tight (Θ) bound

Can someone explain this to me? Such as this:

Given a function:

for k = 1 to lg(n)
  for j = 1 to开发者_如何学Go n
    x=x+1

How would I analyze the tight (Θ) bound?

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Your function is Θ(log n · n): The outer loop is repeated log n times and the inner loop n times (for each iteration of the outer for), so x=x+1 is executed log n · n times in total. And since the number of repetitions is fixed, the lower and upper bound is the same.