結果
問題 | No.2786 RMQ on Grid Path |
ユーザー | 👑 Nachia |
提出日時 | 2024-06-14 23:55:23 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 254 ms / 6,000 ms |
コード長 | 22,243 bytes |
コンパイル時間 | 1,880 ms |
コンパイル使用メモリ | 94,752 KB |
実行使用メモリ | 39,464 KB |
最終ジャッジ日時 | 2024-06-14 23:55:35 |
合計ジャッジ時間 | 9,567 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge2 |
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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 | 2 ms
5,376 KB |
testcase_02 | AC | 2 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 | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 2 ms
5,376 KB |
testcase_09 | AC | 2 ms
5,376 KB |
testcase_10 | AC | 2 ms
5,376 KB |
testcase_11 | AC | 2 ms
5,376 KB |
testcase_12 | AC | 216 ms
39,336 KB |
testcase_13 | AC | 218 ms
39,404 KB |
testcase_14 | AC | 251 ms
39,340 KB |
testcase_15 | AC | 222 ms
39,340 KB |
testcase_16 | AC | 228 ms
39,464 KB |
testcase_17 | AC | 235 ms
39,332 KB |
testcase_18 | AC | 254 ms
39,336 KB |
testcase_19 | AC | 221 ms
39,464 KB |
testcase_20 | AC | 221 ms
39,336 KB |
testcase_21 | AC | 223 ms
39,336 KB |
testcase_22 | AC | 177 ms
39,332 KB |
testcase_23 | AC | 208 ms
39,404 KB |
testcase_24 | AC | 181 ms
39,464 KB |
testcase_25 | AC | 176 ms
39,408 KB |
testcase_26 | AC | 174 ms
39,440 KB |
testcase_27 | AC | 48 ms
9,936 KB |
testcase_28 | AC | 32 ms
5,376 KB |
testcase_29 | AC | 219 ms
37,776 KB |
testcase_30 | AC | 34 ms
5,740 KB |
testcase_31 | AC | 9 ms
5,376 KB |
testcase_32 | AC | 186 ms
39,340 KB |
testcase_33 | AC | 18 ms
5,376 KB |
testcase_34 | AC | 152 ms
39,332 KB |
testcase_35 | AC | 153 ms
39,408 KB |
testcase_36 | AC | 152 ms
39,336 KB |
ソースコード
#include <vector> #include <cassert> #include <algorithm> namespace nachia{ template<class Iterator> void EnsurePermutation(Iterator first, Iterator last){ int n = std::distance(first, last); std::vector<int> vis(n, 0); for(Iterator i=first; i!=last; i++){ assert(0 <= *i); assert(*i < n); assert(vis[*i] == 0); vis[*i] = 1; } } template<class T> std::vector<T> Permute( const std::vector<T>& src, const std::vector<int>& perm ){ const bool DEBUG = true; int n = src.size(); if constexpr (DEBUG){ assert(perm.size() == src.size()); EnsurePermutation(perm.begin(), perm.end()); } std::vector<T> res; res.reserve(n); for(int i=0; i<n; i++) res.push_back(src[perm[i]]); return res; } template<class T> std::vector<T>& PermuteInPlace( std::vector<T>& src, std::vector<int> perm ){ const bool DEBUG = true; int n = src.size(); if constexpr (DEBUG){ assert(perm.size() == src.size()); EnsurePermutation(perm.begin(), perm.end()); } for(int s=0; s<n; s++){ int p = s; while(perm[p] != s){ std::swap(src[p], src[perm[p]]); std::swap(p, perm[p]); } perm[p] = p; } return src; } // stable sort std::vector<int> BucketSortPermutation( std::vector<int>::const_iterator first, std::vector<int>::const_iterator last, int maxVal ){ const bool DEBUG = true; int n = last - first; if constexpr (DEBUG){ for(auto itr = first; itr != last; itr++){ assert(0 <= *itr); assert(*itr <= maxVal); } } std::vector<int> cnt(maxVal+2); std::vector<int> res(n); for(int i=0; i<n; i++) cnt[first[i]+1]++; for(int i=0; i<maxVal; i++) cnt[i+1] += cnt[i]; for(int i=0; i<n; i++) res[cnt[first[i]]++] = i; return res; } // stable sort template<class T, class Mapping> std::vector<int> BucketSortPermutation( typename std::vector<T>::const_iterator first, typename std::vector<T>::const_iterator last, const Mapping& f, int maxVal ){ std::vector<int> buf(last - first); auto bufitr = buf.begin(); for(auto itr = first; itr != last; itr++, bufitr++) *bufitr = f(*itr); return BucketSortPermutation(buf.begin(), buf.end(), maxVal); } // stable sort template<class T, class Mapping> std::vector<T> BucketSort( std::vector<T> src, const Mapping& f, int maxVal ){ return PermuteInPlace(src, BucketSortPermutation<T>(src.begin(), src.end(), f, maxVal)); } // stable sort template<class Iter, class Mapping> std::vector<int> BucketSortPermutation( Iter first, Iter last, const Mapping& f, int maxVal ){ std::vector<int> buf(std::distance(first, last)); auto bufitr = buf.begin(); for(auto itr = first; itr != last; itr++, bufitr++) *bufitr = f(*itr); return BucketSortPermutation(buf.begin(), buf.end(), maxVal); } template<class Iter> void PermuteInPlace( Iter srcFirst, Iter srcLast, std::vector<int> perm ){ const bool DEBUG = true; int n = std::distance(srcFirst, srcLast); if constexpr (DEBUG){ assert(perm.size() == (size_t)n); EnsurePermutation(perm.begin(), perm.end()); } for(int s=0; s<n; s++){ int p = s; while(perm[p] != s){ std::swap(srcFirst[p], srcFirst[perm[p]]); std::swap(p, perm[p]); } perm[p] = p; } } // stable sort template<class Iter, class Mapping> void BucketSort( Iter destFirst, Iter destLast, const Mapping& f, int maxVal ){ PermuteInPlace(destFirst, destLast, BucketSortPermutation(destFirst, destLast, f, maxVal)); } } #include <cstdio> #include <cctype> #include <cstdint> #include <string> namespace nachia{ struct CInStream{ private: static const unsigned int INPUT_BUF_SIZE = 1 << 17; unsigned int p = INPUT_BUF_SIZE; static char Q[INPUT_BUF_SIZE]; public: using MyType = CInStream; char seekChar(){ if(p == INPUT_BUF_SIZE){ size_t len = fread(Q, 1, INPUT_BUF_SIZE, stdin); if(len != INPUT_BUF_SIZE) Q[len] = '\0'; p = 0; } return Q[p]; } void skipSpace(){ while(isspace(seekChar())) p++; } private: template<class T, int sp = 1> T nextUInt(){ if constexpr (sp) skipSpace(); T buf = 0; while(true){ char tmp = seekChar(); if('9' < tmp || tmp < '0') break; buf = buf * 10 + (tmp - '0'); p++; } return buf; } public: uint32_t nextU32(){ return nextUInt<uint32_t>(); } int32_t nextI32(){ skipSpace(); if(seekChar() == '-'){ p++; return (int32_t)(-nextUInt<uint32_t, 0>()); } return (int32_t)nextUInt<uint32_t, 0>(); } uint64_t nextU64(){ return nextUInt<uint64_t>();} int64_t nextI64(){ skipSpace(); if(seekChar() == '-'){ p++; return (int64_t)(-nextUInt<int64_t, 0>()); } return (int64_t)nextUInt<int64_t, 0>(); } template<class T> T nextInt(){ skipSpace(); if(seekChar() == '-'){ p++; return - nextUInt<T, 0>(); } return nextUInt<T, 0>(); } char nextChar(){ skipSpace(); char buf = seekChar(); p++; return buf; } std::string nextToken(){ skipSpace(); std::string buf; while(true){ char ch = seekChar(); if(isspace(ch) || ch == '\0') break; buf.push_back(ch); p++; } return buf; } MyType& operator>>(unsigned int& dest){ dest = nextU32(); return *this; } MyType& operator>>(int& dest){ dest = nextI32(); return *this; } MyType& operator>>(unsigned long& dest){ dest = nextU64(); return *this; } MyType& operator>>(long& dest){ dest = nextI64(); return *this; } MyType& operator>>(unsigned long long& dest){ dest = nextU64(); return *this; } MyType& operator>>(long long& dest){ dest = nextI64(); return *this; } MyType& operator>>(std::string& dest){ dest = nextToken(); return *this; } MyType& operator>>(char& dest){ dest = nextChar(); return *this; } } cin; struct FastOutputTable{ char LZ[1000][4] = {}; char NLZ[1000][4] = {}; constexpr FastOutputTable(){ using u32 = uint_fast32_t; for(u32 d=0; d<1000; d++){ LZ[d][0] = ('0' + d / 100 % 10); LZ[d][1] = ('0' + d / 10 % 10); LZ[d][2] = ('0' + d / 1 % 10); LZ[d][3] = '\0'; } for(u32 d=0; d<1000; d++){ u32 i = 0; if(d >= 100) NLZ[d][i++] = ('0' + d / 100 % 10); if(d >= 10) NLZ[d][i++] = ('0' + d / 10 % 10); if(d >= 1) NLZ[d][i++] = ('0' + d / 1 % 10); NLZ[d][i++] = '\0'; } } }; struct COutStream{ private: using u32 = uint32_t; using u64 = uint64_t; using MyType = COutStream; static const u32 OUTPUT_BUF_SIZE = 1 << 17; static char Q[OUTPUT_BUF_SIZE]; static constexpr FastOutputTable TB = FastOutputTable(); u32 p = 0; static constexpr u32 P10(u32 d){ return d ? P10(d-1)*10 : 1; } static constexpr u64 P10L(u32 d){ return d ? P10L(d-1)*10 : 1; } template<class T, class U> static void Fil(T& m, U& l, U x){ m = l/x; l -= m*x; } public: void next_dig9(u32 x){ u32 y; Fil(y, x, P10(6)); nextCstr(TB.LZ[y]); Fil(y, x, P10(3)); nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]); } void nextChar(char c){ Q[p++] = c; if(p == OUTPUT_BUF_SIZE){ fwrite(Q, p, 1, stdout); p = 0; } } void nextEoln(){ nextChar('\n'); } void nextCstr(const char* s){ while(*s) nextChar(*(s++)); } void nextU32(uint32_t x){ u32 y = 0; if(x >= P10(9)){ Fil(y, x, P10(9)); nextCstr(TB.NLZ[y]); next_dig9(x); } else if(x >= P10(6)){ Fil(y, x, P10(6)); nextCstr(TB.NLZ[y]); Fil(y, x, P10(3)); nextCstr(TB.LZ[y]); nextCstr(TB.LZ[x]); } else if(x >= P10(3)){ Fil(y, x, P10(3)); nextCstr(TB.NLZ[y]); nextCstr(TB.LZ[x]); } else if(x >= 1) nextCstr(TB.NLZ[x]); else nextChar('0'); } void nextI32(int32_t x){ if(x >= 0) nextU32(x); else{ nextChar('-'); nextU32((u32)-x); } } void nextU64(uint64_t x){ u32 y = 0; if(x >= P10L(18)){ Fil(y, x, P10L(18)); nextU32(y); Fil(y, x, P10L(9)); next_dig9(y); next_dig9(x); } else if(x >= P10L(9)){ Fil(y, x, P10L(9)); nextU32(y); next_dig9(x); } else nextU32(x); } void nextI64(int64_t x){ if(x >= 0) nextU64(x); else{ nextChar('-'); nextU64((u64)-x); } } template<class T> void nextInt(T x){ if(x < 0){ nextChar('-'); x = -x; } if(!(0 < x)){ nextChar('0'); return; } std::string buf; while(0 < x){ buf.push_back('0' + (int)(x % 10)); x /= 10; } for(int i=(int)buf.size()-1; i>=0; i--){ nextChar(buf[i]); } } void writeToFile(bool flush = false){ fwrite(Q, p, 1, stdout); if(flush) fflush(stdout); p = 0; } COutStream(){ Q[0] = 0; } ~COutStream(){ writeToFile(); } MyType& operator<<(unsigned int tg){ nextU32(tg); return *this; } MyType& operator<<(unsigned long tg){ nextU64(tg); return *this; } MyType& operator<<(unsigned long long tg){ nextU64(tg); return *this; } MyType& operator<<(int tg){ nextI32(tg); return *this; } MyType& operator<<(long tg){ nextI64(tg); return *this; } MyType& operator<<(long long tg){ nextI64(tg); return *this; } MyType& operator<<(const std::string& tg){ nextCstr(tg.c_str()); return *this; } MyType& operator<<(const char* tg){ nextCstr(tg); return *this; } MyType& operator<<(char tg){ nextChar(tg); return *this; } } cout; char CInStream::Q[INPUT_BUF_SIZE]; char COutStream::Q[OUTPUT_BUF_SIZE]; } // namespace nachia namespace nachia { struct Dsu{ private: int N; std::vector<int> P; std::vector<int> H; public: Dsu() : N(0) {} Dsu(int n) : N(n), P(n, -1), H(n) { for(int i=0; i<n; i++) H[i] = i; } int leader(int u){ if(P[u] < 0) return u; int v = P[u]; while(P[v] >= 0){ P[u] = P[v]; u = v; v = P[v]; } return P[u]; } int append(int label){ int n = P.size(); P.push_back(-1); H.push_back(label); return n; } int append(){ return append(int(P.size())); } int label(int u){ return H[leader(u)]; } int operator[](int u){ return H[leader(u)]; } void merge(int u, int v, int newLabel){ u = leader(u); v = leader(v); if(u == v){ H[u] = newLabel; return; } N--; if(-P[u] < -P[v]) std::swap(u, v); P[u] += P[v]; H[P[v] = u] = newLabel; } int merge(int u, int v){ merge(u, v, u); return u; } int count(){ return N; } int size(int u){ return -P[leader(u)]; } bool same(int u, int v){ return leader(u) == leader(v); } }; } // namespace nachia #include <utility> namespace nachia{ template<class Elem> class CsrArray{ public: struct ListRange{ using iterator = typename std::vector<Elem>::iterator; iterator begi, endi; iterator begin() const { return begi; } iterator end() const { return endi; } int size() const { return (int)std::distance(begi, endi); } Elem& operator[](int i) const { return begi[i]; } }; struct ConstListRange{ using iterator = typename std::vector<Elem>::const_iterator; iterator begi, endi; iterator begin() const { return begi; } iterator end() const { return endi; } int size() const { return (int)std::distance(begi, endi); } const Elem& operator[](int i) const { return begi[i]; } }; private: int m_n; std::vector<Elem> m_list; std::vector<int> m_pos; public: CsrArray() : m_n(0), m_list(), m_pos() {} static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){ CsrArray res; res.m_n = n; std::vector<int> buf(n+1, 0); for(auto& [u,v] : items){ ++buf[u]; } for(int i=1; i<=n; i++) buf[i] += buf[i-1]; res.m_list.resize(buf[n]); for(int i=(int)items.size()-1; i>=0; i--){ res.m_list[--buf[items[i].first]] = std::move(items[i].second); } res.m_pos = std::move(buf); return res; } static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){ CsrArray res; res.m_n = pos.size() - 1; res.m_list = std::move(list); res.m_pos = std::move(pos); return res; } ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; } ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; } int size() const { return m_n; } int fullSize() const { return (int)m_list.size(); } }; } // namespace nachia namespace nachia{ struct Graph { public: struct Edge{ int from, to; void reverse(){ std::swap(from, to); } int xorval() const { return from ^ to; } }; Graph(int n = 0, bool undirected = false, int m = 0) : m_n(n), m_e(m), m_isUndir(undirected) {} Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){ m_e.resize(edges.size()); for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second }; } template<class Cin> static Graph Input(Cin& cin, int n, bool undirected, int m, bool offset = 0){ Graph res(n, undirected, m); for(int i=0; i<m; i++){ int u, v; cin >> u >> v; res[i].from = u - offset; res[i].to = v - offset; } return res; } int numVertices() const noexcept { return m_n; } int numEdges() const noexcept { return int(m_e.size()); } int addNode() noexcept { return m_n++; } int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; } Edge& operator[](int ei) noexcept { return m_e[ei]; } const Edge& operator[](int ei) const noexcept { return m_e[ei]; } Edge& at(int ei) { return m_e.at(ei); } const Edge& at(int ei) const { return m_e.at(ei); } auto begin(){ return m_e.begin(); } auto end(){ return m_e.end(); } auto begin() const { return m_e.begin(); } auto end() const { return m_e.end(); } bool isUndirected() const noexcept { return m_isUndir; } void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); } void contract(int newV, const std::vector<int>& mapping){ assert(numVertices() == int(mapping.size())); for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV); for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; } m_n = newV; } std::vector<Graph> induce(int num, const std::vector<int>& mapping) const { int n = numVertices(); assert(n == int(mapping.size())); for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num); std::vector<int> indexV(n), newV(num); for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++; std::vector<Graph> res; res.reserve(num); for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected()); for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]); return res; } CsrArray<int> getEdgeIndexArray(bool undirected) const { std::vector<std::pair<int, int>> src; src.reserve(numEdges() * (undirected ? 2 : 1)); for(int i=0; i<numEdges(); i++){ auto e = operator[](i); src.emplace_back(e.from, i); if(undirected) src.emplace_back(e.to, i); } return CsrArray<int>::Construct(numVertices(), src); } CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); } CsrArray<int> getAdjacencyArray(bool undirected) const { std::vector<std::pair<int, int>> src; src.reserve(numEdges() * (undirected ? 2 : 1)); for(auto e : m_e){ src.emplace_back(e.from, e.to); if(undirected) src.emplace_back(e.to, e.from); } return CsrArray<int>::Construct(numVertices(), src); } CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); } private: int m_n; std::vector<Edge> m_e; bool m_isUndir; }; } // namespace nachia namespace nachia{ struct HeavyLightDecomposition{ private: int N; std::vector<int> P; std::vector<int> PP; std::vector<int> PD; std::vector<int> D; std::vector<int> I; std::vector<int> rangeL; std::vector<int> rangeR; public: HeavyLightDecomposition(const CsrArray<int>& E = CsrArray<int>::Construct(1, {}), int root = 0){ N = E.size(); P.assign(N, -1); I.assign(N, 0); I[0] = root; int iI = 1; for(int i=0; i<iI; i++){ int p = I[i]; for(int e : E[p]) if(P[p] != e){ I[iI++] = e; P[e] = p; } } std::vector<int> Z(N, 1); std::vector<int> nx(N, -1); PP.resize(N); for(int i=0; i<N; i++) PP[i] = i; for(int i=N-1; i>=1; i--){ int p = I[i]; Z[P[p]] += Z[p]; if(nx[P[p]] == -1) nx[P[p]] = p; if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p; } for(int p : I) if(nx[p] != -1) PP[nx[p]] = p; PD.assign(N,N); PD[root] = 0; D.assign(N,0); for(int p : I) if(p != root){ PP[p] = PP[PP[p]]; PD[p] = std::min(PD[PP[p]], PD[P[p]]+1); D[p] = D[P[p]]+1; } rangeL.assign(N,0); rangeR.assign(N,0); for(int p : I){ rangeR[p] = rangeL[p] + Z[p]; int ir = rangeR[p]; for(int e : E[p]) if(P[p] != e) if(e != nx[p]){ rangeL[e] = (ir -= Z[e]); } if(nx[p] != -1){ rangeL[nx[p]] = rangeL[p] + 1; } } for(int i=0; i<N; i++) I[rangeL[i]] = i; } HeavyLightDecomposition(const Graph& tree, int root = 0) : HeavyLightDecomposition(tree.getAdjacencyArray(true), root) {} int numVertices() const { return N; } int depth(int p) const { return D[p]; } int toSeq(int vtx) const { return rangeL[vtx]; } int toVtx(int seqidx) const { return I[seqidx]; } int toSeq2In(int vtx) const { return rangeL[vtx] * 2 - D[vtx]; } int toSeq2Out(int vtx) const { return rangeR[vtx] * 2 - D[vtx] - 1; } int parentOf(int v) const { return P[v]; } int heavyRootOf(int v) const { return PP[v]; } int heavyChildOf(int v) const { if(toSeq(v) == N-1) return -1; int cand = toVtx(toSeq(v) + 1); if(PP[v] == PP[cand]) return cand; return -1; } int lca(int u, int v) const { if(PD[u] < PD[v]) std::swap(u, v); while(PD[u] > PD[v]) u = P[PP[u]]; while(PP[u] != PP[v]){ u = P[PP[u]]; v = P[PP[v]]; } return (D[u] > D[v]) ? v : u; } int dist(int u, int v) const { return depth(u) + depth(v) - depth(lca(u,v)) * 2; } struct Range{ int l; int r; int size() const { return r-l; } bool includes(int x) const { return l <= x && x < r; } }; std::vector<Range> path(int r, int c, bool include_root = true, bool reverse_path = false) const { if(PD[c] < PD[r]) return {}; std::vector<Range> res(PD[c]-PD[r]+1); for(int i=0; i<(int)res.size()-1; i++){ res[i] = { rangeL[PP[c]], rangeL[c]+1 }; c = P[PP[c]]; } if(PP[r] != PP[c] || D[r] > D[c]) return {}; res.back() = { rangeL[r]+(include_root?0:1), rangeL[c]+1 }; if(res.back().l == res.back().r) res.pop_back(); if(!reverse_path) std::reverse(res.begin(),res.end()); else for(auto& a : res) a = { N - a.r, N - a.l }; return res; } Range subtree(int p) const { return { rangeL[p], rangeR[p] }; } int median(int x, int y, int z) const { return lca(x,y) ^ lca(y,z) ^ lca(x,z); } int la(int from, int to, int d) const { if(d < 0) return -1; int g = lca(from,to); int dist0 = D[from] - D[g] * 2 + D[to]; if(dist0 < d) return -1; int p = from; if(D[from] - D[g] < d){ p = to; d = dist0 - d; } while(D[p] - D[PP[p]] < d){ d -= D[p] - D[PP[p]] + 1; p = P[PP[p]]; } return I[rangeL[p] - d]; } struct ChildrenIterRange { struct Iter { const HeavyLightDecomposition& hld; int s; int operator*() const { return hld.toVtx(s); } Iter& operator++(){ s += hld.subtree(hld.I[s]).size(); return *this; } Iter operator++(int) const { auto a = *this; return ++a; } bool operator==(Iter& r) const { return s == r.s; } bool operator!=(Iter& r) const { return s != r.s; } }; const HeavyLightDecomposition& hld; int v; Iter begin() const { return { hld, hld.rangeL[v] + 1 }; } Iter end() const { return { hld, hld.rangeR[v] }; } }; ChildrenIterRange children(int v) const { return ChildrenIterRange{ *this, v }; } }; } // namespace nachia #define rep(i,n) for(int i=0; i<int(n); i++) #define repr(i,n) for(int i=int(n)-1; i>=0; i--) using namespace std; int main(){ using nachia::cin; using nachia::cout; int H, W; cin >> H >> W; vector<int> A(H*W); rep(i,H*W){ cin >> A[i]; } vector<pair<int,int>> edges; rep(y,H) rep(x,W-1) edges.push_back({ y*W+x, y*W+x+1 }); rep(y,H-1) rep(x,W) edges.push_back({ y*W+x, y*W+x+W }); edges = nachia::BucketSort(move(edges), [&](pair<int,int> x){ return max(A[x.first], A[x.second]); }, H*W); int V = H * W; vector<int> weight(V*2-1); nachia::Graph tree(V*2-1, false); rep(i,V) weight[V-1+i] = A[i]; auto dsu = nachia::Dsu(V); int pt = V-1; for(auto [u,v] : edges) if(!dsu.same(u,v)){ pt--; weight[pt] = max(A[u], A[v]); tree.addEdge(pt, V-1+dsu[u]); tree.addEdge(pt, V-1+dsu[v]); dsu.merge(u, v, pt-(V-1)); } auto hld = nachia::HeavyLightDecomposition(tree, 0); int Q; cin >> Q; rep(qi,Q){ int rs, cs, rt, ct; cin >> rs >> cs >> rt >> ct; rs--; cs--; rt--; ct--; int s = V-1 + rs * W + cs; int t = V-1 + rt * W + ct; int h = hld.lca(s, t); cout << weight[h] << '\n'; } return 0; }