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#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, x, y; cin >> n >> x >> y; string s; cin >> s; string s1 = "1"; while (x--) { if (x == y) { s1 += '1'; } else { s1 += '0'; } } int j = s.size() - 1; int cnt = 0; for (int i = s1.size() - 1; i > 0; i--) { if (s1[i] != s[j]) { cnt++; } j--; } cout << cnt << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, i, x, y, count = 0; cin >> n >> x >> y; char s[200001]; cin >> s; for (i = n - x; s[i] != '\0'; i++) { if (i != n - y - 1 && s[i] == '1') count++; if (i == n - y - 1 && s[i] == '0') count++; } cout << count; }
#include <bits/stdc++.h> using namespace std; const int N = 1e2 + 10; const int maxs = 1e5 + 10; const int maxn = 2e3 + 10; const int maxm = 6e3 + 10; const long long INF = 1e14 + 10; const long long INF_CAP = INF; struct spaceship { int x, a, f, p; } sp[maxs]; struct base { int d, g; bool operator<(const base& b) const { return d < b.d; } }; long long best_goal[maxs]; vector<base> ba[N]; vector<int> pre[N]; vector<int> g[maxs]; bool used[maxs]; int w[N][N], id[maxs]; struct Dinic { int n, m, s, t, pos; int d[maxn], head[maxn], que[maxn], ptr[maxn]; int to[maxm], nxt[maxm]; long long cap[maxm]; void init() { memset(head, -1, sizeof head); } void addedge(int a, int b, long long c) { cap[m] = c; to[m] = b; nxt[m] = head[a]; head[a] = m++; cap[m] = 0; to[m] = a; nxt[m] = head[b]; head[b] = m++; } bool bfs() { pos = 0; memset(d, -1, sizeof d); que[pos++] = s; d[s] = 0; for (int i = 0; i < pos; i++) { int x = que[i]; for (int u = head[x]; ~u; u = nxt[u]) { if (d[to[u]] == -1 && cap[u]) { d[to[u]] = d[x] + 1; que[pos++] = to[u]; if (d[t] != -1) return true; } } } return d[t] != -1; } long long dfs(int o, long long mi) { if (o == t || mi == 0) return mi; long long res = 0; for (int& x = ptr[o]; ~x; x = nxt[x]) if (d[to[x]] == d[o] + 1 && cap[x]) { long long tmp = dfs(to[x], min(mi, cap[x])); cap[x] -= tmp; cap[x ^ 1] += tmp; if (tmp > 0) return tmp; } return res; } long long maxflow(int s, int t) { this->s = s; this->t = t; long long res = 0; while (bfs()) { memcpy(ptr, head, sizeof head); res += dfs(s, INF_CAP); } return res; } } D; int main() { D.init(); int n, m, s, b, k; scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) fill(w[i] + 1, w[i] + 1 + n, n), w[i][i] = 0; for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); w[b][a] = w[a][b] = min(w[a][b], 1); } for (int d = 1; d <= n; d++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { w[i][j] = min(w[i][j], w[i][d] + w[d][j]); } } } scanf("%d%d%d", &s, &b, &k); for (int i = 1; i <= s; i++) { scanf("%d%d%d%d", &sp[i].x, &sp[i].a, &sp[i].f, &sp[i].p); } for (int i = 0; i < b; i++) { int x, d, g; scanf("%d%d%d", &x, &d, &g); ba[x].push_back(base{d, g}); } for (int i = 1; i <= n; i++) if (ba[i].size()) { int sz = (int)ba[i].size(); sort(ba[i].begin(), ba[i].end()); pre[i].resize(sz); pre[i][0] = ba[i][0].g; for (int j = 1; j < sz; j++) pre[i][j] = max(pre[i][j - 1], ba[i][j].g); } for (int i = 1; i <= s; i++) { best_goal[i] = -INF_CAP; int x = sp[i].x; for (int j = 1; j <= n; j++) { if (w[x][j] <= sp[i].f) { int pos = upper_bound(ba[j].begin(), ba[j].end(), base{sp[i].a, 0}) - ba[j].begin(); --pos; if (pos >= 0) { best_goal[i] = max(best_goal[i], (long long)pre[j][pos] - sp[i].p); } } } } for (int i = 0; i < k; i++) { int a, b; scanf("%d%d", &a, &b); g[a].push_back(b); used[a] = used[b] = 1; } long long ans = 0; int cnt = 0; for (int i = 1; i <= s; i++) { if (!used[i]) { if (best_goal[i] > 0) ans += best_goal[i]; } else { id[i] = ++cnt; } } int st = 0, ed = cnt + 1; cnt = 0; for (int i = 1; i <= s; i++) { if (used[i]) { if (best_goal[i] >= 0) ans += best_goal[i], D.addedge(st, id[i], best_goal[i]); else D.addedge(id[i], ed, -best_goal[i]); for (auto& u : g[i]) D.addedge(id[i], id[u], INF_CAP); } } ans -= D.maxflow(st, ed); printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; using Graph = vector<vector<int>>; using ll = long long; const ll INF = 1e18; class Dinic { private: const static ll INF = 8 * (ll)1e18; struct Edge { const int t; const ll c; ll a; Edge(int tar, ll cap = INF) : t(tar), c(cap), a(cap) {} }; vector<Edge> edges; vector<vector<int>> conns; vector<int> dist, act_ind; ll push(int ei, ll v) { edges[ei].a -= v; edges[ei ^ 1].a += v; return v; } void calcDists(int sink) { for (int& v : dist) v = -1; dist[sink] = 0; vector<int> que = {sink}; for (int j = 0; j < que.size(); ++j) { for (auto ei : conns[que[j]]) { int t = edges[ei].t; if (edges[ei ^ 1].a > 0 && dist[t] == -1) { dist[t] = dist[que[j]] + 1; que.push_back(t); } } } } ll dfsFlow(int i, int sink, ll cap) { if (i == sink) return 0; for (int& j = act_ind[i]; j < conns[i].size(); ++j) { int ei = conns[i][j]; int t = edges[ei].t; if (dist[t] != dist[i] - 1 || edges[ei].a == 0) continue; ll subcap = min(cap, edges[ei].a); cap -= push(ei, subcap - dfsFlow(t, sink, subcap)); if (!cap) return 0; } return cap; } public: Dinic(int n) : conns(n), dist(n), act_ind(n) {} int addEdge(int s, int t, ll c = INF, bool dir = 1) { int i = edges.size() / 2; edges.emplace_back(t, c); edges.emplace_back(s, dir ? 0 : c); conns[s].push_back(2 * i); conns[t].push_back(2 * i + 1); return i; } ll pushFlow(int source, int sink) { for (ll res = 0;;) { calcDists(sink); if (dist[source] == -1) return res; for (int& v : act_ind) v = 0; res += INF - dfsFlow(source, sink, INF); } } ll getFlow(int i) const { return edges[2 * i].c - edges[2 * i].a; } }; ll solve(const Graph& g, const vector<ll>& vals) { int n = g.size(); int source = n; int sink = n + 1; Dinic dinic(n + 2); ll res = 0; for (int i = 0; i < n; ++i) { if (vals[i] < 0) { dinic.addEdge(i, sink, -vals[i]); } else { dinic.addEdge(source, i, vals[i]); res += vals[i]; } for (auto t : g[i]) { dinic.addEdge(i, t); } } res -= dinic.pushFlow(source, sink); return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector<vector<ll>> dist(n); for (int i = 0; i < n; ++i) { dist[i].resize(n, INF); dist[i][i] = 0; } for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a; --b; dist[a][b] = 1; dist[b][a] = 1; } for (int i = 0; i < n; ++i) { for (int a = 0; a < n; ++a) { for (int b = 0; b < n; ++b) { dist[a][b] = min(dist[a][b], dist[a][i] + dist[i][b]); } } } int s, b, k; cin >> s >> b >> k; vector<tuple<int, int, int, int>> ships(s); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; cin >> loc >> atk >> fuel >> cost; --loc; ships[i] = tie(loc, atk, fuel, cost); } vector<tuple<int, int, int>> bases(b); for (int i = 0; i < b; ++i) { int tar, def, gold; cin >> tar >> def >> gold; --tar; bases[i] = tie(tar, def, gold); } sort(bases.begin(), bases.end()); vector<vector<pair<int, int>>> offs(n); for (int i = 0; i < b; ++i) { int tar, def, gold; tie(tar, def, gold) = bases[i]; if (offs[tar].empty() || offs[tar].back().second < gold) { offs[tar].push_back({def, gold}); } } vector<ll> vals(s, -INF); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; tie(loc, atk, fuel, cost) = ships[i]; for (int t = 0; t < n; ++t) { if (dist[loc][t] > fuel) continue; int low = -1; int high = (int)offs[t].size() - 1; while (low != high) { int mid = (low + high + 1) >> 1; if (atk >= offs[t][mid].first) low = mid; else high = mid - 1; } if (low >= 0) vals[i] = max(vals[i], (ll)offs[t][low].second); } vals[i] -= cost; } Graph g(s); for (int j = 0; j < k; ++j) { int x, y; cin >> x >> y; --x; --y; g[x].push_back(y); } ll res = solve(g, vals); cout << res << '\n'; }
#include <bits/stdc++.h> using namespace std; struct Edge { int from, to, index; long long cap, flow; Edge(int from, int to, long long cap, long long flow, int index) : from(from), to(to), index(index), cap(cap), flow(flow) {} }; struct Dinic { int N; vector<vector<Edge>> G; vector<Edge *> dad; vector<int> Q; Dinic(int N) : N(N), G(N), dad(N), Q(N) {} void AddEdge(int from, int to, long long cap) { G[from].push_back(Edge(from, to, cap, 0, G[to].size())); if (from == to) G[from].back().index++; G[to].push_back(Edge(to, from, 0, 0, G[from].size() - 1)); } long long BlockingFlow(int s, int t) { fill(dad.begin(), dad.end(), nullptr); dad[s] = &G[0][0] - 1; int head = 0, tail = 0; Q[tail++] = s; while (head < tail) { int x = Q[head++]; for (int i = 0; i < G[x].size(); i++) { Edge &e = G[x][i]; if (!dad[e.to] && e.cap - e.flow > 0) { dad[e.to] = &G[x][i]; Q[tail++] = e.to; } } } if (!dad[t]) return 0; long long totflow = 0; for (int i = 0; i < G[t].size(); i++) { Edge *start = &G[G[t][i].to][G[t][i].index]; long long amt = 1e18; for (Edge *e = start; amt && e != dad[s]; e = dad[e->from]) { if (!e) { amt = 0; break; } amt = min(amt, e->cap - e->flow); } if (amt == 0) continue; for (Edge *e = start; amt && e != dad[s]; e = dad[e->from]) { e->flow += amt; G[e->to][e->index].flow -= amt; } totflow += amt; } return totflow; } long long GetMaxFlow(int s, int t) { long long totflow = 0; while (long long flow = BlockingFlow(s, t)) totflow += flow; return totflow; } }; int n, m, k, s, b; int d[100][100]; int sa[100000]; long long sp[100000], sbest[100000]; vector<int> rs[100]; map<int, long long> gold[100]; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) d[i][j] = -1; for (int i = 0; i < n; ++i) d[i][i] = 0; for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; u--; v--; if (d[u][v] == -1) d[u][v] = d[v][u] = 1; } for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) for (int k = 0; k < n; ++k) { if (d[j][i] == -1 || d[i][k] == -1) continue; d[j][k] = min(d[j][k] == -1 ? (int)1e9 : d[j][k], d[j][i] + d[i][k]); } } cin >> s >> b >> k; for (int i = 0; i < s; ++i) { int sx, sf; cin >> sx >> sa[i] >> sf >> sp[i]; sx--; sbest[i] = -1e18; for (int j = 0; j < n; ++j) { if (d[sx][j] != -1 && sf >= d[sx][j]) rs[j].push_back(i); } } for (int i = 0; i < b; ++i) { int bx, bd, bg; cin >> bx >> bd >> bg; bx--; gold[bx][bd] = max(gold[bx][bd], (long long)bg); } for (int i = 0; i < n; ++i) { vector<pair<int, long long>> v; for (auto it : gold[i]) v.push_back({it.first, max(v.empty() ? 0 : v.back().second, it.second)}); sort(rs[i].begin(), rs[i].end(), [](int a, int b) { return sa[a] < sa[b]; }); int j = 0; for (int k = 0; k < v.size(); ++k) { while (j < rs[i].size() && sa[rs[i][j]] < v[k].first) j++; while (j < rs[i].size() && (k == v.size() - 1 || sa[rs[i][j]] < v[k + 1].first)) { sbest[rs[i][j]] = max(sbest[rs[i][j]], v[k].second - sp[rs[i][j]]); j++; } } } long long res = 0; for (int i = 0; i < s; ++i) if (sbest[i] >= 0) res += sbest[i]; Dinic dinic(s + 2); for (int i = 0; i < s; ++i) { if (sbest[i] >= 0) dinic.AddEdge(0, i + 2, sbest[i]); else dinic.AddEdge(i + 2, 1, -sbest[i]); } for (int i = 0; i < k; ++i) { int u, v; cin >> u >> v; u--; v--; dinic.AddEdge(u + 2, v + 2, 1e18); } res -= dinic.GetMaxFlow(0, 1); cout << res << "\n"; }
#include <bits/stdc++.h> #pragma comment(linker, "/stack:200000000") #pragma GCC optimize("Ofast") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") using namespace std; using Graph = vector<vector<int>>; using ll = long long; const ll INF = 1e18; struct MaxFlow { struct edge { int a, b; ll c; }; vector<edge> es; vector<vector<int>> g; vector<int> d, pt; MaxFlow(int n) : g(n + 1), d(n + 1), pt(n + 1) {} void addEdge(int a, int b, ll c) { es.push_back({a, b, c}); g[a].push_back((int)es.size() - 1); es.push_back({b, a, 0}); g[b].push_back((int)es.size() - 1); } bool bfs(int source, int sink) { queue<int> q({source}); fill(d.begin(), d.end(), (int)g.size() + 1); d[source] = 0; while (!q.empty()) { int x = q.front(); q.pop(); if (x == sink) break; for (int k : g[x]) { edge& e = es[k]; if (e.c > 0 && d[e.b] > d[e.a] + 1) { d[e.b] = d[e.a] + 1; q.push(e.b); } } } return d[sink] != (int)g.size() + 1; } ll flow(int x, int sink, ll fl = INF) { if (x == sink || fl == 0) return fl; for (int& i = pt[x]; i < (int)g[x].size(); i++) { edge& e = es[g[x][i]]; edge& oe = es[g[x][i] ^ 1]; if (d[e.b] == d[e.a] + 1) { if (ll pf = flow(e.b, sink, min(e.c, fl))) { e.c -= pf; oe.c += pf; return pf; } } } return 0; } ll getMaxFlow(int source, int sink) { ll r = 0; while (bfs(source, sink)) { fill(pt.begin(), pt.end(), 0); while (ll t = flow(source, sink)) r += t; } return r; } }; ll solve(const Graph& g, const vector<ll>& vals) { int n = g.size(); int source = n; int sink = n + 1; ll res = 0; MaxFlow dinic(n + 2); for (int i = 0; i < n; ++i) { if (vals[i] < 0) { dinic.addEdge(i, sink, -vals[i]); } else { dinic.addEdge(source, i, vals[i]); res += vals[i]; } for (auto t : g[i]) { dinic.addEdge(i, t, INF); } } res -= dinic.getMaxFlow(source, sink); return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector<vector<ll>> dist(n); for (int i = 0; i < n; ++i) { dist[i].resize(n, INF); dist[i][i] = 0; } for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a; --b; dist[a][b] = 1; dist[b][a] = 1; } for (int i = 0; i < n; ++i) { for (int a = 0; a < n; ++a) { for (int b = 0; b < n; ++b) { dist[a][b] = min(dist[a][b], dist[a][i] + dist[i][b]); } } } int s, b, k; cin >> s >> b >> k; vector<tuple<int, int, int, int>> ships(s); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; cin >> loc >> atk >> fuel >> cost; --loc; ships[i] = tie(loc, atk, fuel, cost); } vector<tuple<int, int, int>> bases(b); for (int i = 0; i < b; ++i) { int tar, def, gold; cin >> tar >> def >> gold; --tar; bases[i] = tie(tar, def, gold); } sort(bases.begin(), bases.end()); vector<vector<pair<int, int>>> offs(n); for (int i = 0; i < b; ++i) { int tar, def, gold; tie(tar, def, gold) = bases[i]; if (offs[tar].empty() || offs[tar].back().second < gold) { offs[tar].push_back({def, gold}); } } vector<ll> vals(s, -INF); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; tie(loc, atk, fuel, cost) = ships[i]; for (int t = 0; t < n; ++t) { if (dist[loc][t] > fuel) continue; int low = -1; int high = (int)offs[t].size() - 1; while (low != high) { int mid = (low + high + 1) >> 1; if (atk >= offs[t][mid].first) low = mid; else high = mid - 1; } if (low >= 0) vals[i] = max(vals[i], (ll)offs[t][low].second); } vals[i] -= cost; } Graph g(s); for (int j = 0; j < k; ++j) { int x, y; cin >> x >> y; --x; --y; g[x].push_back(y); } ll res = solve(g, vals); cout << res << '\n'; }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v; long long cap, flow; Edge() {} Edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; struct Dinic { int N; vector<Edge> E; vector<vector<int>> g; vector<int> d, pt; Dinic(int N) : N(N), E(0), g(N), d(N), pt(N) {} void AddEdge(int u, int v, long long cap) { if (u != v) { E.emplace_back(Edge(u, v, cap)); g[u].emplace_back(E.size() - 1); E.emplace_back(Edge(v, u, 0)); g[v].emplace_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q({S}); fill(d.begin(), d.end(), N + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int k : g[u]) { Edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.emplace(e.v); } } } return d[T] != N + 1; } long long DFS(int u, int T, long long flow = -1) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { Edge &e = E[g[u][i]]; Edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = e.cap - e.flow; if (flow != -1 && amt > flow) amt = flow; if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long MaxFlow(int S, int T) { long long total = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) total += flow; } return total; } }; struct ship_t { long long x, a, f, p; }; struct base_t { long long x, d, g; bool operator<(const base_t &o) const { return d < o.d; } }; const int N = 1e2 + 10, S = 1e5 + 10; const long long inf = 1e12 + 42; ship_t ship[S]; base_t base[S]; long long g[N][N]; vector<int> dep[S]; vector<pair<long long, long long>> bases_at[N]; bool seen[S]; long long val[S]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); ; int n, m; cin >> n >> m; for (int i = 1; i <= n; ++i) { for (int j = i + 1; j <= n; ++j) { g[i][j] = g[j][i] = inf; } } for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; g[u][v] = g[v][u] = min(g[u][v], 1ll); } for (int k = 1; k <= n; ++k) { for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { g[i][j] = min(g[i][j], g[i][k] + g[k][j]); } } } int s, b, k; cin >> s >> b >> k; for (int i = 1; i <= s; ++i) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p; } for (int i = 1; i <= b; ++i) { cin >> base[i].x >> base[i].d >> base[i].g; } sort(base + 1, base + 1 + b); for (int i = 1; i <= b; ++i) { int p = base[i].x; if (bases_at[p].empty() or bases_at[p].back().second < base[i].g) { bases_at[p].push_back({base[i].d, base[i].g}); } } Dinic dinic(s + 2); int source = 0, sink = s + 1; long long ans = 0; for (int i = 1; i <= s; ++i) { bool found = false; for (int p = 1; p <= n; ++p) { if (g[ship[i].x][p] > ship[i].f) { continue; } auto it = upper_bound(bases_at[p].begin(), bases_at[p].end(), make_pair(ship[i].a, inf)); if (it != bases_at[p].begin()) { --it; val[i] = max(val[i], it->second); found = true; } } val[i] -= ship[i].p; if (!found) { val[i] = -inf; } if (val[i] >= 0) { ans += val[i]; dinic.AddEdge(source, i, val[i]); } else { dinic.AddEdge(i, sink, -val[i]); } } for (int i = 1; i <= k; ++i) { int u, v; cin >> u >> v; dep[u].push_back(v); } for (int i = 1; i <= s; ++i) { if (val[i] < 0) { continue; } vector<int> vis = {i}; queue<int> q; q.push(i); seen[i] = true; while (!q.empty()) { int u = q.front(); q.pop(); if (val[u] < 0) { dinic.AddEdge(i, u, inf); } for (auto &v : dep[u]) { if (!seen[v]) { seen[v] = true; vis.push_back(v); q.push(v); } } } for (auto &u : vis) { seen[u] = false; } } cout << ans - dinic.MaxFlow(source, sink); }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; using vpii = vector<pii>; using vi = vector<int>; using vvi = vector<vi>; using ll = long long; using vll = vector<long long>; template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>; template <class T> istream &operator>>(istream &, vector<T> &); template <class T> ostream &operator<<(ostream &, const vector<T> &); template <class T, class U> istream &operator>>(istream &, pair<T, U> &); template <class T, class U> ostream &operator<<(ostream &, const pair<T, U> &); template <class T> struct Inf { static constexpr T inf() { return std::numeric_limits<T>::has_infinity() ? std::numeric_limits<T>::infinty() : std::numeric_limits<T>::max(); } }; template <> struct Inf<int> { static constexpr int inf() { return 0x3f3f3f3f; } }; template <> struct Inf<long long> { static constexpr long long inf() { return 0x3f3f3f3f3f3f3f3fLL; } }; constexpr int INF = Inf<int>::inf(); constexpr ll BINF = Inf<ll>::inf(); template <class T> class Dinic { private: struct edge { int from, to; T cap; edge *rev; edge(int u, int v, T c) : from(u), to(v), cap(c), rev(nullptr) {} }; static constexpr T INF = Inf<T>::inf(); static constexpr int DINF = Inf<int>::inf(); int n, s, t; std::vector<std::vector<edge *>> g; public: Dinic(int n, int s, int t) : n(n), s(s), t(t), g(n) {} ~Dinic() { for (auto v : g) for (edge *e : v) delete e; } void addEdge(int u, int v, T c) { edge *in = new edge(u, v, c); edge *out = new edge(v, u, 0); g[u].push_back(in); g[v].push_back(out); in->rev = out; out->rev = in; } T maxFlow() { T mxf = 0; std::vector<int> dist(n, DINF), vis(n); std::function<T(int, T)> dfs = [&](int u, T fo) -> T { if (u == t) return fo; for (; vis[u] < int(g[u].size()); vis[u]++) { edge *e = g[u][vis[u]]; int v = e->to; if (dist[v] != dist[u] + 1 || e->cap <= 0) continue; T foo = dfs(v, std::min(fo, e->cap)); if (foo > 0) { e->cap -= foo; e->rev->cap += foo; return foo; } } return 0; }; for (;;) { for (int i = 0; i < n; i++) dist[i] = DINF, vis[i] = 0; std::queue<int> q; q.push(s); dist[s] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == t) break; for (edge *e : g[u]) { int v = e->to; if (e->cap > 0 && dist[v] == DINF) { dist[v] = dist[u] + 1; q.push(v); } } } if (dist[t] == DINF) break; while (T fo = dfs(s, INF)) mxf += fo; } return mxf; } }; template <class T> constexpr T Dinic<T>::INF; template <class T> constexpr int Dinic<T>::DINF; int solve() { int n, m; cin >> n >> m; vvi dp(n, vi(n, INF)); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--, v--; dp[u][v] = dp[v][u] = 1; } for (int i = 0; i < n; i++) dp[i][i] = 0; for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]); int s, b, k; cin >> s >> b >> k; vi xs(s), as(s), fs(s), ps(s), xb(b), db(b), gb(b); for (int i = 0; i < s; i++) { cin >> xs[i] >> as[i] >> fs[i] >> ps[i]; xs[i]--; } for (int i = 0; i < b; i++) { cin >> xb[i] >> db[i] >> gb[i]; xb[i]--; } vll canGet(s, -BINF); vector<vpii> bsList(n); for (int i = 0; i < b; i++) bsList[xb[i]].emplace_back(db[i], gb[i]); for (int i = 0; i < n; i++) { sort(bsList[i].begin(), bsList[i].end()); int z = bsList[i].size(); for (int j = 1; j < z; j++) bsList[i][j].second = max(bsList[i][j].second, bsList[i][j - 1].second); } for (int i = 0; i < s; i++) for (int j = 0; j < n; j++) { if (dp[xs[i]][j] > fs[i]) continue; auto it = upper_bound(bsList[j].begin(), bsList[j].end(), pii{as[i], INF}); if (it == bsList[j].begin()) continue; it--; canGet[i] = max(canGet[i], ll(it->second)); } for (int i = 0; i < s; i++) canGet[i] -= ps[i]; ll ans = 0; Dinic<ll> g(s + 2, s, s + 1); for (int i = 0; i < s; i++) { if (canGet[i] >= 0) { ans += canGet[i]; g.addEdge(s, i, canGet[i]); } else { g.addEdge(i, s + 1, -canGet[i]); } } for (int i = 0; i < k; i++) { int u, v; cin >> u >> v; u--, v--; g.addEdge(u, v, BINF); } ans -= g.maxFlow(); cout << ans << endl; return 0; } int main() { ios::sync_with_stdio(0); solve(); return 0; } template <class T> istream &operator>>(istream &is, vector<T> &v) { for (auto it = v.begin(); it != v.end(); ++it) is >> *it; return is; } template <class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto it = v.begin(); it != v.end();) os << *it, os << " \n"[++it == v.end()]; return os; } template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; } template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; using Graph = vector<vector<int>>; using ll = long long; const ll INF = 1e18; class Dinic { private: constexpr static ll INF = 8 * (ll)1e18; struct Edge { const int s, t; const ll c; ll f; Edge(int src, int tar, ll cap = INF, bool dir = 1) : s(src), t(tar), c(dir ? cap : 2 * cap), f(dir ? 0 : cap) {} int getOth(int i) { return i == s ? t : s; } ll getCap(int i) { return i == s ? c - f : f; } void push(int i, ll am) { f += (i == s ? am : -am); } }; const int source, sink, n; vector<Edge> edges; vector<vector<int>> conns; vector<int> dist; vector<bool> done; bool calcDists() { for (int i = 0; i < n; ++i) dist[i] = n; dist[sink] = 0; vector<int> que = {sink}; for (int j = 0; j < que.size(); ++j) { int i = que[j]; for (auto ei : conns[i]) { int t = edges[ei].getOth(i); if (edges[ei].getCap(t) == 0) continue; if (dist[t] == n) { dist[t] = dist[i] + 1; que.push_back(t); } } } return dist[source] < n; } ll dfsFlow(int i, ll cap = INF) { if (i == sink) return cap; ll res = 0; for (auto ei : conns[i]) { int t = edges[ei].getOth(i); if (done[t] || dist[t] != dist[i] - 1) continue; ll subcap = min(cap - res, edges[ei].getCap(i)); if (subcap == 0) { if (cap == res) return res; } else { ll add = dfsFlow(t, subcap); res += add; edges[ei].push(i, add); } } if (res < cap) done[i] = true; return res; } public: Dinic(int nn, int s, int t) : n(nn), conns(nn), dist(nn), done(nn), source(s), sink(t) {} const Edge& getEdge(int j) const { return edges[j]; } void addEdge(int a, int b, ll c = INF, bool dir = 1) { edges.emplace_back(a, b, c, dir); conns[a].push_back(edges.size() - 1); conns[b].push_back(edges.size() - 1); } ll pushFlow() { ll res = 0; while (calcDists()) { for (int i = 0; i < n; ++i) done[i] = false; res += dfsFlow(source); } return res; } }; ll solve(const Graph& g, const vector<ll>& vals) { int n = g.size(); int source = n; int sink = n + 1; Dinic dinic(n + 2, source, sink); ll res = 0; for (int i = 0; i < n; ++i) { if (vals[i] < 0) { dinic.addEdge(i, sink, -vals[i]); } else { dinic.addEdge(source, i, vals[i]); res += vals[i]; } for (auto t : g[i]) { dinic.addEdge(i, t); } } res -= dinic.pushFlow(); return res; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; vector<vector<ll>> dist(n); for (int i = 0; i < n; ++i) { dist[i].resize(n, INF); dist[i][i] = 0; } for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a; --b; dist[a][b] = 1; dist[b][a] = 1; } for (int i = 0; i < n; ++i) { for (int a = 0; a < n; ++a) { for (int b = 0; b < n; ++b) { dist[a][b] = min(dist[a][b], dist[a][i] + dist[i][b]); } } } int s, b, k; cin >> s >> b >> k; vector<tuple<int, int, int, int>> ships(s); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; cin >> loc >> atk >> fuel >> cost; --loc; ships[i] = tie(loc, atk, fuel, cost); } vector<tuple<int, int, int>> bases(b); for (int i = 0; i < b; ++i) { int tar, def, gold; cin >> tar >> def >> gold; --tar; bases[i] = tie(tar, def, gold); } sort(bases.begin(), bases.end()); vector<vector<pair<int, int>>> offs(n); for (int i = 0; i < b; ++i) { int tar, def, gold; tie(tar, def, gold) = bases[i]; if (offs[tar].empty() || offs[tar].back().second < gold) { offs[tar].push_back({def, gold}); } } vector<ll> vals(s, -INF); for (int i = 0; i < s; ++i) { int loc, atk, fuel, cost; tie(loc, atk, fuel, cost) = ships[i]; for (int t = 0; t < n; ++t) { if (dist[loc][t] > fuel) continue; int low = -1; int high = (int)offs[t].size() - 1; while (low != high) { int mid = (low + high + 1) >> 1; if (atk >= offs[t][mid].first) low = mid; else high = mid - 1; } if (low >= 0) vals[i] = max(vals[i], (ll)offs[t][low].second); } vals[i] -= cost; } Graph g(s); for (int j = 0; j < k; ++j) { int x, y; cin >> x >> y; --x; --y; g[x].push_back(y); } ll res = solve(g, vals); cout << res << '\n'; }
#include <bits/stdc++.h> using namespace std; int n, m, d[107][107], s, b, k; struct spaceship { int x, a, f, p; } sp[100007]; struct base { int x, d, g; } ba[100007]; vector<int> v[107]; bool cmp(int x, int y) { return ba[x].d < ba[y].d; } vector<pair<int, int> > u[107]; long long val[100007]; int e, head[100007], nxt[1000007], to[1000007], op[1000007]; long long cap[1000007]; void add_edge(int x, int y, long long c) { nxt[++e] = head[x], to[head[x] = e] = y; cap[e] = c, op[e] = e + 1; nxt[++e] = head[y], to[head[y] = e] = x; cap[e] = 0, op[e] = e - 1; } int S, T, nodes, dis[100007], cnt[100007]; long long sap(int x, long long delta) { if (x == T) return delta; long long sum = 0; int mindis = nodes; for (int i = head[x]; i; i = nxt[i]) { if (cap[i] && dis[x] == dis[to[i]] + 1) { long long save = sap(to[i], min(cap[i], delta - sum)); sum += save, cap[i] -= save, cap[op[i]] += save; if (dis[S] >= nodes || sum == delta) return sum; } if (cap[i]) mindis = min(mindis, dis[to[i]]); } if (!sum) if (!--cnt[dis[x]]) dis[S] = nodes; else ++cnt[dis[x] = mindis + 1]; return sum; } long long max_flow() { long long res = 0; while (dis[S] < nodes) res += sap(S, 100000000000007LL); return res; } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) if (i != j) d[i][j] = 107; for (int i = 1, x, y; i <= m; ++i) { scanf("%d%d", &x, &y); if (x == y) continue; d[x][y] = d[y][x] = 1; } for (int t = 1; t <= n; ++t) for (int i = 1; i <= n; ++i) if (i != t) for (int j = 1; j <= n; ++j) if (j != t && j != i) d[i][j] = min(d[i][j], d[i][t] + d[t][j]); scanf("%d%d%d", &s, &b, &k); for (int i = 1; i <= s; ++i) scanf("%d%d%d%d", &sp[i].x, &sp[i].a, &sp[i].f, &sp[i].p); for (int i = 1; i <= b; ++i) { scanf("%d%d%d", &ba[i].x, &ba[i].d, &ba[i].g); v[ba[i].x].push_back(i); } for (int i = 1; i <= n; ++i) { sort(v[i].begin(), v[i].end(), cmp); int mx = 0; for (int j : v[i]) { mx = max(mx, ba[j].g); u[i].push_back(make_pair(ba[j].d, mx)); } } for (int i = 1; i <= s; ++i) { val[i] = -100000000000007LL; for (int j = 1; j <= n; ++j) if (d[sp[i].x][j] < 107 && d[sp[i].x][j] <= sp[i].f) { int t = -1, l = 0, r = u[j].size() - 1; while (l <= r) { int mid = (l + r) >> 1; if (u[j][mid].first <= sp[i].a) t = mid, l = mid + 1; else r = mid - 1; } if (t != -1) val[i] = max(val[i], 1LL * u[j][t].second - sp[i].p); } } S = 0, T = s + 1, nodes = s + 2; long long ans = 0; for (int i = 1; i <= s; ++i) if (val[i] > 0) ans += val[i], add_edge(S, i, val[i]); else if (val[i] < 0) add_edge(i, T, -val[i]); for (int i = 1, x, y; i <= k; ++i) scanf("%d%d", &x, &y), add_edge(x, y, 100000000000007LL); ans -= max_flow(); cout << ans << endl; }
#include <bits/stdc++.h> using namespace std; #pragma comment(linker, "/stack:200000000") #pragma GCC optimize("Ofast") #pragma GCC optimize(3) #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") #pragma GCC target("sse3", "sse2", "sse") #pragma GCC target("avx", "sse4", "sse4.1", "sse4.2", "ssse3") #pragma GCC target("f16c") #pragma GCC optimize("inline", "fast-math", "unroll-loops", \ "no-stack-protector") #pragma GCC push_options #pragma GCC pop_options #pragma GCC reset_options #pragma GCC optimize("O3") const double eps = 1e-9; const int INFMEM = 63; const int INF = 1061109567; const long long LINF = 100000000000000LL; const double DINF = numeric_limits<double>::infinity(); const long long MOD = 1000000007; const int dx[8] = {1, 0, -1, 0, 1, 1, -1, -1}; const int dy[8] = {0, 1, 0, -1, 1, -1, 1, -1}; const double PI = 3.141592653589793; inline void fastll(long long &input_number) { input_number = 0; int ch = getchar_unlocked(); int sign = 1; while (ch < '0' || ch > '9') { if (ch == '-') sign = -1; ch = getchar_unlocked(); } while (ch >= '0' && ch <= '9') { input_number = (input_number << 3) + (input_number << 1) + ch - '0'; ch = getchar_unlocked(); } input_number *= sign; } inline void open(string a) { freopen((a + ".in").c_str(), "r", stdin); freopen((a + ".out").c_str(), "w", stdout); } inline void fasterios() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); } struct ShipDT { long long pos, att, fuel, price, profit; }; struct BaseDT { long long pos, def, price; }; struct dtE { long long power_, idx; bool type; bool operator<(const dtE &other) const { if (power_ != other.power_) return power_ < other.power_; return type > other.type; } }; long long n, m; long long dist[105][105]; long long CurMaxgold[105]; vector<dtE> events; long long ShipN, BaseN, DepM; ShipDT ship[100005]; BaseDT base[100005]; struct dt { long long to, cap, backidx; }; struct dta { long long pos, step; }; long long ans; long long s, e; long long st[200005]; long long level[200005]; queue<dta> antri; vector<dt> edge[200005]; void make_edge(long long u, long long v, long long capto, long long backcap) { long long szu = edge[u].size(); long long szv = edge[v].size(); edge[u].push_back({v, capto, szv}); edge[v].push_back({u, backcap, szu}); return; } void bfs(dta now) { for (int i = 0; i < edge[now.pos].size(); i++) { long long nx = edge[now.pos][i].to; if (level[nx]) continue; if (edge[now.pos][i].cap == 0) continue; level[nx] = now.step + 1; antri.push({nx, now.step + 1}); } return; } long long maxflow(long long pos, long long bcap) { if (pos == e) return bcap; for (; st[pos] < edge[pos].size(); st[pos]++) { long long i = st[pos]; long long nx = edge[pos][i].to; if (level[nx] != level[pos] + 1) continue; if (edge[pos][i].cap == 0) continue; long long curflow = maxflow(nx, min(bcap, edge[pos][i].cap)); if (curflow == 0) continue; edge[pos][i].cap -= curflow; edge[nx][edge[pos][i].backidx].cap += curflow; return curflow; } return 0; } int main() { cin >> n >> m; memset(dist, INFMEM, sizeof(dist)); for (int i = 1; i <= m; i++) { long long u, v; cin >> u >> v; dist[u][v] = 1; } for (int i = 1; i <= n; i++) dist[i][i] = 0; for (int k = 1; k <= n; k++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } cin >> ShipN >> BaseN >> DepM; for (int i = 1; i <= ShipN; i++) { cin >> ship[i].pos >> ship[i].att >> ship[i].fuel >> ship[i].price; events.push_back({ship[i].att, i, 0}); } for (int i = 1; i <= BaseN; i++) { cin >> base[i].pos >> base[i].def >> base[i].price; events.push_back({base[i].def, i, 1}); } sort(events.begin(), events.end()); for (int i = 1; i <= n; i++) CurMaxgold[i] = -LINF; for (int i = 0; i < events.size(); i++) { long long curidx = events[i].idx; if (events[i].type == 1) { CurMaxgold[base[curidx].pos] = max(CurMaxgold[base[curidx].pos], base[curidx].price); } else { long long u = ship[curidx].pos; ship[curidx].profit = -LINF; for (int j = 1; j <= n; j++) { if (dist[u][j] <= ship[curidx].fuel) { ship[curidx].profit = max(ship[curidx].profit, CurMaxgold[j] - ship[curidx].price); } } } } long long ans = 0; s = 0; e = ShipN + 1; for (int i = 1; i <= ShipN; i++) { if (ship[i].profit < 0) { make_edge(i, e, abs(ship[i].profit), 0); } else { ans += ship[i].profit; make_edge(s, i, ship[i].profit, 0); } } for (int i = 1; i <= DepM; i++) { long long u, v; cin >> u >> v; make_edge(u, v, LINF, 0); } while (1) { memset(level, 0, sizeof(level)); memset(st, 0, sizeof(st)); level[s] = 1; antri.push({s, 1}); while (!antri.empty()) { dta tmp = antri.front(); antri.pop(); bfs(tmp); } if (level[e] == 0) break; long long curflow; while (curflow = maxflow(s, LINF)) ans -= curflow; } printf("%lld\n", ans); return 0; return 0; }
#include <bits/stdc++.h> using namespace std; long long d[110][110], INF = 1e18; long long v[100010]; vector<pair<long long, long long>> base[110]; vector<long long> bst[110]; struct Dinic { int nodes, src, dst; vector<int> dist, q, work; struct edge { int to, rev; long long f, cap; }; vector<vector<edge>> g; Dinic(int x) : nodes(x), g(x), dist(x), q(x), work(x) {} void add_edge(int s, int t, long long cap) { g[s].push_back((edge){t, int(g[t].size()), 0, cap}); g[t].push_back((edge){s, int(g[s].size()) - 1, 0, 0}); } bool dinic_bfs() { fill(dist.begin(), dist.end(), -1); dist[src] = 0; int qt = 0; q[qt++] = src; for (int qh = 0; qh < qt; qh++) { int u = q[qh]; for (int i = 0, ThxDem = int(g[u].size()); i < ThxDem; ++i) { edge &e = g[u][i]; int v = g[u][i].to; if (dist[v] < 0 && e.f < e.cap) dist[v] = dist[u] + 1, q[qt++] = v; } } return dist[dst] >= 0; } long long dinic_dfs(int u, long long f) { if (u == dst) return f; for (int &i = work[u]; i < int(g[u].size()); i++) { edge &e = g[u][i]; if (e.cap <= e.f) continue; int v = e.to; if (dist[v] == dist[u] + 1) { long long df = dinic_dfs(v, min(f, e.cap - e.f)); if (df > 0) { e.f += df; g[v][e.rev].f -= df; return df; } } } return 0; } long long max_flow(int _src, int _dst) { src = _src; dst = _dst; long long result = 0; while (dinic_bfs()) { fill(work.begin(), work.end(), 0); while (long long delta = dinic_dfs(src, INF)) result += delta; } return result; } }; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0, ThxDem = n; i < ThxDem; ++i) for (int j = 0, ThxDem = n; j < ThxDem; ++j) d[i][j] = INF * (i != j); for (int i = 0, ThxDem = m; i < ThxDem; ++i) { int x, y; cin >> x >> y; d[x - 1][y - 1] = d[y - 1][x - 1] = 1; } for (int k = 0, ThxDem = n; k < ThxDem; ++k) for (int i = 0, ThxDem = n; i < ThxDem; ++i) for (int j = 0, ThxDem = n; j < ThxDem; ++j) { if (d[i][k] != INF && d[k][j] != INF) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); } long long ans = 0, s, b, k; cin >> s >> b >> k; for (int i = 0, ThxDem = s; i < ThxDem; ++i) v[i] = -INF; vector<pair<pair<long long, long long>, pair<long long, long long>>> a(s); for (int i = 0, ThxDem = s; i < ThxDem; ++i) cin >> a[i].first.first >> a[i].first.second >> a[i].second.first >> a[i].second.second, a[i].first.first--; for (int i = 0, ThxDem = b; i < ThxDem; ++i) { long long x, di, g; cin >> x >> di >> g; x--; base[x].push_back({di, g}); } for (int i = 0, ThxDem = n; i < ThxDem; ++i) { sort(base[i].begin(), base[i].end()); bst[i].resize(int(base[i].size())); for (int j = 0, ThxDem = int(base[i].size()); j < ThxDem; ++j) { bst[i][j] = base[i][j].second; if (j) bst[i][j] = max(bst[i][j], bst[i][j - 1]); } } Dinic nt(s + 2); for (int i = 0, ThxDem = int(a.size()); i < ThxDem; ++i) { for (int j = 0, ThxDem = n; j < ThxDem; ++j) { int top = upper_bound(base[j].begin(), base[j].end(), (pair<long long, long long>){a[i].first.second, INF}) - base[j].begin() - 1; if (d[a[i].first.first][j] <= a[i].second.first && top >= 0) { v[i] = max(v[i], bst[j][top] - a[i].second.second); } } if (v[i] < 0) nt.add_edge(i + 1, s + 1, -v[i]); else ans += v[i], nt.add_edge(0, i + 1, v[i]); } for (int i = 0, ThxDem = k; i < ThxDem; ++i) { int x, y; cin >> x >> y; nt.add_edge(x, y, INF); } cout << ans - nt.max_flow(0, s + 1) << "\n"; }
#include <bits/stdc++.h> using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const long long INF = (long long)1e18 + 33; const int V = 101; const int N = 100010; int G[V][V]; int n; int m, k; int a[N][4]; long long c[N]; vector<pair<int, int> > b[N]; struct Edge { int v, to; long long cap; Edge() : v(), to(), cap() {} Edge(int _v, int _to, long long _cap) : v(_v), to(_to), cap(_cap) {} }; Edge ed[N]; int edSz; vector<int> g[N]; int dist[N]; int q[N]; int topQ; int idx[N]; int idd[N]; int S, T; void addEdge(int v, int to, long long cap) { ed[edSz] = Edge(v, to, cap); g[v].push_back(edSz++); ed[edSz] = Edge(to, v, 0); g[to].push_back(edSz++); } bool BFS() { for (int i = 0; i <= T; i++) dist[i] = N; topQ = 0; dist[S] = 0; q[topQ++] = S; for (int i = 0; i < topQ; i++) { int v = q[i]; for (int id : g[v]) { Edge e = ed[id]; if (e.cap <= 0) continue; int to = e.to; if (dist[to] <= dist[v] + 1) continue; dist[to] = dist[v] + 1; q[topQ++] = to; } } return dist[T] < N; } long long dfs(int v, long long flow) { if (v == T || flow == 0) return flow; long long res = 0; for (int &i = idx[v]; i < (int)g[v].size(); i++) { int id = g[v][i]; Edge e = ed[id]; int to = e.to; if (dist[to] != dist[v] + 1) continue; long long df = dfs(to, min(flow, e.cap)); res += df; flow -= df; ed[id].cap -= df; ed[id ^ 1].cap += df; if (flow == 0) return res; } return res; } long long Flow() { long long res = 0; while (BFS()) { for (int i = 0; i <= T; i++) idx[i] = 0; res += dfs(S, INF); } return res; } void readGraph() { int e; scanf("%d%d", &n, &e); for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) G[i][j] = (i == j ? 0 : N); while (e--) { int v, u; scanf("%d%d", &v, &u); v--; u--; if (v != u) G[v][u] = G[u][v] = 1; } for (int z = 0; z < n; z++) for (int x = 0; x < n; x++) for (int y = 0; y < n; y++) G[x][y] = min(G[x][y], G[x][z] + G[z][y]); } long long read() { readGraph(); scanf("%d%d%d", &n, &k, &m); for (int i = 0; i < n; i++) { scanf("%d%d%d%d", &a[i][0], &a[i][1], &a[i][2], &a[i][3]); a[i][0]--; } for (int i = 0; i < k; i++) { int v, x, y; scanf("%d%d%d", &v, &x, &y); v--; b[v].push_back(make_pair(x, y)); } for (int v = 0; v < V; v++) { sort(b[v].begin(), b[v].end()); for (int i = 1; i < (int)b[v].size(); i++) b[v][i].second = max(b[v][i].second, b[v][i - 1].second); } for (int i = 0; i < n; i++) { c[i] = -INF; for (int v = 0; v < V; v++) { if (b[v].empty()) continue; if (G[a[i][0]][v] > a[i][2]) continue; int p = upper_bound(b[v].begin(), b[v].end(), make_pair(a[i][1] + 1, -1)) - b[v].begin(); if (p > 0) c[i] = max(c[i], (long long)b[v][p - 1].second); } c[i] -= a[i][3]; } S = 0; for (int i = 0; i < n; i++) idd[i] = -1; for (int i = 0; i < m; i++) { int v, u; scanf("%d%d", &v, &u); v--; u--; if (idd[v] == -1) idd[v] = S++; if (idd[u] == -1) idd[u] = S++; v = idd[v]; u = idd[u]; addEdge(v, u, INF); } T = S + 1; long long ans = 0; for (int v = 0; v < n; v++) { if (idd[v] == -1) { ans += max(0LL, c[v]); continue; } if (c[v] <= 0) { addEdge(idd[v], T, -c[v]); } else { ans += c[v]; addEdge(S, idd[v], c[v]); } } return ans; } int main() { long long ans = read(); printf("%lld\n", ans - Flow()); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; struct ship { int id, pos, atk, fuel, price; bool operator<(const ship &o) const { return atk < o.atk; } }; struct base { int pos, def, gold; bool operator<(const base &o) const { return def < o.def; } }; const ll inf_ll = ll(1e13); struct edge { int to; ll cap; }; struct flow { int n, s, t; vector<vector<int>> g; vector<edge> e; flow(int n_) : n(n_), s(n_ - 2), t(n_ - 1), g(n), e() {} void add_edge(int from, int to, ll cap) { g[from].push_back(((int)(e).size())); e.push_back(edge{to, cap}); g[to].push_back(((int)(e).size())); e.push_back(edge{from, 0LL}); } vector<int> dist, ptr; ll add_flow() { dist.assign(n, -1); ptr.assign(n, 0); dist[s] = 0; queue<int> q; q.push(s); while (!q.empty()) { int cur = q.front(); q.pop(); for (int num : g[cur]) { ll cap = e[num].cap; int to = e[num].to; if (cap > 0 && dist[to] == -1) { dist[to] = dist[cur] + 1; q.push(to); } } } return dfs(s, inf_ll); } ll dfs(int v, ll to_push) { if (v == t || to_push == 0) return to_push; ll pushed = 0; for (int &i = ptr[v]; i < ((int)(g[v]).size()); i++) { const int num = g[v][i]; const int to = e[num].to; const ll cap = e[num].cap; if (dist[to] == dist[v] + 1) { ll cur_push = dfs(to, min(to_push, cap)); e[num].cap -= cur_push; e[num ^ 1].cap += cur_push; to_push -= cur_push; pushed += cur_push; } if (to_push == 0) break; } return pushed; } ll max_flow() { ll ans = 0; while (ll add = add_flow()) ans += add; return ans; } }; ll solve_work_instr(const vector<vector<int>> &req, const vector<int> &reward, const vector<int> &cost) { const int right = ((int)(reward).size()), left = ((int)(cost).size()); const ll sum_rew = accumulate(reward.begin(), reward.end(), 0LL); flow flow(2 + left + right); for (int i = 0; i < left; i++) flow.add_edge(flow.s, i, cost[i]); for (int i = 0; i < right; i++) flow.add_edge(left + i, flow.t, reward[i]); for (int i = 0; i < right; i++) { for (int instr : req[i]) flow.add_edge(instr, left + i, inf_ll); } return sum_rew - flow.max_flow(); } void dfs(int x, const vector<vector<int>> &g, vector<char> &used, vector<int> &reach) { reach.push_back(x); used[x] = 1; for (int dest : g[x]) if (!used[dest]) dfs(dest, g, used, reach); } void solve(istream &cin = std::cin, ostream &cout = std::cout) { int n, m; cin >> n >> m; const int inf = int(1e9) + 1; vector<vector<int>> dist(n, vector<int>(n, inf)); for (int i = 0; i < n; i++) dist[i][i] = 0; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; --u, --v; dist[u][v] = dist[v][u] = 1; } for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); int s, b, k; cin >> s >> b >> k; vector<ship> ship(s); vector<base> base(b); int cur_id = 0; for (auto &x : ship) { cin >> x.pos >> x.atk >> x.fuel >> x.price; --x.pos; x.id = cur_id++; } for (auto &x : base) { cin >> x.pos >> x.def >> x.gold; --x.pos; } sort(ship.begin(), ship.end()); sort(base.begin(), base.end()); vector<int> best_atk(s, -inf); vector<int> weak_base(n, -inf); int ptr = 0; for (auto x : ship) { while (ptr < ((int)(base).size()) && base[ptr].def <= x.atk) { const int where = base[ptr].pos; const int gold = base[ptr].gold; weak_base[where] = max(weak_base[where], gold); ptr++; } for (int i = 0; i < n; i++) if (dist[i][x.pos] <= x.fuel) best_atk[x.id] = max(best_atk[x.id], weak_base[i] - x.price); } vector<vector<int>> g(s), grev(s); for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; --x, --y; g[x].push_back(y); grev[y].push_back(x); } vector<int> instr; vector<vector<int>> req; vector<int> reward, cost; ll ans = 0; for (int i = 0; i < s; i++) { if (g[i].empty() && grev[i].empty()) ans += max(0, best_atk[i]); else if (best_atk[i] < 0 && best_atk[i] > -inf) instr.push_back(i); } sort(instr.begin(), instr.end()); for (int i = 0; i < ((int)(instr).size()); i++) cost.push_back(-best_atk[instr[i]]); vector<char> used(s); for (int x : best_atk) cerr << x << ' '; cerr << endl; for (int i = 0; i < s; i++) if (!g[i].empty() || !grev[i].empty()) { if (best_atk[i] >= 0) { vector<int> reach; dfs(i, g, used, reach); for (int x : reach) used[x] = 0; bool bad = false; for (int x : reach) if (best_atk[x] == -inf) bad = true; if (bad) continue; req.push_back(vector<int>()); reward.push_back(best_atk[i]); for (int x : reach) if (best_atk[x] < 0) { int pos = lower_bound(instr.begin(), instr.end(), x) - instr.begin(); assert(pos < ((int)(instr).size()) && instr[pos] == x); req.back().push_back(pos); } } } ans += solve_work_instr(req, reward, cost); cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout << fixed; cout << setprecision(20); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int adj[111][111]; int xp[100010], a[100010], f[100010], p[100010]; int xb[100010], d[100010], g[100010]; const long long inf = 1e17; long long opt[111]; long long profit[100010]; const long long max_profit = 1000000000; struct MaxFlow { struct Node { vector<long long> adj; }; Node graf[100010]; struct Edge { long long u, v, cap; long long flow; }; vector<Edge> E; long long v; long long s, t; long long dist[100010]; long long upTo[100010]; long long idd = 0; inline bool BFS() { for (long long i = 1; i <= v; i++) dist[i] = -1; queue<long long> bfs_queue; bfs_queue.push(s); dist[s] = 0; while (!bfs_queue.empty()) { long long xt = bfs_queue.front(); bfs_queue.pop(); for (long long i = 0; i < graf[xt].adj.size(); i++) { long long currID = graf[xt].adj[i]; long long xt1 = E[currID].v; if (dist[xt1] == -1 && E[currID].flow < E[currID].cap) { bfs_queue.push(xt1); dist[xt1] = dist[xt] + 1; } } } return (dist[t] != -1); } inline long long DFS(long long xt, long long minCap) { if (minCap == 0) return 0; if (xt == t) return minCap; while (upTo[xt] < graf[xt].adj.size()) { long long currID = graf[xt].adj[upTo[xt]]; long long xt1 = E[currID].v; if (dist[xt1] != dist[xt] + 1) { upTo[xt]++; continue; } long long aug = DFS(xt1, min(minCap, E[currID].cap - E[currID].flow)); if (aug > 0) { E[currID].flow += aug; if (currID & 1) currID--; else currID++; E[currID].flow -= aug; return aug; } upTo[xt]++; } return 0; } inline long long Dinic() { long long flow = 0; while (true) { if (!BFS()) break; for (long long i = 1; i <= v; i++) upTo[i] = 0; while (true) { long long currFlow = DFS(s, inf); if (currFlow == 0) break; flow += currFlow; } } return flow; } inline void addEdge(long long u, long long v, long long cap) { Edge E1, E2; E1.u = u, E1.v = v, E1.cap = cap, E1.flow = 0; E2.u = v, E2.v = u, E2.cap = 0, E2.flow = 0; graf[u].adj.push_back(idd++); E.push_back(E1); graf[v].adj.push_back(idd++); E.push_back(E2); } } F; bool bad[100010]; vector<int> forb[100010]; void prop(int x) { bad[x] = true; for (auto i : forb[x]) { if (!bad[i]) { prop(i); } } } int main(int argc, char const *argv[]) { ios_base ::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (i != j) { adj[i][j] = 1000000001; } } opt[i] = -inf; } for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; adj[u][v] = adj[v][u] = 1; } for (int k = 1; k <= n; k++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { adj[i][j] = min(adj[i][j], adj[i][k] + adj[k][j]); } } } int s, b, k; cin >> s >> b >> k; vector<pair<int, int>> v; for (int i = 1; i <= s; i++) { cin >> xp[i] >> a[i] >> f[i] >> p[i]; v.emplace_back(a[i], i); } for (int i = 1; i <= b; i++) { cin >> xb[i] >> d[i] >> g[i]; v.emplace_back(d[i], -i); } sort(v.begin(), v.end()); for (auto i : v) { int id = abs(i.second); if (i.second > 0) { int x = xp[id]; profit[id] = -inf; for (int j = 1; j <= n; j++) { if (adj[x][j] <= f[id]) { profit[id] = max(profit[id], opt[j] - p[id]); } } } else { int x = xb[id]; opt[x] = max(opt[x], (long long)g[id]); } } for (int i = 1; i <= k; i++) { int u, v; cin >> u >> v; forb[v].push_back(u); } for (int i = 1; i <= s; i++) { if (!bad[i] && profit[i] < -max_profit) { prop(i); } } F.s = s + 1; F.t = s + 2; F.v = s + 2; for (int i = 1; i <= s; i++) { if (bad[i]) continue; for (auto j : forb[i]) { if (!bad[j]) { F.addEdge(j, i, inf); } } } long long sum = 0; for (int i = 1; i <= s; i++) { if (!bad[i]) { if (profit[i] > 0) { F.addEdge(F.s, i, profit[i]); sum += profit[i]; } else { F.addEdge(i, F.t, -profit[i]); } } } cout << sum - F.Dinic() << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int mod = 1e9 + 7; const int maxm = 100 + 10; const int maxn = 3e5 + 10; const int N = 1e5 + 10; const int inf = 0x3f3f3f3f; const long long inf1 = 0x3f3f3f3f3f3f3f3f; namespace io { const int SIZE = (1 << 21) + 1; char ibuf[SIZE], *iS, *iT, obuf[SIZE], *oS = obuf, *oT = oS + SIZE - 1, c, qu[55]; int f, qr; inline void flush() { fwrite(obuf, 1, oS - obuf, stdout); oS = obuf; } inline void putc(char x) { *oS++ = x; if (oS == oT) flush(); } template <typename A> inline bool read(A &x) { for (f = 1, c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++); c < '0' || c > '9'; c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) if (c == '-') f = -1; else if (c == EOF) return 0; for (x = 0; c <= '9' && c >= '0'; c = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) x = x * 10 + (c & 15); x *= f; return 1; } inline bool read(char &x) { while ((x = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) == ' ' || x == '\n' || x == '\r') ; return x != EOF; } inline bool read(char *x) { while ((*x = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++)) == '\n' || *x == ' ' || *x == '\r') ; if (*x == EOF) return 0; while (!(*x == '\n' || *x == ' ' || *x == '\r' || *x == EOF)) *(++x) = (iS == iT ? (iT = (iS = ibuf) + fread(ibuf, 1, SIZE, stdin), (iS == iT ? EOF : *iS++)) : *iS++); *x = 0; return 1; } template <typename A, typename... B> inline bool read(A &x, B &...y) { return read(x) && read(y...); } template <typename A> inline bool write(A x) { if (!x) putc('0'); if (x < 0) putc('-'), x = -x; while (x) qu[++qr] = x % 10 + '0', x /= 10; while (qr) putc(qu[qr--]); return 0; } inline bool write(char x) { putc(x); return 0; } inline bool write(const char *x) { while (*x) { putc(*x); ++x; } return 0; } inline bool write(char *x) { while (*x) { putc(*x); ++x; } return 0; } template <typename A, typename... B> inline bool write(A x, B... y) { return write(x) || write(y...); } struct Flusher_ { ~Flusher_() { flush(); } } io_flusher_; } // namespace io using io ::putc; using io ::read; using io ::write; int dis[maxm][maxm]; map<int, int> mp; struct base { int def, gold, mmax; friend bool operator<(base a, base b) { return a.def < b.def; } }; struct ship { int x, att, fuel, pri; } a[N]; vector<base> v[maxm]; long long val[N]; int s, t; int now[N], dep[N], head[N]; struct edge { int v; long long w; int nxt; } e[maxn]; int ecnt; void addedge(int u, int v, long long w) { e[ecnt] = {v, w, head[u]}; head[u] = ecnt++; e[ecnt] = {u, 0, head[v]}; head[v] = ecnt++; } int bfs() { queue<int> q; while (!q.empty()) q.pop(); for (int i = s; i <= t; i++) { dep[i] = -1; now[i] = -1; } dep[s] = 0; q.push(s); now[s] = head[s]; while (!q.empty()) { int u = q.front(); q.pop(); for (int i = head[u]; i != -1; i = e[i].nxt) { int v = e[i].v; if (e[i].w > 0 && dep[v] == -1) { dep[v] = dep[u] + 1; now[v] = head[v]; q.push(v); } } } return dep[t] != -1; } long long dfs(int u, long long mi) { if (mi == 0 || u == t) return mi; long long tmp, sum = 0; for (int i = now[u]; i != -1 && mi; i = e[i].nxt) { now[u] = i; int v = e[i].v; if (e[i].w > 0 && dep[v] == dep[u] + 1) { tmp = dfs(v, min(mi, e[i].w)); e[i].w -= tmp; e[i ^ 1].w += tmp; sum += tmp; mi -= tmp; if (!mi) break; } } return sum; } long long dinic() { long long ans = 0; while (bfs()) { ans += dfs(s, inf1); } return ans; } int main() { memset(head, -1, sizeof(head)); memset(dis, 0x3f, sizeof(dis)); int n, m; read(n, m); for (int i = 1; i <= n; i++) dis[i][i] = 0; for (int i = 1; i <= m; i++) { int u, v; read(u, v); dis[u][v] = dis[v][u] = 1; } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dis[i][j] = min(dis[i][k] + dis[k][j], dis[i][j]); int snum, bnum, k; read(snum, bnum, k); for (int i = 1; i <= snum; i++) { int x, att, fu, pri; read(x, att, fu, pri); a[i] = {x, att, fu, pri}; } for (int i = 1; i <= bnum; i++) { int x, def, gol; read(x, def, gol); v[x].push_back({def, gol, gol}); } for (int i = 1; i <= n; i++) { sort(v[i].begin(), v[i].end()); for (int j = 1; j < v[i].size(); j++) v[i][j].mmax = max(v[i][j].gold, v[i][j - 1].mmax); } for (int i = 1; i <= snum; i++) val[i] = -inf1; for (int i = 1; i <= snum; i++) { for (int j = 1; j <= n; j++) { if (a[i].fuel >= dis[a[i].x][j]) { int l = 0, r = v[j].size() - 1, pos = -1; while (l <= r) { int mid = l + r >> 1; if (v[j][mid].def <= a[i].att) { l = mid + 1, pos = mid; } else r = mid - 1; } if (pos < 0) continue; val[i] = max(val[i], 0ll + v[j][pos].mmax - a[i].pri); } } } s = 0, t = snum + 1; for (int i = 1; i <= k; i++) { int u, v; read(u, v); addedge(u, v, inf1); } long long tot = 0; for (int i = 1; i <= snum; i++) { if (val[i] >= 0) { tot += val[i]; addedge(s, i, val[i]); } if (val[i] < 0) addedge(i, t, -val[i]); } tot -= dinic(); printf("%lld\n", tot); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 3000 + 5, MAXM = 10000 + 10; const long long int INF = 1e15; bool visit[MAXN]; int head[MAXN], dist[MAXN], stamp, tmphead[MAXN]; struct EDGE { int to; long long int r; int next; } edge[MAXM * 2]; void init() { stamp = 0; memset(head, -1, sizeof head); } void addedge(int a, int b, long long int c) { edge[stamp] = {b, c, head[a]}; head[a] = stamp++; edge[stamp] = {a, 0, head[b]}; head[b] = stamp++; } int BFS(int s, int t) { for (int i = 0; i <= t; i++) dist[i] = 1e9; memset(visit, 0, sizeof visit); queue<int> q; q.push(s); dist[s] = 0; visit[s] = true; while (!q.empty()) { int now = q.front(); q.pop(); for (int i = head[now]; i != -1; i = edge[i].next) { int nextnode = edge[i].to; if (edge[i].r > 0 && !visit[nextnode]) { dist[nextnode] = dist[now] + 1; visit[nextnode] = true; q.push(nextnode); if (nextnode == t) return dist[t]; } } } return -1; } long long int DFS(int now, long long int df, int t) { if (now == t) return df; visit[now] = true; for (int i = tmphead[now]; i != -1; tmphead[now] = i = edge[i].next) { int nextnode = edge[i].to; if (edge[i].r > 0 && dist[now] + 1 == dist[nextnode] && !visit[nextnode]) { long long int f = DFS(nextnode, min(df, edge[i].r), t); if (f) { edge[i].r -= f; edge[i ^ 1].r += f; return f; } } } return 0; } long long int Dinic(int s, int t) { long long int flow = 0; while (BFS(s, t) != -1) { memcpy(tmphead, head, sizeof head); while (true) { memset(visit, 0, sizeof visit); long long int f = DFS(s, INF, t); if (!f) break; flow += f; } } return flow; } int dp[101][101]; struct SP { int x, a, f, p, pro, idx; bool operator<(const SP& rhs) const { return a < rhs.a; } } sp[100001]; struct BA { int x, d, g; bool operator<(const BA& rhs) const { return d < rhs.d; } } ba[100001]; int cur[101]; int s1[1001], s2[1001]; map<int, int> mp; set<int> st; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; init(); for (int i = 1; i <= 100; i++) cur[i] = -1e9 - 1; for (int i = 1; i <= 100; i++) for (int j = 1; j <= 100; j++) dp[i][j] = 1e9 + 1; for (int i = 1, u, v; i <= m; i++) { cin >> u >> v; dp[u][v] = dp[v][u] = 1; } for (int i = 1; i <= 100; i++) dp[i][i] = 0; for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]); int s, b, k; cin >> s >> b >> k; for (int i = 1; i <= s; i++) { cin >> sp[i].x >> sp[i].a >> sp[i].f >> sp[i].p; sp[i].pro = -1e9 - 1; sp[i].idx = i; } sort(sp + 1, sp + s + 1); for (int i = 1; i <= b; i++) { cin >> ba[i].x >> ba[i].d >> ba[i].g; } sort(ba + 1, ba + b + 1); int pb = 1; for (int i = 1; i <= s; i++) { while (pb <= b && ba[pb].d <= sp[i].a) cur[ba[pb].x] = max(cur[ba[pb].x], ba[pb].g), pb++; for (int j = 1; j <= n; j++) if (dp[j][sp[i].x] <= sp[i].f) sp[i].pro = max(sp[i].pro, cur[j]); } for (int i = 1; i <= k; i++) { cin >> s1[i] >> s2[i]; st.insert(s1[i]); st.insert(s2[i]); } int stp = 0; for (int it : st) mp[it] = ++stp; long long int ans = 0; for (int i = 1; i <= s; i++) { sp[i].pro -= sp[i].p; if (sp[i].pro >= 0) ans += sp[i].pro; if (mp.find(sp[i].idx) != mp.end()) { if (sp[i].pro > 0) addedge(stp + 1, mp[sp[i].idx], sp[i].pro); else if (sp[i].pro < 0) addedge(mp[sp[i].idx], stp + 2, (sp[i].pro < -1e9 ? INF : -sp[i].pro)); } } for (int i = 1; i <= k; i++) addedge(mp[s1[i]], mp[s2[i]], INF); cout << ans - Dinic(stp + 1, stp + 2) << endl; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count()); const ld pi = acos(0) * 2; template <typename T> inline void read(T &x) { char c; bool nega = 0; while ((!isdigit(c = getchar())) && (c != '-')) ; if (c == '-') { nega = 1; c = getchar(); } x = c - 48; while (isdigit(c = getchar())) x = x * 10 + c - 48; if (nega) x = -x; } template <typename T> inline void writep(T x) { if (x > 9) writep(x / 10); putchar(x % 10 + 48); } template <typename T> inline void write(T x) { if (x < 0) { putchar('-'); x = -x; } writep(x); } template <typename T> inline void writeln(T x) { write(x); putchar('\n'); } template <typename CT, typename T> inline void reset_container(CT &c, int sz, T v) { c.resize(sz); for (auto &x : c) x = v; } int n, m; int c[101][101]; int s, b, k; vector<int> ship_at[101]; vector<int> base_at[101]; class ship { public: int x, a, f, p; void input(int id) { read(x); read(a); read(f); read(p); ship_at[x].push_back(id); } } S[100001]; class base { public: int x, d, g; void input(int id) { read(x); read(d); read(g); base_at[x].push_back(id); } } B[100001]; int r[100001]; vector<int> g[100001]; vector<int> cc[100001]; int root(int u) { if (r[u] < 0) return u; return r[u] = root(r[u]); } void unite(int u, int v) { u = root(u); v = root(v); if (u == v) return; if (r[u] > r[v]) swap(u, v); r[u] += r[v]; r[v] = u; } ll p[100001]; class maxflow { public: class edge { public: using pointer = edge *; int v; ll c; pointer rev; edge(int v, ll c) { this->v = v; this->c = c; } }; vector<edge::pointer> g[100002]; void reset() { g[0].clear(); g[100001].clear(); flow = 0; } void add_edge(int u, int v, ll c) { g[u].push_back(new edge(v, c)); g[v].push_back(new edge(u, 0)); g[u].back()->rev = g[v].back(); g[v].back()->rev = g[u].back(); } edge::pointer trace[100002]; int done[100002]; int t; bool bfs() { t++; queue<int> q; q.push(0); done[0] = t; while (!q.empty()) { int u = q.front(); q.pop(); for (auto e : g[u]) if (e->c) if (done[e->v] != t) { done[e->v] = t; q.push(e->v); trace[e->v] = e; if (e->v == 100001) return 1; } } return 0; } ll flow; void increase_flow() { int u = 100001; ll f = 1e18; while (u) { f = min(f, trace[u]->c); u = trace[u]->rev->v; } flow += f; u = 100001; while (u) { trace[u]->c -= f; trace[u]->rev->c += f; u = trace[u]->rev->v; } } ll get_flow() { while (bfs()) increase_flow(); return flow; } } MF; ll get_profit(int i) { MF.reset(); ll prof = 0; for (int u : cc[i]) { if (p[u] >= 0) { prof += p[u]; MF.add_edge(0, u, p[u]); } else { MF.add_edge(u, 100001, -p[u]); } for (int v : g[u]) MF.add_edge(u, v, 1e15); } ll flow = MF.get_flow(); prof -= flow; return max(0LL, prof); } int main() { read(n); read(m); for (int i = (1); i <= (n); i++) for (int j = (1); j <= (n); j++) if (i != j) c[i][j] = (1e9) + 420; for (int i = (1); i <= (m); i++) { int u, v; read(u); read(v); if (u != v) c[u][v] = c[v][u] = 1; } for (int k = (1); k <= (n); k++) for (int i = (1); i <= (n); i++) for (int j = (1); j <= (n); j++) c[i][j] = min(c[i][j], c[i][k] + c[k][j]); read(s); read(b); read(k); for (int i = (1); i <= (s); i++) S[i].input(i); for (int i = (1); i <= (b); i++) B[i].input(i); for (int i = (1); i <= (s); i++) r[i] = -1; for (int i = (1); i <= (k); i++) { int u, v; read(u); read(v); g[u].push_back(v); unite(u, v); } for (int i = (1); i <= (n); i++) { sort(base_at[i].begin(), base_at[i].end(), [](int X, int Y) { return B[X].d < B[Y].d; }); for (int j = (1); j < (base_at[i].size()); j++) B[base_at[i][j]].g = max(B[base_at[i][j]].g, B[base_at[i][j - 1]].g); } for (int i = (1); i <= (s); i++) { ll prof = -1e15; for (int v = (1); v <= (n); v++) if (c[v][S[i].x] <= S[i].f) { int low = 0, high = ((int)base_at[v].size()) - 1, mid, res = -1; while (low <= high) { mid = (low + high) / 2; if (B[base_at[v][mid]].d <= S[i].a) { res = mid; low = mid + 1; } else high = mid - 1; } if (res != -1) prof = max(prof, (ll)(B[base_at[v][res]].g - S[i].p)); } p[i] = prof; } ll res = 0; for (int i = (1); i <= (s); i++) cc[root(i)].push_back(i); for (int i = (1); i <= (s); i++) if (i == root(i)) res += get_profit(i); writeln(res); }
#include <bits/stdc++.h> using namespace std; namespace Dinic { const int N = 100005; const long long int INF = 1000LL * 1000 * 1000 * 1000 * 1000 * 1000; struct edge { int a, b; long long int cap, flow; }; int n, s, t, d[N], ptr[N], q[N]; vector<edge> e; vector<int> g[N]; int add_edge(int a, int b, long long int cap) { edge e1 = {a, b, cap, 0}; edge e2 = {b, a, cap, cap}; g[a].push_back(e.size()); e.push_back(e1); g[b].push_back(e.size()); e.push_back(e2); return e.size() - 2; } bool bfs() { int qh = 0, qt = 0; q[qt++] = s; memset(d + 1, -1, n * sizeof d[0]); d[s] = 0; while (qh < qt && d[t] == -1) { int v = q[qh++]; for (int i = 0; i < (int)g[v].size(); ++i) { int id = g[v][i], to = e[id].b; if (d[to] == -1 && e[id].flow < e[id].cap) { q[qt++] = to; d[to] = d[v] + 1; } } } return d[t] != -1; } long long int dfs(int v, long long int flow) { if (!flow) return 0; if (v == t) return flow; long long int res = 0; for (; ptr[v] < (int)g[v].size(); ++ptr[v]) { int id = g[v][ptr[v]], to = e[id].b; if (d[to] != d[v] + 1) continue; long long int pushed = dfs(to, min(flow, e[id].cap - e[id].flow)); e[id].flow += pushed; e[id ^ 1].flow -= pushed; res += pushed; flow -= pushed; if (flow == 0) break; } return res; } long long int dinic(int _n, int _s, int _t) { n = _n; s = _s; t = _t; long long int flow = 0; for (;;) { if (!bfs()) break; memset(ptr, 0, n * sizeof ptr[0]); flow += dfs(s, INF); } return flow; } } // namespace Dinic const int N = 107; const int NN = 100007; const int MAXI = 1e6; const int INF = 1e9 + 7; int n, m; int dist[N][N]; int s, b, k; int pl2[NN], def[NN], gold[NN]; int pl1[NN], att[NN], fuel[NN], price[NN], profit[NN]; vector<int> A[N], B[N]; bool cmp(int a, int b) { if (att[a] == att[b]) return a < b; return att[a] < att[b]; } bool cmp2(int a, int b) { if (def[a] == def[b]) return a < b; return def[a] < def[b]; } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) dist[i][j] = i == j ? 0 : INF; for (int i = 1; i <= m; ++i) { int u, v; scanf("%d %d", &u, &v); if (u == v) continue; dist[u][v] = dist[v][u] = 1; } for (int k = 1; k <= n; ++k) for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); scanf("%d %d %d", &s, &b, &k); for (int i = 1; i <= s; ++i) { scanf("%d %d %d %d", &pl1[i], &att[i], &fuel[i], &price[i]); A[pl1[i]].push_back(i); } for (int i = 1; i <= b; ++i) { scanf("%d %d %d", &pl2[i], &def[i], &gold[i]); B[pl2[i]].push_back(i); } for (int i = 1; i <= n; ++i) { sort(A[i].begin(), A[i].end(), cmp); sort(B[i].begin(), B[i].end(), cmp2); } for (int i = 1; i <= n; ++i) for (int j = 1; j < (int)B[i].size(); ++j) gold[B[i][j]] = max(gold[B[i][j]], gold[B[i][j - 1]]); for (int i = 1; i <= n; ++i) { if (A[i].size() == 0) continue; for (auto t : A[i]) profit[t] = -INF; for (int j = 1; j <= n; ++j) { if (B[j].size() == 0) continue; int wsk = -1; for (int t : A[i]) { while (wsk + 1 < (int)B[j].size() && def[B[j][wsk + 1]] <= att[t]) ++wsk; if (wsk > -1 && fuel[t] >= dist[i][j]) profit[t] = max(profit[t], gold[B[j][wsk]] - price[t]); } } } for (int i = 1; i <= s; ++i) { long long int weight = 1LL * MAXI * profit[i]; if (profit[i] == -INF) weight = -Dinic::INF; if (weight == 0) weight = 1; if (weight > 0) Dinic::add_edge(1, i + 1, weight); else Dinic::add_edge(i + 1, s + 2, -weight); } for (int i = 1; i <= k; ++i) { int u, v; scanf("%d %d", &u, &v); Dinic::add_edge(u + 1, v + 1, Dinic::INF); } long long int ans = 0LL; for (int i = 1; i <= s; ++i) if (profit[i] > 0) ans += profit[i]; ans -= Dinic::dinic(s + 2, 1, s + 2) / MAXI; printf("%lld\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 112345; const int inf = 0x3f3f3f3f; const long long INF = 0x3f3f3f3f3f3f3f3f; int n, m, k, dis[105][105], bit[105][maxn], s, b, c[maxn][4], d[maxn][3], s1[1123], s2[1123], best[maxn], S, T, cnt; bool used[maxn]; map<int, int> mp; vector<int> def; inline int ID(int x) { return upper_bound(def.begin(), def.end(), x) - def.begin(); } inline int get(int x) { if (mp.find(x) == mp.end()) mp[x] = ++cnt; return mp[x]; } inline void update(int x, int val, int *bit) { while (x <= m) { bit[x] = max(bit[x], val); x += x & -x; } } inline int query(int x, int *bit) { int ret = -inf; while (x) { ret = max(ret, bit[x]); x -= x & -x; } return ret; } struct edge { int to; long long cap; int rev; edge() {} edge(int to, long long cap, int rev) : to(to), cap(cap), rev(rev) {} }; vector<edge> G[2123]; int level[2123], iter[2123]; inline void addedge(int from, int to, long long cap) { G[from].push_back(edge(to, cap, G[to].size())); G[to].push_back(edge(from, 0, G[from].size() - 1)); } inline void bfs(int s) { memset(level, -1, sizeof level); queue<int> que; level[s] = 0; que.push(s); while (!que.empty()) { int v = que.front(); que.pop(); for (int i = 0; i < (int)G[v].size(); ++i) { edge &e = G[v][i]; if (e.cap > 0 && level[e.to] < 0) { level[e.to] = level[v] + 1; que.push(e.to); } } } } long long dfs(int v, int t, long long f) { if (v == t) return f; for (int &i = iter[v]; i < (int)G[v].size(); ++i) { edge &e = G[v][i]; if (e.cap > 0 && level[v] < level[e.to]) { long long d = dfs(e.to, t, min(f, e.cap)); if (d > 0) { e.cap -= d; G[e.to][e.rev].cap += d; return d; } } } return 0; } inline long long max_flow(int s, int t) { long long flow = 0; while (1) { bfs(s); if (level[t] < 0) return flow; memset(iter, 0, sizeof iter); int f; while ((f = dfs(s, t, INF)) > 0) flow += f; } } int main() { scanf("%d%d", &n, &m); memset(dis, 0x3f, sizeof dis); for (int i = 1; i <= n; ++i) dis[i][i] = 0; for (int i = 1; i <= m; ++i) { int u, v; scanf("%d%d", &u, &v); dis[u][v] = dis[v][u] = 1; } for (int k = 1; k <= n; ++k) for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]); scanf("%d%d%d", &s, &b, &k); for (int i = 1; i <= s; ++i) for (int j = 0; j < 4; ++j) scanf("%d", &c[i][j]); for (int i = 1; i <= b; ++i) for (int j = 0; j < 3; ++j) scanf("%d", &d[i][j]), def.push_back(d[i][1]); for (int i = 1; i <= k; ++i) scanf("%d%d", &s1[i], &s2[i]), used[s1[i]] = used[s2[i]] = true; sort(def.begin(), def.end()); def.erase(unique(def.begin(), def.end()), def.end()); m = def.size(); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) bit[i][j] = -inf; for (int i = 1; i <= b; ++i) update(ID(d[i][1]), d[i][2], bit[d[i][0]]); for (int i = 1; i <= s; ++i) { best[i] = -inf; for (int j = 1; j <= n; ++j) if (dis[c[i][0]][j] <= c[i][2]) best[i] = max(best[i], query(ID(c[i][1]), bit[j])); } for (int i = 1; i <= s; ++i) if (best[i] != -inf) best[i] -= c[i][3]; long long res = 0; S = 0, T = 2001; for (int i = 1; i <= s; ++i) if (!used[i]) res += max(0, best[i]); else { if (best[i] >= 0) addedge(S, get(i), best[i]), res += best[i]; else if (best[i] == -inf) addedge(get(i), T, INF); else addedge(get(i), T, -best[i]); } for (int i = 1; i <= k; ++i) addedge(get(s1[i]), get(s2[i]), INF); res -= max_flow(S, T); cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; const int INF = 1e9 + 5; const long long INF_LL = 1e15 + 5; int g[N][N], dist[N][N]; struct Ship { int loc, attack, fuel, price; void read() { cin >> loc >> attack >> fuel >> price; --loc; } }; vector<pair<int, int>> reward[N]; struct Base { int loc, defence, gold; void read() { cin >> loc >> defence >> gold; --loc; reward[loc].emplace_back(defence, gold); } }; template <typename T> void max_self(T& a, T b) { a = max(a, b); } template <typename flow_t> class Dinic { public: Dinic(int _n, int _source, int _sink) : n(_n), source(_source), sink(_sink) { g.resize(n); flow.resize(n, vector<flow_t>(n)); level.resize(n); ptr.resize(n); } void add_edge(int from, int to, flow_t cap) { g[from].push_back(to); g[to].push_back(from); flow[from][to] += cap; } bool bfs() { vector<int> q{source}; for (int i = 0; i < (int)q.size(); i++) { int u = q[i]; for (int v : g[u]) { if (level[v] == -1 && flow[u][v] > 0) { level[v] = level[u] + 1; q.push_back(v); } } } return level[sink] != -1; } flow_t dfs(int u, flow_t pushed) { if (pushed == 0) { return 0; } if (u == sink) { return pushed; } for (int& pos = ptr[u]; pos < (int)g[u].size(); pos++) { int v = g[u][pos]; if (level[v] != level[u] + 1 || flow[u][v] == 0) { continue; } flow_t maybe_push = dfs(v, min(pushed, flow[u][v])); if (maybe_push == 0) { continue; } flow[u][v] -= maybe_push; flow[v][u] += maybe_push; return maybe_push; } return 0; } flow_t max_flow() { flow_t mf(0); while (true) { level.assign(n, -1); level[source] = 0; if (!bfs()) { break; } ptr.assign(n, 0); flow_t now; do { now = dfs(source, FLOW_MAX); mf += now; } while (now != 0); } return mf; } private: const flow_t FLOW_MAX = numeric_limits<flow_t>::max() / 2; vector<vector<int>> g; vector<vector<flow_t>> flow; vector<int> level, ptr; int n, source, sink; }; int main() { ios::sync_with_stdio(false); cin.tie(0); fill((int*)dist, (int*)dist + N * N, INF); for (int i = 0; i < int(N); i++) dist[i][i] = 0; int n, m; cin >> n >> m; for (int i = 0; i < int(m); i++) { int a, b; cin >> a >> b; --a, --b; g[a][b] = g[b][a] = 1; dist[a][b] = dist[b][a] = 1; } for (int k = 0; k < int(n); k++) for (int i = 0; i < int(n); i++) for (int j = 0; j < int(n); j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } int second, B, K; cin >> second >> B >> K; vector<Ship> ships(second); vector<Base> bases(B); for (auto& s : ships) { s.read(); } for (auto& b : bases) { b.read(); } for (int i = 0; i < int(n); i++) { sort(reward[i].begin(), reward[i].end()); int sz = reward[i].size(); for (int j = 1; j <= int(sz - 1); j++) { reward[i][j].second = max(reward[i][j].second, reward[i][j - 1].second); } } vector<long long> ship_reward(second, -INF_LL); for (int i = 0; i < int(second); i++) { Ship s = ships[i]; for (int base = 0; base < int(n); base++) if (dist[s.loc][base] < INF) { int lo = 0, hi = (int)reward[base].size() - 1; int idx = -1; while (lo <= hi) { int mid = (lo + hi) / 2; if (reward[base][mid].first <= s.attack) { idx = mid; lo = mid + 1; } else { hi = mid - 1; } } if (idx == -1) { continue; } max_self(ship_reward[i], (long long)reward[base][idx].second - s.price); } } vector<pair<int, int>> dependencies; for (int i = 0; i < int(K); i++) { int a, b; cin >> a >> b; --a, --b; dependencies.emplace_back(a, b); } long long ans = 0; for (int i = 0; i < int(second); i++) { if (ship_reward[i] > 0) { ans += ship_reward[i]; } } map<int, int> id; int nodes = 0; for (auto [u, v] : dependencies) { if (!id.count(u)) { id[u] = nodes++; } if (!id.count(v)) { id[v] = nodes++; } } int source = nodes++; int sink = nodes++; Dinic<long long> graph(nodes, source, sink); for (auto [u, _] : id) { if (ship_reward[u] >= 0) { graph.add_edge(source, id[u], ship_reward[u]); } else { graph.add_edge(id[u], sink, -ship_reward[u]); } } for (auto [u, v] : dependencies) { graph.add_edge(id[u], id[v], INF_LL); } ans -= graph.max_flow(); cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; const long long inf = 1000000000000000000ll; vector<pair<int, int> > v[110]; struct spaceship { int x, a, f; long long p; } s[100010]; int n, m, p[110], f[110][110], x, y, id[100010], d, g, S, B, K, D[100010], e[100010][2]; bool cmp(const int &a, const int &b) { return s[a].a < s[b].a; } namespace MaxFlow { struct node { int to, next; long long c; } e[100010]; int hd[10010], cnt, n, cur[10010], dis[10010], q[10010], l, r, x; void addedge(int x, int y, long long c) { e[++cnt] = (node){y, hd[x], c}, hd[x] = cnt; e[++cnt] = (node){x, hd[y], 0}, hd[y] = cnt; } bool bfs() { for (int i = 1; i <= n; i++) dis[i] = 0; dis[1] = 1, q[l = r = 1] = 1; while (l <= r) { x = q[l++]; for (int i = hd[x]; i; i = e[i].next) if (e[i].c > 0 && !dis[e[i].to]) dis[e[i].to] = dis[x] + 1, q[++r] = e[i].to; } return (dis[n] > 0); } long long dinic(int x, long long f) { if (x == n) return f; for (int &i = cur[x]; i; i = e[i].next) if (e[i].c > 0 && dis[e[i].to] == dis[x] + 1) { long long nw = dinic(e[i].to, min(f, e[i].c)); if (nw > 0) return e[i].c -= nw, e[i ^ 1].c += nw, nw; } return 0; } long long solve() { long long ans = 0, nw; while (bfs()) { for (int i = 1; i <= n; i++) cur[i] = hd[i]; while (nw = dinic(1, inf)) ans += nw; } return ans; } } // namespace MaxFlow int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j] = 100000; for (int i = 1; i <= m; i++) scanf("%d%d", &x, &y), f[x][y] = f[y][x] = 1; for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j] = min(f[i][j], f[i][k] + f[k][j]); scanf("%d%d%d", &S, &B, &K); for (int i = 1; i <= S; i++) id[i] = i, scanf("%d%d%d%d", &s[i].x, &s[i].a, &s[i].f, &s[i].p); sort(id + 1, id + 1 + S, cmp); for (int i = 1; i <= B; i++) scanf("%d%d%d", &x, &d, &g), v[x].push_back(make_pair(d, g)); for (int i = 1; i <= n; i++) { sort(v[i].begin(), v[i].end()), p[i] = 0; for (int j = 1, sz = v[i].size(); j < sz; j++) v[i][j].second = max(v[i][j].second, v[i][j - 1].second); } long long ans = 0; for (int I = 1; I <= S; I++) { int i = id[I]; long long ma = -inf; for (int j = 1; j <= n; j++) if (f[s[i].x][j] <= s[i].f) { int sz = v[j].size(); if (!sz) continue; while (p[j] < sz - 1 && v[j][p[j] + 1].first <= s[i].a) p[j]++; if (v[j][p[j]].first <= s[i].a) ma = max(ma, (long long)v[j][p[j]].second); } s[i].p = ma - s[i].p; if (s[i].p > 0) ans += s[i].p; } MaxFlow::n = 2, MaxFlow::cnt = 1; for (int i = 1; i <= K; i++) scanf("%d%d", &e[i][0], &e[i][1]), D[e[i][0]]++, D[e[i][1]]++; for (int i = 1; i <= S; i++) if (D[i]) id[i] = (MaxFlow::n++); for (int i = 1; i <= K; i++) MaxFlow::addedge(id[e[i][0]], id[e[i][1]], inf); for (int i = 1; i <= S; i++) if (D[i]) { if (s[i].p > 0) MaxFlow::addedge(1, id[i], s[i].p); else MaxFlow::addedge(id[i], MaxFlow::n, -s[i].p); } ans -= MaxFlow::solve(); printf("%I64d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int SZ = 3e6 + 10; const long long INF = 1e15 + 10; const int mod = 998244353; const long double eps = 1e-8; long long read() { long long n = 0; char a = getchar(); bool flag = 0; while (a > '9' || a < '0') { if (a == '-') flag = 1; a = getchar(); } while (a <= '9' && a >= '0') { n = n * 10 + a - '0', a = getchar(); } if (flag) n = -n; return n; } struct edge { int f, t; long long d; } l[SZ]; int head[SZ], nxt[SZ], tot = 1; void build(int f, int t, long long d) { l[++tot] = (edge){f, t, d}; nxt[tot] = head[f]; head[f] = tot; } void insert(int f, int t, long long d) { build(f, t, d); build(t, f, 0); } int deep[SZ]; bool bfs(int s, int e) { for (int i = 1; i <= e; i++) deep[i] = 0; queue<int> q; q.push(s); deep[s] = 1; while (q.size()) { int u = q.front(); q.pop(); for (int i = head[u]; i; i = nxt[i]) { int v = l[i].t; if (l[i].d && !deep[v]) { deep[v] = deep[u] + 1; if (v == e) return true; q.push(v); } } } return false; } long long dfs(int u, long long flow, int e) { if (u == e || flow == 0) return flow; long long ans = flow; for (int i = head[u]; i; i = nxt[i]) { int v = l[i].t; if (l[i].d && deep[v] == deep[u] + 1) { long long f = dfs(v, min(ans, l[i].d), e); if (f > 0) { l[i].d -= f; l[i ^ 1].d += f; ans -= f; if (ans == 0) break; } else deep[v] = 0; } } if (ans == flow) deep[u] = 0; return flow - ans; } long long dinic(int s, int e) { long long ans = 0; while (bfs(s, e)) { long long tmp = dfs(s, INF, e); if (tmp == 0) break; ans += tmp; } return ans; } int f[110][110]; struct hhhh { int x, a, f, p; } a[SZ]; vector<pair<int, int> > base[SZ]; long long val[SZ]; int id[SZ], ff[SZ], tt[SZ], mark[SZ]; int main() { int n = read(), m = read(); memset(f, 63, sizeof f); for (int i = 1; i <= m; i++) { int x = read(), y = read(); f[x][y] = f[y][x] = 1; } for (int k = 1; k <= n; k++) f[k][k] = 0; for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) f[i][j] = min(f[i][j], f[i][k] + f[k][j]); int S = read(), B = read(), K = read(); for (int i = 1; i <= S; i++) { a[i].x = read(), a[i].a = read(), a[i].f = read(), a[i].p = read(); } for (int i = 1; i <= B; i++) { int x = read(), d = read(), g = read(); base[x].push_back(make_pair(d, g)); } for (int i = 1; i <= n; i++) { sort(base[i].begin(), base[i].end()); int maxg = -1; for (int j = 0; j < base[i].size(); j++) { maxg = max(maxg, base[i][j].second); base[i][j].second = maxg; } } for (int i = 1; i <= S; i++) { int u = a[i].x; long long maxg = -INF; for (int v = 1; v <= n; v++) { if (f[u][v] <= a[i].f) { auto it = upper_bound(base[v].begin(), base[v].end(), make_pair(a[i].a, (int)(1e9 + 1))); if (it == base[v].begin()) continue; it--; maxg = max(maxg, 1ll * it->second); } } if (maxg == -INF) val[i] = -1e14; else val[i] = maxg - a[i].p; } for (int i = 1; i <= K; i++) { ff[i] = read(), tt[i] = read(); mark[ff[i]] = 1; mark[tt[i]] = 1; } long long ans = 0; for (int i = 1; i <= S; i++) if (!mark[i]) ans += max(val[i], 0ll); int tot = 0; for (int i = 1; i <= S; i++) if (mark[i]) { id[i] = ++tot; } int s = tot + 1, e = s + 1; long long sum = 0; for (int i = 1; i <= S; i++) { if (!mark[i]) continue; if (val[i] > 0) { sum += val[i]; insert(s, id[i], val[i]); } else { insert(id[i], e, -val[i]); } } for (int i = 1; i <= K; i++) { int x = id[ff[i]], y = id[tt[i]]; insert(x, y, INF); } cout << ans + sum - dinic(s, e); }
#include <bits/stdc++.h> using namespace std; const int maxn = 100 + 5; const int maxs = 1e5 + 5; vector<int> gr[maxs], rg[maxs], sg[maxs]; int x[maxs], a[maxs], f[maxs], p[maxs]; int y[maxs], d[maxs], g[maxs]; int w[maxn][maxn], mg[maxn]; int topo[maxs], scc[maxs], uf[maxs]; long long pf[maxs], sum[maxs], ans[maxs]; long long opt[maxs]; bool ok[maxs], used[maxs]; bool sok[maxs]; void build(int n, int s, int b) { vector<int> vs(s), vb(b); iota(vs.begin(), vs.end(), 0); iota(vb.begin(), vb.end(), 0); sort(vs.begin(), vs.end(), [&](int i, int j) { return a[i] < a[j]; }); sort(vb.begin(), vb.end(), [&](int i, int j) { return d[i] < d[j]; }); for (int i = 0; i < n; ++i) mg[i] = -1; for (int i = 0, j = 0; i < s; ++i) { while (j < b && d[vb[j]] <= a[vs[i]]) { mg[y[vb[j]]] = max(mg[y[vb[j]]], g[vb[j]]); ++j; } int res = -1; for (int k = 0; k < n; ++k) { if (w[x[vs[i]]][k] <= f[vs[i]]) res = max(res, mg[k]); } if (res == -1) ok[vs[i]] = false; else ok[vs[i]] = true, pf[vs[i]] = res - p[vs[i]]; } } void dfs(int x) { static int sz = 0; used[x] = true; for (int i = 0; i < (int)gr[x].size(); ++i) { int u = gr[x][i]; if (!used[u]) dfs(u); } topo[sz++] = x; } void rdfs(int x, int s) { scc[x] = s; for (int i = 0; i < (int)rg[x].size(); ++i) { int u = rg[x][i]; if (scc[u] == -1) rdfs(u, s); } } int find(int x) { if (x == uf[x]) return x; return uf[x] = find(uf[x]); } void merge(int x, int y) { uf[find(x)] = find(y); } vector<int> walk; void dfs3(int x) { walk.push_back(x); used[x] = true; for (int i = 0; i < (int)sg[x].size(); ++i) { int u = sg[x][i]; if (used[u]) continue; dfs3(u); } } struct dinic { static const int maxn = maxs; static const long long inf = 1e18; struct edge { int dest, rev; long long cap; edge(int d, long long c, int r) : dest(d), cap(c), rev(r) {} }; vector<edge> g[maxn]; int qu[maxn], ql, qr; int lev[maxn]; void init() { for (int i = 0; i < maxn; ++i) g[i].clear(); } void add_edge(int a, int b, long long c) { g[a].emplace_back(b, c, g[b].size() - 0); g[b].emplace_back(a, 0, g[a].size() - 1); } bool bfs(int s, int t) { memset(lev, -1, sizeof(lev)); lev[s] = 0; ql = qr = 0; qu[qr++] = s; while (ql < qr) { int x = qu[ql++]; for (edge &e : g[x]) if (lev[e.dest] == -1 && e.cap > 0) { lev[e.dest] = lev[x] + 1; qu[qr++] = e.dest; } } return lev[t] != -1; } long long dfs(int x, int t, long long flow) { if (x == t) return flow; long long res = 0; for (edge &e : g[x]) if (e.cap > 0 && lev[e.dest] == lev[x] + 1) { long long f = dfs(e.dest, t, min(e.cap, flow - res)); res += f; e.cap -= f; g[e.dest][e.rev].cap += f; } if (res == 0) lev[x] = -1; return res; } long long operator()(int s, int t) { long long flow = 0; for (; bfs(s, t); flow += dfs(s, t, inf)) ; return flow; } }; int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) w[i][j] = i == j ? 0 : 1e8; } for (int i = 0; i < m; ++i) { int u, v; scanf("%d%d", &u, &v); --u, --v; if (u == v) continue; w[u][v] = w[v][u] = 1; } for (int k = 0; k < n; ++k) { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) w[i][j] = min(w[i][j], w[i][k] + w[k][j]); } } int s, b, k; scanf("%d%d%d", &s, &b, &k); for (int i = 0; i < s; ++i) { scanf("%d%d%d%d", &x[i], &a[i], &f[i], &p[i]); --x[i]; } for (int i = 0; i < b; ++i) { scanf("%d%d%d", &y[i], &d[i], &g[i]); --y[i]; } build(n, s, b); dinic flow; long long sum = 0; for (int i = 0; i < s; ++i) { if (!ok[i]) { flow.add_edge(i, s + 1, 2e14); continue; } if (pf[i] >= 0) { sum += pf[i]; flow.add_edge(s, i, pf[i]); } else { flow.add_edge(i, s + 1, -pf[i]); } } while (k--) { int u, v; scanf("%d%d", &u, &v); --u, --v; flow.add_edge(u, v, 2e14); } printf("%lld\n", sum - flow(s, s + 1)); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> struct Dinic { static const int MAXN = 100005, MAXM = 1000005; struct Edge { int to, next; T cap; } edge[MAXM]; int head[MAXN], tot; void clear() { memset(head, -1, sizeof(head)); tot = 0; } Dinic() { clear(); } void add(int u, int v, T c) { edge[tot] = (Edge){v, head[u], c}; head[u] = tot++; edge[tot] = (Edge){u, head[v], (T)0}; head[v] = tot++; } int dis[MAXN], que[MAXN], id[MAXN]; bool bfs(int s, int t) { memset(dis, -1, sizeof(dis)); memcpy(id, head, sizeof(id)); int he = 0, ta = 0; dis[que[ta++] = s] = 0; while (he < ta) { int u = que[he++]; for (int i = head[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (dis[v] < 0 && edge[i].cap) { dis[que[ta++] = v] = dis[u] + 1; if (v == t) return true; } } } return false; } T dfs(int u, int t, T f) { if (u == t) return f; T flow = 0; for (int &i = id[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (dis[v] > dis[u] && edge[i].cap) { int d = dfs(v, t, min(f, edge[i].cap)); if (!d) continue; edge[i].cap -= d, edge[i ^ 1].cap += d; flow += d, f -= d; if (f == 0) return flow; } } dis[u] = -1; return flow; } T dinic(int s, int t, T inf = 1E9) { T flow = 0; while (bfs(s, t)) flow += dfs(s, t, inf); return flow; } }; const long long INF = 1E15; Dinic<long long> din; const int MAXN = 100005; int dis[105][105], xx[MAXN], aa[MAXN], ff[MAXN], pp[MAXN], qq[MAXN], vis[MAXN], n, m; struct Node { int d, g; } sh[MAXN]; vector<Node> nd[105]; bool cmp(const Node &a, const Node &b) { return a.d < b.d; } int main() { scanf("%d%d", &n, &m); memset(dis, 0x3f, sizeof(dis)); for (int i = 1; i <= n; i++) dis[i][i] = 0; for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); dis[u][v] = dis[v][u] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) for (int k = 1; k <= n; k++) dis[j][k] = min(dis[i][j] + dis[i][k], dis[j][k]); int S, B, K; scanf("%d%d%d", &S, &B, &K); for (int i = 1; i <= S; i++) { scanf("%d%d%d%d", xx + i, aa + i, ff + i, pp + i); sh[i] = (Node){aa[i], i}; } sort(sh + 1, sh + 1 + S, cmp); for (int i = 1; i <= B; i++) { int x, d, g; scanf("%d%d%d", &x, &d, &g); nd[x].push_back((Node){d, g}); } for (int i = 1; i <= n; i++) { sort(nd[i].begin(), nd[i].end(), cmp); int mx = 0; for (Node &d : nd[i]) { mx = max(mx, d.g); d.g = mx; } } fill(qq + 1, qq + 1 + S, -1E9 - 555); for (int i = 1; i <= n; i++) { int s = nd[i].size(); for (int j = 1, k = 0; j <= S; j++) { for (; k < s && nd[i][k].d <= sh[j].d; ++k) ; if (k > 0 && dis[i][xx[sh[j].g]] <= ff[sh[j].g]) qq[sh[j].g] = max(qq[sh[j].g], nd[i][k - 1].g); } } for (int i = 1; i <= S; i++) pp[i] = qq[i] - pp[i]; for (int i = 1; i <= K; i++) { int u, v; scanf("%d%d", &u, &v); din.add(u, v, INF); vis[u] = vis[v] = 1; } long long ans = 0; int s = S + 1, t = s + 1; for (int i = 1; i <= S; i++) if (!vis[i] && pp[i] > 0) ans += pp[i]; for (int i = 1; i <= S; i++) if (vis[i]) { if (pp[i] > 0) din.add(s, i, pp[i]), ans += pp[i]; else din.add(i, t, -pp[i]); } printf("%lld\n", ans - din.dinic(s, t, INF)); return 0; }
#include <bits/stdc++.h> using namespace std; long long d[110][110], INF = 1e18; long long v[100010]; vector<pair<long long, long long>> base[110]; vector<long long> bst[110]; struct Dinic { int nodes, src, dst; vector<int> dist, q, work; struct edge { int to, rev; long long f, cap; }; vector<vector<edge>> g; Dinic(int x) : nodes(x), g(x), dist(x), q(x), work(x) {} void add_edge(int s, int t, long long cap) { g[s].push_back((edge){t, int(g[t].size()), 0, cap}); g[t].push_back((edge){s, int(g[s].size()) - 1, 0, 0}); } bool dinic_bfs() { fill(dist.begin(), dist.end(), -1); dist[src] = 0; int qt = 0; q[qt++] = src; for (int qh = 0; qh < qt; qh++) { int u = q[qh]; for (int i = 0, ThxDem = int(g[u].size()); i < ThxDem; ++i) { edge& e = g[u][i]; int v = g[u][i].to; if (dist[v] < 0 && e.f < e.cap) dist[v] = dist[u] + 1, q[qt++] = v; } } return dist[dst] >= 0; } long long dinic_dfs(int u, long long f) { if (u == dst) return f; for (int& i = work[u]; i < int(g[u].size()); i++) { edge& e = g[u][i]; if (e.cap <= e.f) continue; int v = e.to; if (dist[v] == dist[u] + 1) { long long df = dinic_dfs(v, min(f, e.cap - e.f)); if (df > 0) { e.f += df; g[v][e.rev].f -= df; return df; } } } return 0; } long long max_flow(int _src, int _dst) { src = _src; dst = _dst; long long result = 0; while (dinic_bfs()) { fill(work.begin(), work.end(), 0); while (long long delta = dinic_dfs(src, INF)) result += delta; } return result; } }; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0, ThxDem = n; i < ThxDem; ++i) for (int j = 0, ThxDem = n; j < ThxDem; ++j) d[i][j] = INF * (i != j); for (int i = 0, ThxDem = m; i < ThxDem; ++i) { int x, y; cin >> x >> y; d[x - 1][y - 1] = d[y - 1][x - 1] = 1; } for (int k = 0, ThxDem = n; k < ThxDem; ++k) for (int i = 0, ThxDem = n; i < ThxDem; ++i) for (int j = 0, ThxDem = n; j < ThxDem; ++j) { if (d[i][k] != INF && d[k][j] != INF) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); } long long ans = 0, s, b, k; cin >> s >> b >> k; for (int i = 0, ThxDem = s; i < ThxDem; ++i) v[i] = -INF; vector<pair<pair<long long, long long>, pair<long long, long long>>> a(s); for (int i = 0, ThxDem = s; i < ThxDem; ++i) cin >> a[i].first.first >> a[i].first.second >> a[i].second.first >> a[i].second.second, a[i].first.first--; for (int i = 0, ThxDem = b; i < ThxDem; ++i) { long long x, di, g; cin >> x >> di >> g; x--; base[x].push_back({di, g}); } for (int i = 0, ThxDem = n; i < ThxDem; ++i) { sort(base[i].begin(), base[i].end()); bst[i].resize(int(base[i].size())); for (int j = 0, ThxDem = int(base[i].size()); j < ThxDem; ++j) { bst[i][j] = base[i][j].second; if (j) bst[i][j] = max(bst[i][j], bst[i][j - 1]); } } Dinic nt(s + 2); for (int i = 0, ThxDem = int(a.size()); i < ThxDem; ++i) { for (int j = 0, ThxDem = n; j < ThxDem; ++j) { int top = upper_bound(base[j].begin(), base[j].end(), (pair<long long, long long>){a[i].first.second, INF}) - base[j].begin() - 1; if (d[a[i].first.first][j] <= a[i].second.first && top >= 0) { v[i] = max(v[i], bst[j][top] - a[i].second.second); } } if (v[i] < 0) nt.add_edge(i + 1, s + 1, -v[i]); else ans += v[i], nt.add_edge(0, i + 1, v[i]); } for (int i = 0, ThxDem = k; i < ThxDem; ++i) { int x, y; cin >> x >> y; nt.add_edge(x, y, INF); } cout << ans - nt.max_flow(0, s + 1) << "\n"; }
#include <bits/stdc++.h> using namespace std; int Head[2000010], Next[2000010], Go[2000010], Cnt = 0; struct flow { int Head[250010], Next[2000010], Go[2000010], Cnt; long long Val[2000010], Fl[250010]; int Am[250010], H[250010], Pr[250010], Nw[250010]; flow() { Cnt = 1, memset(Head, 0, sizeof Head); } void addedge(int a, int b, long long c) { Go[++Cnt] = b; Next[Cnt] = Head[a]; Head[a] = Cnt; Val[Cnt] = c; } long long getflow(int S, int TT, int tot) { int first = S; long long f = 1e18; Am[0] = tot; long long ans = 0; while (H[first] <= tot) { if (!Nw[first]) Nw[first] = Head[first]; int flag = 0; for (int &T = Nw[first]; T; T = Next[T]) if (Val[T] && H[Go[T]] == H[first] - 1) { flag = 1, Pr[Go[T]] = T ^ 1; Fl[first] = f, f = min(f, Val[T]); first = Go[T]; if (first == TT) { ans += f; while (first != S) Val[Pr[first]] += f, Val[Pr[first] ^ 1] -= f, first = Go[Pr[first]]; f = 1e18; } break; } if (!flag) { int mn = tot; for (int T = Head[first]; T; T = Next[T]) if (Val[T] && H[Go[T]] < mn) mn = H[Go[T]], Nw[first] = T; if (!--Am[H[first]]) break; Am[H[first] = mn + 1]++; if (first != S) { first = Go[Pr[first]]; f = Fl[first]; } } } return ans; } } qwq; int n, m, Dis[105][105], XA[250010], AA[250010], FA[250010], PA[250010], XB[250010], DB[250010], GB[250010]; long long Ans[100010]; vector<pair<long long, long long> > V[105]; int main() { scanf("%d%d", &n, &m); memset(Dis, 63, sizeof Dis); for (int i = 1; i <= n; i++) Dis[i][i] = 0; for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); Dis[a][b] = 1, Dis[b][a] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) for (int k = 1; k <= n; k++) Dis[j][k] = min(Dis[j][k], Dis[j][i] + Dis[i][k]); int s, b, k; scanf("%d%d%d", &s, &b, &k); for (int i = 1; i <= s; i++) scanf("%d%d%d%d", &XA[i], &AA[i], &FA[i], &PA[i]); for (int i = 1; i <= n; i++) V[i].push_back(pair<long long, long long>(-1e18, -1e18)); for (int i = 1; i <= b; i++) { int first, d, g; scanf("%d%d%d", &first, &d, &g); V[first].push_back(pair<long long, long long>(d, g)); } for (int i = 1; i <= n; i++) { sort(V[i].begin(), V[i].end()); for (int j = 1; j < V[i].size(); j++) V[i][j].second = max(V[i][j].second, V[i][j - 1].second); } for (int i = 1; i <= s; i++) { long long ans = -1e18; for (int j = 1; j <= n; j++) if (Dis[XA[i]][j] <= FA[i]) ans = max(ans, V[j][lower_bound(V[j].begin(), V[j].end(), pair<long long, long long>(AA[i] + 1, -1e18)) - V[j].begin() - 1] .second); Ans[i] = ans - PA[i]; } while (k--) { int s1, s2; scanf("%d%d", &s1, &s2); qwq.addedge(s1, s2, 1e18); qwq.addedge(s2, s1, 0); } long long ans = 0; for (int i = 1; i <= s; i++) if (Ans[i] > 0) ans += Ans[i], qwq.addedge(s + 1, i, Ans[i]), qwq.addedge(i, s + 1, 0); else qwq.addedge(i, s + 2, -Ans[i]), qwq.addedge(s + 2, i, 0); printf("%lld\n", ans - qwq.getflow(s + 1, s + 2, s + 2)); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; class flow { private: int n; vector<int> head, d, cur; vector<tuple<int, ll, int>> edge; bool bfs(int s, int t) { d.assign(n, -1); queue<int> que; que.push(s); d[s] = 0; while (!que.empty()) { int u = que.front(); que.pop(); for (int i = head[u]; i != -1; i = get<2>(edge[i])) { int v = get<0>(edge[i]); if (get<1>(edge[i]) && d[v] == -1) { d[v] = d[u] + 1; if (v == t) { return true; } que.push(v); } } } return false; } ll dfs(int u, int t, ll f) { if (u == t) { return f; } ll res = f; for (int &i = cur[u]; i != -1 && res; i = get<2>(edge[i])) { int v = get<0>(edge[i]); ll &c = get<1>(edge[i]); if (d[v] == d[u] + 1 && c) { ll aug = dfs(v, t, min(res, c)); res -= aug; c -= aug; get<1>(edge[i ^ 1]) += aug; } } return f - res; } public: flow(int _n) { n = _n; head.assign(n, -1); } void insert_edge(int u, int v, ll c) { edge.emplace_back(v, c, head[u]); head[u] = edge.size() - 1; edge.emplace_back(u, 0, head[v]); head[v] = edge.size() - 1; } ll max_flow(int s, int t) { ll flow = 0; while (bfs(s, t)) { cur = head; flow += dfs(s, t, 1e18); } return flow; } }; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; vector<vector<int>> dis(n, vector<int>(n, 1e9)); for (int i = 0; i < n; ++i) { dis[i][i] = 0; } for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; --u; --v; dis[u][v] = 1; dis[v][u] = 1; } for (int k = 0; k < n; ++k) { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]); } } } int s, b, k; cin >> s >> b >> k; vector<tuple<int, int, int, int>> ship; vector<vector<pair<int, int>>> base(n); for (int i = 0; i < s; ++i) { int x, a, f, p; cin >> x >> a >> f >> p; --x; ship.emplace_back(x, a, f, p); } for (int i = 0; i < b; ++i) { int x, d, g; cin >> x >> d >> g; --x; base[x].emplace_back(d, g); } for (int i = 0; i < n; ++i) { sort(base[i].begin(), base[i].end()); for (int j = 1; j < base[i].size(); ++j) { base[i][j].second = max(base[i][j].second, base[i][j - 1].second); } } vector<ll> gain(s); for (int i = 0; i < s; ++i) { int x = get<0>(ship[i]); int a = get<1>(ship[i]); int f = get<2>(ship[i]); int p = get<3>(ship[i]); gain[i] = -1e14; for (int j = 0; j < n; ++j) { if (dis[x][j] <= f && !base[j].empty() && a >= base[j][0].first) { gain[i] = max(gain[i], 1ll * (--upper_bound(base[j].begin(), base[j].end(), make_pair(a, (int)1e9))) ->second - p); } } } vector<bool> used(s); vector<pair<int, int>> rel; for (int i = 0; i < k; ++i) { int x, y; cin >> x >> y; --x; --y; used[x] = true; used[y] = true; rel.emplace_back(x, y); } int cnt = 0; ll ans = 0; vector<int> id(s, -1); for (int i = 0; i < s; ++i) { if (used[i]) { id[i] = cnt++; } else if (gain[i] > 0) { ans += gain[i]; } } flow G(cnt + 2); int S = cnt; int T = cnt + 1; for (int i = 0; i < s; ++i) { if (used[i]) { if (gain[i] > 0) { G.insert_edge(S, id[i], gain[i]); ans += gain[i]; } else if (gain[i] < 0) { G.insert_edge(id[i], T, -gain[i]); } } } for (int i = 0; i < k; ++i) { G.insert_edge(id[rel[i].first], id[rel[i].second], 1e18); } ans -= G.max_flow(S, T); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 105; const int INF = 1e9 + 5; const long long INF_LL = 1e15 + 5; int g[N][N], dist[N][N]; struct Ship { int loc, attack, fuel, price; void read() { cin >> loc >> attack >> fuel >> price; --loc; } }; vector<pair<int, int>> reward[N]; struct Base { int loc, defence, gold; void read() { cin >> loc >> defence >> gold; --loc; reward[loc].emplace_back(defence, gold); } }; template <typename T> void max_self(T& a, T b) { a = max(a, b); } template <typename flow_t> class Dinic { public: Dinic(int _n, int _source, int _sink) : n(_n), source(_source), sink(_sink) { g.resize(n); flow.resize(n, vector<flow_t>(n)); level.resize(n); ptr.resize(n); } void add_edge(int from, int to, flow_t cap) { g[from].push_back(to); g[to].push_back(from); flow[from][to] += cap; } bool bfs() { vector<int> q{source}; for (int i = 0; i < (int)q.size(); i++) { int u = q[i]; for (int v : g[u]) { if (level[v] == -1 && flow[u][v] > 0) { level[v] = level[u] + 1; q.push_back(v); } } } return level[sink] != -1; } flow_t dfs(int u, flow_t pushed) { if (pushed == 0) { return 0; } if (u == sink) { return pushed; } for (int& pos = ptr[u]; pos < (int)g[u].size(); pos++) { int v = g[u][pos]; if (level[v] != level[u] + 1 || flow[u][v] == 0) { continue; } flow_t maybe_push = dfs(v, min(pushed, flow[u][v])); if (maybe_push == 0) { continue; } flow[u][v] -= maybe_push; flow[v][u] += maybe_push; return maybe_push; } return 0; } flow_t max_flow() { flow_t mf(0); while (true) { level.assign(n, -1); level[source] = 0; if (!bfs()) { break; } ptr.assign(n, 0); flow_t now; do { now = dfs(source, FLOW_MAX); mf += now; } while (now != 0); } return mf; } private: const flow_t FLOW_MAX = numeric_limits<flow_t>::max() / 2; vector<vector<int>> g; vector<vector<flow_t>> flow; vector<int> level, ptr; int n, source, sink; }; int main() { ios::sync_with_stdio(false); cin.tie(0); fill((int*)dist, (int*)dist + N * N, INF); for (int i = 0; i < int(N); i++) dist[i][i] = 0; int n, m; cin >> n >> m; for (int i = 0; i < int(m); i++) { int a, b; cin >> a >> b; --a, --b; g[a][b] = g[b][a] = 1; dist[a][b] = dist[b][a] = 1; } for (int k = 0; k < int(n); k++) for (int i = 0; i < int(n); i++) for (int j = 0; j < int(n); j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } int second, B, K; cin >> second >> B >> K; vector<Ship> ships(second); vector<Base> bases(B); for (auto& s : ships) { s.read(); } for (auto& b : bases) { b.read(); } for (int i = 0; i < int(n); i++) { sort(reward[i].begin(), reward[i].end()); int sz = reward[i].size(); for (int j = 1; j <= int(sz - 1); j++) { reward[i][j].second = max(reward[i][j].second, reward[i][j - 1].second); } } vector<long long> ship_reward(second, -INF_LL); for (int i = 0; i < int(second); i++) { Ship s = ships[i]; for (int base = 0; base < int(n); base++) if (dist[s.loc][base] < INF) { int lo = 0, hi = (int)reward[base].size() - 1; int idx = -1; while (lo <= hi) { int mid = (lo + hi) / 2; if (reward[base][mid].first <= s.attack) { idx = mid; lo = mid + 1; } else { hi = mid - 1; } } if (idx == -1) { continue; } max_self(ship_reward[i], (long long)reward[base][idx].second - s.price); } } vector<pair<int, int>> dependencies; for (int i = 0; i < int(K); i++) { int a, b; cin >> a >> b; --a, --b; dependencies.emplace_back(a, b); } long long ans = 0; for (int i = 0; i < int(second); i++) { if (ship_reward[i] > 0) { ans += ship_reward[i]; } } map<int, int> id; int nodes = 0; for (auto [u, v] : dependencies) { if (!id.count(u)) { id[u] = nodes++; } if (!id.count(v)) { id[v] = nodes++; } } int source = nodes++; int sink = nodes++; Dinic<long long> graph(nodes, source, sink); for (auto [u, _] : id) { if (ship_reward[u] >= 0) { graph.add_edge(source, id[u], ship_reward[u]); } else { graph.add_edge(id[u], sink, -ship_reward[u]); } } for (auto [u, v] : dependencies) { graph.add_edge(id[u], id[v], INF_LL); } ans -= graph.max_flow(); cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; struct E { int to, i; }; const long long INF = 1e18; const int N = 105, M = 1e5 + 5, V = 2005, Z = 3e6, S = V - 2, T = V - 1; int best[M], pos[M], atk[M], fuel[M], dt[V], p[V]; long long cp[Z], fl[Z], d[N][N], cost[M]; int ce = 0; vector<E> g[V]; vector<pair<int, int>> lt[N]; bool notFree[M], loser[M]; void addEdge(int a, int b, long long c) { cp[ce] = c; g[a].push_back({b, ce++}); cp[ce] = 0; g[b].push_back({a, ce++}); } bool bfs() { queue<int> q; fill(dt, dt + V, -1); dt[S] = 0; q.push(S); while (!q.empty()) { int node = q.front(); q.pop(); for (E e : g[node]) { if (cp[e.i] > fl[e.i] && dt[e.to] == -1) { dt[e.to] = dt[node] + 1; q.push(e.to); } } } return dt[T] != -1; } long long dfs(int node, long long flow) { if (node == T) return flow; for (int &i = p[node]; i < g[node].size(); i++) { E e = g[node][i]; if (cp[e.i] > fl[e.i] && dt[e.to] == dt[node] + 1) { int ret = dfs(e.to, min(flow, cp[e.i] - fl[e.i])); if (ret) { fl[e.i] += ret; fl[e.i ^ 1] -= ret; return ret; } } } return 0; } long long maxFlow() { long long flow = 0; while (bfs()) { memset(p, 0, sizeof(p)); long long ret = 0; while (ret = dfs(S, INF)) { flow += ret; } } return flow; } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { d[i][j] = INF; } d[i][i] = 0; } for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; a--, b--; d[b][a] = d[a][b] = 1; } for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { d[j][k] = min(d[j][i] + d[i][k], d[j][k]); } } } int s, b, k; cin >> s >> b >> k; for (int i = 0; i < s; i++) { cin >> pos[i] >> atk[i] >> fuel[i] >> cost[i]; pos[i]--; } for (int i = 0; i < b; i++) { int pl, def, gold; cin >> pl >> def >> gold; pl--; lt[pl].push_back({def, gold}); } for (int i = 0; i < n; i++) { lt[i].push_back({0, 0}); sort(lt[i].begin(), lt[i].end()); for (int j = 1; j < lt[i].size(); j++) { lt[i][j].second = max(lt[i][j].second, lt[i][j - 1].second); } } for (int i = 0; i < s; i++) { loser[i] = true; for (int j = 0; j < n; j++) { if (d[pos[i]][j] <= fuel[i]) { int q = upper_bound(lt[j].begin(), lt[j].end(), make_pair(atk[i] + 1, -1)) - lt[j].begin(); if (q > 1) loser[i] = false; best[i] = max(best[i], lt[j][q - 1].second); } } } vector<int> vip; vector<pair<int, int>> dep; for (int i = 0; i < k; i++) { int a, b; cin >> a >> b; a--, b--; vip.push_back(a); vip.push_back(b); notFree[a] = notFree[b] = 1; dep.push_back({a, b}); } sort(vip.begin(), vip.end()); vip.erase(unique(vip.begin(), vip.end()), vip.end()); long long ans = 0; for (int i = 0; i < s; i++) { if (!notFree[i] && best[i] > cost[i]) { ans += best[i] - cost[i]; } } for (int i = 0; i < vip.size(); i++) { if (loser[vip[i]]) cost[vip[i]] = INF; addEdge(S, i, cost[vip[i]]); addEdge(i, T, best[vip[i]]); ans += best[vip[i]]; } for (auto e : dep) { e.first = lower_bound(vip.begin(), vip.end(), e.first) - vip.begin(); e.second = lower_bound(vip.begin(), vip.end(), e.second) - vip.begin(); addEdge(e.second, e.first, INF); } ans -= maxFlow(); cout << ans; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize(3) #pragma GCC optimize(2) using namespace std; struct Maxflow { struct edge { int from, to; long long flow, capacity; }; int s, t; vector<edge> edg; vector<int> g[3011]; int dist[3011], visited[3011]; int cur[3011]; void init() { edg.clear(); int i; for (i = 0; i < 3011; i++) { g[i].clear(); } } void addedge(int from, int to, long long capacity) { edge e1 = edge{from, to, 0ll, capacity}; edge e2 = edge{to, from, 0ll, 0ll}; edg.push_back(e1), edg.push_back(e2); g[from].push_back((int)edg.size() - 2); g[to].push_back((int)edg.size() - 1); } bool bfs() { memset(visited, 0, sizeof(visited)); memset(dist, 0, sizeof(dist)); queue<int> q; q.push(s); visited[s] = 1; dist[s] = 0; while (!q.empty()) { int v = q.front(); q.pop(); for (int i = 0; i < (int)g[v].size(); i++) { edge &e = edg[g[v][i]]; int nxt = e.to; if (!visited[nxt] && e.capacity > e.flow) { dist[nxt] = dist[v] + 1; q.push(nxt); visited[nxt] = 1; } } } return visited[t]; } long long dfs(int x, long long cp) { if (x == t || cp == 0) { return cp; } long long flow = 0, newflow; for (int &y = cur[x]; y < (int)g[x].size(); y++) { edge &e = edg[g[x][y]]; if (dist[x] + 1 == dist[e.to]) { long long minn = min(cp, e.capacity - e.flow); newflow = dfs(e.to, minn); if (newflow > 0) { e.flow += newflow; edg[g[x][y] ^ 1].flow -= newflow; flow += newflow; cp -= newflow; if (cp == 0) { break; } } } } return flow; } long long Dinic() { long long flow = 0; while (bfs()) { memset(cur, 0, sizeof(cur)); flow += dfs(s, 1000000000000000); } return flow; } }; Maxflow mf; long long dist[111][111]; int n, m; struct spa { int id, x, a, f, p; bool operator<(spa other) const { return a < other.a; } }; struct base { int d, g; bool operator<(base other) const { return d < other.d; } }; vector<base> G[111]; spa sp[100011]; long long profit[100011]; pair<int, int> relation[3011]; int special[100011]; vector<int> disc; int main() { int i, j, k, S, B; mf.s = 3011 - 2, mf.t = 3011 - 1; scanf("%d%d", &n, &m); for (i = 1; i <= n; ++i) { for (j = 1; j <= n; ++j) { if (i != j) { dist[i][j] = 1000000000000000; } } } for (i = 0; i < 100011; ++i) profit[i] = -1000000000000000; for (i = 1; i <= m; ++i) { int v1, v2; scanf("%d%d", &v1, &v2); dist[v1][v2] = dist[v2][v1] = min(dist[v1][v2], 1ll); } for (k = 1; k <= n; ++k) { for (i = 1; i <= n; ++i) { for (j = 1; j <= n; ++j) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } scanf("%d%d%d", &S, &B, &m); for (i = 1; i <= S; ++i) { scanf("%d%d%d%d", &sp[i].x, &sp[i].a, &sp[i].f, &sp[i].p); sp[i].id = i; } for (i = 1; i <= B; ++i) { int v, d, g; scanf("%d%d%d", &v, &d, &g); G[v].push_back(base{d, g}); } sort(sp + 1, sp + 1 + S); for (i = 1; i <= n; ++i) { sort(G[i].begin(), G[i].end()); long long gold = -1000000000000000; int sz = G[i].size(); for (k = 1, j = 0; k <= S; ++k) { while (j < sz && sp[k].a >= G[i][j].d) { gold = max(gold, (long long)G[i][j].g); ++j; } if (sp[k].f >= dist[i][sp[k].x]) { profit[sp[k].id] = max(profit[sp[k].id], gold - sp[k].p); } } } long long ans = 0, tol = 0; for (i = 1; i <= m; ++i) { scanf("%d%d", &relation[i].first, &relation[i].second); special[relation[i].first] = special[relation[i].second] = 1; } for (i = 1; i <= S; ++i) { if (!special[i] && profit[i] > 0) { ans += profit[i]; } if (special[i]) { disc.push_back(i); } } for (i = 0; i < (int)disc.size(); ++i) { if (profit[disc[i]] < 0) { mf.addedge(i, mf.t, -profit[disc[i]]); } else { mf.addedge(mf.s, i, profit[disc[i]]); tol += profit[disc[i]]; } } for (i = 1; i <= m; ++i) { if (binary_search(disc.begin(), disc.end(), relation[i].first) && binary_search(disc.begin(), disc.end(), relation[i].second)) { int id1 = lower_bound(disc.begin(), disc.end(), relation[i].first) - disc.begin(); int id2 = lower_bound(disc.begin(), disc.end(), relation[i].second) - disc.begin(); mf.addedge(id1, id2, 1000000000000000); } } ans = ans + tol - mf.Dinic(); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long n, m; cin >> n >> m; vector<vector<long long>> dist((size_t)n, vector<long long>((size_t)n, (long long)1e16)); for (long long i = 0; i < n; i++) { dist[i][i] = (long long)0; } for (long long i = 0; i < m; i++) { long long u, v; cin >> u >> v; u--, v--; dist[u][v] = dist[v][u] = 0; } for (long long k = 0; k < n; k++) { for (long long i = 0; i < n; i++) { for (long long j = 0; j < n; j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } long long s, b, k; cin >> s >> b >> k; vector<tuple<long long, long long, long long, long long>> x((size_t)s); for (long long i = 0; i < s; i++) { cin >> get<0>(x[i]) >> get<1>(x[i]) >> get<2>(x[i]) >> get<3>(x[i]); get<0>(x[i])--; } vector<tuple<long long, long long, long long>> y((size_t)b); for (long long i = 0; i < b; i++) { cin >> get<0>(y[i]) >> get<1>(y[i]) >> get<2>(y[i]); get<0>(y[i])--; } vector<map<long long, long long>> bases((size_t)n); for (long long i = 0; i < b; i++) { bases[get<0>(y[i])][get<1>(y[i])] = get<2>(y[i]); } for (long long i = 0; i < n; i++) { for (auto j = bases[i].begin(); j != bases[i].end();) { if (j == bases[i].begin() || j->second > prev(j)->second) { j++; } else { j = bases[i].erase(j); } } } vector<long long> damages((size_t)s, (long long)-1e16); for (long long i = 0; i < s; i++) { for (long long j = 0; j < n; j++) { if (get<2>(x[i]) >= dist[get<0>(x[i])][j]) { auto it = bases[j].upper_bound(get<1>(x[i])); if (it != bases[j].begin()) { damages[i] = max(damages[i], prev(it)->second - get<3>(x[i])); } } } } vector<vector<long long>> init_adj((size_t)s), init_adj_rev((size_t)s); vector<vector<pair<long long, long long>>> adj((size_t)s + 2); vector<map<long long, long long>> flows((size_t)s + 2); auto add_edge = [&](long long u, long long v, long long w) { adj[u].emplace_back(v, w); adj[v].emplace_back(u, 0); flows[u][v] = 0; flows[v][u] = 0; }; for (long long i = 0; i < k; i++) { long long u, v; cin >> u >> v; u--, v--; if (u != v) { init_adj[u].push_back(v); init_adj_rev[v].push_back(u); add_edge(u, v, (long long)1e16); } } long long o = 0; for (long long u = 0; u < s; u++) { o += max(damages[u], (long long)0); if (damages[u] > 0) { if (!init_adj[u].empty()) { add_edge(s, u, damages[u]); } } else { if (!init_adj_rev[u].empty()) { add_edge(u, s + 1, -damages[u]); } } } vector<bool> visited; vector<long long> path; function<long long(long long)> visit = [&](long long u) { if (!visited[u]) { visited[u] = true; path.push_back(u); if (u == s + 1) { return (long long)1e16; } else { for (auto [v, w] : adj[u]) { if (w - flows[u][v] > 0) { long long a = visit(v); if (a > 0) { return min(w - flows[u][v], a); } } } } path.pop_back(); } return (long long)0; }; while (true) { visited.assign((long long)s + 2, false); path.clear(); long long a = visit(s); if (a > 0) { for (long long i = 1; i < (long long)path.size(); i++) { flows[path[i - 1]][path[i]] += a; flows[path[i]][path[i - 1]] -= a; } o -= a; } else { break; } } cout << o << endl; return 0; }
#include <bits/stdc++.h> using namespace std; mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count()); const int N = (int)(1e5) + 7; vector<int> gr[N]; vector<int> ingr[N]; vector<pair<int, int> > guys[N]; vector<int> pref[N]; const int MAXN = 1e5; const int INF = 1000000007; struct edge { int a, b, cap, flow; }; int n, s, t, d[MAXN], ptr[MAXN], q[MAXN]; vector<edge> e; vector<int> g[MAXN]; void add_edge(int a, int b, int cap) { edge e1 = {a, b, cap, 0}; edge e2 = {b, a, 0, 0}; g[a].push_back((int)e.size()); e.push_back(e1); g[b].push_back((int)e.size()); e.push_back(e2); } bool bfs() { int qh = 0, qt = 0; q[qt++] = s; memset(d, -1, n * sizeof d[0]); d[s] = 0; while (qh < qt && d[t] == -1) { int v = q[qh++]; for (size_t i = 0; i < g[v].size(); ++i) { int id = g[v][i], to = e[id].b; if (d[to] == -1 && e[id].flow < e[id].cap) { q[qt++] = to; d[to] = d[v] + 1; } } } return d[t] != -1; } int dfs(int v, int flow) { if (!flow) return 0; if (v == t) return flow; for (; ptr[v] < (int)g[v].size(); ++ptr[v]) { int id = g[v][ptr[v]], to = e[id].b; if (d[to] != d[v] + 1) continue; int pushed = dfs(to, min(flow, e[id].cap - e[id].flow)); if (pushed) { e[id].flow += pushed; e[id ^ 1].flow -= pushed; return pushed; } } return 0; } long long dinic() { long long flow = 0; for (;;) { if (!bfs()) break; memset(ptr, 0, n * sizeof ptr[0]); while (int pushed = dfs(s, INF)) flow += pushed; } return flow; } int main() { ios::sync_with_stdio(0); cin.tie(0); long long ans = 0; vector<int> id; vector<int> cost; vector<pair<int, int> > go; { int n, m; cin >> n >> m; int inf = (int)(1e9) + 7; vector<vector<int> > g(n, vector<int>(n, inf)); for (int i = 0; i < n; i++) g[i][i] = 0; for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; a--, b--; g[a][b] = g[b][a] = 1; } for (int k = 0; k < n; k++) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { g[i][j] = min(g[i][j], g[i][k] + g[k][j]); } } } int s, b, k; cin >> s >> b >> k; vector<int> x(s), a(s), f(s), p(s); for (int i = 0; i < s; i++) { cin >> x[i] >> a[i] >> f[i] >> p[i]; x[i]--; } vector<int> y(b), d(b), gold(b); for (int i = 0; i < b; i++) { cin >> y[i] >> d[i] >> gold[i]; y[i]--; guys[y[i]].push_back({d[i], gold[i]}); } for (int i = 0; i < n; i++) { sort(guys[i].begin(), guys[i].end()); pref[i].resize(guys[i].size()); for (int j = 0; j < (int)pref[i].size(); j++) { pref[i][j] = guys[i][j].second; if (j) pref[i][j] = max(pref[i][j], pref[i][j - 1]); } } vector<bool> alive(s); vector<int> score(s); for (int i = 0; i < s; i++) { vector<int> ok; for (int j = 0; j < n; j++) { if (g[x[i]][j] <= f[i]) { int ind = upper_bound(guys[j].begin(), guys[j].end(), make_pair(a[i], inf)) - guys[j].begin() - 1; if (ind >= 0) { ok.push_back(pref[j][ind]); } } } if (!ok.empty()) { score[i] = *max_element(ok.begin(), ok.end()) - p[i]; alive[i] = true; } } vector<bool> in_edge(s); vector<pair<int, int> > edges; for (int i = 0; i < k; i++) { int u, v; cin >> u >> v; u--, v--; in_edge[u] = in_edge[v] = true; edges.push_back({u, v}); } bool ch = true; while (ch) { ch = false; for (auto c : edges) { if (!alive[c.second] && alive[c.first]) { ch = true; alive[c.first] = false; } } } for (int i = 0; i < s; i++) { if (!in_edge[i]) { ans += max(0, score[i]); } } for (int i = 0; i < s; i++) { if (in_edge[i] && alive[i]) { id.push_back(i); cost.push_back(score[i]); } } for (auto c : edges) { if (!alive[c.first] || !alive[c.second]) { continue; } int u = lower_bound(id.begin(), id.end(), c.first) - id.begin(); int v = lower_bound(id.begin(), id.end(), c.second) - id.begin(); go.push_back({u, v}); } } n = 2 + id.size(); s = id.size(); t = id.size() + 1; for (auto c : go) { add_edge(c.first, c.second, INF); } for (int i = 0; i < (int)id.size(); i++) { if (cost[i] >= 0) { ans += cost[i]; add_edge(s, i, cost[i]); } else { add_edge(i, t, -cost[i]); } } cout << ans - dinic() << '\n'; }
#include <bits/stdc++.h> using namespace std; template <class T> void chkmax(T &a, T b) { if (a < b) a = b; } vector<int> v[105]; vector<int> vs[105], vb[105]; int n, m; int nn, mm, kk; int f[100005], d[100005], g[100005], a[100005], x[100005], y[100005], p[100005]; bool cmpf(int x, int y) { return f[x] < f[y]; } int dd[105]; int fen[100005 << 1]; int val[100005 << 1], vals; void update(int k, int v) { for (; k <= vals; k += k & -k) { chkmax(fen[k], v); } return; } const int inf = 0x3f3f3f3f; int calc_mx(int k) { int res = -inf; for (; k; k -= k & -k) { chkmax(res, fen[k]); } return res; } void update(int k) { for (auto x : vb[k]) { update(d[x], g[x]); } } int rd[100005]; void solve(int k) { memset(dd, -1, sizeof dd); memset(fen, -1, sizeof fen); vector<int> A, B; A.push_back(k); int now = 0; update(k); int tot = 1; int t = 0; while (t < vs[k].size() && f[vs[k][t]] == 0) { int kk = vs[k][t]; chkmax(rd[kk], calc_mx(a[kk])); t++; } while (!A.empty() && t < vs[k].size()) { B.clear(); now++; for (auto x : A) { for (auto y : v[x]) { if (dd[y] < 0) { B.push_back(y); update(y); dd[y] = dd[x] + 1; } } } tot += B.size(); while (t < vs[k].size() && f[vs[k][t]] == now) { int kk = vs[k][t]; chkmax(rd[kk], calc_mx(a[kk])); t++; } A.swap(B); } while (t < vs[k].size()) { int kk = vs[k][t]; chkmax(rd[kk], calc_mx(a[kk])); t++; } return; } vector<int> vv[100005]; bool vd[100005], vis[100005]; void dfs(int k) { vd[k] = 1; vis[k] = 1; for (auto x : vv[k]) { if (vd[x]) continue; dfs(x); } return; } map<int, int> H; int tot; const long long linf = 1e16; struct Dinic { struct edge { int u, v; long long cap, flow; edge() {} edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; int n; vector<edge> E; vector<vector<int> > g; vector<int> d, pt; Dinic(int n) : n(n), E(0), g(n), d(n), pt(n) {} Dinic() {} void init(int _n) { n = _n; g.resize(n); d.resize(n); E.resize(0); pt.resize(n); for (int i = 0; i < n; i++) g[i].clear(); } void add_edge(int u, int v, long long cap) { if (u != v) { E.push_back(edge(u, v, cap)); g[u].push_back(E.size() - 1); E.push_back(edge(v, u, 0)); g[v].push_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q; q.push(S); fill(d.begin(), d.end(), n + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int i = 0; i < g[u].size(); i++) { int k = g[u][i]; edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.push(e.v); } } } return d[T] != n + 1; } long long DFS(int u, int T, long long flow = -1) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { edge &e = E[g[u][i]]; edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = e.cap - e.flow; if (flow != -1 && amt > flow) amt = flow; if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long maxflow(int S, int T) { long long res = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) res += flow; } return res; } } A; long long tot_sum; bool vvis[100005]; void add_edge(int x, int y) { vvis[x] = vvis[y] = 1; if (!H.count(x)) { H[x] = ++tot; int t = rd[x] - p[x]; if (t < 0) A.add_edge(tot, 1, -t); else A.add_edge(0, tot, t), tot_sum += t; } if (!H.count(y)) { H[y] = ++tot; int t = rd[y] - p[y]; if (t < 0) A.add_edge(tot, 1, -t); else A.add_edge(0, tot, t), tot_sum += t; } A.add_edge(H[x], H[y], linf); } int main() { memset(rd, -1, sizeof rd); scanf("%d %d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d %d", &x, &y); v[x].push_back(y); v[y].push_back(x); } scanf("%d %d %d", &nn, &mm, &kk); for (int i = 1; i <= nn; i++) { scanf("%d %d %d %d", &x[i], &a[i], &f[i], &p[i]); if (f[i] >= n) f[i] = n - 1; val[vals++] = a[i]; vs[x[i]].push_back(i); } for (int i = 1; i <= mm; i++) { scanf("%d %d %d", &y[i], &d[i], &g[i]); vb[y[i]].push_back(i); val[vals++] = d[i]; } sort(val, val + vals); vals = unique(val, val + vals) - val; for (int i = 1; i <= nn; i++) { a[i] = lower_bound(val, val + vals, a[i]) - val + 1; } for (int i = 1; i <= mm; i++) { d[i] = lower_bound(val, val + vals, d[i]) - val + 1; } for (int i = 1; i <= n; i++) sort(vs[i].begin(), vs[i].end(), cmpf); for (int i = 1; i <= n; i++) if (!vs[i].empty()) solve(i); for (int i = 1; i <= nn; i++) if (rd[i] < 0) vis[i] = 1; while (kk--) { int x, y; scanf("%d %d", &x, &y); vv[y].push_back(x); } for (int i = 1; i <= nn; i++) if (vis[i] && !vd[i]) dfs(i); A.init(3000); tot = 1; for (int i = 1; i <= nn; i++) if (!vis[i]) { for (auto x : vv[i]) if (!vis[x]) { add_edge(x, i); } } long long flow = A.maxflow(0, 1); flow = tot_sum - flow; for (int i = 1; i <= nn; i++) if (!vvis[i] && !vis[i] && rd[i] - p[i] > 0) flow += rd[i] - p[i]; printf("%I64d\n", flow); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; template <class t, class u> void chmax(t& first, u second) { if (first < second) first = second; } template <class t, class u> void chmin(t& first, u second) { if (second < first) first = second; } template <class t> using vc = vector<t>; template <class t> using vvc = vc<vc<t>>; using pi = pair<ll, ll>; using vi = vc<ll>; template <class t, class u> ostream& operator<<(ostream& os, const pair<t, u>& p) { return os << "{" << p.first << "," << p.second << "}"; } template <class t> ostream& operator<<(ostream& os, const vc<t>& v) { os << "{"; for (auto e : v) os << e << ","; return os << "}"; } const ll inf = LLONG_MAX / 3; template <class d> struct maxflow { struct E { ll to, rev; d cap; }; vvc<E> g; vi itr, lv; maxflow(ll n) : g(n), itr(n), lv(n) {} void ae(ll s, ll t, d c) { g[s].push_back({t, (ll)g[t].size(), c}); g[t].push_back({s, (ll)g[s].size() - 1, 0}); } void bfs(ll s) { fill(lv.begin(), lv.end(), -1); lv[s] = 0; queue<ll> q; q.push(s); while (q.size()) { ll v = q.front(); q.pop(); for (auto e : g[v]) if (e.cap > 0 && lv[e.to] == -1) { lv[e.to] = lv[v] + 1; q.push(e.to); } } } d dfs(ll v, ll t, d f) { if (v == t) return f; d res = 0; for (ll& i = itr[v]; i < (ll)g[v].size(); i++) { E& e = g[v][i]; if (e.cap > 0 && lv[e.to] == lv[v] + 1) { d first = dfs(e.to, t, min(f, e.cap)); if (first > 0) { e.cap -= first; g[e.to][e.rev].cap += first; res += first; f -= first; if (f <= 0) break; } } } return res; } d calc(ll s, ll t) { d f = 0; while (1) { bfs(s); if (lv[t] == -1) return f; fill(itr.begin(), itr.end(), 0); f += dfs(s, t, 1e9); } } }; void sub(vi pro, ll k) { ll n = pro.size(); vi iso(n, 1); vc<pi> es; for (ll _ = ll(0); _ < ll(k); _++) { ll first, second; cin >> first >> second; first--; second--; es.emplace_back(first, second); iso[first] = 0; iso[second] = 0; } ll base = 0; vi idx; for (ll i = ll(0); i < ll(n); i++) if (iso[i]) { base += max(ll(0), pro[i]); } else { idx.push_back(i); } ll s = idx.size(); maxflow<ll> mcf(1 + s + 1); for (ll i = ll(0); i < ll(s); i++) { if (pro[idx[i]] > 0) { base += pro[idx[i]]; mcf.ae(0, 1 + i, pro[idx[i]]); } else { mcf.ae(1 + i, 1 + s, -pro[idx[i]]); } } for (auto e : es) { ll first = lower_bound(idx.begin(), idx.end(), e.first) - idx.begin(); ll second = lower_bound(idx.begin(), idx.end(), e.second) - idx.begin(); mcf.ae(1 + first, 1 + second, inf); } cout << base - mcf.calc(0, 1 + s) << endl; } signed main() { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); ll n, m; cin >> n >> m; vvc<ll> dist(n, vi(n, inf)); for (ll i = ll(0); i < ll(n); i++) dist[i][i] = 0; for (ll _ = ll(0); _ < ll(m); _++) { ll first, second; cin >> first >> second; first--; second--; dist[first][second] = 1; dist[second][first] = 1; } for (ll k = ll(0); k < ll(n); k++) for (ll i = ll(0); i < ll(n); i++) for (ll j = ll(0); j < ll(n); j++) chmin(dist[i][j], dist[i][k] + dist[k][j]); ll s, second, k; cin >> s >> second >> k; vc<tuple<ll, ll, ll, ll>> xafp; for (ll i = ll(0); i < ll(s); i++) { ll x, first, f, p; cin >> x >> first >> f >> p; x--; xafp.emplace_back(x, first, f, p); } vc<tuple<ll, ll, ll>> xdg; for (ll i = ll(0); i < ll(second); i++) { ll x, d, g; cin >> x >> d >> g; x--; xdg.emplace_back(x, d, g); } vc<pi> ord; for (ll i = ll(0); i < ll(s); i++) ord.emplace_back(get<1>(xafp[i]), second + i); for (ll i = ll(0); i < ll(second); i++) ord.emplace_back(get<1>(xdg[i]), i); vi pro(s); vi mxg(n, -inf); sort(ord.begin(), ord.end()); for (auto kv : ord) { ll i = kv.second; if (i < second) { chmax(mxg[get<0>(xdg[i])], get<2>(xdg[i])); } else { i -= second; ll x, first, f, p; tie(x, first, f, p) = xafp[i]; ll mx = -inf; for (ll j = ll(0); j < ll(n); j++) if (dist[x][j] <= f) chmax(mx, mxg[j]); pro[i] = mx - p; } } sub(pro, k); }
#include <bits/stdc++.h> using namespace std; const int max_n = 111, inf = 1000111222; const int max_v = 100011; namespace flow { struct edge { int v; long long res_cap; edge() {} edge(int v, long long res_cap) : v(v), res_cap(res_cap) {} }; vector<edge> all; vector<int> g[max_v]; void add_edge(int u, int v, long long cap) { g[u].push_back(all.size()); all.push_back({v, cap}); g[v].push_back(all.size()); all.push_back({u, 0}); } int h[max_v], num[max_v]; bool bfs(int s, int t) { for (int i = 0; i <= t; ++i) { h[i] = -1; } h[s] = 0; queue<int> q; q.push(s); while (!q.empty()) { int v = q.front(); q.pop(); for (int id : g[v]) { if (all[id].res_cap && h[all[id].v] == -1) { h[all[id].v] = h[v] + 1; q.push(all[id].v); } } } return h[t] != -1; } int dfs(int v, int t, int f) { if (v == t) { return f; } for (int &i = num[v]; i < g[v].size(); ++i) { int id = g[v][i]; const edge &e = all[id]; if (h[v] + 1 == h[e.v] && e.res_cap) { int x = dfs(e.v, t, min(1LL * f, e.res_cap)); if (x) { all[id].res_cap -= x; all[id ^ 1].res_cap += x; return x; } } } return 0; } long long dinic(int s, int t) { long long res = 0; while (bfs(s, t)) { memset(num, 0, sizeof(num)); while (int x = dfs(s, t, 2 * inf)) { res += x; } } return res; } } // namespace flow int n, m, dist[max_n][max_n]; int c1, c2, k; int v1[max_v], attack[max_v], fluel[max_v], cost1[max_v], a[max_v]; int v2[max_v], defend[max_v], cost2[max_v], U[max_v], V[max_v], bad[max_v]; vector<pair<int, int>> all[max_n]; vector<int> rg[max_v]; void dfs(int v) { bad[v] = 1; for (int to : rg[v]) { if (!bad[to]) { dfs(to); } } } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { dist[i][j] = inf; } dist[i][i] = 0; } while (m--) { int u, v; scanf("%d%d", &u, &v); --u; --v; dist[u][v] = 1; dist[v][u] = 1; } for (int k = 0; k < n; ++k) { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } scanf("%d%d%d", &c1, &c2, &k); for (int i = 0; i < c1; ++i) { scanf("%d%d%d%d", &v1[i], &attack[i], &fluel[i], &cost1[i]); --v1[i]; } for (int i = 0; i < c2; ++i) { scanf("%d%d%d", &v2[i], &defend[i], &cost2[i]); --v2[i]; all[v2[i]].push_back({defend[i], cost2[i]}); } for (int i = 0; i < n; ++i) { sort(all[i].begin(), all[i].end()); for (int j = 1; j < all[i].size(); ++j) { all[i][j].second = max(all[i][j].second, all[i][j - 1].second); } } for (int i = 0; i < c1; ++i) { a[i] = -inf; for (int v = 0; v < n; ++v) { if (dist[v1[i]][v] > fluel[i]) { continue; } auto it = upper_bound(all[v].begin(), all[v].end(), make_pair(attack[i], inf)); if (it != all[v].begin()) { --it; a[i] = max(a[i], it->second); } } if (a[i] != -inf) { a[i] -= cost1[i]; } else { bad[i] = 1; } } int s = c1, t = s + 1; long long big_inf = 10001112LL * inf; for (int i = 0; i < k; ++i) { scanf("%d%d", &U[i], &V[i]); --U[i]; --V[i]; rg[V[i]].push_back(U[i]); } for (int i = 0; i < c1; ++i) { if (bad[i]) { dfs(i); } } long long ans = 0; for (int i = 0; i < c1; ++i) { if (!bad[i]) { flow::add_edge(s, i, inf + a[i]); flow::add_edge(i, t, inf); ans -= a[i] + inf; } } for (int i = 0; i < k; ++i) { if (!bad[U[i]] && !bad[V[i]]) { flow::add_edge(U[i], V[i], big_inf); } } ans += flow::dinic(s, t); printf("%I64d\n", -ans); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int tav[109][109]; int s, b, KK; long long legjobb[109][109]; long long profit[100009]; long long infi = 1e18; struct BaseShip { int lo; int pwr; int fuel; int cost; int tp; int idx; bool operator<(const BaseShip& BS) const { if (pwr == BS.pwr) { return tp < BS.tp; } return pwr < BS.pwr; } }; vector<BaseShip> t; void javit(BaseShip& BS) { for (int i = 1; i <= n; i++) { if (tav[i][BS.lo] >= 0) { legjobb[i][tav[i][BS.lo]] = max(legjobb[i][tav[i][BS.lo]], (long long)BS.cost); } } } long long ertek(BaseShip& BS) { long long ret = -infi; for (int dd = 0; dd <= min(n - 1, BS.fuel); dd++) { ret = max(ret, (long long)legjobb[BS.lo][dd]); } return ret; } vector<int> G[100009]; vector<long long> cap[100009]; vector<long long> flow[100009]; vector<int> holvan[100009]; int bejar[100009]; int bejarszam; int apa[100009]; int apael[100009]; long long profitsum = 0; int sor[100009]; long long FF() { long long ret = 0; int start = 0; int sk; int sv; while (1) { sk = 1; sv = 1; sor[1] = start; bejarszam++; bejar[start] = bejarszam; apa[start] = -1; apael[start] = -1; while (sk <= sv) { int akt = sor[sk]; for (int i = 0; i < G[akt].size(); i++) { int sz = G[akt][i]; long long cc = cap[akt][i]; if (bejar[sz] == bejarszam) continue; if (cc == flow[akt][i]) continue; sv++; sor[sv] = sz; apa[sz] = akt; apael[sz] = i; bejar[sz] = bejarszam; } sk++; } if (bejar[s + 1] < bejarszam) break; long long maxpush = infi; int akt = s + 1; while (akt != 0) { if (cap[apa[akt]][apael[akt]] == 0) { maxpush = min(maxpush, flow[apa[akt]][apael[akt]]); } else { maxpush = min(maxpush, cap[apa[akt]][apael[akt]] - flow[apa[akt]][apael[akt]]); } akt = apa[akt]; } akt = s + 1; while (akt != 0) { if (cap[apa[akt]][apael[akt]] == 0) { flow[apa[akt]][apael[akt]] -= maxpush; flow[akt][holvan[apa[akt]][apael[akt]]] -= maxpush; } else { flow[apa[akt]][apael[akt]] += maxpush; flow[akt][holvan[apa[akt]][apael[akt]]] += maxpush; } akt = apa[akt]; } ret += maxpush; } return ret; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { tav[i][j] = -1; } tav[i][i] = 0; } for (int i = 1; i <= m; i++) { int a, b; cin >> a >> b; if (a != b) { tav[a][b] = 1; tav[b][a] = 1; } } for (int k = 1; k <= n; k++) { for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { if (tav[i][k] >= 0 && tav[k][j] >= 0) { if (tav[i][j] == -1 || tav[i][j] > tav[i][k] + tav[k][j]) tav[i][j] = tav[i][k] + tav[k][j]; } } } } for (int i = 1; i <= n; i++) { for (int j = 0; j <= n; j++) { legjobb[i][j] = -infi; } } cin >> s >> b >> KK; t.resize(s + b); for (int i = 0; i < s; i++) { cin >> t[i].lo >> t[i].pwr >> t[i].fuel >> t[i].cost; t[i].tp = 1; t[i].idx = i + 1; } for (int i = s; i < s + b; i++) { cin >> t[i].lo >> t[i].pwr >> t[i].cost; t[i].tp = 0; } sort(t.begin(), t.end()); for (int i = 0; i < t.size(); i++) { if (t[i].tp == 0) { javit(t[i]); } else { profit[t[i].idx] = ertek(t[i]) - t[i].cost; if (profit[t[i].idx] >= 0) { profitsum += profit[t[i].idx]; } } } for (int i = 1; i <= KK; i++) { int s1, s2; cin >> s1 >> s2; if (s1 == s2) continue; holvan[s1].push_back(G[s2].size()); holvan[s2].push_back(G[s1].size()); G[s1].push_back(s2); G[s2].push_back(s1); cap[s1].push_back(infi); cap[s2].push_back(0); flow[s1].push_back(0); flow[s2].push_back(0); } for (int i = 1; i <= s; i++) { if (G[i].size() == 0) continue; if (profit[i] >= 0) { holvan[0].push_back(G[i].size()); holvan[i].push_back(G[0].size()); G[0].push_back(i); G[i].push_back(0); cap[0].push_back(profit[i]); cap[i].push_back(0); flow[0].push_back(0); flow[i].push_back(0); } else { holvan[s + 1].push_back(G[i].size()); holvan[i].push_back(G[s + 1].size()); G[s + 1].push_back(i); G[i].push_back(s + 1); cap[s + 1].push_back(0); cap[i].push_back(-profit[i]); flow[s + 1].push_back(0); flow[i].push_back(0); } } long long mincut = FF(); cout << profitsum - mincut << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 105; const int Inf = 1000000000; const int Maxs = 100005; int n, m; int dist[Maxn][Maxn]; int S, B, K; int ax[Maxs], ay[Maxs], az[Maxs], ap[Maxs]; deque<pair<int, int> > inbase[Maxn]; bool fall[Maxs]; int gain[Maxs]; vector<int> rneigh[Maxs], neigh[Maxs]; long long res; const int MAXN = 2005; const int INF = 1000000000; struct edge { int a, b, cap, flow; }; int N, s, t, d[MAXN], ptr[MAXN], q[MAXN]; vector<edge> e; vector<int> g[MAXN]; void add_edge(int a, int b, int cap) { edge e1 = {a, b, cap, 0}; edge e2 = {b, a, 0, 0}; g[a].push_back((int)e.size()); e.push_back(e1); g[b].push_back((int)e.size()); e.push_back(e2); } bool bfs() { int qh = 0, qt = 0; q[qt++] = s; memset(d, -1, N * sizeof d[0]); d[s] = 0; while (qh < qt && d[t] == -1) { int v = q[qh++]; for (size_t i = 0; i < g[v].size(); ++i) { int id = g[v][i], to = e[id].b; if (d[to] == -1 && e[id].flow < e[id].cap) { q[qt++] = to; d[to] = d[v] + 1; } } } return d[t] != -1; } int dfs(int v, int flow) { if (!flow) return 0; if (v == t) return flow; for (; ptr[v] < (int)g[v].size(); ++ptr[v]) { int id = g[v][ptr[v]], to = e[id].b; if (d[to] != d[v] + 1) continue; int pushed = dfs(to, min(flow, e[id].cap - e[id].flow)); if (pushed) { e[id].flow += pushed; e[id ^ 1].flow -= pushed; return pushed; } } return 0; } long long dinic() { long long flow = 0; for (;;) { if (!bfs()) break; memset(ptr, 0, N * sizeof ptr[0]); while (int pushed = dfs(s, INF)) flow += pushed; } return flow; } bool Less(const pair<int, int> &a, const pair<int, int> &b) { if (a.first != b.first) return a.first < b.first; return a.second > b.second; } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) if (i != j) dist[i][j] = Inf; for (int i = 0; i < m; i++) { int a, b; scanf("%d %d", &a, &b); if (a != b) dist[a][b] = dist[b][a] = 1; } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); scanf("%d %d %d", &S, &B, &K); vector<pair<int, int> > byattack; for (int i = 0; i < S; i++) { scanf("%d %d %d %d", &ax[i], &ay[i], &az[i], &ap[i]); byattack.push_back(pair<int, int>(ay[i], i)); } sort(byattack.begin(), byattack.end()); for (int i = 0; i < B; i++) { int x, d, g; scanf("%d %d %d", &x, &d, &g); inbase[x].push_back(pair<int, int>(d, g)); } for (int i = 1; i <= n; i++) { sort(inbase[i].begin(), inbase[i].end(), Less); deque<pair<int, int> > tmp; int lst = -1; for (int j = 0; j < inbase[i].size(); j++) { pair<int, int> p = inbase[i][j]; if (p.second > lst) { tmp.push_back(p); lst = p.second; } } inbase[i] = tmp; } for (int i = 0; i < byattack.size(); i++) { int ind = byattack[i].second; int tk = -1; for (int j = 1; j <= n; j++) if (dist[ax[ind]][j] <= az[ind]) { while (inbase[j].size() >= 2 && inbase[j][1].first <= ay[ind]) inbase[j].pop_front(); if (inbase[j].empty()) continue; if (inbase[j][0].first <= ay[ind]) tk = max(tk, inbase[j][0].second); } if (tk == -1) fall[ind] = true; else gain[ind] = tk - ap[ind]; } for (int i = 0; i < K; i++) { int a, b; scanf("%d %d", &a, &b); a--; b--; neigh[a].push_back(b); rneigh[b].push_back(a); } vector<int> Q; for (int i = 0; i < S; i++) if (fall[i]) Q.push_back(i); for (int i = 0; i < Q.size(); i++) { int v = Q[i]; for (int j = 0; j < rneigh[v].size(); j++) { int u = rneigh[v][j]; if (!fall[u]) { fall[u] = true; Q.push_back(u); } } } vector<int> un; for (int i = 0; i < S; i++) if (!fall[i]) if (rneigh[i].empty() && neigh[i].empty()) res += max(gain[i], 0); else un.push_back(i); N = int(un.size()) + 2; s = 0, t = N - 1; for (int i = 0; i < un.size(); i++) { int v = un[i]; if (gain[v] >= 0) { res += gain[v]; add_edge(s, i + 1, gain[v]); } else add_edge(i + 1, t, -gain[v]); for (int j = 0; j < neigh[v].size(); j++) { int u = neigh[v][j]; int ind = lower_bound(un.begin(), un.end(), u) - un.begin(); add_edge(i + 1, ind + 1, INF); } } res -= dinic(); cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct Dinic { struct Edge { long long flow; int to, next; }; vector<Edge> edges; vector<int> adia, at, dist; int S, D; void add_Edge(int from, int to, long long cap) { edges.push_back({cap, to, adia[from]}); adia[from] = edges.size() - 1; edges.push_back({0, from, adia[to]}); adia[to] = edges.size() - 1; } bool bfs() { queue<int> q; fill(dist.begin(), dist.end(), 1e9); dist[S] = 0; q.push(S); while (!q.empty()) { int x = q.front(); q.pop(); for (int i = adia[x]; i != -1; i = edges[i].next) { if (dist[edges[i].to] > dist[x] + 1 && edges[i].flow) { dist[edges[i].to] = 1 + dist[x]; q.push(edges[i].to); } } } return dist[D] < 1e9; } long long dfs(int nod, long long fmax) { if (nod == D) return fmax; while (at[nod] != -1) { Edge &e = edges[at[nod]]; long long f; if (dist[e.to] == dist[nod] + 1 && e.flow && (f = dfs(e.to, min(fmax, e.flow)))) { e.flow -= f; edges[at[nod] ^ 1].flow += f; return f; } at[nod] = edges[at[nod]].next; } return 0; } long long GetFlow() { long long f = 0; while (bfs()) { at = adia; while (long long x = dfs(S, 1e18)) f += x; } return f; } Dinic(int n = 0, int s = 0, int d = 0) { S = s, D = d; at = dist = adia = vector<int>(n + 1, -1); } }; const int NMAX = 110; int dmin[NMAX][NMAX]; struct Object { int cost, nod, power, id, fuel, atac; }; vector<Object> ships, bases; vector<pair<int, int>> dependencies; int n; int best_cost[NMAX]; void get_cost_nave() { fill(best_cost, best_cost + n + 1, -1); vector<int> nv(ships.size()); iota(nv.begin(), nv.end(), 0); sort(nv.begin(), nv.end(), [](int a, int b) { return ships[a].power < ships[b].power; }); sort(bases.begin(), bases.end(), [](Object a, Object b) { return a.power < b.power; }); int it = 0; for (auto i : nv) { while (it != bases.size() && ships[i].power >= bases[it].power) { best_cost[bases[it].nod] = max(best_cost[bases[it].nod], bases[it].cost); it++; } int best = -1; for (int nod = 1; nod <= n; nod++) if (dmin[nod][ships[i].nod] <= ships[i].fuel) best = max(best, best_cost[nod]); ships[i].atac = best; } } void read() { int m, a, b; scanf("%d%d", &n, &m); fill(dmin[0], dmin[n + 1], 1e9); for (int i = 1; i <= n; i++) dmin[i][i] = 0; while (m--) { scanf("%d%d", &a, &b); dmin[a][b] = dmin[b][a] = 1; } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dmin[i][j] = min(dmin[i][j], dmin[i][k] + dmin[k][j]); int s, k; scanf("%d%d%d", &s, &b, &k); ships.resize(s); bases.resize(b); dependencies.resize(k); for (auto &i : ships) { scanf("%d%d%d%d", &i.nod, &i.power, &i.fuel, &i.cost); i.fuel = min(i.fuel, 1000000); } for (auto &i : bases) scanf("%d%d%d", &i.nod, &i.power, &i.cost); for (auto &i : dependencies) scanf("%d%d", &i.first, &i.second); } int main() { read(); get_cost_nave(); long long ans = 0; int cnt = 2, S = 1, D = 2; const long long inf = 1e18; for (auto &i : dependencies) { i.first--, i.second--; if (!ships[i.first].id) ships[i.first].id = ++cnt; if (!ships[i.second].id) ships[i.second].id = ++cnt; } Dinic flow(cnt + 1, S, D); for (auto i : ships) { if (i.id) { if (i.atac == -1) flow.add_Edge(i.id, D, inf); else { int castig = i.atac - i.cost; if (castig > 0) { ans += castig; flow.add_Edge(S, i.id, castig); } else flow.add_Edge(i.id, D, -castig); } } else ans += max(0, i.atac - i.cost); } for (auto i : dependencies) flow.add_Edge(ships[i.first].id, ships[i.second].id, inf); ans -= flow.GetFlow(); cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") using namespace std; const long long INF = 0x3f3f3f3f3f3f3f3fll; const double eps = 1e-9; template <typename T> typename enable_if<!is_integral<T>::value, void>::type read(T &x) { cin >> x; } long long read() { char c; long long out = 0, f = 1; for (c = getchar(); !isdigit(c) && c != '-'; c = getchar()) ; if (c == '-') { f = -1; c = getchar(); } for (; isdigit(c); c = getchar()) out = (out << 3) + (out << 1) + c - '0'; return out * f; } template <typename T> typename enable_if<is_integral<T>::value, T>::type read(T &x) { char c; T f = 1; x = 0; for (c = getchar(); !isdigit(c) && c != '-'; c = getchar()) ; if (c == '-') { f = -1; c = getchar(); } for (; isdigit(c); c = getchar()) x = (x << 3) + (x << 1) + c - '0'; return x *= f; } char read(char &x) { for (x = getchar(); isspace(x); x = getchar()) ; return x; } double read(double &x) { scanf("%lf", &x); return x; } void read(char *x) { scanf("%s", x); } template <typename T> typename enable_if<!is_integral<T>::value, void>::type write(const T &x) { cout << x; } template <typename T> typename enable_if<is_integral<T>::value, void>::type write(const T &x) { if (x < 0) { putchar('-'); write(-x); return; } if (x > 9) write(x / 10); putchar(x % 10 + '0'); } void write(const char &x) { putchar(x); } void write(const double &x) { printf("%.10lf", x); } void write(const char *x) { printf("%s", x); } template <typename T, typename... Args> void read(T &x, Args &...args) { read(x); read(args...); } template <typename... Args> void read(char *x, Args &...args) { read(x); read(args...); } template < typename OutputIt, typename = typename enable_if< is_same<output_iterator_tag, typename iterator_traits<OutputIt>::iterator_category>::value || (is_base_of<forward_iterator_tag, typename iterator_traits<OutputIt>:: iterator_category>::value && !is_const<OutputIt>::value)>::type> void read(OutputIt __first, OutputIt __last) { for (; __first != __last; ++__first) read(*__first); } template < typename InputIt, typename = typename enable_if<is_base_of< input_iterator_tag, typename iterator_traits<InputIt>::iterator_category>::value>::type> void wts(InputIt __first, InputIt __last) { for (; __first != __last; ++__first) { write(*__first); putchar(' '); } } template < typename InputIt, typename = typename enable_if<is_base_of< input_iterator_tag, typename iterator_traits<InputIt>::iterator_category>::value>::type> void wtb(InputIt __first, InputIt __last) { for (; __first != __last; ++__first) { write(*__first); putchar('\n'); } } void wts(const char *x) { write(x); putchar(' '); } void wtb(const char *x) { write(x); putchar('\n'); } template <typename T> void wts(const T &x) { write(x); putchar(' '); } template <typename T> void wtb(const T &x) { write(x); putchar('\n'); } template <typename... Args> void wts(const char *x, Args... args) { wts(x); wts(args...); } template <typename... Args> void wtb(const char *x, Args... args) { wts(x); wtb(args...); } template <typename T, typename... Args> void wts(const T &x, Args... args) { wts(x); wts(args...); } template <typename T, typename... Args> void wtb(const T &x, Args... args) { wts(x); wtb(args...); } template <typename T> inline bool up(T &x, const T &y) { return x < y ? x = y, 1 : 0; } template <typename T> inline bool dn(T &x, const T &y) { return y < x ? x = y, 1 : 0; } const long long N = 110; const long long K = 1010; const long long S = 100010; const long long mod = 1000000007; struct Node { long long x, a, f, p, type, id; bool operator<(const Node &b) const { return a == b.a ? type > b.type : a < b.a; } } a[S << 1]; queue<long long> q; bool xianzhi[S]; long long head[S], cur[S], nxt[K << 4], to[K << 4], edge[K << 4], cnt = 1; long long n, m, c, b, k, ans, mxp[N], g[S], dis[N][N], dep[S], s = S - 2, t = S - 1; void add(long long u, long long v, long long w) { nxt[++cnt] = head[u]; head[u] = cnt; to[cnt] = v; edge[cnt] = w; } void Add(long long u, long long v, long long w) { add(u, v, w); add(v, u, 0); } long long dfs(long long u, long long flow) { if (dep[u] == dep[t]) return u == t ? flow : 0; long long v, w, f, out = 0; for (long long &i = cur[u]; i && flow - out; i = nxt[i]) { v = to[i]; w = edge[i]; if (w > 0 && dep[v] == dep[u] + 1) { f = dfs(v, min(w, flow - out)); edge[i] -= f; edge[i ^ 1] += f; out += f; } } return out; } bool bfs() { memset(dep, -1, sizeof(dep)); dep[s] = 0; q.push(s); while (!q.empty()) { long long u = q.front(); q.pop(); for (long long i = head[u]; i; i = nxt[i]) { long long v = to[i]; long long w = edge[i]; if (w > 0 && dep[v] == -1) { dep[v] = dep[u] + 1; q.push(v); } } } return dep[t] > 0; } long long dinic() { long long out = 0; while (bfs()) { memcpy(cur, head, sizeof(cur)); out += dfs(s, INF); } return out; } signed main() { read(n, m); memset(dis, 0x3f, sizeof(dis)); for (long long i = (1), iend = (m); i <= iend; ++i) { long long u, v; read(u, v); dis[u][v] = dis[v][u] = 1; } for (long long i = (1), iend = (n); i <= iend; ++i) dis[i][i] = 0; for (long long k = (1), kend = (n); k <= kend; ++k) for (long long i = (1), iend = (n); i <= iend; ++i) for (long long j = (1), jend = (n); j <= jend; ++j) dn(dis[i][j], dis[i][k] + dis[k][j]); read(c, b, k); for (long long i = (1), iend = (c); i <= iend; ++i) { read(a[i].x, a[i].a, a[i].f, a[i].p); a[i].type = 1; a[i].id = i; } for (long long i = (1), iend = (b); i <= iend; ++i) { read(a[i + c].x, a[i + c].a, a[i + c].p); a[i + c].type = 2; } sort(a + 1, a + c + b + 1); for (long long i = (1), iend = (n); i <= iend; ++i) mxp[i] = -INF; for (long long i = (1), iend = (c); i <= iend; ++i) g[i] = -INF; for (long long i = (1), iend = (c + b); i <= iend; ++i) { if (a[i].type == 1) { for (long long j = (1), jend = (n); j <= jend; ++j) if (dis[a[i].x][j] <= a[i].f) up(g[a[i].id], mxp[j] - a[i].p); } else up(mxp[a[i].x], a[i].p); } for (long long i = (1), iend = (k); i <= iend; ++i) { long long u, v; read(u, v); Add(u, v, INF); xianzhi[u] = xianzhi[v] = true; } for (long long i = (1), iend = (c); i <= iend; ++i) { if (xianzhi[i]) { if (g[i] >= 0) { ans += g[i]; Add(s, i, g[i]); } else Add(i, t, -g[i]); } else if (g[i] > 0) ans += g[i]; } wtb(ans - dinic()); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using vi = vector<ll>; using pii = pair<ll, ll>; using ld = long double; const ll inf = (ll)1e18 + 100; ll n, m; ll d[100][100]; ll s, b, k; struct ship { ll x, a, f, p; } ss[100000]; struct base { ll x, d, g; } bb[100000]; struct maxflow { struct edge { ll to, c, f; }; vector<edge> e; vector<vi> g; ll N, S, T; vi pt, d; ll A; bool bfs() { fill_n(d.begin(), N, inf); d[S] = 0; queue<ll> q; q.push(S); while (!q.empty()) { ll v = q.front(); q.pop(); for (ll i : g[v]) { edge& ee = e[i]; if (ee.c - ee.f >= A && d[ee.to] == inf) { d[ee.to] = d[v] + 1; q.push(ee.to); } } } return (d[T] != inf); } ll dfs(ll v, ll cmin) { if (v == T) { return cmin; } for (; pt[v] < (ll)((g[v]).size()); pt[v]++) { ll i = g[v][pt[v]]; edge& ee = e[i]; if (ee.c - ee.f >= A && d[ee.to] == d[v] + 1) { ll f = dfs(ee.to, min(cmin, ee.c - ee.f)); if (f > 0) { ee.f += f; e[i ^ 1].f -= f; return f; } } } return 0; } void dinic() { d.resize(N); pt.resize(N); ll mf = 0; for (A = inf; A; A >>= 1) { while (bfs()) { fill_n(pt.begin(), N, 0); while (dfs(S, inf)) ; } } } void addEdge(ll u, ll v, ll c) { static ll i = 0; e.push_back({v, c, 0}); e.push_back({u, 0, 0}); g[u].push_back(i); g[v].push_back(i ^ 1); i += 2; } void zhfs(ll v, vector<bool>& was) { was[v] = true; for (ll i : g[v]) { edge& ee = e[i]; if (ee.c - ee.f > 0 && !was[ee.to]) { zhfs(ee.to, was); } } } }; vi g1[100000]; vector<pii> e; bool ban[100000]; ll w[100000]; void dfs(ll v) { ban[v] = true; for (ll to : g1[v]) if (!ban[to]) dfs(to); } vector<pii> pl[100]; vi pm[100]; int32_t main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); cin >> n >> m; for (ll i = 0; i < n; i++) for (ll j = 0; j < n; j++) if (i != j) d[i][j] = inf; for (ll i = 0; i < m; i++) { ll u, v; cin >> u >> v; --u; --v; d[u][v] = d[v][u] = 1; } for (ll k = 0; k < n; k++) for (ll i = 0; i < n; i++) for (ll j = 0; j < n; j++) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); cin >> s >> b >> k; for (ll i = 0; i < s; i++) cin >> ss[i].x >> ss[i].a >> ss[i].f >> ss[i].p, --ss[i].x; for (ll i = 0; i < b; i++) cin >> bb[i].x >> bb[i].d >> bb[i].g, --bb[i].x, pl[bb[i].x].push_back({bb[i].d, bb[i].g}); for (ll i = 0; i < n; i++) { if (pl[i].empty()) continue; sort((pl[i]).begin(), (pl[i]).end()); pm[i].resize((ll)((pl[i]).size())); pm[i][0] = pl[i][0].second; for (ll j = 1; j < (ll)((pm[i]).size()); j++) { pm[i][j] = max(pm[i][j - 1], pl[i][j].second); } } vi broken; maxflow grape; grape.N = s + 2; grape.S = grape.N - 2; grape.T = grape.N - 1; grape.g.resize(grape.N); vi ord(s); iota((ord).begin(), (ord).end(), 0); sort((ord).begin(), (ord).end(), [](ll i, ll j) { return ss[i].a < ss[j].a; }); vi pt(n, -1); for (ll i : ord) { ll hi = -1; for (ll p = 0; p < n; p++) if (ss[i].f >= d[ss[i].x][p]) { while (pt[p] + 1 < (ll)((pl[p]).size()) && ss[i].a >= pl[p][pt[p] + 1].first) pt[p]++; if (pt[p] != -1) hi = max(hi, pm[p][pt[p]]); } if (hi == -1) broken.push_back(i); else { hi -= ss[i].p; w[i] = hi; } } for (ll i = 0; i < k; i++) { ll u, v; cin >> u >> v; --u; --v; g1[v].push_back(u); e.push_back({u, v}); } for (ll u : broken) if (!ban[u]) dfs(u); for (ll i = 0; i < s; i++) if (!ban[i]) { ll hi = w[i]; if (hi < 0) grape.addEdge(i, grape.T, -hi); else if (hi > 0) grape.addEdge(grape.S, i, hi); } for (pii r : e) { ll u = r.first, v = r.second; if (!ban[u] && !ban[v]) grape.addEdge(u, v, inf); } grape.dinic(); vector<bool> was(grape.N, false); grape.zhfs(grape.S, was); ll ans = 0; for (ll u = 0; u < s; u++) { if (was[u]) { ans += w[u]; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; inline char nc() { return getchar(); static char buf[100000], *l = buf, *r = buf; return l == r && (r = (l = buf) + fread(buf, 1, 100000, stdin), l == r) ? EOF : *l++; } template <class T> void read(T &x) { x = 0; int f = 1, ch = nc(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = nc(); } while (ch >= '0' && ch <= '9') { x = x * 10 - '0' + ch; ch = nc(); } x *= f; } const int inf = 1e9 + 1; const int maxn = 100 + 5; const int maxs = 1e5 + 5; const int maxb = 1e5 + 5; int n, m; int s, b, k; int st, ed; int val[maxn]; int dis[maxn][maxn]; int head[maxs]; vector<int> adj[maxn]; struct data { int a, b, c, d, id; inline bool operator<(const data &other) const { return b < other.b; } } A[maxs], B[maxb]; struct edge { int to, nex; long long cap, flow; edge(int to = 0, int nex = 0, long long cap = 0, long long flow = 0) : to(to), nex(nex), cap(cap), flow(flow) {} }; vector<edge> G; inline void adde(int u, int v) { adj[u].push_back(v); adj[v].push_back(u); } inline void addedge(int u, int v, long long c) { G.push_back(edge(v, head[u], c, 0)), head[u] = G.size() - 1; G.push_back(edge(u, head[v], 0, 0)), head[v] = G.size() - 1; } namespace dinic { int dis[maxs], cur[maxs]; bool BFS() { static int q[maxs]; int hd = 0, tl = 0; memset(dis, -1, sizeof(dis)); dis[st] = 0; q[tl++] = st; while (hd < tl) { int u = q[hd++]; for (int i = head[u]; ~i; i = G[i].nex) { int v = G[i].to; if (dis[v] == -1 && G[i].cap != G[i].flow) { dis[v] = dis[u] + 1; q[tl++] = v; } } } return dis[ed] != -1; } long long DFS(int u, long long flow) { if (u == ed || flow == 0) return flow; long long rec = flow; for (int &i = cur[u]; ~i; i = G[i].nex) { int v = G[i].to; if (dis[v] == dis[u] + 1) { long long d = DFS(v, min(flow, G[i].cap - G[i].flow)); G[i].flow += d; G[i ^ 1].flow -= d; flow -= d; if (flow == 0) break; } } return rec - flow; } long long maxflow() { long long flow = 0; while (BFS()) { memcpy(cur, head, sizeof(head)); flow += DFS(st, 1e18); } return flow; } } // namespace dinic int adde(int x) { int mx = -1; for (int i = 1; i <= n; ++i) if (dis[A[x].a][i] <= A[x].c) { mx = max(mx, val[i]); } if (mx == -1) { addedge(A[x].id, ed, 1e18); return 0; } mx -= A[x].d; if (mx < 0) { addedge(A[x].id, ed, -mx); return 0; } addedge(st, A[x].id, mx); return mx; } void BFS(int st) { static int q[maxn]; int hd = 0, tl = 0; for (int i = 1; i <= n; ++i) dis[st][i] = inf; dis[st][st] = 0; q[tl++] = st; while (hd < tl) { int u = q[hd++]; for (unsigned int i = 0; i < adj[u].size(); ++i) { int v = adj[u][i]; if (dis[st][v] == inf) { dis[st][v] = dis[st][u] + 1; q[tl++] = v; } } } } void init() { for (int i = 1; i <= n; ++i) BFS(i); } long long solve() { init(); sort(A + 1, A + s + 1); sort(B + 1, B + b + 1); long long an = 0; int i = 1, j = 1; st = 0, ed = s + 1; memset(val, -1, sizeof(val)); while (i <= s && j <= b) { if (B[j].b <= A[i].b) { val[B[j].a] = max(val[B[j].a], B[j].c); ++j; } else { an += adde(i++); } } while (i <= s) an += adde(i++); return an - dinic ::maxflow(); } int main() { read(n), read(m); for (int i = 1; i <= m; ++i) { int u, v; read(u), read(v); adde(u, v); } read(s), read(b), read(k); for (int i = 1; i <= s; ++i) { read(A[i].a), read(A[i].b), read(A[i].c), read(A[i].d); A[i].id = i; } for (int i = 1; i <= b; ++i) { read(B[i].a), read(B[i].b), read(B[i].c); } memset(head, -1, sizeof(head)); for (int i = 1; i <= k; ++i) { int s1, s2; read(s1), read(s2); addedge(s1, s2, 1e18); } printf("%I64d\n", solve()); return 0; }
#include <bits/stdc++.h> using namespace std; long long d[105][105]; vector<pair<long long, long long>> bs[105]; long long mbs[105][100005], pl[100005], pp[100005][4]; template <typename flow_type> struct dinic { struct edge { size_t src, dst, rev; flow_type flow, cap; }; int n; vector<vector<edge>> adj; dinic(int n) : n(n), adj(n), level(n), q(n), it(n) {} void add_edge(size_t src, size_t dst, flow_type cap, flow_type rcap = 0) { adj[src].push_back({src, dst, adj[dst].size(), 0, cap}); if (src == dst) adj[src].back().rev++; adj[dst].push_back({dst, src, adj[src].size() - 1, 0, rcap}); } vector<int> level, q, it; bool bfs(int source, int sink) { fill(level.begin(), level.end(), -1); for (int qf = level[q[0] = sink] = 0, qb = 1; qf < qb; ++qf) { sink = q[qf]; for (edge &e : adj[sink]) { edge &r = adj[e.dst][e.rev]; if (r.flow < r.cap && level[e.dst] == -1) level[q[qb++] = e.dst] = 1 + level[sink]; } } return level[source] != -1; } flow_type augment(int source, int sink, flow_type flow) { if (source == sink) return flow; for (; it[source] != adj[source].size(); ++it[source]) { edge &e = adj[source][it[source]]; if (e.flow < e.cap && level[e.dst] + 1 == level[source]) { flow_type delta = augment(e.dst, sink, min(flow, e.cap - e.flow)); if (delta > 0) { e.flow += delta; adj[e.dst][e.rev].flow -= delta; return delta; } } } return 0; } flow_type max_flow(int source, int sink) { for (int u = 0; u < n; ++u) for (edge &e : adj[u]) e.flow = 0; flow_type flow = 0; flow_type oo = numeric_limits<flow_type>::max(); while (bfs(source, sink)) { fill(it.begin(), it.end(), 0); for (flow_type f; (f = augment(source, sink, oo)) > 0;) flow += f; } return flow; } }; int main() { ios_base::sync_with_stdio(0); cin.tie(0); long long n, m, u, v; cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) d[i][j] = ((long long)(1e9 + 7)); for (long long i = 0; i < m; i++) { cin >> u >> v; u--, v--; d[u][v] = d[v][u] = 1; } for (int i = 0; i < n; i++) d[i][i] = 0; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) for (int k = 0; k < n; k++) d[j][k] = min(d[j][k], d[j][i] + d[i][k]); long long s, b, k, gg, de; cin >> s >> b >> k; for (long long i = 0; i < s; i++) { cin >> pp[i][0] >> pp[i][1] >> pp[i][2] >> pp[i][3]; pp[i][0]--; pl[i] = -(((long long)(1e9 + 7)) * ((long long)(1e9 + 7))); } for (int i = 0; i < b; i++) { cin >> u >> de >> gg; u--; bs[u].push_back(pair<long long, long long>(de, gg)); } for (int i = 0; i < n; i++) { sort(bs[i].begin(), bs[i].end()); long long ma = 0; for (long long j = 0; j < bs[i].size(); j++) { ma = max(ma, bs[i][j].second); mbs[i][j] = ma; } } dinic<long long> g(2 + s); long long s1 = 0; for (int i = 0; i < s; i++) { long long ma = 0; bool ok = 0; for (int j = 0; j < n; j++) { if (d[j][pp[i][0]] > pp[i][2]) continue; long long pos = upper_bound(bs[j].begin(), bs[j].end(), pair<long long, long long>( pp[i][1], ((long long)(1e9 + 7)))) - bs[j].begin(); if (pos) ma = max(ma, mbs[j][pos - 1]), ok = 1; } if (ok) pl[i] = ma - pp[i][3]; if (pl[i] > 0) { g.add_edge(0, i + 1, pl[i]); s1 += pl[i]; } if (pl[i] < 0) g.add_edge(i + 1, s + 1, -pl[i]); } for (long long i = 0; i < k; i++) { cin >> u >> v; g.add_edge(u, v, ((long long)(1e9 + 7)) * ((long long)(1e9 + 7))); } cout << (s1 - g.max_flow(0, s + 1)) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; int dis[110][110], nV, nE, n, m; struct MaxFlow { vector<int> G[220100]; struct Edge { int b, e; long long f; } E[221000]; int EC, PV[220100], Q[220100], Level[220100], n, source, sink; long long flow, INF = 1e16; void init(int N, int S, int T) { source = S, sink = T, flow = EC = 0; n = N; for (int i = 0; i <= n; i++) G[i].clear(); } void Add_Edge(int a, int b, long long f) { G[a].push_back(EC); G[b].push_back(EC + 1); E[EC++] = {a, b, f}; E[EC++] = {b, a, 0}; } long long BlockFlow(int a, long long f) { if (a == sink) return f; for (int &i = PV[a]; i >= 0; i--) { int t = G[a][i]; if (E[t].f && Level[E[t].e] == Level[a] + 1) { long long ff = BlockFlow(E[t].e, min(E[t].f, f)); if (ff) { E[t].f -= ff; E[t ^ 1].f += ff; return ff; } } } return 0ll; } bool GetLevel() { int head = 0, tail = 0, i; for (i = 1; i <= n; i++) Level[i] = -1; Q[++tail] = source; Level[source] = 0; while (head < tail) { int x = Q[++head]; for (auto &t : G[x]) { if (E[t].f && Level[E[t].e] == -1) { Level[E[t].e] = Level[x] + 1; Q[++tail] = E[t].e; } } } return Level[sink] != -1; } void Dinic() { int i; long long t; flow = 0; while (GetLevel()) { for (i = 1; i <= n; i++) PV[i] = G[i].size() - 1; while (t = BlockFlow(source, INF)) { flow += t; } } } } G1; struct AA { int x, a, f, cost; } A[110000]; struct BB { int d, k; bool operator<(const BB &p) const { return d < p.d; } }; vector<BB> U[110]; vector<int> MX[110]; pair<int, int> Ed[1010]; int K, chk[101000]; long long WW[101000]; int main() { int i, j, k; scanf("%d%d", &nV, &nE); for (i = 1; i <= nV; i++) for (j = 1; j <= nV; j++) if (i != j) dis[i][j] = 1e9; for (i = 0; i < nE; i++) { int a, b; scanf("%d%d", &a, &b); dis[a][b] = dis[b][a] = 1; } for (k = 1; k <= nV; k++) for (i = 1; i <= nV; i++) for (j = 1; j <= nV; j++) dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]); scanf("%d%d%d", &n, &m, &K); for (i = 1; i <= n; i++) { scanf("%d%d%d%d", &A[i].x, &A[i].a, &A[i].f, &A[i].cost); } for (i = 1; i <= m; i++) { int x, d, k; scanf("%d%d%d", &x, &d, &k); U[x].push_back({d, k}); } for (i = 1; i <= nV; i++) { int sz = U[i].size(); if (!sz) continue; MX[i].resize(sz); sort(U[i].begin(), U[i].end()); for (j = 0; j < sz; j++) { MX[i][j] = U[i][j].k; if (j) MX[i][j] = max(MX[i][j], MX[i][j - 1]); } } for (i = 1; i <= n; i++) { long long z = -1e16; for (j = 1; j <= nV; j++) { if (U[j].empty() || A[i].f < dis[A[i].x][j]) continue; BB tp = {A[i].a + 1, 0}; int pv = lower_bound(U[j].begin(), U[j].end(), tp) - U[j].begin(); if (!pv) continue; z = max(z, 0ll + MX[j][pv - 1] - A[i].cost); } WW[i] = z; } for (i = 0; i < K; i++) { int a, b; scanf("%d%d", &a, &b); Ed[i] = {a, b}; chk[a] = chk[b] = 1; } long long sum = 0; G1.init(n + 2, n + 1, n + 2); long long BS = 1e10, tt = 0; for (i = 1; i <= n; i++) { if (!chk[i]) { sum += max(WW[i], 0ll); } else { tt += BS; G1.Add_Edge(G1.source, i, BS); G1.Add_Edge(i, G1.sink, BS - WW[i]); } } for (i = 0; i < K; i++) { G1.Add_Edge(Ed[i].first, Ed[i].second, G1.INF); } G1.Dinic(); printf("%lld\n", sum + tt - G1.flow); }
#include <bits/stdc++.h> using namespace std; template <typename T> void maxtt(T& t1, T t2) { t1 = max(t1, t2); } template <typename T> void mintt(T& t1, T t2) { t1 = min(t1, t2); } bool debug = 0; int n, m, k; int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0}; string direc = "URDL"; const long long MOD2 = (long long)1000000007 * (long long)1000000007; long long ln, lk, lm; void etp(bool f = 0) { puts(f ? "YES" : "NO"); exit(0); } void addmod(int& x, int y, int mod = 1000000007) { assert(y >= 0); x += y; if (x >= mod) x -= mod; assert(x >= 0 && x < mod); } void et(int x = -1) { printf("%d\n", x); exit(0); } long long fastPow(long long x, long long y, int mod = 1000000007) { long long ans = 1; while (y > 0) { if (y & 1) ans = (x * ans) % mod; x = x * x % mod; y >>= 1; } return ans; } long long gcd1(long long x, long long y) { return y ? gcd1(y, x % y) : x; } class MaxFlow { public: long long cap[100000], flow[100000]; int to[100000], prev[100000], last[5000], used[5000], level[5000]; int V, E; MaxFlow(int n) { V = n; E = 0; for (int(i) = 0; (i) < (int)(V); (i)++) last[i] = -1; } void init(int n, int es) { V = n; E = 0; for (int(i) = 0; (i) < (int)(V); (i)++) last[i] = -1; for (int(i) = 0; (i) < (int)(V); (i)++) { used[i] = 0; level[i] = 0; } for (int(i) = 0; (i) < (int)(es); (i)++) { cap[i] = flow[i] = to[i] = prev[i] = 0; } } void add_edge(int x, int y, long long f) { cap[E] = f; flow[E] = 0; to[E] = y; prev[E] = last[x]; last[x] = E; E++; cap[E] = 0; flow[E] = 0; to[E] = x; prev[E] = last[y]; last[y] = E; E++; } bool bfs(int s, int t) { int i; for (int(i) = 0; (i) < (int)(V); (i)++) level[i] = -1; queue<int> q; q.push(s); level[s] = 0; while (!q.empty()) { int x = q.front(); q.pop(); for (i = last[x]; i >= 0; i = prev[i]) if (level[to[i]] == -1 && cap[i] > flow[i]) { q.push(to[i]); level[to[i]] = level[x] + 1; } } return (level[t] != -1); } long long dfs(int v, int t, long long f) { int i; if (v == t) return f; for (i = used[v]; i >= 0; used[v] = i = prev[i]) if (level[to[i]] > level[v] && cap[i] > flow[i]) { long long tmp = dfs(to[i], t, min(f, cap[i] - flow[i])); if (tmp > 0) { flow[i] += tmp; flow[i ^ 1] -= tmp; return tmp; } } return 0; } vector<pair<int, int> > positive_edges() { vector<pair<int, int> > ans; for (int(i) = 0; (i) < (int)(V); (i)++) for (int j = last[i]; j >= 0; j = prev[j]) if (cap[j] - flow[j] > 0) ans.push_back(make_pair(i, to[j])); return ans; } long long maxflow(int s, int t) { while (bfs(s, t)) { for (int(i) = 0; (i) < (int)(V); (i)++) used[i] = last[i]; while (dfs(s, t, (1LL << 60)) != 0) ; } long long ans = 0; for (int i = last[s]; i >= 0; i = prev[i]) ans += flow[i]; return ans; } }; int dis[105][105], s, b, h; struct ship { int x, a, f, p; int pro = -1; void rd() { scanf("%d%d%d%d", &x, &a, &f, &p); } } sp[100035]; struct baase { int x, d, g; void rd() { scanf("%d%d%d", &x, &d, &g); } } bs[100035]; int baseInf[105][100035 * 2]; int u[100035], v[100035], pos[100035]; bool vis[100035]; long long ans; void cal2() { for (int(i) = 1; (i) <= (int)(k); (i)++) { scanf("%d%d", u + i, v + i); vis[u[i]] = 1; vis[v[i]] = 1; } for (int(i) = 1; (i) <= (int)(s); (i)++) if (!vis[i] && sp[i].pro > sp[i].p) { ans += sp[i].pro - sp[i].p; } vector<int> vp; for (int(i) = 1; (i) <= (int)(s); (i)++) if (vis[i]) { vp.push_back(i); pos[i] = vp.size(); } int N = vp.size(); int S = 0, T = N + 1; MaxFlow mf = MaxFlow(T + 5); for (int(i) = 0; (i) < (int)(N); (i)++) { int id = vp[i]; if (sp[id].pro >= sp[id].p) { mf.add_edge(S, i + 1, sp[id].pro - sp[id].p); ans += sp[id].pro - sp[id].p; } else { if (sp[id].pro == -1) mf.add_edge(i + 1, T, (1LL << 60)); else mf.add_edge(i + 1, T, sp[id].p - sp[id].pro); } } for (int(i) = 1; (i) <= (int)(k); (i)++) { int x = u[i], y = v[i]; mf.add_edge(pos[x], pos[y], (1LL << 60)); } ans -= mf.maxflow(S, T); printf("%lld\n", ans); } void fmain(int tid) { scanf("%d%d", &n, &m); for (int(i) = 1; (i) <= (int)(n); (i)++) for (int(j) = 1; (j) <= (int)(n); (j)++) dis[i][j] = i == j ? 0 : (1000000000) + 5; for (int(i) = 1; (i) <= (int)(m); (i)++) { int u, v; scanf("%d%d", &u, &v); if (u == v) continue; dis[u][v] = dis[v][u] = 1; } for (int(k) = 1; (k) <= (int)(n); (k)++) for (int(i) = 1; (i) <= (int)(n); (i)++) for (int(j) = 1; (j) <= (int)(n); (j)++) mintt(dis[i][j], dis[i][k] + dis[k][j]); scanf("%d%d%d", &s, &b, &k); for (int(i) = 1; (i) <= (int)(s); (i)++) sp[i].rd(); for (int(i) = 1; (i) <= (int)(b); (i)++) bs[i].rd(); map<int, int> hsh; int cnt = 0; for (int(i) = 1; (i) <= (int)(s); (i)++) hsh[sp[i].a]; for (int(i) = 1; (i) <= (int)(b); (i)++) hsh[bs[i].d]; for (auto& p : hsh) p.second = ++cnt; for (int(i) = 1; (i) <= (int)(s); (i)++) sp[i].a = hsh[sp[i].a]; for (int(i) = 1; (i) <= (int)(b); (i)++) bs[i].d = hsh[bs[i].d]; memset(baseInf, -1, sizeof(baseInf)); for (int(j) = 1; (j) <= (int)(b); (j)++) { maxtt(baseInf[bs[j].x][bs[j].d], bs[j].g); } for (int(i) = 1; (i) <= (int)(n); (i)++) for (int(j) = 1; (j) <= (int)(cnt); (j)++) maxtt(baseInf[i][j], baseInf[i][j - 1]); for (int(i) = 1; (i) <= (int)(s); (i)++) { for (int(j) = 1; (j) <= (int)(n); (j)++) if (dis[sp[i].x][j] <= sp[i].f) { maxtt(sp[i].pro, baseInf[j][sp[i].a]); } } cal2(); } int main() { int t = 1; for (int(i) = 1; (i) <= (int)(t); (i)++) { fmain(i); } return 0; }
#include <bits/stdc++.h> using namespace std; using pii = pair<int, int>; using vpii = vector<pii>; using vi = vector<int>; using vvi = vector<vi>; using ll = long long; using vll = vector<long long>; template <class T> using min_queue = priority_queue<T, vector<T>, greater<T>>; template <class T> istream &operator>>(istream &, vector<T> &); template <class T> ostream &operator<<(ostream &, const vector<T> &); template <class T, class U> istream &operator>>(istream &, pair<T, U> &); template <class T, class U> ostream &operator<<(ostream &, const pair<T, U> &); template <class T> struct Inf { static constexpr T inf() { return std::numeric_limits<T>::has_infinity() ? std::numeric_limits<T>::infinty() : std::numeric_limits<T>::max(); } }; template <> struct Inf<int> { static constexpr int inf() { return 0x3f3f3f3f; } }; template <> struct Inf<long long> { static constexpr long long inf() { return 0x3f3f3f3f3f3f3f3fLL; } }; constexpr int INF = Inf<int>::inf(); constexpr ll BINF = Inf<ll>::inf(); template <class T> class Dinic { private: struct edge { int from, to; T cap; edge *rev; edge(int u, int v, T c) : from(u), to(v), cap(c), rev(nullptr) {} }; static constexpr T INF = Inf<T>::inf(); int n, s, t; std::vector<std::vector<edge *>> g; public: Dinic(int n, int s, int t) : n(n), s(s), t(t), g(n) {} ~Dinic() { for (auto v : g) for (edge *e : v) delete e; } void addEdge(int u, int v, T c) { edge *in = new edge(u, v, c); edge *out = new edge(v, u, 0); g[u].push_back(in); g[v].push_back(out); in->rev = out; out->rev = in; } T maxFlow() { T mxf = 0; std::vector<T> dist(n, INF), vis(n); std::function<T(int, T)> dfs = [&](int u, T fo) -> T { if (u == t) return fo; for (; vis[u] < int(g[u].size()); vis[u]++) { edge *e = g[u][vis[u]]; int v = e->to; if (dist[v] != dist[u] + 1 || e->cap <= 0) continue; T foo = dfs(v, std::min(fo, e->cap)); if (foo > 0) { e->cap -= foo; e->rev->cap += foo; return foo; } } return 0; }; for (;;) { for (int i = 0; i < n; i++) dist[i] = INF, vis[i] = 0; std::queue<int> q; q.push(s); dist[s] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == t) break; for (edge *e : g[u]) { int v = e->to; if (e->cap > 0 && dist[v] == INF) { dist[v] = dist[u] + 1; q.push(v); } } } if (dist[t] == INF) break; while (T fo = dfs(s, INF)) mxf += fo; } return mxf; } }; template <class T> constexpr T Dinic<T>::INF; int solve() { int n, m; cin >> n >> m; vvi dp(n, vi(n, INF)); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--, v--; dp[u][v] = dp[v][u] = 1; } for (int i = 0; i < n; i++) dp[i][i] = 0; for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) dp[i][j] = min(dp[i][j], dp[i][k] + dp[k][j]); int s, b, k; cin >> s >> b >> k; vi xs(s), as(s), fs(s), ps(s), xb(b), db(b), gb(b); for (int i = 0; i < s; i++) { cin >> xs[i] >> as[i] >> fs[i] >> ps[i]; xs[i]--; } for (int i = 0; i < b; i++) { cin >> xb[i] >> db[i] >> gb[i]; xb[i]--; } vll canGet(s, -BINF); vector<vpii> bsList(n); for (int i = 0; i < b; i++) bsList[xb[i]].emplace_back(db[i], gb[i]); for (int i = 0; i < n; i++) { sort(bsList[i].begin(), bsList[i].end()); int z = bsList[i].size(); for (int j = 1; j < z; j++) bsList[i][j].second = max(bsList[i][j].second, bsList[i][j - 1].second); } for (int i = 0; i < s; i++) for (int j = 0; j < n; j++) { if (dp[xs[i]][j] > fs[i]) continue; auto it = upper_bound(bsList[j].begin(), bsList[j].end(), pii{as[i], INF}); if (it == bsList[j].begin()) continue; it--; canGet[i] = max(canGet[i], ll(it->second)); } for (int i = 0; i < s; i++) canGet[i] -= ps[i]; ll ans = 0; Dinic<ll> g(s + 2, s, s + 1); for (int i = 0; i < s; i++) { if (canGet[i] >= 0) { ans += canGet[i]; g.addEdge(s, i, canGet[i]); } else { g.addEdge(i, s + 1, -canGet[i]); } } for (int i = 0; i < k; i++) { int u, v; cin >> u >> v; u--, v--; g.addEdge(u, v, BINF); } ans -= g.maxFlow(); cout << ans << endl; return 0; } int main() { ios::sync_with_stdio(0); solve(); return 0; } template <class T> istream &operator>>(istream &is, vector<T> &v) { for (auto it = v.begin(); it != v.end(); ++it) is >> *it; return is; } template <class T> ostream &operator<<(ostream &os, const vector<T> &v) { for (auto it = v.begin(); it != v.end();) os << *it, os << " \n"[++it == v.end()]; return os; } template <class T, class U> istream &operator>>(istream &is, pair<T, U> &p) { return is >> p.first >> p.second; } template <class T, class U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << p.first << ' ' << p.second; }
#include <bits/stdc++.h> using namespace std; long long mod = 1000000007LL; long long large = 2000000000000000000LL; struct Edge { int from, to; long long cap, flow; }; struct Dinic { int n, m, s, t; vector<Edge> edges; vector<vector<int> > G; vector<bool> vis; vector<int> dis; vector<int> cur; void init(int maxn) { edges.clear(); G.assign(maxn + 10, vector<int>(0)); vis.assign(maxn + 10, false); dis.assign(maxn + 10, 0); cur.assign(maxn + 10, 0); n = maxn; } void addEdge(int from, int to, long long cap) { edges.push_back((Edge){from, to, cap, 0}); edges.push_back((Edge){to, from, 0, 0}); m = edges.size(); G[from].push_back(m - 2); G[to].push_back(m - 1); } bool BFS() { vis.assign(n + 10, false); queue<int> q; q.push(s); dis[s] = 0; vis[s] = true; while (!q.empty()) { int u = q.front(); q.pop(); for (int i = 0; i < (int)G[u].size(); i++) { Edge& e = edges[G[u][i]]; if (!vis[e.to] && e.cap > e.flow) { vis[e.to] = 1; dis[e.to] = dis[u] + 1; q.push(e.to); } } } return vis[t]; } long long DFS(int x, long long a) { if (x == t || a == 0) return a; long long flow = 0, f; for (int& i = cur[x]; i < (int)G[x].size(); i++) { Edge& e = edges[G[x][i]]; if (dis[x] + 1 == dis[e.to] && (f = DFS(e.to, min(a, e.cap - e.flow))) > 0) { e.flow += f; edges[G[x][i] ^ 1].flow -= f; flow += f; a -= f; if (a == 0) break; } } return flow; } long long maxflow(int s, int t) { this->s = s; this->t = t; long long flow = 0; while (BFS()) { cur.assign(n + 10, 0); flow += DFS(s, large); } return flow; } void clearflow() { vis.assign(n + 10, false); dis.assign(n + 10, 0); cur.assign(n + 10, 0); for (int i = 0; i < (int)edges.size(); i++) { edges[i].flow = 0; } } }; int main() { int n, m; cin >> n >> m; vector<vector<int> > g(n, vector<int>(n, 1000000000)); for (int i = 0; i < m; i++) { int x, y; cin >> x >> y; x--; y--; g[x][y] = g[y][x] = 1; } for (int i = 0; i < n; i++) g[i][i] = 0; for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) g[i][j] = min(g[i][j], g[i][k] + g[k][j]); int s, b; cin >> s >> b; int k; cin >> k; vector<int> ps(s, 0), a(s, 0), f(s, 0), p(s, 0); vector<int> pb(b, 0), d(b, 0), gold(b, 0); for (int i = 0; i < s; i++) { cin >> ps[i] >> a[i] >> f[i] >> p[i]; ps[i]--; } for (int i = 0; i < b; i++) { cin >> pb[i] >> d[i] >> gold[i]; pb[i]--; } vector<vector<pair<int, int> > > adj(n, vector<pair<int, int> >()); for (int i = 0; i < b; i++) { adj[pb[i]].push_back(pair<int, int>(d[i], gold[i])); } for (int i = 0; i < n; i++) sort(adj[i].begin(), adj[i].end()); for (int i = 0; i < n; i++) { for (int j = 0; j < (int)adj[i].size(); j++) { if (j) adj[i][j].second = max(adj[i][j].second, adj[i][j - 1].second); } } for (int i = 0; i < s; i++) { int ans = -1; for (int j = 0; j < n; j++) { if (g[ps[i]][j] > f[i]) continue; int pt = upper_bound(adj[j].begin(), adj[j].end(), pair<int, int>(a[i], 1000000010)) - adj[j].begin(); pt--; if (pt >= 0) ans = max(ans, adj[j][pt].second); } if (ans != -1) p[i] = ans - p[i]; else p[i] = -large; } Dinic din; din.init(s + 10); int st = s; int en = st + 1; long long sum = 0; for (int i = 0; i < s; i++) { if (p[i] > 0) { din.addEdge(st, i, p[i]); sum += p[i]; } else din.addEdge(i, en, -p[i]); } for (int i = 0; i < k; i++) { int x, y; cin >> x >> y; x--; y--; din.addEdge(x, y, large); } cout << sum - din.maxflow(st, en) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct Edge { long long from, to, cap, flow, index; Edge(int from, int to, long long cap, long long flow, int index) : from(from), to(to), cap(cap), flow(flow), index(index) {} }; struct PushRelabel { int N; vector<vector<Edge>> G; vector<int> dist, active, count; vector<long long> excess; queue<int> Q; PushRelabel(int N) : N(N), G(N), excess(N), dist(N), active(N), count(2 * N) {} void AddEdge(int from, int to, long long cap) { G[from].push_back(Edge(from, to, cap, 0, G[to].size())); if (from == to) G[from].back().index++; G[to].push_back(Edge(to, from, 0, 0, G[from].size() - 1)); } void Enqueue(int v) { if (!active[v] && excess[v] > 0) { active[v] = true; Q.push(v); } } void Push(Edge &e) { long long amt = min(excess[e.from], e.cap - e.flow); if (dist[e.from] <= dist[e.to] || amt == 0) return; e.flow += amt; G[e.to][e.index].flow -= amt; excess[e.to] += amt; excess[e.from] -= amt; Enqueue(e.to); } void Gap(int k) { for (int v = 0; v < N; v++) { if (dist[v] < k) continue; count[dist[v]]--; dist[v] = max(dist[v], N + 1); count[dist[v]]++; Enqueue(v); } } void Relabel(int v) { count[dist[v]]--; dist[v] = 2 * N; for (int i = 0; i < G[v].size(); i++) if (G[v][i].cap - G[v][i].flow > 0) dist[v] = min(dist[v], dist[G[v][i].to] + 1); count[dist[v]]++; Enqueue(v); } void Discharge(int v) { for (int i = 0; excess[v] > 0 && i < G[v].size(); i++) Push(G[v][i]); if (excess[v] > 0) { if (count[dist[v]] == 1) Gap(dist[v]); else Relabel(v); } } long long GetMaxFlow(int s, int t) { count[0] = N - 1; count[N] = 1; dist[s] = N; active[s] = active[t] = true; for (int i = 0; i < G[s].size(); i++) { excess[s] += G[s][i].cap; Push(G[s][i]); } while (!Q.empty()) { int v = Q.front(); Q.pop(); active[v] = false; Discharge(v); } long long totflow = 0; for (int i = 0; i < G[s].size(); i++) totflow += G[s][i].flow; return totflow; } }; const int INF = 1e5; long long dis[101][101], n, m, u, v, gold[101], po[101], go, vis[100005]; long long ans, tot[100005]; vector<pair<int, int>> bases[101]; long long xs[100005], a[100005], f[100005], p[100005]; long long xb[100005], d[100005], g[100005]; vector<pair<int, int>> ships; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (int i = 1; i <= n; ++i) for (int j = 1; j <= n; ++j) { if (j != i) dis[i][j] = INF; } for (int i = 0; i < m; ++i) { cin >> u >> v; if (u != v) dis[u][v] = dis[v][u] = 1; } for (int b = 1; b <= n; ++b) for (int a = 1; a <= n; ++a) for (int c = 1; c <= n; ++c) dis[a][c] = min(dis[a][c], dis[a][b] + dis[b][c]); int s, b, k; cin >> s >> b >> k; for (int i = 0; i < s; ++i) { cin >> xs[i] >> a[i] >> f[i] >> p[i]; ships.push_back(make_pair(a[i], i)); } for (int i = 0; i < b; ++i) { cin >> xb[i] >> d[i] >> g[i]; bases[xb[i]].push_back(make_pair(d[i], g[i])); } for (int i = 1; i <= n; ++i) sort(bases[i].begin(), bases[i].end()); sort(ships.begin(), ships.end()); for (int j = 1; j <= n; j++) gold[j] = -(1LL << 55); for (int i = 0; i < s; ++i) { for (int j = 1; j <= n; ++j) while (po[j] != (int)bases[j].size() && bases[j][po[j]].first <= ships[i].first) gold[j] = max(gold[j], (long long)bases[j][po[j]++].second); go = -(1LL << 55); u = ships[i].second; for (int j = 1; j <= n; ++j) if (dis[j][xs[u]] < INF && dis[j][xs[u]] <= f[u]) { go = max(go, gold[j]); } tot[u] = go - p[u]; } PushRelabel pr(s + 2); long long ls = 0; for (int i = 0; i < s; i++) { if (tot[i] > 0) ls += tot[i], pr.AddEdge(0, i + 2, tot[i]); else pr.AddEdge(i + 2, 1, -tot[i]); } for (int i = 0; i < k; ++i) { cin >> u >> v, u--, v--; pr.AddEdge(u + 2, v + 2, (1LL << 55)); } ls -= pr.GetMaxFlow(0, 1); cout << ls << "\n"; }
#include <bits/stdc++.h> using ll = long long; const ll LINF = 1e13; using namespace std; namespace ProconLib { template <typename cost_t = long long, bool hasNegativeCost = false, cost_t INF = LINF> class Flow { public: struct Edge { int to; cost_t cap, rev; cost_t cost; }; using Edges = vector<Edge>; using Graph = vector<Edges>; private: int N; Graph g; vector<int> level; vector<int> iter; void bfs(int s); cost_t dfs(int v, int t, cost_t f); public: Flow(int N) : N(N), g(N){}; void addEdge(int from, int to, cost_t cap); void addEdge(int from, int to, cost_t cap, cost_t cost); cost_t maxFlow(int s, int t); cost_t minCostFlow(int s, int t, cost_t f); }; template <typename cost_t, bool hasNegativeCost, cost_t INF> void Flow<cost_t, hasNegativeCost, INF>::addEdge(int from, int to, cost_t cap) { g[from].push_back({to, cap, int(g[to].size()), 0}); g[to].push_back({from, cost_t(0), int(g[from].size()) - 1, 0}); } template <typename cost_t, bool hasNegativeCost, cost_t INF> void Flow<cost_t, hasNegativeCost, INF>::addEdge(int from, int to, cost_t cap, cost_t cost) { g[from].push_back({to, cap, int(g[to].size()), cost}); g[to].push_back({from, cost_t(0), int(g[from].size()) - 1, -cost}); } template <typename cost_t, bool hasNegativeCost, cost_t INF> cost_t Flow<cost_t, hasNegativeCost, INF>::maxFlow(int s, int t) { cost_t flow = 0; while (true) { bfs(s); if (level[t] < 0) return flow; iter.assign(N, 0); cost_t f; while ((f = dfs(s, t, INF)) > 0) { flow += f; } } } template <typename cost_t, bool hasNegativeCost, cost_t INF> void Flow<cost_t, hasNegativeCost, INF>::bfs(int s) { level.assign(N, -1); queue<int> que; level[s] = 0; que.push(s); while (!que.empty()) { int v = que.front(); que.pop(); for (int i = 0; i < g[v].size(); i++) { Edge& e = g[v][i]; if (e.cap > 0 && level[e.to] < 0) { level[e.to] = level[v] + 1; que.push(e.to); } } } } template <typename cost_t, bool hasNegativeCost, cost_t INF> cost_t Flow<cost_t, hasNegativeCost, INF>::dfs(int v, int t, cost_t f) { if (v == t) return f; for (int& i = iter[v]; i < g[v].size(); i++) { Edge& e = g[v][i]; if (e.cap > 0 && level[v] < level[e.to]) { cost_t d = dfs(e.to, t, min(f, e.cap)); if (d > 0) { e.cap -= d; g[e.to][e.rev].cap += d; return d; } } } return 0; } template <typename cost_t, bool hasNegativeCost, cost_t INF> cost_t Flow<cost_t, hasNegativeCost, INF>::minCostFlow(int s, int t, cost_t f) { using P = pair<cost_t, int>; cost_t res = 0; vector<cost_t> h(N, 0); vector<int> used(N), preve(N), prevv(N); vector<cost_t> dist(N); while (f > 0) { fill(dist.begin(), dist.end(), INF); dist[s] = 0; if (!hasNegativeCost) { fill(used.begin(), used.end(), 0); priority_queue<P, vector<P>, greater<P>> que; que.push(make_pair(cost_t(0), s)); while (!que.empty()) { P p = que.top(); que.pop(); int v = p.second; if (used[v]) continue; used[v] = true; for (int i = 0; i < g[v].size(); i++) { Edge& e = g[v][i]; if (e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to]) { dist[e.to] = dist[v] + e.cost + h[v] - h[e.to]; prevv[e.to] = v; preve[e.to] = i; que.push(make_pair(dist[e.to], e.to)); } } } } else { bool update = true; while (update) { update = false; for (int v = 0; v < N; v++) { if (dist[v] == INF) continue; for (int i = 0; i < g[v].size(); i++) { Edge& e = g[v][i]; if (e.cap > 0 && dist[e.to] > dist[v] + e.cost) { dist[e.to] = dist[v] + e.cost; prevv[e.to] = v; preve[e.to] = i; update = true; } } } } } if (dist[t] == INF) { return -1; } if (!hasNegativeCost) { for (int v = 0; v < N; v++) h[v] += dist[v]; } cost_t d = f; for (int v = t; v != s; v = prevv[v]) { d = min(d, g[prevv[v]][preve[v]].cap); } f -= d; if (!hasNegativeCost) { res += d * h[t]; } else { res += d * dist[t]; } for (int v = t; v != s; v = prevv[v]) { Edge& e = g[prevv[v]][preve[v]]; e.cap -= d; g[v][e.rev].cap += d; } } return res; } } // namespace ProconLib struct Spaceship { int x, a, f, p; }; struct Base { int x, d, g; }; using namespace ProconLib; using vvi = vector<vector<int>>; void dfs(int v, vvi& g, vector<int>& used, vector<int>& vs) { used[v] = true; vs.push_back(v); for (auto to : g[v]) { if (used[to]) continue; dfs(to, g, used, vs); } } int main() { int n, m; cin >> n >> m; vector<vector<int>> dist(n, vector<int>(n, 1e9 + 5)); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--, v--; dist[u][v] = 1; dist[v][u] = 1; } for (int i = 0; i < n; i++) dist[i][i] = 0; int s, b, k; cin >> s >> b >> k; vector<Spaceship> ship(s); for (int i = 0; i < s; i++) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p, ship[i].x--; } vector<Base> base(b); for (int i = 0; i < b; i++) { cin >> base[i].x >> base[i].d >> base[i].g; base[i].x--; } vvi sg(s); for (int i = 0; i < k; i++) { int s1, s2; cin >> s1 >> s2; s1--, s2--; sg[s1].push_back(s2); } for (int k = 0; k < n; k++) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } vector<ll> profit(s, -LINF); vector<vector<int>> bids(n); for (int i = 0; i < b; i++) { bids[base[i].x].push_back(i); } auto cmp = [&](int lhs, int rhs) { return base[lhs].d < base[rhs].d; }; for (int i = 0; i < n; i++) sort(bids[i].begin(), bids[i].end(), cmp); vector<vector<int>> accMax(n); for (int i = 0; i < n; i++) { accMax[i].resize(bids[i].size() + 1); for (int j = 0; j < bids[i].size(); j++) { accMax[i][j + 1] = max(accMax[i][j], base[bids[i][j]].g); } } for (int i = 0; i < s; i++) { int x = ship[i].x; for (int v = 0; v < n; v++) { if (dist[x][v] <= ship[i].f) { int lb = -1, ub = bids[v].size(); while (ub - lb > 1) { int mid = (lb + ub) / 2; if (base[bids[v][mid]].d <= ship[i].a) lb = mid; else ub = mid; } ll sc = accMax[v][ub] - ship[i].p; if (ub > 0) profit[i] = max(profit[i], sc); } } } auto doFlow = [&](const vvi& graph, const vector<ll>& mpPro) { int n = graph.size(); const int S = n; const int T = n + 1; Flow<ll> flow(n + 2); ll sum = 0; for (int i = 0; i < n; i++) { if (mpPro[i] > 0) { sum += mpPro[i]; flow.addEdge(S, i, mpPro[i]); flow.addEdge(i, T, 0); } else { flow.addEdge(S, i, 0); flow.addEdge(i, T, -mpPro[i]); } } for (int i = 0; i < n; i++) { for (auto to : graph[i]) { flow.addEdge(i, to, LINF); } } return sum - flow.maxFlow(S, T); }; vvi undirSG(s); for (int i = 0; i < s; i++) { for (auto to : sg[i]) { undirSG[i].push_back(to); undirSG[to].push_back(i); } } ll res = 0; vector<int> used(s); for (int i = 0; i < s; i++) { if (!used[i]) { vector<int> vs; dfs(i, undirSG, used, vs); if (vs.size() == 1) { if (profit[i] > 0) res += profit[i]; continue; } map<int, int> mp; int id = 0; for (auto v : vs) { mp[v] = id++; } vvi mapG(id); vector<ll> mpPro(id); for (auto v : vs) { mpPro[mp[v]] = profit[v]; for (auto to : sg[v]) { mapG[mp[v]].push_back(mp[to]); } } res += doFlow(mapG, mpPro); } } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-9; const long long oo = 0x3f3f3f3f3f3f3f3f; const int mod = 1000000007; int dist[128][128]; struct ss { int x, a, f, p; } SS[100000]; long long best[100000]; vector<pair<int, int>> BASE[128]; template <typename flow_type> struct dinic { struct edge { size_t src, dst, rev; flow_type flow, cap; }; int n; vector<vector<edge>> adj; dinic(int n) : n(n), adj(n), level(n), q(n), it(n) {} void add_edge(size_t src, size_t dst, flow_type cap, flow_type rcap = 0) { adj[src].push_back({src, dst, adj[dst].size(), 0, cap}); if (src == dst) adj[src].back().rev++; adj[dst].push_back({dst, src, adj[src].size() - 1, 0, rcap}); } vector<int> level, q, it; bool bfs(int source, int sink) { fill(level.begin(), level.end(), -1); for (int qf = level[q[0] = sink] = 0, qb = 1; qf < qb; ++qf) { sink = q[qf]; for (edge &e : adj[sink]) { edge &r = adj[e.dst][e.rev]; if (r.flow < r.cap && level[e.dst] == -1) level[q[qb++] = e.dst] = 1 + level[sink]; } } return level[source] != -1; } flow_type augment(int source, int sink, flow_type flow) { if (source == sink) return flow; for (; it[source] != adj[source].size(); ++it[source]) { edge &e = adj[source][it[source]]; if (e.flow < e.cap && level[e.dst] + 1 == level[source]) { flow_type delta = augment(e.dst, sink, min(flow, e.cap - e.flow)); if (delta > 0) { e.flow += delta; adj[e.dst][e.rev].flow -= delta; return delta; } } } return 0; } flow_type max_flow(int source, int sink) { for (int u = 0; u < n; ++u) for (edge &e : adj[u]) e.flow = 0; flow_type flow = 0; flow_type oo = numeric_limits<flow_type>::max(); while (bfs(source, sink)) { fill(it.begin(), it.end(), 0); for (flow_type f; (f = augment(source, sink, oo)) > 0;) flow += f; } return flow; } }; int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; memset(dist, 0x3f, sizeof dist); for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; u--; v--; dist[u][v] = dist[v][u] = 1; } for (int i = 0; i < n; ++i) dist[i][i] = 0; for (int k = 0; k < n; ++k) for (int i = 0; i < n; ++i) for (int j = 0; j < n; ++j) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } int s, b, k; cin >> s >> b >> k; for (int i = 0; i < s; ++i) { cin >> SS[i].x >> SS[i].a >> SS[i].f >> SS[i].p; SS[i].x--; best[i] = -oo; } for (int i = 0; i < b; ++i) { int x, d, g; cin >> x >> d >> g; x--; BASE[x].push_back({d, g}); } for (int i = 0; i < n; ++i) { sort(BASE[i].begin(), BASE[i].end()); vector<pair<int, int>> inc; for (auto p : BASE[i]) { if (inc.empty() || p.second > inc.back().second) { inc.push_back(p); } } for (int j = 0; j < s; ++j) { if (SS[j].f < dist[SS[j].x][i]) continue; int p = upper_bound(inc.begin(), inc.end(), pair<int, int>(SS[j].a, mod)) - inc.begin(); if (p) { --p; best[j] = max(best[j], 1LL * (inc[p].second - SS[j].p)); } } } dinic<long long> closure(s + 2); for (int i = 0; i < k; ++i) { int u, v; cin >> u >> v; u--; v--; closure.add_edge(u + 2, v + 2, oo); } long long positive = 0; for (int i = 0; i < s; ++i) { if (best[i] >= 0) { positive += best[i]; closure.add_edge(0, i + 2, best[i]); } else { closure.add_edge(i + 2, 1, -best[i]); } } long long cut = closure.max_flow(0, 1); cout << positive - cut << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e18; class edge { public: int e, nxt; long long cap; edge(int e1 = -1, int nxt1 = -1, long long cap1 = 0) { e = e1, nxt = nxt1, cap = cap1; } }; int S, T; int dep[2510]; bool vis[2510]; class graph { public: edge g[3000000]; int head[2510], tmpcnt; int cur[2510]; void init() { memset(head, 255, sizeof(head)); tmpcnt = 0; } void addedge(int s, int e, long long cap) { if (cap == 0) return; g[tmpcnt] = edge(e, head[s], cap), head[s] = tmpcnt++; g[tmpcnt] = edge(s, head[e], 0), head[e] = tmpcnt++; } bool bfs() { memset(vis, 0, sizeof(vis)); memset(dep, 0, sizeof(dep)); queue<int> q; q.push(S); vis[S] = 1; while (!q.empty()) { int fr = q.front(); q.pop(); for (int i = head[fr]; i != -1; i = g[i].nxt) { if (g[i].cap > 0 && !vis[g[i].e]) { dep[g[i].e] = dep[fr] + 1; vis[g[i].e] = 1; q.push(g[i].e); } } } return vis[T]; } long long dfs(int np, long long maxflow) { long long f, flow = 0; if (np == T || !maxflow) return maxflow; for (int i = cur[np]; i != -1; i = g[i].nxt) { cur[np] = i; if (g[i].cap > 0 && dep[g[i].e] == dep[np] + 1 && (f = dfs(g[i].e, min(g[i].cap, maxflow))) > 0) { g[i].cap -= f; g[i ^ 1].cap += f; flow += f; maxflow -= f; if (!maxflow) break; } } return flow; } long long dinic() { long long out = 0; while (bfs()) memcpy(cur, head, sizeof(cur)), out += dfs(S, INF); return out; } } G; int n, m, dis[110][110], s, B, K; long long vl[100010]; class ship { public: int x, a, f, p; } sp[100010]; vector<pair<int, int> > bas[110]; class dependency { public: int s, e; } dpd[1010]; int flag[1000010]; int main() { scanf("%d%d", &n, &m); memset(dis, 0x3f, sizeof(dis)); for (int i = 1; i <= n; i++) dis[i][i] = 0; for (int i = 1, ti, tj; i <= m; i++) { scanf("%d%d", &ti, &tj); dis[ti][tj] = dis[tj][ti] = min(dis[ti][tj], 1); } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]); scanf("%d%d%d", &s, &B, &K); for (int i = 1; i <= s; i++) scanf("%d%d%d%d", &sp[i].x, &sp[i].a, &sp[i].f, &sp[i].p); for (int i = 1, ti, tj, tk; i <= B; i++) { scanf("%d%d%d", &ti, &tj, &tk); bas[ti].push_back(make_pair(tj, tk)); } for (int i = 1; i <= n; i++) { sort(bas[i].begin(), bas[i].end()); reverse(bas[i].begin(), bas[i].end()); vector<pair<int, int> > tmp; for (auto &x : bas[i]) { while (!tmp.empty() && x.second >= tmp.back().second) tmp.pop_back(); tmp.push_back(x); } reverse(tmp.begin(), tmp.end()); bas[i] = tmp; } for (int i = 1; i <= K; i++) scanf("%d%d", &dpd[i].s, &dpd[i].e), flag[dpd[i].s] = flag[dpd[i].e] = 1; for (int i = 1; i <= s; i++) { int mxp = -1e9; for (int j = 1; j <= n; j++) { if (dis[sp[i].x][j] <= sp[i].f) { auto x = upper_bound(bas[j].begin(), bas[j].end(), make_pair(sp[i].a + 1, -1000000000)); if (x == bas[j].begin()) continue; x--; mxp = max(mxp, x->second); } } if (mxp == -1e9) vl[i] = -1e18; else vl[i] = mxp - sp[i].p; } vector<int> used; used.push_back(0); long long ans = 0; for (int i = 1; i <= s; i++) { if (!flag[i]) { if (vl[i] > 0) ans += vl[i]; } else flag[i] = used.size(), used.push_back(i); } int cnt = used.size(); cnt--; S = cnt + 1; T = cnt + 2; G.init(); for (int i = 1; i <= cnt; i++) { if (vl[used[i]] >= 0) G.addedge(S, i, vl[used[i]]), ans += vl[used[i]]; else G.addedge(i, T, -vl[used[i]]); } for (int i = 1; i <= K; i++) G.addedge(flag[dpd[i].s], flag[dpd[i].e], INF); printf("%lld\n", ans - G.dinic()); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 1000002013; const double pi = atan(1.0) * 4.0; const double eps = 1e-8; long long gcd(long long x, long long y) { return y ? gcd(y, x % y) : x; } int bc(int n) { return n ? bc((n - 1) & n) + 1 : 0; } const int N = 100001; int i, j, k, m, n, h; string s; int d[101][101]; int attackx[N], attacka[N], attackd[N], attackp[N], profit[N], basen; vector<pair<int, int> > bases[N]; int dead[N]; vector<int> depends1[N], depends2[N]; void DFS(int i) { if (dead[i]) return; dead[i] = 1; for (int j : depends2[i]) { DFS(j); } } vector<int> adj[2002]; long long a[2002][2002], v[2002], t; int rec(int i, long long fl) { v[i] = 1; if (i == t) return 1; for (int j : adj[i]) if (a[i][j] >= fl && !v[j] && rec(j, fl)) { a[i][j] -= fl; a[j][i] += fl; return 1; } return 0; } long long Flow() { long long ret = 0; long long fl = 1e18; while (fl) { for (i = 0; i <= t; i++) v[i] = 0; if (rec(0, fl)) ret += fl; else fl /= 2; } return ret; } void AddEdge(int i, int j, long long f) { a[i][j] = f; adj[i].push_back(j); adj[j].push_back(i); } int main() { cin >> n >> m; for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) d[i][j] = (i != j) * inf; for (int i = 1; i <= m; i++) { cin >> j >> k; d[j][k] = d[k][j] = 1; } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); cin >> m >> basen >> k; for (int i = 1; i <= m; i++) cin >> attackx[i] >> attacka[i] >> attackd[i] >> attackp[i]; for (int tt = 1; tt <= basen; tt++) { pair<int, int> p; cin >> i >> p.first >> p.second; p.second *= -1; bases[i].push_back(p); } while (k--) { int s1, s2; cin >> s1 >> s2; depends1[s1].push_back(s2); depends2[s2].push_back(s1); } for (int i = 1; i <= n; i++) if (!bases[i].empty()) { sort(bases[i].begin(), bases[i].end()); vector<pair<int, int> > newbases; for (pair<int, int>& p : bases[i]) { p.second *= -1; if (newbases.empty()) { newbases.push_back(p); } else if (p.second > newbases.back().second) newbases.push_back(p); } bases[i] = newbases; } for (int i = 1; i <= m; i++) { profit[i] = -inf; for (int j = 1; j <= n; j++) if (attackd[i] >= d[attackx[i]][j] && !bases[j].empty()) { auto it = upper_bound(bases[j].begin(), bases[j].end(), pair<int, int>(attacka[i], inf)); if (it != bases[j].begin()) { it--; profit[i] = max(profit[i], it->second); } } } for (int i = 1; i <= m; i++) if (profit[i] < 0) DFS(i); long long ans = 0; for (int i = 1; i <= m; i++) if (!dead[i] && depends1[i].empty() && depends2[i].empty()) { dead[i] = 1; if (profit[i] > attackp[i]) ans += profit[i] - attackp[i]; } t = 0; map<int, int> M; for (int i = 1; i <= m; i++) if (!dead[i]) { M[i] = ++t; } t++; long long pSum = 0, aSum = 0; for (int i = 1; i <= m; i++) if (!dead[i]) { pSum += profit[i]; aSum += attackp[i]; AddEdge(0, M[i], profit[i]); AddEdge(M[i], t, attackp[i]); for (int j : depends1[i]) if (!dead[j]) { AddEdge(M[i], M[j], 1e18); } } long long z = Flow(); ans += pSum - z; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dist[100][100]; const int nax = 1e5 + 10; vector<pair<int, int>> base[nax]; struct Ship { int x, a, f; long long p; }; Ship ship[nax]; int easiest_base[100]; struct Edge { int end; long long cap; }; vector<Edge> edges; vector<int> node[nax]; void addEdge(int a, int b, long long w) { node[a].push_back(edges.size()); edges.push_back({b, w}); node[b].push_back(edges.size()); edges.push_back({a, 0}); } int done[nax]; long long maxFlow(int p, int sink, long long ma = 1e18) { if (p == sink) return ma; if (ma == 0 || done[p]++) return 0; for (int ei : node[p]) { Edge& e = edges[ei]; long long flow; if (e.cap && (flow = maxFlow(e.end, sink, min(ma, e.cap)))) { edges[ei].cap -= flow; edges[ei ^ 1].cap += flow; return flow; } } return 0; } int has_edge[nax]; int main() { ios::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) dist[i][j] = i == j ? 0 : 1e9; while (m--) { int a, b; cin >> a >> b; a--, b--; dist[a][b] = dist[b][a] = 1; } for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); int ships, bases, deps; cin >> ships >> bases >> deps; for (int i = 0; i < ships; i++) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p; ship[i].x--; } fill_n(easiest_base, n, 1e9 + 10); for (int i = 0; i < bases; i++) { int x, d, g; cin >> x >> d >> g; x--; base[x].push_back({d, g}); easiest_base[x] = min(easiest_base[x], d); } for (int i = 0; i < n; i++) { sort(base[i].begin(), base[i].end()); vector<pair<int, int>> comp = {{0, 0}}; for (auto p : base[i]) { if (p.second <= comp.back().second) continue; if (p.first == comp.back().first) comp.pop_back(); comp.push_back(p); } base[i] = comp; } int source = ships, sink = ships + 1, N = ships + 2; long long sum = 0; for (int i = 0; i < deps; i++) { int a, b; cin >> a >> b; a--, b--; addEdge(a, b, 1e18); has_edge[a] = has_edge[b] = 1; } for (int i = 0; i < ships; i++) { int most_gold = -1; for (int j = 0; j < n; j++) { if (easiest_base[j] > ship[i].a || dist[ship[i].x][j] > ship[i].f) continue; int gold = prev(upper_bound(base[j].begin(), base[j].end(), make_pair(ship[i].a, (int)2e9))) ->second; most_gold = max(most_gold, gold); } if (!has_edge[i]) { sum += max(most_gold - ship[i].p, 0ll); continue; } if (most_gold == -1) ship[i].p = 1e15; else { addEdge(source, i, most_gold); sum += most_gold; } addEdge(i, sink, ship[i].p); } long long flow = 0; while (1) { fill_n(done, N, 0); long long newflow = maxFlow(source, sink); if (!newflow) break; flow += newflow; } cout << sum - flow << endl; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100100; const long long INFTY = 1LL << 60; int N, M, S, B, K; long long dist[105][105]; long long maxG[105]; int spos[MAXN], fuel[MAXN], price[MAXN]; int bpos[MAXN], gold[MAXN]; long long profit[MAXN]; vector<tuple<int, int, int> > E; struct Edge { int u, v; long long cap, flow; Edge() {} Edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; struct Dinic { const static long long INFTY = 1LL << 60; int N; vector<Edge> E; vector<vector<int> > g; vector<int> d, pt; Dinic(int N) : N(N), E(0), g(N), d(N), pt(N) {} void addEdge(int u, int v, long long cap) { if (u != v) { E.push_back(Edge(u, v, cap)); g[u].push_back(E.size() - 1); E.push_back(Edge(v, u, 0)); g[v].push_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q; q.push(S); fill(d.begin(), d.end(), N + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int k : g[u]) { Edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.push(e.v); } } } return d[T] != N + 1; } long long DFS(int u, int T, long long flow = INFTY) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { Edge &e = E[g[u][i]]; Edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = min(flow, e.cap - e.flow); if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long maxFlow(int S, int T) { long long total = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) total += flow; } return total; } }; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> N >> M; for (int i = 1; i <= N; i++) for (int j = i + 1; j <= N; j++) dist[i][j] = dist[j][i] = INFTY; for (int i = 0, a, b; i < M; i++) { cin >> a >> b; if (a != b) dist[a][b] = dist[b][a] = 1; } for (int k = 1; k <= N; k++) for (int i = 1; i <= N; i++) for (int j = 1; j <= N; j++) dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); cin >> S >> B >> K; for (int i = 1, a; i <= S; i++) { cin >> spos[i] >> a >> fuel[i] >> price[i]; E.emplace_back(a, 1, i); } for (int i = 1, d; i <= B; i++) { cin >> bpos[i] >> d >> gold[i]; E.emplace_back(d, 0, i); } for (int i = 1; i <= S; i++) profit[i] = -INFTY; for (int i = 1; i <= N; i++) maxG[i] = -INFTY; sort(E.begin(), E.end()); for (tuple<int, int, int> e : E) { int power, type, idx; tie(power, type, idx) = e; if (type == 0) maxG[bpos[idx]] = max(maxG[bpos[idx]], (long long)gold[idx]); else { for (int i = 1; i <= N; i++) if (fuel[idx] >= dist[spos[idx]][i]) profit[idx] = max(profit[idx], maxG[i] - price[idx]); } } Dinic dinic(S + 2); long long ans = 0; for (int i = 1; i <= S; i++) { if (profit[i] > 0) { dinic.addEdge(0, i, profit[i]); ans += profit[i]; } else dinic.addEdge(i, S + 1, -profit[i]); } for (int i = 0, a, b; i < K; i++) { cin >> a >> b; dinic.addEdge(a, b, INFTY); } cout << ans - dinic.maxFlow(0, S + 1) << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e17; const long long maxn = 100015; const long long maxm = 1000005; long long g[105][105]; long long num[maxn]; long long id[maxn]; long long cnt; void floyed(long long n) { for (long long k = 1; k <= n; k++) { for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= n; j++) { g[i][j] = min(g[i][j], g[i][k] + g[k][j]); } } } }; inline long long read() { long long x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = x * 10 + ch - '0'; ch = getchar(); } return x * f; } struct Edge { long long to, next, cap, flow; } edge[maxm]; long long tol, head[maxn]; void init() { tol = 2; memset(head, -1, sizeof(head)); } void addedge(long long u, long long v, long long w, long long rw = 0) { edge[tol].to = v; edge[tol].cap = w; edge[tol].flow = 0; edge[tol].next = head[u]; head[u] = tol++; edge[tol].to = u; edge[tol].cap = rw; edge[tol].flow = 0; edge[tol].next = head[v]; head[v] = tol++; } long long Q[maxn]; long long dep[maxn], cur[maxn], sta[maxn]; bool bfs(long long s, long long t, long long n) { long long front = 0, tail = 0; memset(dep, -1, sizeof(dep[0]) * (n + 1)); dep[s] = 0; Q[tail++] = s; while (front < tail) { long long u = Q[front++]; for (long long i = head[u]; i != -1; i = edge[i].next) { long long v = edge[i].to; if (edge[i].cap > edge[i].flow && dep[v] == -1) { dep[v] = dep[u] + 1; if (v == t) { return true; } Q[tail++] = v; } } } return false; } long long dinic(long long s, long long t, long long n) { long long maxflow = 0; while (bfs(s, t, n)) { for (long long i = 0; i < n; i++) { cur[i] = head[i]; } long long u = s, tail = 0; while (cur[s] != -1) { if (u == t) { long long tp = INF; for (long long i = tail - 1; i >= 0; i--) { tp = min(tp, edge[sta[i]].cap - edge[sta[i]].flow); } maxflow += tp; for (long long i = tail - 1; i >= 0; i--) { edge[sta[i]].flow += tp; edge[sta[i] ^ 1].flow -= tp; if (edge[sta[i]].cap - edge[sta[i]].flow == 0) { tail = i; } } u = edge[sta[tail] ^ 1].to; } else if (cur[u] != -1 && edge[cur[u]].cap > edge[cur[u]].flow && dep[u] + 1 == dep[edge[cur[u]].to]) { sta[tail++] = cur[u]; u = edge[cur[u]].to; } else { while (u != s && cur[u] == -1) { u = edge[sta[--tail] ^ 1].to; } cur[u] = edge[cur[u]].next; } } } return maxflow; } long long fuckacm[100005]; long long ps[105]; long long shipos[maxn], atk[maxn], f[maxn], p[maxn], baspos[maxn], d[maxn], gold[maxn], val[maxn], D[maxn]; bool svis[maxn]; vector<pair<long long, long long> > v1[105]; long long e[maxn][2]; bool cmp(long long x, long long y) { return atk[x] < atk[y]; } long long ans = 0; signed main() { long long n, m, u, v, s, b, k; n = read(), m = read(); for (long long i = 1; i <= n; i++) { for (long long j = 1; j <= n; j++) { if (i == j) g[i][j] = 0; else g[i][j] = g[j][i] = INF; } } for (long long i = 1; i <= m; i++) { u = read(), v = read(); g[u][v] = g[v][u] = 1; } floyed(n); s = read(), b = read(), k = read(); for (long long i = 1; i <= s; i++) { shipos[i] = read(), atk[i] = read(), f[i] = read(), p[i] = read(); id[i] = i; } for (long long i = 1; i <= b; i++) { baspos[i] = read(), d[i] = read(), gold[i] = read(); v1[baspos[i]].emplace_back(pair<long long, long long>(d[i], gold[i])); } sort(id + 1, id + 1 + s, cmp); for (long long i = 1; i <= n; i++) { sort(v1[i].begin(), v1[i].end()); ps[i] = 0; for (long long j = 1; j < v1[i].size(); j++) { v1[i][j].second = max(v1[i][j].second, v1[i][j - 1].second); } } for (long long I = 1; I <= s; I++) { long long i = id[I]; long long ma = -INF; for (long long j = 1; j <= n; j++) { if (g[shipos[i]][j] <= f[i]) { if (v1[j].empty()) continue; while (ps[j] < v1[j].size() - 1 && v1[j][ps[j] + 1].first <= atk[i]) ps[j]++; if (v1[j][ps[j]].first <= atk[i]) ma = max(ma, v1[j][ps[j]].second); } } val[i] = ma - p[i]; if (val[i] > 0) ans += val[i]; } for (long long i = 1; i <= k; i++) { e[i][0] = read(), e[i][1] = read(); D[e[i][0]]++, D[e[i][1]]++; } long long S = 2015 + 1, T = S + 1; init(); for (long long i = 1; i <= s; i++) { if (D[i]) id[i] = ++cnt; } for (long long i = 1; i <= s; i++) { if (D[i]) { if (val[i] > 0) addedge(S, id[i], val[i]); else addedge(id[i], T, -val[i]); } } for (long long i = 1; i <= k; i++) { addedge(id[e[i][0]], id[e[i][1]], INF); } ans -= dinic(S, T, T + 1); cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; class Dinic { private: struct Edge { long long to, cap, rev; Edge(long long t, long long c, long long r) : to(t), cap(c), rev(r) {} }; long long V; std::vector<std::vector<Edge>> graph; std::vector<long long> level, iter; public: Dinic(long long v) : V(v) { graph.resize(v); level.resize(v, -1); iter.resize(v, 0); } void add_edge(long long from, long long to, long long cap) { graph[from].emplace_back(to, cap, graph[to].size()); graph[to].emplace_back(from, 0, graph[from].size() - 1); } void bfs(long long s) { std::fill(level.begin(), level.end(), -1); std::queue<long long> queue; level[s] = 0; queue.push(s); while (!queue.empty()) { long long v = queue.front(); queue.pop(); for (long long i = 0; i < (long long)graph[v].size(); ++i) { Edge& e = graph[v][i]; if (e.cap > 0 && level[e.to] < 0) { level[e.to] = level[v] + 1; queue.push(e.to); } } } } long long dfs(long long v, long long t, long long f) { if (v == t) return f; for (long long& i = iter[v]; i < (long long)graph[v].size(); ++i) { Edge& e = graph[v][i]; if (e.cap > 0 && level[v] < level[e.to]) { long long d = dfs(e.to, t, std::min(f, e.cap)); if (d > 0) { e.cap -= d; graph[e.to][e.rev].cap += d; return d; } } } return 0; } long long max_flow(long long s, long long t) { long long res = 0; while (true) { bfs(s); if (level[t] < 0) return res; std::fill(iter.begin(), iter.end(), 0); long long f; while ((f = dfs(s, t, LLONG_MAX)) > 0) { res += f; } } } }; long long dist[200][200]; long long x[200000], a[200000], f[200000], p[200000]; long long y[200000], d[200000], g[200000]; vector<pair<long long, long long>> v[200][200]; bool used[200000]; long long s1[2000], s2[2000]; signed main() { long long n, m; cin >> n >> m; memset(d, 0x3f, sizeof(d)); for (long long i = 0; i < (n); i++) dist[i][i] = 0; for (long long i = 0; i < (m); i++) { long long a, b; scanf("%lld%lld", &a, &b); a--; b--; if (a == b) continue; dist[a][b] = dist[b][a] = 1; } for (long long k = 0; k < (n); k++) for (long long i = 0; i < (n); i++) for (long long j = 0; j < (n); j++) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } long long s, b, k; scanf("%lld%lld%lld", &s, &b, &k); for (long long i = 0; i < (s); i++) { scanf("%lld%lld%lld%lld", &x[i], &a[i], &f[i], &p[i]); x[i]--; } for (long long i = 0; i < (b); i++) { scanf("%lld%lld%lld", &y[i], &d[i], &g[i]); y[i]--; } for (long long i = 0; i < (k); i++) { scanf("%lld%lld", &s1[i], &s2[i]); s1[i]--; s2[i]--; used[s1[i]] = used[s2[i]] = true; } for (long long i = 0; i < (n); i++) { for (long long j = 0; j < (b); j++) { if (dist[i][y[j]] != 0x3f3f3f3f3f3f3f3f) { v[i][dist[i][y[j]]].push_back(pair<long long, long long>(d[j], g[j])); } } for (long long j = 0; j < (n); j++) { sort(v[i][j].begin(), v[i][j].end(), [](pair<long long, long long> a, pair<long long, long long> b) { if (a.first == b.first) return a.second > b.second; return a.first < b.first; }); vector<pair<long long, long long>> u; for (pair<long long, long long> p : v[i][j]) { if (u.empty() || u.back().second < p.second) u.push_back(p); } v[i][j] = u; } } long long ans = 0; vector<long long> vs; for (long long i = 0; i < (s); i++) { if (used[i]) vs.push_back(i); } sort(vs.begin(), vs.end()); vs.erase(unique(vs.begin(), vs.end()), vs.end()); Dinic dinic(vs.size() + 2); for (long long i = 0; i < (s); i++) { long long Max = -1; for (long long j = 0; j < (min(n, f[i] + 1)); j++) { long long it = upper_bound(v[x[i]][j].begin(), v[x[i]][j].end(), pair<long long, long long>(a[i], INT_MAX)) - v[x[i]][j].begin(); if (it) { it--; Max = max(Max, v[x[i]][j][it].second); } } if (!used[i]) { if (Max - p[i] > 0) ans += Max - p[i]; } else { long long id = lower_bound(vs.begin(), vs.end(), i) - vs.begin(); if (Max == -1) { dinic.add_edge(vs.size(), id, 0); dinic.add_edge(id, vs.size() + 1, LLONG_MAX / 100000); } else if (Max - p[i] > 0) { ans += Max - p[i]; dinic.add_edge(vs.size(), id, Max - p[i]); dinic.add_edge(id, vs.size() + 1, 0); } else { dinic.add_edge(vs.size(), id, 0); dinic.add_edge(id, vs.size() + 1, p[i] - Max); } } } for (long long i = 0; i < (k); i++) { long long S1 = lower_bound(vs.begin(), vs.end(), s1[i]) - vs.begin(); long long S2 = lower_bound(vs.begin(), vs.end(), s2[i]) - vs.begin(); if (S1 == S2) continue; dinic.add_edge(S1, S2, LLONG_MAX / 100000); } cout << ans - dinic.max_flow(vs.size(), vs.size() + 1) << endl; }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v; long long cap, flow; Edge() {} Edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; struct Dinic { int N; vector<Edge> E; vector<vector<int>> g; vector<int> d, pt; Dinic(int N) : N(N), E(0), g(N), d(N), pt(N) {} void AddEdge(int u, int v, long long cap) { if (u != v) { E.emplace_back(Edge(u, v, cap)); g[u].emplace_back(E.size() - 1); E.emplace_back(Edge(v, u, 0)); g[v].emplace_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q({S}); fill(d.begin(), d.end(), N + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int k : g[u]) { Edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.emplace(e.v); } } } return d[T] != N + 1; } long long DFS(int u, int T, long long flow = -1) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { Edge &e = E[g[u][i]]; Edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = e.cap - e.flow; if (flow != -1 && amt > flow) amt = flow; if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long MaxFlow(int S, int T) { long long total = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) total += flow; } return total; } }; struct ship_t { long long x, a, f, p; }; struct base_t { long long x, d, g; bool operator<(const base_t &o) const { return d < o.d; } }; const int N = 1e2 + 10, S = 1e5 + 10; const long long inf = 1e12 + 42; ship_t ship[S]; base_t base[S]; long long g[N][N]; vector<int> dep[S]; vector<pair<long long, long long>> bases_at[N]; bool seen[S]; long long val[S]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); ; int n, m; cin >> n >> m; for (int i = 1; i <= n; ++i) { for (int j = i + 1; j <= n; ++j) { g[i][j] = g[j][i] = inf; } } for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; g[u][v] = g[v][u] = min(g[u][v], 1ll); } for (int k = 1; k <= n; ++k) { for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { g[i][j] = min(g[i][j], g[i][k] + g[k][j]); } } } int s, b, k; cin >> s >> b >> k; for (int i = 1; i <= s; ++i) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p; } for (int i = 1; i <= b; ++i) { cin >> base[i].x >> base[i].d >> base[i].g; } sort(base + 1, base + 1 + b); for (int i = 1; i <= b; ++i) { int p = base[i].x; if (bases_at[p].empty() or bases_at[p].back().second < base[i].g) { bases_at[p].push_back({base[i].d, base[i].g}); } } Dinic dinic(s + 2); int source = 0, sink = s + 1; long long ans = 0; for (int i = 1; i <= s; ++i) { bool found = false; for (int p = 1; p <= n; ++p) { if (g[ship[i].x][p] > ship[i].f) { continue; } auto it = upper_bound(bases_at[p].begin(), bases_at[p].end(), make_pair(ship[i].a, inf)); if (it != bases_at[p].begin()) { --it; val[i] = max(val[i], it->second); found = true; } } val[i] -= ship[i].p; if (!found) { val[i] = -inf; } if (val[i] >= 0) { ans += val[i]; dinic.AddEdge(source, i, val[i]); } else { dinic.AddEdge(i, sink, -val[i]); } } for (int i = 1; i <= k; ++i) { int u, v; cin >> u >> v; dep[u].push_back(v); } for (int i = 1; i <= s; ++i) { if (val[i] < 0) { continue; } vector<int> vis = {i}; queue<int> q; q.push(i); seen[i] = true; while (!q.empty()) { int u = q.front(); q.pop(); if (val[u] < 0) { dinic.AddEdge(i, u, inf); } for (auto &v : dep[u]) { if (!seen[v]) { seen[v] = true; vis.push_back(v); q.push(v); } } } for (auto &u : vis) { seen[u] = false; } } cout << ans - dinic.MaxFlow(source, sink); }
#include <bits/stdc++.h> using namespace std; const long long mod = 1000000007; const long long INF = 100000000000000; const long double eps = 1e-8; struct edge { int to; long long cap; int rev; }; vector<edge> G[100000]; bool used[100000]; void add_edge(int from, int to, long long cap) { G[from].push_back(edge{to, cap, (int)G[to].size()}); G[to].push_back(edge{from, 0, (int)G[from].size() - 1}); } long long dfs(int v, int t, long long f) { if (v == t) return f; used[v] = true; for (int i = 0; i < (int)G[v].size(); i++) { edge &e = G[v][i]; if (!used[e.to] && e.cap > 0) { int d = dfs(e.to, t, min(f, e.cap)); if (d > 0) { e.cap -= d; G[e.to][e.rev].cap += d; return d; } } } return 0; } long long max_flow(int s, int t) { long long flow = 0; for (;;) { memset(used, 0, sizeof(used)); long long f = dfs(s, t, INF); if (f == 0) return flow; flow += f; } } int distr[101][101]; void solve() { int n, m; cin >> n >> m; for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { if (i == j) distr[i][j] = 0; else distr[i][j] = mod; } } for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; a--; b--; distr[a][b] = distr[b][a] = 1; } for (int k = 0; k < n; k++) { for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { distr[i][j] = min(distr[i][j], distr[i][k] + distr[k][j]); } } } int nl, nr, nrel; cin >> nl >> nr >> nrel; vector<int> xl(nl), a(nl), f(nl), p(nl); vector<int> xr(nr), b(nr), g(nr); for (int i = 0; i < nl; i++) { cin >> xl[i] >> a[i] >> f[i] >> p[i]; xl[i]--; } for (int i = 0; i < nr; i++) { cin >> xr[i] >> b[i] >> g[i]; xr[i]--; } vector<pair<int, int>> rel(nrel); for (int i = 0; i < nrel; i++) { int u, v; cin >> u >> v; u--; v--; rel[i] = {u, v}; } vector<vector<pair<int, int>>> vb(n); for (int i = 0; i < nr; i++) { vb[xr[i]].push_back({b[i], g[i]}); } vector<vector<int>> bb(n), hg(n); for (int i = 0; i < n; i++) { sort(vb[i].begin(), vb[i].end()); bb[i].resize(vb[i].size()); hg[i].resize(vb[i].size() + 1); int ma = -2 * mod; for (int j = 0; j < (int)vb[i].size(); j++) { bb[i][j] = vb[i][j].first; hg[i][j] = ma; ma = max(ma, vb[i][j].second); } hg[i][vb[i].size()] = ma; } vector<bool> cant(nl, false); vector<long long> val(nl); for (int i = 0; i < nl; i++) { int maval = -2 * mod; for (int j = 0; j < n; j++) { int d = distr[xl[i]][j]; if (d > f[i]) continue; int id = upper_bound(bb[j].begin(), bb[j].end(), a[i]) - bb[j].begin(); maval = max(maval, hg[j][id]); } if (maval == -2 * mod) { cant[i] = true; } val[i] = (long long)maval - (long long)p[i]; } vector<bool> exi(nl, false); for (int i = 0; i < nrel; i++) { int u = rel[i].first, v = rel[i].second; exi[u] = exi[v] = true; } vector<int> ids; vector<int> trans(nl); long long ans = 0; for (int i = 0; i < nl; i++) { if (!exi[i]) { ans += max((long long)0, val[i]); } else { trans[i] = ids.size(); ids.push_back(i); } } int s = ids.size(); int t = s + 1; for (int i = 0; i < ids.size(); i++) { int id = ids[i]; long long cost = val[id]; if (cost < 0) { add_edge(s, i, -cost); add_edge(i, t, 0); } else { add_edge(s, i, 0); add_edge(i, t, cost); } if (cant[id]) { add_edge(s, i, INF); } } for (int i = 0; i < nrel; i++) { int u = rel[i].first, v = rel[i].second; u = trans[u], v = trans[v]; add_edge(v, u, INF); } long long sum = 0; for (int i = 0; i < ids.size(); i++) { if (val[ids[i]] >= 0) { sum += val[ids[i]]; } } long long z = max_flow(s, t); sum -= z; ans += sum; cout << ans << endl; } signed main() { ios::sync_with_stdio(false); cin.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; int gcd(int a, int b) { return b == 0 ? a : gcd(b, a % b); } const int MAXN = 100; const int MAXSHIP = 100000; const int MAXBASE = 100000; const int MAXDEP = 1000; const int MAXGN = 2 + MAXSHIP; const int MAXGM = MAXSHIP + MAXDEP; typedef struct MF { int n, m; int ghead[MAXGN], gnxt[2 * MAXGM], gto[2 * MAXGM]; long long gcap[2 * MAXGM]; void init(int _n) { n = _n, m = 0; for (int i = (0); i < (n); ++i) ghead[i] = -1; } void addedge(int a, int b, long long c) { gnxt[2 * m + 0] = ghead[a], ghead[a] = 2 * m + 0, gto[2 * m + 0] = b, gcap[2 * m + 0] = c; gnxt[2 * m + 1] = ghead[b], ghead[b] = 2 * m + 1, gto[2 * m + 1] = a, gcap[2 * m + 1] = 0; ++m; } int d[MAXGN]; int q[MAXGN], qhead, qtail; int cur[MAXGN]; long long dinic(int s, int t) { long long ret = 0; int niter = 0; while (true) { for (int i = (0); i < (n); ++i) d[i] = INT_MAX; qhead = qtail = 0; d[s] = 0, q[qhead++] = s; while (qtail < qhead && d[t] == INT_MAX) { int at = q[qtail++]; for (int x = ghead[at]; x != -1; x = gnxt[x]) { int to = gto[x]; if (gcap[x] == 0 || d[to] != INT_MAX) continue; d[to] = d[at] + 1; q[qhead++] = to; } } if (d[t] == INT_MAX) return ret; for (int i = (0); i < (n); ++i) cur[i] = ghead[i]; ret += dfs(s, t, LLONG_MAX); ++niter; } } long long dfs(int at, int t, long long rem) { long long ret = 0; if (at == t) return rem; if (d[at] >= d[t]) return 0; for (; cur[at] != -1; cur[at] = gnxt[cur[at]]) { int to = gto[cur[at]]; long long cap = gcap[cur[at]]; if (d[to] != d[at] + 1 || cap == 0) continue; long long now = dfs(to, t, min(cap, rem)); rem -= now; ret += now; if (gcap[cur[at]] != LLONG_MAX) gcap[cur[at]] -= now; if (gcap[cur[at] ^ 1] != LLONG_MAX) gcap[cur[at] ^ 1] += now; if (rem == 0) return ret; } return ret; } } MF; MF g; struct Ship { int pos, attack, fuel, cost; }; struct Base { int pos, defense, gold; }; bool operator<(const Base &a, const Base &b) { if (a.gold != b.gold) return a.gold > b.gold; return a.defense < b.defense; } int n, m; int d[MAXN][MAXN]; int nship, nbase, ndep; Ship ship[MAXSHIP]; Base base[MAXBASE]; vector<int> dep[MAXSHIP]; vector<Base> opt[MAXN]; long long best[MAXSHIP]; vector<int> rdep[MAXSHIP]; bool alive[MAXSHIP]; int q[MAXSHIP], qhead, qtail; int nid, sid, tid, shipid[MAXSHIP]; long long solve() { for (int i = (0); i < (nbase); ++i) opt[base[i].pos].push_back(base[i]); for (int i = (0); i < (n); ++i) sort(opt[i].begin(), opt[i].end()); for (int i = (0); i < (n); ++i) { int nsz = 0; for (int j = (0); j < (((int)(opt[i]).size())); ++j) if (nsz == 0 || opt[i][j].defense < opt[i][nsz - 1].defense) opt[i][nsz++] = opt[i][j]; opt[i].resize(nsz); } for (int i = (0); i < (nship); ++i) best[i] = LLONG_MIN; for (int i = (0); i < (nship); ++i) for (int j = (0); j < (n); ++j) if (d[ship[i].pos][j] <= ship[i].fuel && ((int)(opt[j]).size()) > 0 && ship[i].attack >= opt[j].back().defense) { int l = -1, r = ((int)(opt[j]).size()) - 1; while (l + 1 < r) { int m = l + (r - l) / 2; if (ship[i].attack >= opt[j][m].defense) r = m; else l = m; } best[i] = max(best[i], (long long)opt[j][r].gold - ship[i].cost); } for (int i = (0); i < (nship); ++i) for (int j = (0); j < (((int)(dep[i]).size())); ++j) { int k = dep[i][j]; rdep[k].push_back(i); } qhead = qtail = 0; for (int i = (0); i < (nship); ++i) { alive[i] = best[i] != LLONG_MIN; if (!alive[i]) q[qhead++] = i; } while (qtail < qhead) { int at = q[qtail++]; for (int i = (0); i < (((int)(rdep[at]).size())); ++i) { int to = rdep[at][i]; if (alive[to]) alive[to] = false, q[qhead++] = to; } } nid = 0, sid = nid++, tid = nid++; for (int i = (0); i < (nship); ++i) if (!alive[i]) shipid[i] = -1; else shipid[i] = nid++; g.init(nid); long long sum = 0; for (int i = (0); i < (nship); ++i) if (alive[i]) { if (best[i] > 0) sum += best[i], g.addedge(sid, shipid[i], best[i]); if (best[i] < 0) g.addedge(shipid[i], tid, -best[i]); } for (int i = (0); i < (nship); ++i) for (int j = (0); j < (((int)(dep[i]).size())); ++j) { int k = dep[i][j]; if (!alive[i]) continue; assert(alive[k]); g.addedge(shipid[i], shipid[k], LLONG_MAX); } long long flow = g.dinic(sid, tid); return sum - flow; } void run() { scanf("%d%d", &n, &m); for (int i = (0); i < (n); ++i) for (int j = (0); j < (n); ++j) d[i][j] = i == j ? 0 : INT_MAX; for (int i = (0); i < (m); ++i) { int a, b; scanf("%d%d", &a, &b); --a, --b; d[a][b] = min(d[a][b], 1); d[b][a] = min(d[b][a], 1); } for (int k = (0); k < (n); ++k) for (int i = (0); i < (n); ++i) for (int j = (0); j < (n); ++j) if (d[i][k] != INT_MAX && d[k][j] != INT_MAX) d[i][j] = min(d[i][j], d[i][k] + d[k][j]); scanf("%d%d%d", &nship, &nbase, &ndep); for (int i = (0); i < (nship); ++i) scanf("%d%d%d%d", &ship[i].pos, &ship[i].attack, &ship[i].fuel, &ship[i].cost), --ship[i].pos; for (int i = (0); i < (nbase); ++i) scanf("%d%d%d", &base[i].pos, &base[i].defense, &base[i].gold), --base[i].pos; for (int i = (0); i < (ndep); ++i) { int a, b; scanf("%d%d", &a, &b); --a, --b; dep[a].push_back(b); } printf("%lld\n", solve()); } int main() { run(); return 0; }
#include <bits/stdc++.h> using namespace std; const int MOD = (int)1e9 + 7; const int FFTMOD = 119 << 23 | 1; const int INF = (int)1e9 + 23111992; const long long LINF = (long long)1e18 + 23111992; const long double PI = acos((long double)-1); const long double EPS = 1e-9; inline long long gcd(long long a, long long b) { long long r; while (b) { r = a % b; a = b; b = r; } return a; } inline long long lcm(long long a, long long b) { return a / gcd(a, b) * b; } inline long long fpow(long long n, long long k, int p = MOD) { long long r = 1; for (; k; k >>= 1) { if (k & 1) r = r * n % p; n = n * n % p; } return r; } template <class T> inline int chkmin(T& a, const T& val) { return val < a ? a = val, 1 : 0; } template <class T> inline int chkmax(T& a, const T& val) { return a < val ? a = val, 1 : 0; } inline unsigned long long isqrt(unsigned long long k) { unsigned long long r = sqrt(k) + 1; while (r * r > k) r--; return r; } inline long long icbrt(long long k) { long long r = cbrt(k) + 1; while (r * r * r > k) r--; return r; } inline void addmod(int& a, int val, int p = MOD) { if ((a = (a + val)) >= p) a -= p; } inline void submod(int& a, int val, int p = MOD) { if ((a = (a - val)) < 0) a += p; } inline int mult(int a, int b, int p = MOD) { return (long long)a * b % p; } inline int inv(int a, int p = MOD) { return fpow(a, p - 2, p); } inline int sign(long double x) { return x < -EPS ? -1 : x > +EPS; } inline int sign(long double x, long double y) { return sign(x - y); } mt19937 mt(chrono::high_resolution_clock::now().time_since_epoch().count()); inline int mrand() { return abs((int)mt()); } const long long foo = (long long)1e18; namespace Maxflow { const int maxv = 2e5 + 5; const int maxe = 1e7 + 5; int n, s, t, E; int adj[maxe], nxt[maxe], lst[maxv], ptr[maxv], lev[maxv], que[maxv]; long long flw[maxe], cap[maxe]; void init(int nn, int ss, int tt) { n = nn, s = ss, t = tt, E = 0; fill_n(lst, n, -1); } void add(int u, int v, long long c1, long long c2) { adj[E] = v, flw[E] = 0, cap[E] = c1, nxt[E] = lst[u], lst[u] = E++; adj[E] = u, flw[E] = 0, cap[E] = c2, nxt[E] = lst[v], lst[v] = E++; } int bfs() { fill_n(lev, n, 0), lev[s] = 1; int qsize = 0; que[qsize++] = s; for (int i = 0; i < qsize; i++) { for (int u = que[i], e = lst[u]; ~e; e = nxt[e]) { int v = adj[e]; if (flw[e] < cap[e] && !lev[v]) { lev[v] = lev[u] + 1; que[qsize++] = v; } } } return lev[t]; } long long dfs(int u, long long bot) { if (u == t) return bot; for (int& e = ptr[u]; ~e; e = nxt[e]) { int v = adj[e]; long long delta = 0; if (lev[v] == lev[u] + 1 && flw[e] < cap[e] && (delta = dfs(v, min(bot, cap[e] - flw[e]))) > 0) { flw[e] += delta; flw[e ^ 1] -= delta; return delta; } } return 0; } long long maxflow(int ss = -1, int tt = -1) { if (~ss) s = ss; if (~tt) t = tt; fill_n(flw, E, 0); long long total = 0; while (bfs()) { for (int i = 0; i < n; i++) ptr[i] = lst[i]; for (long long delta = dfs(s, foo); delta > 0; delta = dfs(s, foo)) total += delta; } return total; } vector<pair<pair<int, int>, long long> > gomory_hu() { vector<pair<pair<int, int>, long long> > tree; vector<int> p(n); for (int u = 1; u < n; u++) { tree.push_back(make_pair(make_pair(p[u], u), maxflow(u, p[u]))); for (int v = u + 1; v < n; ++v) { if (lev[v] && p[v] == p[u]) { p[v] = u; } } } return tree; } } // namespace Maxflow void chemthan() { int n, m; cin >> n >> m; vector<vector<int> > d(n, vector<int>(n, INF)); for (int i = (0); i < (n); ++i) d[i][i] = 0; for (int i = (0); i < (m); ++i) { int u, v; cin >> u >> v; u--, v--; if (u ^ v) { d[u][v] = d[v][u] = 1; } } for (int w = (0); w < (n); ++w) for (int u = (0); u < (n); ++u) for (int v = (0); v < (n); ++v) chkmin(d[u][v], d[u][w] + d[w][v]); int s, b, k; cin >> s >> b >> k; vector<int> x(s), a(s), f(s), p(s); for (int i = (0); i < (s); ++i) { cin >> x[i] >> a[i] >> f[i] >> p[i], x[i]--; } vector<vector<pair<int, int> > > g(n); for (int i = (0); i < (b); ++i) { int x, d, gg; cin >> x >> d >> gg, x--; g[x].push_back(make_pair(d, gg)); } for (int u = (0); u < (n); ++u) { sort((g[u]).begin(), (g[u]).end()); for (int i = (1); i < (int((g[u]).size())); ++i) { chkmax(g[u][i].second, g[u][i - 1].second); } } vector<int> c(s), cc(s); for (int i = (0); i < (s); ++i) { for (int u = (0); u < (n); ++u) if (d[x[i]][u] <= f[i]) { int k = upper_bound((g[u]).begin(), (g[u]).end(), make_pair(a[i], INF)) - g[u].begin() - 1; if (0 <= k) { chkmax(c[i], g[u][k].second); cc[i] = 1; } } c[i] -= p[i]; } int tot = s, S = tot++, t = tot++; Maxflow::init(tot, S, t); long long res = 0; for (int i = (0); i < (s); ++i) { if (0 <= c[i]) { Maxflow::add(S, i, c[i], 0); res += c[i]; } else { Maxflow::add(i, t, -c[i], 0); } } for (int i = (0); i < (k); ++i) { int u, v; cin >> u >> v; u--, v--; Maxflow::add(u, v, LINF, 0); } for (int i = (0); i < (s); ++i) { if (!cc[i]) { Maxflow::add(i, t, LINF, 0); } } cout << res - Maxflow::maxflow() << "\n"; } int main(int argc, char* argv[]) { ios_base::sync_with_stdio(0), cin.tie(0); if (argc > 1) { assert(freopen(argv[1], "r", stdin)); } if (argc > 2) { assert(freopen(argv[2], "wb", stdout)); } chemthan(); cerr << "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n"; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> v[100005]; struct Dinic { static const int MXN = 250000; struct Edge { long long v, f, re; Edge(long long a, long long b, long long c) : v(a), f(b), re(c) {} }; int n, s, t, level[MXN]; vector<Edge> E[MXN]; void init(int _n, int _s, int _t) { n = _n; s = _s; t = _t; for (int i = 0; i <= n; i++) E[i].clear(); } void add_edge(int u, int v, long long f) { E[u].push_back(Edge(v, f, E[v].size())); E[v].push_back(Edge(u, 0, E[u].size() - 1)); } bool BFS() { memset(level, -1, sizeof(level)); queue<int> que; que.push(s); level[s] = 0; while (!que.empty()) { int u = que.front(); que.pop(); for (auto it : E[u]) { if (it.f > 0 && level[it.v] == -1) { level[it.v] = level[u] + 1; que.push(it.v); } } } return level[t] != -1; } long long DFS(int u, long long nf) { if (u == t) return nf; long long res = 0; for (auto &it : E[u]) { if (it.f > 0 && level[it.v] == level[u] + 1) { long long tf = DFS(it.v, min(nf, (long long)it.f)); res += tf; nf -= tf; it.f -= tf; E[it.v][it.re].f += tf; if (nf == 0) return res; } } if (!res) level[u] = -1; return res; } long long flow(long long res = 0) { while (BFS()) res += DFS(s, 1e18); return res; } } flow; int vis[100005], s; void go(int first, int t) { for (auto it : v[first]) { if (vis[it] != t) { flow.add_edge(t, it + s, 1e18); vis[it] = t; go(it, t); } } } int main() { int n, m; scanf("%d %d", &n, &m); int dis[105][105]; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) dis[i][j] = 1e9; dis[i][i] = 0; } for (int i = 0; i < m; i++) { int first, second; scanf("%d %d", &first, &second); dis[first][second] = dis[second][first] = 1; } for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { for (int k = 1; k <= n; k++) { dis[j][k] = min(dis[j][i] + dis[i][k], dis[j][k]); } } } int B, k; scanf("%d %d %d", &s, &B, &k); int first[100005], a[100005], f[100005], p[100005]; vector<pair<int, int> > base[105]; for (int i = 1; i <= s; i++) { scanf("%d %d %d %d", &first[i], &a[i], &f[i], &p[i]); } for (int i = 0; i < B; i++) { int a, b, c; scanf("%d %d %d", &a, &b, &c); base[a].push_back(make_pair(b, c)); } for (int i = 1; i <= n; i++) { sort(base[i].begin(), base[i].end()); vector<pair<int, int> > tmp = base[i]; base[i].clear(); base[i].push_back(make_pair(0, 0)); for (auto it : tmp) { if (it.second > base[i].back().second) { base[i].push_back(it); } } } int val[100005]; for (int i = 1; i <= s; i++) { val[i] = -p[i]; for (int j = 1; j <= n; j++) { if (dis[first[i]][j] <= f[i]) { val[i] = max(val[i], (lower_bound(base[j].begin(), base[j].end(), make_pair(a[i], 1000000009)) - 1) ->second - p[i]); } } } for (int i = 0; i < k; i++) { int a, b; scanf("%d %d", &a, &b); v[b].push_back(a); } flow.init(2 * s + 10, 0, 2 * s + 1); long long ans = 0; for (int i = 1; i <= s; i++) { if (val[i] > 0) { ans += val[i]; flow.add_edge(i + s, 2 * s + 1, val[i]); } else if (val[i] < 0) { if (val[i] == -p[i]) flow.add_edge(0, i, 1e18); else flow.add_edge(0, i, -val[i]); go(i, i); } } printf("%lld\n", ans - flow.flow()); }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast,no-stack-protector") #pragma GCC target( \ "sse,sse2,sse3,ssse3,sse4,sse4.1,sse4.2,popcnt,abm,mmx,avx,avx2,tune=native") using namespace std; struct Dinic { struct Edge { long long flow; int to, next; }; vector<Edge> edges; vector<int> adia, at, dist; int S, D; void add_Edge(int from, int to, long long cap) { edges.push_back({cap, to, adia[from]}); adia[from] = edges.size() - 1; edges.push_back({0, from, adia[to]}); adia[to] = edges.size() - 1; } bool bfs() { queue<int> q; fill(dist.begin(), dist.end(), 1e9); dist[S] = 0; q.push(S); while (!q.empty()) { int x = q.front(); q.pop(); for (int i = adia[x]; i != -1; i = edges[i].next) { if (dist[edges[i].to] > dist[x] + 1 && edges[i].flow) { dist[edges[i].to] = 1 + dist[x]; q.push(edges[i].to); } } } return dist[D] < 1e9; } long long dfs(int nod, long long fmax) { if (nod == D) return fmax; while (at[nod] != -1) { Edge& e = edges[at[nod]]; long long f; if (dist[e.to] == dist[nod] + 1 && e.flow && (f = dfs(e.to, min(fmax, e.flow)))) { e.flow -= f; edges[at[nod] ^ 1].flow += f; return f; } at[nod] = edges[at[nod]].next; } return 0; } long long GetFlow() { long long f = 0; while (bfs()) { at = adia; while (long long x = dfs(S, 1e18)) f += x; } return f; } Dinic(int n = 0, int s = 0, int d = 0) { S = s, D = d; at = dist = adia = vector<int>(n + 1, -1); } }; const int NMAX = 110; int dmin[NMAX][NMAX]; struct Object { int cost, nod, power, id, fuel, atac; }; vector<Object> ships, bases; vector<pair<int, int>> dependencies; int n; int best_cost[NMAX]; void get_cost_nave() { fill(best_cost, best_cost + n + 1, -1); vector<int> nv(ships.size()); iota(nv.begin(), nv.end(), 0); sort(nv.begin(), nv.end(), [](int a, int b) { return ships[a].power < ships[b].power; }); sort(bases.begin(), bases.end(), [](Object a, Object b) { return a.power < b.power; }); int it = 0; for (auto i : nv) { while (it != bases.size() && ships[i].power >= bases[it].power) { best_cost[bases[it].nod] = max(best_cost[bases[it].nod], bases[it].cost); it++; } int best = -1; for (int nod = 1; nod <= n; nod++) if (dmin[nod][ships[i].nod] <= ships[i].fuel) best = max(best, best_cost[nod]); ships[i].atac = best; } } void read() { int m, a, b; scanf("%d%d", &n, &m); fill(dmin[0], dmin[n + 1], 1e9); for (int i = 1; i <= n; i++) dmin[i][i] = 0; while (m--) { scanf("%d%d", &a, &b); dmin[a][b] = dmin[b][a] = 1; } for (int k = 1; k <= n; k++) for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) dmin[i][j] = min(dmin[i][j], dmin[i][k] + dmin[k][j]); int s, k; scanf("%d%d%d", &s, &b, &k); ships.resize(s); bases.resize(b); dependencies.resize(k); for (auto& i : ships) { scanf("%d%d%d%d", &i.nod, &i.power, &i.fuel, &i.cost); i.fuel = min(i.fuel, 1000000); } for (auto& i : bases) scanf("%d%d%d", &i.nod, &i.power, &i.cost); for (auto& i : dependencies) scanf("%d%d", &i.first, &i.second); } int main() { read(); get_cost_nave(); long long ans = 0; int cnt = 2, S = 1, D = 2; const long long inf = 1e18; for (auto& i : dependencies) i.first--, i.second--; for (int i = 0; i < ships.size(); i++) ships[i].id = ++cnt; Dinic flow(cnt + 1, S, D); for (auto i : ships) { if (i.atac == -1) flow.add_Edge(i.id, D, inf); else { int castig = i.atac - i.cost; if (castig > 0) { ans += castig; flow.add_Edge(S, i.id, castig); } else flow.add_Edge(i.id, D, -castig); } } for (auto i : dependencies) flow.add_Edge(ships[i.first].id, ships[i.second].id, inf); ans -= flow.GetFlow(); cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf_int = 1e9; const long long inf_ll = 1e18; const double pi = 3.1415926535898; bool debug = 0; const int MAXN = 1e5 + 100; const int LOG = 22; const int mod = 1e9 + 7; const int MX = 1e6 + 100; const long long MOD = 1000000000949747713ll; int dis[128][128]; int x[MAXN], a[MAXN], f[MAXN], p[MAXN]; int x2[MAXN], d2[MAXN], g2[MAXN]; int s, b; int n; long long cost[MAXN]; struct event { int type; int id; int power; bool operator<(const event &o) const { if (o.power != power) return power < o.power; return type < o.type; } }; int mx_val[MAXN]; void calc_cost() { for (int i = 1; i <= s; ++i) { cost[i] = -inf_ll; } for (int i = 1; i <= n; ++i) { mx_val[i] = -1; } vector<event> events; for (int i = 1; i <= s; ++i) { event temp; temp.type = 1; temp.id = i; temp.power = a[i]; events.push_back(temp); } for (int i = 1; i <= b; ++i) { event temp; temp.type = 0; temp.id = i; temp.power = d2[i]; events.push_back(temp); } sort(events.begin(), events.end()); for (auto &cur : events) { int id = cur.id; if (cur.type == 0) { mx_val[x2[id]] = max(mx_val[x2[id]], g2[id]); } else { int res = -1; for (int to = 1; to <= n; ++to) { if (mx_val[to] == -1) continue; if (dis[x[id]][to] <= f[id]) res = max(res, mx_val[to]); } if (res == -1) continue; cost[id] = res - p[id]; } } for (int i = 1; i <= s; ++i) { if (debug) cout << i << " -- " << cost[i] << endl; } } vector<int> g[MAXN]; vector<int> gr[MAXN]; vector<int> g1[MAXN]; int used[MAXN]; vector<int> order; void def_top_sort(int v) { used[v] = 1; for (int to : g[v]) { if (!used[to]) { def_top_sort(to); } } order.push_back(v); } int comp[MAXN]; void dfs_clr(int v, int clr) { comp[v] = clr; for (int to : gr[v]) { if (!comp[to]) { dfs_clr(to, clr); } } } long long new_cost[MAXN]; int k; void dfs_top(int v) { used[v] = 1; for (int to : g1[v]) { if (!used[to]) dfs_top(to); } order.push_back(v); } int taken[MAXN]; int super_used[MAXN]; int timer = 0; long long get_val(int v) { if (taken[v]) return 0; if (super_used[v] == timer) return 0; super_used[v] = timer; long long res = new_cost[v]; for (int to : g1[v]) { res += get_val(to); res = max(res, -inf_ll); } return res; } void dfs_take(int v) { taken[v] = true; for (int to : g1[v]) { if (!taken[to]) dfs_take(to); } } void build_scc() { for (int i = 1; i <= k; ++i) { int a, b; cin >> a >> b; g[a].push_back(b); gr[b].push_back(a); } for (int i = 1; i <= s; ++i) { if (!used[i]) def_top_sort(i); } reverse(order.begin(), order.end()); int N = 0; for (int v : order) { if (comp[v] == 0) { ++N; dfs_clr(v, N); } } for (int i = 1; i <= s; ++i) { if (debug) cout << "ver " << i << " " << comp[i] << endl; } set<pair<int, int> > edges; for (int v = 1; v <= s; ++v) { for (int to : g[v]) { int v1 = comp[v], v2 = comp[to]; if (v1 == v2) continue; if (edges.count({v1, v2})) continue; edges.insert({v1, v2}); g1[v1].push_back(v2); if (debug) cout << "add edge " << v1 << " " << v2 << endl; } } for (int v = 1; v <= s; ++v) { new_cost[comp[v]] += cost[v]; new_cost[comp[v]] = max(new_cost[comp[v]], -inf_ll); } order.clear(); memset(used, 0, sizeof used); for (int v = 1; v <= N; ++v) { if (!used[v]) dfs_top(v); } long long ans = 0; for (int v : order) { timer++; long long val = get_val(v); if (val > 0) { ans += val; dfs_take(v); } } cout << ans; } void solve() { int m; cin >> n >> m; for (int i = 1; i <= n; ++i) { for (int e = 1; e <= n; ++e) { dis[i][e] = inf_int; } dis[i][i] = 0; } for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; dis[a][b] = 1; dis[b][a] = 1; } for (int k = 1; k <= n; ++k) { for (int i = 1; i <= n; ++i) { for (int e = 1; e <= n; ++e) { dis[i][e] = min(dis[i][e], dis[i][k] + dis[k][e]); } } } cin >> s >> b >> k; for (int i = 1; i <= s; ++i) { cin >> x[i] >> a[i] >> f[i] >> p[i]; } for (int i = 1; i <= b; ++i) { cin >> x2[i] >> d2[i] >> g2[i]; } calc_cost(); build_scc(); } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cout.setf(ios::fixed); cout.precision(20); int t = 1; while (t--) solve(); if (debug) cerr << endl << "time : " << (1.0 * clock() / CLOCKS_PER_SEC) << endl; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") using namespace std; template <typename T> void uin(T &a, T b) { if (b < a) { a = b; } } template <typename T> void uax(T &a, T b) { if (b > a) { a = b; } } const long long INF = 1e15; namespace Dinic { const long long N = 100 * 1000 + 228; struct edge { long long from, to, cap, flow; long long rem() { return cap - flow; } edge() {} edge(long long _from, long long _to, long long _cap, long long _flow) { from = _from; to = _to; cap = _cap; flow = _flow; } }; long long n; vector<long long> g[N]; long long fir[N], d[N]; vector<edge> e; long long F = 0; void add_edge(long long u, long long v, long long c) { g[u].push_back((long long)e.size()); e.push_back(edge(u, v, c, 0LL)); g[v].push_back((long long)e.size()); e.push_back(edge(v, u, 0LL, 0LL)); } bool bfs(long long s, long long t) { for (long long i = 1; i <= n; ++i) d[i] = INF; d[s] = 0; vector<long long> q; q.push_back(s); for (long long i = 0; i < (long long)q.size(); ++i) { long long v = q[i]; for (long long num : g[v]) { long long to = e[num].to; if (e[num].rem() && d[v] + 1 < d[to]) { d[to] = d[v] + 1; q.push_back(to); } } } return d[t] != INF; } long long dfs(long long v, long long t, long long c = INF) { if (v == t) { F += c; return c; } for (; fir[v] < (long long)g[v].size(); ++fir[v]) { long long i = g[v][fir[v]]; long long to = e[i].to; if (d[v] + 1 == d[to] && e[i].rem()) { long long x = dfs(to, t, min(c, e[i].rem())); if (x) { e[i].flow += x; e[i ^ 1].flow -= x; return x; } } } return 0; } long long max_flow(long long s, long long t) { F = 0; while (bfs(s, t)) { for (long long i = 1; i <= n; ++i) fir[i] = 0; while (dfs(s, t)) ; } return F; } }; // namespace Dinic const long long N = 105; struct SHIP { long long x, a, f, p; SHIP() {} SHIP(long long _x, long long _a, long long _f, long long _p) { x = _x, a = _a, f = _f, p = _p; } }; SHIP ship[N * 1000]; long long d[N][N]; long long value[N * 1000]; vector<pair<long long, long long> > list228[N * 1000]; signed main() { ios_base::sync_with_stdio(false); cin.tie(0); long long n, m; cin >> n >> m; for (long long i = 1; i <= n; ++i) { for (long long j = 1; j <= n; ++j) { d[i][j] = INF; } d[i][i] = 0; } for (long long i = 0; i < m; ++i) { long long u, v; cin >> u >> v; d[u][v] = d[v][u] = 1; } for (long long k = 1; k <= n; ++k) { for (long long i = 1; i <= n; ++i) { for (long long j = 1; j <= n; ++j) { if (d[i][k] != INF && d[k][j] != INF) { uin(d[i][j], d[i][k] + d[k][j]); } } } } long long s, b, k; cin >> s >> b >> k; for (long long i = 1; i <= s; ++i) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p; } for (long long i = 1; i <= b; ++i) { long long x, d, g; cin >> x >> d >> g; list228[x].push_back(make_pair(d, g)); } for (long long i = 1; i <= n; ++i) { sort(list228[i].begin(), list228[i].end()); for (long long j = 1; j < (long long)list228[i].size(); ++j) { uax(list228[i][j].second, list228[i][j - 1].second); } } for (long long i = 1; i <= s; ++i) { bool ok = 0; for (long long v = 1; v <= n; ++v) { if (d[ship[i].x][v] > ship[i].f || list228[v].empty()) continue; long long l = 0, r = (long long)list228[v].size(); while (r - l > 1) { long long mid = (l + r) >> 1; if (list228[v][mid].first <= ship[i].a) { l = mid; } else { r = mid; } } if (list228[v][l].first <= ship[i].a) { uax(value[i], list228[v][l].second); ok = 1; } } if (!ok) value[i] = -INF; } for (long long i = 1; i <= s; ++i) { if (value[i] != -INF) value[i] -= ship[i].p; } Dinic::n = s + 2; for (long long i = 0; i < k; ++i) { long long u, v; cin >> u >> v; Dinic::add_edge(u, v, INF); } long long S = s + 1, T = s + 2; long long sumpos = 0; for (long long i = 1; i <= s; ++i) { if (value[i] > 0) { Dinic::add_edge(S, i, value[i]); sumpos += value[i]; } else { Dinic::add_edge(i, T, -value[i]); } } long long res = sumpos - Dinic::max_flow(S, T); cout << res << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; class flow { private: int n; vector<int> head, d, cur; vector<tuple<int, ll, int>> edge; bool bfs(int s, int t) { d.assign(n, -1); queue<int> que; que.push(s); d[s] = 0; while (!que.empty()) { int u = que.front(); que.pop(); for (int i = head[u]; i != -1; i = get<2>(edge[i])) { int v = get<0>(edge[i]); if (get<1>(edge[i]) && d[v] == -1) { d[v] = d[u] + 1; if (v == t) { return true; } que.push(v); } } } return false; } ll dfs(int u, int t, ll f) { if (u == t) { return f; } ll res = f; for (int &i = cur[u]; i != -1 && res; i = get<2>(edge[i])) { int v = get<0>(edge[i]); ll &c = get<1>(edge[i]); if (d[v] == d[u] + 1 && c) { ll aug = dfs(v, t, min(res, c)); res -= aug; c -= aug; get<1>(edge[i ^ 1]) += aug; } } return f - res; } public: flow(int _n) { n = _n; head.assign(n, -1); } void insert_edge(int u, int v, ll c) { edge.emplace_back(v, c, head[u]); head[u] = edge.size() - 1; edge.emplace_back(u, 0, head[v]); head[v] = edge.size() - 1; } ll max_flow(int s, int t) { ll flow = 0; while (bfs(s, t)) { cur = head; flow += dfs(s, t, 1e18); } return flow; } }; int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; vector<vector<int>> dis(n, vector<int>(n, 1e9)); for (int i = 0; i < n; ++i) { dis[i][i] = 0; } for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; --u; --v; dis[u][v] = 1; dis[v][u] = 1; } for (int k = 0; k < n; ++k) { for (int i = 0; i < n; ++i) { for (int j = 0; j < n; ++j) { dis[i][j] = min(dis[i][j], dis[i][k] + dis[k][j]); } } } int s, b, k; cin >> s >> b >> k; vector<tuple<int, int, int, int>> ship; vector<vector<pair<int, int>>> base(n); for (int i = 0; i < s; ++i) { int x, a, f, p; cin >> x >> a >> f >> p; --x; ship.emplace_back(x, a, f, p); } for (int i = 0; i < b; ++i) { int x, d, g; cin >> x >> d >> g; --x; base[x].emplace_back(d, g); } for (int i = 0; i < n; ++i) { sort(base[i].begin(), base[i].end()); for (int j = 1; j < base[i].size(); ++j) { base[i][j].second = max(base[i][j].second, base[i][j - 1].second); } } vector<ll> gain(s); for (int i = 0; i < s; ++i) { int x = get<0>(ship[i]); int a = get<1>(ship[i]); int f = get<2>(ship[i]); int p = get<3>(ship[i]); gain[i] = -1e14; for (int j = 0; j < n; ++j) { if (dis[x][j] <= f && !base[j].empty() && a >= base[j][0].first) { gain[i] = max(gain[i], 1ll * (--upper_bound(base[j].begin(), base[j].end(), make_pair(a, (int)1e9))) ->second - p); } } } vector<bool> used(s); vector<pair<int, int>> rel; for (int i = 0; i < k; ++i) { int x, y; cin >> x >> y; --x; --y; used[x] = true; used[y] = true; rel.emplace_back(x, y); } int cnt = 0; ll ans = 0; vector<int> id(s, -1); for (int i = 0; i < s; ++i) { if (used[i]) { id[i] = cnt++; } else if (gain[i] > 0) { ans += gain[i]; } } flow G(cnt + 2); int S = cnt; int T = cnt + 1; for (int i = 0; i < s; ++i) { if (used[i]) { if (gain[i] > 0) { G.insert_edge(S, id[i], gain[i]); ans += gain[i]; } else if (gain[i] < 0) { G.insert_edge(id[i], T, -gain[i]); } } } for (int i = 0; i < k; ++i) { G.insert_edge(id[rel[i].first], id[rel[i].second], 1e18); } ans -= G.max_flow(S, T); cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T, size_t N> int SIZE(const T (&t)[N]) { return N; } template <typename T> int SIZE(const T &t) { return t.size(); } string to_string(const string s, int x1 = 0, int x2 = 1e9) { return '"' + ((x1 < s.size()) ? s.substr(x1, x2 - x1 + 1) : "") + '"'; } string to_string(const char *s) { return to_string((string)s); } string to_string(const bool b) { return (b ? "true" : "false"); } string to_string(const char c) { return string({c}); } template <size_t N> string to_string(const bitset<N> &b, int x1 = 0, int x2 = 1e9) { string t = ""; for (int __iii__ = min(x1, SIZE(b)), __jjj__ = min(x2, SIZE(b) - 1); __iii__ <= __jjj__; ++__iii__) { t += b[__iii__] + '0'; } return '"' + t + '"'; } template <typename A, typename... C> string to_string(const A(&v), int x1 = 0, int x2 = 1e9, C... coords); int l_v_l_v_l = 0, t_a_b_s = 0; template <typename A, typename B> string to_string(const pair<A, B> &p) { l_v_l_v_l++; string res = "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; l_v_l_v_l--; return res; } template <typename A, typename... C> string to_string(const A(&v), int x1, int x2, C... coords) { int rnk = rank<A>::value; string tab(t_a_b_s, ' '); string res = ""; bool first = true; if (l_v_l_v_l == 0) res += '\n'; res += tab + "["; x1 = min(x1, SIZE(v)), x2 = min(x2, SIZE(v)); auto l = begin(v); advance(l, x1); auto r = l; advance(r, (x2 - x1) + (x2 < SIZE(v))); for (auto e = l; e != r; e = next(e)) { if (!first) { res += ", "; } first = false; l_v_l_v_l++; if (e != l) { if (rnk > 1) { res += '\n'; t_a_b_s = l_v_l_v_l; }; } else { t_a_b_s = 0; } res += to_string(*e, coords...); l_v_l_v_l--; } res += "]"; if (l_v_l_v_l == 0) res += '\n'; return res; } void dbgm() { ; } template <typename Heads, typename... Tails> void dbgm(Heads H, Tails... T) { cout << to_string(H) << " | "; dbgm(T...); } const int N = 105; const int B = 100005; int d[N][N], gain[B]; void floyd(int n) { for (int i = 0; i < n; i++) d[i][i] = 0; for (int k = 0; k < n; k++) for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) d[i][j] = min(d[i][j], d[i][k] + d[j][k]); } struct ship { int x, a, f, p; }; struct base { int x, d, g; }; struct node { vector<base> bases; vector<int> maxs; void add(base base) { bases.push_back(base); } void prepare() { sort(bases.begin(), bases.end(), [](base a, base b) -> bool { return a.d < b.d; }); maxs.push_back(-1); for (int i = 0; i < ((int)bases.size()); i++) { maxs.push_back(max(maxs.back(), bases[i].g)); } } int bin(int s) { int izq = 0, der = ((int)bases.size()) - 1; int res = ((int)bases.size()); while (izq <= der) { int med = (izq + der) / 2; if (bases[med].d > s) res = med, der = med - 1; else izq = med + 1; } if (res < ((int)bases.size())) assert(bases[res].d > s); return res; } int query(int strength) { int p = bin(strength); return maxs[p]; } }; const long long INF = 1e15; struct Dinic { int nodes, src, dst; vector<int> dist, q, work; struct edge { int to, rev; long long f, cap; }; vector<vector<edge>> g; Dinic(int x) : nodes(x), g(x), dist(x), q(x), work(x) {} void add_edge(int s, int t, long long cap) { g[s].push_back((edge){t, ((int)g[t].size()), 0, cap}); g[t].push_back((edge){s, ((int)g[s].size()) - 1, 0, 0}); } bool dinic_bfs() { fill(dist.begin(), dist.end(), -1); dist[src] = 0; int qt = 0; q[qt++] = src; for (int qh = 0; qh < qt; qh++) { int u = q[qh]; for (int i = 0; i < ((int)g[u].size()); i++) { edge &e = g[u][i]; int v = g[u][i].to; if (dist[v] < 0 && e.f < e.cap) dist[v] = dist[u] + 1, q[qt++] = v; } } return dist[dst] >= 0; } long long dinic_dfs(int u, long long f) { if (u == dst) return f; for (int &i = work[u]; i < ((int)g[u].size()); i++) { edge &e = g[u][i]; if (e.cap <= e.f) continue; int v = e.to; if (dist[v] == dist[u] + 1) { long long df = dinic_dfs(v, min(f, e.cap - e.f)); if (df > 0) { e.f += df; g[v][e.rev].f -= df; return df; } } } return 0; } long long max_flow(int _src, int _dst) { src = _src; dst = _dst; long long result = 0; while (dinic_bfs()) { fill(work.begin(), work.end(), 0); while (long long delta = dinic_dfs(src, INF)) result += delta; } return result; } }; int main() { int n, m, s, b, k; cin >> n >> m; for (int i = 0; i < n; i++) for (int j = 0; j < n; j++) d[i][j] = 1000; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--, v--; d[u][v] = d[v][u] = 1; } floyd(n); cin >> s >> b >> k; vector<ship> ships; vector<node> nodes(n); for (int i = 0; i < s; i++) { int x, a, f, p; cin >> x >> a >> f >> p; x--; ships.push_back({x, a, min(200, f), p}); } for (int i = 0; i < b; i++) { int x, d, g; cin >> x >> d >> g; x--; nodes[x].add({x, d, g}); } for (int i = 0; i < n; i++) nodes[i].prepare(); memset(gain, -1, sizeof(gain)); for (int i = 0; i < s; i++) { for (int j = 0; j < n; j++) if (d[ships[i].x][j] <= ships[i].f) { gain[i] = max(gain[i], nodes[j].query(ships[i].a)); } } Dinic d(s + 2); long long tot = 0; for (int i = 0; i < s; i++) { if (gain[i] == -1) { d.add_edge(i, s + 1, 1e18); } else { long long g = gain[i] - ships[i].p; if (g > 0) d.add_edge(s, i, g), tot += g; else d.add_edge(i, s + 1, -g); } } for (int i = 0; i < k; i++) { int s, t; cin >> s >> t; s--, t--; d.add_edge(s, t, INF); } cout << tot - d.max_flow(s, s + 1) << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; struct Edge { int u, v; long long cap, flow; Edge() {} Edge(int u, int v, long long cap) : u(u), v(v), cap(cap), flow(0) {} }; struct Dinic { int N; vector<Edge> E; vector<vector<int>> g; vector<int> d, pt; Dinic(int N) : N(N), E(0), g(N), d(N), pt(N) {} void AddEdge(int u, int v, long long cap) { if (u != v) { E.emplace_back(Edge(u, v, cap)); g[u].emplace_back(E.size() - 1); E.emplace_back(Edge(v, u, 0)); g[v].emplace_back(E.size() - 1); } } bool BFS(int S, int T) { queue<int> q({S}); fill(d.begin(), d.end(), N + 1); d[S] = 0; while (!q.empty()) { int u = q.front(); q.pop(); if (u == T) break; for (int k : g[u]) { Edge &e = E[k]; if (e.flow < e.cap && d[e.v] > d[e.u] + 1) { d[e.v] = d[e.u] + 1; q.emplace(e.v); } } } return d[T] != N + 1; } long long DFS(int u, int T, long long flow = -1) { if (u == T || flow == 0) return flow; for (int &i = pt[u]; i < g[u].size(); ++i) { Edge &e = E[g[u][i]]; Edge &oe = E[g[u][i] ^ 1]; if (d[e.v] == d[e.u] + 1) { long long amt = e.cap - e.flow; if (flow != -1 && amt > flow) amt = flow; if (long long pushed = DFS(e.v, T, amt)) { e.flow += pushed; oe.flow -= pushed; return pushed; } } } return 0; } long long MaxFlow(int S, int T) { long long total = 0; while (BFS(S, T)) { fill(pt.begin(), pt.end(), 0); while (long long flow = DFS(S, T)) total += flow; } return total; } }; struct ship_t { long long x, a, f, p; }; struct base_t { long long x, d, g; bool operator<(const base_t &o) const { return d < o.d; } }; const int N = 1e2 + 10, S = 1e5 + 10; const long long inf = 1e12 + 42; ship_t ship[S]; base_t base[S]; long long g[N][N]; vector<int> dep[S]; vector<pair<long long, long long>> bases_at[N]; bool seen[S]; long long val[S]; int main() { ios_base::sync_with_stdio(false); cin.tie(0); ; int n, m; cin >> n >> m; for (int i = 1; i <= n; ++i) { for (int j = i + 1; j <= n; ++j) { g[i][j] = g[j][i] = inf; } } for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; g[u][v] = g[v][u] = min(g[u][v], 1ll); } for (int k = 1; k <= n; ++k) { for (int i = 1; i <= n; ++i) { for (int j = 1; j <= n; ++j) { g[i][j] = min(g[i][j], g[i][k] + g[k][j]); } } } int s, b, k; cin >> s >> b >> k; for (int i = 1; i <= s; ++i) { cin >> ship[i].x >> ship[i].a >> ship[i].f >> ship[i].p; } for (int i = 1; i <= b; ++i) { cin >> base[i].x >> base[i].d >> base[i].g; } sort(base + 1, base + 1 + b); for (int i = 1; i <= b; ++i) { int p = base[i].x; if (bases_at[p].empty() or bases_at[p].back().second < base[i].g) { bases_at[p].push_back({base[i].d, base[i].g}); } } Dinic dinic(s + 2); int source = 0, sink = s + 1; long long ans = 0; for (int i = 1; i <= s; ++i) { bool found = false; for (int p = 1; p <= n; ++p) { if (g[ship[i].x][p] > ship[i].f) { continue; } auto it = upper_bound(bases_at[p].begin(), bases_at[p].end(), make_pair(ship[i].a, inf)); if (it != bases_at[p].begin()) { --it; val[i] = max(val[i], it->second); found = true; } } val[i] -= ship[i].p; if (!found) { val[i] = -inf; } if (val[i] >= 0) { ans += val[i]; dinic.AddEdge(source, i, val[i]); } else { dinic.AddEdge(i, sink, -val[i]); } } for (int i = 1; i <= k; ++i) { int u, v; cin >> u >> v; dep[u].push_back(v); dinic.AddEdge(u, v, inf); } cout << ans - dinic.MaxFlow(source, sink); }
#include <bits/stdc++.h> #pragma GCC optimize("O3") using namespace std; template <class c> struct rge { c b, e; }; template <class c> rge<c> range(c i, c j) { return rge<c>{i, j}; } template <class c> auto dud(c* x) -> decltype(cerr << *x, 0); template <class c> char dud(...); struct debug { template <class c> debug& operator<<(const c&) { return *this; } }; using ll = long long; using pii = pair<ll, ll>; using pll = pair<ll, ll>; using vi = vector<ll>; using vll = vector<ll>; struct Dinic { struct Edge { ll v, c, inv; }; public: Dinic() : n(-1) {} void AddEdge(ll a, ll b, ll cap, ll bi_dir) { if (n < max(a, b)) { n = max(n, max(a, b)); ResizeVectors(); } e_orig[a].push_back(Edge{b, cap, ((ll)(e_orig[b]).size())}); e_orig[b].push_back(Edge{a, bi_dir * cap, ((ll)(e_orig[a]).size()) - 1}); } ll MaxFlow(ll s, ll t) { if (t > n || s > n) { n = max(s, t); ResizeVectors(); } e = e_orig; ll result = 0; while (Bfs(s, t)) { fill_n(beg.begin(), n + 1, 0); result += Dfs(s, t, kInf); } return result; } vector<bool> MinCut(ll s, ll t) { assert(!Bfs(s, t)); vector<bool> res(n + 1); for (ll i = (0); i <= (n); ++i) { res[i] = (dis[i] <= n); } return res; } vector<pair<ll, ll>> EdgeCut(ll s, ll t) { vector<bool> left_part = MinCut(s, t); vector<pair<ll, ll>> cut; for (ll v = (0); v <= (n); ++v) { for (auto edge : e_orig[v]) { if (edge.c != 0 && left_part[v] && !left_part[edge.v]) { cut.push_back({v, edge.v}); } } } return cut; } private: ll n; vector<vector<Edge>> e_orig, e; vector<ll> dis, beg; bool Bfs(ll s, ll t) { fill_n(dis.begin(), n + 1, n + 1); dis[s] = 0; vector<ll> que; que.push_back(s); for (ll i = (0); i <= ((ll)(((ll)(que).size())) - 1); ++i) { ll v = que[i]; for (auto edge : e[v]) { ll nei = edge.v; if (edge.c && dis[nei] > dis[v] + 1) { dis[nei] = dis[v] + 1; que.push_back(nei); if (nei == t) { return true; } } } } return false; } ll Dfs(ll v, ll t, ll min_cap) { ll result = 0; if (v == t || min_cap == 0) { return min_cap; } for (ll& i = beg[v]; i < ((ll)(e[v]).size()); i++) { ll nei = e[v][i].v, c = e[v][i].c; if (dis[nei] == dis[v] + 1 && c > 0) { ll flow_here = Dfs(nei, t, min(min_cap, c)); result += flow_here; min_cap -= flow_here; e[v][i].c -= flow_here; e[nei][e[v][i].inv].c += flow_here; } if (min_cap == 0) { break; } } return result; } void ResizeVectors() { e_orig.resize(n + 2); beg.resize(n + 2); dis.resize(n + 2); } static const ll kInf = 1e18; }; const ll MaxN = 2048; const ll MaxItems = 5e5; ll n, m; vi adj[MaxN]; ll s, b, k, h; ll dist[MaxN][MaxN]; vector<pii> at_vert[MaxN]; ll sp_loc[MaxItems], sp_atk[MaxItems], sp_fuel[MaxItems], sp_price[MaxItems]; ll bs_loc[MaxItems], bs_def[MaxItems], bs_gold[MaxItems]; vi dep_adj[MaxItems]; bool any_dep[MaxItems]; ll dep_idx[MaxItems]; int32_t main() { scanf("%lld%lld", &n, &m); for (ll i = 0; i <= n; ++i) { for (ll j = 0; j <= n; ++j) { dist[i][j] = 2e9; } dist[i][i] = 0; } for (ll i = 0; i < m; ++i) { ll u, v; scanf("%lld%lld", &u, &v); adj[u].push_back(v); adj[v].push_back(u); if (u != v) { dist[u][v] = dist[v][u] = 1; } } for (ll k = 1; k <= n; ++k) { for (ll i = 1; i <= n; ++i) { for (ll j = 1; j <= n; ++j) { dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]); } } } scanf("%lld%lld%lld", &s, &b, &k); for (ll i = 0; i < s; ++i) { scanf("%lld%lld%lld%lld", &sp_loc[i], &sp_atk[i], &sp_fuel[i], &sp_price[i]); } for (ll i = 0; i < b; ++i) { scanf("%lld%lld%lld", &bs_loc[i], &bs_def[i], &bs_gold[i]); at_vert[bs_loc[i]].emplace_back(bs_def[i], bs_gold[i]); } for (ll v = 1; v <= n; ++v) { auto& X = at_vert[v]; sort(X.begin(), X.end()); const ll sz = X.size(); ll cur_max = -1; ll ptr = 0; for (ll i = 0; i < sz; ++i) { if (X[i].second <= cur_max) { continue; } X[ptr++] = X[i]; cur_max = X[i].second; } X.resize(ptr); debug() << " [" << "v" ": " << (v) << "] " << " [" << "X" ": " << (X) << "] "; } const ll kSmallInf = 2e16; const ll kLargeInf = 2e16; vll sp_best(s, -kLargeInf); for (ll i = 0; i < s; ++i) { for (ll v = 1; v <= n; ++v) { if (sp_fuel[i] < dist[sp_loc[i]][v]) { continue; } const ll atk = sp_atk[i]; auto iter = lower_bound(at_vert[v].begin(), at_vert[v].end(), pii(atk, kSmallInf)); if (iter == at_vert[v].begin()) { continue; } else { ll bnd = prev(iter)->second; sp_best[i] = max(sp_best[i], (ll)bnd - sp_price[i]); } } debug() << " [" << "i" ": " << (i) << "] " << " [" << "sp_best[i]" ": " << (sp_best[i]) << "] "; } for (ll i = 0; i < k; ++i) { ll u, v; scanf("%lld%lld", &u, &v); --u; --v; any_dep[u] = any_dep[v] = true; dep_adj[u].push_back(v); } ll ans = 0; ll curidx = 0; for (ll i = 0; i < s; ++i) { if (!any_dep[i] && sp_best[i] >= 0) { ans += sp_best[i]; } dep_idx[i] = curidx++; } Dinic dinic; const ll source = curidx; const ll sink = source + 1; debug() << " [" << "source" ": " << (source) << "] " << " [" << "sink" ": " << (sink) << "] "; for (ll i = 0; i < s; ++i) { if (!any_dep[i]) { continue; } if (sp_best[i] >= 0) { dinic.AddEdge(source, dep_idx[i], sp_best[i], 0); ans += sp_best[i]; } else { dinic.AddEdge(dep_idx[i], sink, -sp_best[i], 0); } for (ll j : dep_adj[i]) { dinic.AddEdge(dep_idx[i], dep_idx[j], kLargeInf, 0); } } const ll flow = dinic.MaxFlow(source, sink); ans -= flow; assert(ans >= 0); printf("%lld\n", ans); }
#include <bits/stdc++.h> using namespace std; template <typename T> struct Dinic { static const int MAXN = 100005, MAXM = 1000005; struct Edge { int to, next; T cap; } edge[MAXM]; int head[MAXN], tot; void clear() { memset(head, -1, sizeof(head)); tot = 0; } Dinic() { clear(); } void add(int u, int v, T c) { edge[tot] = (Edge){v, head[u], c}; head[u] = tot++; edge[tot] = (Edge){u, head[v], (T)0}; head[v] = tot++; } int dis[MAXN], que[MAXN], id[MAXN]; bool bfs(int s, int t) { memset(dis, -1, sizeof(dis)); memcpy(id, head, sizeof(id)); int he = 0, ta = 0; dis[que[ta++] = s] = 0; while (he < ta) { int u = que[he++]; for (int i = head[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (dis[v] < 0 && edge[i].cap) { dis[que[ta++] = v] = dis[u] + 1; if (v == t) return true; } } } return false; } T dfs(int u, int t, T f) { if (u == t) return f; T flow = 0; for (int &i = id[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (dis[v] > dis[u] && edge[i].cap) { int d = dfs(v, t, min(f, edge[i].cap)); if (!d) continue; edge[i].cap -= d, edge[i ^ 1].cap += d; flow += d, f -= d; if (f == 0) return flow; } } dis[u] = -1; return flow; } T dinic(int s, int t, T inf = 1E9) { T flow = 0; while (bfs(s, t)) flow += dfs(s, t, inf); return flow; } }; const long long INF = 1E15; Dinic<long long> din; const int MAXN = 100005; int dis[105][105], xx[MAXN], aa[MAXN], ff[MAXN], pp[MAXN], qq[MAXN], vis[MAXN], n, m; struct Node { int d, g; } sh[MAXN]; vector<Node> nd[105]; bool cmp(const Node &a, const Node &b) { return a.d < b.d; } int main() { scanf("%d%d", &n, &m); memset(dis, 0x3f, sizeof(dis)); for (int i = 1; i <= n; i++) dis[i][i] = 0; for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); dis[u][v] = dis[v][u] = 1; } for (int i = 1; i <= n; i++) for (int j = 1; j <= n; j++) for (int k = 1; k <= n; k++) dis[j][k] = min(dis[i][j] + dis[i][k], dis[j][k]); int S, B, K; scanf("%d%d%d", &S, &B, &K); for (int i = 1; i <= S; i++) { scanf("%d%d%d%d", xx + i, aa + i, ff + i, pp + i); sh[i] = (Node){aa[i], i}; } sort(sh + 1, sh + 1 + S, cmp); for (int i = 1; i <= B; i++) { int x, d, g; scanf("%d%d%d", &x, &d, &g); nd[x].push_back((Node){d, g}); } for (int i = 1; i <= n; i++) { sort(nd[i].begin(), nd[i].end(), cmp); int mx = 0; for (Node &d : nd[i]) { mx = max(mx, d.g); d.g = mx; } } fill(qq + 1, qq + 1 + S, -1E9); for (int i = 1; i <= n; i++) { int s = nd[i].size(); for (int j = 1, k = 0; j <= S; j++) { for (; k < s && nd[i][k].d <= sh[j].d; ++k) ; if (k > 0 && dis[i][xx[sh[j].g]] <= ff[sh[j].g]) qq[sh[j].g] = max(qq[sh[j].g], nd[i][k - 1].g); } } for (int i = 1; i <= S; i++) pp[i] = qq[i] - pp[i]; for (int i = 1; i <= K; i++) { int u, v; scanf("%d%d", &u, &v); din.add(u, v, INF); vis[u] = vis[v] = 1; } long long ans = 0; int s = S + 1, t = s + 1; for (int i = 1; i <= S; i++) if (!vis[i] && pp[i] > 0) ans += pp[i]; for (int i = 1; i <= S; i++) if (vis[i]) { if (pp[i] > 0) din.add(s, i, pp[i]), ans += pp[i]; else din.add(i, t, -pp[i]); } printf("%lld\n", ans - din.dinic(s, t, INF)); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxs = 200000; const char dbuf[] = "DWAS"; const int dx[] = {1, 0, -1, 0}; const int dy[] = {0, 1, 0, -1}; char s[maxs + 1]; int xv[maxs + 1]; int yv[maxs + 1]; int lprv[maxs + 1]; int bprv[maxs + 1]; int rprv[maxs + 1]; int tprv[maxs + 1]; int lnxt[maxs + 1]; int bnxt[maxs + 1]; int rnxt[maxs + 1]; int tnxt[maxs + 1]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); int T; cin >> T; for (int TN = 0; TN < T; TN++) { cin >> s; int n = strlen(s); xv[0] = 0; yv[0] = 0; for (int i = 0; i < n; i++) { int d = find(dbuf, dbuf + 4, s[i]) - dbuf; xv[i + 1] = xv[i] + dx[d]; yv[i + 1] = yv[i] + dy[d]; } lprv[0] = rprv[0] = xv[0]; bprv[0] = tprv[0] = yv[0]; for (int i = 1; i <= n; i++) { lprv[i] = min(lprv[i - 1], xv[i]); bprv[i] = min(bprv[i - 1], yv[i]); rprv[i] = max(rprv[i - 1], xv[i]); tprv[i] = max(tprv[i - 1], yv[i]); } lnxt[n] = rnxt[n] = xv[n]; bnxt[n] = tnxt[n] = yv[n]; for (int i = n - 1; i >= 0; i--) { lnxt[i] = min(lnxt[i + 1], xv[i]); bnxt[i] = min(bnxt[i + 1], yv[i]); rnxt[i] = max(rnxt[i + 1], xv[i]); tnxt[i] = max(tnxt[i + 1], yv[i]); } long long ans = 0x7f7f7f7f7f7f7f7fll; for (int i = 0; i <= n; i++) { for (int d = 0; d < 4; d++) { int w = max(rprv[i], rnxt[i] + dx[d]) - min(lprv[i], lnxt[i] + dx[d]) + 1; int h = max(tprv[i], tnxt[i] + dy[d]) - min(bprv[i], bnxt[i] + dy[d]) + 1; ans = min(ans, (long long)w * h); } } cout << ans << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); int T; cin >> T; while (T--) { string s; cin >> s; int x = 0, y = 0; int max_x = 0; int max_y = 0; int min_x = 0; int min_y = 0; int l_min_x = -1; int l_min_y = -1; int l_max_x = -1; int l_max_y = -1; int r_min_x = -1; int r_min_y = -1; int r_max_x = -1; int r_max_y = -1; for (int i = 0; i < s.size(); ++i) { char c = s[i]; if (c == 'W') { ++y; } else if (c == 'A') { --x; } else if (c == 'S') { --y; } else { ++x; } if (x > max_x) { max_x = x; l_max_x = r_max_x = i; } else if (x == max_x) { r_max_x = i; } if (y > max_y) { max_y = y; l_max_y = r_max_y = i; } else if (y == max_y) { r_max_y = i; } if (x < min_x) { min_x = x; l_min_x = r_min_x = i; } else if (x == min_x) { r_min_x = i; } if (y < min_y) { min_y = y; l_min_y = r_min_y = i; } else if (y == min_y) { r_min_y = i; } } long long ans = 1LL * (max_x - min_x + 1) * (max_y - min_y + 1); if (max_x - min_x > 1 && (r_min_x < l_max_x || r_max_x < l_min_x)) { ans = min(ans, 1LL * (max_x - min_x) * (max_y - min_y + 1)); } if (max_y - min_y > 1 && (r_min_y < l_max_y || r_max_y < l_min_y)) { ans = min(ans, 1LL * (max_x - min_x + 1) * (max_y - min_y)); } cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; int dx[4] = {-1, 1, 0, 0}; int dy[4] = {0, 0, -1, 1}; const int maxn = 222222; int a[maxn], n; long long ans; int mx[maxn][2], mi[maxn][2]; int sufmx[maxn][2], sufmi[maxn][2]; void dfs(int now, int x, int y) { if (now > n) return; x += dx[a[now - 1]]; y += dy[a[now - 1]]; mx[now][0] = max(mx[now - 1][0], x); mx[now][1] = max(mx[now - 1][1], y); mi[now][0] = min(mi[now - 1][0], x); mi[now][1] = min(mi[now - 1][1], y); sufmx[now][0] = x; sufmi[now][0] = x; sufmx[now][1] = y; sufmi[now][1] = y; if (now + 1 <= n) { dfs(now + 1, x, y); for (int i = 0; i < 2; i++) { sufmx[now][i] = max(sufmx[now][i], sufmx[now + 1][i]); sufmi[now][i] = min(sufmi[now][i], sufmi[now + 1][i]); } } } int main() { ios::sync_with_stdio(false); int t; cin >> t; while (t--) { string s; cin >> s; n = s.length(); for (int i = 0; i < n; i++) { if (s[i] == 'W') { a[i] = 0; } else if (s[i] == 'S') { a[i] = 1; } else if (s[i] == 'A') { a[i] = 2; } else if (s[i] == 'D') { a[i] = 3; } } mx[0][0] = mx[0][1] = 0; mi[0][0] = mi[0][1] = 0; dfs(1, 0, 0); ans = (long long)(mx[n][1] - mi[n][1] + 1) * (mx[n][0] - mi[n][0] + 1); for (int i = 1; i < n; i++) { for (int j = 0; j < 2; j++) { if (sufmx[i + 1][j] > sufmi[i + 1][j] || mx[i][j] > mi[i][j]) if (sufmx[i + 1][j] > mx[i][j] && sufmi[i + 1][j] > mi[i][j]) { ans = min(ans, (long long)(sufmx[i + 1][j] - mi[i][j]) * (mx[n][j ^ 1] - mi[n][j ^ 1] + 1)); } else if (sufmx[i + 1][j] < mx[i][j] && sufmi[i + 1][j] < mi[i][j]) { ans = min(ans, (long long)(mx[i][j] - sufmi[i + 1][j]) * (mx[n][j ^ 1] - mi[n][j ^ 1] + 1)); } } } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; template <class T> inline bool uin(T& a, T b) { return a > b ? (a = b, true) : false; } template <class T> inline bool uax(T& a, T b) { return a < b ? (a = b, true) : false; } const int nax = 2e5 + 10; const int dx[] = {-1, 1, 0, 0}; const int dy[] = {0, 0, -1, 1}; int xp[nax], yp[nax], xin[nax], xax[nax], yin[nax], yax[nax]; void solve() { string S; cin >> S; int N = (int)S.length(); int x = 0, y = 0; for (int i = 0; i < N; ++i) { if (S[i] == 'A') --x; if (S[i] == 'D') ++x; if (S[i] == 'W') ++y; if (S[i] == 'S') --y; xp[i + 1] = x; yp[i + 1] = x; xin[i + 1] = min(xin[i], x); xax[i + 1] = max(xax[i], x); yin[i + 1] = min(yin[i], y); yax[i + 1] = max(yax[i], y); } long long area = (xax[N] - xin[N] + 1) * 1LL * (yax[N] - yin[N] + 1); int max_x = x, min_x = x, max_y = y, min_y = y; for (int i = N - 1; i >= 0; --i) { if (S[i] == 'W') --y; if (S[i] == 'A') ++x; if (S[i] == 'S') ++y; if (S[i] == 'D') --x; uax(max_x, x); uax(max_y, y); uin(min_x, x); uin(min_y, y); for (int j = 0; j < 4; ++j) { long long xx = max(xax[i] + dx[j], max_x) - min(xin[i] + dx[j], min_x) + 1LL; long long yy = max(yax[i] + dy[j], max_y) - min(yin[i] + dy[j], min_y) + 1LL; uin(area, xx * yy); } } cout << area << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while (tt--) solve(); }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e18; int main() { int q; cin >> q; while (q--) { string in; cin >> in; long long x = 0, y = 0; long long lmax_y = 0, lmax_x = 0, fmin_x = 0, fmin_y = 0; long long fmax_y = 0, fmax_x = 0, lmin_x = 0, lmin_y = 0; long long max_y = 0, max_x = 0, min_x = 0, min_y = 0; for (int i = 0; i < in.length(); ++i) { if (in[i] == 'W') { ++y; if (max_y < y) { fmax_y = i; max_y = y; } else if (max_y == y) lmax_y = i; } if (in[i] == 'A') { --x; if (min_x > x) { fmin_x = i; min_x = x; } else if (min_x == x) lmin_x = i; } if (in[i] == 'S') { --y; if (min_y > y) { fmin_y = i; min_y = y; } else if (min_y == y) lmin_y = i; ; } if (in[i] == 'D') { ++x; if (max_x < x) { fmax_x = i; max_x = x; } else if (max_x == x) lmax_x = i; } } long long tmp_min = (max_x - min_x + 1) * (max_y - min_y + 1); if (max_x - min_x + 1 > 2 && (lmax_x < fmin_x || lmin_x < fmax_x) && tmp_min > (max_x - min_x) * (max_y - min_y + 1)) tmp_min = (max_x - min_x) * (max_y - min_y + 1); if (max_y - min_y + 1 > 2 && (lmax_y < fmin_y || lmin_y < fmax_y) && tmp_min > (max_x - min_x + 1) * (max_y - min_y)) tmp_min = (max_x - min_x + 1) * (max_y - min_y); cout << tmp_min << "\n"; } }
#include <bits/stdc++.h> using namespace std; const long long int inf = 9e18; const long double pi = 2 * acos(0.0); const int N = 1000005; long long int tes, n; string s; vector<long long int> sieve(N, 0); void si() { sieve[1] = 1; for (int i = 2; i < N; i++) { if (sieve[i] == 0) { for (int j = i; j < N; j += i) { sieve[j] = i; } } } } long long int power(long long int x, long long int y) { long long int res = 1ll; while (y > 0) { if (y & 1) res = res * x; y >>= 1; x = x * x; } return res; } void solve() { cin >> s; n = (int)((s).size()); vector<long long int> arr, brr; ; for (int i = 0; i < n; i++) { if (s[i] == 'W' || s[i] == 'S') { if (s[i] == 'W') arr.push_back(+1); else arr.push_back(-1); } else { if (s[i] == 'A') brr.push_back(-1); else brr.push_back(+1); } } vector<long long int> cum_a((int)((arr).size()) + 1, 0), cum_b((int)((brr).size()) + 1, 0); ; for (int i = 0; i < (int)((arr).size()); i++) { cum_a[i + 1] = cum_a[i] + arr[i]; }; for (int i = 0; i < (int)((brr).size()); i++) { cum_b[i + 1] = cum_b[i] + brr[i]; } long long int maxi_a = -inf, mini_a = inf, maxi_b = -inf, mini_b = inf, ind_maxi_a = -1, ind_mini_a = -1, ind_maxi_b = -1, ind_mini_b = -1; ; for (int i = 0; i < (int)((arr).size()) + 1; i++) { if (cum_a[i] > maxi_a) { maxi_a = cum_a[i]; ind_maxi_a = i; } else if (cum_a[i] == maxi_a) { ind_maxi_a = i; } if (cum_a[i] < mini_a) { mini_a = cum_a[i]; ind_mini_a = i; } }; for (int i = 0; i < (int)((brr).size()) + 1; i++) { if (cum_b[i] > maxi_b) { maxi_b = cum_b[i]; ind_maxi_b = i; } else if (cum_b[i] == maxi_b) { ind_maxi_b = i; } if (cum_b[i] < mini_b) { mini_b = cum_b[i]; ind_mini_b = i; } } long long int area = (maxi_a - mini_a + 1) * (maxi_b - mini_b + 1); if (ind_maxi_a < ind_mini_a) { area = min(area, (max(2ll, maxi_a - mini_a)) * (maxi_b - mini_b + 1)); } if (ind_maxi_b < ind_mini_b) { area = min(area, (maxi_a - mini_a + 1) * (max(2ll, maxi_b - mini_b))); } maxi_a = -inf, mini_a = inf, maxi_b = -inf, mini_b = inf, ind_maxi_a = -1, ind_mini_a = -1, ind_maxi_b = -1, ind_mini_b = -1; ; for (int i = 0; i < (int)((arr).size()) + 1; i++) cum_a[i] *= -1; ; for (int i = 0; i < (int)((brr).size()) + 1; i++) cum_b[i] *= -1; ; for (int i = 0; i < (int)((arr).size()) + 1; i++) { if (cum_a[i] > maxi_a) { maxi_a = cum_a[i]; ind_maxi_a = i; } else if (cum_a[i] == maxi_a) { ind_maxi_a = i; } if (cum_a[i] < mini_a) { mini_a = cum_a[i]; ind_mini_a = i; } }; for (int i = 0; i < (int)((brr).size()) + 1; i++) { if (cum_b[i] > maxi_b) { maxi_b = cum_b[i]; ind_maxi_b = i; } else if (cum_b[i] == maxi_b) { ind_maxi_b = i; } if (cum_b[i] < mini_b) { mini_b = cum_b[i]; ind_mini_b = i; } } if (ind_maxi_a < ind_mini_a) { area = min(area, (max(2ll, maxi_a - mini_a)) * (maxi_b - mini_b + 1)); } if (ind_maxi_b < ind_mini_b) { area = min(area, (maxi_a - mini_a + 1) * (max(2ll, maxi_b - mini_b))); } cout << area << "\n"; } int32_t main(void) { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; cin >> tes; while (tes--) { solve(); } }
#include <bits/stdc++.h> int Max(int* a, int b, int* l_p, int* f_p, int j) { if (b == *a) { *a = b; *l_p = j; } else if (b > *a) { *a = b; *l_p = j; *f_p = j; } return 0; } int Min(int* a, int b, int* l_p, int* f_p, int j) { if (b == *a) { *a = b; *l_p = j; } else if (b < *a) { *a = b; *l_p = j; *f_p = j; } return 0; } long long min(long long a, long long b) { return a < b ? a : b; } int main() { int T; scanf("%d", &T); for (int i = 0; i < T; i++) { char move[200005]; scanf("%s", move); int init_v = 0, init_h = 0; int min_x = 0, min_y = 0, max_x = 0, max_y = 0; int l_min_x = 0, l_max_x = 0, l_min_y = 0, l_max_y = 0; int f_min_x = 0, f_max_x = 0, f_min_y = 0, f_max_y = 0; for (int j = 0; j < strlen(move); j++) { if (move[j] == 'W') { init_v++; Max(&max_y, init_v, &l_max_y, &f_max_y, j); } else if (move[j] == 'S') { init_v--; Min(&min_y, init_v, &l_min_y, &f_min_y, j); } else if (move[j] == 'A') { init_h--; Min(&min_x, init_h, &l_min_x, &f_min_x, j); } else if (move[j] == 'D') { init_h++; Max(&max_x, init_h, &l_max_x, &f_max_x, j); } } int x_l = (max_x - min_x + 1); int y_l = (max_y - min_y + 1); int m_y_l = y_l; int m_x_l = x_l; if (l_min_x < f_max_x && (max_x - min_x) >= 2) { m_x_l--; } if (l_max_x < f_min_x && (max_x - min_x) >= 2) { m_x_l--; } if (l_min_y < f_max_y && (max_y - min_y) >= 2) { m_y_l--; } if (l_max_y < f_min_y && (max_y - min_y) >= 2) { m_y_l--; } long long ans = min((long long)(x_l) * (long long)m_y_l, (long long)m_x_l * (long long)y_l); printf("%lld\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; char a[200010]; int main() { int t; scanf("%d", &t); while (t--) { scanf("%s", a); int l = 0, r = 0, u = 0, d = 0, len = strlen(a), x = 0, y = 0; int fl = 0, fr = 0, fu = 0, fd = 0; for (int i = 0; i < len; i++) { if (a[i] == 'W') { if (++y > u) u = y, fd = 0, fu = 1; else if (y == u) fu = 1; } if (a[i] == 'A') { if (--x < l) l = x, fr = 0, fl = 1; else if (x == l) fl = 1; } if (a[i] == 'S') { if (--y < d) d = y, fu = 0, fd = 1; else if (y == d) fd = 1; } if (a[i] == 'D') { if (++x > r) r = x, fl = 0, fr = 1; else if (x == r) fr = 1; } } x = r - l + 1, y = u - d + 1; long long s = 1LL * x * y, k = s; if (x > 2 && fl * fr == 0) s = k - y; if (y > 2 && fu * fd == 0) if (k - x < s) s = k - x; printf("%I64d\n", s); } }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = getchar(); } return x * f; } const int N = 2e5 + 7; int T, U, D, L, R; long long ans; char s[N]; int main() { T = read(); while (T--) { scanf("%s", s); int n = strlen(s); int x = 0, y = 0; U = D = L = R = 0; for (int i = 0; i < n; i++) { if (s[i] == 'W') y++; if (s[i] == 'S') y--; if (s[i] == 'A') x--; if (s[i] == 'D') x++; R = max(R, x); L = min(L, x); U = max(U, y); D = min(D, y); } ans = 1ll * (R - L + 1) * (U - D + 1); x = y = 0; bool flag = 0, GG = 0; int l = 0, r = 0, u = 0, d = 0; for (int i = 0; i < n; i++) { if (U - D <= 1 || !D) { GG = 1; break; } if (s[i] == 'W') y++; if (s[i] == 'S') y--; if (s[i] == 'A') x--; if (s[i] == 'D') x++; if (y == D && !flag) { y++; flag = 1; } r = max(r, x); l = min(l, x); u = max(u, y); d = min(d, y); if (y <= D || y > U || x < L || x > R) { GG = 1; break; } } if (!GG) ans = min(ans, 1ll * (r - l + 1) * (u - d + 1)); x = y = flag = l = r = u = d = GG = 0; for (int i = 0; i < n; i++) { if (U - D <= 1 || !U) { GG = 1; break; } if (s[i] == 'W') y++; if (s[i] == 'S') y--; if (s[i] == 'A') x--; if (s[i] == 'D') x++; if (y == U && !flag) { y--; flag = 1; } r = max(r, x); l = min(l, x); u = max(u, y); d = min(d, y); if (y >= U || y < D || x < L || x > R) { GG = 1; break; } } if (!GG) ans = min(ans, 1ll * (r - l + 1) * (u - d + 1)); x = y = flag = l = r = u = d = GG = 0; for (int i = 0; i < n; i++) { if (R - L <= 1 || !R) { GG = 1; break; } if (s[i] == 'W') y++; if (s[i] == 'S') y--; if (s[i] == 'A') x--; if (s[i] == 'D') x++; if (x == R && !flag) { x--; flag = 1; } r = max(r, x); l = min(l, x); u = max(u, y); d = min(d, y); if (y > U || y < D || x < L || x >= R) { GG = 1; break; } } if (!GG) ans = min(ans, 1ll * (r - l + 1) * (u - d + 1)); x = y = flag = l = r = u = d = GG = 0; for (int i = 0; i < n; i++) { if (R - L <= 1 || !L) { GG = 1; break; } if (s[i] == 'W') y++; if (s[i] == 'S') y--; if (s[i] == 'A') x--; if (s[i] == 'D') x++; if (x == L && !flag) { x++; flag = 1; } r = max(r, x); l = min(l, x); u = max(u, y); d = min(d, y); if (y > U || y < D || x <= L || x > R) { GG = 1; break; } } if (!GG) ans = min(ans, 1ll * (r - l + 1) * (u - d + 1)); printf("%lld\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 2e5 + 5; struct info { int minValue, maxValue; }; info operator+(info A, info B) { info output; output.minValue = min(A.minValue, B.minValue); output.maxValue = max(A.maxValue, B.maxValue); return output; } struct node { int lazy; info value; int l, r; node *L, *R; node() {} node(int l, int r) { this->lazy = 0; this->value = {MAXN, -MAXN}; this->l = l; this->r = r; this->L = nullptr; this->R = nullptr; } void updateLazy() { this->value.maxValue += this->lazy; this->value.minValue += this->lazy; if (this->l != this->r) { this->L->lazy += this->lazy; this->R->lazy += this->lazy; } this->lazy = 0; } void build() { if (this->l == this->r) { return; } this->L = new node(this->l, (this->l + this->r) / 2); this->R = new node((this->l + this->r) / 2 + 1, this->r); this->L->build(); this->R->build(); } void update(int q, int val) { this->updateLazy(); if (this->l == this->r && this->l == q) { this->value = {val, val}; return; } if (this->r < q || this->l > q) return; this->L->update(q, val); this->R->update(q, val); this->value = this->L->value + this->R->value; } void reset(int q) { this->updateLazy(); if (this->l == this->r && this->l == q) { this->value = {MAXN, -MAXN}; return; } if (this->r < q || this->l > q) return; this->L->reset(q); this->R->reset(q); this->value = this->L->value + this->R->value; } void update(int ql, int qr, int val) { this->updateLazy(); if (this->l >= ql && this->r <= qr) { this->value.minValue += val; this->value.maxValue += val; if (this->l != this->r) { this->L->lazy += val; this->R->lazy += val; } return; } if (this->r < ql || this->l > qr) return; this->L->update(ql, qr, val); this->R->update(ql, qr, val); this->value = this->L->value + this->R->value; } }; node *T1, *T2; int prefix1[MAXN], prefix2[MAXN]; long long calcValue(int sum1, int sum2) { long long side1 = 1; if (min(sum1, T1->value.minValue) < 0) side1 -= min(sum1, T1->value.minValue); if (max(sum1, T1->value.maxValue) > 0) side1 += max(sum1, T1->value.maxValue); long long side2 = 1; if (min(sum2, T2->value.minValue) < 0) side2 -= min(sum2, T2->value.minValue); if (max(sum2, T2->value.maxValue) > 0) side2 += max(sum2, T2->value.maxValue); return side1 * side2; } int main() { ios::sync_with_stdio(false); cin.tie(NULL); int T; cin >> T; while (T--) { string s; cin >> s; T1 = new node(0, s.size()); T1->build(); T2 = new node(0, s.size()); T2->build(); int sum1 = 0, sum2 = 0; for (int i = 0; i < s.size(); i++) { if (s[i] == 'W') sum1--; else if (s[i] == 'S') sum1++; if (s[i] == 'A') sum2--; else if (s[i] == 'D') sum2++; T1->update(i, sum1); T2->update(i, sum2); } long long answer = calcValue(sum1, sum2); int currSum1 = 0, currSum2 = 0; for (int i = 0; i < s.size(); i++) { T1->update(i, s.size() - 1, -1); currSum1--; answer = min(answer, calcValue(currSum1, currSum2)); T1->update(i, s.size() - 1, +1); currSum1++; if (s[i] == 'W') currSum1--; else if (s[i] == 'S') currSum1++; if (s[i] == 'A') currSum2--; else if (s[i] == 'D') currSum2++; } T1->update(s.size(), sum1 - 1); answer = min(answer, calcValue(sum1 - 1, sum2)); T1->reset(s.size()); currSum1 = 0, currSum2 = 0; for (int i = 0; i < s.size(); i++) { T1->update(i, s.size() - 1, +1); currSum1++; answer = min(answer, calcValue(currSum1, currSum2)); T1->update(i, s.size() - 1, -1); currSum1--; if (s[i] == 'W') currSum1--; else if (s[i] == 'S') currSum1++; if (s[i] == 'A') currSum2--; else if (s[i] == 'D') currSum2++; } T1->update(s.size(), sum1 + 1); answer = min(answer, calcValue(sum1 + 1, sum2)); T1->reset(s.size()); currSum1 = 0, currSum2 = 0; for (int i = 0; i < s.size(); i++) { T2->update(i, s.size() - 1, -1); currSum2--; answer = min(answer, calcValue(currSum1, currSum2)); T2->update(i, s.size() - 1, +1); currSum2++; if (s[i] == 'W') currSum1--; else if (s[i] == 'S') currSum1++; if (s[i] == 'A') currSum2--; else if (s[i] == 'D') currSum2++; } T2->update(s.size(), sum2 - 1); answer = min(answer, calcValue(sum1, sum2 - 1)); T2->reset(s.size()); currSum1 = 0, currSum2 = 0; for (int i = 0; i < s.size(); i++) { T2->update(i, s.size() - 1, +1); currSum2++; answer = min(answer, calcValue(currSum1, currSum2)); T2->update(i, s.size() - 1, -1); currSum2--; if (s[i] == 'W') currSum1--; else if (s[i] == 'S') currSum1++; if (s[i] == 'A') currSum2--; else if (s[i] == 'D') currSum2++; } T2->update(s.size(), sum2 + 1); answer = min(answer, calcValue(sum1, sum2 + 1)); T2->reset(s.size()); cout << answer << '\n'; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 10; char s[maxn]; struct matrix { int x1, y1, x2, y2; } st[maxn], ed[maxn]; inline int getx(char t) { if (t == 'W' || t == 'S') return 0; if (t == 'D') return 1; return -1; } inline int gety(char t) { if (t == 'A' || t == 'D') return 0; if (t == 'W') return 1; return -1; } void update(int x, int y, matrix &a) { if (x < a.x1) a.x1 = x; if (x > a.x2) a.x2 = x; if (y < a.y1) a.y1 = y; if (y > a.y2) a.y2 = y; } matrix move(char t, matrix &a) { matrix re = a; re.x1 += getx(t), re.x2 += getx(t); re.y1 += gety(t), re.y2 += gety(t); return re; } long long getsize(matrix a, matrix b) { long long mnx, mny, mxx, mxy; mnx = a.x1 < b.x1 ? a.x1 : b.x1; mny = a.y1 < b.y1 ? a.y1 : b.y1; mxx = a.x2 > b.x2 ? a.x2 : b.x2; mxy = a.y2 > b.y2 ? a.y2 : b.y2; return (mxx - mnx + 1) * (mxy - mny + 1); } int main() { int T; scanf("%d", &T); while (T--) { scanf("%s", s); int x = 0, y = 0, n = strlen(s); matrix rg = (matrix){0, 0, 0, 0}; for (int i = 0; i < n; i++) { st[i] = rg; x += getx(s[i]), y += gety(s[i]); update(x, y, rg); } st[n] = rg; rg = (matrix){x, y, x, y}; ed[n] = rg; for (int i = n - 1; i >= 0; i--) { x -= getx(s[i]), y -= gety(s[i]); update(x, y, rg); ed[i] = rg; } long long ans = 1e18; for (int i = 0; i <= n; i++) { long long val; val = getsize(st[i], move('W', ed[i])); if (val < ans) ans = val; val = getsize(st[i], move('A', ed[i])); if (val < ans) ans = val; val = getsize(st[i], move('S', ed[i])); if (val < ans) ans = val; val = getsize(st[i], move('D', ed[i])); if (val < ans) ans = val; } printf("%lld\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; string s1, s2, s3, s4, s; long long n, i, q, MAXX, MINX, MAXY, MINY, j, x, y, RES, l, xa, xb, ya, yb; int main() { cin >> n; for (q = 1; q <= n; q++) { MAXX = 0; MINX = 0; MAXY = 0; MINY = 0; x = 0; y = 0; xa = xb = ya = yb = 0; RES = INT_MAX; cin >> s; s1 = s2 = s3 = s4 = s; l = 0; for (i = 0; i <= s.length() - 1; i++) { if (s[i] == 'A') x -= 1; if (MINX > x) { MINX = x; xa = i; } if (s[i] == 'D') x += 1; if (MAXX < x) { MAXX = x; xb = i; } if (s[i] == 'W') y += 1; if (MAXY < y) { MAXY = y; yb = i; } if (s[i] == 'S') y -= 1; if (MINY > y) { MINY = y; ya = i; } } RES = (MAXX - MINX + 1) * (MAXY - MINY + 1); s1.insert(s1.begin() + xa, 'D'); s2.insert(s2.begin() + xb, 'A'); s3.insert(s3.begin() + ya, 'W'); s4.insert(s4.begin() + yb, 'S'); x = 0; y = 0; MAXX = -0; MINX = 0; MAXY = -0; MINY = 0; for (i = 0; i <= s1.length() - 1; i++) { if (s1[i] == 'A') x -= 1; if (MINX > x) MINX = x; if (s1[i] == 'D') x += 1; if (MAXX < x) MAXX = x; if (s1[i] == 'W') y += 1; if (MAXY < y) MAXY = y; if (s1[i] == 'S') y -= 1; if (MINY > y) MINY = y; } if (((MAXX - MINX + 1) * (MAXY - MINY + 1)) < RES) RES = (MAXX - MINX + 1) * (MAXY - MINY + 1); x = 0; y = 0; MAXX = -0; MINX = 0; MAXY = -0; MINY = 0; for (i = 0; i <= s2.length() - 1; i++) { if (s2[i] == 'A') x -= 1; if (MINX > x) MINX = x; if (s2[i] == 'D') x += 1; if (MAXX < x) MAXX = x; if (s2[i] == 'W') y += 1; if (MAXY < y) MAXY = y; if (s2[i] == 'S') y -= 1; if (MINY > y) MINY = y; } if (((MAXX - MINX + 1) * (MAXY - MINY + 1)) < RES) RES = (MAXX - MINX + 1) * (MAXY - MINY + 1); x = 0; y = 0; MAXX = -0; MINX = 0; MAXY = -0; MINY = 0; for (i = 0; i <= s3.length() - 1; i++) { if (s3[i] == 'A') x -= 1; if (MINX > x) MINX = x; if (s3[i] == 'D') x += 1; if (MAXX < x) MAXX = x; if (s3[i] == 'W') y += 1; if (MAXY < y) MAXY = y; if (s3[i] == 'S') y -= 1; if (MINY > y) MINY = y; } if (((MAXX - MINX + 1) * (MAXY - MINY + 1)) < RES) RES = (MAXX - MINX + 1) * (MAXY - MINY + 1); x = 0; y = 0; MAXX = -0; MINX = 0; MAXY = -0; MINY = 0; for (i = 0; i <= s4.length() - 1; i++) { if (s4[i] == 'A') x -= 1; if (MINX > x) MINX = x; if (s4[i] == 'D') x += 1; if (MAXX < x) MAXX = x; if (s4[i] == 'W') y += 1; if (MAXY < y) MAXY = y; if (s4[i] == 'S') y -= 1; if (MINY > y) MINY = y; } if (((MAXX - MINX + 1) * (MAXY - MINY + 1)) < RES) RES = (MAXX - MINX + 1) * (MAXY - MINY + 1); cout << RES << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { ios::sync_with_stdio(false); cin.tie(0); int tt; cin >> tt; while (tt) { string s; cin >> s; int t, b, l, r; int t0, t1, b0, b1, l0, l1, r0, r1; t = b = l = r = t0 = t1 = b0 = b1 = l0 = l1 = r0 = r1 = 0; int x = 0, y = 0; for (int i = 0; i < s.size(); i++) { char c = s[i]; switch (c) { case 'W': y += 1; if (y > t) { t = y; t0 = i; t1 = 0; } else if (y == t) { t1 = i; } break; case 'S': y -= 1; if (y < b) { b = y; b0 = i; b1 = 0; } else if (y == b) { b1 = i; } break; case 'A': x -= 1; if (x < l) { l = x; l0 = i; l1 = 0; } else if (x == l) { l1 = i; } break; case 'D': x += 1; if (x > r) { r = x; r0 = i; r1 = 0; } else if (x == r) { r1 = i; } break; } } long long sq = (t - b + 1) * (r - l + 1); if (t - b > 1 && ((!t1 && !b1) || (t1 && !b1 && (t1 < b0 || t0 > b0)) || (b1 && !t1 && (b1 < t0 || b0 > t0)) || (b1 && t1 && (b1 < t0 || t1 < b0)))) { sq = (long long)(t - b) * (r - l + 1); } if (r - l > 1 && ((!r1 && !l1) || (r1 && !l1 && (r1 < l0 || r0 > l0)) || (l1 && !r1 && (l1 < r0 || l0 > r0)) || (l1 && r1 && (l1 < r0 || r1 < l0)))) { sq = min(sq, (long long)(t - b + 1) * (r - l)); } cout << sq << '\n'; tt--; } }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const int maxn = 2e5 + 5; int n, m, k, T; struct node { long long w, a, s, d; } pre[maxn], suf[maxn]; char c[maxn]; void solve() { scanf("%s", c + 1); n = strlen(c + 1); int x = 0, y = 0, w = 0, a = 0, s = 0, d = 0; for (int i = 1; i <= n; i++) { if (c[i] == 'W') ++y; if (c[i] == 'S') --y; if (c[i] == 'A') --x; if (c[i] == 'D') ++x; w = max(w, y); a = min(a, x); s = min(s, y); d = max(d, x); pre[i].w = w - y, pre[i].a = a - x, pre[i].s = s - y, pre[i].d = d - x; } x = 0, y = 0, w = 0, a = 0, s = 0, d = 0; for (int i = n; i >= 1; i--) { if (c[i] == 'W') --y; if (c[i] == 'S') ++y; if (c[i] == 'A') ++x; if (c[i] == 'D') --x; w = max(w, y); a = min(a, x); s = min(s, y); d = max(d, x); suf[i].w = w - y, suf[i].a = a - x, suf[i].s = s - y, suf[i].d = d - x; } long long ans = 1ll * (suf[1].d - suf[1].a + 1) * (suf[1].w - suf[1].s + 1); for (int i = 1; i <= n; i++) { ans = min(ans, 1ll * (max(pre[i].w, suf[i + 1].w + 1) - min(pre[i].s, suf[i + 1].s + 1) + 1) * 1ll * (max(pre[i].d, suf[i + 1].d) - min(pre[i].a, suf[i + 1].a) + 1)); ans = min(ans, 1ll * (max(pre[i].w, suf[i + 1].w - 1) - min(pre[i].s, suf[i + 1].s - 1) + 1) * 1ll * (max(pre[i].d, suf[i + 1].d) - min(pre[i].a, suf[i + 1].a) + 1)); ans = min( ans, 1ll * (max(pre[i].w, suf[i + 1].w) - min(pre[i].s, suf[i + 1].s) + 1) * 1ll * (max(pre[i].d, suf[i + 1].d + 1) - min(pre[i].a, suf[i + 1].a + 1) + 1)); ans = min( ans, 1ll * (max(pre[i].w, suf[i + 1].w) - min(pre[i].s, suf[i + 1].s) + 1) * 1ll * (max(pre[i].d, suf[i + 1].d - 1) - min(pre[i].a, suf[i + 1].a - 1) + 1)); } printf("%lld\n", ans); } int main() { int T; scanf("%d", &T); while (T--) { solve(); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 210000; int row[N]; int col[N]; char str[N]; int main() { int T, n; scanf("%d", &T); for (int t = 1; t <= T; t++) { scanf("%s", str + 1); int len = strlen(str + 1); int row_index = 0, col_index = 0; int row_max_left = 0, row_max_right = 0; int col_max_left = 0, col_max_right = 0; int row_min_left = 0, row_min_right = 0; int col_min_left = 0, col_min_right = 0; int row_max = 0, row_min = 0; int col_max = 0, col_min = 0; for (int i = 1; i <= len; i++) { if (str[i] == 'W') { ++col_index; col[col_index] = col[col_index - 1] + 1; if (col[col_index] > col_max) { col_max_left = col_index; col_max = col[col_index]; } if (col[col_index] >= col_max) { col_max_right = col_index; col_max = col[col_index]; } } if (str[i] == 'S') { ++col_index; col[col_index] = col[col_index - 1] - 1; if (col[col_index] < col_min) { col_min_left = col_index; col_min = col[col_index]; } if (col[col_index] <= col_min) { col_min_right = col_index; col_min = col[col_index]; } } if (str[i] == 'A') { ++row_index; row[row_index] = row[row_index - 1] - 1; if (row[row_index] < row_min) { row_min_left = row_index; row_min = row[row_index]; } if (row[row_index] <= row_min) { row_min_right = row_index; row_min = row[row_index]; } } if (str[i] == 'D') { ++row_index; row[row_index] = row[row_index - 1] + 1; if (row[row_index] > row_max) { row_max_left = row_index; row_max = row[row_index]; } if (row[row_index] >= row_max) { row_max_right = row_index; row_max = row[row_index]; } } } long long l = row_max - row_min + 1; long long w = col_max - col_min + 1; long long ans = (long long)l * w; long long tmp = (long long)ans; if (row_max_right < row_min_left && l > 2 || row_min_right < row_max_left && l > 2) tmp = min(tmp, ans - w); if (col_max_right < col_min_left && w > 2 || col_min_right < col_max_left && w > 2) tmp = min(tmp, ans - l); printf("%lld\n", tmp); } return 0; }
#include <bits/stdc++.h> using namespace std; char s[1000005], t1[1000005], t2[1000005]; int sp[1000005], nrt1, nrt2, ok1, ok2; long long lat1, lat2; void f(int &ok1, long long &lat1, int nrt) { int i, mini, maxi, poz, poz2; mini = 0; maxi = 0; for (i = 1; i <= nrt; i++) { maxi = max(maxi, sp[i]); mini = min(mini, sp[i]); } for (i = 0; i <= nrt; i++) if (mini == sp[i]) { poz = i; break; } for (i = nrt; i >= 0; i--) if (maxi == sp[i]) { poz2 = i; break; } if (poz > poz2) ok1 = 1; lat1 = maxi - mini + 1; for (i = 0; i <= nrt; i++) if (maxi == sp[i]) { poz = i; break; } for (i = nrt; i >= 0; i--) if (mini == sp[i]) { poz2 = i; break; } if (poz > poz2) ok1 = 1; } int main() { int i, nrt; cin >> nrt; while (nrt--) { cin >> s; int n = strlen(s); nrt1 = 0; nrt2 = 0; ok1 = 0; ok2 = 0; for (i = 0; i < n; i++) { if ((s[i] == 'S') || (s[i] == 'W')) { t1[nrt1] = s[i]; nrt1++; } else { t2[nrt2] = s[i]; nrt2++; } } if (t1[0] == 'S') sp[1] = -1; else sp[1] = 1; for (i = 2; i <= nrt1; i++) sp[i] = sp[i - 1] + ((t1[i - 1] == 'S') ? -1 : 1); f(ok1, lat1, nrt1); if (t2[0] == 'A') sp[1] = -1; else sp[1] = 1; for (i = 1; i <= nrt2; i++) sp[i] = sp[i - 1] + ((t2[i - 1] == 'A') ? -1 : 1); f(ok2, lat2, nrt2); long long ans = lat1 * lat2; if ((ok1) && (lat1 > 2)) ans = min(ans, (lat1 - 1) * lat2); if ((ok2) && (lat2 > 2)) ans = min(ans, (lat2 - 1) * lat1); cout << ans << "\n"; } return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; int len, flag = 0; string s; long long solve(char c1, char c2) { int Min = 0, Max = 0, sum = 0; int p_lastMax = -1, p_firstMax = -1, p_lastMin = -1, p_firstMin = -1; int c = 0; for (int i = 0; i < len; i++) { bool ys = 0; if (s[i] == c1) sum--, ys = 1; if (s[i] == c2) sum++, ys = 1; if (ys) { c++; if (sum == Max) { p_lastMax = i; } if (sum > Max) { p_firstMax = p_lastMax = i; Max = sum; } if (sum == Min) { p_lastMin = i; } if (sum < Min) { p_firstMin = p_lastMin = i; Min = sum; } } } long long tmp = Max - Min + 1; if ((c > 1) && (p_lastMax < p_firstMin || p_firstMax > p_lastMin)) { tmp--; flag++; } return tmp; } int main() { int T; cin >> T; while (T--) { flag = 0; cin >> s; len = s.size(); long long W = solve('W', 'S'); long long H = solve('A', 'D'); long long ans; if (flag == 2) ans = min(W * (H + 1), (W + 1) * H); else ans = W * H; cout << ans << endl; } return 0; }
#include <bits/stdc++.h> #pragma GCC target("avx2") #pragma GCC optimization("O3") #pragma GCC optimization("unroll-loops") using namespace std; template <class T> using vec = std::vector<T>; bool __hack = std::ios::sync_with_stdio(false); auto __hack1 = cin.tie(nullptr); struct Input { Input(istream &in) : in(&in) {} template <class T> T next() const { T x; *in >> x; return x; } int ni() const { return next<int>(); } string ns() const { return next<string>(); } istream *in; }; Input in(cin); class Output { private: ostream *out; template <typename T> void printSingle(const T &value) { *out << value; } public: Output(ostream &out) : out(&out) {} inline void print() {} template <typename T, typename... Ts> inline void print(const T &f, const Ts &...args) { printSingle(f); if (sizeof...(args) != 0) { *out << ' '; print(args...); } } template <typename... Ts> inline void println(const Ts &...args) { print(args...); *out << '\n'; } template <typename... Ts> inline void operator()(const Ts &...args) { println(args...); } }; Output out(cout); namespace template_util { constexpr int bytecount(uint64_t x) { return x ? 1 + bytecount(x >> 8) : 0; } template <int N> struct bytetype {}; template <uint64_t N> struct minimal_uint : bytetype<bytecount(N)> {}; } // namespace template_util string dir = "WSAD"; int dx[] = {-1, 1, 0, 0}; int dy[] = {0, 0, -1, 1}; int64_t getResult(const string &s) { int x = 0, y = 0; int miX = 0, maX = 0; int miY = 0, maY = 0; for (int i = 0; i < (s.length()); ++i) { int d; for (d = 0; d < 4; ++d) if (dir[d] == s[i]) break; x += dx[d]; y += dy[d]; if (miX > x) { miX = x; } if (maX < x) { maX = x; } if (miY > y) { miY = y; } if (maY < y) { maY = y; } } int64_t h = (maX - miX + 1); int64_t w = (maY - miY + 1); int64_t res = h * w; return res; } const int INF = 1000000000; struct SegmentTreeMin { int n; vector<int> tmin, tmax; vector<int> tadd; SegmentTreeMin(int n) : n(n) { tmin = vec<int>(4 * n, 0); tmax = vec<int>(4 * n, 0); tadd = vec<int>(4 * n, 0); } void combine(int v) { tmin[v] = min(tmin[2 * v], tmin[2 * v + 1]); tmax[v] = max(tmax[2 * v], tmax[2 * v + 1]); } void push(int v) { if (tadd[v] != 0) { if (2 * v < tmin.size()) { tmin[2 * v] += tadd[v]; tmax[2 * v] += tadd[v]; tadd[2 * v] += tadd[v]; } if (2 * v + 1 < tmin.size()) { tmin[2 * v + 1] += tadd[v]; tmax[2 * v + 1] += tadd[v]; tadd[2 * v + 1] += tadd[v]; } tadd[v] = 0; } } void update(int pos, int val) { int v = 1; int le = 0, ri = n; while (le + 1 < ri) { push(v); int m = (le + ri) / 2; if (pos < m) { ri = m; v *= 2; } else { le = m; v = 2 * v + 1; } } tmin[v] = val; tmax[v] = val; tadd[v] = 0; v /= 2; while (v) { combine(v); v /= 2; } } void internalAdd(int l, int r, int v, int vl, int vr, int delta) { if (l >= vr || vl >= r) return; push(v); if (vl >= l && vr <= r) { tadd[v] += delta; if (tmin[v] != INF) { tmin[v] += delta; tmax[v] += delta; } return; } int vm = (vl + vr) / 2; internalAdd(l, r, 2 * v, vl, vm, delta); internalAdd(l, r, 2 * v + 1, vm, vr, delta); combine(v); } void updateSuffix(int from, int delta) { internalAdd(from, n, 1, 0, n, delta); } pair<int, int> internalGet(int l, int r, int v, int vl, int vr) { if (l >= vr || vl >= r) return {0, 0}; push(v); if (vl >= l && vr <= r) { return {tmax[v], tmin[v]}; } int vm = (vl + vr) / 2; pair<int, int> p1 = internalGet(l, r, 2 * v, vl, vm); pair<int, int> p2 = internalGet(l, r, 2 * v + 1, vm, vr); return {max(p1.first, p2.first), min(p1.second, p2.second)}; } pair<int, int> get(int le, int ri) { return internalGet(le, ri + 1, 1, 0, n); } }; void solveOne() { auto s = in.ns(); auto res = getResult(s); SegmentTreeMin streeX(s.length() + 1), streeY(s.length() + 1); int x = 0, y = 0; streeX.update(0, x); streeY.update(0, y); for (int i = 0; i < (s.length()); ++i) { int d; for (d = 0; d < 4; ++d) if (dir[d] == s[i]) break; x += dx[d]; y += dy[d]; ; ; streeX.update(i + 1, x); streeY.update(i + 1, y); } for (int i = 0; i < (s.length()); ++i) { { auto px1 = streeX.get(0, i); streeX.updateSuffix(i, 1); auto px2 = streeX.get(i, s.length()); streeX.updateSuffix(i, -1); pair<int, int> py = streeY.get(0, s.length()); pair<int, int> px = {max(px1.first, px2.first), min(px1.second, px2.second)}; int64_t h = px.first - px.second + 1; int64_t w = py.first - py.second + 1; res = min(res, h * w); } { auto px1 = streeX.get(0, i); streeX.updateSuffix(i, -1); auto px2 = streeX.get(i, s.length()); streeX.updateSuffix(i, 1); pair<int, int> py = streeY.get(0, s.length()); pair<int, int> px = {max(px1.first, px2.first), min(px1.second, px2.second)}; int64_t h = px.first - px.second + 1; int64_t w = py.first - py.second + 1; res = min(res, h * w); } { auto py1 = streeY.get(0, i); streeY.updateSuffix(i, 1); auto py2 = streeY.get(i, s.length()); streeY.updateSuffix(i, -1); pair<int, int> px = streeX.get(0, s.length()); pair<int, int> py = {max(py1.first, py2.first), min(py1.second, py2.second)}; int64_t h = px.first - px.second + 1; int64_t w = py.first - py.second + 1; res = min(res, h * w); } { auto py1 = streeY.get(0, i); streeY.updateSuffix(i, -1); auto py2 = streeY.get(i, s.length()); streeY.updateSuffix(i, 1); pair<int, int> px = streeX.get(0, s.length()); pair<int, int> py = {max(py1.first, py2.first), min(py1.second, py2.second)}; int64_t h = px.first - px.second + 1; int64_t w = py.first - py.second + 1; res = min(res, h * w); } } res = min(res, getResult("S" + s)); res = min(res, getResult("W" + s)); res = min(res, getResult("A" + s)); res = min(res, getResult("D" + s)); res = min(res, getResult(s + "S")); res = min(res, getResult(s + "W")); res = min(res, getResult(s + "A")); res = min(res, getResult(s + "D")); out(res); } void solve(istream &inStream, ostream &outStream) { in = Input(inStream); out = Output(outStream); auto tests = in.ni(); while (tests--) { solveOne(); } } int main() { solve(cin, cout); return 0; }
#include <bits/stdc++.h> using namespace std; void solve() { string s; cin >> s; int n = s.length(); vector<long long> x(n + 1, 0), y(n + 1, 0); for (int i = 0; i < n; i++) { x[i + 1] = x[i]; y[i + 1] = y[i]; if (s[i] == 'W') x[i + 1]++; else if (s[i] == 'A') y[i + 1]--; else if (s[i] == 'S') x[i + 1]--; else y[i + 1]++; } vector<long long> xlh(n + 1), xll(n + 1), ylh(n + 1), yll(n + 1); for (int i = 1; i <= n; i++) { xlh[i] = max(xlh[i - 1], x[i]); xll[i] = min(xll[i - 1], x[i]); ylh[i] = max(ylh[i - 1], y[i]); yll[i] = min(yll[i - 1], y[i]); } vector<long long> xrh(n + 1), xrl(n + 1), yrh(n + 1), yrl(n + 1); xrh[n] = xrl[n] = x[n]; yrh[n] = yrl[n] = y[n]; for (int i = n - 1; i >= 0; i--) { xrh[i] = max(xrh[i + 1], x[i]); xrl[i] = min(xrl[i + 1], x[i]); yrh[i] = max(yrh[i + 1], y[i]); yrl[i] = min(yrl[i + 1], y[i]); } long long ans = (xlh[n] - xll[n] + 1) * (ylh[n] - yll[n] + 1); for (int i = 0; i < n; i++) { ans = min(ans, (max({xlh[i], xrh[i] + 1, x[i] + 1}) - min({xll[i], xrl[i] + 1, x[i] + 1}) + 1) * (max(ylh[i], yrh[i]) - min(yll[i], yrl[i]) + 1)); ans = min(ans, (max({xlh[i], xrh[i] - 1, x[i] - 1}) - min({xll[i], xrl[i] - 1, x[i] - 1}) + 1) * (max(ylh[i], yrh[i]) - min(yll[i], yrl[i]) + 1)); ans = min(ans, (max(xlh[i], xrh[i]) - min(xll[i], xrl[i]) + 1) * (max({ylh[i], yrh[i] - 1, y[i] - 1}) - min({yll[i], yrl[i] - 1, y[i] - 1}) + 1)); ans = min(ans, (max(xlh[i], xrh[i]) - min(xll[i], xrl[i]) + 1) * (max({ylh[i], yrh[i] + 1, y[i] + 1}) - min({yll[i], yrl[i] + 1, y[i] + 1}) + 1)); } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int t; cin >> t; while (t--) solve(); }
#include <bits/stdc++.h> using ll = long long; using namespace std; long long f(vector<long long> arr, long long depth = 1) { vector<long long> pref = arr; for (long long i = 1; i < arr.size(); i++) { pref[i] += pref[i - 1]; } long long mx = 0, mn = 0; for (auto x : pref) { mx = max(mx, x); mn = min(mn, x); } long long ind = 0; for (long long i = 0; i < arr.size(); i++) { if (pref[i] == mx) { ind = i; break; } } if (depth == 0) { return mx + abs(mn) + 1; } vector<long long> na; for (long long i = 0; i < ind; i++) { na.push_back(arr[i]); } na.push_back(-1); for (long long i = ind; i < arr.size(); i++) na.push_back(arr[i]); return f(na, 0); } void sol() { string s; cin >> s; vector<long long> x, y; for (auto el : s) { if (el == 'W') { y.push_back(1); } else if (el == 'S') { y.push_back(-1); } else if (el == 'A') { x.push_back(-1); } else { x.push_back(1); } } long long n = f(x, 0), m = f(y, 0); long long n1 = f(x), m1 = f(y); for (auto &el : x) { el *= -1; } for (auto &el : y) { el *= -1; } n1 = min(n1, f(x)); m1 = min(m1, f(y)); cout << min(n1 * m, n * m1) << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); long long t; cin >> t; while (t--) { sol(); } }
#include <bits/stdc++.h> using namespace std; const int N = 200005; const char cc[4] = {'W', 'S', 'A', 'D'}; const int xx[4] = {-1, 1, 0, 0}; const int yy[4] = {0, 0, -1, 1}; int n; char aa[N], a[N]; int px[N], py[N]; int minpx[N], maxpx[N], minpy[N], maxpy[N]; int sx[N], sy[N]; int minsx[N], maxsx[N], minsy[N], maxsy[N]; void solv() { cin >> aa; n = strlen(aa); for (int i = 1; i <= n; ++i) a[i] = aa[i - 1]; for (int i = 1; i <= n; ++i) { px[i] = px[i - 1]; py[i] = py[i - 1]; for (int j = 0; j < 4; ++j) { if (a[i] == cc[j]) { px[i] += xx[j]; py[i] += yy[j]; } } maxpx[i] = max(maxpx[i - 1], px[i]); minpx[i] = min(minpx[i - 1], px[i]); maxpy[i] = max(maxpy[i - 1], py[i]); minpy[i] = min(minpy[i - 1], py[i]); } sx[n + 1] = 0; sy[n + 1] = 0; maxsx[n + 1] = maxsy[n + 1] = minsx[n + 1] = minsy[n + 1] = 0; int maxx = 0, minx = 0, maxy = 0, miny = 0; for (int i = n; i >= 1; --i) { sx[i] = sx[i + 1]; sy[i] = sy[i + 1]; for (int j = 0; j < 4; ++j) { if (a[i] == cc[j]) { sx[i] += xx[j]; sy[i] += yy[j]; } } maxx = max(maxx, sx[i]); minx = min(minx, sx[i]); maxy = max(maxy, sy[i]); miny = min(miny, sy[i]); maxsx[i] = sx[i] - minx; minsx[i] = sx[i] - maxx; maxsy[i] = sy[i] - miny; minsy[i] = sy[i] - maxy; } long long ans = (maxpx[n] - minpx[n] + 1) * 1LL * (maxpy[n] - minpy[n] + 1); for (int i = 0; i <= n; ++i) { for (int j = 0; j < 4; ++j) { int maxx = maxpx[i]; int minx = minpx[i]; int maxy = maxpy[i]; int miny = minpy[i]; maxx = max(maxx, px[i] + xx[j]); minx = min(minx, px[i] + xx[j]); maxy = max(maxy, py[i] + yy[j]); miny = min(miny, py[i] + yy[j]); maxx = max(maxx, px[i] + xx[j] + maxsx[i + 1]); minx = min(minx, px[i] + xx[j] + minsx[i + 1]); maxy = max(maxy, py[i] + yy[j] + maxsy[i + 1]); miny = min(miny, py[i] + yy[j] + minsy[i + 1]); ans = min(ans, (maxx - minx + 1) * 1LL * (maxy - miny + 1)); } } cout << ans << endl; } int main() { ios_base::sync_with_stdio(false); int tt; cin >> tt; while (tt--) solv(); return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; constexpr ll inf = 0x3FFFFFFFF; struct res { ll l = 0; ll r = 0; ll d = 0; ll u = 0; ll lastl = 0; ll lastr = 0; ll lastd = 0; ll lastu = 0; ll get() { return (r + 1 - l) * (u + 1 - d); } }; res calc(const string& s) { ll x = 0; ll y = 0; res r; for (ll i = 0; i < (int)(s).size(); i++) { char c = s[i]; if (c == 'W') y++; if (c == 'S') y--; if (c == 'A') x--; if (c == 'D') x++; if (x > r.r) { r.r = x; r.lastr = i; } if (x < r.l) { r.l = x; r.lastl = i; } if (y > r.u) { r.u = y; r.lastu = i; } if (y < r.d) { r.d = y; r.lastd = i; } } return r; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); ll n; cin >> n; for (ll i = 0; i < n; i++) { string s; cin >> s; res r = calc(s); ll out = r.get(); string a, b, c, d; for (ll i = 0; i < (int)(s).size(); i++) { if (i == r.lastl) a += 'D'; if (i == r.lastr) b += 'A'; if (i == r.lastu) c += 'S'; if (i == r.lastd) d += 'W'; a += s[i]; b += s[i]; c += s[i]; d += s[i]; } for (const string& x : {a, b, c, d}) { res c = calc(x); out = min(out, c.get()); } cout << out << endl; } }
#include <bits/stdc++.h> using namespace std; int main() { long long int t, n, hs1, hs2, hp, vs1, vs2, vp, ths1, ths2, thp, tvs1, tvs2, tvp; cin >> t; string s; while (t-- > 0) { hs1 = 0; hs2 = 0; hp = 0; vs1 = 0; vs2 = 0; vp = 0; ths1 = 0; ths2 = 0; thp = 0; tvs1 = 0; tvs2 = 0; tvp = 0; cin >> s; for (int i = 0; i < s.length(); i++) { if (s[i] == 'W') { hp++; if (hp > hs1) hs1 = hp; } if (s[i] == 'S') { hp--; if (hp < hs2) hs2 = hp; } if (s[i] == 'A') { vp--; if (vp < vs2) vs2 = vp; } if (s[i] == 'D') { vp++; if (vp > vs1) vs1 = vp; } } bool fh1 = 0, fh2 = 0, fv1 = 0, fv2 = 0, h1 = 1, h2 = 1, v1 = 1, v2 = 1; if (thp == hs1) fh1 = 1; if (thp == hs2) fh2 = 1; if (tvp == vs2) fv2 = 1; if (tvp == vs1) fv1 = 1; for (int i = 0; i < s.length(); i++) { if (s[i] == 'W') { thp++; if (thp == hs1) fh1 = 1; if (fh2 == 1) if (thp == hs1) h1 = 0; } if (s[i] == 'S') { thp--; if (thp == hs2) fh2 = 1; if (fh1 == 1) if (thp == hs2) h2 = 0; } if (s[i] == 'A') { tvp--; if (tvp == vs2) fv2 = 1; if (fv1 == 1) if (tvp == vs2) v2 = 0; } if (s[i] == 'D') { tvp++; if (tvp == vs1) fv1 = 1; if (fv2 == 1) if (tvp == vs1) v1 = 0; } } long long int mi = (hs1 - hs2 + 1) * (vs1 - vs2 + 1); if (v1 + v2 == 1 && vs1 - vs2 != 1) mi = min(mi, (hs1 - hs2 + 1) * (vs1 - vs2)); if (h1 + h2 == 1 && hs1 - hs2 != 1) mi = min(mi, (hs1 - hs2) * (vs1 - vs2 + 1)); cout << mi << '\n'; } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { long long t; cin >> t; while (t--) { string s; cin >> s; bool hor = false; bool ver = false; long long cantW = 0; long long cantA = 0; long long cantS = 0; long long cantD = 0; long long der = 0; long long izq = 0; long long up = 0; long long down = 0; long long y = 0; long long x = 0; for (long long i = 0; i < s.size(); i++) { if (s[i] == 'W') { y++; if (y > up) up = y; cantW++; } else if (s[i] == 'S') { y--; if (y < down) down = y; cantS++; } else if (s[i] == 'A') { x--; if (x < izq) izq = x; cantA++; } else if (s[i] == 'D') { x++; if (x > der) der = x; cantD++; } } vector<int> ups(s.size() + 1); vector<int> downs(s.size() + 1); vector<int> izqs(s.size() + 1); vector<int> ders(s.size() + 1); x = 0; y = 0; if (up == 0) ups[0] = 1; if (down == 0) downs[0] = 1; if (izq == 0) izqs[0] = 1; if (der == 0) ders[0] = 1; for (long long i = 0; i < s.size(); i++) { ups[i + 1] = ups[i]; downs[i + 1] = downs[i]; izqs[i + 1] = izqs[i]; ders[i + 1] = ders[i]; if (s[i] == 'W') { y++; if (y == up) ups[i + 1]++; } else if (s[i] == 'S') { y--; if (y == down) downs[i + 1]++; } else if (s[i] == 'A') { x--; if (x == izq) izqs[i + 1]++; } else if (s[i] == 'D') { x++; if (x == der) ders[i + 1]++; } } x = 0; y = 0; long long up2 = 0; long long down2 = 0; long long izq2 = 0; long long der2 = 0; bool cambio = false; for (long long i = 0; i < s.size(); i++) { if (!cambio && ups[i] < ups[i + 1]) { cambio = true; y--; if (y < down2) down2 = y; } if (s[i] == 'W') { y++; if (y > up2) up2 = y; } else if (s[i] == 'S') { y--; if (y < down2) down2 = y; } } if (cambio && up2 < up && down2 >= down) ver = true; x = 0; y = 0; up2 = 0; down2 = 0; izq2 = 0; der2 = 0; cambio = false; for (long long i = 0; i < s.size(); i++) { if (!cambio && downs[i] < downs[i + 1]) { cambio = true; y++; if (y > up2) up2 = y; } if (s[i] == 'W') { y++; if (y > up2) up2 = y; } else if (s[i] == 'S') { y--; if (y < down) down2 = y; } } if (cambio && down2 > down && up2 <= up) ver = true; x = 0; y = 0; up2 = 0; down2 = 0; izq2 = 0; der2 = 0; cambio = false; for (long long i = 0; i < s.size(); i++) { if (!cambio && izqs[i] < izqs[i + 1]) { cambio = true; x++; } if (s[i] == 'D') { x++; if (x > der2) der2 = x; } else if (s[i] == 'A') { x--; if (x < izq2) izq2 = x; } } if (cambio && izq2 > izq && der2 <= der) hor = true; x = 0; y = 0; up2 = 0; down2 = 0; izq2 = 0; der2 = 0; cambio = false; for (long long i = 0; i < s.size(); i++) { if (!cambio && ders[i] < ders[i + 1]) { cambio = true; x--; } if (s[i] == 'D') { x++; if (x > der2) der2 = x; } else if (s[i] == 'A') { x--; if (x < izq2) izq2 = x; } } if (cambio && izq2 >= izq && der2 < der) hor = true; long long area = 1; long long h = der - izq; long long v = up - down; hor &= (h > 1); ver &= (v > 1); if (cantW == 0 && cantS == 0 && cantA == 0 && cantD == 0) cout << 1 << '\n'; else if (cantD == 0 && cantA == 0) { if (ver) { cout << v << '\n'; } else { cout << v + 1 << '\n'; } } else if (cantS == 0 && cantW == 0) { if (hor) { cout << h << '\n'; } else { cout << h + 1 << '\n'; } } else { if (ver && hor) { cout << min(h * (v + 1), v * (h + 1)) << '\n'; } else if (ver) { cout << v * (h + 1) << '\n'; } else if (hor) { cout << h * (v + 1) << '\n'; } else { cout << (h + 1) * (v + 1) << '\n'; } } } }
#include <bits/stdc++.h> using namespace std; long long read() { char cc = getchar(); long long cn = 0, flus = 1; while (cc < '0' || cc > '9') { if (cc == '-') flus = -flus; cc = getchar(); } while (cc >= '0' && cc <= '9') cn = cn * 10 + cc - '0', cc = getchar(); return cn * flus; } const long long N = 2e5 + 5; char s[N]; long long a[N], b[N], sum1[N], sum2[N], mi1[N], mx1[N], mi2[N], mx2[N], n, num, cnt; signed main() { long long T = read(); while (T--) { scanf("%s", s + 1); n = strlen(s + 1), num = 0, cnt = 0; for (long long i = 1; i <= n; ++i) { if (s[i] == 'W') a[++num] = 1; if (s[i] == 'S') a[++num] = -1; if (s[i] == 'A') b[++cnt] = -1; if (s[i] == 'D') b[++cnt] = 1; } for (long long i = 1; i <= num; ++i) sum1[i] = a[i] + sum1[i - 1], mi1[i] = min(sum1[i], mi1[i - 1]), mx1[i] = max(sum1[i], mx1[i - 1]); for (long long i = 1; i <= cnt; ++i) sum2[i] = b[i] + sum2[i - 1], mi2[i] = min(sum2[i], mi2[i - 1]), mx2[i] = max(sum2[i], mx2[i - 1]); long long Ans = (mx1[num] - mi1[num] + 1) * (mx2[cnt] - mi2[cnt] + 1); long long x = mx1[num] - mi1[num], y = mx2[cnt] - mi2[cnt]; long long mx = 0, mi = 0, Mi, Mx, xx = x, yy = y; for (long long i = num; i >= 1; --i) { mi = min(sum1[i] - 1, mi), mx = max(sum1[i] - 1, mx); Mi = min(mi, mi1[i]), Mx = max(mx, mx1[i]); xx = min(xx, Mx - Mi); } Ans = min(Ans, (xx + 1) * (y + 1)); xx = x, mx = 0, mi = 0; for (long long i = num; i >= 1; --i) { mi = min(sum1[i] + 1, mi), mx = max(sum1[i] + 1, mx); Mi = min(mi, mi1[i]), Mx = max(mx, mx1[i]); xx = min(xx, Mx - Mi); } Ans = min(Ans, (xx + 1) * (y + 1)); mx = mi = 0; yy = y; for (long long i = cnt; i >= 1; --i) { mi = min(sum2[i] - 1, mi), mx = max(sum2[i] - 1, mx); Mi = min(mi, mi2[i]), Mx = max(mx, mx2[i]); yy = min(yy, Mx - Mi); } Ans = min(Ans, (x + 1) * (yy + 1)); mx = mi = 0; yy = y; for (long long i = cnt; i >= 1; --i) { mi = min(sum2[i] + 1, mi), mx = max(sum2[i] + 1, mx); Mi = min(mi, mi2[i]), Mx = max(mx, mx2[i]); yy = min(yy, Mx - Mi); } Ans = min(Ans, (x + 1) * (yy + 1)); printf("%I64d\n", Ans); } return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int t; cin >> t; while (t--) { string s; cin >> s; int yatay, dikey; long long k = 0; long long minny = 0; long long maxxy = 0; for (int i = 0; i < s.size(); i++) { if (s[i] == 'D') k++; else if (s[i] == 'A') k--; minny = min(minny, k); maxxy = max(maxxy, k); } int num = 0; int last = 0; k = 0; if (k == minny && last != -1) { num++; last = -1; } if (k == maxxy && last != 1) { num++; last = 1; } for (int i = 0; i < s.size(); i++) { if (s[i] == 'D') k++; else if (s[i] == 'A') k--; if (k == minny && last != -1) { num++; last = -1; } if (k == maxxy && last != 1) { num++; last = 1; } } yatay = num < 3; if (maxxy <= minny + 1) yatay = 0; long long minnd = 0; long long maxxd = 0; k = 0; for (int i = 0; i < s.size(); i++) { if (s[i] == 'W') k++; else if (s[i] == 'S') k--; minnd = min(minnd, k); maxxd = max(maxxd, k); } num = 0; last = 0; k = 0; if (k == minnd && last != -1) { num++; last = -1; } if (k == maxxd && last != 1) { num++; last = 1; } for (int i = 0; i < s.size(); i++) { if (s[i] == 'W') k++; else if (s[i] == 'S') k--; if (k == minnd && last != -1) { num++; last = -1; } if (k == maxxd && last != 1) { num++; last = 1; } } dikey = (num < 3); if (maxxd <= minnd + 1) dikey = 0; cout << min((maxxy - minny + 1) * (maxxd - minnd + 1) - yatay * ((maxxd - minnd + 1)), (maxxy - minny + 1) * (maxxd - minnd + 1) - dikey * (maxxy - minny + 1)) << endl; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 4e5 + 100; struct node { long long minx, miny, maxx, maxy; } aa[maxn], bb[maxn]; char a[maxn]; int main() { ios::sync_with_stdio(false); int t; cin >> t; while (t--) { cin >> (a + 1); a[0] = ' '; int len = strlen(a) - 1; long long x = 0, y = 0; for (int i = 1; i <= len; i++) { if (a[i] == 'D') { x++; a[i] = 'A'; } else if (a[i] == 'S') { y--; a[i] = 'W'; } else if (a[i] == 'A') { x--; a[i] = 'D'; } else if (a[i] == 'W') { a[i] = 'S'; y++; } aa[i].maxx = max(aa[i - 1].maxx, x); aa[i].maxy = max(aa[i - 1].maxy, y); aa[i].minx = min(aa[i - 1].minx, x); aa[i].miny = min(aa[i - 1].miny, y); } bb[len].maxx = bb[len].minx = x; bb[len].maxy = bb[len].miny = y; for (int i = len; i >= 1; i--) { if (a[i] == 'D') { x++; } if (a[i] == 'S') { y--; } if (a[i] == 'A') { x--; } if (a[i] == 'W') { y++; } bb[i - 1].maxx = max(bb[i].maxx, x); bb[i - 1].maxy = max(bb[i].maxy, y); bb[i - 1].minx = min(bb[i].minx, x); bb[i - 1].miny = min(bb[i].miny, y); } long long ans = 999999999999, xx, yy, xxx, yyy; for (int i = 0; i < len; i++) { xx = min(aa[i].minx, bb[i].minx - 1); yy = min(aa[i].miny, bb[i].miny); xxx = max(aa[i].maxx, bb[i].maxx - 1); yyy = max(aa[i].maxy, bb[i].maxy); ans = min(ans, (xxx - xx + 1) * (yyy - yy + 1)); xx = min(aa[i].minx, bb[i].minx + 1); yy = min(aa[i].miny, bb[i].miny); xxx = max(aa[i].maxx, bb[i].maxx + 1); yyy = max(aa[i].maxy, bb[i].maxy); ans = min(ans, (xxx - xx + 1) * (yyy - yy + 1)); xx = min(aa[i].minx, bb[i].minx); yy = min(aa[i].miny, bb[i].miny - 1); xxx = max(aa[i].maxx, bb[i].maxx); yyy = max(aa[i].maxy, bb[i].maxy - 1); ans = min(ans, (xxx - xx + 1) * (yyy - yy + 1)); xx = min(aa[i].minx, bb[i].minx); yy = min(aa[i].miny, bb[i].miny + 1); xxx = max(aa[i].maxx, bb[i].maxx); yyy = max(aa[i].maxy, bb[i].maxy + 1); ans = min(ans, (xxx - xx + 1) * (yyy - yy + 1)); } cout << ans << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = (int)1e9; const int MXN = (int)1e6 + 7; const int mod = (int)1e9 + 7; char s[MXN]; int xx[] = {0, 1, 0, -1}; int yy[] = {1, 0, -1, 0}; int dir(char ch) { if (ch == 'W') return 0; else if (ch == 'D') return 1; else if (ch == 'S') return 2; else return 3; } pair<int, int> pos[MXN]; int lmxn[MXN][4], rmxn[MXN][4]; int main() { int t; scanf("%d", &t); while (t--) { scanf("%s", s + 1); int l = strlen(s + 1); for (int i = 0; i < 4; i++) rmxn[l + 1][i] = 0; int x = 0, y = 0; for (int i = 1; i <= l; i++) { int d = dir(s[i]); x += xx[d]; y += yy[d]; pos[i] = {x, y}; for (int j = 0; j < 4; j++) lmxn[i][j] = lmxn[i - 1][j]; lmxn[i][0] = max(lmxn[i][0], y); lmxn[i][1] = max(lmxn[i][1], x); lmxn[i][2] = min(lmxn[i][2], y); lmxn[i][3] = min(lmxn[i][3], x); } long long ans = (lmxn[l][0] - lmxn[l][2] + 1) * 1ll * (lmxn[l][1] - lmxn[l][3] + 1); x = 0, y = 0; for (int i = l; i >= 1; i--) { int d = dir(s[i]); d = (d + 2) % 4; x += xx[d]; y += yy[d]; for (int j = 0; j < 4; j++) rmxn[i][j] = rmxn[i + 1][j]; rmxn[i][0] = max(rmxn[i][0], y); rmxn[i][1] = max(rmxn[i][1], x); rmxn[i][2] = min(rmxn[i][2], y); rmxn[i][3] = min(rmxn[i][3], x); int l, r, b, t; t = max(rmxn[i][0] - y + 1, lmxn[i - 1][0] - pos[i - 1].second); r = max(rmxn[i][1] - x, lmxn[i - 1][1] - pos[i - 1].first); d = min(rmxn[i][2] - y + 1, lmxn[i - 1][2] - pos[i - 1].second); l = min(rmxn[i][3] - x, lmxn[i - 1][3] - pos[i - 1].first); ans = min(ans, (t - d + 1) * 1ll * (r - l + 1)); t = max(rmxn[i][0] - y, lmxn[i - 1][0] - pos[i - 1].second); r = max(rmxn[i][1] - x + 1, lmxn[i - 1][1] - pos[i - 1].first); d = min(rmxn[i][2] - y, lmxn[i - 1][2] - pos[i - 1].second); l = min(rmxn[i][3] - x + 1, lmxn[i - 1][3] - pos[i - 1].first); ans = min(ans, (t - d + 1) * 1ll * (r - l + 1)); t = max(rmxn[i][0] - y - 1, lmxn[i - 1][0] - pos[i - 1].second); r = max(rmxn[i][1] - x, lmxn[i - 1][1] - pos[i - 1].first); d = min(rmxn[i][2] - y - 1, lmxn[i - 1][2] - pos[i - 1].second); l = min(rmxn[i][3] - x, lmxn[i - 1][3] - pos[i - 1].first); ans = min(ans, (t - d + 1) * 1ll * (r - l + 1)); t = max(rmxn[i][0] - y, lmxn[i - 1][0] - pos[i - 1].second); r = max(rmxn[i][1] - x - 1, lmxn[i - 1][1] - pos[i - 1].first); d = min(rmxn[i][2] - y, lmxn[i - 1][2] - pos[i - 1].second); l = min(rmxn[i][3] - x - 1, lmxn[i - 1][3] - pos[i - 1].first); ans = min(ans, (t - d + 1) * 1ll * (r - l + 1)); } printf("%lld\n", ans); } return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7; const long long inf = 1e9 + 7; const long long MAX = 200010; const long double EPS = 1e-9; signed main() { cin.tie(0); ios::sync_with_stdio(false); long long t; cin >> t; while (t) { t--; string s; cin >> s; long long n = s.size(); vector<vector<long long> > rui(n + 1, vector<long long>(4)); long long nowx = 0, nowy = 0; for (long long i = (0); i < (n); i++) { if (s[i] == 'D') { nowx++; } else if (s[i] == 'S') { nowy--; } else if (s[i] == 'A') { nowx--; } else { nowy++; } rui[i + 1][0] = max(rui[i][0], nowx); rui[i + 1][1] = min(rui[i][1], nowy); rui[i + 1][2] = min(rui[i][2], nowx); rui[i + 1][3] = max(rui[i][3], nowy); } long long X = rui[n][0] - rui[n][2] + 1; long long Y = rui[n][3] - rui[n][1] + 1; long long ans = X * Y; vector<vector<long long> > rm(n + 1, vector<long long>(4)); rm[n][0] = nowx; rm[n][1] = nowy; rm[n][2] = nowx; rm[n][3] = nowy; for (long long i = n - 1; i >= 0; i--) { if (s[i] == 'D') { nowx--; } else if (s[i] == 'S') { nowy++; } else if (s[i] == 'A') { nowx++; } else { nowy--; } rm[i][0] = max(rm[i + 1][0], nowx); rm[i][1] = min(rm[i + 1][1], nowy); rm[i][2] = min(rm[i + 1][2], nowx); rm[i][3] = max(rm[i + 1][3], nowy); } for (long long i = (0); i < (n); i++) { if (s[i] == 'D') { nowx++; } else if (s[i] == 'S') { nowy--; } else if (s[i] == 'A') { nowx--; } else { nowy++; } if (rui[n][0] - rui[i + 1][0] > 0) { if (rm[i + 1][2] > rui[i + 1][2]) ans = min(ans, X * Y - Y); } if (rui[n][1] - rui[i + 1][1] < 0) { if (rm[i + 1][3] < rui[i + 1][3]) ans = min(ans, X * Y - X); } if (rui[n][2] - rui[i + 1][2] < 0) { if (rm[i + 1][0] < rui[i + 1][0]) ans = min(ans, X * Y - Y); } if (rui[n][3] - rui[i + 1][3] > 0) { if (rm[i + 1][1] > rui[i + 1][1]) ans = min(ans, X * Y - X); } } cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; int main() { int T; cin >> T; string s; int pSum1[200004]; int pSum2[200004]; int min1, min2, max1, max2; int fmin, fmax, lmin, lmax; int width, heigth, pwidth, pheigth; int i1, i2; long long ans; for (int i = 0; i < T; i++) { s.clear(); cin >> s; pSum1[0] = 0; pSum2[0] = 0; min1 = 0; min2 = 0; max1 = 0; max2 = 0; i1 = 0, i2 = 0; for (int j = 0; j < s.length(); j++) { if (s[j] == 'W') { pSum1[i1 + 1] = pSum1[i1] + 1; if (pSum1[i1 + 1] > max1) max1 = pSum1[i1 + 1]; i1++; } if (s[j] == 'S') { pSum1[i1 + 1] = pSum1[i1] - 1; if (pSum1[i1 + 1] < min1) min1 = pSum1[i1 + 1]; i1++; } if (s[j] == 'A') { pSum2[i2 + 1] = pSum2[i2] - 1; if (pSum2[i2 + 1] < min2) min2 = pSum2[i2 + 1]; i2++; } if (s[j] == 'D') { pSum2[i2 + 1] = pSum2[i2] + 1; if (pSum2[i2 + 1] > max2) max2 = pSum2[i2 + 1]; i2++; } } width = max2 - min2 + 1; heigth = max1 - min1 + 1; pwidth = width; pheigth = heigth; fmin = -1; fmax = -1; for (int j = 0; j < i1 + 1; j++) { if (pSum1[j] == min1) { lmin = j; if (fmin == -1) fmin = j; } if (pSum1[j] == max1) { lmax = j; if (fmax == -1) fmax = j; } } if ((fmin > lmax || fmax > lmin) && heigth > 2) pheigth--; fmin = -1; fmax = -1; for (int j = 0; j < i2 + 1; j++) { if (pSum2[j] == min2) { lmin = j; if (fmin == -1) fmin = j; } if (pSum2[j] == max2) { lmax = j; if (fmax == -1) fmax = j; } } if ((fmin > lmax || fmax > lmin) && width > 2) pwidth--; ans = min((long long)heigth * pwidth, (long long)pheigth * width); cout << ans << '\n'; } }
#include <bits/stdc++.h> using namespace std; int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int T; cin >> T; while (T--) { string S; cin >> S; S = "*" + S; int N = (int)S.size(); vector<int> h(N + 1), v(N + 1); for (int i = 1; i <= N; i++) { h[i] = h[i - 1]; v[i] = v[i - 1]; if (S[i] == 'D') { h[i]++; } if (S[i] == 'A') { h[i]--; } if (S[i] == 'W') { v[i]++; } if (S[i] == 'S') { v[i]--; } } vector<int> ml(N + 1), mr(N + 1), mu(N + 1), md(N + 1); mr[N] = h[N]; ml[N] = h[N]; mu[N] = v[N]; md[N] = v[N]; for (int i = N - 1; i >= 0; i--) { mr[i] = max(h[i], mr[i + 1]); ml[i] = min(h[i], ml[i + 1]); mu[i] = max(v[i], mu[i + 1]); md[i] = min(v[i], md[i + 1]); } long long ans = 1LL * (abs(md[0]) + mu[0] + 1) * (abs(ml[0]) + mr[0] + 1); int ch = 0, cv = 0; int cl = 0, cr = 0, cu = 0, cd = 0; for (int i = 0; i < N; i++) { long long R = 1LL * (1 + max({cr, ch + 1, mr[i] + 1}) + abs(min({cl, ch + 1, ml[i] + 1}))) * (1 + mu[0] + abs(md[0])); long long L = 1LL * (1 + max({cr, ch - 1, mr[i] - 1}) + abs(min({cl, ch - 1, ml[i] - 1}))) * (1 + mu[0] + abs(md[0])); long long U = 1LL * (1 + max({cu, cv + 1, mu[i] + 1}) + abs(min({cd, cv + 1, md[i] + 1}))) * (1 + mr[0] + abs(ml[0])); long long D = 1LL * (1 + max({cu, cv - 1, mu[i] - 1}) + abs(min({cd, cv - 1, md[i] - 1}))) * (1 + mr[0] + abs(ml[0])); ans = min({ans, L, R, U, D}); if (S[i] == 'D') { ch++; cr = max(ch, cr); } if (S[i] == 'A') { ch--; cl = min(ch, cl); } if (S[i] == 'W') { cv++; cu = max(cv, cu); } if (S[i] == 'S') { cv--; cd = min(cv, cd); } } cout << ans << '\n'; } }