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Submission #554341

# Submission time Handle Problem Language Result Execution time Memory
554341 2022-04-28T07:38:50 Z kevinxiehk The Xana coup (BOI21_xanadu) C++17
100 / 100
 59 ms 23508 KB 
#include <bits/stdc++.h>
#define mp make_pair
#define pb emplace_back
#define fi first
#define se second
#define int long long
#define inf 1e9
#define ick cout<<"ickbmi32.9\n"
using namespace std;
int n;
vector<int> conn[100005];
int init[100005];
pair<pair<int, int>, pair<int, int>> dfs(int now, int fa) {
    /* vector stores: 
        fi.fi: off, not pressed
        fi.se: off, pressed
        se.fi: on, not pressed
        se.se: on, pressed
    */
    int tcon = 0, tconcnt = 0, alton = inf; 
    int tcoff = 0, tcoffcnt = 0, altoff = inf;
    pair<pair<int, int>, pair<int, int>> t;
    for(auto x: conn[now]) {
        if(x == fa) continue;
        t = dfs(x, now);
        if(t.fi.se < t.fi.fi) tcoffcnt++;
        if(t.se.se < t.se.fi) tconcnt++;
        tcoff += min(t.fi.se, t.fi.fi);
        tcon += min(t.se.se, t.se.fi);
        altoff = min(altoff, abs(t.fi.se - t.fi.fi));
        alton = min(alton, abs(t.se.se - t.se.fi));
    }
    pair<int, int> off;
    pair<int, int> on;
    if(tcoffcnt % 2 == 0) {
        off.fi = tcoff;
        on.fi = tcoff + altoff;
    }
    else {
        on.fi = tcoff;
        off.fi = tcoff + altoff;
    }
    if(tconcnt % 2 == 1) {
        off.se = tcon + 1;
        on.se = tcon + alton + 1;
    }
    else {
        on.se = tcon + 1;
        off.se = tcon + alton + 1;
    }
    if(init[now] == 1) return mp(on, off);
    else return mp(off, on);
}
signed main() {
    ios_base::sync_with_stdio(false); 
    cin.tie(0); cout.tie(0);
    cin >> n;
    int t, tt;
    for(int i = 1; i < n; i++) {
        cin >> t >> tt;
        conn[t].pb(tt);
        conn[tt].pb(t);
    }
    for(int i = 1; i <= n; i++) cin >> init[i];
    pair<pair<int, int>, pair<int, int>> ans = dfs(1, 1);
    if(min(ans.fi.fi, ans.fi.se) > n) cout << "impossible\n";
    else cout << min(ans.fi.fi, ans.fi.se) << '\n';
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 1 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 22044 KB Output is correct
2 Correct 47 ms 21880 KB Output is correct
3 Correct 52 ms 22092 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 22116 KB Output is correct
2 Correct 46 ms 21820 KB Output is correct
3 Correct 47 ms 22092 KB Output is correct
4 Correct 43 ms 6988 KB Output is correct
5 Correct 42 ms 7352 KB Output is correct
6 Correct 47 ms 8764 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 15 ms 4640 KB Output is correct
9 Correct 45 ms 8476 KB Output is correct
10 Correct 45 ms 8524 KB Output is correct
11 Correct 46 ms 9548 KB Output is correct
12 Correct 48 ms 9744 KB Output is correct
13 Correct 53 ms 8640 KB Output is correct
14 Correct 51 ms 9036 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 2 ms 2644 KB Output is correct
13 Correct 1 ms 2644 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 47 ms 22044 KB Output is correct
18 Correct 47 ms 21880 KB Output is correct
19 Correct 52 ms 22092 KB Output is correct
20 Correct 48 ms 22116 KB Output is correct
21 Correct 46 ms 21820 KB Output is correct
22 Correct 47 ms 22092 KB Output is correct
23 Correct 43 ms 6988 KB Output is correct
24 Correct 42 ms 7352 KB Output is correct
25 Correct 47 ms 8764 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 15 ms 4640 KB Output is correct
28 Correct 45 ms 8476 KB Output is correct
29 Correct 45 ms 8524 KB Output is correct
30 Correct 46 ms 9548 KB Output is correct
31 Correct 48 ms 9744 KB Output is correct
32 Correct 53 ms 8640 KB Output is correct
33 Correct 51 ms 9036 KB Output is correct
34 Correct 2 ms 2644 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 2 ms 2644 KB Output is correct
37 Correct 2 ms 2644 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 1 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2676 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 1 ms 2680 KB Output is correct
45 Correct 53 ms 23508 KB Output is correct
46 Correct 48 ms 23212 KB Output is correct
47 Correct 48 ms 23500 KB Output is correct
48 Correct 40 ms 8076 KB Output is correct
49 Correct 47 ms 8636 KB Output is correct
50 Correct 47 ms 8780 KB Output is correct
51 Correct 2 ms 2644 KB Output is correct
52 Correct 15 ms 4612 KB Output is correct
53 Correct 57 ms 8504 KB Output is correct
54 Correct 47 ms 8644 KB Output is correct
55 Correct 45 ms 9468 KB Output is correct
56 Correct 51 ms 9744 KB Output is correct
57 Correct 43 ms 8660 KB Output is correct
58 Correct 59 ms 9084 KB Output is correct
59 Correct 15 ms 4552 KB Output is correct
60 Correct 40 ms 7900 KB Output is correct
61 Correct 50 ms 8428 KB Output is correct
62 Correct 49 ms 8556 KB Output is correct
63 Correct 48 ms 8556 KB Output is correct
64 Correct 48 ms 8432 KB Output is correct
65 Correct 39 ms 8908 KB Output is correct
66 Correct 41 ms 8848 KB Output is correct
67 Correct 33 ms 8664 KB Output is correct
68 Correct 40 ms 8596 KB Output is correct
69 Correct 31 ms 8640 KB Output is correct
70 Correct 33 ms 8596 KB Output is correct