01204212/like

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This is part of 01204212

You want to keep track of the number of "likes" each status has. In the beginning, every status has 0 likes. You are given a sequence of like clicks (as a sequence of status IDs).

Input

  • First line: an integer N (1<=N<=100,000)
  • The next N lines: each line contains an integer x, the ID of the post clicked.

Output

There are N lines of output, each contains the current number of likes the post ID x has so far (including this one).

Example

Example

Input

10
4
2
4
10
100
30
10
35
4
200

Output

1
1
2
1
1
1
2
1
3
1

Test data

Use the test data for ID requests

Download at: here