[Swift]LeetCode330. 按要求补齐数组 | Patching Array

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Given a sorted positive integer array nums and an integer n, add/patch elements to the array such that any number in range [1, n] inclusive can be formed by the sum of some elements in the array. Return the minimum number of patches required.git

Example 1:github

Input: nums = , n = 
Output: 1 
Explanation:
Combinations of nums are , which form possible sums of: .
Now if we add/patch  to nums, the combinations are: .
Possible sums are , which now covers the range .
So we only need  patch.[1,3]6[1], [3], [1,3]1, 3, 42[1], [2], [3], [1,3], [2,3], [1,2,3]1, 2, 3, 4, 5, 6[1, 6]1

Example 2:数组

Input: nums = , n = 
Output: 2
Explanation: The two patches can be .
[1,5,10]20[2, 4]

Example 3:微信

Input: nums = , n = 
Output: 0[1,2,2]5

给定一个已排序的正整数数组 nums,和一个正整数 n 。从 [1, n] 区间内选取任意个数字补充到 nums 中,使得 [1, n] 区间内的任何数字均可以用 nums 中某几个数字的和来表示。请输出知足上述要求的最少须要补充的数字个数。ui

示例 1:spa

输入: nums = , n = 
输出: 1 
解释:
根据 nums 里现有的组合 ,能够得出 。
如今若是咱们将  添加到 nums 中, 组合变为: 。
其和能够表示数字 ,可以覆盖  区间里全部的数。
因此咱们最少须要添加一个数字。[1,3]6[1], [3], [1,3]1, 3, 42[1], [2], [3], [1,3], [2,3], [1,2,3]1, 2, 3, 4, 5, 6[1, 6]

示例 2:code

输入: nums = , n = 
输出: 2
解释: 咱们须要添加 。
[1,5,10]20[2, 4]

示例 3:orm

输入: nums = , n = 
输出: 0[1,2,2]5

52ms
 1 class Solution {
 2     func minPatches(_ nums: [Int], _ n: Int) -> Int {
 3         
 4         var miss = 1
 5         var res = 0
 6         var i = 0
 7         let l = nums.count
 8         while miss <= n {
 9             if i < l && nums[i] <= miss {
10                 miss += nums[i]
11                 i+=1
12             }else {
13                 miss <<= 1
14                 res += 1
15             }
16         }
17         return res
18     }
19 }
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