allTopologies = {{{0, 1, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 1}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
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      {0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 1}, {1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0}, {0, 2, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 1}, 
      {0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 2, 0}, {0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 1}, {1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 3, 0, 0, 0, 0, 0}, {0, 3, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 1, 1, 0}, {2, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 1}, {2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 2, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 2, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 2, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0}, {1, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 2, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 2, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 0, 1, 1, 1, 0}, 
      {0, 0, 1, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 0, 1, 1, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 1, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 2, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 2, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 2, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {2, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {2, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {2, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 2, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {2, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 1, 0, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 1, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 1, 0, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {2, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 3, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 3, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 2, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 2, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 3, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 3, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 3, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 2, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 1, 3, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 3, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 2, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 2, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 3, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 3, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 1}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 0, 0, 1, 1, 1, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, 
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     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0, 0}, 
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     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
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     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
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     {{0, 1, 0, 0, 0, 0, 1, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
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     {{0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 1, 0}, 
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     {{0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 1}, 
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     {{0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
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     {{0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 2, 1, 0, 0, 0, 0}, 
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     {{0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 0, 0, 1, 1, 1, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 2, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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       0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 1}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 
       0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 
       1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 
       0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}}
 
renormalizableTopologies = {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 
       1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 
       1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
       1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0, 
       0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 
       0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 
       1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 
       0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 
       0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 2, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0}, 
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      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0}, 
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      {1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 2, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 0, 0, 1, 1, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {2, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 2, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 2, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1}, {2, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {2, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 2, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 2, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 3, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 3, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 3, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 0, 3, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 2}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 0, 1, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 3, 0, 0, 0, 0, 0}, {0, 1, 3, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 1, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 2, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 2, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 0, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 2, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 2, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 2, 1, 1, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 1, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 2, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 0, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
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      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
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      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 2, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 3, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 2, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 2}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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     {{0, 0, 1, 2, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
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     {{0, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
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     {{0, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
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     {{0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, 
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      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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     {{0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}}, {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
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     {{0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1}}, 
     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 
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       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 
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       0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
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       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 1}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 
       0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 
       1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 
       0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
       1}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}}
 
noTadpoleTopologies = {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 
       0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
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       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 
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       1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
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       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 
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       0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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       1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 
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       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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       1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 
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     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 2, 1, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 1, 0, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 1, 1, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 1, 1, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 3, 0, 0, 0, 0}, 
      {0, 0, 1, 3, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 2, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 2, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 1, 1}, {2, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {2, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 2, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 0, 2, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 2, 1, 1, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 2, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 3, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 0, 3, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 3, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 3, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 3, 0, 0, 0, 0}, {0, 0, 1, 3, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 2, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
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      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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      {0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 3}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}}, {{0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 
       1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 
       0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 
       1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 
       1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
       0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 
       0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 
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       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 
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       0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 1, 1}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
       0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 
       1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
       0}, {0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 1, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}}, {{0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 
       0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
       0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 
       1, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 2, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 
       1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 
       0}, {1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 
       1, 1, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0, 1, 0}, {0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 
       1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 
       0}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 
       0, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 
       0, 1, 1, 0}, {1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
       0}, {0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 0, 0, 
       0, 0, 1}, {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}}, {{0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 
       0}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0}, {0, 0, 2, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}}
 
noSelfEnergyTopologies = {{{0, 1, 1, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
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       0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0}, 
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     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0}, 
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     {{0, 2, 1, 0, 1, 0, 0, 0, 0}, {2, 0, 0, 1, 0, 1, 0, 0, 0}, 
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     {{0, 1, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 2, 0, 1, 0, 0, 0}, 
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     {{0, 0, 2, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 1, 0, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 1, 1, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
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      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 2, 0, 0, 0, 0}, 
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      {0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 0, 1, 1, 1, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
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      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {2, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 2, 0, 0, 0, 1, 0, 0, 0}, {1, 2, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 2, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}}
 
onePITopologies = {{{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 1, 0, 0, 
       0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 1, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 1, 0, 1, 0, 0}, 
      {1, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 
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       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 
       1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
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       1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 
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       0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
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       1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 
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       0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
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       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
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       0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
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       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 
       0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
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       0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
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       0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 
       1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
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       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 
       0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
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       1}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
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      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
       0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
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       0}, {0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 
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       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
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       0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 
       0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
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       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
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     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
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      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 2, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 2, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 1, 0, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, {2, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 2, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 2, 0, 0, 0, 1, 0}, {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 2, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 2, 0, 0, 2, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 2, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 2, 0, 0, 0, 1}, {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 0, 0, 2, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, {2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, {0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0}, 
      {2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}}
 
normalGenuineTopologies = {{{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 1, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 1, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 1, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 1, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, {{0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 
       0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 
       0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
       0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 
       0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 
       1, 0, 0}, {0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
       1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 
       0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
       0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 
       0}, {0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 0, 0, 0, 
       0, 1, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 
       1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 
       0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}}, 
     {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
       0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 1, 0, 
       0, 0, 0}, {0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 
       0}, {0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 1, 1, 0, 0, 
       0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 
       0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0, 0, 0}}, {{0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
       0}, {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 
       0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}}}
 
specialGenuineTopologies = {{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 1, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 0, 1, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 1, 1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0}}, 
     {{0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, 
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      {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 
       0}}, {{0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 
       1, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
       1}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 
       1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 
       1, 0, 0}, {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 
       1}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 
       0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 
       0}, {0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 
       0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 
       0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 
       0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 
       0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 
       0, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 
       0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0, 0, 1, 0}, 
      {0, 1, 0, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 1, 0, 0, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 0, 0, 1, 1, 0, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 1, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0}}}
 
nonGenuineFiniteTopologies = {{{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 1, 1, 0, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 1, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1}, 
      {1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 
       0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 
       1}, {0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 
       0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 
       0}}}
 
nonGenuineInfiniteTopologies = {{{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 1, 1}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 2}, {0, 0, 1, 0, 0, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 1, 0, 0, 2}, {0, 0, 1, 0, 1, 0, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 2, 2, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 1, 0, 2}, {0, 0, 0, 0, 1, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 1, 0, 0, 0, 1, 0, 1, 0}, {1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 1, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 2, 2, 0}}, {{0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 2}, 
      {0, 0, 0, 0, 1, 1, 0, 0, 2, 0}}, {{0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 1, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 1, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1, 0, 0, 2}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 2, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 0, 2, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 2, 0, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 2}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 2, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 1, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 2, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 0, 1, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 1, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0, 2, 0}, 
      {0, 0, 1, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 1, 0, 0, 2, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 0, 2, 1, 0}}, {{0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 1, 0, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 2}, 
      {0, 0, 1, 0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 0, 2, 0, 1}, 
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      {0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1}, 
      {0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2}, {0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1}, 
      {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, 
      {0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0}, 
      {0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0}}, 
     {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0}, {0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0}, 
      {0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0}, 
      {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0}}, {{0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0}, {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0}, 
      {0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0}, {0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1}, 
      {0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2}, 
      {0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0}}}
 
normalGenuineDiagrams = {{{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, 
       {}}, {{"S"}, {}, {"S"}, {}, {}, {"S"}, {"S"}, {}, {}, {}}, 
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      {{"S"}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {"F"}, {}, {}, {}, {}, {"F"}, {}}, 
      {{}, {"S"}, {}, {"F"}, {}, {}, {}, {}, {}, {"F"}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {"S"}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"S"}, {}, {}, {"S"}, {"S"}, {}, {}, {}}, 
      {{"S"}, {"S"}, {}, {}, {}, {}, {}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {"F"}}, 
      {{}, {"S"}, {}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {"S"}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"S"}, {}, {}, {}, {"S"}, {"S"}, {}, {}}, 
      {{"S"}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {"F"}, {}, {}, {}, {}, {"F"}, {}}, 
      {{}, {}, {"S"}, {"F"}, {}, {}, {}, {}, {}, {"F"}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"S"}, {}, {}, {}, {"S"}, {"S"}, {}, {}}, 
      {{"S"}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {"S"}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"S"}, {"S"}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {"F"}, {}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {"F"}}, 
      {{}, {"S"}, {"F"}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {"S"}, {}, {"S"}, {}, {}, {"S"}, {}, {}}, 
      {{"S"}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {"F"}, {}, {}, {}, {}, {"F"}, {}}, 
      {{}, {}, {"S"}, {"F"}, {}, {}, {}, {}, {}, {"F"}}, 
      {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {"S"}, {}, {"S"}, {}, {}, {"S"}, {}, {}}, 
      {{"S"}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}}, 
      {{}, {"S"}, {}, {}, {}, {"F"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {"S"}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"S"}, {"S"}, {}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"F"}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}}, 
      {{}, {"S"}, {}, {"F"}, {}, {}, {}, {}, {}, {"F"}}, 
      {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"S"}, {"S"}, {}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{"S"}, {}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}}, 
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      {{}, {"S"}, {}, {}, {"F"}, {}, {}, {}, {}, {"F"}}, 
      {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"S"}, {"S"}, {}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"F"}, {}, {}, {}, {"F"}, {}}, 
      {{}, {"S"}, {"F"}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {"F"}, {}, {}, {}, {}, {}, {}, {"F"}}, 
      {{"S"}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, 
       {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}, {}}, 
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      {{}, {"F"}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {}}, 
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      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}, {}}, 
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      {{}, {}, {"F"}, {}, {"S"}, {}, {}, {}, {}, {}, {"F"}}, 
      {{}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
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     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}, {}}, 
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      {{"S"}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}}, 
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      {{}, {"F"}, {}, {}, {}, {}, {"F"}, {}, {}, {"S"}, {}}, 
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      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}}, 
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      {{"S"}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}}, 
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      {{}, {"F"}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {}}, 
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      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {}, {}}, 
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      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}}, 
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     {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}, {}}, 
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      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
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      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"S"}, {"S"}, {}}}, 
     {{{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}, {}, {}}, 
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      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"F"}}, 
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      {{}, {}, {}, {}, {}, {}, {"F"}, {"S"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {}, {"F"}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {"F"}, {"S"}, {}}}, 
     {{{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {"S"}, {"S"}, {}, {}}, 
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      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {}, {"F"}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {}, {"F"}, {"S"}}, 
      {{}, {}, {}, {}, {"S"}, {"S"}, {"S"}, {}, {}, {}, {}, {}}, 
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      {{}, {}, {}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"S"}, {"S"}, {}}}, 
     {{{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {}, {}, {}, {"S"}, {"S"}, {}, {}}, 
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      {{}, {}, {}, {}, {}, {}, {"F"}, {"S"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {"S"}, {"F"}, {}}}, 
     {{{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
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      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {"F"}, {}, {"S"}}, 
      {{}, {}, {}, {}, {"S"}, {}, {"S"}, {}, {}, {}, {"S"}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {"S"}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"S"}, {"S"}, {}}}, 
     {{{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {}, {"S"}, {}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {"S"}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {}, {"S"}, {}, {"F"}}, 
      {{}, {}, {}, {}, {"S"}, {}, {"S"}, {}, {}, {}, {"S"}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {"S"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {"S"}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {"F"}, {"S"}, {}}}, 
     {{{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {"F"}, {}, {}, {}, {"F"}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {"F"}, {}, {}, {}, {}, {"S"}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {"F"}, {}, {"S"}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {"F"}, {}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {"F"}, {"F"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"F"}, {}, {"F"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {}, {"S"}, {"F"}, {"F"}, {}}}, 
     {{{}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"S"}, {}, {}, {"F"}, {}, {}, {}, {"F"}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {"F"}, {}, {}, {}, {}, {"S"}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}, {"F"}, {}, {"S"}, {}}, 
      {{}, {}, {}, {}, {}, {"F"}, {}, {"F"}, {}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {"S"}, {}, {}, {}, {"S"}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {"S"}, {}, {"S"}, {}, {"S"}}, 
      {{}, {}, {}, {}, {}, {}, {}, {}, {"S"}, {"S"}, {"S"}, {}}}}
 
normalGenuineAmpDiagrams = {{{{}, {}, {"S"}, {"S"}, {"S", "S"}, {}, {}}, 
      {{}, {}, {}, {"F"}, {"S"}, {}, {"F"}}, {{"S"}, {}, {}, {"F"}, {}, 
       {"F"}, {}}, {{"S"}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{"S", "S"}, {"S"}, {}, {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, 
       {}}, {{}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {}, {"S"}, {"S"}, {"S", "S"}, {}, {}}, {{}, {}, {"F"}, {"F"}, 
       {"S"}, {}, {}}, {{"S"}, {"F"}, {}, {}, {}, {}, {"F"}}, 
      {{"S"}, {"F"}, {}, {}, {}, {"F"}, {}}, {{"S", "S"}, {"S"}, {}, {}, {}, 
       {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, 
       {}}}, {{{}, {"S"}, {"S"}, {"S"}, {"S"}, {}, {}}, 
      {{"S"}, {}, {}, {}, {"F"}, {}, {"F"}}, {{"S"}, {}, {}, {"F"}, {}, 
       {"F"}, {}}, {{"S"}, {}, {"F"}, {}, {"F"}, {}, {}}, 
      {{"S"}, {"F"}, {}, {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"F"}, {}, {}, {}, {}, {}}}, {{{}, {"S"}, {"S"}, {}, {}, {"S"}, 
       {}, {}}, {{"S"}, {}, {"S"}, {}, {"S"}, {}, {}, {}}, 
      {{"S"}, {"S"}, {}, {"S"}, {}, {}, {}, {}}, {{}, {}, {"S"}, {}, {}, 
       {"F"}, {}, {"F"}}, {{}, {"S"}, {}, {}, {}, {"F"}, {"F"}, {}}, 
      {{"S"}, {}, {}, {"F"}, {"F"}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, 
       {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {}, {}, {"S"}, {"S"}, {}, {}}, {{"S"}, {}, {"S"}, {"S"}, 
       {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, {"F"}, {}, {"F"}}, 
      {{}, {"S"}, {}, {}, {"F"}, {}, {"F"}, {}}, {{"S"}, {}, {}, {"F"}, {}, 
       {"F"}, {}, {}}, {{"S"}, {}, {"F"}, {}, {"F"}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, 
       {}}}, {{{}, {"S"}, {}, {}, {"S"}, {"S"}, {}, {}}, 
      {{"S"}, {}, {"S"}, {"S"}, {}, {}, {}, {}}, {{}, {"S"}, {}, {"F"}, {}, 
       {}, {}, {"F"}}, {{}, {"S"}, {"F"}, {}, {}, {"F"}, {}, {}}, 
      {{"S"}, {}, {}, {}, {}, {"F"}, {"F"}, {}}, {{"S"}, {}, {}, {"F"}, 
       {"F"}, {}, {}, {}}, {{}, {}, {}, {}, {"F"}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}}}, 
     {{{}, {"S"}, {}, {}, {"S"}, {"S"}, {}, {}}, {{"S"}, {}, {"S"}, {"S"}, 
       {}, {}, {}, {}}, {{}, {"S"}, {}, {}, {}, {"F"}, {}, {"F"}}, 
      {{}, {"S"}, {}, {}, {"F"}, {"F"}, {}, {}}, {{"S"}, {}, {}, {"F"}, {}, 
       {}, {"F"}, {}}, {{"S"}, {}, {"F"}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, 
       {}}}, {{{}, {}, {}, {"S"}, {"S"}, {"S"}, {}, {}}, 
      {{}, {}, {"S"}, {}, {}, {"F"}, {}, {"F"}}, {{}, {"S"}, {}, {}, {"F"}, 
       {}, {"F"}, {}}, {{"S"}, {}, {}, {}, {"F"}, {"F"}, {}, {}}, 
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       {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {"F"}, {}, {}, {}, {}, {}, {}}}, 
     {{{}, {}, {}, {"S"}, {"S"}, {"S"}, {}, {}}, {{}, {}, {"S"}, {}, {}, 
       {"F"}, {}, {"F"}}, {{}, {"S"}, {}, {"F"}, {"F"}, {}, {}, {}}, 
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       {"F"}, {}, {}}, {{"S"}, {"F"}, {}, {}, {"F"}, {}, {}, {}}, 
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       {}}}, {{{}, {}, {}, {"S"}, {"S"}, {"S"}, {}, {}}, 
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      {{}, {"F"}, {}, {}, {}, {}, {}, {}}}, 
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       {}, {"F"}, {}}, {{"S"}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, 
       {}}}, {{{}, {}, {"F"}, {"S"}, {}, {}, {}, {"F"}}, 
      {{}, {}, {"S"}, {"F"}, {}, {"F"}, {}, {}}, {{"F"}, {"S"}, {}, {}, 
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       {}, {"F"}, {}}, {{"F"}, {"S"}, {}, {}, {}, {"F"}, {}, {}}, 
      {{"S"}, {"F"}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, 
       {"F", "S"}, {}, {}}, {{}, {}, {"F"}, {}, {"F", "S"}, {}, {}, {}}, 
      {{}, {"F"}, {}, {}, {}, {}, {}, {}}, {{"F"}, {}, {}, {}, {}, {}, {}, 
       {}}}, {{{}, {}, {}, {}, {"F"}, {"S"}, {}, {"F"}}, 
      {{}, {}, {}, {"F"}, {"S"}, {}, {"F"}, {}}, {{}, {}, {}, {"S"}, {"F"}, 
       {"F"}, {}, {}}, {{}, {"F"}, {"S"}, {}, {}, {"F"}, {}, {}}, 
      {{"F"}, {"S"}, {"F"}, {}, {}, {}, {}, {}}, {{"S"}, {}, {"F"}, {"F"}, 
       {}, {}, {}, {}}, {{}, {"F"}, {}, {}, {}, {}, {}, {}}, 
      {{"F"}, {}, {}, {}, {}, {}, {}, {}}}, 
     {{{}, {}, {}, {}, {"F"}, {"S"}, {}, {"F"}}, {{}, {}, {}, {"F"}, {"S"}, 
       {"F"}, {}, {}}, {{}, {}, {}, {"S"}, {"F"}, {"F"}, {}, {}}, 
      {{}, {"F"}, {"S"}, {}, {}, {}, {"F"}, {}}, {{"F"}, {"S"}, {"F"}, {}, 
       {}, {}, {}, {}}, {{"S"}, {"F"}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{"F"}, {}, {}, {}, {}, {}, {}, 
       {}}}, {{{}, {}, {}, {}, {"F"}, {"S"}, {}, {"F"}}, 
      {{}, {}, {}, {"F"}, {"S"}, {"F"}, {}, {}}, {{}, {}, {}, {"S"}, {"F"}, 
       {}, {"F"}, {}}, {{}, {"F"}, {"S"}, {}, {}, {"F"}, {}, {}}, 
      {{"F"}, {"S"}, {"F"}, {}, {}, {}, {}, {}}, {{"S"}, {"F"}, {}, {"F"}, 
       {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{"F"}, {}, {}, {}, {}, {}, {}, {}}}, 
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       {"S"}, {}, {}, {}}, {{}, {"F"}, {}, {"S"}, {}, {"F"}, {}, {}}, 
      {{}, {"F"}, {"S"}, {}, {"F"}, {}, {}, {}}, {{"F"}, {"S"}, {}, {"F"}, 
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      {{}, {}, {}, {}, {}, {"F"}, {}, {}}, {{"F"}, {}, {}, {}, {}, {}, {}, 
       {}}}, {{{}, {}, {}, {}, {"F"}, {"S"}, {}, {"F"}}, 
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       {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{"F"}, {}, {}, {}, {}, {}, {}, {}}}}
 
specialGenuineAmpDiagrams = {{{{}, {}, {}, {"F"}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}}, {{}, {"F"}, {}, {"F"}, {}, {"S"}}, 
      {{"F"}, {}, {"F"}, {}, {"S"}, {}}, {{}, {}, {}, {"S"}, {}, 
       {"S", "S", "S"}}, {{}, {}, {"S"}, {}, {"S", "S", "S"}, {}}}, 
     {{{}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {"F"}, {}, {}, {"S"}, {"F"}, {}}, {{"F"}, {}, {}, {}, {"S"}, 
       {"F"}, {}}, {{}, {}, {"S"}, {"S"}, {}, {}, {"S"}}, 
      {{}, {}, {"F"}, {"F"}, {}, {}, {"S"}}, {{}, {}, {}, {}, {"S"}, {"S"}, 
       {"S"}}}, {{{}, {}, {}, {"F"}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, 
       {}}, {{}, {"F"}, {}, {"S"}, {}, {"F"}, {}}, {{"F"}, {}, {"S"}, {}, 
       {"F"}, {}, {}}, {{}, {}, {}, {"F"}, {}, {"F"}, {"S"}}, 
      {{}, {}, {"F"}, {}, {"F"}, {}, {"S"}}, {{}, {}, {}, {}, {"S"}, {"S"}, 
       {"S"}}}, {{{}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, 
       {}}, {{"F"}, {}, {}, {"F"}, {"S"}, {}, {}}, {{}, {"F"}, {"F"}, {}, {}, 
       {}, {"S"}}, {{}, {}, {"S"}, {}, {}, {"S"}, {"S"}}, 
      {{}, {}, {}, {}, {"S"}, {}, {"S", "S"}}, {{}, {}, {}, {"S"}, {"S"}, 
       {"S", "S"}, {}}}, {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {"F"}, {}, {}, {"S"}, {"F"}, 
       {}, {}}, {{"F"}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {}, {"S"}, {"S"}, {}, {}, {"S"}, {}}, {{}, {}, {"F"}, {"F"}, {}, 
       {}, {}, {"S"}}, {{}, {}, {}, {}, {"S"}, {}, {}, {"F", "F"}}, 
      {{}, {}, {}, {}, {}, {"S"}, {"F", "F"}, {}}}, 
     {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, 
       {}}, {{}, {"F"}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{"F"}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, {{}, {}, {"S"}, {"S"}, {}, 
       {}, {"S"}, {}}, {{}, {}, {"F"}, {"F"}, {}, {}, {}, {"S"}}, 
      {{}, {}, {}, {}, {"S"}, {}, {}, {"S", "S"}}, {{}, {}, {}, {}, {}, 
       {"S"}, {"S", "S"}, {}}}, {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {"F"}, {}, {"F"}, {}, {"S"}, 
       {}, {}}, {{"F"}, {}, {"F"}, {}, {"S"}, {}, {}, {}}, 
      {{}, {}, {}, {"S"}, {}, {}, {"F"}, {"F"}}, {{}, {}, {"S"}, {}, {}, {}, 
       {"F"}, {"F"}}, {{}, {}, {}, {}, {"F"}, {"F"}, {}, {"S"}}, 
      {{}, {}, {}, {}, {"F"}, {"F"}, {"S"}, {}}}, 
     {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, 
       {}}, {{}, {"F"}, {}, {"F"}, {}, {"S"}, {}, {}}, 
      {{"F"}, {}, {"F"}, {}, {"S"}, {}, {}, {}}, {{}, {}, {}, {"S"}, {}, {}, 
       {"S"}, {"S"}}, {{}, {}, {"S"}, {}, {}, {}, {"S"}, {"S"}}, 
      {{}, {}, {}, {}, {"S"}, {"S"}, {}, {"S"}}, {{}, {}, {}, {}, {"S"}, 
       {"S"}, {"S"}, {}}}, {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {"F"}, {}, {"F"}, {}, {"S"}, 
       {}, {}}, {{"F"}, {}, {"F"}, {}, {"S"}, {}, {}, {}}, 
      {{}, {}, {}, {"S"}, {}, {"F"}, {}, {"F"}}, {{}, {}, {"S"}, {}, {"F"}, 
       {}, {"F"}, {}}, {{}, {}, {}, {}, {}, {"F"}, {}, {"F", "S"}}, 
      {{}, {}, {}, {}, {"F"}, {}, {"F", "S"}, {}}}, 
     {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {"F"}, {}, {}, {}, {}, 
       {}}, {{}, {"F"}, {}, {"S"}, {}, {"F"}, {}, {}}, 
      {{"F"}, {}, {"S"}, {}, {"F"}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, 
       {"F"}, {}, {"S"}}, {{}, {}, {"F"}, {}, {"F"}, {}, {"S"}, {}}, 
      {{}, {}, {}, {}, {}, {"S"}, {}, {"F", "F"}}, {{}, {}, {}, {}, {"S"}, 
       {}, {"F", "F"}, {}}}, {{{}, {}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {"F"}, {}, {"S"}, {}, {"F"}, 
       {}, {}}, {{"F"}, {}, {"S"}, {}, {"F"}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {"F"}, {}, {"S"}}, {{}, {}, {"F"}, {}, {"F"}, 
       {}, {"S"}, {}}, {{}, {}, {}, {}, {}, {"S"}, {}, {"S", "S"}}, 
      {{}, {}, {}, {}, {"S"}, {}, {"S", "S"}, {}}}, 
     {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, 
       {}}, {{"F"}, {}, {}, {"F"}, {"S"}, {}, {}, {}}, 
      {{}, {"F"}, {"F"}, {}, {}, {"S"}, {}, {}}, {{}, {}, {"S"}, {}, {}, {}, 
       {"S"}, {"S"}}, {{}, {}, {}, {"S"}, {}, {}, {"F"}, {"F"}}, 
      {{}, {}, {}, {}, {"S"}, {"F"}, {}, {"F"}}, {{}, {}, {}, {}, {"S"}, 
       {"F"}, {"F"}, {}}}, {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{"F"}, {}, {}, {}, {"F"}, {"S"}, 
       {}, {}}, {{}, {"F"}, {}, {}, {"S"}, {}, {"F"}, {}}, 
      {{}, {}, {"F"}, {"S"}, {}, {"F"}, {}, {}}, {{}, {}, {"S"}, {}, {"F"}, 
       {}, {}, {"F"}}, {{}, {}, {}, {"F"}, {}, {}, {}, {"F", "S"}}, 
      {{}, {}, {}, {}, {}, {"F"}, {"F", "S"}, {}}}, 
     {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, 
       {}}, {{"F"}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {"F"}, {}, {}, {"S"}, {}, {"F"}, {}}, {{}, {}, {"S"}, {"S"}, {}, 
       {"S"}, {}, {}}, {{}, {}, {"F"}, {}, {"S"}, {}, {}, {"F"}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {"F", "S"}}, {{}, {}, {}, {}, {}, 
       {"F"}, {"F", "S"}, {}}}, {{{}, {}, {"F"}, {}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}}, {{"F"}, {}, {}, {}, {"F"}, {}, {"S"}}, 
      {{}, {"F"}, {}, {}, {"F"}, {"S"}, {}}, {{}, {}, {"F"}, {"F"}, {}, 
       {"S"}, {}}, {{}, {}, {}, {"S"}, {"S"}, {}, {"S"}}, 
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     {{{}, {}, {"F"}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}}, 
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       {"F"}, {}}, {{}, {}, {"F"}, {"S"}, {}, {"F"}, {}}, 
      {{}, {}, {}, {"F"}, {"F"}, {}, {"S"}}, {{}, {}, {"S"}, {}, {}, {"S"}, 
       {"S"}}}, {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{"F"}, {}, {}, {}, {"F"}, {"S"}, 
       {}, {}}, {{}, {"F"}, {}, {}, {"F"}, {}, {"S"}, {}}, 
      {{}, {}, {"F"}, {"F"}, {}, {"S"}, {}, {}}, {{}, {}, {"S"}, {}, {"S"}, 
       {}, {}, {"S"}}, {{}, {}, {}, {"S"}, {}, {}, {}, {"F", "F"}}, 
      {{}, {}, {}, {}, {}, {"S"}, {"F", "F"}, {}}}, 
     {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, 
       {}}, {{"F"}, {}, {}, {}, {"F"}, {"S"}, {}, {}}, 
      {{}, {"F"}, {}, {}, {"F"}, {}, {"S"}, {}}, {{}, {}, {"F"}, {"F"}, {}, 
       {"S"}, {}, {}}, {{}, {}, {"S"}, {}, {"S"}, {}, {}, {"S"}}, 
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       {"S"}, {"S", "S"}, {}}}, {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, 
      {{}, {}, {}, {"F"}, {}, {}, {}, {}}, {{"F"}, {}, {}, {}, {"S"}, {"F"}, 
       {}, {}}, {{}, {"F"}, {}, {}, {"F"}, {}, {"S"}, {}}, 
      {{}, {}, {"S"}, {"F"}, {}, {"F"}, {}, {}}, {{}, {}, {"F"}, {}, {"F"}, 
       {}, {}, {"S"}}, {{}, {}, {}, {"S"}, {}, {}, {}, {"F", "F"}}, 
      {{}, {}, {}, {}, {}, {"S"}, {"F", "F"}, {}}}, 
     {{{}, {}, {"F"}, {}, {}, {}, {}, {}}, {{}, {}, {}, {"F"}, {}, {}, {}, 
       {}}, {{"F"}, {}, {}, {}, {"S"}, {"F"}, {}, {}}, 
      {{}, {"F"}, {}, {}, {"F"}, {}, {"S"}, {}}, {{}, {}, {"S"}, {"F"}, {}, 
       {"F"}, {}, {}}, {{}, {}, {"F"}, {}, {"F"}, {}, {}, {"S"}}, 
      {{}, {}, {}, {"S"}, {}, {}, {}, {"S", "S"}}, {{}, {}, {}, {}, {}, 
       {"S"}, {"S", "S"}, {}}}}
	   

	   
PaintLabelledDiagramAux[edges_, labels_, style_, OptionsPattern[]] := 
    Module[{edgesets, result}, colorFuncSet[edge_, clist_] := 
       With[{a = Unique["x"]}, {Inactive[a], Inactive[
          edge -> (a = 0; {a++; Append[clist[[a]], Line[#1]]} & )]}]; 
      SetColorFunction[edgeset_] := Block[{gather}, 
        gather = (colorFuncSet[#1[[1,1]], #1[[All,2]]] & ) /@ 
           GatherBy[edgesets, First]; With[{var = gather[[All,1]], 
            cont = gather[[All,2]]}, Hold[Module[var, cont]]] /. 
          Inactive[x_] :> x]; edgesets = MapThread[List, 
        {edges, labels /. style}]; result = Graph[edgesets[[All,1]], 
        EdgeShapeFunction -> ReleaseHold[SetColorFunction[edgesets]], 
        ImageSize -> OptionValue[ImageSize]]; Return[result]; ]
 
Options[PaintLabelledDiagramAux] = {ImageSize -> 300}
 
colorFuncSet[edge_, clist_] := With[{a = Unique["x"]}, 
     {Inactive[a], Inactive[edge -> (a = 0; 
         {a++; Append[clist[[a]], Line[#1]]} & )]}]
 
SetColorFunction[edgeset$_] := Block[{gather}, 
     gather = (colorFuncSet[#1[[1,1]], #1[[All,2]]] & ) /@ 
        GatherBy[edgesets$632192, First]; 
      With[{var = gather[[All,1]], cont = gather[[All,2]]}, 
        Hold[Module[var, cont]]] /. Inactive[x_] :> x]
 
Attributes[edgeset$] = {Temporary}
 
Attributes[edgesets$632192] = {Temporary}
 
edgesets$632192 = {{UndirectedEdge[1, 2], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 3], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 7], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[1, 7], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[2, 4], {}}, {UndirectedEdge[2, 8], {}}, 
     {UndirectedEdge[3, 5], {}}, {UndirectedEdge[3, 9], {}}, 
     {UndirectedEdge[4, 6], {}}, {UndirectedEdge[4, 10], 
      {Dashing[{Small, Small}]}}, {UndirectedEdge[5, 6], {}}, 
     {UndirectedEdge[5, 11], {Dashing[{Small, Small}]}}, 
     {UndirectedEdge[6, 7], {Dashing[{Small, Small}]}}}
 
PaintLabelledDiagram = PaintLabelledDiagram
 
PaintLabelledDiagram[labelledAdMatrix_, OptionsPattern[]] := 
    Module[{intMat, edgeList, edgeLabels}, 
     intMat = Map[Length, labelledAdMatrix, {2}]; 
      edgeList = Position[UpperTriangularize[intMat], x_ /; x > 0]; 
      edgeLabels = Extract[labelledAdMatrix, edgeList]; 
      edgeList = Flatten[MapThread[ConstantArray, {edgeList, 
          Length /@ edgeLabels}], 1]; edgeLabels = Flatten[edgeLabels]; 
      Return[PaintLabelledDiagramAux[Apply[UndirectedEdge, edgeList, {1}], 
        edgeLabels, {"S" -> {Dashed}, "F" -> {}, 
         "V" -> {DotDashed, Darker[Red], Thick}, 
         "VF" -> {Darker[Red], Thick}}, ImageSize -> 
         OptionValue[ImageSize]]]; ]
 
Options[PaintLabelledDiagram] = {ImageSize -> 300}