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Exercise 3: Implement Floyd's algorithm in a language of your choice and use it on the graph shown above to calculate the distance matrix. You will need to do the following steps: Step1: Create 2D array and name it as W Step2: Write a code to use the W array as input Step3: Implement the following pseudocode of Floyd's algorithm: ALGORITHM Floyd(W[1..n, 1..n]) //Implements Floyd's algorithm for the all-pairs shortest-paths problem //Input: The weight matrix W of a graph with no negative-length cycle //Output: The distance matrix of the shortest paths' lengths D \leftarrow W //is not necessary if W can be overwritten for $k \leftarrow 1$ to $n$ do for $i \leftarrow 1$ to $n$ do for $j \leftarrow 1$ to $n$ do $D[i, j] \leftarrow min\{D[i, j], D[i, k] + D[k, j]$\} return D Step4: Write code to printout the distance matrix D in the output consol. Exercise 4: Run the code developed in Exercise 3 on the following graph: 1 1 8 4 4 2 2 9 1 3

          Exercise 3:
Implement Floyd's algorithm in a language of your choice and use it on the graph shown above
to calculate the distance matrix.
You will need to do the following steps:
Step1: Create 2D array and name it as W
Step2: Write a code to use the W array as input
Step3: Implement the following pseudocode of Floyd's algorithm:
ALGORITHM Floyd(W[1..n, 1..n])
//Implements Floyd's algorithm for the all-pairs shortest-paths problem
//Input: The weight matrix W of a graph with no negative-length cycle
//Output: The distance matrix of the shortest paths' lengths
D \leftarrow W //is not necessary if W can be overwritten
for $k \leftarrow 1$ to $n$ do
    for $i \leftarrow 1$ to $n$ do
        for $j \leftarrow 1$ to $n$ do
            $D[i, j] \leftarrow min\{D[i, j], D[i, k] + D[k, j]$\}
return D
Step4: Write code to printout the distance matrix D in the output consol.
Exercise 4: Run the code developed in Exercise 3 on the following graph:
1
1
8
4
4
2
2
9
1
3

Exercise 3:
Implement Floyd's algorithm in a language of your choice and use it on the graph shown above
to calculate the distance matrix.
You will need to do the following steps:
Step1: Create 2D array and name it as W
Step2: Write a code to use the W array as input
Step3: Implement the following pseudocode of Floyd's algorithm:
ALGORITHM Floyd(W[1..n, 1..n])
//Implements Floyd's algorithm for the all-pairs shortest-paths problem
//Input: The weight matrix W of a graph with no negative-length cycle
//Output: The distance matrix of the shortest paths' lengths
D ←W //is not necessary if W can be overwritten
for k ← 1 to n do
for i ← 1 to n do
for j ← 1 to n do
D[i, j] ← min{D[i, j], D[i, k] + D[k, j]}
return D
Step4: Write code to printout the distance matrix D in the output consol.
Exercise 4: Run the code developed in Exercise 3 on the following graph:
1
1
8
4
4
2
2
9
1
3

Added by Kathleen C.

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