{ "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
.
You are allowed to perform some operations on nums
, where in a single operation, you can:
x
and y
from nums
.x
and y
from nums
.(min(x, y) * 2 + max(x, y))
at any position in the array.Note that you can only apply the described operation if nums
contains at least two elements.
Return the minimum number of operations needed so that all elements of the array are greater than or equal to k
.
\n
Example 1:
\n\nInput: nums = [2,11,10,1,3], k = 10
\n\nOutput: 2
\n\nExplanation:
\n\n1 * 2 + 2
to nums
. nums
becomes equal to [4, 11, 10, 3]
.3 * 2 + 4
to nums
. nums
becomes equal to [10, 11, 10]
.At this stage, all the elements of nums are greater than or equal to 10 so we can stop.
\n\nIt 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.
\nExample 2:
\n\nInput: nums = [1,1,2,4,9], k = 20
\n\nOutput: 4
\n\nExplanation:
\n\nnums
becomes equal to [2, 4, 9, 3]
. nums
becomes equal to [7, 4, 9]
. nums
becomes equal to [15, 9]
. nums
becomes equal to [33]
.At this stage, all the elements of nums
are greater than 20 so we can stop.
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
Constraints:
\n\n2 <= nums.length <= 2 * 105
1 <= nums[i] <= 109
1 <= k <= 109
k
.给你一个下标从 0 开始的整数数组 nums
和一个整数 k
。
你可以对 nums
执行一些操作,在一次操作中,你可以:
nums
中 最小 的两个整数 x
和 y
。x
和 y
从 nums
中删除。min(x, y) * 2 + max(x, y)
添加到数组中的任意位置。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。
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
示例 1:
\n\n输入:nums = [2,11,10,1,3], k = 10
\n\n输出:2
\n\n解释:
\n\n1 * 2 + 2
到 nums
中,nums
变为 [4, 11, 10, 3]
。3 * 2 + 4
到 nums
中,nums
变为 [10, 11, 10]
。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
示例 2:
\n\n输入:nums = [1,1,2,4,9], k = 20
\n\n输出:4
\n\n解释:
\n\nnums
变为 [2, 4, 9, 3]
。nums
变为 [7, 4, 9]
。nums
变为 [15, 9]
。nums
变为 [33]
。此时,nums
中的所有元素都大于等于 20 ,所以我们停止操作。
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
提示:
\n\n2 <= nums.length <= 2 * 105
1 <= nums[i] <= 109
1 <= k <= 109
k
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