// output of ./demo/comb/partition-dist-desc-demo.cc: // Description: //% Partitions into distinct parts as decreasing list of parts. //% Lexicographic order. //% Cf. OEIS sequence A000009. arg 1: 19 == n [integer partitions of n] default=19 1: [ 5] [ 6 5 4 3 1 ] 2: [ 5] [ 7 5 4 2 1 ] 3: [ 4] [ 7 5 4 3 ] 4: [ 5] [ 7 6 3 2 1 ] 5: [ 4] [ 7 6 4 2 ] 6: [ 4] [ 7 6 5 1 ] 7: [ 5] [ 8 5 3 2 1 ] 8: [ 4] [ 8 5 4 2 ] 9: [ 4] [ 8 6 3 2 ] 10: [ 4] [ 8 6 4 1 ] 11: [ 3] [ 8 6 5 ] 12: [ 4] [ 8 7 3 1 ] 13: [ 3] [ 8 7 4 ] 14: [ 5] [ 9 4 3 2 1 ] 15: [ 4] [ 9 5 3 2 ] 16: [ 4] [ 9 5 4 1 ] 17: [ 4] [ 9 6 3 1 ] 18: [ 3] [ 9 6 4 ] 19: [ 4] [ 9 7 2 1 ] 20: [ 3] [ 9 7 3 ] 21: [ 3] [ 9 8 2 ] 22: [ 4] [ 10 4 3 2 ] 23: [ 4] [ 10 5 3 1 ] 24: [ 3] [ 10 5 4 ] 25: [ 4] [ 10 6 2 1 ] 26: [ 3] [ 10 6 3 ] 27: [ 3] [ 10 7 2 ] 28: [ 3] [ 10 8 1 ] 29: [ 2] [ 10 9 ] 30: [ 4] [ 11 4 3 1 ] 31: [ 4] [ 11 5 2 1 ] 32: [ 3] [ 11 5 3 ] 33: [ 3] [ 11 6 2 ] 34: [ 3] [ 11 7 1 ] 35: [ 2] [ 11 8 ] 36: [ 4] [ 12 4 2 1 ] 37: [ 3] [ 12 4 3 ] 38: [ 3] [ 12 5 2 ] 39: [ 3] [ 12 6 1 ] 40: [ 2] [ 12 7 ] 41: [ 4] [ 13 3 2 1 ] 42: [ 3] [ 13 4 2 ] 43: [ 3] [ 13 5 1 ] 44: [ 2] [ 13 6 ] 45: [ 3] [ 14 3 2 ] 46: [ 3] [ 14 4 1 ] 47: [ 2] [ 14 5 ] 48: [ 3] [ 15 3 1 ] 49: [ 2] [ 15 4 ] 50: [ 3] [ 16 2 1 ] 51: [ 2] [ 16 3 ] 52: [ 2] [ 17 2 ] 53: [ 2] [ 18 1 ] 54: [ 1] [ 19 ] ct=54