結果
問題 | No.2065 Sum of Min |
ユーザー | maspy |
提出日時 | 2022-12-13 09:29:46 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 154 ms / 2,000 ms |
コード長 | 20,135 bytes |
コンパイル時間 | 4,403 ms |
コンパイル使用メモリ | 255,792 KB |
実行使用メモリ | 20,328 KB |
最終ジャッジ日時 | 2024-11-07 05:18:58 |
合計ジャッジ時間 | 10,777 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
(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
5,248 KB |
testcase_01 | AC | 2 ms
5,248 KB |
testcase_02 | AC | 2 ms
5,248 KB |
testcase_03 | AC | 2 ms
5,248 KB |
testcase_04 | AC | 84 ms
20,196 KB |
testcase_05 | AC | 85 ms
20,204 KB |
testcase_06 | AC | 29 ms
7,684 KB |
testcase_07 | AC | 21 ms
6,744 KB |
testcase_08 | AC | 29 ms
6,868 KB |
testcase_09 | AC | 139 ms
20,128 KB |
testcase_10 | AC | 104 ms
20,204 KB |
testcase_11 | AC | 106 ms
20,196 KB |
testcase_12 | AC | 145 ms
20,328 KB |
testcase_13 | AC | 141 ms
20,200 KB |
testcase_14 | AC | 145 ms
20,168 KB |
testcase_15 | AC | 141 ms
20,236 KB |
testcase_16 | AC | 147 ms
20,200 KB |
testcase_17 | AC | 145 ms
20,196 KB |
testcase_18 | AC | 147 ms
20,200 KB |
testcase_19 | AC | 154 ms
20,200 KB |
testcase_20 | AC | 145 ms
20,200 KB |
testcase_21 | AC | 145 ms
20,204 KB |
ソースコード
#line 1 "main.cpp" #define PROBLEM "https://yukicoder.me/problems/no/2065" #line 1 "library/my_template.hpp" #if defined(LOCAL) #include <my_template_compiled.hpp> #else #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()), x.shrink_to_fit() 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; } #endif #line 1 "library/other/io.hpp" // based on yosupo's fastio #include <unistd.h> namespace fastio { // クラスが read(), print() を持っているかを判定するメタ関数 struct has_write_impl { template <class T> static auto check(T &&x) -> decltype(x.write(), std::true_type{}); template <class T> static auto check(...) -> std::false_type; }; template <class T> class has_write : public decltype(has_write_impl::check<T>(std::declval<T>())) { }; struct has_read_impl { template <class T> static auto check(T &&x) -> decltype(x.read(), std::true_type{}); template <class T> static auto check(...) -> std::false_type; }; template <class T> class has_read : public decltype(has_read_impl::check<T>(std::declval<T>())) {}; 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 <typename T, typename enable_if<has_read<T>::value>::type * = nullptr> inline bool read_single(T &x) { x.read(); return true; } 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 <size_t N = 0, typename T> void read_single_tuple(T &t) { if constexpr (N < std::tuple_size<T>::value) { auto &x = std::get<N>(t); read_single(x); read_single_tuple<N + 1>(t); } } template <class... T> bool read_single(tuple<T...> &tpl) { read_single_tuple(tpl); return true; } 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 <typename T, typename enable_if<has_write<T>::value>::type * = nullptr> inline void write(T x) { x.write(); } 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 <size_t N = 0, typename T> void write_tuple(const T t) { if constexpr (N < std::tuple_size<T>::value) { if constexpr (N > 0) { write(' '); } const auto x = std::get<N>(t); write(x); write_tuple<N + 1>(t); } } template <class... T> bool write(tuple<T...> tpl) { write_tuple(tpl); return true; } 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...); } } // namespace fastio using fastio::print; using fastio::flush; using fastio::read; #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 1 "library/ds/bit_vector.hpp" struct Bit_Vector { vc<pair<u32, u32>> dat; Bit_Vector(int n) { dat.assign((n + 63) >> 5, {0, 0}); } void set(int i) { dat[i >> 5].fi |= u32(1) << (i & 31); } void build() { FOR(i, len(dat) - 1) dat[i + 1].se = dat[i].se + popcnt(dat[i].fi); } // [0, k) 内の 1 の個数 int rank(int k, bool f = 1) { auto [a, b] = dat[k >> 5]; int ret = b + popcnt(a & ((u32(1) << (k & 31)) - 1)); return (f ? ret : k - ret); } }; #line 2 "library/alg/monoid/add.hpp" template <typename X> struct Monoid_Add { 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 3 "library/ds/wavelet_matrix_sum.hpp" // 座圧するかどうかを COMPRESS で指定する // xor 的な使い方をする場合には、コンストラクタで log を渡すこと template <typename T, bool COMPRESS, typename Monoid = Monoid_Add<T>> struct Wavelet_Matrix_Sum { using MX = Monoid; using X = typename MX::value_type; int N, lg; vector<int> mid; vector<Bit_Vector> bv; vc<T> key; const T INF; const bool set_log; vvc<X> cumsum; Wavelet_Matrix_Sum(vc<T> A, int log = -1) : Wavelet_Matrix_Sum([](int a) -> X { return a; }, A, log) {} template <typename FUNC> Wavelet_Matrix_Sum(FUNC F, vector<T> A, int log = -1) : N(len(A)), lg(log), INF(numeric_limits<T>::max()), set_log(log != -1) { if (COMPRESS) { assert(!set_log); key.reserve(N); vc<int> I = argsort(A); for (auto&& i: I) { if (key.empty() || key.back() != A[i]) key.eb(A[i]); A[i] = len(key) - 1; } key.shrink_to_fit(); } if (lg == -1) lg = __lg(max<ll>(MAX(A), 1)) + 1; mid.resize(lg); bv.assign(lg, Bit_Vector(N)); cumsum.assign(1 + lg, vc<X>(N + 1, MX::unit())); vc<T> A0(N), A1(N); FOR_R(d, -1, lg) { int p0 = 0, p1 = 0; FOR(i, N) { X x = F(COMPRESS ? key[A[i]] : A[i]); cumsum[d + 1][i + 1] = MX::op(cumsum[d + 1][i], x); } if (d == -1) break; FOR(i, N) { bool f = (A[i] >> d & 1); if (!f) A0[p0++] = A[i]; if (f) bv[d].set(i), A1[p1++] = A[i]; } mid[d] = p0; bv[d].build(); swap(A, A0); FOR(i, p1) A[p0 + i] = A1[i]; } } // xor した結果が [a, b) に収まるものを数える // 個数および和を返す pair<int, X> count(int L, int R, T a, T b, T xor_val = 0) { auto [c1, s1] = prefix_count(L, R, a, xor_val); auto [c2, s2] = prefix_count(L, R, b, xor_val); return {c2 - c1, MX::op(MX::inverse(s1), s2)}; } // xor した結果が [0, x) に収まるものを数える // 個数および和を返す pair<int, X> prefix_count(int L, int R, T x, T xor_val = 0) { if (xor_val != 0) assert(set_log); x = (COMPRESS ? LB(key, x) : x); if (x >= (1 << lg)) return {R - L, get(lg, L, R)}; int cnt = 0; X sm = MX::unit(); FOR_R(d, lg) { bool add = (x >> d) & 1; bool f = ((xor_val) >> d) & 1; int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0); int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0)); if (add) { cnt += kf; if (f) { sm = MX::op(sm, get(d, L + mid[d] - l0, R + mid[d] - r0)); L = l0, R = r0; } else { sm = MX::op(sm, get(d, l0, r0)); L = L + mid[d] - l0, R = R + mid[d] - r0; } } else { if (!f) L = l0, R = r0; if (f) L += mid[d] - l0, R += mid[d] - r0; } } return {cnt, sm}; } // [L, R) の中で k 番目、および、下位 k 個の和 // k = R-L のときの first は、INF を返す pair<T, X> kth(int L, int R, int k, T xor_val = 0) { if (xor_val != 0) assert(set_log); if (k == R - L) return {INF, get(lg, L, R)}; assert(0 <= k && k < R - L); T ret = 0; X sm = 0; for (int d = lg - 1; d >= 0; --d) { bool f = (xor_val >> d) & 1; int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0); int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0)); if (k < kf) { if (!f) L = l0, R = r0; if (f) L += mid[d] - l0, R += mid[d] - r0; } else { k -= kf, ret |= T(1) << d; if (f) { sm = MX::op(sm, get(d, L + mid[d] - l0, R + mid[d] - r0)); L = l0, R = r0; } else { sm = MX::op(sm, get(d, l0, r0)); L = L + mid[d] - l0, R = R + mid[d] - r0; } } } if (k) sm = MX::op(sm, get(0, L, L + k)); return {(COMPRESS ? key[ret] : ret), sm}; } // check(prefix sum) が true となる上限の最大値 template <typename F> T max_right_value(F check, int L, int R, T xor_val = 0) { assert(check(MX::unit())); if (xor_val != 0) assert(set_log); if (check(get(lg, L, R))) return INF; T ret = 0; X sm = MX::unit(); for (int d = lg - 1; d >= 0; --d) { bool f = ((xor_val) >> d) & 1; int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0); X lo_sm = (f ? get(d, L + mid[d] - l0, R + mid[d] - r0) : get(d, l0, r0)); if (check(MX::op(sm, lo_sm))) { sm = MX::op(sm, lo_sm); ret |= 1 << d; if (f) L = l0, R = r0; if (!f) L = L + mid[d] - l0, R = R + mid[d] - r0; } else { if (!f) L = l0, R = r0; if (f) L = L + mid[d] - l0, R = R + mid[d] - r0; } } return (COMPRESS ? key[ret] : ret); } // check(prefix sum) が true となる加算個数の最大値 template <typename F> int max_right_count(F check, int L, int R, T xor_val = 0) { assert(check(MX::unit())); if (xor_val != 0) assert(set_log); if (check(get(lg, L, R))) return R - L; int ret = 0; X sm = MX::unit(); for (int d = lg - 1; d >= 0; --d) { bool f = (xor_val >> d) & 1; int l0 = bv[d].rank(L, 0), r0 = bv[d].rank(R, 0); int kf = (f ? (R - L) - (r0 - l0) : (r0 - l0)); X lo_sm = (f ? get(d, L + mid[d] - l0, R + mid[d] - r0) : get(d, l0, r0)); if (check(MX::op(sm, lo_sm))) { sm = MX::op(sm, lo_sm), ret += kf; if (f) L = l0, R = r0; if (!f) L += mid[d] - l0, R += mid[d] - r0; } else { if (!f) L = l0, R = r0; if (f) L += mid[d] - l0, R += mid[d] - r0; } } ret += binary_search( [&](int k) -> bool { return check(MX::op(sm, get(0, L, L + k))); }, 0, R - L); return ret; } private: inline X get(int d, int L, int R) { return MX::op(MX::inverse(cumsum[d][L]), cumsum[d][R]); } }; #line 5 "main.cpp" void solve() { LL(N, Q); VEC(int, A, N); Wavelet_Matrix_Sum<int, true, Monoid_Add<ll>> X(A); FOR(Q) { LL(l, r, x); --l; auto [cnt, sm] = X.prefix_count(l, r, x); ll ANS = (r - l - cnt) * x + sm; print(ANS); } } signed main() { cout << fixed << setprecision(15); ll T = 1; // LL(T); FOR(T) solve(); return 0; }