結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー | Mister |
提出日時 | 2020-11-27 22:11:43 |
言語 | C++17 (gcc 13.2.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 221 ms / 3,000 ms |
コード長 | 5,246 bytes |
コンパイル時間 | 1,279 ms |
コンパイル使用メモリ | 99,448 KB |
実行使用メモリ | 36,624 KB |
最終ジャッジ日時 | 2023-10-10 21:43:07 |
合計ジャッジ時間 | 8,417 ms |
ジャッジサーバーID (参考情報) |
judge11 / judge15 |
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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 | 1 ms
4,348 KB |
testcase_01 | AC | 2 ms
4,348 KB |
testcase_02 | AC | 158 ms
35,808 KB |
testcase_03 | AC | 134 ms
32,116 KB |
testcase_04 | AC | 199 ms
34,824 KB |
testcase_05 | AC | 142 ms
35,188 KB |
testcase_06 | AC | 183 ms
32,580 KB |
testcase_07 | AC | 162 ms
34,212 KB |
testcase_08 | AC | 134 ms
32,236 KB |
testcase_09 | AC | 143 ms
30,688 KB |
testcase_10 | AC | 130 ms
32,904 KB |
testcase_11 | AC | 166 ms
33,256 KB |
testcase_12 | AC | 165 ms
33,504 KB |
testcase_13 | AC | 148 ms
35,472 KB |
testcase_14 | AC | 176 ms
30,524 KB |
testcase_15 | AC | 145 ms
32,484 KB |
testcase_16 | AC | 190 ms
34,408 KB |
testcase_17 | AC | 170 ms
36,616 KB |
testcase_18 | AC | 156 ms
32,944 KB |
testcase_19 | AC | 152 ms
32,532 KB |
testcase_20 | AC | 179 ms
32,268 KB |
testcase_21 | AC | 167 ms
34,900 KB |
testcase_22 | AC | 196 ms
32,420 KB |
testcase_23 | AC | 152 ms
35,556 KB |
testcase_24 | AC | 187 ms
32,084 KB |
testcase_25 | AC | 180 ms
34,808 KB |
testcase_26 | AC | 163 ms
33,388 KB |
testcase_27 | AC | 151 ms
33,104 KB |
testcase_28 | AC | 135 ms
35,248 KB |
testcase_29 | AC | 221 ms
34,088 KB |
testcase_30 | AC | 162 ms
34,388 KB |
testcase_31 | AC | 174 ms
34,336 KB |
testcase_32 | AC | 1 ms
4,348 KB |
testcase_33 | AC | 99 ms
29,320 KB |
testcase_34 | AC | 160 ms
36,624 KB |
ソースコード
#include <algorithm> #include <cassert> #include <limits> #include <queue> #include <vector> 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); assert(0 <= cap); assert(0 <= cost); int m = int(pos.size()); pos.push_back({from, int(g[from].size())}); int from_id = int(g[from].size()); int to_id = int(g[to].size()); if (from == to) to_id++; g[from].push_back(_edge{to, to_id, cap, cost}); g[to].push_back(_edge{from, from_id, 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); std::vector<Cost> dual(_n, 0), dist(_n); std::vector<int> pv(_n), pe(_n); std::vector<bool> vis(_n); struct Q { Cost key; int to; bool operator<(Q r) const { return key > r.key; } }; std::vector<Q> que; auto dual_ref = [&]() { std::fill(dist.begin(), dist.end(), std::numeric_limits<Cost>::max()); std::fill(vis.begin(), vis.end(), false); que.clear(); dist[s] = 0; que.push_back(Q{0, s}); std::push_heap(que.begin(), que.end()); while (!que.empty()) { int v = que.front().to; std::pop_heap(que.begin(), que.end()); que.pop_back(); if (vis[v]) continue; vis[v] = true; if (v == t) break; for (int i = 0; i < int(g[v].size()); i++) { auto e = g[v][i]; if (vis[e.to] || !e.cap) continue; 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_back(Q{dist[e.to], e.to}); std::push_heap(que.begin(), que.end()); } } } if (!vis[t]) { return false; } for (int v = 0; v < _n; v++) { if (!vis[v]) continue; dual[v] -= dist[t] - dist[v]; } return true; }; Cap flow = 0; Cost cost = 0, prev_cost_per_flow = -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_per_flow == d) { result.pop_back(); } result.push_back({flow, cost}); prev_cost_per_flow = d; } 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 #include <iostream> #include <vector> using lint = long long; using namespace std; void solve() { int n, m; cin >> n >> m; atcoder::mcf_graph<int, lint> graph(n); while (m--) { int u, v; cin >> u >> v; --u, --v; for (int q = 0; q < 2; ++q) { lint c; cin >> c; graph.add_edge(u, v, 1, c); graph.add_edge(v, u, 1, c); } } cout << graph.flow(0, n - 1, 2).second << "\n"; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); solve(); return 0; }