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/**
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* File: graph_bfs.cs
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* Created Time: 2023-03-08
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* Author: hpstory (hpstory1024@163.com)
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*/
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namespace hello_algo.chapter_graph;
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public class graph_bfs {
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/* 廣度優先走訪 */
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// 使用鄰接表來表示圖,以便獲取指定頂點的所有鄰接頂點
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List<Vertex> GraphBFS(GraphAdjList graph, Vertex startVet) {
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// 頂點走訪序列
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List<Vertex> res = [];
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// 雜湊集合,用於記錄已被訪問過的頂點
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HashSet<Vertex> visited = [startVet];
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// 佇列用於實現 BFS
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Queue<Vertex> que = new();
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que.Enqueue(startVet);
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// 以頂點 vet 為起點,迴圈直至訪問完所有頂點
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while (que.Count > 0) {
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Vertex vet = que.Dequeue(); // 佇列首頂點出隊
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res.Add(vet); // 記錄訪問頂點
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foreach (Vertex adjVet in graph.adjList[vet]) {
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if (visited.Contains(adjVet)) {
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continue; // 跳過已被訪問的頂點
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}
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que.Enqueue(adjVet); // 只入列未訪問的頂點
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visited.Add(adjVet); // 標記該頂點已被訪問
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}
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}
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// 返回頂點走訪序列
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return res;
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}
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[Test]
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public void Test() {
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/* 初始化無向圖 */
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Vertex[] v = Vertex.ValsToVets([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]);
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Vertex[][] edges =
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[
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[v[0], v[1]], [v[0], v[3]], [v[1], v[2]],
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[v[1], v[4]], [v[2], v[5]], [v[3], v[4]],
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[v[3], v[6]], [v[4], v[5]], [v[4], v[7]],
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[v[5], v[8]], [v[6], v[7]], [v[7], v[8]]
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];
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GraphAdjList graph = new(edges);
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Console.WriteLine("\n初始化後,圖為");
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graph.Print();
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/* 廣度優先走訪 */
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List<Vertex> res = GraphBFS(graph, v[0]);
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Console.WriteLine("\n廣度優先走訪(BFS)頂點序列為");
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Console.WriteLine(string.Join(" ", Vertex.VetsToVals(res)));
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}
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}
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