結果
問題 | No.924 紲星 |
ユーザー | maspy |
提出日時 | 2022-09-27 05:52:10 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 309 ms / 4,000 ms |
コード長 | 20,239 bytes |
コンパイル時間 | 3,736 ms |
コンパイル使用メモリ | 269,644 KB |
実行使用メモリ | 37,276 KB |
最終ジャッジ日時 | 2024-06-02 00:49:02 |
合計ジャッジ時間 | 9,247 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
(要ログイン)
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
6,944 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,940 KB |
testcase_05 | AC | 3 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,944 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 309 ms
37,232 KB |
testcase_09 | AC | 301 ms
37,220 KB |
testcase_10 | AC | 296 ms
37,240 KB |
testcase_11 | AC | 301 ms
37,216 KB |
testcase_12 | AC | 296 ms
37,276 KB |
testcase_13 | AC | 115 ms
17,608 KB |
testcase_14 | AC | 95 ms
14,768 KB |
testcase_15 | AC | 99 ms
15,532 KB |
testcase_16 | AC | 180 ms
27,372 KB |
testcase_17 | AC | 166 ms
20,632 KB |
testcase_18 | AC | 2 ms
6,940 KB |
ソースコード
#line 1 "main.cpp" #define PROBLEM "https://yukicoder.me/problems/no/924" #line 1 "library/my_template.hpp" #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include <bits/stdc++.h> using namespace std; using ll = long long; using pi = pair<ll, ll>; using vi = vector<ll>; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; template <class T> using vc = vector<T>; template <class T> using vvc = vector<vc<T>>; template <class T> using vvvc = vector<vvc<T>>; template <class T> using vvvvc = vector<vvvc<T>>; template <class T> using vvvvvc = vector<vvvvc<T>>; template <class T> using pq = priority_queue<T>; template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>; #define vec(type, name, ...) vector<type> name(__VA_ARGS__) #define vv(type, name, h, ...) \ vector<vector<type>> name(h, vector<type>(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector<vector<vector<type>>> name( \ h, vector<vector<type>>(w, vector<type>(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector<vector<vector<vector<type>>>> name( \ a, vector<vector<vector<type>>>( \ b, vector<vector<type>>(c, vector<type>(__VA_ARGS__)))) // https://trap.jp/post/1224/ #define FOR1(a) for (ll _ = 0; _ < ll(a); ++_) #define FOR2(i, a) for (ll i = 0; i < ll(a); ++i) #define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i) #define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c)) #define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i) #define FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c)) #define overload4(a, b, c, d, e, ...) e #define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define FOR_R(...) \ overload4(__VA_ARGS__, FOR4_R, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define FOR_subset(t, s) for (ll t = s; t >= 0; t = (t == 0 ? -1 : (t - 1) & s)) #define all(x) x.begin(), x.end() #define len(x) ll(x.size()) #define elif else if #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define stoi stoll template <typename T, typename U> T SUM(const vector<U> &A) { T sum = 0; for (auto &&a: A) sum += a; return sum; } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end()) int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll 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(ll 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(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template <typename T> T pick(deque<T> &que) { T a = que.front(); que.pop_front(); return a; } template <typename T> T pick(pq<T> &que) { T a = que.top(); que.pop(); return a; } template <typename T> T pick(pqg<T> &que) { assert(que.size()); T a = que.top(); que.pop(); return a; } template <typename T> T pick(vc<T> &que) { assert(que.size()); T a = que.back(); que.pop_back(); return a; } template <typename T, typename U> T ceil(T x, U y) { return (x > 0 ? (x + y - 1) / y : x / y); } template <typename T, typename U> T floor(T x, U y) { return (x > 0 ? x / y : (x - y + 1) / y); } template <typename T, typename U> pair<T, T> divmod(T x, U y) { T q = floor(x, y); return {q, x - q * y}; } template <typename F> ll binary_search(F check, ll ok, ll ng) { assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x)); } return ok; } template <typename F> double binary_search_real(F check, double ok, double ng, int iter = 100) { FOR(iter) { double x = (ok + ng) / 2; tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, x)); } return (ok + ng) / 2; } template <class T, class S> inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template <class T, class S> inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } vc<int> s_to_vi(const string &S, char first_char) { vc<int> A(S.size()); FOR(i, S.size()) { A[i] = S[i] - first_char; } return A; } template <typename T, typename U> vector<T> cumsum(vector<U> &A, int off = 1) { int N = A.size(); vector<T> B(N + 1); FOR(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } template <typename CNT, typename T> vc<CNT> bincount(const vc<T> &A, int size) { vc<CNT> C(size); for (auto &&x: A) { ++C[x]; } return C; } // stable template <typename T> vector<int> argsort(const vector<T> &A) { vector<int> ids(A.size()); iota(all(ids), 0); sort(all(ids), [&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); }); return ids; } // A[I[0]], A[I[1]], ... template <typename T> vc<T> rearrange(const vc<T> &A, const vc<int> &I) { int n = len(I); vc<T> B(n); FOR(i, n) B[i] = A[I[i]]; return B; } #line 1 "library/other/io.hpp" // based on yosupo's fastio #include <unistd.h> namespace detail { template <typename T, decltype(&T::is_modint) = &T::is_modint> std::true_type check_value(int); template <typename T> std::false_type check_value(long); } // namespace detail template <typename T> struct is_modint : decltype(detail::check_value<T>(0)) {}; template <typename T> using is_modint_t = enable_if_t<is_modint<T>::value>; template <typename T> using is_not_modint_t = enable_if_t<!is_modint<T>::value>; struct Scanner { FILE *fp; char line[(1 << 15) + 1]; size_t st = 0, ed = 0; void reread() { memmove(line, line + st, ed - st); ed -= st; st = 0; ed += fread(line + ed, 1, (1 << 15) - ed, fp); line[ed] = '\0'; } bool succ() { while (true) { if (st == ed) { reread(); if (st == ed) return false; } while (st != ed && isspace(line[st])) st++; if (st != ed) break; } if (ed - st <= 50) { bool sep = false; for (size_t i = st; i < ed; i++) { if (isspace(line[i])) { sep = true; break; } } if (!sep) reread(); } return true; } template <class T, enable_if_t<is_same<T, string>::value, int> = 0> bool read_single(T &ref) { if (!succ()) return false; while (true) { size_t sz = 0; while (st + sz < ed && !isspace(line[st + sz])) sz++; ref.append(line + st, sz); st += sz; if (!sz || st != ed) break; reread(); } return true; } template <class T, enable_if_t<is_integral<T>::value, int> = 0> bool read_single(T &ref) { if (!succ()) return false; bool neg = false; if (line[st] == '-') { neg = true; st++; } ref = T(0); while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); } if (neg) ref = -ref; return true; } template <class T, is_modint_t<T> * = nullptr> bool read_single(T &ref) { long long val = 0; bool f = read_single(val); ref = T(val); return f; } bool read_single(double &ref) { string s; if (!read_single(s)) return false; ref = std::stod(s); return true; } bool read_single(char &ref) { string s; if (!read_single(s) || s.size() != 1) return false; ref = s[0]; return true; } template <class T> bool read_single(vector<T> &ref) { for (auto &d: ref) { if (!read_single(d)) return false; } return true; } template <class T, class U> bool read_single(pair<T, U> &p) { return (read_single(p.first) && read_single(p.second)); } template <class A, class B, class C> bool read_single(tuple<A, B, C> &p) { return (read_single(get<0>(p)) && read_single(get<1>(p)) && read_single(get<2>(p))); } template <class A, class B, class C, class D> bool read_single(tuple<A, B, C, D> &p) { return (read_single(get<0>(p)) && read_single(get<1>(p)) && read_single(get<2>(p)) && read_single(get<3>(p))); } void read() {} template <class H, class... T> void read(H &h, T &... t) { bool f = read_single(h); assert(f); read(t...); } Scanner(FILE *fp) : fp(fp) {} }; struct Printer { Printer(FILE *_fp) : fp(_fp) {} ~Printer() { flush(); } static constexpr size_t SIZE = 1 << 15; FILE *fp; char line[SIZE], small[50]; size_t pos = 0; void flush() { fwrite(line, 1, pos, fp); pos = 0; } void write(const char &val) { if (pos == SIZE) flush(); line[pos++] = val; } template <class T, enable_if_t<is_integral<T>::value, int> = 0> void write(T val) { if (pos > (1 << 15) - 50) flush(); if (val == 0) { write('0'); return; } if (val < 0) { write('-'); val = -val; // todo min } size_t len = 0; while (val) { small[len++] = char(0x30 | (val % 10)); val /= 10; } for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; } pos += len; } void write(const string &s) { for (char c: s) write(c); } void write(const char *s) { size_t len = strlen(s); for (size_t i = 0; i < len; i++) write(s[i]); } void write(const double &x) { ostringstream oss; oss << fixed << setprecision(15) << x; string s = oss.str(); write(s); } void write(const long double &x) { ostringstream oss; oss << fixed << setprecision(15) << x; string s = oss.str(); write(s); } template <class T, is_modint_t<T> * = nullptr> void write(T &ref) { write(ref.val); } template <class T> void write(const vector<T> &val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) write(' '); write(val[i]); } } template <class T, class U> void write(const pair<T, U> &val) { write(val.first); write(' '); write(val.second); } template <class A, class B, class C> void write(const tuple<A, B, C> &val) { auto &[a, b, c] = val; write(a), write(' '), write(b), write(' '), write(c); } template <class A, class B, class C, class D> void write(const tuple<A, B, C, D> &val) { auto &[a, b, c, d] = val; write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d); } template <class A, class B, class C, class D, class E> void write(const tuple<A, B, C, D, E> &val) { auto &[a, b, c, d, e] = val; write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e); } template <class A, class B, class C, class D, class E, class F> void write(const tuple<A, B, C, D, E, F> &val) { auto &[a, b, c, d, e, f] = val; write(a), write(' '), write(b), write(' '), write(c), write(' '), write(d), write(' '), write(e), write(' '), write(f); } template <class T, size_t S> void write(const array<T, S> &val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) write(' '); write(val[i]); } } void write(i128 val) { string s; bool negative = 0; if(val < 0){ negative = 1; val = -val; } while (val) { s += '0' + int(val % 10); val /= 10; } if(negative) s += "-"; reverse(all(s)); if (len(s) == 0) s = "0"; write(s); } }; Scanner scanner = Scanner(stdin); Printer printer = Printer(stdout); void flush() { printer.flush(); } void print() { printer.write('\n'); } template <class Head, class... Tail> void print(Head &&head, Tail &&... tail) { printer.write(head); if (sizeof...(Tail)) printer.write(' '); print(forward<Tail>(tail)...); } void read() {} template <class Head, class... Tail> void read(Head &head, Tail &... tail) { scanner.read(head); read(tail...); } #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector<type> name(size); \ read(name) #define VV(type, name, h, w) \ vector<vector<type>> name(h, vector<type>(w)); \ read(name) void YES(bool t = 1) { print(t ? "YES" : "NO"); } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void no(bool t = 1) { yes(!t); } #line 2 "library/alg/group_add.hpp" template <typename E> struct Group_Add { using X = E; using value_type = X; static constexpr X op(const X &x, const X &y) noexcept { return x + y; } static constexpr X inverse(const X &x) noexcept { return -x; } static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; } static constexpr X unit() { return X(0); } static constexpr bool commute = true; }; #line 2 "library/ds/waveletmatrix.hpp" // Wavelet Matrix 上でさらに累積和を管理して、 // 矩形和がとれるようにしたもの template <typename T, bool SUM_QUERY = false, typename AbelGroup = Group_Add<ll>> struct WaveletMatrix { struct BitVector { vector<u64> buf; vector<int> sum; BitVector(const vector<char>& a = {}) { int n = a.size(); buf.assign((n + 63) >> 6, 0); sum.assign(buf.size() + 1, 0); FOR(i, n) if (a[i]) { buf[i >> 6] |= 1ull << (i & 63); sum[(i >> 6) + 1]++; } FOR(i, buf.size()) sum[i + 1] += sum[i]; } int rank(int k, bool f = 1) { int ret = sum[k >> 6] + __builtin_popcountll(buf[k >> 6] & ((1ull << (k & 63)) - 1)); if (!f) return k - ret; else return ret; } }; int N, lg; vector<int> mid; vector<BitVector> bv; vector<vector<T>> cumsum; vc<T> key; WaveletMatrix(vector<T>& dat) : N(dat.size()) { key = dat; UNIQUE(key); vc<int> A(N); FOR(i, N) A[i] = LB(key, dat[i]); lg = __lg(max(MAX(A), 1)) + 1; mid.resize(lg); bv.resize(lg); cumsum.resize(lg); for (int d = lg - 1; d >= 0; d--) { vector<char> add; vector nxt(2, vector<int>()); for (auto& x: A) { add.push_back(x >> d & 1); nxt[x >> d & 1].push_back(x); } mid[d] = (int)nxt[0].size(); bv[d] = BitVector(add); swap(A, nxt[0]); A.insert(A.end(), all(nxt[1])); if (SUM_QUERY) { vc<T> cs(N + 1); cs[0] = AbelGroup::unit(); FOR(i, N) cs[i + 1] = AbelGroup::op(cs[i], key[A[i]]); cumsum[d] = cs; } } } // [L, R) 内にある [a, b) を数える int freq(int L, int R, T a, T b) { return freq_upper(L, R, b) - freq_upper(L, R, a); } int freq_upper(int L, int R, T t) { int x = LB(key, t); if (x >= (1 << lg)) return R - L; int ret = 0; for (int h = lg - 1; h >= 0; --h) { bool f = (x >> h) & 1; if (f) ret += bv[h].rank(R, 0) - bv[h].rank(L, 0); L = bv[h].rank(L, f) + (f ? mid[h] : 0); R = bv[h].rank(R, f) + (f ? mid[h] : 0); } return ret; } // [L, R) の中で k>=0 番目 T kth(int L, int R, int k) { assert(0 <= k && k < R - L); int ret = 0; for (int h = lg - 1; h >= 0; h--) { int l0 = bv[h].rank(L, 0), r0 = bv[h].rank(R, 0); if (k < r0 - l0) L = l0, R = r0; else { k -= r0 - l0; ret |= 1 << h; L += mid[h] - l0, R += mid[h] - r0; } } return key[ret]; } // [L, R) の中で小さい方から k 個の総和 T sum(int L, int R, int k) { assert(SUM_QUERY); assert(0 <= k && k <= R - L); T pos = AbelGroup::unit(), neg = AbelGroup::unit(); for (int h = lg - 1; h >= 0; h--) { int l0 = bv[h].rank(L, 0), r0 = bv[h].rank(R, 0); if (k < r0 - l0) { L = l0, R = r0; } else { k -= r0 - l0; pos = AbelGroup::op(pos, cumsum[h][r0]); neg = AbelGroup::op(neg, cumsum[h][l0]); L += mid[h] - l0, R += mid[h] - r0; } } if (k) { pos = AbelGroup::op(pos, cumsum[0][L + k]); neg = AbelGroup::op(neg, cumsum[0][L]); } return AbelGroup::op(pos, AbelGroup::inverse(neg)); } }; #line 3 "library/ds/fenwick.hpp" template <typename AbelGroup> struct FenwickTree { using E = typename AbelGroup::value_type; int n; vector<E> dat; E total; FenwickTree(int n = 0) : n(n) { assert(AbelGroup::commute); reset(n); } FenwickTree(const vector<E>& v) { assert(AbelGroup::commute); build(v); } void build(const vc<E>& v) { n = len(v); total = AbelGroup::unit(); for (int i = 0; i < n; ++i) total = AbelGroup::op(total, v[i]); dat = v; for (int i = 1; i <= n; ++i) { int j = i + (i & -i); if (j <= n) dat[j - 1] = AbelGroup::op(dat[i - 1], dat[j - 1]); } } void reset(int sz = 0) { if (sz) n = sz; total = AbelGroup::unit(); dat.assign(n, AbelGroup::unit()); } E prod(int k) { E ret = AbelGroup::unit(); for (; k > 0; k -= k & -k) ret = AbelGroup::op(ret, dat[k - 1]); return ret; } E prod(int L, int R) { E pos = AbelGroup::unit(); while (L < R) { pos = AbelGroup::op(pos, dat[R - 1]); R -= R & -R; } E neg = AbelGroup::unit(); while (R < L) { neg = AbelGroup::op(neg, dat[L - 1]); L -= L & -L; } return AbelGroup::op(pos, AbelGroup::inverse(neg)); } E prod_all() { return total; } E sum(int k) { return prod(k); } E sum(int L, int R) { return prod(L, R); } E sum_all() { return total; } void multiply(int k, E x) { total = AbelGroup::op(total, x); for (++k; k <= n; k += k & -k) dat[k - 1] = AbelGroup::op(dat[k - 1], x); } void add(int k, E x) { multiply(k, x); } template <class F> int max_right(F& check) { assert(check(E(0))); ll i = 0; E s = AbelGroup::unit(); int k = 1; int N = dat.size() + 1; while (2 * k < N) k *= 2; while (k) { if (i + k < N && check(AbelGroup::op(s, dat[i + k - 1]))) { i += k; s = AbelGroup::op(s, dat[i - 1]); } k >>= 1; } return i; } int find_kth(E k) { auto check = [&](E x) -> bool { return x <= k; }; return max_right(check); } void debug() { print("fenwick", dat); } }; #line 6 "main.cpp" void solve() { LL(N, Q); VEC(ll, A, N); auto Ac = cumsum<ll>(A); vi X = A; UNIQUE(X); for (auto&& a: A) a = LB(X, a); WaveletMatrix<ll> WM(A); VEC(pi, query, Q); for (auto&& [l, r]: query) --l; vc<int> med(Q); vi low_sum(Q), low_cnt(Q); FOR(q, Q) { auto [l, r] = query[q]; ll n = r - l; med[q] = WM.kth(l, r, n / 2); } vvc<int> QID(N); FOR(q, Q) QID[med[q]].eb(q); vvc<int> AID(N); FOR(i, N) AID[A[i]].eb(i); FenwickTree<Group_Add<ll>> bit_c(N), bit_s(N); FOR(x, N) { for (auto&& i: AID[x]) { bit_c.add(i, 1); bit_s.add(i, X[x]); } for (auto&& q: QID[x]) { auto [l, r] = query[q]; low_cnt[q] = bit_c.sum(l, r); low_sum[q] = bit_s.sum(l, r); } } FOR(q, Q) { auto [l, r] = query[q]; ll x = X[med[q]]; ll lc = low_cnt[q], ls = low_sum[q]; ll hc = r - l - lc; ll hs = Ac[r] - Ac[l] - ls; ll ANS = 0; ANS += x * lc - ls; ANS += hs - x * hc; // print(x, lc, ls, hc, hs); print(ANS); } } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << setprecision(15); ll T = 1; // LL(T); FOR(_, T) solve(); return 0; }