Description

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

HINT

Source

ACM International Collegiate Programming Contest, Asia Regional 1999,