{ "data": { "question": { "questionId": "2712", "questionFrontendId": "2576", "categoryTitle": "Algorithms", "boundTopicId": 2130471, "title": "Find the Maximum Number of Marked Indices", "titleSlug": "find-the-maximum-number-of-marked-indices", "content": "
You are given a 0-indexed integer array nums
.
Initially, all of the indices are unmarked. You are allowed to make this operation any number of times:
\n\ni
and j
such that 2 * nums[i] <= nums[j]
, then mark i
and j
.Return the maximum possible number of marked indices in nums
using the above operation any number of times.
\n
Example 1:
\n\n\nInput: nums = [3,5,2,4]\nOutput: 2\nExplanation: In the first operation: pick i = 2 and j = 1, the operation is allowed because 2 * nums[2] <= nums[1]. Then mark index 2 and 1.\nIt can be shown that there's no other valid operation so the answer is 2.\n\n\n
Example 2:
\n\n\nInput: nums = [9,2,5,4]\nOutput: 4\nExplanation: In the first operation: pick i = 3 and j = 0, the operation is allowed because 2 * nums[3] <= nums[0]. Then mark index 3 and 0.\nIn the second operation: pick i = 1 and j = 2, the operation is allowed because 2 * nums[1] <= nums[2]. Then mark index 1 and 2.\nSince there is no other operation, the answer is 4.\n\n\n
Example 3:
\n\n\nInput: nums = [7,6,8]\nOutput: 0\nExplanation: There is no valid operation to do, so the answer is 0.\n\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 105
1 <= nums[i] <= 109
\n\n", "translatedTitle": "求出最多标记下标", "translatedContent": "
给你一个下标从 0 开始的整数数组 nums
。
一开始,所有下标都没有被标记。你可以执行以下操作任意次:
\n\ni
和 j
,满足 2 * nums[i] <= nums[j]
,标记下标 i
和 j
。请你执行上述操作任意次,返回 nums
中最多可以标记的下标数目。
\n\n
示例 1:
\n\n\n输入:nums = [3,5,2,4]\n输出:2\n解释:第一次操作中,选择 i = 2 和 j = 1 ,操作可以执行的原因是 2 * nums[2] <= nums[1] ,标记下标 2 和 1 。\n没有其他更多可执行的操作,所以答案为 2 。\n\n\n
示例 2:
\n\n\n输入:nums = [9,2,5,4]\n输出:4\n解释:第一次操作中,选择 i = 3 和 j = 0 ,操作可以执行的原因是 2 * nums[3] <= nums[0] ,标记下标 3 和 0 。\n第二次操作中,选择 i = 1 和 j = 2 ,操作可以执行的原因是 2 * nums[1] <= nums[2] ,标记下标 1 和 2 。\n没有其他更多可执行的操作,所以答案为 4 。\n\n\n
示例 3:
\n\n\n输入:nums = [7,6,8]\n输出:0\n解释:没有任何可以执行的操作,所以答案为 0 。\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 105
1 <= nums[i] <= 109
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