330. Patching Array
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 < = n u m s [ i ] < = 1 0 4 1 <= nums[i] <= 10^4 1<=nums[i]<=104
- nums is sorted in ascending order.
- 1 < = n < = 2 31 − 1 1 <= n <= 2^{31} - 1 1<=n<=231−1
From: LeetCode
Link: 330. Patching Array
Solution:
Ideas:
- miss: This variable represents the smallest sum that cannot be achieved with the current elements of the array.
- i: This is the index to traverse the array nums.
- patches: This is the counter for the number of patches needed.
Code:
c
int minPatches(int* nums, int numsSize, int n) {
long long miss = 1; // The smallest sum that we cannot achieve yet
int i = 0, patches = 0;
while (miss <= n) {
if (i < numsSize && nums[i] <= miss) {
miss += nums[i];
i++;
} else {
miss += miss;
patches++;
}
}
return patches;
}