The runtime complexity, T(n), of the three following recurrence relation solved by Master's Theorem) are T(n) = 6T(n/3) + n² logn T(n) = 64T(n/8) - n² log n T(n) = 4T(n/2) + n/logn (The solution for the three relations are respectively given by) A: (n logn), 9(n²), (n²logn) B: 9(n²), e(n² log n), (n logn) C: (n² logn), Master's Theorem does not apply, 9(n²) D: (n²), Master's Theorem does not apply, 9(n² log n) E: (n² logn), 9(n²), Master's Theorem does not apply F: 9(n²), (n² logn), Master's Theorem does not apply
The runtime complexity, T(n), of the three following recurrence relation solved by Master's Theorem) are T(n) = 6T(n/3) + n² logn T(n) = 64T(n/8) - n² log n T(n) = 4T(n/2) + n/logn (The solution for the three relations are respectively given by) A: (n logn), 9(n²), (n²logn) B: 9(n²), e(n² log n), (n logn) C: (n² logn), Master's Theorem does not apply, 9(n²) D: (n²), Master's Theorem does not apply, 9(n² log n) E: (n² logn), 9(n²), Master's Theorem does not apply F: 9(n²), (n² logn), Master's Theorem does not apply
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Transcribed Image Text:The runtime complexity, T(n), of the three following recurrence relation
solved by Master's Theorem) are
T(n) = 6T(n/3) + n² logn
T(n) = 64T(n/8)- n² log n
T(n) = 4T(n/2) + n/logn
(The solution for the three relations are respectively given by)
A: (nlogn), 9(n²), (n² logn)
B: 9(n²), (n² logn), (n log n)
C: (n²logn), Master's Theorem does not apply, 9(n²)
D: 0(n²), Master's Theorem does not apply, 9(n² log n)
E: 0(n² logn), 9(n²), Master's Theorem does not apply
F: 9(n²), (n² logn), Master's Theorem does not apply
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