結果
問題 | No.1755 Almost Palindrome |
ユーザー |
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提出日時 | 2021-11-20 15:15:48 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 309 ms / 2,000 ms |
コード長 | 5,784 bytes |
コンパイル時間 | 1,962 ms |
コンパイル使用メモリ | 175,528 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-06-11 16:26:53 |
合計ジャッジ時間 | 2,661 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 2 |
コンパイルメッセージ
main.cpp: In function 'std::vector<std::vector<long long int> > pw_matrix(std::vector<std::vector<long long int> >&, long long int)': main.cpp:148:1: warning: control reaches end of non-void function [-Wreturn-type] 148 | } | ^
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;}}//行列累乗 matrix power//modをglobalに定義しておくvector<vector<ll>> pw_matrix(vector<vector<ll>> &M,ll n){if(n==0){vector<vector<ll>> E = M;rep(i,M.size()){rep(j,M.size()){if(i==j) E[i][j] = 1;else E[i][j] = 0;}}return E;}if(n==1) return M;if(n%2==1){auto K = pw_matrix(M,n-1);int a = M.size();vector<vector<ll>> L(a,vector<ll>(a));rep(i,a){rep(j,a){ll b = 0;rep(k,a) b += (M[i][k]*K[k][j])%mod;L[i][j] = b%mod;}}return L;}if(n%2==0){auto K = pw_matrix(M,n/2);int a = M.size();vector<vector<ll>> L(a,vector<ll>(a));rep(i,a){rep(j,a){ll b = 0;rep(k,a) b += (K[i][k]*K[k][j])%mod;L[i][j] = b%mod;}}return L;}}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;}int main() {riano_; mint ans = 0;ll T; cin >> T;rep(ii,T){ll N; cin >> N; ans = 0;if(N%2==1){N--;ans = mint(pw(26,N/2,mod))*(mint(26*N)-mint(N*2)/mint(2));}else if(N==2){ans = 650;}else if(N>=4){ans += mint(650)*sum_r(1,mint(26),mint((N)/2));//cout << ans << endl;ans += mint(650)*mint(24*(N-2));if(N>=6){mint tmp = mint(650*25)*(mint(24*(N-2))*sum_r(1,26,(N-4)/2))+mint(650)*(mint((N-4)*pw(26,(N-4)/2,mod))-mint(2)-mint(2)*sum_r(26,26,(N-6)/2));// mint tmp2 = 0;// for(ll len=2;len<=N-4;len+=2){// mint s = mint(24*(N-2)+len)*mint(25);// rep(j,(len-2)/2){// s *= 26;// }// tmp2 += s;// }// cout << tmp << " " << tmp2*650 << endl;ans += tmp;}//cout << ans << endl;ans += mint(26*25*(N-2));if(N>=6){ans += mint(26*25*(N-2))*sum_r(25,mint(26),mint((N-4)/2));}}cout << ans << endl;}//cout << (mod+1-ans)%mod << endl;}