LogiQuest

438. K-th Missing Positive Number

EasyBinary Search

The array is strictly increasing and positive. Print the k-th positive integer missing from it.

Input format

Line 1: n k Line 2: n integers

Output format

The k-th missing number.

Example 1

Input

5 5
2 3 4 7 11

Output

9

Example 2

Input

4 2
1 2 3 4

Output

6

Constraints

1 ≤ n ≤ 1000 1 ≤ k ≤ 1000

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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