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330. Patching Array (Hard)
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.
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
[Greedy]