#pragma GCC optimize("O3")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using str = string;
//typedef tree<ll, null_type, less_equal<ll>, rb_tree_tag, tree_order_statistics_node_update> oset;
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}"; }
void _print() { cerr << "]\n"; }
template <typename T, typename... V>
void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); }
#ifdef LOCAL
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << endl;
#else
#define debug(x...)
#endif
const ll mod = 1e9+7;
const ll infi = 1e18+1;
const ld eps = 1e-14L;
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int tt; cin >> tt;
while(tt--){
int n, m, k; cin >> n >> m >> k;
vector<int> col(n+1);
for(int i=1;i<=n;i++) cin >> col[i];
vector<vector<int>> adj(n+1);
for(int i=0;i<m;i++){
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
vector<int> used(n+1), rep(n+1), repcol(1), repcnt(k+1);
vector<vector<int>> colverts(k+1);
int cnt = 0;
auto dfs = [&](auto &&self, int v) -> void {
rep[v] = cnt;
colverts[col[v]].push_back(v);
for(auto u : adj[v]){
if(!used[u] && col[v] == col[u]){
used[u] = 1;
self(self, u);
}
}
};
for(int i=1;i<=n;i++){
if(used[i]) continue;
used[i] = 1; cnt++;
repcnt[col[i]]++;
repcol.push_back(col[i]);
dfs(dfs, i);
}
vector<int> parent(cnt+1), sajz(cnt+1, 1), rem(k+1);
queue<int> q;
iota(parent.begin(), parent.end(), 0);
auto find = [&](auto &&self, int v) -> int {
return parent[v] == v ? v : parent[v] = self(self, parent[v]);
};
auto uni = [&](int a, int b) -> void {
a = find(find, a); b = find(find, b);
if(a == b) return;
if(sajz[a] < sajz[b]) swap(a, b);
parent[b] = a;
sajz[a] += sajz[b];
int c = repcol[a];
if(--repcnt[c] == 1 && !rem[c]) q.push(c);
};
for(int i=1;i<=k;i++){
if(repcnt[i] <= 1) q.push(i);
}
vector<int> dparent(n+1), dsajz(n+1, 1), alive(n+1, 1);
iota(dparent.begin(), dparent.end(), 0);
vector<map<int,int>> cross(n+1);
auto dfind = [&](auto &&self, int v) -> int {
return dparent[v] == v ? v : dparent[v] = self(self, dparent[v]);
};
auto add = [&](int a, int b, int c) -> void {
b = find(find, b);
auto &mp = cross[a];
auto it = mp.find(c);
if(it == mp.end()){
mp[c] = b;
return;
}
int pot = find(find, it->second);
if(pot == b){
mp[c] = b;
} else {
uni(b, pot);
mp[c] = find(find, pot);
}
};
auto duni = [&](int a, int b) -> void {
a = dfind(dfind, a); b = dfind(dfind, b);
if(a == b) return;
if(dsajz[a] < dsajz[b]) swap(a, b);
dparent[b] = a;
dsajz[a] += dsajz[b];
if(cross[a].size() < cross[b].size()) swap(cross[a], cross[b]);
for(auto [c, v] : cross[b]) add(a, v, c);
};
int ans = 0;
while(!q.empty()){
int c = q.front(); q.pop();
if(rem[c]) continue;
rem[c] = 1;
ans++;
for(auto v : colverts[c]){
alive[v] = 0;
}
for(auto v : colverts[c]){
for(auto u : adj[v]){
if(!alive[u]) duni(v, u);
}
}
for(auto v : colverts[c]){
auto vrep = dfind(dfind, v);
for(auto u : adj[v]){
if(alive[u]) add(vrep, rep[u], col[u]);
}
}
}
cout << (ans == k ? "TAK" : "NIE") << '\n';
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 | #pragma GCC optimize("O3") #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; //using namespace __gnu_pbds; using ll = long long; using ull = unsigned long long; using ld = long double; using str = string; //typedef tree<ll, null_type, less_equal<ll>, rb_tree_tag, tree_order_statistics_node_update> oset; void __print(int x) {cerr << x;} void __print(long x) {cerr << x;} void __print(long long x) {cerr << x;} void __print(unsigned x) {cerr << x;} void __print(unsigned long x) {cerr << x;} void __print(unsigned long long x) {cerr << x;} void __print(float x) {cerr << x;} void __print(double x) {cerr << x;} void __print(long double x) {cerr << x;} void __print(char x) {cerr << '\'' << x << '\'';} void __print(const char *x) {cerr << '\"' << x << '\"';} void __print(const string &x) {cerr << '\"' << x << '\"';} void __print(bool x) {cerr << (x ? "true" : "false");} template<typename T, typename V> void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';} template<typename T> void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}"; } void _print() { cerr << "]\n"; } template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); } #ifdef LOCAL #define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << endl; #else #define debug(x...) #endif const ll mod = 1e9+7; const ll infi = 1e18+1; const ld eps = 1e-14L; int main(){ ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int tt; cin >> tt; while(tt--){ int n, m, k; cin >> n >> m >> k; vector<int> col(n+1); for(int i=1;i<=n;i++) cin >> col[i]; vector<vector<int>> adj(n+1); for(int i=0;i<m;i++){ int a, b; cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); } vector<int> used(n+1), rep(n+1), repcol(1), repcnt(k+1); vector<vector<int>> colverts(k+1); int cnt = 0; auto dfs = [&](auto &&self, int v) -> void { rep[v] = cnt; colverts[col[v]].push_back(v); for(auto u : adj[v]){ if(!used[u] && col[v] == col[u]){ used[u] = 1; self(self, u); } } }; for(int i=1;i<=n;i++){ if(used[i]) continue; used[i] = 1; cnt++; repcnt[col[i]]++; repcol.push_back(col[i]); dfs(dfs, i); } vector<int> parent(cnt+1), sajz(cnt+1, 1), rem(k+1); queue<int> q; iota(parent.begin(), parent.end(), 0); auto find = [&](auto &&self, int v) -> int { return parent[v] == v ? v : parent[v] = self(self, parent[v]); }; auto uni = [&](int a, int b) -> void { a = find(find, a); b = find(find, b); if(a == b) return; if(sajz[a] < sajz[b]) swap(a, b); parent[b] = a; sajz[a] += sajz[b]; int c = repcol[a]; if(--repcnt[c] == 1 && !rem[c]) q.push(c); }; for(int i=1;i<=k;i++){ if(repcnt[i] <= 1) q.push(i); } vector<int> dparent(n+1), dsajz(n+1, 1), alive(n+1, 1); iota(dparent.begin(), dparent.end(), 0); vector<map<int,int>> cross(n+1); auto dfind = [&](auto &&self, int v) -> int { return dparent[v] == v ? v : dparent[v] = self(self, dparent[v]); }; auto add = [&](int a, int b, int c) -> void { b = find(find, b); auto &mp = cross[a]; auto it = mp.find(c); if(it == mp.end()){ mp[c] = b; return; } int pot = find(find, it->second); if(pot == b){ mp[c] = b; } else { uni(b, pot); mp[c] = find(find, pot); } }; auto duni = [&](int a, int b) -> void { a = dfind(dfind, a); b = dfind(dfind, b); if(a == b) return; if(dsajz[a] < dsajz[b]) swap(a, b); dparent[b] = a; dsajz[a] += dsajz[b]; if(cross[a].size() < cross[b].size()) swap(cross[a], cross[b]); for(auto [c, v] : cross[b]) add(a, v, c); }; int ans = 0; while(!q.empty()){ int c = q.front(); q.pop(); if(rem[c]) continue; rem[c] = 1; ans++; for(auto v : colverts[c]){ alive[v] = 0; } for(auto v : colverts[c]){ for(auto u : adj[v]){ if(!alive[u]) duni(v, u); } } for(auto v : colverts[c]){ auto vrep = dfind(dfind, v); for(auto u : adj[v]){ if(alive[u]) add(vrep, rep[u], col[u]); } } } cout << (ans == k ? "TAK" : "NIE") << '\n'; } return 0; } |
English