// Arti1990, II UWr
#include <bits/stdc++.h>
#define forr(i, n) for(int i=0; i<n; i++)
#define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter)
#define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter)
#define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;})
#define testy() int _tests; cin>>_tests; FOR(_test, 1, _tests)
#define CLEAR(tab) memset(tab, 0, sizeof(tab))
#define CONTAIN(el, coll) (coll.find(el) != coll.end())
#define FOR(i, a, b) for(int i=a; i<=b; i++)
#define FORD(i, a, b) for(int i=a; i>=b; i--)
#define MP make_pair
#define PB push_back
#define ff first
#define ss second
#define deb(X) X;
#define SIZE(coll) ((int)coll.size())
#define M 1000000007
#define INF 1000000007LL
using namespace std;
int n, m, k, a, b, numer;
int ile[1000007], pom[1000007], kiedy[1000007], skonczony[1000007];
vector <int> gdzie[1000007], col_to_join;
struct miasto
{
int kol;
int o;
int rozm;
vector <int> l;
map <int, int> mapa; // <kolor, reprezentant>
};
miasto tab[1000007];
int Find(int nr)
{
if(nr == tab[nr].o)
return nr;
tab[nr].o = Find(tab[nr].o);
return tab[nr].o;
}
bool Union(int a, int b)
{
a = Find(a);
b = Find(b);
if(a == b)
return 0;
if(tab[a].rozm < tab[b].rozm)
swap(a, b);
//cout << "laczy " << a << " i " << b << '\n';
if(tab[a].kol == tab[b].kol)
{
ile[tab[a].kol]--;
if(ile[tab[a].kol] == 1)
col_to_join.PB(tab[a].kol);
}
tab[a].rozm += tab[b].rozm;
tab[b].o = a;
if(tab[a].mapa.size() < tab[b].mapa.size())
swap(tab[a].mapa, tab[b].mapa);
for(auto el : tab[b].mapa)
if(!skonczony[el.ff])
{
if(tab[a].mapa.count(el.ff) > 0)
{
Union(tab[a].mapa[el.ff], el.ss);
}
else
tab[a].mapa[el.ff] = el.ss;
}
return 1;
}
int solve()
{
cin >> n >> m >> k;
FOR(i, 1, k)
{
ile[i] = 0;
gdzie[i].clear();
skonczony[i] = 0;
}
FOR(i, 1, n)
{
cin >> tab[i].kol;
gdzie[tab[i].kol].PB(i);
ile[tab[i].kol]++;
tab[i].o = i;
tab[i].rozm = 1;
tab[i].l.clear();
tab[i].mapa.clear();
}
FOR(i, 1, k)
if(ile[i] == 1)
col_to_join.PB(i);
forr(i, m)
{
cin >> a >> b;
if(tab[a].kol == tab[b].kol)
Union(a, b);
else
{
tab[a].l.PB(b);
tab[b].l.PB(a);
}
}
while(col_to_join.size() > 0)
{
int kol1 = col_to_join.back();
col_to_join.pop_back();
//numer++;
skonczony[kol1] = 1;
//cout << "laczymy kolor " << kol << '\n';
for(auto nr1 : gdzie[kol1])
for(auto nr2 : tab[nr1].l)
{
int k2 = tab[nr2].kol;
if(skonczony[k2])
{
Union(nr1, nr2);
}
else
{
if(tab[Find(nr1)].mapa.count(k2) > 0)
Union(tab[Find(nr1)].mapa[k2], nr2);
else
tab[Find(nr1)].mapa[k2] = nr2;
}
/*
if(kiedy[k2] == numer)
{
Union(pom[k2], nr2);
}
else
{
kiedy[k2] = numer;
pom[k2] = nr2;
}
*/
}
}
FOR(i, 1, k)
if(ile[i] > 1)
return 0;
return 1;
}
int main()
{
std::ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
testy()
cout << (solve() ? "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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 | // Arti1990, II UWr #include <bits/stdc++.h> #define forr(i, n) for(int i=0; i<n; i++) #define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter) #define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter) #define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;}) #define testy() int _tests; cin>>_tests; FOR(_test, 1, _tests) #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define CONTAIN(el, coll) (coll.find(el) != coll.end()) #define FOR(i, a, b) for(int i=a; i<=b; i++) #define FORD(i, a, b) for(int i=a; i>=b; i--) #define MP make_pair #define PB push_back #define ff first #define ss second #define deb(X) X; #define SIZE(coll) ((int)coll.size()) #define M 1000000007 #define INF 1000000007LL using namespace std; int n, m, k, a, b, numer; int ile[1000007], pom[1000007], kiedy[1000007], skonczony[1000007]; vector <int> gdzie[1000007], col_to_join; struct miasto { int kol; int o; int rozm; vector <int> l; map <int, int> mapa; // <kolor, reprezentant> }; miasto tab[1000007]; int Find(int nr) { if(nr == tab[nr].o) return nr; tab[nr].o = Find(tab[nr].o); return tab[nr].o; } bool Union(int a, int b) { a = Find(a); b = Find(b); if(a == b) return 0; if(tab[a].rozm < tab[b].rozm) swap(a, b); //cout << "laczy " << a << " i " << b << '\n'; if(tab[a].kol == tab[b].kol) { ile[tab[a].kol]--; if(ile[tab[a].kol] == 1) col_to_join.PB(tab[a].kol); } tab[a].rozm += tab[b].rozm; tab[b].o = a; if(tab[a].mapa.size() < tab[b].mapa.size()) swap(tab[a].mapa, tab[b].mapa); for(auto el : tab[b].mapa) if(!skonczony[el.ff]) { if(tab[a].mapa.count(el.ff) > 0) { Union(tab[a].mapa[el.ff], el.ss); } else tab[a].mapa[el.ff] = el.ss; } return 1; } int solve() { cin >> n >> m >> k; FOR(i, 1, k) { ile[i] = 0; gdzie[i].clear(); skonczony[i] = 0; } FOR(i, 1, n) { cin >> tab[i].kol; gdzie[tab[i].kol].PB(i); ile[tab[i].kol]++; tab[i].o = i; tab[i].rozm = 1; tab[i].l.clear(); tab[i].mapa.clear(); } FOR(i, 1, k) if(ile[i] == 1) col_to_join.PB(i); forr(i, m) { cin >> a >> b; if(tab[a].kol == tab[b].kol) Union(a, b); else { tab[a].l.PB(b); tab[b].l.PB(a); } } while(col_to_join.size() > 0) { int kol1 = col_to_join.back(); col_to_join.pop_back(); //numer++; skonczony[kol1] = 1; //cout << "laczymy kolor " << kol << '\n'; for(auto nr1 : gdzie[kol1]) for(auto nr2 : tab[nr1].l) { int k2 = tab[nr2].kol; if(skonczony[k2]) { Union(nr1, nr2); } else { if(tab[Find(nr1)].mapa.count(k2) > 0) Union(tab[Find(nr1)].mapa[k2], nr2); else tab[Find(nr1)].mapa[k2] = nr2; } /* if(kiedy[k2] == numer) { Union(pom[k2], nr2); } else { kiedy[k2] = numer; pom[k2] = nr2; } */ } } FOR(i, 1, k) if(ile[i] > 1) return 0; return 1; } int main() { std::ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); testy() cout << (solve() ? "TAK" : "NIE") << '\n'; return 0; } |
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