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Find the Number of Good Pairs I

You are given 2 integer arrays nums1 and nums2 of lengths n and m respectively.

You are given 2 integer arrays nums1 and nums2 of lengths n and m respectively. You are also given a positive integer k.

A pair (i, j) is called good if nums1[i] is divisible by nums2[j] * k (0 <= i <= n - 1, 0 <= j <= m - 1).

Return the total number of good pairs.

Example 1

Input: nums1 = [1,3,4], nums2 = [1,3,4], k = 1

Output: 5

Example 2

Input: nums1 = [1,2,4,12], nums2 = [2,4], k = 3

Output: 2

Explanation: The 2 good pairs are (3, 0) and (3, 1) .

Constraints

  • 1 <= n, m <= 50
  • 1 <= nums1[i], nums2[j] <= 50
  • 1 <= k <= 50

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