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Longest Subarray Divisble By K :

Author

Akshay Sharma

Difficulty Level : Medium

Submissions : 1051

Asked In : Flipkart

Marks :100

: 19 | : 2

Given an array of N, integers Find the longest subarray which is divisible by K.

Input

The first line of the integer contains two integers N, K the number of elements in the array and K ($$$1 \le N, K \le 10^5$$$)

Next line contains N spaces integers the value of the array integers value may include negative value too.

Output

For each test case print the length of the longest subarray.

Example

Input
6 3
7 8 3 -3 4 2
Output
6

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Result : Executed

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Result : Accepted

Test Cases :

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