Square Coins
Time Limit: 2 Seconds
Memory Limit: 65536 KB
People in Silverland use square coins. Not only they have square shapes but also
their values are square numbers. Coins with values of all square numbers up to
289 (=17^2), i.e., 1-credit coins, 4-credit coins, 9-credit coins, ..., and 289-credit
coins, are available in Silverland.
There are four combinations of coins to pay ten credits:
ten 1-credit coins,
one 4-credit coin and six 1-credit coins,
two 4-credit coins and two 1-credit coins, and
one 9-credit coin and one 1-credit coin.
Your mission is to count the number of ways to pay a given amount using coins
of Silverland.
Input
The input consists of lines each containing an integer meaning an amount to
be paid, followed by a line containing a zero. You may assume that all the amounts
are positive and less than 300.
Output
For each of the given amount, one line containing a single integer representing
the number of combinations of coins should be output. No other characters should
appear in the output.
Sample Input
2
10
30
0
Sample Output
1
4
27
Source:
Asia 1999, Kyoto (Japan)
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