/*input
ABABABAB
*/
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll dp[1 << 15];
int main()
{
ios_base::sync_with_stdio(false);
string s;
cin >> s;
for (int i = 0; i < (1 << 15); i++)
dp[i] = 1e18;
dp[0] = 0;
vector<int>p[15];
for (int i = 0; i < (int)s.size(); i++)
p[s[i] - 'A'].push_back(i);
int G = 15;
while (p[G - 1].empty())
G--;
for (int msk = 0; msk < (1 << G); msk++)
{
for (int v = 0; v < G; v++)
{
if ((msk & (1 << v)) == 0)
{
int msk1 = msk ^ (1 << v);
ll L[p[v].size() + 2];
ll R[p[v].size() + 2];
for (ll i = 0; i <= (int)p[v].size(); i++)
{
L[i] = 0;
R[i] = 0;
}
for (int j = 0; j < (int)s.size(); j++)
{
if (((1 << (s[j] - 'A'))&msk) != 0)
{
auto it = lower_bound(p[v].begin(), p[v].end(), j);
L[(it - p[v].begin()) + 1] += 4;
R[(p[v].end() - it) + 1] += 4;
//cout << ";" << (char)('A' + v) << " " << s[j] << " " << j << " " << (it - p[v].begin()) + 1 << " " << (p[v].end() - it) + 1 << endl;
}
}
for (ll i = 1; i <= (int)p[v].size(); i++)
L[i] += L[i - 1];
for (ll i = 1; i <= (int)p[v].size(); i++)
L[i] += L[i - 1];
for (ll i = 1; i <= (int)p[v].size(); i++)
R[i] += R[i - 1];
for (ll i = 1; i <= (int)p[v].size(); i++)
{
R[i] += R[i - 1];
//cout << (char)('A' + v) << " " << i << " " << L[i] / 4 << " " << R[i] / 4 << endl;
}
for (ll i = 1; i <= (int)p[v].size(); i++)
L[i] += i * (i - 1);
for (ll i = 1; i <= (int)p[v].size(); i++)
R[i] += i * (i - 1);
ll best = 1e18;
for (int l = 0; l <= (int)p[v].size(); l++)
{
best = min(best, L[l] + R[(int)p[v].size() - l]);
}
dp[msk1] = min(dp[msk1], dp[msk] + best);
}
}
}
ll ret = dp[(1 << G) - 1];
cout << ret / 4;
if (ret % 4 == 2)
{
cout << ".5";
}
else if (ret % 4 != 0)
{
cout << "." << 25 * (ret % 4);
}
cout << "\n";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
0 ms |
468 KB |
Output is correct |
| 4 |
Correct |
0 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
596 KB |
Output is correct |
| 6 |
Correct |
3 ms |
2448 KB |
Output is correct |
| 7 |
Correct |
3 ms |
2704 KB |
Output is correct |
| 8 |
Correct |
4 ms |
2832 KB |
Output is correct |
| 9 |
Correct |
4 ms |
2832 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
468 KB |
Output is correct |
| 2 |
Correct |
0 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
468 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
580 KB |
Output is correct |
| 6 |
Correct |
1 ms |
452 KB |
Output is correct |
| 7 |
Correct |
1 ms |
460 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
468 KB |
Output is correct |
| 10 |
Correct |
0 ms |
468 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
452 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
468 KB |
Output is correct |
| 17 |
Correct |
1 ms |
468 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
468 KB |
Output is correct |
| 2 |
Correct |
0 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
468 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
580 KB |
Output is correct |
| 6 |
Correct |
1 ms |
452 KB |
Output is correct |
| 7 |
Correct |
1 ms |
460 KB |
Output is correct |
| 8 |
Correct |
1 ms |
468 KB |
Output is correct |
| 9 |
Correct |
1 ms |
468 KB |
Output is correct |
| 10 |
Correct |
0 ms |
468 KB |
Output is correct |
| 11 |
Correct |
1 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
452 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
468 KB |
Output is correct |
| 17 |
Correct |
1 ms |
468 KB |
Output is correct |
| 18 |
Correct |
1 ms |
468 KB |
Output is correct |
| 19 |
Correct |
0 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
468 KB |
Output is correct |
| 21 |
Correct |
1 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
468 KB |
Output is correct |
| 23 |
Correct |
0 ms |
460 KB |
Output is correct |
| 24 |
Correct |
1 ms |
468 KB |
Output is correct |
| 25 |
Correct |
1 ms |
448 KB |
Output is correct |
| 26 |
Correct |
1 ms |
468 KB |
Output is correct |
| 27 |
Correct |
1 ms |
468 KB |
Output is correct |
| 28 |
Correct |
1 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
468 KB |
Output is correct |
| 30 |
Correct |
1 ms |
468 KB |
Output is correct |
| 31 |
Correct |
1 ms |
576 KB |
Output is correct |
| 32 |
Correct |
1 ms |
468 KB |
Output is correct |
| 33 |
Correct |
1 ms |
468 KB |
Output is correct |
| 34 |
Correct |
1 ms |
468 KB |
Output is correct |
| 35 |
Correct |
31 ms |
964 KB |
Output is correct |
| 36 |
Correct |
31 ms |
852 KB |
Output is correct |
| 37 |
Correct |
812 ms |
672 KB |
Output is correct |
| 38 |
Correct |
334 ms |
716 KB |
Output is correct |
| 39 |
Correct |
198 ms |
852 KB |
Output is correct |
| 40 |
Correct |
470 ms |
648 KB |
Output is correct |
| 41 |
Correct |
798 ms |
596 KB |
Output is correct |
| 42 |
Correct |
785 ms |
692 KB |
Output is correct |
| 43 |
Correct |
820 ms |
696 KB |
Output is correct |
| 44 |
Correct |
792 ms |
676 KB |
Output is correct |
| 45 |
Correct |
787 ms |
704 KB |
Output is correct |
| 46 |
Correct |
796 ms |
696 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
596 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
0 ms |
468 KB |
Output is correct |
| 4 |
Correct |
0 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
596 KB |
Output is correct |
| 6 |
Correct |
3 ms |
2448 KB |
Output is correct |
| 7 |
Correct |
3 ms |
2704 KB |
Output is correct |
| 8 |
Correct |
4 ms |
2832 KB |
Output is correct |
| 9 |
Correct |
4 ms |
2832 KB |
Output is correct |
| 10 |
Correct |
0 ms |
468 KB |
Output is correct |
| 11 |
Correct |
0 ms |
468 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
468 KB |
Output is correct |
| 14 |
Correct |
1 ms |
580 KB |
Output is correct |
| 15 |
Correct |
1 ms |
452 KB |
Output is correct |
| 16 |
Correct |
1 ms |
460 KB |
Output is correct |
| 17 |
Correct |
1 ms |
468 KB |
Output is correct |
| 18 |
Correct |
1 ms |
468 KB |
Output is correct |
| 19 |
Correct |
0 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
468 KB |
Output is correct |
| 21 |
Correct |
1 ms |
468 KB |
Output is correct |
| 22 |
Correct |
1 ms |
452 KB |
Output is correct |
| 23 |
Correct |
1 ms |
468 KB |
Output is correct |
| 24 |
Correct |
1 ms |
468 KB |
Output is correct |
| 25 |
Correct |
1 ms |
468 KB |
Output is correct |
| 26 |
Correct |
1 ms |
468 KB |
Output is correct |
| 27 |
Correct |
1 ms |
468 KB |
Output is correct |
| 28 |
Correct |
0 ms |
468 KB |
Output is correct |
| 29 |
Correct |
1 ms |
468 KB |
Output is correct |
| 30 |
Correct |
1 ms |
468 KB |
Output is correct |
| 31 |
Correct |
1 ms |
468 KB |
Output is correct |
| 32 |
Correct |
0 ms |
460 KB |
Output is correct |
| 33 |
Correct |
1 ms |
468 KB |
Output is correct |
| 34 |
Correct |
1 ms |
448 KB |
Output is correct |
| 35 |
Correct |
1 ms |
468 KB |
Output is correct |
| 36 |
Correct |
1 ms |
468 KB |
Output is correct |
| 37 |
Correct |
1 ms |
468 KB |
Output is correct |
| 38 |
Correct |
1 ms |
468 KB |
Output is correct |
| 39 |
Correct |
1 ms |
468 KB |
Output is correct |
| 40 |
Correct |
1 ms |
576 KB |
Output is correct |
| 41 |
Correct |
1 ms |
468 KB |
Output is correct |
| 42 |
Correct |
1 ms |
468 KB |
Output is correct |
| 43 |
Correct |
1 ms |
468 KB |
Output is correct |
| 44 |
Correct |
31 ms |
964 KB |
Output is correct |
| 45 |
Correct |
31 ms |
852 KB |
Output is correct |
| 46 |
Correct |
812 ms |
672 KB |
Output is correct |
| 47 |
Correct |
334 ms |
716 KB |
Output is correct |
| 48 |
Correct |
198 ms |
852 KB |
Output is correct |
| 49 |
Correct |
470 ms |
648 KB |
Output is correct |
| 50 |
Correct |
798 ms |
596 KB |
Output is correct |
| 51 |
Correct |
785 ms |
692 KB |
Output is correct |
| 52 |
Correct |
820 ms |
696 KB |
Output is correct |
| 53 |
Correct |
792 ms |
676 KB |
Output is correct |
| 54 |
Correct |
787 ms |
704 KB |
Output is correct |
| 55 |
Correct |
796 ms |
696 KB |
Output is correct |
| 56 |
Correct |
13 ms |
468 KB |
Output is correct |
| 57 |
Correct |
37 ms |
468 KB |
Output is correct |
| 58 |
Correct |
1 ms |
596 KB |
Output is correct |
| 59 |
Correct |
1 ms |
456 KB |
Output is correct |
| 60 |
Correct |
1 ms |
456 KB |
Output is correct |
| 61 |
Correct |
1 ms |
468 KB |
Output is correct |
| 62 |
Correct |
1 ms |
584 KB |
Output is correct |
| 63 |
Correct |
3 ms |
2512 KB |
Output is correct |
| 64 |
Correct |
4 ms |
2832 KB |
Output is correct |
| 65 |
Correct |
3 ms |
2960 KB |
Output is correct |
| 66 |
Correct |
4 ms |
2920 KB |
Output is correct |
| 67 |
Correct |
0 ms |
468 KB |
Output is correct |
| 68 |
Correct |
1 ms |
460 KB |
Output is correct |
| 69 |
Correct |
1 ms |
468 KB |
Output is correct |
| 70 |
Correct |
1 ms |
468 KB |
Output is correct |
| 71 |
Correct |
1 ms |
468 KB |
Output is correct |
| 72 |
Correct |
1 ms |
468 KB |
Output is correct |
| 73 |
Correct |
1 ms |
468 KB |
Output is correct |
| 74 |
Correct |
1 ms |
468 KB |
Output is correct |
| 75 |
Correct |
1 ms |
468 KB |
Output is correct |
| 76 |
Correct |
1 ms |
468 KB |
Output is correct |
| 77 |
Correct |
1 ms |
456 KB |
Output is correct |
| 78 |
Correct |
1 ms |
460 KB |
Output is correct |
| 79 |
Correct |
1 ms |
468 KB |
Output is correct |
| 80 |
Correct |
1 ms |
468 KB |
Output is correct |
| 81 |
Correct |
1 ms |
456 KB |
Output is correct |
| 82 |
Correct |
1 ms |
468 KB |
Output is correct |
| 83 |
Correct |
1 ms |
468 KB |
Output is correct |
| 84 |
Correct |
31 ms |
852 KB |
Output is correct |
| 85 |
Correct |
31 ms |
852 KB |
Output is correct |
| 86 |
Correct |
808 ms |
680 KB |
Output is correct |
| 87 |
Correct |
333 ms |
596 KB |
Output is correct |
| 88 |
Correct |
202 ms |
852 KB |
Output is correct |
| 89 |
Correct |
460 ms |
652 KB |
Output is correct |
| 90 |
Correct |
790 ms |
716 KB |
Output is correct |
| 91 |
Correct |
791 ms |
684 KB |
Output is correct |
| 92 |
Correct |
810 ms |
720 KB |
Output is correct |
| 93 |
Correct |
785 ms |
668 KB |
Output is correct |
| 94 |
Correct |
785 ms |
696 KB |
Output is correct |
| 95 |
Correct |
791 ms |
680 KB |
Output is correct |
| 96 |
Execution timed out |
2074 ms |
1364 KB |
Time limit exceeded |
| 97 |
Halted |
0 ms |
0 KB |
- |
