$ time perl  multisets.pl
count = 1
0,
2,
3,
count = 2
0, 0,
0, 2,
0, 3,
2, 0,
2, 2,
2, 3,
3, 0,
3, 2,
3, 3,
count = 3
0, 0, 0,
0, 0, 2,
0, 0, 3,
0, 2, 0,
0, 2, 2,
0, 2, 3,
0, 3, 0,
0, 3, 2,
0, 3, 3,
2, 0, 0,
2, 0, 2,
2, 0, 3,
2, 2, 0,
2, 2, 2,
2, 2, 3,
2, 3, 0,
2, 3, 2,
2, 3, 3,
3, 0, 0,
3, 0, 2,
3, 0, 3,
3, 2, 0,
3, 2, 2,
3, 2, 3,
3, 3, 0,
3, 3, 2,
3, 3, 3,
count = 4
0, 0, 0, 0,
0, 0, 0, 2,
0, 0, 0, 3,
0, 0, 2, 0,
0, 0, 2, 2,
0, 0, 2, 3,
0, 0, 3, 0,
0, 0, 3, 2,
0, 0, 3, 3,
0, 2, 0, 0,
0, 2, 0, 2,
0, 2, 0, 3,
0, 2, 2, 0,
0, 2, 2, 2,
0, 2, 2, 3,
0, 2, 3, 0,
0, 2, 3, 2,
0, 2, 3, 3,
0, 3, 0, 0,
0, 3, 0, 2,
0, 3, 0, 3,
0, 3, 2, 0,
0, 3, 2, 2,
0, 3, 2, 3,
0, 3, 3, 0,
0, 3, 3, 2,
0, 3, 3, 3,
2, 0, 0, 0,
2, 0, 0, 2,
2, 0, 0, 3,
2, 0, 2, 0,
2, 0, 2, 2,
2, 0, 2, 3,
2, 0, 3, 0,
2, 0, 3, 2,
2, 0, 3, 3,
2, 2, 0, 0,
2, 2, 0, 2,
2, 2, 0, 3,
2, 2, 2, 0,
2, 2, 2, 2,
2, 2, 2, 3,
2, 2, 3, 0,
2, 2, 3, 2,
2, 2, 3, 3,
2, 3, 0, 0,
2, 3, 0, 2,
2, 3, 0, 3,
2, 3, 2, 0,
2, 3, 2, 2,
2, 3, 2, 3,
2, 3, 3, 0,
2, 3, 3, 2,
2, 3, 3, 3,
3, 0, 0, 0,
3, 0, 0, 2,
3, 0, 0, 3,
3, 0, 2, 0,
3, 0, 2, 2,
3, 0, 2, 3,
3, 0, 3, 0,
3, 0, 3, 2,
3, 0, 3, 3,
3, 2, 0, 0,
3, 2, 0, 2,
3, 2, 0, 3,
3, 2, 2, 0,
3, 2, 2, 2,
3, 2, 2, 3,
3, 2, 3, 0,
3, 2, 3, 2,
3, 2, 3, 3,
3, 3, 0, 0,
3, 3, 0, 2,
3, 3, 0, 3,
3, 3, 2, 0,
3, 3, 2, 2,
3, 3, 2, 3,
3, 3, 3, 0,
3, 3, 3, 2,
3, 3, 3, 3,
count = 7
0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 2,
0, 0, 0, 0, 0, 0, 3,
0, 0, 0, 0, 0, 2, 0,
0, 0, 0, 0, 0, 2, 2,
0, 0, 0, 0, 0, 2, 3,
0, 0, 0, 0, 0, 3, 0,
0, 0, 0, 0, 0, 3, 2,
0, 0, 0, 0, 0, 3, 3,
. . . (abbreviated)
3, 3, 3, 3, 3, 3, 0, 3,
3, 3, 3, 3, 3, 3, 2, 0,
3, 3, 3, 3, 3, 3, 2, 2,
3, 3, 3, 3, 3, 3, 2, 3,
3, 3, 3, 3, 3, 3, 3, 0,
3, 3, 3, 3, 3, 3, 3, 2,
3, 3, 3, 3, 3, 3, 3, 3,

real    0m0.141s
user    0m0.046s
sys     0m0.031s