This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <iostream>
#include <vector>
#define l first
#define r second
#include <climits>
using namespace std;
vector<pair<int,int>> intv(405, make_pair(INT_MAX,INT_MIN));
int range[1 << 20];
vector<int> nodesAtDepth[21];
vector<int> adj[405];
int leaf;
int N, K;
bool dfs(int node, int parent, int dep) {
if (dep == K) {
++leaf;
nodesAtDepth[dep].push_back(node);
intv[node] = {leaf,leaf};
return true;
}
bool valid = false;
for (auto child: adj[node]) {
if (child != parent) {
if ( dfs(child, node, dep+1) ) {
if (intv[child].l < intv[node].l) intv[node].l = intv[child].l;
if (intv[child].r > intv[node].r) intv[node].r = intv[child].r;
valid = true;
}
}
}
if (!valid) return false;
nodesAtDepth[dep].push_back(node);
return true;
}
int main() {
std::cin >> N >> K;
for (int e = 1; e <= N - 1; e++) {
int n1, n2;
cin >> n1 >> n2;
adj[n1].push_back(n2);
adj[n2].push_back(n1);
}
if (K * K >= N) {
cout << "DA" << endl;
return 0;
}
// find all leaf nodes
dfs(1, -1, 0);
range[0] = 0;
for (int mask = 1; mask < (1 << K); mask++) {
int curr = range[mask];
// go through each possible previous masks
for (int lastBit = 0; lastBit < K; lastBit++) {
if ((mask & (1 << lastBit)) != 0) {
int prev = range[mask & ~(1 << lastBit)];
// find the best node at given depth
for (int n : nodesAtDepth[lastBit + 1]) {
if (intv[n].first <= prev + 1) {
curr = std::max(curr, intv[n].second);
range[mask] = curr;
}
}
}
}
if (range[mask] == leaf) {
cout << "DA" << endl;
return 0;
}
}
cout << "NE" << endl;
}
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