#include <bits/stdc++.h>

typedef long long ll;
typedef unsigned long long ull;

#define FOR(i,a,b) for(int (i)=(a);i<(b);i++)
#define REP(i,n) FOR(i,0,n)
#define RANGE(vec) (vec).begin(),(vec).end()

using namespace std;


class FinalEvolution
{
public:
    void solve(void)
    {
            int N;
            cin>>N;

            int M = N+1;
            vector<int> S(M);

            int maxS = 0;
            REP(i,M)
            {
                cin>>S[i];
                maxS = max(maxS, S[i]);
            }

            // dp[i][j] := i 番目のカードの覚醒数を j にするために必要な最低限の数
            vector<vector<ll>> dp(M,vector<ll>(maxS+1,1<<30));

            dp[0][0] = 1;

            REP(i,M)
            REP(j,S[i]+1)
            {
                if ( i >= 1 )
                    dp[i][j] = dp[i-1][j]+1;
                REP(k,j)
                    dp[i][j] = min(dp[i][j], dp[i][j-k-1] + dp[i][k]);
            }
            REP(i,S[N]+1)
            {
                cout<<dp[N][i];
                if ( i < S[N] )
                    cout<<" ";
            }
            cout<<endl;
    }
};

#if 1
int main(int argc, char *argv[])
{
        ios::sync_with_stdio(false);
        auto obj = new FinalEvolution();
        obj->solve();
        delete obj;
        return 0;
}
#endif