結果
問題 | No.2809 Sort Query |
ユーザー | ruthen |
提出日時 | 2024-07-13 10:34:22 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 508 ms / 2,000 ms |
コード長 | 18,925 bytes |
コンパイル時間 | 2,328 ms |
コンパイル使用メモリ | 163,452 KB |
実行使用メモリ | 31,948 KB |
最終ジャッジ日時 | 2024-07-13 10:35:00 |
合計ジャッジ時間 | 36,561 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 | 368 ms
26,328 KB |
testcase_02 | AC | 371 ms
25,612 KB |
testcase_03 | AC | 395 ms
26,288 KB |
testcase_04 | AC | 365 ms
26,516 KB |
testcase_05 | AC | 369 ms
25,544 KB |
testcase_06 | AC | 302 ms
22,444 KB |
testcase_07 | AC | 284 ms
22,564 KB |
testcase_08 | AC | 281 ms
23,592 KB |
testcase_09 | AC | 279 ms
22,652 KB |
testcase_10 | AC | 292 ms
22,460 KB |
testcase_11 | AC | 315 ms
22,636 KB |
testcase_12 | AC | 303 ms
22,544 KB |
testcase_13 | AC | 311 ms
22,520 KB |
testcase_14 | AC | 315 ms
22,516 KB |
testcase_15 | AC | 322 ms
22,636 KB |
testcase_16 | AC | 314 ms
22,416 KB |
testcase_17 | AC | 311 ms
22,596 KB |
testcase_18 | AC | 323 ms
22,588 KB |
testcase_19 | AC | 314 ms
22,476 KB |
testcase_20 | AC | 310 ms
22,416 KB |
testcase_21 | AC | 487 ms
31,948 KB |
testcase_22 | AC | 503 ms
31,888 KB |
testcase_23 | AC | 508 ms
31,888 KB |
testcase_24 | AC | 483 ms
31,916 KB |
testcase_25 | AC | 487 ms
31,892 KB |
testcase_26 | AC | 431 ms
26,148 KB |
testcase_27 | AC | 433 ms
26,084 KB |
testcase_28 | AC | 430 ms
26,368 KB |
testcase_29 | AC | 457 ms
26,092 KB |
testcase_30 | AC | 450 ms
26,056 KB |
testcase_31 | AC | 261 ms
21,452 KB |
testcase_32 | AC | 264 ms
21,476 KB |
testcase_33 | AC | 255 ms
21,380 KB |
testcase_34 | AC | 257 ms
21,456 KB |
testcase_35 | AC | 254 ms
21,416 KB |
testcase_36 | AC | 273 ms
22,588 KB |
testcase_37 | AC | 272 ms
22,412 KB |
testcase_38 | AC | 287 ms
22,544 KB |
testcase_39 | AC | 274 ms
22,560 KB |
testcase_40 | AC | 270 ms
22,560 KB |
testcase_41 | AC | 393 ms
24,356 KB |
testcase_42 | AC | 408 ms
24,308 KB |
testcase_43 | AC | 412 ms
24,388 KB |
testcase_44 | AC | 392 ms
24,284 KB |
testcase_45 | AC | 393 ms
24,292 KB |
testcase_46 | AC | 340 ms
24,200 KB |
testcase_47 | AC | 358 ms
24,324 KB |
testcase_48 | AC | 340 ms
24,264 KB |
testcase_49 | AC | 350 ms
24,292 KB |
testcase_50 | AC | 341 ms
24,236 KB |
testcase_51 | AC | 201 ms
24,384 KB |
testcase_52 | AC | 212 ms
24,368 KB |
testcase_53 | AC | 207 ms
24,352 KB |
testcase_54 | AC | 194 ms
24,368 KB |
testcase_55 | AC | 192 ms
24,332 KB |
testcase_56 | AC | 286 ms
17,924 KB |
testcase_57 | AC | 248 ms
15,384 KB |
testcase_58 | AC | 215 ms
15,548 KB |
testcase_59 | AC | 245 ms
16,000 KB |
testcase_60 | AC | 250 ms
18,160 KB |
testcase_61 | AC | 357 ms
22,344 KB |
testcase_62 | AC | 230 ms
15,992 KB |
testcase_63 | AC | 303 ms
20,288 KB |
testcase_64 | AC | 379 ms
23,984 KB |
testcase_65 | AC | 221 ms
15,056 KB |
testcase_66 | AC | 2 ms
6,940 KB |
testcase_67 | AC | 2 ms
6,940 KB |
testcase_68 | AC | 2 ms
6,944 KB |
testcase_69 | AC | 2 ms
6,944 KB |
testcase_70 | AC | 2 ms
6,940 KB |
ソースコード
// #include "my_template.hpp" // #include "data_structure/segment_tree.hpp" // #include "algebra/monoid_s/monoid_sum.hpp" // using namespace std; // // void solve() { // INT(N, Q); // VEC(i64, A, N); // // // クエリ先読み+座標圧縮 // auto z = A; // vector<tuple<int, i64, i64>> query(Q); // REP(q, Q) { // INT(type); // if (type == 1) { // I64(k, x); // query[q] = {type, k - 1, x}; // z.push_back(x); // } else if (type == 2) { // query[q] = {type, -1, -1}; // } else { // INT(k); // query[q] = {type, k - 1, -1}; // } // } // UNIQUE(z); // REP(i, N) A[i] = LB(z, A[i]); // FORE(type, k, x, query) { // if (type == 1) x = LB(z, x); // } // // const int M = LEN(z); // // ソート済みの集合と未ソートの集合を管理 // using Mono = MonoidSum<int>; // SegmentTree<Mono> sorted(M); // SegmentTree<Mono> nsorted(N); // REP(i, N) nsorted.set(i, 1); // // 未ソートの要素の添字->要素の対応 // vector<int> id_to_elem(N); // REP(i, N) id_to_elem[i] = A[i]; // REP(q, Q) { // auto [type, k, x] = query[q]; // if (type == 1) { // if (nsorted.get(k) == 0) { // // ソート済みの集合のどこかにある // int num = nsorted.prod(0, k); // auto f = [&](int s) -> bool { return s <= k - num; }; // auto index = sorted.max_right(0, f); // sorted.chset(index, -1); // nsorted.chset(k, 1); // id_to_elem[k] = x; // } else { // id_to_elem[k] = x; // } // } else if (type == 2) { // // nsorted -> sorted に移動 // while (nsorted.all_prod() > 0) { // auto f = [&](int s) -> bool { return s == 0; }; // auto index = nsorted.max_right(0, f); // nsorted.chset(index, -1); // sorted.chset(id_to_elem[index], 1); // } // } else { // // type == 3 // if (nsorted.get(k) == 0) { // // ソート済みの集合のどこかにある // int num = nsorted.prod(0, k); // auto f = [&](int s) -> bool { return s <= k - num; }; // auto index = sorted.max_right(0, f); // print(z[index]); // } else { // print(z[id_to_elem[k]]); // } // } // } // return; // } // // int main() { // solve(); // return 0; // } #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 <memory> #include <numeric> #include <optional> #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> #ifdef RUTHEN_LOCAL #include <debug.hpp> #else #define show(x) true #endif // type definition using i64 = long long; using u32 = unsigned int; using u64 = unsigned long long; using f32 = float; using f64 = double; using f128 = long double; template <class T> using pque = std::priority_queue<T>; template <class T> using pqueg = std::priority_queue<T, std::vector<T>, std::greater<T>>; // overload #define overload4(_1, _2, _3, _4, name, ...) name #define overload3(_1, _2, _3, name, ...) name #define overload2(_1, _2, name, ...) name // for loop #define REP1(a) for (long long _ = 0; _ < (a); _++) #define REP2(i, a) for (long long i = 0; i < (a); i++) #define REP3(i, a, b) for (long long i = (a); i < (b); i++) #define REP4(i, a, b, c) for (long long i = (a); i < (b); i += (c)) #define REP(...) overload4(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) #define RREP1(a) for (long long _ = (a)-1; _ >= 0; _--) #define RREP2(i, a) for (long long i = (a)-1; i >= 0; i--) #define RREP3(i, a, b) for (long long i = (b)-1; i >= (a); i--) #define RREP(...) overload3(__VA_ARGS__, RREP3, RREP2, RREP1)(__VA_ARGS__) #define FORE1(x, a) for (auto&& x : a) #define FORE2(x, y, a) for (auto&& [x, y] : a) #define FORE3(x, y, z, a) for (auto&& [x, y, z] : a) #define FORE(...) overload4(__VA_ARGS__, FORE3, FORE2, FORE1)(__VA_ARGS__) #define FORSUB(t, s) for (long long t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s))) // function #define ALL(a) (a).begin(), (a).end() #define RALL(a) (a).rbegin(), (a).rend() #define SORT(a) std::sort((a).begin(), (a).end()) #define RSORT(a) std::sort((a).rbegin(), (a).rend()) #define REV(a) std::reverse((a).begin(), (a).end()) #define UNIQUE(a) \ std::sort((a).begin(), (a).end()); \ (a).erase(std::unique((a).begin(), (a).end()), (a).end()) #define LEN(a) (int)((a).size()) #define MIN(a) *std::min_element((a).begin(), (a).end()) #define MAX(a) *std::max_element((a).begin(), (a).end()) #define SUM1(a) std::accumulate((a).begin(), (a).end(), 0LL) #define SUM2(a, x) std::accumulate((a).begin(), (a).end(), (x)) #define SUM(...) overload2(__VA_ARGS__, SUM2, SUM1)(__VA_ARGS__) #define LB(a, x) std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))) #define UB(a, x) std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))) template <class T, class U> inline bool chmin(T& a, const U& b) { return (a > T(b) ? a = b, 1 : 0); } template <class T, class U> inline bool chmax(T& a, const U& b) { return (a < T(b) ? a = b, 1 : 0); } template <class T, class S> inline T floor(const T x, const S y) { assert(y); return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1))); } template <class T, class S> inline T ceil(const T x, const S y) { assert(y); return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y)); } template <class T, class S> std::pair<T, T> inline divmod(const T x, const S y) { T q = floor(x, y); return {q, x - q * y}; } // 10 ^ n constexpr long long TEN(int n) { return (n == 0) ? 1 : 10LL * TEN(n - 1); } // 1 + 2 + ... + n #define TRI1(n) ((n) * ((n) + 1LL) / 2) // l + (l + 1) + ... + r #define TRI2(l, r) (((l) + (r)) * ((r) - (l) + 1LL) / 2) #define TRI(...) overload2(__VA_ARGS__, TRI2, TRI1)(__VA_ARGS__) // bit operation // bit[i] (= 0 or 1) #define IBIT(bit, i) (((bit) >> (i)) & 1) // (0, 1, 2, 3, 4) -> (0, 1, 3, 7, 15) #define MASK(n) ((1LL << (n)) - 1) #define POW2(n) (1LL << (n)) // (0, 1, 2, 3, 4) -> (0, 1, 1, 2, 1) int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(i64 x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(i64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(i64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } // binary search (integer) template <class T, class F> T bin_search(T ok, T ng, F& f) { while ((ok > ng ? ok - ng : ng - ok) > 1) { T md = (ng + ok) >> 1; (f(md) ? ok : ng) = md; } return ok; } // binary search (real number) template <class T, class F> T bin_search_real(T ok, T ng, F& f, const int iter = 100) { for (int _ = 0; _ < iter; _++) { T md = (ng + ok) / 2; (f(md) ? ok : ng) = md; } return ok; } // floor(sqrt(x)) template <class T> constexpr T sqrt_floor(T x) { return T(sqrtl(x)); } // check if [l1, r1) and [l2, r2) intersect template <class T> constexpr bool intersect(const T l1, const T r1, const T l2, const T r2) { return std::max(l1, l2) < std::min(r1, r2); } // check if [a.first, a.second) and [b.first, b.second) intersect template <class T> constexpr bool intersect(const std::pair<T, T>& a, const std::pair<T, T>& b) { return intersect(a.first, a.second, b.first, b.second); } // rotate matrix counterclockwise by pi / 2 template <class T> void rot(std::vector<std::vector<T>>& a) { if ((int)(a.size()) == 0) return; if ((int)(a[0].size()) == 0) return; int n = (int)(a.size()), m = (int)(a[0].size()); std::vector res(m, std::vector<T>(n)); for (int i = 0; i < n; i++) { for (int j = 0; j < m; j++) { res[m - 1 - j][i] = a[i][j]; } } a.swap(res); } // const value constexpr int dx[8] = {1, 0, -1, 0, 1, -1, -1, 1}; constexpr int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1}; // infinity template <class T> constexpr T INF = 0; template <> constexpr int INF<int> = 1'000'000'000; // 1e9 template <> constexpr i64 INF<i64> = i64(INF<int>) * INF<int> * 2; // 2e18 template <> constexpr u32 INF<u32> = INF<int>; // 1e9 template <> constexpr u64 INF<u64> = INF<i64>; // 2e18 template <> constexpr f32 INF<f32> = INF<i64>; // 2e18 template <> constexpr f64 INF<f64> = INF<i64>; // 2e18 template <> constexpr f128 INF<f128> = INF<i64>; // 2e18 // I/O // input template <class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) { for (auto&& i : v) is >> i; return is; } template <class... T> void in(T&... a) { (std::cin >> ... >> a); } void scan() {} template <class Head, class... Tail> void scan(Head& head, Tail&... tail) { in(head); scan(tail...); } // input macro #define INT(...) \ int __VA_ARGS__; \ scan(__VA_ARGS__) #define I64(...) \ i64 __VA_ARGS__; \ scan(__VA_ARGS__) #define U32(...) \ u32 __VA_ARGS__; \ scan(__VA_ARGS__) #define U64(...) \ u64 __VA_ARGS__; \ scan(__VA_ARGS__) #define F32(...) \ f32 __VA_ARGS__; \ scan(__VA_ARGS__) #define F64(...) \ f64 __VA_ARGS__; \ scan(__VA_ARGS__) #define F128(...) \ f128 __VA_ARGS__; \ scan(__VA_ARGS__) #define STR(...) \ std::string __VA_ARGS__; \ scan(__VA_ARGS__) #define CHR(...) \ char __VA_ARGS__; \ scan(__VA_ARGS__) #define VEC(type, name, size) \ std::vector<type> name(size); \ scan(name) #define VEC2(type, name1, name2, size) \ std::vector<type> name1(size), name2(size); \ for (int i = 0; i < size; i++) scan(name1[i], name2[i]) #define VEC3(type, name1, name2, name3, size) \ std::vector<type> name1(size), name2(size), name3(size); \ for (int i = 0; i < size; i++) scan(name1[i], name2[i], name3[i]) #define VEC4(type, name1, name2, name3, name4, size) \ std::vector<type> name1(size), name2(size), name3(size), name4(size); \ for (int i = 0; i < size; i++) scan(name1[i], name2[i], name3[i], name4[i]) #define VV(type, name, h, w) \ std::vector name((h), std::vector<type>((w))); \ scan(name) // output template <class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) { auto n = v.size(); for (size_t i = 0; i < n; i++) { if (i) os << ' '; os << v[i]; } return os; } template <class... T> void out(const T&... a) { (std::cout << ... << a); } void print() { out('\n'); } template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) { out(head); if (sizeof...(Tail)) out(' '); print(tail...); } // for interactive problems void printi() { std::cout << std::endl; } template <class Head, class... Tail> void printi(Head&& head, Tail&&... tail) { out(head); if (sizeof...(Tail)) out(' '); printi(tail...); } // bool output void YES(bool t = 1) { print(t ? "YES" : "NO"); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void NO(bool t = 1) { YES(!t); } void No(bool t = 1) { Yes(!t); } void no(bool t = 1) { yes(!t); } void POSSIBLE(bool t = 1) { print(t ? "POSSIBLE" : "IMPOSSIBLE"); } void Possible(bool t = 1) { print(t ? "Possible" : "Impossible"); } void possible(bool t = 1) { print(t ? "possible" : "impossible"); } void IMPOSSIBLE(bool t = 1) { POSSIBLE(!t); } void Impossible(bool t = 1) { Possible(!t); } void impossible(bool t = 1) { possible(!t); } void FIRST(bool t = 1) { print(t ? "FIRST" : "SECOND"); } void First(bool t = 1) { print(t ? "First" : "Second"); } void first(bool t = 1) { print(t ? "first" : "second"); } void SECOND(bool t = 1) { FIRST(!t); } void Second(bool t = 1) { First(!t); } void second(bool t = 1) { first(!t); } // I/O speed up struct SetUpIO { SetUpIO() { std::ios::sync_with_stdio(false); std::cin.tie(0); std::cout << std::fixed << std::setprecision(15); } } set_up_io; template <class MS> struct SegmentTree { public: using S = typename MS::S; SegmentTree() : SegmentTree(0) {} SegmentTree(int n) : SegmentTree(std::vector<S>(n, MS::e())) {} SegmentTree(const std::vector<S>& v) : n((int)(v.size())) { log = 0; while ((1U << log) < (unsigned int)(n)) log++; size = 1 << log; d = std::vector<S>(size << 1, MS::e()); for (int i = 0; i < n; i++) d[i + size] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, const S& x) { assert(0 <= p and p < n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } void chset(int p, const S& x) { assert(0 <= p and p < n); p += size; d[p] = MS::op(d[p], x); for (int i = 1; i <= log; i++) update(p >> i); } S operator[](int p) const { assert(0 <= p and p < n); return d[p + size]; } S get(int p) const { assert(0 <= p && p < n); return d[p + size]; } S prod(int l, int r) const { assert(0 <= l and l <= r and r <= n); S sml = MS::e(), smr = MS::e(); l += size; r += size; while (l < r) { if (l & 1) sml = MS::op(sml, d[l++]); if (r & 1) smr = MS::op(d[--r], smr); l >>= 1; r >>= 1; } return MS::op(sml, smr); } S all_prod() const { return d[1]; } template <class G> int max_right(int l, G& g) const { assert(0 <= l and l <= n); assert(g(MS::e())); if (l == n) return n; l += size; S sm = MS::e(); do { while ((l & 1) == 0) l >>= 1; if (!g(MS::op(sm, d[l]))) { while (l < size) { l <<= 1; if (g(MS::op(sm, d[l]))) { sm = MS::op(sm, d[l]); l++; } } return l - size; } sm = MS::op(sm, d[l]); l++; } while ((l & -l) != l); return n; } template <class G> int min_left(int r, G& g) const { assert(0 <= r and r <= n); assert(g(MS::e())); if (r == 0) return 0; r += size; S sm = MS::e(); do { r--; while (r > 1 and (r & 1)) r >>= 1; if (!g(MS::op(d[r], sm))) { while (r < size) { r = (r << 1) | 1; if (g(MS::op(d[r], sm))) { sm = MS::op(d[r], sm); r--; } } return r + 1 - size; } sm = MS::op(d[r], sm); } while ((r & -r) != r); return 0; } std::vector<S> make_vector() { std::vector<S> vec(n); for (int i = 0; i < n; i++) vec[i] = get(i); return vec; } private: int n, log, size; std::vector<S> d; inline void update(int k) { d[k] = MS::op(d[k << 1], d[(k << 1) | 1]); } }; // MS template <class T> struct MonoidSum { using S = T; static constexpr S op(S a, S b) { return a + b; } static constexpr S e() { return T(0); } }; using namespace std; void solve() { INT(N, Q); VEC(i64, A, N); // クエリ先読み+座標圧縮 auto z = A; vector<tuple<int, i64, i64>> query(Q); REP(q, Q) { INT(type); if (type == 1) { I64(k, x); query[q] = {type, k - 1, x}; z.push_back(x); } else if (type == 2) { query[q] = {type, -1, -1}; } else { INT(k); query[q] = {type, k - 1, -1}; } } UNIQUE(z); REP(i, N) A[i] = LB(z, A[i]); FORE(type, k, x, query) { if (type == 1) x = LB(z, x); } const int M = LEN(z); // ソート済みの集合と未ソートの集合を管理 using Mono = MonoidSum<int>; SegmentTree<Mono> sorted(M); SegmentTree<Mono> nsorted(N); REP(i, N) nsorted.set(i, 1); // 未ソートの要素の添字->要素の対応 vector<int> id_to_elem(N); REP(i, N) id_to_elem[i] = A[i]; REP(q, Q) { auto [type, k, x] = query[q]; if (type == 1) { if (nsorted.get(k) == 0) { // ソート済みの集合のどこかにある int num = nsorted.prod(0, k); auto f = [&](int s) -> bool { return s <= k - num; }; auto index = sorted.max_right(0, f); sorted.chset(index, -1); nsorted.chset(k, 1); id_to_elem[k] = x; } else { id_to_elem[k] = x; } } else if (type == 2) { // nsorted -> sorted に移動 while (nsorted.all_prod() > 0) { auto f = [&](int s) -> bool { return s == 0; }; auto index = nsorted.max_right(0, f); nsorted.chset(index, -1); sorted.chset(id_to_elem[index], 1); } } else { // type == 3 if (nsorted.get(k) == 0) { // ソート済みの集合のどこかにある int num = nsorted.prod(0, k); auto f = [&](int s) -> bool { return s <= k - num; }; auto index = sorted.max_right(0, f); print(z[index]); } else { print(z[id_to_elem[k]]); } } } return; } int main() { solve(); return 0; }