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Find the Maximum Number of Marked Indices

You are given a 0-indexed integer array nums.

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:

Return the maximum possible number of marked indices in nums using the above operation any number of times.

Find the Maximum Number of Marked Indices diagram

Example 1

Input: nums = [3,5,2,4]

Output: 2

Explanation: 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. It can be shown that there's no other valid operation so the answer is 2.

Example 2

Input: nums = [9,2,5,4]

Output: 4

Explanation: 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. In 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. Since there is no other operation, the answer is 4.

Example 3

Input: nums = [7,6,8]

Output: 0

Explanation: There is no valid operation to do, so the answer is 0.

Constraints

  • 1 <= nums.length <= 10^5
  • 1 <= nums[i] <= 10^9

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