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Maximum Width Ramp

A ramp in an integer array nums is a pair (i, j) for which i < j and nums[i] <= nums[j].

A ramp in an integer array nums is a pair (i, j) for which i < j and nums[i] <= nums[j]. The width of such a ramp is j - i.

Given an integer array nums, return the maximum width of a ramp in nums. If there is no ramp in nums, return 0.

Maximum Width Ramp diagram

Example 1

Input: nums = [6,0,8,2,1,5]

Output: 4

Explanation: The maximum width ramp is achieved at (i, j) = (1, 5): nums[1] = 0 and nums[5] = 5.

Example 2

Input: nums = [9,8,1,0,1,9,4,0,4,1]

Output: 7

Explanation: The maximum width ramp is achieved at (i, j) = (2, 9): nums[2] = 1 and nums[9] = 1.

Constraints

  • 2 <= nums.length <= 5 * 10^4
  • 0 <= nums[i] <= 5 * 10^4

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