結果

問題 No.1085 桁和の桁和
ユーザー gazellegazelle
提出日時 2020-06-19 22:22:25
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 25 ms / 2,000 ms
コード長 5,159 bytes
コンパイル時間 1,340 ms
コンパイル使用メモリ 132,820 KB
実行使用メモリ 11,736 KB
最終ジャッジ日時 2023-08-06 14:31:54
合計ジャッジ時間 3,067 ms
ジャッジサーバーID
(参考情報)
judge11 / judge12
このコードへのチャレンジ(β)

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 5 ms
10,972 KB
testcase_01 AC 5 ms
10,880 KB
testcase_02 AC 5 ms
10,968 KB
testcase_03 AC 4 ms
10,856 KB
testcase_04 AC 24 ms
11,504 KB
testcase_05 AC 4 ms
10,804 KB
testcase_06 AC 4 ms
10,776 KB
testcase_07 AC 5 ms
10,912 KB
testcase_08 AC 5 ms
10,876 KB
testcase_09 AC 5 ms
10,856 KB
testcase_10 AC 4 ms
10,808 KB
testcase_11 AC 5 ms
10,776 KB
testcase_12 AC 4 ms
10,868 KB
testcase_13 AC 6 ms
10,972 KB
testcase_14 AC 9 ms
11,356 KB
testcase_15 AC 16 ms
11,736 KB
testcase_16 AC 16 ms
11,536 KB
testcase_17 AC 10 ms
11,300 KB
testcase_18 AC 7 ms
11,204 KB
testcase_19 AC 15 ms
11,588 KB
testcase_20 AC 15 ms
11,580 KB
testcase_21 AC 11 ms
11,304 KB
testcase_22 AC 14 ms
11,296 KB
testcase_23 AC 5 ms
10,864 KB
testcase_24 AC 4 ms
10,860 KB
testcase_25 AC 10 ms
11,316 KB
testcase_26 AC 17 ms
11,560 KB
testcase_27 AC 14 ms
11,344 KB
testcase_28 AC 19 ms
11,576 KB
testcase_29 AC 12 ms
11,236 KB
testcase_30 AC 11 ms
11,332 KB
testcase_31 AC 16 ms
11,500 KB
testcase_32 AC 12 ms
11,284 KB
testcase_33 AC 25 ms
11,556 KB
testcase_34 AC 25 ms
11,480 KB
testcase_35 AC 25 ms
11,656 KB
testcase_36 AC 25 ms
11,580 KB
testcase_37 AC 25 ms
11,508 KB
testcase_38 AC 25 ms
11,500 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 <iostream>
#include <vector>
#include <map>
#include <set>
#include <unordered_set>
#include <unordered_map>
#include <stack>
#include <queue>
#include <algorithm>
#include <cassert>
#include <random>
#include <iomanip>
#include <bitset>
#include <array>
#define FOR(i, n, m) for(ll i = (n); i < (ll)(m); i++)
#define REP(i, n) FOR(i, 0, n)
#define ALL(v) v.begin(), v.end()
#define pb push_back
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
constexpr ll inf = 1000000000;
constexpr ll mod = 1000000007;
constexpr long double eps = 1e-6;
 
template<typename T1, typename T2>
ostream& operator<<(ostream& os, pair<T1, T2> p) {
    os << to_string(p.first) << " " << to_string(p.second);
    return os;
}
template<typename T>
ostream& operator<<(ostream& os, vector<T>& v) {
    REP(i, v.size()) {
        if(i) os << " ";
        os << v[i];
    }
    return os;
}
 
struct modint {
    ll n;
public:
    modint(const ll n = 0) : n((n % mod + mod) % mod) {}
    static modint pow(modint a, int m) {
        modint r = 1;
        while(m > 0) {
            if(m & 1) { r *= a; }
            a = (a * a); m /= 2;
        }
        return r;
    }
    modint &operator++() { *this += 1; return *this; }
    modint &operator--() { *this -= 1; return *this; }
    modint operator++(int) { modint ret = *this; *this += 1; return ret; }
    modint operator--(int) { modint ret = *this; *this -= 1; return ret; }
    modint operator~() const { return (this -> pow(n, mod - 2)); } // inverse
    friend bool operator==(const modint& lhs, const modint& rhs) {
        return lhs.n == rhs.n;
    }
    friend bool operator<(const modint& lhs, const modint& rhs) {
        return lhs.n < rhs.n;
    }
    friend bool operator>(const modint& lhs, const modint& rhs) {
        return lhs.n > rhs.n;
    }
    friend modint &operator+=(modint& lhs, const modint& rhs) {
        lhs.n += rhs.n;
        if (lhs.n >= mod) lhs.n -= mod;
        return lhs;
    }
    friend modint &operator-=(modint& lhs, const modint& rhs) {
        lhs.n -= rhs.n;
        if (lhs.n < 0) lhs.n += mod;
        return lhs;
    }
    friend modint &operator*=(modint& lhs, const modint& rhs) {
        lhs.n = (lhs.n * rhs.n) % mod;
        return lhs;
    }
    friend modint &operator/=(modint& lhs, const modint& rhs) {
        lhs.n = (lhs.n * (~rhs).n) % mod;
        return lhs;
    }
    friend modint operator+(const modint& lhs, const modint& rhs) {
        return modint(lhs.n + rhs.n);
    }
    friend modint operator-(const modint& lhs, const modint& rhs) {
        return modint(lhs.n - rhs.n);
    }
    friend modint operator*(const modint& lhs, const modint& rhs) {
        return modint(lhs.n * rhs.n);
    }
    friend modint operator/(const modint& lhs, const modint& rhs) {
        return modint(lhs.n * (~rhs).n);
    }
};
istream& operator>>(istream& is, modint m) { is >> m.n; return is; }
ostream& operator<<(ostream& os, modint m) { os << m.n; return os; }
 
#define MAX_N 1010101
long long extgcd(long long a, long long b, long long& x, long long& y) {
    long long d = a;
    if (b != 0) {
        d = extgcd(b, a % b, y, x);
        y -= (a / b) * x;
    } else {
        x = 1; y = 0;
    }
    return d;
}
long long mod_inverse(long long a, long long m) {
    long long x, y;
    if(extgcd(a, m, x, y) == 1) return (m + x % m) % m;
    else return -1;
}
vector<long long> fact(MAX_N+1, inf);
long long mod_fact(long long n, long long& e) {
    if(fact[0] == inf) {
        fact[0]=1;
        if(MAX_N != 0) fact[1]=1;
        for(ll i = 2; i <= MAX_N; ++i) {
            fact[i] = (fact[i-1] * i) % mod;
        }
    }
    e = 0;
    if(n == 0) return 1;
    long long res = mod_fact(n / mod, e);
    e += n / mod;
    if((n / mod) % 2 != 0) return (res * (mod - fact[n % mod])) % mod;
    return (res * fact[n % mod]) % mod;
}
// return nCk
long long mod_comb(long long n, long long k) {
    if(n < 0 || k < 0 || n < k) return 0;
    long long e1, e2, e3;
    long long a1 = mod_fact(n, e1), a2 = mod_fact(k, e2), a3 = mod_fact(n - k, e3);
    if(e1 > e2 + e3) return 0;
    return (a1 * mod_inverse((a2 * a3) % mod, mod)) % mod;
}
 
using mi = modint;
 
mi mod_pow(mi a, ll n) {
    mi ret = 1;
    mi tmp = a;
    while(n > 0) {
        if(n % 2) ret *= tmp;
        tmp = tmp * tmp;
        n /= 2;
    }
    return ret;
}
 
ll gcd(ll a, ll b) {
    if (b == 0) return a;
    return gcd(b, a % b);
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    string t;
    cin >> t;
    int d;
    cin >> d;
    int n = t.length();
    vector<mi> dp(10, 0);
    dp[0] = 1;
    vector<int> a(n, -1);
    REP(i, n) if(t[i] != '?') a[i] = t[i] - '0';
    REP(i, n) {
        vector<mi> ndp(10, 0);
        if(t[i] == '?') {
            REP(num, 10) REP(j, 10) {
                if(j + num >= 10) ndp[j + num - 9] += dp[j];
                else ndp[j + num] += dp[j];
            }
        } else {
            REP(j, 10) {
                if(j + a[i] >= 10) ndp[j + a[i] - 9] += dp[j];
                else ndp[j + a[i]] += dp[j];
            }
        }
        dp = ndp;
    }
    cout << dp[d] << endl;
    return 0;
}
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