#include<bits/stdc++.h>
#define ll long long
#define pb push_back
#define pii pair<int,int>
using namespace std;
const int N = 1e5+1;
int rep[N],rep2[N],skladowe[N],col[N];
vector<int>G[N],lista[N],found[N];
bitset<N>odw;
queue<int>q;
unordered_map<int,int>reps[N];
void wyczysc(int n,int k){
while(!q.empty())q.pop();
for(int i = 1;i <= n;i++){
G[i].clear();
rep[i] = i;
col[i] = 0;
}
for(int i = 1;i <= k;i++){
odw[i] = 0;
rep2[i] = i;
reps[i].clear();
lista[i].clear();
skladowe[i] = 0;
found[i].clear();
}
}
void Find(int x){
if(rep[x] != x)
Find(rep[x]);
rep[x] = rep[rep[x]];
}
void Union(int x,int y,int k){
Find(x);
Find(y);
if(rep[x] != rep[y]){
rep[rep[y]] = rep[rep[x]];
skladowe[k]--;
if(skladowe[k] == 1){
odw[k] = 1;
q.push(k);
}
}
}
void join(int u,int v){
for(auto [c,r]: reps[v]){
if(reps[u].count(c))Union(r,reps[u][c],c);
reps[u][c] = r;
}
rep2[rep2[v]] = rep2[rep2[u]];
}
void Find2(int x){
if(rep2[x] != x)
Find2(rep2[x]);
rep2[x] = rep2[rep2[x]];
}
void Union2(int x,int y){
Find2(x);
Find2(y);
if(rep2[x] != rep2[y]){
int u = rep2[x],v = rep2[y];
if(reps[u].size() < reps[v].size())join(v,u);
else join(u,v);
}
}
void solve(){
int n,m,k;
cin >> n >> m >> k;
wyczysc(n,k);
for(int i = 1;i <= n;i++){
cin >> col[i];
lista[col[i]].pb(i);
skladowe[col[i]]++;
}
for(int i = 0;i < m;i++){
int a,b;
cin >> a >> b;
G[a].pb(b);
G[b].pb(a);
if(col[a] == col[b])Union(a,b,col[a]);
}
for(int i = 1;i <= k;i++)
if(skladowe[i] == 1 && !odw[i])
q.push(i);
while(!q.empty()){
int c = q.front();
odw[c] = 1;
q.pop();
//cout << c << "\n";
for(auto v: lista[c]){
for(auto u: G[v]){
int c2 = col[u];
if(odw[c2])Union2(c,c2);
if(c2 == c)continue;
Find2(c);
int c_rep = rep2[c];
if(reps[c_rep].count(c2))Union(u,reps[c_rep][c2],c2);
reps[c_rep][c2] = u;
}
}
}
for(int i = 1;i <= k;i++){
if(skladowe[i] > 1){
cout << "NIE\n";
return;
}
}
//cout << rep2[1] << " " << rep2[2];
cout << "TAK\n";
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
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 | #include<bits/stdc++.h> #define ll long long #define pb push_back #define pii pair<int,int> using namespace std; const int N = 1e5+1; int rep[N],rep2[N],skladowe[N],col[N]; vector<int>G[N],lista[N],found[N]; bitset<N>odw; queue<int>q; unordered_map<int,int>reps[N]; void wyczysc(int n,int k){ while(!q.empty())q.pop(); for(int i = 1;i <= n;i++){ G[i].clear(); rep[i] = i; col[i] = 0; } for(int i = 1;i <= k;i++){ odw[i] = 0; rep2[i] = i; reps[i].clear(); lista[i].clear(); skladowe[i] = 0; found[i].clear(); } } void Find(int x){ if(rep[x] != x) Find(rep[x]); rep[x] = rep[rep[x]]; } void Union(int x,int y,int k){ Find(x); Find(y); if(rep[x] != rep[y]){ rep[rep[y]] = rep[rep[x]]; skladowe[k]--; if(skladowe[k] == 1){ odw[k] = 1; q.push(k); } } } void join(int u,int v){ for(auto [c,r]: reps[v]){ if(reps[u].count(c))Union(r,reps[u][c],c); reps[u][c] = r; } rep2[rep2[v]] = rep2[rep2[u]]; } void Find2(int x){ if(rep2[x] != x) Find2(rep2[x]); rep2[x] = rep2[rep2[x]]; } void Union2(int x,int y){ Find2(x); Find2(y); if(rep2[x] != rep2[y]){ int u = rep2[x],v = rep2[y]; if(reps[u].size() < reps[v].size())join(v,u); else join(u,v); } } void solve(){ int n,m,k; cin >> n >> m >> k; wyczysc(n,k); for(int i = 1;i <= n;i++){ cin >> col[i]; lista[col[i]].pb(i); skladowe[col[i]]++; } for(int i = 0;i < m;i++){ int a,b; cin >> a >> b; G[a].pb(b); G[b].pb(a); if(col[a] == col[b])Union(a,b,col[a]); } for(int i = 1;i <= k;i++) if(skladowe[i] == 1 && !odw[i]) q.push(i); while(!q.empty()){ int c = q.front(); odw[c] = 1; q.pop(); //cout << c << "\n"; for(auto v: lista[c]){ for(auto u: G[v]){ int c2 = col[u]; if(odw[c2])Union2(c,c2); if(c2 == c)continue; Find2(c); int c_rep = rep2[c]; if(reps[c_rep].count(c2))Union(u,reps[c_rep][c2],c2); reps[c_rep][c2] = u; } } } for(int i = 1;i <= k;i++){ if(skladowe[i] > 1){ cout << "NIE\n"; return; } } //cout << rep2[1] << " " << rep2[2]; cout << "TAK\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t; while(t--)solve(); } |
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