Find the missing number

The numbers 1 to N were written down, one was lost and the rest were shuffled. Given the N − 1 numbers that remain, print the missing one.

Reported in: Infosys (2021–26), Wipro Elite NTH, Accenture, Cognizant GenC, Deloitte (2025) (memory-based)

Input

First line: N. Second line: N − 1 distinct integers from 1 to N.

Output

The missing number.

Constraints

2 ≤ N ≤ 10^6.

Example 1

Input:
5
1 2 4 5

Output:
3

Example 2

Input:
2
2

Output:
1

Hint: The sum 1 + 2 + … + N is N(N+1)/2; subtract the sum of what you have.

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