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Submission #574147

# Submission time Handle Problem Language Result Execution time Memory
574147 2022-06-08T03:17:59 Z eecs Boarding Passes (BOI22_passes) C++17
100 / 100
 261 ms 177456 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, T = S;
                long long s = (1LL * p * (p - 1) + 1LL * r * (r - 1)) / 2;
                p = pos[i][p];
                for (int T = S, j; T; T ^= 1 << j) {
                    j = __builtin_ctz(T);
                    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++) {
      |                     ~~^~~~~~~~~~~~
passes.cpp: In lambda function:
passes.cpp:30:48: warning: unused variable 'T' [-Wunused-variable]
   30 |                 int r = pos[i].size() - p - 1, T = S;
      |                                                ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 2132 KB Output is correct
2 Correct 10 ms 468 KB Output is correct
3 Correct 11 ms 468 KB Output is correct
4 Correct 11 ms 596 KB Output is correct
5 Correct 18 ms 2360 KB Output is correct
6 Correct 84 ms 139712 KB Output is correct
7 Correct 99 ms 166540 KB Output is correct
8 Correct 111 ms 177384 KB Output is correct
9 Correct 107 ms 177392 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 596 KB Output is correct
2 Correct 16 ms 768 KB Output is correct
3 Correct 27 ms 772 KB Output is correct
4 Correct 26 ms 764 KB Output is correct
5 Correct 17 ms 724 KB Output is correct
6 Correct 13 ms 608 KB Output is correct
7 Correct 21 ms 724 KB Output is correct
8 Correct 19 ms 636 KB Output is correct
9 Correct 20 ms 768 KB Output is correct
10 Correct 20 ms 636 KB Output is correct
11 Correct 19 ms 596 KB Output is correct
12 Correct 19 ms 596 KB Output is correct
13 Correct 18 ms 640 KB Output is correct
14 Correct 19 ms 596 KB Output is correct
15 Correct 19 ms 640 KB Output is correct
16 Correct 19 ms 596 KB Output is correct
17 Correct 20 ms 644 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 596 KB Output is correct
2 Correct 16 ms 768 KB Output is correct
3 Correct 27 ms 772 KB Output is correct
4 Correct 26 ms 764 KB Output is correct
5 Correct 17 ms 724 KB Output is correct
6 Correct 13 ms 608 KB Output is correct
7 Correct 21 ms 724 KB Output is correct
8 Correct 19 ms 636 KB Output is correct
9 Correct 20 ms 768 KB Output is correct
10 Correct 20 ms 636 KB Output is correct
11 Correct 19 ms 596 KB Output is correct
12 Correct 19 ms 596 KB Output is correct
13 Correct 18 ms 640 KB Output is correct
14 Correct 19 ms 596 KB Output is correct
15 Correct 19 ms 640 KB Output is correct
16 Correct 19 ms 596 KB Output is correct
17 Correct 20 ms 644 KB Output is correct
18 Correct 11 ms 600 KB Output is correct
19 Correct 15 ms 768 KB Output is correct
20 Correct 35 ms 756 KB Output is correct
21 Correct 34 ms 760 KB Output is correct
22 Correct 19 ms 724 KB Output is correct
23 Correct 14 ms 596 KB Output is correct
24 Correct 21 ms 724 KB Output is correct
25 Correct 18 ms 596 KB Output is correct
26 Correct 19 ms 596 KB Output is correct
27 Correct 18 ms 636 KB Output is correct
28 Correct 20 ms 596 KB Output is correct
29 Correct 19 ms 596 KB Output is correct
30 Correct 19 ms 596 KB Output is correct
31 Correct 20 ms 644 KB Output is correct
32 Correct 21 ms 640 KB Output is correct
33 Correct 20 ms 596 KB Output is correct
34 Correct 21 ms 596 KB Output is correct
35 Correct 29 ms 18260 KB Output is correct
36 Correct 26 ms 18308 KB Output is correct
37 Correct 91 ms 18284 KB Output is correct
38 Correct 80 ms 18260 KB Output is correct
39 Correct 32 ms 18260 KB Output is correct
40 Correct 75 ms 18184 KB Output is correct
41 Correct 85 ms 17924 KB Output is correct
42 Correct 87 ms 17912 KB Output is correct
43 Correct 90 ms 17916 KB Output is correct
44 Correct 96 ms 17908 KB Output is correct
45 Correct 85 ms 17876 KB Output is correct
46 Correct 89 ms 17916 KB Output is correct

Subtask #4
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 2132 KB Output is correct
2 Correct 10 ms 468 KB Output is correct
3 Correct 11 ms 468 KB Output is correct
4 Correct 11 ms 596 KB Output is correct
5 Correct 18 ms 2360 KB Output is correct
6 Correct 84 ms 139712 KB Output is correct
7 Correct 99 ms 166540 KB Output is correct
8 Correct 111 ms 177384 KB Output is correct
9 Correct 107 ms 177392 KB Output is correct
10 Correct 10 ms 596 KB Output is correct
11 Correct 16 ms 768 KB Output is correct
12 Correct 27 ms 772 KB Output is correct
13 Correct 26 ms 764 KB Output is correct
14 Correct 17 ms 724 KB Output is correct
15 Correct 13 ms 608 KB Output is correct
16 Correct 21 ms 724 KB Output is correct
17 Correct 19 ms 636 KB Output is correct
18 Correct 20 ms 768 KB Output is correct
19 Correct 20 ms 636 KB Output is correct
20 Correct 19 ms 596 KB Output is correct
21 Correct 19 ms 596 KB Output is correct
22 Correct 18 ms 640 KB Output is correct
23 Correct 19 ms 596 KB Output is correct
24 Correct 19 ms 640 KB Output is correct
25 Correct 19 ms 596 KB Output is correct
26 Correct 20 ms 644 KB Output is correct
27 Correct 11 ms 600 KB Output is correct
28 Correct 15 ms 768 KB Output is correct
29 Correct 35 ms 756 KB Output is correct
30 Correct 34 ms 760 KB Output is correct
31 Correct 19 ms 724 KB Output is correct
32 Correct 14 ms 596 KB Output is correct
33 Correct 21 ms 724 KB Output is correct
34 Correct 18 ms 596 KB Output is correct
35 Correct 19 ms 596 KB Output is correct
36 Correct 18 ms 636 KB Output is correct
37 Correct 20 ms 596 KB Output is correct
38 Correct 19 ms 596 KB Output is correct
39 Correct 19 ms 596 KB Output is correct
40 Correct 20 ms 644 KB Output is correct
41 Correct 21 ms 640 KB Output is correct
42 Correct 20 ms 596 KB Output is correct
43 Correct 21 ms 596 KB Output is correct
44 Correct 29 ms 18260 KB Output is correct
45 Correct 26 ms 18308 KB Output is correct
46 Correct 91 ms 18284 KB Output is correct
47 Correct 80 ms 18260 KB Output is correct
48 Correct 32 ms 18260 KB Output is correct
49 Correct 75 ms 18184 KB Output is correct
50 Correct 85 ms 17924 KB Output is correct
51 Correct 87 ms 17912 KB Output is correct
52 Correct 90 ms 17916 KB Output is correct
53 Correct 96 ms 17908 KB Output is correct
54 Correct 85 ms 17876 KB Output is correct
55 Correct 89 ms 17916 KB Output is correct
56 Correct 13 ms 612 KB Output is correct
57 Correct 28 ms 628 KB Output is correct
58 Correct 20 ms 2176 KB Output is correct
59 Correct 11 ms 468 KB Output is correct
60 Correct 10 ms 468 KB Output is correct
61 Correct 11 ms 600 KB Output is correct
62 Correct 16 ms 2352 KB Output is correct
63 Correct 83 ms 139616 KB Output is correct
64 Correct 97 ms 166564 KB Output is correct
65 Correct 109 ms 177456 KB Output is correct
66 Correct 107 ms 177436 KB Output is correct
67 Correct 10 ms 600 KB Output is correct
68 Correct 12 ms 776 KB Output is correct
69 Correct 25 ms 724 KB Output is correct
70 Correct 25 ms 768 KB Output is correct
71 Correct 22 ms 768 KB Output is correct
72 Correct 13 ms 596 KB Output is correct
73 Correct 22 ms 724 KB Output is correct
74 Correct 22 ms 596 KB Output is correct
75 Correct 24 ms 596 KB Output is correct
76 Correct 20 ms 596 KB Output is correct
77 Correct 18 ms 640 KB Output is correct
78 Correct 19 ms 636 KB Output is correct
79 Correct 18 ms 640 KB Output is correct
80 Correct 18 ms 644 KB Output is correct
81 Correct 19 ms 644 KB Output is correct
82 Correct 18 ms 596 KB Output is correct
83 Correct 21 ms 596 KB Output is correct
84 Correct 25 ms 18260 KB Output is correct
85 Correct 28 ms 18336 KB Output is correct
86 Correct 107 ms 18280 KB Output is correct
87 Correct 79 ms 18260 KB Output is correct
88 Correct 33 ms 18260 KB Output is correct
89 Correct 76 ms 18188 KB Output is correct
90 Correct 87 ms 17920 KB Output is correct
91 Correct 98 ms 17916 KB Output is correct
92 Correct 89 ms 17916 KB Output is correct
93 Correct 87 ms 17808 KB Output is correct
94 Correct 89 ms 17920 KB Output is correct
95 Correct 86 ms 17912 KB Output is correct
96 Correct 257 ms 177288 KB Output is correct
97 Correct 25 ms 596 KB Output is correct
98 Correct 221 ms 177308 KB Output is correct
99 Correct 120 ms 177356 KB Output is correct
100 Correct 22 ms 596 KB Output is correct
101 Correct 225 ms 177324 KB Output is correct
102 Correct 224 ms 177264 KB Output is correct
103 Correct 246 ms 176640 KB Output is correct
104 Correct 259 ms 176640 KB Output is correct
105 Correct 230 ms 176728 KB Output is correct
106 Correct 261 ms 176700 KB Output is correct
107 Correct 248 ms 176668 KB Output is correct
108 Correct 249 ms 176472 KB Output is correct
109 Correct 259 ms 176728 KB Output is correct