Submission #674206

#TimeUsernameProblemLanguageResultExecution timeMemory
674206stanislavpolynBoarding Passes (BOI22_passes)C++17
5 / 100
5 ms2704 KiB
#include <bits/stdc++.h> #define fr(i, a, b) for (int i = (a); i <= (b); ++i) #define rf(i, a, b) for (int i = (a); i >= (b); --i) #define fe(x, y) for (auto& x : y) #define fi first #define se second #define pb push_back #define mp make_pair #define mt make_tuple #define all(x) (x).begin(), (x).end() #define pw(x) (1LL << (x)) #define sz(x) (int)(x).size() using namespace std; mt19937_64 rng(228); #include <ext/pb_ds/assoc_container.hpp> using namespace __gnu_pbds; template <typename T> using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #define fbo find_by_order #define ook order_of_key template <typename T> bool umn(T& a, T b) { return a > b ? a = b, 1 : 0; } template <typename T> bool umx(T& a, T b) { return a < b ? a = b, 1 : 0; } using ll = long long; using ld = long double; using pii = pair<int, int>; using pll = pair<ll, ll>; template <typename T> using ve = vector<T>; string s; ve<int> v[26]; int main() { #ifdef LOCAL freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); #else ios::sync_with_stdio(0); cin.tie(0); #endif cin >> s; // fr (i, 1, 899) s.pb('A'); fr (i, 0, sz(s) - 1) { v[s[i] - 'A'].pb(i); } ve<int> p; fr (i, 0, 25) { if (sz(v[i])) { p.pb(i); } } ld res = 1e18; ve<bool> act(sz(s)); ve<int> P(sz(s)); ve<int> S(sz(s)); ve<int> SS(sz(s)); ve<int> PP(sz(s)); do { fill(all(act), 0); ld ans = 0; fe (x, p) { fr (i, 0, sz(v[x]) - 1) { PP[i] = P[v[x][i]]; if (i > 0) PP[i] += PP[i - 1]; } rf (i, sz(v[x]) - 1, 0) { SS[i] = S[v[x][i]]; if (i + 1 < sz(v[x])) SS[i] += SS[i + 1]; } ld best = 1e18; fr (pref, 0, sz(v[x])) { ld now = 0; if (pref - 1 >= 0) now += PP[pref - 1]; if (pref < sz(v[x])) now += SS[pref]; // fr (i, 0, pref - 1) { // now += P[v[x][i]]; // } // fr (i, pref, sz(v[x]) - 1) { // now += S[v[x][i]]; // } now += ld(0.5) * pref * (pref - 1) / 2; int suff = sz(v[x]) - pref; now += ld(0.5) * suff * (suff - 1) / 2; // if (abs(now - 2) <= 1e-7) { // cout << pref << " " << suff << "\n"; // } umn(best, now); } fe (cur, v[x]) act[cur] = 1; fr (i, 0, sz(s) - 1) { P[i] = act[i]; if (i > 0) P[i] += P[i - 1]; } rf (i, sz(s) - 1, 0) { S[i] = act[i]; if (i + 1 < sz(s)) { S[i] += S[i + 1]; } } // cout << "Add " << best << " " << char(x + 'A') << "\n"; ans += best; } // cout << "\n"; umn(res, ans); } while (next_permutation(all(p))); cout << fixed << setprecision(10) << res << "\n"; return 0; }
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