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Cod sursa(job #854915)
#include<fstream>
#include<string.h>
#define DIM 2
using namespace std;
ifstream f("nunta.in");
ofstream g("nunta.out");
int sol[DIM][DIM],P[DIM][DIM],temp[DIM][DIM];
int n;
void multiply(int A[DIM][DIM],int B[DIM][DIM]){
for(int a=0;a<DIM;a++){
for(int b=0;b<DIM;b++){
temp[a][b]=0;
for(int k=0;k<DIM;k++)
temp[a][b]+=A[a][k]*B[k][b];
}
}
}
int main(){
f>>n;
if(n<=2){
if(n==1)
g<<"1";
else
g<<"2";
}
else{
n-=2;
P[0][0]=P[0][1]=P[1][0]=1;
sol[0][0]=sol[1][1]=1;
while(n){
if(n%2==1){
multiply(sol,P);
memcpy(sol,temp,sizeof(temp));
}
multiply(P,P);
memcpy(P,temp,sizeof(temp));
n/=2;
}
g<<sol[0][0]*2+sol[0][1];
}
return 0;
}