/*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);
if (p[v].empty())
dp[msk1] = min(dp[msk1], dp[msk]);
else
{
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 = upper_bound(p[v].begin(), p[v].end(), j);
L[it - p[v].begin() + 1] += 4;
R[p[v].end() - it + 1] += 4;
}
}
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] += i * (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] += 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 |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 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 |
2320 KB |
Output is correct |
7 |
Correct |
3 ms |
2704 KB |
Output is correct |
8 |
Correct |
3 ms |
2832 KB |
Output is correct |
9 |
Correct |
3 ms |
2832 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Incorrect |
1 ms |
468 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
0 ms |
468 KB |
Output is correct |
3 |
Incorrect |
1 ms |
468 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
1 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 |
2320 KB |
Output is correct |
7 |
Correct |
3 ms |
2704 KB |
Output is correct |
8 |
Correct |
3 ms |
2832 KB |
Output is correct |
9 |
Correct |
3 ms |
2832 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Incorrect |
1 ms |
468 KB |
Output isn't correct |
13 |
Halted |
0 ms |
0 KB |
- |