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Submission #677171

# Submission time Handle Problem Language Result Execution time Memory
677171 2023-01-02T13:41:26 Z amirhoseinfar1385 The Xana coup (BOI21_xanadu) C++17
100 / 100
 86 ms 22212 KB 
#include<bits/stdc++.h>
using namespace std;
vector<vector<long long>>adj;
long long n;
const int maxn=100000+5;
long long dp[2][2][maxn],fake[2][2][maxn];
vector<long long>all;
long long inf=1e9+5;

void solve(long long u=1,long long par=0){
	int cnt=0;
	if(all[u]==1){
		dp[0][1][u]=0;
		dp[1][0][u]=1;
		dp[0][0][u]=inf;
		dp[1][1][u]=inf;
	}
	else{
		dp[0][0][u]=0;
		dp[1][1][u]=1;
		dp[0][1][u]=inf;
		dp[1][0][u]=inf;
	}
	for(auto x:adj[u]){
		if(x!=par){
			cnt++;
			solve(x,u);
			fake[0][0][u]=min(dp[0][0][u]+dp[0][0][x],dp[0][1][u]+dp[1][0][x]);
			fake[0][1][u]=min(dp[0][1][u]+dp[0][0][x],dp[0][0][u]+dp[1][0][x]);
			fake[1][0][u]=min(dp[1][0][u]+dp[0][1][x],dp[1][1][u]+dp[1][1][x]);
			fake[1][1][u]=min(dp[1][1][u]+dp[0][1][x],dp[1][0][u]+dp[1][1][x]);
			dp[0][0][u]=fake[0][0][u];
			dp[1][0][u]=fake[1][0][u];
			dp[0][1][u]=fake[0][1][u];
			dp[1][1][u]=fake[1][1][u];
		}
	}
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin>>n;
	all.resize(n+1);
	adj.resize(n+1);
	for(long long i=1;i<=n-1;i++){
		long long u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	for(long long i=1;i<=n;i++){
		cin>>all[i];
	}
	solve(1);
	long long res=min(dp[1][0][1],dp[0][0][1]);
	if(res>=1e9+5){
		cout<<"impossible"<<endl;
		return 0;
	}
	cout<<res<<endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 53 ms 22048 KB Output is correct
2 Correct 47 ms 21764 KB Output is correct
3 Correct 47 ms 22212 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 22144 KB Output is correct
2 Correct 47 ms 21848 KB Output is correct
3 Correct 67 ms 22200 KB Output is correct
4 Correct 65 ms 12332 KB Output is correct
5 Correct 64 ms 13360 KB Output is correct
6 Correct 57 ms 13720 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 14 ms 4692 KB Output is correct
9 Correct 60 ms 13240 KB Output is correct
10 Correct 59 ms 13424 KB Output is correct
11 Correct 69 ms 13780 KB Output is correct
12 Correct 61 ms 14072 KB Output is correct
13 Correct 60 ms 13144 KB Output is correct
14 Correct 75 ms 14024 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 53 ms 22048 KB Output is correct
18 Correct 47 ms 21764 KB Output is correct
19 Correct 47 ms 22212 KB Output is correct
20 Correct 56 ms 22144 KB Output is correct
21 Correct 47 ms 21848 KB Output is correct
22 Correct 67 ms 22200 KB Output is correct
23 Correct 65 ms 12332 KB Output is correct
24 Correct 64 ms 13360 KB Output is correct
25 Correct 57 ms 13720 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 14 ms 4692 KB Output is correct
28 Correct 60 ms 13240 KB Output is correct
29 Correct 59 ms 13424 KB Output is correct
30 Correct 69 ms 13780 KB Output is correct
31 Correct 61 ms 14072 KB Output is correct
32 Correct 60 ms 13144 KB Output is correct
33 Correct 75 ms 14024 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 0 ms 340 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 0 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 46 ms 22048 KB Output is correct
46 Correct 46 ms 21836 KB Output is correct
47 Correct 71 ms 22144 KB Output is correct
48 Correct 65 ms 12328 KB Output is correct
49 Correct 86 ms 13480 KB Output is correct
50 Correct 67 ms 13732 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 14 ms 4700 KB Output is correct
53 Correct 60 ms 13292 KB Output is correct
54 Correct 59 ms 13492 KB Output is correct
55 Correct 62 ms 13696 KB Output is correct
56 Correct 61 ms 14136 KB Output is correct
57 Correct 54 ms 13136 KB Output is correct
58 Correct 55 ms 14028 KB Output is correct
59 Correct 18 ms 4692 KB Output is correct
60 Correct 78 ms 11964 KB Output is correct
61 Correct 55 ms 13156 KB Output is correct
62 Correct 56 ms 13364 KB Output is correct
63 Correct 66 ms 13392 KB Output is correct
64 Correct 67 ms 13416 KB Output is correct
65 Correct 47 ms 13796 KB Output is correct
66 Correct 45 ms 13908 KB Output is correct
67 Correct 35 ms 10472 KB Output is correct
68 Correct 36 ms 10456 KB Output is correct
69 Correct 36 ms 10456 KB Output is correct
70 Correct 36 ms 10496 KB Output is correct