結果

問題 No.1953 ８
ユーザー 🍮かんプリン🍮かんプリン
提出日時 2022-10-30 11:46:19
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 3 ms / 2,000 ms
コード長 7,349 bytes
コンパイル時間 2,305 ms
コンパイル使用メモリ 190,832 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-07 04:41:51
合計ジャッジ時間 5,317 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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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 3 ms
6,940 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 1 ms
6,944 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,944 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 1 ms
6,940 KB
testcase_12 AC 2 ms
6,944 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,944 KB
testcase_15 AC 2 ms
6,940 KB
testcase_16 AC 2 ms
6,944 KB
testcase_17 AC 2 ms
6,940 KB
testcase_18 AC 2 ms
6,944 KB
testcase_19 AC 2 ms
6,944 KB
testcase_20 AC 2 ms
6,940 KB
testcase_21 AC 2 ms
6,940 KB
testcase_22 AC 2 ms
6,944 KB
testcase_23 AC 2 ms
6,944 KB
testcase_24 AC 2 ms
6,940 KB
testcase_25 AC 2 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 2 ms
6,940 KB
testcase_28 AC 2 ms
6,940 KB
testcase_29 AC 2 ms
6,944 KB
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ソースコード

diff # 

/**
 *   @FileName	a.cpp
 *   @Author	kanpurin
 *   @Created	2022.10.30 11:46:15
**/

#include "bits/stdc++.h" 
using namespace std; 
typedef long long ll;


template< int MOD >
struct mint {
public:
    unsigned int x;
    mint() : x(0) {}
    mint(long long v) {
        long long w = (long long)(v % (long long)(MOD));
        if (w < 0) w += MOD;
        x = (unsigned int)(w);
    }
    mint(std::string &s) {
        unsigned int z = 0;
        for (int i = 0; i < s.size(); i++) {
            z *= 10;
            z += s[i] - '0';
            z %= MOD;
        }
        x = z;
    }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint& operator+=(const mint &a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint &a) {
        if ((x -= a.x) >= MOD) x += MOD;
        return *this;
    }
    mint& operator*=(const mint &a) {
        unsigned long long z = x;
        z *= a.x;
        x = (unsigned int)(z % MOD);
        return *this;
    }
    mint& operator/=(const mint &a) {return *this = *this * a.inv(); }
    friend mint operator+(const mint& lhs, const mint& rhs) {
        return mint(lhs) += rhs;
    }
    friend mint operator-(const mint& lhs, const mint& rhs) {
        return mint(lhs) -= rhs;
    }
    friend mint operator*(const mint& lhs, const mint& rhs) {
        return mint(lhs) *= rhs;
    }
    friend mint operator/(const mint& lhs, const mint& rhs) {
        return mint(lhs) /= rhs;
    }
    friend bool operator==(const mint& lhs, const mint& rhs) {
        return lhs.x == rhs.x;
    }
    friend bool operator!=(const mint& lhs, const mint& rhs) {
        return lhs.x != rhs.x;
    }
    friend std::ostream& operator<<(std::ostream &os, const mint &n) {
        return os << n.x;
    }
    friend std::istream &operator>>(std::istream &is, mint &n) {
        unsigned int x;
        is >> x;
        n = mint(x);
        return is;
    }
    mint inv() const {
        assert(x);
        return pow(MOD-2);
    }
    mint pow(long long n) const {        
        assert(0 <= n);
        mint p = *this, r = 1;
        while (n) {
            if (n & 1) r *= p;
            p *= p;
            n >>= 1;
        }
        return r;
    }
    
    mint sqrt() const {
        if (this->x < 2) return *this;
        if (this->pow((MOD-1)>>1).x != 1) return mint(0);
        mint b = 1, one = 1;
        while (b.pow((MOD-1) >> 1) == 1) b += one;
        long long m = MOD-1, e = 0;
        while (m % 2 == 0) m >>= 1, e += 1;
        mint x = this->pow((m - 1) >> 1);
        mint y = (*this) * x * x;
        x *= (*this);
        mint z = b.pow(m);
        while (y.x != 1) {
            int j = 0;
            mint t = y;
            while (t != one) j += 1, t *= t;
            z = z.pow(1LL << (e-j-1));
            x *= z; z *= z; y *= z; e = j;
        }
        return x;
    }
};

constexpr int MOD = 998244353;

struct Monoid {
    ll val;
    ll leading_zero;
    ll num;
    bool undef = true;
    Monoid() { *this = zero(); }
    Monoid(ll val, ll leading_zero, ll num, bool undef = true) : val(val),
                                                leading_zero(leading_zero),
                                                num(num),
                                               undef(undef) {}
    static Monoid zero() { return Monoid(0,0,0); }
    static Monoid e() { return Monoid(0,1,0,false); }
    Monoid& operator+=(const Monoid &a) {
        if (this->undef) *this = a;
        else if (!a.undef) {
            this->val += a.val;
            this->leading_zero += a.leading_zero;
            this->num += a.num;
        }
        return *this;
    }
    Monoid& operator*=(int c) {
        if (c == 0) {
            this->val += this->num;
        }
        else {
            if (c == 4 || c == 6 || c == 9) {
                this->val += this->num+this->leading_zero;
            }
            else if (c == 8) {
                this->val += (this->num+this->leading_zero)*2;
            }
            this->num += this->leading_zero;
            this->leading_zero = 0;
        }
        return *this;
    }
    friend Monoid operator+(const Monoid& a, const Monoid& b) {
        return Monoid(a) += b;
    }
    friend Monoid operator*(const Monoid& a, int c) {
        return Monoid(a) *= c;
    }
    friend std::ostream& operator<<(std::ostream &os, const Monoid &x) {
        return os << x.val;
    }
};

struct Automaton {
    vector<vector<int>> delta;
    vector<bool> is_accept, is_reject;
    int init;
    int alphabet_size = 10;
    int next(int state, int c) const { return delta[state][c]; }
    bool accept(int state) const { return is_accept[state]; }
    bool reject(int state) const { return is_reject[state]; }
    int size() const {return delta.size(); }
};

struct SimpleAutomaton : public Automaton {
private:
    void set_init() { init = 0; }

    void set_delta() {
        int qsize = 1;
        delta.resize(qsize,vector<int>(alphabet_size));
        for (int c = 0; c < alphabet_size; c++) {
            delta[0][c] = 0;
        }
    }

    void set_is_accept() {
        int qsize = 1;
        is_accept.resize(qsize);
        for (int state = 0; state < qsize; state++) {
            is_accept[state] = true;
        }
    }

    void set_is_reject() {
        int qsize = 1;
        is_reject.resize(qsize);
        for (int state = 0; state < qsize; state++) {
            is_reject[state] = false;
        }
    }
public:
    SimpleAutomaton(int alpha_size = 10) {
        alphabet_size = alpha_size;
        set_init();
        set_delta();
        set_is_accept();
        set_is_reject();
    }
};

template<typename Automaton>
Monoid digitDP(const string &s, const Automaton &dfa, bool eq = 1) {
    vector<int> alpha(dfa.alphabet_size);
    iota(alpha.begin(), alpha.end(), 0);
    vector<vector<Monoid>> dp(2,vector<Monoid>(dfa.size(),Monoid::zero()));
    dp[1][dfa.init] = Monoid::e();
    for (int i = 0; i < s.size(); i++) {
        vector<vector<Monoid>> dp2(2,vector<Monoid>(dfa.size(),Monoid::zero()));
        for (int tight = 0; tight <= 1; tight++) {
            for (int state = 0; state < dfa.size(); state++) {
                if (dfa.reject(state) || dp[tight][state].undef) continue;
                int lim = (tight ? s[i] - '0' : dfa.alphabet_size - 1);
                for (int c = 0; c <= lim; c++) {
                    int tight_ = tight && c == lim;
                    int state_ = dfa.next(state,c);
                    if (dfa.reject(state_)) continue;
                    dp2[tight_][state_] += dp[tight][state]*c;
                }
            }
        }
        dp = dp2;
    }
    Monoid ans = Monoid::zero();
    for (int tight = 0; tight <= eq; tight++)
        for (int state = 0; state < dfa.size(); state++)
            if (dfa.accept(state)) ans += dp[tight][state];
    return ans;
}

int main() {
    ll n;cin >> n;
    ll l = 0, r = 99193752409910740;
    auto M1 = SimpleAutomaton();
    while(r-l>1) {
        ll mid = (l+r)/2;
        if (n <= digitDP(to_string(mid),M1).val) {
            r = mid;
        }
        else {
            l = mid;
        }
    }
    if (n == digitDP(to_string(r),M1).val) {
        cout << r << endl;
    }
    else {
        puts("-1");
    }
    return 0;
}
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