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1{2  "id": 3402,3  "name": "minimum-cost-to-equalize-array",4  "difficulty": "Hard",5  "link": "https://leetcode.com/problems/minimum-cost-to-equalize-array/",6  "date": "2024-04-28",7  "task_description": "You are given an integer array `nums` and two integers `cost1` and `cost2`. You are allowed to perform **either** of the following operations **any** number of times: Choose an index `i` from `nums` and **increase** `nums[i]` by `1` for a cost of `cost1`. Choose two **different** indices `i`, `j`, from `nums` and **increase** `nums[i]` and `nums[j]` by `1` for a cost of `cost2`. Return the **minimum** **cost** required to make all elements in the array **equal**_. _ Since the answer may be very large, return it **modulo** `109 + 7`. **Example 1:** **Input:** nums = [4,1], cost1 = 5, cost2 = 2 **Output:** 15 **Explanation: ** The following operations can be performed to make the values equal: Increase `nums[1]` by 1 for a cost of 5. `nums` becomes `[4,2]`. Increase `nums[1]` by 1 for a cost of 5. `nums` becomes `[4,3]`. Increase `nums[1]` by 1 for a cost of 5. `nums` becomes `[4,4]`. The total cost is 15. **Example 2:** **Input:** nums = [2,3,3,3,5], cost1 = 2, cost2 = 1 **Output:** 6 **Explanation: ** The following operations can be performed to make the values equal: Increase `nums[0]` and `nums[1]` by 1 for a cost of 1. `nums` becomes `[3,4,3,3,5]`. Increase `nums[0]` and `nums[2]` by 1 for a cost of 1. `nums` becomes `[4,4,4,3,5]`. Increase `nums[0]` and `nums[3]` by 1 for a cost of 1. `nums` becomes `[5,4,4,4,5]`. Increase `nums[1]` and `nums[2]` by 1 for a cost of 1. `nums` becomes `[5,5,5,4,5]`. Increase `nums[3]` by 1 for a cost of 2. `nums` becomes `[5,5,5,5,5]`. The total cost is 6. **Example 3:** **Input:** nums = [3,5,3], cost1 = 1, cost2 = 3 **Output:** 4 **Explanation:** The following operations can be performed to make the values equal: Increase `nums[0]` by 1 for a cost of 1. `nums` becomes `[4,5,3]`. Increase `nums[0]` by 1 for a cost of 1. `nums` becomes `[5,5,3]`. Increase `nums[2]` by 1 for a cost of 1. `nums` becomes `[5,5,4]`. Increase `nums[2]` by 1 for a cost of 1. `nums` becomes `[5,5,5]`. The total cost is 4. **Constraints:** `1 <= nums.length <= 105` `1 <= nums[i] <= 106` `1 <= cost1 <= 106` `1 <= cost2 <= 106`",8  "test_case": [9    {10      "label": "Example 1",11      "input": "nums = [4,1], cost1 = 5, cost2 = 2",12      "output": "15 "13    },14    {15      "label": "Example 2",16      "input": "nums = [2,3,3,3,5], cost1 = 2, cost2 = 1",17      "output": "6 "18    },19    {20      "label": "Example 3",21      "input": "nums = [3,5,3], cost1 = 1, cost2 = 3",22      "output": "4 "23    }24  ],25  "constraints": [26    "Choose an index i from nums and increase nums[i] by 1 for a cost of cost1.",27    "Choose two different indices i, j, from nums and increase nums[i] and nums[j] by 1 for a cost of cost2.",28    "Increase nums[1] by 1 for a cost of 5. nums becomes [4,2].",29    "Increase nums[1] by 1 for a cost of 5. nums becomes [4,3].",30    "Increase nums[1] by 1 for a cost of 5. nums becomes [4,4].",31    "Increase nums[0] and nums[1] by 1 for a cost of 1. nums becomes [3,4,3,3,5].",32    "Increase nums[0] and nums[2] by 1 for a cost of 1. nums becomes [4,4,4,3,5].",33    "Increase nums[0] and nums[3] by 1 for a cost of 1. nums becomes [5,4,4,4,5].",34    "Increase nums[1] and nums[2] by 1 for a cost of 1. nums becomes [5,5,5,4,5].",35    "Increase nums[3] by 1 for a cost of 2. nums becomes [5,5,5,5,5].",36    "Increase nums[0] by 1 for a cost of 1. nums becomes [4,5,3].",37    "Increase nums[0] by 1 for a cost of 1. nums becomes [5,5,3].",38    "Increase nums[2] by 1 for a cost of 1. nums becomes [5,5,4].",39    "Increase nums[2] by 1 for a cost of 1. nums becomes [5,5,5].",40    "1 <= nums.length <= 105",41    "1 <= nums[i] <= 106",42    "1 <= cost1 <= 106",43    "1 <= cost2 <= 106"44  ],45  "python_template": "class Solution(object):\n    def minCostToEqualizeArray(self, nums, cost1, cost2):\n        \"\"\"\n        :type nums: List[int]\n        :type cost1: int\n        :type cost2: int\n        :rtype: int\n        \"\"\"\n        ",46  "java_template": "class Solution {\n    public int minCostToEqualizeArray(int[] nums, int cost1, int cost2) {\n        \n    }\n}",47  "metadata": {48    "func_name": "minCostToEqualizeArray"49  }50}