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>
#include <random>
using namespace std;
using ll = long long;
using pl = pair<ll, ll>;
using pi = pair<int, int>;
#define vt vector
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(), x.end()
#define size(x) ((int) (x).size())
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define F0R(i, b) FOR (i, 0, b)
#define endl '\n'
const ll INF = 1e18;
const int inf = 1e9;
template<template<typename> class Container, typename T>
ostream& operator<<(ostream& os, Container<T> o) {
os << "{";
int g = size(o);
for (auto i : o) os << i << ((--g) == 0 ? "" : ", ");
os << "}";
return os;
}
void _print() {
cerr << "\n";
}
template<typename T, typename ...V>
void _print(T t, V... v) {
cerr << t; if (sizeof...(v)) cerr << ", "; _print(v...);
}
#ifdef LOCAL
#define dbg(x...) cerr << #x << " = "; _print(x);
#else
#define dbg(x...)
#define cerr if (0) std::cerr
#endif
/*
you want to stop the coin from taking a path of length k
you only block off nodes at the same depth as the turn number
ie you block off one of the immediate subtrees
hence, you block off one node at depths 1, 2, 3, ... k
take dfs order
let dp[i][j][k] be the max # of depth k nodes u can block off
in i's subtree using depths only in the range [j, k]
if you take the current node (and its allowed) you split the range and take the sum of the dps in its next sibling (or next node, if non exists)
otherwise, you go into the next node
*/
int n, k, t;
vt<vt<int>> adj;
vt<int> depth, pos, jump, val, rpos;
void dfs(int u, int p = -1) {
pos[u] = t++;
if (depth[u] == k) val[u] = 1;
for (int v : adj[u]) {
if (v == p) continue;
depth[v] = depth[u] + 1;
dfs(v, u);
val[u] += val[v];
}
jump[u] = t;
}
int memo[400][400][400];
int dp(int i, int l, int r) {
if (i == n) return 0;
if (l > r) return 0;
if (memo[i][l][r] != -1) return memo[i][l][r];
int u = rpos[i]; // get the actual node index at this position
int ans = 0;
if (l <= depth[i] && depth[i] <= r) { // allowed to take yourself
ans = val[u] + dp(jump[u], l, depth[u] - 1) + dp(jump[u], depth[u] + 1, r);
}
ans = max(ans, dp(i + 1, l, r));
return memo[i][l][r] = ans;
}
main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> k;
adj.resize(n);
depth = pos = jump = val = rpos = vt<int>(n, 0);
F0R (i, n - 1) {
int u, v; cin >> u >> v;
u--, v--;
adj[u].pb(v);
adj[v].pb(u);
}
dfs(0);
F0R (i, n) rpos[pos[i]] = i;
memset(memo, -1, sizeof(memo));
dbg(depth);
dbg(pos);
dbg(jump);
dbg(val);
dbg(rpos);
cout << (dp(0, 1, k) == val[0] ? "DA" : "NE") << endl;
}
Compilation message (stderr)
burza.cpp:97:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
97 | main() {
| ^~~~
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