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1144.cpp
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#include<iostream>
#include<algorithm>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<map>
#include<set>
#include<queue>
#include<vector>
#define IL inline
#define re register
using namespace std;
IL int read()
{
re int res=0;
re char ch=getchar();
while(ch<'0'||ch>'9')
ch=getchar();
while(ch>='0'&&ch<='9')
res=(res<<1)+(res<<3)+(ch^48),ch=getchar();
return res;
}
struct edge{
int x;
int y;
int nex;
}node[2000001];
queue<int>v;
int dist[1000001];
int way[1000001];
bool in[1000001];
int head[1000001];
int cnt;
int n,m;
IL void spfa()
{
int now=1;
v.push(1);
in[now]=1;
dist[1]=0;
way[1]=1;
while(!v.empty())
{
now=v.front();
v.pop();
in[now]=0;
for(re int i=head[now];i;i=node[i].nex)
{
if(dist[node[i].y]>=dist[node[i].x]+1)
{
if(dist[node[i].y]==dist[node[i].x]+1) {
way[node[i].y]+=way[node[i].x];
}
else way[node[i].y]=way[node[i].x];
dist[node[i].y]=dist[node[i].x]+1;
if(way[node[i].y]>=100003) way[node[i].y]-=100003;
if(!in[node[i].y]) v.push(node[i].y),in[node[i].y]=1;
}
}
}
}
IL void add(int a,int b)
{
cnt++;
node[cnt].x=a;
node[cnt].y=b;
node[cnt].nex=head[a];
head[a]=cnt;
}
int main()
{
memset(dist,0x3f,sizeof(dist));
n=read(),m=read();
int tx,ty;
for(int i=1;i<=m;i++)
{
tx=read();
ty=read();
add(tx,ty);
add(ty,tx);
}
spfa();
for(int i=1;i<=n;i++)
cout<<way[i]<<endl;
return 0;
}