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Submission #598647

# Submission time Handle Problem Language Result Execution time Memory
598647 2022-07-18T16:01:43 Z someone Boarding Passes (BOI22_passes) C++14
60 / 100
 2000 ms 2504 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int N = 1e5 + 42, G = 15, INF = 1e18 + 42;

string str;
vector<int> pos[G];
int n, g = 0, sum[N], val[N], dp[1 << G];

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    
    cin >> str;
    n = str.size();
    for(int i = 0; i < n; i++)
        g = max(g, (int)(str[i] - 'A' + 1));
    for(int i = 0; i < n; i++)
        pos[str[i] - 'A'].push_back(i);
    for(int i = 1; i < (1 << g); i++) {
        dp[i] = INF;
        for(int j = 0; j < n; j++)
            sum[j] = 0;
        for(int j = 0; j < g; j++)
            if(i & (1 << j))
                for(int p : pos[j])
                    sum[p]++;
        for(int j = 1; j < n; j++)
            sum[j] += sum[j-1];
            
        for(int j = 0; j < g; j++)
            if(i & (1 << j)) {
                int sz = pos[j].size(), tot = 0, mini = INF;
                for(int k = 0; k < sz; k++)
                    tot += sum[pos[j][k]] - (k+1);
                mini = tot*4 + (sz*(sz-1));
                for(int k = sz-1; k > -1; k--) {
                    tot += sum[n-1] - sum[pos[j][k]] * 2 - sz + 2 * (k+1);
                    mini = min(mini, tot*4 + (k*(k-1)+(sz-k)*(sz-k-1)));
                }
                dp[i] = min(dp[i], dp[i ^ (1 << j)] + mini);
            }
    }
    cout << setprecision(30) << dp[(1 << g) - 1]/4.0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 4 ms 1932 KB Output is correct
7 Correct 3 ms 2188 KB Output is correct
8 Correct 3 ms 2316 KB Output is correct
9 Correct 3 ms 2280 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 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 1 ms 332 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 212 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 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 1 ms 332 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 328 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 328 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 14 ms 596 KB Output is correct
36 Correct 14 ms 596 KB Output is correct
37 Correct 61 ms 596 KB Output is correct
38 Correct 53 ms 468 KB Output is correct
39 Correct 56 ms 652 KB Output is correct
40 Correct 57 ms 468 KB Output is correct
41 Correct 55 ms 564 KB Output is correct
42 Correct 56 ms 568 KB Output is correct
43 Correct 54 ms 572 KB Output is correct
44 Correct 56 ms 568 KB Output is correct
45 Correct 54 ms 568 KB Output is correct
46 Correct 55 ms 568 KB Output is correct

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 4 ms 1932 KB Output is correct
7 Correct 3 ms 2188 KB Output is correct
8 Correct 3 ms 2316 KB Output is correct
9 Correct 3 ms 2280 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 328 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 324 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 0 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 328 KB Output is correct
33 Correct 1 ms 328 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 14 ms 596 KB Output is correct
45 Correct 14 ms 596 KB Output is correct
46 Correct 61 ms 596 KB Output is correct
47 Correct 53 ms 468 KB Output is correct
48 Correct 56 ms 652 KB Output is correct
49 Correct 57 ms 468 KB Output is correct
50 Correct 55 ms 564 KB Output is correct
51 Correct 56 ms 568 KB Output is correct
52 Correct 54 ms 572 KB Output is correct
53 Correct 56 ms 568 KB Output is correct
54 Correct 54 ms 568 KB Output is correct
55 Correct 55 ms 568 KB Output is correct
56 Correct 6 ms 468 KB Output is correct
57 Correct 8 ms 532 KB Output is correct
58 Correct 1 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 1 ms 212 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 3 ms 1932 KB Output is correct
64 Correct 4 ms 2188 KB Output is correct
65 Correct 4 ms 2316 KB Output is correct
66 Correct 3 ms 2300 KB Output is correct
67 Correct 1 ms 332 KB Output is correct
68 Correct 0 ms 344 KB Output is correct
69 Correct 1 ms 216 KB Output is correct
70 Correct 1 ms 216 KB Output is correct
71 Correct 1 ms 328 KB Output is correct
72 Correct 1 ms 220 KB Output is correct
73 Correct 0 ms 220 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 0 ms 328 KB Output is correct
76 Correct 1 ms 328 KB Output is correct
77 Correct 1 ms 212 KB Output is correct
78 Correct 1 ms 220 KB Output is correct
79 Correct 0 ms 212 KB Output is correct
80 Correct 1 ms 216 KB Output is correct
81 Correct 1 ms 328 KB Output is correct
82 Correct 0 ms 340 KB Output is correct
83 Correct 0 ms 212 KB Output is correct
84 Correct 15 ms 592 KB Output is correct
85 Correct 15 ms 596 KB Output is correct
86 Correct 54 ms 588 KB Output is correct
87 Correct 52 ms 524 KB Output is correct
88 Correct 52 ms 644 KB Output is correct
89 Correct 54 ms 544 KB Output is correct
90 Correct 55 ms 464 KB Output is correct
91 Correct 56 ms 464 KB Output is correct
92 Correct 53 ms 468 KB Output is correct
93 Correct 53 ms 568 KB Output is correct
94 Correct 58 ms 572 KB Output is correct
95 Correct 55 ms 552 KB Output is correct
96 Execution timed out 2066 ms 2504 KB Time limit exceeded
97 Halted 0 ms 0 KB -