| # | Time | Username | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 871004 | Trisanu_Das | Seesaw (JOI22_seesaw) | C++17 | 0 ms | 0 KiB |
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;
int n;
double a[200005], pref[200005], dp[200005][200005], ans;
double rec(double l){
for(int i = 0; i < n + 1; i++) for(int j = 0; j < n + 1; j++) dp[i][j] = INT_MAX;
for(int i = 0; i < n; i++) if(a[i] > l) dp[i][i] = a[i];
for(int ll = 2; ll < n + 1; ll++){
for(int i = 0; i + ll - 1 < n; i++){
int j = i + ll - 1;
if(pref[j + 1] - pref[i] < l * (j - i + 1)) continue;
dp[i][j] = (pref[j + 1] - pref[i]) / (j - i + 1);
dp[i][j] = max(dp[i][j], min(dp[i + 1][j], dp[i][j - 1]));
}
}
return dp[0][n - 1];
}
int main(){
cin >> n;
for(int i = 0; i < n; i++) cin >> a[i];
sort(a, a + n);
ans = a[n - 1] - a[0];
pref[0] = a[0];
for(int i = 1; i < n; i++) pref[i] = pref[i - 1] + a[i];
for(int i = 0; i < n; i++){
for(int j = i; j < n; j++){
double l = (pref[j + 1] - pref[i]) / (j - i + 1);
ans = min(ans, rec(l) - l);
}
}
cout << fixed << setprecision(9) << ans << '\n';
}