2016. Maximum Difference Between Increasing Elements LeetCode Solution

In this guide, you will get 2016. Maximum Difference Between Increasing Elements LeetCode Solution with the best time and space complexity. The solution to Maximum Difference Between Increasing Elements problem is provided in various programming languages like C++, Java, and Python. This will be helpful for you if you are preparing for placements, hackathons, interviews, or practice purposes. The solutions provided here are very easy to follow and include detailed explanations.

Table of Contents

  1. Problem Statement
  2. Complexity Analysis
  3. Maximum Difference Between Increasing Elements solution in C++
  4. Maximum Difference Between Increasing Elements solution in Java
  5. Maximum Difference Between Increasing Elements solution in Python
  6. Additional Resources
2016. Maximum Difference Between Increasing Elements LeetCode Solution image

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

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] <= 109

Complexity Analysis

  • Time Complexity: O(n)
  • Space Complexity: O(1)

2016. Maximum Difference Between Increasing Elements LeetCode Solution in C++

class Solution {
 public:
  int maximumDifference(vector<int>& nums) {
    int ans = -1;
    int mn = nums[0];

    for (int i = 1; i < nums.size(); ++i) {
      if (nums[i] > mn)
        ans = max(ans, nums[i] - mn);
      mn = min(mn, nums[i]);
    }

    return ans;
  }
};
/* code provided by PROGIEZ */

2016. Maximum Difference Between Increasing Elements LeetCode Solution in Java

class Solution {
  public int maximumDifference(int[] nums) {
    int ans = -1;
    int mn = nums[0];

    for (int i = 1; i < nums.length; ++i) {
      if (nums[i] > mn)
        ans = Math.max(ans, nums[i] - mn);
      mn = Math.min(mn, nums[i]);
    }

    return ans;
  }
}
// code provided by PROGIEZ

2016. Maximum Difference Between Increasing Elements LeetCode Solution in Python

class Solution:
  def maximumDifference(self, nums: list[int]) -> int:
    ans = -1
    mn = nums[0]

    for i in range(len(nums)):
      if nums[i] > mn:
        ans = max(ans, nums[i] - mn)
      mn = min(mn, nums[i])

    return ans
# code by PROGIEZ

Additional Resources

See also  2187. Minimum Time to Complete Trips LeetCode Solution

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