#845150 (C++17) No.1757 Many Many Cards

• 問題: No.1757 Many Many Cards
• ユーザー: akua
• 提出日時: 2023-03-03 07:09:31
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 327 ms / 2,000 ms
• コード長: 5,759 bytes
• コンパイル時間: 1,908 ms
• コンパイル使用メモリ: 138,764 KB
• 実行使用メモリ: 12,600 KB
• 最終ジャッジ日時: 2024-09-17 21:49:23
• 合計ジャッジ時間: 6,704 ms
• ジャッジサーバーID （参考情報）: judge3 / judge4

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	38 ms; 10,904 KB
testcase_01	AC	38 ms; 10,868 KB
testcase_02	AC	39 ms; 10,936 KB
testcase_03	AC	38 ms; 11,088 KB
testcase_04	AC	37 ms; 10,976 KB
testcase_05	AC	35 ms; 11,116 KB
testcase_06	AC	38 ms; 11,120 KB
testcase_07	AC	37 ms; 11,076 KB
testcase_08	AC	37 ms; 11,008 KB
testcase_09	AC	38 ms; 10,900 KB
testcase_10	AC	38 ms; 11,024 KB
testcase_11	AC	38 ms; 11,060 KB
testcase_12	AC	38 ms; 11,028 KB
testcase_13	AC	37 ms; 11,032 KB
testcase_14	AC	37 ms; 11,012 KB
testcase_15	AC	37 ms; 11,008 KB
testcase_16	AC	38 ms; 11,104 KB
testcase_17	AC	36 ms; 11,044 KB
testcase_18	AC	36 ms; 11,008 KB
testcase_19	AC	38 ms; 11,016 KB
testcase_20	AC	37 ms; 10,904 KB
testcase_21	AC	82 ms; 11,992 KB
testcase_22	AC	225 ms; 12,492 KB
testcase_23	AC	237 ms; 12,164 KB
testcase_24	AC	153 ms; 12,020 KB
testcase_25	AC	200 ms; 12,312 KB
testcase_26	AC	39 ms; 11,052 KB
testcase_27	AC	102 ms; 11,412 KB
testcase_28	AC	254 ms; 12,232 KB
testcase_29	AC	191 ms; 11,832 KB
testcase_30	AC	51 ms; 11,340 KB
testcase_31	AC	40 ms; 11,004 KB
testcase_32	AC	128 ms; 12,396 KB
testcase_33	AC	79 ms; 12,396 KB
testcase_34	AC	77 ms; 12,148 KB
testcase_35	AC	92 ms; 11,288 KB
testcase_36	AC	327 ms; 12,600 KB
testcase_37	AC	325 ms; 12,508 KB
testcase_38	AC	37 ms; 11,000 KB

ソースコード

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//#include <atcoder/all>
#include <iostream> // cout, endl, cin
#include <string> // string, to_string, stoi
#include <vector> // vector
#include <algorithm> // min, max, swap, sort, reverse, lower_bound, upper_bound
#include <utility> // pair, make_pair
#include <tuple> // tuple, make_tuple
#include <cstdint> // int64_t, int*_t
#include <cstdio> // printf
#include <map> // map
#include <queue> // queue, priority_queue
#include <set> // set
#include <stack> // stack
#include <deque> // deque
#include <unordered_map> // unordered_map
#include <unordered_set> // unordered_set
#include <bitset> // bitset
#include <cctype> // isupper, islower, isdigit, toupper, tolower
#include <math.h>
#include <iomanip>
#include <functional>
using namespace std;  
//using namespace atcoder;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repi(i, a, b) for (int i = (int)(a); i < (int)(b); i++)
typedef long long ll;
typedef unsigned long long ull;
const ll inf=1e18;  
using graph = vector<vector<int> > ;
using P= pair<ll,ll>;  
using vi=vector<int>;
using vvi=vector<vi>;
using vll=vector<ll>; 
using vvll=vector<vll>;
using vp=vector<P>;
using vpp=vector<vp>;
using vd=vector<double>;
using vvd =vector<vd>;
//string T="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
//string S="abcdefghijklmnopqrstuvwxyz";
//g++ main.cpp -std=c++17 -I .  
//cout <<setprecision(20);
//cout << fixed << setprecision(10);
//cin.tie(0); ios::sync_with_stdio(false);
const double PI = acos(-1);
int vx[]={0,1,0,-1,-1,1,1,-1},vy[]={1,0,-1,0,1,1,-1,-1};
void putsYes(bool f){cout << (f?"Yes":"No") << endl;}
void putsYES(bool f){cout << (f?"YES":"NO") << endl;}
void putsFirst(bool f){cout << (f?"First":"Second") << endl;}
void debug(int test){cout << "TEST" << " " << test << endl;}
ll pow_pow(ll x,ll n,ll mod){
    if(n==0) return 1; 
    x%=mod;
    ll res=pow_pow(x*x%mod,n/2,mod);
    if(n&1)res=res*x%mod;
    return res;
}
ll gcd(ll x,ll y){
    if(y==0)return x;
    return gcd(y,x%y);
}
 
ll lcm(ll x,ll y){
    return ll(x/gcd(x,y))*y;
}
template<class T> bool chmin(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    else return false;
}
template<class T> bool chmax(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    else return false;
}
 
// https://youtu.be/L8grWxBlIZ4?t=9858
// https://youtu.be/ERZuLAxZffQ?t=4807 : optimize
// https://youtu.be/8uowVvQ_-Mo?t=1329 : division
ll mod =998244353;
struct mint {
  ll x; // typedef long long ll;
  mint(ll x=0):x((x%mod+mod)%mod){}
  mint operator-() const { return mint(-x);}
  mint& operator+=(const mint a) {
    if ((x += a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator-=(const mint a) {
    if ((x += mod-a.x) >= mod) x -= mod;
    return *this;
  }
  mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;}
  mint operator+(const mint a) const { return mint(*this) += a;}
  mint operator-(const mint a) const { return mint(*this) -= a;}
  mint operator*(const mint a) const { return mint(*this) *= a;}
  mint pow(ll t) const {
    if (!t) return 1;
    mint a = pow(t>>1);
    a *= a;
    if (t&1) a *= *this;
    return a;
  }
 
  // for prime mod
  mint inv() const { return pow(mod-2);}
  mint& operator/=(const mint a) { return *this *= a.inv();}
  mint operator/(const mint a) const { return mint(*this) /= a;}
};
istream& operator>>(istream& is, const mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}
// combination mod prime
// https://www.youtube.com/watch?v=8uowVvQ_-Mo&feature=youtu.be&t=1619
struct combination {
  vector<mint> fact, ifact;
  combination(int n):fact(n+1),ifact(n+1) {
    //assert(n < mod);
    fact[0] = 1;
    for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
    ifact[n] = fact[n].inv();
    for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
  }
  mint operator()(int n, int k) {
    if (k < 0 || k > n) return 0;
    return fact[n]*ifact[k]*ifact[n-k];
  } mint p(int n, int k) { return fact[n]*ifact[n-k]; } } c(500000); 
  using vm=vector<mint> ;
using vvm=vector<vm> ;
 
 
ll sqrt_(ll x) {
  ll l = 0, r = ll(3e9)+1;
  while (l+1<r) {
    ll c = (l+r)/2;
    if (c*c <= x) l = c; else r = c;
  }
  return l;
}
 
 
int valid(int x,int y,int h,int w){
  if(x>=0 && y>=0 && x<h && y<w)return 1;
  else return 0;
}
 
struct edge{
  int to; ll cost;
  edge(int to,ll cost) : to(to),cost(cost){}
};
//snuke
template<typename T>
struct Matrix {
  int h, w;
  vector<vector<T> > d;
  Matrix() {}
  Matrix(int h, int w, T val=0): h(h), w(w), d(h, vector<T>(w,val)) {}
  Matrix& unit() {
    //assert(h == w);
    rep(i,h) d[i][i] = 1;
    return *this;
  }
  const vector<T>& operator[](int i) const { return d[i];}
  vector<T>& operator[](int i) { return d[i];}
  Matrix operator*(const Matrix& a) const {
    //assert(w == a.h);
    Matrix r(h, a.w);
    rep(i,h)rep(k,w)rep(j,a.w) {
      r[i][j] += d[i][k]*a[k][j];
    }
    return r;
  }
  Matrix pow(ll t) const {
  //  assert(h == w);
    if (!t) return Matrix(h,h).unit();
    if (t == 1) return *this;
    Matrix r = pow(t>>1);
    r = r*r;
    if (t&1) r = r*(*this);
    return r;
  }
};
using ve=vector<edge>;
using vve=vector<ve>;
//g++ main.cpp -std=c++17 -I .
int main(){cin.tie(0);ios::sync_with_stdio(false);
  int n,m; cin >> n >> m; 
  int n2=n*2;
  mint ans=(pow_pow(m,n2,mod)-pow_pow(m-1,n2,mod))*m;
  vm kai(m+1,1);
  for(int i=1; i<=m; i++)kai[i]=kai[i-1]*i;
  for(int i=2; i<=m; i++){
     int e=i-1;
     if(e>n)break;
     mint now=pow_pow(i,i-2,mod);
     now*=c(m,i);
     now*=c(n,e)*pow_pow(2,e,mod)*kai[e];
     now*=pow_pow(m-i,(n-e)*2,mod);
     ans-=now;
  }
  cout << ans << endl;
  
}