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