結果
問題 | No.1301 Strange Graph Shortest Path |
ユーザー | tkmst201 |
提出日時 | 2020-11-27 22:48:52 |
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 | 6,004 bytes |
コンパイル時間 | 2,502 ms |
コンパイル使用メモリ | 219,844 KB |
実行使用メモリ | 37,712 KB |
最終ジャッジ日時 | 2023-10-09 21:41:04 |
合計ジャッジ時間 | 10,009 ms |
ジャッジサーバーID (参考情報) |
judge12 / 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 | 2 ms
4,352 KB |
testcase_01 | AC | 2 ms
4,352 KB |
testcase_02 | AC | 167 ms
35,708 KB |
testcase_03 | AC | 136 ms
31,896 KB |
testcase_04 | AC | 209 ms
34,972 KB |
testcase_05 | AC | 145 ms
35,424 KB |
testcase_06 | AC | 189 ms
32,488 KB |
testcase_07 | AC | 169 ms
34,508 KB |
testcase_08 | AC | 139 ms
32,732 KB |
testcase_09 | AC | 150 ms
30,716 KB |
testcase_10 | AC | 134 ms
32,136 KB |
testcase_11 | AC | 172 ms
33,480 KB |
testcase_12 | AC | 175 ms
34,400 KB |
testcase_13 | AC | 152 ms
35,684 KB |
testcase_14 | AC | 185 ms
31,520 KB |
testcase_15 | AC | 147 ms
31,904 KB |
testcase_16 | AC | 202 ms
34,556 KB |
testcase_17 | AC | 177 ms
36,340 KB |
testcase_18 | AC | 160 ms
33,196 KB |
testcase_19 | AC | 154 ms
32,536 KB |
testcase_20 | AC | 180 ms
31,484 KB |
testcase_21 | AC | 169 ms
34,732 KB |
testcase_22 | AC | 196 ms
32,060 KB |
testcase_23 | AC | 156 ms
35,972 KB |
testcase_24 | AC | 196 ms
32,000 KB |
testcase_25 | AC | 189 ms
34,736 KB |
testcase_26 | AC | 171 ms
33,388 KB |
testcase_27 | AC | 156 ms
33,288 KB |
testcase_28 | AC | 143 ms
35,760 KB |
testcase_29 | AC | 221 ms
33,992 KB |
testcase_30 | AC | 166 ms
34,564 KB |
testcase_31 | AC | 179 ms
34,464 KB |
testcase_32 | AC | 2 ms
4,348 KB |
testcase_33 | AC | 105 ms
29,592 KB |
testcase_34 | AC | 170 ms
37,712 KB |
ソースコード
#include <bits/stdc++.h> using namespace std; #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) begin(v),end(v) template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } using ll = long long; using pii = pair<int, int>; constexpr ll INF = 1ll<<30; constexpr ll longINF = 1ll<<60; constexpr ll MOD = 1000000007; constexpr bool debug = false; //---------------------------------// 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 int main() { int N, M; cin >> N >> M; atcoder::mcf_graph<int, ll> g(N + 2); REP(i, M) { int u, v, c, d; scanf("%d %d %d %d", &u, &v, &c, &d); --u; --v; g.add_edge(u, v, 1, c); g.add_edge(u, v, 1, d); g.add_edge(v, u, 1, c); g.add_edge(v, u, 1, d); } cout << g.flow(0, N - 1, 2).second << endl; }