Question: Consider the recurrence T (n). T (n) = {c if n = 0 4T ([n/4]) + 12 if n > 0 1. State and prove

Consider the recurrence T (n). T (n) = {c if n

Consider the recurrence T (n). T (n) = {c if n = 0 4T ([n/4]) + 12 if n > 0 1. State and prove by induction a theorem showing T (n) element O (n). 2. State and prove by induction a theorem showing T (n) element Ohm (n). Consider the recurrence T (n). T (n) = {c if n = 0 4T ([n/4]) + 12n if n > 0 3. State and prove by induction a theorem showing T (n) element O (nlog_2 n). 4. State and prove by induction a theorem showing T (n) element Ohm (nlog_2 n)

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