3 回の移動における最大値と最小値の間の最小差

1509。 3 回の移動における最大値と最小値の最小差

中

整数配列 nums が与えられます。

一度の操作で、nums の要素を 1 つ選択し、それを任意の値に変更できます。

最大 3 つの手を実行した後の nums の最大値と最小値の間の最小差を返します。

例 1:

• 入力: 数値 = [5,3,2,4]
• 出力: 0
• 説明: 最大 3 つの移動を行うことができます。

  In the first move, change 2 to 3. nums becomes [5,3,3,4].
  In the second move, change 4 to 3. nums becomes [5,3,3,3].
  In the third move, change 5 to 3. nums becomes [3,3,3,3].
  After performing 3 moves, the difference between the minimum and maximum is 3 - 3 = 0.

例 2:

• 入力: 数値 = [1,5,0,10,14]
• 出力: 1
• 説明: 最大 3 つの移動を行うことができます。

  In the first move, change 5 to 0. nums becomes [1,0,0,10,14].
  In the second move, change 10 to 0. nums becomes [1,0,0,0,14].
  In the third move, change 14 to 1. nums becomes [1,0,0,0,1].
  After performing 3 moves, the difference between the minimum and maximum is 1 - 0 = 1.
  It can be shown that there is no way to make the difference 0 in 3 moves.

例 3:

• 入力: 数値 = [3,100,20]
• 出力: 0
• 説明: 最大 3 つの移動を行うことができます。

  In the first move, change 100 to 7. nums becomes [3,7,20].
  In the second move, change 20 to 7. nums becomes [3,7,7].
  In the third move, change 3 to 7. nums becomes [7,7,7].
  After performing 3 moves, the difference between the minimum and maximum is 7 - 7 = 0.

制約:

1 5 -10
• 9 ^{<= nums[i] <= 10}9

解決策:

class Solution {

    /**
     * @param Integer[] $nums
     * @return Integer
     */
    function minDifference($nums) {
        $n = count($nums);

        // If the array has 4 or fewer elements, the difference is zero because we can remove all but one element.
        if ($n <= 4) {
            return 0;
        }

        // Sort the array to facilitate the calculation of differences after removals.
        sort($nums);

        // We consider removing 0, 1, 2, or 3 elements from the start or the end.
        // Calculate the differences:
        // 1. Remove 3 from start: nums[n-1] - nums[3]
        // 2. Remove 2 from start, 1 from end: nums[n-2] - nums[2]
        // 3. Remove 1 from start, 2 from end: nums[n-3] - nums[1]
        // 4. Remove 3 from end: nums[n-4] - nums[0]
        $differences = [
            $nums[$n - 1] - $nums[3],
            $nums[$n - 2] - $nums[2],
            $nums[$n - 3] - $nums[1],
            $nums[$n - 4] - $nums[0]
        ];

        // Return the minimum difference.
        return min($differences);
    }
}

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