結果

問題 No.1067 #いろいろな色 / Red and Blue and more various colors (Middle)
ユーザー TAISA_TAISA_
提出日時 2020-05-29 23:01:32
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 367 ms / 2,000 ms
コード長 4,384 bytes
コンパイル時間 2,524 ms
コンパイル使用メモリ 203,324 KB
最終ジャッジ日時 2025-01-10 18:11:39
ジャッジサーバーID
(参考情報)
judge5 / judge4
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ファイルパターン 結果
sample AC * 1
other AC * 25
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 #

#include <bits/stdc++.h>
#define all(vec) vec.begin(), vec.end()
#define pb push_back
#define eb emplace_back
#define fi first
#define se second
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
template <class T>
using V = vector<T>;
template <class T>
inline void chmin(T &a, const T &b) { a = min(a, b); }
template <class T>
inline void chmax(T &a, const T &b) { a = max(a, b); }
template <class T>
inline bool kbit(const T &x, const int &k) { return ((x >> k) & 1LL); }
inline int popcount(const int &n) { return __builtin_popcount(n); }
inline ll popcountll(const ll &n) { return __builtin_popcountll(n); }
template <class T>
void zip(V<T> &v) {
    sort(all(v));
    v.erase(unique(all(v)), v.end());
}
void dump() {
    cerr << '\n';
}
template <class Head, class... Tail>
void dump(Head &&head, Tail &&... tail) {
    cerr << head << (sizeof...(Tail) == 0 ? " " : ", ");
    dump(std::move(tail)...);
}
template <class T>
void print(const vector<T> &v) {
    for (int i = 0; i < v.size(); i++) cout << v[i] << (i + 1 == v.size() ? '\n' : ' ');
}
template <class T>
void read(vector<T> &v) {
    for (int i = 0; i < v.size(); i++) cin >> v[i];
}
constexpr char sp = ' ', newl = '\n';
constexpr int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0};
constexpr ll INF = (1LL << 30) - 1LL;
constexpr ll MOD = 998244353LL;
//from http://noshi91.hatenablog.com/entry/2019/03/31/174006
template <std::uint_fast64_t Modulus>
class modint {
    using u64 = std::uint_fast64_t;

  public:
    u64 a;
    constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
    constexpr u64 &value() noexcept { return a; }
    constexpr const u64 &value() const noexcept { return a; }
    constexpr modint operator+(const modint rhs) const noexcept {
        return modint(*this) += rhs;
    }
    constexpr modint operator-(const modint rhs) const noexcept {
        return modint(*this) -= rhs;
    }
    constexpr modint operator*(const modint rhs) const noexcept {
        return modint(*this) *= rhs;
    }
    constexpr modint operator/(const modint rhs) const noexcept {
        return modint(*this) /= rhs;
    }
    constexpr modint operator^(const u64 rhs) const noexcept {
        return modint(*this) ^= rhs;
    }
    constexpr modint &operator+=(const modint rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr modint &operator-=(const modint rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr modint &operator*=(const modint rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr modint &operator/=(modint rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    constexpr modint &operator^=(u64 exp) {
        modint rhs = modint(*this);
        a = 1;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
    friend ostream &operator<<(ostream &os, const modint &x) {
        os << x.a;
        return os;
    }
    friend istream &operator>>(istream &is, modint &x) {
        is >> x.a;
        return is;
    }
};
using mint = modint<MOD>;
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    int n, q;
    cin >> n >> q;
    V<ll> a(n);
    read(a);
    sort(all(a));
    reverse(all(a));
    V<V<mint>> dp(n + 1, V<mint>(n + 1));
    dp[0][0] = 1;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j <= i; j++) {
            dp[i + 1][j + 1] += dp[i][j];
            dp[i + 1][j] += dp[i][j] * mint(a[i] - 1);
        }
    }
    V<mint> s(n + 1, 1);
    for (int i = n - 1; i >= 0; i--) {
        s[i] = s[i + 1] * a[i];
    }
    while (q--) {
        int l, r, p;
        cin >> l >> r >> p;
        int id = r;
        ll res = 0;
        for (int i = 0; i < n; i++) {
            while (id >= l && id > a[i]) {
                res ^= (dp[i][p] * s[i]).a;
                --id;
            }
        }
        while (id >= l) {
            res ^= dp[n][p].a;
            --id;
        }
        cout << res % MOD << newl;
    }
}
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