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#include <bits/stdc++.h> using namespace std; const long long INF = 1e18; const int mod = 1e9 + 7; const int N = 1e3 + 10; bool vis[N]; long long dist[N], dis[N][N]; int par[N]; vector<int> G[N]; priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > q; long long dijkstra(int node, int lol, int he = 1) { for (int i = 0; i <= N - 1; ++i) dist[i] = INF; memset(vis, 0, sizeof(vis)); memset(par, -1, sizeof(par)); dist[node] = 0; q.push({dist[node], node}); while (!q.empty()) { int u = q.top().second; q.pop(); if (vis[u]) continue; vis[u] = 1; for (auto p : G[u]) { if (he == 0 && dis[u][p] == 0) continue; if (dist[p] > dist[u] + dis[u][p]) { par[p] = u; dist[p] = dist[u] + dis[u][p]; q.push({dist[p], p}); } } } return dist[lol]; } set<pair<int, int> > E; vector<pair<int, int> > EE; int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); int n, m, L, s, t; cin >> n >> m >> L >> s >> t; for (int i = 0; i <= m - 1; ++i) { int u, v, w; cin >> u >> v >> w; G[u].push_back(v); G[v].push_back(u); dis[u][v] = w; dis[v][u] = w; if (!w) E.insert({u, v}); EE.push_back({u, v}); } long long l = dijkstra(s, t, 0); if (l < L) { cout << "NO\n"; return 0; } for (auto e : E) { dis[e.first][e.second] = dis[e.second][e.first] = 1; } l = dijkstra(s, t); if (l > L) { cout << "NO\n"; return 0; } while (l < L) { int lol = t; set<pair<int, int> > hehe; while (lol != s) { int p = par[lol]; hehe.insert({p, lol}); hehe.insert({lol, p}); lol = p; } for (auto it : E) { if (hehe.find(it) == hehe.end()) { dis[it.first][it.second] = INF; dis[it.second][it.first] = INF; } } for (auto it : E) { if (hehe.find(it) != hehe.end()) { dis[it.first][it.second] += (L - l); dis[it.second][it.first] += (L - l); break; } } l = dijkstra(s, t); } cout << "YES\n"; for (auto e : EE) { cout << e.first << " " << e.second << " " << dis[e.first][e.second] << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e18; const int N = 10100; struct HeapNode { long long d; int u; bool operator<(const HeapNode &u) const { return d > u.d; } }; struct Edge { int u, v, claim; long long cost; }; int n, m, L, s, t; int done[N]; long long dis[N]; vector<int> g[N]; vector<Edge> edges; long long dijkstra(int s, int t) { memset(done, 0, sizeof done); for (int i = 0; i < n; ++i) dis[i] = INF; dis[s] = 0; priority_queue<HeapNode> q; q.push((HeapNode){0, s}); while (!q.empty()) { HeapNode x = q.top(); q.pop(); int u = x.u; if (done[u]) continue; done[u] = 1; for (int i = 0; i < (int)g[u].size(); ++i) { Edge &e = edges[g[u][i]]; int to = u ^ e.u ^ e.v; if (!done[to] && dis[to] > dis[u] + e.cost) { dis[to] = dis[u] + e.cost; q.push((HeapNode){dis[to], to}); } } } return dis[t]; } int main() { cin >> n >> m >> L >> s >> t; edges.resize(m); for (int i = 0; i < m; ++i) { Edge &e = edges[i]; cin >> e.u >> e.v >> e.claim; if (e.claim != 0) e.cost = e.claim; g[e.u].push_back(i); g[e.v].push_back(i); } try { for (int i = 0; i < m; ++i) if (edges[i].claim == 0) edges[i].cost = INF; if (dijkstra(s, t) < L) throw 1; for (int i = 0; i < m; ++i) if (edges[i].claim == 0) edges[i].cost = 1; if (dijkstra(s, t) > L) throw 2; long long now = dijkstra(s, t); for (int i = 0; i < m; ++i) if (edges[i].claim == 0) { edges[i].cost += L - now; now = dijkstra(s, t); if (now == L) break; } assert(now == L); puts("YES"); for (int i = 0; i < m; ++i) cout << edges[i].u << " " << edges[i].v << " " << edges[i].cost << endl; } catch (int e) { puts("NO"); } }
#include <bits/stdc++.h> using namespace std; const long long INF = 10000000000000000; const long long maxM = 100000 + 10; long long d1; bool er[maxM]; vector<long long> paths1; struct Edge { long long from, to; long long dist; }; struct HeapNode { long long d; long long u; bool operator<(const HeapNode& rhs) const { return d > rhs.d; } }; vector<Edge> edges; vector<long long> G[maxM]; bool done[maxM]; long long d[maxM]; long long p[maxM]; long long id[maxM]; struct Dijkstra { long long n, m; void init(long long n) { this->n = n; for (long long i = 0; i < n; i++) G[i].clear(); edges.clear(); } void AddEdge(long long from, long long to, long long dist, long long ff) { edges.push_back((Edge){from, to, dist}); m = edges.size(); G[from].push_back(m - 1); id[m - 1] = ff; } void dijkstra(long long s) { priority_queue<HeapNode> Q; for (long long i = 0; i < n; i++) d[i] = INF; d[s] = 0; memset(done, 0, sizeof(done)); Q.push((HeapNode){0, s}); while (!Q.empty()) { HeapNode x = Q.top(); Q.pop(); long long u = x.u; if (done[u]) continue; done[u] = true; for (long long i = 0; i < G[u].size(); i++) { Edge& e = edges[G[u][i]]; if (d[e.to] > d[u] + e.dist) { d[e.to] = d[u] + e.dist; p[e.to] = G[u][i]; Q.push((HeapNode){d[e.to], e.to}); } } } } void GetShortestPaths(long long s, long long u) { dijkstra(s); if (d[u] >= INF) { d1 = d[u]; return; } for (long long i = u; i <= u; i++) { d1 = d[i]; paths1.clear(); long long t = i; paths1.push_back(t); while (t != s) { paths1.push_back(edges[p[t]].from); t = edges[p[t]].from; } reverse(paths1.begin(), paths1.end()); } } }; Dijkstra solver; Edge ei[maxM]; int main() { long long n, m, s, t; long long L; while (~scanf("%lld%lld%lld%lld%lld", &n, &m, &L, &s, &t)) { memset(er, 0, sizeof(er)); for (long long i = 0; i < m; i++) { scanf("%lld%lld%lld", &ei[i].from, &ei[i].to, &ei[i].dist); if (ei[i].dist == 0) er[i] = 1; } solver.init(n); for (long long i = 0; i < m; i++) { if (er[i]) ei[i].dist = L; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, 0); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, 0); } solver.GetShortestPaths(s, t); if (d1 < L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (long long i = 0; i < m; i++) printf("%lld %lld %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { solver.init(n); for (long long i = 0; i < m; i++) { if (er[i]) { ei[i].dist = 1; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, i + 1); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, i + 1); } else { solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, 0); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, 0); } } solver.GetShortestPaths(s, t); if (d1 > L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (long long i = 0; i < m; i++) printf("%lld %lld %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { for (;;) { long long add = L - d1; for (long long i = 0; i < paths1.size(); i++) { long long u = paths1[i]; bool ok = false; for (long long j = 0; j < G[u].size(); j++) { long long ee = G[u][j]; if (id[ee] && edges[ee].to == paths1[i + 1]) { edges[ee].dist += add; ei[id[ee] - 1].dist = edges[ee].dist; ok = true; break; } } if (ok) break; } solver.GetShortestPaths(s, t); if (d1 < L) continue; printf("YES\n"); for (long long i = 0; i < m; i++) { printf("%lld %lld %lld\n", ei[i].from, ei[i].to, ei[i].dist); } break; } } } } return 0; }
#include <bits/stdc++.h> using namespace std; int break_point() { char c; while ((c = getchar()) != '\n') ; return 0; } template <typename T> void read_integer(T &r) { bool sign = 0; r = 0; char c; while (1) { c = getchar(); if (c == '-') { sign = 1; break; } if (c != ' ' && c != '\n') { r = c - '0'; break; } } while (1) { c = getchar(); if (c == ' ' || c == '\n') break; r = r * 10 + (c - '0'); } if (sign) r = -r; } long long binpowmod(long long a, long long b, long long mod) { if (b == 0) return 1; long long c = binpowmod(a, b >> 1, mod); return (((c * c) % mod) * (b & 1 ? a : 1)) % mod; } long long binpow(long long a, long long b) { if (b == 0) return 1; long long c = binpow(a, b >> 1); return c * c * (b & 1 ? a : 1); } inline int getbit(int x, int b) { return (x >> b) & 1; } inline int setbit(int x, int b) { return x | (1 << b); } inline void _setbit(int &x, int b) { x = setbit(x, b); } inline long long setbit(long long x, int b) { return x | (1ll << b); } inline void _setbit(long long &x, int b) { x = setbit(x, b); } inline int unsetbit(int x, int b) { return x & (INT_MAX - (1 << b)); } inline void _unsetbit(int &x, int b) { x = unsetbit(x, b); } inline int countbit(int x) { x = x - ((x >> 1) & 0x55555555); x = (x & 0x33333333) + ((x >> 2) & 0x33333333); return ((x + (x >> 4) & 0xF0F0F0F) * 0x1010101) >> 24; } inline long long countbit(long long x) { return countbit(int(x & INT_MAX)) + countbit(int(x >> 32) & INT_MAX); } inline void printbit(int x, int len) { for (int i = len - 1; i >= 0; i--) printf("%d", getbit(x, i)); } int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } template <typename A, typename B> ostream &operator<<(ostream &stream, const pair<A, B> &p) { stream << "{" << p.first << "," << p.second << "}"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const vector<A> &v) { stream << "["; for (auto itr = v.begin(); itr != v.end(); itr++) stream << *itr << " "; stream << "]"; return stream; } template <typename A, typename B> ostream &operator<<(ostream &stream, const map<A, B> &v) { stream << "["; for (auto itr = v.begin(); itr != v.end(); itr++) stream << *itr << " "; stream << "]"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const set<A> &v) { stream << "["; for (auto itr = v.begin(); itr != v.end(); itr++) stream << *itr << " "; stream << "]"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const stack<A> &v) { stack<A> st = v; stream << "["; while (!st.empty()) { stream << st.top() << " "; st.pop(); } stream << "]"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const priority_queue<A> &v) { priority_queue<A> q = v; stream << "["; while (!q.empty()) { stream << q.top() << " "; q.pop(); } stream << "]"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const queue<A> &v) { queue<A> q = v; stream << "["; while (!q.empty()) { stream << q.front() << " "; q.pop(); } stream << "]"; return stream; } template <typename A> ostream &operator<<(ostream &stream, const deque<A> &v) { deque<A> q = v; stream << "["; while (!q.empty()) { stream << q.front() << " "; q.pop_front(); } stream << "]"; return stream; } void run(); int main() { srand(time(NULL)); run(); return 0; } const int mod = 1e9 + 7; const int N = 1003; struct Edge { int a, b; long long cost; Edge(int _a = 0, int _b = 0, long long _cost = 0) : a(_a), b(_b), cost(_cost) {} int to(int from) { return from == a ? b : a; } }; vector<int> g[N]; vector<Edge> e; vector<long long> d(N, LLONG_MAX); vector<int> p(N, -1); vector<bool> u(N * 100, false); long long dejkstra(int s, int t, int n, bool f = false) { std::fill(d.begin(), d.begin() + n, LLONG_MAX); priority_queue<pair<long long, int> > q; d[s] = 0; q.push({0, s}); while (!q.empty()) { int v = q.top().second; long long dist = -q.top().first; q.pop(); if (dist != d[v]) continue; for (int i = 0; i < ((int)g[v].size()); ++i) { auto edg = e[g[v][i]]; if (edg.cost == 0 && f) continue; long long cost = max(1ll, edg.cost); if (d[edg.to(v)] > d[v] + cost) { d[edg.to(v)] = d[v] + cost; p[edg.to(v)] = g[v][i]; q.push({-d[edg.to(v)], edg.to(v)}); } } } 0 ? (cout << "d[t]" << " = " << (d[t]) << "\n") : cout; return d[t]; } void run() { int n, m, L, s, t; scanf("%d%d", &n, &m); scanf("%d%d%d", &L, &s, &t); int a, b, c; for (int i = 0; i < m; ++i) { scanf("%d%d%d", &a, &b, &c); g[a].push_back(((int)e.size())); g[b].push_back(((int)e.size())); e.push_back(Edge(a, b, c)); } if (dejkstra(s, t, n, true) < L) { printf("NO\n"); return; } while (dejkstra(s, t, n) <= L) { int v = t; vector<int> vct; while (v != s) { int id = p[v]; if (e[id].cost == 0) { vct.push_back(id); u[id] = 1; } v = e[id].to(v); } if (vct.empty()) break; int need = L - d[t]; e[vct.back()].cost = 1 + need; } if (dejkstra(s, t, n) != L) { printf("NO\n"); return; } for (int i = 0; i < m; ++i) if (e[i].cost == 0) e[i].cost = u[i] ? 1ll : 1ll << 50; printf("YES\n"); for (int i = 0; i < m; ++i) printf("%d %d %lld\n", e[i].a, e[i].b, e[i].cost); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 4; struct Edge { int v, cost, i; }; vector<Edge> adj[N]; Edge parent[N]; long long dijkstra(int source, int destination) { long long dist[N]; memset(parent, -1, sizeof parent); memset(dist, 0x3f, sizeof dist); priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> q; q.push({0, source}); while (!q.empty()) { auto cur = q.top(); q.pop(); long long cost = cur.first; int node = cur.second; if (dist[node] < cost) continue; dist[node] = cost; for (auto child : adj[node]) { if (dist[child.v] > cost + child.cost) { parent[child.v] = {node, child.cost, child.i}; dist[child.v] = cost + child.cost; q.push({cost + child.cost, child.v}); } } } return dist[destination]; } int u[N], v[N], c[N]; bool erased[N]; int zeros(int t) { int node = t; int ret = 0; while (~parent[node].v) { if (erased[parent[node].i]) ++ret; node = parent[node].v; } return ret; } int main() { int n, m, l, s, t; scanf("%d %d %d %d %d", &n, &m, &l, &s, &t); for (int i = 0; i < m; ++i) { scanf("%d %d %d", u + i, v + i, c + i); erased[i] = c[i] == 0; if (!c[i]) c[i] = 1; adj[u[i]].push_back({v[i], c[i], i}); adj[v[i]].push_back({u[i], c[i], i}); } long long dis; int temp = 1e3; while (temp--) { dis = dijkstra(s, t); if (dis == l) break; if (dis > l) { puts("NO"); return 0; } int node = t; bool first = false; bool leave[N] = {}; while (~parent[node].v) { if (erased[parent[node].i]) { leave[parent[node].i] = true; if (!first++) c[parent[node].i] = max(1, c[parent[node].i] + l - (int)dis); } node = parent[node].v; } for (int i = 0; i < m; ++i) if (erased[i] && !leave[i]) c[i] = 2e9; for (int i = 0; i < n; ++i) for (auto &child : adj[i]) child.cost = c[child.i]; } if (dis != l) { puts("NO"); } else { puts("YES"); for (int i = 0; i < m; ++i) printf("%d %d %d\n", u[i], v[i], c[i]); } return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") using namespace std; const long long nmax = 1e3 + 5; const long long mod = 1e9 + 7; const long long mod1 = 998244353; const long long inf = 1e18; long long n, m, L, s, t, dist[1005], dist1[1005], tab[1005][1005], pop[1005][1005], tab1[1005][1005]; vector<pair<long long, long long>> nod[1005]; vector<long long> road[1005]; void djkstra(long long s) { multiset<pair<long long, long long>> dadoamne; for (auto it : nod[s]) { dadoamne.insert({it.second, it.first}); dist[it.first] = it.second; } while (dadoamne.empty() == false) { auto it = dadoamne.begin(); for (auto it1 : nod[it->second]) { if (((it->first) + it1.second) < dist[it1.first]) { if (dist[it1.first] != inf) dadoamne.erase(dadoamne.find({dist[it1.first], it1.first})); dist[it1.first] = (it->first) + it1.second; dadoamne.insert({dist[it1.first], it1.first}); } } dadoamne.erase(it); } } void djkstra2(long long s) { multiset<pair<long long, long long>> dadoamne; for (long long i = 0; i < n; i++) dist1[i] = inf; dist1[s] = 0; for (auto it : nod[s]) { dadoamne.insert({it.second, it.first}); dist1[it.first] = it.second; road[it.first].push_back(s); } while (dadoamne.empty() == false) { auto it = dadoamne.begin(); for (auto it1 : nod[it->second]) { if (((it->first) + it1.second) < dist1[it1.first]) { if (dist1[it1.first] != inf) { dadoamne.erase(dadoamne.find({dist1[it1.first], it1.first})); road[it1.first].pop_back(); } dist1[it1.first] = (it->first) + it1.second; dadoamne.insert({dist1[it1.first], it1.first}); road[it1.first].push_back(it->second); } } dadoamne.erase(it); } } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> L >> s >> t; for (long long i = 0; i < n; i++) dist[i] = inf; dist[s] = 0; for (long long i = 1; i <= m; i++) { long long x, y, z; cin >> x >> y >> z; if (z == 0) { nod[x].push_back({y, inf}); nod[y].push_back({x, inf}); tab[x][y] = 1; tab[y][x] = 1; } else { nod[x].push_back({y, z}); nod[y].push_back({x, z}); } } djkstra(s); for (long long i = 0; i < n; i++) { for (long long j = 0; j < nod[i].size(); j++) { if (nod[i][j].second == inf) nod[i][j].second = 1; } } if (dist[t] < L) return cout << "NO", 0; for (long long i = 0; i < n; i++) dist1[i] = inf; dist1[s] = 0; djkstra2(s); if (dist1[t] > L) return cout << "NO", 0; long long curr = t; while (curr != s) { long long y = road[curr][0]; if (tab[curr][y] == 1) { tab1[curr][y] = 1; tab1[y][curr] = 1; } curr = y; } for (long long i = 0; i < n; i++) { for (long long j = 0; j < nod[i].size(); j++) { if (tab[i][nod[i][j].first] == 1 && tab1[i][nod[i][j].first] == 0) nod[i][j].second = inf; } } for (long long i = 0; i < n; i++) { for (long long j = 0; j < nod[i].size(); j++) { if (dist1[t] == L) break; if (tab[i][nod[i][j].first] == 1 && tab1[i][nod[i][j].first] == 1) { nod[i][j].second += (L - dist1[t]); for (long long r = 0; r < nod[nod[i][j].first].size(); r++) { if (nod[nod[i][j].first][r].first == i) nod[nod[i][j].first][r].second += (L - dist1[t]); } djkstra2(s); } } if (dist1[t] == L) break; } cout << "YES" << '\n'; for (long long i = 0; i < n; i++) { for (long long j = 0; j < nod[i].size(); j++) { if (pop[i][nod[i][j].first] == 0) cout << i << ' ' << nod[i][j].first << ' ' << nod[i][j].second << '\n'; pop[i][nod[i][j].first] = 1; pop[nod[i][j].first][i] = 1; } } }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1010; const int N = 1e5 + 10; struct node { int v; long long cost; node(int vi = 0, long long ci = 0) : v(vi), cost(ci) {} }; vector<node> vec[2][MAXN]; void addedge(int id, int u, int v, long long w) { vec[id][u].push_back(node(v, w)); } int vis[MAXN]; long long dist[MAXN]; int L[N], R[N]; long long V[MAXN][MAXN]; int fa[N]; bool spfa(int id, int start, int n) { memset(vis, 0, sizeof(vis)); for (int i = 0; i < n; i++) dist[i] = 0x3f3f3f3f, fa[i] = i; vis[start] = 1, dist[start] = 0; queue<int> que; while (!que.empty()) que.pop(); que.push(start); while (!que.empty()) { int u = que.front(); que.pop(); vis[u] = 0; for (int i = 0; i < vec[id][u].size(); i++) { int v = vec[id][u][i].v; long long w = V[u][v]; if (dist[v] > dist[u] + abs(w)) { dist[v] = dist[u] + abs(w); fa[v] = u; if (!vis[v]) { vis[v] = 1; que.push(v); } } } } return true; } void FUZHI(int n, int m, int s, int t, int l) { int x = t, flag = 0; while (1) { int y = fa[x]; if (V[x][y] == -1) { V[x][y] = V[y][x] = -2; } if (y == fa[y]) break; x = y; } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (V[i][j] == -1) V[i][j] = 0x3f3f3f3f; } } x = t; while (1) { int y = fa[x]; if (V[x][y] == -2) { V[x][y] = V[y][x] = -1; } if (y == fa[y]) break; x = y; } } bool solve(int n, int s, int t, int l) { spfa(0, s, n); int x = t, flag = 0; if (dist[t] == l) return true; while (1) { int y = fa[x]; if (!flag && V[x][y] < 0) { long long w = abs(V[x][y]); V[x][y] = V[y][x] = w + l - dist[t]; flag = 1; } if (y == fa[y]) break; x = y; } return false; } int main() { int n, m, l, s, t; scanf("%d%d%d%d%d", &n, &m, &l, &s, &t); for (int i = 0; i < m; i++) { int u, v; long long w; scanf("%d%d%I64d", &u, &v, &w); if (w) { addedge(1, u, v, w); addedge(1, v, u, w); } if (w == 0) w = -1; addedge(0, u, v, w); addedge(0, v, u, w); L[i] = u, R[i] = v; V[u][v] = V[v][u] = w; } spfa(1, s, n); if (dist[t] < l) { printf("NO\n"); return 0; } if (dist[t] == l) { printf("YES\n"); for (int i = 0; i < m; i++) { int u = L[i], v = R[i]; long long w = V[u][v]; if (w == -1) w = 0x3f3f3f3f; printf("%d %d %I64d\n", u, v, w); } return 0; } spfa(0, s, n); FUZHI(n, m, s, t, l); if (dist[t] > l) { printf("NO\n"); return 0; } solve(n, s, t, l); while (!solve(n, s, t, l)) solve(n, s, t, l); printf("YES\n"); for (int i = 0; i < m; i++) { int u = L[i], v = R[i]; long long w = V[u][v]; if (w < 0) w = -w; printf("%d %d %I64d\n", u, v, w); } return 0; }
#include <bits/stdc++.h> using namespace std; int Day12[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; int prime100[] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103}; template <typename T> inline bool isLeap(T y) { return (y % 400 == 0) || (y % 100 ? y % 4 == 0 : false); } template <typename T> inline T GCD(T a, T b) { a = abs(a); b = abs(b); if (a < b) swap(a, b); while (b) { a = a % b; swap(a, b); } return a; } template <typename T> inline T LCM(T x, T y) { T tp = GCD(x, y); if ((x / tp) * 1. * y > 9e18) return 9e18; return (x / tp) * y; } template <typename T> inline T BIGMOD(T A, T B, T M = 1000000007) { T ret = 1; while (B) { if (B & 1) ret = (ret * A) % M; A = (A * A) % M; B = B >> 1; } return ret; } template <typename T> inline T BigMod(T A, T B, T M) { T ret = 1; while (B) { if (B & 1) ret = (ret * A) % M; A = (A * A) % M; B = B >> 1; } return ret; } long long int MySqrt(long long int n) { long long int p = sqrt(n); if ((p + 1) * (p + 1) <= n) return p + 1; else if (p * p <= n) return p; else return p - 1; } long long int MyPow(long long int x, long long int n) { if (n == 0) return 1; else if (n % 2 == 0) return MyPow(x * x, n / 2); else return x * MyPow(x * x, ((n - 1) / 2)); } long long int modInverse(long long int n) { return BIGMOD(n, (long long int)1000000007 - 2) % 1000000007; } long long BIG = 10000000000; std::vector<pair<int, int>> G[1005]; std::vector<int> V; long long Dis[1005]; int n, m, src, ter; struct Node { int U, V, W; } Edge[100005]; void DJK() { for (int i = 0; i <= n; i++) Dis[i] = BIG; priority_queue<pair<int, int>> PQ; PQ.push(make_pair(0, src)); Dis[src] = 0; while (!PQ.empty()) { int u = PQ.top().second; long long taka = PQ.top().first * (-1); PQ.pop(); int sz = G[u].size(); for (int i = 0; i < sz; i++) { int v = G[u][i].second; long long ok = G[u][i].first; if (Dis[u] + ok < Dis[v] && ok > 0) { Dis[v] = Dis[u] + ok; PQ.push(make_pair(Dis[v] * (-1), v)); } } } } int main(int argc, char const *argv[]) { long long L; scanf("%d%d", &(n), &(m)); scanf("%lld", &(L)); scanf("%d%d", &(src), &(ter)); for (int i = 0; i < m; i++) { int u, v; long long w; cin >> u >> v >> w; G[u].push_back(make_pair(w, v)); G[v].push_back(make_pair(w, u)); int x = min(u, v); int y = max(u, v); Edge[i].U = x, Edge[i].V = y, Edge[i].W = w; if (w == 0) V.push_back(i); } DJK(); if (Dis[ter] < L) { printf("NO\n"); exit(0); } int sz = V.size(); for (int i = 0; i < sz; i++) { int index = V[i]; if (Dis[ter] <= L) { Edge[index].W = BIG; continue; } int u = Edge[index].U; int v = Edge[index].V; int w = 1; G[u].push_back(make_pair(w, v)); G[v].push_back(make_pair(w, u)); DJK(); if (Dis[ter] > L) { Edge[index].W = 1; } else { Edge[index].W = (L - Dis[ter]) + 1; } } DJK(); if (Dis[ter] <= L) { printf("YES\n"); for (int i = 0; i < m; i++) printf("%d %d %d\n", Edge[i].U, Edge[i].V, Edge[i].W); } else printf("NO\n"); }
#include <bits/stdc++.h> using namespace std; int n, m, asked, s, t; struct edge { int cost, to, rev; bool mark; }; vector<edge> g[1010]; struct node { int x; long long y; }; vector<node> p; bool operator>(node a, node b) { return a.y > b.y; }; priority_queue<node, vector<node>, greater<node> > q; long long d[1010]; int last[1010]; void dij(int s, int t) { memset(d, -1, sizeof(d)); memset(last, -1, sizeof(last)); node newnode, nownode; d[s] = 0; newnode.x = s; newnode.y = d[s]; q.push(newnode); while (!q.empty()) { nownode = q.top(); q.pop(); if (nownode.y != d[nownode.x]) continue; for (int i = 0; i < g[nownode.x].size(); i++) if (nownode.y + g[nownode.x][i].cost < d[g[nownode.x][i].to] || d[g[nownode.x][i].to] == -1) { d[g[nownode.x][i].to] = nownode.y + g[nownode.x][i].cost; last[g[nownode.x][i].to] = nownode.x; newnode.x = g[nownode.x][i].to; newnode.y = d[g[nownode.x][i].to]; q.push(newnode); } } } void print() { cout << "YES" << endl; for (int i = 0; i < p.size(); i++) cout << p[i].x << ' ' << g[p[i].x][int(p[i].y)].to << ' ' << g[p[i].x][int(p[i].y)].cost << endl; } int main() { cin >> n >> m >> asked >> s >> t; int i, x, y; long long z; edge newedge; node newnode; for (i = 0; i < m; i++) { cin >> x >> y >> z; if (z != 0) { newedge.cost = z; newedge.mark = 0; } else { newedge.cost = 1; newedge.mark = 1; } newedge.to = y; g[x].push_back(newedge); g[x][g[x].size() - 1].rev = g[y].size(); newedge.to = x; g[y].push_back(newedge); g[y][g[y].size() - 1].rev = g[x].size() - 1; newnode.x = x; newnode.y = g[x].size() - 1; p.push_back(newnode); } long long tmp; int cnt; while (1) { dij(s, t); x = t; tmp = asked - d[t]; cnt = 0; if (tmp == 0) { print(); break; } if (tmp < 0) { cout << "NO\n"; return 0; } while (x != s && tmp != 0) { if (last[x] == -1) break; for (i = 0; i < g[x].size(); i++) if (g[x][i].to == last[x]) { if (!g[x][i].mark) break; g[x][i].cost += tmp; tmp = 0; if (g[x][i].cost > 1000000000) { tmp = g[x][i].cost - 1000000000; g[x][i].cost = 1000000000; } g[g[x][i].to][g[x][i].rev].cost = g[x][i].cost; cnt++; break; } x = last[x]; } if (tmp > 0 || cnt == 0) { cout << "NO\n"; return 0; } } }
#include <bits/stdc++.h> using namespace std; struct node { int a; long long d; node() {} node(int _a, long long _d) : a(_a), d(_d) {} bool operator<(const node &o) const { return d > o.d; } }; struct edge { int a, b; long long d; edge() {} edge(int aa, int bb, int dd) : a(aa), b(bb), d(dd) {} }; vector<node> table[1005]; vector<edge> tt, in; long long ee[1005][1005]; long long dist[1005]; long long maxint = 2000000000; bool spec[1005][1005]; int done[1005]; int from[1005]; int n, m; priority_queue<node> Q; void dijk1(int s) { while (!Q.empty()) Q.pop(); for (int i = 0; i < n; i++) { dist[i] = maxint; done[i] = 0; from[i] = -1; } dist[s] = 0; from[s] = s; Q.push(node(s, 0)); node tmp; int cnt = 0; int w, u; while (!Q.empty() && cnt < n) { if (done[Q.top().a] == 1) { Q.pop(); continue; } tmp = Q.top(); Q.pop(); u = tmp.a; for (int i = 0; i < table[u].size(); i++) { w = table[u][i].a; if (dist[w] > dist[u] + ee[u][w]) { from[w] = u; dist[w] = dist[u] + ee[u][w]; Q.push(node(w, dist[w])); } } done[u] = 1; cnt++; } } int main() { int L, s, t; scanf("%d%d%d%d%d", &n, &m, &L, &s, &t); int a, b, c; for (int i = 0; i < m; i++) { scanf("%d%d%d", &a, &b, &c); if (c == 0) { tt.push_back(edge(a, b, c)); spec[a][b] = true; spec[b][a] = true; continue; } in.push_back(edge(a, b, c)); ee[a][b] = c; ee[b][a] = c; table[a].push_back(node(b, c)); table[b].push_back(node(a, c)); } dijk1(s); if (dist[t] < L) { printf("NO"); return 0; } else if (dist[t] == L) { printf("YES\n"); for (int i = 0; i < in.size(); i++) { printf("%d %d %I64d \n", in[i].a, in[i].b, in[i].d); } for (int i = 0; i < tt.size(); i++) { printf("%d %d 1\n", tt[i].a, tt[i].b); } return 0; } for (int i = 0; i < tt.size(); i++) { a = tt[i].a; b = tt[i].b; ee[a][b] = 1; ee[b][a] = 1; table[a].push_back(node(b, 1)); table[b].push_back(node(a, 1)); } dijk1(s); if (dist[t] > L) { printf("NO"); return 0; } for (int i = 0; i < tt.size(); i++) { a = tt[i].a; b = tt[i].b; ee[a][b] = L + 1; ee[b][a] = L + 1; } a = t; while (a != s) { b = from[a]; if (spec[a][b]) { ee[a][b] = 1; ee[b][a] = 1; } a = b; } long long sum; while (dist[t] < L) { dijk1(s); if (dist[t] == L) break; a = t; while (a != s) { b = from[a]; if (spec[a][b]) { ee[a][b] += L - dist[t]; ee[b][a] += L - dist[t]; break; } a = b; } } printf("YES\n"); for (int i = 0; i < in.size(); i++) { printf("%d %d %I64d \n", in[i].a, in[i].b, in[i].d); } for (int i = 0; i < tt.size(); i++) { printf("%d %d %I64d \n", tt[i].a, tt[i].b, ee[tt[i].a][tt[i].b]); } }
#include <bits/stdc++.h> using namespace std; void Read(int &n) { int sign = 1; n = 0; char c; do { c = getchar(); } while (!isdigit(c) && c != '-'); if (c == '-') { c = getchar(); sign = -1; } do { n = n * 10 + c - 48; c = getchar(); } while (isdigit(c)); n *= sign; } void Read(long long &n) { int sign = 1; n = 0; char c; do { c = getchar(); } while (!isdigit(c) && c != '-'); if (c == '-') { c = getchar(); sign = -1; } do { n = n * 10ll + c - 48; c = getchar(); } while (isdigit(c)); n *= sign; } void Write(int n) { if (n == 0) putchar('0'); else if (n < 0) putchar('-'), n = -n; char C[30]; int d = 0; while (n) { C[++d] = (n % 10) + 48; n /= 10; } for (int i = d; i >= 1; --i) putchar(C[i]); } void Write(long long n) { if (n == 0) putchar('0'); else if (n < 0) putchar('-'), n = -n; char C[30]; int d = 0; while (n) { C[++d] = (n % 10ll) + 48; n /= 10ll; } for (int i = d; i >= 1; --i) putchar(C[i]); } const int maxn = 1005; const int maxm = 5e6 + 5; const long long INFL = 1e18; struct Edge { int u, v, w; Edge() {} Edge(int u, int v, int w) : u(u), v(v), w(w) {} } E[maxm]; vector<pair<int, int> > adj[maxn]; int n, m, L, s, t; int T[maxn]; long long d[maxn]; long long dist[maxn][maxn]; long long Pre_Dijkstra() { set<pair<long long, int> > S; for (int i = 0; i <= n; ++i) d[i] = INFL; d[s] = 0; S.clear(); S.insert(pair<long long, int>(0, s)); while (S.size()) { pair<long long, int> temp = *S.begin(); S.erase(S.begin()); int u = temp.second; for (int k = 0; k < adj[u].size(); ++k) { int v = adj[u][k].first; if (dist[u][v] == -1) continue; int w = abs(dist[u][v]); if (d[v] > d[u] + (long long)w) { S.erase(pair<long long, int>(d[v], v)); d[v] = d[u] + (long long)w; S.insert(pair<long long, int>(d[v], v)); } } } return d[t]; } long long Dijkstra() { set<pair<long long, int> > S; S.clear(); for (int i = 0; i <= n; ++i) d[i] = INFL; d[s] = 0; S.insert(pair<long long, int>(d[s], s)); T[s] = 0; while (S.size()) { pair<long long, int> temp = *S.begin(); S.erase(S.begin()); int u = temp.second; for (int k = 0; k < adj[u].size(); ++k) { int v = adj[u][k].first; int w = abs(dist[u][v]); if (d[v] > d[u] + (long long)w) { S.erase(pair<long long, int>(d[v], v)); T[v] = u; d[v] = d[u] + (long long)w; S.insert(pair<long long, int>(d[v], v)); } } } int v = t; while (T[v] != 0) { if (dist[T[v]][v] < 0) { dist[T[v]][v] = -2; dist[v][T[v]] = -2; } v = T[v]; } for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (dist[i][j] == -1) dist[i][j] = INFL; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (dist[i][j] == -2) dist[i][j] = -1; return d[t]; } int Pow[10]; int Count(int v) { int d = 0; while (v) d++, v /= 10; return d; } bool Relax() { set<pair<long long, int> > S; S.clear(); for (int i = 1; i <= n; ++i) d[i] = INFL; d[s] = 0; T[s] = 0; S.insert(pair<long long, int>(0, s)); while (S.size()) { pair<long long, int> temp = *S.begin(); S.erase(S.begin()); int u = temp.second; for (int k = 0; k < adj[u].size(); ++k) { int v = adj[u][k].first; long long w = abs(dist[u][v]); if (d[v] > d[u] + w) { S.erase(pair<long long, int>(d[v], v)); d[v] = d[u] + w; T[v] = u; S.insert(pair<long long, int>(d[v], v)); } } } if (d[t] == L) return 1; int v = t; bool meet = 0; while (T[v] != 0) { int u = T[v]; if (!meet && dist[u][v] < 0) { dist[u][v] = abs(dist[u][v]) + L - d[t]; dist[v][u] = abs(dist[v][u]) + L - d[t]; meet = 1; } if (meet) break; v = T[v]; } return 0; } int main() { Read(n); Read(m); Read(L); Read(s); Read(t); s++; t++; for (int i = 1; i <= m; ++i) { int u, v, w; Read(u); Read(v); Read(w); u++; v++; E[i] = Edge(u, v, w); dist[u][v] = w; dist[v][u] = w; if (w == 0) { dist[u][v] = -1; dist[v][u] = -1; } adj[u].push_back(pair<int, int>(v, w)); adj[v].push_back(pair<int, int>(u, w)); } long long SPath1 = Pre_Dijkstra(); if (SPath1 < L) { puts("NO"); return 0; } if (SPath1 == L) { puts("YES"); for (int i = 1; i <= m; ++i) { Write(E[i].u - 1); putchar(' '); Write(E[i].v - 1); putchar(' '); if (E[i].w == 0) Write(INFL); else Write(E[i].w); putchar('\n'); } return 0; } long long SPath2 = Dijkstra(); if (SPath2 > L) { puts("NO"); return 0; } puts("YES"); bool k = Relax(); while (!k) k = Relax(); for (int i = 1; i <= m; ++i) { Write(E[i].u - 1); putchar(' '); Write(E[i].v - 1); putchar(' '); Write(abs(dist[E[i].u][E[i].v])); putchar('\n'); } return 0; }
#include <bits/stdc++.h> using namespace std; struct Node { int uu, vv; long long dis; } v[20005], temp; int flag[10005], fm = 0, n, m, root[1005], fa[20005], s, t; long long ans[1005]; bool life[1005]; queue<int> q; void go() { int now, tt; memset(ans, 0, sizeof(ans)); ans[s] = 1; q.push(s); life[s] = 1; while (!q.empty()) { now = q.front(); q.pop(); tt = root[now]; life[now] = 0; while (tt) { if (ans[now] + v[tt].dis < ans[v[tt].vv] || !ans[v[tt].vv]) { ans[v[tt].vv] = ans[now] + v[tt].dis; if (!life[v[tt].vv]) { life[v[tt].vv] = 1; q.push(v[tt].vv); } } tt = fa[tt]; } } return; } void ok() { printf("YES\n"); for (int i = 1; i <= m; i++) { printf("%d %d %I64d\n", v[i].uu, v[i].vv, v[i].dis); } } int main() { long long L, dis; int uu, vv; int nl = 1, nr = L, mid; cin >> n >> m >> L >> s >> t; for (int i = 1; i <= m; i++) { scanf("%d%d%I64d", &uu, &vv, &dis); temp.uu = uu; temp.vv = vv; temp.dis = dis; v[i] = temp; if (dis == 0) flag[fm++] = i; fa[i] = root[uu]; root[uu] = i; temp.uu = vv; temp.vv = uu; v[i + m] = temp; fa[i + m] = root[vv]; root[vv] = i + m; } L++; for (int i = 0; i < fm; i++) v[flag[i]].dis = v[flag[i] + m].dis = 1; go(); if (ans[t] == L) ok(); else { if (ans[t] > L) printf("NO\n"); else { for (int i = 0; i < fm; i++) v[flag[i]].dis = v[flag[i] + m].dis = L; go(); if (ans[t] == L) ok(); else { if (ans[t] < L) printf("NO\n"); else { for (int i = 0; i < fm; i++) { v[flag[i]].dis = v[flag[i] + m].dis = 1; go(); if (ans[t] <= L) { if (ans[t] == L) ok(); else { nl = 1; nr = L; while (1) { mid = (nl + nr) / 2; v[flag[i]].dis = v[flag[i] + m].dis = mid; go(); if (ans[t] == L) { ok(); break; } else { if (ans[t] < L) nl = mid; else nr = mid; } } } break; } } } } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = int(1e3) + 10; int n, m, s, t; long long int L; vector<int> v[N]; vector<pair<int, pair<int, long long int> > > edge; vector<long long int> w[N]; long long int dist[N]; int p[N]; long long int mw[N][N]; map<pair<int, int>, long long int> cnt; bool ok = false; long long int INF = 1e18; void solve(long long int k) { for (int i = 0; i < n; i++) dist[i] = INF; memset(p, -1, sizeof p); priority_queue<pair<long long int, int> > pq; pq.push({0LL, s}); dist[s] = 0LL; p[s] = s; while (!pq.empty()) { int u = pq.top().second; pq.pop(); if (u == t) break; for (int i = 0; i < v[u].size(); i++) { int adj = v[u][i]; long long int peso = mw[u][adj]; if (peso == 0LL) peso = k; if (dist[adj] > dist[u] + peso) { dist[adj] = dist[u] + peso; pq.push({-dist[adj], adj}); p[adj] = u; } } } } int main() { scanf("%d %d %lld %d %d", &n, &m, &L, &s, &t); for (int i = 0; i < m; i++) { int x, y; long long int z; scanf("%d %d %lld", &x, &y, &z); v[x].push_back(y); w[x].push_back(z); v[y].push_back(x); w[y].push_back(z); edge.push_back({x, {y, z}}); mw[x][y] = mw[y][x] = z; } solve(0); if (dist[t] > L) { printf("NO\n"); return 0; } solve(1); if (dist[t] > L) { printf("NO\n"); return 0; } long long int l = 1, r = L; for (int k = 0; k < 200; k++) { long long int mid = (l + r) / 2; solve(mid); if (dist[t] <= L) { l = mid; } else r = mid; } solve(l); long long int ans = dist[t]; for (int i = t; i != s; i = p[i]) { int x = i; int y = p[i]; long long int peso = mw[x][y]; if (!peso && !ok) { ok = true; cnt[{x, y}] = cnt[{y, x}] = (L - ans) + l; mw[x][y] = mw[y][x] = (L - ans) + l; } else if (!peso && ok) { cnt[{x, y}] = cnt[{y, x}] = l; mw[x][y] = mw[y][x] = l; } else { cnt[{x, y}] = cnt[{y, x}] = peso; } } solve(L + 1); if (dist[t] != L) { printf("NO\n"); return 0; } printf("YES\n"); for (int i = 0; i < m; i++) { int x = edge[i].first; int y = edge[i].second.first; long long int z = mw[x][y]; if (cnt.find({x, y}) == cnt.end()) { if (z == 0) { printf("%d %d %lld", x, y, L + 1); } else { printf("%d %d %lld", x, y, z); } } else if (cnt.find({x, y}) != cnt.end()) { printf("%d %d %lld", x, y, cnt[{x, y}]); } printf("\n"); } return 0; }
#include <bits/stdc++.h> const long long int INF = 1e18; int n, m, s, t, vis[1010], path[1010], err; long long int L, d[1010], d2[1010]; int w[1010][1010]; void dijk() { int cnt = 0, u; long long int mn; for (int i = 0; i < n; i++) d[i] = INF; d[s] = 0; while (cnt < n) { mn = INF; for (int i = 0; i < n; i++) if (vis[i] != 1 && d[i] < mn) { mn = d[i]; u = i; } vis[u] = 1, cnt++; for (int i = 0; i < n; i++) if (w[u][i] > 0 && d[i] > d[u] + w[u][i]) d[i] = d[u] + w[u][i]; } return; } void dijk2() { int cnt = 0, u; long long int mn; for (int i = 0; i < n; i++) d2[i] = INF, vis[i] = 0; d2[s] = 0; while (cnt < n) { mn = INF; for (int i = 0; i < n; i++) if (vis[i] != 1 && d2[i] < mn) { mn = d2[i]; u = i; } vis[u] = 1, cnt++; for (int i = 0; i < n; i++) { if (w[u][i] > 0 && d2[i] > d2[u] + w[u][i]) d2[i] = d2[u] + w[u][i], path[i] = u; if (w[u][i] == -1 && d2[i] > d2[u] + 1) d2[i] = d2[u] + 1, path[i] = u; } } return; } int main() { scanf("%d%d%I64d%d%d", &n, &m, &L, &s, &t); for (int i = 0; i < m; i++) { int u, v, wt; scanf("%d%d%d", &u, &v, &wt); if (wt != 0) w[u][v] = wt, w[v][u] = wt; else w[u][v] = -1, w[v][u] = -1; } dijk(); dijk2(); if (d[t] < L || d2[t] > L) printf("NO"); else { int track = t; long long int tot = L; while (track != s) { int u = track, v = path[track]; if (w[u][v] == -1) { if (tot - d[v] > INF) { err = -1; break; } if (tot > d[v]) w[u][v] = tot - d[v], w[v][u] = tot - d[v]; else w[u][v] = 1, w[v][u] = 1; } track = path[track]; tot -= w[u][v]; } if (err == -1) printf("NO"); else { printf("YES\n"); for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { if (w[i][j] > 0) printf("%d %d %d\n", i, j, w[i][j]); if (w[i][j] == -1) printf("%d %d %d\n", i, j, L + 1); } } } } return 0; }
#include <bits/stdc++.h> using namespace std; struct A { int fr, to, th; long long d; A() {} A(int a, int b, long long c, int d) : fr(a), to(b), d(c), th(d) {} }; const int N = 1003; vector<A> edge, G[N], ze, all, ori; int from[N]; long long dis[N]; void SPFA(int x) { queue<int> q; q.push(x); for (int i = 0; i < N; ++i) dis[i] = 1e15; dis[x] = 0; bool inq[N] = {}; while (!q.empty()) { int fr = q.front(); q.pop(); inq[fr] = 0; for (A e : G[fr]) { if (dis[e.to] > dis[e.fr] + all[e.th].d) { dis[e.to] = dis[e.fr] + all[e.th].d; if (!inq[e.to]) { inq[e.to] = 1; q.push(e.to); } from[e.to] = e.th; } } } } int main() { int n, m, s, t; long long L; scanf("%d%d%lld%d%d", &n, &m, &L, &s, &t); for (int i = 0, x, y; i < m; ++i) { long long d; scanf("%d%d%lld", &x, &y, &d); if (!d) ze.push_back(A(x, y, d, i)); else edge.push_back(A(x, y, d, i)); all.push_back(A(x, y, d, i)); ori.push_back(A(x, y, d, i)); } for (auto e : edge) { G[e.fr].push_back(e); G[e.to].push_back(A(e.to, e.fr, e.d, e.th)); } SPFA(s); if (dis[t] < L) { puts("NO"); return 0; } if (dis[t] == L) { puts("YES"); for (auto e : all) { printf("%d %d %lld\n", e.fr, e.to, e.d ? e.d : (long long)(1e15)); } return 0; } for (int i = 0; i < ze.size(); ++i) { ze[i].d = 1; A e = ze[i]; all[e.th].d = 1; G[e.fr].push_back(e); G[e.to].push_back(A(e.to, e.fr, e.d, e.th)); } SPFA(s); if (dis[t] > L) { puts("NO"); return 0; } while (dis[t] != L) { vector<int> use; int p = t; while (p != s) { if (!ori[from[p]].d) { use.push_back(from[p]); } A e = ori[from[p]]; p = p == e.fr ? e.to : e.fr; } long long di = (L - dis[t]) / use.size(), mo = (L - dis[t]) % use.size(); all[use[0]].d += di + mo; for (int i = 1; i < use.size(); ++i) all[use[i]].d += di; SPFA(s); } puts("YES"); for (auto e : all) { printf("%d %d %lld\n", e.fr, e.to, e.d); } }
#include <bits/stdc++.h> using namespace std; const long long INF = 10000000000000000; const int maxN = 1000 + 10; const int maxM = 20000 + 10; long long d1; bool er[maxM]; vector<int> paths1; struct Edge { int from, to; long long dist; }; struct HeapNode { long long d; int u; bool operator<(const HeapNode& rhs) const { return d > rhs.d; } }; vector<Edge> edges; vector<int> G[maxN]; bool done[maxN]; long long d[maxN]; int p[maxM]; int id[maxM]; struct Dijkstra { int n, m; void init(int n) { this->n = n; for (int i = 0; i < n; i++) G[i].clear(); edges.clear(); } void AddEdge(int from, int to, long long dist, int ff) { edges.push_back((Edge){from, to, dist}); m = edges.size(); G[from].push_back(m - 1); id[m - 1] = ff; } void dijkstra(int s) { priority_queue<HeapNode> Q; for (int i = 0; i < n; i++) d[i] = INF; d[s] = 0; memset(done, 0, sizeof(done)); Q.push((HeapNode){0, s}); while (!Q.empty()) { HeapNode x = Q.top(); Q.pop(); int u = x.u; if (done[u]) continue; done[u] = true; for (int i = 0; i < G[u].size(); i++) { Edge& e = edges[G[u][i]]; if (d[e.to] > d[u] + e.dist) { d[e.to] = d[u] + e.dist; p[e.to] = G[u][i]; Q.push((HeapNode){d[e.to], e.to}); } } } } void GetShortestPaths(int s, int u) { dijkstra(s); if (d[u] >= INF) { d1 = d[u]; return; } for (int i = u; i <= u; i++) { d1 = d[i]; paths1.clear(); int t = i; paths1.push_back(t); while (t != s) { paths1.push_back(edges[p[t]].from); t = edges[p[t]].from; } reverse(paths1.begin(), paths1.end()); } } }; Dijkstra solver; Edge ei[10000 + 10]; int main() { int n, m, s, t; long long L; while (~scanf("%d%d%lld%d%d", &n, &m, &L, &s, &t)) { memset(er, 0, sizeof(er)); for (long long i = 0; i < m; i++) { scanf("%d%d%lld", &ei[i].from, &ei[i].to, &ei[i].dist); if (ei[i].dist == 0) er[i] = 1; } solver.init(n); for (int i = 0; i < m; i++) { if (er[i]) ei[i].dist = L; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, 0); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, 0); } solver.GetShortestPaths(s, t); if (d1 < L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (long long i = 0; i < m; i++) printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { solver.init(n); for (int i = 0; i < m; i++) { if (er[i]) { ei[i].dist = 1; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, i + 1); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, i + 1); } else { solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist, 0); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist, 0); } } solver.GetShortestPaths(s, t); if (d1 > L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (int i = 0; i < m; i++) printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { for (;;) { long long add = L - d1; for (int i = 0; i < paths1.size(); i++) { int u = paths1[i]; bool ok = false; for (int j = 0; j < G[u].size(); j++) { int ee = G[u][j]; if (id[ee] && edges[G[u][j]].to == paths1[i + 1]) { edges[ee].dist += add; ei[id[ee] - 1].dist = edges[ee].dist; ok = true; break; } } if (ok) break; } solver.GetShortestPaths(s, t); if (d1 < L) continue; printf("YES\n"); for (int i = 0; i < m; i++) { printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); } break; } } } } return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v; int w; int other(int node) { return (u == node) ? v : u; } }; int n, m, second, e; int used[1003], parent[1003]; edge E[10004]; int dis[1003]; int L; vector<int> g[1003]; void djkstra(int second, int e) { priority_queue<pair<int, int>, vector<pair<int, int> >, greater<pair<int, int> > > Q; for (int i = 0; i < n; i++) { dis[i] = (2000000000 >> 1) + 1; used[i] = 0; } dis[second] = 0; Q.push(make_pair(0, second)); while (!Q.empty() && (!used[e])) { pair<int, int> cur = Q.top(); Q.pop(); used[cur.second] = 1; for (int i = 0; i < g[cur.second].size(); i++) { int idx = g[cur.second][i]; int to = E[idx].other(cur.second); if (!used[to] && E[idx].w + dis[cur.second] < dis[to]) { dis[to] = E[idx].w + dis[cur.second]; Q.push(make_pair(dis[to], to)); parent[to] = idx; } } } } bool cmp(edge e1, edge e2) { return e1.w > e2.w; } int main() { scanf("%d", &n); scanf("%d", &m); scanf("%d", &L); scanf("%d", &second); scanf("%d", &e); for (int i = 1; i <= m; i++) { scanf("%d", &E[i].u); scanf("%d", &E[i].v); scanf("%d", &E[i].w); } sort(E + 1, E + m + 1, cmp); int last = 0; for (int i = 1; i <= m; i++) { if (E[i].w == 0) break; g[E[i].u].push_back(i); g[E[i].v].push_back(i); last = i; } djkstra(second, e); if (dis[e] < L) { puts("NO"); return 0; } for (int i = last + 1; i <= m; i++) { E[i].w = 1; g[E[i].u].push_back(i); g[E[i].v].push_back(i); } djkstra(second, e); if (dis[e] > L) { puts("NO"); return 0; } puts("YES"); for (int i = last + 1; i <= m; i++) { E[i].w = L; } int node = e; while (node != second) { int idx = parent[node]; if (idx > last) { E[idx].w = 1; } node = E[idx].other(node); } while (dis[e] < L) { node = e; while (node != second) { int idx = parent[node]; if (idx > last) { E[idx].w += (L - dis[e]); break; } node = E[idx].other(node); } djkstra(second, e); } for (int i = 1; i <= m; i++) { printf("%d %d %d\n", E[i].u, E[i].v, E[i].w); } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T, class U> void maximize(T &x, U y) { if (x < y) x = y; } template <class T, class U> void minimize(T &x, U y) { if (x > y) x = y; } template <class T> T Abs(T x) { return (x < 0 ? -x : x); } template <class T> T safe_sqrt(T x) { return sqrt(max(x, (T)0)); } template <class T, class U, class V> T addmod(T x, U k, V MOD) { return ((x + k) % MOD + MOD) % MOD; } template <class T, class U, class V> T submod(T x, U k, V MOD) { return ((x - k) % MOD + MOD) % MOD; } template <class T, class U, class V> T mul(T x, U y, V MOD) { return (long long)x * y % MOD; } namespace task { const long long inf = 1e18; const int N = 1e3 + 3; vector<pair<int, int> > adj[N]; struct E { int u, v, w; E() {} E(int _u, int _v, int _w) : u(_u), v(_v), w(_w) {} } edge[10 * N]; int n, m, L, s, t; long long dist[2][N]; bool mark[10 * N]; void print() { puts("YES"); for (int i = 1; i <= m; ++i) printf("%d %d %d\n", edge[i].u - 1, edge[i].v - 1, edge[i].w); } void dijkstra1() { priority_queue<pair<long long, int> > heap; fill(dist[0] + 1, dist[0] + 1 + n, inf); dist[0][t] = 0; heap.push(make_pair(dist[0][t], t)); while (!heap.empty()) { pair<long long, int> top = heap.top(); heap.pop(); int u = top.second; if (dist[0][u] != -top.first) continue; for (auto e : adj[u]) if (dist[0][u] + edge[e.second].w < dist[0][e.first]) dist[0][e.first] = dist[0][u] + edge[e.second].w, heap.push(make_pair(-dist[0][e.first], e.first)); } } void dijkstra2() { priority_queue<pair<long long, int> > heap; fill(dist[1] + 1, dist[1] + 1 + n, inf); dist[1][s] = 0; heap.push(make_pair(dist[1][s], s)); while (!heap.empty()) { pair<long long, int> top = heap.top(); heap.pop(); int u = top.second; if (dist[1][u] != -top.first) continue; for (auto e : adj[u]) if (dist[1][u] + edge[e.second].w < dist[1][e.first] and dist[1][u] + edge[e.second].w + dist[0][e.first] < L) { if (mark[e.second]) edge[e.second].w += L - (dist[1][u] + edge[e.second].w + dist[0][e.first]); else { dist[1][e.first] = dist[1][u] + edge[e.second].w; heap.push(make_pair(-dist[1][e.first], e.first)); } } } } void solve() { scanf("%d%d%d%d%d", &n, &m, &L, &s, &t); ++s, ++t; for (int i = 1; i <= m; ++i) { scanf("%d%d%d", &edge[i].u, &edge[i].v, &edge[i].w); ++edge[i].u, ++edge[i].v; if (!edge[i].w) edge[i].w = 1, mark[i] = true; adj[edge[i].u].push_back(make_pair(edge[i].v, i)); adj[edge[i].v].push_back(make_pair(edge[i].u, i)); } dijkstra1(); if (dist[0][s] > L) puts("NO"), exit(0); if (dist[0][s] == L) print(), exit(0); dijkstra2(); if (dist[1][t] == inf) print(); else puts("NO"); } } // namespace task int main(void) { task::solve(); }
#include <bits/stdc++.h> using namespace std; int n, m, L, s, t; const long long LMAX = (long long)1e9; const long long INF = (long long)1e15; void nope() { cout << "NO" << '\n'; exit(0); } struct ed { int u, v, w; int al; } E[10100]; long long d[1010]; int p[1010], pe[1010]; vector<pair<int, int> > G[1010]; void djk(int s) { fill(d, d + n + 1, INF); fill(p, p + n + 1, -1); fill(pe, pe + n + 1, -1); set<pair<long long, int> > pq; d[s] = 0; pq.emplace(d[s], s); while (!pq.empty()) { int u = pq.begin()->second; pq.erase(pq.begin()); long long du = d[u]; for (auto& v : G[u]) { long long rlx = du + E[v.second].w; if (rlx < d[v.first]) { pq.erase({d[v.first], v.first}); d[v.first] = rlx; p[v.first] = u; pe[v.first] = v.second; pq.emplace(d[v.first], v.first); } } } } void yep() { cout << "YES" << '\n'; for (int e = 1; e <= m; e++) { cout << E[e].u << ' ' << E[e].v << ' ' << E[e].w << '\n'; } exit(0); } int main() { ios::sync_with_stdio(0); cin.tie(0), cout.tie(0); cin >> n >> m >> L >> s >> t; for (int u, v, w, e = 1; e <= m; e++) { cin >> u >> v >> w; E[e] = {u, v, w, w == 0}; G[u].push_back({v, e}); G[v].push_back({u, e}); } for (int e = 1; e <= m; e++) if (E[e].al) E[e].w = 1; djk(s); if (p[t] == -1 or d[t] > L) nope(); if (d[t] == L) yep(); while (d[t] < L) { int diff = L - d[t]; int v = t; bool inc = 0; for (; v >= 0; v = p[v]) if (E[pe[v]].al) { E[pe[v]].w += diff; E[pe[v]].al = 0; inc = 1; break; } if (!inc) break; djk(s); } if (d[t] != L) nope(); yep(); return 0; };
#include <bits/stdc++.h> using namespace std; const int INF = 1e9; const int N = 100031; long long n, m, s, t, l; long long a[N], b[N], w[N]; long long flag[N]; vector<int> g[N]; void run_locker(int val) { for (int i = 0; i < m; i++) { if (flag[i]) w[i] = val; } } int used[N]; long long dist[N]; int par[N]; int get_other(int edge_id, int v_id) { if (a[edge_id] == v_id) return b[edge_id]; return a[edge_id]; } long long get_solution() { for (int i = 1; i <= n; i++) { used[i] = 0; dist[i] = 1e18; } dist[s] = 0; set<pair<long long, long long> > S; set<pair<long long, long long> >::iterator it; for (int i = 1; i <= n; i++) { S.insert(make_pair(dist[i], i)); } while (S.size()) { it = S.begin(); pair<long long, long long> p = *it; S.erase(it); int qv = p.second; for (int i = 0; i < g[qv].size(); i++) { int id = g[qv][i]; int to = get_other(id, qv); long long qd = dist[qv] + w[id]; if (dist[to] > qd) { S.erase(make_pair(dist[to], to)); dist[to] = qd; par[to] = id; S.insert(make_pair(dist[to], to)); } } } return dist[t]; } vector<int> get_path() { vector<int> res; int cur = t; while (cur != s) { res.push_back(par[cur]); cur = get_other(par[cur], cur); } return res; } vector<int> purify(vector<int> v) { vector<int> res; for (int i = 0; i < v.size(); i++) { int id = v[i]; if (flag[id]) res.push_back(id); } return res; } int main() { ios_base::sync_with_stdio(0); cin >> n >> m >> l >> s >> t; ++s; ++t; for (int i = 0; i < m; i++) { cin >> a[i] >> b[i] >> w[i]; ++a[i]; ++b[i]; g[a[i]].push_back(i); g[b[i]].push_back(i); if (w[i] == 0) flag[i] = 1; } run_locker((int)1e9 + 1e6); long long Q = get_solution(); if (Q < l) { cout << "NO" << endl; return 0; } run_locker(1); Q = get_solution(); if (Q > l) { cout << "NO" << endl; return 0; } vector<int> V; for (int i = 0; i < m; i++) { if (flag[i]) V.push_back(i); } while (true) { long long Q = get_solution(); if (Q == l) break; long long L, R; L = 0; R = 1e15; while (L < R) { long long mid = L + R + 1; mid /= 2; int C = V.size(); for (int i = 0; i < V.size(); i++) { int id = V[i]; w[id] += mid / C; if (i < mid % C) w[id]++; } long long QQ = get_solution(); if (QQ > l) { R = mid - 1; } else { L = mid; } for (int i = 0; i < V.size(); i++) { int id = V[i]; w[id] -= mid / C; if (i < mid % C) w[id]--; } } for (int i = 0; i < V.size(); i++) { int id = V[i]; w[id] += L / V.size(); if (i < L % V.size()) w[id]++; } } cout << "YES" << endl; for (int i = 0; i < m; i++) { --a[i]; --b[i]; cout << a[i] << " " << b[i] << " " << w[i] << endl; } cin.get(); cin.get(); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> void cmax(T& a, T b) { a = max(a, b); } template <typename T> void cmin(T& a, T b) { a = min(a, b); } void _BG(const char* s) {} template <typename T, typename... TT> void _BG(const char* s, T a, TT... b) { for (int c = 0; *s && (c || *s != ','); ++s) { cerr << *s; switch (*s) { case '(': case '[': case '{': ++c; break; case ')': case ']': case '}': --c; break; } } cerr << " = " << a; if (*s) { cerr << ", "; _BG(++s, b...); } else cerr << endl; } bool RD(void) { return true; } bool RD(char& a) { return scanf(" %c", &a) == 1; } bool RD(char* a) { return scanf("%s", a) == 1; } bool RD(double& a) { return scanf("%lf", &a) == 1; } bool RD(int& a) { return scanf("%d", &a) == 1; } bool RD(long long& a) { return scanf("%lld", &a) == 1; } template <typename T, typename... TT> bool RD(T& a, TT&... b) { return RD(a) && RD(b...); } void PT(const char a) { putchar(a); } void PT(const char* a) { fputs(a, stdout); } void PT(char* a) { fputs(a, stdout); } void PT(const double a) { printf("%.16f", a); } void PT(const int a) { printf("%d", a); } void PT(const long long a) { printf("%lld", a); } template <char sep = ' ', char end = '\n'> void PL(void) { if (end) PT(end); } template <char sep = ' ', char end = '\n', typename T, typename... TT> void PL(const T a, const TT... b) { PT(a); if (sizeof...(b) && sep) PT(sep); PL<sep, end>(b...); } const int N = 1234, M = 12345; const long long inf = 1e18; struct edge { int u, v; long long w; bool f; int go(int x) { return u ^ v ^ x; } } e[M]; vector<int> g[N]; int n, m, s, t; long long L, d[N]; int pr[N]; long long sp() { fill_n(d, n, inf); fill_n(pr, n, -1); d[s] = 0; priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > pq; pq.push({0, s}); while (((int)pq.size())) { int u; long long w; tie(w, u) = pq.top(); pq.pop(); if (w > d[u]) continue; if (u == t) break; for (int i : g[u]) { int v = e[i].go(u); w = d[u] + e[i].w; if (w < d[v]) { d[v] = w; pr[v] = i; pq.push({w, v}); } } } return d[t]; } int main() { RD(n, m, L, s, t); for (int i(0), _B(m); i < _B; ++i) { RD(e[i].u, e[i].v, e[i].w); if (!e[i].w) { e[i].w = 1; e[i].f = 1; } else { g[e[i].u].push_back(i); g[e[i].v].push_back(i); } } if (sp() < L) { PL("NO"); return 0; } for (int i(0), _B(m); i < _B; ++i) if (e[i].f) { g[e[i].u].push_back(i); g[e[i].v].push_back(i); } long long w = sp(); if (w > L) { PL("NO"); return 0; } for (; w < L; w = sp()) { for (int k = t; k != s; k = e[pr[k]].go(k)) { int i = pr[k]; if (e[i].f) { e[i].w += L - w; break; } } } PL("YES"); for (int i(0), _B(m); i < _B; ++i) PL(e[i].u, e[i].v, e[i].w); }
#include <bits/stdc++.h> using namespace std; void read_file(bool outToFile = true) {} const int nMax = 1000 + 9; const int mMax = 10000 + 9; const long long OO = 1LL * 1000000000 * 1000000000 + 1; const long long wMax = 1LL * 1000000000 * 1000000000; int n, m, L, src, dst; pair<pair<int, int>, long long> E[mMax]; bool is[mMax]; vector<vector<int> > G; long long SP[nMax]; int par[nMax]; long long dijkstra() { priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > PQ; for (int i = 0; i < n; i++) SP[i] = OO; memset(par, -1, sizeof par); SP[src] = 0; par[src] = -2; PQ.push(make_pair(0, src)); while (!PQ.empty()) { pair<long long, int> top = PQ.top(); PQ.pop(); int u = top.second; long long d = top.first; if (d > SP[u]) continue; for (int i = 0, sz = G[u].size(); i < sz; i++) { pair<pair<int, int>, long long> e = E[G[u][i]]; int v = e.first.first == u ? e.first.second : e.first.first; long long w = e.second; if (SP[v] <= SP[u] + w) continue; SP[v] = SP[u] + w; PQ.push(make_pair(SP[v], v)); par[v] = G[u][i]; } } return SP[dst]; } void run_dijkstra(int u) { priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > PQ; PQ.push(make_pair(SP[u], u)); while (!PQ.empty()) { pair<long long, int> top = PQ.top(); PQ.pop(); int u = top.second; long long d = top.first; if (d > SP[u]) continue; for (int i = 0, sz = G[u].size(); i < sz; i++) { pair<pair<int, int>, long long> e = E[G[u][i]]; int v = e.first.first == u ? e.first.second : e.first.first; long long w = e.second; if (SP[v] <= SP[u] + w) continue; SP[v] = SP[u] + w; PQ.push(make_pair(SP[v], v)); } } } int main() { read_file(); while (scanf("%d%d", &n, &m) != EOF) { scanf("%d%d%d", &L, &src, &dst); memset(is, 0, sizeof is); G.assign(n, vector<int>()); for (int i = 0; i < m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); E[i] = pair<pair<int, int>, long long>(make_pair(u, v), w); is[i] = w == 0 ? 1 : 0; if (!is[i]) { G[u].push_back(i); G[v].push_back(i); } } long long sp = dijkstra(); if (sp < L) { printf("NO\n"); continue; } else if (sp == L) { printf("YES\n"); for (int i = 0; i < m; i++) { int u, v; long long w; u = E[i].first.first, v = E[i].first.second; w = E[i].second; if (w == 0) w = wMax; printf("%d %d %lld\n", u, v, w); } continue; } bool done = false; for (int i = 0; i < m; i++) { if (!is[i]) continue; int u = E[i].first.first, v = E[i].first.second; long long &w = E[i].second; if (done) { w = wMax; continue; } w = 1; G[u].push_back(i); G[v].push_back(i); if (llabs(SP[u] - SP[v]) <= 1) { continue; } if (SP[u] > SP[v]) swap(u, v); run_dijkstra(u); if (SP[dst] > L) continue; w += L - SP[dst]; done = true; } if (!done) { printf("NO\n"); continue; } printf("YES\n"); for (int i = 0; i < m; i++) { int u, v; long long w; u = E[i].first.first, v = E[i].first.second; w = E[i].second; assert(0 <= w && w <= wMax); printf("%d %d %lld\n", u, v, w); } } }
#include <bits/stdc++.h> using namespace std; long long int n, m, l, s, t, a, b, weight, inf = 2e18; vector<vector<long long int>> adj1(1005), adj2(1005); vector<long long int> d(1005), p(1005); long long int fixedd[1005][1005], variable[1005][1005]; void dijkstra(vector<long long int> &d, vector<long long int> &p) { d.assign(n + 1, inf); p.assign(n + 1, -1); set<pair<long long int, long long int>> S; S.insert({0, s}); d[s] = 0; while (!S.empty()) { pair<long long int, long long int> x = *S.begin(); S.erase(S.begin()); for (int y : adj1[x.second]) { if (d[x.second] + fixedd[x.second][y] < d[y]) { S.erase({d[y], y}); d[y] = d[x.second] + fixedd[x.second][y]; S.insert({d[y], y}); p[y] = x.second; } } } return; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m >> l >> s >> t; memset(fixedd, 0, sizeof(fixedd)); memset(variable, 0, sizeof(variable)); for (long long int i = 0; i < m; i++) { cin >> a >> b >> weight; if (weight == 0) { adj2[a].push_back(b); adj2[b].push_back(a); variable[a][b] = 1; variable[b][a] = 1; } else { adj1[a].push_back(b); adj1[b].push_back(a); fixedd[a][b] = weight; fixedd[b][a] = weight; } } dijkstra(d, p); if (d[t] < l) { cout << "NO\n"; return 0; } for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < adj2[i].size(); j++) { adj1[i].push_back(adj2[i][j]); fixedd[i][adj2[i][j]] = 1; } } dijkstra(d, p); if (d[t] > l) { cout << "NO\n"; return 0; } cout << "YES\n"; while (d[t] != l) { long long int x = t; while (p[x] != -1) { if (variable[x][p[x]]) { fixedd[x][p[x]] += l - d[t]; fixedd[p[x]][x] += l - d[t]; break; } else x = p[x]; } dijkstra(d, p); } long long int done[1005][1005]; for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < n; j++) { if (done[i][j] == 0 && done[j][i] == 0 && fixedd[i][j] != 0) { cout << i << " " << j << " " << fixedd[i][j] << '\n'; done[i][j] = 1; } } } return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<pair<long long, long long>, long long> > vf; vector<pair<long long, long long> > adj[1008]; vector<int> num[1008]; long long n; long long m; long long l; long long s, t; long long st[10008], nd[10008], val[10008]; int var[10008] = {0}; long long vis[1008] = {0}; void dfs(long long u) { if (vis[u]) return; vis[u] = 1; long long sz = adj[u].size(); for (int j = 0; j < sz; j++) { pair<long long, long long> v = adj[u][j]; dfs((long long)v.first); } } int main() { scanf("%lld", &n); scanf("%lld", &m); scanf("%lld", &l); scanf("%lld", &s); scanf("%lld", &t); for (long long i = 0; i < m; i++) { long long u, v; long long w; scanf("%lld", &u); scanf("%lld", &v); scanf("%lld", &w); st[i] = u; nd[i] = v; val[i] = w; if (!w) var[i] = 1; adj[u].push_back(pair<long long, long long>(v, w)); num[u].push_back(i); adj[v].push_back(pair<long long, long long>(u, w)); num[v].push_back(i); } dfs(s); if (!vis[t]) { cout << "NO"; return 0; } vector<long long> dist; dist.resize(1008, 1000000000000000000ll); dist[s] = 0; priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > pq; pq.push(pair<long long, long long>(0, s)); while (!pq.empty()) { pair<long long, long long> front = pq.top(); pq.pop(); long long d = front.first, u = front.second; if (d > dist[u]) continue; for (long long j = 0; j < (long long)adj[u].size(); j++) { pair<long long, long long> v = adj[u][j]; long long ex = 1000000000000000000ll; if (v.second == 0) ; else ex = v.second; if (dist[u] + ex < dist[v.first]) { dist[v.first] = dist[u] + ex; pq.push(pair<long long, long long>(dist[v.first], v.first)); } } } if (dist[t] < l) { cout << "NO"; return 0; } else if (dist[t] == l) { printf("YES\n"); for (long long i = 0; i < m; i++) { long long ex = (val[i] ? val[i] : 1000000000000000000ll); printf("%llu %llu %llu\n", st[i], nd[i], ex); } return 0; } while (!pq.empty()) pq.pop(); dist.clear(); dist.resize(1008, 1000000000000000000ll); dist[t] = 0; pq.push(pair<long long, long long>(0, t)); while (!pq.empty()) { pair<long long, long long> front = pq.top(); pq.pop(); long long d = front.first, u = front.second; if (d > dist[u]) continue; for (long long j = 0; j < (long long)adj[u].size(); j++) { pair<long long, long long> v = adj[u][j]; long long ex = max(v.second, 1ll); if (dist[u] + ex < dist[v.first]) { dist[v.first] = dist[u] + ex; pq.push(pair<long long, long long>(dist[v.first], v.first)); } } } if (dist[s] > l) { cout << "NO"; return 0; } while (!pq.empty()) pq.pop(); vector<int> diss(1008, 1000000007); diss[s] = 0; pq.push(pair<long long, long long>(0, s)); while (!pq.empty()) { pair<long long, long long> front = pq.top(); pq.pop(); long long d = front.first, u = front.second; if (d > diss[u]) continue; for (long long j = 0; j < (long long)adj[u].size(); j++) { pair<long long, long long> v = adj[u][j]; if (var[num[u][j]]) { val[num[u][j]] = v.second = max(val[num[u][j]], max(1ll, l - dist[v.first] - diss[u])); } long long ex = v.second; if (diss[u] + ex < diss[v.first]) { diss[v.first] = diss[u] + ex; pq.push(pair<long long, long long>(diss[v.first], v.first)); } } } printf("YES"); printf("\n"); for (int i = 0; i < m; i++) { printf("%llu %llu %llu\n", st[i], nd[i], (val[i] ? val[i] : l)); } }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int>> adia[1100]; int costsg; int n, m; int S, T, l; int dist[1100]; vector<pair<pair<int, int>, pair<int, int>>> alone; int cbin(); int main() { ios_base ::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> l >> S >> T; int a, b, c; while (m--) { cin >> a >> b >> c; if (c == 0) alone.push_back({{a, adia[a].size()}, {b, adia[b].size()}}); adia[a].push_back({b, c}); adia[b].push_back({a, c}); } costsg = 100; int p(0), q(1 << 30); while (q) { if (p + q <= 1000 * 1000 * 1100) { costsg = p + q; int x(cbin()); if (x <= l) p += q; } q >>= 1; } costsg = p; if (cbin() > l || p == 0) { cout << "NO"; return 0; } costsg = p + 1; if (cbin() < l) { cout << "NO"; return 0; } for (auto i : alone) { adia[i.first.first][i.first.second].second = adia[i.second.first][i.second.second].second = p; } int punere(p); p = 0, q = 1 << 20; while (q) { if (p + q <= alone.size()) { for (int i(0); i < p + q; i++) adia[alone[i].first.first][alone[i].first.second].second++, adia[alone[i].second.first][alone[i].second.second].second++; int x(cbin()); for (int i(0); i < p + q; i++) adia[alone[i].first.first][alone[i].first.second].second--, adia[alone[i].second.first][alone[i].second.second].second--; if (x <= l) p += q; } q >>= 1; } for (int i(0); i < p; i++) adia[alone[i].first.first][alone[i].first.second].second++, adia[alone[i].second.first][alone[i].second.second].second++; cout << "YES\n"; for (int i(0); i < n; i++) { for (auto j : adia[i]) { if (j.first > i) cout << i << ' ' << j.first << ' ' << j.second << '\n'; } } return 0; } int cbin() { for (int i(0); i <= n; i++) dist[i] = 1e9 + 100; priority_queue<pair<int, int>> q; q.push({0, S}); while (!q.empty()) { int t(q.top().first), x(q.top().second); t *= -1; q.pop(); if (dist[x] < t) continue; if (x == T) return dist[x]; for (auto i : adia[x]) { if (!i.second) i.second = costsg; if (dist[i.first] > t + i.second) { dist[i.first] = t + i.second; q.push({-dist[i.first], i.first}); } } } return 2 * 1000 * 1000 * 1000; }
#include <bits/stdc++.h> using namespace std; using ii = pair<long long int, long long int>; const long long int N = 1000 + 5, INF = 1e18, M = 10000 + 5; vector<long long int> G[N]; vector<ii> g[N]; long long int dist[N][N], d1[N], d2[N], U[M], V[M], W[M], p[N]; long long int n, m, s, t, L; void djk() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d1[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (auto& it : g[u]) { long long int v = it.first, w = it.second; if (d1[u] + w < d1[v]) { d1[v] = d1[u] + w; q.push({d1[v], v}); } } } } bool djk2() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (long long int v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] > L) { return false; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -2; } cur = p[cur]; } for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < n; j++) { if (dist[i][j] == -1) { dist[i][j] = INF; } } } cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -1; } cur = p[cur]; } return true; } bool relax() { for (long long int i = 0; i < n; i++) { d2[i] = INF; } priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (auto& v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] == L) { return true; } long long int cur = t; bool check = false; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0 and !check) { dist[cur][par] = dist[par][cur] = abs(dist[par][cur]) + L - d2[t]; check = true; } if (check) { break; } cur = p[cur]; } return false; } int32_t main() { cin.tie(0)->sync_with_stdio(0); cin >> n >> m >> L >> s >> t; for (long long int i = 0; i <= n; i++) { d1[i] = d2[i] = INF; } for (long long int i = 0, u, v; i < m; i++) { cin >> u >> v >> W[i]; U[i] = u, V[i] = v; if (W[i] != 0) { g[u].push_back({v, W[i]}); g[v].push_back({u, W[i]}); G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = W[i]; } else { G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = -1; } } djk(); if (d1[t] < L) { cout << "NO\n"; return 0; } if (d1[t] == L) { cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " "; cout << ((W[i] == 0) ? INF : W[i]) << "\n"; } return 0; } if (!djk2()) { cout << "NO\n"; return 0; } while (!relax()) { relax(); } cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " " << abs(dist[U[i]][V[i]]) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1010; const int maxm = 10010; const int INF = 1e9; const long long inf = 1e17; struct edge { int u, v, w; }; edge E[maxm]; int ans[maxn][maxn], pre[maxn]; vector<pair<int, int> > vec[maxn]; priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > Q; long long dis[maxn]; bool vis[maxn]; int n, m, L, s, t; inline void dijkstra() { fill(dis, dis + maxn, inf); memset(vis, 0, sizeof(vis)); memset(pre, -1, sizeof(pre)); Q.push(make_pair(dis[s] = 0, s)); while (!Q.empty()) { int u = Q.top().second; Q.pop(); if (vis[u]) continue; vis[u] = 1; for (auto &elem : vec[u]) { if (!vis[elem.first] && dis[elem.first] > dis[u] + elem.second) { pre[elem.first] = u; Q.push(make_pair(dis[elem.first] = dis[u] + elem.second, elem.first)); } } } } inline bool check() { for (int i = 1; i <= n; ++i) vec[i].clear(); for (int i = 0; i < m; ++i) { vec[E[i].u].emplace_back(E[i].v, E[i].w ? E[i].w : INF); vec[E[i].v].emplace_back(E[i].u, E[i].w ? E[i].w : INF); } dijkstra(); if (dis[t] < L) return 0; for (int i = 1; i <= n; ++i) vec[i].clear(); for (int i = 0; i < m; ++i) { vec[E[i].u].emplace_back(E[i].v, max(1, E[i].w)); vec[E[i].v].emplace_back(E[i].u, max(1, E[i].w)); } dijkstra(); if (dis[t] > L) return 0; int l = 1, r = INF, mid, u = 0, v = 0; while (l < r) { mid = l + r >> 1; for (int i = 1; i <= n; ++i) vec[i].clear(); for (int i = 0; i < m; ++i) { vec[E[i].u].emplace_back(E[i].v, E[i].w ? E[i].w : mid); vec[E[i].v].emplace_back(E[i].u, E[i].w ? E[i].w : mid); } dijkstra(); if (dis[t] >= L) r = mid; else l = mid + 1; } for (int i = 1; i <= n; ++i) vec[i].clear(); for (int i = 0; i < m; ++i) { vec[E[i].u].emplace_back(E[i].v, E[i].w ? E[i].w : l); vec[E[i].v].emplace_back(E[i].u, E[i].w ? E[i].w : l); } dijkstra(); assert(dis[t] >= L); for (int i = t; i != -1; i = pre[i]) { if (pre[i] == -1) break; if (ans[pre[i]][i] == 0) { u = pre[i], v = i; break; } } for (int i = 1; i <= n; ++i) { for (int j = 1; j < i; ++j) { if (ans[i][j] == 0) { ans[i][j] = ans[j][i] = l; } } } if (u && v) { ans[u][v] -= dis[t] - L; ans[v][u] -= dis[t] - L; } return 1; } int main() { while (~scanf("%d%d%d%d%d", &n, &m, &L, &s, &t)) { ++s, ++t; memset(ans, -1, sizeof(ans)); for (int i = 0; i < m; ++i) { scanf("%d%d%d", &E[i].u, &E[i].v, &E[i].w); ++E[i].u, ++E[i].v; ans[E[i].u][E[i].v] = ans[E[i].v][E[i].u] = E[i].w; } if (!check()) { puts("NO"); continue; } puts("YES"); for (int i = 0; i < m; ++i) printf("%d %d %d\n", E[i].u - 1, E[i].v - 1, ans[E[i].u][E[i].v]); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 0x3f3f3f3f3f3f3f3f; const int MOD = 1e9 + 7; const int maxn = 2e4 + 10; const int maxv = 1e3 + 10; const double eps = 1e-9; int n, m, s, t; long long L; int cnt, pnt[maxn], nxt[maxn], head[maxv], from[maxn]; long long cost[maxn]; bool can[maxn]; void add_edge(int u, int v, long long val) { from[cnt] = u; pnt[cnt] = v; cost[cnt] = val; nxt[cnt] = head[u]; if (!cost[cnt]) can[cnt] = true; head[u] = cnt++; } void print() { for (int i = 0; i < cnt; i++) { cout << from[i] << ' ' << pnt[i] << ' ' << cost[i] << endl; } } void change(long long x) { for (int i = 0; i < cnt; i++) { if (can[i]) cost[i] = x; } } int vis[maxv]; long long dis[maxv]; int pedge[maxn]; long long dij() { memset(dis, 0x3f, sizeof dis); dis[s] = 0; memset(vis, 0, sizeof vis); priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > pq; pq.push(pair<long long, long long>(0, s)); while (pq.size()) { auto cur = pq.top(); pq.pop(); int u = cur.second; long long d = cur.first; vis[u] = 1; if (dis[u] < d) continue; for (int i = head[u]; ~i; i = nxt[i]) { int v = pnt[i]; if (dis[v] > dis[u] + cost[i]) { dis[v] = dis[u] + cost[i]; if (!vis[v]) pq.push(pair<long long, long long>(dis[v], v)); pedge[v] = i ^ 1; } } } return dis[t]; } int main() { cnt = 0; memset(head, -1, sizeof head); memset(can, 0, sizeof can); cin >> n >> m >> L >> s >> t; for (int i = 0; i < m; i++) { int u, v; long long val; cin >> u >> v >> val; add_edge(u, v, val); add_edge(v, u, val); } change(inf); if (dij() < L) { puts("NO"); return 0; } change(1); if (dij() > L) { puts("NO"); return 0; } int allss = 0; while (1) { long long now = dij(); if (now >= L) break; for (int cur = t; cur != s; cur = pnt[pedge[cur]]) { int i = pedge[cur]; if (can[i]) { cost[i] = cost[i ^ 1] += L - now; break; } } } puts("YES"); for (int i = 0; i < cnt; i += 2) { printf("%d %d %lld\n", from[i], pnt[i], cost[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int DI[] = {-1, 0, 1, 0}; const int DJ[] = {0, 1, 0, -1}; const int MAXINT = 0x7fffffff; const int BIGINT = 0x20000000; const long long MAXLL = 0x7fffffffffffffffLL; const long long BIGLL = 0x2000000000000000LL; template <typename T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; } template <typename T> T powmod(T a, T b, T m) { T r = 1; a %= m; for (; b; b >>= 1) { if (b & 1) r = r * a % m; a = a * a % m; } return r; } template <typename W> vector<W> Dijkstra(vector<unordered_map<int, W>>& edge, W inf, int s, vector<int>& parent) { int n = edge.size(); vector<W> dis(n, inf); set<pair<W, int>> Q; dis[s] = 0; Q.insert(make_pair(0, s)); while (!Q.empty()) { auto p = Q.begin(); int u = p->second; Q.erase(p); for (auto& p : edge[u]) { int v = p.first; W w = p.second; if (dis[u] + w < dis[v]) { if (dis[v] < inf) { Q.erase(make_pair(dis[v], v)); } parent[v] = u; dis[v] = dis[u] + w; Q.insert(make_pair(dis[v], v)); } } } return dis; } int main() { ios::sync_with_stdio(false); int N, M, S, T; long long L; cin >> N >> M >> L >> S >> T; vector<unordered_map<int, long long>> edge(N), cand(N); for (int i = 0; i < M; ++i) { int a, b; long long w; cin >> a >> b >> w; if (w) { edge[a][b] = edge[b][a] = w; } else { cand[a][b] = cand[b][a] = 1; } } vector<int> parent(N); vector<long long> dis = Dijkstra(edge, BIGLL, S, parent); if (dis[T] < L) { cout << "NO" << endl; return 0; } for (int i = 0; i < N; ++i) for (auto& p : cand[i]) edge[i][p.first] = p.second; dis = Dijkstra(edge, BIGLL, S, parent); if (dis[T] > L) { cout << "NO" << endl; return 0; } while (dis[T] < L) { int v = T; while (v != S) { int u = parent[v]; if (cand[u].find(v) != cand[u].end()) { edge[u][v] += L - dis[T]; edge[v][u] += L - dis[T]; break; } v = u; } dis = Dijkstra(edge, BIGLL, S, parent); } cout << "YES" << endl; for (int i = 0; i < N; ++i) for (auto& p : edge[i]) if (i < p.first) { cout << i << ' ' << p.first << ' ' << p.second << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1100, inf = 1e9 + 1; int e, head[N], done[N], dist[N]; int n, m, L, s, t; struct Edge { int v, w, nx; } edges[N * N]; void init() { e = 0; memset(head, -1, sizeof head); } void add_edge(int u, int v, int w) { edges[e] = (Edge){v, w, head[u]}; head[u] = e++; } struct Node { int u, d; bool operator<(const Node& o) const { return d > o.d; } }; void dijkstra() { for (int i = 0; i < n; i++) dist[i] = inf, done[i] = 0; priority_queue<Node> pq; pq.push((Node){s, 0}); dist[s] = 0; while (!pq.empty()) { Node x = pq.top(); pq.pop(); int u = x.u; if (done[u]) continue; done[u] = 1; for (int i = head[u]; ~i; i = edges[i].nx) { int v = edges[i].v; int w = edges[i].w; if (dist[v] > dist[u] + w) { dist[v] = dist[u] + w; pq.push((Node){v, dist[v]}); } } } } vector<Edge> v1, v2; int check(int x) { init(); for (int i = 0; i < (int)v1.size(); i++) { add_edge(v1[i].v, v1[i].w, v1[i].nx); add_edge(v1[i].w, v1[i].v, v1[i].nx); } for (int i = 0; i < x; i++) { add_edge(v2[i].v, v2[i].w, 1); add_edge(v2[i].w, v2[i].v, 1); } dijkstra(); return dist[t]; } int main() { scanf("%d%d%d%d%d", &n, &m, &L, &s, &t); for (int i = 0; i < m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); if (w) v1.push_back((Edge){u, v, w}); else v2.push_back((Edge){u, v, w}); } int L1 = check(0), L2 = check(v2.size()); if (L1 < L || L2 > L) { puts("NO"); return 0; } if (L1 == L) { puts("YES"); for (int i = 0; i < (int)v1.size(); i++) printf("%d %d %d\n", v1[i].v, v1[i].w, v1[i].nx); for (int i = 0; i < (int)v2.size(); i++) printf("%d %d %d\n", v2[i].v, v2[i].w, inf); return 0; } int low = 0, high = v2.size(); while (high - low > 1) { int M = (low + high) / 2; if (check(M) <= L) high = M; else low = M; } int nowL = check(high); puts("YES"); for (int i = 0; i < (int)v1.size(); i++) printf("%d %d %d\n", v1[i].v, v1[i].w, v1[i].nx); for (int i = 0; i < high - 1; i++) printf("%d %d %d\n", v2[i].v, v2[i].w, 1); printf("%d %d %d\n", v2[high - 1].v, v2[high - 1].w, L - nowL + 1); for (int i = high; i < (int)v2.size(); i++) printf("%d %d %d\n", v2[i].v, v2[i].w, inf); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = 998244353; const int N = 100005; const double PI = 4 * atan(1); const double eps = 1e-7; const long long oo = 1e18; const int AlPHA = 26, B = 30; long long n, m, L, sr, t; long long adj[1005][1005]; long long yes[1005][1005]; long long dist[1005]; vector<long long> ad[N]; bool vis[1005]; vector<pair<long long, long long> > v; void dijkstra(long long src) { set<pair<long long, long long> > ss; pair<long long, long long> ras; for (int i = 0; i < n; i++) { dist[i] = 1e17; vis[i] = 0; } dist[src] = 0; ss.insert(make_pair(0, src)); while (!ss.empty()) { ras = *(ss.begin()); ss.erase(ss.begin()); src = ras.second; long long w = ras.first; if (vis[src]) continue; vis[src] = 1; for (auto u : ad[src]) { if (dist[u] > w + adj[src][u]) { dist[u] = w + adj[src][u]; ss.insert(make_pair(dist[u], u)); } } } } int main() { ios::sync_with_stdio(0); cin >> n >> m >> L >> sr >> t; for (int i = 0; i < m; i++) { long long x, y, z; cin >> x >> y >> z; ad[x].push_back(y); ad[y].push_back(x); if (z > 0) { adj[x][y] = adj[y][x] = z; } else { adj[x][y] = adj[y][x] = 1; yes[x][y] = yes[y][x] = 1; v.push_back(make_pair(x, y)); } } dijkstra(sr); long long x = dist[t]; long long i = 0; while (i < v.size() && x < L) { long long y = L - x + 1; adj[v[i].first][v[i].second] = adj[v[i].second][v[i].first] = y; dijkstra(sr); x = dist[t]; i++; } if (x != L) { cout << "NO"; return 0; } else { cout << "YES\n"; for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { if (adj[i][j]) cout << i << " " << j << " " << adj[i][j] << "\n"; } } } return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, S, T; vector<pair<int, int>> adj[1100], e; bool un[10100]; long long L, cost[1100], value[10100]; bool inq[1100]; queue<int> q; long long go() { for (int i = (0); i < (N); i++) cost[i] = 1e18; cost[S] = 0, q.push(S), inq[S] = 1; while (q.size()) { int i = q.front(); q.pop(); inq[i] = 0; for (auto j : adj[i]) if (cost[j.first] > cost[i] + value[j.second]) { cost[j.first] = cost[i] + value[j.second]; if (!inq[j.first]) q.push(j.first), inq[j.first] = 1; } } return cost[T]; } int main() { scanf("%d %d %lld %d %d", &N, &M, &L, &S, &T); for (int i = (0); i < (M); i++) { int a, b, c; scanf("%d %d %d", &a, &b, &c); e.push_back(make_pair(a, b)); value[i] = c; adj[a].push_back(make_pair(b, i)); adj[b].push_back(make_pair(a, i)); if (!c) un[i] = 1; } for (int i = (0); i < (M); i++) if (un[i]) { value[i] = 1; } long long best = go(); for (int i = (0); i < (M); i++) if (un[i]) { value[i] = 2e9; } long long worst = go(); if (L < best || L > worst) return puts("NO"), 0; puts("YES"); if (worst > L) { for (int i = (0); i < (M); i++) if (un[i]) { value[i] = 1; long long g = go(); if (g <= L) { value[i] = 1 + (L - g); break; } } } assert(go() == L); for (int i = (0); i < (M); i++) { int a, b; tie(a, b) = e[i]; printf("%d %d %lld\n", a, b, value[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1e15; int n, m, s, t; long long L; long long dst[3][1007]; struct edge { int to; long long w; bool q; edge() {} edge(int to, long long w, bool q) : to(to), w(w), q(q) {} }; vector<edge> adj[1007]; bool G[1007][1007]; void dijkstra(int x) { dst[1][x] = 0; priority_queue<pair<long long, int> > pq; pq.push(make_pair(0, x)); while (!pq.empty()) { int u = pq.top().second; long long w = -pq.top().first; pq.pop(); if (w != dst[1][u]) continue; for (auto b : adj[u]) { int v = b.to; long long dw = b.w; if (dst[1][v] > dst[1][u] + dw) { dst[1][v] = dst[1][u] + dw; pq.push(make_pair(-dst[1][v], v)); } } } } void dijkstra1() { priority_queue<pair<long long, int> > pq; dst[0][s] = 0; pq.push(make_pair(0, s)); while (!pq.empty()) { int u = pq.top().second; long long w = -pq.top().first; pq.pop(); if (dst[0][u] != w) continue; for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i].to; long long nw = adj[u][i].w; bool e = adj[u][i].q; if (G[u][v]) continue; if (e) { if (L - dst[1][v] - w <= 0) adj[u][i].w = 1000000000; else adj[u][i].w = L - dst[1][v] - w; G[v][u] = 1; nw = adj[u][i].w; } if (dst[0][v] > dst[0][u] + nw) { dst[0][v] = dst[0][u] + nw; pq.push(make_pair(-dst[0][v], v)); } } } } int main() { cin >> n >> m >> L >> s >> t; for (int i = 0; i < m; i++) { int u, v, w; cin >> u >> v >> w; bool q = 0; if (w == 0) { w = 1; q = 1; } adj[u].push_back(edge(v, w, q)); adj[v].push_back(edge(u, w, q)); } fill(dst[0], dst[0] + n + 1, inf); fill(dst[1], dst[1] + n + 1, inf); dijkstra(t); if (dst[1][s] > L) { printf("NO\n"); return 0; } dijkstra1(); fill(dst[1], dst[1] + n + 1, inf); dijkstra(s); if (dst[1][t] != L) { printf("NO\n"); return 0; } printf("YES\n"); for (int i = 0; i < n; i++) { for (auto x : adj[i]) { if (G[i][x.to]) continue; G[x.to][i] = 1; printf("%d %d %lld\n", i, x.to, x.w); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; const string task = "rvq"; int dx[] = {1, 0, -1, 0}; int dy[] = {0, 1, 0, -1}; int n, m, s, t; vector<pair<long long, long long> > adj[10005]; vector<int> todo; long long v[10005], u[10005], w[10005], d[10005], L; void dijkstra() { for (int i = int(0); i <= int(n); i++) d[i] = (1ll << 60); d[s] = 0ll; priority_queue<pair<long long, long long> > pq; pq.push({0, s}); while (!pq.empty()) { long long x = pq.top().second; long long tt = -pq.top().first; pq.pop(); if (d[x] < tt) continue; for (auto i : adj[x]) { if (d[i.first] > d[x] + i.second) { d[i.first] = d[x] + i.second; pq.push({-d[i.first], i.first}); } } } } long long check(long long x) { for (auto i : todo) { w[i] = 1 + min(x, 1000000000LL); x -= w[i] - 1; } for (int i = int(0); i <= int(n); i++) adj[i].clear(); for (int i = int(1); i <= int(m); i++) { adj[v[i]].push_back({u[i], w[i]}); adj[u[i]].push_back({v[i], w[i]}); } dijkstra(); return d[t]; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m >> L >> s >> t; for (int i = int(1); i <= int(m); i++) { cin >> v[i] >> u[i] >> w[i]; if (w[i] == 0) todo.push_back(i); } long long l = 0, d = 1000000000LL * todo.size(), mid, ans = -1; if (check(0) > L || check(d) < L) { cout << "NO\n"; return 0; } while (l <= d) { mid = (l + d) / 2ll; if (check(mid) <= L) { ans = mid; l = mid + 1; } else d = mid - 1; } check(ans); cout << "YES\n"; for (int i = int(1); i <= int(m); i++) { cout << v[i] << ' ' << u[i] << ' ' << w[i] << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 10000000000000000; const int maxN = 1000 + 10; const int maxM = 20000 + 10; long long d1; int er[maxM]; vector<int> paths1; struct Edge { int from, to; long long dist; }; struct HeapNode { long long d; int u; bool operator<(const HeapNode& rhs) const { return d > rhs.d; } }; vector<Edge> edges; vector<int> G[maxN]; bool done[maxN]; long long d[maxN]; int p[maxM]; struct Dijkstra { int n, m; void init(int n) { this->n = n; for (int i = 0; i < n; i++) G[i].clear(); edges.clear(); } void AddEdge(int from, int to, long long dist) { edges.push_back((Edge){from, to, dist}); m = edges.size(); G[from].push_back(m - 1); } void dijkstra(int s) { priority_queue<HeapNode> Q; for (int i = 0; i < n; i++) d[i] = INF; d[s] = 0; memset(done, 0, sizeof(done)); Q.push((HeapNode){0, s}); while (!Q.empty()) { HeapNode x = Q.top(); Q.pop(); int u = x.u; if (done[u]) continue; done[u] = true; for (int i = 0; i < G[u].size(); i++) { Edge& e = edges[G[u][i]]; if (d[e.to] > d[u] + e.dist) { d[e.to] = d[u] + e.dist; p[e.to] = G[u][i]; Q.push((HeapNode){d[e.to], e.to}); } } } } void GetShortestPaths(int s, int u) { dijkstra(s); if (d[u] >= INF) { d1 = d[u]; return; } for (int i = u; i <= u; i++) { d1 = d[i]; paths1.clear(); int t = i; paths1.push_back(t); while (t != s) { paths1.push_back(edges[p[t]].from); t = edges[p[t]].from; } reverse(paths1.begin(), paths1.end()); } } }; Dijkstra solver; Edge ei[10000 + 10]; int main() { int n, m, s, t; long long L; while (~scanf("%d%d%lld%d%d", &n, &m, &L, &s, &t)) { memset(er, 0, sizeof(er)); int er_cnt = 0; for (long long i = 0; i < m; i++) { scanf("%d%d%lld", &ei[i].from, &ei[i].to, &ei[i].dist); if (ei[i].dist == 0) { er[i] = ++er_cnt; } } solver.init(n); for (int i = 0; i < m; i++) { if (er[i]) ei[i].dist = L; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist); } solver.GetShortestPaths(s, t); if (d1 < L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (long long i = 0; i < m; i++) printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { solver.init(n); for (int i = 0; i < m; i++) { if (er[i]) ei[i].dist = 1; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist); } solver.GetShortestPaths(s, t); if (d1 > L) printf("NO\n"); else if (d1 == L) { printf("YES\n"); for (int i = 0; i < m; i++) printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); } else { int x = 1, y = er_cnt, ans; while (x <= y) { int mid = (x + y) / 2; solver.init(n); for (int i = 0; i < m; i++) { if (1 <= er[i] && er[i] <= mid) ei[i].dist = 1; else if (er[i] > mid) ei[i].dist = L; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist); } solver.GetShortestPaths(s, t); if (d1 <= L) { ans = mid; y = mid - 1; } else x = mid + 1; } solver.init(n); for (int i = 0; i < m; i++) { if (1 <= er[i] && er[i] <= ans) ei[i].dist = 1; else if (er[i] > ans) ei[i].dist = L; solver.AddEdge(ei[i].from, ei[i].to, ei[i].dist); solver.AddEdge(ei[i].to, ei[i].from, ei[i].dist); } solver.GetShortestPaths(s, t); long long add = L - d1; long long pre, cnt = 0, now; printf("YES\n"); for (int i = 0; i < m; i++) { if (er[i] != ans) printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist); else printf("%d %d %lld\n", ei[i].from, ei[i].to, ei[i].dist + add); } } } } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, s, t, l, rest; long long d[1010], d2[1010], w[10010]; bool zeredg[10010]; pair<long long, long long> edg[10010]; vector<vector<long long> > edglist; void dijkstra(long long dist[], bool sec) { set<pair<long long, long long> > najbl; dist[s] = 0; najbl.insert({0, s}); for (long long i = 0; i < n; ++i) { if (s != i) { dist[i] = 1e18; najbl.insert({dist[i], i}); } } while (najbl.size()) { long long v = najbl.begin()->second; najbl.erase(najbl.begin()); for (auto i : edglist[v]) { long long u = edg[i].first + edg[i].second - v; if (sec and dist[u] > dist[v] + w[i] and zeredg[i] and w[i] < d[u] + rest - dist[v]) { w[i] = d[u] + rest - dist[v]; } if (dist[u] > dist[v] + w[i]) { najbl.erase({dist[u], u}); dist[u] = dist[v] + w[i]; najbl.insert({dist[u], u}); } } } } signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m >> l >> s >> t; vector<long long> vi; edglist.resize(n, vi); for (long long i = 0; i < m; ++i) { long long u, v, e; cin >> u >> v >> e; edglist[u].push_back(i); edglist[v].push_back(i); edg[i] = {u, v}; if (e) { w[i] = e; } else { w[i] = 1; zeredg[i] = 1; } } dijkstra(d, 0); if (d[t] > l) { cout << "NO"; return 0; } else if (d[t] == l) { cout << "YES\n"; for (long long i = 0; i < m; ++i) { cout << edg[i].first << " " << edg[i].second << " " << w[i] << "\n"; } return 0; } rest = l - d[t]; dijkstra(d2, 1); if (d2[t] != l) { cout << "NO\n"; return 0; } cout << "YES\n"; for (long long i = 0; i < m; ++i) { cout << edg[i].first << " " << edg[i].second << " " << w[i] << "\n"; } }
#include <bits/stdc++.h> using namespace std; int n, m, s, t; long long val[20010], dis[2000], l; int sum = 0, des[20010], nxt[20010], e[20010], fst[2000]; int pre[2000], pree[2000]; bool b[20010], f[20010]; void add(int x, int y, long long z) { des[++sum] = y, val[sum] = z, nxt[sum] = fst[x], fst[x] = sum, e[sum] = sum + 1; if (z == 0) val[sum] = 233333333333, b[sum] = 1; des[++sum] = x, val[sum] = z, nxt[sum] = fst[y], fst[y] = sum, e[sum] = sum - 1; if (z == 0) val[sum] = 233333333333, b[sum] = 1; } void pr() { memset(f, 0, sizeof f); for (int i = 1; i <= sum; ++i) if (!f[i]) { printf("%d %d %I64d\n", des[e[i]], des[i], val[i]); f[i] = f[e[i]] = 1; } } int main() { scanf("%d%d%I64d%d%d", &n, &m, &l, &s, &t); memset(b, 0, sizeof b); for (int i = 1; i <= m; ++i) { int x, y; long long z; scanf("%d%d%I64d", &x, &y, &z); add(x, y, z); } for (int i = 0; i < n; ++i) dis[i] = 233333333333; queue<int> q; q.push(s); dis[s] = 0; while (!q.empty()) { int x = q.front(); q.pop(); for (int i = fst[x]; i; i = nxt[i]) { int y = des[i]; if (dis[x] + val[i] < dis[y]) dis[y] = dis[x] + val[i], q.push(y); } } if (dis[t] < l) { printf("NO"); return 0; } if (dis[t] == l) { printf("YES\n"); pr(); return 0; } for (int i = 1; i <= sum; ++i) if (b[i]) val[i] = 1; for (int i = 0; i < n; ++i) dis[i] = 233333333333; q.push(s); dis[s] = 0; while (!q.empty()) { int x = q.front(); q.pop(); for (int i = fst[x]; i; i = nxt[i]) { int y = des[i]; if (dis[x] + val[i] < dis[y]) { dis[y] = dis[x] + val[i], pre[y] = x, pree[y] = i; q.push(y); } } } if (dis[t] > l) { printf("NO"); return 0; } while (dis[t] < l) { for (int i = t; i != s; i = pre[i]) { if (b[pree[i]]) { val[pree[i]] += l - dis[t], val[e[pree[i]]] += l - dis[t]; break; } } for (int i = 0; i < n; ++i) dis[i] = 233333333333; q.push(s); dis[s] = 0; while (!q.empty()) { int x = q.front(); q.pop(); for (int i = fst[x]; i; i = nxt[i]) { int y = des[i]; if (dis[x] + val[i] < dis[y]) { dis[y] = dis[x] + val[i], pre[y] = x, pree[y] = i; q.push(y); } } } } printf("YES\n"); pr(); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, L, S, T; int st[20010], ed[20010], w[20010]; int last[1010], tot; struct edge { int t, next, w; bool flag; } e[20010 * 2]; void add(int from, int to, int w) { e[++tot].t = to, e[tot].next = last[from], e[tot].w = w, last[from] = tot; e[++tot].t = from, e[tot].next = last[to], e[tot].w = w, last[to] = tot; } int q[10 * 20010]; long long d[2][1010]; bool in[1010]; void spfa(int s, long long *dis) { int l = 0, r = 0; for (int i = 0; i < n; i++) dis[i] = 2147483647; q[r++] = s, dis[s] = 0; while (l < r) { int now = q[l++]; in[now] = false; for (int h = last[now]; h; h = e[h].next) { int to = e[h].t; if (dis[now] + e[h].w < dis[to]) { dis[to] = dis[now] + e[h].w; if (!in[to]) in[to] = true, q[r++] = to; } } } } struct node { int id, w; node(int _id, int _w) { id = _id, w = _w; } friend bool operator<(const node &u, const node &v) { return u.w > v.w; } }; priority_queue<node> Q; bool use[1010]; long long dist[1010]; void work(int s) { for (int i = 0; i < n; i++) dist[i] = 2147483647; dist[s] = 0; memset(use, 0, sizeof(use)); while (!Q.empty()) { node now = Q.top(); Q.pop(); if (use[now.id]) continue; use[now.id] = true; for (int h = last[now.id]; h; h = e[h].next) { int to = e[h].t; if (s == S && e[h].flag) { if (dist[now.id] + d[1][to] + e[h].w <= L) e[h].w = e[h ^ 1].w = L - dist[now.id] - d[1][to]; } if (dist[now.id] + e[h].w < dist[to]) dist[to] = dist[now.id] + e[h].w; Q.push(node(to, dist[to])); } } } int main() { scanf("%d%d%d%d%d", &n, &m, &L, &S, &T); tot = 1; for (int i = 1; i <= m; i++) scanf("%d%d%d", &st[i], &ed[i], &w[i]); for (int i = 1; i <= m; i++) add(st[i], ed[i], w[i]); for (int i = 2; i <= tot; i++) if (!e[i].w) e[i].flag = 1; for (int i = 2; i <= tot; i++) if (!e[i].w) e[i].w = 1; Q.push(node(T, 0)); work(T); for (int i = 0; i < n; i++) d[1][i] = dist[i]; Q.push(node(S, 0)); work(S); for (int i = 2; i <= tot; i += 2) if (e[i].flag) w[i / 2] = e[i].w; if (dist[T] != L) return puts("NO"), 0; puts("YES"); for (int i = 1; i <= m; i++) printf("%d %d %d\n", st[i], ed[i], w[i]); return 0; }
#include <bits/stdc++.h> using namespace std; using ii = pair<long long int, long long int>; const long long int N = 1000 + 5, INF = 1e18, M = 10000 + 5; vector<long long int> G[N]; vector<ii> g[N]; long long int dist[N][N], d1[N], d2[N], U[M], V[M], W[M], p[N]; long long int n, m, s, t, L; void djk() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d1[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (auto& it : g[u]) { long long int v = it.first, w = it.second; if (d + w < d1[v]) { d1[v] = d + w; q.push({d1[v], v}); } } } } bool djk2() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (long long int v : G[u]) { long long int w = dist[u][v]; if (d + abs(w) < d2[v]) { d2[v] = d + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] > L) { return false; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -2; } cur = p[cur]; } for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < n; j++) { if (dist[i][j] == -1) { dist[i][j] = INF; } } } cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -1; } cur = p[cur]; } return true; } bool relax() { for (long long int i = 0; i < n; i++) { d2[i] = INF; } priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second, d = q.top().first; q.pop(); for (auto& v : G[u]) { long long int w = dist[u][v]; if (d + abs(w) < d2[v]) { d2[v] = d + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] == L) { return true; } long long int cur = t; bool check = false; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0 and !check) { dist[cur][par] = dist[par][cur] = abs(dist[par][cur]) + L - d2[t]; check = true; } if (check) { break; } cur = p[cur]; } return false; } int32_t main() { cin.tie(0)->sync_with_stdio(0); cin >> n >> m >> L >> s >> t; for (long long int i = 0; i <= n; i++) { d1[i] = d2[i] = INF; } for (long long int i = 0, u, v; i < m; i++) { cin >> u >> v >> W[i]; U[i] = u, V[i] = v; if (W[i] != 0) { g[u].push_back({v, W[i]}); g[v].push_back({u, W[i]}); G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = W[i]; } else { G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = -1; } } djk(); if (d1[t] < L) { cout << "NO\n"; return 0; } if (d1[t] == L) { cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " "; cout << ((W[i] == 0) ? INF : W[i]) << "\n"; } return 0; } if (!djk2()) { cout << "NO\n"; return 0; } while (!relax()) { relax(); } cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " " << abs(dist[U[i]][V[i]]) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; int mult(int x, int y) { long long int ans, x1 = (long long int)x, y1 = (long long int)y; ans = (x1 * y1) % 1000000007; return (int)ans; } int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } int lcm(int a, int b) { return a * (b / gcd(a, b)); } long long int pow1(long long int a, long long int b) { long long int ans = 1; while (b > 0) { if (b & 1) ans = (ans * a) % 1000000007; a = (a * a) % 1000000007; b >>= 1; } return ans; } int mina(int arr[], int n) { int x = arr[0], i, pos = 0; for (i = 1; i < n; i++) { if (arr[i] < x) { x = arr[i]; pos = i; } } return x; } int maxa(int arr[], int n) { int x = arr[0], i, pos = 0; for (i = 1; i < n; i++) { if (arr[i] > x) { x = arr[i]; pos = i; } } return x; } vector<vector<pair<long long int, long long int> > > v; vector<long long int> dist; multiset<pair<long long int, long long int> > pq; vector<long long int> prev1; vector<pair<long long int, long long int> > e; long long int w[10005]; int f[10005]; bool vis[10005]; long long int dijkstra(long long int n, long long int src, long long int des) { pq.clear(); int i; for (i = 0; i < n + 2; i++) dist[i] = LLONG_MAX, vis[i] = false; ; pq.insert(make_pair(0, src)); dist[src] = 0; prev1[src] = -1; pair<long long int, long long int> front; long long int d, ver; while (pq.size()) { front = *pq.begin(); pq.erase(pq.begin()); d = front.first; ver = front.second; if (vis[ver]) continue; vis[ver] = true; if (ver == des) break; for (vector<pair<long long int, long long int> >::iterator itr = v[ver].begin(); itr != v[ver].end(); itr++) { long long int ind = (*itr).first, v1 = (*itr).second; if (vis[v1]) continue; if (dist[ver] + w[ind] < dist[v1]) { prev1[v1] = ind; dist[v1] = dist[ver] + w[ind]; pq.insert(make_pair(dist[v1], v1)); } } } return dist[des]; } bool fun(long long int st, long long int dest, long long int add) { long long int curr = dest; while (curr != st) { long long int ind = prev1[curr]; if (f[ind] == 1) { w[ind] += add; return true; } if (curr == e[ind].second) curr = e[ind].first; else curr = e[ind].second; } return false; } int main() { ios::sync_with_stdio(false); long long int x, y, w1, n, i, m, l, s, t; cin >> n >> m >> l >> s >> t; v.resize(n + 4); dist.resize(n + 4); prev1.resize(n + 4); for (i = 0; i < m; i++) { cin >> x >> y >> w1; v[x].push_back(make_pair(i, y)); v[y].push_back(make_pair(i, x)); e.push_back(make_pair(x, y)); w[i] = w1; if (!w[i]) w[i]++, f[i] = 1; } while (true) { long long int d = dijkstra(n, s, t); if (d > l) { cout << "NO" << endl; return 0; } if (d == l) break; if (fun(s, t, l - d) == false) { cout << "NO" << endl; return 0; } } cout << "YES" << endl; for (i = 0; i < m; i++) cout << e[i].first << " " << e[i].second << " " << w[i] << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1000; const long long INF = 1e18; vector<pair<int, int> > v[MAXN + 1]; priority_queue<pair<long long, int> > q; long long dist[MAXN + 1]; int cnt = 0; long long* ret; long long value[10001]; bool ck[1001][1001]; bool change; void djik(int s, int e, int I) { change = false; for (int i = 0; i < 1001; i++) dist[i] = INF; dist[s] = 0; q.push(make_pair(0LL, s)); while (!q.empty()) { long long cost = -q.top().first; int x = q.top().second; q.pop(); if (cost > dist[x]) continue; for (int i = 0; i < v[x].size(); i++) { if (value[v[x][i].second] >= INF && cnt < I) { ret = &value[v[x][i].second]; *ret = 1; cnt++; change = true; } long long weight = cost + value[v[x][i].second]; int next = v[x][i].first; if (dist[next] > weight) { dist[next] = weight; q.push(make_pair(-weight, next)); } } } } int main() { int n, m, L, s, e; int zerocnt = 0; scanf("%d %d %d %d %d", &n, &m, &L, &s, &e); for (int i = 0; i < m; i++) { int a, b; long long w; scanf("%d %d %lld", &a, &b, &w); if (w == 0) { w = 1e18; zerocnt++; } value[i] = w; v[a].push_back(make_pair(b, i)); v[b].push_back(make_pair(a, i)); } djik(s, e, 0); if (dist[e] < L) { printf("NO"); return 0; } else if (dist[e] == L) { printf("YES\n"); for (int j = 0; j < n; j++) { for (int k = 0; k < v[j].size(); k++) { if (!ck[j][v[j][k].first]) printf("%d %d %lld\n", j, v[j][k].first, value[v[j][k].second]); ck[j][v[j][k].first] = ck[v[j][k].first][j] = true; } } return 0; } for (int i = 1; i <= zerocnt; i++) { djik(s, e, i); if (dist[e] <= L) { printf("YES\n"); if (change) *ret += L - dist[e]; for (int j = 0; j < n; j++) { for (int k = 0; k < v[j].size(); k++) { if (!ck[j][v[j][k].first]) printf("%d %d %lld\n", j, v[j][k].first, value[v[j][k].second]); ck[j][v[j][k].first] = ck[v[j][k].first][j] = true; } } return 0; } } printf("NO"); }
#include <bits/stdc++.h> using namespace std; using ii = pair<long long int, long long int>; const long long int N = 1000 + 5, INF = 1e18, M = 10000 + 5; vector<long long int> G[N]; vector<ii> g[N]; long long int dist[N][N], d1[N], d2[N], U[M], V[M], W[M], p[N]; long long int n, m, s, t, L; void djk() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d1[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (auto& it : g[u]) { long long int v = it.first, w = it.second; if (d1[u] + w < d1[v]) { d1[v] = d1[u] + w; q.push({d1[v], v}); } } } } bool djk2() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (long long int v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] > L) { return false; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -2; } cur = p[cur]; } for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < n; j++) { if (dist[i][j] == -1) { dist[i][j] = INF; } } } cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -1; } cur = p[cur]; } return true; } bool relax() { for (long long int i = 0; i < n; i++) { d2[i] = INF; } priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (auto& v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] == L) { return true; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[cur][par] = dist[par][cur] = abs(dist[par][cur]) + L - d2[t]; break; } cur = p[cur]; } return false; } int32_t main() { cin.tie(0)->sync_with_stdio(0); cin >> n >> m >> L >> s >> t; for (long long int i = 0; i <= n; i++) { d1[i] = d2[i] = INF; } for (long long int i = 0, u, v; i < m; i++) { cin >> u >> v >> W[i]; U[i] = u, V[i] = v; if (W[i] != 0) { g[u].push_back({v, W[i]}); g[v].push_back({u, W[i]}); G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = W[i]; } else { G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = -1; } } djk(); if (d1[t] < L) { cout << "NO\n"; return 0; } if (d1[t] == L) { cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " "; cout << ((W[i] == 0) ? INF : W[i]) << "\n"; } return 0; } if (!djk2()) { cout << "NO\n"; return 0; } while (!relax()) { relax(); } cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " " << abs(dist[U[i]][V[i]]) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> T input() { T ans = 0, m = 1; char c = ' '; while (!((c >= '0' && c <= '9') || c == '-')) c = getchar(); if (c == '-') m = -1, c = getchar(); while (c >= '0' && c <= '9') { ans = ans * 10 + (c - '0'), c = getchar(); } return ans * m; } template <typename T> void read(T& a) { a = input<T>(); } template <typename T, typename... R> void read(T& a, R&... r) { a = input<T>(); read(r...); } const int N = 1e3 + 12; const int M = 1e4 + 12; const long long INF = 2e18; int x[M], y[M], w[M]; bool emp[M]; long long dist1[N], dist2[N]; vector<int> g[N]; int n, m, L, s, t; long long need; void dijk(long long* dist, bool fl) { priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > q; dist[s] = 0; q.push({0, s}); while (!q.empty()) { int v = q.top().second; long long d = q.top().first; q.pop(); if (d > dist[v]) continue; for (auto i : g[v]) { int u = x[i] + y[i] - v; if (fl && emp[i] && d + w[i] < dist[u] && d + w[i] < dist1[u] + need) { w[i] = dist1[u] + need - d; } if (d + w[i] < dist[u]) { dist[u] = d + w[i]; q.push({dist[u], u}); } } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); read(n, m, L, s, t); for (int i = 0; i < m; ++i) { read(x[i], y[i], w[i]); g[x[i]].push_back(i); g[y[i]].push_back(i); if (!w[i]) { emp[i] = w[i] = 1; } } for (int i = 0; i < n; ++i) { dist1[i] = dist2[i] = INF; } dijk(dist1, 0); if (dist1[t] > L) { cout << "NO\n"; return 0; } need = L - dist1[t]; dijk(dist2, 1); if (dist2[t] != L) { cout << "NO\n"; return 0; } cout << "YES\n"; for (int i = 0; i < m; ++i) { cout << x[i] << " " << y[i] << " " << w[i] << "\n"; } }
#include <bits/stdc++.h> using namespace std; string to_string(string s) { return '"' + s + '"'; } string to_string(const char* s) { return to_string((string)s); } string to_string(bool b) { return (b ? "true" : "false"); } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto& x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } template <typename T> void dout(string name, int idx, T arg) { cerr << name << " = " << to_string(arg); } template <typename T1, typename... T2> void dout(string names, int idx, T1 arg, T2... args) { cerr << names.substr(0, names.find(',')) << " = " << to_string(arg) << ", "; dout(names.substr(names.find(',') + 2), idx + 1, args...); } const long long inf = (long long)1e18; int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m, L, beg, end; cin >> n >> m >> L >> beg >> end; vector<vector<pair<int, long long>>> g(n); vector<int> deleted(m); vector<array<pair<int, int>, 2>> where(m); for (int i = 0; i < m; i++) { int a, b; long long w; cin >> a >> b >> w; if (w == 0) { deleted[i] = 1; w = inf; } where[i][0] = make_pair(a, g[a].size()); where[i][1] = make_pair(b, g[b].size()); g[a].emplace_back(b, w); g[b].emplace_back(a, w); } auto Dijkstra = [&]() { set<pair<long long, int>> s; vector<long long> d(n, inf); d[beg] = 0; for (int i = 0; i < n; i++) { if (d[i] < inf) { s.insert(make_pair(d[i], i)); } } while (!s.empty()) { int v = s.begin()->second; s.erase(s.begin()); for (const auto& [u, w] : g[v]) { if (d[v] + w < d[u]) { if (d[u] < inf) { s.erase(make_pair(d[u], u)); } d[u] = d[v] + w; s.insert(make_pair(d[u], u)); } } } return d[end]; }; if (Dijkstra() < L) { cout << "NO" << '\n'; exit(0); } for (int v = 0; v < n; v++) { for (auto& [u, w] : g[v]) { if (w == inf) { w = 1; } } } if (Dijkstra() > L) { cout << "NO" << '\n'; exit(0); } int low = 0, high = m - 1, mid; while (low < high) { mid = (low + high) >> 1; for (int j = 0; j <= mid; j++) { if (deleted[j]) { g[where[j][0].first][where[j][0].second].second = 1; g[where[j][1].first][where[j][1].second].second = 1; } } for (int j = mid + 1; j < m; j++) { if (deleted[j]) { g[where[j][0].first][where[j][0].second].second = inf; g[where[j][1].first][where[j][1].second].second = inf; } } if (Dijkstra() <= L) { high = mid; } else { low = mid + 1; } } for (int j = 0; j <= low; j++) { if (deleted[j]) { g[where[j][0].first][where[j][0].second].second = 1; g[where[j][1].first][where[j][1].second].second = 1; } } for (int j = low + 1; j < m; j++) { if (deleted[j]) { g[where[j][0].first][where[j][0].second].second = inf; g[where[j][1].first][where[j][1].second].second = inf; } } long long r = L - Dijkstra(); assert(r >= 0); if (deleted[low]) { g[where[low][0].first][where[low][0].second].second = 1 + r; g[where[low][1].first][where[low][1].second].second = 1 + r; } cout << "YES" << '\n'; for (int j = 0; j < m; j++) { assert(g[where[j][0].first][where[j][0].second].second == g[where[j][1].first][where[j][1].second].second); cout << where[j][0].first << ' ' << where[j][1].first << ' ' << g[where[j][0].first][where[j][0].second].second << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; using ii = pair<long long int, long long int>; const long long int N = 1000 + 5, INF = 1e18, M = 10000 + 5; vector<long long int> G[N]; vector<ii> g[N]; long long int dist[N][N], d1[N], d2[N], U[M], V[M], W[M], p[N]; long long int n, m, s, t, L; void djk() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d1[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (auto& it : g[u]) { long long int v = it.first, w = it.second; if (d1[u] + w < d1[v]) { d1[v] = d1[u] + w; q.push({d1[v], v}); } } } } bool djk2() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); d2[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (long long int v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] > L) { return false; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -2; } cur = p[cur]; } for (long long int i = 0; i < n; i++) { for (long long int j = 0; j < n; j++) { if (dist[i][j] == -1) { dist[i][j] = INF; } } } cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[par][cur] = dist[cur][par] = -1; } cur = p[cur]; } return true; } bool relax() { priority_queue<ii, vector<ii>, greater<ii> > q; q.push({0, s}); for (long long int i = 0; i < n; i++) { d2[i] = INF; } d2[s] = 0; while (!q.empty()) { long long int u = q.top().second; q.pop(); for (auto& v : G[u]) { long long int w = dist[u][v]; if (d2[u] + abs(w) < d2[v]) { d2[v] = d2[u] + abs(w); p[v] = u; q.push({d2[v], v}); } } } if (d2[t] == L) { return true; } long long int cur = t; while (cur != s) { long long int par = p[cur]; if (dist[cur][par] < 0) { dist[cur][par] = dist[par][cur] = abs(dist[par][cur]) + L - d2[t]; break; } cur = p[cur]; } return false; } int32_t main() { cin.tie(0)->sync_with_stdio(0); cin >> n >> m >> L >> s >> t; for (long long int i = 0; i <= n; i++) { d1[i] = d2[i] = INF; } for (long long int i = 0, u, v; i < m; i++) { cin >> u >> v >> W[i]; U[i] = u, V[i] = v; if (W[i] != 0) { g[u].push_back({v, W[i]}); g[v].push_back({u, W[i]}); G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = W[i]; } else { G[u].push_back(v); G[v].push_back(u); dist[u][v] = dist[v][u] = -1; } } djk(); if (d1[t] < L) { cout << "NO\n"; return 0; } if (d1[t] == L) { cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " "; cout << ((W[i] == 0) ? INF : W[i]) << "\n"; } return 0; } if (!djk2()) { cout << "NO\n"; return 0; } while (!relax()) { relax(); } cout << "YES\n"; for (long long int i = 0; i < m; i++) { cout << U[i] << " " << V[i] << " " << abs(dist[U[i]][V[i]]) << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int to, next, v, mk; } e[20010 << 2]; int head[20010]; int cnt; int n, m, l, s, E; int t, h; int dis[20010], vis[20010], q[20010]; void link(int x, int y, int z, int w) { e[cnt] = (edge){y, head[x], z, w}; head[x] = cnt++; } void add(int x, int y, int z, int w) { link(x, y, z, w); link(y, x, z, w); } void SPFA() { memset(vis, 0, sizeof(vis)); memset(dis, 63, sizeof(dis)); h = 0; q[t = 1] = s; vis[s] = 1; dis[s] = 0; while (h != t) { int now = q[h = h % n + 1]; vis[now] = 0; for (int i = head[now]; ~i; i = e[i].next) { int y = e[i].to; if (dis[y] > dis[now] + e[i].v) { dis[y] = dis[now] + e[i].v; if (!vis[y]) { vis[y] = 1; q[t = t % n + 1] = y; } } } } } int main() { memset(head, -1, sizeof(head)); scanf("%d%d%d%d%d", &n, &m, &l, &s, &E); for (int i = 0, x, y, z; i < m; i++) { scanf("%d%d%d", &x, &y, &z); add(x, y, z ? z : 1, z == 0); } SPFA(); if (dis[E] > l) { printf("NO"); return 0; } for (int k = 0; k < n; k++) for (int i = head[k]; ~i; i = e[i].next) if (i & 1) if (e[i].mk) { if (dis[E] == l) goto YJY; e[i ^ 1].v = e[i].v = l - dis[E] + 1; SPFA(); } if (dis[E] != l) { printf("NO"); return 0; } YJY : { printf("YES\n"); for (int k = 0; k < n; k++) for (int i = head[k]; ~i; i = e[i].next) if (i & 1) printf("%d %d %d\n", e[i ^ 1].to, e[i].to, e[i].v); } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 0x3f3f3f3f; const int maxn = 10000 + 16; int head[maxn]; struct Edge { int v, next; long long w; bool f; } edge[maxn * 2]; int cnt; int n, m, s, t; long long L; int inque[maxn]; long long d[maxn]; int vis[maxn]; void add(int u, int v, long long w, bool f) { edge[cnt].v = v; edge[cnt].w = w; edge[cnt].f = f; edge[cnt].next = head[u]; head[u] = cnt++; } void add_edge(int u, int v, long long w, bool f) { add(u, v, w, f); add(v, u, w, f); } void init() { cnt = 0; memset(head, -1, sizeof(head)); } void spfa(int s) { memset(vis, 0, sizeof(vis)); memset(d, INF, sizeof(d)); memset(inque, false, sizeof(inque)); queue<int> Q; d[s] = 0; Q.push(s); while (!Q.empty()) { int u = Q.front(); Q.pop(); inque[u] = false; for (int i = head[u]; i != -1; i = edge[i].next) { int v = edge[i].v; long long w = edge[i].w; if (d[v] > d[u] + w) { d[v] = d[u] + w; if (!inque[v]) { inque[v] = true; Q.push(v); if (vis[v] == n) { return; } } } } } } bool cal() { memset(vis, 0, sizeof(vis)); queue<int> q; q.push(s); vis[s] = 1; while (!q.empty()) { int u = q.front(); q.pop(); for (int i = head[u]; i != -1; i = edge[i].next) { int v = edge[i].v; if (v == t) return true; if (vis[v]) continue; vis[v] = 1; q.push(v); } } return false; } bool solve() { spfa(s); if (d[t] > L) return false; for (int u = 0; u < n; u++) { for (int i = head[u]; i != -1; i = edge[i].next) { if (!edge[i].f || (i & 1)) continue; if (d[t] == L) return true; edge[i].w = edge[i ^ 1].w = L - d[t] + 1; spfa(s); } } return d[t] == L; } int main() { cin >> n >> m >> L >> s >> t; init(); int u, v; long long w; for (int i = 0; i < m; i++) { cin >> u >> v >> w; add_edge(u, v, (w ? w : 1), w == 0); } if (!cal() || !solve()) { cout << "NO" << endl; } else { cout << "YES" << endl; for (int i = 0; i < n; i++) { for (int j = head[i]; j != -1; j = edge[j].next) { if (!(j & 1)) printf("%d %d %I64d\n", i, edge[j].v, edge[j].w); } } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 300010; const long long mod = 1000000007; int n, m, p[N], s, t, back[N]; long long L; long long cost[N]; long long weight[N]; bool vis[N]; struct edge { int v, idx; long long cost; int parent; edge(int _v, int _parent, int _idx, long long _cost) { v = _v; idx = _idx; cost = _cost; parent = _parent; } edge(int _v, int _idx) { v = _v; idx = _idx; } bool operator<(const edge &rhs) const { return cost > rhs.cost; } }; struct state { int u, v; long long cost; state() {} state(int _u, int _v, long long _cost) { u = _u; v = _v; cost = _cost; } }; vector<edge> g[N]; state e[N]; bool empty[N]; vector<int> used; bool have[N]; void reset() { for (int i = 0; i <= n; i++) { cost[i] = 1e18; vis[i] = 0; p[i] = -1; back[i] = -1; } } void dijsktra(int u) { reset(); priority_queue<edge> q; cost[u] = 0; q.push(edge(u, -1, -1, 0)); while (!q.empty()) { edge cur = q.top(); q.pop(); if (vis[cur.v]) continue; vis[cur.v] = 1; p[cur.v] = cur.parent; back[cur.v] = cur.idx; for (int i = 0; i < g[cur.v].size(); i++) { edge nxt = g[cur.v][i]; if (cost[nxt.v] > cost[cur.v] + weight[nxt.idx] && weight[nxt.idx]) { cost[nxt.v] = cost[cur.v] + weight[nxt.idx]; q.push(edge(nxt.v, cur.v, nxt.idx, cost[nxt.v])); } } } } int main() { scanf("%d%d%lld%d%d", &n, &m, &L, &s, &t); for (int i = 0; i < m; ++i) { scanf("%d%d%lld", &e[i].u, &e[i].v, &weight[i]); if (!weight[i]) empty[i] = true; g[e[i].u].push_back(edge(e[i].v, i)); g[e[i].v].push_back(edge(e[i].u, i)); } dijsktra(s); if (cost[t] < L) { puts("NO"); } else { for (int i = 0; i < m; i++) { if (empty[i]) weight[i] = 1; } dijsktra(s); if (cost[t] > L) { puts("NO"); } else { puts("YES"); while (1) { dijsktra(s); if (cost[t] == L) { break; } else { int curS = t; int chng; while (curS != s) { used.push_back(back[curS]); have[used.back()] = true; if (empty[used.back()]) { chng = used.back(); } curS = p[curS]; } weight[chng] += L - cost[t]; for (int i = 0; i < m; i++) { if (!have[i] && empty[i]) { weight[i] = 2e9; } } while (!used.empty() && used.back()) { have[used.back()] = 0; used.pop_back(); } } } for (int i = 0; i < m; ++i) { printf("%d %d %lld\n", e[i].u, e[i].v, weight[i]); } } } return 0; }
#include <bits/stdc++.h> using namespace std; const unsigned long long maxn = 1000 + 10; const int INF = 0x3f3f3f3f; const double eps = 1e-10; const double pi = acos(-1.0); int g[maxn][maxn]; struct haha { int x, y, w; } p[maxn * 10], p0[maxn * 10]; struct Edge { int from, to, dist; }; struct HeapNode { int d, u; bool operator<(const HeapNode& rhs) const { return d > rhs.d; } }; struct Dijkstra { int n, m; vector<Edge> edges; vector<int> G[maxn]; bool done[maxn]; int d[maxn]; int p[maxn]; void init(int n) { this->n = n; for (int i = 0; i < n; ++i) G[i].clear(); edges.clear(); } void AddEdge(int from, int to, int dist) { edges.push_back((Edge){from, to, dist}); m = edges.size(); G[from].push_back(m - 1); } void dijkstra(int s) { priority_queue<HeapNode> Q; p[s] = -1; for (int i = 0; i < n; ++i) d[i] = INF; d[s] = 0; memset(done, 0, sizeof done); Q.push((HeapNode){0, s}); while (!Q.empty()) { HeapNode x = Q.top(); Q.pop(); int u = x.u; if (done[u]) continue; done[u] = true; for (int i = 0; i < G[u].size(); ++i) { Edge& e = edges[G[u][i]]; if (d[e.to] > d[u] + e.dist) { d[e.to] = d[u] + e.dist; p[e.to] = e.from; Q.push((HeapNode){d[e.to], e.to}); } } } } } dij; int main() { int n, m, L, s, t; int cnt = 0, cnt2 = 0; scanf("%d %d %d %d %d", &n, &m, &L, &s, &t); dij.init(n); for (int i = 0; i < m; ++i) { int u, v, w; scanf("%d %d %d", &u, &v, &w); g[u][v] = g[v][u] = w; if (w) { p[cnt].x = u; p[cnt].w = w; p[cnt++].y = v; dij.AddEdge(u, v, w); dij.AddEdge(v, u, w); } else { p0[cnt2].x = u; p0[cnt2].w = 0; p0[cnt2++].y = v; } } dij.dijkstra(s); if (dij.d[t] < L) return 0 * puts("NO"); if (dij.d[t] == L) { puts("YES"); for (int i = 0; i < cnt; ++i) { printf("%d %d %d\n", p[i].x, p[i].y, p[i].w); } for (int i = 0; i < cnt2; ++i) { printf("%d %d %d\n", p0[i].x, p0[i].y, INF); } return 0; } int pos = -1; for (int i = 0; i < cnt2; ++i) { dij.AddEdge(p0[i].x, p0[i].y, 1); dij.AddEdge(p0[i].y, p0[i].x, 1); dij.dijkstra(s); if (dij.d[t] > L) continue; pos = i; break; } if (pos == -1) return 0 * puts("NO"); puts("YES"); for (int i = 0; i < cnt; ++i) { printf("%d %d %d\n", p[i].x, p[i].y, p[i].w); } for (int i = 0; i < pos; ++i) printf("%d %d %d\n", p0[i].x, p0[i].y, 1); printf("%d %d %d\n", p0[pos].x, p0[pos].y, L - dij.d[t] + 1); for (int i = pos + 1; i < cnt2; ++i) printf("%d %d %d\n", p0[i].x, p0[i].y, INF); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = pow(10ll, 18); struct Edge { long long u, v, w; Edge(long long u0, long long v0, long long w0) : u(u0), v(v0), w(w0) {} }; long long other_node(long long u, const Edge &edge) { return edge.u == u ? edge.v : edge.u; } unordered_map<long long, bool> missing_edge; vector<Edge> edges; vector<vector<long long>> graph; long long L; long long start, target; void print_graph(const vector<Edge> &edges) { for (const auto &p : edges) { cout << p.u << " " << p.v << " " << p.w << endl; } } void shortest_path(vector<long long> &path, long long &len) { long long n = graph.size(); vector<long long> dist(n, INF); vector<long long> prev(n, -1); priority_queue<pair<long long, long long>, vector<pair<long long, long long>>, greater<pair<long long, long long>>> que; dist[start] = 0; que.push({0, start}); while (!que.empty()) { auto p = que.top(); que.pop(); long long d = p.first, u = p.second; if (d > dist[u]) { continue; } for (auto edge_ind : graph[u]) { long long v = other_node(u, edges[edge_ind]), w = edges[edge_ind].w; if (w != INF && dist[u] + w < dist[v]) { dist[v] = dist[u] + w; prev[v] = edge_ind; que.push({dist[v], v}); } } } path.clear(); len = dist[target]; if (prev[target] == -1) { return; } long long cur = target; while (prev[cur] != -1) { path.push_back(prev[cur]); cur = other_node(cur, edges[prev[cur]]); } } void solve() { for (auto &p : missing_edge) { edges[p.first].w = INF; } vector<long long> path; long long len; shortest_path(path, len); if (len < L) { cout << "NO" << endl; return; } if (len == L) { cout << "YES" << endl; print_graph(edges); return; } for (auto &p : missing_edge) { edges[p.first].w = 1; } shortest_path(path, len); if (len > L) { cout << "NO" << endl; return; } if (len < L) { for (auto edge_ind : path) { if (missing_edge.find(edge_ind) != missing_edge.end()) { missing_edge[edge_ind] = true; } } for (auto &p : missing_edge) { if (!p.second) { edges[p.first].w = INF; } } while (len < L) { for (auto edge_ind : path) { if (missing_edge.find(edge_ind) != missing_edge.end()) { edges[edge_ind].w += L - len; break; } } shortest_path(path, len); } } cout << "YES" << endl; print_graph(edges); } int main() { ios::sync_with_stdio(0); cin.tie(0); while (true) { long long n, m; cin >> n >> m >> L >> start >> target; if (!cin) { break; } graph.assign(n, {}); edges.clear(); edges.reserve(m); missing_edge.clear(); for (long long i = 0; i < m; ++i) { long long u, v, w; cin >> u >> v >> w; edges.push_back(Edge(u, v, w)); graph[u].push_back(i); graph[v].push_back(i); if (w == 0) { missing_edge[i] = false; } } solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, L, start, endP; vector<vector<long long> > edges; vector<vector<long long> > neighbors; vector<vector<long long> > paths; long long weights[1000][1000] = {0}; long long dijk() { vector<long long> distances(n, LLONG_MAX); distances[start] = 0; vector<bool> visited(n, false); priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > pq; pq.push({0, start}); while (!pq.empty()) { long long currentWeight = pq.top().first; long long currentNode = pq.top().second; pq.pop(); if (visited[currentNode]) continue; visited[currentNode] = true; if (currentNode == endP) break; for (long long i = 0; i < neighbors[currentNode].size(); i++) { long long currNeighbor = neighbors[currentNode][i]; long long currDist = weights[currentNode][currNeighbor]; if (currDist == -1) continue; if (currentWeight + currDist < distances[currNeighbor]) distances[currNeighbor] = currentWeight + currDist; if (!visited[currNeighbor]) pq.push({distances[currNeighbor], currNeighbor}); } } return distances[endP]; } long long dijk2() { vector<long long> distances(n, LLONG_MAX); distances[start] = 0; vector<bool> visited(n, false); priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > pq; pq.push({0, start}); paths[start].push_back(start); while (!pq.empty()) { long long currentWeight = pq.top().first; long long currentNode = pq.top().second; pq.pop(); if (visited[currentNode]) continue; visited[currentNode] = true; if (currentNode == endP) break; for (long long i = 0; i < neighbors[currentNode].size(); i++) { long long currNeighbor = neighbors[currentNode][i]; long long currDist = weights[currentNode][currNeighbor]; if (currDist == -1) currDist = 1; if (currentWeight + currDist < distances[currNeighbor]) { distances[currNeighbor] = currentWeight + currDist; paths[currNeighbor] = paths[currentNode]; paths[currNeighbor].push_back(currNeighbor); } if (!visited[currNeighbor]) pq.push({distances[currNeighbor], currNeighbor}); } } return distances[endP]; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> L >> start >> endP; edges.resize(m); neighbors.resize(n); paths.resize(n); long long from, to, weight; for (long long i = 0; i < m; i++) { cin >> from >> to >> weight; if (weight == 0) weight = -1; weights[from][to] = weight; weights[to][from] = weight; edges[i] = {from, to, weight}; neighbors[from].push_back(to); neighbors[to].push_back(from); } long long currMin = dijk(); if (currMin < L) { cout << "NO" << endl; return 0; } long long newMin = dijk2(); if (newMin > L) { cout << "NO" << endl; return 0; } for (long long i = 1; i < paths[endP].size(); i++) { long long prev = paths[endP][i - 1]; long long curr = paths[endP][i]; if (weights[prev][curr] == -1) { weights[prev][curr] = -2; weights[curr][prev] = -2; } } for (long long i = 0; i < edges.size(); i++) { long long from = edges[i][0]; long long to = edges[i][1]; long long weight = weights[from][to]; if (weight == -1) { weights[from][to] = 999999999999; weights[to][from] = 999999999999; } } for (long long i = 1; i < paths[endP].size(); i++) { long long prev = paths[endP][i - 1]; long long curr = paths[endP][i]; if (weights[prev][curr] == -2) { weights[prev][curr] = -1; weights[curr][prev] = -1; } } while (newMin != L) { long long diff = L - newMin; for (long long i = 1; i < paths[endP].size(); i++) { long long prev = paths[endP][i - 1]; long long curr = paths[endP][i]; if (weights[prev][curr] == -1) { weights[prev][curr] = diff + 1; weights[curr][prev] = diff + 1; break; } } paths.clear(); paths.resize(n); newMin = dijk2(); } for (long long i = 1; i < paths[endP].size(); i++) { long long prev = paths[endP][i - 1]; long long curr = paths[endP][i]; if (weights[prev][curr] == -1) { weights[prev][curr] = 1; weights[curr][prev] = 1; } } cout << "YES" << endl; for (long long i = 0; i < edges.size(); i++) { long long from = edges[i][0]; long long to = edges[i][1]; long long weight = weights[from][to]; if (weight == -1) weight = 999999999999; cout << from << ' ' << to << ' ' << weight << endl; } return 0; }
#include <bits/stdc++.h> const int N = 1010, M = 20010; const long long inf = 1LL << 50; int to[M], next[M], head[N], num[M], tot, h, t, n, m, k, q[N + 10]; long long dis[N], ans = inf; int x[M], y[M], pre[N], d[M], from[M], S, T, L; bool vis[M], can[M], flag; void add(const int &x, const int &y, const int &z) { to[++tot] = y; next[tot] = head[x]; num[head[x] = tot] = z; from[tot] = x; } void spfa() { memset(pre, -1, sizeof(pre)); for (int i = 0; i < n; ++i) dis[i] = inf; vis[S] = 1; for (dis[q[h = t = 1] = S] = 0; h != (t + 1) % N; h = (h + 1) % N) { for (int i = head[q[h]]; i; i = next[i]) if (dis[q[h]] + num[i] < dis[to[i]]) { dis[to[i]] = dis[q[h]] + num[i]; pre[to[i]] = i; if (!vis[to[i]]) vis[q[t = (t + 1) % N] = to[i]] = 1; } vis[q[h]] = 0; } } void retry() { for (int i = T; i != S && pre[i] != -1; i = from[pre[i]]) vis[pre[i] + 1 >> 1] = 0; tot = flag = 0; memset(head, 0, sizeof(head)); for (int i = 1; i <= m; ++i) add(x[i], y[i], d[i]), add(y[i], x[i], d[i]); spfa(); for (int i = T; i != S && pre[i] != -1; i = from[pre[i]]) { vis[pre[i] + 1 >> 1] = 1; if (can[pre[i] + 1 >> 1]) flag = 1; } } int main() { scanf("%d%d%d%d%d", &n, &m, &L, &S, &T); for (int i = 1; i <= m; ++i) { scanf("%d%d%d", x + i, y + i, d + i); if (d[i] == 0) d[i] = can[i] = 1; else { add(x[i], y[i], d[i]); add(y[i], x[i], d[i]); } } spfa(); if (dis[T] < L) { puts("NO"); return 0; } if (dis[T] == L) { puts("YES"); for (int i = 1; i <= m; ++i) printf("%d %d %d\n", x[i], y[i], d[i]); return 0; } retry(); if (dis[T] > L) { puts("NO"); return 0; } while (dis[T] != L) { long long del = L - dis[T] + 1; for (int i = 1; i <= m; ++i) { if (can[i]) { if (vis[i] && flag) d[i] = del, flag = 0; if (!vis[i]) d[i] = L + 1, can[i] = 0; } } retry(); } puts("YES"); for (int i = 1; i <= m; ++i) printf("%d %d %d\n", x[i], y[i], d[i]); return 0; }
#include <bits/stdc++.h> using namespace std; void read_file(bool outToFile = true) {} const int nMax = 1000 + 9; const int mMax = 10000 + 9; const long long OO = 1LL * 1000000000 * 1000000000 + 1; const long long wMax = 1LL * 1000000000 * 1000000000; int n, m, L, src, dst; pair<pair<int, int>, long long> E[mMax]; bool is[mMax]; vector<vector<int> > G; long long SP[nMax]; void print(bool what) { if (what == 0) { printf("NO\n"); return; } printf("YES\n"); for (int i = 0; i < m; i++) { int u, v; long long w; u = E[i].first.first, v = E[i].first.second; w = E[i].second; assert(1 <= w && w <= wMax); printf("%d %d %lld\n", u, v, w); } } void run_dijkstra(int u) { priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > PQ; PQ.push(make_pair(SP[u], u)); while (!PQ.empty()) { pair<long long, int> top = PQ.top(); PQ.pop(); int u = top.second; long long d = top.first; if (d > SP[u]) continue; for (int i = 0, sz = G[u].size(); i < sz; i++) { pair<pair<int, int>, long long> e = E[G[u][i]]; int v = e.first.first == u ? e.first.second : e.first.first; long long w = e.second; if (SP[v] <= SP[u] + w) continue; SP[v] = SP[u] + w; PQ.push(make_pair(SP[v], v)); } } } int main() { read_file(); while (scanf("%d%d", &n, &m) != EOF) { scanf("%d%d%d", &L, &src, &dst); memset(is, 0, sizeof is); G.assign(n, vector<int>()); for (int i = 0; i < m; i++) { int u, v, w; scanf("%d%d%d", &u, &v, &w); E[i] = pair<pair<int, int>, long long>(make_pair(u, v), w); is[i] = w == 0 ? 1 : 0; if (!is[i]) { G[u].push_back(i); G[v].push_back(i); } } for (int i = 0; i < n; i++) SP[i] = OO; SP[src] = 0; run_dijkstra(src); long long sp = SP[dst]; if (sp < L) { print(0); continue; } else if (sp == L) { for (int i = 0; i < m; i++) if (is[i]) E[i].second = wMax; print(1); continue; } bool done = false; for (int i = 0; i < m; i++) { if (!is[i]) continue; int u = E[i].first.first, v = E[i].first.second; long long &w = E[i].second; if (done) { w = wMax; continue; } w = 1; G[u].push_back(i); G[v].push_back(i); if (llabs(SP[u] - SP[v]) <= 1) { continue; } if (SP[u] > SP[v]) swap(u, v); run_dijkstra(u); if (SP[dst] > L) continue; w += L - SP[dst]; done = true; } print(done); } }
#include <bits/stdc++.h> using namespace std; vector<int> g[2000]; long long cost[2000][2000]; bool is_special[2000][2000]; int main(void) { int n, m, L, s, t; scanf("%i %i %i %i %i", &n, &m, &L, &s, &t); vector<int> from(m), to(m); for (int i = 0; i < m; i++) { int u, v, w; scanf("%i %i %i", &u, &v, &w); from[i] = u; to[i] = v; is_special[u][v] = is_special[v][u] = (w == 0) ? true : false; if (w == 0) w++; g[u].push_back(v); g[v].push_back(u); cost[u][v] = cost[v][u] = w; } long long shortest_path = 1LL << 60; bool rep = true; while (rep) { vector<long long> dist(n); vector<bool> seen(n); vector<int> parent(n); for (int i = 0; i < n; i++) { dist[i] = 1LL << 60; seen[i] = false; parent[i] = -1; } priority_queue<pair<long long, int>, vector<pair<long long, int> >, greater<pair<long long, int> > > Q; dist[s] = 0; Q.push(pair<long long, int>(0, s)); while (!Q.empty()) { pair<long long, int> top = Q.top(); Q.pop(); int u = top.second; if (seen[u]) continue; seen[u] = true; for (int v : g[u]) { long long w = cost[u][v]; if (dist[v] > dist[u] + w) { dist[v] = dist[u] + w; parent[v] = u; Q.push(pair<long long, int>(dist[v], v)); } } } shortest_path = dist[t]; if (dist[t] > L) { puts("NO"); return 0; } else if (dist[t] == L) { break; } rep = false; int cur = t; while (cur != s) { int p = parent[cur]; if (is_special[cur][p]) { cost[p][cur] = cost[cur][p] += L - dist[t]; rep = true; break; } cur = parent[cur]; } } if (shortest_path == L) { puts("YES"); for (int i = 0; i < m; i++) { printf("%i %i %lld\n", from[i], to[i], cost[from[i]][to[i]]); } } else { puts("NO"); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1e3 + 3; vector<int> G[MAXN]; int n, m, l; long long d[MAXN]; int father[MAXN]; int vis[MAXN][MAXN], cost[MAXN][MAXN], valid[MAXN][MAXN], cam[MAXN][MAXN]; int s, t; long long dijk() { priority_queue<pair<int, int> > pq; pq.push({0, s}); d[s] = 0; father[s] = -1; while (!pq.empty()) { int u = pq.top().second; pq.pop(); if (u == t) return d[u]; for (auto v : G[u]) { int c = cost[u][v]; if (!c) continue; if (d[v] == -1 || d[v] > d[u] + c) { d[v] = d[u] + c; father[v] = u; pq.push({-d[v], v}); } } } return l + 1; } int main() { scanf("%d %d", &n, &m); scanf("%d %d %d", &l, &s, &t); for (int i = (int)0; i < (int)m; i++) { int u, v, w; scanf("%d %d", &u, &v); scanf("%d", &w); G[u].push_back(v); G[v].push_back(u); cost[u][v] = w; cost[v][u] = w; } memset(d, -1, sizeof(d)); long long ans = dijk(); if (ans < l) { printf("NO\n"); return 0; } for (int u = (int)0; u < (int)n; u++) { for (int j = (int)0; j < (int)G[u].size(); j++) { int v = G[u][j]; if (cost[u][v] == 0) cost[u][v] = 1, valid[u][v] = 1; } } memset(d, -1, sizeof(d)); long long ans1 = dijk(); if (ans1 > l) { printf("NO\n"); return 0; } vector<pair<int, int> > vec; int curr = t; while (curr != -1) { int v = father[curr]; if (valid[curr][v]) cam[curr][v] = 1, cam[v][curr] = 1, vec.push_back({curr, v}); curr = v; } for (int u = (int)0; u < (int)n; u++) for (int v = (int)0; v < (int)n; v++) if (valid[u][v] && !cam[u][v]) cost[u][v] = l + 1; int p = 0; ans = ans1; while (p < vec.size()) { int u = vec[p].first, v = vec[p].second; int lo = 0, hi = l; while (lo < hi) { int mid = (lo + hi + 1) / 2; memset(d, -1, sizeof(d)); cost[u][v] += mid; cost[v][u] += mid; long long curr = dijk(); if (curr == l) { cost[u][v] -= mid; cost[v][u] -= mid; lo = mid; break; } else if (curr != ans + mid || curr > l) hi = mid - 1; else lo = mid; cost[u][v] -= mid; cost[v][u] -= mid; } cost[u][v] += lo; cost[v][u] += lo; p++; memset(d, -1, sizeof(d)); ans = dijk(); if (ans == l) break; } printf("YES\n"); for (int u = (int)0; u < (int)n; u++) { for (auto v : G[u]) { if (vis[u][v]) continue; vis[u][v] = 1; vis[v][u] = 1; int w = cost[u][v]; printf("%d %d %d\n", u, v, w); } } }
#include <bits/stdc++.h> using namespace std; long long n, m, l, s, t, u, v, w; long long ste[1010]; long long sts[1010]; vector<pair<long long, long long> > pa[1010]; void opa() { for (int i = 0; i < n; i++) { for (int j = 0; j < pa[i].size(); j++) { if (i < pa[i][j].second) { cout << i << ' ' << pa[i][j].second << ' '; cout << (pa[i][j].first > 0 ? pa[i][j].first : 10000000000000000) << '\n'; } } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m >> l >> s >> t; for (int i = 0; i < m; i++) { cin >> u >> v >> w; pa[u].push_back({w, v}); pa[v].push_back({w, u}); } memset(ste, -1, sizeof ste); memset(sts, -1, sizeof sts); priority_queue<pair<long long, long long>, vector<pair<long long, long long> >, greater<pair<long long, long long> > > pq; while (!pq.empty()) pq.pop(); pq.push({0, t}); while (!pq.empty()) { long long now = pq.top().second; long long np = pq.top().first; pq.pop(); if (ste[now] != -1) continue; ste[now] = np; for (int i = 0; i < pa[now].size(); i++) { int nex = pa[now][i].second; long long len = pa[now][i].first; if (ste[nex] == -1 && len != 0) { pq.push({np + len, nex}); } } } if (ste[s] != -1) { if (ste[s] < l) { cout << "NO\n"; return 0; } if (ste[s] == l) { cout << "YES\n"; opa(); return 0; } } while (!pq.empty()) pq.pop(); pq.push({0, s}); bool done = 0; while (!pq.empty()) { long long now = pq.top().second; long long np = pq.top().first; pq.pop(); if (sts[now] != -1) continue; sts[now] = np; for (int i = 0; i < pa[now].size(); i++) { int nex = pa[now][i].second; long long len = pa[now][i].first; if (sts[nex] == -1) { if (len != 0) { pq.push({np + len, nex}); } else { if (ste[nex] != -1 && sts[now] + ste[nex] < l) { pa[now][i].first = l - sts[now] - ste[nex]; for (int j = 0; j < pa[nex].size(); j++) { if (pa[nex][j].second == now) { pa[nex][j].first = pa[now][i].first; break; } } done = 1; break; } else { pa[now][i].first = 1; for (int j = 0; j < pa[nex].size(); j++) { if (pa[nex][j].second == now) { pa[nex][j].first = pa[now][i].first; break; } } pq.push({np + pa[now][i].first, nex}); } } } } if (done) break; } if (done) { cout << "YES\n"; opa(); } else cout << "NO\n"; }
#include <bits/stdc++.h> using namespace std; long long n, m, L, s, t; vector<pair<long long, long long> > adj[1111]; vector<long long> todo; long long w[11111], u[11111], v[11111], d[1111]; void dijkstra() { for (long long i = 0; i <= n; i++) d[i] = (1LL << 60); d[s] = 0LL; priority_queue<pair<long long, long long> > pq; pq.push({0, s}); while (!pq.empty()) { long long x = pq.top().second; long long t = -pq.top().first; pq.pop(); if (d[x] < t) continue; for (auto i : adj[x]) { if (d[i.first] > d[x] + i.second) { d[i.first] = d[x] + i.second; pq.push({-d[i.first], i.first}); } } } } long long check(long long x) { for (auto i : todo) { w[i] = 1 + min(x, 1000000000LL); x -= w[i] - 1; } for (long long i = 0; i <= n; i++) adj[i].clear(); for (long long i = 0; i < m; i++) { adj[v[i]].push_back({u[i], w[i]}); adj[u[i]].push_back({v[i], w[i]}); } dijkstra(); return d[t]; } int main() { scanf("%lld%lld%lld%lld%lld", &n, &m, &L, &s, &t); for (long long i = 0; i < m; i++) { long long a, b, c; scanf("%lld%lld%lld", u + i, v + i, w + i); if (w[i] == 0) todo.push_back(i); } long long l = 0, d = 1000000000LL * todo.size(), mid, ans = -1; if (check(0) > L || check(d) < L) { printf("NO\n"); return 0; } while (l <= d) { mid = (l + d) / 2; if (check(mid) <= L) { ans = mid; l = mid + 1; } else d = mid - 1; } check(ans); printf("YES\n"); for (long long i = 0; i < m; i++) { printf("%lld %lld %lld\n", u[i], v[i], w[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; struct E { int v, id; long long c; }; vector<E> G[1000]; long long d2s[1000], d2t[1000]; bool mark[1000]; const long long INF = (long long)1e15; int u[10000], v[10000]; long long c[10000]; int main() { int n, m, l, s, t; scanf("%d%d%d%d%d", &n, &m, &l, &s, &t); for (int i = 0; i < m; i++) { scanf("%d%d%lld", u + i, v + i, c + i); G[u[i]].push_back(E{v[i], i, c[i]}); G[v[i]].push_back(E{u[i], i, c[i]}); } fill(d2t, d2t + n, INF); memset(mark, 0, sizeof(mark)); d2t[t] = 0; for (int i = 0; i < n; i++) { int Minj = -1; long long Min = INF; for (int j = 0; j < n; j++) { if (!mark[j] && d2t[j] < Min) { Minj = j; Min = d2t[j]; } } if (Minj < 0) break; mark[Minj] = 1; for (E &e : G[Minj]) { if (e.c == 0) continue; if (d2t[e.v] > Min + e.c) d2t[e.v] = Min + e.c; } } fill(d2s, d2s + n, INF); memset(mark, 0, sizeof(mark)); d2s[s] = 0; for (int i = 0; i < n; i++) { int Minj = -1; long long Min = INF; for (int j = 0; j < n; j++) { if (!mark[j] && d2s[j] < Min) { Minj = j; Min = d2s[j]; } } if (Minj < 0) break; mark[Minj] = 1; for (E &e : G[Minj]) { if (e.c == 0) { if (c[e.id] != 0) e.c = c[e.id]; else if (d2t[e.v] == INF) { e.c = 1; c[e.id] = e.c; } else { e.c = l - d2t[e.v] - Min; if (e.c <= 0) { e.c = 1; } c[e.id] = e.c; } } if (d2s[e.v] > Min + e.c) d2s[e.v] = Min + e.c; } } if (d2s[t] != l) { puts("NO"); return 0; } puts("YES"); for (int i = 0; i < m; i++) { if (c[i] == 0) c[i] = 1; printf("%d %d %lld\n", u[i], v[i], c[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline T abs(T t) { return t < 0 ? -t : t; } const long long modn = 1000000007; inline long long mod(long long x) { return x % modn; } const int MAXN = 212345; int n, m; long long k; pair<long long, long long> s[MAXN]; long long p[MAXN], t; long long test(long long c) { long long ans = 0; for (int a = 1; a <= m; a++) { if (c < (p[a] - p[a - 1])) return LLONG_MAX; if (c > 2 * (p[a] - p[a - 1])) { ans += p[a] - p[a - 1]; } else { ans += 2 * (p[a] - p[a - 1]) - min(p[a] - p[a - 1], (c - (p[a] - p[a - 1]))); } }; return ans; } int main() { scanf("%d%d%lld%lld", &n, &m, &k, &t); for (int a = 0; a < n; a++) { scanf("%lld%lld", &s[a].first, &s[a].second); } p[0] = 0; for (int a = 1; a <= m; a++) { scanf("%lld", &p[a]); } p[m + 1] = k; m++; sort(p, p + m + 1); long long i = 1, j = 5e9; while (i < j) { long long m = (i + j) / 2ll; if (test(m) <= t) j = m; else i = m + 1; }; long long res = LLONG_MAX; for (int a = 0; a < n; a++) { if (s[a].second >= i && s[a].first < res) { res = s[a].first; } } if (res != LLONG_MAX) printf("%lld\n", res); else puts("-1"); }
#include <bits/stdc++.h> using namespace std; const long long N = 1000005; long long s, t, n, c[N], v[N], k, g[N]; signed main() { ios::sync_with_stdio(false); cin >> n >> k >> s >> t; for (long long i = 1; i <= n; i++) cin >> c[i] >> v[i]; for (long long i = 1; i <= k; i++) cin >> g[i]; sort(g + 1, g + k + 1); g[k + 1] = s; long long l = 1, r = 2e9; while (l < r) { long long mid = (l + r) / 2; long long sum = 0; long long flag = 1; for (long long i = 1; i <= k + 1; i++) { long long len = g[i] - g[i - 1]; long long x = 2 * len - mid; if (x > len) { flag = 0; break; } x = max(x, 0ll); sum += x + len; } if (sum > t) flag = 0; if (flag) r = mid; else l = mid + 1; } long long ans = 1e18; for (long long i = 1; i <= n; i++) if (v[i] >= r) ans = min(ans, c[i]); if (ans == 1e18) cout << -1; else cout << ans; }
#include <bits/stdc++.h> using namespace std; const int N = 228228, INF = 1e9 + 228 + 666 + 1337; int n, k, s, t; int c[N], v[N], a[N]; bool can(int m) { int x = s; int i = k; int tim = 0; while (i >= 0 && x > 0) { int dist = x - a[i]; if (m < dist) { return false; } int f = min(dist, m - dist); tim += (f + (dist - f) * 2); x = a[i]; --i; } return tim <= t; } int main() { scanf("%d %d %d %d", &n, &k, &s, &t); for (int i = 0; i < n; ++i) { scanf("%d %d", &c[i], &v[i]); } vector<int> g(k); for (int i = 0; i < k; ++i) { scanf("%d", &g[i]); } sort(g.begin(), g.end()); for (int i = 0; i < k; ++i) { a[i + 1] = g[i]; } int l = 0, r = INF; while (r - l > 1) { int m = (l + r) / 2; if (can(m)) { r = m; } else { l = m; } } int vmin = r; int min_cost = INF; for (int i = 0; i < n; ++i) { if (v[i] >= vmin) { min_cost = min(min_cost, c[i]); } } if (min_cost == INF) { printf("-1\n"); return 0; } printf("%d\n", min_cost); return 0; }
#include <bits/stdc++.h> using namespace std; long long n, k; long long s, t; long long c[1000000]; long long v[1000000]; long long pos[1000000]; long long len[1000000]; int can(long long v) { long long tm = 0; for (int i = 0; i <= k; i++) { if (v < len[i]) return 0; tm += 2 * len[i] - min(len[i], v - len[i]); } return tm <= t; } int main() { ios_base::sync_with_stdio(0); cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) cin >> c[i] >> v[i]; for (int i = 1; i <= k; i++) cin >> pos[i]; sort(pos + 1, pos + 1 + k); for (int i = 1; i <= k; i++) len[i] = pos[i] - pos[i - 1]; len[k + 1] = s - pos[k]; k++; long long l = 0; long long r = 100000000000; long long m; if (!can(r)) { cout << -1 << endl; return 0; } while (r - l > 1) { m = (l + r) / 2; if (can(m)) r = m; else l = m; } if (can(l)) m = l; else m = r; long long ans = 1000000000000000000; for (int i = 0; i < n; i++) { if (v[i] >= m) ans = min(ans, c[i]); } if (ans < 1000000000000000000) cout << ans << endl; else cout << -1 << endl; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline T SQR(T x) { return x * x; } template <typename T> inline void UPDATE_MIN(T &x, T y) { if (y < x) { x = y; } } template <typename T> inline void UPDATE_MAX(T &x, T y) { if (x < y) { x = y; } } template <typename T> inline int ARGMAX(T cont) { return max_element(cont.begin(), cont.end()) - cont.begin(); } template <typename T> inline int ARGMIN(T cont) { return min_element(cont.begin(), cont.end()) - cont.begin(); } template <typename T> inline int hamming(T x) { return __builtin_popcountll((long long)x); } int hamming(int x) { return __builtin_popcount(x); } int hamming(long x) { return __builtin_popcountl(x); } int hamming(long long x) { return __builtin_popcountll(x); } vector<string> split(const string &s, char c) { vector<string> v; stringstream ss(s); string x; while (getline(ss, x, c)) v.emplace_back(x); return move(v); } template <typename T, typename... Args> inline string arrStr(T arr, int n) { stringstream s; s << "["; for (__typeof(n - 1) i = (0), __tmpvar__end89 = (n - 1); i < __tmpvar__end89; i++) s << arr[i] << ","; s << arr[n - 1] << "]"; return s.str(); } template <class T> inline string TOSTR(const T &x) { stringstream ss; ss << x; return ss.str(); } inline void DIER(char *res, char *dbg = NULL) { fprintf(stderr, "[!] die reason %s\n", dbg); puts(res); exit(0); } inline void PR(void) {} inline void PR(int x) { printf("%d", x); } inline void PR(long long x) { printf("%lld", x); } inline void PR(size_t x) { printf("%llu", (unsigned long long)x); } inline void PR(const char *s) { printf("%s", s); } inline void PR(double f) { printf("%.10f", f); } inline void PR(long double f) { printf("%.10f", (double)f); } template <typename T> inline void PR(vector<T> &vec) { auto sz = vec.size(); for (auto x : vec) { PR(x); (--sz) ? putc(0x20, stdout) : 0; } } template <typename T> inline void PRS(T x) { PR(x); putc(0x20, stdout); } template <typename T> inline void PRN(T x) { PR(x); putc(0x0a, stdout); } void PRN(void) { putc(0x0a, stdout); } struct pairhash { template <typename T, typename U> std::size_t operator()(const std::pair<T, U> &x) const { return std::hash<T>()(x.first) ^ std::hash<U>()(x.second); } }; const int MOD = 1000 * 1000 * 1000 + 7; const double PI = 3.1415926535897932384626433832795l; template <typename T> inline T gcd(T a, T b) { return a ? gcd(b % a, a) : b; } inline void addto(int &a, int b) { a += b; if (a >= MOD) a -= MOD; } inline int add(int a, int b) { a += b; if (a >= MOD) a -= MOD; return a; } inline void subto(int &a, int b) { a -= b; if (a < 0) a += MOD; if (a >= MOD) a -= MOD; } inline int sub(int a, int b) { a -= b; if (a < 0) a += MOD; if (a >= MOD) a -= MOD; return a; } inline void multo(int &a, int b) { a = (long long)a * b % MOD; } inline int mul(int a, int b) { return (long long)a * b % MOD; } inline int mulmod(int a, int b, int mod) { return (long long)a * b % mod; } inline int powmod(int a, int e, int mod) { int x; for (x = 1; e > 0; e >>= 1) { if (e & 1) x = mulmod(x, a, mod); a = mulmod(a, a, mod); } return x; } inline int invmod_prime(int a, int mod) { return powmod(a, mod - 2, mod); } inline long long invmod_LL(long long p) { long long q = p; for (long long a = p * p; a != 1; a *= a) q *= a; return q; } template <typename F, typename T> T binary_search_first_good(T l, T r, F good) { T res = -1; while (r >= l) { T mid = (l + r) >> 1; if (good(mid)) { res = mid; r = mid - 1; } else { l = mid + 1; } } return res; } int N, M, K, L, E, Q, S, T; pair<int, int> cars[200123]; vector<int> dists; bool isgood(long long vol) { long long tot = 0; for (auto &d : dists) { if (d > vol) return false; long long num1 = max(0ll, 2 * d - vol); num1 = min(num1, (long long)d); long long num2 = d - num1; tot += 2 * num1 + num2; } 1; return (tot <= T); } int main() { ios_base::sync_with_stdio(0); scanf("%d%d", &N, &K); scanf("%d%d", &S, &T); for (__typeof(N) i = (0), __tmpvar__end252 = (N); i < __tmpvar__end252; i++) { scanf("%d%d", &cars[i].first, &cars[i].second); } vector<int> stops; for (__typeof(K) i = (0), __tmpvar__end254 = (K); i < __tmpvar__end254; i++) { int x; scanf("%d", &x); stops.push_back(x); } sort((stops).begin(), (stops).end()); int cur = 0; for (auto &x : stops) { dists.push_back(x - cur); cur = x; } dists.push_back(S - stops.back()); long long minv = binary_search_first_good((long long)1, (long long)2e9, isgood); 1; if (minv == -1) { printf("-1"); exit(0); }; int ans = -1; for (__typeof(N) i = (0), __tmpvar__end271 = (N); i < __tmpvar__end271; i++) { if (cars[i].second >= minv) { if (ans == -1) ans = cars[i].first; else ans = min(ans, cars[i].first); } } PRN(ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long int inf = 1e15; const long long int mod = 1000000007; const int infInt = 1e9; const double PI = acos(-1.00); const double eps = 1e-6; long long int nCars, nGas, len, Time; pair<long long int, long long int> cars[200010]; long long int stations[200010]; long long int bb(long long int ini, long long int fin, long long int fuel) { long long int ans = -1; long long int dist = fin; while (ini <= fin) { long long int mid = (ini + fin) / 2; if (2LL * mid + (dist - mid) <= fuel) { ans = mid; ini = mid + 1; } else { fin = mid - 1; } } return ans; } bool can(long long int fuel) { long long int timeSpend = 0; long long int ant = 0; for (int i = 0; i < nGas; i++) { long long int dist = stations[i] - ant; ant = stations[i]; if (2LL * dist <= fuel) { timeSpend += dist; continue; } if (dist > fuel) return false; long long int bestAcc = bb(0, dist, fuel); timeSpend += bestAcc + 2 * (dist - bestAcc); } return (timeSpend <= Time); } int main() { cin.sync_with_stdio(false); cin.tie(NULL); long long int maxi = -inf; cin >> nCars >> nGas >> len >> Time; for (int i = 0; i < nCars; i++) { cin >> cars[i].first >> cars[i].second; maxi = max(maxi, cars[i].second); } for (int i = 0; i < nGas; i++) { cin >> stations[i]; } sort(stations, stations + nGas); stations[nGas++] = len; long long int ini = 0, fin = maxi; long long int bestFuel = -1; while (ini <= fin) { long long int mid = (ini + fin) / 2; if (can(mid)) { bestFuel = mid; fin = mid - 1; } else { ini = mid + 1; } } if (bestFuel == -1) cout << -1 << "\n"; else { long long int best = inf; for (int i = 0; i < nCars; i++) { if (cars[i].second >= bestFuel) { best = min(best, cars[i].first); } } cout << best << "\n"; } }
#include <bits/stdc++.h> using namespace std; long long n, k, s, T; vector<pair<long long, long long>> cars; vector<long long> v1; bool check2(long long x, long long fuelcapacity, long long dist) { return x + ((dist - x) * 2) <= fuelcapacity; } bool check3(long long mid, long long i, long long x) { return (2 * (v1[mid] - v1[i])) <= x; } bool check(long long x) { long long t = 0; for (long long i = 1; i <= k + 1; i++) { long long dist = v1[i] - v1[i - 1]; if (2 * dist <= x) { long long l = i; long long r = k + 1; long long ans = i; while (l <= r) { long long mid = (l + r) / 2; if (check3(mid, i - 1, x)) { ans = mid; l = mid + 1; } else { r = mid - 1; } } long long newdist = v1[ans] - v1[i - 1]; t += newdist; i = ans; continue; } long long l = 0; long long r = dist; long long ans = -1; while (l <= r) { long long mid = (l + r) / 2; if (check2(mid, x, dist)) { ans = mid; r = mid - 1; } else { l = mid + 1; } } if (ans == -1) { return false; } t += (2 * ans) + (dist - ans); } return t <= T; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n >> k >> s >> T; v1.push_back(0); for (long long i = 1; i <= n; i++) { long long x, y; cin >> x >> y; cars.push_back(make_pair(x, y)); } for (long long i = 1; i <= k; i++) { long long x; cin >> x; v1.push_back(x); } v1.push_back(s); sort(v1.begin(), v1.end()); long long l = 0; long long r = 2e9; long long ans = 3e9; while (l <= r) { long long mid = (l + r) / 2; if (check(mid)) { ans = mid; r = mid - 1; } else { l = mid + 1; } } sort(cars.begin(), cars.end()); for (auto x : cars) { if (x.second >= ans) { cout << x.first; return 0; } } cout << -1; }
#include <bits/stdc++.h> using namespace std; pair<int, int> ar[200010]; long long br[200010]; long long n, k; bool chk(long long cap, long long x) { long long tmp; for (int i = k; i >= 0; i--) { if (br[i] > cap) return false; tmp = 2 * br[i] - cap; if (tmp > 0) { x -= tmp; if (x < 0) { return false; } } else break; } return true; } int bin(int l, int r, long long x) { if (l == r) return l; int mid = (l + r) / 2; if (chk(ar[mid].first, x)) return bin(l, mid, x); else return bin(mid + 1, r, x); } void solve() { long long s, t; cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) { scanf("%d", &ar[i].second); ; scanf("%d", &ar[i].first); ; } sort(ar, ar + n); for (int i = n - 2; i >= 0; i--) { ar[i].second = min(ar[i].second, ar[i + 1].second); } for (int i = 0; i < k; i++) { scanf("%d", &br[i]); ; } sort(br, br + k); br[k] = s - br[k - 1]; for (int i = k - 1; i > 0; i--) { br[i] -= br[i - 1]; } sort(br, br + k + 1); long long x = t - s; if (x < 0) { printf("-1\n"); return; } if (!chk(ar[n - 1].first, x)) { printf("-1\n"); return; } long long ans = bin(0, n - 1, x); printf("%d\n", ar[ans].second); } int main() { int t = 1; for (int i = 1; i <= t; i++) { solve(); } }
#include <bits/stdc++.h> using namespace std; int INF = 2e9 + 1, t, k; int b[200020]; int cal(int dis, int cap) { if (dis > cap) return INF; if (dis == cap) return 2 * cap; if (dis * 2 <= cap) return dis; return dis * 2 - (cap - dis); } bool ch(int x) { long long int ans = 0; for (int i = 1; i < k; i++) { ans += cal(b[i + 1] - b[i], x); } if (ans <= t) return true; return false; } pair<int, int> a[200010]; int main() { int n, s, imin = INF; scanf("%d %d %d %d", &n, &k, &s, &t); for (int i = 1; i <= n; i++) { scanf("%d %d", &a[i].second, &a[i].first); } for (int i = 1; i <= k; i++) { scanf("%d", &b[i]); } k += 2; b[k - 1] = 0; b[k] = s; sort(b + 1, b + 1 + k); int l = 1, r = 1e9 + 20; while (l < r) { int mid = (l + r) / 2; if (ch(mid)) r = mid; else l = mid + 1; } for (int i = 1; i <= n; i++) { if (l <= a[i].first) imin = min(imin, a[i].second); } cout << (imin == INF ? -1 : imin); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200010; int n, k, s, t; int gas[MAXN]; struct Node { int c, v; friend bool operator<(const Node &p, const Node &q) { return p.c < q.c; } } P[MAXN]; int pre[MAXN]; int check(int o) { int tt = 0; for (int i = 1; i <= k; i++) { int x = gas[i] - gas[i - 1]; if (o < x) return 2147483647; tt += max(x, 2 * x - (o - x)); } return tt; } int main() { scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 1; i <= n; i++) scanf("%d%d", &P[i].c, &P[i].v); for (int i = 1; i <= k; i++) scanf("%d", &gas[i]); sort(gas + 1, gas + k + 1); gas[++k] = s; int l = 1, r = n; sort(P + 1, P + n + 1); for (int i = 1; i <= n; i++) pre[i] = max(pre[i - 1], P[i].v); while (l < r) { int mid = (l + r) >> 1; int o = pre[mid]; int tt = check(o); if (tt <= t) r = mid; else l = mid + 1; } if (check(pre[l]) > t) puts("-1"); else printf("%d\n", P[l].c); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXNK = 2e5 + 10; const long long INF = 1e18; struct dian { int c, v; }; dian node[MAXNK]; int g[MAXNK]; int n, k, s; long long T; long long fi = INF; bool cmp1(dian a, dian b) { return a.v < b.v; } bool judge(int sum) { long long t = 0; for (int i = 2; i <= k; i++) { int dis = g[i] - g[i - 1]; if (dis * 2 <= sum) t += g[i] - g[i - 1]; else { if (sum >= dis) { t += 3 * dis - sum; } else { return false; } } if (t > T) return false; } return true; } int main() { cin >> n >> k >> s >> T; for (int i = 1; i <= n; i++) { scanf("%d%d", &node[i].c, &node[i].v); } for (int i = 1; i <= k; i++) { scanf("%d", &g[i]); } g[++k] = 0; g[++k] = s; sort(g + 1, g + 1 + k); sort(node + 1, node + 1 + n, cmp1); int l = 1, r = n, ans = -1; while (l <= r) { int m = (l + r) >> 1; if (judge(node[m].v)) { ans = m; r = m - 1; } else l = m + 1; } if (ans == -1) { puts("-1"); return 0; } for (int i = 1; i <= n; i++) { if (node[i].v >= node[ans].v && node[i].c < fi) fi = node[i].c; } cout << fi << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; long long powmod(long long a, long long b) { long long res = 1; if (a >= mod) a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a; if (res >= mod) res %= mod; a = a * a; if (a >= mod) a %= mod; } return res; } long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } static struct IO { char tmp[1 << 10]; char cur; inline char nextChar() { return cur = getc(stdin); } inline char peekChar() { return cur; } inline operator bool() { return peekChar(); } inline static bool isBlank(char c) { return (c < '-' && c); } inline bool skipBlanks() { while (isBlank(nextChar())) ; return peekChar() != 0; } inline IO& operator>>(char& c) { c = nextChar(); return *this; } inline IO& operator>>(char* buf) { if (skipBlanks()) { if (peekChar()) { *(buf++) = peekChar(); while (!isBlank(nextChar())) *(buf++) = peekChar(); } *(buf++) = 0; } return *this; } inline IO& operator>>(string& s) { if (skipBlanks()) { s.clear(); s += peekChar(); while (!isBlank(nextChar())) s += peekChar(); } return *this; } inline IO& operator>>(double& d) { if ((*this) >> tmp) sscanf(tmp, "%lf", &d); return *this; } inline IO& operator>>(int& n) { if (skipBlanks()) { int sign = +1; if (peekChar() == '-') { sign = -1; n = nextChar() - '0'; } else n = peekChar() - '0'; while (!isBlank(nextChar())) { n += n + (n << 3) + peekChar() - 48; } n *= sign; } return *this; } inline IO& operator>>(unsigned int& n) { if (skipBlanks()) { int sign = +1; if (peekChar() == '-') { sign = -1; n = nextChar() - '0'; } else n = peekChar() - '0'; while (!isBlank(nextChar())) { n += n + (n << 3) + peekChar() - 48; } n *= sign; } return *this; } inline IO& operator>>(long long& n) { if (skipBlanks()) { int sign = +1; if (peekChar() == '-') { sign = -1; n = nextChar() - '0'; } else n = peekChar() - '0'; while (!isBlank(nextChar())) { n += n + (n << 3) + peekChar() - 48; } n *= sign; } return *this; } inline void putChar(char c) { putc(c, stdout); } inline IO& operator<<(char c) { putChar(c); return *this; } inline IO& operator<<(const char* s) { while (*s) putChar(*s++); return *this; } inline IO& operator<<(const string& s) { for (int i = 0; i < (int)s.size(); ++i) putChar(s[i]); return *this; } char* toString(double d) { sprintf(tmp, "%lf%c", d, '\0'); return tmp; } inline IO& operator<<(double d) { return (*this) << toString(d); } inline char* toString(int n) { char* p = (tmp + 30); if (n) { bool isNeg = 0; if (n < 0) isNeg = 1, n = -n; while (n) *--p = (n % 10) + '0', n /= 10; if (isNeg) *--p = '-'; } else *--p = '0'; return p; } inline IO& operator<<(int n) { return (*this) << toString(n); } inline char* toString(long long n) { char* p = (tmp + 30); if (n) { bool isNeg = 0; if (n < 0) isNeg = 1, n = -n; while (n) *--p = (n % 10) + '0', n /= 10; if (isNeg) *--p = '-'; } else *--p = '0'; return p; } inline IO& operator<<(long long n) { return (*this) << toString(n); } } __io__; const int N = 200000 + 5; long long n, k, s, t, len[N], c[N], v[N], g[N], sum[N]; int ans = mod; long long maxlen; bool ok(long long cap) { long long tim = 0; int idx = upper_bound(len, len + k, cap / 2) - len; if (idx) tim += sum[idx - 1]; if (idx != k) { tim -= cap * 1LL * (k - idx); tim += 3 * sum[k - 1]; if (idx) tim -= 3 * sum[idx - 1]; } return tim <= t; } int main() { int i, j; __io__ >> n >> k >> s >> t; for (i = 0; i < n; i++) { __io__ >> c[i] >> v[i]; } for (i = 0; i < k; i++) { __io__ >> g[i]; } sort(g, g + k); g[k] = s; int last = 0; for (i = 0; i <= k; i++) { len[i] = g[i] - last; last = g[i]; maxlen = max(maxlen, len[i]); } k++; sort(len, len + k); sum[0] = len[0]; for (i = 1; i < k; i++) sum[i] = len[i] + sum[i - 1]; for (i = 0; i < n; i++) { if (v[i] >= maxlen && ans > c[i] && ok(v[i])) ans = c[i]; } if (ans == mod) ans = -1; __io__ << ans << ('\n'); return 0; }
#include <bits/stdc++.h> using namespace std; const int P = 1e9 + 7, INF = 0x3f3f3f3f; long long gcd(long long a, long long b) { return b ? gcd(b, a % b) : a; } long long qpow(long long a, long long n) { long long r = 1 % P; for (a %= P; n; a = a * a % P, n >>= 1) if (n & 1) r = r * a % P; return r; } long long inv(long long first) { return first <= 1 ? 1 : inv(P % first) * (P - P / first) % P; } const int N = 1e6 + 10; int n, k, s, t; int c[N], v[N], a[N], g[N]; int chk(int first) { if (g[k] > first) return 0; long long sum = 0; for (int i = 1; i <= k; ++i) { int p = min(g[i], first - g[i]); sum += (long long)2 * g[i] - p; } return sum <= t; } int main() { scanf("%d%d%d%d", &n, &k, &s, &t); if (s > t) return puts("-1"), 0; for (int i = 1; i <= n; ++i) scanf("%d%d", c + i, v + i); for (int i = 1; i <= k; ++i) scanf("%d", a + i); a[++k] = 0, a[++k] = s; sort(a + 1, a + 1 + k); for (int i = 2; i <= k; ++i) g[i - 1] = a[i] - a[i - 1]; --k; sort(g + 1, g + 1 + k); int l = 1, r = 1e9, ans = INF; while (l <= r) { if (chk(((l + r) >> 1))) ans = ((l + r) >> 1), r = ((l + r) >> 1) - 1; else l = ((l + r) >> 1) + 1; } int mi = INF; for (int i = 1; i <= n; ++i) if (v[i] >= ans) mi = min(mi, c[i]); printf("%d\n", mi == INF ? -1 : mi); }
#include <bits/stdc++.h> using namespace std; bool less_vectors(const vector<int>& a, const vector<int>& b) { return a.size() > b.size(); } long long gcd(long long a, long long b) { if (a % b == 0) return b; else return gcd(b, a % b); } class compr { public: bool operator()(pair<pair<int, long long>, int> p1, pair<pair<int, long long>, int> p2) { if (p1.first.second != p2.first.second) return p1.first.second > p2.first.second; else if (p1.second != p2.second) return p1.second > p2.second; else return p1.first < p2.first; } }; long long fastexpo(long long a, long long b) { long long res = 1; while (b > 0) { if (b % 2 == 1) res = (((res) % 1000000007) * ((a) % 1000000007)) % 1000000007; a = (((a) % 1000000007) * ((a) % 1000000007)) % 1000000007; b /= 2; } return res; } long long fastexpom(long long a, long long b, long long m) { long long res = 1; while (b > 0) { if (b % 2 == 1) res = (((res) % m) * ((a) % m)) % m; a = (((a) % m) * ((a) % m)) % m; b /= 2; } return res; } long long modinv(long long a, long long m = 1000000007) { return fastexpom(a, m - 2, m); } vector<long long> pos; int k; bool check(long long m, int time) { int t = 0; bool ch = 1; int fuel = m; for (int i = 0; i <= k; i++) { long long t1 = 0; long long d = pos[i + 1] - pos[i]; t1 = 2 * d; m = fuel; m -= d; if (m < 0) { ch = 0; break; } t1 -= min(d, m); t += t1; } if (t <= time) ; else ch = 0; return ch; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); ; long long n, s, t; cin >> n >> k >> s >> t; long long hi = 0; vector<pair<long long, long long> > v(n); pos.resize(k + 2); for (int i = 0; i < n; i++) { cin >> v[i].first >> v[i].second; hi = max(hi, v[i].second); } for (int i = 1; i <= k; i++) cin >> pos[i]; pos[0] = 0; pos[k + 1] = s; ; sort(pos.begin(), pos.end()); hi = hi + 1; long long lo = 0; while (lo < hi) { int mid = (lo + hi) >> 1; if (check(mid, t)) { hi = mid; } else lo = mid + 1; } sort(v.begin(), v.end()); long long ans = INT_MAX; for (int i = 0; i < n; i++) { if (v[i].second >= lo) ans = min(ans, v[i].first); } if (ans != INT_MAX) cout << ans; else cout << -1; return 0; }
#include <bits/stdc++.h> using namespace std; long long n, k, s, t, l, r, md, b; pair<long long, long long> p[200005]; vector<long long> a; bool check(long long fuel) { long long sum = 0, x, dist; for (int i = 1; i < a.size(); i++) { dist = a[i] - a[i - 1]; if (dist > fuel) return 0; x = min(fuel - dist, dist); sum += 2 * dist - x; } if (sum <= t) return 1; return 0; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) cin >> p[i].first >> p[i].second; sort(p, p + n); for (int i = 1; i < n; i++) p[i].second = max(p[i].second, p[i - 1].second); for (int i = 0; i < k; i++) { cin >> b; a.push_back(b); } a.push_back(0); a.push_back(s); sort(a.begin(), a.end()); l = 0, r = n; while (l < r) { md = (l + r) / 2; if (check(p[md].second) == 1) r = md; else l = md + 1; } if (l == n) cout << -1; else cout << p[l].first; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; pair<int, int> car[MAXN]; int g[MAXN], pref[MAXN]; int n, k, s, t; bool check(int v) { int needTime = 0; int dist; for (int i = 1; i <= k + 1; i++) { dist = g[i] - g[i - 1]; if (v >= 2 * dist) { needTime += dist; } else { needTime += (2 * dist - v % dist); } } return (needTime <= t) ? true : false; } int main() { ios_base::sync_with_stdio(false); int ans, mx, lg, rg, mid; bool flag; cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) { cin >> car[i].first >> car[i].second; } sort(car, car + n); memset(pref, 0, sizeof(pref)); pref[0] = car[0].second; for (int i = 1; i < n; i++) { pref[i] = max(pref[i - 1], car[i].second); } g[0] = 0; for (int i = 1; i <= k; i++) cin >> g[i]; g[k + 1] = s; sort(g, g + k + 1); mx = 0; for (int i = 1; i <= k + 1; i++) mx = max(mx, g[i] - g[i - 1]); lg = 0; rg = n; while (rg - lg > 1) { mid = (lg + rg) / 2; if (pref[mid] < mx) { lg = mid; continue; } if (check(pref[mid])) rg = mid; else lg = mid; } if (rg == n) { if ((mx <= pref[lg]) && (check(pref[lg]))) { cout << car[lg].first << endl; } else { cout << -1 << endl; } } else { if ((mx <= pref[lg]) && (check(pref[lg]))) { cout << car[lg].first << endl; } else { cout << car[rg].first << endl; } } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 10; long long n, k, s, t, c[N], v[N], x[N]; bool check(long long V) { int last = 0; long double T = 0; for (int i = 0; i < k; i++) { long double d = x[i] - last; if (V < d) return false; long double big = min(V - d, d); T += big; T += 2 * (d - big); last = x[i]; } if (T <= t) return true; else return false; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) cin >> c[i] >> v[i]; for (int i = 0; i < k; i++) cin >> x[i]; x[k++] = s; sort(x, x + k); int l = 0, r = 1e9 + 10; while (r - l > 1) { int mid = (l + r) / 2; if (check(mid)) r = mid; else l = mid; } long long ans = 1e9 + 10; for (int i = 0; i < n; i++) if (v[i] >= r) ans = min(ans, c[i]); if (ans == 1e9 + 10) cout << "-1\n"; else cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 10; int main() { int n, k, s, t; scanf("%d%d%d%d", &n, &k, &s, &t); vector<pair<int, int> > car(n + 2); car[0] = make_pair(0, 0); car[n + 1] = make_pair(INF, INF); for (int i = 1; i <= n; ++i) { scanf("%d%d", &car[i].second, &car[i].first); } sort(car.begin(), car.end()); vector<int> oil(k + 2); oil[0] = 0; oil[k + 1] = s; for (int i = 1; i <= k; ++i) scanf("%d", &oil[i]); sort(oil.begin(), oil.end()); vector<int> d(k + 1); for (int i = 0; i < k + 1; ++i) d[i] = oil[i + 1] - oil[i]; int l = 0, r = n + 1; while (r - l > 1) { int m = (r + l) / 2; int b = car[m].first; long long cur = 0; bool f = true; for (int i = 0; i < k + 1; ++i) { if (d[i] > b) f = false; else { int d1 = b - d[i]; if (d1 >= d[i]) cur += d[i]; else { int d2 = d[i] - d1; cur += d1 + 2 * d2; } } } if ((cur <= t) && (f)) { r = m; while (car[r - 1].first == car[r].first) r--; } else { l = m; } } int ans = car[r].second; for (int i = r; i <= n; ++i) ans = min(ans, car[i].second); if (ans == INF) cout << -1; else cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int pos[200005]; struct lx { int cost, val; } num[200005]; vector<int> vec; int n, k, s, t, temp[200005], last = 0, maxn = 0, m2 = 0; int Bsearch(int L, int R) { int mid, l = L, r = R, co; while (l < r) { co = 0; mid = (l + r) / 2; for (int i = 0; i < vec.size(); ++i) { co += vec[i] * 2 - min(vec[i], mid - vec[i]); } if (co <= t) { r = mid; } else { l = mid + 1; } } return l; } int main() { scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 0; i < n; ++i) { scanf("%d%d", &num[i].cost, &num[i].val); m2 = max(m2, num[i].val); } for (int i = 0; i < k; ++i) { scanf("%d", &temp[i]); } sort(temp, temp + k); for (int i = 0; i < k; ++i) { vec.push_back(temp[i] - last); maxn = max(maxn, temp[i] - last); last = temp[i]; } vec.push_back(s - last); maxn = max(maxn, s - last); if (s > t) { printf("-1\n"); return 0; } int co = 0; for (int i = 0; i < vec.size(); ++i) { co += vec[i] * 2 - min(vec[i], m2 - vec[i]); } if (co > t) { printf("-1\n"); return 0; } int minn = Bsearch(maxn, maxn * 2), ans = 0x3f3f3f3f; for (int i = 0; i < n; ++i) { if (num[i].val >= minn) { ans = min(ans, num[i].cost); } } if (ans == 0x3f3f3f3f) printf("-1\n"); else printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int main() { long long n, k, s, t; scanf("%lld %lld %lld %lld", &n, &k, &s, &t); vector<pair<long long, long long> > cars; for (int i = 0; i < n; i++) { long long a, b; scanf("%lld %lld", &a, &b); cars.push_back(make_pair(b, a)); } sort(cars.begin(), cars.end()); long long sum = 0; long long maxi = -1; long long last = 0; vector<long long> gas; for (int i = 0; i < k; i++) { long long a; scanf("%lld", &a); gas.push_back(a); } sort(gas.begin(), gas.end()); vector<long long> val; for (int i = 0; i < gas.size(); i++) { long long a = gas[i]; if (maxi < a - last) { maxi = a - last; } val.push_back(a - last); sum += a - last; last = a; } sum += s - last; val.push_back(s - last); if (maxi < s - last) { maxi = s - last; } if (t < s) { printf("-1\n"); return 0; } long long add = 0; if (t < 2 * s) { add = 2 * s - t; } long long min2 = maxi, max2 = 1000000000000000007, med = maxi; if (add) while (min2 < max2) { med = (min2 + max2) / 2; long long sum2 = 0; for (int i = 0; i < val.size(); i++) { sum2 += min(val[i], med - val[i]); } if (sum2 >= add) { max2 = med; } if (sum2 < add) { min2 = med + 1; } } long long ans = 1000000007; for (int i = 0; i < n; i++) { if (min2 <= cars[i].first) ans = min(ans, cars[i].second); } if (ans == 1000000007) printf("-1\n"); else printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 10, inf = 1e9; const long double pi = 3.14159265; long long n, k, s, t; long long gas[maxn]; vector<pair<long long, long long> > a; bool check(long long mid) { vector<long long> distance; distance.push_back(0); distance.push_back(s); for (int i = 0; i < k; i++) { distance.push_back(gas[i]); } sort(distance.begin(), distance.end()); long long fuel = mid, time = 0; for (int i = 1; i < distance.size(); i++) { long long dis = distance[i] - distance[i - 1]; if (dis > fuel) return 0; else { long long tmp = min(dis, fuel - dis); time += tmp + (dis - tmp) * 2; } } if (time > t) { return 0; } return 1; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) { long long x, y; cin >> x >> y; a.push_back(make_pair(y, x)); } for (int i = 0; i < k; i++) { cin >> gas[i]; } sort(a.begin(), a.end()); long long l = 0, r = t * 2; while (l < r - 1) { long long mid = (l + r) / 2; if (check(mid) == 1) { r = mid; } else { l = mid; } } long long ans = 9e9; if (check(r) == 0) { return cout << -1, 0; } for (int i = 0; i < a.size(); i++) { if (a[i].first >= r) { ans = min(ans, a[i].second); } } if (ans == 9e9) { return cout << -1, 0; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int OO = 2e9; const int MOD = 1e9 + 7; const double Pi = 3.141592653589793; const int N = 3e5 + 5; long long c[N], v[N], g[N], a[N], n, k, s, t, m = 0, mx = 0, mn = -1, res = OO; bool check(long long cap) { long long time = 0; for (int i = (int)1; i <= (int)m; i++) { if (a[i] > cap) return false; long long y = max(0LL, min(a[i], cap - a[i])), x = a[i] - y; time += 2LL * x + y; } return (time <= t); } int main() { cin >> n >> k >> s >> t; if (s > t) { cout << -1; return 0; } for (int i = (int)1; i <= (int)n; i++) scanf("%i%i", &v[i], &c[i]); for (int i = (int)1; i <= (int)k; i++) scanf("%i", &g[i]); g[++k] = s; g[++k] = 0; sort(g + 1, g + k + 1); for (int i = (int)2; i <= (int)k; i++) a[++m] = g[i] - g[i - 1], mx = max(mx, a[m]); long long l = mx, r = s * 2, mid; while (l <= r) { mid = (l + r) >> 1; if (check(mid)) mn = mid, r = mid - 1; else l = mid + 1; } for (int i = (int)1; i <= (int)n; i++) if (c[i] >= mn) res = min(res, v[i]); if (res == OO) cout << -1; else cout << res; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); int cars_cnt, fs_cnt, distance, til_time; cin >> cars_cnt >> fs_cnt >> distance >> til_time; vector<pair<int, int>> cars; cars.reserve(cars_cnt); for (int i = 0; i < cars_cnt; i++) { int ci, vi; cin >> ci >> vi; cars.push_back(make_pair(vi, ci)); } vector<int> gas_stations; gas_stations.reserve(fs_cnt); for (int i = 0; i < fs_cnt; i++) { int tmp; cin >> tmp; gas_stations.push_back(tmp); } gas_stations.push_back(distance); sort(gas_stations.begin(), gas_stations.end()); sort(cars.begin(), cars.end()); int l = -1, r = cars_cnt, m; while (r - l > 1) { m = l + (r - l) / 2; int t = 0; int fuel_max = cars[m].first; int p = 0; int dist = 0; bool ok = true; while (p < gas_stations.size()) { int travel = gas_stations[p] - dist; if (travel > fuel_max) { ok = false; break; } t += 2 * travel - min(travel, fuel_max - travel); dist = gas_stations[p]; p++; } if (t <= til_time && ok) { r = m; } else { l = m; } } int mm = 1000000001; for (int i = r; i < cars_cnt; i++) { if (cars[i].second < mm) { mm = cars[i].second; } } if (mm == 1000000001) { cout << -1 << endl; } else { cout << mm << endl; } }
#include <bits/stdc++.h> using namespace std; pair<int, int> p[200001]; int x[200001]; int main() { ios_base::sync_with_stdio(0), cin.tie(0); int n, k, s, t; cin >> n >> k >> s >> t; for (int i = 0; i < n; i++) { cin >> p[i].first >> p[i].second; } vector<pair<int, int> > vt; sort(p, p + n); for (int i = 0; i < n; i++) { if (vt.empty() || p[i].second > vt.back().second) { vt.push_back(p[i]); } } for (int i = 1; i <= k; i++) { cin >> x[i]; } sort(x + 1, x + k + 1); x[k + 1] = s; int l = -1; int r = vt.size(); while (l < r - 1) { int m = (l + r) / 2; int ct = 0; for (int j = 0; j <= k; j++) { if (vt[m].second < x[j + 1] - x[j]) { ct = t + 1; break; } int dt = min(vt[m].second - (x[j + 1] - x[j]), (x[j + 1] - x[j])); ct += 2 * (x[j + 1] - x[j]) - dt; } cerr << ct << "\n"; if (ct > t) { l = m; } else { r = m; } } if (r == vt.size()) cout << "-1"; else cout << vt[r].first; return 0; }
#include <bits/stdc++.h> using namespace std; bool ok(vector<int> &p, int v, int t) { long long spent = 0; for (int i = 0; i < (int)p.size() - 1; i++) { int len = p[i + 1] - p[i]; if (v < len) return false; int speedy = max(0.0, (2 * v - len) / 3.0); speedy = min(speedy, len); speedy = min(speedy, v - len); speedy = max(speedy, 0); spent += speedy; spent += 2 * (len - speedy); } return spent <= t; } namespace InputReader { char inputBuffer[5 * 1000 * 1000]; inline void getNextToken() { int memoryPointer = 0; while (true) { char c = static_cast<char>(getchar()); if ((c < '0' || c > '9') && c != '.' && c != '-') break; inputBuffer[memoryPointer++] = c; } inputBuffer[memoryPointer] = 0; } inline int nextInt() { getNextToken(); int ret = 0; int sign = 1; for (int i = 0; inputBuffer[i]; i++) { switch (inputBuffer[i]) { case '-': sign = -1; continue; default: ret = 10 * ret + inputBuffer[i] - '0'; } } return ret * sign; } inline long long nextLong() { getNextToken(); long long ret = 0; int sign = 1; for (int i = 0; inputBuffer[i]; i++) { switch (inputBuffer[i]) { case '-': sign = -1; continue; default: ret = 10 * ret + inputBuffer[i] - '0'; } } return ret * sign; } inline double nextDouble() { getNextToken(); double integerPart = 0.0; double fractionalPart = 0.0; bool fractionalPartStarted = false; double fractionalPartMultiplier = 0.1; int sign = -1; for (int i = 0; inputBuffer[i]; i++) { switch (inputBuffer[i]) { case '-': sign = -1; continue; case '.': fractionalPartStarted = true; continue; default: if (fractionalPartStarted) { fractionalPart += (inputBuffer[i] - '0') * fractionalPartMultiplier; fractionalPartMultiplier *= 0.1; } else { integerPart = 10 * integerPart + inputBuffer[i] - '0'; } } } } }; // namespace InputReader using namespace InputReader; int main() { int n, k, s, t; n = nextInt(); k = nextInt(); s = nextInt(); t = nextInt(); vector<pair<int, int>> a(n); for (int i = 0; i < n; i++) { a[i].first = nextInt(); a[i].second = nextInt(); } sort(a.begin(), a.end()); for (int i = 1; i < n; i++) { if (a[i - 1].second > a[i].second) a[i] = a[i - 1]; } vector<int> g; g.push_back(0); for (int i = 0; i < k; i++) { int x; cin >> x; g.push_back(x); } g.push_back(s); sort(g.begin(), g.end()); int low = 0, high = n - 1, opt = 2e9 + 5; for (int it = 0; it < 20; it++) { int mid = (low + high) / 2; int v = a[mid].second; if (ok(g, v, t)) { opt = min(opt, a[mid].first); high = mid; } else { low = mid + 1; } } if (opt > 2e9) opt = -1; cout << opt << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int n, k, s, t; vector<int> g; vector<pair<int, int> > cars; bool CanReach(int capacity) { int time_left = t; for (int i = 0; i < k - 1; i++) { int distance = g[i + 1] - g[i]; if (distance > capacity) return false; int accel = capacity - distance; if (accel > distance) accel = distance; int time = distance * 2 - accel; time_left -= time; if (time_left < 0) return false; } return true; } int main() { ios_base::sync_with_stdio(false); scanf("%d%d%d%d", &n, &k, &s, &t); g = vector<int>(k); cars = vector<pair<int, int> >(n); for (int i = 0; i < n; i++) scanf("%d%d", &cars[i].second, &cars[i].first); for (int i = 0; i < k; i++) scanf("%d", &g[i]); g.push_back(0); g.push_back(s); k += 2; sort(g.begin(), g.end()); sort(cars.begin(), cars.end()); for (int i = cars.size() - 1 - 1; i >= 0; i--) if (cars[i].second > cars[i + 1].second) cars[i].second = cars[i + 1].second; int l = 0, h = cars.size() - 1; while (l <= h) { int mid = (l + h) >> 1; if (CanReach(cars[mid].first)) h = mid - 1; else l = mid + 1; } if (l == n) cout << -1 << endl; else cout << cars[l].second << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1000000000 + 1; int n, k, s, t; vector<pair<int, int> > cars; vector<int> pos; int calc(int c) { int ret = 0; for (int i = 0; i < (int)pos.size(); ++i) { if (c >= pos[i] * 2) { ret += pos[i]; } else { ret += pos[i] * 2 - c + pos[i]; } } return ret; } int main() { scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 0; i < n; ++i) { int c, v; scanf("%d%d", &c, &v); cars.push_back(make_pair(v, c)); } for (int i = 0; i < k; ++i) { int g; scanf("%d", &g); pos.push_back(g); } pos.push_back(s); sort(pos.begin(), pos.end()); for (int i = k; i > 0; --i) { pos[i] -= pos[i - 1]; } sort(pos.begin(), pos.end()); int l = *pos.rbegin(), maxc = 2 * l + 1, r = maxc; while (l < r) { int m = ((r - l) >> 1) + l; if (calc(m) <= t) { r = m; } else { l = m + 1; } } int minc = l; if (minc == maxc) { printf("-1\n"); } else { int minv = INF; for (int i = 0; i < n; ++i) { if (cars[i].first >= minc) { minv = min(minv, cars[i].second); } } if (minv == INF) { printf("-1\n"); } else { printf("%d\n", minv); } } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); long long n, k, s, t; cin >> n >> k >> s >> t; vector<long long> c(n); vector<long long> v(n); for (int i = 0; i < n; ++i) cin >> c[i] >> v[i]; vector<long long> g(k); for (int i = 0; i < k; ++i) cin >> g[i]; g.push_back(0); sort(g.begin(), g.end()); for (int i = 0; i < g.size() - 1; ++i) g[i] = g[i + 1] - g[i]; g[g.size() - 1] = s - g[g.size() - 1]; long long l = 1, r = INT_MAX; while (l <= r) { long long mid = (l + r) / 2; bool flag = true; long long min_time = 0; for (int i = 0; i < g.size(); ++i) { if (g[i] > mid) { flag = false; break; } if (g[i] * 2 <= mid) min_time += g[i]; else { min_time += g[i] * 2 - (mid - g[i]); } } if (!flag || min_time > t) l = mid + 1; else r = mid - 1; } int ans = -1; for (int i = 0; i < n; ++i) { if (v[i] >= l && (ans == -1 || c[i] < ans)) ans = c[i]; } cout << ans; return 0; }
#include <bits/stdc++.h> template <typename T> bool _max(T& a, T b) { return (a < b) ? a = b, true : false; } template <typename T> bool _min(T& a, T b) { return (b < a) ? a = b, true : false; } unsigned S[200005]; std::pair<unsigned, unsigned> P[200005]; int main() { unsigned n, k, s, l = 0, ans = -1; unsigned long long t, wil, lazy = 0; scanf("%u%u%u%llu", &n, &k, &s, &t), S[0] = 0, S[k + 1] = s; for (unsigned i = 0; i < n; i++) scanf("%u%u", &P[i].second, &P[i].first); std::sort(P, P + n); for (unsigned i = 1; i <= k; i++) scanf("%u", S + i); std::sort(S + 1, S + k + 1); for (unsigned i = 0; i <= k; i++) S[i] = S[i + 1] - S[i]; std::sort(S, S + k + 1); for (unsigned i = 0; i < n; i++) { if (S[k] > P[i].first || P[i].second >= ans) continue; while (l <= k && P[i].first >= 2 * S[l]) lazy += S[l++]; wil = lazy; for (unsigned j = l; j <= k; j++) wil += 3 * S[j] - P[i].first; if (wil <= t) _min(ans, P[i].second); } printf("%d\n", (~ans) ? (int)ans : -1); return 0; }
#include <bits/stdc++.h> using namespace std; pair<long long, long long> a[200 * 1000 + 7]; long long b[200 * 1000 + 7]; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); long long n, k, s, T, t, i, j, L, M, R, ans = INT_MAX; cin >> n >> k >> s >> T; for (i = 1; i <= n; i++) cin >> a[i].first >> a[i].second; for (i = 1; i <= k; i++) cin >> b[i]; sort(b + 1, b + k + 1); b[k + 1] = s; L = 0; R = 1000 * 1000 * 1000; t = 0; for (i = 1; i <= k + 1; i++) { t += 2 * (b[i] - b[i - 1]) - min(R - (b[i] - b[i - 1]), b[i] - b[i - 1]) * 1; } if (t > T) { cout << -1; return 0; } while (R - L > 1) { M = (L + R) / 2; t = 0; for (i = 1; i <= k + 1; i++) { if (b[i] - b[i - 1] > M) { L = M; goto m1; } t += 2 * (b[i] - b[i - 1]) - min(M - (b[i] - b[i - 1]), b[i] - b[i - 1]) * 1; } if (t <= T) R = M; else L = M; m1:; } for (i = 1; i <= n; i++) if (a[i].second >= R && a[i].first < ans) ans = a[i].first; if (ans == INT_MAX) cout << -1; else cout << ans; }
#include <bits/stdc++.h> using namespace std; int n, k; long long s, t; pair<long long, long long> u[200007]; long long a[200007]; bool f(long long val) { int i; long long cur = 0; for (i = 0; i <= k; i++) { long long dist = a[i + 1] - a[i]; if (val < dist) { return false; } long long h = (val - dist); if (h >= dist) { cur += dist; } else { cur += h; cur += 2 * (dist - h); } if (cur > t) { return false; } } return true; } void input() { scanf("%d%d", &n, &k); scanf("%I64d%I64d", &s, &t); int i; for (i = 1; i <= n; i++) { scanf("%I64d%I64d", &u[i].first, &u[i].second); } for (i = 1; i <= k; i++) { scanf("%I64d", &a[i]); } sort(a + 1, a + k + 1); a[0] = 0; a[k + 1] = s; } void solve() { if (t < s) { printf("-1\n"); return; } long long l, r, mid; l = r = 1; int i; for (i = 1; i <= 12; i++) { r *= 10; } while ((r - l) > 3) { mid = (l + r) / 2; if (f(mid) == true) { r = mid; } else { l = mid; } } while (f(l) == false) { l++; } long long ans = -1; for (i = 1; i <= n; i++) { if (u[i].second < l) { continue; } if (ans == -1 || ans > u[i].first) { ans = u[i].first; } } printf("%I64d\n", ans); } int main() { ios::sync_with_stdio(false); cin.tie(NULL); input(); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; long long i, j, k, l, m, n, s, a[311111], b[322222], c[222222], d, e, t, nn, mm, x, ll; string p, q, r, w, ww; multiset<long long> ms; pair<long long, long long> y[311111]; vector<long long> u[111], uu, o; int main() { cin >> n >> k >> l >> t; for (i = 0; i < n; i++) { scanf("%I64d %I64d", &a[i], &b[i]); } c[0] = 0; for (i = 1; i <= k; i++) scanf("%I64d", &c[i]); c[k + 1] = l; k += 2; sort(c, c + k); for (i = 0; i < k - 1; i++) c[i] = c[i + 1] - c[i]; k--; sort(c, c + k); d = c[k - 1]; e = 111111111111111; while (e > d) { s = 0; m = (d + e) / 2; for (i = 0; i < k; i++) { if (m >= 2 * c[i]) s += c[i]; else { s += 3 * c[i] - m; } } if (s <= t) e = m; else d = m + 1; } m = d; s = 111111111111; d = 0; for (i = 0; i < n; i++) { if (b[i] >= m) { d = 1; s = min(s, a[i]); } } if (d == 0) cout << -1; else cout << s; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; const long long inf = mod * mod; pair<int, int> p[210000]; int f[210000]; int g[210000]; int main() { int a, b, c, d; scanf("%d%d%d%d", &a, &b, &c, &d); int ret = mod; for (int i = 0; i < a; i++) { int x, y; scanf("%d%d", &x, &y); p[i] = make_pair(y, x); } std::sort(p, p + a); for (int i = 0; i < b; i++) scanf("%d", f + i); f[b] = c; std::sort(f, f + b + 2); for (int i = 0; i < b + 1; i++) { g[i] = f[i + 1] - f[i]; } std::sort(g, g + b + 1); b++; int at = 0; long long tn = 0; long long al = 0; for (int i = 0; i < b; i++) tn += g[i]; tn *= 3; for (int i = 0; i < a; i++) { if (g[b - 1] > p[i].first) continue; while (at < b && g[at] * 2 <= p[i].first) { tn -= 3LL * g[at]; al += g[at]; at++; } long long cost = al + tn - (long long)(b - at) * p[i].first; if (cost <= d) ret = min(ret, p[i].second); } if (ret == mod) ret = -1; printf("%d\n", ret); }
#include <bits/stdc++.h> using namespace std; int n, k, s, t; int g[200005], c[200005], v[200005], l[200005]; int suml[200005]; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); cin >> n >> k >> s >> t; for (int i = 1; i <= n; i++) { cin >> c[i] >> v[i]; } for (int i = 1; i <= k; i++) { cin >> g[i]; } k++; sort(g + 1, g + k); g[k] = s; for (int i = 1; i <= k; i++) { l[i] = g[i] - g[i - 1]; } sort(l + 1, l + k + 1); for (int i = 1; i <= k; i++) { suml[i] = suml[i - 1] + l[i]; } int mc = 1999999999; for (int i = 1; i <= n; i++) { int c = ::c[i]; int v = ::v[i]; if (v < l[k]) { continue; } int split = upper_bound(l + 1, l + k + 1, v / 2) - l; int t_fast = suml[split - 1]; long long t_eco = 3ll * (suml[k] - suml[split - 1]) - v * 1ll * (k - split + 1); if (t_fast + t_eco <= t) { mc = min(mc, c); } } if (mc == 1999999999) { mc = -1; } cout << mc; }
#include <bits/stdc++.h> using namespace std; struct car { long long v, c; }; bool comp(const car &a, const car &b) { return a.v > b.v; } long long g[202020]; car m[202020]; int n, k; long long s, t; bool gtime(int val) { long long cur(0), res(0); for (int i(0); i < k; ++i) { if (g[i] - cur > m[val].v) return false; long long dist(g[i] - cur); res += max(dist, 3 * dist - m[val].v); cur = g[i]; } return res <= t; } int main() { ios_base::sync_with_stdio(false); cin >> n >> k >> s >> t; for (int i(0); i < n; ++i) cin >> m[i].c >> m[i].v; sort(m, m + n, comp); for (int i(0); i < k; ++i) cin >> g[i]; g[k++] = s; sort(g, g + k); int l(0), r(n); while (l + 1 < r) { if (gtime((l + r) / 2)) { l = (l + r) / 2; } else r = (l + r) / 2; } if (!gtime(l)) { cout << -1; return 0; } long long ans(1e9 + 1); for (int i(0); i <= l; ++i) ans = min(ans, m[i].c); cout << ans; }
#include <bits/stdc++.h> using namespace std; const int inf = 2100000000; int s, t, ans, i, j, k, n, m, a[310001], mid, b[310001], g[310001], l, r; bool check(int x) { int i, j, k = 0; for (i = 1; i <= m + 1; i++) { if (g[i] - g[i - 1] > x) return 0; k += min(x - g[i] + g[i - 1], g[i] - g[i - 1]); } return k >= 2LL * (long long)s - t; } int main() { scanf("%d%d%d%d", &n, &m, &s, &t); for (k = 0, i = 1; i <= n; i++) scanf("%d%d", &a[i], &b[i]), k = max(k, b[i]); for (i = 1; i <= m; i++) scanf("%d", &g[i]); sort(g + 1, g + 1 + m); g[0] = 0; g[m + 1] = s; if (!check(k)) { puts("-1"); return 0; } for (l = 0, r = k; l < r - 1;) { mid = ((long long)l + (long long)r) / 2LL; if (check(mid)) r = mid; else l = mid + 1; } k = (check(l)) ? l : r; for (i = 1, ans = inf; i <= n; i++) if (b[i] >= k) ans = min(ans, a[i]); printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> template <typename T> inline T max(T a, T b) { return a > b ? a : b; } template <typename T> inline T min(T a, T b) { return a < b ? a : b; } template <typename T> inline T abs(T a) { return a > 0 ? a : -a; } template <typename T> inline void repr(T &a, T b) { if (a < b) a = b; } template <typename T> inline void repl(T &a, T b) { if (a > b) a = b; } template <typename T> T gcd(T a, T b) { if (b) return gcd(b, a % b); return a; } int n, k, s, t, g[200002]; struct hh { int c, v; bool operator<(hh x) const { return c < x.c; } } u[200000]; int main() { scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 0; i < n; i++) scanf("%d%d", &u[i].c, &u[i].v); std::sort(u, u + n); for (int i = 0; i < k; i++) scanf("%d", g + i); g[k] = 0, g[k + 1] = s; std::sort(g, g + k + 2); int l = 0, r = 2000000000; while (r - l > 1) { int p = (l + r) / 2; long long tm = 0; for (int i = 0; i <= k; i++) { if (p < g[i + 1] - g[i]) { tm = 0x7fffffffffffffff; break; } tm += max((long long)(g[i + 1] - g[i]) * 3 - p, (long long)(g[i + 1] - g[i])); } if (tm > t) l = p; else r = p; } for (int i = 0; i < n; i++) if (u[i].v >= r) { printf("%d", u[i].c); return 0; } puts("-1"); }
#include <bits/stdc++.h> using namespace std; int g[200009], n, k, s, t; long long ans = 1e10; long long time(long long c) { long long sum = 0; for (int i = 1; i <= k + 1; i++) { long long d = g[i] - g[i - 1]; if (c < d) return 0; long long d1 = min(c - d, d); long long d2 = d - d1; sum += d1 + 2 * d2; } return sum <= t; } int main() { ios_base::sync_with_stdio(false); cin >> n >> k >> s >> t; pair<int, int> arr[n + 9]; g[0] = 0, g[k + 1] = s; for (int i = 0; i < n; i++) cin >> arr[i].first >> arr[i].second; for (int i = 1; i <= k; i++) cin >> g[i]; sort(g, g + k + 2); long long low = 1, high = 1e10, m, cc; while (low <= high) { m = (low + high) / 2; if (time(m)) high = m - 1, cc = m; else low = m + 1; } for (int i = 0; i < n; i++) { if (arr[i].second >= cc && arr[i].first < ans) ans = arr[i].first; } cout << (ans != 1e10 ? ans : -1); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxN = 200002, INF = 2000000001; pair<int, int> cars[maxN]; int k, gas[maxN]; int min_time(int cap) { int t = 0; for (int i = 0; i <= k; i++) { int d = gas[i + 1] - gas[i]; if (cap < d) return INF; t += (cap >= d * 2 ? d : d * 2 - (cap % d)); } return t; } int main() { int n, s, t; scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 0; i < n; i++) scanf("%d%d", &cars[i].first, &cars[i].second); for (int i = 1; i <= k; i++) scanf("%d", gas + i); sort(gas, gas + k + 1); gas[k + 1] = s; int begin = 0, end = s * 2 + 1; while (end - begin > 1) { int middle = (begin + end) / 2; min_time(middle) <= t ? end = middle : begin = middle; } if (end == s * 2 + 1) { printf("-1\n"); return 0; } int res = INF; for (int i = 0; i < n; i++) { if (cars[i].second >= end) res = min(res, cars[i].first); } printf("%d\n", (res == INF ? -1 : res)); return 0; }
#include <bits/stdc++.h> using namespace std; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int n, k, s, t, c[200010], v[200010], g[200010], sum[200010]; vector<int> l; bool check(int V) { if (V < l.back()) return false; auto it = upper_bound(l.begin(), l.end(), V / 2); int cost = 0; if (it != l.end()) { int pos = it - l.begin(); int len = s - sum[pos]; cost += 3 * len - V * (int((l).size()) - pos); cost += sum[pos]; } else { cost = s; } return cost <= t; } int solve() { sort((l).begin(), (l).end()); for (int i = 1; i < int((l).size()); i++) sum[i] = sum[i - 1] + l[i - 1]; int ans = -1; for (int i = 0; i < n; i++) { if (check(v[i])) ans = ans == -1 ? c[i] : min(ans, c[i]); } return ans; } int main() { scanf("%d%d%d%d", &n, &k, &s, &t); for (int i = 0; i < n; i++) scanf("%d%d", &c[i], &v[i]); for (int i = 1; i <= k; i++) scanf("%d", &g[i]); sort(g + 1, g + 1 + k); for (int i = 1; i <= k; i++) l.push_back(g[i] - g[i - 1]); l.push_back(s - g[k]); printf("%d\n", solve()); return 0; }
#include <bits/stdc++.h> using namespace std; int mod = 1e9 + 7; long long powmod(long long a, long long b) { long long res = 1; if (a >= mod) a %= mod; for (; b; b >>= 1) { if (b & 1) res = res * a; if (res >= mod) res %= mod; a = a * a; if (a >= mod) a %= mod; } return res; } long long gcd(long long a, long long b) { return b == 0 ? a : gcd(b, a % b); } const int N = 200000 + 5; long long n, k, s, t, len[N], c[N], v[N], g[N], sum[N]; int ans = mod; long long maxlen; bool ok(long long cap) { long long tim = 0; int idx = upper_bound(len, len + k, cap / 2) - len; if (idx) tim += sum[idx - 1]; if (idx != k) { tim -= cap * 1LL * (k - idx); tim += 3 * sum[k - 1]; if (idx) tim -= 3 * sum[idx - 1]; } return tim <= t; } int main() { ios_base::sync_with_stdio(false); ; cin.tie(0); int i, j; cin >> n >> k >> s >> t; for (i = 0; i < n; i++) { cin >> c[i] >> v[i]; } for (i = 0; i < k; i++) { cin >> g[i]; } sort(g, g + k); g[k] = s; int last = 0; for (i = 0; i <= k; i++) { len[i] = g[i] - last; last = g[i]; maxlen = max(maxlen, len[i]); } k++; sort(len, len + k); sum[0] = len[0]; for (i = 1; i < k; i++) sum[i] = len[i] + sum[i - 1]; for (i = 0; i < n; i++) { if (v[i] >= maxlen && ans > c[i] && ok(v[i])) ans = c[i]; } if (ans == mod) ans = -1; cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> g; int n, k, s, t; bool check(long long v) { int cur = 0; long long res = 0; for (auto go : g) { int dist = go - cur; int l = 0, r = dist + 1; while (l < r - 1) { long long m = (l + r) / 2; if (2 * m + (dist - m) <= v) { l = m; } else { r = m; } } if (2 * l + (dist - l) > v) { return 0; } res += l + 2 * (dist - l); cur = go; } return res <= t; } int main() { ios::sync_with_stdio(0); cin >> n >> k >> s >> t; vector<pair<int, int> > cv; for (int i = 0; i < n; i++) { int c, v; cin >> c >> v; cv.push_back({c, v}); } for (int i = 0; i < k; i++) { int x; cin >> x; g.push_back(x); } g.push_back(s); sort(g.begin(), g.end()); long long l = -1, r = 2e9 + 7; while (l < r - 1) { long long m = (l + r) / 2; if (check(m)) { r = m; } else { l = m; } } int res = 2e9; for (int i = 0; i < n; i++) { if (cv[i].second >= r) { res = min(res, cv[i].first); } } cout << (res == 2e9 ? -1 : res) << '\n'; }