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] for 1 <= i < j <= arr.length
Solution in python:
class Solution:
def findKthPositive(self, arr: List[int], k: int) -> int:
missing = []
j = 0
for i in range(1, arr[-1]):
if i == arr[j]:
j += 1
continue
else:
missing.append(i)
if k <= len(missing):
return missing[k-1]
else:
return arr[-1]+k-len(missing)
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