Time Limit: Java: 2000 ms / Others: 2000 ms

Memory Limit: Java: 65536 KB / Others: 65536 KB

"Let it Bead" company is located upstairs at 700 Cannery Row in Monterey,
CA. As you can deduce from the company name, their business is beads. Their PR
department found out that customers are interested in buying colored bracelets.
However, over 90 percent of the target audience insists that the bracelets be
unique. (Just imagine what happened if two women showed up at the same party wearing
identical bracelets!) It's a good thing that bracelets can have different lengths
and need not be made of beads of one color. Help the boss estimating maximum profit
by calculating how many different bracelets can be produced.

A bracelet is a ring-like sequence of s beads each of which can have one of c distinct colors. The ring is closed, i.e. has no beginning or end, and has no direction. Assume an unlimited supply of beads of each color. For different values of s and c, calculate the number of different bracelets that can be made.

Every line of the input defines a test case and contains two integers: the number of available colors c followed by the length of the bracelets s. Input is terminated by c = s = 0. Otherwise, both are positive, and, due to technical difficulties in the bracelet-fabrication-machine, cs <= 32, i.e. their product does not exceed 32.

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