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Binary Gap

Easy

You receive a positive integer n, find and provide the longest distance between any two adjacent 1 's in the binary representation of n.

If there are no two adjacent 1 's, provide 0.

Two 1 's are adjacent if there are only 0 's separating them (possibly no 0 's).

The distance between two 1 's is the absolute difference between their bit positions.

For example, the two 1 's in "1001" have a distance of 3.

Example 1

Input: n = 22

Output: 2

Explanation: 22 in binary is "10110".

The first adjacent pair of 1's is "10110" with a distance of 2.

The second adjacent pair of 1's is "10110" with a distance of 1.

The answer is the largest of these two distances, which is 2.

Note that "10110" is not a valid pair since there is a 1 separating the two 1's highlighted.

Example 2

Input: n = 8

Output: 0

Explanation: 8 in binary is "1000".

There are not any adjacent pairs of 1's in the binary representation of 8, so we provide 0.

Example 3

Input: n = 5

Output: 2

Explanation: 5 in binary is "101".

Constraints

  • 1 <= n <= 10^9

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