LogiQuest

62. Missing and Repeating

MediumArrayMath

The array has n numbers from 1..n where exactly one number appears twice and one number is missing. Print the repeating number and the missing number.

Input format

Line 1: n Line 2: n integers

Output format

repeating missing

Example 1

Input

5
3 1 2 5 3

Output

3 4

Example 2

Input

2
2 2

Output

2 1

Constraints

2 ≤ n ≤ 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 6 test cases, most of them hidden.

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