#CCBCHBA0000112. Multiplication Table

Multiplication Table

Multiplication Table

Source: Codeforces

Version: Phuoc Hung OJ Extended

Problem Statement

Given an nn-by-nn multiplication table with cell (i,j)=i×j(i,j)=i\times j for 1-based indices, count all cells whose value equals xx. Distinct positions count separately.

Input

One line contains integers n,xn,x.

Output

Print the number of cells equal to xx.

Subtasks

  • Subtask 1 (20%): 1≤n≤1001\le n\le 100; 1≤x≤1091\le x\le 10^9.

  • Subtask 2 (30%): 1≤n≤10001\le n\le 1000; 1≤x≤1091\le x\le 10^9.

  • Subtask 3 (50%): 1≤n≤1000001\le n\le 100000; 1≤x≤1091\le x\le 10^9.

Examples

Example 1

Input:

10 5

Output:

2

Explanation:

Cells with product 5: (1, 5), (5, 1); total 2.

Example 2

Input:

6 12

Output:

4

Explanation:

Cells with product 12: (2, 6), (3, 4), (4, 3), (6, 2); total 4.