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Time Limit: 2 s Memory Limit: 512 MB Total points: 100

#691. 一个根

Statistics

对于给定的 $n$ 以及满足 $|p| \le m$ 和 $|q| \le m$ 的整数 $p$ 和 $q$,有多少个形如 $$x^n + px + q = 0$$ 的方程恰好有一个实根?

输入格式

输入仅一行,包含两个整数 $n$ 和 $m$ ($1 \le n, m \le 10^6, n \ge 2$)。

输出格式

输出一个整数:恰好有一个实根的方程的数量。

样例

样例输入 1

2 4

样例输出 1

5

样例输入 2

3 5

样例输出 2

96

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