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35 changes: 35 additions & 0 deletions Fibbionaci .cpp
Original file line number Diff line number Diff line change
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//Fibionacci is a popular sequnece f(n)=f(n-1)+f(n-2)
#include<bits/stdc++.h>
using namespace std;
int fibbionaci_rec(int n)
{
if(n==0||n==1)
{
return n;
}
return fibbionaci_rec(n-1)+fibbionaci_rec(n-2);
}

int fibbionaci_bottomup_dp(int n)
{
int dp[n+1];
dp[0]=0;
dp[1]=1;
for(int i=2;i<=n;i++)
{
dp[i]=dp[i-1]+dp[i-2];
}
return dp[n];
}

int main()
{
int n;
cin>>n;
//recursive fibbionaci sequence
cout<<fibbionaci_rec(n)<<endl;
//this is bottomup dp
cout<<fibbionaci_bottomup_dp(n)<<endl;
return 0;

}