#include <algorithm>
#include <bits/stdc++.h>
#define nl '\n'
using namespace std;
int find(int v, vector<int>& repr){
return repr[v] == v ? v : repr[v] = find(repr[v], repr);
}
int Union(int a, int b, vector<int>& repr){
a = find(a, repr);
b = find(b, repr);
if(a != b){
repr[b] = a;
return 1;
}
return 0;
}
void solve(){
int n, m, k;
cin>>n>>m>>k;
vector<int> components(k+1, 0);
vector<int> color(n+1, 0);
vector<int> repr(n+1, 0);
vector<unordered_map<int, int>> color_repr(n+1);
for(int i=1; i<=n; i++){ repr[i] = i; }
vector<vector<int>> G(n+1);
vector<vector<int>> nodes(k+1);
vector<int> wrzuconed(k+1, 0);
for(int i=1; i<=n; i++){
cin>>color[i];
components[color[i]]++;
nodes[color[i]].push_back(i);
}
queue<int> q;
while(m--){
int a, b;
cin>>a>>b;
G[a].push_back(b);
G[b].push_back(a);
if(color[a] == color[b]){
components[color[a]] -= Union(a, b, repr);
}
}
for(int i=1; i<=k; i++){
if(components[i] == 1){
q.push(i);
wrzuconed[i] = 1;
}
}
vector<int> seen(k+1, 0);
int map_access_count = 0;
int phase1_repr_generated = 0;
while(q.size()){
int C = q.front();
//cerr<<C<<nl;
assert(!seen[C]);
seen[C] = 1;
q.pop();
if(nodes[C].empty()) continue;
int leader = find(nodes[C][0], repr);
color[leader] = 0;
set<int> zeros;
for(auto v: nodes[C]){
for(auto i: G[v]){
i = find(i, repr);
int c = color[i];
if(!c){
zeros.insert(i);
}else if(color_repr[leader].count(c)){
components[c] -= Union(color_repr[leader][c], i, repr);
if(components[c] == 1 && !wrzuconed[c]){ q.push(c); wrzuconed[c] = 1;}
}else{
color_repr[leader][c] = i;
phase1_repr_generated++;
}
}
}
for(auto v: zeros){
leader = find(leader, repr);
v = find(v, repr);
if(color_repr[v].size() > color_repr[leader].size()){
swap(v, leader);
}
for(auto [c, r]: color_repr[v]){
map_access_count++;
//cerr<<c<<' '<<find(r, repr)<<nl;
if(color_repr[leader].count(c)){
components[c] -= Union(r, color_repr[leader][c], repr);
if(components[c] == 1 && !wrzuconed[c]){ q.push(c); wrzuconed[c] = 1;}
}else{
color_repr[leader][c] = r;
}
}
repr[v] = leader;
}
}
//cerr<<phase1_repr_generated<<' '<<map_access_count<<nl;
for(int i=1; i<=n; i++){
if(color[find(i, repr)]){
cout<<"NIE"<<nl;
return;
}
}
cout<<"TAK"<<nl;
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
int t;
cin>>t;
while(t--){
solve();
}
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 | #include <algorithm> #include <bits/stdc++.h> #define nl '\n' using namespace std; int find(int v, vector<int>& repr){ return repr[v] == v ? v : repr[v] = find(repr[v], repr); } int Union(int a, int b, vector<int>& repr){ a = find(a, repr); b = find(b, repr); if(a != b){ repr[b] = a; return 1; } return 0; } void solve(){ int n, m, k; cin>>n>>m>>k; vector<int> components(k+1, 0); vector<int> color(n+1, 0); vector<int> repr(n+1, 0); vector<unordered_map<int, int>> color_repr(n+1); for(int i=1; i<=n; i++){ repr[i] = i; } vector<vector<int>> G(n+1); vector<vector<int>> nodes(k+1); vector<int> wrzuconed(k+1, 0); for(int i=1; i<=n; i++){ cin>>color[i]; components[color[i]]++; nodes[color[i]].push_back(i); } queue<int> q; while(m--){ int a, b; cin>>a>>b; G[a].push_back(b); G[b].push_back(a); if(color[a] == color[b]){ components[color[a]] -= Union(a, b, repr); } } for(int i=1; i<=k; i++){ if(components[i] == 1){ q.push(i); wrzuconed[i] = 1; } } vector<int> seen(k+1, 0); int map_access_count = 0; int phase1_repr_generated = 0; while(q.size()){ int C = q.front(); //cerr<<C<<nl; assert(!seen[C]); seen[C] = 1; q.pop(); if(nodes[C].empty()) continue; int leader = find(nodes[C][0], repr); color[leader] = 0; set<int> zeros; for(auto v: nodes[C]){ for(auto i: G[v]){ i = find(i, repr); int c = color[i]; if(!c){ zeros.insert(i); }else if(color_repr[leader].count(c)){ components[c] -= Union(color_repr[leader][c], i, repr); if(components[c] == 1 && !wrzuconed[c]){ q.push(c); wrzuconed[c] = 1;} }else{ color_repr[leader][c] = i; phase1_repr_generated++; } } } for(auto v: zeros){ leader = find(leader, repr); v = find(v, repr); if(color_repr[v].size() > color_repr[leader].size()){ swap(v, leader); } for(auto [c, r]: color_repr[v]){ map_access_count++; //cerr<<c<<' '<<find(r, repr)<<nl; if(color_repr[leader].count(c)){ components[c] -= Union(r, color_repr[leader][c], repr); if(components[c] == 1 && !wrzuconed[c]){ q.push(c); wrzuconed[c] = 1;} }else{ color_repr[leader][c] = r; } } repr[v] = leader; } } //cerr<<phase1_repr_generated<<' '<<map_access_count<<nl; for(int i=1; i<=n; i++){ if(color[find(i, repr)]){ cout<<"NIE"<<nl; return; } } cout<<"TAK"<<nl; } int main() { cin.tie(0)->sync_with_stdio(0); int t; cin>>t; while(t--){ solve(); } return 0; } |
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