#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using pii = pair<int,int>;
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define rep(i,b,e) for(int i=(b); i<(e); ++i)
#define each(a,x) for(auto &a : (x))
#define all(x) (x).begin(),(x).end()
#define sz(x) int((x).size())
const int N = 1e5+5;
vector<vi> g(N);
int color[N];
int cnt_color[N];
int col_any_v[N];
struct DSU{
vi par,cnt,cnt_marked;
void build(int n){
n+=2;
par.resize(n);
cnt.resize(n);
cnt_marked.resize(n);
rep(i,0,n){
par[i] = i;
cnt[i] = 1;
cnt_marked[i] = 0;
}
}
void Mark(int a){
cnt_marked[a] = 1;
}
int Find(int a){
if(par[a] != a) par[a] = Find(par[a]);
return par[a];
}
void Union(int a, int b){
a = Find(a);
b = Find(b);
if(a==b) return;
if(cnt[a] < cnt[b]) swap(a,b);
cnt[a] += cnt[b];
cnt_marked[a] += cnt_marked[b];
par[b] = a;
}
};
void solve(){
int n,m,k;
cin >> n >> m >> k;
vector<DSU> dsu(k+1);
rep(i,1,k+1){
dsu[i].build(n);
}
rep(i,1,n+1){
int c;
cin >> c;
color[i] = c;
col_any_v[c] = i;
cnt_color[c] += 1;
dsu[c].Mark(i);
}
auto clear = [&](){
rep(i,0,n+2){
g[i].clear();
cnt_color[i] = 0;
}
};
rep(i,0,m){
int a,b;
cin >> a >> b;
g[a].push_back(b);
g[b].push_back(a);
if(color[a] == color[b])
dsu[color[a]].Union(a,b);
}
while(true){
// warunek końca
bool conn = true;
rep(c,1,k+1){
if(cnt_color[c] == 0) continue;
int any_v = col_any_v[c];
int comp = dsu[c].Find(any_v);
int cnt_marked = dsu[c].cnt_marked[comp];
if(cnt_marked != cnt_color[c]){
conn = false;
break;
}
}
if(conn){
break;
}
// szukamy kogokolwiek z cnt_marked == cnt_color
int c,v=-1;
for(c=1; c<=k+1; ++c){
if(cnt_color[c] == 0) continue;
int any_v = col_any_v[c];
int comp = dsu[c].Find(any_v);
int cnt_marked = dsu[c].cnt_marked[comp];
if(cnt_marked == cnt_color[c]){
v = any_v;
break;
}
}
if(v == -1){
clear();
cout << "NIE\n";
return;
}
rep(v,1,n+1){
if(color[v] != c) continue;
rep(c,1,k+1){
each(u,g[v]){
if(color[u] == color[v]) continue;
dsu[c].Union(v,u);
}
}
}
}
clear();
cout << "TAK\n";
}
int main(){
cin.tie(0)->sync_with_stdio(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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 | #include <bits/stdc++.h> using namespace std; using ll = long long; using vi = vector<int>; using pii = pair<int,int>; #define mp make_pair #define pb push_back #define eb emplace_back #define rep(i,b,e) for(int i=(b); i<(e); ++i) #define each(a,x) for(auto &a : (x)) #define all(x) (x).begin(),(x).end() #define sz(x) int((x).size()) const int N = 1e5+5; vector<vi> g(N); int color[N]; int cnt_color[N]; int col_any_v[N]; struct DSU{ vi par,cnt,cnt_marked; void build(int n){ n+=2; par.resize(n); cnt.resize(n); cnt_marked.resize(n); rep(i,0,n){ par[i] = i; cnt[i] = 1; cnt_marked[i] = 0; } } void Mark(int a){ cnt_marked[a] = 1; } int Find(int a){ if(par[a] != a) par[a] = Find(par[a]); return par[a]; } void Union(int a, int b){ a = Find(a); b = Find(b); if(a==b) return; if(cnt[a] < cnt[b]) swap(a,b); cnt[a] += cnt[b]; cnt_marked[a] += cnt_marked[b]; par[b] = a; } }; void solve(){ int n,m,k; cin >> n >> m >> k; vector<DSU> dsu(k+1); rep(i,1,k+1){ dsu[i].build(n); } rep(i,1,n+1){ int c; cin >> c; color[i] = c; col_any_v[c] = i; cnt_color[c] += 1; dsu[c].Mark(i); } auto clear = [&](){ rep(i,0,n+2){ g[i].clear(); cnt_color[i] = 0; } }; rep(i,0,m){ int a,b; cin >> a >> b; g[a].push_back(b); g[b].push_back(a); if(color[a] == color[b]) dsu[color[a]].Union(a,b); } while(true){ // warunek końca bool conn = true; rep(c,1,k+1){ if(cnt_color[c] == 0) continue; int any_v = col_any_v[c]; int comp = dsu[c].Find(any_v); int cnt_marked = dsu[c].cnt_marked[comp]; if(cnt_marked != cnt_color[c]){ conn = false; break; } } if(conn){ break; } // szukamy kogokolwiek z cnt_marked == cnt_color int c,v=-1; for(c=1; c<=k+1; ++c){ if(cnt_color[c] == 0) continue; int any_v = col_any_v[c]; int comp = dsu[c].Find(any_v); int cnt_marked = dsu[c].cnt_marked[comp]; if(cnt_marked == cnt_color[c]){ v = any_v; break; } } if(v == -1){ clear(); cout << "NIE\n"; return; } rep(v,1,n+1){ if(color[v] != c) continue; rep(c,1,k+1){ each(u,g[v]){ if(color[u] == color[v]) continue; dsu[c].Union(v,u); } } } } clear(); cout << "TAK\n"; } int main(){ cin.tie(0)->sync_with_stdio(0); int t; cin >> t; while(t--){ solve(); } } |
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