#include <bits/stdc++.h>
using namespace std;
int finde(int w, vector<int> &lid)
{
if (lid[w] != w)
{
lid[w] = finde(lid[w], lid);
}
return lid[w];
}
void unione(int w1, int w2, vector<int> &lid, vector<int> &sizes)
{
w1 = finde(w1, lid);
w2 = finde(w2, lid);
if (w1 == w2)
{
return;
}
if (sizes[w1] > sizes[w2])
{
swap(w1, w2);
}
lid[w1] = w2;
sizes[w2] += sizes[w1];
sizes[w1] = 0;
}
void set_to_lid(int w, int value, vector<int> &lid, vector<int> &sizes, const vector<int> &zwyc, const vector<vector<int>> &adj)
{
// cout << "w:" << w << flush;
unione(w, value, lid, sizes);
for (int syn : adj[w])
{
if (zwyc[syn] == zwyc[w] && lid[syn] == syn && syn != value)
{
set_to_lid(syn, value, lid, sizes, zwyc, adj);
}
}
}
int merge_grey(int w1, int w2, vector<map<int, int>> &grey, vector<int> &lid, vector<int> &sizes, queue<int> &removable, const vector<int> &zwyc, const vector<vector<int>> &wyborcy, vector<bool> &is_removed)
{
w1 = finde(w1, lid);
w2 = finde(w2, lid);
if (w1 == w2)
{
return w1;
}
if (grey[w1].size() > grey[w2].size())
{
swap(w1, w2);
}
for (auto p : grey[w1])
{
auto w2it = grey[w2].find(p.first);
if (w2it != grey[w2].end() && p.second != w2it->second)
{
unione(p.second, w2it->second, lid, sizes);
if (sizes[finde(w2it->second, lid)] == wyborcy[p.first].size() && !is_removed[p.first])
{
removable.push(p.first);
is_removed[p.first] = true;
}
}
else if(w2it == grey[w2].end()){
grey[w2][p.first] = p.second;
}
}
lid[w1] = w2;
sizes[w2] += sizes[w1];
sizes[w1] = 0;
return w2;
}
int add_to_grey(int w, vector<map<int, int>> &grey, int grey_id, vector<int> &lid, vector<int> &sizes, queue<int> &removable, const vector<vector<int>> &adj, const vector<int> &zwyc, const vector<vector<int>> &wyborcy, vector<bool> &is_removed)
{
//cout<<"w:"<<w<<"\n";
for (int syn : adj[w])
{
//cout<<"s:"<<syn<<"\n";
if (!grey[grey_id].contains(zwyc[syn]))
{
//cout<<"a\n";
if (zwyc[syn] == 0)
{
grey_id = merge_grey(syn, grey_id, grey, lid, sizes, removable, zwyc, wyborcy, is_removed);
}
else
{
grey[grey_id][zwyc[syn]] = finde(syn, lid);
}
}
else if (finde(grey[grey_id][zwyc[syn]], lid) != finde(syn, lid))
{
//cout<<"b\n";
unione(finde(grey[grey_id][zwyc[syn]], lid), finde(syn, lid), lid, sizes);
if (sizes[finde(syn, lid)] == wyborcy[zwyc[syn]].size() && !is_removed[zwyc[syn]])
{
removable.push(zwyc[syn]);
is_removed[zwyc[syn]] = true;
}
}
}
return grey_id;
}
int main()
{
// UNNNNNNNNNNNCCCCCCCCCCCCCMMMMMMMMMMMMENT!!!!!!!!1
ios_base::sync_with_stdio(0);
cin.tie(NULL);
int lzap;
cin >> lzap;
while (lzap--)
{
int lw, lkr, lpart;
cin >> lw >> lkr >> lpart;
vector<int> zwyc(lw + 1);
vector<vector<int>> wyborcy(lpart + 1);
for (int i = 1; i <= lw; i++)
{
cin >> zwyc[i];
wyborcy[zwyc[i]].push_back(i);
}
vector<vector<int>> adj(lw + 1, vector<int>());
for (int i = 0; i < lkr; i++)
{
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
vector<int> lid(lw + 1);
vector<int> sizes(lw + 1);
for (int i = 1; i <= lw; i++)
{
lid[i] = i;
sizes[i] = 1;
}
vector<map<int, int>> szare(lw + 1);
for (int i = 1; i <= lw; i++)
{
if (lid[i] == i)
{
set_to_lid(i, i, lid, sizes, zwyc, adj);
}
}
queue<int> removable;
vector<bool> is_removed(lpart + 1, 0);
for (int i = 1; i <= lw; i++)
{
if (sizes[i] == wyborcy[zwyc[i]].size())
{
removable.push(zwyc[i]);
is_removed[zwyc[i]] = true;
}
}
// for (int i = 1; i <= lw; i++)
// {
// cout << i << "->" << lid[i] << " ";
// }
// cout << "\n";
//cout << removable.size()<<"\n";
bool nie = 0;
int real_lpart = 0;
for(int i = 1; i <= lpart; i++){
if(wyborcy[i].size() > 0){
real_lpart++;
}
}
for (int removed = 0; removed < real_lpart; removed++)
{
if (removable.empty())
{
nie = 1;
break;
}
int party = removable.front();
removable.pop();
int lead = finde(wyborcy[party][0], lid);
for (int w : wyborcy[party])
{
lead = add_to_grey(w, szare, lead, lid, sizes, removable, adj, zwyc, wyborcy, is_removed);
}
for (int w : wyborcy[party])
{
zwyc[w] = 0;
}
// for (int i = 1; i <= lw; i++)
// {
// cout << i << "->" << lid[i] << " ";
// }
// cout<< "\n";
}
if (nie)
{
cout << "NIE\n";
}
else
{
cout << "TAK\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 | #include <bits/stdc++.h> using namespace std; int finde(int w, vector<int> &lid) { if (lid[w] != w) { lid[w] = finde(lid[w], lid); } return lid[w]; } void unione(int w1, int w2, vector<int> &lid, vector<int> &sizes) { w1 = finde(w1, lid); w2 = finde(w2, lid); if (w1 == w2) { return; } if (sizes[w1] > sizes[w2]) { swap(w1, w2); } lid[w1] = w2; sizes[w2] += sizes[w1]; sizes[w1] = 0; } void set_to_lid(int w, int value, vector<int> &lid, vector<int> &sizes, const vector<int> &zwyc, const vector<vector<int>> &adj) { // cout << "w:" << w << flush; unione(w, value, lid, sizes); for (int syn : adj[w]) { if (zwyc[syn] == zwyc[w] && lid[syn] == syn && syn != value) { set_to_lid(syn, value, lid, sizes, zwyc, adj); } } } int merge_grey(int w1, int w2, vector<map<int, int>> &grey, vector<int> &lid, vector<int> &sizes, queue<int> &removable, const vector<int> &zwyc, const vector<vector<int>> &wyborcy, vector<bool> &is_removed) { w1 = finde(w1, lid); w2 = finde(w2, lid); if (w1 == w2) { return w1; } if (grey[w1].size() > grey[w2].size()) { swap(w1, w2); } for (auto p : grey[w1]) { auto w2it = grey[w2].find(p.first); if (w2it != grey[w2].end() && p.second != w2it->second) { unione(p.second, w2it->second, lid, sizes); if (sizes[finde(w2it->second, lid)] == wyborcy[p.first].size() && !is_removed[p.first]) { removable.push(p.first); is_removed[p.first] = true; } } else if(w2it == grey[w2].end()){ grey[w2][p.first] = p.second; } } lid[w1] = w2; sizes[w2] += sizes[w1]; sizes[w1] = 0; return w2; } int add_to_grey(int w, vector<map<int, int>> &grey, int grey_id, vector<int> &lid, vector<int> &sizes, queue<int> &removable, const vector<vector<int>> &adj, const vector<int> &zwyc, const vector<vector<int>> &wyborcy, vector<bool> &is_removed) { //cout<<"w:"<<w<<"\n"; for (int syn : adj[w]) { //cout<<"s:"<<syn<<"\n"; if (!grey[grey_id].contains(zwyc[syn])) { //cout<<"a\n"; if (zwyc[syn] == 0) { grey_id = merge_grey(syn, grey_id, grey, lid, sizes, removable, zwyc, wyborcy, is_removed); } else { grey[grey_id][zwyc[syn]] = finde(syn, lid); } } else if (finde(grey[grey_id][zwyc[syn]], lid) != finde(syn, lid)) { //cout<<"b\n"; unione(finde(grey[grey_id][zwyc[syn]], lid), finde(syn, lid), lid, sizes); if (sizes[finde(syn, lid)] == wyborcy[zwyc[syn]].size() && !is_removed[zwyc[syn]]) { removable.push(zwyc[syn]); is_removed[zwyc[syn]] = true; } } } return grey_id; } int main() { // UNNNNNNNNNNNCCCCCCCCCCCCCMMMMMMMMMMMMENT!!!!!!!!1 ios_base::sync_with_stdio(0); cin.tie(NULL); int lzap; cin >> lzap; while (lzap--) { int lw, lkr, lpart; cin >> lw >> lkr >> lpart; vector<int> zwyc(lw + 1); vector<vector<int>> wyborcy(lpart + 1); for (int i = 1; i <= lw; i++) { cin >> zwyc[i]; wyborcy[zwyc[i]].push_back(i); } vector<vector<int>> adj(lw + 1, vector<int>()); for (int i = 0; i < lkr; i++) { int a, b; cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); } vector<int> lid(lw + 1); vector<int> sizes(lw + 1); for (int i = 1; i <= lw; i++) { lid[i] = i; sizes[i] = 1; } vector<map<int, int>> szare(lw + 1); for (int i = 1; i <= lw; i++) { if (lid[i] == i) { set_to_lid(i, i, lid, sizes, zwyc, adj); } } queue<int> removable; vector<bool> is_removed(lpart + 1, 0); for (int i = 1; i <= lw; i++) { if (sizes[i] == wyborcy[zwyc[i]].size()) { removable.push(zwyc[i]); is_removed[zwyc[i]] = true; } } // for (int i = 1; i <= lw; i++) // { // cout << i << "->" << lid[i] << " "; // } // cout << "\n"; //cout << removable.size()<<"\n"; bool nie = 0; int real_lpart = 0; for(int i = 1; i <= lpart; i++){ if(wyborcy[i].size() > 0){ real_lpart++; } } for (int removed = 0; removed < real_lpart; removed++) { if (removable.empty()) { nie = 1; break; } int party = removable.front(); removable.pop(); int lead = finde(wyborcy[party][0], lid); for (int w : wyborcy[party]) { lead = add_to_grey(w, szare, lead, lid, sizes, removable, adj, zwyc, wyborcy, is_removed); } for (int w : wyborcy[party]) { zwyc[w] = 0; } // for (int i = 1; i <= lw; i++) // { // cout << i << "->" << lid[i] << " "; // } // cout<< "\n"; } if (nie) { cout << "NIE\n"; } else { cout << "TAK\n"; } } } |
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