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0330.go
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// Source: https://leetcode.com/problems/patching-array
// Title: Patching Array
// Difficulty: Hard
// Author: Mu Yang <http://muyang.pro>
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
// Given a sorted integer array nums and an integer n, add/patch elements to the array such that any number in the range [1, n] inclusive can be formed by the sum of some elements in the array.
//
// Return the minimum number of patches required.
//
// Example 1:
//
// Input: nums = [1,3], n = 6
// Output: 1
// Explanation:
// Combinations of nums are [1], [3], [1,3], which form possible sums of: 1, 3, 4.
// Now if we add/patch 2 to nums, the combinations are: [1], [2], [3], [1,3], [2,3], [1,2,3].
// Possible sums are 1, 2, 3, 4, 5, 6, which now covers the range [1, 6].
// So we only need 1 patch.
//
// Example 2:
//
// Input: nums = [1,5,10], n = 20
// Output: 2
// Explanation: The two patches can be [2, 4].
//
// Example 3:
//
// Input: nums = [1,2,2], n = 5
// Output: 0
//
// Constraints:
//
// 1 <= nums.length <= 1000
// 1 <= nums[i] <= 10^4
// nums is sorted in ascending order.
// 1 <= n <= 2^31-1
//
////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
package main
func minPatches(nums []int, n int) int {
}