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g0301_0400.s0330_patching_array.readme.md Maven / Gradle / Ivy

330\. Patching Array

Hard

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] <= 104
*   `nums` is sorted in **ascending order**.
*   1 <= n <= 231 - 1