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Consider the following recurrence: t n = 2t n1 t n2 for n 2 t 0 = 0 t 1 = 1 (a) Use forward

Consider the following recurrence:

t_n = 2t_n1 t_n2 for n 2 t₀ = 0 t₁ = 1

(a) Use forward substitution to come up with a candidate solution. (b) Prove this solution is correct using induction. (c) Solve the recursion using the characteristic formula. (d) Solve the recursion using backwards substitution.

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