LogiQuest

72. Elements More Than n/3 Times

MediumCounting

Print all values that appear more than ⌊n/3⌋ times, in increasing order, or -1 if there are none.

Input format

Line 1: n Line 2: n integers

Output format

The values, or -1.

Example 1

Input

3
3 2 3

Output

3

Example 2

Input

1
1

Output

1

Constraints

1 ≤ 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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