discrete structures hw questions
Problem 1: Sec 2.4, #17(a-d)
Problem 2: Sec 2.4, #36
Problem 3: Sec 2.4, #39
Problem 4: Sec 2.4, #40
Problem 5: Sec 5.1, #5
Problem 6: Sec 5.1, #6
Problem 7: Sec 5.1, #13
Problem 8: Sec 5.1, #14
Problem 9: Sec 5.1, #20
Problem 10: Sec 5.1, #32
Problem 11: Sec 5.1, #36
Problem 12 : Assume that 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?
- for k := 1 to n
- for k := 1 to n
- for k := 1 to n-1
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
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 k
next j
next i
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 i
book:
http://www2.fiit.stuba.sk/~kvasnicka/Mathematics%20for%20Informatics/Rosen_Discrete_Mathematics_and_Its_Applications_7th_Edition.pdf