#include<stdio.h>
#include<string.h>

int c,sq[18];

int count(int n,int i){
	if(n==0)return 0;
	int j;
	for(j=i;j>=1;j--){
		if(n<sq[j])continue;
		if(n==sq[j]){
			++c;
			continue;
		}
		count(n-sq[j],j);
	}
	return 0;
}

int main(){

	int i,j,n;
	
	for(i=0;i<=17;i++){
		sq[i]=i*i;
	}
	
	while(0<=scanf("%d",&n)){
		if(n==0)break;
		c=0;
		
		for(i=1;i<=17;i++){
			if(n<sq[i]){
				--i;
				break;
			}
		}
		count(n,i);
		printf("%d\n",c);
	}
	return 0;
}
### Prompt

Please formulate a cpp solution to the following problem:

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:

* 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.

Example

Input

2
10
30
0


Output

1
4
27

### Response

```cpp
#include<stdio.h>
#include<string.h>

int c,sq[18];

int count(int n,int i){
	if(n==0)return 0;
	int j;
	for(j=i;j>=1;j--){
		if(n<sq[j])continue;
		if(n==sq[j]){
			++c;
			continue;
		}
		count(n-sq[j],j);
	}
	return 0;
}

int main(){

	int i,j,n;
	
	for(i=0;i<=17;i++){
		sq[i]=i*i;
	}
	
	while(0<=scanf("%d",&n)){
		if(n==0)break;
		c=0;
		
		for(i=1;i<=17;i++){
			if(n<sq[i]){
				--i;
				break;
			}
		}
		count(n,i);
		printf("%d\n",c);
	}
	return 0;
}
```