[Question]: Given an array arr
of positive integers sorted in a strictly increasing order, and an integer k
. Return the kth
positive integer that is missing from this array.
Example 1:
Input: arr = [2,3,4,7,11], k = 5 Output: 9 Explanation: The missing positive integers are [1,5,6,8,9,10,12,13,...]. The 5th missing positive integer is 9.
Example 2:
Input: arr = [1,2,3,4], k = 2 Output: 6 Explanation: The missing positive integers are [5,6,7,...]. The 2nd missing positive integer is 6.
// TC: O(Nlog(N))
// SC: O(1)
func findKthPositive(_ arr: [Int], _ k: Int) -> Int {
var left = 0
var right = arr.count - 1
while left <= right {
let mid = left + (right-left)/2
if arr[mid] - mid - 1 < k {
left = mid + 1
} else {
right = mid - 1
}
}
return left + k
}