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Submission #405643

# Submission time Handle Problem Language Result Execution time Memory
405643 2021-05-16T15:52:31 Z AmineWeslati The Xana coup (BOI21_xanadu) C++14
100 / 100
 253 ms 32208 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,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 4588 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 4588 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 4564 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 4588 KB Output is correct
14 Correct 3 ms 4588 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 183 ms 32016 KB Output is correct
2 Correct 235 ms 31668 KB Output is correct
3 Correct 216 ms 32148 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 187 ms 32052 KB Output is correct
2 Correct 175 ms 31752 KB Output is correct
3 Correct 219 ms 32160 KB Output is correct
4 Correct 164 ms 8368 KB Output is correct
5 Correct 219 ms 8568 KB Output is correct
6 Correct 200 ms 8792 KB Output is correct
7 Correct 4 ms 4556 KB Output is correct
8 Correct 71 ms 6248 KB Output is correct
9 Correct 225 ms 9000 KB Output is correct
10 Correct 183 ms 9032 KB Output is correct
11 Correct 218 ms 10572 KB Output is correct
12 Correct 227 ms 10852 KB Output is correct
13 Correct 225 ms 8556 KB Output is correct
14 Correct 253 ms 8640 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 4588 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 4564 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 4588 KB Output is correct
14 Correct 3 ms 4588 KB Output is correct
15 Correct 3 ms 4556 KB Output is correct
16 Correct 3 ms 4556 KB Output is correct
17 Correct 183 ms 32016 KB Output is correct
18 Correct 235 ms 31668 KB Output is correct
19 Correct 216 ms 32148 KB Output is correct
20 Correct 187 ms 32052 KB Output is correct
21 Correct 175 ms 31752 KB Output is correct
22 Correct 219 ms 32160 KB Output is correct
23 Correct 164 ms 8368 KB Output is correct
24 Correct 219 ms 8568 KB Output is correct
25 Correct 200 ms 8792 KB Output is correct
26 Correct 4 ms 4556 KB Output is correct
27 Correct 71 ms 6248 KB Output is correct
28 Correct 225 ms 9000 KB Output is correct
29 Correct 183 ms 9032 KB Output is correct
30 Correct 218 ms 10572 KB Output is correct
31 Correct 227 ms 10852 KB Output is correct
32 Correct 225 ms 8556 KB Output is correct
33 Correct 253 ms 8640 KB Output is correct
34 Correct 3 ms 4584 KB Output is correct
35 Correct 4 ms 4556 KB Output is correct
36 Correct 3 ms 4556 KB Output is correct
37 Correct 3 ms 4556 KB Output is correct
38 Correct 3 ms 4556 KB Output is correct
39 Correct 3 ms 4556 KB Output is correct
40 Correct 3 ms 4556 KB Output is correct
41 Correct 3 ms 4588 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 215 ms 32024 KB Output is correct
46 Correct 188 ms 31836 KB Output is correct
47 Correct 215 ms 32208 KB Output is correct
48 Correct 177 ms 8388 KB Output is correct
49 Correct 200 ms 8604 KB Output is correct
50 Correct 193 ms 8740 KB Output is correct
51 Correct 4 ms 4556 KB Output is correct
52 Correct 77 ms 6128 KB Output is correct
53 Correct 179 ms 8884 KB Output is correct
54 Correct 216 ms 9024 KB Output is correct
55 Correct 175 ms 10564 KB Output is correct
56 Correct 238 ms 10924 KB Output is correct
57 Correct 208 ms 8556 KB Output is correct
58 Correct 215 ms 8644 KB Output is correct
59 Correct 71 ms 5732 KB Output is correct
60 Correct 193 ms 7580 KB Output is correct
61 Correct 216 ms 7764 KB Output is correct
62 Correct 180 ms 7848 KB Output is correct
63 Correct 196 ms 7848 KB Output is correct
64 Correct 191 ms 7932 KB Output is correct
65 Correct 229 ms 8148 KB Output is correct
66 Correct 217 ms 8192 KB Output is correct
67 Correct 171 ms 8200 KB Output is correct
68 Correct 179 ms 8116 KB Output is correct
69 Correct 180 ms 8116 KB Output is correct
70 Correct 199 ms 8132 KB Output is correct