#include <iostream>
#include <algorithm>
#include <cassert>
#include <cctype>
#include <complex>
#include <cstdio>
#include <map>
#include <math.h>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>
using namespace std;

#define rep(i,n) for(int i=0;i<n;i++)

int n;

int solve(int n,int m){
	if(!n)return 1;
	if(n<0)return 0;
	int res=0;
	rep(i,m)res+=solve(n-(i+1)*(i+1),i+1);
	return res;
}

int main(){
	while(cin>>n&&n)cout<<solve(n,17)<<endl;
}
### Prompt

Please create a solution in Cpp 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 <iostream>
#include <algorithm>
#include <cassert>
#include <cctype>
#include <complex>
#include <cstdio>
#include <map>
#include <math.h>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>
using namespace std;

#define rep(i,n) for(int i=0;i<n;i++)

int n;

int solve(int n,int m){
	if(!n)return 1;
	if(n<0)return 0;
	int res=0;
	rep(i,m)res+=solve(n-(i+1)*(i+1),i+1);
	return res;
}

int main(){
	while(cin>>n&&n)cout<<solve(n,17)<<endl;
}
```