Competitions

# Graphs Representation

# Traffic lights

In the cave there are **m** tunnels and **n** junctions, each tunnel connects two crossroads. Mouse King decided to install the traffic light in every tunnel before every intersection. Write a program to calculate how many traffic lights must be installed on each intersection. Intersections are numbered from **1** to **n**.

#### Input

The first line contains two numbers **n** and **m** (**0** < **n** ≤ **100**, **0** ≤ **m** ≤ **n** ·(**n** - **1**) / **2**). The following **m** lines contain two integers **i** and **j** (**1** ≤ **i**, **j** ≤ **n**), which means that the intersections **i** and **j** are connected with a tunnel.

#### Output

Print **n** numbers: **k**-th number indicates the number of traffic signals at the **k**-th intersection.

We can assume that any two crossing connected by no more than one tunnel. No tunnels from the intersection **i** to him.

Input example #1

7 10 5 1 3 2 7 1 5 2 7 4 6 5 6 4 7 5 2 1 5 3

Output example #1

3 3 2 2 5 2 3