結果

問題 No.1301 Strange Graph Shortest Path
ユーザー 🍮かんプリン
提出日時 2020-11-28 16:46:35
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 294 ms / 3,000 ms
コード長 5,019 bytes
コンパイル時間 2,097 ms
コンパイル使用メモリ 190,224 KB
実行使用メモリ 36,452 KB
最終ジャッジ日時 2024-09-12 23:14:25
合計ジャッジ時間 11,702 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 33
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ソースコード

diff #
プレゼンテーションモードにする

/**
* @FileName a.cpp
* @Author kanpurin
* @Created 2020.11.28 16:46:30
**/
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
template <typename Cap, typename Cost>
struct MininumCostFlow {
private:
struct _edge {
int to, rev;
Cap cap;
Cost cost;
};
int _n;
std::vector<std::pair<int, int>> pos;
std::vector<std::vector<_edge>> g;
public:
MininumCostFlow() {}
MininumCostFlow(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);
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;
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(Q{dist[e.to], e.to});
}
}
}
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 = -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;
}
void print() {
for(auto e : this->edges()) {
cout << e.from << "->" << e.to << " [" << e.flow << "/" << e.cap << "], cost = " << e.cost << endl;
}
}
};
int main() {
int n,m;cin >> n >> m;
MininumCostFlow<ll,ll> g(n+1);
for (int i = 0; i < m; i++) {
int u,v,a,b;cin >> u >> v >> a >> b;
u--;v--;
g.add_edge(u,v,1,a);
g.add_edge(u,v,1,b);
g.add_edge(v,u,1,a);
g.add_edge(v,u,1,b);
}
g.add_edge(n,0,2,0);
cout << g.flow(n,n-1).second << endl;
return 0;
}
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