結果
問題 | No.2065 Sum of Min |
ユーザー | hashiryo |
提出日時 | 2023-11-05 22:03:20 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 1,319 ms / 2,000 ms |
コード長 | 8,519 bytes |
コンパイル時間 | 3,035 ms |
コンパイル使用メモリ | 235,500 KB |
実行使用メモリ | 155,508 KB |
最終ジャッジ日時 | 2024-09-25 22:45:52 |
合計ジャッジ時間 | 21,962 ms |
ジャッジサーバーID (参考情報) |
judge4 / 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
6,812 KB |
testcase_01 | AC | 2 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,944 KB |
testcase_04 | AC | 467 ms
155,504 KB |
testcase_05 | AC | 430 ms
155,384 KB |
testcase_06 | AC | 621 ms
155,508 KB |
testcase_07 | AC | 261 ms
155,328 KB |
testcase_08 | AC | 606 ms
155,376 KB |
testcase_09 | AC | 743 ms
155,420 KB |
testcase_10 | AC | 556 ms
155,448 KB |
testcase_11 | AC | 543 ms
155,488 KB |
testcase_12 | AC | 1,248 ms
155,372 KB |
testcase_13 | AC | 1,198 ms
155,372 KB |
testcase_14 | AC | 1,260 ms
155,388 KB |
testcase_15 | AC | 1,304 ms
155,372 KB |
testcase_16 | AC | 1,319 ms
155,488 KB |
testcase_17 | AC | 1,291 ms
155,448 KB |
testcase_18 | AC | 1,274 ms
155,504 KB |
testcase_19 | AC | 1,238 ms
155,364 KB |
testcase_20 | AC | 1,242 ms
155,352 KB |
testcase_21 | AC | 1,255 ms
155,504 KB |
ソースコード
// #define _GLIBCXX_DEBUG #include <bits/stdc++.h> // clang-format off std::ostream&operator<<(std::ostream&os,std::int8_t x){return os<<(int)x;} std::ostream&operator<<(std::ostream&os,std::uint8_t x){return os<<(int)x;} std::ostream&operator<<(std::ostream&os,const __int128_t &v){if(!v)os<<"0";__int128_t tmp=v<0?(os<<"-",-v):v;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;} std::ostream&operator<<(std::ostream&os,const __uint128_t &v){if(!v)os<<"0";__uint128_t tmp=v;std::string s;while(tmp)s+='0'+(tmp%10),tmp/=10;return std::reverse(s.begin(),s.end()),os<<s;} #define checkpoint() (void(0)) #define debug(...) (void(0)) #define debugArray(x,n) (void(0)) #define debugMatrix(x,h,w) (void(0)) // clang-format on #include <type_traits> template <class T> static constexpr bool tuple_like_v= false; template <class... Args> static constexpr bool tuple_like_v<std::tuple<Args...>> = true; template <class T, class U> static constexpr bool tuple_like_v<std::pair<T, U>> = true; template <class T, size_t K> static constexpr bool tuple_like_v<std::array<T, K>> = true; template <class T> auto to_tuple(const T &t) { if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::make_tuple(x...); }, t); } template <class T> auto forward_tuple(const T &t) { if constexpr (tuple_like_v<T>) return std::apply([](auto &&...x) { return std::forward_as_tuple(x...); }, t); } template <class T> static constexpr bool array_like_v= false; template <class T, size_t K> static constexpr bool array_like_v<std::array<T, K>> = true; template <class T, class U> static constexpr bool array_like_v<std::pair<T, U>> = std::is_convertible_v<T, U>; template <class T> static constexpr bool array_like_v<std::tuple<T>> = true; template <class T, class U, class... Args> static constexpr bool array_like_v<std::tuple<T, U, Args...>> = array_like_v<std::tuple<T, Args...>> && std::is_convertible_v<U, T>; template <class T> auto to_array(const T &t) { if constexpr (array_like_v<T>) return std::apply([](auto &&...x) { return std::array{x...}; }, t); } template <class T> using to_tuple_t= decltype(to_tuple(T())); template <class T> using to_array_t= decltype(to_array(T())); template <class pos_t, class M> class SegmentTree_2D { public: using T= typename M::T; using Pos= std::array<pos_t, 2>; std::vector<pos_t> xs; std::vector<Pos> yxs; std::vector<int> id, tol; std::vector<T> val; template <class P> using canbe_Pos= std::is_convertible<to_tuple_t<P>, std::tuple<pos_t, pos_t>>; template <class P> using canbe_PosV= std::is_convertible<to_tuple_t<P>, std::tuple<pos_t, pos_t, T>>; template <class P, class U> static constexpr bool canbe_Pos_and_T_v= std::conjunction_v<canbe_Pos<P>, std::is_convertible<U, T>>; int sz; inline int x2i(pos_t x) const { return std::lower_bound(xs.begin(), xs.end(), x) - xs.begin(); } inline int y2i(pos_t y) const { return std::lower_bound(yxs.begin(), yxs.end(), Pos{y, 0}, [](const Pos &a, const Pos &b) { return a[0] < b[0]; }) - yxs.begin(); } inline int xy2i(pos_t x, pos_t y) const { Pos p{y, x}; auto it= std::lower_bound(yxs.begin(), yxs.end(), p); return assert(p == *it), it - yxs.begin(); } template <bool z, size_t k, class P> inline auto get_(const P &p) { if constexpr (z) return std::get<k>(p); else return std::get<k>(p.first); } template <bool z, class XYW> inline void build(const XYW *xyw, int n, const T &v= M::ti()) { xs.resize(n), yxs.resize(n); for (int i= n; i--;) xs[i]= get_<z, 0>(xyw[i]); std::sort(xs.begin(), xs.end()), xs.erase(std::unique(xs.begin(), xs.end()), xs.end()), id.resize((sz= 1 << (32 - __builtin_clz(xs.size()))) * 2 + 1); std::vector<int> ix(n), ord(n); for (int i= n; i--;) ix[i]= x2i(get_<z, 0>(xyw[i])); for (int i: ix) for (i+= sz; i; i>>= 1) ++id[i + 1]; for (int i= 1, e= sz * 2; i < e; ++i) id[i + 1]+= id[i]; val.assign(id.back() * 2, M::ti()), tol.resize(id[sz] + 1), std::iota(ord.begin(), ord.end(), 0), std::sort(ord.begin(), ord.end(), [&](int i, int j) { return get_<z, 1>(xyw[i]) == get_<z, 1>(xyw[j]) ? get_<z, 0>(xyw[i]) < get_<z, 0>(xyw[j]) : get_<z, 1>(xyw[i]) < get_<z, 1>(xyw[j]); }); for (int i= n; i--;) yxs[i]= {get_<z, 1>(xyw[ord[i]]), get_<z, 0>(xyw[ord[i]])}; std::vector<int> ptr= id; for (int r: ord) for (int i= ix[r] + sz, j= -1; i; j= i, i>>= 1) { int p= ptr[i]++; if constexpr (z) { if constexpr (std::tuple_size_v<XYW> == 3) val[id[i + 1] + p]= std::get<2>(xyw[r]); else val[id[i + 1] + p]= v; } else val[id[i + 1] + p]= xyw[r].second; if (j != -1) tol[p + 1]= !(j & 1); } for (int i= 1, e= id[sz]; i < e; ++i) tol[i + 1]+= tol[i]; for (int i= 0, e= sz * 2; i < e; ++i) { auto dat= val.begin() + id[i] * 2; for (int j= id[i + 1] - id[i]; --j > 0;) dat[j]= M::op(dat[j * 2], dat[j * 2 + 1]); } } inline T fold(int i, int a, int b) const { int n= id[i + 1] - id[i]; T ret= M::ti(); auto dat= val.begin() + id[i] * 2; for (a+= n, b+= n; a < b; a>>= 1, b>>= 1) { if (a & 1) ret= M::op(ret, dat[a++]); if (b & 1) ret= M::op(dat[--b], ret); } return ret; } template <bool z> inline void seti(int i, int j, T v) { auto dat= val.begin() + id[i] * 2; j+= id[i + 1] - id[i]; if constexpr (z) dat[j]= v; else dat[j]= M::op(dat[j], v); for (; j;) j>>= 1, dat[j]= M::op(dat[2 * j], dat[2 * j + 1]); } template <bool z> inline void set_(pos_t x, pos_t y, T v) { for (int i= 1, p= xy2i(x, y);;) { if (seti<z>(i, p - id[i], v); i >= sz) break; if (int lc= tol[p] - tol[id[i]], rc= (p - id[i]) - lc; tol[p + 1] - tol[p]) p= id[2 * i] + lc, i= 2 * i; else p= id[2 * i + 1] + rc, i= 2 * i + 1; } } public: template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> SegmentTree_2D(const P *p, size_t n) { build<1>(p, n); } template <class P, typename= std::enable_if_t<std::disjunction_v<canbe_Pos<P>, canbe_PosV<P>>>> SegmentTree_2D(const std::vector<P> &p): SegmentTree_2D(p.data(), p.size()) {} template <class P, typename= std::enable_if_t<canbe_Pos<P>::value>> SegmentTree_2D(const std::set<P> &p): SegmentTree_2D(std::vector(p.begin(), p.end())) {} template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const P *p, size_t n, const U &v) { build<1>(p, n, v); } template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::vector<P> &p, const U &v): SegmentTree_2D(p.data(), p.size(), v) {} template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::set<P> &p, const U &v): SegmentTree_2D(std::vector(p.begin(), p.end()), v) {} template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::pair<P, U> *p, size_t n) { build<0>(p, n); } template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::vector<std::pair<P, U>> &p): SegmentTree_2D(p.data(), p.size()) {} template <class P, class U, typename= std::enable_if_t<canbe_Pos_and_T_v<P, U>>> SegmentTree_2D(const std::map<P, U> &p): SegmentTree_2D(std::vector(p.begin(), p.end())) {} // [l,r) x [u,d) T fold(pos_t l, pos_t r, pos_t u, pos_t d) const { T ret= M::ti(); int L= x2i(l), R= x2i(r); auto dfs= [&](auto &dfs, int i, int a, int b, int c, int d) -> void { if (c == d || R <= a || b <= L) return; if (L <= a && b <= R) return ret= M::op(ret, fold(i, c, d)), void(); int m= (a + b) / 2, ac= tol[id[i] + c] - tol[id[i]], bc= c - ac, ad= tol[id[i] + d] - tol[id[i]], bd= d - ad; dfs(dfs, i * 2, a, m, ac, ad), dfs(dfs, i * 2 + 1, m, b, bc, bd); }; return dfs(dfs, 1, 0, sz, y2i(u), y2i(d)), ret; } void set(pos_t x, pos_t y, T v) { set_<1>(x, y, v); } void mul(pos_t x, pos_t y, T v) { set_<0>(x, y, v); } T get(pos_t x, pos_t y) const { return val[xy2i(x, y) + id[2]]; } }; using namespace std; struct RSQ { using T= long long; static T ti() { return 0; } static T op(const T &l, const T &r) { return l + r; } }; signed main() { cin.tie(0); ios::sync_with_stdio(0); int N, Q; cin >> N >> Q; vector<array<int, 2>> xy(N); vector<array<int, 3>> xyv(N); for (int i= 0; i < N; ++i) { int A; cin >> A; xy.push_back({i, A}); xyv.push_back({i, A, A}); } SegmentTree_2D<int, RSQ> seg1(xy, 1), seg2(xyv); while (Q--) { int L, R, X; cin >> L >> R >> X, --L; cout << seg2.fold(L, R, 0, X) + seg1.fold(L, R, X, 1e9 + 10) * X << '\n'; } return 0; }