// output of ./demo/comb/schroeder-path-lex-demo.cc: // Description: //% Schroeder paths in lexicographic order, CAT algorithm. //% Cf. OEIS sequence A006318: large Schroeder numbers. arg 1: 4 == n [Length of paths is 2*n (n>=1)] default=4 1: [ . . . . . . . . . ] 0 0 0 0 0 0 0 0 0 2: [ . . . . . . . 1 . ] 7 0 0 0 0 0 0 + - 3: [ . . . . . 1 . . . ] 5 0 0 0 0 + - 0 0 4: [ . . . . . 1 . 1 . ] 7 0 0 0 0 + - + - 5: [ . . . . . 1 1 1 . ] 6 0 0 0 0 + 0 0 - 6: [ . . . . . 1 2 1 . ] 6 0 0 0 0 + + - - 7: [ . . . 1 . . . . . ] 3 0 0 + - 0 0 0 0 8: [ . . . 1 . . . 1 . ] 7 0 0 + - 0 0 + - 9: [ . . . 1 . 1 . . . ] 5 0 0 + - + - 0 0 10: [ . . . 1 . 1 . 1 . ] 7 0 0 + - + - + - 11: [ . . . 1 . 1 1 1 . ] 6 0 0 + - + 0 0 - 12: [ . . . 1 . 1 2 1 . ] 6 0 0 + - + + - - 13: [ . . . 1 1 1 . . . ] 4 0 0 + 0 0 - 0 0 14: [ . . . 1 1 1 . 1 . ] 7 0 0 + 0 0 - + - 15: [ . . . 1 1 1 1 1 . ] 6 0 0 + 0 0 0 0 - 16: [ . . . 1 1 1 2 1 . ] 6 0 0 + 0 0 + - - 17: [ . . . 1 2 1 . . . ] 4 0 0 + + - - 0 0 18: [ . . . 1 2 1 . 1 . ] 7 0 0 + + - - + - 19: [ . . . 1 2 1 1 1 . ] 6 0 0 + + - 0 0 - 20: [ . . . 1 2 1 2 1 . ] 6 0 0 + + - + - - 21: [ . . . 1 2 2 2 1 . ] 5 0 0 + + 0 0 - - 22: [ . . . 1 2 3 2 1 . ] 5 0 0 + + + - - - 23: [ . 1 . . . . . . . ] 1 + - 0 0 0 0 0 0 24: [ . 1 . . . . . 1 . ] 7 + - 0 0 0 0 + - 25: [ . 1 . . . 1 . . . ] 5 + - 0 0 + - 0 0 26: [ . 1 . . . 1 . 1 . ] 7 + - 0 0 + - + - 27: [ . 1 . . . 1 1 1 . ] 6 + - 0 0 + 0 0 - 28: [ . 1 . . . 1 2 1 . ] 6 + - 0 0 + + - - 29: [ . 1 . 1 . . . . . ] 3 + - + - 0 0 0 0 30: [ . 1 . 1 . . . 1 . ] 7 + - + - 0 0 + - 31: [ . 1 . 1 . 1 . . . ] 5 + - + - + - 0 0 32: [ . 1 . 1 . 1 . 1 . ] 7 + - + - + - + - 33: [ . 1 . 1 . 1 1 1 . ] 6 + - + - + 0 0 - 34: [ . 1 . 1 . 1 2 1 . ] 6 + - + - + + - - 35: [ . 1 . 1 1 1 . . . ] 4 + - + 0 0 - 0 0 36: [ . 1 . 1 1 1 . 1 . ] 7 + - + 0 0 - + - 37: [ . 1 . 1 1 1 1 1 . ] 6 + - + 0 0 0 0 - 38: [ . 1 . 1 1 1 2 1 . ] 6 + - + 0 0 + - - 39: [ . 1 . 1 2 1 . . . ] 4 + - + + - - 0 0 40: [ . 1 . 1 2 1 . 1 . ] 7 + - + + - - + - 41: [ . 1 . 1 2 1 1 1 . ] 6 + - + + - 0 0 - 42: [ . 1 . 1 2 1 2 1 . ] 6 + - + + - + - - 43: [ . 1 . 1 2 2 2 1 . ] 5 + - + + 0 0 - - 44: [ . 1 . 1 2 3 2 1 . ] 5 + - + + + - - - 45: [ . 1 1 1 . . . . . ] 2 + 0 0 - 0 0 0 0 46: [ . 1 1 1 . . . 1 . ] 7 + 0 0 - 0 0 + - 47: [ . 1 1 1 . 1 . . . ] 5 + 0 0 - + - 0 0 48: [ . 1 1 1 . 1 . 1 . ] 7 + 0 0 - + - + - 49: [ . 1 1 1 . 1 1 1 . ] 6 + 0 0 - + 0 0 - 50: [ . 1 1 1 . 1 2 1 . ] 6 + 0 0 - + + - - 51: [ . 1 1 1 1 1 . . . ] 4 + 0 0 0 0 - 0 0 52: [ . 1 1 1 1 1 . 1 . ] 7 + 0 0 0 0 - + - 53: [ . 1 1 1 1 1 1 1 . ] 6 + 0 0 0 0 0 0 - 54: [ . 1 1 1 1 1 2 1 . ] 6 + 0 0 0 0 + - - 55: [ . 1 1 1 2 1 . . . ] 4 + 0 0 + - - 0 0 56: [ . 1 1 1 2 1 . 1 . ] 7 + 0 0 + - - + - 57: [ . 1 1 1 2 1 1 1 . ] 6 + 0 0 + - 0 0 - 58: [ . 1 1 1 2 1 2 1 . ] 6 + 0 0 + - + - - 59: [ . 1 1 1 2 2 2 1 . ] 5 + 0 0 + 0 0 - - 60: [ . 1 1 1 2 3 2 1 . ] 5 + 0 0 + + - - - 61: [ . 1 2 1 . . . . . ] 2 + + - - 0 0 0 0 62: [ . 1 2 1 . . . 1 . ] 7 + + - - 0 0 + - 63: [ . 1 2 1 . 1 . . . ] 5 + + - - + - 0 0 64: [ . 1 2 1 . 1 . 1 . ] 7 + + - - + - + - 65: [ . 1 2 1 . 1 1 1 . ] 6 + + - - + 0 0 - 66: [ . 1 2 1 . 1 2 1 . ] 6 + + - - + + - - 67: [ . 1 2 1 1 1 . . . ] 4 + + - 0 0 - 0 0 68: [ . 1 2 1 1 1 . 1 . ] 7 + + - 0 0 - + - 69: [ . 1 2 1 1 1 1 1 . ] 6 + + - 0 0 0 0 - 70: [ . 1 2 1 1 1 2 1 . ] 6 + + - 0 0 + - - 71: [ . 1 2 1 2 1 . . . ] 4 + + - + - - 0 0 72: [ . 1 2 1 2 1 . 1 . ] 7 + + - + - - + - 73: [ . 1 2 1 2 1 1 1 . ] 6 + + - + - 0 0 - 74: [ . 1 2 1 2 1 2 1 . ] 6 + + - + - + - - 75: [ . 1 2 1 2 2 2 1 . ] 5 + + - + 0 0 - - 76: [ . 1 2 1 2 3 2 1 . ] 5 + + - + + - - - 77: [ . 1 2 2 2 1 . . . ] 3 + + 0 0 - - 0 0 78: [ . 1 2 2 2 1 . 1 . ] 7 + + 0 0 - - + - 79: [ . 1 2 2 2 1 1 1 . ] 6 + + 0 0 - 0 0 - 80: [ . 1 2 2 2 1 2 1 . ] 6 + + 0 0 - + - - 81: [ . 1 2 2 2 2 2 1 . ] 5 + + 0 0 0 0 - - 82: [ . 1 2 2 2 3 2 1 . ] 5 + + 0 0 + - - - 83: [ . 1 2 3 2 1 . . . ] 3 + + + - - - 0 0 84: [ . 1 2 3 2 1 . 1 . ] 7 + + + - - - + - 85: [ . 1 2 3 2 1 1 1 . ] 6 + + + - - 0 0 - 86: [ . 1 2 3 2 1 2 1 . ] 6 + + + - - + - - 87: [ . 1 2 3 2 2 2 1 . ] 5 + + + - 0 0 - - 88: [ . 1 2 3 2 3 2 1 . ] 5 + + + - + - - - 89: [ . 1 2 3 3 3 2 1 . ] 4 + + + 0 0 - - - 90: [ . 1 2 3 4 3 2 1 . ] 4 + + + + - - - - ct=90