#include <bits/stdc++.h>
using namespace std;
#define vec vector
void dfs(int u, vec<bool> &vis, vec<vec<int>> &spojne, int curcolor, vec<int> &a, vec<vec<int>> &g, vec<int> &w) {
vis[u] = true;
w[u] = spojne.size() - 1;
for (int edge: g[u]) {
if (!vis[edge] and a[edge] == curcolor) {
dfs(edge, vis, spojne, curcolor, a, g, w);
}
else if (a[edge] != curcolor) {
spojne.back().push_back(edge);
}
}
}
void visdfs(int u, vec<int> &colors, vec<vec<int>> &g, int col) {
colors[u] = col;
for (int edge: g[u]) {
if (colors[edge] == -1) {
visdfs(edge, colors, g, col);
}
}
}
int main() {
int t; cin >> t;
while (t--) {
int n, m, k; cin >> n >> m >> k;
vec<int> a(n);
for (int i = 0; i < n; i++) {
cin >> a[i];
a[i] -- ;
}
vec<vec<int>> g(n);
for (int i = 0; i < m; i++) {
int u, v; cin >> u >> v;
u--;
v--;
g[u].push_back(v);
g[v].push_back(u);
}
vec<vec<int>> g2;
vec<int> col;
vec<bool> vis(n);
vec<int> w(n);
for (int i = 0; i < n; i++) {
if (!vis[i]) {
g2.push_back({});
col.push_back(a[i]);
dfs(i, vis, g2, a[i], a, g, w);
}
}
vec<int> r(g2.size());
for (int i = 0; i < g2.size(); i++) {
for (int &el: g2[i]) {
el = w[el];
}
}
vec<int> colors(g2.size(), -1);
int curcol = 0;
for (int i = 0; i < g2.size(); i++) {
if (colors[i] == -1) {
visdfs(i, colors, g2, curcol);
curcol ++;
}
}
vec<int> colfor(k, -1);
bool ok = true;
for (int i = 0; i < g2.size(); i++) {
if (colfor[col[i]] == -1) colfor[col[i]] = colors[i];
else if (colfor[col[i]] != colors[i]) {
ok = false;
break;
}
}
if (!ok) {
cout << "NIE\n";
continue;
}
for (int i = 0; i < g2.size(); i++) {
unordered_map<int, int> cnts;
unordered_set<int> vis;
for (int edge : g2[i]) {
if (vis.count(edge)) continue;
cnts[col[edge]]++;
vis.insert(edge);
}
for (int edge: g2[i]) {
if (cnts[col[edge]] >= 2) r[edge] ++;
}
}
queue<int> to;
for (int i = 0; i < g2.size(); i++) {
if (r[i] == 0) {
to.push(i);
}
}
while (!to.empty()) {
int u = to.front();
to.pop();
unordered_map<int, int> cnts;
unordered_set<int> vis;
for (int edge : g2[u]) {
if (vis.count(edge)) continue;
cnts[col[edge]]++;
vis.insert(edge);
}
for (int edge : g2[u]) {
if (cnts[col[edge]] >= 2) {
r[edge] --;
if (r[edge] == 0) to.push(edge);
}
}
}
bool any = false;
for (int i = 0; i < g2.size(); i++) if (r[i] != 0) any = true;
if (any) cout << "NIE\n";
else cout << "TAK\n";
}
}
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 | #include <bits/stdc++.h> using namespace std; #define vec vector void dfs(int u, vec<bool> &vis, vec<vec<int>> &spojne, int curcolor, vec<int> &a, vec<vec<int>> &g, vec<int> &w) { vis[u] = true; w[u] = spojne.size() - 1; for (int edge: g[u]) { if (!vis[edge] and a[edge] == curcolor) { dfs(edge, vis, spojne, curcolor, a, g, w); } else if (a[edge] != curcolor) { spojne.back().push_back(edge); } } } void visdfs(int u, vec<int> &colors, vec<vec<int>> &g, int col) { colors[u] = col; for (int edge: g[u]) { if (colors[edge] == -1) { visdfs(edge, colors, g, col); } } } int main() { int t; cin >> t; while (t--) { int n, m, k; cin >> n >> m >> k; vec<int> a(n); for (int i = 0; i < n; i++) { cin >> a[i]; a[i] -- ; } vec<vec<int>> g(n); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--; v--; g[u].push_back(v); g[v].push_back(u); } vec<vec<int>> g2; vec<int> col; vec<bool> vis(n); vec<int> w(n); for (int i = 0; i < n; i++) { if (!vis[i]) { g2.push_back({}); col.push_back(a[i]); dfs(i, vis, g2, a[i], a, g, w); } } vec<int> r(g2.size()); for (int i = 0; i < g2.size(); i++) { for (int &el: g2[i]) { el = w[el]; } } vec<int> colors(g2.size(), -1); int curcol = 0; for (int i = 0; i < g2.size(); i++) { if (colors[i] == -1) { visdfs(i, colors, g2, curcol); curcol ++; } } vec<int> colfor(k, -1); bool ok = true; for (int i = 0; i < g2.size(); i++) { if (colfor[col[i]] == -1) colfor[col[i]] = colors[i]; else if (colfor[col[i]] != colors[i]) { ok = false; break; } } if (!ok) { cout << "NIE\n"; continue; } for (int i = 0; i < g2.size(); i++) { unordered_map<int, int> cnts; unordered_set<int> vis; for (int edge : g2[i]) { if (vis.count(edge)) continue; cnts[col[edge]]++; vis.insert(edge); } for (int edge: g2[i]) { if (cnts[col[edge]] >= 2) r[edge] ++; } } queue<int> to; for (int i = 0; i < g2.size(); i++) { if (r[i] == 0) { to.push(i); } } while (!to.empty()) { int u = to.front(); to.pop(); unordered_map<int, int> cnts; unordered_set<int> vis; for (int edge : g2[u]) { if (vis.count(edge)) continue; cnts[col[edge]]++; vis.insert(edge); } for (int edge : g2[u]) { if (cnts[col[edge]] >= 2) { r[edge] --; if (r[edge] == 0) to.push(edge); } } } bool any = false; for (int i = 0; i < g2.size(); i++) if (r[i] != 0) any = true; if (any) cout << "NIE\n"; else cout << "TAK\n"; } } |
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