結果
問題 | No.1995 CHIKA Road |
ユーザー | iiljj |
提出日時 | 2022-07-01 21:44:44 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 385 ms / 2,000 ms |
コード長 | 16,182 bytes |
コンパイル時間 | 2,247 ms |
コンパイル使用メモリ | 163,436 KB |
実行使用メモリ | 55,692 KB |
最終ジャッジ日時 | 2024-05-04 16:04:17 |
合計ジャッジ時間 | 6,903 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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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 | 1 ms
5,376 KB |
testcase_02 | AC | 1 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 2 ms
5,376 KB |
testcase_05 | AC | 2 ms
5,376 KB |
testcase_06 | AC | 14 ms
6,656 KB |
testcase_07 | AC | 52 ms
13,936 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 1 ms
5,376 KB |
testcase_10 | AC | 57 ms
15,480 KB |
testcase_11 | AC | 385 ms
55,692 KB |
testcase_12 | AC | 188 ms
32,400 KB |
testcase_13 | AC | 93 ms
20,940 KB |
testcase_14 | AC | 99 ms
21,768 KB |
testcase_15 | AC | 318 ms
49,384 KB |
testcase_16 | AC | 24 ms
8,576 KB |
testcase_17 | AC | 134 ms
24,992 KB |
testcase_18 | AC | 251 ms
38,788 KB |
testcase_19 | AC | 249 ms
39,004 KB |
testcase_20 | AC | 108 ms
22,852 KB |
testcase_21 | AC | 100 ms
21,228 KB |
testcase_22 | AC | 237 ms
37,164 KB |
testcase_23 | AC | 52 ms
14,080 KB |
testcase_24 | AC | 192 ms
32,960 KB |
testcase_25 | AC | 31 ms
9,464 KB |
testcase_26 | AC | 64 ms
15,988 KB |
testcase_27 | AC | 183 ms
32,076 KB |
testcase_28 | AC | 102 ms
21,228 KB |
testcase_29 | AC | 230 ms
37,980 KB |
testcase_30 | AC | 27 ms
9,344 KB |
testcase_31 | AC | 13 ms
6,144 KB |
testcase_32 | AC | 36 ms
11,192 KB |
testcase_33 | AC | 183 ms
31,528 KB |
testcase_34 | AC | 16 ms
6,656 KB |
testcase_35 | AC | 61 ms
15,268 KB |
testcase_36 | AC | 73 ms
17,328 KB |
testcase_37 | AC | 216 ms
35,344 KB |
testcase_38 | AC | 135 ms
27,008 KB |
testcase_39 | AC | 13 ms
6,036 KB |
ソースコード
/* #region Head */ // #include <bits/stdc++.h> #include <algorithm> #include <array> #include <bitset> #include <cassert> // assert.h #include <cmath> // math.h #include <cstring> #include <ctime> #include <deque> #include <fstream> #include <functional> #include <iomanip> #include <iostream> #include <list> #include <map> #include <memory> #include <numeric> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <string> #include <unordered_map> #include <unordered_set> #include <vector> using namespace std; using ll = long long; using ull = unsigned long long; using ld = long double; using pll = pair<ll, ll>; template <class T> using vc = vector<T>; template <class T> using vvc = vc<vc<T>>; using vll = vc<ll>; using vvll = vvc<ll>; using vld = vc<ld>; using vvld = vvc<ld>; using vs = vc<string>; using vvs = vvc<string>; template <class T, class U> using um = unordered_map<T, U>; template <class T> using pq = priority_queue<T>; template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>; template <class T> using us = unordered_set<T>; #define TREP(T, i, m, n) for (T i = (m), i##_len = (T)(n); i < i##_len; ++(i)) #define TREPM(T, i, m, n) for (T i = (m), i##_max = (T)(n); i <= i##_max; ++(i)) #define TREPR(T, i, m, n) for (T i = (m), i##_min = (T)(n); i >= i##_min; --(i)) #define TREPD(T, i, m, n, d) for (T i = (m), i##_len = (T)(n); i < i##_len; i += (d)) #define TREPMD(T, i, m, n, d) for (T i = (m), i##_max = (T)(n); i <= i##_max; i += (d)) #define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i)) #define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i)) #define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i)) #define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d)) #define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d)) #define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++) #define REPIR(itr, ds) for (auto itr = ds.rbegin(); itr != ds.rend(); itr++) #define ALL(x) begin(x), end(x) #define SIZE(x) ((ll)(x).size()) #define ISIZE(x) ((int)(x).size()) #define PERM(c) \ sort(ALL(c)); \ for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c))) #define UNIQ(v) v.erase(unique(ALL(v)), v.end()); #define CEIL(a, b) (((a) + (b)-1) / (b)) #define endl '\n' constexpr ll INF = 1'010'000'000'000'000'017LL; constexpr int IINF = 1'000'000'007LL; constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7 // constexpr ll MOD = 998244353; constexpr ld EPS = 1e-12; constexpr ld PI = 3.14159265358979323846; template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector 入力 for (T &x : vec) is >> x; return is; } template <typename T> ostream &operator<<(ostream &os, const vc<T> &vec) { // vector 出力 (for dump) os << "{"; REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template <typename T> ostream &operator>>(ostream &os, const vc<T> &vec) { // vector 出力 (inline) REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " "); return os; } template <typename T, size_t _Nm> istream &operator>>(istream &is, array<T, _Nm> &arr) { // array 入力 REP(i, 0, SIZE(arr)) is >> arr[i]; return is; } template <typename T, size_t _Nm> ostream &operator<<(ostream &os, const array<T, _Nm> &arr) { // array 出力 (for dump) os << "{"; REP(i, 0, SIZE(arr)) os << arr[i] << (i == i_len - 1 ? "" : ", "); os << "}"; return os; } template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair 入力 is >> pair_var.first >> pair_var.second; return is; } template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &pair_var) { // pair 出力 os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } // map, um, set, us 出力 template <class T> ostream &out_iter(ostream &os, const T &map_var) { os << "{"; REPI(itr, map_var) { os << *itr; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } return os << "}"; } template <typename T, typename U> ostream &operator<<(ostream &os, const map<T, U> &map_var) { return out_iter(os, map_var); } template <typename T, typename U> ostream &operator<<(ostream &os, const um<T, U> &map_var) { os << "{"; REPI(itr, map_var) { auto [key, value] = *itr; os << "(" << key << ", " << value << ")"; auto itrcp = itr; if (++itrcp != map_var.end()) os << ", "; } os << "}"; return os; } template <typename T> ostream &operator<<(ostream &os, const set<T> &set_var) { return out_iter(os, set_var); } template <typename T> ostream &operator<<(ostream &os, const us<T> &set_var) { return out_iter(os, set_var); } template <typename T> ostream &operator<<(ostream &os, const pq<T> &pq_var) { pq<T> pq_cp(pq_var); os << "{"; if (!pq_cp.empty()) { os << pq_cp.top(), pq_cp.pop(); while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop(); } return os << "}"; } // tuple 出力 template <size_t N = 0, bool end_line = false, typename... Args> ostream &operator<<(ostream &os, tuple<Args...> &a) { if constexpr (N < std::tuple_size_v<tuple<Args...>>) { os << get<N>(a); if constexpr (N + 1 < std::tuple_size_v<tuple<Args...>>) { os << ' '; } else if constexpr (end_line) { os << '\n'; } return operator<< <N + 1, end_line>(os, a); } return os; } template <typename... Args> void print_tuple(tuple<Args...> &a) { operator<< <0, true>(cout, a); } void pprint() { cout << endl; } template <class Head, class... Tail> void pprint(Head &&head, Tail &&...tail) { cout << head; if (sizeof...(Tail) > 0) cout << ' '; pprint(move(tail)...); } // dump #define DUMPOUT cerr void dump_func() { DUMPOUT << endl; } template <class Head, class... Tail> void dump_func(Head &&head, Tail &&...tail) { DUMPOUT << head; if (sizeof...(Tail) > 0) DUMPOUT << ", "; dump_func(move(tail)...); } // chmax (更新「される」かもしれない値が前) template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } // chmin (更新「される」かもしれない値が前) template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } // ローカル用 #ifndef ONLINE_JUDGE #define DEBUG_ #endif #ifndef MYLOCAL #undef DEBUG_ #endif #ifdef DEBUG_ #define DEB #define dump(...) \ DUMPOUT << " " << string(#__VA_ARGS__) << ": " \ << "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \ << " ", \ dump_func(__VA_ARGS__) #else #define DEB if (false) #define dump(...) #endif #define VAR(type, ...) \ type __VA_ARGS__; \ assert((cin >> __VA_ARGS__)); template <typename T> istream &operator,(istream &is, T &rhs) { return is >> rhs; } template <typename T> ostream &operator,(ostream &os, const T &rhs) { return os << ' ' << rhs; } struct AtCoderInitialize { static constexpr int IOS_PREC = 15; static constexpr bool AUTOFLUSH = false; AtCoderInitialize() { ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr); cout << fixed << setprecision(IOS_PREC); if (AUTOFLUSH) cout << unitbuf; } } ATCODER_INITIALIZE; void Yn(bool p) { cout << (p ? "Yes" : "No") << endl; } void YN(bool p) { cout << (p ? "YES" : "NO") << endl; } template <typename T> constexpr void operator--(vc<T> &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]--; } template <typename T> constexpr void operator++(vc<T> &v, int) noexcept { for (int i = 0; i < ISIZE(v); ++i) v[i]++; } /* #endregion */ // #include <atcoder/all> // using namespace atcoder; /* #region Graph */ // エッジ(本来エッジは双方向だが,ここでは単方向で管理) template <class weight_t = int, class flow_t = int> struct Edge { int src; // エッジ始点となる頂点 int dst; // エッジ終点となる頂点 weight_t weight; // 重み flow_t cap; Edge() : src(0), dst(0), weight(0) {} Edge(int src, int dst, weight_t weight) : src(src), dst(dst), weight(weight) {} Edge(int src, int dst, weight_t weight, flow_t cap) : src(src), dst(dst), weight(weight), cap(cap) {} // Edge 標準出力 friend ostream &operator<<(ostream &os, Edge &edge) { os << "(" << edge.src << " -> " << edge.dst << ", " << edge.weight << ")"; return os; } }; // 同じ頂点を始点とするエッジ集合 template <class weight_t = int, class flow_t = int> class Node : public vc<Edge<weight_t, flow_t>> { public: int idx; Node() : vc<Edge<weight_t, flow_t>>() {} // void add(int a, int b, weight_t w, flow_t cap) { this->emplace_back(a, b, w, cap); }; }; // graph[i] := 頂点 i を始点とするエッジ集合 template <class weight_t = int, class flow_t = int> class Graph : public vc<Node<weight_t, flow_t>> { public: Graph() : vc<Node<weight_t, flow_t>>() {} Graph(int n) : vc<Node<weight_t, flow_t>>(n) { REP(i, 0, n)(*this)[i].idx = i; } /** 単方向 */ void add_arc(int a, int b, weight_t w = 1, flow_t cap = 1) { (*this)[a].emplace_back(a, b, w, cap); } /** 双方向 */ void add_edge(int a, int b, weight_t w = 1, flow_t cap = 1) { add_arc(a, b, w, cap), add_arc(b, a, w, cap); } /** ノード追加 */ int add_node() { int idx = (int)this->size(); this->emplace_back(); Node<weight_t, flow_t> &node = this->back(); node.idx = idx; return idx; } }; // using Array = vc<Weight>; // using Matrix = vc<Array>; /* #endregion */ /* #region Dijkstra */ // ダイクストラ法 // グラフを陽に持つ template <class Weight = ll> struct Dijkstra { // pair 比較よりも struct 比較のほうが速い struct state { Weight cost; int dst; state(Weight cost, int dst) : cost(cost), dst(dst) {} bool operator<(const state &o) const { return cost > o.cost; } // bool operator>(const state &o) const { return cost > o.cost; } }; Graph<Weight> graph; vc<Weight> dist; vc<int> bs; // 経路復元用情報 Weight inf; /** コンストラクタ */ Dijkstra(const int n, const Weight inf = INF) : graph(n), dist(n, inf), bs(n, -1), inf(inf) {} /** コンストラクタ,グラフを使って初期化するバージョン */ Dijkstra(const Graph<Weight> &graph, const Weight inf = INF) : graph(graph), dist(graph.size(), inf), bs(graph.size(), -1), inf(inf) {} // 有向辺の追加 void add_edge(const int src, const int dst, const Weight cost) { graph.add_arc(src, dst, cost); } void build(const int start, const Weight init = 0) { priority_queue<state> que; // 昇順に並べ替え,小さい順に取り出す fill(ALL(dist), inf); fill(ALL(bs), -1); dist[start] = init; que.emplace(init, start); while (que.size()) { const state cur = que.top(); // tie(d, v) = que.top(); que.pop(); const int cur_node = cur.dst; const Weight cur_cost = cur.cost; if (dist[cur_node] < cur_cost) continue; for (const Edge<Weight> &edge : graph[cur_node]) if (chmin(dist[edge.dst], dist[cur_node] + edge.weight)) { que.emplace(dist[edge.dst], edge.dst); bs[edge.dst] = cur_node; } } } // あるノードまでの距離を返す Weight operator[](const int dst) const { return dist[dst]; } // 経路復元 // dst がスタート地点の場合は空ベクトルが返るため注意 vc<int> restore(int dst) const { vc<int> res; if (bs[dst] < 0) return res; while (~dst) res.emplace_back(dst), dst = bs[dst]; reverse(ALL(res)); return res; } }; /* #endregion */ /* #region CoordCompress1D */ // 1次元座圧 template <typename T = ll> class CoordCompress1D { map<T, ll> coord2zipped; // キーが座標値 vc<T> zipped2coord; // 各要素が座標値 ll sz; T MAX, MIN; public: CoordCompress1D() {} CoordCompress1D(vc<T> coords, const T &MAX = INF, const T &MIN = -INF) : MAX(MAX), MIN(MIN) { sort(ALL(coords)); UNIQ(coords); sz = SIZE(coords); zipped2coord = coords; REP(i, 0, sz) coord2zipped[coords[i]] = i; } // 座標の圧縮(コンストラクタに与えた座標限定) ll zip(const T &coord) const { return coord2zipped.at(coord); } T unzip(const ll &zipped) const { return zipped2coord.at(zipped); } // coord 以上の最小の座標値を返す. // 戻り値は圧縮前なので注意.入力も圧縮前. T coord_geq(const T &coord) const { auto it = lower_bound(ALL(zipped2coord), coord); if (it != zipped2coord.end()) return *it; return MAX; } // coord より大きいの最小の座標値を返す. // 戻り値は圧縮前なので注意.入力も圧縮前. T coord_gt(const T &coord) const { auto it = upper_bound(ALL(zipped2coord), coord); if (it != zipped2coord.end()) return *it; return MAX; } // coord 以下の最小の座標値を返す. // 戻り値は圧縮前なので注意.入力も圧縮前. T coord_leq(const T &coord) const { auto rit = lower_bound(zipped2coord.rbegin(), zipped2coord.rend(), coord, [](ll const lhs, ll const rhs) { return lhs > rhs; }); if (rit != zipped2coord.rend()) return *rit; return MIN; } // coord 未満の最小の座標値を返す. // 戻り値は圧縮前なので注意.入力も圧縮前. T coord_lt(const T &coord) const { auto rit = upper_bound(zipped2coord.rbegin(), zipped2coord.rend(), coord, [](ll const lhs, ll const rhs) { return lhs > rhs; }); if (rit != zipped2coord.rend()) return *rit; return MIN; } ll size() const { return sz; } }; /* #endregion */ // Problem void solve() { VAR(ll, n, m); vll a(m), b(m); REP(i, 0, m) cin >> a[i], b[i]; a--, b--; vll towns; towns.push_back(0); towns.push_back(n - 1); REP(i, 0, m) { towns.push_back(a[i]); towns.push_back(b[i]); } sort(ALL(towns)); UNIQ(towns); CoordCompress1D<> cc(towns); ll sz = cc.size(); Dijkstra<ll> dijkstra(sz, INF); REP(i, 0, sz - 1) { ll cost = 2LL * (towns[i + 1] - towns[i]); dijkstra.add_edge(i, i + 1, cost); dijkstra.add_edge(i + 1, i, cost); } REP(i, 0, m) { ll from = cc.zip(a[i]); ll to = cc.zip(b[i]); ll cost = 2LL * b[i] - 2LL * a[i] - 1; dijkstra.add_edge(from, to, cost); dijkstra.add_edge(to, from, cost); } dijkstra.build(0); pprint(dijkstra[sz - 1]); } // entry point int main() { solve(); return 0; }