{{{1, 2}, {1, 3}, {1, 4}, {2, 4}, {3, 4}}, {{1, 2}, {1, 3}, {2, 4}, {2, 5}, 
  {3, 4}, {3, 5}, {4, 6}, {5, 6}}, {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {2, 5}, 
  {3, 6}, {4, 6}, {5, 6}}, {{1, 2}, {1, 3}, {2, 3}, {2, 5}, {3, 4}, {4, 5}, 
  {4, 6}, {5, 6}}, {{1, 2}, {1, 3}, {2, 4}, {2, 6}, {3, 5}, {3, 6}, {4, 7}, 
  {4, 8}, {5, 7}, {5, 8}, {6, 7}}, {{1, 2}, {1, 3}, {2, 3}, {2, 5}, {3, 4}, 
  {4, 5}, {4, 7}, {5, 6}, {6, 7}, {6, 8}, {7, 8}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 6}, {4, 5}, {5, 7}, {5, 8}, 
  {6, 8}, {7, 8}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {3, 8}, {4, 6}, 
  {4, 7}, {5, 6}, {6, 7}, {7, 8}}, {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {2, 5}, 
  {3, 6}, {3, 7}, {4, 7}, {5, 6}, {6, 8}, {7, 8}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 5}, {3, 6}, {3, 7}, {4, 5}, {4, 7}, {5, 6}, 
  {6, 8}, {7, 8}}, {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {2, 7}, {3, 5}, {3, 8}, 
  {4, 6}, {5, 6}, {6, 7}, {7, 8}}, {{1, 2}, {1, 3}, {1, 4}, {2, 7}, {3, 5}, 
  {3, 8}, {4, 6}, {4, 8}, {5, 6}, {6, 7}, {7, 8}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {5, 7}, {5, 8}, 
  {6, 7}, {6, 8}}, {{1, 2}, {1, 3}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {4, 8}, 
  {5, 7}, {5, 8}, {6, 7}, {6, 8}}, {{1, 2}, {1, 3}, {2, 4}, {2, 7}, {3, 5}, 
  {3, 6}, {4, 5}, {4, 7}, {5, 8}, {6, 7}, {6, 8}}, 
 {{1, 2}, {1, 3}, {2, 5}, {2, 7}, {3, 4}, {3, 6}, {4, 8}, {5, 6}, {5, 8}, 
  {6, 7}, {7, 8}}, {{1, 2}, {1, 3}, {2, 3}, {2, 5}, {3, 4}, {4, 6}, {4, 7}, 
  {5, 6}, {5, 7}, {6, 8}, {7, 8}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, 
  {3, 4}, {3, 5}, {4, 5}, {5, 8}, {6, 8}, {7, 9}, {7, 10}, {8, 9}, {9, 10}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {5, 6}, {5, 8}, 
  {6, 7}, {7, 9}, {7, 10}, {8, 9}, {8, 11}, {10, 11}, {10, 12}, {11, 12}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {3, 6}, {4, 7}, {4, 8}, {5, 6}, 
  {5, 9}, {6, 10}, {7, 9}, {7, 12}, {8, 11}, {9, 10}, {10, 11}, {11, 12}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 8}, {2, 9}, {3, 7}, {3, 9}, {4, 5}, {4, 6}, 
  {5, 6}, {5, 10}, {6, 10}, {7, 14}, {8, 12}, {8, 13}, {9, 11}, {10, 11}, 
  {11, 12}, {12, 14}, {13, 14}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, 
  {3, 4}, {3, 5}, {4, 5}, {5, 8}, {6, 10}, {6, 11}, {7, 8}, {7, 9}, {8, 14}, 
  {9, 12}, {10, 13}, {10, 14}, {11, 12}, {11, 13}, {12, 14}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, 
  {6, 9}, {6, 11}, {7, 9}, {7, 10}, {8, 9}, {8, 12}, {10, 14}, {11, 13}, 
  {12, 13}, {12, 14}, {13, 14}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, 
  {3, 4}, {3, 5}, {4, 5}, {5, 8}, {6, 10}, {7, 9}, {8, 9}, {8, 11}, {9, 12}, 
  {10, 13}, {10, 14}, {11, 12}, {11, 14}, {12, 13}, {13, 14}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 8}, {2, 9}, {3, 5}, {3, 6}, {4, 5}, {4, 7}, 
  {5, 6}, {6, 10}, {7, 8}, {7, 10}, {8, 12}, {9, 11}, {10, 13}, {11, 12}, 
  {11, 14}, {12, 14}, {13, 14}}, {{1, 2}, {1, 3}, {1, 4}, {2, 5}, {2, 9}, 
  {3, 5}, {3, 8}, {4, 6}, {4, 7}, {5, 6}, {6, 7}, {7, 11}, {8, 10}, {8, 13}, 
  {9, 10}, {9, 12}, {11, 13}, {11, 14}, {12, 14}, {13, 14}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 7}, {3, 7}, {4, 5}, {4, 6}, {5, 8}, 
  {5, 9}, {6, 7}, {6, 8}, {8, 10}, {9, 11}, {9, 12}, {10, 11}, {10, 13}, 
  {12, 13}, {12, 14}, {13, 14}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, 
  {3, 4}, {3, 5}, {4, 5}, {5, 8}, {6, 9}, {6, 10}, {7, 11}, {7, 12}, {8, 13}, 
  {8, 14}, {9, 13}, {9, 15}, {10, 11}, {10, 15}, {12, 16}, {13, 16}, 
  {14, 15}, {14, 16}}, {{1, 2}, {1, 3}, {1, 4}, {2, 7}, {2, 8}, {3, 4}, 
  {3, 6}, {4, 5}, {5, 6}, {5, 9}, {6, 7}, {7, 9}, {8, 10}, {8, 11}, {9, 12}, 
  {10, 13}, {10, 14}, {11, 14}, {12, 13}, {12, 16}, {13, 16}, {14, 15}, 
  {15, 16}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, 
  {5, 8}, {6, 10}, {6, 11}, {7, 9}, {7, 11}, {8, 12}, {8, 13}, {9, 15}, 
  {10, 11}, {10, 14}, {12, 13}, {12, 16}, {13, 16}, {14, 15}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {5, 9}, {5, 10}, 
  {6, 7}, {6, 8}, {7, 12}, {7, 13}, {8, 9}, {8, 10}, {9, 11}, {10, 12}, 
  {11, 14}, {11, 15}, {12, 15}, {13, 14}, {14, 16}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 6}, {4, 5}, {5, 7}, {5, 8}, 
  {6, 7}, {6, 9}, {7, 8}, {8, 11}, {9, 10}, {9, 11}, {10, 13}, {10, 14}, 
  {11, 12}, {12, 13}, {13, 15}, {14, 15}, {14, 16}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 6}, {3, 5}, {4, 7}, {4, 8}, {5, 6}, 
  {5, 9}, {6, 7}, {7, 9}, {8, 10}, {8, 11}, {9, 12}, {10, 12}, {11, 13}, 
  {11, 14}, {12, 13}, {13, 16}, {14, 15}, {14, 16}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 5}, {2, 6}, {3, 5}, {3, 6}, {4, 7}, {4, 8}, 
  {5, 9}, {6, 9}, {7, 9}, {7, 11}, {8, 10}, {8, 12}, {10, 13}, {10, 14}, 
  {11, 14}, {11, 15}, {12, 15}, {12, 16}, {13, 14}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {2, 5}, {3, 5}, {3, 6}, {4, 5}, {6, 7}, 
  {6, 8}, {7, 11}, {7, 12}, {8, 9}, {8, 10}, {9, 14}, {9, 15}, {10, 11}, 
  {10, 12}, {11, 15}, {12, 13}, {13, 16}, {14, 16}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 5}, {2, 6}, {3, 8}, {3, 10}, {4, 7}, {4, 9}, 
  {5, 6}, {5, 8}, {6, 11}, {7, 10}, {7, 11}, {8, 11}, {9, 13}, {9, 14}, 
  {10, 12}, {12, 13}, {12, 15}, {14, 15}, {14, 16}, {15, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 7}, {2, 8}, {3, 5}, {3, 6}, {4, 5}, {4, 9}, 
  {5, 10}, {6, 10}, {6, 11}, {7, 14}, {7, 15}, {8, 11}, {8, 12}, {9, 13}, 
  {9, 15}, {10, 11}, {12, 13}, {12, 16}, {14, 15}, {14, 16}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, 
  {6, 8}, {6, 10}, {7, 8}, {7, 9}, {9, 10}, {9, 11}, {10, 12}, {11, 15}, 
  {11, 16}, {12, 13}, {12, 14}, {13, 14}, {13, 17}, {14, 16}, {15, 17}, 
  {15, 18}, {16, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, 
  {3, 5}, {4, 5}, {5, 8}, {6, 7}, {6, 9}, {7, 9}, {8, 10}, {8, 12}, {9, 11}, 
  {10, 15}, {11, 12}, {11, 14}, {12, 13}, {13, 14}, {13, 18}, {14, 16}, 
  {15, 16}, {15, 17}, {16, 17}, {17, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 7}, 
  {2, 8}, {3, 4}, {3, 6}, {4, 5}, {5, 6}, {5, 10}, {6, 9}, {7, 13}, {7, 14}, 
  {8, 11}, {8, 12}, {9, 10}, {9, 15}, {10, 15}, {11, 15}, {11, 16}, {12, 18}, 
  {13, 16}, {14, 17}, {14, 18}, {16, 17}, {17, 18}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, 
  {6, 10}, {6, 11}, {7, 8}, {7, 9}, {8, 12}, {9, 13}, {9, 14}, {10, 14}, 
  {10, 15}, {11, 13}, {11, 14}, {12, 17}, {12, 18}, {13, 16}, {15, 17}, 
  {16, 18}, {17, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, 
  {4, 6}, {5, 7}, {5, 9}, {6, 7}, {6, 8}, {7, 10}, {8, 10}, {8, 11}, {9, 12}, 
  {9, 13}, {10, 11}, {11, 14}, {12, 14}, {12, 15}, {13, 16}, {13, 17}, 
  {15, 16}, {15, 17}, {16, 18}, {17, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, 
  {2, 4}, {3, 5}, {4, 5}, {5, 6}, {6, 7}, {6, 8}, {7, 10}, {7, 11}, {8, 9}, 
  {8, 10}, {9, 13}, {9, 14}, {10, 12}, {11, 12}, {11, 15}, {12, 16}, 
  {13, 16}, {13, 18}, {14, 17}, {15, 17}, {16, 18}, {17, 18}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 6}, {3, 7}, {4, 5}, {4, 8}, {5, 10}, 
  {5, 11}, {6, 8}, {6, 9}, {7, 9}, {7, 10}, {8, 9}, {10, 12}, {11, 13}, 
  {11, 14}, {12, 15}, {12, 16}, {13, 15}, {13, 17}, {14, 17}, {15, 16}, 
  {16, 18}, {17, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {3, 4}, 
  {4, 6}, {5, 6}, {5, 7}, {6, 8}, {7, 9}, {7, 11}, {8, 10}, {8, 11}, {9, 14}, 
  {9, 15}, {10, 12}, {10, 13}, {11, 13}, {12, 17}, {13, 16}, {14, 18}, 
  {15, 16}, {15, 17}, {16, 18}, {17, 18}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, 
  {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, {6, 8}, {6, 9}, {7, 8}, {7, 10}, 
  {9, 12}, {9, 13}, {10, 11}, {10, 14}, {11, 18}, {11, 19}, {12, 20}, 
  {13, 15}, {13, 17}, {14, 16}, {14, 18}, {15, 16}, {15, 17}, {16, 17}, 
  {18, 20}, {19, 20}}, {{1, 2}, {1, 3}, {1, 4}, {2, 7}, {2, 8}, {3, 4}, 
  {3, 6}, {4, 5}, {5, 6}, {5, 9}, {6, 7}, {7, 8}, {8, 10}, {9, 11}, {9, 12}, 
  {10, 13}, {10, 14}, {11, 15}, {11, 16}, {12, 13}, {12, 17}, {13, 17}, 
  {14, 17}, {14, 18}, {15, 20}, {16, 19}, {18, 19}, {18, 20}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 7}, {2, 8}, {3, 4}, {3, 6}, {4, 5}, {5, 6}, 
  {5, 9}, {6, 9}, {7, 8}, {7, 11}, {8, 10}, {9, 12}, {10, 14}, {10, 15}, 
  {11, 13}, {11, 15}, {12, 13}, {12, 16}, {13, 18}, {14, 17}, {16, 18}, 
  {16, 19}, {17, 19}, {17, 20}, {18, 20}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 8}, {2, 9}, {3, 5}, {3, 7}, {4, 5}, {4, 6}, 
  {5, 6}, {6, 7}, {7, 10}, {8, 12}, {8, 13}, {9, 10}, {9, 11}, {10, 12}, 
  {11, 14}, {11, 16}, {12, 13}, {13, 15}, {14, 17}, {15, 16}, {15, 19}, 
  {16, 18}, {17, 19}, {17, 20}, {18, 20}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, 
  {6, 8}, {6, 10}, {7, 9}, {7, 10}, {8, 9}, {9, 12}, {10, 11}, {11, 12}, 
  {11, 14}, {12, 13}, {13, 15}, {13, 16}, {14, 15}, {14, 17}, {15, 18}, 
  {16, 18}, {16, 19}, {17, 19}, {17, 20}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 4}, {3, 5}, {4, 5}, {5, 8}, 
  {6, 7}, {6, 9}, {7, 8}, {8, 10}, {9, 11}, {9, 12}, {10, 11}, {10, 13}, 
  {11, 14}, {12, 14}, {12, 15}, {13, 16}, {13, 17}, {14, 18}, {15, 16}, 
  {16, 20}, {17, 18}, {17, 19}, {18, 19}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {2, 8}, {3, 5}, {3, 6}, {4, 7}, {5, 6}, 
  {5, 7}, {6, 10}, {7, 10}, {8, 9}, {8, 11}, {9, 14}, {9, 15}, {10, 12}, 
  {11, 12}, {11, 13}, {12, 14}, {13, 16}, {13, 17}, {14, 18}, {15, 17}, 
  {15, 18}, {16, 19}, {16, 20}, {17, 19}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {5, 7}, {5, 8}, 
  {6, 9}, {6, 10}, {7, 10}, {7, 12}, {8, 10}, {8, 11}, {9, 13}, {9, 14}, 
  {11, 17}, {11, 18}, {12, 14}, {12, 15}, {13, 14}, {13, 16}, {15, 18}, 
  {15, 19}, {16, 18}, {16, 20}, {17, 19}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 5}, {4, 6}, {5, 7}, {5, 8}, 
  {6, 9}, {6, 10}, {7, 8}, {7, 11}, {8, 9}, {9, 10}, {10, 12}, {11, 14}, 
  {11, 15}, {12, 13}, {12, 15}, {13, 17}, {13, 18}, {14, 15}, {14, 16}, 
  {16, 19}, {16, 20}, {17, 18}, {17, 20}, {18, 19}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 8}, {2, 9}, {3, 5}, {3, 6}, {4, 7}, {4, 10}, 
  {5, 6}, {5, 7}, {6, 7}, {8, 12}, {8, 13}, {9, 11}, {9, 13}, {10, 13}, 
  {10, 14}, {11, 16}, {12, 16}, {12, 17}, {14, 15}, {14, 18}, {15, 17}, 
  {16, 19}, {17, 20}, {18, 19}, {18, 20}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 6}, {3, 5}, {4, 6}, {4, 7}, {5, 8}, 
  {5, 9}, {6, 9}, {7, 8}, {7, 10}, {8, 12}, {9, 13}, {10, 11}, {10, 14}, 
  {11, 13}, {11, 14}, {12, 13}, {12, 16}, {14, 15}, {15, 18}, {16, 17}, 
  {16, 18}, {17, 19}, {17, 20}, {18, 19}, {19, 20}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 9}, {2, 10}, {3, 5}, {3, 8}, {4, 6}, {4, 7}, 
  {5, 6}, {5, 7}, {6, 12}, {7, 8}, {8, 12}, {9, 11}, {9, 13}, {10, 13}, 
  {10, 14}, {11, 12}, {11, 15}, {13, 17}, {14, 15}, {14, 16}, {15, 18}, 
  {16, 17}, {16, 20}, {17, 19}, {18, 20}, {18, 21}, {19, 21}, {19, 22}, 
  {20, 22}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 6}, {3, 5}, {4, 6}, {4, 7}, 
  {5, 6}, {5, 8}, {7, 8}, {7, 9}, {8, 10}, {9, 11}, {9, 12}, {10, 11}, 
  {10, 13}, {11, 12}, {12, 14}, {13, 14}, {13, 15}, {14, 16}, {15, 17}, 
  {15, 18}, {16, 18}, {17, 19}, {17, 20}, {18, 20}, {19, 21}, {19, 22}, 
  {20, 21}, {21, 22}}, {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {3, 5}, 
  {4, 6}, {4, 7}, {5, 6}, {6, 8}, {7, 8}, {7, 9}, {8, 10}, {9, 11}, {9, 12}, 
  {10, 12}, {10, 13}, {11, 14}, {11, 15}, {12, 13}, {13, 14}, {14, 17}, 
  {15, 16}, {16, 17}, {16, 18}, {17, 19}, {18, 19}, {18, 21}, {19, 20}, 
  {20, 21}, {20, 22}, {21, 22}}, {{1, 2}, {1, 3}, {1, 4}, {2, 5}, {2, 6}, 
  {3, 4}, {3, 6}, {4, 7}, {5, 8}, {5, 9}, {6, 9}, {7, 10}, {7, 11}, {8, 9}, 
  {8, 10}, {10, 12}, {11, 12}, {11, 13}, {12, 14}, {13, 15}, {13, 16}, 
  {14, 17}, {14, 18}, {15, 18}, {15, 20}, {16, 19}, {16, 21}, {17, 20}, 
  {17, 22}, {18, 19}, {19, 21}, {20, 22}}, {{1, 2}, {1, 3}, {1, 4}, {2, 5}, 
  {2, 8}, {3, 5}, {3, 6}, {4, 7}, {4, 9}, {5, 8}, {6, 7}, {6, 8}, {7, 11}, 
  {9, 10}, {9, 12}, {10, 14}, {10, 15}, {11, 12}, {11, 13}, {12, 13}, 
  {13, 16}, {14, 17}, {14, 18}, {15, 17}, {15, 19}, {16, 17}, {16, 20}, 
  {18, 21}, {19, 20}, {19, 21}, {20, 22}, {21, 22}}, 
 {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 5}, {3, 5}, {4, 6}, {4, 7}, {5, 9}, 
  {6, 7}, {6, 9}, {7, 8}, {8, 11}, {8, 12}, {9, 10}, {10, 13}, {10, 14}, 
  {11, 12}, {11, 16}, {12, 15}, {13, 14}, {13, 18}, {14, 18}, {15, 19}, 
  {15, 20}, {16, 17}, {16, 19}, {17, 18}, {17, 21}, {20, 21}, {20, 22}, 
  {21, 22}}, {{1, 2}, {1, 3}, {1, 4}, {2, 6}, {2, 7}, {3, 8}, {3, 9}, {4, 5}, 
  {4, 10}, {5, 14}, {5, 15}, {6, 9}, {6, 12}, {7, 9}, {7, 12}, {8, 11}, 
  {8, 12}, {10, 11}, {10, 13}, {11, 13}, {13, 16}, {14, 16}, {14, 18}, 
  {15, 17}, {15, 19}, {16, 20}, {17, 20}, {17, 22}, {18, 20}, {18, 21}, 
  {19, 21}, {21, 22}}}