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Submission #528360

# Submission time Handle Problem Language Result Execution time Memory
528360 2022-02-20T07:17:10 Z fatemetmhr The Xana coup (BOI21_xanadu) C++17
100 / 100
 96 ms 38028 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int maxn5 = 1e6 + 10;

#define pb push_back

// dp[node][rangesh][khodesh zade shode ya na]

int dp[maxn5][2][2];
vector <int> adj[maxn5];
int ty[maxn5];

inline void dfs(int v, int par){

	dp[v][0][0] = dp[v][0][1] = dp[v][1][0] = dp[v][1][1] = maxn5;
	
	if(adj[v].size() == 1 && par != -1){
		dp[v][ty[v]][0] = 0;
		dp[v][ty[v]^1][1] = 1;
		return;
	}
	// dp[v][hame 0/1][tedad zoj ya fard]
	
	dp[v][0][0] = dp[v][1][0] = 0;
	
	for(auto u : adj[v]) if(u != par){
		dfs(u, v);
		int x = dp[v][0][0], y = dp[v][0][1];
		dp[v][0][0] = min({maxn5, x + dp[u][0][0], y + dp[u][0][1]});
		dp[v][0][1] = min({maxn5, x + dp[u][0][1], y + dp[u][0][0]});
		x = dp[v][1][0]; y = dp[v][1][1];
		dp[v][1][0] = min({maxn5, x + dp[u][1][0], y + dp[u][1][1]});
		dp[v][1][1] = min({maxn5, x + dp[u][1][1], y + dp[u][1][0]});
	}
	
	int a = dp[v][0][0], b = dp[v][0][1], c = dp[v][1][0], d = dp[v][1][1];
	dp[v][ty[v]][0] = a;
	dp[v][ty[v]][1] = d + 1;
	dp[v][ty[v]^1][0] = b;
	dp[v][ty[v]^1][1] = c + 1;
	//cout << v << ' ' << par << ' ' << dp[v][0][0] << ' ' << dp[v][0][1] << ' ' << dp[v][1][0] << ' '<< dp[v][1][1] << endl;
	return;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	
	int n; cin >> n;
	for(int i = 0; i < n - 1; i++){
		int a, b; cin >> a >> b;
		a--; b--;
		adj[a].pb(b);
		adj[b].pb(a);
	}
	
	for(int i = 0; i < n; i++)
		cin >> ty[i];
	
	dfs(0, -1);
	ll ans = min(dp[0][0][0], dp[0][0][1]);
	if(ans > n)
		cout <<  "impossible\n";
	else
		cout << ans << endl;
	
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23760 KB Output is correct
3 Correct 15 ms 23760 KB Output is correct
4 Correct 12 ms 23716 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23760 KB Output is correct
3 Correct 15 ms 23760 KB Output is correct
4 Correct 12 ms 23716 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 12 ms 23740 KB Output is correct
7 Correct 12 ms 23760 KB Output is correct
8 Correct 12 ms 23724 KB Output is correct
9 Correct 13 ms 23760 KB Output is correct
10 Correct 12 ms 23820 KB Output is correct
11 Correct 12 ms 23760 KB Output is correct
12 Correct 13 ms 23824 KB Output is correct
13 Correct 13 ms 23708 KB Output is correct
14 Correct 13 ms 23704 KB Output is correct
15 Correct 12 ms 23760 KB Output is correct
16 Correct 14 ms 23824 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 37948 KB Output is correct
2 Correct 66 ms 37708 KB Output is correct
3 Correct 70 ms 37960 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 56 ms 37904 KB Output is correct
2 Correct 64 ms 37888 KB Output is correct
3 Correct 65 ms 37996 KB Output is correct
4 Correct 70 ms 29436 KB Output is correct
5 Correct 68 ms 30096 KB Output is correct
6 Correct 62 ms 30240 KB Output is correct
7 Correct 13 ms 23760 KB Output is correct
8 Correct 26 ms 25928 KB Output is correct
9 Correct 96 ms 30096 KB Output is correct
10 Correct 74 ms 30284 KB Output is correct
11 Correct 60 ms 30652 KB Output is correct
12 Correct 73 ms 30872 KB Output is correct
13 Correct 67 ms 29732 KB Output is correct
14 Correct 54 ms 30248 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 23760 KB Output is correct
2 Correct 13 ms 23760 KB Output is correct
3 Correct 15 ms 23760 KB Output is correct
4 Correct 12 ms 23716 KB Output is correct
5 Correct 14 ms 23764 KB Output is correct
6 Correct 12 ms 23740 KB Output is correct
7 Correct 12 ms 23760 KB Output is correct
8 Correct 12 ms 23724 KB Output is correct
9 Correct 13 ms 23760 KB Output is correct
10 Correct 12 ms 23820 KB Output is correct
11 Correct 12 ms 23760 KB Output is correct
12 Correct 13 ms 23824 KB Output is correct
13 Correct 13 ms 23708 KB Output is correct
14 Correct 13 ms 23704 KB Output is correct
15 Correct 12 ms 23760 KB Output is correct
16 Correct 14 ms 23824 KB Output is correct
17 Correct 64 ms 37948 KB Output is correct
18 Correct 66 ms 37708 KB Output is correct
19 Correct 70 ms 37960 KB Output is correct
20 Correct 56 ms 37904 KB Output is correct
21 Correct 64 ms 37888 KB Output is correct
22 Correct 65 ms 37996 KB Output is correct
23 Correct 70 ms 29436 KB Output is correct
24 Correct 68 ms 30096 KB Output is correct
25 Correct 62 ms 30240 KB Output is correct
26 Correct 13 ms 23760 KB Output is correct
27 Correct 26 ms 25928 KB Output is correct
28 Correct 96 ms 30096 KB Output is correct
29 Correct 74 ms 30284 KB Output is correct
30 Correct 60 ms 30652 KB Output is correct
31 Correct 73 ms 30872 KB Output is correct
32 Correct 67 ms 29732 KB Output is correct
33 Correct 54 ms 30248 KB Output is correct
34 Correct 12 ms 23800 KB Output is correct
35 Correct 12 ms 23760 KB Output is correct
36 Correct 12 ms 23824 KB Output is correct
37 Correct 12 ms 23760 KB Output is correct
38 Correct 14 ms 23824 KB Output is correct
39 Correct 12 ms 23760 KB Output is correct
40 Correct 12 ms 23760 KB Output is correct
41 Correct 12 ms 23796 KB Output is correct
42 Correct 12 ms 23760 KB Output is correct
43 Correct 13 ms 23828 KB Output is correct
44 Correct 13 ms 23760 KB Output is correct
45 Correct 60 ms 37936 KB Output is correct
46 Correct 60 ms 37736 KB Output is correct
47 Correct 82 ms 38028 KB Output is correct
48 Correct 52 ms 29612 KB Output is correct
49 Correct 65 ms 30008 KB Output is correct
50 Correct 58 ms 30228 KB Output is correct
51 Correct 12 ms 23760 KB Output is correct
52 Correct 26 ms 25968 KB Output is correct
53 Correct 58 ms 30100 KB Output is correct
54 Correct 64 ms 30408 KB Output is correct
55 Correct 92 ms 30664 KB Output is correct
56 Correct 86 ms 30964 KB Output is correct
57 Correct 52 ms 29836 KB Output is correct
58 Correct 55 ms 30160 KB Output is correct
59 Correct 25 ms 25944 KB Output is correct
60 Correct 63 ms 29572 KB Output is correct
61 Correct 80 ms 30140 KB Output is correct
62 Correct 60 ms 30280 KB Output is correct
63 Correct 59 ms 30316 KB Output is correct
64 Correct 58 ms 30220 KB Output is correct
65 Correct 54 ms 30764 KB Output is correct
66 Correct 59 ms 30712 KB Output is correct
67 Correct 53 ms 30660 KB Output is correct
68 Correct 46 ms 30648 KB Output is correct
69 Correct 44 ms 30656 KB Output is correct
70 Correct 47 ms 30648 KB Output is correct