1539. Kth Missing Positive Number
Given an array arr
of positive integers sorted in a strictly increasing order, and an integer k
.
Find 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.
Constraints:
1 <= arr.length <= 1000
1 <= arr[i] <= 1000
1 <= k <= 1000
arr[i] < arr[j]
for1 <= i < j <= arr.length
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | class Solution { public int findKthPositive(int[] arr, int k) { int n = arr.length; //arr[i-1] - i = missed //find max i s.t. arr[i-1] - i < k //return i+k int l = 0, r = n, mid = 0; while(l<=r){ mid = (l+r)/2; int missed = getMissed(arr, mid); if(missed<k && (mid==r || getMissed(arr, mid+1) >= k)) break; else if(missed<k) l = mid+1; else r = mid-1; } return mid+k; } int getMissed(int[] arr, int len){ if(len==0) return 0; else return arr[len-1] - len; } } |