Submission #723150

#TimeUsernameProblemLanguageResultExecution timeMemory
723150drdilyorBoarding Passes (BOI22_passes)C++17
25 / 100
2070 ms676 KiB
#include<bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; ld exp_inv(ll x) { return x * (x-1) / 2.0l; } int main() { char a = 'A'; string s; cin >> s; const int G = 7; int n = s.size(); vector memo(1<<G, (ld)-1); auto dp = [&](auto& dp, int used)->ld{ if (memo[used] >= 0) return memo[used]; if (__builtin_popcount(used) == G) return 0; ld res = 1e18; for (int i = 0 ;i < G; i++) { ld cur = 1e18; if (used&1<<i) continue; vector has(n, 0); for (int j = 0; j < n; j++) { if (used& 1<<(s[j] - a)) has[j] = 1; } for (int mid = 1; mid < n; mid++) { ll sum = 0; ll t= 0, c1{}, c2{}; for (int j = 0; j < mid; j++) { if (s[j] == i + a) sum += t, c1++; else t += has[j]; } t = 0; for (int j = n-1; j >= mid; j--) { if (s[j] == i + a) sum += t, c2++; else t += has[j]; } cur = min(cur, sum + (exp_inv(c1) + exp_inv(c2)) / 2); } res = min(res, cur + dp(dp, used |1<<i)); } return memo[used] = res; }; cout << dp(dp, 0) << '\n'; }
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