oj.uz

Submission #574148

# Submission time Handle Problem Language Result Execution time Memory
574148 2022-06-08T03:20:57 Z eecs Boarding Passes (BOI22_passes) C++17
100 / 100
 272 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, 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 9 ms 596 KB Output is correct
3 Correct 10 ms 596 KB Output is correct
4 Correct 9 ms 596 KB Output is correct
5 Correct 15 ms 2356 KB Output is correct
6 Correct 89 ms 139608 KB Output is correct
7 Correct 116 ms 166468 KB Output is correct
8 Correct 106 ms 177416 KB Output is correct
9 Correct 105 ms 177400 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 604 KB Output is correct
2 Correct 13 ms 772 KB Output is correct
3 Correct 27 ms 724 KB Output is correct
4 Correct 32 ms 752 KB Output is correct
5 Correct 20 ms 724 KB Output is correct
6 Correct 14 ms 604 KB Output is correct
7 Correct 21 ms 724 KB Output is correct
8 Correct 18 ms 596 KB Output is correct
9 Correct 19 ms 596 KB Output is correct
10 Correct 19 ms 596 KB Output is correct
11 Correct 19 ms 640 KB Output is correct
12 Correct 20 ms 636 KB Output is correct
13 Correct 19 ms 596 KB Output is correct
14 Correct 19 ms 644 KB Output is correct
15 Correct 21 ms 636 KB Output is correct
16 Correct 20 ms 640 KB Output is correct
17 Correct 24 ms 636 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 604 KB Output is correct
2 Correct 13 ms 772 KB Output is correct
3 Correct 27 ms 724 KB Output is correct
4 Correct 32 ms 752 KB Output is correct
5 Correct 20 ms 724 KB Output is correct
6 Correct 14 ms 604 KB Output is correct
7 Correct 21 ms 724 KB Output is correct
8 Correct 18 ms 596 KB Output is correct
9 Correct 19 ms 596 KB Output is correct
10 Correct 19 ms 596 KB Output is correct
11 Correct 19 ms 640 KB Output is correct
12 Correct 20 ms 636 KB Output is correct
13 Correct 19 ms 596 KB Output is correct
14 Correct 19 ms 644 KB Output is correct
15 Correct 21 ms 636 KB Output is correct
16 Correct 20 ms 640 KB Output is correct
17 Correct 24 ms 636 KB Output is correct
18 Correct 10 ms 596 KB Output is correct
19 Correct 12 ms 776 KB Output is correct
20 Correct 27 ms 768 KB Output is correct
21 Correct 24 ms 724 KB Output is correct
22 Correct 16 ms 768 KB Output is correct
23 Correct 14 ms 596 KB Output is correct
24 Correct 21 ms 732 KB Output is correct
25 Correct 18 ms 644 KB Output is correct
26 Correct 21 ms 640 KB Output is correct
27 Correct 23 ms 596 KB Output is correct
28 Correct 21 ms 640 KB Output is correct
29 Correct 22 ms 596 KB Output is correct
30 Correct 19 ms 644 KB Output is correct
31 Correct 19 ms 596 KB Output is correct
32 Correct 20 ms 724 KB Output is correct
33 Correct 18 ms 640 KB Output is correct
34 Correct 20 ms 636 KB Output is correct
35 Correct 27 ms 18260 KB Output is correct
36 Correct 25 ms 18324 KB Output is correct
37 Correct 88 ms 18284 KB Output is correct
38 Correct 92 ms 18248 KB Output is correct
39 Correct 35 ms 18388 KB Output is correct
40 Correct 78 ms 18260 KB Output is correct
41 Correct 83 ms 17876 KB Output is correct
42 Correct 85 ms 17908 KB Output is correct
43 Correct 94 ms 17912 KB Output is correct
44 Correct 106 ms 17900 KB Output is correct
45 Correct 84 ms 17920 KB Output is correct
46 Correct 87 ms 17912 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 9 ms 596 KB Output is correct
3 Correct 10 ms 596 KB Output is correct
4 Correct 9 ms 596 KB Output is correct
5 Correct 15 ms 2356 KB Output is correct
6 Correct 89 ms 139608 KB Output is correct
7 Correct 116 ms 166468 KB Output is correct
8 Correct 106 ms 177416 KB Output is correct
9 Correct 105 ms 177400 KB Output is correct
10 Correct 11 ms 604 KB Output is correct
11 Correct 13 ms 772 KB Output is correct
12 Correct 27 ms 724 KB Output is correct
13 Correct 32 ms 752 KB Output is correct
14 Correct 20 ms 724 KB Output is correct
15 Correct 14 ms 604 KB Output is correct
16 Correct 21 ms 724 KB Output is correct
17 Correct 18 ms 596 KB Output is correct
18 Correct 19 ms 596 KB Output is correct
19 Correct 19 ms 596 KB Output is correct
20 Correct 19 ms 640 KB Output is correct
21 Correct 20 ms 636 KB Output is correct
22 Correct 19 ms 596 KB Output is correct
23 Correct 19 ms 644 KB Output is correct
24 Correct 21 ms 636 KB Output is correct
25 Correct 20 ms 640 KB Output is correct
26 Correct 24 ms 636 KB Output is correct
27 Correct 10 ms 596 KB Output is correct
28 Correct 12 ms 776 KB Output is correct
29 Correct 27 ms 768 KB Output is correct
30 Correct 24 ms 724 KB Output is correct
31 Correct 16 ms 768 KB Output is correct
32 Correct 14 ms 596 KB Output is correct
33 Correct 21 ms 732 KB Output is correct
34 Correct 18 ms 644 KB Output is correct
35 Correct 21 ms 640 KB Output is correct
36 Correct 23 ms 596 KB Output is correct
37 Correct 21 ms 640 KB Output is correct
38 Correct 22 ms 596 KB Output is correct
39 Correct 19 ms 644 KB Output is correct
40 Correct 19 ms 596 KB Output is correct
41 Correct 20 ms 724 KB Output is correct
42 Correct 18 ms 640 KB Output is correct
43 Correct 20 ms 636 KB Output is correct
44 Correct 27 ms 18260 KB Output is correct
45 Correct 25 ms 18324 KB Output is correct
46 Correct 88 ms 18284 KB Output is correct
47 Correct 92 ms 18248 KB Output is correct
48 Correct 35 ms 18388 KB Output is correct
49 Correct 78 ms 18260 KB Output is correct
50 Correct 83 ms 17876 KB Output is correct
51 Correct 85 ms 17908 KB Output is correct
52 Correct 94 ms 17912 KB Output is correct
53 Correct 106 ms 17900 KB Output is correct
54 Correct 84 ms 17920 KB Output is correct
55 Correct 87 ms 17912 KB Output is correct
56 Correct 14 ms 612 KB Output is correct
57 Correct 28 ms 644 KB Output is correct
58 Correct 31 ms 2172 KB Output is correct
59 Correct 9 ms 588 KB Output is correct
60 Correct 12 ms 596 KB Output is correct
61 Correct 14 ms 596 KB Output is correct
62 Correct 16 ms 2260 KB Output is correct
63 Correct 84 ms 139648 KB Output is correct
64 Correct 97 ms 166476 KB Output is correct
65 Correct 105 ms 177416 KB Output is correct
66 Correct 108 ms 177324 KB Output is correct
67 Correct 11 ms 604 KB Output is correct
68 Correct 13 ms 768 KB Output is correct
69 Correct 26 ms 724 KB Output is correct
70 Correct 25 ms 724 KB Output is correct
71 Correct 17 ms 724 KB Output is correct
72 Correct 13 ms 596 KB Output is correct
73 Correct 21 ms 736 KB Output is correct
74 Correct 19 ms 596 KB Output is correct
75 Correct 18 ms 644 KB Output is correct
76 Correct 18 ms 596 KB Output is correct
77 Correct 19 ms 596 KB Output is correct
78 Correct 20 ms 644 KB Output is correct
79 Correct 20 ms 636 KB Output is correct
80 Correct 20 ms 596 KB Output is correct
81 Correct 19 ms 596 KB Output is correct
82 Correct 18 ms 596 KB Output is correct
83 Correct 20 ms 636 KB Output is correct
84 Correct 26 ms 18260 KB Output is correct
85 Correct 26 ms 18260 KB Output is correct
86 Correct 89 ms 18288 KB Output is correct
87 Correct 85 ms 18260 KB Output is correct
88 Correct 30 ms 18324 KB Output is correct
89 Correct 76 ms 18188 KB Output is correct
90 Correct 90 ms 17920 KB Output is correct
91 Correct 85 ms 17876 KB Output is correct
92 Correct 112 ms 17916 KB Output is correct
93 Correct 90 ms 17876 KB Output is correct
94 Correct 86 ms 17876 KB Output is correct
95 Correct 89 ms 17876 KB Output is correct
96 Correct 259 ms 177372 KB Output is correct
97 Correct 27 ms 596 KB Output is correct
98 Correct 225 ms 177264 KB Output is correct
99 Correct 112 ms 177408 KB Output is correct
100 Correct 19 ms 596 KB Output is correct
101 Correct 224 ms 177276 KB Output is correct
102 Correct 234 ms 177320 KB Output is correct
103 Correct 237 ms 176796 KB Output is correct
104 Correct 233 ms 176700 KB Output is correct
105 Correct 247 ms 176596 KB Output is correct
106 Correct 228 ms 176652 KB Output is correct
107 Correct 272 ms 176596 KB Output is correct
108 Correct 235 ms 176476 KB Output is correct
109 Correct 234 ms 176724 KB Output is correct