cpp-algo-cases/chapter_graph/graph_adjacency_matrix.cpp

/**
 * File: graph_adjacency_matrix.cpp
 * Created Time: 2023-02-09
 * Author: what-is-me (whatisme@outlook.jp)
 */

#include "../utils/common.hpp"

/* <20><><EFBFBD><EFBFBD><EFBFBD>ڽӾ<DABD><D3BE><EFBFBD>ʵ<EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD><EFBFBD>ͼ<EFBFBD><CDBC> */
class GraphAdjMat {
    vector<int> vertices;       // <20><><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD>Ԫ<EFBFBD>ش<EFBFBD><D8B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    vector<vector<int>> adjMat; // <20>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ<EFBFBD><D3A6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>

  public:
    /* <20><><EFBFBD>췽<EFBFBD><ECB7BD> */
    GraphAdjMat(const vector<int> &vertices, const vector<vector<int>> &edges) {
        // <20><><EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD>
        for (int val : vertices) {
            addVertex(val);
        }
        // <20><><EFBFBD>ӱ<EFBFBD>
        // <20><>ע<EFBFBD>⣬edges Ԫ<>ش<EFBFBD><D8B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ vertices Ԫ<><D4AA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
        for (const vector<int> &edge : edges) {
            addEdge(edge[0], edge[1]);
        }
    }

    /* <20><>ȡ<EFBFBD><C8A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
    int size() const {
        return vertices.size();
    }

    /* <20><><EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD> */
    void addVertex(int val) {
        int n = size();
        // <20>򶥵<EFBFBD><F2B6A5B5>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¶<EFBFBD><C2B6><EFBFBD><EFBFBD><EFBFBD>ֵ
        vertices.push_back(val);
        // <20><><EFBFBD>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>
        adjMat.emplace_back(vector<int>(n, 0));
        // <20><><EFBFBD>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>
        for (vector<int> &row : adjMat) {
            row.push_back(0);
        }
    }

    /* ɾ<><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
    void removeVertex(int index) {
        if (index >= size()) {
            throw out_of_range("<EFBFBD><EFBFBD><EFBFBD>㲻<EFBFBD><EFBFBD><EFBFBD><EFBFBD>");
        }
        // <20>ڶ<EFBFBD><DAB6><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD>Ƴ<EFBFBD><C6B3><EFBFBD><EFBFBD><EFBFBD> index <20>Ķ<EFBFBD><C4B6><EFBFBD>
        vertices.erase(vertices.begin() + index);
        // <20><><EFBFBD>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD>ɾ<EFBFBD><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD> index <20><><EFBFBD><EFBFBD>
        adjMat.erase(adjMat.begin() + index);
        // <20><><EFBFBD>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD>ɾ<EFBFBD><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD> index <20><><EFBFBD><EFBFBD>
        for (vector<int> &row : adjMat) {
            row.erase(row.begin() + index);
        }
    }

    /* <20><><EFBFBD>ӱ<EFBFBD> */
    // <20><><EFBFBD><EFBFBD> i, j <20><>Ӧ vertices Ԫ<><D4AA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    void addEdge(int i, int j) {
        // <20><><EFBFBD><EFBFBD>Խ<EFBFBD><D4BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȴ<EFBFBD><C8B4><EFBFBD>
        if (i < 0 || j < 0 || i >= size() || j >= size() || i == j) {
            throw out_of_range("<EFBFBD><EFBFBD><EFBFBD>㲻<EFBFBD><EFBFBD><EFBFBD><EFBFBD>");
        }
        // <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼ<EFBFBD>У<EFBFBD><D0A3>ڽӾ<DABD><D3BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Խ<EFBFBD><D4BD>߶Գƣ<D4B3><C6A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> (i, j) == (j, i)
        adjMat[i][j] = 1;
        adjMat[j][i] = 1;
    }

    /* ɾ<><C9BE><EFBFBD><EFBFBD> */
    // <20><><EFBFBD><EFBFBD> i, j <20><>Ӧ vertices Ԫ<><D4AA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    void removeEdge(int i, int j) {
        // <20><><EFBFBD><EFBFBD>Խ<EFBFBD><D4BD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ȴ<EFBFBD><C8B4><EFBFBD>
        if (i < 0 || j < 0 || i >= size() || j >= size() || i == j) {
            throw out_of_range("<EFBFBD><EFBFBD><EFBFBD>㲻<EFBFBD><EFBFBD><EFBFBD><EFBFBD>");
        }
        adjMat[i][j] = 0;
        adjMat[j][i] = 0;
    }

    /* <20><>ӡ<EFBFBD>ڽӾ<DABD><D3BE><EFBFBD> */
    void print() {
        cout << "<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD> = ";
        printVector(vertices);
        cout << "<EFBFBD>ڽӾ<EFBFBD><EFBFBD><EFBFBD> =" << endl;
        printVectorMatrix(adjMat);
    }
};

/* Driver Code */
int main() {
    /* <20><>ʼ<EFBFBD><CABC><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼ */
    // <20><>ע<EFBFBD>⣬edges Ԫ<>ش<EFBFBD><D8B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӧ vertices Ԫ<><D4AA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
    vector<int> vertices = {1, 3, 2, 5, 4};
    vector<vector<int>> edges = {{0, 1}, {0, 3}, {1, 2}, {2, 3}, {2, 4}, {3, 4}};
    GraphAdjMat graph(vertices, edges);
    cout << "\n<EFBFBD><EFBFBD>ʼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͼΪ" << endl;
    graph.print();

    /* <20><><EFBFBD>ӱ<EFBFBD> */
    // <20><><EFBFBD><EFBFBD> 1, 2 <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֱ<EFBFBD>Ϊ 0, 2
    graph.addEdge(0, 2);
    cout << "\n<EFBFBD><EFBFBD><EFBFBD>ӱ<EFBFBD> 1-2 <20><><EFBFBD><EFBFBD>ͼΪ" << endl;
    graph.print();

    /* ɾ<><C9BE><EFBFBD><EFBFBD> */
    // <20><><EFBFBD><EFBFBD> 1, 3 <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֱ<EFBFBD>Ϊ 0, 1
    graph.removeEdge(0, 1);
    cout << "\nɾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD> 1-3 <20><><EFBFBD><EFBFBD>ͼΪ" << endl;
    graph.print();

    /* <20><><EFBFBD>Ӷ<EFBFBD><D3B6><EFBFBD> */
    graph.addVertex(6);
    cout << "\n<EFBFBD><EFBFBD><EFBFBD>Ӷ<EFBFBD><EFBFBD><EFBFBD> 6 <20><><EFBFBD><EFBFBD>ͼΪ" << endl;
    graph.print();

    /* ɾ<><C9BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
    // <20><><EFBFBD><EFBFBD> 3 <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ 1
    graph.removeVertex(1);
    cout << "\nɾ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> 3 <20><><EFBFBD><EFBFBD>ͼΪ" << endl;
    graph.print();

    return 0;
}