Question
Assume that n is a positive integer. For each of the following algorithm segments, how many times will the innermost loop be iterated when the
Assume that n is a positive integer. For each of the following algorithm segments, how many times will the innermost loop be iterated when the algorithm segment is implemented and run?
1) for k := 1 to n for j := 1 to k [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next j next k
2) for k := 1 to n - 1 for j := 1 to k + 1 [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next j next k
3) for k := 1 to n - 1 for j := k+1 to n [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next j next k
4) for k := 1 to n - 1 for j := k to n [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next j next k
5) for k := 1 to n for j := 1 to k for i := 1 to j [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next i next j next k
6) for k := 1 to n for j := 1 to k - 1 for i := 1 to j - 1 [Statements in the body of the inner loop, none containing branching statements that lead outside the loop] next i next j next k
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