// output of ./demo/comb/setpart-rgs-fixed-content-vec-demo.cc: // Description: //% Set partitions whose restricted growth string (RGS) has fixed content-vector. //% For example, the content-vector [3, 2, 3] corresponds to the set partitions //% of set with 8 elements into subsets of sizes 3, 2, 3 (in that order). //% Lexicographic order. args: multiplicities of elements content: 2 3 3 1: [ . . 1 1 1 2 2 2 ] [ 0 1 1 2 2 2 3 3 ] {1, 2}, {3, 4, 5}, {6, 7, 8} 2: [ . . 1 1 2 1 2 2 ] [ 0 1 1 2 2 3 3 3 ] {1, 2}, {3, 4, 6}, {5, 7, 8} 3: [ . . 1 1 2 2 1 2 ] [ 0 1 1 2 2 3 3 3 ] {1, 2}, {3, 4, 7}, {5, 6, 8} 4: [ . . 1 1 2 2 2 1 ] [ 0 1 1 2 2 3 3 3 ] {1, 2}, {3, 4, 8}, {5, 6, 7} 5: [ . . 1 2 1 1 2 2 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 5, 6}, {4, 7, 8} 6: [ . . 1 2 1 2 1 2 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 5, 7}, {4, 6, 8} 7: [ . . 1 2 1 2 2 1 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 5, 8}, {4, 6, 7} 8: [ . . 1 2 2 1 1 2 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 6, 7}, {4, 5, 8} 9: [ . . 1 2 2 1 2 1 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 6, 8}, {4, 5, 7} 10: [ . . 1 2 2 2 1 1 ] [ 0 1 1 2 3 3 3 3 ] {1, 2}, {3, 7, 8}, {4, 5, 6} 11: [ . 1 . 1 1 2 2 2 ] [ 0 1 2 2 2 2 3 3 ] {1, 3}, {2, 4, 5}, {6, 7, 8} 12: [ . 1 . 1 2 1 2 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 3}, {2, 4, 6}, {5, 7, 8} 13: [ . 1 . 1 2 2 1 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 3}, {2, 4, 7}, {5, 6, 8} 14: [ . 1 . 1 2 2 2 1 ] [ 0 1 2 2 2 3 3 3 ] {1, 3}, {2, 4, 8}, {5, 6, 7} 15: [ . 1 . 2 1 1 2 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 5, 6}, {4, 7, 8} 16: [ . 1 . 2 1 2 1 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 5, 7}, {4, 6, 8} 17: [ . 1 . 2 1 2 2 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 5, 8}, {4, 6, 7} 18: [ . 1 . 2 2 1 1 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 6, 7}, {4, 5, 8} 19: [ . 1 . 2 2 1 2 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 6, 8}, {4, 5, 7} 20: [ . 1 . 2 2 2 1 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 3}, {2, 7, 8}, {4, 5, 6} 21: [ . 1 1 . 1 2 2 2 ] [ 0 1 2 2 2 2 3 3 ] {1, 4}, {2, 3, 5}, {6, 7, 8} 22: [ . 1 1 . 2 1 2 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 4}, {2, 3, 6}, {5, 7, 8} 23: [ . 1 1 . 2 2 1 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 4}, {2, 3, 7}, {5, 6, 8} 24: [ . 1 1 . 2 2 2 1 ] [ 0 1 2 2 2 3 3 3 ] {1, 4}, {2, 3, 8}, {5, 6, 7} 25: [ . 1 1 1 . 2 2 2 ] [ 0 1 2 2 2 2 3 3 ] {1, 5}, {2, 3, 4}, {6, 7, 8} 26: [ . 1 1 1 2 . 2 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 6}, {2, 3, 4}, {5, 7, 8} 27: [ . 1 1 1 2 2 . 2 ] [ 0 1 2 2 2 3 3 3 ] {1, 7}, {2, 3, 4}, {5, 6, 8} 28: [ . 1 1 1 2 2 2 . ] [ 0 1 2 2 2 3 3 3 ] {1, 8}, {2, 3, 4}, {5, 6, 7} 29: [ . 1 1 2 . 1 2 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 5}, {2, 3, 6}, {4, 7, 8} 30: [ . 1 1 2 . 2 1 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 5}, {2, 3, 7}, {4, 6, 8} 31: [ . 1 1 2 . 2 2 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 5}, {2, 3, 8}, {4, 6, 7} 32: [ . 1 1 2 1 . 2 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 6}, {2, 3, 5}, {4, 7, 8} 33: [ . 1 1 2 1 2 . 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 7}, {2, 3, 5}, {4, 6, 8} 34: [ . 1 1 2 1 2 2 . ] [ 0 1 2 2 3 3 3 3 ] {1, 8}, {2, 3, 5}, {4, 6, 7} 35: [ . 1 1 2 2 . 1 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 6}, {2, 3, 7}, {4, 5, 8} 36: [ . 1 1 2 2 . 2 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 6}, {2, 3, 8}, {4, 5, 7} 37: [ . 1 1 2 2 1 . 2 ] [ 0 1 2 2 3 3 3 3 ] {1, 7}, {2, 3, 6}, {4, 5, 8} 38: [ . 1 1 2 2 1 2 . ] [ 0 1 2 2 3 3 3 3 ] {1, 8}, {2, 3, 6}, {4, 5, 7} 39: [ . 1 1 2 2 2 . 1 ] [ 0 1 2 2 3 3 3 3 ] {1, 7}, {2, 3, 8}, {4, 5, 6} 40: [ . 1 1 2 2 2 1 . ] [ 0 1 2 2 3 3 3 3 ] {1, 8}, {2, 3, 7}, {4, 5, 6} 41: [ . 1 2 . 1 1 2 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 5, 6}, {3, 7, 8} 42: [ . 1 2 . 1 2 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 5, 7}, {3, 6, 8} 43: [ . 1 2 . 1 2 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 5, 8}, {3, 6, 7} 44: [ . 1 2 . 2 1 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 6, 7}, {3, 5, 8} 45: [ . 1 2 . 2 1 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 6, 8}, {3, 5, 7} 46: [ . 1 2 . 2 2 1 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 4}, {2, 7, 8}, {3, 5, 6} 47: [ . 1 2 1 . 1 2 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 4, 6}, {3, 7, 8} 48: [ . 1 2 1 . 2 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 4, 7}, {3, 6, 8} 49: [ . 1 2 1 . 2 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 4, 8}, {3, 6, 7} 50: [ . 1 2 1 1 . 2 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 4, 5}, {3, 7, 8} 51: [ . 1 2 1 1 2 . 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 4, 5}, {3, 6, 8} 52: [ . 1 2 1 1 2 2 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 4, 5}, {3, 6, 7} 53: [ . 1 2 1 2 . 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 4, 7}, {3, 5, 8} 54: [ . 1 2 1 2 . 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 4, 8}, {3, 5, 7} 55: [ . 1 2 1 2 1 . 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 4, 6}, {3, 5, 8} 56: [ . 1 2 1 2 1 2 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 4, 6}, {3, 5, 7} 57: [ . 1 2 1 2 2 . 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 4, 8}, {3, 5, 6} 58: [ . 1 2 1 2 2 1 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 4, 7}, {3, 5, 6} 59: [ . 1 2 2 . 1 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 6, 7}, {3, 4, 8} 60: [ . 1 2 2 . 1 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 6, 8}, {3, 4, 7} 61: [ . 1 2 2 . 2 1 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 5}, {2, 7, 8}, {3, 4, 6} 62: [ . 1 2 2 1 . 1 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 5, 7}, {3, 4, 8} 63: [ . 1 2 2 1 . 2 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 5, 8}, {3, 4, 7} 64: [ . 1 2 2 1 1 . 2 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 5, 6}, {3, 4, 8} 65: [ . 1 2 2 1 1 2 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 5, 6}, {3, 4, 7} 66: [ . 1 2 2 1 2 . 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 5, 8}, {3, 4, 6} 67: [ . 1 2 2 1 2 1 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 5, 7}, {3, 4, 6} 68: [ . 1 2 2 2 . 1 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 6}, {2, 7, 8}, {3, 4, 5} 69: [ . 1 2 2 2 1 . 1 ] [ 0 1 2 3 3 3 3 3 ] {1, 7}, {2, 6, 8}, {3, 4, 5} 70: [ . 1 2 2 2 1 1 . ] [ 0 1 2 3 3 3 3 3 ] {1, 8}, {2, 6, 7}, {3, 4, 5} ct=70