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Submission #568119

# Submission time Handle Problem Language Result Execution time Memory
568119 2022-05-24T16:46:01 Z inluminas The Xana coup (BOI21_xanadu) C++17
100 / 100
 89 ms 15052 KB 
#include"bits/stdc++.h"
using namespace std;

#define ll long long
#define endl "\n"
#define fastio ios_base::sync_with_stdio(false)
#define inf LLONG_MAX
#define l first
#define r second

const ll lmt=1e5+10;
vector<ll>adj[lmt];
bool on[lmt];
ll dp[lmt][2][2];

void check(ll u,ll p,ll ver){
	bool tata=0;
	ll val=0,one=0;
	vector<ll>a;
	for(ll v:adj[u]){
		if(v==p) continue;

		if(dp[v][ver][1]==1e15 && dp[v][ver][0]==1e15){
			tata=1;
			break;
		}else if(dp[v][ver][0]==1e15){
			val+=dp[v][ver][1],one++;
		}else if(dp[v][ver][1]==1e15){
			val+=dp[v][ver][0];
		}else{
			val+=dp[v][ver][0];
			a.push_back(-dp[v][ver][0]+dp[v][ver][1]);
		}
	}
	if(tata) return;
	sort(a.begin(),a.end());
	dp[u][on[u]^((one+ver)%2)][ver]=min(dp[u][on[u]^((one+ver)%2)][ver],val+ver);
	for(ll x:a){
		val+=x,one++;
		dp[u][on[u]^((one+ver)%2)][ver]=min(dp[u][on[u]^((one+ver)%2)][ver],val+ver);
	}
	return;
}

void dfs(ll u,ll p){
	ll deg=0;
	for(ll v:adj[u]){
		if(v==p) continue;
		dfs(v,u);
		deg++;
	}
	if(!deg){
		dp[u][on[u]][0]=0,dp[u][on[u]^1][1]=1;
		//cout<<dp[u][0][0]<<" "<<dp[u][0][1]<<" "<<dp[u][1][0]<<" "<<dp[u][1][1]<<endl;
		return;
	}else{
		check(u,p,0);
		check(u,p,1);
	}
}

int main(){
	fastio;

	ll n;
	cin>>n;
	for(ll i=1;i<n;i++){
		ll u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}

	for(ll i=1;i<=n;i++){
		bool x;
		cin>>x;
		on[i]=x;
	}

	for(ll i=0;i<=n;i++){
		for(ll j=0;j<2;j++){
			for(ll k=0;k<2;k++){
				dp[i][j][k]=1e15;
			}
		}
	}

	dfs(1,-1);

	ll ans=min(dp[1][0][0],dp[1][0][1]);
	if(ans==1e15) cout<<"impossible"<<endl;
	else cout<<ans<<endl;
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2676 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 3 ms 2680 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 3 ms 2644 KB Output is correct
15 Correct 2 ms 2676 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 13648 KB Output is correct
2 Correct 51 ms 13516 KB Output is correct
3 Correct 50 ms 14924 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 13552 KB Output is correct
2 Correct 86 ms 13520 KB Output is correct
3 Correct 70 ms 15052 KB Output is correct
4 Correct 50 ms 10284 KB Output is correct
5 Correct 55 ms 10988 KB Output is correct
6 Correct 58 ms 11180 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 22 ms 5332 KB Output is correct
9 Correct 60 ms 10784 KB Output is correct
10 Correct 84 ms 10880 KB Output is correct
11 Correct 77 ms 11096 KB Output is correct
12 Correct 73 ms 11212 KB Output is correct
13 Correct 55 ms 10956 KB Output is correct
14 Correct 64 ms 11468 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2676 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 3 ms 2680 KB Output is correct
13 Correct 3 ms 2644 KB Output is correct
14 Correct 3 ms 2644 KB Output is correct
15 Correct 2 ms 2676 KB Output is correct
16 Correct 2 ms 2644 KB Output is correct
17 Correct 52 ms 13648 KB Output is correct
18 Correct 51 ms 13516 KB Output is correct
19 Correct 50 ms 14924 KB Output is correct
20 Correct 62 ms 13552 KB Output is correct
21 Correct 86 ms 13520 KB Output is correct
22 Correct 70 ms 15052 KB Output is correct
23 Correct 50 ms 10284 KB Output is correct
24 Correct 55 ms 10988 KB Output is correct
25 Correct 58 ms 11180 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 22 ms 5332 KB Output is correct
28 Correct 60 ms 10784 KB Output is correct
29 Correct 84 ms 10880 KB Output is correct
30 Correct 77 ms 11096 KB Output is correct
31 Correct 73 ms 11212 KB Output is correct
32 Correct 55 ms 10956 KB Output is correct
33 Correct 64 ms 11468 KB Output is correct
34 Correct 2 ms 2672 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 3 ms 2644 KB Output is correct
38 Correct 2 ms 2672 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 54 ms 14924 KB Output is correct
46 Correct 52 ms 14728 KB Output is correct
47 Correct 55 ms 14980 KB Output is correct
48 Correct 62 ms 10300 KB Output is correct
49 Correct 75 ms 11040 KB Output is correct
50 Correct 79 ms 11128 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct
52 Correct 17 ms 5416 KB Output is correct
53 Correct 77 ms 10864 KB Output is correct
54 Correct 75 ms 10828 KB Output is correct
55 Correct 74 ms 10908 KB Output is correct
56 Correct 80 ms 11212 KB Output is correct
57 Correct 64 ms 10984 KB Output is correct
58 Correct 89 ms 11468 KB Output is correct
59 Correct 20 ms 5360 KB Output is correct
60 Correct 52 ms 9952 KB Output is correct
61 Correct 68 ms 10700 KB Output is correct
62 Correct 78 ms 10860 KB Output is correct
63 Correct 82 ms 10900 KB Output is correct
64 Correct 79 ms 11016 KB Output is correct
65 Correct 53 ms 11336 KB Output is correct
66 Correct 53 ms 11424 KB Output is correct
67 Correct 67 ms 11056 KB Output is correct
68 Correct 48 ms 11060 KB Output is correct
69 Correct 41 ms 11092 KB Output is correct
70 Correct 43 ms 11068 KB Output is correct