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#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

#ifdef LOCAL
#include "../debug/debug.h"
#else
#define debug(...)
#define debugArr(...)
#endif

using namespace std;
using namespace __gnu_pbds;

using ll = long long;
using db = long double;
using pi = pair<int,int>;
using pl = pair<ll,ll>;
using vi = vector<int>;
using vl = vector<ll>;
using vb = vector<bool>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vvi = vector<vi>;

#define mp make_pair
#define eb emplace_back
#define pb push_back
#define x first
#define y second
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(), (x).rend() 
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define per(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define ft front()
#define bk back()
#define rsz resize
#define ins insert
#define each(a,x) for(auto&a:x)

template<class T> bool ckmin(T& a, T b) { return b<a?a=b,1:0; }
template<class T> bool ckmax(T& a, T b) { return b>a?a=b,1:0; }
template<class T> int lwb(vector<T>& a, const T& b) { return int(lower_bound(all(a),b)-bg(a)); }
template<class T> int upb(vector<T>& a, const T& b) { return int(upper_bound(all(a),b)-bg(a)); }
template<class T> void remdup(vector<T>& v) { sort(all(v)); v.erase(unique(all(v)),end(v)); }

constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bitlog(int x) { return x == 0 ? 0 : 31 - __builtin_clz(x); }
constexpr int pct(ll x) { return __builtin_popcountll(x); }
constexpr int bitlog(ll x) { return x == 0 ? 0 : 63 - __builtin_clzll(x); }

constexpr ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); }  // divide a by b rounded up
constexpr ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }  // divide a by b rounded down
constexpr int cdiv(int a, int b) { return a / b + ((a ^ b) > 0 && a % b); }  // divide a by b rounded down
constexpr int fdiv(int a, int b) { return a / b - ((a ^ b) < 0 && a % b); }  // divide a by b rounded down

const pi MOVES[] = {{-1, 0}, {0, -1}, {1, 0}, {0, 1}};

#ifdef LOCAL
mt19937_64 rng(0xabadbeef);
#else
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
#endif

ll randr(ll l, ll r) { return uniform_int_distribution<ll>(l, r)(rng); }

constexpr int N = 5e4;
constexpr int A = 65;

using T = uint8_t;
T a[N] alignas(16);
T d[N] alignas(16);
T c[N] alignas(16);

uint16_t siz[2*A-1] alignas(16);
uint16_t by_requested_money[2*A-1][N] alignas(16);

int n, m;

signed main() {
    cin.tie(0)->sync_with_stdio(0);

    cin >> n >> m;
    per(i,0,n) {
        int x;
        cin >> x;
        a[i] = static_cast<T>(x);
    }

    d[0] = min(A - 1, m);
    int carry = m;

    for (uint16_t i = 1; i < static_cast<uint16_t>(n); i++) {
        memset(siz, 0, sizeof siz);

        for (uint16_t j = 0; j < i - 1; j++) {
            c[j] = d[j] + a[j];
        }

        for (uint16_t j = 0; j < i - 1; j++) {
            T k = c[j];
            by_requested_money[k][siz[k]++] = j;
        }

        if (carry + a[i - 1] < A) {
            T k = static_cast<T>(carry + a[i - 1]);
            c[i - 1] = k;
            by_requested_money[k][siz[k]++] = i - 1;
        }

        uint16_t needed = i/2;
        uint16_t votes = 0;
        int money_left = m;

        rep(k,0,A) {
            uint16_t cnt = min(static_cast<uint16_t>(needed - votes), siz[k]);
            votes += cnt;
            money_left -= cnt * k;
        }

        if (money_left < 0) {
            d[i] = -a[i];
            carry = -a[i];
            continue;
        }

        memset(d, 0, sizeof(T) * i);

        carry = money_left;
        d[i] = min(money_left, A - 1);
        
        votes = 0;
        rep(k,0,A) {
            uint16_t cnt = min(static_cast<uint16_t>(needed - votes), siz[k]);
            votes += cnt;
            for (uint16_t j = 0; j < cnt; j++) {
                uint16_t idx = by_requested_money[k][j];
                d[idx] = c[idx];
            }
        }
    }

    if (carry < 0) {
        carry = -1;
    }

    cout << carry << ' ';
    per(i,0,n-1) {
        if (d[i] >= A) {
            cout << "-1 ";
        }
        else {
            cout << static_cast<int>(d[i]) << ' ';
        }
    }

    cout << '\n';

    return 0;
}