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
class Solution {
fun minPatches(nums: IntArray, n: Int): Int {
var res = 0
var sum: Long = 0
var i = 0
while (sum < n) {
// required number
val req = sum + 1
if (i < nums.size && nums[i] <= req) {
sum += nums[i++].toLong()
} else {
sum += req
res++
}
}
return res
}
}