Consider the function below written in Python3: def foo(a, b=[1]): if a <= 1: return b b_new = [b[i] + b[i+1] for i in range(len(b)-1)] return foo(a-1, [1] + b_new + [1]) The recurrence relation for foo(a, b) when a > 0 and assuming n is the length of b is: T(a, n) = T ( +0(n

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Consider the function below written in Python3:
Consider the function below written in Python3:
def foo(a, b=[1]):
def bar(x, y):
if a <= 1:
if y > 0:
return b
if (y % 2):
b_new = [b[i] + b[i+1] for i in range(len(b)-1)]
return bar(x, y >> 1) + bar(x, y >> 1) + x
return foo(a-1, [1] + b_new + [1])
return bar(x, y >> 1) + bar(x, y >> 1)
else:
return 0
The recurrence relation for foo(a, b) when a > 0 and assuming n is the length of b is:
а,
The recurrence relation for bar(x, y) when x, y > 0 is:
T(а, п) - Т(
+o(n
T(x, y) = 2
+0(1
T
What is the worst-case auxiliary space complexity of bar(, y)?
(Follow/use the same notes above)
Answer:
Transcribed Image Text:Consider the function below written in Python3: Consider the function below written in Python3: def foo(a, b=[1]): def bar(x, y): if a <= 1: if y > 0: return b if (y % 2): b_new = [b[i] + b[i+1] for i in range(len(b)-1)] return bar(x, y >> 1) + bar(x, y >> 1) + x return foo(a-1, [1] + b_new + [1]) return bar(x, y >> 1) + bar(x, y >> 1) else: return 0 The recurrence relation for foo(a, b) when a > 0 and assuming n is the length of b is: а, The recurrence relation for bar(x, y) when x, y > 0 is: T(а, п) - Т( +o(n T(x, y) = 2 +0(1 T What is the worst-case auxiliary space complexity of bar(, y)? (Follow/use the same notes above) Answer:
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