#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define ld long double
#define ull unsigned long long
#define ff first
#define ss second
#define pii pair<int,int>
#define pll pair<long long, long long>
#define vi vector<int>
#define vl vector<long long>
#define pb push_back
#define rep(i, b) for(int i = 0; i < (b); ++i)
#define rep2(i,a,b) for(int i = a; i <= (b); ++i)
#define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c)
#define count_bits(x) __builtin_popcountll((x))
#define all(x) (x).begin(),(x).end()
#define siz(x) (int)(x).size()
#define forall(it,x) for(auto& it:(x))
using namespace __gnu_pbds;
using namespace std;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
//mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());}
//ll los(ll a, ll b) {return a + (mt() % (b-a+1));}
const int INF = 1e9+50;
const ll INF_L = 1e18+40;
const ll MOD = 1e9+7;
////// kod pochodzi z tego bloga: https://codeforces.com/blog/entry/62393
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
///////
int color[100003];
vi color_ls[100003];
bool is_del[100003];
vi graph[100003];
int rep_[100003];
int siz_[100003];
int rep2[100003];
unordered_map<ll,int,custom_hash> mp[100003];
vi del_ls;
int fint(int v)
{
if(rep_[v] == v) return v;
return rep_[v] = fint(rep_[v]);
}
void onion(int a, int b)
{
a = fint(a);
b = fint(b);
if(a == b) return;
rep_[a] = b;
siz_[b] += siz_[a];
if(siz(color_ls[color[b]]) == siz_[b]) forall(it,color_ls[color[b]]) del_ls.pb(it);
}
int fint2(int v)
{
if(rep2[v] == v) return v;
return rep2[v] = fint2(rep2[v]);
}
void onion2(int a, int b)
{
a = fint2(a);
b = fint2(b);
if(a == b) return;
if(siz(mp[a]) > siz(mp[b])) swap(a,b);
rep2[a] = b;
forall(it,mp[a])
{
if(mp[b].find(it.ff) != mp[b].end()) onion(it.ss,mp[b][it.ff]);
else mp[b][it.ff] = it.ss;
}
}
void solve()
{
int n,m,k;
cin >> n >> m >> k;
del_ls = {};
rep2(i,1,n) cin >> color[i];
rep2(i,1,k) color_ls[i] = {};
rep2(i,1,n)
{
color_ls[color[i]].pb(i);
graph[i] = {};
is_del[i] = 0;
rep_[i] = i;
siz_[i] = 1;
mp[i] = {};
rep2[i] = i;
}
rep2(i,1,n) if(siz(color_ls[color[i]]) == 1) del_ls.pb(i);
rep(i,m)
{
int a,b;
cin >> a >> b;
graph[a].pb(b);
graph[b].pb(a);
if(color[a] == color[b]) onion(a,b);
}
int cnt = 0;
while(!del_ls.empty())
{
int v = del_ls.back();
del_ls.pop_back();
cnt++;
is_del[v] = 1;
forall(it,graph[v])
{
if(is_del[it]) onion2(v,it);
else
{
int v2 = fint2(v);
if(mp[v2].find(color[it]) != mp[v2].end()) onion(it,mp[v2][color[it]]);
else mp[v2][color[it]] = it;
}
}
}
if(cnt == n) cout << "TAK\n";
else cout << "NIE\n";
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
//random_start();
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 | #include <bits/stdc++.h> #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define ll long long #define ld long double #define ull unsigned long long #define ff first #define ss second #define pii pair<int,int> #define pll pair<long long, long long> #define vi vector<int> #define vl vector<long long> #define pb push_back #define rep(i, b) for(int i = 0; i < (b); ++i) #define rep2(i,a,b) for(int i = a; i <= (b); ++i) #define rep3(i,a,b,c) for(int i = a; i <= (b); i+=c) #define count_bits(x) __builtin_popcountll((x)) #define all(x) (x).begin(),(x).end() #define siz(x) (int)(x).size() #define forall(it,x) for(auto& it:(x)) using namespace __gnu_pbds; using namespace std; typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set; //mt19937 mt;void random_start(){mt.seed(chrono::time_point_cast<chrono::milliseconds>(chrono::high_resolution_clock::now()).time_since_epoch().count());} //ll los(ll a, ll b) {return a + (mt() % (b-a+1));} const int INF = 1e9+50; const ll INF_L = 1e18+40; const ll MOD = 1e9+7; ////// kod pochodzi z tego bloga: https://codeforces.com/blog/entry/62393 struct custom_hash { static uint64_t splitmix64(uint64_t x) { // http://xorshift.di.unimi.it/splitmix64.c x += 0x9e3779b97f4a7c15; x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9; x = (x ^ (x >> 27)) * 0x94d049bb133111eb; return x ^ (x >> 31); } size_t operator()(uint64_t x) const { static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count(); return splitmix64(x + FIXED_RANDOM); } }; /////// int color[100003]; vi color_ls[100003]; bool is_del[100003]; vi graph[100003]; int rep_[100003]; int siz_[100003]; int rep2[100003]; unordered_map<ll,int,custom_hash> mp[100003]; vi del_ls; int fint(int v) { if(rep_[v] == v) return v; return rep_[v] = fint(rep_[v]); } void onion(int a, int b) { a = fint(a); b = fint(b); if(a == b) return; rep_[a] = b; siz_[b] += siz_[a]; if(siz(color_ls[color[b]]) == siz_[b]) forall(it,color_ls[color[b]]) del_ls.pb(it); } int fint2(int v) { if(rep2[v] == v) return v; return rep2[v] = fint2(rep2[v]); } void onion2(int a, int b) { a = fint2(a); b = fint2(b); if(a == b) return; if(siz(mp[a]) > siz(mp[b])) swap(a,b); rep2[a] = b; forall(it,mp[a]) { if(mp[b].find(it.ff) != mp[b].end()) onion(it.ss,mp[b][it.ff]); else mp[b][it.ff] = it.ss; } } void solve() { int n,m,k; cin >> n >> m >> k; del_ls = {}; rep2(i,1,n) cin >> color[i]; rep2(i,1,k) color_ls[i] = {}; rep2(i,1,n) { color_ls[color[i]].pb(i); graph[i] = {}; is_del[i] = 0; rep_[i] = i; siz_[i] = 1; mp[i] = {}; rep2[i] = i; } rep2(i,1,n) if(siz(color_ls[color[i]]) == 1) del_ls.pb(i); rep(i,m) { int a,b; cin >> a >> b; graph[a].pb(b); graph[b].pb(a); if(color[a] == color[b]) onion(a,b); } int cnt = 0; while(!del_ls.empty()) { int v = del_ls.back(); del_ls.pop_back(); cnt++; is_del[v] = 1; forall(it,graph[v]) { if(is_del[it]) onion2(v,it); else { int v2 = fint2(v); if(mp[v2].find(color[it]) != mp[v2].end()) onion(it,mp[v2][color[it]]); else mp[v2][color[it]] = it; } } } if(cnt == n) cout << "TAK\n"; else cout << "NIE\n"; } int main() { ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0); //random_start(); int t = 1; cin >> t; while(t--) solve(); } |
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