{ "data": { "question": { "questionId": "3332", "questionFrontendId": "3066", "categoryTitle": "Algorithms", "boundTopicId": 2658981, "title": "Minimum Operations to Exceed Threshold Value II", "titleSlug": "minimum-operations-to-exceed-threshold-value-ii", "content": "

You are given a 0-indexed integer array nums, and an integer k.

\n\n

You are allowed to perform some operations on nums, where in a single operation, you can:

\n\n\n\n

Note that you can only apply the described operation if nums contains at least two elements.

\n\n

Return the minimum number of operations needed so that all elements of the array are greater than or equal to k.

\n\n

 

\n

Example 1:

\n\n
\n

Input: nums = [2,11,10,1,3], k = 10

\n\n

Output: 2

\n\n

Explanation:

\n\n
    \n\t
  1. In the first operation, we remove elements 1 and 2, then add 1 * 2 + 2 to nums. nums becomes equal to [4, 11, 10, 3].
  2. \n\t
  3. In the second operation, we remove elements 3 and 4, then add 3 * 2 + 4 to nums. nums becomes equal to [10, 11, 10].
  4. \n
\n\n

At this stage, all the elements of nums are greater than or equal to 10 so we can stop. 

\n\n

It can be shown that 2 is the minimum number of operations needed so that all elements of the array are greater than or equal to 10.

\n
\n\n

Example 2:

\n\n
\n

Input: nums = [1,1,2,4,9], k = 20

\n\n

Output: 4

\n\n

Explanation:

\n\n
    \n\t
  1. After one operation, nums becomes equal to [2, 4, 9, 3]
  2. \n\t
  3. After two operations, nums becomes equal to [7, 4, 9]
  4. \n\t
  5. After three operations, nums becomes equal to [15, 9]
  6. \n\t
  7. After four operations, nums becomes equal to [33].
  8. \n
\n\n

At this stage, all the elements of nums are greater than 20 so we can stop. 

\n\n

It can be shown that 4 is the minimum number of operations needed so that all elements of the array are greater than or equal to 20.

\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "超过阈值的最少操作数 II", "translatedContent": "

给你一个下标从 0 开始的整数数组 nums 和一个整数 k 。

\n\n

你可以对 nums 执行一些操作,在一次操作中,你可以:

\n\n\n\n

注意,只有当 nums 至少 包含两个元素时,你才可以执行以上操作。

\n\n

你需要使数组中的所有元素都 大于或等于 k ,请你返回需要的 最少 操作次数。

\n\n

 

\n\n

示例 1:

\n\n
\n

输入:nums = [2,11,10,1,3], k = 10

\n\n

输出:2

\n\n

解释:

\n\n
    \n\t
  1. 第一次操作中,我们删除元素 1 和 2 ,然后添加 1 * 2 + 2nums 中,nums 变为 [4, 11, 10, 3]
  2. \n\t
  3. 第二次操作中,我们删除元素 3 和 4 ,然后添加 3 * 2 + 4nums 中,nums 变为 [10, 11, 10]
  4. \n
\n\n

此时,数组中的所有元素都大于等于 10 ,所以我们停止操作。

\n\n

可以证明使数组中所有元素都大于等于 10 需要的最少操作次数为 2 。

\n\n

 

\n
\n\n

示例 2:

\n\n
\n

输入:nums = [1,1,2,4,9], k = 20

\n\n

输出:4

\n\n

解释:

\n\n
    \n\t
  1. 第一次操作后,nums 变为 [2, 4, 9, 3]
  2. \n\t
  3. 第二次操作后,nums 变为 [7, 4, 9]
  4. \n\t
  5. 第三次操作后,nums 变为 [15, 9]
  6. \n\t
  7. 第四次操作后,nums 变为 [33]
  8. \n
\n\n

此时,nums 中的所有元素都大于等于 20 ,所以我们停止操作。

\n\n

可以证明使数组中所有元素都大于等于 20 需要的最少操作次数为 4 。

\n
\n\n

 

\n\n

提示:

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