結果

問題 No.1085 桁和の桁和
ユーザー kcvlexkcvlex
提出日時 2020-06-19 23:04:41
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
WA  
(最新)
AC  
(最初)
実行時間 -
コード長 5,894 bytes
コンパイル時間 1,505 ms
コンパイル使用メモリ 143,980 KB
実行使用メモリ 10,732 KB
最終ジャッジ日時 2023-09-30 06:26:04
合計ジャッジ時間 3,060 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
このコードへのチャレンジ
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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
4,380 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 1 ms
4,376 KB
testcase_03 AC 2 ms
4,376 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 2 ms
4,380 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,380 KB
testcase_09 AC 2 ms
4,376 KB
testcase_10 AC 2 ms
4,376 KB
testcase_11 WA -
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 3 ms
4,380 KB
testcase_14 AC 7 ms
4,748 KB
testcase_15 AC 13 ms
6,636 KB
testcase_16 AC 13 ms
6,440 KB
testcase_17 AC 7 ms
4,872 KB
testcase_18 AC 5 ms
4,392 KB
testcase_19 AC 11 ms
6,164 KB
testcase_20 AC 2 ms
4,380 KB
testcase_21 AC 8 ms
5,372 KB
testcase_22 AC 11 ms
5,920 KB
testcase_23 AC 3 ms
4,376 KB
testcase_24 AC 2 ms
4,376 KB
testcase_25 AC 7 ms
5,172 KB
testcase_26 AC 13 ms
6,728 KB
testcase_27 AC 11 ms
5,976 KB
testcase_28 AC 14 ms
6,996 KB
testcase_29 AC 9 ms
5,336 KB
testcase_30 AC 8 ms
5,172 KB
testcase_31 AC 12 ms
6,452 KB
testcase_32 AC 9 ms
5,548 KB
testcase_33 AC 25 ms
10,732 KB
testcase_34 AC 25 ms
10,552 KB
testcase_35 AC 25 ms
10,488 KB
testcase_36 AC 25 ms
10,460 KB
testcase_37 AC 25 ms
10,440 KB
testcase_38 AC 25 ms
10,448 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 # 

#define CPP17
#include <limits>
#include <initializer_list>
#include <utility>
#include <bitset>
#include <tuple>
#include <type_traits>
#include <functional>
#include <string>
#include <array>
#include <deque>
#include <list>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <iterator>
#include <algorithm>
#include <complex>
#include <random>
#include <numeric>
#include <iostream>
#include <iomanip>
#include <sstream>
#include <regex>
#include <cassert>
#include <cstddef>
#ifdef CPP17
#include <variant>
#endif

// Yay!!
#define endl codeforces

// macros for iterator
#define ALL(v) std::begin(v), std::end(v)
#define ALLR(v) std::rbegin(v), std::rend(v)

// alias
using ll = std::int64_t;
using ull = std::uint64_t;
using pii = std::pair<int, int>;
using tii = std::tuple<int, int, int>;
using pll = std::pair<ll, ll>;
using tll = std::tuple<ll, ll, ll>;
template <typename T> using vec = std::vector<T>;
template <typename T> using vvec = vec<vec<T>>;

// variadic min/max
template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }

// variadic chmin/chmax
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

// multi demension array
template <typename T, std::size_t Head, std::size_t... Tail> struct multi_dim_array { using type = std::array<typename multi_dim_array<T, Tail...>::type, Head>; };
template <typename T, std::size_t Head> struct multi_dim_array<T, Head> { using type = std::array<T, Head>; };
template <typename T, std::size_t... Args> using mdarray = typename multi_dim_array<T, Args...>::type;

#ifdef CPP17
// fill container
template <typename T, typename F, typename... Args> 
void fill_seq(T &t, F f, Args... args) { if constexpr (std::is_invocable<F, Args...>::value) { t = f(args...); } else { for (ssize_t i = 0; i < t.size(); i++) fill_seq(t[i], f, args..., i); } }
#endif

// make multi dimension vector
template <typename T> vec<T> make_v(ssize_t sz) { return vec<T>(sz); }
template <typename T, typename... Tail> auto make_v(ssize_t hs, Tail&&... ts) { auto v = std::move(make_v<T>(std::forward<Tail>(ts)...)); return vec<decltype(v)>(hs, v); }

// init
namespace init__ { 
struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; 
}


namespace math {

template <typename T>
constexpr T pow(const T &n, ll k) {
    T ret = n.mul_id_ele();
    T cur = n;
    while (k) {
        if (k & 1) ret *= cur;
        cur *= cur;
        k /= 2;
    }
    return ret;
}

}

namespace math {

template <ll Mod>
struct Modint {

    constexpr Modint(ll x) noexcept : x((Mod + x % Mod) % Mod) { }
    
    constexpr Modint() noexcept : Modint(0) { }
    
    constexpr Modint<Mod> add_id_ele() const noexcept { 
        return Modint<Mod>(0); 
    }
    
    constexpr Modint<Mod> mul_id_ele() const noexcept {
        return Modint<Mod>(1); 
    }
    
    constexpr ll& value() noexcept { 
        return x; 
    }
    
    constexpr ll value() const noexcept {
        return x; 
    }

    constexpr Modint& operator +=(const Modint &oth) noexcept {
        x += oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator -=(const Modint &oth) noexcept {
        x += Mod - oth.value();
        if (Mod <= x) x -= Mod;
        return *this;
    }

    constexpr Modint& operator *=(const Modint &oth) noexcept {
        x *= oth.value();
        x %= Mod;
        return *this;
    }

    constexpr Modint& operator /=(const Modint &oth) noexcept {
        x *= oth.inv().value();
        x %= Mod;
        return *this;
    }

    constexpr Modint operator +(const Modint &oth) const noexcept {
        return Modint(x) += oth;
    }

    constexpr Modint operator -(const Modint &oth) const noexcept {
        return Modint(x) -= oth;
    }

    constexpr Modint operator *(const Modint &oth) const noexcept {
        return Modint(x) *= oth;
    }

    constexpr Modint operator /(const Modint &oth) const noexcept {
        return Modint(x) /= oth;
    }

    constexpr Modint operator -() const noexcept {
        return Modint((x != 0) * (Mod - x)); 
    }

    template <typename T>
    constexpr typename std::enable_if<std::is_integral<T>::value, const Modint&>::type
    operator =(T t) noexcept {
        (*this) = Modint(std::forward<T>(t)); 
        return *this;
    }

    constexpr Modint inv() const noexcept {
        return ::math::pow(*this, Mod - 2);
    }

    constexpr ll mod() const noexcept {
        return Mod;
    }

private:
    ll x;
};

}

const ll mod = 1e9 + 7;
const ssize_t SIZE = 1e6;
using mint = math::Modint<mod>;
mdarray<mint, SIZE, 9> dp;

mint solve() {
    std::string s;
    ll d;
    std::cin >> s >> d;
    ll sum = 0, cnt = 0;
    for (char c : s) {
        if ('0' <= c && c <= '9') sum += c - '0';
        else cnt++;
    }

    if (d == 0) return mint(sum == 0);
    if (cnt == 0) return mint(sum % 9 == d % 9);

    dp[0][sum % 9] = 1;
    for (ll i = 0; i < cnt; i++) {
        for (ll j = 0; j < 9; j++) for (ll k = 0; k < 10; k++) {
            ll m = (j + k) % 9;
            dp[i + 1][m] += dp[i][j];
        }
    }

    auto ret = dp[cnt][d % 9];
    if (sum == 0 && d == 9) ret -= 1;
    return ret;
}

int main() {
    std::cout << solve().value() << "\n";
    return 0;
}
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