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Contest: Task: Related: TaskA TaskC

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.

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