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Problems

Equation

Equation

Time limit 1 second
Memory limit 128 MiB

The positive integer n is given. How many solutions in positive integers has the equation

{1 \over n} = {1 \over x} + {1 \over y}

Input data

One integer n~(1 \le n \le 10^9).

Output data

The number of solutions in positive integers for the given equation.

Examples

Input example #1
2
Output example #1
3