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| 1 | +package main |
| 2 | + |
| 3 | +import ( |
| 4 | + "bufio" |
| 5 | + "os" |
| 6 | + "sort" |
| 7 | + "strings" |
| 8 | +) |
| 9 | + |
| 10 | +type Set map[string]struct{} |
| 11 | + |
| 12 | +func (s *Set) ToKey(others ...string) string { |
| 13 | + list := make([]string, 0, len(*s)+len(others)) |
| 14 | + for k := range *s { |
| 15 | + list = append(list, k) |
| 16 | + } |
| 17 | + for _, other := range others { |
| 18 | + list = append(list, other) |
| 19 | + } |
| 20 | + sort.Strings(list) |
| 21 | + return strings.Join(list, ",") |
| 22 | +} |
| 23 | + |
| 24 | +func (s *Set) FromKey(key string) { |
| 25 | + m := Set{} |
| 26 | + for _, s := range strings.Split(key, ",") { |
| 27 | + m[s] = struct{}{} |
| 28 | + } |
| 29 | + *s = m |
| 30 | +} |
| 31 | + |
| 32 | +type Graph map[string]Set |
| 33 | + |
| 34 | +func (g Graph) AddEdge(from, to string) { |
| 35 | + if _, ok := g[from]; !ok { |
| 36 | + g[from] = Set{} |
| 37 | + } |
| 38 | + g[from][to] = struct{}{} |
| 39 | +} |
| 40 | + |
| 41 | +func (g Graph) Connected(from, to string) bool { |
| 42 | + if f, ok := g[from]; ok { |
| 43 | + _, ok := f[to] |
| 44 | + return ok |
| 45 | + } |
| 46 | + return false |
| 47 | +} |
| 48 | + |
| 49 | +func (g Graph) Keys() Set { |
| 50 | + keys := Set{} |
| 51 | + for n := range g { |
| 52 | + keys[n] = struct{}{} |
| 53 | + } |
| 54 | + return keys |
| 55 | +} |
| 56 | + |
| 57 | +func parseInput() Graph { |
| 58 | + graph := Graph{} |
| 59 | + scanner := bufio.NewScanner(os.Stdin) |
| 60 | + for scanner.Scan() { |
| 61 | + ff := strings.Split(scanner.Text(), "-") |
| 62 | + graph.AddEdge(ff[0], ff[1]) |
| 63 | + graph.AddEdge(ff[1], ff[0]) |
| 64 | + } |
| 65 | + return graph |
| 66 | +} |
| 67 | + |
| 68 | +func (g Graph) Expand(clusters Set) Set { |
| 69 | + res := Set{} |
| 70 | + for clusterStr := range clusters { |
| 71 | + cluster := Set{} |
| 72 | + cluster.FromKey(clusterStr) |
| 73 | + for node := range g[clusterStr[:2]] { |
| 74 | + if _, ok := cluster[node]; ok { |
| 75 | + continue |
| 76 | + } |
| 77 | + if !g.connectedToAll(node, cluster) { |
| 78 | + continue |
| 79 | + } |
| 80 | + res[cluster.ToKey(node)] = struct{}{} |
| 81 | + } |
| 82 | + } |
| 83 | + return res |
| 84 | +} |
| 85 | + |
| 86 | +func (g Graph) connectedToAll(node string, cluster Set) bool { |
| 87 | + for old := range cluster { |
| 88 | + if !g.Connected(old, node) { |
| 89 | + return false |
| 90 | + } |
| 91 | + } |
| 92 | + return true |
| 93 | +} |
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