Algorithms and Data Structures

Count Trailing Zeros in Binary

You are given an integer (in base-10). Write a program to find the number of trailing zeros when is converted to its binary representation. Trailing zeros are the zeros at the end of the binary number.
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For example, the number 456 has a binary representation of 111001000, which has three trailing zeros at the end.

Input

The first line contains a single integer .

Output

A single integer: the number of trailing zeros in the binary representation of .

Examples

Input
Output
12
2
456
3

Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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