#847553 (C++23) No.2242 Cities and Teleporters

提出ソース

結果

問題	No.2242 Cities and Teleporters
ユーザー	👑 hitonanode
提出日時	2023-03-10 21:41:35
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	471 ms / 3,000 ms
コード長	9,163 bytes
コンパイル時間	2,215 ms
コンパイル使用メモリ	189,184 KB
実行使用メモリ	39,248 KB
最終ジャッジ日時	2023-10-18 07:27:01
合計ジャッジ時間	12,888 ms
ジャッジサーバーID （参考情報）	judge12 / judge15

このコードへのチャレンジ
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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 4,348 KB
testcase_01	AC	2 ms 4,348 KB
testcase_02	AC	2 ms 4,348 KB
testcase_03	AC	1 ms 4,348 KB
testcase_04	AC	2 ms 4,348 KB
testcase_05	AC	348 ms 22,088 KB
testcase_06	AC	316 ms 22,088 KB
testcase_07	AC	330 ms 22,088 KB
testcase_08	AC	429 ms 22,088 KB
testcase_09	AC	300 ms 22,088 KB
testcase_10	AC	232 ms 39,248 KB
testcase_11	AC	289 ms 39,248 KB
testcase_12	AC	287 ms 39,248 KB
testcase_13	AC	310 ms 39,248 KB
testcase_14	AC	363 ms 39,248 KB
testcase_15	AC	306 ms 39,248 KB
testcase_16	AC	356 ms 39,248 KB
testcase_17	AC	459 ms 39,248 KB
testcase_18	AC	303 ms 38,676 KB
testcase_19	AC	463 ms 38,660 KB
testcase_20	AC	295 ms 37,524 KB
testcase_21	AC	287 ms 37,804 KB
testcase_22	AC	452 ms 37,524 KB
testcase_23	AC	470 ms 39,248 KB
testcase_24	AC	464 ms 39,248 KB
testcase_25	AC	471 ms 39,248 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#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 <numeric>
#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>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif

// Binary lifting / `Doubling`
// Complexity: O(NlogN) precalculation / O(logN) per query
// <https://atcoder.jp/contests/arc060/submissions/7039451>
struct BinaryLifting {
    int N, INVALID, lgD;
    std::vector<std::vector<int>> mat;
    BinaryLifting() : N(0), lgD(0) {}
    BinaryLifting(const std::vector<int> &vec_nxt, int INVALID = -1, int lgd = 0)
        : N(vec_nxt.size()), INVALID(INVALID), lgD(lgd) {
        while ((1LL << lgD) < N) lgD++;
        mat.assign(lgD, std::vector<int>(N, INVALID));
        mat[0] = vec_nxt;
        for (int i = 0; i < N; i++)
            if (mat[0][i] < 0 or mat[0][i] >= N) mat[0][i] = INVALID;
        for (int d = 0; d < lgD - 1; d++) {
            for (int i = 0; i < N; i++)
                if (mat[d][i] != INVALID) mat[d + 1][i] = mat[d][mat[d][i]];
        }
    }
    int kth_next(int now, long long k) {
        if (k >= (1LL << lgD)) exit(8);
        for (int d = 0; k and now != INVALID; d++, k >>= 1)
            if (k & 1) now = mat[d][now];
        return now;
    }

    // Distance from l to [r, \infty)
    // Requirement: mat[0][i] > i for all i (monotone increasing)
    int distance(int l, int r) {
        if (l >= r) return 0;
        int ret = 0;
        for (int d = lgD - 1; d >= 0; d--) {
            if (mat[d][l] < r and mat[d][l] != INVALID) ret += 1 << d, l = mat[d][l];
        }
        if (mat[0][l] == INVALID or mat[0][l] >= r)
            return ret + 1;
        else
            return -1; // Unable to reach
    }
};


int main() {
    int N;
    cin >> N;
    vector<int> H(N), T(N);
    cin >> H >> T;
    auto z = H;
    z.insert(z.end(), ALL(T));
    z = sort_unique(z);
    for (auto &x : H) x = arglb(z, x);
    for (auto &x : T) x = arglb(z, x);
    dbg(make_tuple(H, T));

    const int sz = z.size();
    vector<int> to(sz);
    REP(i, sz) to.at(i) = i;
    REP(i, N) {
        chmax(to.at(H.at(i)), T.at(i));
    }
    FOR(i, 1, sz) chmax(to.at(i), to.at(i - 1));

    BinaryLifting bl(to);

    int Q;
    cin >> Q;
    while (Q--) {
        int a, b;
        cin >> a >> b;
        --a, --b;
        int h1 = T.at(a);
        int hgoal = H.at(b);
        auto ret = bl.distance(h1, hgoal);
        if (ret >= 0) {
            ++ret;
        }
        cout << ret << '\n';
    }
}

yukicoder

結果

テストケース

ソースコード