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2. (60 points) Assume that T(1) E (1). Solve the following recurrences using the recursion tree method. a. T(n) = 4T (n/2) + n b.

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2. (60 points) Assume that T(1) E (1). Solve the following recurrences using the recursion tree method. a. T(n) = 4T (n/2) + n b. T(n) = 2T (n/2) + n2 c. T(n) = T(n-2) +n d. T(n) = 4T(n/2) +n e. T(n) = 2T(m - 2) +1 f. T(n) = T(n/2) +T(n/3) +n

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