#define REP(i,n) for(int i=0; i<(int)(n); i++)

#include <queue>
#include <cstdio>
inline int getInt(){ int s; scanf("%d", &s); return s; }

#include <set>

using namespace std;

int dp[16][16];

int main(){
  const int n = getInt();
  vector<int> s(n + 1);
  REP(i,n+1) s[i] = getInt();

  const int inf = 1 << 29;
  REP(i,n+1) REP(j,s[i]+1) dp[i][j] = inf;

  dp[0][0] = 1;
  REP(i,n+1){
    if(i != 0){
      REP(j,s[i-1]+1) dp[i][j] = dp[i-1][j] + 1;
    }

    REP(j,s[i]+1){
      REP(k,j) dp[i][j] = min(dp[i][j], dp[i][k] + dp[i][j - k - 1]);
      // printf("%d %d: %2d\n", i, j, dp[i][j] == inf ? -1 : dp[i][j]);
    }
  }


  REP(i,s[n]+1) printf("%d ", dp[n][i]); puts("");

  return 0;
}