#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;
}
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
- |