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//
#ifndef __SIZEOF_INT128__
  #define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset =  tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < (k); ++i)
#define per(i, p, k) for(int i(p); i > (k); --i)
#define sz(x) (int)(x).size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fi first
#define se second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
    string name{""};
    time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
    duration<float, std::milli> dur;
    Timer() = default;
    Timer(string nm): name(nm) {}
    ~Timer() {
        end = high_resolution_clock::now(); dur= end - start;
        cout << "@" << name << "> " << dur.count() << " ms" << '\n';
    }
};
template <typename T = int> inline T in()
{
    static T x;
    std::cin >> x;
    return x;
}
std::string yn(bool b)
{
    if(b) return "YES\n";
    else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
    out << '{'<<par.first<<", "<<par.second<<"}";
    return out;
}
#define show(x) cerr << #x << " = " << x << '\n';
std::int32_t main()
{
    std::cout.tie(nullptr); //for luck
    std::cin.tie(nullptr); std::ios_base::sync_with_stdio(0);
    int n(in()), m(in());
    vector <int> v(n);
    rep(i, 0, n)cin >> v[i];
    vector <vector <int>> dp(n, vector <int>(n));
    dp[n-1][n-1] = m;
    per(k, n-2, -1){
        vector <pair <int, int>> s;
        rep(i, k+1, n)s.pb(max(0,dp[k+1][i]+v[i]), i);
        sort(all(s), [](auto a, auto b){
            if(a.first != b.first)return a.first < b.first;
            return a.second > b.second;
        });
        int l((sz(s)+1)/2);
        ll d(m);
        for(auto [i, j]: s)d -= i;
        rep(i, 0, l){
            d += s.back().first;
            s.pop_back();
        }
        if(d < 0){
            dp[k][k] = -1e9;
            rep(i, k+1, n)dp[k][i] = dp[k+1][i];
        }
        else{
            dp[k][k] = d;
            for(auto [i, j]: s)dp[k][j] = i;
        }
    }
    for(auto i: dp[0])cout << (i < 0 ? -1 : i) << ' ';
    cout << '\n';
    return 0;
}