Consider the following edge-weighted digraph with 8 vertices and 13 edges. v->w weight A->E A->B B->C C->F C->D D->G F->E F->B 1 4. 39 23 26 F->A G->F G->C 16 40 34 H->D 95 H->G 17 Here is a graphical representation of the same edge-weighted digraph: (A) -1---- >(c) -39--->(D) 26 95 (E)<-----23- -40- (G)< 17- (H) Suppose that you run the Bellman-Ford algorithm to compute the shortest paths from H to every other vertex. What is the distTo[] array immediately after the em of three passes of the algorithm (pass 1, 2, and 3)? Each pass consists of relaxing the 13 edges in the order given above. Here is the distTo[] array before the beginning of pass 1: A BCD FGH distTo(v] Answer Your answer should be a sequence of 8 integers, separated by whitespace

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**Edge-Weighted Digraph Analysis**

Consider the following edge-weighted digraph with 8 vertices and 13 edges:

- Edges and Weights:
  - A→E with weight 1
  - A→B with weight 3
  - B→C with weight 1
  - C→D with weight 39
  - C→G with weight 4
  - D→H with weight 95
  - E→B with weight 23
  - F→B with weight 26
  - F→C with weight 16
  - G→F with weight 40
  - G→C with weight 34
  - H→G with weight 95
  - H→E with weight 17

**Graphical Representation:**

The graph is represented as follows:

- Vertices: A, B, C, D, E, F, G, H
- The arrows indicate directed edges between vertices with their respective weights.
- For example, there is an edge from A to E with weight 1 and from B to C with weight 1.

**Algorithm Context:**

Suppose you run the Bellman-Ford algorithm to compute the shortest paths from vertex H to every other vertex. The aim is to find the `distTo[]` array immediately after the completion of three passes of the algorithm.

**Relaxation Process:**

Each pass consists of relaxing the 13 edges in the given order.

**Initial `distTo[]` Array:**

Before starting pass 1, the `distTo[]` array is initialized as:

- A: ∞
- B: ∞
- C: ∞
- D: ∞
- E: ∞
- F: ∞
- G: ∞
- H: 0

**Task:**

Update the `distTo[]` array after each of the three passes to determine the shortest path estimation from H to all other vertices.

**Answer Format:**

Your response should include a sequence of 8 integers, indicating the shortest path distances from vertex H to each vertex (A through H), separated by whitespace. Each position in the sequence corresponds to the vertex in alphabetical order.
Transcribed Image Text:**Edge-Weighted Digraph Analysis** Consider the following edge-weighted digraph with 8 vertices and 13 edges: - Edges and Weights: - A→E with weight 1 - A→B with weight 3 - B→C with weight 1 - C→D with weight 39 - C→G with weight 4 - D→H with weight 95 - E→B with weight 23 - F→B with weight 26 - F→C with weight 16 - G→F with weight 40 - G→C with weight 34 - H→G with weight 95 - H→E with weight 17 **Graphical Representation:** The graph is represented as follows: - Vertices: A, B, C, D, E, F, G, H - The arrows indicate directed edges between vertices with their respective weights. - For example, there is an edge from A to E with weight 1 and from B to C with weight 1. **Algorithm Context:** Suppose you run the Bellman-Ford algorithm to compute the shortest paths from vertex H to every other vertex. The aim is to find the `distTo[]` array immediately after the completion of three passes of the algorithm. **Relaxation Process:** Each pass consists of relaxing the 13 edges in the given order. **Initial `distTo[]` Array:** Before starting pass 1, the `distTo[]` array is initialized as: - A: ∞ - B: ∞ - C: ∞ - D: ∞ - E: ∞ - F: ∞ - G: ∞ - H: 0 **Task:** Update the `distTo[]` array after each of the three passes to determine the shortest path estimation from H to all other vertices. **Answer Format:** Your response should include a sequence of 8 integers, indicating the shortest path distances from vertex H to each vertex (A through H), separated by whitespace. Each position in the sequence corresponds to the vertex in alphabetical order.
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