This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long double ld;
typedef long long ll;
constexpr int N = 15;
int h[N];
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
string S;
cin >> S;
int n = S.size();
for(char c : S) {
h[c - 'A'] = 1;
}
for(int i = 0, it = 0; i < N; i++)
if(h[i])
h[i] = it++;
ll res = n * n;
vector<ll> dp(1 << N, ll(n) * ll(n));
dp[0] = 0;
for(int i = 1; i < 1 << N; i++) {
for(int j = 0; j < N; j++) {
if(i & (1 << j)) {
ll ans = dp[i ^ (1 << j)];
vector<ll> rem(n);
for(int k = 0, it = 0, sum = 0; k < n; k++) {
if(h[S[k] - 'A'] == j) {
rem[k] = it++ + 2 * sum;
ans += rem[k];
}
else if(i & (1 << h[S[k] - 'A']))
sum++;
}
ll mini = ans;
for(int k = n - 1, it = 0, sum = 0; k>= 0; k--) {
if(h[S[k] - 'A'] == j) {
ans -= rem[k];
ans += it++ + 2 * sum;
}
else if(i & (1 << h[S[k] - 'A']))
sum++;
mini = min(mini, ans);
}
dp[i] = min(dp[i], mini);
}
}
}
cout << fixed << setprecision(6) << ld(dp[(1 << N) - 1]) / 2.0;
}
Compilation message (stderr)
passes.cpp: In function 'int main()':
passes.cpp:23:8: warning: unused variable 'res' [-Wunused-variable]
23 | ll res = n * n;
| ^~~
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