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1{2  "id": 3332,3  "name": "minimum-operations-to-exceed-threshold-value-ii",4  "difficulty": "Medium",5  "link": "https://leetcode.com/problems/minimum-operations-to-exceed-threshold-value-ii/",6  "date": "2024-02-17",7  "task_description": "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: Select the two **smallest** integers `x` and `y` from `nums`. Remove `x` and `y` from `nums`. Insert `(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`. **Example 1:** **Input:** nums = [2,11,10,1,3], k = 10 **Output:** 2 **Explanation:** 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]`. In the second operation, we remove elements 3 and 4, then add `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. 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. **Example 2:** **Input:** nums = [1,1,2,4,9], k = 20 **Output:** 4 **Explanation:** After one operation, `nums` becomes equal to `[2, 4, 9, 3]`. After two operations, `nums` becomes equal to `[7, 4, 9]`. After three operations, `nums` becomes equal to `[15, 9]`. After four operations, `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. **Constraints:** `2 <= nums.length <= 2 * 105` `1 <= nums[i] <= 109` `1 <= k <= 109` The input is generated such that an answer always exists. That is, after performing some number of operations, all elements of the array are greater than or equal to `k`.",8  "test_case": [9    {10      "label": "Example 1",11      "input": "nums = [2,11,10,1,3], k = 10",12      "output": "2 "13    },14    {15      "label": "Example 2",16      "input": "nums = [1,1,2,4,9], k = 20",17      "output": "4 "18    }19  ],20  "constraints": [21    "Select the two smallest integers x and y from nums.",22    "Remove x and y from nums.",23    "Insert (min(x, y) * 2 + max(x, y)) at any position in the array.",24    "2 <= nums.length <= 2 * 105",25    "1 <= nums[i] <= 109",26    "1 <= k <= 109",27    "The input is generated such that an answer always exists. That is, after performing some number of operations, all elements of the array are greater than or equal to k."28  ],29  "python_template": "class Solution(object):\n    def minOperations(self, nums, k):\n        \"\"\"\n        :type nums: List[int]\n        :type k: int\n        :rtype: int\n        \"\"\"\n        ",30  "java_template": "class Solution {\n    public int minOperations(int[] nums, int k) {\n        \n    }\n}",31  "metadata": {32    "func_name": "minOperations"33  }34}