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Description

给你两个整数 $k$ 和 $S$,

请问 有多少个三元组 $X, Y, Z$ 满足 $0 \leq X, Y, Z \leq k$ 且 $X + Y + Z = S$

Format

Input

第一行输入两个整数 $k$ 和 $S$

Output

输出一个整数表示答案

Samples

样例输入 1

2 2

样例输出 1

6

样例解释 1

6个三元组分别为：

X = 0, Y = 0, Z = 2

X = 0, Y = 2, Z = 0

X = 2, Y = 0, Z = 0

X = 0, Y = 1, Z = 1

X = 1, Y = 0, Z = 1

X = 1, Y = 1, Z = 0

样例输入 2

5 15

样例输出 2

1

Limitation

$80\%$ 的数据满足 $0 \leq k \leq 2500, 0 \leq S \leq 3 \times k$

$100\%$ 的数据满足 $0 \leq k \leq 10^6, 0 \leq S \leq 3 \times k$