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Fibonacci Modified
Fibonacci Modified
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wat a dumb question. impossible for c++ users
had copilot convert it to python
I have runtime error with O(2**n) solution. Is it the same for you? Here's my Python code: def fibonacciModified(t1, t2, n): # Write your code here def getfibonacci(n): if n == 1: return t1 elif n == 2: return t2 else: return getfibonacci(n-2) + getfibonacci(n-1)**2 return getfibonacci(n)
To be honest, i didnt know how to handle the "int" output in Java, so i have changed it.
To address the task of computing the nth term of a modified Fibonacci sequence in Ruby, I devised a function named fibonacci_modified. This function takes three integers as input parameters: t1 and t2, representing the initial terms of the sequence, and n, indicating the term to be computed. The function first handles the base cases: if n equals 1, it returns t1, and if n equals 2, it returns t2. For any other value of n, the function constructs the sequence iteratively. It initializes an array, fib_sequence, to store the sequence, with the first two elements set as t1 and t2. It then iterates from the third term up to the nth term, computing each term based on the modified Fibonacci formula: the sum of the two preceding terms, where the second preceding term is squared. This approach ensures an efficient calculation of the desired term in the sequence.
For instance, consider the example where t1 = 0, t2 = 1, and n = 5. Here, the function generates the sequence [0, 1, 1, 2, 5], and returns 5 as the 5th term. Similarly, in the case of t1 = 2, t2 = 1, and n = 6, the function produces the sequence [2, 1, 3, 10, 103, 10519], yielding 10519 as the 6th term. It's essential to note that for larger values of n, the resulting term may exceed the range of typical integers, necessitating the use of appropriate data structures or libraries to handle such large results.
Here's the implementation of the fibonacci_modified function in Ruby:
def fibonacci_modified(t1, t2, n) return t1 if n == 1 return t2 if n == 2
end
Example usage
t1, t2, n = 0, 1, 5 puts fibonacci_modified(t1, t2, n) # Output: 5
t1, t2, n = 2, 1, 6 puts fibonacci_modified(t1, t2, n) # Output: 10519
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