結果

問題 No.1067 #いろいろな色 / Red and Blue and more various colors (Middle)
ユーザー kcvlexkcvlex
提出日時 2020-05-30 04:10:23
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 88 ms / 2,000 ms
コード長 8,245 bytes
コンパイル時間 2,146 ms
コンパイル使用メモリ 173,516 KB
実行使用メモリ 6,784 KB
最終ジャッジ日時 2024-11-06 20:03:06
合計ジャッジ時間 3,770 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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 5 ms
5,248 KB
testcase_01 AC 6 ms
5,248 KB
testcase_02 AC 5 ms
5,248 KB
testcase_03 AC 5 ms
5,248 KB
testcase_04 AC 5 ms
5,248 KB
testcase_05 AC 5 ms
5,248 KB
testcase_06 AC 6 ms
5,248 KB
testcase_07 AC 6 ms
5,248 KB
testcase_08 AC 5 ms
5,248 KB
testcase_09 AC 6 ms
5,248 KB
testcase_10 AC 5 ms
5,248 KB
testcase_11 AC 58 ms
6,144 KB
testcase_12 AC 41 ms
6,144 KB
testcase_13 AC 75 ms
5,504 KB
testcase_14 AC 44 ms
5,248 KB
testcase_15 AC 21 ms
5,504 KB
testcase_16 AC 21 ms
5,760 KB
testcase_17 AC 8 ms
5,248 KB
testcase_18 AC 47 ms
5,504 KB
testcase_19 AC 47 ms
5,248 KB
testcase_20 AC 27 ms
6,272 KB
testcase_21 AC 88 ms
6,784 KB
testcase_22 AC 88 ms
6,784 KB
testcase_23 AC 88 ms
6,656 KB
testcase_24 AC 6 ms
5,248 KB
testcase_25 AC 5 ms
5,248 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

diff # 

#define CPP17
#include <limits>
#include <initializer_list>
#include <utility>
#include <bitset>
#include <tuple>
#include <type_traits>
#include <functional>
#include <string>
#include <array>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <iterator>
#include <algorithm>
#include <complex>
#include <random>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <regex>
#include <cassert>
#include <cstddef>
#ifdef CPP17
#include <variant>
#endif

// Yay!!
#define endl codeforces

// macros for iterator
#define ALL(v) std::begin(v), std::end(v)
#define ALLR(v) std::rbegin(v), std::rend(v)

// alias
using ll = std::int64_t;
using ull = std::uint64_t;
using pii = std::pair<int, int>;
using tii = std::tuple<int, int, int>;
using pll = std::pair<ll, ll>;
using tll = std::tuple<ll, ll, ll>;
template <typename T> using vec = std::vector<T>;
template <typename T> using vvec = vec<vec<T>>;

// variadic min/max
template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }

// variadic chmin/chmax
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

// multi demension array
template <typename T, std::size_t Head, std::size_t... Tail> struct multi_dim_array { using type = std::array<typename multi_dim_array<T, Tail...>::type, Head>; };
template <typename T, std::size_t Head> struct multi_dim_array<T, Head> { using type = std::array<T, Head>; };
template <typename T, std::size_t... Args> using mdarray = typename multi_dim_array<T, Args...>::type;

#ifdef CPP17
// fill container
template <typename T, typename F, typename... Args> 
void fill_seq(T &t, F f, Args... args) { if constexpr (std::is_invocable<F, Args...>::value) { t = f(args...); } else { for (ssize_t i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); } }
#endif

// make multi dimension vector
template <typename T> vec<T> make_v(ssize_t sz) { return vec<T>(sz); }
template <typename T, typename... Tail> auto make_v(ssize_t hs, Tail&&... ts) { auto v = std::move(make_v<T>(std::forward<Tail>(ts)...)); return vec<decltype(v)>(hs, v); }

// init
namespace init__ { 
struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; 
}


namespace math {

template <typename T>
constexpr T pow(const T &n, ll k) {
    T ret = n.mul_id_ele();
    T cur = n;
    while (k) {
        if (k & 1) ret *= cur;
        cur *= cur;
        k /= 2;
    }
    return ret;
}

}

namespace math {

template <ll Mod>
struct Modint {

    constexpr Modint(ll x) noexcept : x((Mod + x % Mod) % Mod) { }
    
    constexpr Modint() noexcept : Modint(0) { }
    
    constexpr Modint<Mod> add_id_ele() const noexcept { 
        return Modint<Mod>(0); 
    }
    
    constexpr Modint<Mod> mul_id_ele() const noexcept {
        return Modint<Mod>(1); 
    }
    
    constexpr ll& value() noexcept { 
        return x; 
    }
    
    constexpr ll value() const noexcept {
        return x; 
    }

    constexpr Modint& operator +=(const Modint &oth) noexcept {
        x += oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator -=(const Modint &oth) noexcept {
        x += Mod - oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator *=(const Modint &oth) noexcept {
        x *= oth.value();
        x %= Mod;
        return *this;
    }

    constexpr Modint& operator /=(const Modint &oth) noexcept {
        x *= oth.inv().value();
        x %= Mod;
        return *this;
    }

    constexpr Modint operator +(const Modint &oth) const noexcept {
        return Modint(x) += oth;
    }

    constexpr Modint operator -(const Modint &oth) const noexcept {
        return Modint(x) -= oth;
    }

    constexpr Modint operator *(const Modint &oth) const noexcept {
        return Modint(x) *= oth;
    }

    constexpr Modint operator /(const Modint &oth) const noexcept {
        return Modint(x) /= oth;
    }

    constexpr Modint operator -() const noexcept {
        return Modint((x != 0) * (Mod - x)); 
    }

    template <typename T>
    constexpr typename std::enable_if<std::is_integral<T>::value, const Modint&>::type
    operator =(T t) noexcept {
        (*this) = Modint(std::forward<T>(t)); 
        return *this;
    }

    constexpr Modint inv() const noexcept {
        return ::math::pow(*this, Mod - 2);
    }

    constexpr ll mod() const noexcept {
        return Mod;
    }

private:
    ll x;
};

}

namespace utility {

template <typename T>
struct Compressor {
    using size_type = ssize_t;

    Compressor(vec<T> arg) : v(std::move(arg)) {
        std::sort(ALL(v));
        auto ite = std::unique(ALL(v));
        v.erase(ite, v.end());
    }

    const T& operator [](size_type i) const {
        return v[i];
    }

    size_type get(const T &t) const {
        return std::distance(v.begin(),
                             std::lower_bound(ALL(v), t));
    }

    size_type size() const {
        return v.size();
    }

    template <typename U = T>
    vec<U> compress(const vec<T> &v) const {
        vec<U> ret(v.size());
        for (size_type i = 0; i < v.size(); i++) ret[i] = get(v[i]);
        return ret;
    }

private:
    vec<T> v;
};

};

namespace math {

template <ll Mod>
class Factorial {
    using mint = Modint<Mod>;

    ssize_t maxv;
    vec<mint> factv, ifactv;

public:
    Factorial(ssize_t maxv) : maxv(maxv), factv(maxv + 1), ifactv(maxv + 1) {
        factv[0] = mint(1);
        for (ll i = 1; i <= maxv; i++) factv[i] = factv[i - 1] * i;
        ifactv.back() = factv.back().inv();
        for (ll i = maxv - 1; 0 <= i; i--) ifactv[i] = ifactv[i + 1] * (i + 1);
    }

    mint fact(ll n) const {
        return factv[n]; 
    }

    mint ifact(ll n) const {
        return ifactv[n];
    }

    mint perm(ll n, ll k) const {
        return factv[n] * ifactv[n - k];
    }

    mint comb(ll n, ll k) const {
        return perm(n, k) * ifactv[k];
    }
};

}

int main() {
    constexpr ll mod = 998244353;
    using mint = math::Modint<mod>;
    math::Factorial<mod> fa(1e5);

    ll n, q;
    std::cin >> n >> q;
    vec<ll> av(n);
    for (auto &&e : av) std::cin >> e;
    std::sort(ALLR(av));
    vec<ll> ans(q, 0);
    vec<tll> qv(q);
    vec<ll> vn = av;
    for (auto &&e : qv) {
        ll l, r, p;
        std::cin >> l >> r >> p;
        e = tll(l, r, p);
        vn.push_back(l);
        vn.push_back(r);
        vn.push_back(p);
    }
    utility::Compressor cmp(vn);
    vvec<ll> in(vn.size()), out(vn.size());
    for (ll i = 0; i < q; i++) {
        auto [ l, r, p ] = qv[i];
        in[cmp.get(r)].push_back(i);
        out[cmp.get(l)].push_back(i);
    }

    vec<mint> dp(n + 1, 0);
    dp[0] = 1;
    mint oth = 1;
    for (ll e : av) oth *= e;
    ll idx = 0;
    std::set<ll> qset;
    for (ll i = cmp.size() - 1; 0 <= i; i--) {
        ll e = cmp[i];
        for (ll qi : in[i]) qset.insert(qi);
        for (; idx < n && e == av[idx]; idx++) {
            for (ll j = n; 0 <= j; j--) {
                dp[j] *= e - 1;
                if (j) dp[j] += dp[j - 1];
            }
            oth /= e;
        }

        auto update = [&](ll qi) {
            ll p = std::get<2>(qv[qi]);
            ans[qi] ^= (oth * dp[p]).value();
        };
        
        for (ll qi : out[i]) {
            update(qi);
            qset.erase(qi);
        }

        if (i) {
            ll diff = cmp[i] - cmp[i - 1];
            if (diff & 1) for (ll qi : qset) update(qi);
        }
    }

    for (ll e : ans) std::cout << mint(e).value() << "\n";
    return 0;
}
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