You are given two integers K and S.
Three variable X, Y and Z takes integer values satisfying 0≤X,Y,Z≤K.
How many different assignments of values to X, Y and Z are there such that X + Y + Z = S?

Constraints

* 2≤K≤2500
* 0≤S≤3K
* K and S are integers.

Input

The input is given from Standard Input in the following format:


K S


Output

Print the number of the triples of X, Y and Z that satisfy the condition.

Examples

Input

2 2


Output

6


Input

5 15


Output

1
#include <iostream>
using namespace std;

int main() {
	int a,b,i,j,k,ans=0;
	cin >> a >> b;
	
	for(i=0;i<=a;i++){
		for(j=0;j<=a;j++){
			if(b-i-j>=0 && b-i-j<=a) ans++;
			}
		}
	cout << ans << endl;
	
	return 0;
}