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Submission #574144

# Submission time Handle Problem Language Result Execution time Memory
574144 2022-06-08T03:15:13 Z eecs Boarding Passes (BOI22_passes) C++17
100 / 100
 283 ms 177448 KB 
#include <bits/stdc++.h>
using namespace std;

const int maxn = 100010, n = 15;
int cnt[n], pre[maxn][n][n], suf[maxn][n][n];
string str;
long long f[1 << n];
vector<int> pos[n];

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    cin >> str;
    fill(pos, pos + n, vector<int>{-1});
    for (int i = 0; i < str.size(); i++) {
        pos[str[i] - 'A'].push_back(i);
        if (i) memcpy(pre[i], pre[i - 1], sizeof(pre[i]));
        for (int j = 0; j < n; j++) pre[i][str[i] - 'A'][j] += cnt[j];
        cnt[str[i] - 'A']++;
    }
    fill(cnt, cnt + n, 0);
    for (int i = str.size() - 1; ~i; i--) {
        memcpy(suf[i], suf[i + 1], sizeof(suf[i]));
        for (int j = 0; j < n; j++) suf[i][str[i] - 'A'][j] += cnt[j];
        cnt[str[i] - 'A']++;
    }
    fill(f + 1, f + (1 << n), 1e18);
    for (int S = 0; S < 1 << n; S++) {
        for (int i = 0; i < n; i++) if (!(S >> i & 1)) {
            auto calc = [&](int p) {
                int r = pos[i].size() - p - 1;
                long long s = (1LL * p * (p - 1) + 1LL * r * (r - 1)) / 2;
                p = pos[i][p];
                for (int j = 0; j < n; j++) if (S >> j & 1) {
                    if (~p) s += 2 * pre[p][i][j];
                    s += 2 * suf[p + 1][i][j];
                }
                return s;
            };
            int l = 1, r = pos[i].size() - 1, p = 0;
            while (l <= r) {
                int mid = (l + r) / 2;
                calc(mid) < calc(mid - 1) ? l = (p = mid) + 1 : r = mid - 1;
            }
            f[S | (1 << i)] = min(f[S | (1 << i)], f[S] + calc(p));
        }
    }
    cout << f[(1 << n) - 1] / 2 << (f[(1 << n) - 1] % 2 ? ".5" : "") << "\n";
    return 0;
}

Compilation message

passes.cpp: In function 'int main()':
passes.cpp:14:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   14 |     for (int i = 0; i < str.size(); i++) {
      |                     ~~^~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 2132 KB Output is correct
2 Correct 14 ms 596 KB Output is correct
3 Correct 16 ms 588 KB Output is correct
4 Correct 19 ms 604 KB Output is correct
5 Correct 27 ms 2332 KB Output is correct
6 Correct 92 ms 139716 KB Output is correct
7 Correct 109 ms 166528 KB Output is correct
8 Correct 121 ms 177408 KB Output is correct
9 Correct 112 ms 177328 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 468 KB Output is correct
2 Correct 21 ms 768 KB Output is correct
3 Correct 45 ms 752 KB Output is correct
4 Correct 42 ms 724 KB Output is correct
5 Correct 34 ms 724 KB Output is correct
6 Correct 34 ms 596 KB Output is correct
7 Correct 45 ms 724 KB Output is correct
8 Correct 36 ms 616 KB Output is correct
9 Correct 37 ms 596 KB Output is correct
10 Correct 37 ms 596 KB Output is correct
11 Correct 35 ms 636 KB Output is correct
12 Correct 37 ms 616 KB Output is correct
13 Correct 35 ms 596 KB Output is correct
14 Correct 37 ms 616 KB Output is correct
15 Correct 45 ms 716 KB Output is correct
16 Correct 41 ms 632 KB Output is correct
17 Correct 39 ms 616 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 468 KB Output is correct
2 Correct 21 ms 768 KB Output is correct
3 Correct 45 ms 752 KB Output is correct
4 Correct 42 ms 724 KB Output is correct
5 Correct 34 ms 724 KB Output is correct
6 Correct 34 ms 596 KB Output is correct
7 Correct 45 ms 724 KB Output is correct
8 Correct 36 ms 616 KB Output is correct
9 Correct 37 ms 596 KB Output is correct
10 Correct 37 ms 596 KB Output is correct
11 Correct 35 ms 636 KB Output is correct
12 Correct 37 ms 616 KB Output is correct
13 Correct 35 ms 596 KB Output is correct
14 Correct 37 ms 616 KB Output is correct
15 Correct 45 ms 716 KB Output is correct
16 Correct 41 ms 632 KB Output is correct
17 Correct 39 ms 616 KB Output is correct
18 Correct 20 ms 596 KB Output is correct
19 Correct 22 ms 772 KB Output is correct
20 Correct 44 ms 724 KB Output is correct
21 Correct 42 ms 744 KB Output is correct
22 Correct 34 ms 752 KB Output is correct
23 Correct 28 ms 596 KB Output is correct
24 Correct 41 ms 724 KB Output is correct
25 Correct 35 ms 596 KB Output is correct
26 Correct 37 ms 596 KB Output is correct
27 Correct 37 ms 620 KB Output is correct
28 Correct 39 ms 596 KB Output is correct
29 Correct 46 ms 596 KB Output is correct
30 Correct 37 ms 616 KB Output is correct
31 Correct 44 ms 596 KB Output is correct
32 Correct 38 ms 620 KB Output is correct
33 Correct 41 ms 632 KB Output is correct
34 Correct 39 ms 596 KB Output is correct
35 Correct 37 ms 18260 KB Output is correct
36 Correct 36 ms 18324 KB Output is correct
37 Correct 106 ms 18280 KB Output is correct
38 Correct 96 ms 18260 KB Output is correct
39 Correct 51 ms 18312 KB Output is correct
40 Correct 93 ms 18192 KB Output is correct
41 Correct 99 ms 17920 KB Output is correct
42 Correct 104 ms 18004 KB Output is correct
43 Correct 101 ms 17920 KB Output is correct
44 Correct 110 ms 17904 KB Output is correct
45 Correct 110 ms 17916 KB Output is correct
46 Correct 99 ms 17876 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 2132 KB Output is correct
2 Correct 14 ms 596 KB Output is correct
3 Correct 16 ms 588 KB Output is correct
4 Correct 19 ms 604 KB Output is correct
5 Correct 27 ms 2332 KB Output is correct
6 Correct 92 ms 139716 KB Output is correct
7 Correct 109 ms 166528 KB Output is correct
8 Correct 121 ms 177408 KB Output is correct
9 Correct 112 ms 177328 KB Output is correct
10 Correct 20 ms 468 KB Output is correct
11 Correct 21 ms 768 KB Output is correct
12 Correct 45 ms 752 KB Output is correct
13 Correct 42 ms 724 KB Output is correct
14 Correct 34 ms 724 KB Output is correct
15 Correct 34 ms 596 KB Output is correct
16 Correct 45 ms 724 KB Output is correct
17 Correct 36 ms 616 KB Output is correct
18 Correct 37 ms 596 KB Output is correct
19 Correct 37 ms 596 KB Output is correct
20 Correct 35 ms 636 KB Output is correct
21 Correct 37 ms 616 KB Output is correct
22 Correct 35 ms 596 KB Output is correct
23 Correct 37 ms 616 KB Output is correct
24 Correct 45 ms 716 KB Output is correct
25 Correct 41 ms 632 KB Output is correct
26 Correct 39 ms 616 KB Output is correct
27 Correct 20 ms 596 KB Output is correct
28 Correct 22 ms 772 KB Output is correct
29 Correct 44 ms 724 KB Output is correct
30 Correct 42 ms 744 KB Output is correct
31 Correct 34 ms 752 KB Output is correct
32 Correct 28 ms 596 KB Output is correct
33 Correct 41 ms 724 KB Output is correct
34 Correct 35 ms 596 KB Output is correct
35 Correct 37 ms 596 KB Output is correct
36 Correct 37 ms 620 KB Output is correct
37 Correct 39 ms 596 KB Output is correct
38 Correct 46 ms 596 KB Output is correct
39 Correct 37 ms 616 KB Output is correct
40 Correct 44 ms 596 KB Output is correct
41 Correct 38 ms 620 KB Output is correct
42 Correct 41 ms 632 KB Output is correct
43 Correct 39 ms 596 KB Output is correct
44 Correct 37 ms 18260 KB Output is correct
45 Correct 36 ms 18324 KB Output is correct
46 Correct 106 ms 18280 KB Output is correct
47 Correct 96 ms 18260 KB Output is correct
48 Correct 51 ms 18312 KB Output is correct
49 Correct 93 ms 18192 KB Output is correct
50 Correct 99 ms 17920 KB Output is correct
51 Correct 104 ms 18004 KB Output is correct
52 Correct 101 ms 17920 KB Output is correct
53 Correct 110 ms 17904 KB Output is correct
54 Correct 110 ms 17916 KB Output is correct
55 Correct 99 ms 17876 KB Output is correct
56 Correct 27 ms 596 KB Output is correct
57 Correct 45 ms 596 KB Output is correct
58 Correct 24 ms 2180 KB Output is correct
59 Correct 14 ms 588 KB Output is correct
60 Correct 17 ms 596 KB Output is correct
61 Correct 19 ms 600 KB Output is correct
62 Correct 26 ms 2260 KB Output is correct
63 Correct 108 ms 139708 KB Output is correct
64 Correct 113 ms 166568 KB Output is correct
65 Correct 115 ms 177412 KB Output is correct
66 Correct 122 ms 177416 KB Output is correct
67 Correct 25 ms 596 KB Output is correct
68 Correct 21 ms 764 KB Output is correct
69 Correct 45 ms 760 KB Output is correct
70 Correct 42 ms 740 KB Output is correct
71 Correct 34 ms 752 KB Output is correct
72 Correct 26 ms 604 KB Output is correct
73 Correct 41 ms 728 KB Output is correct
74 Correct 42 ms 596 KB Output is correct
75 Correct 38 ms 596 KB Output is correct
76 Correct 37 ms 620 KB Output is correct
77 Correct 38 ms 596 KB Output is correct
78 Correct 37 ms 596 KB Output is correct
79 Correct 37 ms 596 KB Output is correct
80 Correct 36 ms 596 KB Output is correct
81 Correct 43 ms 620 KB Output is correct
82 Correct 45 ms 620 KB Output is correct
83 Correct 41 ms 596 KB Output is correct
84 Correct 33 ms 18260 KB Output is correct
85 Correct 35 ms 18260 KB Output is correct
86 Correct 106 ms 18284 KB Output is correct
87 Correct 103 ms 18244 KB Output is correct
88 Correct 51 ms 18260 KB Output is correct
89 Correct 88 ms 18132 KB Output is correct
90 Correct 101 ms 17920 KB Output is correct
91 Correct 98 ms 17876 KB Output is correct
92 Correct 108 ms 17912 KB Output is correct
93 Correct 108 ms 17904 KB Output is correct
94 Correct 98 ms 17920 KB Output is correct
95 Correct 101 ms 17876 KB Output is correct
96 Correct 254 ms 177332 KB Output is correct
97 Correct 50 ms 652 KB Output is correct
98 Correct 265 ms 177308 KB Output is correct
99 Correct 139 ms 177448 KB Output is correct
100 Correct 35 ms 596 KB Output is correct
101 Correct 224 ms 177268 KB Output is correct
102 Correct 263 ms 177444 KB Output is correct
103 Correct 246 ms 176728 KB Output is correct
104 Correct 283 ms 176808 KB Output is correct
105 Correct 240 ms 176728 KB Output is correct
106 Correct 264 ms 176696 KB Output is correct
107 Correct 249 ms 176640 KB Output is correct
108 Correct 234 ms 176468 KB Output is correct
109 Correct 264 ms 176696 KB Output is correct