þo two of the following three recurrences "any way you like"; two will be possible with the master method, with minor manipulation. If you don't use the Master Theorem, T(4)=42 T(n) = 2T (n-1) + n³ T(n) = 2T (n/3) +1 T(n) = 4 T(n/4) + n

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þo two of the following three recurrences "any way you like"; two will be possible with the master
method, with minor manipulation. If you don't use the Master Theorem, T(4)=42
T(n) = 2T (n-1) + n3
T(n) = 2T (n/3) + 1
T(n) = 4 T(n/4) + n
Master Theorem If fw) e e(n) where d 2 0 in recurrence (5.1), then
if a <,
T(n) €e(n log n) if a =,
if a >.
Analogous results hold for the O and 2 notations, too.
Transcribed Image Text:þo two of the following three recurrences "any way you like"; two will be possible with the master method, with minor manipulation. If you don't use the Master Theorem, T(4)=42 T(n) = 2T (n-1) + n3 T(n) = 2T (n/3) + 1 T(n) = 4 T(n/4) + n Master Theorem If fw) e e(n) where d 2 0 in recurrence (5.1), then if a <, T(n) €e(n log n) if a =, if a >. Analogous results hold for the O and 2 notations, too.
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