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.
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 $m$ 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