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# include <bits/stdc++.h>
using namespace std ;
const int N = 4e5 + 10 ;
const int MOD = 100003 ;
int h [ N ] , ne [ N ] , e [ N ] , idx ;
void add ( int a , int b ) {
e [ idx ] = b , ne [ idx ] = h [ a ] , h [ a ] = idx + + ;
}
int cnt [ N ] ; // 从顶点1开始, 到其他每个点的最短路有几条
int dis [ N ] ; // 最短距离
int n , m ;
void bfs ( ) {
memset ( dis , 0x3f , sizeof dis ) ;
queue < int > q ;
q . push ( 1 ) ;
cnt [ 1 ] = 1 ; // 从顶点1开始, 到顶点1的最短路有1条
dis [ 1 ] = 0 ; // 距离为0
while ( q . size ( ) ) {
int u = q . front ( ) ;
q . pop ( ) ;
for ( int i = h [ u ] ; ~ i ; i = ne [ i ] ) {
int j = e [ i ] ;
if ( dis [ j ] > dis [ u ] + 1 ) {
dis [ j ] = dis [ u ] + 1 ;
q . push ( j ) ;
cnt [ j ] = cnt [ u ] ;
} else if ( dis [ j ] = = dis [ u ] + 1 )
cnt [ j ] = ( cnt [ j ] + cnt [ u ] ) % MOD ;
}
}
}
int main ( ) {
memset ( h , - 1 , sizeof h ) ;
scanf ( " %d %d " , & n , & m ) ;
while ( m - - ) {
int a , b ;
scanf ( " %d %d " , & a , & b ) ;
add ( a , b ) , add ( b , a ) ;
}
bfs ( ) ;
for ( int i = 1 ; i < = n ; i + + ) printf ( " %d \n " , cnt [ i ] ) ;
return 0 ;
}