4 Consider the following algorithm ALGORITHM Puzzle (A O n 1 0 n 1 ) Input A matrix A 0 n 1 0 n 1 of real numbers Output for i 0 to n 2 do for j i 1 to n 1 do swap (A i, jl, A , i ) return A Answer the following questions a What does this algorithm compute b What is its basic operation c How many times is the basic operation executed d What is the efficiency class of this algorithm e Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class If you cannot do it, try to prove that, in fact, it cannot be done

Question

4  Consider the following algorithm  ALGORITHM Puzzle (A O  n   1  0  n   1 )    Input  A matrix A 0  n   1  0  n   1  of real numbers   Output      for i   0 to n   2 do for j   i   1 to n   1 do swap (A i, jl, A  , i ) return A Answer the following questions  a  What does this algorithm compute  b  What is its basic operation  c  How many times is the basic operation executed  d  What is the efficiency class of this algorithm  e  Suggest an improvement, or a better algorithm altogether, and indicate its efficiency class  If you cannot do it, try to prove that, in fact, it cannot be done

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Question

4. Consider the following algorithm. ALGORITHM Puzzle (A[O..n - 1; 0..n - 1]) // Input: A matrix A[0..n - 1; 0..n - 1] of real

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