{"id":53258,"date":"2025-08-12T07:34:26","date_gmt":"2025-08-11T23:34:26","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/53258.html"},"modified":"2025-08-12T07:34:26","modified_gmt":"2025-08-11T23:34:26","slug":"c-%e7%b1%bb%e5%ba%93%e9%a1%b9%e7%9b%ae%e4%b8%ad%e7%9a%84%e7%ae%97%e6%b3%95%e8%bf%9b%e8%a1%8c%e8%af%a6%e7%bb%86%e8%a7%a3%e6%9e%90%ef%bc%8c%e5%b9%b6%e6%8f%90%e4%be%9b%e7%a4%ba%e4%be%8b%e4%bb%a3","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/53258.html","title":{"rendered":"C# \u7c7b\u5e93\u9879\u76ee\u4e2d\u7684\u7b97\u6cd5\u8fdb\u884c\u8be6\u7ec6\u89e3\u6790\uff0c\u5e76\u63d0\u4f9b\u793a\u4f8b\u4ee3\u7801\u3001\u6d4b\u8bd5\u7528\u4f8b\u3001\u4e2d\u6587\u89e3\u91ca\u4ee5\u53ca\u9002\u7528\u573a\u666f\uff0c\u7279\u522b\u662f\u9488\u5bf9\u534a\u5bfc\u4f53\u4ea7\u7ebf\u3001\u6d4b\u8bd5\u673a\u6216\u8d34\u7247\u673a\u7b49\u8bbe\u5907\u7684\u8be6\u7ec6\u4ee3\u7801\u793a\u4f8b\uff0c\u6211\u5c06\u5206\u6b65\u5904\u7406\u60a8\u7684\u8bf7\u6c42"},"content":{"rendered":"<p>\u00a0C# \u7c7b\u5e93\u9879\u76ee\u4e2d\u7684\u7b97\u6cd5\u8fdb\u884c\u8be6\u7ec6\u89e3\u6790&#xff0c;\u5e76\u63d0\u4f9b\u793a\u4f8b\u4ee3\u7801\u3001\u6d4b\u8bd5\u7528\u4f8b\u3001\u4e2d\u6587\u89e3\u91ca\u4ee5\u53ca\u9002\u7528\u573a\u666f&#xff0c;\u7279\u522b\u662f\u9488\u5bf9\u534a\u5bfc\u4f53\u4ea7\u7ebf\u3001\u6d4b\u8bd5\u673a\u6216\u8d34\u7247\u673a\u7b49\u8bbe\u5907\u7684\u8be6\u7ec6\u4ee3\u7801\u793a\u4f8b&#xff0c;\u6211\u5c06\u5206\u6b65\u5904\u7406\u60a8\u7684\u8bf7\u6c42\u3002<\/p>\n<p>\u7531\u4e8e\u5185\u5bb9\u8f83\u591a&#xff0c;\u6211\u5c06\u91cd\u70b9\u8bb2\u89e3\u51e0\u4e2a\u4ee3\u8868\u6027\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784&#xff0c;\u6db5\u76d6\u5176\u5b9e\u73b0\u3001\u6d4b\u8bd5\u7528\u4f8b\u3001\u9002\u7528\u573a\u666f&#xff0c;\u5e76\u5728\u6700\u540e\u63d0\u4f9b\u534a\u5bfc\u4f53\u4ea7\u7ebf\u76f8\u5173\u573a\u666f\u7684\u4ee3\u7801\u793a\u4f8b\u3002\u4e3a\u4e86\u4fdd\u6301\u6e05\u6670\u548c\u7b80\u6d01&#xff0c;\u6211\u4f1a\u6311\u9009\u51e0\u4e2a\u5178\u578b\u7b97\u6cd5&#xff08;\u5982\u5feb\u901f\u6392\u5e8f\u3001\u8fea\u6770\u65af\u7279\u62c9\u6700\u77ed\u8def\u5f84\u3001\u4e8c\u53c9\u641c\u7d22\u6811&#xff09;\u8fdb\u884c\u8be6\u7ec6\u8bf4\u660e&#xff0c;\u5e76\u9488\u5bf9\u534a\u5bfc\u4f53\u8bbe\u5907\u573a\u666f\u63d0\u4f9b\u5b9a\u5236\u5316\u793a\u4f8b\u3002\u5982\u679c\u60a8\u9700\u8981\u5176\u4ed6\u7279\u5b9a\u7b97\u6cd5\u7684\u8be6\u7ec6\u89e3\u6790&#xff0c;\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e\u3002<\/p>\n<hr \/>\n<p>\u4e00\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u5feb\u901f\u6392\u5e8f (Quick Sort)\u4e2d\u6587\u89e3\u91ca\u5feb\u901f\u6392\u5e8f\u662f\u4e00\u79cd\u9ad8\u6548\u7684 \u5206\u6cbb\u6cd5 \u6392\u5e8f\u7b97\u6cd5&#xff0c;\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(n log n)&#xff0c;\u6700\u574f\u60c5\u51b5\u4e3a O(n\u00b2)\u3002\u5b83\u901a\u8fc7\u9009\u62e9\u4e00\u4e2a\u201c\u57fa\u51c6\u201d&#xff08;pivot&#xff09;&#xff0c;\u5c06\u6570\u7ec4\u5206\u4e3a\u4e24\u90e8\u5206&#xff1a;\u5c0f\u4e8e\u57fa\u51c6\u7684\u5143\u7d20\u548c\u5927\u4e8e\u57fa\u51c6\u7684\u5143\u7d20&#xff0c;\u7136\u540e\u9012\u5f52\u5730\u5bf9\u5b50\u6570\u7ec4\u6392\u5e8f\u3002\u5feb\u901f\u6392\u5e8f\u9002\u7528\u4e8e\u5185\u5b58\u6709\u9650\u7684\u573a\u666f&#xff0c;\u56e0\u4e3a\u5b83\u662f\u539f\u5730\u6392\u5e8f\u7b97\u6cd5\u3002\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u5feb\u901f\u6392\u5e8f\u9002\u7528\u4e8e\u5927\u591a\u6570\u9700\u8981\u6392\u5e8f\u7684\u573a\u666f&#xff0c;\u5982\u5bf9\u5927\u578b\u6570\u636e\u96c6\u6392\u5e8f&#xff08;\u4f8b\u5982&#xff0c;\u5b66\u751f\u6210\u7ee9\u3001\u8ba2\u5355\u6570\u636e&#xff09;\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4e2d&#xff0c;\u5feb\u901f\u6392\u5e8f\u53ef\u7528\u4e8e\u5bf9\u6d4b\u8bd5\u6570\u636e&#xff08;\u5982\u6676\u5706\u7f3a\u9677\u5750\u6807\u3001\u6d4b\u8bd5\u65f6\u95f4\u6233&#xff09;\u8fdb\u884c\u6392\u5e8f&#xff0c;\u4ee5\u4fbf\u540e\u7eed\u5206\u6790&#xff08;\u5982\u7f3a\u9677\u5bc6\u5ea6\u8ba1\u7b97&#xff09;\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u9ad8\u6548\u3001\u539f\u5730\u64cd\u4f5c\u3001\u9002\u5e94\u6027\u5f3a\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u6700\u574f\u60c5\u51b5\u4e0b\u6027\u80fd\u9000\u5316&#xff08;\u5982\u6570\u636e\u5df2\u6392\u5e8f\u65f6&#xff09;&#xff0c;\u9700\u8981\u9009\u62e9\u597d\u7684\u57fa\u51c6\u503c\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801\u4ee5\u4e0b\u662f\u57fa\u4e8e C# \u7684\u5feb\u901f\u6392\u5e8f\u5b9e\u73b0&#xff08;\u53c2\u8003\u9879\u76ee\u7ed3\u6784&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class QuickSort&lt;T&gt; where T : IComparable&lt;T&gt;<br \/>\n{<br \/>\n    public void Sort(T[] array)<br \/>\n    {<br \/>\n        if (array &#061;&#061; null || array.Length &#061;&#061; 0) return;<br \/>\n        QuickSortInternal(array, 0, array.Length &#8211; 1);<br \/>\n    }<\/p>\n<p>    private void QuickSortInternal(T[] array, int low, int high)<br \/>\n    {<br \/>\n        if (low &lt; high)<br \/>\n        {<br \/>\n            int pivotIndex &#061; Partition(array, low, high);<br \/>\n            QuickSortInternal(array, low, pivotIndex &#8211; 1);<br \/>\n            QuickSortInternal(array, pivotIndex &#043; 1, high);<br \/>\n        }<br \/>\n    }<\/p>\n<p>    private int Partition(T[] array, int low, int high)<br \/>\n    {<br \/>\n        T pivot &#061; array[high];<br \/>\n        int i &#061; low &#8211; 1;<\/p>\n<p>        for (int j &#061; low; j &lt; high; j&#043;&#043;)<br \/>\n        {<br \/>\n            if (array[j].CompareTo(pivot) &lt;&#061; 0)<br \/>\n            {<br \/>\n                i&#043;&#043;;<br \/>\n                Swap(array, i, j);<br \/>\n            }<br \/>\n        }<br \/>\n        Swap(array, i &#043; 1, high);<br \/>\n        return i &#043; 1;<br \/>\n    }<\/p>\n<p>    private void Swap(T[] array, int i, int j)<br \/>\n    {<br \/>\n        T temp &#061; array[i];<br \/>\n        array[i] &#061; array[j];<br \/>\n        array[j] &#061; temp;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8b\u4ee5\u4e0b\u662f\u4f7f\u7528 MSTest \u6846\u67b6\u7684\u5355\u5143\u6d4b\u8bd5\u4ee3\u7801&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>using Microsoft.VisualStudio.TestTools.UnitTesting;<\/p>\n<p>[TestClass]<br \/>\npublic class QuickSortTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void Sort_ValidArray_ReturnsSortedArray()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var sorter &#061; new QuickSort&lt;int&gt;();<br \/>\n        int[] array &#061; { 64, 34, 25, 12, 22, 11, 90 };<br \/>\n        int[] expected &#061; { 11, 12, 22, 25, 34, 64, 90 };<\/p>\n<p>        \/\/ Act<br \/>\n        sorter.Sort(array);<\/p>\n<p>        \/\/ Assert<br \/>\n        CollectionAssert.AreEqual(expected, array);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void Sort_EmptyArray_DoesNotThrow()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var sorter &#061; new QuickSort&lt;int&gt;();<br \/>\n        int[] array &#061; { };<\/p>\n<p>        \/\/ Act<br \/>\n        sorter.Sort(array);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(0, array.Length);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void Sort_SingleElementArray_ReturnsSameArray()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var sorter &#061; new QuickSort&lt;int&gt;();<br \/>\n        int[] array &#061; { 42 };<br \/>\n        int[] expected &#061; { 42 };<\/p>\n<p>        \/\/ Act<br \/>\n        sorter.Sort(array);<\/p>\n<p>        \/\/ Assert<br \/>\n        CollectionAssert.AreEqual(expected, array);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4e2d&#xff0c;\u5feb\u901f\u6392\u5e8f\u53ef\u7528\u4e8e\u5bf9\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff08;\u5982\u7535\u538b\u503c&#xff09;\u8fdb\u884c\u6392\u5e8f&#xff0c;\u4ee5\u8bc6\u522b\u5f02\u5e38\u503c\u6216\u751f\u6210\u7edf\u8ba1\u62a5\u8868\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class WaferTestData<br \/>\n{<br \/>\n    public int WaferId { get; set; }<br \/>\n    public double Voltage { get; set; }<br \/>\n    public DateTime TestTime { get; set; }<\/p>\n<p>    public WaferTestData(int waferId, double voltage, DateTime testTime)<br \/>\n    {<br \/>\n        WaferId &#061; waferId;<br \/>\n        Voltage &#061; voltage;<br \/>\n        TestTime &#061; testTime;<br \/>\n    }<\/p>\n<p>    public class VoltageComparer : IComparable&lt;WaferTestData&gt;<br \/>\n    {<br \/>\n        public int CompareTo(WaferTestData other)<br \/>\n        {<br \/>\n            return Voltage.CompareTo(other.Voltage);<br \/>\n        }<br \/>\n    }<br \/>\n}<\/p>\n<p>public class WaferTestSorter<br \/>\n{<br \/>\n    public void SortByVoltage(WaferTestData[] testData)<br \/>\n    {<br \/>\n        var sorter &#061; new QuickSort&lt;WaferTestData&gt;();<br \/>\n        sorter.Sort(testData);<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u4f7f\u7528\u793a\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void SortWaferTestData_ByVoltage_ReturnsSorted()<br \/>\n{<br \/>\n    var testData &#061; new[]<br \/>\n    {<br \/>\n        new WaferTestData(1, 5.2, DateTime.Now),<br \/>\n        new WaferTestData(2, 4.8, DateTime.Now),<br \/>\n        new WaferTestData(3, 5.5, DateTime.Now)<br \/>\n    };<\/p>\n<p>    var sorter &#061; new WaferTestSorter();<br \/>\n    sorter.SortByVoltage(testData);<\/p>\n<p>    Assert.IsTrue(testData[0].Voltage &#061;&#061; 4.8);<br \/>\n    Assert.IsTrue(testData[1].Voltage &#061;&#061; 5.2);<br \/>\n    Assert.IsTrue(testData[2].Voltage &#061;&#061; 5.5);<br \/>\n}<\/p>\n<hr \/>\n<p>\u4e8c\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u8fea\u6770\u65af\u7279\u62c9\u6700\u77ed\u8def\u5f84 (Dijkstra\u2019s Shortest Path)\u4e2d\u6587\u89e3\u91ca\u8fea\u6770\u65af\u7279\u62c9\u7b97\u6cd5\u7528\u4e8e\u5728\u52a0\u6743\u56fe&#xff08;\u65e0\u8d1f\u6743\u8fb9&#xff09;\u4e2d\u5bfb\u627e\u4ece\u8d77\u70b9\u5230\u5176\u4ed6\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84&#xff0c;\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O((V &#043; E) log V)&#xff08;\u4f7f\u7528\u4f18\u5148\u961f\u5217&#xff09;\u3002\u5b83\u901a\u8fc7\u7ef4\u62a4\u4e00\u4e2a\u4f18\u5148\u961f\u5217&#xff0c;\u9010\u6b65\u9009\u62e9\u5f53\u524d\u8ddd\u79bb\u6700\u5c0f\u7684\u8282\u70b9&#xff0c;\u66f4\u65b0\u5176\u90bb\u5c45\u7684\u8ddd\u79bb\u3002\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u5bfc\u822a\u7cfb\u7edf\u3001\u7269\u6d41\u8def\u5f84\u4f18\u5316\u3001\u7f51\u7edc\u8def\u7531\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u8d34\u7247\u673a&#xff08;SMT\u8bbe\u5907&#xff09;\u4e2d&#xff0c;\u4f18\u5316\u673a\u68b0\u81c2\u5728\u7535\u8def\u677f\u4e0a\u79fb\u52a8\u7684\u8def\u5f84&#xff0c;\u51cf\u5c11\u8d34\u7247\u65f6\u95f4\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u9002\u7528\u4e8e\u52a0\u6743\u56fe&#xff0c;\u4fdd\u8bc1\u6700\u4f18\u8def\u5f84\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u4e0d\u9002\u7528\u4e8e\u8d1f\u6743\u8fb9\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801\u4ee5\u4e0b\u662f\u8fea\u6770\u65af\u7279\u62c9\u7b97\u6cd5\u7684\u5b9e\u73b0&#xff08;\u57fa\u4e8e\u9879\u76ee\u7684\u52a0\u6743\u6709\u5411\u56fe&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class DijkstraShortestPaths<br \/>\n{<br \/>\n    private double[] distTo;<br \/>\n    private DirectedEdge[] edgeTo;<br \/>\n    private IndexMinPQ&lt;double&gt; pq;<\/p>\n<p>    public DijkstraShortestPaths(EdgeWeightedDigraph G, int s)<br \/>\n    {<br \/>\n        distTo &#061; new double[G.V];<br \/>\n        edgeTo &#061; new DirectedEdge[G.V];<br \/>\n        pq &#061; new IndexMinPQ&lt;double&gt;(G.V);<\/p>\n<p>        for (int v &#061; 0; v &lt; G.V; v&#043;&#043;)<br \/>\n            distTo[v] &#061; double.PositiveInfinity;<br \/>\n        distTo[s] &#061; 0.0;<\/p>\n<p>        pq.Insert(s, 0.0);<br \/>\n        while (!pq.IsEmpty())<br \/>\n        {<br \/>\n            int v &#061; pq.DelMin();<br \/>\n            foreach (DirectedEdge e in G.Adj(v))<br \/>\n                Relax(e);<br \/>\n        }<br \/>\n    }<\/p>\n<p>    private void Relax(DirectedEdge e)<br \/>\n    {<br \/>\n        int v &#061; e.From, w &#061; e.To;<br \/>\n        if (distTo[w] &gt; distTo[v] &#043; e.Weight)<br \/>\n        {<br \/>\n            distTo[w] &#061; distTo[v] &#043; e.Weight;<br \/>\n            edgeTo[w] &#061; e;<br \/>\n            if (pq.Contains(w)) pq.DecreaseKey(w, distTo[w]);<br \/>\n            else pq.Insert(w, distTo[w]);<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public double DistTo(int v) &#061;&gt; distTo[v];<br \/>\n    public IEnumerable&lt;DirectedEdge&gt; PathTo(int v)<br \/>\n    {<br \/>\n        Stack&lt;DirectedEdge&gt; path &#061; new Stack&lt;DirectedEdge&gt;();<br \/>\n        for (DirectedEdge e &#061; edgeTo[v]; e !&#061; null; e &#061; edgeTo[e.From])<br \/>\n            path.Push(e);<br \/>\n        return path;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class DirectedEdge<br \/>\n{<br \/>\n    public int From { get; }<br \/>\n    public int To { get; }<br \/>\n    public double Weight { get; }<\/p>\n<p>    public DirectedEdge(int from, int to, double weight)<br \/>\n    {<br \/>\n        From &#061; from;<br \/>\n        To &#061; to;<br \/>\n        Weight &#061; weight;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class EdgeWeightedDigraph<br \/>\n{<br \/>\n    public int V { get; }<br \/>\n    private List&lt;DirectedEdge&gt;[] adj;<\/p>\n<p>    public EdgeWeightedDigraph(int v)<br \/>\n    {<br \/>\n        V &#061; v;<br \/>\n        adj &#061; new List&lt;DirectedEdge&gt;[v];<br \/>\n        for (int i &#061; 0; i &lt; v; i&#043;&#043;)<br \/>\n            adj[i] &#061; new List&lt;DirectedEdge&gt;();<br \/>\n    }<\/p>\n<p>    public void AddEdge(DirectedEdge e)<br \/>\n    {<br \/>\n        adj[e.From].Add(e);<br \/>\n    }<\/p>\n<p>    public IEnumerable&lt;DirectedEdge&gt; Adj(int v) &#061;&gt; adj[v];<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>[TestClass]<br \/>\npublic class DijkstraShortestPathsTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void Dijkstra_ShortestPath_ReturnsCorrectDistance()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var G &#061; new EdgeWeightedDigraph(4);<br \/>\n        G.AddEdge(new DirectedEdge(0, 1, 5.0));<br \/>\n        G.AddEdge(new DirectedEdge(0, 2, 10.0));<br \/>\n        G.AddEdge(new DirectedEdge(1, 2, 3.0));<br \/>\n        G.AddEdge(new DirectedEdge(2, 3, 2.0));<br \/>\n        var dijkstra &#061; new DijkstraShortestPaths(G, 0);<\/p>\n<p>        \/\/ Act<br \/>\n        double distTo3 &#061; dijkstra.DistTo(3);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(10.0, distTo3, 0.001); \/\/ 0 -&gt; 1 -&gt; 2 -&gt; 3<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u8d34\u7247\u673a\u4e2d&#xff0c;\u673a\u68b0\u81c2\u9700\u8981\u5728\u7535\u8def\u677f\u4e0a\u7684\u591a\u4e2a\u70b9\u4e4b\u95f4\u79fb\u52a8&#xff0c;\u5b89\u88c5\u7535\u5b50\u5143\u4ef6\u3002\u8fea\u6770\u65af\u7279\u62c9\u7b97\u6cd5\u53ef\u4f18\u5316\u79fb\u52a8\u8def\u5f84&#xff0c;\u51cf\u5c11\u603b\u79fb\u52a8\u65f6\u95f4\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class SmtPlacementOptimizer<br \/>\n{<br \/>\n    public class ComponentPlacement<br \/>\n    {<br \/>\n        public int Id { get; }<br \/>\n        public double X { get; }<br \/>\n        public double Y { get; }<\/p>\n<p>        public ComponentPlacement(int id, double x, double y)<br \/>\n        {<br \/>\n            Id &#061; id;<br \/>\n            X &#061; x;<br \/>\n            Y &#061; y;<br \/>\n        }<\/p>\n<p>        public double DistanceTo(ComponentPlacement other)<br \/>\n        {<br \/>\n            return Math.Sqrt(Math.Pow(X &#8211; other.X, 2) &#043; Math.Pow(Y &#8211; other.Y, 2));<br \/>\n        }<br \/>\n    }<\/p>\n<p>    public List&lt;int&gt; FindOptimalPath(ComponentPlacement[] placements)<br \/>\n    {<br \/>\n        int n &#061; placements.Length;<br \/>\n        var G &#061; new EdgeWeightedDigraph(n);<br \/>\n        for (int i &#061; 0; i &lt; n; i&#043;&#043;)<br \/>\n        for (int j &#061; 0; j &lt; n; j&#043;&#043;)<br \/>\n            if (i !&#061; j)<br \/>\n                G.AddEdge(new DirectedEdge(i, j, placements[i].DistanceTo(placements[j])));<\/p>\n<p>        var dijkstra &#061; new DijkstraShortestPaths(G, 0);<br \/>\n        var path &#061; dijkstra.PathTo(n &#8211; 1).Select(e &#061;&gt; e.To).ToList();<br \/>\n        path.Insert(0, 0);<br \/>\n        return path;<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void SmtPlacementOptimizer_OptimalPath_ReturnsCorrectPath()<br \/>\n{<br \/>\n    var placements &#061; new[]<br \/>\n    {<br \/>\n        new ComponentPlacement(0, 0, 0),<br \/>\n        new ComponentPlacement(1, 1, 1),<br \/>\n        new ComponentPlacement(2, 2, 2)<br \/>\n    };<\/p>\n<p>    var optimizer &#061; new SmtPlacementOptimizer();<br \/>\n    var path &#061; optimizer.FindOptimalPath(placements);<\/p>\n<p>    Assert.AreEqual(3, path.Count);<br \/>\n    Assert.IsTrue(path.SequenceEqual(new[] { 0, 1, 2 }));<br \/>\n}<\/p>\n<hr \/>\n<p>\u4e09\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u4e8c\u53c9\u641c\u7d22\u6811 (Binary Search Tree)\u4e2d\u6587\u89e3\u91ca\u4e8c\u53c9\u641c\u7d22\u6811&#xff08;BST&#xff09;\u662f\u4e00\u79cd\u6811\u5f62\u6570\u636e\u7ed3\u6784&#xff0c;\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u4e2a\u5b50\u8282\u70b9&#xff08;\u5de6\u5b50\u8282\u70b9 &lt; \u7236\u8282\u70b9 &lt; \u53f3\u5b50\u8282\u70b9&#xff09;\u3002\u5b83\u652f\u6301\u9ad8\u6548\u7684\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u64cd\u4f5c&#xff0c;\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(log n)&#xff0c;\u4f46\u6700\u574f\u60c5\u51b5\u4e0b&#xff08;\u9000\u5316\u4e3a\u94fe\u8868&#xff09;\u4e3a O(n)\u3002\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u952e\u503c\u5bf9\u5b58\u50a8&#xff08;\u5982\u6570\u636e\u5e93\u7d22\u5f15&#xff09;\u3001\u52a8\u6001\u6570\u636e\u96c6\u7ba1\u7406\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u6d4b\u8bd5\u673a\u4e2d\u7ba1\u7406\u6676\u5706\u6d4b\u8bd5\u7ed3\u679c&#xff08;\u5982\u6309\u6676\u5706ID\u5feb\u901f\u67e5\u627e\u6d4b\u8bd5\u6570\u636e&#xff09;\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u52a8\u6001\u63d2\u5165\/\u5220\u9664\u3001\u652f\u6301\u8303\u56f4\u67e5\u8be2\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u4e0d\u5e73\u8861\u65f6\u6027\u80fd\u9000\u5316&#xff0c;\u9700\u4f7f\u7528\u81ea\u5e73\u8861\u6811&#xff08;\u5982AVL\u6216\u7ea2\u9ed1\u6811&#xff09;\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class BinarySearchTree&lt;TKey, TValue&gt; where TKey : IComparable&lt;TKey&gt;<br \/>\n{<br \/>\n    private class Node<br \/>\n    {<br \/>\n        public TKey Key { get; set; }<br \/>\n        public TValue Value { get; set; }<br \/>\n        public Node Left { get; set; }<br \/>\n        public Node Right { get; set; }<\/p>\n<p>        public Node(TKey key, TValue value)<br \/>\n        {<br \/>\n            Key &#061; key;<br \/>\n            Value &#061; value;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    private Node root;<\/p>\n<p>    public void Put(TKey key, TValue value)<br \/>\n    {<br \/>\n        root &#061; Put(root, key, value);<br \/>\n    }<\/p>\n<p>    private Node Put(Node node, TKey key, TValue value)<br \/>\n    {<br \/>\n        if (node &#061;&#061; null) return new Node(key, value);<br \/>\n        int cmp &#061; key.CompareTo(node.Key);<br \/>\n        if (cmp &lt; 0) node.Left &#061; Put(node.Left, key, value);<br \/>\n        else if (cmp &gt; 0) node.Right &#061; Put(node.Right, key, value);<br \/>\n        else node.Value &#061; value;<br \/>\n        return node;<br \/>\n    }<\/p>\n<p>    public TValue Get(TKey key)<br \/>\n    {<br \/>\n        Node node &#061; Get(root, key);<br \/>\n        return node &#061;&#061; null ? default : node.Value;<br \/>\n    }<\/p>\n<p>    private Node Get(Node node, TKey key)<br \/>\n    {<br \/>\n        if (node &#061;&#061; null) return null;<br \/>\n        int cmp &#061; key.CompareTo(node.Key);<br \/>\n        if (cmp &lt; 0) return Get(node.Left, key);<br \/>\n        else if (cmp &gt; 0) return Get(node.Right, key);<br \/>\n        else return node;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>[TestClass]<br \/>\npublic class BinarySearchTreeTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void PutAndGet_ValidKeyValue_ReturnsCorrectValue()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var bst &#061; new BinarySearchTree&lt;int, string&gt;();<br \/>\n        bst.Put(1, &#034;One&#034;);<br \/>\n        bst.Put(2, &#034;Two&#034;);<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; bst.Get(1);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(&#034;One&#034;, value);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void Get_NonExistentKey_ReturnsDefault()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var bst &#061; new BinarySearchTree&lt;int, string&gt;();<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; bst.Get(1);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.IsNull(value);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4e2d&#xff0c;\u4e8c\u53c9\u641c\u7d22\u6811\u53ef\u7528\u4e8e\u5feb\u901f\u67e5\u627e\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff08;\u5982\u6309\u6676\u5706ID\u67e5\u627e\u6d4b\u8bd5\u7ed3\u679c&#xff09;\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class WaferTestResult<br \/>\n{<br \/>\n    public int WaferId { get; set; }<br \/>\n    public double DefectRate { get; set; }<\/p>\n<p>    public WaferTestResult(int waferId, double defectRate)<br \/>\n    {<br \/>\n        WaferId &#061; waferId;<br \/>\n        DefectRate &#061; defectRate;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class WaferTestManager<br \/>\n{<br \/>\n    private BinarySearchTree&lt;int, WaferTestResult&gt; bst &#061; new BinarySearchTree&lt;int, WaferTestResult&gt;();<\/p>\n<p>    public void AddTestResult(int waferId, double defectRate)<br \/>\n    {<br \/>\n        bst.Put(waferId, new WaferTestResult(waferId, defectRate));<br \/>\n    }<\/p>\n<p>    public WaferTestResult GetTestResult(int waferId)<br \/>\n    {<br \/>\n        return bst.Get(waferId);<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void WaferTestManager_GetTestResult_ReturnsCorrectResult()<br \/>\n{<br \/>\n    var manager &#061; new WaferTestManager();<br \/>\n    manager.AddTestResult(1001, 0.05);<br \/>\n    manager.AddTestResult(1002, 0.03);<\/p>\n<p>    var result &#061; manager.GetTestResult(1001);<\/p>\n<p>    Assert.AreEqual(0.05, result.DefectRate);<br \/>\n}<\/p>\n<hr \/>\n<p>\u56db\u3001\u603b\u7ed3\u4e0e\u6ce8\u610f\u4e8b\u9879<\/p>\n<li>\u9879\u76ee\u7279\u70b9&#xff1a;\u8be5\u7c7b\u5e93\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u636e\u7ed3\u6784\u548c\u7b97\u6cd5\u5b9e\u73b0&#xff0c;\u4ee3\u7801\u6a21\u5757\u5316\u4e14\u6613\u4e8e\u6269\u5c55&#xff0c;\u9002\u5408\u6559\u80b2\u548c\u751f\u4ea7\u73af\u5883\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u5e94\u7528&#xff1a;\n<ul>\n<li>\u5feb\u901f\u6392\u5e8f&#xff1a;\u7528\u4e8e\u6392\u5e8f\u6d4b\u8bd5\u6570\u636e&#xff0c;\u4fbf\u4e8e\u5206\u6790\u3002<\/li>\n<li>\u8fea\u6770\u65af\u7279\u62c9\u7b97\u6cd5&#xff1a;\u4f18\u5316\u8d34\u7247\u673a\u8def\u5f84&#xff0c;\u51cf\u5c11\u673a\u68b0\u81c2\u79fb\u52a8\u65f6\u95f4\u3002<\/li>\n<li>\u4e8c\u53c9\u641c\u7d22\u6811&#xff1a;\u5feb\u901f\u67e5\u627e\u548c\u7ba1\u7406\u6d4b\u8bd5\u6570\u636e\u3002<\/li>\n<\/ul>\n<\/li>\n<li>\u6269\u5c55\u6027&#xff1a;\u5bf9\u4e8e\u66f4\u590d\u6742\u7684\u534a\u5bfc\u4f53\u573a\u666f&#xff08;\u5982\u5b9e\u65f6\u8c03\u5ea6&#xff09;&#xff0c;\u53ef\u7ed3\u5408\u4f18\u5148\u961f\u5217\u6216\u7ea2\u9ed1\u6811\u4f18\u5316\u6027\u80fd\u3002<\/li>\n<li>\u5c40\u9650\u6027&#xff1a;\u67d0\u4e9b\u7b97\u6cd5&#xff08;\u5982\u5feb\u901f\u6392\u5e8f\u5728\u6700\u574f\u60c5\u51b5\u4e0b\u7684\u6027\u80fd&#xff09;\u9700\u901a\u8fc7\u6539\u8fdb&#xff08;\u5982\u968f\u673a\u5316\u57fa\u51c6\u9009\u62e9&#xff09;\u4f18\u5316\u3002<\/li>\n<p>\u5982\u679c\u60a8\u9700\u8981\u66f4\u8be6\u7ec6\u7684\u67d0\u7b97\u6cd5\u5b9e\u73b0\u3001\u6d4b\u8bd5\u7528\u4f8b&#xff0c;\u6216\u9488\u5bf9\u7279\u5b9a\u534a\u5bfc\u4f53\u8bbe\u5907&#xff08;\u5982\u6676\u5706\u5207\u5272\u673a\u3001\u63a2\u9488\u6d4b\u8bd5\u673a&#xff09;\u7684\u5b9a\u5236\u4ee3\u7801&#xff0c;\u8bf7\u8fdb\u4e00\u6b65\u8bf4\u660e&#xff0c;\u6211\u5c06\u63d0\u4f9b\u66f4\u6df1\u5165\u7684\u793a\u4f8b&#xff01;<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p>\u7ee7\u7eed<\/p>\n<p>\u597d\u7684&#xff01;\u7531\u4e8e\u60a8\u8981\u6c42\u7ee7\u7eed&#xff0c;\u6211\u5c06\u8fdb\u4e00\u6b65\u6269\u5c55\u5bf9 C# \u7c7b\u5e93\u9879\u76ee\u4e2d\u5176\u4ed6\u7b97\u6cd5\u548c\u6570\u636e\u7ed3\u6784\u7684\u8be6\u7ec6\u89e3\u6790&#xff0c;\u91cd\u70b9\u8865\u5145\u4e00\u4e9b\u672a\u8986\u76d6\u7684\u4ee3\u8868\u6027\u5185\u5bb9&#xff0c;\u5e76\u63d0\u4f9b\u66f4\u6df1\u5165\u7684\u534a\u5bfc\u4f53\u4ea7\u7ebf\u76f8\u5173\u573a\u666f\u7684\u4ee3\u7801\u793a\u4f8b\u3002\u6211\u4f1a\u6311\u9009\u4ee5\u4e0b\u5185\u5bb9\u8fdb\u884c\u8be6\u89e3&#xff1a;<\/p>\n<li>\u7ea2\u9ed1\u6811&#xff08;Red-Black Tree&#xff09;&#xff1a;\u4e00\u79cd\u81ea\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811&#xff0c;\u9002\u7528\u4e8e\u9ad8\u9891\u63d2\u5165\u548c\u5220\u9664\u64cd\u4f5c\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff08;Cuckoo Hash Table&#xff09;&#xff1a;\u9ad8\u6548\u7684\u54c8\u5e0c\u8868\u5b9e\u73b0&#xff0c;\u9002\u5408\u5feb\u901f\u67e5\u627e\u3002<\/li>\n<li>\u62d3\u6251\u6392\u5e8f&#xff08;Topological Sort&#xff09;&#xff1a;\u7528\u4e8e\u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG&#xff09;\u7684\u4efb\u52a1\u8c03\u5ea6\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u9488\u5bf9\u8d34\u7247\u673a&#xff08;SMT\u8bbe\u5907&#xff09;\u6216\u6d4b\u8bd5\u673a\u7684\u5177\u4f53\u4f18\u5316\u793a\u4f8b\u3002<\/li>\n<p>\u6bcf\u4e2a\u90e8\u5206\u5c06\u5305\u542b\u4e2d\u6587\u89e3\u91ca\u3001\u9002\u7528\u573a\u666f\u3001\u793a\u4f8b\u4ee3\u7801\u3001\u6d4b\u8bd5\u7528\u4f8b&#xff0c;\u5e76\u7279\u522b\u4e3a\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f\u63d0\u4f9b\u8be6\u7ec6\u4ee3\u7801\u793a\u4f8b\u3002\u7531\u4e8e\u5185\u5bb9\u8f83\u591a&#xff0c;\u6211\u4f1a\u5c3d\u91cf\u4fdd\u6301\u6e05\u6670\u548c\u7b80\u6d01\u3002\u5982\u679c\u60a8\u6709\u7279\u5b9a\u7684\u7b97\u6cd5\u6216\u573a\u666f\u9700\u8981\u91cd\u70b9\u8bb2\u89e3&#xff0c;\u8bf7\u968f\u65f6\u8bf4\u660e&#xff01;<\/p>\n<hr \/>\n<p>\u4e00\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u7ea2\u9ed1\u6811 (Red-Black Tree)\u4e2d\u6587\u89e3\u91ca\u7ea2\u9ed1\u6811\u662f\u4e00\u79cd\u81ea\u5e73\u8861\u4e8c\u53c9\u641c\u7d22\u6811&#xff0c;\u901a\u8fc7\u8282\u70b9\u7740\u8272&#xff08;\u7ea2\u6216\u9ed1&#xff09;\u548c\u4e00\u7cfb\u5217\u89c4\u5219&#xff08;\u65cb\u8f6c\u3001\u989c\u8272\u8c03\u6574&#xff09;\u4fdd\u8bc1\u6811\u7684\u9ad8\u5ea6\u59cb\u7ec8\u63a5\u8fd1 O(log n)&#xff0c;\u4ece\u800c\u786e\u4fdd\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u627e\u7684\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(log n)\u3002\u7ea2\u9ed1\u6811\u7684\u89c4\u5219\u5305\u62ec&#xff1a;<\/p>\n<li>\u6bcf\u4e2a\u8282\u70b9\u662f\u7ea2\u8272\u6216\u9ed1\u8272\u3002<\/li>\n<li>\u6839\u8282\u70b9\u4e3a\u9ed1\u8272\u3002<\/li>\n<li>\u6240\u6709\u53f6\u5b50\u8282\u70b9&#xff08;NIL&#xff09;\u4e3a\u9ed1\u8272\u3002<\/li>\n<li>\u7ea2\u8272\u8282\u70b9\u7684\u5b50\u8282\u70b9\u5fc5\u987b\u4e3a\u9ed1\u8272\u3002<\/li>\n<li>\u4ece\u4efb\u4e00\u8282\u70b9\u5230\u5176\u53f6\u5b50\u8282\u70b9\u7684\u6240\u6709\u8def\u5f84\u5305\u542b\u76f8\u540c\u6570\u91cf\u7684\u9ed1\u8272\u8282\u70b9\u3002<\/li>\n<p>\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u6570\u636e\u5e93\u7d22\u5f15&#xff08;\u5982 SQL Server \u7684 B&#043; \u6811\u53d8\u79cd&#xff09;\u3001\u952e\u503c\u5b58\u50a8\u3001\u5185\u5b58\u7ba1\u7406\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u6d4b\u8bd5\u673a\u4e2d&#xff0c;\u7ba1\u7406\u52a8\u6001\u66f4\u65b0\u7684\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff08;\u5982\u6309\u6d4b\u8bd5\u65f6\u95f4\u6216 ID \u5feb\u901f\u67e5\u627e&#xff09;&#xff0c;\u4fdd\u8bc1\u9ad8\u6548\u7684\u63d2\u5165\u548c\u67e5\u8be2\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u81ea\u5e73\u8861&#xff0c;\u9002\u5408\u52a8\u6001\u6570\u636e\u96c6&#xff0c;\u6027\u80fd\u7a33\u5b9a\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u5b9e\u73b0\u590d\u6742&#xff0c;\u7ef4\u62a4\u6210\u672c\u8f83\u9ad8\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801\u4ee5\u4e0b\u662f\u7ea2\u9ed1\u6811\u7684\u7b80\u5316\u548c\u5173\u952e\u5b9e\u73b0&#xff08;\u57fa\u4e8e\u9879\u76ee\u7684 RedBlackTree \u7ed3\u6784&#xff0c;\u7b80\u5316\u4ee5\u7a81\u51fa\u6838\u5fc3\u903b\u8f91&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class RedBlackTree&lt;TKey, TValue&gt; where TKey : IComparable&lt;TKey&gt;<br \/>\n{<br \/>\n    private class Node<br \/>\n    {<br \/>\n        public TKey Key { get; set; }<br \/>\n        public TValue Value { get; set; }<br \/>\n        public Node Left { get; set; }<br \/>\n        public Node Right { get; set; }<br \/>\n        public bool IsRed { get; set; }<\/p>\n<p>        public Node(TKey key, TValue value, bool isRed)<br \/>\n        {<br \/>\n            Key &#061; key;<br \/>\n            Value &#061; value;<br \/>\n            IsRed &#061; isRed;<br \/>\n        }<br \/>\n    }<\/p>\n<p>    private Node root;<br \/>\n    private const bool RED &#061; true;<br \/>\n    private const bool BLACK &#061; false;<\/p>\n<p>    public void Put(TKey key, TValue value)<br \/>\n    {<br \/>\n        root &#061; Put(root, key, value);<br \/>\n        root.IsRed &#061; BLACK; \/\/ \u6839\u8282\u70b9\u59cb\u7ec8\u4e3a\u9ed1\u8272<br \/>\n    }<\/p>\n<p>    private Node Put(Node h, TKey key, TValue value)<br \/>\n    {<br \/>\n        if (h &#061;&#061; null) return new Node(key, value, RED);<\/p>\n<p>        int cmp &#061; key.CompareTo(h.Key);<br \/>\n        if (cmp &lt; 0) h.Left &#061; Put(h.Left, key, value);<br \/>\n        else if (cmp &gt; 0) h.Right &#061; Put(h.Right, key, value);<br \/>\n        else h.Value &#061; value;<\/p>\n<p>        \/\/ \u5e73\u8861\u8c03\u6574<br \/>\n        if (IsRed(h.Right) &amp;&amp; !IsRed(h.Left)) h &#061; RotateLeft(h);<br \/>\n        if (IsRed(h.Left) &amp;&amp; IsRed(h.Left.Left)) h &#061; RotateRight(h);<br \/>\n        if (IsRed(h.Left) &amp;&amp; IsRed(h.Right)) FlipColors(h);<\/p>\n<p>        return h;<br \/>\n    }<\/p>\n<p>    private bool IsRed(Node x) &#061;&gt; x !&#061; null &amp;&amp; x.IsRed;<\/p>\n<p>    private Node RotateLeft(Node h)<br \/>\n    {<br \/>\n        Node x &#061; h.Right;<br \/>\n        h.Right &#061; x.Left;<br \/>\n        x.Left &#061; h;<br \/>\n        x.IsRed &#061; h.IsRed;<br \/>\n        h.IsRed &#061; RED;<br \/>\n        return x;<br \/>\n    }<\/p>\n<p>    private Node RotateRight(Node h)<br \/>\n    {<br \/>\n        Node x &#061; h.Left;<br \/>\n        h.Left &#061; x.Right;<br \/>\n        x.Right &#061; h;<br \/>\n        x.IsRed &#061; h.IsRed;<br \/>\n        h.IsRed &#061; RED;<br \/>\n        return x;<br \/>\n    }<\/p>\n<p>    private void FlipColors(Node h)<br \/>\n    {<br \/>\n        h.IsRed &#061; RED;<br \/>\n        h.Left.IsRed &#061; BLACK;<br \/>\n        h.Right.IsRed &#061; BLACK;<br \/>\n    }<\/p>\n<p>    public TValue Get(TKey key)<br \/>\n    {<br \/>\n        Node node &#061; Get(root, key);<br \/>\n        return node &#061;&#061; null ? default : node.Value;<br \/>\n    }<\/p>\n<p>    private Node Get(Node x, TKey key)<br \/>\n    {<br \/>\n        while (x !&#061; null)<br \/>\n        {<br \/>\n            int cmp &#061; key.CompareTo(x.Key);<br \/>\n            if (cmp &lt; 0) x &#061; x.Left;<br \/>\n            else if (cmp &gt; 0) x &#061; x.Right;<br \/>\n            else return x;<br \/>\n        }<br \/>\n        return null;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>using Microsoft.VisualStudio.TestTools.UnitTesting;<\/p>\n<p>[TestClass]<br \/>\npublic class RedBlackTreeTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void PutAndGet_ValidKeyValue_ReturnsCorrectValue()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var rbt &#061; new RedBlackTree&lt;int, string&gt;();<br \/>\n        rbt.Put(1, &#034;One&#034;);<br \/>\n        rbt.Put(2, &#034;Two&#034;);<br \/>\n        rbt.Put(3, &#034;Three&#034;);<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; rbt.Get(2);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(&#034;Two&#034;, value);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void Get_NonExistentKey_ReturnsDefault()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var rbt &#061; new RedBlackTree&lt;int, string&gt;();<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; rbt.Get(1);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.IsNull(value);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u534a\u5bfc\u4f53\u6d4b\u8bd5\u673a\u4e2d&#xff0c;\u7ea2\u9ed1\u6811\u53ef\u7528\u4e8e\u7ba1\u7406\u52a8\u6001\u66f4\u65b0\u7684\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff08;\u5982\u6309\u6676\u5706ID\u5b58\u50a8\u6d4b\u8bd5\u7ed3\u679c&#xff09;&#xff0c;\u652f\u6301\u9ad8\u6548\u7684\u63d2\u5165\u548c\u67e5\u8be2\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class WaferTestData<br \/>\n{<br \/>\n    public int WaferId { get; set; }<br \/>\n    public double DefectRate { get; set; }<br \/>\n    public DateTime TestTime { get; set; }<\/p>\n<p>    public WaferTestData(int waferId, double defectRate, DateTime testTime)<br \/>\n    {<br \/>\n        WaferId &#061; waferId;<br \/>\n        DefectRate &#061; defectRate;<br \/>\n        TestTime &#061; testTime;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class WaferTestManager<br \/>\n{<br \/>\n    private RedBlackTree&lt;int, WaferTestData&gt; rbt &#061; new RedBlackTree&lt;int, WaferTestData&gt;();<\/p>\n<p>    public void AddTestResult(int waferId, double defectRate, DateTime testTime)<br \/>\n    {<br \/>\n        rbt.Put(waferId, new WaferTestData(waferId, defectRate, testTime));<br \/>\n    }<\/p>\n<p>    public WaferTestData GetTestResult(int waferId)<br \/>\n    {<br \/>\n        return rbt.Get(waferId);<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void WaferTestManager_GetTestResult_ReturnsCorrectResult()<br \/>\n{<br \/>\n    var manager &#061; new WaferTest cystic fibrosisManager();<br \/>\n    manager.AddTestResult(1001, 0.05, DateTime.Now);<br \/>\n    manager.AddTestResult(1002, 0.03, DateTime.Now);<\/p>\n<p>    var result &#061; manager.GetTestResult(1001);<\/p>\n<p>    Assert.AreEqual(0.05, result.DefectRate);<br \/>\n}<\/p>\n<hr \/>\n<p>\u4e8c\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868 (Cuckoo Hash Table)\u4e2d\u6587\u89e3\u91ca\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u54c8\u5e0c\u8868\u5b9e\u73b0&#xff0c;\u4f7f\u7528\u4e24\u4e2a\u54c8\u5e0c\u51fd\u6570\u548c\u4e24\u4e2a\u4f4d\u7f6e\u5b58\u50a8\u6bcf\u4e2a\u952e\u503c\u5bf9\u3002\u5982\u679c\u63d2\u5165\u65f6\u53d1\u751f\u51b2\u7a81&#xff0c;\u4f1a\u5c06\u73b0\u6709\u5143\u7d20\u201c\u8e22\u51fa\u201d\u5e76\u91cd\u65b0\u63d2\u5165\u5230\u53e6\u4e00\u4e2a\u4f4d\u7f6e\u3002\u5b83\u7684\u67e5\u627e\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(1)&#xff0c;\u63d2\u5165\u548c\u5220\u9664\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e5f\u63a5\u8fd1 O(1)\u3002\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u9ad8\u6027\u80fd\u952e\u503c\u5b58\u50a8&#xff08;\u5982\u7f13\u5b58\u7cfb\u7edf\u3001\u6570\u636e\u5e93\u7d22\u5f15&#xff09;\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u8d34\u7247\u673a\u4e2d&#xff0c;\u5feb\u901f\u67e5\u627e\u5143\u4ef6\u7684\u7c7b\u578b\u548c\u4f4d\u7f6e\u4fe1\u606f&#xff08;\u5982\u5143\u4ef6ID\u5230\u5750\u6807\u7684\u6620\u5c04&#xff09;\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u5e38\u6570\u65f6\u95f4\u67e5\u627e&#xff0c;\u9ad8\u6548\u5229\u7528\u7a7a\u95f4\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u53ef\u80fd\u51fa\u73b0\u5faa\u73af\u51b2\u7a81&#xff0c;\u9700\u8981\u91cd\u65b0\u54c8\u5e0c\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801\u4ee5\u4e0b\u662f\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u7684\u5b9e\u73b0&#xff08;\u7b80\u5316\u7248&#xff0c;\u57fa\u4e8e\u9879\u76ee\u7ed3\u6784&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class CuckooHashTable&lt;TKey, TValue&gt;<br \/>\n{<br \/>\n    private TKey[] keys1, keys2;<br \/>\n    private TValue[] values1, values2;<br \/>\n    private int capacity;<br \/>\n    private int size;<br \/>\n    private readonly Func&lt;TKey, int&gt; hash1;<br \/>\n    private readonly Func&lt;TKey, int&gt; hash2;<\/p>\n<p>    public CuckooHashTable(int capacity)<br \/>\n    {<br \/>\n        this.capacity &#061; capacity;<br \/>\n        keys1 &#061; new TKey[capacity];<br \/>\n        keys2 &#061; new TKey[capacity];<br \/>\n        values1 &#061; new TValue[capacity];<br \/>\n        values2 &#061; new TValue[capacity];<br \/>\n        size &#061; 0;<br \/>\n        hash1 &#061; key &#061;&gt; key.GetHashCode() % capacity;<br \/>\n        hash2 &#061; key &#061;&gt; (key.GetHashCode() \/ capacity) % capacity;<br \/>\n    }<\/p>\n<p>    public void Put(TKey key, TValue value)<br \/>\n    {<br \/>\n        if (size &gt;&#061; capacity * 0.75) Resize();<br \/>\n        PutInternal(key, value, 0);<br \/>\n    }<\/p>\n<p>    private bool PutInternal(TKey key, TValue value, int depth)<br \/>\n    {<br \/>\n        if (depth &gt; capacity) return false; \/\/ \u907f\u514d\u65e0\u9650\u5faa\u73af<\/p>\n<p>        int pos1 &#061; hash1(key);<br \/>\n        if (keys1[pos1] &#061;&#061; null)<br \/>\n        {<br \/>\n            keys1[pos1] &#061; key;<br \/>\n            values1[pos1] &#061; value;<br \/>\n            size&#043;&#043;;<br \/>\n            return true;<br \/>\n        }<\/p>\n<p>        int pos2 &#061; hash2(key);<br \/>\n        if (keys2[pos2] &#061;&#061; null)<br \/>\n        {<br \/>\n            keys2[pos2] &#061; key;<br \/>\n            values2[pos2] &#061; value;<br \/>\n            size&#043;&#043;;<br \/>\n            return true;<br \/>\n        }<\/p>\n<p>        \/\/ \u8e22\u51fa\u7b2c\u4e00\u4e2a\u8868\u4e2d\u7684\u5143\u7d20<br \/>\n        TKey tempKey &#061; keys1[pos1];<br \/>\n        TValue tempValue &#061; values1[pos1];<br \/>\n        keys1[pos1] &#061; key;<br \/>\n        values1[pos1] &#061; value;<br \/>\n        return PutInternal(tempKey, tempValue, depth &#043; 1);<br \/>\n    }<\/p>\n<p>    public TValue Get(TKey key)<br \/>\n    {<br \/>\n        int pos1 &#061; hash1(key);<br \/>\n        if (keys1[pos1] !&#061; null &amp;&amp; keys1[pos1].Equals(key))<br \/>\n            return values1[pos1];<\/p>\n<p>        int pos2 &#061; hash2(key);<br \/>\n        if (keys2[pos2] !&#061; null &amp;&amp; keys2[pos2].Equals(key))<br \/>\n            return values2[pos2];<\/p>\n<p>        return default;<br \/>\n    }<\/p>\n<p>    private void Resize()<br \/>\n    {<br \/>\n        \/\/ \u5b9e\u73b0\u91cd\u65b0\u5206\u914d\u548c\u91cd\u65b0\u63d2\u5165\u903b\u8f91&#xff08;\u6b64\u5904\u7701\u7565\u4ee5\u7b80\u5316&#xff09;<br \/>\n    }<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>[TestClass]<br \/>\npublic class CuckooHashTableTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void PutAndGet_ValidKeyValue_ReturnsCorrectValue()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var cuckoo &#061; new CuckooHashTable&lt;int, string&gt;(10);<br \/>\n        cuckoo.Put(1, &#034;One&#034;);<br \/>\n        cuckoo.Put(2, &#034;Two&#034;);<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; cuckoo.Get(1);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.AreEqual(&#034;One&#034;, value);<br \/>\n    }<\/p>\n<p>    [TestMethod]<br \/>\n    public void Get_NonExistentKey_ReturnsDefault()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var cuckoo &#061; new CuckooHashTable&lt;int, string&gt;(10);<\/p>\n<p>        \/\/ Act<br \/>\n        string value &#061; cuckoo.Get(1);<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.IsNull(value);<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u8d34\u7247\u673a\u4e2d&#xff0c;\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u53ef\u7528\u4e8e\u5feb\u901f\u67e5\u627e\u5143\u4ef6\u7684\u5750\u6807\u4fe1\u606f&#xff08;\u4f8b\u5982&#xff0c;\u5143\u4ef6ID\u5230\u8d34\u7247\u4f4d\u7f6e\u7684\u6620\u5c04&#xff09;\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class ComponentPlacement<br \/>\n{<br \/>\n    public int ComponentId { get; set; }<br \/>\n    public double X { get; set; }<br \/>\n    public double Y { get; set; }<\/p>\n<p>    public ComponentPlacement(int componentId, double x, double y)<br \/>\n    {<br \/>\n        ComponentId &#061; componentId;<br \/>\n        X &#061; x;<br \/>\n        Y &#061; y;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class SmtComponentLookup<br \/>\n{<br \/>\n    private CuckooHashTable&lt;int, ComponentPlacement&gt; table;<\/p>\n<p>    public SmtComponentLookup(int capacity)<br \/>\n    {<br \/>\n        table &#061; new CuckooHashTable&lt;int, ComponentPlacement&gt;(capacity);<br \/>\n    }<\/p>\n<p>    public void AddComponent(int componentId, double x, double y)<br \/>\n    {<br \/>\n        table.Put(componentId, new ComponentPlacement(componentId, x, y));<br \/>\n    }<\/p>\n<p>    public ComponentPlacement GetComponent(int componentId)<br \/>\n    {<br \/>\n        return table.Get(componentId);<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void SmtComponentLookup_GetComponent_ReturnsCorrectPosition()<br \/>\n{<br \/>\n    var lookup &#061; new SmtComponentLookup(10);<br \/>\n    lookup.AddComponent(1001, 10.5, 20.5);<br \/>\n    lookup.AddComponent(1002, 15.0, 25.0);<\/p>\n<p>    var component &#061; lookup.GetComponent(1001);<\/p>\n<p>    Assert.AreEqual(10.5, component.X);<br \/>\n    Assert.AreEqual(20.5, component.Y);<br \/>\n}<\/p>\n<hr \/>\n<p>\u4e09\u3001\u7b97\u6cd5\u8be6\u89e3&#xff1a;\u62d3\u6251\u6392\u5e8f (Topological Sort)\u4e2d\u6587\u89e3\u91ca\u62d3\u6251\u6392\u5e8f\u7528\u4e8e\u6709\u5411\u65e0\u73af\u56fe&#xff08;DAG&#xff09;&#xff0c;\u4e3a\u56fe\u4e2d\u7684\u6240\u6709\u8282\u70b9\u63d0\u4f9b\u4e00\u4e2a\u7ebf\u6027\u6392\u5e8f&#xff0c;\u4f7f\u5f97\u5bf9\u4e8e\u6bcf\u6761\u8fb9 (u, v)&#xff0c;u \u5728\u6392\u5e8f\u4e2d\u4f4d\u4e8e v \u4e4b\u524d\u3002\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a O(V &#043; E)&#xff0c;\u901a\u5e38\u901a\u8fc7\u6df1\u5ea6\u4f18\u5148\u641c\u7d22&#xff08;DFS&#xff09;\u5b9e\u73b0\u3002\u9002\u7528\u573a\u666f<\/p>\n<ul>\n<li>\u901a\u7528\u573a\u666f&#xff1a;\u4efb\u52a1\u8c03\u5ea6&#xff08;\u5982\u8bfe\u7a0b\u4f9d\u8d56\u3001\u6784\u5efa\u7cfb\u7edf&#xff09;\u3001\u4f9d\u8d56\u89e3\u6790\u3002<\/li>\n<li>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u573a\u666f&#xff1a;\u5728\u534a\u5bfc\u4f53\u5236\u9020\u4e2d&#xff0c;\u4f18\u5316\u751f\u4ea7\u6d41\u7a0b\u7684\u5de5\u5e8f\u987a\u5e8f&#xff08;\u5982\u6676\u5706\u6e05\u6d17\u3001\u523b\u8680\u3001\u6d4b\u8bd5\u7684\u4f9d\u8d56\u5173\u7cfb&#xff09;\u3002<\/li>\n<li>\u4f18\u70b9&#xff1a;\u7b80\u5355\u9ad8\u6548&#xff0c;\u9002\u7528\u4e8e\u4f9d\u8d56\u5173\u7cfb\u660e\u786e\u7684\u573a\u666f\u3002<\/li>\n<li>\u7f3a\u70b9&#xff1a;\u4e0d\u9002\u7528\u4e8e\u6709\u73af\u56fe\u3002<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u4ee3\u7801\u4ee5\u4e0b\u662f\u62d3\u6251\u6392\u5e8f\u7684\u5b9e\u73b0&#xff08;\u57fa\u4e8e\u9879\u76ee\u7684 TopologicalSorter&#xff09;&#xff1a;csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class TopologicalSort<br \/>\n{<br \/>\n    private bool[] marked;<br \/>\n    private Stack&lt;int&gt; reversePostorder;<\/p>\n<p>    public TopologicalSort(Digraph G)<br \/>\n    {<br \/>\n        marked &#061; new bool[G.V];<br \/>\n        reversePostorder &#061; new Stack&lt;int&gt;();<br \/>\n        for (int v &#061; 0; v &lt; G.V; v&#043;&#043;)<br \/>\n            if (!marked[v])<br \/>\n                Dfs(G, v);<br \/>\n    }<\/p>\n<p>    private void Dfs(Digraph G, int v)<br \/>\n    {<br \/>\n        marked[v] &#061; true;<br \/>\n        foreach (int w in G.Adj(v))<br \/>\n            if (!marked[w])<br \/>\n                Dfs(G, w);<br \/>\n        reversePostorder.Push(v);<br \/>\n    }<\/p>\n<p>    public IEnumerable&lt;int&gt; Order() &#061;&gt; reversePostorder;<br \/>\n}<\/p>\n<p>public class Digraph<br \/>\n{<br \/>\n    public int V { get; }<br \/>\n    private List&lt;int&gt;[] adj;<\/p>\n<p>    public Digraph(int v)<br \/>\n    {<br \/>\n        V &#061; v;<br \/>\n        adj &#061; new List&lt;int&gt;[v];<br \/>\n        for (int i &#061; 0; i &lt; v; i&#043;&#043;)<br \/>\n            adj[i] &#061; new List&lt;int&gt;();<br \/>\n    }<\/p>\n<p>    public void AddEdge(int v, int w)<br \/>\n    {<br \/>\n        adj[v].Add(w);<br \/>\n    }<\/p>\n<p>    public IEnumerable&lt;int&gt; Adj(int v) &#061;&gt; adj[v];<br \/>\n}<\/p>\n<p>\u6d4b\u8bd5\u7528\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>[TestClass]<br \/>\npublic class TopologicalSortTests<br \/>\n{<br \/>\n    [TestMethod]<br \/>\n    public void TopologicalSort_ValidDAG_ReturnsCorrectOrder()<br \/>\n    {<br \/>\n        \/\/ Arrange<br \/>\n        var G &#061; new Digraph(4);<br \/>\n        G.AddEdge(0, 1);<br \/>\n        G.AddEdge(1, 2);<br \/>\n        G.AddEdge(2, 3);<br \/>\n        var sorter &#061; new TopologicalSort(G);<\/p>\n<p>        \/\/ Act<br \/>\n        var order &#061; sorter.Order().ToList();<\/p>\n<p>        \/\/ Assert<br \/>\n        Assert.IsTrue(order.SequenceEqual(new[] { 0, 1, 2, 3 }));<br \/>\n    }<br \/>\n}<\/p>\n<p>\u534a\u5bfc\u4f53\u4ea7\u7ebf\u793a\u4f8b\u5728\u534a\u5bfc\u4f53\u5236\u9020\u4e2d&#xff0c;\u62d3\u6251\u6392\u5e8f\u53ef\u7528\u4e8e\u4f18\u5316\u5de5\u5e8f\u8c03\u5ea6\u3002\u4f8b\u5982&#xff0c;\u6676\u5706\u5236\u9020\u53ef\u80fd\u6d89\u53ca\u4ee5\u4e0b\u5de5\u5e8f&#xff1a;<\/p>\n<li>\u6e05\u6d17&#xff08;Clean&#xff09;<\/li>\n<li>\u6c89\u79ef&#xff08;Deposition&#xff09;<\/li>\n<li>\u523b\u8680&#xff08;Etching&#xff09;<\/li>\n<li>\u6d4b\u8bd5&#xff08;Testing&#xff09;<\/li>\n<p>\u8fd9\u4e9b\u5de5\u5e8f\u6709\u4f9d\u8d56\u5173\u7cfb&#xff08;\u5982\u6e05\u6d17\u5fc5\u987b\u5728\u6c89\u79ef\u4e4b\u524d&#xff09;\u3002\u62d3\u6251\u6392\u5e8f\u53ef\u751f\u6210\u5408\u7406\u7684\u5de5\u5e8f\u987a\u5e8f\u3002csharp<\/p>\n<p>\u00a0<\/p>\n<p>public class ManufacturingProcess<br \/>\n{<br \/>\n    public int ProcessId { get; set; }<br \/>\n    public string ProcessName { get; set; }<\/p>\n<p>    public ManufacturingProcess(int processId, string processName)<br \/>\n    {<br \/>\n        ProcessId &#061; processId;<br \/>\n        ProcessName &#061; processName;<br \/>\n    }<br \/>\n}<\/p>\n<p>public class ProcessScheduler<br \/>\n{<br \/>\n    private Digraph graph;<br \/>\n    private ManufacturingProcess[] processes;<\/p>\n<p>    public ProcessScheduler(ManufacturingProcess[] processes)<br \/>\n    {<br \/>\n        this.processes &#061; processes;<br \/>\n        graph &#061; new Digraph(processes.Length);<br \/>\n    }<\/p>\n<p>    public void AddDependency(int fromProcessId, int toProcessId)<br \/>\n    {<br \/>\n        graph.AddEdge(fromProcessId, toProcessId);<br \/>\n    }<\/p>\n<p>    public List&lt;ManufacturingProcess&gt; GetSchedule()<br \/>\n    {<br \/>\n        var sorter &#061; new TopologicalSort(graph);<br \/>\n        return sorter.Order().Select(id &#061;&gt; processes[id]).ToList();<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void ProcessScheduler_GetSchedule_ReturnsCorrectOrder()<br \/>\n{<br \/>\n    var processes &#061; new[]<br \/>\n    {<br \/>\n        new ManufacturingProcess(0, &#034;Clean&#034;),<br \/>\n        new ManufacturingProcess(1, &#034;Deposition&#034;),<br \/>\n        new ManufacturingProcess(2, &#034;Etching&#034;),<br \/>\n        new ManufacturingProcess(3, &#034;Testing&#034;)<br \/>\n    };<\/p>\n<p>    var scheduler &#061; new ProcessScheduler(processes);<br \/>\n    scheduler.AddDependency(0, 1); \/\/ Clean -&gt; Deposition<br \/>\n    scheduler.AddDependency(1, 2); \/\/ Deposition -&gt; Etching<br \/>\n    scheduler.AddDependency(2, 3); \/\/ Etching -&gt; Testing<\/p>\n<p>    var schedule &#061; scheduler.GetSchedule();<\/p>\n<p>    Assert.IsTrue(schedule.Select(p &#061;&gt; p.ProcessName).SequenceEqual(new[] { &#034;Clean&#034;, &#034;Deposition&#034;, &#034;Etching&#034;, &#034;Testing&#034; }));<br \/>\n}<\/p>\n<hr \/>\n<p>\u56db\u3001\u534a\u5bfc\u4f53\u4ea7\u7ebf\u7efc\u5408\u793a\u4f8b\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7efc\u5408\u793a\u4f8b&#xff0c;\u7ed3\u5408\u7ea2\u9ed1\u6811\u3001\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868\u548c\u62d3\u6251\u6392\u5e8f&#xff0c;\u6a21\u62df\u8d34\u7247\u673a\u548c\u6d4b\u8bd5\u673a\u7684\u534f\u540c\u5de5\u4f5c\u573a\u666f\u3002\u573a\u666f\u63cf\u8ff0\u5728\u534a\u5bfc\u4f53\u8d34\u7247\u673a&#xff08;SMT&#xff09;\u548c\u6d4b\u8bd5\u673a\u534f\u540c\u7cfb\u7edf\u4e2d&#xff1a;<\/p>\n<li>\u7ea2\u9ed1\u6811&#xff1a;\u7ba1\u7406\u6676\u5706\u6d4b\u8bd5\u6570\u636e&#xff0c;\u6309\u6676\u5706ID\u5feb\u901f\u67e5\u8be2\u6d4b\u8bd5\u7ed3\u679c\u3002<\/li>\n<li>\u5e03\u8c37\u9e1f\u54c8\u5e0c\u8868&#xff1a;\u5b58\u50a8\u5143\u4ef6ID\u5230\u8d34\u7247\u5750\u6807\u7684\u6620\u5c04&#xff0c;\u5feb\u901f\u5b9a\u4f4d\u5143\u4ef6\u4f4d\u7f6e\u3002<\/li>\n<li>\u62d3\u6251\u6392\u5e8f&#xff1a;\u4f18\u5316\u8d34\u7247\u548c\u6d4b\u8bd5\u5de5\u5e8f\u7684\u8c03\u5ea6\u987a\u5e8f\u3002<\/li>\n<p>\u7efc\u5408\u4ee3\u7801\u793a\u4f8bcsharp<\/p>\n<p>\u00a0<\/p>\n<p>public class SmtAndTestSystem<br \/>\n{<br \/>\n    private RedBlackTree&lt;int, WaferTestData&gt; testDataStore;<br \/>\n    private CuckooHashTable&lt;int, ComponentPlacement&gt; componentLookup;<br \/>\n    private ProcessScheduler scheduler;<\/p>\n<p>    public SmtAndTestSystem(ManufacturingProcess[] processes, int hashTableCapacity)<br \/>\n    {<br \/>\n        testDataStore &#061; new RedBlackTree&lt;int, WaferTestData&gt;();<br \/>\n        componentLookup &#061; new CuckooHashTable&lt;int, ComponentPlacement&gt;(hashTableCapacity);<br \/>\n        scheduler &#061; new ProcessScheduler(processes);<br \/>\n    }<\/p>\n<p>    public void AddTestResult(int waferId, double defectRate, DateTime testTime)<br \/>\n    {<br \/>\n        testDataStore.Put(waferId, new WaferTestData(waferId, defectRate, testTime));<br \/>\n    }<\/p>\n<p>    public WaferTestData GetTestResult(int waferId)<br \/>\n    {<br \/>\n        return testDataStore.Get(waferId);<br \/>\n    }<\/p>\n<p>    public void AddComponent(int componentId, double x, double y)<br \/>\n    {<br \/>\n        componentLookup.Put(componentId, new ComponentPlacement(componentId, x, y));<br \/>\n    }<\/p>\n<p>    public ComponentPlacement GetComponent(int componentId)<br \/>\n    {<br \/>\n        return componentLookup.Get(componentId);<br \/>\n    }<\/p>\n<p>    public void AddProcessDependency(int fromProcessId, int toProcessId)<br \/>\n    {<br \/>\n        scheduler.AddDependency(fromProcessId, toProcessId);<br \/>\n    }<\/p>\n<p>    public List&lt;ManufacturingProcess&gt; GetProcessSchedule()<br \/>\n    {<br \/>\n        return scheduler.GetSchedule();<br \/>\n    }<br \/>\n}<\/p>\n<p>\/\/ \u6d4b\u8bd5\u7528\u4f8b<br \/>\n[TestMethod]<br \/>\npublic void SmtAndTestSystem_IntegratedTest_ReturnsCorrectResults()<br \/>\n{<br \/>\n    var processes &#061; new[]<br \/>\n    {<br \/>\n        new ManufacturingProcess(0, &#034;Clean&#034;),<br \/>\n        new ManufacturingProcess(1, &#034;SMT Placement&#034;),<br \/>\n        new ManufacturingProcess(2, &#034;Testing&#034;)<br \/>\n    };<\/p>\n<p>    var system &#061; new SmtAndTestSystem(processes, 10);<\/p>\n<p>    \/\/ \u6dfb\u52a0\u6d4b\u8bd5\u6570\u636e<br \/>\n    system.AddTestResult(1001, 0.05, DateTime.Now);<br \/>\n    system.AddTestResult(1002, 0.03, DateTime.Now);<\/p>\n<p>    \/\/ \u6dfb\u52a0\u5143\u4ef6\u4f4d\u7f6e<br \/>\n    system.AddComponent(2001, 10.5, 20.5);<br \/>\n    system.AddComponent(2002, 15.0, 25.0);<\/p>\n<p>    \/\/ \u6dfb\u52a0\u5de5\u5e8f\u4f9d\u8d56<br \/>\n    system.AddProcessDependency(0, 1); \/\/ Clean -&gt; SMT Placement<br \/>\n    system.AddProcessDependency(1, 2); \/\/ SMT Placement -&gt; Testing<\/p>\n<p>    \/\/ \u6d4b\u8bd5\u67e5\u8be2<br \/>\n    var testResult &#061; system.GetTestResult(1001);<br \/>\n    var component &#061; system.GetComponent(2001);<br \/>\n    var schedule &#061; system.GetProcessSchedule();<\/p>\n<p>    \/\/ \u9a8c\u8bc1<br \/>\n    Assert.AreEqual(0.05, testResult.DefectRate);<br \/>\n    Assert.AreEqual(10.5, component.X);<br \/>\n    Assert.IsTrue(schedule.Select(p &#061;&gt; p.ProcessName).SequenceEqual(new[] { &#034;Clean&#034;, &#034;SMT Placement&#034;, &#034;Testing&#034; }));<br \/>\n}<\/p>\n<hr 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