#include <bits/stdc++.h> using namespace std; #define int long long #define ALL(x) (x).begin(), (x).end() #define REP(i, n) for(int i = 0; i < n; i++) #define VI vector<int> #define PII pair<int,int> #define SZ(x) (int)((x).size()) #define PB push_back #define MP make_pair #define st first #define nd second template<class C> void mini(C& _a4, C _b4) { _a4 = min(_a4, _b4); } template<class C> void maxi(C& _a4, C _b4) { _a4 = max(_a4, _b4); } template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; } template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) { while(*sdbg!=',')cerr<<*sdbg++;cerr<<'='<<h<<','; _dbg(sdbg+1, a...); } template<class T> ostream& operator<<(ostream& os, vector<T> V) { os << "["; for (auto& vv : V) os << vv << ","; os << "]"; return os; } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (__VA_ARGS__) #define cerr if(0)cout #endif enum OperationType{ ADD, REMOVE }; struct Operation{ OperationType type; int u, v, m; }; struct BfsInfo{ int node; int parent; }; struct Graph{ Graph(){} void read_graph(int n){ this->n = n; int m; cin >> m; edges.resize(n); REP(i, m){ int t1, t2; cin >> t1 >> t2; t1--; t2--; edges[t1].insert(t2); edges[t2].insert(t1); if(t1 > t2){ swap(t1, t2); } all_edges.insert({t1, t2}); } } int n; vector<set<int>> edges; set<PII> all_edges; vector<BfsInfo> bfs_order(int root){ vector<BfsInfo> order = {{root, -1}}; VI visited(n); visited[root] = 1; REP(i, SZ(order)){ int u = order[i].node; for(int v: edges[u]){ if(!visited[v]){ visited[v] = 1; order.push_back({v, u}); } } } return order; } bool edge_exists(int u, int v){ return edges[u].count(v); } optional<Operation> add_edge(int u, int v, int m){ debug("add", u, v, m, edge_exists(u, v)); if(edge_exists(u, v)){ return std::nullopt; } if(u > v){ swap(u, v); } assert(edge_exists(u, m) && edge_exists(v, m)); edges[u].insert(v); edges[v].insert(u); all_edges.insert({u, v}); return Operation{ADD, u, v, m}; } optional<Operation> remove_edge(int u, int v, int m){ debug("remove", u, v, m, edge_exists(u, v)); if(!edge_exists(u, v)){ return std::nullopt; } if(u > v){ swap(u, v); } assert(edge_exists(u, m) && edge_exists(v, m)); edges[u].erase(v); edges[v].erase(u); all_edges.erase({u, v}); return Operation{REMOVE, u, v, m}; } }; ostream & operator<<(ostream &os, const Operation &o){ if(o.type == ADD){ os << "+ " << o.u + 1 << " " << o.v + 1; }else{ os << "- " << o.u + 1 << " " << o.v + 1; } return os; } ostream & operator<<(ostream &os, const BfsInfo &b){ os << b.node << " " << b.parent; return os; } template<class C> ostream & operator<<(ostream &os, const set<C> &s){ os << "{"; for(auto a: s){ os << a << ", "; } os << "}"; return os; } ostream & operator<<(ostream &os, const Graph &g){ os << "Graph(" << g.n << ")\n"; REP(i, g.n){ os << i << ": " << g.edges[i] << "\n"; } return os; } int32_t main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; Graph g_current, g_target; g_current.read_graph(n); g_target.read_graph(n); // first create a central node; int root = 0; auto current_order = g_current.bfs_order(root); vector<Operation> all_operations; for(auto a: current_order){ if(a.node == root || a.parent == root){ continue; } auto r = g_current.add_edge(a.node, root, a.parent); if(r.has_value()){ all_operations.push_back(r.value()); } } // now we have a central node that is connected to all other nodes // first we add all edges that are in the target graph but not in the current graph auto v = g_target.all_edges; for(auto e: v){ if(!g_current.edge_exists(e.st, e.nd)){ auto r = g_current.add_edge(e.st, e.nd, root); if(r.has_value()){ all_operations.push_back(r.value()); } } } // now the edges are a superset of the target graph // we need to remove edges that are in the current graph but not in the target graph auto target_order = g_target.bfs_order(root); reverse(ALL(target_order)); for(auto a: target_order){ // debug(a); if(a.node == root){ continue; } // first we remove all edges except the one to the root auto edges = g_current.edges[a.node]; debug(a, edges); for(int v: edges){ if(v != root && !g_target.edge_exists(a.node, v)){ auto r = g_current.remove_edge(a.node, v, root); if(r.has_value()){ all_operations.push_back(r.value()); } } } // now if the edge to the root is not in the target graph, we remove it if(!g_target.edge_exists(a.node, root)){ auto r = g_current.remove_edge(a.node, root, a.parent); if(r.has_value()){ all_operations.push_back(r.value()); } } } // check if the graphs are equal assert(g_current.all_edges == g_target.all_edges); cout << SZ(all_operations) << "\n"; for(auto o: all_operations){ if(o.type == ADD){ cout << "+ " << o.u + 1 << " " << o.v + 1; }else{ cout << "- " << o.u + 1 << " " << o.v + 1; } cout << "\n"; } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 | #include <bits/stdc++.h> using namespace std; #define int long long #define ALL(x) (x).begin(), (x).end() #define REP(i, n) for(int i = 0; i < n; i++) #define VI vector<int> #define PII pair<int,int> #define SZ(x) (int)((x).size()) #define PB push_back #define MP make_pair #define st first #define nd second template<class C> void mini(C& _a4, C _b4) { _a4 = min(_a4, _b4); } template<class C> void maxi(C& _a4, C _b4) { _a4 = max(_a4, _b4); } template<class TH> void _dbg(const char *sdbg, TH h){ cerr<<sdbg<<'='<<h<<endl; } template<class TH, class... TA> void _dbg(const char *sdbg, TH h, TA... a) { while(*sdbg!=',')cerr<<*sdbg++;cerr<<'='<<h<<','; _dbg(sdbg+1, a...); } template<class T> ostream& operator<<(ostream& os, vector<T> V) { os << "["; for (auto& vv : V) os << vv << ","; os << "]"; return os; } #ifdef LOCAL #define debug(...) _dbg(#__VA_ARGS__, __VA_ARGS__) #else #define debug(...) (__VA_ARGS__) #define cerr if(0)cout #endif enum OperationType{ ADD, REMOVE }; struct Operation{ OperationType type; int u, v, m; }; struct BfsInfo{ int node; int parent; }; struct Graph{ Graph(){} void read_graph(int n){ this->n = n; int m; cin >> m; edges.resize(n); REP(i, m){ int t1, t2; cin >> t1 >> t2; t1--; t2--; edges[t1].insert(t2); edges[t2].insert(t1); if(t1 > t2){ swap(t1, t2); } all_edges.insert({t1, t2}); } } int n; vector<set<int>> edges; set<PII> all_edges; vector<BfsInfo> bfs_order(int root){ vector<BfsInfo> order = {{root, -1}}; VI visited(n); visited[root] = 1; REP(i, SZ(order)){ int u = order[i].node; for(int v: edges[u]){ if(!visited[v]){ visited[v] = 1; order.push_back({v, u}); } } } return order; } bool edge_exists(int u, int v){ return edges[u].count(v); } optional<Operation> add_edge(int u, int v, int m){ debug("add", u, v, m, edge_exists(u, v)); if(edge_exists(u, v)){ return std::nullopt; } if(u > v){ swap(u, v); } assert(edge_exists(u, m) && edge_exists(v, m)); edges[u].insert(v); edges[v].insert(u); all_edges.insert({u, v}); return Operation{ADD, u, v, m}; } optional<Operation> remove_edge(int u, int v, int m){ debug("remove", u, v, m, edge_exists(u, v)); if(!edge_exists(u, v)){ return std::nullopt; } if(u > v){ swap(u, v); } assert(edge_exists(u, m) && edge_exists(v, m)); edges[u].erase(v); edges[v].erase(u); all_edges.erase({u, v}); return Operation{REMOVE, u, v, m}; } }; ostream & operator<<(ostream &os, const Operation &o){ if(o.type == ADD){ os << "+ " << o.u + 1 << " " << o.v + 1; }else{ os << "- " << o.u + 1 << " " << o.v + 1; } return os; } ostream & operator<<(ostream &os, const BfsInfo &b){ os << b.node << " " << b.parent; return os; } template<class C> ostream & operator<<(ostream &os, const set<C> &s){ os << "{"; for(auto a: s){ os << a << ", "; } os << "}"; return os; } ostream & operator<<(ostream &os, const Graph &g){ os << "Graph(" << g.n << ")\n"; REP(i, g.n){ os << i << ": " << g.edges[i] << "\n"; } return os; } int32_t main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; Graph g_current, g_target; g_current.read_graph(n); g_target.read_graph(n); // first create a central node; int root = 0; auto current_order = g_current.bfs_order(root); vector<Operation> all_operations; for(auto a: current_order){ if(a.node == root || a.parent == root){ continue; } auto r = g_current.add_edge(a.node, root, a.parent); if(r.has_value()){ all_operations.push_back(r.value()); } } // now we have a central node that is connected to all other nodes // first we add all edges that are in the target graph but not in the current graph auto v = g_target.all_edges; for(auto e: v){ if(!g_current.edge_exists(e.st, e.nd)){ auto r = g_current.add_edge(e.st, e.nd, root); if(r.has_value()){ all_operations.push_back(r.value()); } } } // now the edges are a superset of the target graph // we need to remove edges that are in the current graph but not in the target graph auto target_order = g_target.bfs_order(root); reverse(ALL(target_order)); for(auto a: target_order){ // debug(a); if(a.node == root){ continue; } // first we remove all edges except the one to the root auto edges = g_current.edges[a.node]; debug(a, edges); for(int v: edges){ if(v != root && !g_target.edge_exists(a.node, v)){ auto r = g_current.remove_edge(a.node, v, root); if(r.has_value()){ all_operations.push_back(r.value()); } } } // now if the edge to the root is not in the target graph, we remove it if(!g_target.edge_exists(a.node, root)){ auto r = g_current.remove_edge(a.node, root, a.parent); if(r.has_value()){ all_operations.push_back(r.value()); } } } // check if the graphs are equal assert(g_current.all_edges == g_target.all_edges); cout << SZ(all_operations) << "\n"; for(auto o: all_operations){ if(o.type == ADD){ cout << "+ " << o.u + 1 << " " << o.v + 1; }else{ cout << "- " << o.u + 1 << " " << o.v + 1; } cout << "\n"; } } |