#include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
#include<unordered_set>
using namespace std;
// class FindUnion {
// vector<int> parent;
// vector<int> size;
// public:
// FindUnion(int n) {
// parent.resize(n);
// size.resize(n);
// for(int i = 0; i < n; i++) {
// make_set(i);
// }
// }
// void make_set(int v) {
// parent[v] = v;
// size[v] = 1;
// }
// void union_sets(int a, int b) {
// a = find_set(a);
// b = find_set(b);
// if (a != b) {
// if (size[a] < size[b])
// swap(a, b);
// parent[b] = a;
// size[a] += size[b];
// }
// }
// int find_set(int v) {
// if (v == parent[v])
// return v;
// return parent[v] = find_set(parent[v]);
// }
// bool is_same_set(int a, int b) {
// return find_set(a) == find_set(b);
// }
// };
void dfs(int node, const vector<vector<int>>& graph, const vector<int>& node_color, vector<bool>& visited) {
visited[node] = true;
for(int u : graph[node]) {
if(!visited[u] && node_color[u] == node_color[node]) {
dfs(u, graph, node_color, visited);
}
}
}
void dfs2(int node, int color, const vector<vector<int>>& graph, const vector<int>& node_color, vector<bool>& visited) {
visited[node] = true;
for(int u : graph[node]) {
if(!visited[u] && (node_color[u] == 0 || node_color[u] == color)) {
dfs2(u, color, graph, node_color, visited);
}
}
}
bool cmp(int a, int b) {
return a > b;
}
void solve() {
int n,m,k;
cin >> n>>m>>k;
//cout << "n: " << n << " m: " << m << " k: " << k << endl;
vector<int> node_color(n+1);
vector<vector<int>> color_to_node(n+1);
for(int i = 1; i <= n; i++) {
cin >> node_color[i];
color_to_node[node_color[i]].push_back(i);
}
vector<vector<int>> graph(n+1);
for(int i = 0; i < m; i++) {
int a,b;
cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
}
vector<int> color_components_number(k+1, 0);
vector<bool> visited(n+1, false);
//FindUnion components(n);
for(int i = 1; i <= n; i++) {
if(!visited[i]) {
color_components_number[node_color[i]]++;
dfs(i, graph, node_color, visited);
}
}
// for(int i = 1; i <= k; i++) {
// cout << "color: " << i << " components: " << color_components_number[i] << endl;
// }
queue<int> top_colors;
unordered_set<int> remaining_colors;
for(int i = 1; i <= k; i++) {
if(color_components_number[i] == 0) {
continue;
}
remaining_colors.insert(i);
if(color_components_number[i] == 1) {
top_colors.push(i);
}
}
while(!top_colors.empty()) {
int color = top_colors.front();
//cout << "color: " << color << endl;
top_colors.pop();
color_components_number[color] = 0;
remaining_colors.erase(color);
for(int node : color_to_node[color]) {
node_color[node] = 0;
}
if(top_colors.empty() && !remaining_colors.empty()) {
for(auto color : remaining_colors) {
//cout << "color2: " << color << endl;
int component_number = 0;
vector<bool> visited(n+1, false);
for(auto node : color_to_node[color]) {
if(!visited[node]) {
component_number++;
dfs2(node, color, graph, node_color, visited);
}
}
//cout << "component_number: " << component_number << endl;
if(component_number == 1) {
top_colors.push(color);
break;
}
}
}
}
cout << (remaining_colors.empty() ? "TAK" : "NIE") << endl;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t;
cin >> t;
while(t--) {
solve();
}
}
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 | #include<iostream> #include<vector> #include<queue> #include<algorithm> #include<unordered_set> using namespace std; // class FindUnion { // vector<int> parent; // vector<int> size; // public: // FindUnion(int n) { // parent.resize(n); // size.resize(n); // for(int i = 0; i < n; i++) { // make_set(i); // } // } // void make_set(int v) { // parent[v] = v; // size[v] = 1; // } // void union_sets(int a, int b) { // a = find_set(a); // b = find_set(b); // if (a != b) { // if (size[a] < size[b]) // swap(a, b); // parent[b] = a; // size[a] += size[b]; // } // } // int find_set(int v) { // if (v == parent[v]) // return v; // return parent[v] = find_set(parent[v]); // } // bool is_same_set(int a, int b) { // return find_set(a) == find_set(b); // } // }; void dfs(int node, const vector<vector<int>>& graph, const vector<int>& node_color, vector<bool>& visited) { visited[node] = true; for(int u : graph[node]) { if(!visited[u] && node_color[u] == node_color[node]) { dfs(u, graph, node_color, visited); } } } void dfs2(int node, int color, const vector<vector<int>>& graph, const vector<int>& node_color, vector<bool>& visited) { visited[node] = true; for(int u : graph[node]) { if(!visited[u] && (node_color[u] == 0 || node_color[u] == color)) { dfs2(u, color, graph, node_color, visited); } } } bool cmp(int a, int b) { return a > b; } void solve() { int n,m,k; cin >> n>>m>>k; //cout << "n: " << n << " m: " << m << " k: " << k << endl; vector<int> node_color(n+1); vector<vector<int>> color_to_node(n+1); for(int i = 1; i <= n; i++) { cin >> node_color[i]; color_to_node[node_color[i]].push_back(i); } vector<vector<int>> graph(n+1); for(int i = 0; i < m; i++) { int a,b; cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); } vector<int> color_components_number(k+1, 0); vector<bool> visited(n+1, false); //FindUnion components(n); for(int i = 1; i <= n; i++) { if(!visited[i]) { color_components_number[node_color[i]]++; dfs(i, graph, node_color, visited); } } // for(int i = 1; i <= k; i++) { // cout << "color: " << i << " components: " << color_components_number[i] << endl; // } queue<int> top_colors; unordered_set<int> remaining_colors; for(int i = 1; i <= k; i++) { if(color_components_number[i] == 0) { continue; } remaining_colors.insert(i); if(color_components_number[i] == 1) { top_colors.push(i); } } while(!top_colors.empty()) { int color = top_colors.front(); //cout << "color: " << color << endl; top_colors.pop(); color_components_number[color] = 0; remaining_colors.erase(color); for(int node : color_to_node[color]) { node_color[node] = 0; } if(top_colors.empty() && !remaining_colors.empty()) { for(auto color : remaining_colors) { //cout << "color2: " << color << endl; int component_number = 0; vector<bool> visited(n+1, false); for(auto node : color_to_node[color]) { if(!visited[node]) { component_number++; dfs2(node, color, graph, node_color, visited); } } //cout << "component_number: " << component_number << endl; if(component_number == 1) { top_colors.push(color); break; } } } } cout << (remaining_colors.empty() ? "TAK" : "NIE") << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while(t--) { solve(); } } |
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