結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー | KoD |
提出日時 | 2020-11-27 23:45:58 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 309 ms / 3,000 ms |
コード長 | 6,165 bytes |
コンパイル時間 | 1,255 ms |
コンパイル使用メモリ | 101,236 KB |
実行使用メモリ | 36,432 KB |
最終ジャッジ日時 | 2024-07-26 19:52:08 |
合計ジャッジ時間 | 11,150 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge5 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | AC | 246 ms
35,952 KB |
testcase_03 | AC | 211 ms
32,052 KB |
testcase_04 | AC | 291 ms
34,856 KB |
testcase_05 | AC | 239 ms
35,672 KB |
testcase_06 | AC | 263 ms
32,468 KB |
testcase_07 | AC | 247 ms
34,388 KB |
testcase_08 | AC | 214 ms
32,472 KB |
testcase_09 | AC | 224 ms
30,748 KB |
testcase_10 | AC | 214 ms
31,988 KB |
testcase_11 | AC | 255 ms
33,448 KB |
testcase_12 | AC | 250 ms
33,324 KB |
testcase_13 | AC | 238 ms
35,536 KB |
testcase_14 | AC | 254 ms
30,812 KB |
testcase_15 | AC | 229 ms
31,976 KB |
testcase_16 | AC | 286 ms
34,836 KB |
testcase_17 | AC | 268 ms
36,432 KB |
testcase_18 | AC | 244 ms
33,136 KB |
testcase_19 | AC | 243 ms
32,696 KB |
testcase_20 | AC | 269 ms
31,432 KB |
testcase_21 | AC | 261 ms
34,936 KB |
testcase_22 | AC | 284 ms
32,276 KB |
testcase_23 | AC | 244 ms
35,896 KB |
testcase_24 | AC | 276 ms
32,128 KB |
testcase_25 | AC | 275 ms
34,964 KB |
testcase_26 | AC | 250 ms
33,464 KB |
testcase_27 | AC | 240 ms
33,604 KB |
testcase_28 | AC | 227 ms
35,164 KB |
testcase_29 | AC | 309 ms
34,268 KB |
testcase_30 | AC | 256 ms
34,624 KB |
testcase_31 | AC | 271 ms
34,368 KB |
testcase_32 | AC | 2 ms
5,376 KB |
testcase_33 | AC | 182 ms
29,680 KB |
testcase_34 | AC | 245 ms
36,240 KB |
ソースコード
#line 1 "main.cpp" /** * @title Template */ #include <iostream> #include <algorithm> #include <utility> #include <numeric> #include <vector> #include <array> #include <cassert> #include <queue> #line 1 "/Users/kodamankod/Desktop/ac-library/atcoder/mincostflow.hpp" #line 6 "/Users/kodamankod/Desktop/ac-library/atcoder/mincostflow.hpp" #include <limits> #line 9 "/Users/kodamankod/Desktop/ac-library/atcoder/mincostflow.hpp" namespace atcoder { 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 edge std::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)C for (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 = nC Cost 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)C dual[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; }; } // namespace atcoder #line 15 "main.cpp" using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; constexpr i32 inf32 = (i32(1) << 30) - 1; constexpr i64 inf64 = (i64(1) << 62) - 1; int main() { usize N, M; std::cin >> N >> M; atcoder::mcf_graph<i32, i64> net(N); while (M--) { usize u, v; i64 c, d; std::cin >> u >> v >> c >> d; u -= 1; v -= 1; net.add_edge(u, v, 1, c); net.add_edge(u, v, 1, d); net.add_edge(v, u, 1, c); net.add_edge(v, u, 1, d); } std::cout << net.flow(0, N - 1, 2).second << '\n'; return 0; }