結果

問題 No.1755 Almost Palindrome
ユーザー riano
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
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 1
other AC * 2
権限があれば一括ダウンロードができます
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

diff #
プレゼンテーションモードにする

#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))
// abm
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;
}
}
// matrix power
//modglobal
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;
}
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