# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1175895 | InvMOD | Burza (COCI16_burza) | C++20 | 14 ms | 1864 KiB |
#include<bits/stdc++.h>
using namespace std;
#define all(v) (v).begin(), (v).end()
void solve()
{
int n,k; cin >> n >> k;
vector<vector<int>> adj(n + 1, vector<int>());
for(int i = 0; i < n - 1; i++){
int u,v; cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
if(k * k >= n){
// each h should has >= k element to counter Daniel
cout << "DA\n";
return;
}
int cntLose = 0;
vector<int> tin(n + 1), tout(n + 1), h(n + 1);
vector<vector<int>> cover(n + 1, vector<int>());
function<void(int,int)> dfs = [&](int x, int p) -> void{
if(h[x] >= k - 1){
tin[x] = tout[x] = cntLose++;
cover[tin[x]].push_back(x);
}
else{
tin[x] = tout[x] = n + 1;
for(int v : adj[x])if(v != p){
h[v] = h[x] + 1;
dfs(v, x);
tin[x] = min(tin[x], tin[v]);
tout[x] = max(tout[x], tout[v]);
}
if(x != 1 && tin[x] <= n) cover[tin[x]].push_back(x);
}
};
h[1] = -1; dfs(1, -1);
/*
+ with each height we can only choose 1 element
+ choose an element x will cover form [tin[x] -> tout[x]]
*/
vector<vector<int>> dp(2, vector<int>((1 << k), -1));
dp[0][0] = 0;
for(int i = 0; i < cntLose; i++){
for(int mask = (1 << k) - 1; mask >= 0; mask--){
if(dp[0][mask] >= i){
for(int x : cover[i]){
assert(h[x] >= 0 && h[x] < k);
if(mask >> h[x] & 1) continue;
dp[1][mask | (1 << h[x])] = max(dp[1][mask | (1 << h[x])], max(dp[0][mask], tout[x] + 1));
}
}
}
swap(dp[0], dp[1]);
for(int mask = 0; mask < (1 << k); mask++) dp[1][mask] = -1;
}
cout << (*max_element(all(dp[0])) >= cntLose ? "DA" : "NE") << "\n";
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
#define name "InvMOD"
if(fopen(name".INP", "r")){
freopen(name".INP", "r", stdin);
freopen(name".OUT", "w", stdout);
}
solve();
return 0;
}
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