题目链接:
题意:
思路:
#include <iostream>
#include <cstdio>#include <string.h>#include <algorithm>#include <cmath>#include <vector>#include <queue>#include <set>#include <stack>#include <string>#include <map>#include <ctype.h>#include <time.h> #define abs(x) ((x)>=0?(x):-(x))#define i64 long long#define u32 unsigned int#define u64 unsigned long long#define clr(x,y) memset(x,y,sizeof(x))#define CLR(x) x.clear()#define ph(x) push(x)#define pb(x) push_back(x)#define Len(x) x.length()#define SZ(x) x.size()#define PI acos(-1.0)#define sqr(x) ((x)*(x))#define MP(x,y) make_pair(x,y)#define EPS 1e-25 #define FOR0(i,x) for(i=0;i<x;i++)#define FOR1(i,x) for(i=1;i<=x;i++)#define FOR(i,a,b) for(i=a;i<=b;i++)#define FORL0(i,a) for(i=a;i>=0;i--)#define FORL1(i,a) for(i=a;i>=1;i--)#define FORL(i,a,b)for(i=a;i>=b;i--) #define rush() int CC;for(scanf("%d",&CC);CC--;)#define Rush(n) while(scanf("%d",&n)!=-1)using namespace std; void RD(int &x){scanf("%d",&x);}void RD(i64 &x){scanf("%I64d",&x);}void RD(u64 &x){scanf("%I64u",&x);}void RD(u32 &x){scanf("%u",&x);}void RD(double &x){scanf("%lf",&x);}void RD(int &x,int &y){scanf("%d%d",&x,&y);}void RD(i64 &x,i64 &y){scanf("%lld%lld",&x,&y);}void RD(u32 &x,u32 &y){scanf("%u%u",&x,&y);}void RD(double &x,double &y){scanf("%lf%lf",&x,&y);}void RD(double &x,double &y,double &z){scanf("%lf%lf%lf",&x,&y,&z);}void RD(int &x,int &y,int &z){scanf("%d%d%d",&x,&y,&z);}void RD(i64 &x,i64 &y,i64 &z){scanf("%I64d%I64d%I64d",&x,&y,&z);}void RD(u32 &x,u32 &y,u32 &z){scanf("%u%u%u",&x,&y,&z);}void RD(char &x){x=getchar();}void RD(char *s){scanf("%s",s);}void RD(string &s){cin>>s;} void PR(int x) {printf("%d\n",x);}void PR(int x,int y) {printf("%d %d\n",x,y);}void PR(i64 x) {printf("%I64d\n",x);}void PR(i64 x,i64 y) {printf("%lld %lld\n",x,y);}void PR(u32 x) {printf("%u\n",x);}void PR(u64 x) {printf("%llu\n",x);}void PR(double x) {printf("%.10lf\n",x);}void PR(double x,double y) {printf("%.5lf %.5lf\n",x,y);}void PR(char x) {printf("%c\n",x);}void PR(char *x) {printf("%s\n",x);}void PR(string x) {cout<<x<<endl;} void upMin(int &x,int y) {if(x>y) x=y;}void upMin(i64 &x,i64 y) {if(x>y) x=y;}void upMin(double &x,double y) {if(x>y) x=y;}void upMax(int &x,int y) {if(x<y) x=y;}void upMax(i64 &x,i64 y) {if(x<y) x=y;}void upMax(double &x,double y) {if(x<y) x=y;} const int mod=1000000007;const i64 inf=((i64)1)<<60;const double dinf=1e12;const int INF=1000000001;const int N=1005;i64 n;i64 f0,a,b;i64 g0,c,d;struct Matrix{ i64 a[5][5]; void init(int x) { clr(a,0); int i; if(x) FOR0(i,5) a[i][i]=1; } Matrix operator*(Matrix p) { Matrix ans; ans.init(0); int i,j,k; FOR0(k,5) FOR0(i,5) FOR0(j,5) { ans.a[i][j]+=a[i][k]*p.a[k][j]%mod; ans.a[i][j]%=mod; } return ans; } Matrix Pow(i64 n) { Matrix p=*this,ans; ans.init(1); while(n) { if(n&1) ans=ans*p; p=p*p; n>>=1; } return ans; }};Matrix p;void init(){ a%=mod; b%=mod; c%=mod; d%=mod; p.init(0); p.a[0][0]=1; p.a[0][1]=b; p.a[0][2]=d; p.a[0][3]=b*d%mod; p.a[0][4]=b*d%mod; p.a[1][1]=a; p.a[1][3]=a*d%mod; p.a[1][4]=a*d%mod; p.a[2][2]=c; p.a[2][3]=b*c%mod; p.a[2][4]=b*c%mod; p.a[3][3]=a*c%mod; p.a[3][4]=a*c%mod; p.a[4][4]=1;}int main(){ while(scanf("%I64d",&n)!=-1) { RD(f0,a,b); RD(g0,c,d); f0%=mod; g0%=mod; if(n==0) { puts("0"); continue; } i64 ans=0; init(); p=p.Pow(n-1); ans+=p.a[0][4]; ans%=mod; ans+=f0*p.a[1][4]; ans%=mod; ans+=g0*p.a[2][4]; ans%=mod; ans+=f0*g0%mod*p.a[3][4]%mod; ans%=mod; ans+=f0*g0%mod*p.a[4][4]%mod; ans%=mod; PR(ans); }}