#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#define popcount __builtin_popcount
using namespace std;
typedef long long int ll;
typedef pair<int, ll> P;
template<typename T, bool ismin=true>
struct ConvexHullTrickMonotone{
	using P=pair<T, T>;
	deque<P> deq;
	ConvexHullTrickMonotone(){}
	void add(T a, T b){
		if(!ismin) a*=(-1), b*=(-1);
		if(deq.empty()){
			deq.push_back({a, b});
			return;
		}
		if(deq.back().first>=a){
			if(deq.back().first==a && deq.back().second<=b) return;
			while(deq.size()>1){
				T a1=deq.back().first, b1=deq.back().second;
				T a2=deq[deq.size()-2].first, b2=deq[deq.size()-2].second;
				if((b1-b2)*(a1-a)<(b-b1)*(a2-a1)) break;
				deq.pop_back();
			}
			deq.push_back({a, b});
		}else{
			while(deq.size()>1){
				T a1=deq.front().first, b1=deq.front().second;
				T a2=deq[1].first, b2=deq[1].second;
				if((b1-b2)*(a1-a)>(b-b1)*(a2-a1)) break;
				deq.pop_front();
			}
			deq.push_front({a, b});
		}
	}
	T get(T x, bool isinc){
		if(isinc){
			while(deq.size()>1){
				T a1=deq.front().first, b1=deq.front().second;
				T a2=deq[1].first, b2=deq[1].second;
				if(a1*x+b1<a2*x+b2) break;
				deq.pop_front();
			}
			T ret=deq.front().first*x+deq.front().second;
			if(ismin) return ret;
			else return -ret;
		}else{
			while(deq.size()>1){
				T a1=deq.back().first, b1=deq.back().second;
				T a2=deq[deq.size()-2].first, b2=deq[deq.size()-2].second;
				if(a1*x+b1<a2*x+b2) break;
				deq.pop_back();
			}
			T ret=deq.back().first*x+deq.back().second;
			if(ismin) return ret;
			else return -ret;
		}
	}
	void clear(){
		deq.clear();
	}
};
typedef __int128_t lll;
int n;
ll a[200020];
ll s[200020];
ll ans[200020];
void solve(int l, int r){
	if(l>r) return;
	if(l==r){
		ans[l]=min(ans[l], 1+a[l]);
		return;
	}
	int m=(l+r)/2;
	ConvexHullTrickMonotone<lll> cht;
	const ll INF=1e18;
	ll mn=INF;
	for(int i=m; i<=r; i++){
		cht.add(-2*(i+1), (ll)(i+1)*(i+1)+s[i+1]);
	}
	for(int i=l; i<=m; i++){
		mn=min(mn, (ll)cht.get(i, true)+(ll)i*i-s[i]);
		ans[i]=min(ans[i], mn);
	}

	cht.clear();
	mn=INF;
	for(int i=l; i<=m; i++){
		cht.add(-2*i, (ll)i*i-s[i]);
	}
	for(int i=r; i>=m; i--){
		mn=min(mn, (ll)cht.get(i+1, false)+(ll)(i+1)*(i+1)+s[i+1]);
		ans[i]=min(ans[i], mn);
	}
	solve(l, m-1);
	solve(m+1, r);
}
int main()
{
	cin>>n;
	s[0]=0;
    for(int i=0; i<n; i++){
        cin>>a[i];
        s[i+1]=s[i]+a[i];
    }
	const ll INF=1e18;
	fill(ans, ans+n, INF);
	solve(0, n-1);
	for(int i=0; i<n; i++){
		printf("%lld\n", ans[i]);
	}
    return 0;
}