Problem 1.2: Consider the following recurrence: T(n) [ 2T([2n/3])+11T([n/3]) + 2024n+374 if n 3 = {...

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Problem 1.2: Consider the following recurrence: T(n) [ 2T([2n/3])+11T([n/3]) + 2024n+374 if n 3 = { 5 Prove that T(n) = O(n) by induction. if n = 1 or n = 2 [Hint: try an induction hypothesis of the form T(n) cn c'n c" for some constants c, c', c" to be determined.] Problem 1.2: Consider the following recurrence: T(n) [ 2T([2n/3])+11T([n/3]) + 2024n+374 if n 3 = { 5 Prove that T(n) = O(n) by induction. if n = 1 or n = 2 [Hint: try an induction hypothesis of the form T(n) cn c'n c" for some constants c, c', c" to be determined.]