結果

問題 No.3178 free sort
ユーザー GOTKAKO
提出日時 2025-06-13 21:24:56
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 8 ms / 2,000 ms
コード長 6,173 bytes
コンパイル時間 2,034 ms
コンパイル使用メモリ 201,636 KB
実行使用メモリ 7,848 KB
最終ジャッジ日時 2025-06-13 21:25:00
合計ジャッジ時間 3,338 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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ファイルパターン 結果
sample AC * 5
other AC * 40
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;

//入力が必ず-mod<a<modの時.
template<const int mod>
struct modint{ //mod変更が不可能.
    public:
    long long v = 0;
    static void setmod(int m){} //飾り.
    static constexpr long long getmod(){return mod;}
    modint(){v = 0;} modint(int a){v = a<0?a+mod:a;} modint(long long a){v = a<0?a+mod:a;}
    modint(unsigned int a){v = a;} modint(unsigned long long a){v = a;}
    long long val()const{return v;}
 
    modint &operator=(const modint &b) = default;
    modint operator+()const{return (*this);}
    modint operator-()const{return modint(0)-(*this);}
    modint operator+(const modint b)const{return modint(v)+=b;}
    modint operator-(const modint b)const{return modint(v)-=b;}
    modint operator*(const modint b)const{return modint(v)*=b;}
    modint operator/(const modint b)const{return modint(v)/=b;}
    modint operator+=(const modint b){
        v += b.v; if(v >= mod) v -= mod;
        return *this;
    }
    modint operator-=(const modint b){
        v -= b.v; if(v < 0) v += mod; 
        return *this;
    }   
    modint operator*=(const modint b){v = v*b.v%mod; return *this;}
    modint operator/=(modint b){ //b!=0 mod素数が必須.
        if(b == 0) assert(false);
        int left = mod-2;
        while(left){if(left&1) *this *= b; b *= b; left >>= 1;}
        return *this;
    }
    modint operator++(){*this += 1; return *this;}
    modint operator--(){*this -= 1; return *this;}
    modint operator++(int){*this += 1; return *this;}
    modint operator--(int){*this -= 1; return *this;}
    bool operator==(const modint b)const{return v == b.v;}
    bool operator!=(const modint b)const{return v != b.v;}
    bool operator>(const modint b)const{return v > b.v;}
    bool operator>=(const modint b)const{return v >= b.v;}
    bool operator<(const modint b)const{return v < b.v;}
    bool operator<=(const modint b)const{return v <= b.v;}
    modint pow(long long n)const{
        modint ret = 1,p = v;
        if(n < 0) p = p.inv(),n = -n;
        while(n){
            if(n&1) ret *= p;
            p *= p; n >>= 1;
        }
        return ret;
    }
    modint inv()const{return modint(1)/v;} //素数mod必須.
};
 
template<int idx> //modが入力で与えられる場合. 
struct dynamic_modint{ //mod変更が可能 最初にsetmod必須 idxで複数個所持が可能.
    private:
    static int mod;
    public:
    long long v = 0;
    static constexpr long long getmod(){return mod;}
    static void setmod(int m){
        assert(m > 0);
        mod = m;
    }
    dynamic_modint(){v = 0;}
    dynamic_modint(int a){v = a<0?a+mod:a;} dynamic_modint(long long a){v = a<0?a+mod:a;}
    dynamic_modint(unsigned int a){v = a;}
    dynamic_modint(unsigned long long a){v = a;}
    long long val()const{return v;}
 
    dynamic_modint &operator=(const dynamic_modint &b) = default;
    dynamic_modint operator+()const{return (*this);}
    dynamic_modint operator-()const{return dynamic_modint(0)-(*this);}
    dynamic_modint operator+(const dynamic_modint b)const{return dynamic_modint(v)+=b;}
    dynamic_modint operator-(const dynamic_modint b)const{return dynamic_modint(v)-=b;}
    dynamic_modint operator*(const dynamic_modint b)const{return dynamic_modint(v)*=b;}
    dynamic_modint operator/(const dynamic_modint b)const{return dynamic_modint(v)/=b;}
    dynamic_modint operator+=(const dynamic_modint b){
        v += b.v; if(v >= mod) v -= mod;
        return *this;
    }
    dynamic_modint operator-=(const dynamic_modint b){
        v -= b.v; if(v < 0) v += mod; 
        return *this;
    }   
    dynamic_modint operator*=(const dynamic_modint b){v = v*b.v%mod; return *this;}
    dynamic_modint operator/=(dynamic_modint b){ //b!=0 mod素数が必須.
        if(b == 0) assert(false);
        int left = mod-2;
        while(left){if(left&1) *this *= b; b *= b; left >>= 1;}
        return *this;
    }
    dynamic_modint operator++(){*this += 1; return *this;}
    dynamic_modint operator--(){*this -= 1; return *this;}
    dynamic_modint operator++(int){*this += 1; return *this;}
    dynamic_modint operator--(int){*this -= 1; return *this;}
    bool operator==(const dynamic_modint b)const{return v == b.v;}
    bool operator!=(const dynamic_modint b)const{return v != b.v;}
    bool operator>(const dynamic_modint b)const{return v > b.v;}
    bool operator>=(const dynamic_modint b)const{return v >= b.v;}
    bool operator<(const dynamic_modint b)const{return v < b.v;}
    bool operator<=(const dynamic_modint b)const{return v <= b.v;}
    dynamic_modint pow(long long n)const{
        dynamic_modint ret = 1,p = v;
        if(n < 0) p = p.inv(),n = -n;
        while(n){
            if(n&1) ret *= p;
            p *= p; n >>= 1;
        }
        return ret;
    }
    dynamic_modint inv()const{return dynamic_modint(1)/v;} //素数mod必須.
};
template<int idx> int dynamic_modint<idx>::mod=998244353;
using mint = modint<998244353>;
//using mint = modint<1000000007>;
//using mint = dynamic_modint<0>;

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    string N; cin >> N;
    vector<int> ap(10);
    for(auto &c : N) ap.at(c-'0')++;

    int n = N.size();
    int Limit = n; //Limit->必要なサイズ fac->x! facinv->1/x! inv->1/x.
    vector<mint> fac(Limit+1,1),facinv(Limit+1);
    {
        int mod = mint::getmod(),invstart = min(mod-1,Limit); 
        for(int i=1; i<=Limit; i++) fac.at(i) = fac.at(i-1)*i;
        facinv.at(invstart) = fac.at(invstart).inv();
        for(int i=invstart-1; i>=0; i--) facinv.at(i) = facinv.at(i+1)*(i+1);
    }
    //vector<mint> inv(Limit+1); for(int i=1; i<=Limit; i++) inv.at(i) = fac.at(i-1)*facinv.at(i); //必要なら解放.
    auto nCr = [&](int n,int r) -> mint {
        if(n < r || r < 0 || n < 0) return 0;
        return fac.at(n)*facinv.at(r)*facinv.at(n-r);
    };
    int s = 0;
    mint answer = 1;
    for(auto a : ap) s += a,answer *= nCr(s,a);
    if(ap.at(0) > 0){
        s = ap.at(0)-1;
        mint minus = 1;
        for(int i=1; i<10; i++) s += ap.at(i),minus *= nCr(s,ap.at(i));
        answer -= minus;
    }
    cout << answer.v << endl;
}
0