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Maximum Difference Between Increasing Elements

Given a 0-indexed integer array nums of size n, find the maximum difference between nums[i] and nums[j] (i.e., nums[j] - nums[i]), such that 0 <= i < j < n and nums[i] < nums[j].

Given a 0-indexed integer array nums of size n, find the maximum difference between nums[i] and nums[j] (i.e., nums[j] - nums[i]), such that 0 <= i < j < n and nums[i] < nums[j].

Return the maximum difference. If no such i and j exists, return -1.

Maximum Difference Between Increasing Elements diagram

Example 1

Input: nums = [7,1,5,4]

Output: 4

Explanation: The maximum difference occurs with i = 1 and j = 2, nums[j] - nums[i] = 5 - 1 = 4. Note that with i = 1 and j = 0, the difference nums[j] - nums[i] = 7 - 1 = 6, but i > j, so it is not valid.

Example 2

Input: nums = [9,4,3,2]

Output: -1

Explanation: There is no i and j such that i < j and nums[i] < nums[j].

Example 3

Input: nums = [1,5,2,10]

Output: 9

Explanation: The maximum difference occurs with i = 0 and j = 3, nums[j] - nums[i] = 10 - 1 = 9.

Constraints

  • n == nums.length
  • 2 <= n <= 1000
  • 1 <= nums[i] <= 10^9

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