This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//start-time: 2024-03-31 11:42:07
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
void solve(){
int N, K;
cin >> N >> K;
vector<vector<int>> tree(N);
for(int i = 0; i < N - 1; i++){
int u, v;
cin >> u >> v;
u--; v--;
tree[u].push_back(v);
tree[v].push_back(u);
}
if(K * K >= N){
cout << "DA\n";
return;
}
vector<vector<int>> depths(K + 1);
vector<array<int, 2>> intervals(N, {N + 1, 0});
int cnt = 0;
auto dfs = [&](int u, int p, int d, auto&& dfs) -> bool {
bool deepEnought = d == K;
if(deepEnought){
cnt++;
intervals[u][0] = cnt;
intervals[u][1] = cnt;
}
for(auto v : tree[u]){
if(v != p && d < K){
deepEnought |= dfs(v, u, d + 1, dfs);
if(deepEnought){
intervals[u][0] = min(intervals[v][0], intervals[u][0]);
intervals[u][1] = max(intervals[v][1], intervals[u][1]);
}
}
}
if(deepEnought)
depths[d].push_back(u);
return deepEnought;
};
dfs(0, -1, 0, dfs);
// max # covered with depths specified from mask
vector<int> dp(1 << K, 0);
dp[0] = 0;
for(int mask = 1; mask < (1 << K); mask++){
for(int depth = 0; depth < K; depth++){
if(mask & (1<<depth)){
int prev = dp[mask ^ (1<<depth)];
for(auto v : depths[depth + 1]){
auto [l, r] = intervals[v];
if(l <= prev + 1){
dp[mask] = max(dp[mask], r);
}
}
}
}
if(dp[mask] == cnt){
cout << "DA\n";
return;
}
}
cout << "NE\n";
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int T = 1;
//cin >> T;
while(T--) solve();
return 0;
}
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