#1129017 (C++23) No.3314 Library Rearrangement

提出ソース
結果

問題	No.3314 Library Rearrangement
コンテスト
ユーザー	hitonanode
提出日時	2025-10-24 23:16:14
言語	C++23 (gcc 13.3.0 + boost 1.87.0)
結果	AC
実行時間	1,287 ms / 3,000 ms
コード長	17,883 bytes
コンパイル時間	3,212 ms
コンパイル使用メモリ	251,356 KB
実行使用メモリ	13,448 KB
最終ジャッジ日時	2025-10-24 23:16:57
合計ジャッジ時間	39,314 ms
ジャッジサーバーID （参考情報）	judge1 / judge4
このコードへのチャレンジ
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ファイルパターン	結果
sample	AC * 2
other	AC * 39
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 <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

#ifndef ATCODER_INTERNAL_BITOP_HPP
#define ATCODER_INTERNAL_BITOP_HPP 1

#ifdef _MSC_VER
#include <intrin.h>
#endif

#if __cplusplus >= 202002L
#include <bit>
#endif

namespace atcoder {

namespace internal {

#if __cplusplus >= 202002L

using std::bit_ceil;

#else

// @return same with std::bit::bit_ceil
unsigned int bit_ceil(unsigned int n) {
    unsigned int x = 1;
    while (x < (unsigned int)(n)) x *= 2;
    return x;
}

#endif

// @param n `1 <= n`
// @return same with std::bit::countr_zero
int countr_zero(unsigned int n) {
#ifdef _MSC_VER
    unsigned long index;
    _BitScanForward(&index, n);
    return index;
#else
    return __builtin_ctz(n);
#endif
}

// @param n `1 <= n`
// @return same with std::bit::countr_zero
constexpr int countr_zero_constexpr(unsigned int n) {
    int x = 0;
    while (!(n & (1 << x))) x++;
    return x;
}

} // namespace internal

} // namespace atcoder

#endif // ATCODER_INTERNAL_BITOP_HPP
#ifndef ATCODER_LAZYSEGTREE_HPP
#define ATCODER_LAZYSEGTREE_HPP 1

#include <cassert>
#include <functional>
#include <vector>

// #include "atcoder/internal_bit"

namespace atcoder {

template <class S, auto op, auto e, class F, auto mapping, auto composition, auto id>
struct lazy_segtree {
    static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>,
                  "op must work as S(S, S)");
    static_assert(std::is_convertible_v<decltype(e), std::function<S()>>, "e must work as S()");
    static_assert(std::is_convertible_v<decltype(mapping), std::function<S(F, S)>>,
                  "mapping must work as S(F, S)");
    static_assert(std::is_convertible_v<decltype(composition), std::function<F(F, F)>>,
                  "composition must work as F(F, F)");
    static_assert(std::is_convertible_v<decltype(id), std::function<F()>>, "id must work as F()");

public:
    lazy_segtree() : lazy_segtree(0) {}
    explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
    explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size())) {
        size = (int)internal::bit_ceil((unsigned int)(_n));
        log = internal::countr_zero((unsigned int)size);
        d = std::vector<S>(2 * size, e());
        lz = std::vector<F>(size, id());
        for (int i = 0; i < _n; i++) d[size + i] = v[i];
        for (int i = size - 1; i >= 1; i--) { update(i); }
    }

    void set(int p, S x) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = x;
        for (int i = 1; i <= log; i++) update(p >> i);
    }

    S get(int p) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        return d[p];
    }

    S prod(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return e();

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        S sml = e(), smr = e();
        while (l < r) {
            if (l & 1) sml = op(sml, d[l++]);
            if (r & 1) smr = op(d[--r], smr);
            l >>= 1;
            r >>= 1;
        }

        return op(sml, smr);
    }

    S all_prod() { return d[1]; }

    void apply(int p, F f) {
        assert(0 <= p && p < _n);
        p += size;
        for (int i = log; i >= 1; i--) push(p >> i);
        d[p] = mapping(f, d[p]);
        for (int i = 1; i <= log; i++) update(p >> i);
    }
    void apply(int l, int r, F f) {
        assert(0 <= l && l <= r && r <= _n);
        if (l == r) return;

        l += size;
        r += size;

        for (int i = log; i >= 1; i--) {
            if (((l >> i) << i) != l) push(l >> i);
            if (((r >> i) << i) != r) push((r - 1) >> i);
        }

        {
            int l2 = l, r2 = r;
            while (l < r) {
                if (l & 1) all_apply(l++, f);
                if (r & 1) all_apply(--r, f);
                l >>= 1;
                r >>= 1;
            }
            l = l2;
            r = r2;
        }

        for (int i = 1; i <= log; i++) {
            if (((l >> i) << i) != l) update(l >> i);
            if (((r >> i) << i) != r) update((r - 1) >> i);
        }
    }

    template <bool (*g)(S)> int max_right(int l) {
        return max_right(l, [](S x) { return g(x); });
    }
    template <class G> int max_right(int l, G g) {
        assert(0 <= l && l <= _n);
        assert(g(e()));
        if (l == _n) return _n;
        l += size;
        for (int i = log; i >= 1; i--) push(l >> i);
        S sm = e();
        do {
            while (l % 2 == 0) l >>= 1;
            if (!g(op(sm, d[l]))) {
                while (l < size) {
                    push(l);
                    l = (2 * l);
                    if (g(op(sm, d[l]))) {
                        sm = op(sm, d[l]);
                        l++;
                    }
                }
                return l - size;
            }
            sm = op(sm, d[l]);
            l++;
        } while ((l & -l) != l);
        return _n;
    }

    template <bool (*g)(S)> int min_left(int r) {
        return min_left(r, [](S x) { return g(x); });
    }
    template <class G> int min_left(int r, G g) {
        assert(0 <= r && r <= _n);
        assert(g(e()));
        if (r == 0) return 0;
        r += size;
        for (int i = log; i >= 1; i--) push((r - 1) >> i);
        S sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!g(op(d[r], sm))) {
                while (r < size) {
                    push(r);
                    r = (2 * r + 1);
                    if (g(op(d[r], sm))) {
                        sm = op(d[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(d[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

protected:
    int _n, size, log;
    std::vector<S> d;
    std::vector<F> lz;

    void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
    virtual void all_apply(int k, F f) {
        d[k] = mapping(f, d[k]);
        if (k < size) lz[k] = composition(f, lz[k]);
    }
    void push(int k) {
        all_apply(2 * k, lz[k]);
        all_apply(2 * k + 1, lz[k]);
        lz[k] = id();
    }
};
} // namespace atcoder
#endif // ATCODER_LAZYSEGTREE_HPP
// Reference: https://atcoder.github.io/ac-library/production/document_ja/lazysegtree.html
//            https://betrue12.hateblo.jp/entry/2020/09/22/194541
//            https://betrue12.hateblo.jp/entry/2020/09/23/005940
/*
struct S {};
S op(S l, S r) {
    return {};
}
S e() { return {}; };
using F = bool;
S mp(F f, S x) {
    return x;
}
F composition(F fnew, F gold) { return fnew ^ gold; }
F id() { return false; }

vector<S> A;
atcoder::lazy_segtree<S, op, e, F, mp, composition, id> seg(A);
*/

struct S {
    long long sum;
    int min;
    int max;
    int sz;
};

S e() { return {0, 1 << 30, -(1 << 30), 0}; }
S op(S l, S r) { return S{l.sum + r.sum, min(l.min, r.min), max(l.max, r.max), l.sz + r.sz}; }

using F = pair<bool, int>; // update
S mp(F f, S x) {
    if (f.first and x.sz) return S{(long long)x.sz * f.second, f.second, f.second, x.sz};
    return x;
}

F composition(F f, F g) { return f.first ? f : g; }

F id() { return {false, 0}; }

#include <algorithm>
#include <iostream>

template <class S, auto op, auto e, class F, auto mapping, auto composition, auto id>
class segtree_beats : public atcoder::lazy_segtree<S, op, e, F, mapping, composition, id> {
    using Base = atcoder::lazy_segtree<S, op, e, F, mapping, composition, id>;
    using Base::lazy_segtree;
    void all_apply(int k, F f) override {
        Base::d[k] = mapping(f, Base::d[k]);
        if (k < Base::size) {
            Base::lz[k] = composition(f, Base::lz[k]);
            if (Base::d[k].fail) Base::push(k), Base::update(k);
        }
    }
};

// Verified: https://yukicoder.me/problems/no/3314
#include <algorithm>

template <typename Num, Num INF>
struct RangeChmaxRangeSum {
    // using Num = long long;
    // static constexpr Num INF = 1LL << 60;
    using F = Num;

    static Num second_lowest(Num a, Num a2, Num c, Num c2) noexcept { // a < a2, c < c2
        return a == c ? std::min(a2, c2) : a2 <= c ? a2 : c2 <= a ? c2 : std::max(a, c);
    }

    struct S {
        Num lo, lo2, sum;
        unsigned sz, nlo;
        bool fail;
        S() : lo(INF), lo2(INF), sum(0), sz(0), nlo(0), fail(false) {}
        S(Num x, unsigned sz_ = 1)
            : lo(x), lo2(INF), sum(Num(x) * sz_), sz(sz_), nlo(sz_), fail(false) {}

        static S e() { return S{}; }

        static S op(S l, S r) {
            S ret;
            ret.lo = std::min(l.lo, r.lo);
            ret.lo2 = second_lowest(l.lo, l.lo2, r.lo, r.lo2);
            ret.sum = l.sum + r.sum, ret.sz = l.sz + r.sz;
            ret.nlo = l.nlo * (l.lo <= r.lo) + r.nlo * (r.lo <= l.lo);
            return ret;
        }
    };

    static F composition(F fnew, F fold) { return std::max(fnew, fold); }

    static F id() { return -INF; }

    static S mapping(F f, S x) {
        if (x.sz == 0) return S::e();
        if (f < x.lo2) {
            Num nxt_lo = std::max(x.lo, f);
            x.sum += (nxt_lo - x.lo) * x.nlo;
            x.lo = nxt_lo;
            return x;
        }
        x.fail = 1;
        return x;
    }

    static F Chmax(Num x) { return x; }

    using segtree = segtree_beats<S, S::op, S::e, F, mapping, composition, id>;
};

using RCRS = RangeChmaxRangeSum<long long, (1LL << 60)>;

int main() {
    int N, K, Q;
    cin >> N >> K >> Q;
    vector<int> A(N);
    cin >> A;

    vector<RCRS::S> init;
    for (auto a : A) init.push_back(RCRS::S{a, 1});
    // vector<S> init;
    // for (auto a : A) init.push_back(S{a, a, a, 1});

    vector<tuple<int, int, int>> updates(K);
    for (auto &[l, r, x] : updates) cin >> l >> r >> x, --l;

    vector<tuple<int, int, lint>> query(Q);
    for (auto &[l, r, x] : query) cin >> l >> r >> x, --l;

    vector<int> ok(Q, K + 1), ng(Q, -1);

    REP(_, 16) {
        vector<vector<int>> t2qs(K + 1);
        REP(q, Q) {
            const int t = (ok.at(q) + ng.at(q)) / 2;
            t2qs.at(t).push_back(q);
        }

        RCRS::segtree tree(init);
        // atcoder::lazy_segtree<S, op, e, F, mp, composition, id> tree(init);

        REP(t, K + 1) {
            if (t) {
                auto [l, r, x] = updates.at(t - 1);
                tree.apply(l, r, RCRS::Chmax(x));
                // for (int i = l; i < r;) {
                //     i = tree.max_right(i, [&](S prod) { return prod.min >= x; });
                //     if (i >= r) break;
                //     int j = tree.max_right(i, [&](S prod) { return prod.max <= x; });
                //     chmin(j, r);
                //     tree.apply(i, j, {true, x});
                //     i = j;
                // }
            }

            for (int q : t2qs.at(t)) {
                auto [l, r, x] = query.at(q);
                auto p = tree.prod(l, r);
                (p.sum >= x ? ok : ng).at(q) = t;
            }
        }
    }

    for (auto t : ok) {
        if (t == K + 1) t = -1;
        cout << t << '\n';
    }
}