Count every distinct array value.

Input

The first line contains n. The second line contains n integers.

Array and query counts are between $1$ and $10^5$. Integer values are between $-10^9$ and $10^9$. Deleting a missing multiset value has no effect.

Output

Print x f for each distinct x in increasing order, where f is its frequency.

Example

Input

7
4 2 4 6 2 3 6

Output

2 2
3 1
4 2
6 2