結果
問題 | No.2346 Replace!! |
ユーザー | hitonanode |
提出日時 | 2023-06-09 22:15:53 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 20,927 bytes |
コンパイル時間 | 2,990 ms |
コンパイル使用メモリ | 210,560 KB |
実行使用メモリ | 6,948 KB |
最終ジャッジ日時 | 2024-06-10 13:29:07 |
合計ジャッジ時間 | 9,131 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
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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 | 7 ms
6,940 KB |
testcase_02 | WA | - |
testcase_03 | WA | - |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | AC | 5 ms
6,944 KB |
testcase_08 | AC | 5 ms
6,944 KB |
testcase_09 | WA | - |
testcase_10 | AC | 5 ms
6,940 KB |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | AC | 4 ms
6,948 KB |
testcase_14 | AC | 4 ms
6,940 KB |
testcase_15 | AC | 4 ms
6,940 KB |
testcase_16 | AC | 4 ms
6,940 KB |
testcase_17 | AC | 4 ms
6,944 KB |
testcase_18 | WA | - |
testcase_19 | AC | 4 ms
6,940 KB |
testcase_20 | WA | - |
testcase_21 | WA | - |
testcase_22 | WA | - |
testcase_23 | AC | 4 ms
6,940 KB |
testcase_24 | WA | - |
testcase_25 | WA | - |
testcase_26 | AC | 4 ms
6,940 KB |
testcase_27 | WA | - |
testcase_28 | AC | 1 ms
6,944 KB |
testcase_29 | AC | 3 ms
6,944 KB |
testcase_30 | AC | 3 ms
6,944 KB |
testcase_31 | AC | 35 ms
6,940 KB |
testcase_32 | AC | 27 ms
6,944 KB |
testcase_33 | AC | 26 ms
6,940 KB |
testcase_34 | AC | 30 ms
6,944 KB |
testcase_35 | AC | 29 ms
6,940 KB |
testcase_36 | AC | 26 ms
6,944 KB |
testcase_37 | AC | 27 ms
6,940 KB |
testcase_38 | AC | 31 ms
6,940 KB |
testcase_39 | AC | 29 ms
6,940 KB |
testcase_40 | AC | 27 ms
6,944 KB |
testcase_41 | AC | 26 ms
6,940 KB |
testcase_42 | AC | 4 ms
6,944 KB |
testcase_43 | AC | 30 ms
6,944 KB |
testcase_44 | AC | 35 ms
6,940 KB |
testcase_45 | AC | 4 ms
6,940 KB |
testcase_46 | AC | 4 ms
6,944 KB |
testcase_47 | AC | 3 ms
6,944 KB |
testcase_48 | AC | 3 ms
6,944 KB |
testcase_49 | AC | 3 ms
6,940 KB |
testcase_50 | AC | 3 ms
6,940 KB |
testcase_51 | AC | 3 ms
6,940 KB |
testcase_52 | AC | 2 ms
6,940 KB |
testcase_53 | AC | 2 ms
6,944 KB |
testcase_54 | AC | 301 ms
6,944 KB |
testcase_55 | AC | 294 ms
6,940 KB |
testcase_56 | AC | 303 ms
6,940 KB |
testcase_57 | AC | 305 ms
6,940 KB |
testcase_58 | AC | 297 ms
6,940 KB |
testcase_59 | AC | 294 ms
6,940 KB |
testcase_60 | AC | 305 ms
6,948 KB |
testcase_61 | AC | 303 ms
6,944 KB |
testcase_62 | AC | 295 ms
6,944 KB |
testcase_63 | AC | 315 ms
6,944 KB |
testcase_64 | AC | 313 ms
6,940 KB |
testcase_65 | AC | 306 ms
6,940 KB |
testcase_66 | AC | 3 ms
6,940 KB |
testcase_67 | AC | 294 ms
6,940 KB |
testcase_68 | AC | 305 ms
6,940 KB |
testcase_69 | AC | 4 ms
6,940 KB |
testcase_70 | AC | 3 ms
6,940 KB |
testcase_71 | AC | 3 ms
6,940 KB |
testcase_72 | AC | 3 ms
6,940 KB |
testcase_73 | AC | 3 ms
6,940 KB |
ソースコード
#include <algorithm> #include <array> #include <bitset> #include <cassert> #include <chrono> #include <cmath> #include <complex> #include <deque> #include <forward_list> #include <fstream> #include <functional> #include <iomanip> #include <ios> #include <iostream> #include <limits> #include <list> #include <map> #include <numeric> #include <queue> #include <random> #include <set> #include <sstream> #include <stack> #include <string> #include <tuple> #include <type_traits> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> using namespace std; using lint = long long; using pint = pair<int, int>; using plint = pair<lint, lint>; struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_; #define ALL(x) (x).begin(), (x).end() #define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++) #define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--) #define REP(i, n) FOR(i,0,n) #define IREP(i, n) IFOR(i,0,n) template <typename T, typename V> void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); } template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); } template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; } template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; } const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); } template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); } template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); } template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); } template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; } template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); } template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); } template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; } template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec); template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr); template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec); template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa); template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec); template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec); template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec); template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec); template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa); template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp); template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp); template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl); template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; } template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; } template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; } template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; } template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; } template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; } template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; } template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; } #ifdef HITONANODE_LOCAL const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m"; #define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl #define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr) #else #define dbg(x) ((void)0) #define dbgif(cond, x) ((void)0) #endif #include <algorithm> #include <cassert> #include <deque> #include <fstream> #include <functional> #include <limits> #include <queue> #include <string> #include <tuple> #include <utility> #include <vector> template <typename T, T INF = std::numeric_limits<T>::max() / 2, int INVALID = -1> struct shortest_path { int V, E; bool single_positive_weight; T wmin, wmax; std::vector<std::pair<int, T>> tos; std::vector<int> head; std::vector<std::tuple<int, int, T>> edges; void build_() { if (int(tos.size()) == E and int(head.size()) == V + 1) return; tos.resize(E); head.assign(V + 1, 0); for (const auto &e : edges) ++head[std::get<0>(e) + 1]; for (int i = 0; i < V; ++i) head[i + 1] += head[i]; auto cur = head; for (const auto &e : edges) { tos[cur[std::get<0>(e)]++] = std::make_pair(std::get<1>(e), std::get<2>(e)); } } shortest_path(int V = 0) : V(V), E(0), single_positive_weight(true), wmin(0), wmax(0) {} void add_edge(int s, int t, T w) { assert(0 <= s and s < V); assert(0 <= t and t < V); edges.emplace_back(s, t, w); ++E; if (w > 0 and wmax > 0 and wmax != w) single_positive_weight = false; wmin = std::min(wmin, w); wmax = std::max(wmax, w); } void add_bi_edge(int u, int v, T w) { add_edge(u, v, w); add_edge(v, u, w); } std::vector<T> dist; std::vector<int> prev; // Dijkstra algorithm // - Requirement: wmin >= 0 // - Complexity: O(E log E) using Pque = std::priority_queue<std::pair<T, int>, std::vector<std::pair<T, int>>, std::greater<std::pair<T, int>>>; template <class Heap = Pque> void dijkstra(int s, int t = INVALID) { assert(0 <= s and s < V); build_(); dist.assign(V, INF); prev.assign(V, INVALID); dist[s] = 0; Heap pq; pq.emplace(0, s); while (!pq.empty()) { T d; int v; std::tie(d, v) = pq.top(); pq.pop(); if (t == v) return; if (dist[v] < d) continue; for (int e = head[v]; e < head[v + 1]; ++e) { const auto &nx = tos[e]; T dnx = d + nx.second; if (dist[nx.first] > dnx) { dist[nx.first] = dnx, prev[nx.first] = v; pq.emplace(dnx, nx.first); } } } } // Dijkstra algorithm // - Requirement: wmin >= 0 // - Complexity: O(V^2 + E) void dijkstra_vquad(int s, int t = INVALID) { assert(0 <= s and s < V); build_(); dist.assign(V, INF); prev.assign(V, INVALID); dist[s] = 0; std::vector<char> fixed(V, false); while (true) { int r = INVALID; T dr = INF; for (int i = 0; i < V; i++) { if (!fixed[i] and dist[i] < dr) r = i, dr = dist[i]; } if (r == INVALID or r == t) break; fixed[r] = true; int nxt; T dx; for (int e = head[r]; e < head[r + 1]; ++e) { std::tie(nxt, dx) = tos[e]; if (dist[nxt] > dist[r] + dx) dist[nxt] = dist[r] + dx, prev[nxt] = r; } } } // Bellman-Ford algorithm // - Requirement: no negative loop // - Complexity: O(VE) bool bellman_ford(int s, int nb_loop) { assert(0 <= s and s < V); build_(); dist.assign(V, INF), prev.assign(V, INVALID); dist[s] = 0; for (int l = 0; l < nb_loop; l++) { bool upd = false; for (int v = 0; v < V; v++) { if (dist[v] == INF) continue; for (int e = head[v]; e < head[v + 1]; ++e) { const auto &nx = tos[e]; T dnx = dist[v] + nx.second; if (dist[nx.first] > dnx) dist[nx.first] = dnx, prev[nx.first] = v, upd = true; } } if (!upd) return true; } return false; } // Bellman-ford algorithm using deque // - Requirement: no negative loop // - Complexity: O(VE) void spfa(int s) { assert(0 <= s and s < V); build_(); dist.assign(V, INF); prev.assign(V, INVALID); dist[s] = 0; std::deque<int> q; std::vector<char> in_queue(V); q.push_back(s), in_queue[s] = 1; while (!q.empty()) { int now = q.front(); q.pop_front(), in_queue[now] = 0; for (int e = head[now]; e < head[now + 1]; ++e) { const auto &nx = tos[e]; T dnx = dist[now] + nx.second; int nxt = nx.first; if (dist[nxt] > dnx) { dist[nxt] = dnx; if (!in_queue[nxt]) { if (q.size() and dnx < dist[q.front()]) { // Small label first optimization q.push_front(nxt); } else { q.push_back(nxt); } prev[nxt] = now, in_queue[nxt] = 1; } } } } } // 01-BFS // - Requirement: all weights must be 0 or w (positive constant). // - Complexity: O(V + E) void zero_one_bfs(int s, int t = INVALID) { assert(0 <= s and s < V); build_(); dist.assign(V, INF), prev.assign(V, INVALID); dist[s] = 0; std::vector<int> q(V * 4); int ql = V * 2, qr = V * 2; q[qr++] = s; while (ql < qr) { int v = q[ql++]; if (v == t) return; for (int e = head[v]; e < head[v + 1]; ++e) { const auto &nx = tos[e]; T dnx = dist[v] + nx.second; if (dist[nx.first] > dnx) { dist[nx.first] = dnx, prev[nx.first] = v; if (nx.second) { q[qr++] = nx.first; } else { q[--ql] = nx.first; } } } } } // Dial's algorithm // - Requirement: wmin >= 0 // - Complexity: O(wmax * V + E) void dial(int s, int t = INVALID) { assert(0 <= s and s < V); build_(); dist.assign(V, INF), prev.assign(V, INVALID); dist[s] = 0; std::vector<std::vector<std::pair<int, T>>> q(wmax + 1); q[0].emplace_back(s, dist[s]); int ninq = 1; int cur = 0; T dcur = 0; for (; ninq; ++cur, ++dcur) { if (cur == wmax + 1) cur = 0; while (!q[cur].empty()) { int v = q[cur].back().first; T dnow = q[cur].back().second; q[cur].pop_back(), --ninq; if (v == t) return; if (dist[v] < dnow) continue; for (int e = head[v]; e < head[v + 1]; ++e) { const auto &nx = tos[e]; T dnx = dist[v] + nx.second; if (dist[nx.first] > dnx) { dist[nx.first] = dnx, prev[nx.first] = v; int nxtcur = cur + int(nx.second); if (nxtcur >= int(q.size())) nxtcur -= q.size(); q[nxtcur].emplace_back(nx.first, dnx), ++ninq; } } } } } // Solver for DAG // - Requirement: graph is DAG // - Complexity: O(V + E) bool dag_solver(int s) { assert(0 <= s and s < V); build_(); dist.assign(V, INF), prev.assign(V, INVALID); dist[s] = 0; std::vector<int> indeg(V, 0); std::vector<int> q(V * 2); int ql = 0, qr = 0; q[qr++] = s; while (ql < qr) { int now = q[ql++]; for (int e = head[now]; e < head[now + 1]; ++e) { const auto &nx = tos[e]; ++indeg[nx.first]; if (indeg[nx.first] == 1) q[qr++] = nx.first; } } ql = qr = 0; q[qr++] = s; while (ql < qr) { int now = q[ql++]; for (int e = head[now]; e < head[now + 1]; ++e) { const auto &nx = tos[e]; --indeg[nx.first]; if (dist[nx.first] > dist[now] + nx.second) dist[nx.first] = dist[now] + nx.second, prev[nx.first] = now; if (indeg[nx.first] == 0) q[qr++] = nx.first; } } return *max_element(indeg.begin(), indeg.end()) == 0; } // Retrieve a sequence of vertex ids that represents shortest path [s, ..., goal] // If not reachable to goal, return {} std::vector<int> retrieve_path(int goal) const { assert(int(prev.size()) == V); assert(0 <= goal and goal < V); if (dist[goal] == INF) return {}; std::vector<int> ret{goal}; while (prev[goal] != INVALID) { goal = prev[goal]; ret.push_back(goal); } std::reverse(ret.begin(), ret.end()); return ret; } void solve(int s, int t = INVALID) { if (wmin >= 0) { if (single_positive_weight) { zero_one_bfs(s, t); } else if (wmax <= 10) { dial(s, t); } else { if ((long long)V * V < (E << 4)) { dijkstra_vquad(s, t); } else { dijkstra(s, t); } } } else { bellman_ford(s, V); } } // Warshall-Floyd algorithm // - Requirement: no negative loop // - Complexity: O(E + V^3) std::vector<std::vector<T>> floyd_warshall() { build_(); std::vector<std::vector<T>> dist2d(V, std::vector<T>(V, INF)); for (int i = 0; i < V; i++) { dist2d[i][i] = 0; for (const auto &e : edges) { int s = std::get<0>(e), t = std::get<1>(e); dist2d[s][t] = std::min(dist2d[s][t], std::get<2>(e)); } } for (int k = 0; k < V; k++) { for (int i = 0; i < V; i++) { if (dist2d[i][k] == INF) continue; for (int j = 0; j < V; j++) { if (dist2d[k][j] == INF) continue; dist2d[i][j] = std::min(dist2d[i][j], dist2d[i][k] + dist2d[k][j]); } } } return dist2d; } void to_dot(std::string filename = "shortest_path") const { std::ofstream ss(filename + ".DOT"); ss << "digraph{\n"; build_(); for (int i = 0; i < V; i++) { for (int e = head[i]; e < head[i + 1]; ++e) { ss << i << "->" << tos[e].first << "[label=" << tos[e].second << "];\n"; } } ss << "}\n"; ss.close(); return; } }; // UnionFind Tree (0-indexed), based on size of each disjoint set struct UnionFind { std::vector<int> par, cou; UnionFind(int N = 0) : par(N), cou(N, 1) { iota(par.begin(), par.end(), 0); } int find(int x) { return (par[x] == x) ? x : (par[x] = find(par[x])); } bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return false; if (cou[x] < cou[y]) std::swap(x, y); par[y] = x, cou[x] += cou[y]; return true; } int count(int x) { return cou[find(x)]; } bool same(int x, int y) { return find(x) == find(y); } std::vector<std::vector<int>> groups() { std::vector<std::vector<int>> ret(par.size()); for (int i = 0; i < int(par.size()); ++i) ret[find(i)].push_back(i); ret.erase(std::remove_if(ret.begin(), ret.end(), [&](const std::vector<int> &v) { return v.empty(); }), ret.end()); return ret; } }; vector<vector<int>> gen_loops(vector<int> A) { const int N = A.size(); shortest_path<int> sp(N); UnionFind uftree(N); vector<pint> loops; REP(i, N) { if (uftree.unite(i, A.at(i))) { sp.add_bi_edge(i, A.at(i), 1); } else { loops.emplace_back(i, A.at(i)); } } vector<vector<int>> ret; for (auto [a, b] : loops) { sp.solve(a, b); ret.emplace_back(sp.retrieve_path(b)); } return ret; } bool solve() { int N; cin >> N; vector<int> A(N), B(N); cin >> A >> B; REP(i, N) A[i]--, B[i]--; dbg(make_tuple(A, B)); auto loopa = gen_loops(A); dbg(loopa); vector<int> lid(N, -1); REP(l, loopa.size()) { for (int i : loopa.at(l)) lid.at(i) = l; } vector<int> lucnt(loopa.size()); for (const auto &loop : gen_loops(B)) { const int l = lid.at(loop.front()); if (l < 0) return false; if (!chmax(lucnt.at(l), 1)) return false; bool match = false; REP(_, 2) { if (match) break; const int h = find(ALL(loopa.at(l)), loop.front()) - loopa.at(l).begin(); int m = 0; REP(_, loopa.at(l).size()) { if (loopa.at(l).at((h + _) % loopa.at(l).size()) == loop.at(m)) ++m; if (m == int(loop.size())) { match = true; break; } } reverse(ALL(loopa.at(l))); } if (!match) return false; } REP(l, lucnt.size()) if (lucnt.at(l) == 0) return false; shortest_path<int> spa(N), spb(N); REP(i, N) { spa.add_edge(i, A.at(i), 1); spb.add_edge(i, B.at(i), 1); } REP(i, N) { spa.solve(i); if (spa.dist.at(B.at(i)) > N) return false; } return true; } int main() { int T; cin >> T; while (T--) cout << (solve() ? "Yes" : "No") << '\n'; }