B - How many?

Score : $200$ points

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.

1 0

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.

2 5

10

10 10

213

30 100

2471