Problem: A country called Flatland is an infinite two-dimensional plane. Flatland has n cities, each of them is a point on the plane.

Flatland is ruled by king Circle IV. Circle IV has 9 sons. He wants to give each of his sons part of Flatland to rule. For that, he wants to draw four distinct straight lines, such that two of them are parallel to the Ox axis, and two others are parallel to the Oy axis. At that, no straight line can go through any city. Thus, Flatland will be divided into 9 parts, and each son will be given exactly one of these parts. Circle IV thought a little, evaluated his sons' obedience and decided that the i-th son should get the part of Flatland that has exactly ai cities.

Help Circle find such four straight lines that if we divide Flatland into 9 parts by these lines, the resulting parts can be given to the sons so that son number i got the part of Flatland which contains ai cities.

Input

The first line contains integer n (9 ≤ n ≤ 105) — the number of cities in Flatland. Next n lines each contain two space-separated integers: xi, yi ( - 109 ≤ xi, yi ≤ 109) — the coordinates of the i-th city. No two cities are located at the same point. The last line contains nine space-separated integers: <image>.

Output

If there is no solution, print a single integer -1.

Otherwise, print in the first line two distinct real space-separated numbers: x1, x2 — the abscissas of the straight lines that are parallel to the Oy axis. And in the second line print two distinct real space-separated numbers: y1, y2 — the ordinates of the straight lines, parallel to the Ox. If there are multiple solutions, print any of them. 

When the answer is being checked, a city is considered to lie on a straight line, if the distance between the city and the line doesn't exceed 10 - 6. Two straight lines are considered the same if the distance between them doesn't exceed 10 - 6.

Examples

Input

9
1 1
1 2
1 3
2 1
2 2
2 3
3 1
3 2
3 3
1 1 1 1 1 1 1 1 1


Output

1.5000000000 2.5000000000
1.5000000000 2.5000000000


Input

15
4 4
-1 -3
1 5
3 -4
-4 4
-1 1
3 -3
-4 -5
-3 3
3 2
4 1
-4 2
-2 -5
-3 4
-1 4
2 1 2 1 2 1 3 2 1


Output

-3.5000000000 2.0000000000
3.5000000000 -1.0000000000


Input

10
-2 10
6 0
-16 -6
-4 13
-4 -2
-17 -10
9 15
18 16
-5 2
10 -5
2 1 1 1 1 1 1 1 1


Output

-1

Note

The solution for the first sample test is shown below:

<image>

The solution for the second sample test is shown below:

<image>

There is no solution for the third sample test.

Solution (in JAVA):

Solution:
import java.io.OutputStreamWriter;
import java.io.BufferedWriter;
import java.io.BufferedReader;
import java.util.Comparator;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Random;
import java.io.Writer;
import java.util.AbstractCollection;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.math.BigDecimal;
import java.util.ArrayList;
import java.util.TreeSet;
import java.util.StringTokenizer;
import java.math.BigInteger;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		OutputWriter out = new OutputWriter(outputStream);
		TaskE solver = new TaskE();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskE {
	public void solve(int testNumber, InputReader in, OutputWriter out) {
        int i,j;
        int n = in.nextInt();
        
        Point p[] = new Point[n];
        for(i=0;i<n;++i) p[i] = new Point(in.nextInt(), in.nextInt());
        
        Point p2[] = p.clone();
        
        Arrays.sort(p);
        Arrays.sort(p2, GeomUtils.comparatorPointYX);
        int allX[] = new int[n];
        int allY[] = new int[n];
        for(i=0;i<n;++i){
            allX[i] = (int) p[i].x;
            allY[i] = (int) p[i].y;
        }
        cprx = new Compresser(allX);
        cpry = new Compresser(allY);
        DataStruct.SegmentTreeSumPersistent s = DataStruct.SegmentTreeSumPersistent.build(0, cprx.size()-1);
        t = new DataStruct.SegmentTreeSumPersistent[cpry.size()];
        
        t[cpry.getEqualLower(-inf)] = s;
        for(Point o : p2){
            s = s.P_add(cprx.get((int) o.x), 1);
            t[cpry.get((int)o.y)] = s;
        }
        
        
        int M = 9;
        int a[] = in.nextIntArray(M);
        Arrays.sort(a);
        do{
            int countLeft = a[0] + a[3] + a[6];
            int countRight = a[2] + a[5] + a[8];
            int countUp = a[0] + a[1] + a[2];
            int countDown = a[8] + a[7] + a[6];
            
            if(countLeft+countRight>=n) continue;
            if(countUp+countDown>=n) continue;
            
            if(countLeft<n && p[countLeft].x==p[countLeft-1].x) continue;
            if(n-countRight-1>=0 && p[n-countRight-1].x==p[n-countRight].x) continue;
            if(countDown<n && p2[countDown].y==p2[countDown-1].y) continue;
            if(n-countUp-1>=0 && p2[n-countUp-1].y==p2[n-countUp].y) continue;
            
            int x0 = cprx.getEqualHigher(-inf);
            int x1 = cprx.getEqualLower((int) p[countLeft-1].x);
            int x2 = cprx.getEqualLower((int) p[n-countRight].x-1);
            int x3 = cprx.getEqualLower(inf);
            int y0 = cpry.getEqualLower((int) (p2[countDown-1].y));
            int y1 = cpry.getEqualLower((int) (p2[n-countUp].y-1));
            int y2 = cpry.getEqualLower(inf);
            
            int c1 = t[y2].getSum(x0, x1);
            int c2 = t[y2].getSum(x0, x2);
            int c3 = t[y2].getSum(x0, x3);
            int c4 = t[y1].getSum(x0, x1);
            int c5 = t[y1].getSum(x0, x2);
            int c6 = t[y1].getSum(x0, x3);
            int c7 = t[y0].getSum(x0, x1);
            int c8 = t[y0].getSum(x0, x2);
            int c9 = t[y0].getSum(x0, x3);


            int b[] = {
                    c1 - c4,
                    c2 - c1 - c5 + c4,
                    c3 - c2 - c6 + c5,
                    c4 - c7,
                    c5 - c4 - c8 + c7,
                    c6 - c5 - c9 + c8,
                    c7,
                    c8 - c7,
                    c9 - c8
            };
            
           //out.writeln(Arrays.toString(a),' ',Arrays.toString(b));
            
            if(Arrays.equals(a, b)){
                out.writeln(String.format("%.10f %.10f\n%.10f %.10f",
                        (p[countLeft-1].x+p[countLeft].x)/2. ,
                        (p[n-countRight-1].x+p[n-countRight].x)/2. ,
                        (p2[countDown-1].y+p2[countDown].y)/2. ,
                        (p2[n-countUp-1].y+p2[n-countUp].y)/2.
                        ));
                return;
            }
            
        }while (ArrayUtils.nextPermutation(a));
        
        out.writeln(-1);
	}
    int inf = (int) 2e9;
    Compresser cprx, cpry;
    DataStruct.SegmentTreeSumPersistent t[];

    }

class InputReader{
    private BufferedReader reader;
    private StringTokenizer tokenizer;

    public InputReader(InputStream stream){
        reader = new BufferedReader(new InputStreamReader(stream));
        tokenizer = null;
    }
    
    public String next(){
        while (tokenizer == null || !tokenizer.hasMoreTokens()){
            try{
                tokenizer = new StringTokenizer(reader.readLine());
            }catch (IOException e){
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }
    
    public int nextInt(){
        return Integer.parseInt(next());
    }

    public int[] nextIntArray(int n){
        int res[] = new int[n];
        for(int i=0;i<n;++i) res[i] = nextInt();
        return res;
    }
}

class OutputWriter{
    private PrintWriter out;

    public OutputWriter(Writer out){
        this.out = new PrintWriter(out);
    }

    public OutputWriter(OutputStream out){
        this.out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(out)));
    }

    public void write(Object ... o){
        for(Object x : o) out.print(x);
    }

    public void writeln(Object ... o){
        write(o);
        out.println();
    }

    public void close(){
        out.close();
    }
}

class Point implements Comparable<Point>{
    public double x, y;

    public Point(double x, double y){
        this.x = x;
        this.y = y;
    }

    public Point(){
        x = y = 0;
    }

    public int compareTo(Point p){
        return x==p.x?(y==p.y?0:(y<p.y?-1:1)):(x<p.x?-1:1);
    }

    public String toString(){
        return x+" "+y;
    }

    }

class GeomUtils{


    
    public static final Comparator comparatorPointYX = new Comparator<Point>(){
        public int compare(Point p1, Point p2) {
            return p1.y==p2.y?(p1.x==p2.x?0:(p1.x<p2.x?-1:1)):(p1.y<p2.y?-1:1);
        }
    };


    }

class Compresser{
    private int a[];
    
    public Compresser(int arr[]){
        int n = arr.length;
        int m = 1;
        a = Arrays.copyOf(arr, n+2);
        a[n++] = Integer.MAX_VALUE;
        a[n++] = Integer.MIN_VALUE;
        Arrays.sort(a);
        for(int i=1; i<n; ++i) if(a[m-1]!=a[i]) a[m++] = a[i];
        a = Arrays.copyOf(a, m);
    }
    
    public int get(int val){
        return Arrays.binarySearch(a, val);
    }

    public int getEqualHigher(int val){
        int i = Arrays.binarySearch(a, val);
        return i<0 ? -i-1 : i;
    }

    public int getEqualLower(int val){
        int i = Arrays.binarySearch(a, val);
        return i<0 ? -i-1-1 : i;
    }
    
    public int size(){
        return a.length;
    }
}

class DataStruct {

    public static class SegmentTreeSumPersistent{
        public SegmentTreeSumPersistent left, right;
        int size;

        private int sum;

        private void calc(){
            sum = (left==null ? 0 : left.sum + right.sum);
        }

        public static SegmentTreeSumPersistent build(int left, int right){
            if(left==right) return new SegmentTreeSumPersistent(null, null);
            int middle = (left + right)>>1;
            return new SegmentTreeSumPersistent(build(left,middle), build(middle+1,right));
        }

        private SegmentTreeSumPersistent(SegmentTreeSumPersistent _left, SegmentTreeSumPersistent _right){
            left = _left;
            right = _right;
            sum = 0;
            size = (left==null? 1 : left.size+right.size);
            calc();
        }

        public int getSum(int i, int j){
            if(i>j) return 0;
            if(i==0 && j==size-1){
                return sum;
            }else{
                int m = left.size-1;
                return
                        (i<=m ? left.getSum(i, Math.min(m, j)) : 0)
                                + (j>m ? right.getSum(Math.max(0, i - m - 1), j-m-1) : 0);
            }
        }

        public SegmentTreeSumPersistent P_add(int index, int value){
            if(index<0 || index>=size) throw new RuntimeException();
            if(size==1){
                SegmentTreeSumPersistent t = new SegmentTreeSumPersistent(left, right);
                t.sum = sum + value;
                return t;
            }else{
                SegmentTreeSumPersistent t = new SegmentTreeSumPersistent(left, right);
                if(index<left.size) t.left = left.P_add(index, value);
                else t.right = right.P_add(index-left.size, value);
                t.calc();
                return t;
            }
        }
    }



    }

class ArrayUtils{

    public static boolean nextPermutation(int p[]){
        int i, j;
        for(i=p.length-1; i>0 && p[i]<=p[i-1]; --i);
        if(i==0) return false;
        for(--i, j=p.length-1; p[j]<=p[i]; --j);
        int t = p[i]; p[i] = p[j]; p[j] = t;
        for(++i, j=p.length-1; i<j; ++i, --j){
            t = p[i]; p[i] = p[j]; p[j] = t;
        }
        return true;
    }

    }