#line 1 "library-cpp/other/template.hpp" // clang-format off #include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; using ld = long double; using pii = pair; using pll = pair; template using maxheap = priority_queue; template using minheap = priority_queue, greater>; template using vec = vector; template using vvec = vector>; #define OVERLOAD_REP(_1, _2, _3, name, ...) name #define REP0(n) for (auto minato = decay_t{}; minato < (n); ++minato) #define REP1(i, n) for (auto i = decay_t{}; (i) < (n); (i)++) #define REP2(i, l, r) for (auto i = (l); (i) < (r); (i)++) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP2, REP1, REP0)(__VA_ARGS__) #define OVERLOAD_RREP(_1, _2, _3, name, ...) name #define RREP1(i, n) for (auto i = (n) - 1; (i) >= decay_t{}; (i)--) #define RREP2(i, l, r) for (auto i = (r) - 1; (i) >= (l); (i)--) #define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP2, RREP1)(__VA_ARGS__) #define all(x) begin(x), end(x) template int SZ(const Container& v) { return int(v.size()); } template void UNIQUE(vector& v) { v.erase(unique(v.begin(), v.end()), v.end()); } template T MAX(const vector& v) { return *max_element(v.begin(), v.end()); } template T MIN(const vector& v) { return *min_element(v.begin(), v.end()); } template T SUM(const vector& v) { return accumulate(v.begin(), v.end(), T(0)); } template bool chmax(T1& a, T2 b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T1& a, T2 b) { if (a > b) { a = b; return true; } return false; } int topbit(ull x) { return x == 0 ? -1 : 63 - __builtin_clzll(x); } int botbit(ull x) { return x == 0 ? 64 : __builtin_ctzll(x); } int popcount(ull x) { return __builtin_popcountll(x); } int kthbit(ull x, int k) { return (x >> k) & 1; } constexpr long long TEN(int x) { return x == 0 ? 1 : TEN(x - 1) * 10; } template void rearrange(const vector& id) {} template void rearrange_exec(const vector& id, vector& v) { vector w(v.size()); for (size_t i = 0; i < id.size(); i++) { w[i] = v[id[i]]; } v.swap(w); } template void rearrange(const vector& id, Head& a, Tail& ...tail) { rearrange_exec(id, a); rearrange(id, tail...); } constexpr char ln = '\n'; const string YESNO[2] = {"NO", "YES"}; const string YesNo[2] = {"No", "Yes"}; void YES(bool t = true) { cout << YESNO[t] << "\n"; } void Yes(bool t = true) { cout << YesNo[t] << "\n"; } template void drop(T x) { cout << x << "\n"; exit(0); } #define INT(...) \ int __VA_ARGS__; \ IN(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ IN(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ IN(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ IN(__VA_ARGS__) #define LDB(...) \ long double __VA_ARGS__; \ IN(__VA_ARGS__) #define VEC(type, name, size) \ vector name(size); \ IN(name) #define VEC2(type, name1, name2, size) \ vector name1(size), name2(size); \ for (int i = 0; i < size; i++) IN(name1[i], name2[i]) #define VEC3(type, name1, name2, name3, size) \ vector name1(size), name2(size), name3(size); \ for (int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i]) #define VEC4(type, name1, name2, name3, name4, size) \ vector name1(size), name2(size), name3(size), name4(size); \ for (int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]); #define VV(type, name, N, M) \ vector> name(N, vector(M)); \ IN(name) template void scan(T& a) { cin >> a; } template void scan(vector& a) { for (auto& i : a) scan(i); } void IN() {} template void IN(Head& head, Tail&... tail) { scan(head); IN(tail...); } void print() { cout << "\n"; } template void print(const vector& v) { for (auto it = v.begin(); it != v.end(); ++it) { if (it != v.begin()) { cout << " "; } cout << *it; } print(); } template void print(const T& x, const Args& ... args) { cout << x; if (sizeof...(Args)) cout << " "; print(args...); } #ifdef MINATO_LOCAL template ostream& operator<<(ostream& os, pair p) { return os << "(" << p.first << ", " << p.second << ")"; } template void debug_tuple(ostream& os, TUPLE _) { (void)os; (void)_; } template void debug_tuple(ostream &os, TUPLE t) { os << (N == 0 ? "" : ", ") << get(t); debug_tuple(os, t); } template ostream& operator<<(ostream& os, tuple t) { os << "("; debug_tuple<0, tuple, Args...>(os, t); return os << ")"; } string debug_delim(int& i) { return i++ == 0 ? "" : ", "; } #define debug_embrace(x) { int i = 0; os << "{"; { x } return os << "}"; } template ostream& operator<<(ostream& os, vector v) { debug_embrace( for (T e : v) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, array a) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) } template enable_if_t>, ostream>& operator<<(ostream& os, T(&a)[N]) { debug_embrace( for (T e : a) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, set s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, map mp) { debug_embrace( for (auto e : mp) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, multiset s) { debug_embrace( for (Key e : s) { os << debug_delim(i) << e; }) } template ostream& operator<<(ostream& os, queue q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.front(); } ) } template ostream& operator<<(ostream& os, deque q) { debug_embrace( for (T e : q) { os << debug_delim(i) << e; } ) } template ostream& operator<<(ostream& os, priority_queue q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) } template ostream& operator<<(ostream& os, priority_queue, greater> q) { debug_embrace( for (; !q.empty(); q.pop()) { os << debug_delim(i) << q.top(); } ) } void debug_out() { cerr << endl; } template void debug_out(const T& x, const Args& ... args) { cerr << " " << x; debug_out(args...); } #define debug(...) cerr << __LINE__ << " : [" << #__VA_ARGS__ << "] =", debug_out(__VA_ARGS__) #else #define debug(...) (void(0)) #endif struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(7); }; } fast_ios_; /////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// // clang-format on #line 2 "library-cpp/segmenttree/SegmentTree.hpp" template struct SegmentTree { private: F op; T e; int _n, size, log; vector node; public: SegmentTree() { } SegmentTree(const F& op, T e, int n) : SegmentTree(op, e, vector(n, e)) { } SegmentTree(const F& op, T e, const vector& v) : op(op), e(e), _n(int(v.size())), log(0) { while ((1 << log) < _n) log++; size = 1 << log; node = vector(2 * size, e); for (int i = 0; i < _n; i++) node[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } // (0-indexed) void set(int p, T x) { assert(0 <= p && p < _n); p += size; node[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } // [l, r) (0-indexed) T get(int l, int r) { if (l >= r) return e; T resl = e, resr = e; l += size; r += size; while (l < r) { if (l & 1) resl = op(resl, node[l++]); l >>= 1; if (r & 1) resr = op(node[--r], resr); r >>= 1; } return op(resl, resr); } T all_get() { return node[1]; } template int max_right(int l, const C& check) { assert(0 <= l && l <= _n); assert(check(e)); if (l == _n) return _n; l += size; T sm = e; do { while (~l & 1) l >>= 1; if (!check(op(sm, node[l]))) { while (l < size) { l = (2 * l); if (check(op(sm, node[l]))) { sm = op(sm, node[l]); l++; } } return l - size; } sm = op(sm, node[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r, const C& check) { assert(0 <= r && r <= _n); assert(check(e)); if (r == 0) return 0; r += size; T sm = e; do { r--; while (r > 1 && (r & 1)) r >>= 1; if (!check(op(node[r], sm))) { while (r < size) { r = (2 * r + 1); if (check(op(node[r], sm))) { sm = op(node[r], sm); r--; } } return r + 1 - size; } sm = op(node[r], sm); } while ((r & -r) != r); return 0; } T operator[](int p) { assert(0 <= p && p < _n); return node[p + size]; } private: void update(int k) { node[k] = op(node[2 * k], node[2 * k + 1]); } }; #line 3 "H.cpp" constexpr int INF = TEN(9); struct Node { int AL = 0; int L = -INF; int R = -INF; int MX = -INF; }; void solve() { auto f = [](Node a, Node b) { int AL = a.AL + b.AL; int L = max(a.L, a.AL + b.L); int R = max(b.R, b.AL + a.R); int MX = max({a.MX, b.MX, a.R + b.L}); return Node{AL, L, R, MX}; }; const Node e; INT(N, Q); VEC(int, A, N); vvec G(N + 1); rep(i, N) G[A[i]].emplace_back(i); VEC2(int, L, R, Q); rep(i, Q) L[i]--; vec ng(Q), ok(Q, N); while (true) { bool run = false; vvec B(N); rep(i, Q) { if (ok[i] - ng[i] > 1) { run = true; B[(ok[i] + ng[i]) / 2].emplace_back(i); } } if (!run) break; SegmentTree seg(f, e, vec(N, Node{1, 1, 1, 1})); rep(i, N) { for (auto id : G[i]) { seg.set(id, Node{-1, 0, 0, 0}); } for (auto id : B[i]) { int l = L[id]; int r = R[id]; auto n = seg.get(l, r); int val = n.AL - n.MX + 1; if (val < 0) ok[id] = i; else ng[id] = i; } } } rep(i, Q) if (L[i] + 1 == R[i]) ok[i] = A[L[i]]; for (auto e : ok) print(e); } int main() { int T = 1; // cin >> T; for (int i = 0; i < T; i++) { solve(); } }