#include <bits/stdc++.h>
using namespace std;
struct Tree
{
struct Node
{
vector<size_t> neighbors;
};
size_t size;
vector<Node> nodes;
};
struct TestCase
{
Tree tree;
vector<bool> initial_coloring;
vector<bool> desired_coloring;
};
TestCase read_test_case();
void solve_test_case(TestCase);
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
size_t test_case_count;
cin >> test_case_count;
while (test_case_count--) solve_test_case(read_test_case());
}
TestCase read_test_case()
{
TestCase tc;
cin >> tc.tree.size;
tc.initial_coloring.resize(tc.tree.size);
tc.desired_coloring.resize(tc.tree.size);
tc.tree.nodes.resize(tc.tree.size);
string initial;
cin >> initial;
for (size_t i = 0; i < tc.tree.size; i++)
tc.initial_coloring[i] = initial[i] == '1';
string desired;
cin >> desired;
for (size_t i = 0; i < tc.tree.size; i++)
tc.desired_coloring[i] = desired[i] == '1';
for (size_t _ = 0; _ < tc.tree.size - 1; _++)
{
size_t a, b;
cin >> a >> b;
a--;
b--;
tc.tree.nodes[a].neighbors.push_back(b);
tc.tree.nodes[b].neighbors.push_back(a);
}
return tc;
}
typedef map<vector<bool>, bool> Visited;
bool dfs(
const Tree& tree, vector<bool>& coloring,
const vector<bool>& desired_coloring, Visited& visited)
{
if (coloring == desired_coloring) return true;
if (visited[coloring]) return false;
visited[coloring] = true;
for (size_t i = 0; i < tree.size; i++)
for (size_t j : tree.nodes[i].neighbors)
{
if (coloring[j] != coloring[i])
{
bool c = coloring[j];
coloring[j] = coloring[i];
if (dfs(tree, coloring, desired_coloring, visited)) return true;
coloring[j] = c;
}
}
return false;
}
void solve_test_case(TestCase tc)
{
Visited v;
if (dfs(tc.tree, tc.initial_coloring, tc.desired_coloring, v))
cout << "TAK\n";
else
cout << "NIE\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 | #include <bits/stdc++.h> using namespace std; struct Tree { struct Node { vector<size_t> neighbors; }; size_t size; vector<Node> nodes; }; struct TestCase { Tree tree; vector<bool> initial_coloring; vector<bool> desired_coloring; }; TestCase read_test_case(); void solve_test_case(TestCase); int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); size_t test_case_count; cin >> test_case_count; while (test_case_count--) solve_test_case(read_test_case()); } TestCase read_test_case() { TestCase tc; cin >> tc.tree.size; tc.initial_coloring.resize(tc.tree.size); tc.desired_coloring.resize(tc.tree.size); tc.tree.nodes.resize(tc.tree.size); string initial; cin >> initial; for (size_t i = 0; i < tc.tree.size; i++) tc.initial_coloring[i] = initial[i] == '1'; string desired; cin >> desired; for (size_t i = 0; i < tc.tree.size; i++) tc.desired_coloring[i] = desired[i] == '1'; for (size_t _ = 0; _ < tc.tree.size - 1; _++) { size_t a, b; cin >> a >> b; a--; b--; tc.tree.nodes[a].neighbors.push_back(b); tc.tree.nodes[b].neighbors.push_back(a); } return tc; } typedef map<vector<bool>, bool> Visited; bool dfs( const Tree& tree, vector<bool>& coloring, const vector<bool>& desired_coloring, Visited& visited) { if (coloring == desired_coloring) return true; if (visited[coloring]) return false; visited[coloring] = true; for (size_t i = 0; i < tree.size; i++) for (size_t j : tree.nodes[i].neighbors) { if (coloring[j] != coloring[i]) { bool c = coloring[j]; coloring[j] = coloring[i]; if (dfs(tree, coloring, desired_coloring, visited)) return true; coloring[j] = c; } } return false; } void solve_test_case(TestCase tc) { Visited v; if (dfs(tc.tree, tc.initial_coloring, tc.desired_coloring, v)) cout << "TAK\n"; else cout << "NIE\n"; } |
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