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Submission #405641

# Submission time Handle Problem Language Result Execution time Memory
405641 2021-05-16T15:51:40 Z AmineWeslati The Xana coup (BOI21_xanadu) C++14
100 / 100
 239 ms 31144 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<int>vi;
#define pb push_back
#define sz(v) (int)v.size()
#define all(x) begin(x),end(x)

#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--)

void IO(){
#ifdef LOCAL
	freopen("input.txt","r",stdin);
	freopen("output.txt","w",stdout);

#endif
}
//-----------------------------------------

void ckmin(int &x, int y){
	x=min(x,y);
}

const int INF=1e9;
const int MX=1e5+10;
int N,memo[MX][2][2]; 
vi a(MX),adj[MX];

int solve(int u, int p, int i, int j){
	int &ind=memo[u][i][j];
	if(ind!=-1) return ind; 
	
	vi val(2,0); val[1]=INF; 
	for(int v: adj[u]) if(v!=p){
		vi new_val(2,INF);
		ckmin(new_val[0],val[1]+solve(v,u,j,1));
		ckmin(new_val[1],val[0]+solve(v,u,j,1));

		ckmin(new_val[0],val[0]+solve(v,u,j,0));
		ckmin(new_val[1],val[1]+solve(v,u,j,0));

		val.assign(all(new_val));
	}

	int state=((a[u]^i)^j); 
	int ans=j+val[state];

	return ind=ans; 
}

int main(){
	IO();

	cin>>N;
	FOR(i,0,N-1){
		int u,v; cin>>u>>v;
		adj[u].pb(v); 
		adj[v].pb(u);
	}
	FOR(i,1,N+1) cin>>a[i];

	memset(memo,-1,sizeof(memo));
	int ans=min(solve(1,1,0,1),solve(1,1,0,0)); 
	if(ans>=INF) cout << "impossible" << endl;
	else cout << ans << endl;

}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4556 KB Output is correct
2 Correct 3 ms 4556 KB Output is correct
3 Correct 3 ms 4556 KB Output is correct
4 Correct 3 ms 4556 KB Output is correct
5 Correct 3 ms 4556 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4556 KB Output is correct
2 Correct 3 ms 4556 KB Output is correct
3 Correct 3 ms 4556 KB Output is correct
4 Correct 3 ms 4556 KB Output is correct
5 Correct 3 ms 4556 KB Output is correct
6 Correct 3 ms 4556 KB Output is correct
7 Correct 3 ms 4556 KB Output is correct
8 Correct 3 ms 4556 KB Output is correct
9 Correct 3 ms 4556 KB Output is correct
10 Correct 3 ms 4556 KB Output is correct
11 Correct 3 ms 4556 KB Output is correct
12 Correct 3 ms 4556 KB Output is correct
13 Correct 3 ms 4556 KB Output is correct
14 Correct 3 ms 4556 KB Output is correct
15 Correct 3 ms 4556 KB Output is correct
16 Correct 3 ms 4556 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 216 ms 30960 KB Output is correct
2 Correct 200 ms 30788 KB Output is correct
3 Correct 222 ms 31144 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 31044 KB Output is correct
2 Correct 201 ms 30764 KB Output is correct
3 Correct 212 ms 31120 KB Output is correct
4 Correct 187 ms 7300 KB Output is correct
5 Correct 216 ms 7632 KB Output is correct
6 Correct 204 ms 7636 KB Output is correct
7 Correct 4 ms 4556 KB Output is correct
8 Correct 51 ms 5764 KB Output is correct
9 Correct 224 ms 8048 KB Output is correct
10 Correct 210 ms 7932 KB Output is correct
11 Correct 184 ms 9540 KB Output is correct
12 Correct 207 ms 9824 KB Output is correct
13 Correct 195 ms 7448 KB Output is correct
14 Correct 209 ms 7724 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4556 KB Output is correct
2 Correct 3 ms 4556 KB Output is correct
3 Correct 3 ms 4556 KB Output is correct
4 Correct 3 ms 4556 KB Output is correct
5 Correct 3 ms 4556 KB Output is correct
6 Correct 3 ms 4556 KB Output is correct
7 Correct 3 ms 4556 KB Output is correct
8 Correct 3 ms 4556 KB Output is correct
9 Correct 3 ms 4556 KB Output is correct
10 Correct 3 ms 4556 KB Output is correct
11 Correct 3 ms 4556 KB Output is correct
12 Correct 3 ms 4556 KB Output is correct
13 Correct 3 ms 4556 KB Output is correct
14 Correct 3 ms 4556 KB Output is correct
15 Correct 3 ms 4556 KB Output is correct
16 Correct 3 ms 4556 KB Output is correct
17 Correct 216 ms 30960 KB Output is correct
18 Correct 200 ms 30788 KB Output is correct
19 Correct 222 ms 31144 KB Output is correct
20 Correct 204 ms 31044 KB Output is correct
21 Correct 201 ms 30764 KB Output is correct
22 Correct 212 ms 31120 KB Output is correct
23 Correct 187 ms 7300 KB Output is correct
24 Correct 216 ms 7632 KB Output is correct
25 Correct 204 ms 7636 KB Output is correct
26 Correct 4 ms 4556 KB Output is correct
27 Correct 51 ms 5764 KB Output is correct
28 Correct 224 ms 8048 KB Output is correct
29 Correct 210 ms 7932 KB Output is correct
30 Correct 184 ms 9540 KB Output is correct
31 Correct 207 ms 9824 KB Output is correct
32 Correct 195 ms 7448 KB Output is correct
33 Correct 209 ms 7724 KB Output is correct
34 Correct 3 ms 4556 KB Output is correct
35 Correct 3 ms 4556 KB Output is correct
36 Correct 3 ms 4584 KB Output is correct
37 Correct 4 ms 4556 KB Output is correct
38 Correct 3 ms 4556 KB Output is correct
39 Correct 4 ms 4556 KB Output is correct
40 Correct 4 ms 4556 KB Output is correct
41 Correct 3 ms 4556 KB Output is correct
42 Correct 3 ms 4556 KB Output is correct
43 Correct 3 ms 4556 KB Output is correct
44 Correct 3 ms 4556 KB Output is correct
45 Correct 219 ms 30948 KB Output is correct
46 Correct 177 ms 30788 KB Output is correct
47 Correct 168 ms 31120 KB Output is correct
48 Correct 212 ms 7368 KB Output is correct
49 Correct 168 ms 7560 KB Output is correct
50 Correct 157 ms 7672 KB Output is correct
51 Correct 4 ms 4556 KB Output is correct
52 Correct 72 ms 5824 KB Output is correct
53 Correct 157 ms 8004 KB Output is correct
54 Correct 184 ms 8208 KB Output is correct
55 Correct 206 ms 9680 KB Output is correct
56 Correct 176 ms 9948 KB Output is correct
57 Correct 201 ms 7660 KB Output is correct
58 Correct 239 ms 7796 KB Output is correct
59 Correct 83 ms 6080 KB Output is correct
60 Correct 150 ms 8476 KB Output is correct
61 Correct 194 ms 8756 KB Output is correct
62 Correct 235 ms 8852 KB Output is correct
63 Correct 214 ms 8968 KB Output is correct
64 Correct 206 ms 8852 KB Output is correct
65 Correct 191 ms 9164 KB Output is correct
66 Correct 179 ms 9232 KB Output is correct
67 Correct 172 ms 9152 KB Output is correct
68 Correct 149 ms 9132 KB Output is correct
69 Correct 182 ms 9132 KB Output is correct
70 Correct 196 ms 9052 KB Output is correct