Submission #612296

#TimeUsernameProblemLanguageResultExecution timeMemory
612296cheissmartSeesaw (JOI22_seesaw)C++14
0 / 100
1 ms340 KiB
#include <bits/stdc++.h> #define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0); #define F first #define S second #define V vector #define PB push_back #define EB emplace_back #define MP make_pair #define SZ(v) int((v).size()) #define ALL(v) (v).begin(), (v).end() using namespace std; typedef long long ll; typedef pair<int, int> pi; typedef V<int> vi; typedef long double db; string _reset = "\u001b[0m", _yellow = "\u001b[33m", _bold = "\u001b[1m"; void DBG() { cerr << "]" << _reset << endl; } template<class H, class...T> void DBG(H h, T ...t) { cerr << to_string(h); if(sizeof ...(t)) cerr << ", "; DBG(t...); } #ifdef CHEISSMART #define debug(...) cerr << _yellow << _bold << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__) #else #define debug(...) #endif const int INF = 1e9 + 7, N = 2e5 + 6; const ll oo = 1e18; int a[N]; ll p[N]; signed main() { IO_OP; cout << fixed << setprecision(12); int n; cin >> n; for(int i = 1; i <= n; i++) { cin >> a[i]; p[i] = p[i - 1] + a[i]; } V<db> aux; for(int i = 1; i <= n; i++) { for(int j = i; j <= n; j++) { aux.PB(db(p[j] - p[i - 1]) / (j - i + 1)); } } sort(ALL(aux)); aux.resize(unique(ALL(aux)) - aux.begin()); auto go = [&] (double mn) { V<V<db>> dp(n + 1, V<db>(n + 1, oo)); for(int len = 1; len <= n; len++) { for(int i = 1; i + len - 1 <= n; i++) { int j = i + len - 1; db tt = db(p[j] - p[i - 1]) / (j - i + 1); if(tt >= mn) { if(i == j) dp[i][j] = tt; else { dp[i][j] = max(min(dp[i][j - 1], dp[i + 1][j]), tt); } } } } return dp[1][n] - mn; }; int pos = find(ALL(aux), db(p[n]) / n) - aux.begin(); int lb = 0, rb = pos - 1; while(lb <= rb) { int mb = (lb + rb) / 2; if(go(aux[mb]) < go(aux[mb + 1])) rb = mb - 1; else lb = mb + 1; } cout<< go(aux[lb]) << '\n'; }
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