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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#26078#2551. Math StringMr_EightAC ✓3ms3752kbC++144.0kb2022-04-06 10:36:502022-04-29 02:53:04

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-04-29 02:53:04]
  • 评测
  • 测评结果:AC
  • 用时:3ms
  • 内存:3752kb
  • [2022-04-06 10:36:50]
  • 提交

answer

//#include <bits/stdc++.h>
#include <iostream>
#include <iomanip>
#include <math.h>
#include <cmath>
#include <algorithm>
#include <climits>
#include <functional>
#include <cstring>
#include <string>
#include <cstdlib>
#include <ctime>
#include <cstdio>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <complex>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#define itn int
#define nit int
#define ll long long
#define ms multiset
#define F(i,a,b) for(register int i=a,i##end=b;i<=i##end;++i)
#define UF(i,a,b) for(register int i=a,i##end=b;i>=i##end;--i)
#define re register
#define ri re int
#define il inline
#define pii pair<int,int>
#define cp complex<double>
//#pra gma G CC opti mize(3)
using namespace std;
using std::bitset;
//using namespace __gnu_pbds;
const double Pi=acos(-1);
namespace fastIO {
	template<class T>
	inline void read(T &x) {
		x=0;
		bool fu=0;
		char ch=0;
		while(ch>'9'||ch<'0') {
			ch=getchar();
			if(ch=='-')fu=1;
		}
		while(ch<='9'&&ch>='0') x=(x*10-48+ch),ch=getchar();
		if(fu)x=-x;
	}
	inline int read() {
		int x=0;
		bool fu=0;
		char ch=0;
		while(ch>'9'||ch<'0') {
			ch=getchar();
			if(ch=='-')fu=1;
		}
		while(ch<='9'&&ch>='0') x=(x*10-48+ch),ch=getchar();
		return fu?-x:x;
	}
	char _n_u_m_[40];
	template<class T>
	inline void write(T x ) {
		if(x==0){
			putchar('0');
			return;
		}
		T tmp = x > 0 ? x : -x ;
		if( x < 0 ) putchar('-') ;
		register int cnt = 0 ;
		while( tmp > 0 ) {
			_n_u_m_[ cnt ++ ] = tmp % 10 + '0' ;
			tmp /= 10 ;
		}
		while( cnt > 0 ) putchar(_n_u_m_[ -- cnt ]) ;
	}
	template<class T>
	inline void write(T x ,char ch) {
		write(x);
		putchar(ch);
	}
}
using namespace fastIO;
#define mod 998244353
template<int N,int M>
struct mat {
	long long v[N+1][M+1];
	mat() {
		memset(v,0,sizeof(v));
	}
	long long & operator()(register int xpos,register int ypos) {
		return v[xpos][ypos];
	}
	long long * operator[](register int xpos) {
		return v[xpos];
	}
	inline int Nsize() {
		return N;
	} inline int Msize() {
		return M;
	}
};
template<int N,int M,int K>
inline mat<N,K> operator*(mat<N,M> a,mat<M,K> b) {
	mat<N,K>rt;
	for(register int i=1; i<=N; i++) {
		for(register int j=1; j<=K; j++) {
			for(register int k=1; k<=M; k++) {
				rt.v[i][j]+=a.v[i][k]*b.v[k][j];
#ifdef mod
				rt.v[i][j]%=mod;
#else
#warning mod is not defined
#endif
			}
		}
	}
	return rt;
}
template<int N,int M>
inline mat<N,M> operator*(mat<N,M> a,long long x) {
	mat<N,M>rt;
	for(register int i=1; i<=N; i++) {
		for(register int j=1; j<=M; j++) {
#ifdef mod
			rt.v[i][j]=a.v[i][j]*x%mod;
#else
			rt.v[i][j]=a.v[i][j]*x;
#endif
		}
	}return rt;
}
template<int N,int M>
inline mat<N,M> operator+(mat<N,M> a,mat<N,M> b) {
	mat<N,M>rt;
	for(register int i=1; i<=N; i++) {
		for(register int j=1; j<=M; j++) {
#ifdef mod
			rt.v[i][j]=((a.v[i][j]+b.v[i][j]<mod)?(a.v[i][j]+b.v[i][j]):(a.v[i][j]+b.v[i][j]-mod));
#else
			rt.v[i][j]=a.v[i][j]+b.v[i][j];
#endif
		}
	}return rt;
}
template<int N>
inline mat<N,N> pw(mat<N,N> bot,long long p) {
	mat<N,N>rt;
	F(i,1,N)rt.v[i][i]=1;
	while(p) {
		if(p&1) {
			rt=rt*bot;
		}
		bot=bot*bot,p>>=1;
	}
	return rt;
}
struct S{
	mat<4,4> a,b,c,d;
};
inline S operator*(S x,S y){
	return {x.a*y.a+x.b*y.c,x.a*y.b+x.b*y.d,x.c*y.a+x.d*y.c,x.c*y.b+x.d*y.d};
}
inline S pw(S bot,long long p) {
	S rt;
	F(i,1,4)rt.a[i][i]=rt.d[i][i]=1;
//	F(i,1,p)rt=rt*bot;
//	return rt;
	while(p) {
		if(p&1) {
			rt=rt*bot;
		}
		bot=bot*bot,p>>=1;
	}
	return rt;
}
mat<4,4>base,T1,T2,T3;
S B,TB;
int main() {//1,082,565 101331
	base[1][2]=45,base[1][3]=9,base[1][4]=9;
	T1[1][1]=T1[3][3]=T1[4][4]=9,T1[2][2]=90,T1[3][2]=45;
	T2[1][1]=T2[2][1]=T2[4][3]=T2[4][4]=1;
	T3[1][1]=T3[2][3]=T3[4][4]=1;
	B.a=base;
	TB.a=TB.c=T1,TB.b=T2+T3;
	ll n;cin>>n;
	B=B*pw(TB,n-1);
	cout<<(B.a[1][1]+B.a[1][2])%mod;
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 3ms
memory: 3572kb

input:

1

output:

45

result:

ok answer is '45'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

3

output:

407430

result:

ok answer is '407430'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

1000000000000000000

output:

493565653

result:

ok answer is '493565653'

Test #4:

score: 0
Accepted
time: 3ms
memory: 3624kb

input:

999999999999999254

output:

963821656

result:

ok answer is '963821656'

Test #5:

score: 0
Accepted
time: 3ms
memory: 3620kb

input:

2

output:

4455

result:

ok answer is '4455'

Test #6:

score: 0
Accepted
time: 3ms
memory: 3600kb

input:

999999999999999062

output:

256461144

result:

ok answer is '256461144'

Test #7:

score: 0
Accepted
time: 1ms
memory: 3652kb

input:

4

output:

36934785

result:

ok answer is '36934785'

Test #8:

score: 0
Accepted
time: 3ms
memory: 3744kb

input:

5

output:

350210541

result:

ok answer is '350210541'

Test #9:

score: 0
Accepted
time: 1ms
memory: 3552kb

input:

6

output:

427185456

result:

ok answer is '427185456'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

7

output:

991901155

result:

ok answer is '991901155'

Test #11:

score: 0
Accepted
time: 3ms
memory: 3552kb

input:

8

output:

110899952

result:

ok answer is '110899952'

Test #12:

score: 0
Accepted
time: 3ms
memory: 3600kb

input:

9

output:

89411672

result:

ok answer is '89411672'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

10

output:

401287887

result:

ok answer is '401287887'

Test #14:

score: 0
Accepted
time: 3ms
memory: 3480kb

input:

172

output:

376377812

result:

ok answer is '376377812'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3616kb

input:

238

output:

81946973

result:

ok answer is '81946973'

Test #16:

score: 0
Accepted
time: 3ms
memory: 3480kb

input:

730

output:

661959857

result:

ok answer is '661959857'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

684

output:

828317367

result:

ok answer is '828317367'

Test #18:

score: 0
Accepted
time: 3ms
memory: 3696kb

input:

633

output:

673539741

result:

ok answer is '673539741'

Test #19:

score: 0
Accepted
time: 3ms
memory: 3596kb

input:

897

output:

159321465

result:

ok answer is '159321465'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3684kb

input:

809

output:

521464595

result:

ok answer is '521464595'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3592kb

input:

302

output:

92391482

result:

ok answer is '92391482'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

261

output:

854903269

result:

ok answer is '854903269'

Test #23:

score: 0
Accepted
time: 3ms
memory: 3480kb

input:

497

output:

594207939

result:

ok answer is '594207939'

Test #24:

score: 0
Accepted
time: 3ms
memory: 3480kb

input:

951

output:

927809758

result:

ok answer is '927809758'

Test #25:

score: 0
Accepted
time: 3ms
memory: 3616kb

input:

980

output:

65372821

result:

ok answer is '65372821'

Test #26:

score: 0
Accepted
time: 3ms
memory: 3592kb

input:

1000

output:

971150090

result:

ok answer is '971150090'

Test #27:

score: 0
Accepted
time: 3ms
memory: 3700kb

input:

969

output:

511011493

result:

ok answer is '511011493'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3600kb

input:

998

output:

549357456

result:

ok answer is '549357456'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

98558

output:

245733611

result:

ok answer is '245733611'

Test #30:

score: 0
Accepted
time: 3ms
memory: 3568kb

input:

35873

output:

524107440

result:

ok answer is '524107440'

Test #31:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

3015

output:

928761172

result:

ok answer is '928761172'

Test #32:

score: 0
Accepted
time: 3ms
memory: 3688kb

input:

44398

output:

339084928

result:

ok answer is '339084928'

Test #33:

score: 0
Accepted
time: 3ms
memory: 3752kb

input:

82497

output:

273305194

result:

ok answer is '273305194'

Test #34:

score: 0
Accepted
time: 3ms
memory: 3748kb

input:

81678

output:

423439974

result:

ok answer is '423439974'

Test #35:

score: 0
Accepted
time: 3ms
memory: 3624kb

input:

95002

output:

868411966

result:

ok answer is '868411966'

Test #36:

score: 0
Accepted
time: 3ms
memory: 3620kb

input:

56392

output:

127537737

result:

ok answer is '127537737'

Test #37:

score: 0
Accepted
time: 3ms
memory: 3616kb

input:

49489

output:

841113901

result:

ok answer is '841113901'

Test #38:

score: 0
Accepted
time: 3ms
memory: 3588kb

input:

57109

output:

808819191

result:

ok answer is '808819191'

Test #39:

score: 0
Accepted
time: 3ms
memory: 3596kb

input:

99674

output:

890052301

result:

ok answer is '890052301'

Test #40:

score: 0
Accepted
time: 3ms
memory: 3600kb

input:

99513

output:

147223708

result:

ok answer is '147223708'

Test #41:

score: 0
Accepted
time: 2ms
memory: 3484kb

input:

99950

output:

638000302

result:

ok answer is '638000302'

Test #42:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

99939

output:

627100241

result:

ok answer is '627100241'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3596kb

input:

99904

output:

768803875

result:

ok answer is '768803875'

Test #44:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

822981260158560519

output:

500129705

result:

ok answer is '500129705'

Test #45:

score: 0
Accepted
time: 3ms
memory: 3548kb

input:

28316250878314571

output:

954707612

result:

ok answer is '954707612'

Test #46:

score: 0
Accepted
time: 3ms
memory: 3624kb

input:

779547116602636424

output:

349022088

result:

ok answer is '349022088'

Test #47:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

578223540025879436

output:

310507001

result:

ok answer is '310507001'

Test #48:

score: 0
Accepted
time: 3ms
memory: 3676kb

input:

335408917862248766

output:

399860005

result:

ok answer is '399860005'

Test #49:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

74859962623990078

output:

905924996

result:

ok answer is '905924996'

Test #50:

score: 0
Accepted
time: 3ms
memory: 3708kb

input:

252509054434733439

output:

57677315

result:

ok answer is '57677315'

Test #51:

score: 0
Accepted
time: 2ms
memory: 3596kb

input:

760713016476890622

output:

840620988

result:

ok answer is '840620988'

Test #52:

score: 0
Accepted
time: 3ms
memory: 3696kb

input:

919845426262803496

output:

929606336

result:

ok answer is '929606336'

Test #53:

score: 0
Accepted
time: 3ms
memory: 3596kb

input:

585335723211847194

output:

975973040

result:

ok answer is '975973040'

Test #54:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

999999999999999478

output:

859690282

result:

ok answer is '859690282'

Test #55:

score: 0
Accepted
time: 3ms
memory: 3548kb

input:

999999999999999902

output:

879587490

result:

ok answer is '879587490'

Test #56:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

999999999999999168

output:

585232180

result:

ok answer is '585232180'