#include<bits/stdc++.h>
using namespace std;
///vector
#define SZ(x) (int)x.size()
using ld = long double;
const int MAXN = 2e5;
const int INF32 = 1e9;
template <class X, class Y> bool minimize(X &x, const Y &y) { if(x > y) { x = y; return 1; } return 0; }
template <class X, class Y> bool maximize(X &x, const Y &y) { if(x < y) { x = y; return 1; } return 0; }
///input
int N;
int A[MAXN+5];
namespace sub1 {
ld Ans = INF32;
void brute_force(int l, int r, ld sum, ld MinPos, ld MaxPos) {
if(r == l) {
minimize(Ans, MaxPos - MinPos);
return;
}
int len = r - l;
ld tmp_sum = sum - A[l], bary = tmp_sum/len;
brute_force(l + 1, r, tmp_sum, min(MinPos, bary), max(MaxPos, bary));
tmp_sum = sum - A[r], bary = tmp_sum/len;
brute_force(l, r - 1, tmp_sum, min(MinPos, bary), max(MaxPos, bary));
}
void solution() {
ld sum = 0;
for(int i = 1; i <= N; i++) {
sum += A[i];
}
brute_force(1, N, sum, sum/N, sum/N);
cout << Ans;
}
bool check() {
return (N <= 20);
}
}
void solution() {
cin >> N;
for(int i = 1; i <= N; i++) {
cin >> A[i];
}
cout << setprecision(10) << fixed;
if(sub1::check()) return sub1::solution();
}
#define FILE "task"
main() {
if(fopen(FILE".in","r")) {
freopen(FILE".in","r",stdin);
freopen(FILE".out","w",stdout);
}
cin.tie(nullptr)->ios_base::sync_with_stdio(false);
solution();
cerr << "\n" << clock() << " ms";
return 0;
}
Compilation message (stderr)
seesaw.cpp:61:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
61 | main() {
| ^~~~
seesaw.cpp: In function 'int main()':
seesaw.cpp:63:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
63 | freopen(FILE".in","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
seesaw.cpp:64:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
64 | freopen(FILE".out","w",stdout);
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