// PA2026, @mjm, r3b-kam
#include <cstdio>
#include <cmath>
#include <vector>
#include <queue>
#include <set>
#include <unordered_map>
using namespace std;
using lol = long long;
int nextInt() { int n; scanf("%d", &n); return n; }
lol nextLol() { lol n; scanf("%lld", &n); return n; }
inline lol myMax(lol a, lol b) { return a >= b ? a : b; }
inline int myMin(int a, int b) { return a <= b ? a : b; }
class FU {
vector<int> p;
public:
FU(int n) : p(n, -1) {}
int f(int x) {
int r = x;
while (p[r] >= 0) r = p[r];
while (x != r) {
int t = p[x];
p[x] = r;
x = t;
}
return r;
}
bool u(int x, int y) {
x = f(x);
y = f(y);
if (x == y) return false;
if (p[x] <= p[y]) {
p[x] += p[y];
p[y] = x;
} else {
p[y] += p[x];
p[x] = y;
}
return true;
}
};
bool solve() {
int n = nextInt();
int m = nextInt();
int k = nextInt(); // unused?
vector<int> color(n);
unordered_map<int, vector<int>> vertexListByColor;
unordered_map<int, int> groupCountByColor;
for (int i = 0; i < n; ++i) {
color[i] = nextInt();
vertexListByColor[color[i]].push_back(i);
}
vector<vector<int>> graph(n);
for (int i = 0; i < m; ++i) {
int a = nextInt() - 1;
int b = nextInt() - 1;
graph[a].push_back(b);
graph[b].push_back(a);
}
vector<int> id(n, -1);
unordered_map<int, set<int>> idByColor;
unordered_map<int, vector<int>> vertexById;
queue<int> todo;
for (int i = 0; i < n; ++i) {
if (id[i] >= 0)
continue;
vector<int>& vertexList = vertexById[i];
queue<int> q;
q.push(i);
id[i] = i;
idByColor[color[i]].insert(i);
while (!q.empty()) {
int a = q.front();
q.pop();
vertexList.push_back(a);
vector<int>& v = graph[a];
for (int j = 0; j < v.size(); ++j) {
int b = v[j];
if (color[b] != color[i])
continue;
if (id[b] >= 0)
continue;
q.push(b);
id[b] = i;
}
}
if (vertexList.size() == vertexListByColor[color[i]].size())
todo.push(i);
++groupCountByColor[color[i]];
}
FU fu(n);
int doneCount = 0;
while (!todo.empty()) {
++doneCount;
int curId = todo.front();
todo.pop();
vector<int>& vertexList = vertexListByColor[color[curId]];
unordered_map<int, set<int>> otoczkaIdsByColor;
for (int i = 0; i < vertexList.size(); ++i) {
int a = vertexList[i];
vector<int>& listaSasiadow = graph[a];
for (int j = 0; j < listaSasiadow.size(); ++j) {
int b = listaSasiadow[j];
otoczkaIdsByColor[color[b]].insert(fu.f(id[b]));
}
}
for (auto it = otoczkaIdsByColor.begin(); it != otoczkaIdsByColor.end(); ++it) {
auto& idsList = it->second;
if (idsList.size() <= 1) continue;
int fstId = -1;
for (auto it2 = idsList.begin(); it2 != idsList.end(); ++it2) {
int curId = *it2;
if (fstId < 0) {
fstId = curId;
continue;
}
fu.u(fstId, curId);
--groupCountByColor[color[fstId]];
}
if (groupCountByColor[color[fstId]] == 1)
todo.push(fu.f(fstId));
}
}
return doneCount == vertexListByColor.size();
}
int main() {
int TC = nextInt();
for (int tc = 0; tc < TC; ++tc) {
bool res = solve();
printf("%s\n", res ? "TAK" : "NIE");
}
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 | // PA2026, @mjm, r3b-kam #include <cstdio> #include <cmath> #include <vector> #include <queue> #include <set> #include <unordered_map> using namespace std; using lol = long long; int nextInt() { int n; scanf("%d", &n); return n; } lol nextLol() { lol n; scanf("%lld", &n); return n; } inline lol myMax(lol a, lol b) { return a >= b ? a : b; } inline int myMin(int a, int b) { return a <= b ? a : b; } class FU { vector<int> p; public: FU(int n) : p(n, -1) {} int f(int x) { int r = x; while (p[r] >= 0) r = p[r]; while (x != r) { int t = p[x]; p[x] = r; x = t; } return r; } bool u(int x, int y) { x = f(x); y = f(y); if (x == y) return false; if (p[x] <= p[y]) { p[x] += p[y]; p[y] = x; } else { p[y] += p[x]; p[x] = y; } return true; } }; bool solve() { int n = nextInt(); int m = nextInt(); int k = nextInt(); // unused? vector<int> color(n); unordered_map<int, vector<int>> vertexListByColor; unordered_map<int, int> groupCountByColor; for (int i = 0; i < n; ++i) { color[i] = nextInt(); vertexListByColor[color[i]].push_back(i); } vector<vector<int>> graph(n); for (int i = 0; i < m; ++i) { int a = nextInt() - 1; int b = nextInt() - 1; graph[a].push_back(b); graph[b].push_back(a); } vector<int> id(n, -1); unordered_map<int, set<int>> idByColor; unordered_map<int, vector<int>> vertexById; queue<int> todo; for (int i = 0; i < n; ++i) { if (id[i] >= 0) continue; vector<int>& vertexList = vertexById[i]; queue<int> q; q.push(i); id[i] = i; idByColor[color[i]].insert(i); while (!q.empty()) { int a = q.front(); q.pop(); vertexList.push_back(a); vector<int>& v = graph[a]; for (int j = 0; j < v.size(); ++j) { int b = v[j]; if (color[b] != color[i]) continue; if (id[b] >= 0) continue; q.push(b); id[b] = i; } } if (vertexList.size() == vertexListByColor[color[i]].size()) todo.push(i); ++groupCountByColor[color[i]]; } FU fu(n); int doneCount = 0; while (!todo.empty()) { ++doneCount; int curId = todo.front(); todo.pop(); vector<int>& vertexList = vertexListByColor[color[curId]]; unordered_map<int, set<int>> otoczkaIdsByColor; for (int i = 0; i < vertexList.size(); ++i) { int a = vertexList[i]; vector<int>& listaSasiadow = graph[a]; for (int j = 0; j < listaSasiadow.size(); ++j) { int b = listaSasiadow[j]; otoczkaIdsByColor[color[b]].insert(fu.f(id[b])); } } for (auto it = otoczkaIdsByColor.begin(); it != otoczkaIdsByColor.end(); ++it) { auto& idsList = it->second; if (idsList.size() <= 1) continue; int fstId = -1; for (auto it2 = idsList.begin(); it2 != idsList.end(); ++it2) { int curId = *it2; if (fstId < 0) { fstId = curId; continue; } fu.u(fstId, curId); --groupCountByColor[color[fstId]]; } if (groupCountByColor[color[fstId]] == 1) todo.push(fu.f(fstId)); } } return doneCount == vertexListByColor.size(); } int main() { int TC = nextInt(); for (int tc = 0; tc < TC; ++tc) { bool res = solve(); printf("%s\n", res ? "TAK" : "NIE"); } return 0; } |
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