Answers for "fibonacci numbers"

10

fibonacci

# Easy fibonacci exercise
# Method #1
def fibonacci(n):
    # 1th: 0
    # 2th: 1
    # 3th: 1 ...
    if n == 1:
        return 0
    elif n == 2:
        return 1
    else:
        return fibonacci(n - 1) + fibonacci(n - 2)

# Method #2
def fibonacci2(n):
    if n == 0: return 0
    n1 = 1
    n2 = 1
    # (1, n - 2) because start by 1, 2, 3... not 0, 1, 1, 2, 3....
    for i in range(1, n - 2):
        n1 += n2
        n2 = n1 - n2
    return n1


print(fibonacci(13))
# return the nth element in the fibonacci sequence
Posted by: Guest on January-01-2021
20

fibonacci numbers

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
Posted by: Guest on December-16-2020
8

fibonacci sequence

def fibonacci(n):
    if n <= 0:
        return 0
    elif n == 1:
        return 1
    else:
        return fibonacci(n-1) + fibonacci(n-2)
Posted by: Guest on January-03-2021
1

fibinachi

def fib(n):
  lisp = []
  
  for i in range(n):
    if len(lisp) < 3:
      if len(lisp) == 0:
        lisp.append(0)
      else:
        lisp.append(1)
    
    else:
      lisp.append(lisp[len(lisp)-1]+lisp[len(lisp)-2])
  
  return lisp
Posted by: Guest on October-13-2020
0

fibonacci numbers

f(n) = f(n-1) + f(n-2) 
                                  f(6)
                                   ^
  			                       /\
                f(5)               +                       f(4)
                ^
               /\                                           /\
                
        f(4)    +           f(3)                     f(3)    +    f(2)
       ^                       ^                     ^              ^
      /\                       /\                    /\            /\
   
 f(3)   +       f(2)            f(2) +f(1)       f(2) + f(1)   f(1) +  f(0)             
   ^              ^                ^                ^
   /\             /\                /\              /\
    
f(2) + f(1)      f(1) +  f(0)     f(1)+ f(0)       f(1) + f(0)         
  ^
  /\
f(1) +  f(0) 
  
//f(6) = 8   ==>  f(1)*8    f(1) appears 8 times 
 double feb  = (1/Math.pow(5,0.5)) * (Math.pow((1+Math.pow(5,0.5))/2,n)) - (1/Math.pow(5,0.5))* (Math.pow((1-Math.pow(5,0.5))/2,n));  
  
f(1) == 1;
Posted by: Guest on August-01-2021
0

fibbonaci numbers

//using dp, top -down approach memoization
#include <iostream>

using namespace std;
int arr[1000];
int fib(int n)
{
    if(arr[n]==0)
    {
        if(n<=1)
        {
            arr[n]=n;
        }
        else
        {
            arr[n]=fib(n-1)+fib(n-2);
        }
    }
    return arr[n];
}

int main()
{
    int n;
    cout<<"enter the value of which fibonacci value you want to calculate:"<<endl;
    cin>>n;
    int f=fib(n);
    cout<<"fib value is: "<<f<<endl;
    return 0;
}
Posted by: Guest on May-28-2021

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