#896450 (C++17) No.2395 区間二次変換一点取得

• 問題: No.2395 区間二次変換一点取得
• ユーザー: tomo0608
• 提出日時: 2023-07-29 00:57:47
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 99 ms / 2,000 ms
• コード長: 16,271 bytes
• コンパイル時間: 3,192 ms
• コンパイル使用メモリ: 212,996 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-04-16 08:46:14
• 合計ジャッジ時間: 5,797 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

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; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	AC	2 ms; 5,376 KB
testcase_11	AC	3 ms; 5,376 KB
testcase_12	AC	11 ms; 5,376 KB
testcase_13	AC	95 ms; 5,376 KB
testcase_14	AC	99 ms; 5,376 KB
testcase_15	AC	95 ms; 5,376 KB
testcase_16	AC	95 ms; 5,376 KB
testcase_17	AC	96 ms; 5,376 KB
testcase_18	AC	82 ms; 5,376 KB
testcase_19	AC	82 ms; 5,376 KB

ソースコード

#pragma region competitive_programming
#ifdef __LOCAL
#define _GLIBCXX_DEBUG
#endif
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>

//#include<atcoder/dsu>
//#include "Rollback_dsu.hpp"
//#include "Partial_Persistent_DSU.hpp"


#include <algorithm>
#include <cassert>
#include <tuple>
#include <vector>


#include <utility>

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

namespace atcoder {

    namespace internal {

        constexpr long long safe_mod(long long x, long long m) {
            x %= m;
            if (x < 0) x += m;
            return x;
        }

        struct barrett {
            unsigned int _m;
            unsigned long long im;

            explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}

            unsigned int umod() const { return _m; }

            unsigned int mul(unsigned int a, unsigned int b) const {

                unsigned long long z = a;
                z *= b;
#ifdef _MSC_VER
                unsigned long long x;
                _umul128(z, im, &x);
#else
                unsigned long long x =
                    (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
                unsigned int v = (unsigned int)(z - x * _m);
                if (_m <= v) v += _m;
                return v;
            }
        };

        constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
            if (m == 1) return 0;
            unsigned int _m = (unsigned int)(m);
            unsigned long long r = 1;
            unsigned long long y = safe_mod(x, m);
            while (n) {
                if (n & 1) r = (r * y) % _m;
                y = (y * y) % _m;
                n >>= 1;
            }
            return r;
        }

        constexpr bool is_prime_constexpr(int n) {
            if (n <= 1) return false;
            if (n == 2 || n == 7 || n == 61) return true;
            if (n % 2 == 0) return false;
            long long d = n - 1;
            while (d % 2 == 0) d /= 2;
            constexpr long long bases[3] = { 2, 7, 61 };
            for (long long a : bases) {
                long long t = d;
                long long y = pow_mod_constexpr(a, t, n);
                while (t != n - 1 && y != 1 && y != n - 1) {
                    y = y * y % n;
                    t <<= 1;
                }
                if (y != n - 1 && t % 2 == 0) {
                    return false;
                }
            }
            return true;
        }
        template <int n> constexpr bool is_prime = is_prime_constexpr(n);

        constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
            a = safe_mod(a, b);
            if (a == 0) return { b, 0 };

            long long s = b, t = a;
            long long m0 = 0, m1 = 1;

            while (t) {
                long long u = s / t;
                s -= t * u;
                m0 -= m1 * u;  // |m1 * u| <= |m1| * s <= b


                auto tmp = s;
                s = t;
                t = tmp;
                tmp = m0;
                m0 = m1;
                m1 = tmp;
            }
            if (m0 < 0) m0 += b / s;
            return { s, m0 };
        }

        constexpr int primitive_root_constexpr(int m) {
            if (m == 2) return 1;
            if (m == 167772161) return 3;
            if (m == 469762049) return 3;
            if (m == 754974721) return 11;
            if (m == 998244353) return 3;
            int divs[20] = {};
            divs[0] = 2;
            int cnt = 1;
            int x = (m - 1) / 2;
            while (x % 2 == 0) x /= 2;
            for (int i = 3; (long long)(i)*i <= x; i += 2) {
                if (x % i == 0) {
                    divs[cnt++] = i;
                    while (x % i == 0) {
                        x /= i;
                    }
                }
            }
            if (x > 1) {
                divs[cnt++] = x;
            }
            for (int g = 2;; g++) {
                bool ok = true;
                for (int i = 0; i < cnt; i++) {
                    if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
                        ok = false;
                        break;
                    }
                }
                if (ok) return g;
            }
        }
        template <int m> constexpr int primitive_root = primitive_root_constexpr(m);

        unsigned long long floor_sum_unsigned(unsigned long long n,
            unsigned long long m,
            unsigned long long a,
            unsigned long long b) {
            unsigned long long ans = 0;
            while (true) {
                if (a >= m) {
                    ans += n * (n - 1) / 2 * (a / m);
                    a %= m;
                }
                if (b >= m) {
                    ans += n * (b / m);
                    b %= m;
                }

                unsigned long long y_max = a * n + b;
                if (y_max < m) break;
                n = (unsigned long long)(y_max / m);
                b = (unsigned long long)(y_max % m);
                std::swap(m, a);
            }
            return ans;
        }

    }  // namespace internal

}  // namespace atcoder


namespace atcoder {

    long long pow_mod(long long x, long long n, int m) {
        assert(0 <= n && 1 <= m);
        if (m == 1) return 0;
        internal::barrett bt((unsigned int)(m));
        unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
        while (n) {
            if (n & 1) r = bt.mul(r, y);
            y = bt.mul(y, y);
            n >>= 1;
        }
        return r;
    }

    long long inv_mod(long long x, long long m) {
        assert(1 <= m);
        auto z = internal::inv_gcd(x, m);
        assert(z.first == 1);
        return z.second;
    }

    std::pair<long long, long long> crt(const std::vector<long long>& r,
        const std::vector<long long>& m) {
        assert(r.size() == m.size());
        int n = int(r.size());
        long long r0 = 0, m0 = 1;
        for (int i = 0; i < n; i++) {
            assert(1 <= m[i]);
            long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
            if (m0 < m1) {
                std::swap(r0, r1);
                std::swap(m0, m1);
            }
            if (m0 % m1 == 0) {
                if (r0 % m1 != r1) return { 0, 0 };
                continue;
            }


            long long g, im;
            std::tie(g, im) = internal::inv_gcd(m0, m1);

            long long u1 = (m1 / g);
            if ((r1 - r0) % g) return { 0, 0 };

            long long x = (r1 - r0) / g % u1 * im % u1;

            r0 += x * m0;
            m0 *= u1;  // -> lcm(m0, m1)
            if (r0 < 0) r0 += m0;
        }
        return { r0, m0 };
    }

    long long floor_sum(long long n, long long m, long long a, long long b) {
        assert(0 <= n && n < (1LL << 32));
        assert(1 <= m && m < (1LL << 32));
        unsigned long long ans = 0;
        if (a < 0) {
            unsigned long long a2 = internal::safe_mod(a, m);
            ans -= 1ULL * n * (n - 1) / 2 * ((a2 - a) / m);
            a = a2;
        }
        if (b < 0) {
            unsigned long long b2 = internal::safe_mod(b, m);
            ans -= 1ULL * n * ((b2 - b) / m);
            b = b2;
        }
        return ans + internal::floor_sum_unsigned(n, m, a, b);
    }

}  // namespace atcoder


//#include "modint_plus.hpp"
//typedef atcoder::modint1000000007 mint;
//typedef atcoder::modint998244353 mint;
//#include "Matrix.hpp"

//#include<atcoder/convolution>
//#include "Formal_Power_Series.hpp"
//#include "Bit_Convolution.hpp"

//#include<atcoder/maxflow>
//#include<atcoder/mincostflow>
//#include "Primal_Dual.hpp"
//#include "maxflow_mincap.hpp"

//#include<atcoder/fenwicktree>
//#include<atcoder/segtree>
//#include<atcoder/lazysegtree>
//#include "2D_Segment_Tree.hpp"
//#include "DisjointSparseTable.hpp"
//#include "SWAG.hpp"
//#include "Mo_algorithm.hpp"

//#include "Heavy_Light_Decomposition.hpp"
//#include "Binary_Trie.hpp"
//#include "LCT.hpp"
//#include "Slope_Trick.hpp"
//#include<atcoder/string>
//#include<atcoder/scc>



namespace tomo0608 {
    typedef long long ll;
    typedef long double ld;
    template <class T> using V = std::vector<T>;
    template <class T> using VV = V<V<T>>;
    template <class T> using VVV = V<VV<T>>;
    typedef std::pair<int, int> pii;
    typedef std::pair<long long, long long> pll;
    template<class... T>void input(T&... a) { (std::cin >> ... >> a); };

#define INT(...) int __VA_ARGS__; IN(__VA_ARGS__)
#define LL(...) long long __VA_ARGS__; IN(__VA_ARGS__)
#define STR(...) string __VA_ARGS__; IN(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__; IN(__VA_ARGS__)
#define VEC(type, name, size) std::vector<type> name(size);IN(name)
#define VECVEC(type, name, h, w) std::vector<std::vector<type>> name(h, std::vector<type>(w));IN(name)
    template<class T1, class T2> std::istream& operator>>(std::istream& is, std::pair<T1, T2>& p) { is >> p.first >> p.second; return is; }
    template<class T1, class T2> std::ostream& operator<<(std::ostream& os, const std::pair<T1, T2>& p) { os << '(' << p.first << ", " << p.second << ')'; return os; }
    template<class T> std::istream& operator>>(std::istream& is, std::vector<T>& v) { for (auto& e : v) is >> e; return is; }
    template<class T> std::ostream& operator<<(std::ostream& os, const std::vector<T>& v) { for (auto& e : v) os << e << ' '; return os; }
    template<typename T> std::ostream& operator << (std::ostream& os, std::set<T>& set_var) { os << "{"; for (auto itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr;++itr;if (itr != set_var.end()) os << ", ";itr--; }os << "}";return os; }
    template <typename T, typename U> std::ostream& operator<<(std::ostream& os, std::map<T, U>& map_var) { os << "{";for (auto itr = map_var.begin(); itr != map_var.end(); itr++) { os << *itr;itr++;if (itr != map_var.end()) os << ", ";itr--; }os << "}";return os; }

    void IN() {}
    template <class Head, class... Tail> void IN(Head& head, Tail &...tail) {
        std::cin >> head;
        IN(tail...);
    }
    void print() { std::cout << '\n'; }
    template<class T, class... Ts>void print(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n'; }
    void drop() { std::cout << '\n';exit(0); }
    template<class T, class... Ts>void drop(const T& a, const Ts&... b) { std::cout << a; (std::cout << ... << (std::cout << ' ', b)); std::cout << '\n';exit(0); }
#ifdef __LOCAL
    void debug_out() { std::cerr << std::endl; }
    template < class Head, class... Tail> void debug_out(Head H, Tail... T) { std::cerr << ' ' << H; debug_out(T...); }
#define debug(...) std::cerr << 'L' << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) std::cerr << 'L' << __LINE__ << " " << #x << " = " << (x) << std::endl
#else
#define debug(...) (void(0))
#define dump(x) (void(0))
#endif


#define rep1(a)          for(long long i = 0; i < a; i++)
#define rep2(i, a)       for(long long i = 0; i < a; i++)
#define rep3(i, a, b)    for(long long i = a; i < b; i++)
#define rep4(i, a, b, c) for(long long i = a; i < b; i += c)
#define drep1(a)          for(long long i = a-1; i >= 0; i--)
#define drep2(i, a)       for(long long i = a-1; i >= 0; i--)
#define drep3(i, a, b)    for(long long i = a-1; i >= b; i--)
#define drep4(i, a, b, c) for(long long i = a-1; i >= b; i -= c)
#define overload4(a, b, c, d, e, ...) e
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define drep(...) overload4(__VA_ARGS__, drep4, drep3, drep2, drep1)(__VA_ARGS__)
#define endl '\n'
} // namespace tomo0608

namespace tomo0608 {
#define ALL(x) x.begin(),x.end()
    template <class T = long long, class S> T SUM(const S& v) { return accumulate(ALL(v), T(0)); }
#define MIN(v) *min_element(ALL(v))
#define MAX(v) *max_element(ALL(v))
#define SORT(v) sort(ALL(v))
#define REVERSE(v) reverse(ALL(v))
#define RSORT(v) sort(ALL(v)); reverse(ALL(v))
#define UNIQUE(x) SORT(x), x.erase(unique(ALL(x)), x.end())
#define lb(c, x) distance((c).begin(), lower_bound(ALL(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(ALL(c), (x)))
    template <typename T> void zip(std::vector<T>& x) { std::vector<T> y = x;UNIQUE(y);for (int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); } }
    template<class T> using priority_queue_rev = std::priority_queue<T, std::vector<T>, std::greater<T>>;
    template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return 1; } return 0; }
    template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return 1; } return 0; }
    template<class T> inline int count_between(std::vector<T>& a, T l, T r) { return lower_bound(ALL(a), r) - lower_bound(ALL(a), l); } // [l, r)
#define bittest(n, k) (((n) >> k) & 1)
    int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
    int topbit(long long t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
    int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
    int lowbit(long long a) { return a == 0 ? 64 : __builtin_ctzll(a); }
#define perm(v) for(bool permrepflag = true; (permrepflag ? exchange(permrepflag, false) : next_permutation(ALL(v)));)
    template <typename T, typename S> T ceil(T x, S y) {
        assert(y);
        return (y < 0 ? ceil(-x, -y) : (x > 0 ? (x + y - 1) / y : x / y));
    }

    template <typename T, typename S> T floor(T x, S y) {
        assert(y);
        return (y < 0 ? floor(-x, -y) : (x > 0 ? x / y : x / y - (x % y == 0 ? 0 : 1)));
    }
}
using namespace atcoder;
using namespace std;
using namespace tomo0608;
int dx[8] = { 1, 0, -1, 0, 1, 1, -1, -1 };
int dy[8] = { 0, 1, 0, -1, 1, -1, -1, 1 };



// インタラクティブ問題のときは出力するたびにcout.flush();を忘れない!!!!!

void solve();
int main() {
    std::cin.tie(0);
    std::ios_base::sync_with_stdio(false);
    std::cout << std::setprecision(20);
    int codeforces = 1;
    //cin >> codeforces;
    while (codeforces--) {
        solve();
    }
    return 0;
}
#pragma endregion
template<class T>
struct Binary_Indexed_Tree {
public:
    Binary_Indexed_Tree() :_n(0) {}
    Binary_Indexed_Tree(int n) : _n(n) {
        for (int i = 0; i < 2; i++)data[i].assign(n, 0);
    }

    void add(int l, int r, T x) { // [l, r)にxを加算
        assert(0 <= l && l < r && r <= _n);
        add_sub(0, l, -x * (l - 1));
        add_sub(0, r, x * (r - 1));
        add_sub(1, l, x);
        add_sub(1, r, -x);
    }

    void add(int p, T x) { // pにxを加算
        assert(0 <= p && p < _n);
        add(p, p + 1, x);
    }

    T sum(int r) { // [0, r)
        return sum_sub(0, r) + sum_sub(1, r) * (r - 1);
    }
    T sum(int l, int r) { // [l,r)
        assert(0 <= l && l <= r && r <= _n);
        return sum(r) - sum(l);
    }
    T operator[](int r) { return sum(r + 1) - sum(r); }

    int lower_bound(T w) { // \sum_{i=0}^{x}a_x >= wとなるような最小のx なければn, ただしa_xは全て非負であることが条件
        if (w <= 0)return 0;
        int x = 0, r = 1;
        while (r < _n)r = r << 1;
        for (int len = r; len > 0; len = len >> 1) {
            if (x + len < _n && sum(x, x + len) < w) {
                w -= sum(x, x + len);
                x += len;
            }
        }
        if (w > 0)x++;
        return x;
    }

private:
    int _n;
    std::vector<T> data[2];

    void add_sub(int i, int p, T x) { // 0-indexed
        assert(0 <= p && p <= _n);
        p++; // 内部では1-indexed
        while (p <= _n) {
            data[i][p - 1] += x;
            p += p & -p;
        }
    }
    T sum_sub(int i, int p) {
        T s = 0;
        for (int idx = p; idx > 0; idx -= (idx & -idx)) {
            s += data[i][idx - 1];
        }
        return s;
    }
};

void solve() {
    LL(n, b, q);
    Binary_Indexed_Tree<ll> BIT(n + 1);
    while (q--) {
        LL(l, m, r);
        BIT.add(l, r + 1, 1);
        ll cnt = BIT[m];
        ll x = (cnt + 1) % b, z = pow_mod(3, cnt, b), y = cnt * cnt + 3 * cnt + 3;
        y %= b;
        y *= pow_mod(3, cnt - 1, b);
        y %= b;
        print(x, y, z);
    }
}