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Submission #398573

# Submission time Handle Problem Language Result Execution time Memory
398573 2021-05-04T14:51:03 Z jlallas384 The Xana coup (BOI21_xanadu) C++17
100 / 100
 124 ms 25148 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
 
const int N = 100100;
ll dp[N][2][2],col[N];
vector<int> g[N];
 
ll f(int v,int p,int c,int flp){
    if(dp[v][c][flp] != -1) return dp[v][c][flp];
    vector<pair<ll,ll>> a;
    for(int u: g[v]) if(u != p){
        a.emplace_back(f(u,v,col[u]^flp,0),f(u,v,col[u]^flp^1,1)+1);
    }
    vector<ll> ndp(2,1e9);
    ndp[0] = 0;
    for(int i = 0; i < a.size(); i++){
        vector<ll> mdp(2,1e9);
        mdp[0] = min(ndp[0] + a[i].first,ndp[1] + a[i].second);
        mdp[1] = min(ndp[1] + a[i].first,ndp[0] + a[i].second);
        ndp = mdp;
    }
    return dp[v][c][flp] = ndp[c^1];
}
 
int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int n;
    cin >> n;
    for(int i = 0; i < n - 1; i++){
        int u,v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    for(int i = 1; i <= n; i++){
        cin >> col[i];
        col[i] ^= 1;
    }
    memset(dp,-1,sizeof(dp));
    ll res = min(f(1,1,col[1],0),f(1,1,col[1]^1,1)+1);
    if(res > n) cout << "impossible";
    else cout << res << "\n";
}

Compilation message

xanadu.cpp: In function 'll f(int, int, int, int)':
xanadu.cpp:17:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   17 |     for(int i = 0; i < a.size(); i++){
      |                    ~~^~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 4 ms 5708 KB Output is correct
3 Correct 3 ms 5708 KB Output is correct
4 Correct 3 ms 5744 KB Output is correct
5 Correct 4 ms 5708 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 4 ms 5708 KB Output is correct
3 Correct 3 ms 5708 KB Output is correct
4 Correct 3 ms 5744 KB Output is correct
5 Correct 4 ms 5708 KB Output is correct
6 Correct 3 ms 5708 KB Output is correct
7 Correct 4 ms 5752 KB Output is correct
8 Correct 4 ms 5736 KB Output is correct
9 Correct 3 ms 5748 KB Output is correct
10 Correct 4 ms 5708 KB Output is correct
11 Correct 4 ms 5764 KB Output is correct
12 Correct 4 ms 5708 KB Output is correct
13 Correct 4 ms 5708 KB Output is correct
14 Correct 4 ms 5708 KB Output is correct
15 Correct 4 ms 5748 KB Output is correct
16 Correct 4 ms 5708 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 23592 KB Output is correct
2 Correct 104 ms 23488 KB Output is correct
3 Correct 100 ms 23748 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 23684 KB Output is correct
2 Correct 114 ms 23396 KB Output is correct
3 Correct 100 ms 23704 KB Output is correct
4 Correct 94 ms 9380 KB Output is correct
5 Correct 97 ms 9580 KB Output is correct
6 Correct 107 ms 9712 KB Output is correct
7 Correct 4 ms 5708 KB Output is correct
8 Correct 33 ms 7148 KB Output is correct
9 Correct 109 ms 9776 KB Output is correct
10 Correct 114 ms 9800 KB Output is correct
11 Correct 101 ms 10824 KB Output is correct
12 Correct 110 ms 11148 KB Output is correct
13 Correct 113 ms 9348 KB Output is correct
14 Correct 107 ms 9796 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5708 KB Output is correct
2 Correct 4 ms 5708 KB Output is correct
3 Correct 3 ms 5708 KB Output is correct
4 Correct 3 ms 5744 KB Output is correct
5 Correct 4 ms 5708 KB Output is correct
6 Correct 3 ms 5708 KB Output is correct
7 Correct 4 ms 5752 KB Output is correct
8 Correct 4 ms 5736 KB Output is correct
9 Correct 3 ms 5748 KB Output is correct
10 Correct 4 ms 5708 KB Output is correct
11 Correct 4 ms 5764 KB Output is correct
12 Correct 4 ms 5708 KB Output is correct
13 Correct 4 ms 5708 KB Output is correct
14 Correct 4 ms 5708 KB Output is correct
15 Correct 4 ms 5748 KB Output is correct
16 Correct 4 ms 5708 KB Output is correct
17 Correct 105 ms 23592 KB Output is correct
18 Correct 104 ms 23488 KB Output is correct
19 Correct 100 ms 23748 KB Output is correct
20 Correct 98 ms 23684 KB Output is correct
21 Correct 114 ms 23396 KB Output is correct
22 Correct 100 ms 23704 KB Output is correct
23 Correct 94 ms 9380 KB Output is correct
24 Correct 97 ms 9580 KB Output is correct
25 Correct 107 ms 9712 KB Output is correct
26 Correct 4 ms 5708 KB Output is correct
27 Correct 33 ms 7148 KB Output is correct
28 Correct 109 ms 9776 KB Output is correct
29 Correct 114 ms 9800 KB Output is correct
30 Correct 101 ms 10824 KB Output is correct
31 Correct 110 ms 11148 KB Output is correct
32 Correct 113 ms 9348 KB Output is correct
33 Correct 107 ms 9796 KB Output is correct
34 Correct 5 ms 5708 KB Output is correct
35 Correct 4 ms 5708 KB Output is correct
36 Correct 3 ms 5708 KB Output is correct
37 Correct 3 ms 5708 KB Output is correct
38 Correct 3 ms 5708 KB Output is correct
39 Correct 3 ms 5716 KB Output is correct
40 Correct 4 ms 5748 KB Output is correct
41 Correct 4 ms 5728 KB Output is correct
42 Correct 3 ms 5708 KB Output is correct
43 Correct 3 ms 5716 KB Output is correct
44 Correct 4 ms 5708 KB Output is correct
45 Correct 123 ms 25148 KB Output is correct
46 Correct 99 ms 24776 KB Output is correct
47 Correct 104 ms 25128 KB Output is correct
48 Correct 98 ms 10436 KB Output is correct
49 Correct 111 ms 11020 KB Output is correct
50 Correct 105 ms 10948 KB Output is correct
51 Correct 4 ms 5836 KB Output is correct
52 Correct 32 ms 7556 KB Output is correct
53 Correct 105 ms 11100 KB Output is correct
54 Correct 102 ms 11204 KB Output is correct
55 Correct 102 ms 12380 KB Output is correct
56 Correct 110 ms 12488 KB Output is correct
57 Correct 106 ms 10736 KB Output is correct
58 Correct 112 ms 11144 KB Output is correct
59 Correct 32 ms 7484 KB Output is correct
60 Correct 91 ms 10604 KB Output is correct
61 Correct 101 ms 11072 KB Output is correct
62 Correct 109 ms 11120 KB Output is correct
63 Correct 124 ms 11204 KB Output is correct
64 Correct 120 ms 11188 KB Output is correct
65 Correct 89 ms 11548 KB Output is correct
66 Correct 89 ms 11588 KB Output is correct
67 Correct 93 ms 15080 KB Output is correct
68 Correct 99 ms 15208 KB Output is correct
69 Correct 109 ms 15060 KB Output is correct
70 Correct 107 ms 15068 KB Output is correct