102141: [AtCoder]ABC214 B - How many?

Problem Statement

How many triples of non-negative integers $(a, b, c)$ satisfy $a+b+c \leq S$ and $a \times b \times c \leq T$?

Constraints

• $0 \leq S \leq 100$
• $0 \leq T \leq 10000$
• $S$ and $T$ are integers.

Input

Input is given from Standard Input in the following format:

$S$ $T$

Output

Print the number of triples of non-negative integers $(a,b,c)$ satisfying the conditions.

Sample Input 1

1 0

Sample Output 1

4

The triples $(a,b,c)$ satisfying the conditions are $(0,0,0)$, $(0,0,1)$, $(0,1,0)$, and $(1,0,0)$ ― there are four of them.

Sample Input 2

2 5

Sample Output 2

10

Sample Input 3

10 10

Sample Output 3

213

Sample Input 4

30 100

Sample Output 4

2471

问题描述

有多少个非负整数的三元组 $(a, b, c)$ 满足 $a+b+c \leq S$ 和 $a \times b \times c \leq T$？

限制条件

• $0 \leq S \leq 100$
• $0 \leq T \leq 10000$
• $S$ 和 $T$ 是整数。

输入

输入从标准输入以以下格式给出：

$S$ $T$

输出

输出满足条件的非负整数三元组 $(a,b,c)$ 的数量。

样例输入1

1 0

样例输出1

4

满足条件的三元组 $(a,b,c)$ 有 $(0,0,0)$, $(0,0,1)$, $(0,1,0)$ 和 $(1,0,0)$，共有四个。

样例输入2

2 5

样例输出2

10

样例输入3

10 10

样例输出3

213

样例输入4

30 100

样例输出4

2471