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Submission #580144

# Submission time Handle Problem Language Result Execution time Memory
580144 2022-06-20T16:06:14 Z Elias Boarding Passes (BOI22_passes) C++17
60 / 100
 702 ms 1048576 KB 
#include <bits/stdc++.h>

#ifndef _DEBUG
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#endif

using namespace std;

signed main()
{
    cin.tie(0);
    ios_base::sync_with_stdio(false);

    string s;
    cin >> s;

    int n = s.size();
    int g = *max_element(s.begin(), s.end()) - 'A' + 1;

    vector<int> a(n);
    vector<vector<int>> pos(g);

    for (int i = 0; i < n; i++)
        pos[a[i] = s[i] - 'A'].push_back(i);

    vector<vector<int>> prefix(1 << g, vector<int>(n));
    vector<vector<int>> suffix(1 << g, vector<int>(n));

    for (int k = 0; k < 1 << g; k++)
    {
        for (int i = 1; i < n; i++)
            prefix[k][i] = prefix[k][i - 1] + bool(1 << a[i - 1] & k);
        for (int i = n - 2; i >= 0; i--)
            suffix[k][i] = suffix[k][i + 1] + bool(1 << a[i + 1] & k);
    }

    vector<double> dp(1 << g, 1e20);
    dp[0] = 0;

    for (int b = 1; b < 1 << g; b++)
    {
        for (int i = 0; i < g; i++)
        {
            if (!(b & (1 << i)))
                continue;

            double cost = 0;

            for (int p : pos[i])
            {
                cost += min(prefix[b][p] - 0.5 * prefix[(1 << i)][p], suffix[b][p] - 0.5 * suffix[(1 << i)][p]);
            }

            dp[b] = min(dp[b], dp[b ^ (1 << i)] + cost);
        }
    }

    cout << setprecision(15) << dp.back();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 3 ms 2652 KB Output is correct
7 Correct 4 ms 3104 KB Output is correct
8 Correct 4 ms 3208 KB Output is correct
9 Correct 4 ms 3208 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 212 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 20 ms 20436 KB Output is correct
36 Correct 20 ms 20436 KB Output is correct
37 Correct 81 ms 80596 KB Output is correct
38 Correct 79 ms 80588 KB Output is correct
39 Correct 81 ms 80596 KB Output is correct
40 Correct 82 ms 80380 KB Output is correct
41 Correct 83 ms 78924 KB Output is correct
42 Correct 85 ms 79000 KB Output is correct
43 Correct 85 ms 78924 KB Output is correct
44 Correct 85 ms 79052 KB Output is correct
45 Correct 84 ms 79016 KB Output is correct
46 Correct 87 ms 78896 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 3 ms 2652 KB Output is correct
7 Correct 4 ms 3104 KB Output is correct
8 Correct 4 ms 3208 KB Output is correct
9 Correct 4 ms 3208 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 0 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 0 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 0 ms 340 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 0 ms 340 KB Output is correct
41 Correct 0 ms 340 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 0 ms 340 KB Output is correct
44 Correct 20 ms 20436 KB Output is correct
45 Correct 20 ms 20436 KB Output is correct
46 Correct 81 ms 80596 KB Output is correct
47 Correct 79 ms 80588 KB Output is correct
48 Correct 81 ms 80596 KB Output is correct
49 Correct 82 ms 80380 KB Output is correct
50 Correct 83 ms 78924 KB Output is correct
51 Correct 85 ms 79000 KB Output is correct
52 Correct 85 ms 78924 KB Output is correct
53 Correct 85 ms 79052 KB Output is correct
54 Correct 84 ms 79016 KB Output is correct
55 Correct 87 ms 78896 KB Output is correct
56 Correct 8 ms 6228 KB Output is correct
57 Correct 12 ms 10324 KB Output is correct
58 Correct 0 ms 340 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 212 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 3 ms 2652 KB Output is correct
64 Correct 4 ms 3104 KB Output is correct
65 Correct 4 ms 3208 KB Output is correct
66 Correct 4 ms 3208 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 0 ms 212 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 0 ms 340 KB Output is correct
76 Correct 0 ms 340 KB Output is correct
77 Correct 1 ms 340 KB Output is correct
78 Correct 0 ms 340 KB Output is correct
79 Correct 1 ms 340 KB Output is correct
80 Correct 0 ms 340 KB Output is correct
81 Correct 0 ms 340 KB Output is correct
82 Correct 0 ms 340 KB Output is correct
83 Correct 1 ms 340 KB Output is correct
84 Correct 20 ms 20436 KB Output is correct
85 Correct 20 ms 20436 KB Output is correct
86 Correct 85 ms 80724 KB Output is correct
87 Correct 80 ms 80596 KB Output is correct
88 Correct 78 ms 80660 KB Output is correct
89 Correct 83 ms 80460 KB Output is correct
90 Correct 84 ms 79008 KB Output is correct
91 Correct 84 ms 78952 KB Output is correct
92 Correct 81 ms 79132 KB Output is correct
93 Correct 88 ms 78924 KB Output is correct
94 Correct 83 ms 79076 KB Output is correct
95 Correct 85 ms 79004 KB Output is correct
96 Runtime error 702 ms 1048576 KB Execution killed with signal 9
97 Halted 0 ms 0 KB -