#include <cstdio>
#include <cmath>
#include <iostream>
#include <algorithm>
#include <queue>
#include <list>
#include <vector>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <set>
#include <bitset>
#include <stack>
#include <string>
#include <cstring>
#include <cassert>
#include <limits.h>
using namespace std;
typedef long long LL;
typedef long double LD;
typedef vector<int> VI;
#define REP(i,n) for(int i=0;i<(n);i++)
#define FOR(i,a,b) for(VAR(i,a);i<=(b);++i)
#define FORD(i,a,b) for(VAR(i,a);i>=(b);--i)
#define FORE(a,b) for(VAR(a,(b).begin());a!=(b).end();++a)
#define VAR(a,b) __typeof(b) a=(b)
#define SIZE(a) ((int)((a).size()))
#define ALL(x) (x).begin(),(x).end()
#define CLR(x,a) memset(x,a,sizeof(x))
#define ZERO(x) memset(x,0,sizeof(x))
#define S(t,i) scanf("%" ## t, &i)
#define SI(i) scanf("%d", &i)
const int MAXN=100000+11;
int n, m, k, t;
int city_party[MAXN];
map<int, list<int>> city_party_edges[MAXN];
set<int> party_sets[MAXN];
queue<int> one_set_party_v;
bool blackhole[MAXN];
int parent[MAXN];
// int set_size[MAXN];
int find_set(int v) {
if (v == parent[v])
return v;
return parent[v] = find_set(parent[v]);
}
void make_set(int v) {
parent[v] = v;
// set_size[v] = 1;
}
int union_sets(int a, int b) {
a = find_set(a);
b = find_set(b);
if (a != b) {
// assert(blackhole[a] == blackhole[b]);
if (!blackhole[a]) {
// if (set_size[a] < set_size[b])
// swap(a, b);
if (city_party_edges[a].size() < city_party_edges[b].size())
swap(a, b);
parent[b] = a;
// set_size[a] += set_size[b];
int party = city_party[a];
party_sets[party].erase(b);
if (party_sets[party].size() == 1) {
one_set_party_v.push(a);
}
FORE(ei, city_party_edges[b]) {
int party = ei->first;
city_party_edges[a][party].splice(city_party_edges[a][party].begin(), ei->second);
}
} else {
if (city_party_edges[a].size() < city_party_edges[b].size())
swap(a, b);
parent[b] = a;
// set_size[a] += set_size[b];
FORE(pi, city_party_edges[b]) {
int party = pi->first;
auto party_edges = pi->second;
auto bi = party_edges.begin();
int b_v = *bi;
auto ai = city_party_edges[a].find(party);
if (ai != city_party_edges[a].end()) {
int a_v = *ai->second.begin();
union_sets(b_v, a_v);
} else {
city_party_edges[a][party].push_back(b_v);
}
}
}
}
return a;
}
bool solve() {
cin>>n>>m>>k;
FOR(ki, 1, k) {
party_sets[ki].clear();
}
FOR(ni, 1, n) {
cin>>city_party[ni];
blackhole[ni] = false;
make_set(ni);
party_sets[city_party[ni]].insert(ni);
city_party_edges[ni].clear();
}
FOR(ki, 1, k) {
if (party_sets[ki].size()==1) {
one_set_party_v.push(*party_sets[ki].begin());
}
}
REP(mi, m) {
int u, v;
cin >> u >> v;
u = find_set(u);
v = find_set(v);
if (city_party[u] == city_party[v]) {
if (u==v) continue;
union_sets(u, v);
} else {
city_party_edges[u][city_party[v]].push_back(v);
city_party_edges[v][city_party[u]].push_back(u);
}
}
// cout<<"\n";
while (!one_set_party_v.empty()) {
int party_v = one_set_party_v.front();
one_set_party_v.pop();
// cout << party_v << " " << city_party[party_v] << "\n";
//assert(blackhole[party_v]==false);
blackhole[party_v]=true;
list<int> blackholes_to_merge;
FORE(pi, city_party_edges[party_v]) {
auto party_edges = pi->second;
auto ei = party_edges.begin();
int first_v = find_set(*ei);
if (blackhole[first_v]) {
blackholes_to_merge.push_back(first_v);
} else {
++ei;
while (ei!=party_edges.end()) {
union_sets(first_v, *ei);
ei = party_edges.erase(ei);
}
}
}
FORE(bi, blackholes_to_merge) {
// cout << "merge blackholes " << party_v << " " << *bi << "\n";
party_v = union_sets(party_v, *bi);
}
}
FOR(ki, 1, k) {
if (party_sets[ki].size() > 1) {
return false;
}
}
return true;
}
int main() {
ios_base::sync_with_stdio(0);
cin >> t;
REP(ti, t) {
if (solve()) {
cout<<"TAK\n";
} else {
cout<<"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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 | #include <cstdio> #include <cmath> #include <iostream> #include <algorithm> #include <queue> #include <list> #include <vector> #include <map> #include <unordered_map> #include <unordered_set> #include <set> #include <bitset> #include <stack> #include <string> #include <cstring> #include <cassert> #include <limits.h> using namespace std; typedef long long LL; typedef long double LD; typedef vector<int> VI; #define REP(i,n) for(int i=0;i<(n);i++) #define FOR(i,a,b) for(VAR(i,a);i<=(b);++i) #define FORD(i,a,b) for(VAR(i,a);i>=(b);--i) #define FORE(a,b) for(VAR(a,(b).begin());a!=(b).end();++a) #define VAR(a,b) __typeof(b) a=(b) #define SIZE(a) ((int)((a).size())) #define ALL(x) (x).begin(),(x).end() #define CLR(x,a) memset(x,a,sizeof(x)) #define ZERO(x) memset(x,0,sizeof(x)) #define S(t,i) scanf("%" ## t, &i) #define SI(i) scanf("%d", &i) const int MAXN=100000+11; int n, m, k, t; int city_party[MAXN]; map<int, list<int>> city_party_edges[MAXN]; set<int> party_sets[MAXN]; queue<int> one_set_party_v; bool blackhole[MAXN]; int parent[MAXN]; // int set_size[MAXN]; int find_set(int v) { if (v == parent[v]) return v; return parent[v] = find_set(parent[v]); } void make_set(int v) { parent[v] = v; // set_size[v] = 1; } int union_sets(int a, int b) { a = find_set(a); b = find_set(b); if (a != b) { // assert(blackhole[a] == blackhole[b]); if (!blackhole[a]) { // if (set_size[a] < set_size[b]) // swap(a, b); if (city_party_edges[a].size() < city_party_edges[b].size()) swap(a, b); parent[b] = a; // set_size[a] += set_size[b]; int party = city_party[a]; party_sets[party].erase(b); if (party_sets[party].size() == 1) { one_set_party_v.push(a); } FORE(ei, city_party_edges[b]) { int party = ei->first; city_party_edges[a][party].splice(city_party_edges[a][party].begin(), ei->second); } } else { if (city_party_edges[a].size() < city_party_edges[b].size()) swap(a, b); parent[b] = a; // set_size[a] += set_size[b]; FORE(pi, city_party_edges[b]) { int party = pi->first; auto party_edges = pi->second; auto bi = party_edges.begin(); int b_v = *bi; auto ai = city_party_edges[a].find(party); if (ai != city_party_edges[a].end()) { int a_v = *ai->second.begin(); union_sets(b_v, a_v); } else { city_party_edges[a][party].push_back(b_v); } } } } return a; } bool solve() { cin>>n>>m>>k; FOR(ki, 1, k) { party_sets[ki].clear(); } FOR(ni, 1, n) { cin>>city_party[ni]; blackhole[ni] = false; make_set(ni); party_sets[city_party[ni]].insert(ni); city_party_edges[ni].clear(); } FOR(ki, 1, k) { if (party_sets[ki].size()==1) { one_set_party_v.push(*party_sets[ki].begin()); } } REP(mi, m) { int u, v; cin >> u >> v; u = find_set(u); v = find_set(v); if (city_party[u] == city_party[v]) { if (u==v) continue; union_sets(u, v); } else { city_party_edges[u][city_party[v]].push_back(v); city_party_edges[v][city_party[u]].push_back(u); } } // cout<<"\n"; while (!one_set_party_v.empty()) { int party_v = one_set_party_v.front(); one_set_party_v.pop(); // cout << party_v << " " << city_party[party_v] << "\n"; //assert(blackhole[party_v]==false); blackhole[party_v]=true; list<int> blackholes_to_merge; FORE(pi, city_party_edges[party_v]) { auto party_edges = pi->second; auto ei = party_edges.begin(); int first_v = find_set(*ei); if (blackhole[first_v]) { blackholes_to_merge.push_back(first_v); } else { ++ei; while (ei!=party_edges.end()) { union_sets(first_v, *ei); ei = party_edges.erase(ei); } } } FORE(bi, blackholes_to_merge) { // cout << "merge blackholes " << party_v << " " << *bi << "\n"; party_v = union_sets(party_v, *bi); } } FOR(ki, 1, k) { if (party_sets[ki].size() > 1) { return false; } } return true; } int main() { ios_base::sync_with_stdio(0); cin >> t; REP(ti, t) { if (solve()) { cout<<"TAK\n"; } else { cout<<"NIE\n"; } } return 0; } |
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