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#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> PII;
const int N = 100010, M = 400010;
const int MOD = 100003;
int n, m;
int cnt[N];
int dist[N];
bool st[N];
int h[N], e[M], ne[M], idx;
void add(int a, int b) {
e[idx] = b, ne[idx] = h[a], h[a] = idx++;
}
void dijkstra() {
memset(dist, 0x3f, sizeof dist);
dist[1] = 0;
// 出发点到自己的最短路径只能有1条
cnt[1] = 1;
// 小顶堆q
priority_queue<PII, vector<PII>, greater<PII>> pq;
pq.push({0, 1});
while (pq.size()) {
auto t = pq.top();
pq.pop();
int u = t.second, d = t.first;
if (st[u]) continue;
st[u] = true;
for (int i = h[u]; ~i; i = ne[i]) {
int j = e[i];
if (dist[j] > d + 1) {
dist[j] = d + 1;
cnt[j] = cnt[u];
pq.push({dist[j], j});
} else if (dist[j] == d + 1)
cnt[j] = (cnt[j] + cnt[u]) % MOD;
}
}
}
int main() {
scanf("%d %d", &n, &m);
memset(h, -1, sizeof h);
while (m--) {
int a, b;
scanf("%d %d", &a, &b);
add(a, b), add(b, a);
}
dijkstra();
for (int i = 1; i <= n; i++) printf("%d\n", cnt[i]);
return 0;
}