Algorithm to compute binomial coefficients

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Reference no: EM13698064

Question: Consider the subsequent algorithm to compute binomial coefficients.

function C(n,k)

if k = 0 or k = n then return 1

else return C(n-1, k-1) + C(n - 1, k)

Analyze the time taken by this algorithm under the unreasonable assumption that the addition C(n-1, k-1) + C(n - 1, k) can be carried out in constant time once both C(n-1, k-1) and C(n - 1, k) have been obtained recursively.

Let t(n) show the worst time that a call on C(n,k) may take for all possible values of k, 0 ≤ k ≤ n. Express t(n) in the simplest possible form in

You have to satisfy the requirements specific in the instruction.

Reference no: EM13698064

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