/*
PROG: source
LANG: C++11
_____
.' '.
/ 0 0 \
| ^ |
| \ / |
\ '---' /
'._____.'
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
struct chash
{
int operator()(int x) const
{
x ^= (x >> 20) ^ (x >> 12);
return x ^ (x >> 7) ^ (x >> 4);
}
int operator()(long long x) const
{
return x ^ (x >> 32);
}
};
template<typename T> using orderedset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using hashtable = gp_hash_table<T, U, chash>;
template<class T>
void readi(T &x)
{
T input = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
input = input * 10 + (c - '0');
c = getchar();
}
if (negative)
{
input = -input;
}
x = input;
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int aout[20];
int ilen = 0;
while(output)
{
aout[ilen] = ((output % 10));
output /= 10;
ilen++;
}
for (int i = ilen - 1; i >= 0; i--)
{
putchar(aout[i] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
template<class T>
T normalize(T x, T mod = 1000000007)
{
return (((x % mod) + mod) % mod);
}
long long randomizell(long long mod)
{
return ((1ll << 45) * rand() + (1ll << 30) * rand() + (1ll << 15) * rand() + rand()) % mod;
}
int randomize(int mod)
{
return ((1ll << 15) * rand() + rand()) % mod;
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define PF push_front
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define debug(x) cerr << #x << " = " << x << endl;
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-10;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 200013
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
int N;
ll arr[MAXN];
vector<ll> seg[3 * MAXN][2][2];
void beat(vector<ll> &a, vector<ll> b)
{
for (int i = 0; i < b.size(); i++)
{
ckmax(a[i], b[i]);
}
return;
}
vector<ll> comb(vector<ll> lt, vector<ll> rt)
{
vector<ll> res(lt.size() + rt.size() - 1), bumps;
// for (int i = 0; i < lt.size(); i++)
// {
// for (int j = 0; j < rt.size(); j++)
// {
// ckmax(res[i + j], lt[i] + rt[j]);
// }
// }
// return res;
bumps.reserve(lt.size() + rt.size() - 2);
int it = 1, jt = 1;
while(it != lt.size() || jt != rt.size())
{
if (jt == rt.size() || (it != lt.size() && jt != rt.size() && lt[it] - lt[it - 1] >= rt[jt] - rt[jt - 1]))
{
bumps.PB(lt[it] - lt[it - 1]);
it++;
}
else
{
bumps.PB(rt[jt] - rt[jt - 1]);
jt++;
}
}
res[0] = lt[0] + rt[0];
for (int i = 1; i < res.size(); i++)
{
res[i] = res[i - 1] + bumps[i - 1];
}
return res;
}
void solve(int w, int L, int R)
{
seg[w][0][0].resize((R - L + 2)/ 2);
seg[w][0][1].resize((R - L + 3)/ 2);
seg[w][1][0].resize((R - L + 3)/ 2);
seg[w][1][1].resize((R - L + 4)/ 2);
if (L == R)
{
seg[w][1][1][1] = arr[L];
return;
}
int mid = (L + R) >> 1;
solve(2 * w, L, mid);
solve(2 * w + 1, mid + 1, R);
for (int i = 0; i < 2; i++)
{
for (int j = 0; j < 2; j++)
{
beat(seg[w][i][j], comb(seg[2 * w][i][0], seg[2 * w + 1][0][j]));
beat(seg[w][i][j], comb(seg[2 * w][i][0], seg[2 * w + 1][1][j]));
beat(seg[w][i][j], comb(seg[2 * w][i][1], seg[2 * w + 1][0][j]));
}
}
// cerr << "for " << L << ' ' << R << endl;
// cerr << seg[w][1][1][1] << ' ' << seg[w][0][0][0] << endl;
return;
}
int32_t main()
{
ios_base::sync_with_stdio(0);
srand(time(0));
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
if (fopen("input.in", "r"))
{
freopen ("input.in", "r", stdin);
freopen ("output.out", "w", stdout);
}
cin >> N;
for (int i = 0; i < N; i++)
{
cin >> arr[i];
}
solve(1, 0, N - 1);
for (int i = 1; i <= (N + 1) / 2; i++)
{
cout << seg[1][1][1][i] << '\n';
}
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
