#include <bits/stdc++.h>
using namespace std;
string str;
long long f[1 << 15];
vector<int> pos[15];
int main() {
ios::sync_with_stdio(0), cin.tie(0);
cin >> str;
int n = *max_element(str.begin(), str.end()) - 'A' + 1;
for (int i = 0; i < str.size(); i++) {
pos[str[i] - 'A'].push_back(i);
}
fill(f + 1, f + (1 << n), 1e18);
for (int S = 0; S < 1 << n; S++) {
for (int i = 0; i < n; i++) if (!(S >> i & 1)) {
if (pos[i].empty()) { f[S | (1 << i)] = f[S]; continue; }
auto calc = [&](int p) {
int c0 = 0, c1 = 0;
long long s = 0;
for (int j = p; ~j; j--) {
if (str[j] - 'A' == i) c0++;
else if (S >> (str[j] - 'A') & 1) s += c0;
}
for (int j = p + 1; j < str.size(); j++) {
if (str[j] - 'A' == i) c1++;
else if (S >> (str[j] - 'A') & 1) s += c1;
}
return 2 * s + 1LL * c0 * (c0 - 1) / 2 + 1LL * c1 * (c1 - 1) / 2;
};
f[S | (1 << i)] = min(f[S | (1 << i)], f[S] + calc(-1));
for (int p = 0; p < (int)pos[i].size(); p++) {
f[S | (1 << i)] = min(f[S | (1 << i)], f[S] + calc(pos[i][p]));
}
}
}
cout << f[(1 << n) - 1] / 2 << (f[(1 << n) - 1] % 2 ? ".5" : "") << "\n";
return 0;
}
Compilation message
passes.cpp: In function 'int main()':
passes.cpp:12:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
12 | for (int i = 0; i < str.size(); i++) {
| ~~^~~~~~~~~~~~
passes.cpp: In lambda function:
passes.cpp:26:39: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
26 | for (int j = p + 1; j < str.size(); j++) {
| ~~^~~~~~~~~~~~
# |
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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Execution timed out |
2084 ms |
1172 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
2 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 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 |
2 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 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 |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
2 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 |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
0 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 |
Execution timed out |
2098 ms |
340 KB |
Time limit exceeded |
36 |
Halted |
0 ms |
0 KB |
- |
# |
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 |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Execution timed out |
2084 ms |
1172 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |