#546755 (C++17) No.189 SUPER HAPPY DAY

• 問題: No.189 SUPER HAPPY DAY
• ユーザー: Mister
• 提出日時: 2020-09-04 16:17:23
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 7 ms / 5,000 ms
• コード長: 3,356 bytes
• コンパイル時間: 1,081 ms
• コンパイル使用メモリ: 80,236 KB
• 最終ジャッジ日時: 2025-01-14 04:30:28
• ジャッジサーバーID （参考情報）: judge1 / judge4

ファイルパターン	結果
sample	AC * 3
other	AC * 23

ソースコード

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#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
template <class T>
std::vector<T> vec(int len, T elem) { return std::vector<T>(len, elem); }
template <int MOD>
struct ModInt {
    using lint = long long;
    int val;
    // constructor
    ModInt(lint v = 0) : val(v % MOD) {
        if (val < 0) val += MOD;
    };
    // unary operator
    ModInt operator+() const { return ModInt(val); }
    ModInt operator-() const { return ModInt(MOD - val); }
    ModInt inv() const { return this->pow(MOD - 2); }
    // arithmetic
    ModInt operator+(const ModInt& x) const { return ModInt(*this) += x; }
    ModInt operator-(const ModInt& x) const { return ModInt(*this) -= x; }
    ModInt operator*(const ModInt& x) const { return ModInt(*this) *= x; }
    ModInt operator/(const ModInt& x) const { return ModInt(*this) /= x; }
    ModInt pow(lint n) const {
        auto x = ModInt(1);
        auto b = *this;
        while (n > 0) {
            if (n & 1) x *= b;
            n >>= 1;
            b *= b;
        }
        return x;
    }
    // compound assignment
    ModInt& operator+=(const ModInt& x) {
        if ((val += x.val) >= MOD) val -= MOD;
        return *this;
    }
    ModInt& operator-=(const ModInt& x) {
        if ((val -= x.val) < 0) val += MOD;
        return *this;
    }
    ModInt& operator*=(const ModInt& x) {
        val = lint(val) * x.val % MOD;
        return *this;
    }
    ModInt& operator/=(const ModInt& x) { return *this *= x.inv(); }
    // compare
    bool operator==(const ModInt& b) const { return val == b.val; }
    bool operator!=(const ModInt& b) const { return val != b.val; }
    bool operator<(const ModInt& b) const { return val < b.val; }
    bool operator<=(const ModInt& b) const { return val <= b.val; }
    bool operator>(const ModInt& b) const { return val > b.val; }
    bool operator>=(const ModInt& b) const { return val >= b.val; }
    // I/O
    friend std::istream& operator>>(std::istream& is, ModInt& x) noexcept {
        lint v;
        is >> v;
        x = v;
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const ModInt& x) noexcept { return os << x.val; }
};
constexpr int MOD = 1000000009;
using mint = ModInt<MOD>;
std::vector<mint> calc() {
    std::string s;
    std::cin >> s;
    std::reverse(s.begin(), s.end());
    int dsum = 0;
    // loose, tight
    auto dp = vec(2, vec(dsum + 1, mint(0)));
    dp[0][0] = dp[1][0] = 1;
    for (char c : s) {
        int d = c - '0';
        auto ndp = vec(2, vec(dsum + 10, mint(0)));
        for (int i = 0; i <= dsum; ++i) {
            // loose <- loose
            for (int j = 0; j <= 9; ++j) {
                ndp[0][i + j] += dp[0][i];
            }
            // tight <- loose
            for (int j = 0; j < d; ++j) {
                ndp[1][i + j] += dp[0][i];
            }
            // tight <- tight
            ndp[1][i + d] += dp[1][i];
        }
        std::swap(dp, ndp);
        dsum += 9;
    }
    return dp[1];
}
void solve() {
    auto dp1 = calc(),
         dp2 = calc();
    int n = std::min(dp1.size(), dp2.size());
    mint ans = 0;
    for (int i = 1; i < n; ++i) ans += dp1[i] * dp2[i];
    std::cout << ans << "\n";
}
int main() {
    std::cin.tie(nullptr);
    std::ios::sync_with_stdio(false);
    solve();
    return 0;
}
 
 
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