"1509. Minimum Difference Between Largest and Smallest Value in Three Moves" is a medium-level problem and the daily challenge for July 3, 2024, on LeetCode. The solution presented in the video is coded in Java, but the approach is explained using a dry-run on a whiteboard. This method makes the video accessible and beneficial for individuals with different programming backgrounds, as it focuses on the underlying logic rather than language-specific details.
Intuition
The key to solving this problem is to minimize the difference between the largest and smallest values in an array by making at most three moves. The primary idea is to either increase the smallest values, decrease the largest values, or a combination of both. Given that we have three moves, we can form four strategies:
1. Converting all three smallest values to larger values.
2. Converting two smallest values and one largest value.
3. Converting one smallest value and two largest values.
4. Converting all three largest values to smaller values.
By evaluating these strategies, we can determine the optimal way to minimize the difference between the largest and smallest values in the array. This involves balancing the values within the array to achieve the smallest possible range after making the allowed moves.
This problem requires a strategic approach to decide which elements to adjust, ensuring the overall range is minimized effectively.
Link to the problem: https://leetcode.com/problems/minimum...
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