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:
import java.awt.Point;
import java.io.*;
import java.math.BigInteger;
import java.util.*;
import java.util.concurrent.locks.ReentrantLock;

import static java.lang.Math.*;
 
public class D {
        
        final boolean ONLINE_JUDGE = System.getProperty("ONLINE_JUDGE")!=null;
        BufferedReader in;
        PrintWriter out;
        StringTokenizer tok = new StringTokenizer("");
        
        void init() throws FileNotFoundException{
                if (ONLINE_JUDGE){
                        in = new BufferedReader(new InputStreamReader(System.in));
                        out = new PrintWriter(System.out);
                }else{
                        in = new BufferedReader(new FileReader("input.txt"));
                        out = new PrintWriter("output.txt");
                }
        }
        
        String readString() throws IOException{
                while(!tok.hasMoreTokens()){
                        tok = new StringTokenizer(in.readLine());
                }
                return tok.nextToken();
        }
        
        int readInt() throws IOException{
                return Integer.parseInt(readString());
        }
        
        long readLong() throws IOException{
                return Long.parseLong(readString());
        }
        
        double readDouble() throws IOException{
                return Double.parseDouble(readString());
        }
        
        int[] readArr(int n) throws IOException{
        	int[] res = new int[n];
        	for(int i = 0; i < n; i++){
        		res[i] = readInt();
        	}
        	return res;
        }
        
        long[] readArrL(int n) throws IOException{
        	long[] res = new long[n];
        	for(int i = 0; i < n; i++){
        		res[i] = readLong();
        	}
        	return res;
        }
        
        public static void main(String[] args){
                new D().run();
        }
        
        public void run(){
                try{
                        long t1 = System.currentTimeMillis();
                        init();
                        solve();
                        out.close();
                        long t2 = System.currentTimeMillis();
                        System.err.println("Time = "+(t2-t1));
                }catch (Exception e){
                        e.printStackTrace(System.err);
                        System.exit(-1);
                }
        }        
        
        void solve() throws IOException{
        	int n = readInt();
        	int[] p = readArr(n);
        	int[] c = readArr(5);
        	long cur = 0;
        	long[] res = new long[5];
        	for(int i = 0; i < n; i++){
        		cur += p[i];
        		while(true){
        			int max = 0;
        			int maxIn = 0;
        			for(int j = 4; j >= 0; j--){
        				if(c[j] <= cur){
        					max = c[j];
        					maxIn = j;
        					break;
        				}
        			}
        			if(max == 0) break;
        			res[maxIn] += cur/max;
        			cur = cur%max;
        		}
        	}
        	for(int i = 0; i < 5; i++){
        		out.print(res[i]+" ");
        	}
        	out.println();
        	out.print(cur);
        }
        
        void maxHepify(int[] a, int i, int length){
        	int l = (i<<1) + 1;
        	int r = (i<<1) + 2;
        	int largest = i;
        	if(l < length && a[l] > a[largest])
        		largest = l;
        	if(r < length && a[r] > a[largest])
        		largest = r;
        	if(largest != i){
        		a[largest] += a[i];
        		a[i] = a[largest] - a[i];
        		a[largest] -= a[i];
        		maxHepify(a, largest, length);
        	}
        }
        
        void buildMaxHeap(int[] a){
        	for(int i = a.length/2 - 1; i >= 0; i--){
        		maxHepify(a, i, a.length);
        	}
        }
        
        void heapSort(int[] a){
        	buildMaxHeap(a);
        	for(int i = a.length - 1; i > 0; i--){
        		a[i] += a[0];
        		a[0] = a[i] - a[0];
        		a[i] -= a[0];
        		maxHepify(a, 0, i);
        	}
        }

        
        int[] zFunction(char[] s){
        	int[] z = new int[s.length];
        	z[0] = 0;
        	for (int i=1, l=0, r=0; i<s.length; ++i) {
        		if (i <= r)
        			z[i] = min (r-i+1, z[i-l]);
        		while (i+z[i] < s.length && s[z[i]] == s[i+z[i]])
        			++z[i];
        		if (i+z[i]-1 > r){
        			l = i; 
        			r = i+z[i]-1;
        		}
        	}	
        	return z;
        }
        
        int[] prefixFunction(char[] s){
        	int[] pr = new int[s.length];
        	for (int i = 1; i< s.length; ++i) {
        		int j = pr[i-1];
        		while (j > 0 && s[i] != s[j])
        			j = pr[j-1];
        		if (s[i] == s[j])  ++j;
        		pr[i] = j;
        	}
        	return pr;
        }
        
        int ModExp(int a, int n, int mod){
        	int res = 1;
        	while (n!=0)
        		if ((n & 1) != 0) {
        			res = (res*a)%mod;
        			--n;
        		}
        		else {
        			a = (a*a)%mod;
        			n >>= 1;
        		}
        	return res;
        }
        
        
        public static class Utils {       	
 
        	private Utils() {}

        	public static void mergeSort(int[] a) {
                    mergeSort(a, 0, a.length - 1);
            }
             
        	private static void mergeSort(int[] a, int leftIndex, int rightIndex) {
                    final int MAGIC_VALUE = 50;
                    if (leftIndex < rightIndex) {
                            if (rightIndex - leftIndex <= MAGIC_VALUE) {
                                    insertionSort(a, leftIndex, rightIndex);
                            } else {
                                    int middleIndex = (leftIndex + rightIndex) / 2;
                                    mergeSort(a, leftIndex, middleIndex);
                                    mergeSort(a, middleIndex + 1, rightIndex);
                                    merge(a, leftIndex, middleIndex, rightIndex);
                            }
                    }
            }
 
            private static void merge(int[] a, int leftIndex, int middleIndex, int rightIndex) {
            	int length1 = middleIndex - leftIndex + 1;
            	int length2 = rightIndex - middleIndex;
                int[] leftArray = new int[length1];
                int[] rightArray = new int[length2];
                System.arraycopy(a, leftIndex, leftArray, 0, length1);
                System.arraycopy(a, middleIndex + 1, rightArray, 0, length2);
                for (int k = leftIndex, i = 0, j = 0; k <= rightIndex; k++) {
                    if (i == length1) {
                            a[k] = rightArray[j++];
                    } else if (j == length2) {
                            a[k] = leftArray[i++];
                    } else {
                            a[k] = leftArray[i] <= rightArray[j] ? leftArray[i++] : rightArray[j++];
                    }
                }
            }
 
            private static void insertionSort(int[] a, int leftIndex, int rightIndex) {
                for (int i = leftIndex + 1; i <= rightIndex; i++) {
            		int current = a[i];
                    int j = i - 1;
                	while (j >= leftIndex && a[j] > current) {
                        a[j + 1] = a[j];
                        j--;
                        }
                    a[j + 1] = current;
                }
            }
        }
        
         
       
        
        boolean isPrime(int a){
        	for(int i = 2; i <= sqrt(a); i++)
        		if(a % i == 0) return false;
        	return true;
        }
        
        static double distance(long x1, long y1, long x2, long y2){
        	return Math.sqrt((x1-x2)*(x1-x2)+(y1-y2)*(y1-y2));
        }
        
        static long gcd(long a, long b){
        	if(min(a,b) == 0) return max(a,b);
        	return gcd(max(a, b) % min(a,b), min(a,b));
        }
        
        static long lcm(long a, long b){
        	return a * b /gcd(a, b);
        }
}

/*class Treap<K extends Comparable<K>>{
	
	public K x;
	public double y;
	public Treap<K> left;
	public Treap<K> right;
	
	public Treap(K x, double y, Treap<K> left, Treap<K> right) {
		this.x = x;
		this.y = y;
		this.left = left;
		this.right = right;
	}
	
	public static <K extends Comparable<K>> Treap<K> merge(Treap<K> l, Treap<K> r){
		if(l == null) return r;
		if(r == null) return l;
		if(l.y > r.y){
			return new Treap<K>(l.x, l.y, l.left, merge(l.right, r));
		}
		else{
			return new Treap<K>(r.x, r.y, merge(l, r.left), r.right);
		}
	}
	
	public void split(K x, Treap<K> left, Treap<K> right){
		Treap<K> newTreap = null;
		if(this.x.compareTo(x) <= 0){
			if(this.right == null){
				right = null;
			}
			else{
				right.split(x, newTreap, right);
			}
			left = new Treap<K>(this.x, this.y, left, newTreap);
		}
		else{
			if(this.left == null){
				left = null;
			}
			else{
				left.split(x, left, newTreap);
			}
			right = new Treap<K>(x, y, newTreap, right);
		}
	}
	
	public Treap<K> add(K x){
		Treap<K> left = null, right = null;
		this.split(x, left, right);
		Treap<K> temp = new Treap<K>(x, random(), null, null);
		return merge(merge(left, temp), right);
	}
	
	@SuppressWarnings("null")
	public Treap<K> remove(K x){
		Treap<K> left = null, temp = null, right = null;
		this.split(x, left, right);
		right.split(x, temp, right);
		return merge(left, right);
	}
	
	public static <K extends Comparable<K>> Treap<K> build(K[] a){
		Treap<K> temp = new Treap<K>(a[0], random(), null, null);
		for(int i = 1; i < a.length; i++){
			temp = temp.add(a[i]);
		}
		return temp;
	}
}*/