2020 Mid-Atlantic USA Regional Contest

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2021-03-06 10:00 AKST

2020 Mid-Atlantic USA Regional Contest

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2021-03-06 15:00 AKST
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Problem B
Unread Messages

There is a group of people in an internet email message group. Messages are sent to all members of the group, and no two messages are sent at the same time.

Immediately before a person sends a message, they read all their unread messages up to that point. Each sender also reads their own message the moment it is sent. Therefore, a person’s unread messages are exactly the set of messages sent after that person’s last message.

Each time a message is sent, compute the total number of unread messages over all group members.

Input

The first line of input contains two integers $n$ ($1 \le n \le 10^9$) and $m$ ($1 \le m \le 1\, 000$), where $n$ is the number of people in the group, and $m$ is the number of messages sent. The group members are identified by number, $1$ through $n$.

Each of the next $m$ lines contains a single integer $s$ ($1 \le s \le n$), which is the sender of that message. These lines are in chronological order.

Output

Output $m$ lines, each with a single integer, indicating the total number of unread messages over all group members, immediately after each message is sent.

Sample Input 1 Sample Output 1
2 4
1
2
1
2
1
1
1
1
Sample Input 2 Sample Output 2
3 9
1
2
3
2
1
3
3
2
1
2
3
3
4
3
3
5
4
3