#792783 (C++14) No.2058 Binary String

• 問題: No.2058 Binary String
• ユーザー: auaua
• 提出日時: 2022-08-26 22:03:56
• 言語: C++14 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 61 ms / 2,000 ms
• コード長: 1,997 bytes
• コンパイル時間: 1,655 ms
• コンパイル使用メモリ: 167,840 KB
• 実行使用メモリ: 8,320 KB
• 最終ジャッジ日時: 2024-10-13 22:40:02
• 合計ジャッジ時間: 3,594 ms
• ジャッジサーバーID （参考情報）: judge5 / judge4

ファイルパターン	結果
sample	AC * 3
other	AC * 23

ソースコード

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#include<bits/stdc++.h>
using namespace std;
#include <unordered_set>
#include <random>
//#define int long long
#define REP(i,m,n) for(int i=(m);i<(n);i++)
#define rep(i,n) REP(i,0,n)
#define pb push_back
#define all(a) a.begin(),a.end()
#define rall(c) (c).rbegin(),(c).rend()
#define mp make_pair
#define endl '\n'
//#define vec vector<ll>
//#define mat vector<vector<ll> >
#define fi first
#define se second
#define double long double
typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll,ll> pll;
//typedef long double ld;
typedef complex<double> Complex;
const ll INF=1e9+7;
const ll MOD=998244353;
const ll inf=INF*INF;
const ll mod=MOD;
const ll inv2=499122177;
const ll MAX=200010;
const double PI=acos(-1.0);
typedef vector<vector<ll> > mat;
typedef vector<ll> vec;
ll dx[]={0,1,0,-1,-1,-1,1,1};
ll dy[]={1,0,-1,0,-1,1,-1,1};
string u="RDLU";
//Combination
long long extGCD(long long a,long long mod,long long &x,long long &y){
    if(mod==0){
        x=1;
        y=0;
        return a;
    }
    long long d=extGCD(mod,a%mod,y,x);
    y-=(a/mod)*x;
    return d;
}
long long invmod(long long a,long long mod){
    long long x,y;
    extGCD(a,mod,x,y);
    x%=mod;
    if(x<0)x+=mod;
    return x;
}
ll fac[MAX],finv[MAX],inv[MAX];
void combinit(){
    fac[0]=fac[1]=1;
    finv[0]=finv[1]=1;
    inv[1]=1;
    REP(i,2,MAX){
        fac[i]=fac[i-1]*i%mod;
        inv[i]=invmod(i,mod);
        finv[i]=finv[i-1]*inv[i]%mod;
    }
}
ll comb(ll n,ll k){
    if(n<k)return 0;
    if(n<0||k<0)return 0;
    return fac[n]*(finv[k]*finv[n-k]%mod)%mod;
}
//二分累乗
ll rui(ll a,ll b){
    ll res=1;
    ll x=a;
    while(b){
        if(b&1)res=res*x%mod;
        x=x*x%mod;
        b/=2;
    }
    return res;
}
void solve(){
    ll N,K;cin>>N>>K;
    combinit();
    ll ans=0;
    rep(i,N){
        ll s=comb(N-1,i)*rui(i,K)%mod;
        ans=(ans+s)%mod;
    }
    cout<<ans<<endl;
}
signed main(){
    //cin.tie(0);
    //ios::sync_with_stdio(false);
    solve();
}
 
 
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