#959002 (C++23) No.2667 Constrained Permutation

提出ソース

結果

問題	No.2667 Constrained Permutation
ユーザー	👑 hitonanode
提出日時	2024-03-09 09:46:58
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	449 ms / 2,000 ms
コード長	8,959 bytes
コンパイル時間	3,089 ms
コンパイル使用メモリ	198,732 KB
実行使用メモリ	16,452 KB
最終ジャッジ日時	2024-03-09 09:47:08
合計ジャッジ時間	9,687 ms
ジャッジサーバーID （参考情報）	judge12 / judge15

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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	1 ms 6,676 KB
testcase_01	AC	2 ms 6,676 KB
testcase_02	AC	2 ms 6,676 KB
testcase_03	AC	2 ms 6,676 KB
testcase_04	AC	3 ms 6,676 KB
testcase_05	AC	3 ms 6,676 KB
testcase_06	AC	3 ms 6,676 KB
testcase_07	AC	2 ms 6,676 KB
testcase_08	AC	4 ms 6,676 KB
testcase_09	AC	3 ms 6,676 KB
testcase_10	AC	2 ms 6,676 KB
testcase_11	AC	2 ms 6,676 KB
testcase_12	AC	94 ms 7,168 KB
testcase_13	AC	3 ms 6,676 KB
testcase_14	AC	225 ms 14,496 KB
testcase_15	AC	102 ms 13,052 KB
testcase_16	AC	96 ms 10,112 KB
testcase_17	AC	25 ms 6,676 KB
testcase_18	AC	247 ms 15,216 KB
testcase_19	AC	449 ms 15,808 KB
testcase_20	AC	409 ms 15,620 KB
testcase_21	AC	151 ms 16,052 KB
testcase_22	AC	178 ms 15,924 KB
testcase_23	AC	186 ms 15,924 KB
testcase_24	AC	87 ms 9,236 KB
testcase_25	AC	171 ms 13,384 KB
testcase_26	AC	217 ms 15,804 KB
testcase_27	AC	194 ms 14,572 KB
testcase_28	AC	51 ms 9,060 KB
testcase_29	AC	49 ms 8,756 KB
testcase_30	AC	55 ms 9,508 KB
testcase_31	AC	34 ms 7,040 KB
testcase_32	AC	8 ms 6,676 KB
testcase_33	AC	104 ms 15,308 KB
testcase_34	AC	56 ms 9,984 KB
testcase_35	AC	66 ms 11,008 KB
testcase_36	AC	63 ms 10,496 KB
testcase_37	AC	70 ms 11,520 KB
testcase_38	AC	202 ms 12,048 KB
testcase_39	AC	4 ms 6,676 KB
testcase_40	AC	58 ms 9,424 KB
testcase_41	AC	91 ms 13,044 KB
testcase_42	AC	113 ms 12,580 KB
testcase_43	AC	190 ms 16,452 KB
testcase_44	AC	169 ms 8,972 KB
testcase_45	AC	6 ms 6,676 KB

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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 <memory>
#include <numeric>
#include <optional>
#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> 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

constexpr lint inf = 1LL << 40;
int main() {
    int N;
    cin >> N;
    vector<plint> LR(N);
    for (auto &[l, r] : LR) {
        cin >> l >> r;
    }
    sort(ALL(LR));
    dbg(LR);
    lint all_l_max = -inf, all_r_min = inf;
    for (auto [l, r] : LR) {
        chmax(all_l_max, l);
        chmin(all_r_min, r);
    }

    auto find_feasible = [&]() -> lint {
        if (all_l_max - (N - 1) > all_r_min) return 0;

        if (all_l_max + N - 1 <= all_r_min) return all_l_max;

        const lint L = all_l_max - (N - 1);
        const lint R = all_r_min + (N - 1);

        vector<vector<int>> dp(R - L + 1);
        for (auto [l, r] : LR) {
            lint left = max(l, L) - L, right = min(r, R) - L;
            dp.at(left).push_back(right);
        }
        vector<int> L2Rs(dp.size(), -1);
        priority_queue<int, vector<int>, greater<int>> pq;
        int last_pop = -1;
        REP(i, dp.size()) {
            for (auto r : dp.at(i)) pq.push(r);
            if (pq.size()) {
                L2Rs.at(i) = pq.top();
                pq.pop();
                last_pop = i;
            }
        }
        dbg(make_tuple(L, R));
        dbg(L2Rs);

        return L + last_pop - (N - 1);
    };

    auto check = [&](lint mid) -> bool {
        // [mid, mid + 1, ..., mid + N - 1]
        vector<vector<int>> dp(N);

        for (auto [l, r] : LR) {
            lint left = max(l, mid) - mid, right = min(r, mid + N - 1) - mid;
            if (left <= right) dp.at(left).push_back(right);
        }
        dbg(mid);
        dbg(dp);

        priority_queue<int, vector<int>, greater<int>> pq;
        REP(i, N) {
            for (auto r : dp.at(i)) pq.push(r);
            while (pq.size() and pq.top() < i) pq.pop();
            if (pq.empty()) return false;
            pq.pop();
        }

        return true;
    };

    auto binsearch = [&](lint ok, lint ng) -> lint {
        while (abs(ok - ng) > 1) {
            const lint mid = floor_div(ok + ng, 2);
            (check(mid) ? ok : ng) = mid;
        }
        return ok;
    };

    const lint feasible = find_feasible();
    dbg(feasible);
    dbg(check(feasible));

    if (!check(feasible)) {
        puts("0");
        exit(0);
    }

    lint lo = binsearch(feasible, all_l_max - N);
    lint hi = binsearch(feasible, all_r_min + 1);

    cout << abs(hi - lo) + 1 << '\n';
}

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結果

テストケース

ソースコード