The Fibonacci numbers are defined by recurrence (3.22). Give an O.n-time dynamic-programming algorithm to compute the...
The Fibonacci numbers are defined by recurrence (3.22). Give an O.n-time dynamic-programming algorithm to compute the nth Fibonacci number.
Draw the subproblem graph. How many vertices and edges are in the graph?
Homework Answers
1 answer)
def fibonacci(n):
a,b=0,1
while n>0:
a,b=b,a+b
n-=1
return a
ans = fibonacci(8)
print("Fibonacci=",ans)
----> Since it's directly applying the basic fibonacci sequence we can easily say that time complexity is O(n).
2 answer)
Graph:
Subproblem graph will have (n+1) vertices.
Let's say v0 to vn...
for i=2 to n
vertex vi will have two leaving edges,....... one edge to the vertex vi-1 and one edge to the vertex vi-2
There'll be no edges leaving the vertiices v0 or vv1.
Therefore, subproblem graph will have 2n-2 edges totally...
Please comment if you've any doubt...
I'm ready to help you.
Add Answer to:
The Fibonacci numbers are defined by recurrence (3.22). Give an
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