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 (= 172), 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:
Your mission is to count the number of ways to pay a given amount using coins of Silverland.
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.
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.
2 10 30 0
1 4 27