Question: What are the cost functions of these algorithms? Algorithm 1 input: sorted vals[n] and element e output: true if e is in vals low =

What are the cost functions of these algorithms?

Algorithm 1

input: sorted vals[n] and element e output: true if e is in vals low = 0 high = n - 1 while low <= high mid = (low + high) / 2 if vals[mid] == e return true else if e < vals[mid] high = mid - 1 else low = mid + 1 return false

Algorithm 2

input: A[n], B[n] output: dot product of A and B sum = 0 for i = 0 ... n sum = sum + A[i] * B[i] return sum

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