You are given an array nums of positive integers. In one operation, you can choose any number from nums and reduce it to exactly half the number. (Note that you may choose this reduced number in future operations.)
Return the minimum number of operations to reduce the sum of nums by at least half.
\n
Example 1:
\n\n\nInput: nums = [5,19,8,1]\nOutput: 3\nExplanation: The initial sum of nums is equal to 5 + 19 + 8 + 1 = 33.\nThe following is one of the ways to reduce the sum by at least half:\nPick the number 19 and reduce it to 9.5.\nPick the number 9.5 and reduce it to 4.75.\nPick the number 8 and reduce it to 4.\nThe final array is [5, 4.75, 4, 1] with a total sum of 5 + 4.75 + 4 + 1 = 14.75. \nThe sum of nums has been reduced by 33 - 14.75 = 18.25, which is at least half of the initial sum, 18.25 >= 33/2 = 16.5.\nOverall, 3 operations were used so we return 3.\nIt can be shown that we cannot reduce the sum by at least half in less than 3 operations.\n\n\n
Example 2:
\n\n\nInput: nums = [3,8,20]\nOutput: 3\nExplanation: The initial sum of nums is equal to 3 + 8 + 20 = 31.\nThe following is one of the ways to reduce the sum by at least half:\nPick the number 20 and reduce it to 10.\nPick the number 10 and reduce it to 5.\nPick the number 3 and reduce it to 1.5.\nThe final array is [1.5, 8, 5] with a total sum of 1.5 + 8 + 5 = 14.5. \nThe sum of nums has been reduced by 31 - 14.5 = 16.5, which is at least half of the initial sum, 16.5 >= 31/2 = 15.5.\nOverall, 3 operations were used so we return 3.\nIt can be shown that we cannot reduce the sum by at least half in less than 3 operations.\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 107给你一个正整数数组 nums 。每一次操作中，你可以从 nums 中选择 任意 一个数并将它减小到 恰好 一半。（注意，在后续操作中你可以对减半过的数继续执行操作）
请你返回将 nums 数组和 至少 减少一半的 最少 操作数。
\n\n
示例 1：
\n\n\n输入：nums = [5,19,8,1]\n输出：3\n解释：初始 nums 的和为 5 + 19 + 8 + 1 = 33 。\n以下是将数组和减少至少一半的一种方法：\n选择数字 19 并减小为 9.5 。\n选择数字 9.5 并减小为 4.75 。\n选择数字 8 并减小为 4 。\n最终数组为 [5, 4.75, 4, 1] ，和为 5 + 4.75 + 4 + 1 = 14.75 。\nnums 的和减小了 33 - 14.75 = 18.25 ，减小的部分超过了初始数组和的一半，18.25 >= 33/2 = 16.5 。\n我们需要 3 个操作实现题目要求，所以返回 3 。\n可以证明，无法通过少于 3 个操作使数组和减少至少一半。\n\n\n
示例 2：
\n\n\n输入：nums = [3,8,20]\n输出：3\n解释：初始 nums 的和为 3 + 8 + 20 = 31 。\n以下是将数组和减少至少一半的一种方法：\n选择数字 20 并减小为 10 。\n选择数字 10 并减小为 5 。\n选择数字 3 并减小为 1.5 。\n最终数组为 [1.5, 8, 5] ，和为 1.5 + 8 + 5 = 14.5 。\nnums 的和减小了 31 - 14.5 = 16.5 ，减小的部分超过了初始数组和的一半， 16.5 >= 31/2 = 15.5 。\n我们需要 3 个操作实现题目要求，所以返回 3 。\n可以证明，无法通过少于 3 个操作使数组和减少至少一半。\n\n\n
\n\n
提示：
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