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| 1 | +<h2><a href="https://leetcode.com/problems/minimum-difference-between-largest-and-smallest-value-in-three-moves">1509. Minimum Difference Between Largest and Smallest Value in Three Moves</a></h2><h3>Medium</h3><hr><p>You are given an integer array <code>nums</code>.</p> |
| 2 | + |
| 3 | +<p>In one move, you can choose one element of <code>nums</code> and change it to <strong>any value</strong>.</p> |
| 4 | + |
| 5 | +<p>Return <em>the minimum difference between the largest and smallest value of <code>nums</code> <strong>after performing at most three moves</strong></em>.</p> |
| 6 | + |
| 7 | +<p> </p> |
| 8 | +<p><strong class="example">Example 1:</strong></p> |
| 9 | + |
| 10 | +<pre> |
| 11 | +<strong>Input:</strong> nums = [5,3,2,4] |
| 12 | +<strong>Output:</strong> 0 |
| 13 | +<strong>Explanation:</strong> We can make at most 3 moves. |
| 14 | +In the first move, change 2 to 3. nums becomes [5,3,3,4]. |
| 15 | +In the second move, change 4 to 3. nums becomes [5,3,3,3]. |
| 16 | +In the third move, change 5 to 3. nums becomes [3,3,3,3]. |
| 17 | +After performing 3 moves, the difference between the minimum and maximum is 3 - 3 = 0. |
| 18 | +</pre> |
| 19 | + |
| 20 | +<p><strong class="example">Example 2:</strong></p> |
| 21 | + |
| 22 | +<pre> |
| 23 | +<strong>Input:</strong> nums = [1,5,0,10,14] |
| 24 | +<strong>Output:</strong> 1 |
| 25 | +<strong>Explanation:</strong> We can make at most 3 moves. |
| 26 | +In the first move, change 5 to 0. nums becomes [1,0,0,10,14]. |
| 27 | +In the second move, change 10 to 0. nums becomes [1,0,0,0,14]. |
| 28 | +In the third move, change 14 to 1. nums becomes [1,0,0,0,1]. |
| 29 | +After performing 3 moves, the difference between the minimum and maximum is 1 - 0 = 1. |
| 30 | +It can be shown that there is no way to make the difference 0 in 3 moves.</pre> |
| 31 | + |
| 32 | +<p><strong class="example">Example 3:</strong></p> |
| 33 | + |
| 34 | +<pre> |
| 35 | +<strong>Input:</strong> nums = [3,100,20] |
| 36 | +<strong>Output:</strong> 0 |
| 37 | +<strong>Explanation:</strong> We can make at most 3 moves. |
| 38 | +In the first move, change 100 to 7. nums becomes [3,7,20]. |
| 39 | +In the second move, change 20 to 7. nums becomes [3,7,7]. |
| 40 | +In the third move, change 3 to 7. nums becomes [7,7,7]. |
| 41 | +After performing 3 moves, the difference between the minimum and maximum is 7 - 7 = 0. |
| 42 | +</pre> |
| 43 | + |
| 44 | +<p> </p> |
| 45 | +<p><strong>Constraints:</strong></p> |
| 46 | + |
| 47 | +<ul> |
| 48 | + <li><code>1 <= nums.length <= 10<sup>5</sup></code></li> |
| 49 | + <li><code>-10<sup>9</sup> <= nums[i] <= 10<sup>9</sup></code></li> |
| 50 | +</ul> |
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