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