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Submission #560227

# Submission time Handle Problem Language Result Execution time Memory
560227 2022-05-11T07:38:10 Z Ooops_sorry The Xana coup (BOI21_xanadu) C++14
100 / 100
 125 ms 34180 KB 
#include<bits/stdc++.h>

using namespace std;

#define pb push_back
#define ld long double
#define ll long long

mt19937 rnd(51);

const int N = 1e5 + 10, INF = 1e9;
vector<int> g[N], a(N);
int dp[N][2][2];

void dfs(int v, int p) {
    vector<int> dp0(2), dp1(2);
    dp0[1] = dp1[1] = INF;
    for (auto to : g[v]) {
        if (to != p) {
            dfs(to, v);
            vector<int> dpp0(2, INF), dpp1(2, INF);
            for (int j = 0; j < 2; j++) {
                for (int k = 0; k < 2; k++) {
                    dpp0[j ^ k] = min(dpp0[j ^ k], dp0[j] + dp[to][0][k]);
                    dpp1[j ^ k] = min(dpp1[j ^ k], dp1[j] + dp[to][1][k]);
                }
            }
            swap(dp0, dpp0);
            swap(dp1, dpp1);
        }
    }
    dp[v][a[v]][0] = min(dp[v][a[v]][0], dp0[0]);
    dp[v][a[v] ^ 1][0] = min(dp[v][a[v] ^ 1][0], dp0[1]);
    dp[v][a[v] ^ 1][1] = min(dp[v][a[v] ^ 1][1], dp1[0] + 1);
    dp[v][a[v]][1] = min(dp[v][a[v]][1], dp1[1] + 1);
}

signed main() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
#endif // LCOAL
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int n;
    cin >> n;
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < 2; j++) {
            for (int k = 0; k < 2; k++) {
                dp[i][j][k] = INF;
            }
        }
    }
    for (int i = 0; i < n - 1; i++) {
        int a, b;
        cin >> a >> b;
        a--, b--;
        g[a].pb(b);
        g[b].pb(a);
    }
    for (int i = 0; i < n; i++) cin >> a[i];
    dfs(0, -1);
    int res = min(dp[0][0][1], dp[0][0][0]);
    if (res == INF) cout << "impossible" << endl;
    else cout << res << endl;
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3060 KB Output is correct
2 Correct 2 ms 3088 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3060 KB Output is correct
2 Correct 2 ms 3088 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3088 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 3 ms 3028 KB Output is correct
9 Correct 3 ms 3028 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 2 ms 3028 KB Output is correct
12 Correct 2 ms 3080 KB Output is correct
13 Correct 2 ms 3084 KB Output is correct
14 Correct 2 ms 3028 KB Output is correct
15 Correct 2 ms 3028 KB Output is correct
16 Correct 2 ms 3028 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 33996 KB Output is correct
2 Correct 84 ms 33624 KB Output is correct
3 Correct 98 ms 34140 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 33920 KB Output is correct
2 Correct 82 ms 33612 KB Output is correct
3 Correct 84 ms 34180 KB Output is correct
4 Correct 82 ms 8468 KB Output is correct
5 Correct 63 ms 8976 KB Output is correct
6 Correct 78 ms 9120 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 21 ms 5276 KB Output is correct
9 Correct 116 ms 9244 KB Output is correct
10 Correct 125 ms 9316 KB Output is correct
11 Correct 65 ms 11076 KB Output is correct
12 Correct 63 ms 11328 KB Output is correct
13 Correct 66 ms 8716 KB Output is correct
14 Correct 76 ms 9020 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 3060 KB Output is correct
2 Correct 2 ms 3088 KB Output is correct
3 Correct 2 ms 3028 KB Output is correct
4 Correct 2 ms 3028 KB Output is correct
5 Correct 2 ms 3028 KB Output is correct
6 Correct 2 ms 3088 KB Output is correct
7 Correct 2 ms 3028 KB Output is correct
8 Correct 3 ms 3028 KB Output is correct
9 Correct 3 ms 3028 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 2 ms 3028 KB Output is correct
12 Correct 2 ms 3080 KB Output is correct
13 Correct 2 ms 3084 KB Output is correct
14 Correct 2 ms 3028 KB Output is correct
15 Correct 2 ms 3028 KB Output is correct
16 Correct 2 ms 3028 KB Output is correct
17 Correct 80 ms 33996 KB Output is correct
18 Correct 84 ms 33624 KB Output is correct
19 Correct 98 ms 34140 KB Output is correct
20 Correct 69 ms 33920 KB Output is correct
21 Correct 82 ms 33612 KB Output is correct
22 Correct 84 ms 34180 KB Output is correct
23 Correct 82 ms 8468 KB Output is correct
24 Correct 63 ms 8976 KB Output is correct
25 Correct 78 ms 9120 KB Output is correct
26 Correct 2 ms 3028 KB Output is correct
27 Correct 21 ms 5276 KB Output is correct
28 Correct 116 ms 9244 KB Output is correct
29 Correct 125 ms 9316 KB Output is correct
30 Correct 65 ms 11076 KB Output is correct
31 Correct 63 ms 11328 KB Output is correct
32 Correct 66 ms 8716 KB Output is correct
33 Correct 76 ms 9020 KB Output is correct
34 Correct 2 ms 3028 KB Output is correct
35 Correct 2 ms 3028 KB Output is correct
36 Correct 2 ms 3028 KB Output is correct
37 Correct 2 ms 3036 KB Output is correct
38 Correct 2 ms 3028 KB Output is correct
39 Correct 2 ms 3028 KB Output is correct
40 Correct 2 ms 3028 KB Output is correct
41 Correct 2 ms 3028 KB Output is correct
42 Correct 2 ms 3084 KB Output is correct
43 Correct 2 ms 3088 KB Output is correct
44 Correct 2 ms 3028 KB Output is correct
45 Correct 100 ms 33968 KB Output is correct
46 Correct 97 ms 33612 KB Output is correct
47 Correct 71 ms 34088 KB Output is correct
48 Correct 59 ms 8464 KB Output is correct
49 Correct 73 ms 8988 KB Output is correct
50 Correct 98 ms 9088 KB Output is correct
51 Correct 3 ms 3028 KB Output is correct
52 Correct 21 ms 5256 KB Output is correct
53 Correct 58 ms 9164 KB Output is correct
54 Correct 63 ms 9416 KB Output is correct
55 Correct 69 ms 10980 KB Output is correct
56 Correct 94 ms 11384 KB Output is correct
57 Correct 71 ms 8660 KB Output is correct
58 Correct 61 ms 9104 KB Output is correct
59 Correct 20 ms 5092 KB Output is correct
60 Correct 53 ms 8588 KB Output is correct
61 Correct 70 ms 9088 KB Output is correct
62 Correct 109 ms 9348 KB Output is correct
63 Correct 61 ms 9276 KB Output is correct
64 Correct 65 ms 9256 KB Output is correct
65 Correct 52 ms 9648 KB Output is correct
66 Correct 72 ms 9616 KB Output is correct
67 Correct 72 ms 9488 KB Output is correct
68 Correct 49 ms 9516 KB Output is correct
69 Correct 44 ms 9452 KB Output is correct
70 Correct 45 ms 9420 KB Output is correct