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Consider the following recurrence relation and the first few steps of iterative substitution that have been applied to it: Recurrence Relation: T(0) = c0 T(1)
Consider the following recurrence relation and the first few steps of iterative substitution that have been applied to it:
Recurrence Relation:
T(0) = c0
T(1) = c1
T(2) = c2
T(n) = nc + 3T(n-2) for n > 2
Iterative Substitution:
T(n) = nc + 3T(n-2)
= nc + 3[(n-2)c + 3T(n-4)] = nc + 3(n-2)c + 9T(n-4)
= nc + 3(n-2)c + 9[ __________________ ]
Which of the following should be used to fill in the blank above?
a) | nc + 3T(n-2) |
b) | 3nc + 3T(n-3) |
c) | nc + 3T(n-4) |
d) | 4nc + 3T(n-4) |
e) | (n-2)c + 3T(n-2) |
f) | 9(n-2)c + 3T(n-4) |
g) | (n-2)c + 9T(n-4) |
h) | (n-4)c + T(n-4) |
i) | (n-4)c + T(n-4) |
j) | (n-4)c + 3T(n-6) |
k) | (n-6)c + 3T(n-4) |
l) | (n-6)c + 9T(n-4) |
m) | (n-4)c + 6T(n-4) |
n) | (n-4)c + 6T(n-6) |
o) | (n-6)c + 3T(n-6) |
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