#include "bits/stdc++.h"
#include "boost/bimap.hpp"

using namespace std;

namespace lab2{
    class Graph{
    public:
        Graph(int size){
            for(int i = 0; i < size; ++i){
                matrix.push_back(vector<int>(size,0));
                ItN[i] = (char)(97 + i);
                NtI[char(97 + i)] = i;
            }

        }
        auto First(char v){
            if(!matrix[NtI[v]].empty()){
                if(v >= matrix.size())
                    throw runtime_error("going beyond the boundaries of the matrix");
                else{
                    for(int i = 0; i < matrix[NtI[v]].size(); ++i){
                        if(matrix[NtI[v]][i] != 0)
                            return ItN[i];
                    }
                    return ' ';
                }
            } else
                throw runtime_error("height does not exist");
        }

        auto Next(char v, char i){
            if(!matrix[NtI[v]].empty()){
                if(NtI[i] == matrix[NtI[v]].size() - 1){
                    return ' ';
                }
                for(int x = NtI[i] + 1; i < matrix[NtI[v]].size(); ++i){
                    if(matrix[NtI[v]][x] != 0)
                        return ItN[x];
                }
            }
            else
                throw runtime_error("height does not exist");
        }

        auto Vertex(char v, int i){
            if(!matrix[NtI[v]].empty()){
                if(i == 0)
                    return First(v);
                char c = First(v);
                while(i != 0){
                    c = Next(v, c);
                    --i;
                }
                return c;
            }
                else throw runtime_error("height does not exist");

        }

        auto Add_V(char v){
            NtI[v] = matrix.size();
            ItN[matrix.size()] = v;
            matrix.push_back(vector<int>(matrix[0].size(), 0));
            for(auto& x : matrix){
                if(!x.empty())
                    x.push_back(0);
            }
        }

        auto Add_E(char v, char w, int c){
            matrix[NtI[v]][NtI[w]] = c;
        }

        auto Del_V(char v){
            matrix[NtI[v]].clear();
            for(int i = 0; i < matrix.size(); ++i){
                if(!matrix[i].empty()){
                    matrix[i][NtI[v]] = 0;
                }
            }
            ItN.erase(NtI[v]);
            NtI.erase(v);

        }

        auto Del_E(char v, char w){
            matrix[NtI[v]][NtI[w]] = 0;
        }

        auto Edit_V(char v, char new_v){
            NtI[new_v] = NtI[v];
            NtI.erase(v);
            ItN[NtI[new_v]] = new_v;
        }

        auto Edit_E(char v, char w, int c){
            matrix[NtI[v]][NtI[w]] = c;
        }

        auto print(){
            cout << "  ";
            for(const auto x : NtI){
                cout << x.first << ' ';
            }
            cout << endl;
            for(int i = 0; i < matrix.size(); ++i){
                if(!matrix[i].empty()) {
                    cout << ItN[i] << ' ';
                    for (int j = 0; j < matrix[i].size(); ++j) {
                        if(ItN.contains(j))
                            cout << matrix[i][j] << ' ';
                    }
                    cout << endl;
                }

            }
        }

    private:
        vector<vector<int>> matrix;
        map<char, int> NtI;
        map<int, char> ItN;
    };
}

#ifndef ALGORITHMS_LAB2_H
#define ALGORITHMS_LAB2_H

#endif //ALGORITHMS_LAB2_H