/*
* File created on 07/19/2022 at 15:24:35.
* Link to problem:
* Description:
* Time complexity: O()
* Space complexity: O()
* Status: ---
* Copyright: Ⓒ 2022 Francois Vogel
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define pii pair<int, int>
#define f first
#define s second
#define vi vector<int>
#define all(x) x.begin(), x.end()
#define size(x) (int)((x).size())
#define pb push_back
#define ins insert
#define cls clear
#define int ll
#define ll long long
#define ld long double
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
signed main() {
cin.tie(0);
ios_base::sync_with_stdio(0);
string b;
cin >> b;
const int n = size(b);
int gK = 0;
for (char i : b) if (i-'A'+1 > gK) gK = i-'A'+1;
vi toPermute;
for (int i = 0; i < gK; i++) toPermute.pb(i);
ld offMin = n*n;
do {
for (int i = 0; i < n; i++) {
b[i] = char('A'+toPermute[b[i]-'A']);
}
ld res = 0;
for (int i = 0; i < gK; i++) {
vi pos;
for (int j = 0; j < n; j++) if (b[j]-'A' == i) {
pos.pb(j);
}
if (pos.empty()) continue;
int pref [n];
for (int j = 0; j < n; j++) pref[j] = (b[j]-'A' < i);
for (int j = 1; j < n; j++) pref[j] += pref[j-1];
int suf [n];
for (int j = 0; j < n; j++) suf[j] = (b[j]-'A' < i);
for (int j = n-2; j >= 0; j--) suf[j] += suf[j+1];
for (int j = 0; j < size(pos); j++) {
ld dl = 0;
if (pos[j]) dl = pref[pos[j]-1];
ld dr = 0;
if (pos[j]+1 < n) dr = suf[pos[j]+1];
ld cl = j;
ld cr = size(pos)-1-j;
res += min(dl+cl/2, dr+cr/2);
}
}
offMin = min(offMin, res);
vi invToPermute(gK);
for (int i = 0; i < gK; i++) invToPermute[toPermute[i]] = i;
for (int i = 0; i < n; i++) {
b[i] = char('A'+invToPermute[b[i]-'A']);
}
} while (next_permutation(all(toPermute)));
cout.precision(20);
cout << offMin;
cout.flush();
int d = 0;
d++;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
316 KB |
Output is correct |
6 |
Correct |
4 ms |
2572 KB |
Output is correct |
7 |
Correct |
4 ms |
2948 KB |
Output is correct |
8 |
Correct |
5 ms |
3084 KB |
Output is correct |
9 |
Correct |
5 ms |
3076 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
49 ms |
332 KB |
Output is correct |
4 |
Correct |
46 ms |
316 KB |
Output is correct |
5 |
Correct |
45 ms |
304 KB |
Output is correct |
6 |
Correct |
5 ms |
212 KB |
Output is correct |
7 |
Correct |
41 ms |
212 KB |
Output is correct |
8 |
Correct |
12 ms |
212 KB |
Output is correct |
9 |
Correct |
17 ms |
320 KB |
Output is correct |
10 |
Correct |
16 ms |
320 KB |
Output is correct |
11 |
Correct |
13 ms |
320 KB |
Output is correct |
12 |
Correct |
15 ms |
212 KB |
Output is correct |
13 |
Correct |
14 ms |
324 KB |
Output is correct |
14 |
Correct |
15 ms |
212 KB |
Output is correct |
15 |
Correct |
18 ms |
320 KB |
Output is correct |
16 |
Correct |
19 ms |
320 KB |
Output is correct |
17 |
Correct |
14 ms |
312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
49 ms |
332 KB |
Output is correct |
4 |
Correct |
46 ms |
316 KB |
Output is correct |
5 |
Correct |
45 ms |
304 KB |
Output is correct |
6 |
Correct |
5 ms |
212 KB |
Output is correct |
7 |
Correct |
41 ms |
212 KB |
Output is correct |
8 |
Correct |
12 ms |
212 KB |
Output is correct |
9 |
Correct |
17 ms |
320 KB |
Output is correct |
10 |
Correct |
16 ms |
320 KB |
Output is correct |
11 |
Correct |
13 ms |
320 KB |
Output is correct |
12 |
Correct |
15 ms |
212 KB |
Output is correct |
13 |
Correct |
14 ms |
324 KB |
Output is correct |
14 |
Correct |
15 ms |
212 KB |
Output is correct |
15 |
Correct |
18 ms |
320 KB |
Output is correct |
16 |
Correct |
19 ms |
320 KB |
Output is correct |
17 |
Correct |
14 ms |
312 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
50 ms |
304 KB |
Output is correct |
21 |
Correct |
45 ms |
300 KB |
Output is correct |
22 |
Correct |
45 ms |
304 KB |
Output is correct |
23 |
Correct |
6 ms |
320 KB |
Output is correct |
24 |
Correct |
41 ms |
296 KB |
Output is correct |
25 |
Correct |
14 ms |
212 KB |
Output is correct |
26 |
Correct |
18 ms |
312 KB |
Output is correct |
27 |
Correct |
14 ms |
212 KB |
Output is correct |
28 |
Correct |
14 ms |
316 KB |
Output is correct |
29 |
Correct |
15 ms |
320 KB |
Output is correct |
30 |
Correct |
14 ms |
320 KB |
Output is correct |
31 |
Correct |
14 ms |
316 KB |
Output is correct |
32 |
Correct |
15 ms |
324 KB |
Output is correct |
33 |
Correct |
14 ms |
212 KB |
Output is correct |
34 |
Correct |
15 ms |
320 KB |
Output is correct |
35 |
Execution timed out |
2085 ms |
856 KB |
Time limit exceeded |
36 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 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 |
320 KB |
Output is correct |
5 |
Correct |
1 ms |
316 KB |
Output is correct |
6 |
Correct |
4 ms |
2572 KB |
Output is correct |
7 |
Correct |
4 ms |
2948 KB |
Output is correct |
8 |
Correct |
5 ms |
3084 KB |
Output is correct |
9 |
Correct |
5 ms |
3076 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
49 ms |
332 KB |
Output is correct |
13 |
Correct |
46 ms |
316 KB |
Output is correct |
14 |
Correct |
45 ms |
304 KB |
Output is correct |
15 |
Correct |
5 ms |
212 KB |
Output is correct |
16 |
Correct |
41 ms |
212 KB |
Output is correct |
17 |
Correct |
12 ms |
212 KB |
Output is correct |
18 |
Correct |
17 ms |
320 KB |
Output is correct |
19 |
Correct |
16 ms |
320 KB |
Output is correct |
20 |
Correct |
13 ms |
320 KB |
Output is correct |
21 |
Correct |
15 ms |
212 KB |
Output is correct |
22 |
Correct |
14 ms |
324 KB |
Output is correct |
23 |
Correct |
15 ms |
212 KB |
Output is correct |
24 |
Correct |
18 ms |
320 KB |
Output is correct |
25 |
Correct |
19 ms |
320 KB |
Output is correct |
26 |
Correct |
14 ms |
312 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
50 ms |
304 KB |
Output is correct |
30 |
Correct |
45 ms |
300 KB |
Output is correct |
31 |
Correct |
45 ms |
304 KB |
Output is correct |
32 |
Correct |
6 ms |
320 KB |
Output is correct |
33 |
Correct |
41 ms |
296 KB |
Output is correct |
34 |
Correct |
14 ms |
212 KB |
Output is correct |
35 |
Correct |
18 ms |
312 KB |
Output is correct |
36 |
Correct |
14 ms |
212 KB |
Output is correct |
37 |
Correct |
14 ms |
316 KB |
Output is correct |
38 |
Correct |
15 ms |
320 KB |
Output is correct |
39 |
Correct |
14 ms |
320 KB |
Output is correct |
40 |
Correct |
14 ms |
316 KB |
Output is correct |
41 |
Correct |
15 ms |
324 KB |
Output is correct |
42 |
Correct |
14 ms |
212 KB |
Output is correct |
43 |
Correct |
15 ms |
320 KB |
Output is correct |
44 |
Execution timed out |
2085 ms |
856 KB |
Time limit exceeded |
45 |
Halted |
0 ms |
0 KB |
- |