結果

問題 No.1086 桁和の桁和2
ユーザー kibunakibuna
提出日時 2020-06-19 23:19:12
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 4,709 bytes
コンパイル時間 1,678 ms
コンパイル使用メモリ 175,968 KB
実行使用メモリ 7,296 KB
最終ジャッジ日時 2024-07-03 15:42:34
合計ジャッジ時間 14,552 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
sample AC * 4 WA * 1
other AC * 20 WA * 11
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>
using namespace std;
using lint     = long long;
const lint inf = 1LL << 60;
const lint mod = 1000000007;

template <int mod>
struct modint {
    lint v;
    modint() : v(0) {}
    modint(signed v) : v(v) {}
    modint(lint t) {
        v = t % mod;
        if (v < 0)
            v += mod;
    }

    modint pow(lint k) {
        modint res(1), tmp(v);
        while (k) {
            if (k & 1)
                res *= tmp;
            tmp *= tmp;
            k >>= 1;
        }
        return res;
    }
    static modint add_identity() { return modint(0); }
    static modint mul_identity() { return modint(1); }
    modint inv() { return pow(mod - 2); }

    modint &operator+=(modint a) {
        v += a.v;
        if (v >= mod)
            v -= mod;
        return *this;
    }
    modint &operator-=(modint a) {
        v += mod - a.v;
        if (v >= mod)
            v -= mod;
        return *this;
    }
    modint &operator*=(modint a) {
        v = v * a.v % mod;
        return *this;
    }
    modint &operator/=(modint a) { return (*this) *= a.inv(); }

    modint operator+(modint a) const { return modint(v) += a; };
    modint operator-(modint a) const { return modint(v) -= a; };
    modint operator*(modint a) const { return modint(v) *= a; };
    modint operator/(modint a) const { return modint(v) /= a; };

    modint operator-() const { return v ? modint(mod - v) : modint(v); }

    bool operator==(const modint a) const { return v == a.v; }
    bool operator!=(const modint a) const { return v != a.v; }
    bool operator<(const modint a) const { return v < a.v; }
};
using mint = modint<mod>;
ostream &operator<<(ostream &os, mint m) { return os << m.v; }

template <size_t N, typename R>
struct SquareMatrix {
    using arr = array<R, N>;
    using mat = array<arr, N>;
    mat dat;

    SquareMatrix() {
        for (size_t i = 0; i < N; i++)
            for (size_t j = 0; j < N; j++)
                dat[i][j] = R::add_identity();
    }
    SquareMatrix &operator=(const SquareMatrix &a) {
        dat = a.dat;
        return (*this);
    }
    bool operator==(const SquareMatrix &a) const { return dat == a.dat; }

    size_t size() const { return N; };
    arr &operator[](size_t k) { return dat[k]; };
    const arr &operator[](size_t k) const { return dat[k]; };

    static SquareMatrix add_identity() { return SquareMatrix(); }
    static SquareMatrix mul_identity() {
        SquareMatrix res;
        for (size_t i = 0; i < N; i++)
            res[i][i] = R::mul_identity();
        return res;
    }

    SquareMatrix operator*(const SquareMatrix &B) const {
        SquareMatrix res;
        for (size_t i = 0; i < N; i++)
            for (size_t j = 0; j < N; j++)
                for (size_t k = 0; k < N; k++)
                    res[i][j] = res[i][j] + (dat[i][k] * B[k][j]);
        return res;
    }

    SquareMatrix operator+(const SquareMatrix &B) const {
        SquareMatrix res;
        for (size_t i = 0; i < N; i++)
            for (size_t j = 0; j < N; j++)
                res[i][j] = dat[i][j] + B[i][j];
        return res;
    }

    SquareMatrix pow(long long n) const {
        SquareMatrix a = *this, res = mul_identity();
        while (n) {
            if (n & 1)
                res = res * a;
            a = a * a;
            n >>= 1;
        }
        return res;
    }
};

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    lint n;
    cin >> n;
    vector<lint> l(n + 1), r(n + 1);
    for (int i = 1; i <= n; ++i) {
        cin >> l[i];
    }
    for (int i = 1; i <= n; ++i) {
        cin >> r[i];
    }
    vector<lint> c(n + 1, 0);
    for (int i = 1; i <= n; ++i) {
        cin >> c[i];
    }
    auto d = c;
    for (int i = n; i > 0; --i) {
        d[i] = (d[i] - d[i - 1] + 9) % 9;
    }
    vector<mint> dp(n + 1, 0);
    dp[0] = 1;
    SquareMatrix<2, mint> mat;
    mat[0][0] = 1;
    mat[0][1] = 1;
    mat[1][0] = 0;
    mat[1][1] = 10;
    bool zero = false;
    mint ret  = 0;
    for (int i = 1; i <= n; ++i) {
        if (c[i] == 0) {
            dp[i] = dp[i - 1];
            continue;
        }
        // int prev = d[i - 1];
        // int curr = d[i];
        // int add  = (curr + 10 - prev) % 10;
        int add = d[i];
        // multiply no. of a s.t. f(a) = add
        // if (add == 0)
        //     dp[i] = dp[i - 1];
        // else {
        auto ml = mat.pow(l[i]);
        auto mr = mat.pow(r[i]);
        mint ls = ml[0][1];
        mint rs = mr[0][1];
        if (add == 0)
            rs += 1;
        dp[i] = dp[i - 1] * (rs - ls);

        // }
    }
    if (zero)
        cout << ret << "\n";
    else
        cout << dp[n] << "\n";
    return 0;
}
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