This is a problem of finding the critical path in a given directed graph. The critical path is represented by nodes and edges in the graph and is about solving for the longest path. The given graph consists of Output the length of the longest path.<\/p>\n To solve this problem, we can use the following method.<\/p>\n Represent the given directed graph in the form of an To find the longest path, we need to visit all the nodes in the graph once. We use After completing the topological sort, we calculate the longest path from the starting node to each node. At this time, we use an array to store the values of the longest path.<\/p>\n Below is an example of code implementation to find the critical path using C#:<\/p>\n The code above works as follows:<\/p>\n The problem of finding the critical path can be efficiently solved through topological sorting and longest path calculation. This method can be applied to various path optimization problems, making basic understanding and practice essential.<\/p>\n I hope this article helps in preparing for C# coding tests! If you have any additional questions or need further explanations, please leave a comment.<\/p>\nn<\/code> number of nodes and m<\/code> number of edges.<\/p>\nInput Format<\/h3>\n
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n<\/code> and m<\/code>.<\/li>\nm<\/code> lines each contain a pair of integers u<\/code> and v<\/code>. This represents an edge from node u<\/code> to node v<\/code>.<\/li>\n<\/ul>\nOutput Format<\/h3>\n
Example Input<\/h2>\n
\n 6 7\n 1 2\n 1 3\n 2 4\n 3 4\n 4 5\n 5 6\n 3 6\n <\/pre>\n
Example Output<\/h2>\n
4<\/pre>\n
Problem Solving Process<\/h2>\n
Step 1: Graph Representation<\/h3>\n
Adjacency List<\/code>. This allows us to easily check which nodes can be reached from each node.<\/p>\nStep 2: Topological Sorting<\/h3>\n
topological sorting<\/code> for this purpose. Through topological sorting, all nodes can be visited in order.<\/p>\nStep 3: Longest Path Calculation<\/h3>\n
Step 4: Code Implementation<\/h3>\n
\nusing System;\nusing System.Collections.Generic;\n\nclass Program {\n static void Main() {\n int n = 6; \/\/ Number of nodes\n int m = 7; \/\/ Number of edges\n ListCode Explanation<\/h3>\n
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List<\/code> data structure.<\/li>\nConclusion<\/h2>\n