結果

問題 No.3178 free sort
ユーザー iomir
提出日時 2025-06-13 21:54:45
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 101 ms / 2,000 ms
コード長 3,860 bytes
コンパイル時間 2,793 ms
コンパイル使用メモリ 281,976 KB
実行使用メモリ 27,204 KB
最終ジャッジ日時 2025-06-13 21:54:56
合計ジャッジ時間 8,192 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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ファイルパターン 結果
sample AC * 5
other AC * 40
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<bits/stdc++.h>
//#include <atcoder/all>
using namespace std;
//using namespace atcoder;

#define all(v) v.begin(),v.end()
using ll = long long;
using ull = unsigned long long;
using lll = __int128;
using vll=vector<ll>;
using vvll = vector<vector<ll>>;
using P = pair<ll,ll>;
using vp=vector<pair<ll, ll>>;
//using mint=modint1000000007;
//using mint=modint998244353;

const ll INF=1ll<<60;
ll mod10=1e9+7;
ll mod99=998244353;
const double PI = acos(-1);

#define rep(i,n) for (ll i=0;i<n;++i)
#define per(i,n) for(ll i=n-1;i>=0;--i)
#define rep2(i,a,n) for (ll i=a;i<n;++i)
#define per2(i,a,n) for (ll i=a;i>=n;--i)

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return true; } return false; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return true; } return false; }

template <long long MOD>
struct modint {
    long long value;
    modint(long long x = 0) {
        if (x >= 0) {
            value = x % MOD;
        } else {
            value = MOD - (-x) % MOD;
        }
    }
    modint operator-() const {
        return modint(-value);
    }
    modint operator+() const {
        return modint(*this);
    }
    modint &operator+=(const modint &other) {
        value += other.value;
        if (value >= MOD) {
            value -= MOD;
        }
        return *this;
    }
    modint &operator-=(const modint &other) {
        value += MOD - other.value;
        if (value >= MOD) {
            value -= MOD;
        }
        return *this;
    }
    modint &operator*=(const modint other) {
        value = value * other.value % MOD;
        return *this;
    }
    modint &operator/=(modint other) {
        (*this) *= other.inv();
        return *this;
    }
    modint operator+(const modint &other) const {
        return modint(*this) += other;
    }
    modint operator-(const modint &other) const {
        return modint(*this) -= other;
    }
    modint operator*(const modint &other) const {
        return modint(*this) *= other;
    }
    modint operator/(const modint &other) const {
        return modint(*this) /= other;
    }
    modint pow(long long x) const {
        modint ret(1), mul(value);
        while (x > 0) {
            if (x % 2 == 1) {
                ret *= mul;
            }
            mul *= mul;
            x /= 2;
        }
        return ret;
    }
    modint inv() const {
        return pow(MOD - 2);
    }
    bool operator==(const modint &other) const {
        return value == other.value;
    }
    bool operator!=(const modint &other) const {
        return value != other.value;
    }
    friend std::ostream &operator<<(std::ostream &os, const modint &x) {
        return os << x.value;
    }
    friend std::istream &operator>>(std::istream &is, modint &x) {
        long long v;
        is >> v;
        x = modint<MOD>(v);
        return is;
    }
};

using mint = modint<998244353>;
using mod107 = modint<1000000007>;

vector<ll> fact,invfact,inv;

void init(ll N,ll mod){
    fact.resize(N+5);
    inv.resize(N+5);
    invfact.resize(N+5);
    fact[0]=1;fact[1]=1;
    invfact[0]=1;invfact[1]=1;
    inv[0]=1;inv[1]=1;
    for(int i=2;i<N+3;i++){
        fact[i]=fact[i-1]*i%mod;
        inv[i]=mod-inv[mod%i]*(mod/i)%mod;
        invfact[i] = invfact[i-1]*inv[i]%mod;
    }
}
ll nCk(ll n,ll x,ll mod){
    return fact[n]*invfact[n-x]%mod*invfact[x]%mod;
}

bool solve(){
    string S;cin>>S;
    ll N=S.size();
    vll cnt(10);
    rep(i,N) cnt[S[i]-'0']++;
    mint ans=fact[N];rep(i,10) ans/=fact[cnt[i]];
    if(cnt[0]==0){
        cout << ans << endl;
        return 0;
    }
    mint ans2=(mint)fact[N-1]/fact[cnt[0]-1];rep2(i,1,10) ans2/=fact[cnt[i]];
    cout << ans-ans2 << endl;
    return 0;
}




int main(){
    init(1000000,mod99);
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll T=1;//cin>>T;
    rep(i,T) solve();
}
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