Part I For each of the following two recurrences, construct a recursion tree and use it to solve the recurrence. Your solution should include a chart similar to examples in lecture and studio with columns for the depth, number of nodes, work per node, and work per level at each level of the tree; • a summation giving the total work of the recurrence; and • a closed-form asymptotic solution to the recurrence. You may assume for simplicity that the input size n is a power of b, the denominator of the size in the recursive term, and that T(1) = d for some constant d. You may hand-draw or typset the chart, but please typeset the summation and its closed-form solution. 1. T(n) = 3T(n/2) + n² 2. T(n) = 4T(n/2) + n²

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