結果
問題 | No.1757 Many Many Cards |
ユーザー |
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提出日時 | 2021-11-20 16:02:21 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
MLE
|
実行時間 | - |
コード長 | 4,474 bytes |
コンパイル時間 | 1,669 ms |
コンパイル使用メモリ | 172,440 KB |
実行使用メモリ | 814,592 KB |
最終ジャッジ日時 | 2024-06-11 17:28:02 |
合計ジャッジ時間 | 3,243 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | MLE * 1 -- * 35 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define ll long long#define rep(i,n) for(int i=0;i<n;i++)#define rrep(i,n) for(int i=n-1;i>=0;i--)#define rrep2(i,n,k) for(int i=n-1;i>=n-k;i--)#define vll(n,i) vector<long long>(n,i)#define v2ll(n,m,i) vector<vector<long long>>(n,vll(m,i))#define v3ll(n,m,k,i) vector<vector<vector<long long>>>(n,v2ll(m,k,i))#define v4ll(n,m,k,l,i) vector<vector<vector<vector<long long>>>>(n,v3ll(m,k,l,i))#define all(v) v.begin(),v.end()#define chmin(k,m) k = min(k,m)#define chmax(k,m) k = max(k,m)#define Pr pair<ll,ll>#define Tp tuple<int,int,int>#define riano_ std::ios::sync_with_stdio(false);std::cin.tie(nullptr)using Graph = vector<vector<int>>;const ll mod = 998244353;template<uint64_t mod>struct modint{uint64_t val;constexpr modint(const int64_t val_=0) noexcept:val((val_%int64_t(mod)+int64_t(mod))%int64_t(mod)){}constexpr modint operator-() const noexcept{return modint(*this)=mod-val;}constexpr modint operator+(const modint rhs) const noexcept{return modint(*this)+=rhs;}constexpr modint operator-(const modint rhs) const noexcept{return modint(*this)-=rhs;}constexpr modint operator*(const modint rhs) const noexcept{return modint(*this)*=rhs;}constexpr modint operator/(const modint rhs) const noexcept{return modint(*this)/=rhs;}constexpr modint &operator+=(const modint rhs) noexcept{val+=rhs.val;val-=((val>=mod)?mod:0);return (*this);}constexpr modint &operator-=(const modint rhs) noexcept{val+=((val<rhs.val)?mod:0);val-=rhs.val;return (*this);}constexpr modint &operator*=(const modint rhs) noexcept{val=val*rhs.val%mod;return (*this);}constexpr modint &operator/=(modint rhs) noexcept{uint64_t ex=mod-2;modint now=1;while(ex){now*=((ex&1)?rhs:1);rhs*=rhs,ex>>=1;}return (*this)*=now;}modint & operator++(){val++;if (val == mod) val = 0;return *this;}modint operator++(int){modint<mod> res = *this;++*this;return res;}constexpr bool operator==(const modint rhs) noexcept{return val==rhs.val;}constexpr bool operator!=(const modint rhs) noexcept{return val!=rhs.val;}friend constexpr ostream &operator<<(ostream& os,const modint x) noexcept{return os<<(x.val);}friend constexpr istream &operator>>(istream& is,modint& x) noexcept{uint64_t t;is>>t,x=t;return is;}};typedef modint<mod> mint;#define vm(n,i) vector<mint>(n,i)#define v2m(n,m,i) vector<vector<mint>>(n,vm(m,i))#define v3m(n,m,k,i) vector<vector<vector<mint>>>(n,v2m(m,k,i))#define v4m(n,m,k,l,i) vector<vector<vector<vector<mint>>>>(n,v3m(m,k,l,i))//累乗 aのb乗、正しmを法として求めるlong long pw(long long a,long long b,long long m){if(b==0) return 1;else if(b%2==0){long long x = pw(a,b/2,m);return (x*x)%m;}else{long long x = pw(a,b-1,m);return (a*x)%m;}}mint sum_r(mint a,mint r, mint n){if(n==0) return mint(0);mint res = a*mint(pw(r.val,n.val,mod)-1)/(r-mint(1));return res;}//Combination2//10^6くらいまで//modはグローバルに定義しておくlong long modinv(long long a, long long m) {long long b = m, u = 1, v = 0;while (b) {long long t = a / b;a -= t * b; swap(a, b);u -= t * v; swap(u, v);}u %= m;if (u < 0) u += m;return u;}vector<ll> fact;vector<ll> invf;ll comb(ll n,ll k){if(n<0||k<0||k>n) return 0LL;else{ll a = fact[n]*invf[k]%mod;a = a*invf[n-k]%mod;return a;}}int main() {riano_; mint ans = 0;ll N,M; cin >> N >> M;//main関数内に以下ペースト//N:maxll L = max(N+1,M+1);fact.assign(L+1,1LL);invf.assign(L+1,1LL);rep(i,L) fact[i+1] = fact[i]*(i+1)%mod;rep(i,L+1) invf[i] = modinv(fact[i],mod);ans = mint(M)*(mint(pw(M,2*N,mod))-mint(pw(M-1,2*N,mod)));for(ll i=2;i<=M;i++){mint f = mint(pw(M-i,2*(N-i+1),mod))*mint(comb(N,i-1))*mint(pw(i,i-2,mod))*mint(pw(2,i-1,mod))*mint(fact[i-1]);ans -= f*mint(comb(M,i));}cout << ans << endl;}