#include<bits/stdc++.h>
using namespace std;
#define int long long
typedef long long ll;
typedef double db;
typedef vector<int> vi;
typedef pair<int, int> pii;
#define all(x) (x).begin(), (x).end()
int id[100007];
int rep[100007];
int siz[100007];
int lspoj[100007];
vector<int> ktotu;
vector<int> edges[100007];
vector<int> tegokoloru[100007];
vector<int> kabum;
vector<int> moje[100007];
map<pii,char> has;
map<pii,int> mp;
int bumd[100007];
int fin(int v){
if(rep[v]==v) return v;
rep[v]=fin(rep[v]);
return rep[v];
}
void uni(int a, int b){
// cout << "uni " << a << ' ' << b << '|' << fin(a) << ' ' << fin(b) << '\n';
a=fin(a);
b=fin(b);
if(a==b) return;
// assert(id[a]==id[b]);
if(siz[a]>siz[b]) swap(a,b);
for(auto v:moje[a]){
// cout << a << " posiada " << v << '\n';
if(bumd[v]==1) continue;
if(has[{b, v}]==0){
// cout << "cos sie nie zgadza\n";
has[{b, v}]=1;
moje[b].push_back(v);
mp[{b, v}]=mp[{a, v}];
}
else{
uni(mp[{a,v}], mp[{b,v}]);
}
}
rep[a]=b;
siz[b]+=siz[a];
lspoj[id[a]]--;
if(lspoj[id[a]]==1){
kabum.push_back(id[a]);
bumd[id[a]]=1;
}
}
void solve() {
int n, m, k, i, j;
cin >> n >> m >> k;
for(i=0; i<=max(n,k); i++){
lspoj[i]=0;
edges[i].clear();
tegokoloru[i].clear();
moje[i].clear();
bumd[i]=0;
}
ktotu.clear();
kabum.clear();
has.clear();
mp.clear();
for(i=1; i<=n; i++){
cin >> id[i];
lspoj[id[i]]++;
tegokoloru[id[i]].push_back(i);
rep[i]=i;
siz[i]=1;
}
lspoj[0]=1000000000;
for(i=0; i<m; i++){
int u,v;
cin >> u >> v;
edges[u].push_back(v);
edges[v].push_back(u);
if(id[u]==id[v]) uni(u, v);
}
for(i=1; i<=k; i++){
if(bumd[i]==0 && lspoj[i]<=1){
kabum.push_back(i);
bumd[i]=1;
}
}
while(!kabum.empty()){
int bu=kabum.back();
kabum.pop_back();
// cout << "BUM " << bu << '\n';
for(auto v:tegokoloru[bu]){
for(auto u:edges[v]){
if(id[u]==0 || id[u]==id[v]) continue;
if(has[{fin(v), id[u]}]==0){
// cout << fin(v) << " dopisuje " << id[u] << " za pomoca " << v << ' ' << u << '\n';
has[{fin(v), id[u]}]=1;
moje[fin(v)].push_back(id[u]);
mp[{fin(v), id[u]}]=fin(u);
}
else if(mp[{fin(v), id[u]}]!=fin(u)){
uni(fin(u), mp[{fin(v), id[u]}]);
mp[{fin(v), id[u]}]=fin(u);
}
}
}
for(auto v:tegokoloru[bu]){
for(auto u:edges[v]){
if(id[u]==0){
uni(v, u);
}
}
}
for(auto v:tegokoloru[bu]){
id[v]=0;
}
}
for(i=1; i<=k; i++){
if(!bumd[i]){
cout << "NIE\n";
return;
}
}
cout << "TAK\n";
return;
}
signed main () {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
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 | #include<bits/stdc++.h> using namespace std; #define int long long typedef long long ll; typedef double db; typedef vector<int> vi; typedef pair<int, int> pii; #define all(x) (x).begin(), (x).end() int id[100007]; int rep[100007]; int siz[100007]; int lspoj[100007]; vector<int> ktotu; vector<int> edges[100007]; vector<int> tegokoloru[100007]; vector<int> kabum; vector<int> moje[100007]; map<pii,char> has; map<pii,int> mp; int bumd[100007]; int fin(int v){ if(rep[v]==v) return v; rep[v]=fin(rep[v]); return rep[v]; } void uni(int a, int b){ // cout << "uni " << a << ' ' << b << '|' << fin(a) << ' ' << fin(b) << '\n'; a=fin(a); b=fin(b); if(a==b) return; // assert(id[a]==id[b]); if(siz[a]>siz[b]) swap(a,b); for(auto v:moje[a]){ // cout << a << " posiada " << v << '\n'; if(bumd[v]==1) continue; if(has[{b, v}]==0){ // cout << "cos sie nie zgadza\n"; has[{b, v}]=1; moje[b].push_back(v); mp[{b, v}]=mp[{a, v}]; } else{ uni(mp[{a,v}], mp[{b,v}]); } } rep[a]=b; siz[b]+=siz[a]; lspoj[id[a]]--; if(lspoj[id[a]]==1){ kabum.push_back(id[a]); bumd[id[a]]=1; } } void solve() { int n, m, k, i, j; cin >> n >> m >> k; for(i=0; i<=max(n,k); i++){ lspoj[i]=0; edges[i].clear(); tegokoloru[i].clear(); moje[i].clear(); bumd[i]=0; } ktotu.clear(); kabum.clear(); has.clear(); mp.clear(); for(i=1; i<=n; i++){ cin >> id[i]; lspoj[id[i]]++; tegokoloru[id[i]].push_back(i); rep[i]=i; siz[i]=1; } lspoj[0]=1000000000; for(i=0; i<m; i++){ int u,v; cin >> u >> v; edges[u].push_back(v); edges[v].push_back(u); if(id[u]==id[v]) uni(u, v); } for(i=1; i<=k; i++){ if(bumd[i]==0 && lspoj[i]<=1){ kabum.push_back(i); bumd[i]=1; } } while(!kabum.empty()){ int bu=kabum.back(); kabum.pop_back(); // cout << "BUM " << bu << '\n'; for(auto v:tegokoloru[bu]){ for(auto u:edges[v]){ if(id[u]==0 || id[u]==id[v]) continue; if(has[{fin(v), id[u]}]==0){ // cout << fin(v) << " dopisuje " << id[u] << " za pomoca " << v << ' ' << u << '\n'; has[{fin(v), id[u]}]=1; moje[fin(v)].push_back(id[u]); mp[{fin(v), id[u]}]=fin(u); } else if(mp[{fin(v), id[u]}]!=fin(u)){ uni(fin(u), mp[{fin(v), id[u]}]); mp[{fin(v), id[u]}]=fin(u); } } } for(auto v:tegokoloru[bu]){ for(auto u:edges[v]){ if(id[u]==0){ uni(v, u); } } } for(auto v:tegokoloru[bu]){ id[v]=0; } } for(i=1; i<=k; i++){ if(!bumd[i]){ cout << "NIE\n"; return; } } cout << "TAK\n"; return; } signed main () { ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; cin >> t; while(t-- ) solve(); } |
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