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Submission #574143

# Submission time Handle Problem Language Result Execution time Memory
574143 2022-06-08T03:11:16 Z eecs Boarding Passes (BOI22_passes) C++17
100 / 100
 257 ms 177416 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 >= 0) 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 24 ms 2132 KB Output is correct
2 Correct 15 ms 588 KB Output is correct
3 Correct 17 ms 592 KB Output is correct
4 Correct 17 ms 608 KB Output is correct
5 Correct 24 ms 2356 KB Output is correct
6 Correct 101 ms 139700 KB Output is correct
7 Correct 112 ms 166604 KB Output is correct
8 Correct 115 ms 177384 KB Output is correct
9 Correct 111 ms 177376 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 596 KB Output is correct
2 Correct 23 ms 724 KB Output is correct
3 Correct 48 ms 760 KB Output is correct
4 Correct 43 ms 760 KB Output is correct
5 Correct 32 ms 768 KB Output is correct
6 Correct 25 ms 596 KB Output is correct
7 Correct 44 ms 728 KB Output is correct
8 Correct 37 ms 596 KB Output is correct
9 Correct 39 ms 596 KB Output is correct
10 Correct 39 ms 596 KB Output is correct
11 Correct 37 ms 596 KB Output is correct
12 Correct 37 ms 620 KB Output is correct
13 Correct 36 ms 616 KB Output is correct
14 Correct 38 ms 596 KB Output is correct
15 Correct 39 ms 616 KB Output is correct
16 Correct 41 ms 596 KB Output is correct
17 Correct 40 ms 596 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 596 KB Output is correct
2 Correct 23 ms 724 KB Output is correct
3 Correct 48 ms 760 KB Output is correct
4 Correct 43 ms 760 KB Output is correct
5 Correct 32 ms 768 KB Output is correct
6 Correct 25 ms 596 KB Output is correct
7 Correct 44 ms 728 KB Output is correct
8 Correct 37 ms 596 KB Output is correct
9 Correct 39 ms 596 KB Output is correct
10 Correct 39 ms 596 KB Output is correct
11 Correct 37 ms 596 KB Output is correct
12 Correct 37 ms 620 KB Output is correct
13 Correct 36 ms 616 KB Output is correct
14 Correct 38 ms 596 KB Output is correct
15 Correct 39 ms 616 KB Output is correct
16 Correct 41 ms 596 KB Output is correct
17 Correct 40 ms 596 KB Output is correct
18 Correct 20 ms 604 KB Output is correct
19 Correct 21 ms 768 KB Output is correct
20 Correct 44 ms 724 KB Output is correct
21 Correct 42 ms 724 KB Output is correct
22 Correct 33 ms 724 KB Output is correct
23 Correct 27 ms 596 KB Output is correct
24 Correct 49 ms 724 KB Output is correct
25 Correct 37 ms 616 KB Output is correct
26 Correct 37 ms 596 KB Output is correct
27 Correct 37 ms 596 KB Output is correct
28 Correct 38 ms 596 KB Output is correct
29 Correct 37 ms 596 KB Output is correct
30 Correct 35 ms 624 KB Output is correct
31 Correct 37 ms 596 KB Output is correct
32 Correct 38 ms 704 KB Output is correct
33 Correct 38 ms 596 KB Output is correct
34 Correct 41 ms 596 KB Output is correct
35 Correct 35 ms 18320 KB Output is correct
36 Correct 35 ms 18260 KB Output is correct
37 Correct 104 ms 18276 KB Output is correct
38 Correct 112 ms 18380 KB Output is correct
39 Correct 49 ms 18312 KB Output is correct
40 Correct 97 ms 18180 KB Output is correct
41 Correct 104 ms 17916 KB Output is correct
42 Correct 101 ms 17804 KB Output is correct
43 Correct 105 ms 17916 KB Output is correct
44 Correct 107 ms 17944 KB Output is correct
45 Correct 102 ms 17876 KB Output is correct
46 Correct 102 ms 17992 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 2132 KB Output is correct
2 Correct 15 ms 588 KB Output is correct
3 Correct 17 ms 592 KB Output is correct
4 Correct 17 ms 608 KB Output is correct
5 Correct 24 ms 2356 KB Output is correct
6 Correct 101 ms 139700 KB Output is correct
7 Correct 112 ms 166604 KB Output is correct
8 Correct 115 ms 177384 KB Output is correct
9 Correct 111 ms 177376 KB Output is correct
10 Correct 21 ms 596 KB Output is correct
11 Correct 23 ms 724 KB Output is correct
12 Correct 48 ms 760 KB Output is correct
13 Correct 43 ms 760 KB Output is correct
14 Correct 32 ms 768 KB Output is correct
15 Correct 25 ms 596 KB Output is correct
16 Correct 44 ms 728 KB Output is correct
17 Correct 37 ms 596 KB Output is correct
18 Correct 39 ms 596 KB Output is correct
19 Correct 39 ms 596 KB Output is correct
20 Correct 37 ms 596 KB Output is correct
21 Correct 37 ms 620 KB Output is correct
22 Correct 36 ms 616 KB Output is correct
23 Correct 38 ms 596 KB Output is correct
24 Correct 39 ms 616 KB Output is correct
25 Correct 41 ms 596 KB Output is correct
26 Correct 40 ms 596 KB Output is correct
27 Correct 20 ms 604 KB Output is correct
28 Correct 21 ms 768 KB Output is correct
29 Correct 44 ms 724 KB Output is correct
30 Correct 42 ms 724 KB Output is correct
31 Correct 33 ms 724 KB Output is correct
32 Correct 27 ms 596 KB Output is correct
33 Correct 49 ms 724 KB Output is correct
34 Correct 37 ms 616 KB Output is correct
35 Correct 37 ms 596 KB Output is correct
36 Correct 37 ms 596 KB Output is correct
37 Correct 38 ms 596 KB Output is correct
38 Correct 37 ms 596 KB Output is correct
39 Correct 35 ms 624 KB Output is correct
40 Correct 37 ms 596 KB Output is correct
41 Correct 38 ms 704 KB Output is correct
42 Correct 38 ms 596 KB Output is correct
43 Correct 41 ms 596 KB Output is correct
44 Correct 35 ms 18320 KB Output is correct
45 Correct 35 ms 18260 KB Output is correct
46 Correct 104 ms 18276 KB Output is correct
47 Correct 112 ms 18380 KB Output is correct
48 Correct 49 ms 18312 KB Output is correct
49 Correct 97 ms 18180 KB Output is correct
50 Correct 104 ms 17916 KB Output is correct
51 Correct 101 ms 17804 KB Output is correct
52 Correct 105 ms 17916 KB Output is correct
53 Correct 107 ms 17944 KB Output is correct
54 Correct 102 ms 17876 KB Output is correct
55 Correct 102 ms 17992 KB Output is correct
56 Correct 27 ms 596 KB Output is correct
57 Correct 46 ms 596 KB Output is correct
58 Correct 23 ms 2180 KB Output is correct
59 Correct 15 ms 588 KB Output is correct
60 Correct 18 ms 596 KB Output is correct
61 Correct 19 ms 600 KB Output is correct
62 Correct 24 ms 2360 KB Output is correct
63 Correct 94 ms 139704 KB Output is correct
64 Correct 120 ms 166556 KB Output is correct
65 Correct 112 ms 177348 KB Output is correct
66 Correct 109 ms 177416 KB Output is correct
67 Correct 21 ms 600 KB Output is correct
68 Correct 22 ms 724 KB Output is correct
69 Correct 47 ms 752 KB Output is correct
70 Correct 45 ms 724 KB Output is correct
71 Correct 33 ms 724 KB Output is correct
72 Correct 25 ms 612 KB Output is correct
73 Correct 39 ms 724 KB Output is correct
74 Correct 36 ms 596 KB Output is correct
75 Correct 38 ms 616 KB Output is correct
76 Correct 39 ms 616 KB Output is correct
77 Correct 37 ms 596 KB Output is correct
78 Correct 38 ms 596 KB Output is correct
79 Correct 36 ms 596 KB Output is correct
80 Correct 38 ms 596 KB Output is correct
81 Correct 36 ms 596 KB Output is correct
82 Correct 39 ms 596 KB Output is correct
83 Correct 41 ms 624 KB Output is correct
84 Correct 43 ms 18260 KB Output is correct
85 Correct 37 ms 18308 KB Output is correct
86 Correct 103 ms 18280 KB Output is correct
87 Correct 100 ms 18248 KB Output is correct
88 Correct 50 ms 18244 KB Output is correct
89 Correct 98 ms 18184 KB Output is correct
90 Correct 110 ms 17920 KB Output is correct
91 Correct 111 ms 17916 KB Output is correct
92 Correct 105 ms 17916 KB Output is correct
93 Correct 105 ms 17876 KB Output is correct
94 Correct 101 ms 17920 KB Output is correct
95 Correct 100 ms 17924 KB Output is correct
96 Correct 256 ms 177360 KB Output is correct
97 Correct 52 ms 596 KB Output is correct
98 Correct 246 ms 177304 KB Output is correct
99 Correct 131 ms 177412 KB Output is correct
100 Correct 36 ms 612 KB Output is correct
101 Correct 230 ms 177340 KB Output is correct
102 Correct 237 ms 177388 KB Output is correct
103 Correct 253 ms 176652 KB Output is correct
104 Correct 249 ms 176700 KB Output is correct
105 Correct 239 ms 176720 KB Output is correct
106 Correct 257 ms 176724 KB Output is correct
107 Correct 247 ms 176684 KB Output is correct
108 Correct 238 ms 176536 KB Output is correct
109 Correct 249 ms 176732 KB Output is correct