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 <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#define DEBUG(...) debug(#__VA_ARGS__, __VA_ARGS__)
#else
#define DEBUG(...) 6
#endif
template<typename T, typename S> ostream& operator << (ostream &os, const pair<T, S> &p) {return os << "(" << p.first << ", " << p.second << ")";}
template<typename C, typename T = decay<decltype(*begin(declval<C>()))>, typename enable_if<!is_same<C, string>::value>::type* = nullptr>
ostream& operator << (ostream &os, const C &c) {bool f = true; os << "["; for (const auto &x : c) {if (!f) os << ", "; f = false; os << x;} return os << "]";}
template<typename T> void debug(string s, T x) {cerr << "\033[1;35m" << s << "\033[0;32m = \033[33m" << x << "\033[0m\n";}
template<typename T, typename... Args> void debug(string s, T x, Args... args) {for (int i=0, b=0; i<(int)s.size(); i++) if (s[i] == '(' || s[i] == '{') b++; else
if (s[i] == ')' || s[i] == '}') b--; else if (s[i] == ',' && b == 0) {cerr << "\033[1;35m" << s.substr(0, i) << "\033[0;32m = \033[33m" << x << "\033[31m | "; debug(s.substr(s.find_first_not_of(' ', i + 1)), args...); break;}}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, k;
cin >> n >> k;
vector<vector<int>> adj(n);
for (int i=0; i<n-1; i++) {
int a, b;
cin >> a >> b;
a--, b--;
adj[a].push_back(b);
adj[b].push_back(a);
}
if (k * k >= n) {
cout << "DA\n";
return 0;
}
int ti = 0;
vector<pair<int, int>> cover(n);
vector<vector<int>> nodes(k);
auto dfs = [&] (auto &self, int u, int p, int d) -> void {
if (d == k) {
ti++;
cover[u] = {ti, ti};
nodes[k-1].push_back(u);
return;
}
cover[u] = {INT_MAX, INT_MIN};
for (int v : adj[u])
if (v != p) {
self(self, v, u, d + 1);
cover[u].first = min(cover[u].first, cover[v].first);
cover[u].second = max(cover[u].second, cover[v].second);
}
if (d > 0 && cover[u].first != INT_MAX)
nodes[d-1].push_back(u);
};
dfs(dfs, 0, -1, 0);
vector<int> dp(1 << k);
for (int mask=0; mask<1<<k; mask++) {
for (int i=0; i<k; i++)
if (~mask >> i & 1)
for (int u : nodes[i])
if (cover[u].first <= dp[mask] + 1)
dp[mask|(1<<i)] = max(dp[mask|(1<<i)], cover[u].second);
if (dp[mask] == ti) {
cout << "DA\n";
return 0;
}
}
cout << "NE\n";
return 0;
}
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