CS141 Lab 8
For the labs of the eighth week:

Give an additional example of Floyd's algorithm for allpairs
shortest paths and Warshall's algorithm for the transitive closure
(using e.g. Figure 25.4 in CLRS or Ex. 25.21 but ignoring vertices 3 and 6),
if there is sufficient interest from the students.
Observe that negative weights do not cause any problem for these algorithms.

Inlab exercise: Implement the dynamic programming algorithm for Knapsack
in C++. Test it on some random input data. Output the final T/F result for
for each test data set.
TA: Provide some test data with the correct T/F anwsers.
Keep track of which students completed the exercise and encourage the
rest to complete the exercise at home.

For keen students: Write an O(VE)time
algorithm to compute the transitive of an input digraph G = (V,E),
assuming that G is represented as adjacency lists. It would also
be a good exercise to implement the algorithm in C++ by possibly
recycling some code from Lab 6.