Nth Fibonacci Number
PROBLEM :
Given a positive integer N, find the Nth fibonacci number. Since the answer can be very large, print the answer modulo 1000000007.
Input:
The first line of input contains T denoting the number of testcases.Then each of the T lines contains a single positive integer N.
Output:
Output the Nth fibonacci number.
Constraints:
1<=T<=100
1<=N<=1000
Example:
Input:
3
1
2
5
Output:
0
1
3
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SIMPLE c++ IMPLEMENTATION :
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#include<iostream>
using namespace std;
#define MOD 1000000007
long long Nth_Fibonacci_Number(int ) ;
int main()
{
int t,no ;
cin>>t ;
while(t--)
{
cin>>no ;
cout<<Nth_Fibonacci_Number(no) ;
cout<<endl ;
}
return 0;
}
long long Nth_Fibonacci_Number(int no)
{
if(no==1)
return 0 ;
if(no==2)
return 1 ;
long long a,b,c ;
a=0 ;
b=1 ;
no=no-2 ;
while(no)
{
c=a+b ;
c=c%MOD ;
a=b ;
b=c ;
no-- ;
}
return c ;
}
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Given a positive integer N, find the Nth fibonacci number. Since the answer can be very large, print the answer modulo 1000000007.
Input:
The first line of input contains T denoting the number of testcases.Then each of the T lines contains a single positive integer N.
Output:
Output the Nth fibonacci number.
Constraints:
1<=T<=100
1<=N<=1000
Example:
Input:
3
1
2
5
Output:
0
1
3
--------------------------------------------------------------------------------
SIMPLE c++ IMPLEMENTATION :
--------------------------------------------------------------------------------
#include<iostream>
using namespace std;
#define MOD 1000000007
long long Nth_Fibonacci_Number(int ) ;
int main()
{
int t,no ;
cin>>t ;
while(t--)
{
cin>>no ;
cout<<Nth_Fibonacci_Number(no) ;
cout<<endl ;
}
return 0;
}
long long Nth_Fibonacci_Number(int no)
{
if(no==1)
return 0 ;
if(no==2)
return 1 ;
long long a,b,c ;
a=0 ;
b=1 ;
no=no-2 ;
while(no)
{
c=a+b ;
c=c%MOD ;
a=b ;
b=c ;
no-- ;
}
return c ;
}
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