#include<bits/stdc++.h>
#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 VAR(v, i) __typeof(i) v=(i)
#define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i)
#define VI vector<int>
#define PII pair<int,int>
#define st first
#define nd second
#define mp make_pair
#define pb push_back
#define lint long long int
#define debug(x) {cerr <<#x <<" = " <<x <<endl; }
#define debug2(x,y) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y <<endl; }
#define debug3(x,y,z) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y << ", " << #z << " = " << z <<endl; }
#define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<endl; }}
#define debugt(t,n) {{cerr <<#t <<" = "; FOR(it,0,(n)) cerr <<t[it] <<", "; cerr <<endl; }}
#define make( x) int (x); scanf("%d",&(x));
#define make2( x, y) int (x), (y); scanf("%d%d",&(x),&(y));
#define make3(x, y, z) int (x), (y), (z); scanf("%d%d%d",&(x),&(y),&(z));
#define make4(x, y, z, t) int (x), (y), (z), (t); scanf("%d%d%d%d",&(x),&(y),&(z),&(t));
#define IOS ios_base::sync_with_stdio(0)
#define HEAP priority_queue
#define read( x) scanf("%d",&(x));
#define read2( x, y) scanf("%d%d",&(x),&(y));
#define read3(x, y, z) scanf("%d%d%d",&(x),&(y),&(z));
#define read4(x, y, z, t) scanf("%d%d%d%d",&(x),&(y),&(z),&(t));
using namespace std;
int n, m, k;
unordered_set<int> g[100005];
int col[100005];
int ile[100005];
int fup[100005];
VI que;
int pos;
void clean() {
FOR(i,0,k+1) ile[i] = 0;
FOR(i,0,n) g[i].clear();
FOR(i,0,n) fup[i] = 0;
FOR(i,0,n) col[i] = 0;
que.clear();
pos = 0;
}
int par(int u) {
return (u == fup[u]) ? u : (fup[u] = par(fup[u]));
}
void merge(int u, int v) {
u = par(u);
v = par(v);
if (u == v) return;
if (g[u].size() > g[v].size()) swap(u,v);
for (int x : g[u]) {
if (x == v || x == u) continue;
g[v].insert(par(x));
g[x].erase(u);
g[x].insert(v);
}
fup[u] = v;
ile[col[v]]--;
if (col[v] != 0 && ile[col[v]] == 1) {
que.pb(v);
}
}
void solve() {
read3(n,m,k);
clean();
FOR(i,0,n) {
make(a); col[i] = a;
ile[a]++;
}
pos = 0;
vector<PII> e;
FOR(i,0,m) {
make2(a, b);
a--; b--;
g[a].insert(b); g[b].insert(a);
e.pb({a,b});
}
FOR(i,0,n) fup[i] = i;
FOR(i,0,n) if(ile[col[i]] == 1) que.pb(i);
FOR(i,0,e.size()) {
int a = e[i].st;
int b = e[i].nd;
if (col[a] == col[b]) merge(a,b);
}
while (pos < que.size()) {
int x = que[pos]; pos++;
VI szare;
x = par(x);
col[x] = 0;
for (int y : g[x]) {
int u = par(y);
if (u == x) continue;
if (col[u] == 0) {
szare.pb(u);
}
}
for (int i = 0; i < szare.size(); i++) {
int w = szare[i];
merge(par(w), x);
x = par(x);
}
vector<PII> by_color;
for (int y : g[x]) {
int u = par(y);
if (u == x) continue;
by_color.pb({col[u], u});
}
sort(by_color.begin(), by_color.end());
int cur = -1;
int kto = -1;
for (int i = 0; i < by_color.size(); i++) {
int c = by_color[i].st;
int u = by_color[i].nd;
if (c == cur) {
merge(kto, u);
kto = par(kto);
} else {
cur = c;
kto = u;
}
}
}
int ok = true;
FOR(i,1,k+1) if (ile[i] > 1) ok = false;
if (ok) printf("TAK\n");
else printf("NIE\n");
clean();
}
int main() {
make(z);
while (z--) {
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 | #include<bits/stdc++.h> #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 VAR(v, i) __typeof(i) v=(i) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define VI vector<int> #define PII pair<int,int> #define st first #define nd second #define mp make_pair #define pb push_back #define lint long long int #define debug(x) {cerr <<#x <<" = " <<x <<endl; } #define debug2(x,y) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y <<endl; } #define debug3(x,y,z) {cerr <<#x <<" = " <<x << ", "<<#y<<" = "<< y << ", " << #z << " = " << z <<endl; } #define debugv(x) {{cerr <<#x <<" = "; FORE(itt, (x)) cerr <<*itt <<", "; cerr <<endl; }} #define debugt(t,n) {{cerr <<#t <<" = "; FOR(it,0,(n)) cerr <<t[it] <<", "; cerr <<endl; }} #define make( x) int (x); scanf("%d",&(x)); #define make2( x, y) int (x), (y); scanf("%d%d",&(x),&(y)); #define make3(x, y, z) int (x), (y), (z); scanf("%d%d%d",&(x),&(y),&(z)); #define make4(x, y, z, t) int (x), (y), (z), (t); scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); #define IOS ios_base::sync_with_stdio(0) #define HEAP priority_queue #define read( x) scanf("%d",&(x)); #define read2( x, y) scanf("%d%d",&(x),&(y)); #define read3(x, y, z) scanf("%d%d%d",&(x),&(y),&(z)); #define read4(x, y, z, t) scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); using namespace std; int n, m, k; unordered_set<int> g[100005]; int col[100005]; int ile[100005]; int fup[100005]; VI que; int pos; void clean() { FOR(i,0,k+1) ile[i] = 0; FOR(i,0,n) g[i].clear(); FOR(i,0,n) fup[i] = 0; FOR(i,0,n) col[i] = 0; que.clear(); pos = 0; } int par(int u) { return (u == fup[u]) ? u : (fup[u] = par(fup[u])); } void merge(int u, int v) { u = par(u); v = par(v); if (u == v) return; if (g[u].size() > g[v].size()) swap(u,v); for (int x : g[u]) { if (x == v || x == u) continue; g[v].insert(par(x)); g[x].erase(u); g[x].insert(v); } fup[u] = v; ile[col[v]]--; if (col[v] != 0 && ile[col[v]] == 1) { que.pb(v); } } void solve() { read3(n,m,k); clean(); FOR(i,0,n) { make(a); col[i] = a; ile[a]++; } pos = 0; vector<PII> e; FOR(i,0,m) { make2(a, b); a--; b--; g[a].insert(b); g[b].insert(a); e.pb({a,b}); } FOR(i,0,n) fup[i] = i; FOR(i,0,n) if(ile[col[i]] == 1) que.pb(i); FOR(i,0,e.size()) { int a = e[i].st; int b = e[i].nd; if (col[a] == col[b]) merge(a,b); } while (pos < que.size()) { int x = que[pos]; pos++; VI szare; x = par(x); col[x] = 0; for (int y : g[x]) { int u = par(y); if (u == x) continue; if (col[u] == 0) { szare.pb(u); } } for (int i = 0; i < szare.size(); i++) { int w = szare[i]; merge(par(w), x); x = par(x); } vector<PII> by_color; for (int y : g[x]) { int u = par(y); if (u == x) continue; by_color.pb({col[u], u}); } sort(by_color.begin(), by_color.end()); int cur = -1; int kto = -1; for (int i = 0; i < by_color.size(); i++) { int c = by_color[i].st; int u = by_color[i].nd; if (c == cur) { merge(kto, u); kto = par(kto); } else { cur = c; kto = u; } } } int ok = true; FOR(i,1,k+1) if (ile[i] > 1) ok = false; if (ok) printf("TAK\n"); else printf("NIE\n"); clean(); } int main() { make(z); while (z--) { solve(); } } |
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