#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);

    int n;
    cin >> n;
    vector<int> s(n + 1);
    for(int i = 0; i <= n; i++) cin >> s[i];

    vector<vector<ll>> dp(n + 2, vector<ll>(11, 1ll << 60));
    dp[0][0] = 1;

    for(int i = 0; i <= n; i++){
        for(int j = 0; j <= s[i]; j++){
            for(int k = 0; k <= s[i] && j + k + 1 <= s[i]; k++){
                dp[i][j + k + 1] = min(dp[i][j + k + 1], dp[i][j] + dp[i][k]);
            }
            dp[i + 1][j] = min(dp[i + 1][j], dp[i][j] + 1);
        }
    }

    for(int i = 0; i <= s[n]; i++){
        cout << dp[n][i] << (i == s[n] ? '\n' : ' ');
    }
}