#include <iostream> #include <string> #include <vector> #include <unordered_map> bool find_pair(std::string& colors, std::unordered_map<int, std::vector<int>>& edges, int id, int prev_id, char prev_color) { if (colors[id-1] == prev_color) return true; for (int to : edges[id]) { if (to != prev_id) { bool found = find_pair(colors, edges, to, id, colors[id-1]); if (found) return true; } } return false; } bool solve() { int n; std::string init, target; std::cin >> n >> init >> target; if (n == 1) { return init == target; } std::unordered_map<int, std::vector<int>> edges; for (int i = 0; i < n - 1; ++i) { int a, b; std::cin >> a >> b; edges[a].push_back(b); edges[b].push_back(a); } if (init == target) { return true; } std::vector<int> ends; for (int i = 1; i <= n; ++i) { if (edges[i].size() == 1) { ends.push_back(i); } } if (ends.size() == 2) { int current = ends[0]; int previous = -1; bool last_red = init[current - 1] != '0'; std::vector<bool> init_colors; while (current != ends[1]) { if (init[current - 1] == '0' && !last_red) { init_colors.push_back(true); last_red = true; } else if (init[current - 1] == '1' && last_red) { init_colors.push_back(false); last_red = false; } for (auto vertex : edges[current]) { if (vertex != previous) { previous = current; current = vertex; break; } } } if (init[current - 1] == '0' && !last_red) { init_colors.push_back(true); last_red = true; } else if (init[current - 1] == '1' && last_red) { init_colors.push_back(false); last_red = false; } current = ends[0]; previous = -1; last_red = target[current - 1] != '0'; std::vector<bool> target_colors; while (current != ends[1]) { if (target[current - 1] == '0' && !last_red) { target_colors.push_back(true); last_red = true; } else if (target[current - 1] == '1' && last_red) { target_colors.push_back(false); last_red = false; } for (auto vertex : edges[current]) { if (vertex != previous) { previous = current; current = vertex; break; } } } if (target[current - 1] == '0' && !last_red) { target_colors.push_back(true); last_red = true; } else if (target[current - 1] == '1' && last_red) { target_colors.push_back(false); last_red = false; } int count = init_colors.size(); if (init_colors[0] != target_colors[0]) { --count; } if (init_colors[init_colors.size() - 1] != target_colors[target_colors.size() - 1]) { --count; } return count >= static_cast<int>(target_colors.size()); } else { bool red = true, black = true; for (int i = 0; i < n; ++i) { if (target[i] == '0') red = false; else black = false; } for (int i = 0; i < n; ++i) { if (init[i] == '0') red = true; else black = true; } bool pair = find_pair(target, edges, ends[0], -1, '2'); return red && black && pair; } } int main() { int t; std::cin >> t; while (t--) { std::cout << (solve() ? "TAK" : "NIE") << std::endl; } return 0; }
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 | #include <iostream> #include <string> #include <vector> #include <unordered_map> bool find_pair(std::string& colors, std::unordered_map<int, std::vector<int>>& edges, int id, int prev_id, char prev_color) { if (colors[id-1] == prev_color) return true; for (int to : edges[id]) { if (to != prev_id) { bool found = find_pair(colors, edges, to, id, colors[id-1]); if (found) return true; } } return false; } bool solve() { int n; std::string init, target; std::cin >> n >> init >> target; if (n == 1) { return init == target; } std::unordered_map<int, std::vector<int>> edges; for (int i = 0; i < n - 1; ++i) { int a, b; std::cin >> a >> b; edges[a].push_back(b); edges[b].push_back(a); } if (init == target) { return true; } std::vector<int> ends; for (int i = 1; i <= n; ++i) { if (edges[i].size() == 1) { ends.push_back(i); } } if (ends.size() == 2) { int current = ends[0]; int previous = -1; bool last_red = init[current - 1] != '0'; std::vector<bool> init_colors; while (current != ends[1]) { if (init[current - 1] == '0' && !last_red) { init_colors.push_back(true); last_red = true; } else if (init[current - 1] == '1' && last_red) { init_colors.push_back(false); last_red = false; } for (auto vertex : edges[current]) { if (vertex != previous) { previous = current; current = vertex; break; } } } if (init[current - 1] == '0' && !last_red) { init_colors.push_back(true); last_red = true; } else if (init[current - 1] == '1' && last_red) { init_colors.push_back(false); last_red = false; } current = ends[0]; previous = -1; last_red = target[current - 1] != '0'; std::vector<bool> target_colors; while (current != ends[1]) { if (target[current - 1] == '0' && !last_red) { target_colors.push_back(true); last_red = true; } else if (target[current - 1] == '1' && last_red) { target_colors.push_back(false); last_red = false; } for (auto vertex : edges[current]) { if (vertex != previous) { previous = current; current = vertex; break; } } } if (target[current - 1] == '0' && !last_red) { target_colors.push_back(true); last_red = true; } else if (target[current - 1] == '1' && last_red) { target_colors.push_back(false); last_red = false; } int count = init_colors.size(); if (init_colors[0] != target_colors[0]) { --count; } if (init_colors[init_colors.size() - 1] != target_colors[target_colors.size() - 1]) { --count; } return count >= static_cast<int>(target_colors.size()); } else { bool red = true, black = true; for (int i = 0; i < n; ++i) { if (target[i] == '0') red = false; else black = false; } for (int i = 0; i < n; ++i) { if (init[i] == '0') red = true; else black = true; } bool pair = find_pair(target, edges, ends[0], -1, '2'); return red && black && pair; } } int main() { int t; std::cin >> t; while (t--) { std::cout << (solve() ? "TAK" : "NIE") << std::endl; } return 0; } |