結果
問題 | No.1332 Range Nearest Query |
ユーザー | maspy |
提出日時 | 2022-05-01 16:02:38 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 287 ms / 2,500 ms |
コード長 | 18,119 bytes |
コンパイル時間 | 4,491 ms |
コンパイル使用メモリ | 323,636 KB |
実行使用メモリ | 12,580 KB |
最終ジャッジ日時 | 2024-06-30 18:08:50 |
合計ジャッジ時間 | 18,663 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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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
6,816 KB |
testcase_02 | AC | 2 ms
6,944 KB |
testcase_03 | AC | 271 ms
11,392 KB |
testcase_04 | AC | 271 ms
11,392 KB |
testcase_05 | AC | 271 ms
11,264 KB |
testcase_06 | AC | 143 ms
12,544 KB |
testcase_07 | AC | 143 ms
12,416 KB |
testcase_08 | AC | 144 ms
12,544 KB |
testcase_09 | AC | 143 ms
12,544 KB |
testcase_10 | AC | 143 ms
12,544 KB |
testcase_11 | AC | 143 ms
12,416 KB |
testcase_12 | AC | 143 ms
12,544 KB |
testcase_13 | AC | 145 ms
12,416 KB |
testcase_14 | AC | 141 ms
12,416 KB |
testcase_15 | AC | 143 ms
12,524 KB |
testcase_16 | AC | 287 ms
12,416 KB |
testcase_17 | AC | 285 ms
12,544 KB |
testcase_18 | AC | 286 ms
12,544 KB |
testcase_19 | AC | 284 ms
12,544 KB |
testcase_20 | AC | 287 ms
12,544 KB |
testcase_21 | AC | 283 ms
12,544 KB |
testcase_22 | AC | 282 ms
12,580 KB |
testcase_23 | AC | 284 ms
12,544 KB |
testcase_24 | AC | 285 ms
12,544 KB |
testcase_25 | AC | 284 ms
12,524 KB |
testcase_26 | AC | 118 ms
12,480 KB |
testcase_27 | AC | 105 ms
12,544 KB |
testcase_28 | AC | 13 ms
5,376 KB |
testcase_29 | AC | 16 ms
5,376 KB |
testcase_30 | AC | 16 ms
5,376 KB |
testcase_31 | AC | 10 ms
5,376 KB |
testcase_32 | AC | 18 ms
5,376 KB |
testcase_33 | AC | 17 ms
5,376 KB |
testcase_34 | AC | 11 ms
5,376 KB |
testcase_35 | AC | 13 ms
5,376 KB |
testcase_36 | AC | 13 ms
5,376 KB |
testcase_37 | AC | 16 ms
5,376 KB |
testcase_38 | AC | 185 ms
7,808 KB |
testcase_39 | AC | 82 ms
5,376 KB |
testcase_40 | AC | 280 ms
12,416 KB |
testcase_41 | AC | 114 ms
5,376 KB |
testcase_42 | AC | 179 ms
7,680 KB |
testcase_43 | AC | 138 ms
6,144 KB |
testcase_44 | AC | 233 ms
10,240 KB |
testcase_45 | AC | 215 ms
9,472 KB |
testcase_46 | AC | 166 ms
7,296 KB |
testcase_47 | AC | 198 ms
8,704 KB |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp" #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__)))) #define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_)) #define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i)) #define FOR3(i, m, n) for (ll i = (m); (i) < (ll)(n); ++(i)) #define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i)) #define FOR3_R(i, m, n) for (ll i = (ll)(n)-1; (i) >= (ll)(m); --(i)) #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> T SUM(vector<T> &A) { T sum = T(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, 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}; } ll binary_search(function<bool(ll)> check, ll ok, ll ng) { assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; if (check(x)) ok = x; else ng = x; } return ok; } 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); } vi s_to_vi(const string& S, char first_char) { vi A(S.size()); FOR(i, S.size()) { A[i] = S[i] - first_char; } return A; } template <typename T> vector<T> cumsum(vector<T> &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; } template <typename T> vector<int> argsort(const vector<T> &A) { // stable 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(A); assert(len(I) == n); vc<T> B(n); FOR(i, n) B[i] = A[I[i]]; return B; } #line 1 "/home/maspy/compro/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 << setprecision(15) << x; string s = oss.str(); write(s); } void write(const long double &x) { ostringstream oss; oss << 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 "/home/maspy/compro/library/alg/group_add.hpp" template <class X> struct Group_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 n * x; } static constexpr X unit() { return X(0); } static constexpr bool commute = true; }; #line 3 "/home/maspy/compro/library/ds/fenwick.hpp" template <typename AbelGroup> struct FenwickTree { using E = typename AbelGroup::value_type; int n; vector<E> dat; E total; FenwickTree() : FenwickTree(0) {} FenwickTree(int n) : n(n), total(AbelGroup::unit()) { assert(AbelGroup::commute); dat.assign(n, AbelGroup::unit()); } FenwickTree(vc<E> v) : n(len(v)), total(AbelGroup::unit()) { assert(AbelGroup::commute); FOR(i, n) total = AbelGroup::op(total, v[i]); dat = v; FOR3(i, 1, n + 1) { int j = i + (i & -i); if (j <= n) dat[j - 1] = AbelGroup::op(dat[i - 1], dat[j - 1]); } } void reset(){ total = AbelGroup::unit(); dat.assign(n, AbelGroup::unit()); } E sum(int k) { E ret = AbelGroup::unit(); for (; k > 0; k -= k & -k) ret = AbelGroup::op(ret, dat[k - 1]); return ret; } E sum(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 sum_all() { return total; } void add(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); } template <class F> int max_right(F& check) { assert(check(E(0))); ll i = 0; E s = AbelGroup::unit(); int k = 1; int N = len(dat) + 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 1 "/home/maspy/compro/library/ds/waveletmatrix.hpp" #include <immintrin.h> struct bit_vector { using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; static constexpr u32 w = 64; vector<u64> block; vector<u32> count; u32 n, zeros; inline u32 get(u32 i) const { return u32(block[i / w] >> (i % w)) & 1u; } inline void set(u32 i) { block[i / w] |= 1LL << (i % w); } bit_vector() {} bit_vector(int _n) { init(_n); } __attribute__((optimize("O3", "unroll-loops"))) void init(int _n) { n = zeros = _n; block.resize(n / w + 1, 0); count.resize(block.size(), 0); } __attribute__((target("popcnt"))) void build() { for (u32 i = 1; i < block.size(); ++i) count[i] = count[i - 1] + _mm_popcnt_u64(block[i - 1]); zeros = rank0(n); } inline u32 rank0(u32 i) const { return i - rank1(i); } __attribute__((target("bmi2,popcnt"))) inline u32 rank1(u32 i) const { return count[i / w] + _mm_popcnt_u64(_bzhi_u64(block[i / w], i % w)); } }; /* コンストラクタ:vector<T> を渡す 静的な列に対して次が O(log N) 時間で行える ・freq(l, r, lower, upper):[lower, upper) 内の要素の数え上げ ・kth(l, r, lower, upper):[lower, upper) 内をソートしたときの k 番目 */ template <typename T> struct WaveletMatrix { using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; int n, lg; vc<T> key; vc<int> A; vector<bit_vector> bv; __attribute__((optimize("O3"))) WaveletMatrix(const vc<T>& dat) : n(len(dat)) { key = dat; UNIQUE(key); A.resize(n); FOR(i, n) A[i] = LB(key, dat[i]); lg = __lg(max(MAX(A), 1)) + 1; bv.assign(lg, n); vc<int> cur = A, nxt(n); for (int h = lg - 1; h >= 0; --h) { for (int i = 0; i < n; ++i) if ((cur[i] >> h) & 1) bv[h].set(i); bv[h].build(); array<decltype(begin(nxt)), 2> it{begin(nxt), begin(nxt) + bv[h].zeros}; for (int i = 0; i < n; ++i) *it[bv[h].get(i)]++ = cur[i]; swap(cur, nxt); } } inline pair<u32, u32> succ0(int l, int r, int h) const { return make_pair(bv[h].rank0(l), bv[h].rank0(r)); } inline pair<u32, u32> succ1(int l, int r, int h) const { u32 l0 = bv[h].rank0(l); u32 r0 = bv[h].rank0(r); u32 zeros = bv[h].zeros; return make_pair(l + zeros - l0, r + zeros - r0); } T kth(u32 l, u32 r, u32 k) const { int res = 0; for (int h = lg - 1; h >= 0; --h) { u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r); if (k < r0 - l0) l = l0, r = r0; else { k -= r0 - l0; res |= 1 << h; l += bv[h].zeros - l0; r += bv[h].zeros - r0; } } return key[res]; } int freq(int l, int r, T lower, T upper) { return freq_upper(l, r, upper) - freq_upper(l, r, lower); } private: int freq_upper(int l, int r, T upper_t) { int upper = LB(key, upper_t); if (upper >= (1 << lg)) return r - l; int ret = 0; for (int h = lg - 1; h >= 0; --h) { bool f = (upper >> h) & 1; u32 l0 = bv[h].rank0(l), r0 = bv[h].rank0(r); if (f) { ret += r0 - l0; l += bv[h].zeros - l0; r += bv[h].zeros - r0; } else { l = l0; r = r0; } } return ret; } }; #line 5 "main.cpp" void solve() { LL(N); VEC(ll, X, N); WaveletMatrix<ll> WM(X); const ll INF = 1LL << 60; LL(Q); FOR_(Q) { LL(l, r, x); --l; ll ANS = INF; ll n = WM.freq(l, r, 0, x); if (n > 0) chmin(ANS, abs(x - WM.kth(l, r, n - 1))); if (n < r - l) chmin(ANS, abs(x - WM.kth(l, r, n))); 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; }