#include <bits/stdc++.h>
#pragma GCC target ("avx2,fma")
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)
using namespace std;
int inf=1000000007;
ll infl=1000000000000000007;
const ll mod=1000000007;
#ifdef LOCAL
auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";}
auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";}
#define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X)
#else
#define debug(...){}
#endif
const int N=100007;
vector<int>G[N],V[N];
int x[N],ile[N],r[N],r1[N];
bool odw[N];
deque<int>Q;
map<int,int>M[N];
int Find(int v)
{
if(r[v]==v) return v;
return r[v]=Find(r[v]);
}
void Union(int u,int v)
{
u=Find(u),v=Find(v);
if(u==v) return ;
r[u]=v;
ile[x[u]]--;
if(!odw[x[u]]&&ile[x[u]]==0)
{
odw[x[u]]=1;
Q.pb(x[u]);
}
}
int Find1(int v)
{
if(r1[v]==v) return v;
return r1[v]=Find1(r1[v]);
}
void Merge(int u,int v)
{
u=Find1(u),v=Find1(v);
if(u==v) return ;
if(sz(M[u])>sz(M[v])) swap(u,v);
r1[u]=v;
for(auto [i,y]:M[u])
{
if(odw[i]) continue;
int t=M[v][i];
if(t>0) Union(t,y);
else M[v][i]=y;
}
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int tt;
cin>>tt;
while(tt--)
{
int n,m,k;
cin>>n>>m>>k;
FOR(i,1,n)
{
cin>>x[i];
V[x[i]].pb(i);
}
Q.clear();
FOR(i,1,k)
{
ile[i]=sz(V[i])-1;
if(ile[i]<=0)
{
odw[i]=1;
Q.pb(i);
}
}
FOR(i,1,n) r[i]=i,r1[i]=0;
FOR(i,1,m)
{
int a,b;
cin>>a>>b;
G[a].pb(b);
G[b].pb(a);
if(x[a]==x[b]) Union(a,b);
}
while(sz(Q)>0)
{
int i=Q[0];
Q.pop_front();
debug(i);
for(auto v:V[i])
{
r1[v]=v;
for(auto u:G[v])
{
if(odw[x[u]]) continue;
int t=M[v][x[u]];
if(t>0) Union(t,u);
else M[v][x[u]]=u;
}
}
for(auto v:V[i])
{
for(auto u:G[v]) if(r1[u]) Merge(u,v);
}
}
bool ok=1;
FOR(i,1,k) ok&=odw[i];
if(ok) cout<<"TAK"<<endl;
else cout<<"NIE"<<endl;
FOR(i,0,max({n,m,k}))
{
G[i].clear();
V[i].clear();
M[i].clear();
ile[i]=0;
odw[i]=0;
}
}
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 | #include <bits/stdc++.h> #pragma GCC target ("avx2,fma") #pragma GCC optimize ("Ofast") #pragma GCC optimize ("unroll-loops") #define ll long long #define ld long double #define endl '\n' #define st first #define nd second #define pb push_back #define sz(x) (int)(x).size() #define all(x) (x).begin(), (x).end() #define FOR(i,l,r) for(int i=(l);i<=(r);i++) #define ROF(i,r,l) for(int i=(r);i>=(l);i--) using namespace std; int inf=1000000007; ll infl=1000000000000000007; const ll mod=1000000007; #ifdef LOCAL auto&operator<<(auto&o,pair<auto,auto>p){return o<<"("<<p.first<<", "<<p.second<<")";} auto operator<<(auto&o,auto x)->decltype(x.end(),o){o<<"{";int i=0;for(auto e:x)o<<","+!i++<<e;return o<<"}";} #define debug(X...)cerr<<"["#X"]: ",[](auto...$){((cerr<<$<<"; "),...)<<endl;}(X) #else #define debug(...){} #endif const int N=100007; vector<int>G[N],V[N]; int x[N],ile[N],r[N],r1[N]; bool odw[N]; deque<int>Q; map<int,int>M[N]; int Find(int v) { if(r[v]==v) return v; return r[v]=Find(r[v]); } void Union(int u,int v) { u=Find(u),v=Find(v); if(u==v) return ; r[u]=v; ile[x[u]]--; if(!odw[x[u]]&&ile[x[u]]==0) { odw[x[u]]=1; Q.pb(x[u]); } } int Find1(int v) { if(r1[v]==v) return v; return r1[v]=Find1(r1[v]); } void Merge(int u,int v) { u=Find1(u),v=Find1(v); if(u==v) return ; if(sz(M[u])>sz(M[v])) swap(u,v); r1[u]=v; for(auto [i,y]:M[u]) { if(odw[i]) continue; int t=M[v][i]; if(t>0) Union(t,y); else M[v][i]=y; } } signed main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int tt; cin>>tt; while(tt--) { int n,m,k; cin>>n>>m>>k; FOR(i,1,n) { cin>>x[i]; V[x[i]].pb(i); } Q.clear(); FOR(i,1,k) { ile[i]=sz(V[i])-1; if(ile[i]<=0) { odw[i]=1; Q.pb(i); } } FOR(i,1,n) r[i]=i,r1[i]=0; FOR(i,1,m) { int a,b; cin>>a>>b; G[a].pb(b); G[b].pb(a); if(x[a]==x[b]) Union(a,b); } while(sz(Q)>0) { int i=Q[0]; Q.pop_front(); debug(i); for(auto v:V[i]) { r1[v]=v; for(auto u:G[v]) { if(odw[x[u]]) continue; int t=M[v][x[u]]; if(t>0) Union(t,u); else M[v][x[u]]=u; } } for(auto v:V[i]) { for(auto u:G[v]) if(r1[u]) Merge(u,v); } } bool ok=1; FOR(i,1,k) ok&=odw[i]; if(ok) cout<<"TAK"<<endl; else cout<<"NIE"<<endl; FOR(i,0,max({n,m,k})) { G[i].clear(); V[i].clear(); M[i].clear(); ile[i]=0; odw[i]=0; } } return 0; } |
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