#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
typedef long long ll;
typedef long double ld;
using namespace std;
const int N = 2e5 + 5;
int n, a[N];
int prefMn[N], prefMx[N];
int sufMn[N], sufMx[N];
ld check(ld x, int idx) {
	ld mn = prefMn[idx - 1];
	ld mx = prefMx[idx - 1];
	mn = min(mn, sufMn[idx] * x);
	mx = max(mx, sufMx[idx] * x);
	return mx - mn;
}
int main() {
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    cin >> n;
    prefMn[0] = 1e9;
    for(int i = 1;i <= n;i++) {
		cin >> a[i];
		prefMn[i] = min(prefMn[i - 1], a[i]);
		prefMx[i] = max(prefMx[i - 1], a[i]);
	}
	sufMn[n + 1] = 1e9;
	for(int i = n;i >= 1;i--) {
		sufMx[i] = max(sufMx[i + 1], a[i]);
		sufMn[i] = min(sufMn[i + 1], a[i]);
	}
	cout << fixed << setprecision(9);
	cout << (ld)1 << " ";
	for(int i = 2;i <= n;i++) {
		ld low = 0, high = 1, mid1, mid2, ans;
		for(int j = 0;j < 200;j++) {
			mid1 = low + (high - low) / 3;
			mid2 = high - (high - low) / 3;
			ld x = check(1 - mid1, i);
			ld y = check(1 - mid2, i);
			//cout << mid1 << " "<< x << " " << mid2 << " " << y << endl;
			if(x < y || (x == y && mid1 > mid2))
				ans = mid1, high = mid2;
			else
				ans = mid2, low = mid1;
		}
		cout << ans << " ";
	}
    return 0;
}