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Maximum Distance Between a Pair of Values

Medium

You receive two non-increasing 0-indexed integer arrays nums1 and nums2.

A pair of indices (i, j), where 0 <= i < nums1.length and 0 <= j < nums2.length, is valid if both i <= j and nums1[i] <= nums2[j]. The distance of the pair is j - i.

Find and provide the largest distance of any valid pair (i, j). If there are no valid pairs, provide 0.

An array arr is non-increasing if arr[i-1] >= arr[i] for every 1 <= i < arr.length.

Example 1

Input: nums1 = [55,30,5,4,2], nums2 = [100,20,10,10,5]

Output: 2

Explanation: The valid pairs are (0,0), (2,2), (2,3), (2,4), (3,3), (3,4), and (4,4).

The largest distance is 2 with pair (2,4).

Example 2

Input: nums1 = [2,2,2], nums2 = [10,10,1]

Output: 1

Explanation: The valid pairs are (0,0), (0,1), and (1,1).

The largest distance is 1 with pair (0,1).

Example 3

Input: nums1 = [30,29,19,5], nums2 = [25,25,25,25,25]

Output: 2

Explanation: The valid pairs are (2,2), (2,3), (2,4), (3,3), and (3,4).

The largest distance is 2 with pair (2,4).

Constraints

  • 1 <= nums1.length, nums2.length <= 10^5
  • 1 <= nums1[i], nums2[j] <= 10^5
  • Both nums1 and nums2 are non-increasing.

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