結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー |
![]() |
提出日時 | 2020-11-28 00:10:10 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
CE
(最新)
AC
(最初)
|
実行時間 | - |
コード長 | 6,067 bytes |
コンパイル時間 | 946 ms |
コンパイル使用メモリ | 93,128 KB |
最終ジャッジ日時 | 2025-01-16 08:46:21 |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
(要ログイン)
コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
ただし、clay言語の場合は開発者のデバッグのため、公開されます。
コンパイルメッセージ
main.cpp: In member function ‘std::pair<_T1, _T2> mcf_graph<Cap, Cost>::flow(int, int)’: main.cpp:60:32: error: ‘numeric_limits’ is not a member of ‘std’ 60 | return flow(s, t, std::numeric_limits<Cap>::max()); | ^~~~~~~~~~~~~~ main.cpp:60:50: error: expected primary-expression before ‘>’ token 60 | return flow(s, t, std::numeric_limits<Cap>::max()); | ^ main.cpp:60:56: error: no matching function for call to ‘max()’ 60 | return flow(s, t, std::numeric_limits<Cap>::max()); | ~~~~~^~ In file included from /usr/include/c++/13/string:51, from /usr/include/c++/13/bits/locale_classes.h:40, from /usr/include/c++/13/bits/ios_base.h:41, from /usr/include/c++/13/ios:44, from /usr/include/c++/13/ostream:40, from /usr/include/c++/13/iostream:41, from main.cpp:1: /usr/include/c++/13/bits/stl_algobase.h:257:5: note: candidate: ‘template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)’ 257 | max(const _Tp& __a, const _Tp& __b) | ^~~ /usr/include/c++/13/bits/stl_algobase.h:257:5: note: template argument deduction/substitution failed: main.cpp:60:56: note: candidate expects 2 arguments, 0 provided 60 | return flow(s, t, std::numeric_limits<Cap>::max()); | ~~~~~^~ /usr/include/c++/13/bits/stl_algobase.h:303:5: note: candidate: ‘template<class _Tp, class _Compare> constexpr const _Tp& std::max(const _Tp&, const _Tp&, _Compare)’ 303 | max(const _Tp& __a, const _Tp& __b, _Compare __comp) | ^~~ /usr/include/c++/13/bits/stl_algobase.h:303:5: note: template argument deduction/substitution failed: main.cpp:60:56: note: candidate expects 3 arguments, 0 provided
ソースコード
#include <iostream>#include <algorithm>#include <iomanip>#include <vector>#include <queue>#include <set>#include <map>#include <cassert>#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }using namespace std;typedef long long ll;template <class Cap, class Cost> struct mcf_graph {public:mcf_graph() {}mcf_graph(int n) : _n(n), g(n) {}int add_edge(int from, int to, Cap cap, Cost cost) {assert(0 <= from && from < _n);assert(0 <= to && to < _n);int m = int(pos.size());pos.push_back({from, int(g[from].size())});g[from].push_back(_edge{to, int(g[to].size()), cap, cost});g[to].push_back(_edge{from, int(g[from].size()) - 1, 0, -cost});return m;}struct edge {int from, to;Cap cap, flow;Cost cost;};edge get_edge(int i) {int m = int(pos.size());assert(0 <= i && i < m);auto _e = g[pos[i].first][pos[i].second];auto _re = g[_e.to][_e.rev];return edge{pos[i].first, _e.to, _e.cap + _re.cap, _re.cap, _e.cost,};}std::vector<edge> edges() {int m = int(pos.size());std::vector<edge> result(m);for (int i = 0; i < m; i++) {result[i] = get_edge(i);}return result;}std::pair<Cap, Cost> flow(int s, int t) {return flow(s, t, std::numeric_limits<Cap>::max());}std::pair<Cap, Cost> flow(int s, int t, Cap flow_limit) {return slope(s, t, flow_limit).back();}std::vector<std::pair<Cap, Cost>> slope(int s, int t) {return slope(s, t, std::numeric_limits<Cap>::max());}std::vector<std::pair<Cap, Cost>> slope(int s, int t, Cap flow_limit) {assert(0 <= s && s < _n);assert(0 <= t && t < _n);assert(s != t);// variants (C = maxcost):// -(n-1)C <= dual[s] <= dual[i] <= dual[t] = 0// reduced cost (= e.cost + dual[e.from] - dual[e.to]) >= 0 for all edgestd::vector<Cost> dual(_n, 0), dist(_n);std::vector<int> pv(_n), pe(_n);std::vector<bool> vis(_n);auto dual_ref = [&]() {std::fill(dist.begin(), dist.end(),std::numeric_limits<Cost>::max());std::fill(pv.begin(), pv.end(), -1);std::fill(pe.begin(), pe.end(), -1);std::fill(vis.begin(), vis.end(), false);struct Q {Cost key;int to;bool operator<(Q r) const { return key > r.key; }};std::priority_queue<Q> que;dist[s] = 0;que.push(Q{0, s});while (!que.empty()) {int v = que.top().to;que.pop();if (vis[v]) continue;vis[v] = true;if (v == t) break;// dist[v] = shortest(s, v) + dual[s] - dual[v]// dist[v] >= 0 (all reduced cost are positive)// dist[v] <= (n-1)Cfor (int i = 0; i < int(g[v].size()); i++) {auto e = g[v][i];if (vis[e.to] || !e.cap) continue;// |-dual[e.to] + dual[v]| <= (n-1)C// cost <= C - -(n-1)C + 0 = nCCost cost = e.cost - dual[e.to] + dual[v];if (dist[e.to] - dist[v] > cost) {dist[e.to] = dist[v] + cost;pv[e.to] = v;pe[e.to] = i;que.push(Q{dist[e.to], e.to});}}}if (!vis[t]) {return false;}for (int v = 0; v < _n; v++) {if (!vis[v]) continue;// dual[v] = dual[v] - dist[t] + dist[v]// = dual[v] - (shortest(s, t) + dual[s] - dual[t]) + (shortest(s, v) + dual[s] - dual[v])// = - shortest(s, t) + dual[t] + shortest(s, v)// = shortest(s, v) - shortest(s, t) >= 0 - (n-1)Cdual[v] -= dist[t] - dist[v];}return true;};Cap flow = 0;Cost cost = 0, prev_cost = -1;std::vector<std::pair<Cap, Cost>> result;result.push_back({flow, cost});while (flow < flow_limit) {if (!dual_ref()) break;Cap c = flow_limit - flow;for (int v = t; v != s; v = pv[v]) {c = std::min(c, g[pv[v]][pe[v]].cap);}for (int v = t; v != s; v = pv[v]) {auto& e = g[pv[v]][pe[v]];e.cap -= c;g[v][e.rev].cap += c;}Cost d = -dual[s];flow += c;cost += c * d;if (prev_cost == d) {result.pop_back();}result.push_back({flow, cost});prev_cost = cost;}return result;}private:int _n;struct _edge {int to, rev;Cap cap;Cost cost;};std::vector<std::pair<int, int>> pos;std::vector<std::vector<_edge>> g;};int main(){ios::sync_with_stdio(false);cin.tie(0);cout << setprecision(10) << fixed;int n, m;cin >> n >> m;mcf_graph<int, ll> mcf(n);for(int i = 0; i < m; i++){int u, v, c, d;cin >> u >> v >> c >> d;u--; v--;mcf.add_edge(u, v, 1, c);mcf.add_edge(v, u, 1, c);mcf.add_edge(u, v, 1, d);mcf.add_edge(v, u, 1, d);}cout << mcf.flow(0, n-1, 2).second << endl;}