Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that each T(n) is a constant for n ≤ 2. Make your bounds as tight as possible, andjustify your answers....


Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that each T(n) is a constant for n ≤ 2. Make your bounds as tight as possible, and
justify your answers.


Problem 1. Give asymptotic upper and lower bounds for T(n) in each of the following recur-<br>rences. Assume that each T(n) is a constant for n < 2. Make your bounds as tight as possible, and<br>justify your answers. a) T(n) = 6T(n/6) + n, b) T(n) = 4T(n/2) + n°, c) T(n) = T(n – 1) +n² ,<br>d) T(n) = T(n – 1) + .<br>

Extracted text: Problem 1. Give asymptotic upper and lower bounds for T(n) in each of the following recur- rences. Assume that each T(n) is a constant for n < 2.="" make="" your="" bounds="" as="" tight="" as="" possible,="" and="" justify="" your="" answers.="" a)="" t(n)="6T(n/6)" +="" n,="" b)="" t(n)="4T(n/2)" +="" n°,="" c)="" t(n)="T(n" –="" 1)="" +n²="" ,="" d)="" t(n)="T(n" –="" 1)="" +="">

Jun 04, 2022
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