This question is about football matches between teams. A record of games played between teams is stored in a graph G. Each edge in the graph corresponds to a match between a pair of teams. For example,
if there is an edge between vertices 3 and 6 then Team 3 has played a
match with Team 6.
Design and write down the pseudocode for the following algorithm.
Input: A[0..n−1, 0..n−1], an adjacency matrix for the graph G.
Output: A list of all pairs of teams that have not played a match
together.
can i get some help please i have no idea.
Sure! I can help you with that. To design the pseudocode for the algorithm, we will need to go through the rows and columns of the adjacency matrix and check for pairs of teams that have not played a match together.
Here is the pseudocode for the algorithm:
```
1. Initialize an empty list (result) to store the pairs of teams that have not played a match together.
2. Iterate through each row i of the adjacency matrix A.
2.1. Iterate through each column j of the adjacency matrix A.
2.1.1. Check if A[i][j] is 0 (indicating that Team i has not played a match with Team j).
2.1.1.1. Add the pair (i, j) to the result list.
3. Return the result list.
```
This algorithm iterates through each element of the adjacency matrix and checks if the value is 0. If it is, it means that the corresponding teams have not played a match together, so the pair is added to the result list. Once all pairs have been checked, the algorithm returns the list of teams that have not played a match.
Remember to translate this pseudocode into the programming language of your choice to implement the algorithm.