There are N students and M relationships of the form u v, which means that student u and student v are friends. If two students are not friends directly but they have a mutual friend, then they too become friends. Your task is to count the number of friends of the \(i^{th}\) student where \(1 \leq i \leq N\).

Input:
The first line consists of two integers N and M denoting the number of students and the number of relationships respectively.
The next M lines consists of two integers u and v denoting that student u and student v are friends. u and v can never be equal and relationships are not repeated.

Output:
Print N space separated integers which tells us the number of friends of the \(i^{th}\) student.

Constraints:
\(1 \leq N \leq 10^5\)
\(1 \leq M \leq 10^5\)
\(1 \leq u, v \leq N\)