// output of ./demo/comb/composition-ex-lex-demo.cc: // Description: //% Compositions of n into exactly k parts in lexicographic order. arg 1: 8 == n [Compositions of n (n>=1)] default=8 arg 2: 4 == k [Into exactly k parts (must have: k<=n) ] default=4 1: [ 1 1 1 5 ] 0 [ . . . 4 ] 2: [ 1 1 2 4 ] 3 [ . . 1 3 ] 3: [ 1 1 3 3 ] 3 [ . . 2 2 ] 4: [ 1 1 4 2 ] 3 [ . . 3 1 ] 5: [ 1 1 5 1 ] 3 [ . . 4 . ] 6: [ 1 2 1 4 ] 2 [ . 1 . 3 ] 7: [ 1 2 2 3 ] 3 [ . 1 1 2 ] 8: [ 1 2 3 2 ] 3 [ . 1 2 1 ] 9: [ 1 2 4 1 ] 3 [ . 1 3 . ] 10: [ 1 3 1 3 ] 2 [ . 2 . 2 ] 11: [ 1 3 2 2 ] 3 [ . 2 1 1 ] 12: [ 1 3 3 1 ] 3 [ . 2 2 . ] 13: [ 1 4 1 2 ] 2 [ . 3 . 1 ] 14: [ 1 4 2 1 ] 3 [ . 3 1 . ] 15: [ 1 5 1 1 ] 2 [ . 4 . . ] 16: [ 2 1 1 4 ] 1 [ 1 . . 3 ] 17: [ 2 1 2 3 ] 3 [ 1 . 1 2 ] 18: [ 2 1 3 2 ] 3 [ 1 . 2 1 ] 19: [ 2 1 4 1 ] 3 [ 1 . 3 . ] 20: [ 2 2 1 3 ] 2 [ 1 1 . 2 ] 21: [ 2 2 2 2 ] 3 [ 1 1 1 1 ] 22: [ 2 2 3 1 ] 3 [ 1 1 2 . ] 23: [ 2 3 1 2 ] 2 [ 1 2 . 1 ] 24: [ 2 3 2 1 ] 3 [ 1 2 1 . ] 25: [ 2 4 1 1 ] 2 [ 1 3 . . ] 26: [ 3 1 1 3 ] 1 [ 2 . . 2 ] 27: [ 3 1 2 2 ] 3 [ 2 . 1 1 ] 28: [ 3 1 3 1 ] 3 [ 2 . 2 . ] 29: [ 3 2 1 2 ] 2 [ 2 1 . 1 ] 30: [ 3 2 2 1 ] 3 [ 2 1 1 . ] 31: [ 3 3 1 1 ] 2 [ 2 2 . . ] 32: [ 4 1 1 2 ] 1 [ 3 . . 1 ] 33: [ 4 1 2 1 ] 3 [ 3 . 1 . ] 34: [ 4 2 1 1 ] 2 [ 3 1 . . ] 35: [ 5 1 1 1 ] 1 [ 4 . . . ] ct=35