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89 lines (83 loc) · 1.97 KB
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Fibonacci Number.c
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89 lines (83 loc) · 1.97 KB
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#include<stdio.h>
#include<stdlib.h>
#include <time.h>
#include<math.h>
int** multiply(int** arr1,int** arr2){
int** ar=(int**)(malloc(2*sizeof(int*)));
for(int i=0;i<2;i++){
ar[i]=(int*)(malloc(2*sizeof(int)));
}
for(int i=0;i<2;i++){
for(int j=0;j<2;j++){
ar[i][j]=0;
for(int k=0;k<2;k++){
ar[i][j]=arr2[k][j]*arr1[i][k]+ar[i][j];
ar[i][j]=ar[i][j]%2021;
}
}
}
return ar;
}
int** func(int long long n,int **arr){
if(n==1){
return arr;
}
int** a=func(n/2,arr);
int**b=multiply(a,a);
if(n%2==0){
return b;
}
else{
return multiply(b,arr);
}
}
int Rfib(int long long n){
if(n==0 || n==1){
return n;
}
return (Rfib(n-1)+Rfib(n-2))%2021;
}
int Ifib(int long long n){
if(n==0 || n==1){
return n;
}
int a=0;
int b=1;
int temp;
for(long long int i=2;i<=n;i++){
temp=b;
b=(a+b)%2021;
a=temp;
}
return b%2021;
}
int cleverFib(int long long n){
int** arr=(int**)(malloc(2*sizeof(int*)));
for(int i=0;i<2;i++){
arr[i]=(int*)(malloc(2*sizeof(int)));
}
arr[0][0]=1;arr[0][1]=1;arr[1][0]=1;arr[1][1]=0;
int **a=func(n,arr);
return a[1][0]%2021;
}
int main(){
clock_t start_tc, end_tc,start_ti, end_ti,start_tr, end_tr;
int long long n;
scanf("%lld",&n);
//Rfib
start_tr = clock();
printf("%d\n",Rfib(n));
end_tr = clock();
double total_t1 = (double)(end_tr - start_tr)/(CLOCKS_PER_SEC);
// IFib
start_ti = clock();
printf("%d\n",Ifib(n));
end_ti = clock();
double total_t2 = (double)(end_ti - start_ti) / (CLOCKS_PER_SEC);
// CleverFib
start_tc = clock();
printf("%d",cleverFib(n));
end_tc = clock();
double total_t3 = (double)(end_tc - start_tc) /(CLOCKS_PER_SEC);
return 0;
}