結果

問題 No.1067 #いろいろな色 / Red and Blue and more various colors (Middle)
ユーザー scol_kpscol_kp
提出日時 2020-05-29 23:06:34
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 571 ms / 2,000 ms
コード長 5,810 bytes
コンパイル時間 2,520 ms
コンパイル使用メモリ 207,304 KB
実行使用メモリ 285,184 KB
最終ジャッジ日時 2024-11-06 07:28:35
合計ジャッジ時間 6,890 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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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 2 ms
6,820 KB
testcase_01 AC 3 ms
6,820 KB
testcase_02 AC 3 ms
6,820 KB
testcase_03 AC 2 ms
6,816 KB
testcase_04 AC 3 ms
6,820 KB
testcase_05 AC 4 ms
6,816 KB
testcase_06 AC 3 ms
6,816 KB
testcase_07 AC 3 ms
6,820 KB
testcase_08 AC 3 ms
6,820 KB
testcase_09 AC 2 ms
6,820 KB
testcase_10 AC 2 ms
6,816 KB
testcase_11 AC 318 ms
198,656 KB
testcase_12 AC 231 ms
123,392 KB
testcase_13 AC 373 ms
267,904 KB
testcase_14 AC 211 ms
155,904 KB
testcase_15 AC 104 ms
65,536 KB
testcase_16 AC 116 ms
52,352 KB
testcase_17 AC 23 ms
14,848 KB
testcase_18 AC 240 ms
162,304 KB
testcase_19 AC 228 ms
171,648 KB
testcase_20 AC 169 ms
70,144 KB
testcase_21 AC 567 ms
285,184 KB
testcase_22 AC 566 ms
285,184 KB
testcase_23 AC 571 ms
285,184 KB
testcase_24 AC 2 ms
6,816 KB
testcase_25 AC 2 ms
6,816 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 # 

#include <bits/stdc++.h>
#define FASTIO
using namespace std;

using ll = long long;
using Vi = vector<int>;
using Vl = vector<ll>;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;

constexpr int I_INF = numeric_limits<int>::max();
constexpr ll L_INF = numeric_limits<ll>::max();

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

template <std::int_fast64_t Modulus>
class ModInt {
    using i64 = std::int_fast64_t;

private:
    i64 m_value;

public:
    constexpr ModInt(const i64 x = 0) noexcept : m_value(x % Modulus) {
        if (m_value < 0) m_value += Modulus;
    }

    constexpr const i64& value() const noexcept { return m_value; }

    constexpr ModInt& operator+=(const ModInt rhs) noexcept {
        m_value += rhs.m_value;
        if (m_value >= Modulus) {
            m_value -= Modulus;
        }
        return *this;
    }
    constexpr ModInt& operator-=(const ModInt rhs) noexcept {
        if (m_value < rhs.m_value) {
            m_value += Modulus;
        }
        m_value -= rhs.m_value;
        return *this;
    }
    constexpr ModInt& operator*=(const ModInt rhs) noexcept {
        m_value = m_value * rhs.m_value % Modulus;
        return *this;
    }
    constexpr ModInt& operator/=(ModInt rhs) noexcept {
        i64 exp = Modulus - 2;
        while (exp) {
            if (exp & 1) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp >>= 1;
        }
        return *this;
    }

    constexpr ModInt& operator++() noexcept {
        *this += 1;
        return *this;
    }
    constexpr ModInt operator++(int) noexcept {
        ModInt res = *this;
        *this += 1;
        return res;
    }
    constexpr ModInt& operator--() noexcept {
        *this -= 1;
        return *this;
    }
    constexpr ModInt operator--(int) noexcept {
        ModInt res = *this;
        *this -= 1;
        return res;
    }

    constexpr ModInt inv() const noexcept {
        i64 q = m_value;
        i64 b = Modulus, u = 1, v = 0;
        while (b) {
            i64 t = q / b;
            q -= t * b;
            std::swap(q, b);
            u -= t * v;
            std::swap(u, v);
        }
        u %= Modulus;
        if (u < 0) u += Modulus;
        return u;
    }

    constexpr ModInt pow(i64 k) const noexcept {
        ModInt res = 1;
        ModInt tmp;
        if (k < 0) {
            tmp = (*this).inv();
            k = -k;
        }
        else {
            tmp = *this;
        }
        for (; k > 0; k >>= 1) {
            if (k & 1) res *= tmp;
            tmp *= tmp;
        }
        return res;
    }

    friend constexpr ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) += rhs;
    }
    friend constexpr ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) -= rhs;
    }
    friend constexpr ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) *= rhs;
    }
    friend constexpr ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) /= rhs;
    }

    friend constexpr bool operator<(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value < rhs.m_value;
    }
    friend constexpr bool operator>(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value > rhs.m_value;
    }
    friend constexpr bool operator<=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value <= rhs.m_value;
    }
    friend constexpr bool operator>=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value >= rhs.m_value;
    }

    friend constexpr bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value == rhs.m_value;
    }
    friend constexpr bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value != rhs.m_value;
    }

    friend std::istream& operator>>(std::istream& is, ModInt& rhs) {
        i64 a;
        is >> a;
        rhs = a;
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const ModInt& rhs) {
        os << rhs.m_value;
        return os;
    }
};

constexpr ll MOD = 998244353;
using Mint = ModInt<MOD>;

Mint dp[6010][6010];
Mint cump[6010];

void solve() {
    ll N, Q;
    cin >> N >> Q;
    Vl A(N);
    for (ll i = 0; i < N; i++) {
        cin >> A[i];
    }
    sort(A.begin(), A.end(), greater<ll>());

    cump[0] = 1;
    for (ll i = 0; i < N; i++) {
        cump[i + 1] = cump[i] * A[i];
    }

    dp[0][0] = 1;
    for (ll i = 0; i < N; i++) {
        for (ll j = 0; j <= N; j++) {
            dp[i + 1][j] += dp[i][j] * (A[i] - 1);
            dp[i + 1][j + 1] += dp[i][j];
        }
    }

    for (ll i = 0; i < Q; i++) {
        ll l, r, p;
        cin >> l >> r >> p;

        ll ans = 0;

        for (ll x = l; x <= r; x++) {
            ll left = -1, right = N;
            while (right - left > 1) {
                ll mid = (left + right) >> 1;
                if (x <= A[mid]) {
                    left = mid;
                }
                else {
                    right = mid;
                }
            }

            Mint t = dp[right][p] * cump[N] / cump[right];
            ans ^= t.value();
        }

        ans %= MOD;

        cout << ans << "\n";
    }
}

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

int main() {
#ifdef FASTIO
    cin.tie(0), cout.tie(0);
    ios::sync_with_stdio(false);
#endif
#ifdef FILEINPUT
    ifstream ifs("./in_out/input.txt");
    cin.rdbuf(ifs.rdbuf());
#endif
#ifdef FILEOUTPUT
    ofstream ofs("./in_out/output.txt");
    cout.rdbuf(ofs.rdbuf());
#endif
    solve();
    cout << flush;
    return 0;
}
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