// output of ./demo/comb/catalan-rgs-to-noncrossing-setpart-rgs-demo.cc: // Description: //% Compute RGS for noncrossing set partitions from Catalan RGS. //% Lexicographic order. arg 1: 5 == n [Number of elements in set] default=5 1: [ . . . . . ] [ . . . . . ] {1, 2, 3, 4, 5} 2: [ . . . . 1 ] [ . . . . 1 ] {1, 2, 3, 4}, {5} 3: [ . . . 1 . ] [ . . . 1 . ] {1, 2, 3, 5}, {4} 4: [ . . . 1 1 ] [ . . . 1 1 ] {1, 2, 3}, {4, 5} 5: [ . . . 1 2 ] [ . . . 1 2 ] {1, 2, 3}, {4}, {5} 6: [ . . 1 . . ] [ . . 1 . . ] {1, 2, 4, 5}, {3} 7: [ . . 1 . 1 ] [ . . 1 . 2 ] {1, 2, 4}, {3}, {5} 8: [ . . 1 1 . ] [ . . 1 1 . ] {1, 2, 5}, {3, 4} 9: [ . . 1 1 1 ] [ . . 1 1 1 ] {1, 2}, {3, 4, 5} 10: [ . . 1 1 2 ] [ . . 1 1 2 ] {1, 2}, {3, 4}, {5} 11: [ . . 1 2 . ] [ . . 1 2 . ] {1, 2, 5}, {3}, {4} 12: [ . . 1 2 1 ] [ . . 1 2 1 ] {1, 2}, {3, 5}, {4} 13: [ . . 1 2 2 ] [ . . 1 2 2 ] {1, 2}, {3}, {4, 5} 14: [ . . 1 2 3 ] [ . . 1 2 3 ] {1, 2}, {3}, {4}, {5} 15: [ . 1 . . . ] [ . 1 . . . ] {1, 3, 4, 5}, {2} 16: [ . 1 . . 1 ] [ . 1 . . 2 ] {1, 3, 4}, {2}, {5} 17: [ . 1 . 1 . ] [ . 1 . 2 . ] {1, 3, 5}, {2}, {4} 18: [ . 1 . 1 1 ] [ . 1 . 2 2 ] {1, 3}, {2}, {4, 5} 19: [ . 1 . 1 2 ] [ . 1 . 2 3 ] {1, 3}, {2}, {4}, {5} 20: [ . 1 1 . . ] [ . 1 1 . . ] {1, 4, 5}, {2, 3} 21: [ . 1 1 . 1 ] [ . 1 1 . 2 ] {1, 4}, {2, 3}, {5} 22: [ . 1 1 1 . ] [ . 1 1 1 . ] {1, 5}, {2, 3, 4} 23: [ . 1 1 1 1 ] [ . 1 1 1 1 ] {1}, {2, 3, 4, 5} 24: [ . 1 1 1 2 ] [ . 1 1 1 2 ] {1}, {2, 3, 4}, {5} 25: [ . 1 1 2 . ] [ . 1 1 2 . ] {1, 5}, {2, 3}, {4} 26: [ . 1 1 2 1 ] [ . 1 1 2 1 ] {1}, {2, 3, 5}, {4} 27: [ . 1 1 2 2 ] [ . 1 1 2 2 ] {1}, {2, 3}, {4, 5} 28: [ . 1 1 2 3 ] [ . 1 1 2 3 ] {1}, {2, 3}, {4}, {5} 29: [ . 1 2 . . ] [ . 1 2 . . ] {1, 4, 5}, {2}, {3} 30: [ . 1 2 . 1 ] [ . 1 2 . 3 ] {1, 4}, {2}, {3}, {5} 31: [ . 1 2 1 . ] [ . 1 2 1 . ] {1, 5}, {2, 4}, {3} 32: [ . 1 2 1 1 ] [ . 1 2 1 1 ] {1}, {2, 4, 5}, {3} 33: [ . 1 2 1 2 ] [ . 1 2 1 3 ] {1}, {2, 4}, {3}, {5} 34: [ . 1 2 2 . ] [ . 1 2 2 . ] {1, 5}, {2}, {3, 4} 35: [ . 1 2 2 1 ] [ . 1 2 2 1 ] {1}, {2, 5}, {3, 4} 36: [ . 1 2 2 2 ] [ . 1 2 2 2 ] {1}, {2}, {3, 4, 5} 37: [ . 1 2 2 3 ] [ . 1 2 2 3 ] {1}, {2}, {3, 4}, {5} 38: [ . 1 2 3 . ] [ . 1 2 3 . ] {1, 5}, {2}, {3}, {4} 39: [ . 1 2 3 1 ] [ . 1 2 3 1 ] {1}, {2, 5}, {3}, {4} 40: [ . 1 2 3 2 ] [ . 1 2 3 2 ] {1}, {2}, {3, 5}, {4} 41: [ . 1 2 3 3 ] [ . 1 2 3 3 ] {1}, {2}, {3}, {4, 5} 42: [ . 1 2 3 4 ] [ . 1 2 3 4 ] {1}, {2}, {3}, {4}, {5} ct=42