Count Equal and Divisible Pairs in Array

Easy

Description

Given a 0-indexed integer array nums and an integer k, return the number of pairs (i, j) where 0 <= i < j < n, nums[i] == nums[j], and (i * j) is divisible by k.

Examples

Input:nums = [3,1,2,2,2,1,3], k = 2
Output:4
Explanation:

4 valid pairs.

Input:nums = [1,2,3,4], k = 1
Output:0
Explanation:

All elements are distinct, so no pair (i, j) has nums[i] == nums[j]. The count is 0.

Input:nums = [5,5,5], k = 3
Output:2
Explanation:

All elements are 5, so all pairs have equal values. Pairs: (0,1) with 0*1%3=0, (0,2) with 0*2%3=0, (1,2) with 1*2%3=2. Only pairs (0,1) and (0,2) satisfy the divisibility condition. Count: 2.

Constraints

  • 1 ≤ nums.length ≤ 100

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