Problem: Vasya, like many others, likes to participate in a variety of sweepstakes and lotteries. Now he collects wrappings from a famous chocolate bar "Jupiter". According to the sweepstake rules, each wrapping has an integer written on it — the number of points that the participant adds to his score as he buys the bar. After a participant earns a certain number of points, he can come to the prize distribution center and exchange the points for prizes. When somebody takes a prize, the prize's cost is simply subtracted from the number of his points.

Vasya didn't only bought the bars, he also kept a record of how many points each wrapping cost. Also, he remembers that he always stucks to the greedy strategy — as soon as he could take at least one prize, he went to the prize distribution centre and exchanged the points for prizes. Moreover, if he could choose between multiple prizes, he chose the most expensive one. If after an exchange Vasya had enough points left to get at least one more prize, then he continued to exchange points.

The sweepstake has the following prizes (the prizes are sorted by increasing of their cost): 

  * a mug (costs a points), 
  * a towel (costs b points), 
  * a bag (costs c points), 
  * a bicycle (costs d points), 
  * a car (costs e points). 



Now Vasya wants to recollect what prizes he has received. You know sequence p1, p2, ..., pn, where pi is the number of points Vasya got for the i-th bar. The sequence of points is given in the chronological order. You also know numbers a, b, c, d, e. Your task is to find, how many prizes Vasya received, what prizes they are and how many points he's got left after all operations are completed.

Input

The first line contains a single integer n (1 ≤ n ≤ 50) — the number of chocolate bar wrappings that brought points to Vasya. The second line contains space-separated integers p1, p2, ..., pn (1 ≤ pi ≤ 109). The third line contains 5 integers a, b, c, d, e (1 ≤ a < b < c < d < e ≤ 109) — the prizes' costs.

Output

Print on the first line 5 integers, separated by a space — the number of mugs, towels, bags, bicycles and cars that Vasya has got, respectively. On the second line print a single integer — the number of points Vasya will have left after all operations of exchange are completed.

Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.

Examples

Input

3
3 10 4
2 4 10 15 20


Output

1 1 1 0 0 
1


Input

4
10 4 39 2
3 5 10 11 12


Output

3 0 1 0 3 
0

Note

In the first sample Vasya gets 3 points after eating the first chocolate bar. Then he exchanges 2 points and gets a mug. Vasya wins a bag after eating the second chocolate bar. Then he wins a towel after eating the third chocolate bar. After all chocolate bars 3 - 2 + 10 - 10 + 4 - 4 = 1 points remains.

Solution (in JAVA):

Solution:
    			/*
    		     * Author- Priyam Vora
    		     * BTech 2nd Year DAIICT
    		     */
    		     
    		            
    		    import java.io.*;
    		    import java.math.*;
    		    import java.util.*;
import java.util.concurrent.ConcurrentHashMap;

import javax.print.attribute.SetOfIntegerSyntax;


    		     
    		    public class Practice{
    		    	private static InputStream stream;
    		    	private static byte[] buf = new byte[1024];
    		    	private static int curChar;
    		    	private static int numChars;
    		    	private static SpaceCharFilter filter;
    		    	private static PrintWriter pw;
    		    	private static long count = 0,mod=1000000007;
    		    //	private static TreeSet<Integer> ts=new TreeSet[200000];
    		    
    		        public static void main(String[] args) {
    		        	InputReader(System.in);
    		    		pw = new PrintWriter(System.out); 
    		            new Thread(null ,new Runnable(){
    		               public void run(){
    		                   try{
    		                       soln2();
    		                       pw.close();
    		                   } catch(Exception e){
    		                       e.printStackTrace();
    		                   }
    		               }
    		           },"1",1<<26).start();
    		       }
    		    
    		    	public static long gcd(long x, long y) {
    		    		if (x == 0)
    		    			return y;
    		    		else
    		    			return gcd( y % x,x);
    		    	}
    		    	public static String reverseString(String s) {
    		    		StringBuilder sb = new StringBuilder(s);
    		    		sb.reverse();
    		    		return (sb.toString());
    		    	}
    		    	
    		    	public static long pow(long n, long p) {
    		    		if(p==0)
    		    			return 1;
    		    		if(p==1)
    		    			return n%10;
    		    		if(p%2==0){
    		    			long temp=pow(n, p/2);
    		    		return (temp*temp)%10;
    		    		}else{
    		    			 	long temp=pow(n,p/2);
    		    			 	temp=(temp*temp)%10;
    		    			 	return(temp*n)%10;
    		    			 	
    		    		}
    		    	}
    		     
    		    		
    		     
    		    	public static boolean isPrime(int n) {
    		    		// Corner cases
    		    		if (n <= 1)
    		    			return false;
    		    		if (n <= 3)
    		    			return true;
    		     
    		    		// This is checked so that we can skip 
    		    		// middle five numbers in below loop
    		    		if (n % 2 == 0 || n % 3 == 0)
    		    			return false;
    		     
    		    		for (int i = 5; i * i <= n; i = i + 6)
    		    			if (n % i == 0 || n % (i + 2) == 0)
    		    				return false;
    		     
    		    		return true;
    		    	}
    		     
    		    	// To Get Input
    		    	// Some Buffer Methods
    		     
    		    	public static void InputReader(InputStream stream1) {
    		    		stream = stream1;
    		    	}
    		     
    		    	private static boolean isWhitespace(int c) {
    		    		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    		    	}
    		     
    		    	private static boolean isEndOfLine(int c) {
    		    		return c == '\n' || c == '\r' || c == -1;
    		    	}
    		     
    		    	private static int read() {
    		    		if (numChars == -1)
    		    			throw new InputMismatchException();
    		    		if (curChar >= numChars) {
    		    			curChar = 0;
    		    			try {
    		    				numChars = stream.read(buf);
    		    			} catch (IOException e) {
    		    				throw new InputMismatchException();
    		    			}
    		    			if (numChars <= 0)
    		    				return -1;
    		    		}
    		    		return buf[curChar++];
    		    	}
    		     
    		    	private static int nextInt() {
    		    		int c = read();
    		    		while (isSpaceChar(c))
    		    			c = read();
    		    		int sgn = 1;
    		    		if (c == '-') {
    		    			sgn = -1;
    		    			c = read();
    		    		}
    		    		int res = 0;
    		    		do {
    		    			if (c < '0' || c > '9')
    		    				throw new InputMismatchException();
    		    			res *= 10;
    		    			res += c - '0';
    		    			c = read();
    		    		} while (!isSpaceChar(c));
    		    		return res * sgn;
    		    	}
    		     
    		    	private static long nextLong() {
    		    		int c = read();
    		    		while (isSpaceChar(c))
    		    			c = read();
    		    		int sgn = 1;
    		    		if (c == '-') {
    		    			sgn = -1;
    		    			c = read();
    		    		}
    		    		long res = 0;
    		    		do {
    		    			if (c < '0' || c > '9')
    		    				throw new InputMismatchException();
    		    			res *= 10;
    		    			res += c - '0';
    		    			c = read();
    		    		} while (!isSpaceChar(c));
    		    		return res * sgn;
    		    	}
    		     
    		    	private static String nextToken() {
    		    		int c = read();
    		    		while (isSpaceChar(c))
    		    			c = read();
    		    		StringBuilder res = new StringBuilder();
    		    		do {
    		    			res.appendCodePoint(c);
    		    			c = read();
    		    		} while (!isSpaceChar(c));
    		    		return res.toString();
    		    	}
    		     
    		    	private static String nextLine() {
    		    		int c = read();
    		    		while (isSpaceChar(c))
    		    			c = read();
    		    		StringBuilder res = new StringBuilder();
    		    		do {
    		    			res.appendCodePoint(c);
    		    			c = read();
    		    		} while (!isEndOfLine(c));
    		    		return res.toString();
    		    	}
    		     
    		    	private static int[] nextIntArray(int n) {
    		    		int[] arr = new int[n];
    		    		for (int i = 0; i < n; i++) {
    		    			arr[i] = nextInt();
    		    		}
    		    		return arr;
    		    	}
    		     
    		    	private static int[][] next2dArray(int n, int m) {
    		    		int[][] arr = new int[n][m];
    		    		for (int i = 0; i < n; i++) {
    		    			for (int j = 0; j < m; j++) {
    		    				arr[i][j] = nextInt();
    		    			}
    		    		}
    		    		return arr;
    		    	}
    		    	private static char[][] nextCharArray(int n,int m){
    		    		char [][]c=new char[n][m];
    		    		for(int i=0;i<n;i++){
    		    			String s=nextLine();
    		    			for(int j=0;j<s.length();j++){
    		    				c[i][j]=s.charAt(j);
    		    			}
    		    		}
    		    		return c;
    		    	}
    		     
    		    	private static long[] nextLongArray(int n) {
    		    		long[] arr = new long[n];
    		    		for (int i = 0; i < n; i++) {
    		    			arr[i] = nextLong();
    		    		}
    		    		return arr;
    		    	}
    		     
    		    	private static void pArray(int[] arr) {
    		    		for (int i = 0; i < arr.length; i++) {
    		    			pw.print(arr[i] + " ");
    		    		}
    		    		pw.println();
    		    		return;
    		    	}
    		     
    		    	private static void pArray(long[] arr) {
    		    		for (int i = 0; i < arr.length; i++) {
    		    			pw.print(arr[i] + " ");
    		    		}
    		    		pw.println();
    		    		return;
    		    	}
    		     
    		    	private static void pArray(boolean[] arr) {
    		    		for (int i = 0; i < arr.length; i++) {
    		    			pw.print(arr[i] + " ");
    		    		}
    		    		pw.println();
    		    		return;
    		    	}
    		     
    		    	private static boolean isSpaceChar(int c) {
    		    		if (filter != null)
    		    			return filter.isSpaceChar(c);
    		    		return isWhitespace(c);
    		    	}
    		     
    		    	private interface SpaceCharFilter {
    		    		public boolean isSpaceChar(int ch);
    		    	}


     		        
     		       private static void soln2(){
    
     		    	   int n=nextInt();
     		    	   long a[]=nextLongArray(n);
     		    	   long pri[]=new long[6];
     		    	   for(int i=0;i<5;i++){
     		    		   pri[i]=nextLong();
     		    	   }
     		    	   pri[5]=Long.MAX_VALUE;
     		    	  long freq[]=new long[5];
     		    	   long sum=0;
     		    	   for(int i=0;i<n;i++){
     		    		   sum+=a[i];
     		    		   for(int j=4;j>=0;j--){
     		    				if(sum>=pri[j]){
     		    					freq[j]+=(sum/pri[j]);
     		    					sum-=(sum/pri[j])*(pri[j]);
     		    					
     		    				}
     		    			}
     		    			
     		    		   
         		    	  

     		    	   }
     		    	   pArray(freq);
     		    	   pw.println(sum);
     		       }    		    
    		    	
    			
    		    	
    		    	 		    	
    		    }
    		    class Node{
    		    	int val;
    		    	int ind;
    		    	
    		    	Node(int val,int ind){
    		    		this.val=val;
    		    		this.ind=ind;
    		    	}
    		    	
    		    }
    		    
    		    
    		    class Pair implements Comparable<Pair>{
 	     			   
               	    	
        				int ind,val;
        				Pair(int val,int ind){
        				this.ind=ind;
        				this.val=val;
        				}
    					@Override
    					public int compareTo(Pair o) {
    						
  
    					

    					return val-o.val;
    					}
               		
        		    
    			/*	public int hashCode() {
					//	return 0;
    	    			int hu = (int) (row ^ (row >>> 32));
    	    			int hv = (int) (col ^ (col >>> 32));
    	    			return 31 * hu + hv;
    	    		}
    				public boolean equals(Object o) {
    	    			Pair other = (Pair) o;
    	    		return row == other.row && col == other.col;
    	    		}
    		*/
    		    	}
    		        class Graph{
    		        	private static int V,level[][],count=-1,lev_dfs[],degree=0,no_vert_conn_comp=0;
    		        	private Stack <Integer>st=new Stack();
    		        	private static LinkedList<Integer > adj[];
    		        	private boolean[][] Visite;
    		        	private static boolean [] Visited;
    		        	private static HashSet<Integer> Vis=new HashSet();
    		        	private static Stack<Integer> topo_sort=new Stack<>();
    		        	private static HashMap<String,Integer> hm=new HashMap<>();
    		  private static HashSet<String> hs=new HashSet();
    		private static HashSet<String > exist=new HashSet();
    		private static int a[];

    		
    		    Graph(int V){
    		    V++;
    		    this.V=(V);
    		    adj=new LinkedList[V];
    		    Visite=new boolean[100][100];
    		    
    	 	    Visited=new boolean[V];
    		    level=new int[100][100];
    		    lev_dfs=new int[V]; 
    		   for(int i=0;i<V;i++)
    			   adj[i]=new LinkedList<Integer>();
    		a=new int[V+1];
    		    }
    		   
    		    void setup(int d[]){
  
    		    	a=Arrays.copyOf(d, d.length);
    		    	
    		    }
    		    void ans(){
    		    	StringBuilder sb=new StringBuilder();
    		    	for(int i=1;i<a.length;i++){
    		    		sb.append(a[i]+" ");
    		    	}
    		    	System.out.println(sb);
    		    }
    		   void addEdge(int v,int w){
    		    
    		    	if(adj[v]==null){
    		    		adj[v]=new LinkedList();
    		    	}
    		    	adj[v].add(w);
    		    
    		    	
    		    
    		    	  	
    		    }
    		  
    		    public static int BFS2(int startVert){
    		    	Visited=new boolean[V];
    		    	for(int i=1;i<V;i++){
    		    		lev_dfs[i]=-1;
    		    	}
    		    //	System.out.println(startVert);
    		    	Queue<Integer> q=new LinkedList<Integer>();
    		    	q.add(startVert);
    		    	
    		    	lev_dfs[startVert]=0;
    		    	while(!q.isEmpty()){
    		    		int top=q.poll();
    		    		
    		    		Iterator<Integer> i= adj[top].listIterator();
    		    		while(i.hasNext()){
    		    			int n=i.next();
    		    	//		System.out.println(top+" "+n);
    		    			if(!Visited[n]){
    		    				q.add(n);
    		    				Visited[n]=true;
    		    				lev_dfs[n]=lev_dfs[top]+1;
    		    			
    		    			}
    		    		}
    		    	}
    		    
    		    //	q.clear();
    		    	return -1;
    		    }
    		    public static int getAn(){
    		    	if(ans==Long.MAX_VALUE)
    		    		ans=-1;
    		    	return 0;
    		    }
    		    public int getEd(){
    		    	return degree/2;
    		    }
    		    public void get(int from,int to){
    		    	int h=lev_dfs[from]-lev_dfs[to];
    		    	if(h<=0){
    		    		System.out.println(-1);
    		    	}else{
    		    		System.out.println(h-1);
    		    	}
    		    }
    		    private static boolean check(int x,int y,char c[][]){
    			
    				if((x>=0 && y>=0) && (x<c.length && y<c[0].length) && c[x][y]!='#'){
    					
    					return true;
    				}
    				return false;
    			}
    		    public int BFS(int x,int y,int k,char[][] c)
    		    {
    		    	 LinkedList<Pair> queue = new LinkedList<Pair>();
    		        //Visited[s]=true;
    		   //     queue.add(new Pair(x,y));
    		       int count=0;
    		   level[x][y]=-1;
    		   c[x][y]='M';
    		        while (!queue.isEmpty())
    		        {
    		            Pair temp = queue.poll();
    		        
    		            
    		        }
    		        return V;
    		    }
    		    static long ans=Long.MAX_VALUE;
    		    
    		   public static void dfs2(int startVert,int endVert,long need){
    			Visited[startVert]=true;
    			//System.out.println(startVert+" "+need);
    			   for(int x:adj[startVert]){
    				if(x==endVert ){
    					String to="";
    					to+=startVert+" "+x;
    					
    					if(hs.contains(to) && startVert!=x)
    					ans=Math.min(need+1, ans);
    					else
    						ans=Math.min(need, ans);
    				}
    				else{
    					String to="";
    					to+=startVert+" "+x;
    					boolean tmp=false;
    					if(hs.contains(to) )
    						tmp=true;
    					if(!Visited[x])
    					{
    					if(tmp)
    						dfs2(x, endVert, need+1);
    					else{
    						dfs2(x, endVert, need);
    					}
    					}
    					}
    			}
    			   
    			   
    		   }
    		     public long dfs(int startVertex){
    		    //	 getAns(startVertex);
    		    	 if(!Visited[startVertex])  {
    		    	
    		   return dfsUtil(startVertex);
    		  
    		    	//return getAns();
    		    	}
    		    	 
    		    
    		     
    		    return 0;
    		    	}
    		 private long dfsUtil(int startVertex) {//0-Blue 1-Pink
    			 int c=1;
    		TreeSet<Integer> index=new TreeSet();
    		TreeSet<Integer> ele=new TreeSet(Collections.reverseOrder());
    			 long cout=0;
    		      degree=0;
    		    	Visited[startVertex]=true;
    		    	lev_dfs[startVertex]=0;
    		      st.push(startVertex);
    		      int temp=-1;
    		    	    while(!st.isEmpty()){
    		    	
    		    	int top=st.pop();
    		    //	ts.add(top);
    		    	Iterator<Integer> i=adj[top].listIterator();

      		      index.add(top);
      		      ele.add(a[top]);
    		    while(i.hasNext()){
    		    //	System.out.println(top);
    		    	int n=i.next();
    		     if( !Visited[n]){
    		    				Visited[n]=true;
    		    				st.push(n);
    		    c++;
    		     }
    		         }
    		 }
    		    	   for(int x:index){
    		    		   a[x]=ele.first();
    		    		   ele.remove(ele.first());
    		    	  }
    		 
    		 //   System.out.println(temp);
    		    return 0;
    		    }
    		        
    		        }     
    		       	        
    		    class Dsu{
    		    	private int rank[], parent[] ,n;
    		    	private static int[] parent1;
    		    	Dsu(int size){
    		    		this.n=size+1;
    		    		rank=new int[n];
    		    		//parent=new int[n];
    		    		parent=new int[n];
    		    	makeSet();
    		
    		    	}
    		    	
    		    	void makeSet(){
    		    		for(int i=0;i<n;i++){
    		    			parent[i]=i;
    		    		}
    		    	}
    		    	
    		    	int find(int x){
    		    		if(parent[x]!=x){
    		    			
    		    			parent[x]=find(parent[x]);
    		    		}
    		    		return parent[x];
    		    	}
    		    
    		    	
    		    	void union(int x,int y){
    		    		int xRoot=find(x);
    		    		int yRoot=find(y);
    		    		
    		    		if(xRoot==yRoot)
    		    			return;
    		    		if(rank[xRoot]<rank[yRoot]){
    		    		parent[xRoot]=yRoot;	
    		    		}else if(rank[yRoot]<rank[xRoot]){
    		    			parent[yRoot]=xRoot;
    		    		}else{
    		    			parent[yRoot]=xRoot;
    		    			rank[xRoot]++;
    		    		}
    		    		
    		    	}

    		     
    		    }