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#include <iostream> #include <cstdio> #include <cstring> #include <queue> #include <algorithm> #define MAXN (100000 + 5) #define MAXM (500000 + 5) #define INF (0x7ffffff) #define pii pair<int, int> using namespace std; struct edg { int from, to, next, cost; }b[MAXM << 1], rb[MAXM]; struct cmp { bool operator () (const pii x, const pii y) { return x.second > y.second; } }; int g[MAXN], cntb, n, m, pre[MAXN], dis[MAXN], deep[MAXN]; bool vis[MAXN]; priority_queue<pii, vector<pii>, cmp> q; void adn(int from, int to, int cost) { b[++cntb].next = g[from]; b[cntb].from = from, b[cntb].to = to, b[cntb].cost = cost; g[from] = cntb; } void dijk() { memset(vis, false, sizeof(vis)); memset(dis, 0x7f, sizeof(dis)); q.push(make_pair(1, dis[1] = 0)); deep[1] = 1; while (!q.empty()) { pii dq = q.top(); q.pop(); if (vis[dq.first]) continue; vis[dq.first] = true; for (int i = g[dq.first]; i; i = b[i].next) if (dis[b[i].to] > dq.second + b[i].cost) { dis[b[i].to] = dq.second + b[i].cost; pre[b[i].to] = dq.first; deep[b[i].to] = deep[dq.first] + 1; q.push(make_pair(b[i].to, dis[b[i].to])); } } } bool cmp1(edg x, edg y) { return x.cost < y.cost; } void solve(edg e) { int x = e.from, y = e.to; while (x != y) { if (deep[x] < deep[y]) swap(x, y); if (!vis[x]) dis[x] = e.cost - dis[x]; vis[x] = true; x = pre[x]; } while (e.from != x) { int bf = e.from; e.from = pre[e.from]; pre[bf] = x; } while (e.to != x) { int be = e.to; e.to = pre[e.to]; pre[be] = x; } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d%d", &rb[i].from, &rb[i].to, &rb[i].cost); adn(rb[i].from, rb[i].to, rb[i].cost); adn(rb[i].to, rb[i].from, rb[i].cost); } dijk(); for (int i = 1; i <= m; i++) if (dis[rb[i].from] < INF) rb[i].cost += dis[rb[i].from] + dis[rb[i].to]; else rb[i].cost = INF; sort(rb + 1, rb + m + 1, cmp1); memset(vis, false, sizeof(vis)); for (int i = 1; i <= m; i++) if (dis[rb[i].from] < INF && pre[rb[i].to] != rb[i].from && pre[rb[i].from] != rb[i].to) solve(rb[i]); for (int i = 2; i <= n; i++) if (dis[i] < INF && vis[i]) printf("%d\n", dis[i]); else puts("-1"); return 0; }
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