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:
i from nums and increase nums[i] by 1 for a cost of cost1.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:
nums[1] by 1 for a cost of 5. nums becomes [4,2].nums[1] by 1 for a cost of 5. nums becomes [4,3].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:
nums[0] and nums[1] by 1 for a cost of 1. nums becomes [3,4,3,3,5].nums[0] and nums[2] by 1 for a cost of 1. nums becomes [4,4,4,3,5].nums[0] and nums[3] by 1 for a cost of 1. nums becomes [5,4,4,4,5].nums[1] and nums[2] by 1 for a cost of 1. nums becomes [5,5,5,4,5].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:
nums[0] by 1 for a cost of 1. nums becomes [4,5,3].nums[0] by 1 for a cost of 1. nums becomes [5,5,3].nums[2] by 1 for a cost of 1. nums becomes [5,5,4].nums[2] by 1 for a cost of 1. nums becomes [5,5,5].The total cost is 4.
Constraints:
1 <= nums.length <= 1051 <= nums[i] <= 1061 <= cost1 <= 1061 <= cost2 <= 106