#531574 (C++17) No.1172 Add Recursive Sequence

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結果

問題	No.1172 Add Recursive Sequence
ユーザー	kimiyuki
提出日時	2020-08-16 00:40:01
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	221 ms / 4,000 ms
コード長	5,844 bytes
コンパイル時間	2,236 ms
コンパイル使用メモリ	203,944 KB
実行使用メモリ	10,368 KB
最終ジャッジ日時	2024-04-19 12:33:48
合計ジャッジ時間	3,986 ms
ジャッジサーバーID （参考情報）	judge3 / 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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	1 ms 6,940 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	2 ms 6,940 KB
testcase_07	AC	2 ms 6,944 KB
testcase_08	AC	3 ms 6,944 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	9 ms 6,940 KB
testcase_11	AC	8 ms 6,944 KB
testcase_12	AC	8 ms 6,940 KB
testcase_13	AC	7 ms 6,944 KB
testcase_14	AC	59 ms 10,368 KB
testcase_15	AC	38 ms 8,576 KB
testcase_16	AC	221 ms 10,220 KB
testcase_17	AC	197 ms 8,576 KB

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ソースコード

raw source code

#line 1 "main.cpp"
#include <bits/stdc++.h>
#line 2 "/home/user/Library/utils/macros.hpp"
#define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i))
#define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i))
#define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i))
#define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i))
#define ALL(x) std::begin(x), std::end(x)
#line 4 "/home/user/Library/modulus/modpow.hpp"

inline int32_t modpow(uint_fast64_t x, uint64_t k, int32_t MOD) {
    assert (/* 0 <= x and */ x < (uint_fast64_t)MOD);
    uint_fast64_t y = 1;
    for (; k; k >>= 1) {
        if (k & 1) (y *= x) %= MOD;
        (x *= x) %= MOD;
    }
    assert (/* 0 <= y and */ y < (uint_fast64_t)MOD);
    return y;
}
#line 5 "/home/user/Library/modulus/modinv.hpp"

inline int32_t modinv_nocheck(int32_t value, int32_t MOD) {
    assert (0 <= value and value < MOD);
    if (value == 0) return -1;
    int64_t a = value, b = MOD;
    int64_t x = 0, y = 1;
    for (int64_t u = 1, v = 0; a; ) {
        int64_t q = b / a;
        x -= q * u; std::swap(x, u);
        y -= q * v; std::swap(y, v);
        b -= q * a; std::swap(b, a);
    }
    if (not (value * x + MOD * y == b and b == 1)) return -1;
    if (x < 0) x += MOD;
    assert (0 <= x and x < MOD);
    return x;
}

inline int32_t modinv(int32_t x, int32_t MOD) {
    int32_t y = modinv_nocheck(x, MOD);
    assert (y != -1);
    return y;
}
#line 6 "/home/user/Library/modulus/mint.hpp"

/**
 * @brief quotient ring / 剰余環 $\mathbb{Z}/n\mathbb{Z}$
 */
template <int32_t MOD>
struct mint {
    int32_t value;
    mint() : value() {}
    mint(int64_t value_) : value(value_ < 0 ? value_ % MOD + MOD : value_ >= MOD ? value_ % MOD : value_) {}
    mint(int32_t value_, std::nullptr_t) : value(value_) {}
    explicit operator bool() const { return value; }
    inline mint<MOD> operator + (mint<MOD> other) const { return mint<MOD>(*this) += other; }
    inline mint<MOD> operator - (mint<MOD> other) const { return mint<MOD>(*this) -= other; }
    inline mint<MOD> operator * (mint<MOD> other) const { return mint<MOD>(*this) *= other; }
    inline mint<MOD> & operator += (mint<MOD> other) { this->value += other.value; if (this->value >= MOD) this->value -= MOD; return *this; }
    inline mint<MOD> & operator -= (mint<MOD> other) { this->value -= other.value; if (this->value <    0) this->value += MOD; return *this; }
    inline mint<MOD> & operator *= (mint<MOD> other) { this->value = (uint_fast64_t)this->value * other.value % MOD; return *this; }
    inline mint<MOD> operator - () const { return mint<MOD>(this->value ? MOD - this->value : 0, nullptr); }
    inline bool operator == (mint<MOD> other) const { return value == other.value; }
    inline bool operator != (mint<MOD> other) const { return value != other.value; }
    inline mint<MOD> pow(uint64_t k) const { return mint<MOD>(modpow(value, k, MOD), nullptr); }
    inline mint<MOD> inv() const { return mint<MOD>(modinv(value, MOD), nullptr); }
    inline mint<MOD> operator / (mint<MOD> other) const { return *this * other.inv(); }
    inline mint<MOD> & operator /= (mint<MOD> other) { return *this *= other.inv(); }
};
template <int32_t MOD> mint<MOD> operator + (int64_t value, mint<MOD> n) { return mint<MOD>(value) + n; }
template <int32_t MOD> mint<MOD> operator - (int64_t value, mint<MOD> n) { return mint<MOD>(value) - n; }
template <int32_t MOD> mint<MOD> operator * (int64_t value, mint<MOD> n) { return mint<MOD>(value) * n; }
template <int32_t MOD> mint<MOD> operator / (int64_t value, mint<MOD> n) { return mint<MOD>(value) / n; }
template <int32_t MOD> std::istream & operator >> (std::istream & in, mint<MOD> & n) { int64_t value; in >> value; n = value; return in; }
template <int32_t MOD> std::ostream & operator << (std::ostream & out, mint<MOD> n) { return out << n.value; }
#line 4 "main.cpp"
using namespace std;

constexpr int64_t MOD = 1000000007;
auto solve(int k, int n, int m, const vector<int64_t> & a_init, const vector<int64_t> & c, const vector<int> & l, const vector<int> & r) {
    // calculate a
    vector<mint<MOD> > a(n);
    REP (i, k) {
        a[i] = a_init[i];
    }
    REP3 (i, k, n) {
        REP (j, k) {
            a[i] += c[j] * a[i - j - 1];
        }
    }

    // compute the parts of queries which are smaller or equal to k
    vector<mint<MOD> > x(n);
    vector<vector<int> > events(n + 1);
    REP (q, m) {
        REP (j, min(n, min(k, r[q] - l[q]))) {
            x[l[q] + j] += a[j];
        }
        if (r[q] - l[q] > k) {
            events[l[q] + k].push_back(q);
            events[r[q]].push_back(q);
        }
    }

    // compute the parts of queries which are longer than k
    vector<mint<MOD> > imos(n);
    REP3 (i, k, n) {
        for (int q : events[i]) {
            if (i == l[q] + k) {
                REP (j, k) {
                    imos[l[q] + j] += a[j];
                }
            } else {
                REP (j, k) {
                    imos[r[q] - k + j] -= a[r[q] - l[q] - k + j];
                }
            }
        }
        mint<MOD> y = 0;
        REP (j, k) {
            y += c[j] * imos[i - j - 1];
        }
        x[i] += y;
        imos[i] += y;
    }
    return x;
}

// generated by online-judge-template-generator v4.5.1 (https://github.com/kmyk/online-judge-template-generator)
int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    constexpr char endl = '\n';
    int K;
    int N;
    int M;
    cin >> K;
    vector<int64_t> a(K), c(K);
    cin >> N >> M;
    vector<int> l(M), r(M);
    REP (i, K) {
        cin >> a[i];
    }
    REP (i, K) {
        cin >> c[i];
    }
    REP (i, M) {
        cin >> l[i] >> r[i];
    }
    auto ans = solve(K, N, M, a, c, l, r);
    REP (i, N) {
        cout << ans[i] << endl;
    }
    return 0;
}

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