結果
| 問題 | No.1301 Strange Graph Shortest Path |
| ユーザー |
 もりを
|
| 提出日時 | 2020-11-28 00:10:18 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 11,008 bytes |
| コンパイル時間 | 2,204 ms |
| コンパイル使用メモリ | 219,192 KB |
| 実行使用メモリ | 38,944 KB |
| 最終ジャッジ日時 | 2024-07-26 21:18:05 |
| 合計ジャッジ時間 | 7,456 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / 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
6,812 KB |
| testcase_01 | AC | 2 ms
6,940 KB |
| testcase_02 | TLE | - |
| testcase_03 | -- | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
| testcase_26 | -- | - |
| testcase_27 | -- | - |
| testcase_28 | -- | - |
| testcase_29 | -- | - |
| testcase_30 | -- | - |
| testcase_31 | -- | - |
| testcase_32 | -- | - |
| testcase_33 | -- | - |
| testcase_34 | -- | - |
ソースコード
// URL : https://yukicoder.me/problems/no/1301
#pragma region optimize
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma endregion
#include <bits/stdc++.h>
using namespace std;
// #include <atcoder/all>
#pragma region boost multiprecision
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// using Bint = boost::multiprecision::cpp_int;
// using Bfloat32 = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<32>>;
// using Bfloat1024 = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;
#pragma endregion
// #define int long long
// #define endl '\n'
#pragma region TEMPLATE
// clang-format off
/* TYPE */
typedef long long ll; typedef long double ld;
typedef pair<int, int> pii; typedef pair<ll, ll> pll;
typedef vector<pii> vpii; typedef vector<pll> vpll;
typedef vector<int> vi; typedef vector<ll> vl;
typedef vector<string> vst; typedef vector<bool> vb;
typedef vector<ld> vld; typedef vector<vector<int>> vvi;
template<typename T, typename Cmp = less<>> using prique = priority_queue<T, vector<T>, Cmp>;
template<typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\n'
const int INF = 1 << 30; const ll INFF = 1LL << 60; const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7; const int MODD = 998244353; const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9; const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1, 0 };
const int dy[] = { 0, 1, 0, -1, -1, -1, 1, 1, 0 };
/* CONTAINER */
#define PB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val) (int)(x).size() - LESS((x), (val))
#define UNIQUE(v) sort(ALL(v)); (v).erase(unique(ALL(v)), (v).end())
template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) { u = U(v...); }
template<typename T, typename U, typename... V> enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) { for (auto &e : u) fill_v<T>(e, v...); }
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n) REPI(i, 0, n)
#define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...) _overload3(__VA_ARGS__, REPI, _REP,)(__VA_ARGS__)
#define _RREP(i, n) RREPI(i, n, 0)
#define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP,)(__VA_ARGS__)
#define EACH(e, v) for (auto& e : v)
#define PERM(v) sort(ALL(v)); for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template<typename T> void SSS(T& t) { cin >> t; }
template<typename Head, typename... Tail> void SSS(Head&& head, Tail&&... tail) { cin >> head; SSS(tail...); }
#define SS(T, ...) T __VA_ARGS__; SSS(__VA_ARGS__);
#define SV(T, v, n) vector<T> v(n); for (auto& i : v) cin >> i;
#define SVV(T, v, n, m) vector<vector<T>> v(n, vector<T>(m)); for (auto& r : v) for (auto& i : r) cin >> i;
/* OUTPUT */
// Yes / No
inline int YES(bool x) { cout << (x ? "YES" : "NO") << endl; return 0; }
inline int Yes(bool x) { cout << (x ? "Yes" : "No") << endl; return 0; }
inline int yes(bool x) { cout << (x ? "yes" : "no") << endl; return 0; }
inline int yES(bool x) { cout << (x ? "yES" : "nO") << endl; return 0; }
inline int Yay(bool x) { cout << (x ? "Yay!" : ":(") << endl; return 0; }
// PROTOTYPE DECLARATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j);
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)> = nullptr> ostream& operator<<(ostream &os, const C &c);
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &j) { return os << '{' << j.first << ", " << j.second << '}'; }
template<size_t num = 0, typename... T> enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {}
template<size_t num = 0, typename... T> enable_if_t<num < sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) { os << get<num>(t); if (num + 1 < sizeof...(T)) os << ", "; PRINT_TUPLE<num + 1>(os, t); }
template<typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t) { PRINT_TUPLE(os << '{', t); return os << '}'; }
template<class C, enable_if_t<!is_same<C, string>::value, decltype(declval<const C &>().begin(), nullptr)>> ostream& operator<<(ostream &os, const C &c) { os << '{'; for (auto it = begin(c); it != end(c); it++) { if (begin(c) != it) os << ", "; os << *it; } return os << '}'; }
template<typename T> ostream &operator<<(ostream &os, const stack<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; }
template<typename T> ostream &operator<<(ostream &os, const queue<T> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_back(c.front()); return os << d; }
template<typename T, typename C, typename Cmp> ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) { deque<T> d; for (auto c = j; !c.empty(); c.pop()) d.push_front(c.top()); return os << d; }
// OUTPUT FUNCTION
template<typename T> int PV(T &v) { int sz = v.size(); for (int i = 0; i < sz; ++i) cout << v[i] << " \n"[i == sz - 1]; return 0; }
inline int print() { cout << endl; return 0; }
template<typename Head> int print(Head&& head){ cout << head; return print(); }
template<typename Head, typename... Tail> int print(Head&& head, Tail&&... tail) { cout << head << " "; return print(forward<Tail>(tail)...); }
#ifdef LOCAL
inline void dump() { cerr << endl; }
template<typename Head> void dump(Head&& head) { cerr << head; dump(); }
template<typename Head, typename... Tail> void dump(Head&& head, Tail&&... tail) { cerr << head << ", "; dump(forward<Tail>(tail)...); }
#define debug(...) do {cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
template<typename T, typename A, typename B> inline bool between(T x, A a, B b) { return ((a <= x) && (x < b)); }
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; }
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) { ll r = 1; do { if (b & 1) r *= a; a *= a; } while (b >>= 1); return r; }
struct abracadabra {
abracadabra() {
cin.tie(nullptr); ios::sync_with_stdio(false);
cout << fixed << setprecision(20);
cerr << fixed << setprecision(5);
};
} ABRACADABRA;
// clang-format on
#pragma endregion
#pragma region graph minimum cost flow primaldual
/**
* @brief Primal Dual
* @docs docs/graph/minimumcostflow/primaldual.md
* @see http://www.prefield.com/algorithm/graph/primal_dual.html
* @note O(FE\log V)
*/
template <typename Cst, typename Cap>
struct PrimalDual {
struct CapEdge {
int to, rev;
Cst cst;
Cap cap;
CapEdge() {}
CapEdge(int t, int r, Cst cst, Cap cap)
: to(t), rev(r), cst(cst), cap(cap) {}
operator int() const { return to; }
};
using P = pair<Cst, int>;
const Cst INF;
int V;
vector<vector<CapEdge>> graph;
vector<Cst> pot, min_cst;
vector<int> prv_v, prv_e;
PrimalDual(int V)
: INF(numeric_limits<Cst>::max()), V(V), graph(V) {}
void add_arc(int a, int b, Cst cst, Cap cap) {
graph[a].emplace_back(b, (int)graph[b].size(), cst, cap);
graph[b].emplace_back(a, (int)graph[a].size() - 1, -cst, 0);
}
Cst min_cost_flow(int s, int t, Cap flw) {
pot.assign(V, 0);
prv_e.assign(V, -1);
prv_v.assign(V, -1);
Cst ret = 0;
priority_queue<P, vector<P>, greater<P>> pq;
while (flw > 0) {
min_cst.assign(V, INF);
pq.push(P(0, s));
min_cst[s] = 0;
while (not pq.empty()) {
Cst cst;
int idx;
tie(cst, idx) = pq.top();
pq.pop();
if (min_cst[idx] < cst) continue;
for (int i = 0; i < (int)graph[idx].size(); ++i) {
CapEdge &nxt = graph[idx][i];
int nxt_cst = min_cst[idx] + nxt.cst + pot[idx] - pot[nxt];
if (nxt.cap > 0 and min_cst[nxt] > nxt_cst) {
min_cst[nxt] = nxt_cst;
prv_v[nxt] = idx, prv_e[nxt] = i;
pq.push(P(min_cst[nxt], nxt));
}
}
}
if (min_cst[t] == INF) return -1;
for (int v = 0; v < V; ++v) pot[v] += min_cst[v];
Cap add_flw = flw;
for (int v = t; v != s; v = prv_v[v]) {
add_flw = min(add_flw, graph[prv_v[v]][prv_e[v]].cap);
}
flw -= add_flw;
ret += add_flw * pot[t];
for (int v = t; v != s; v = prv_v[v]) {
CapEdge &e = graph[prv_v[v]][prv_e[v]];
e.cap -= add_flw;
graph[v][e.rev].cap += add_flw;
}
}
return ret;
}
};
#pragma endregion
int solve();
signed main() {
// int _T; cin >> _T; for (int t = 1; t <= _T; ++t)
solve();
}
int solve() {
SS(int, N, M);
PrimalDual<ll, ll> pd(N);
REP (i, M) {
SS(int, U, V, C, D);
--U, --V;
pd.add_arc(U, V, C, 1);
pd.add_arc(U, V, D, 1);
swap(U, V);
pd.add_arc(U, V, C, 1);
pd.add_arc(U, V, D, 1);
}
print(pd.min_cost_flow(0, N - 1, 2));
return 0;
}