Problem: Carl is a beginner magician. He has a blue, b violet and c orange magic spheres. In one move he can transform two spheres of the same color into one sphere of any other color. To make a spell that has never been seen before, he needs at least x blue, y violet and z orange spheres. Can he get them (possible, in multiple actions)?

Input

The first line of the input contains three integers a, b and c (0 ≤ a, b, c ≤ 1 000 000) — the number of blue, violet and orange spheres that are in the magician's disposal.

The second line of the input contains three integers, x, y and z (0 ≤ x, y, z ≤ 1 000 000) — the number of blue, violet and orange spheres that he needs to get.

Output

If the wizard is able to obtain the required numbers of spheres, print "Yes". Otherwise, print "No".

Examples

Input

4 4 0
2 1 2


Output

Yes


Input

5 6 1
2 7 2


Output

No


Input

3 3 3
2 2 2


Output

Yes

Note

In the first sample the wizard has 4 blue and 4 violet spheres. In his first action he can turn two blue spheres into one violet one. After that he will have 2 blue and 5 violet spheres. Then he turns 4 violet spheres into 2 orange spheres and he ends up with 2 blue, 1 violet and 2 orange spheres, which is exactly what he needs.

Solution (in JAVA):

Solution:
/*
 * Code Author: Jayesh Udhani
 * Dhirubhai Ambani Institute of Information and Communication Technology (DA-IICT ,Gandhinagar)
 */
import java.io.*;
import java.util.*;

public class Standard {
	private static void bubble(int d[],int a[],int x[])
	{
		int n=d.length;
		for(int j=1;j<=n-1;j++)
		{
			for(int i=0;i<n-1;i++)
			{
				if(d[i]>d[i+1])
				{
					int temp=d[i];
					d[i]=d[i+1];
					d[i+1]=temp;

					int temp1=a[i];
					a[i]=a[i+1];
					a[i+1]=temp1;

					int temp2=x[i];
					x[i]=x[i+1];
					x[i+1]=temp2;
				}
			}
		}
	}
	public static void main(String args[])
	{
		InputReader in = new InputReader(System.in);
		OutputStream outputStream = System.out;
		PrintWriter out = new PrintWriter(outputStream);
		//----------My Code Starts Here----------
		int a[]=new int[3];
		int x[]=new int[3];
		int d[]=new int[3];
		a[0]=in.nextInt();
		a[1]=in.nextInt();
		a[2]=in.nextInt();
		x[0]=in.nextInt();
		x[1]=in.nextInt();
		x[2]=in.nextInt();
		for(int i=0;i<=2;i++)
			d[i]=a[i]-x[i];
		bubble(d, a, x);
		if(d[0]>=0)
			System.out.println("Yes");
		else if(d[2]<0)
			System.out.println("No");
		else if(d[0]<0 && d[1]>=0 && d[2]>=0)
		{
			int flag=Math.abs(d[0]);
			if((a[1]-x[1])/2+(a[2]-x[2])/2>=Math.abs(d[0]))
				System.out.println("Yes");
			else
				System.out.println("No");
		}
		else
		{
			int flag=Math.abs(d[0])+Math.abs(d[1]);
			if((a[2]-x[2])/2>=flag)
				System.out.println("Yes");
			else
				System.out.println("No");
		}
		out.close();
		//---------------The End———————————————————

	}
	static class InputReader {
		public BufferedReader reader;
		public StringTokenizer tokenizer;

		public InputReader(InputStream inputstream) {
			reader = new BufferedReader(new InputStreamReader(inputstream));
			tokenizer = null;
		}

		public String nextLine(){
			String fullLine=null;
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					fullLine=reader.readLine();
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
				return fullLine;
			}
			return fullLine;
		}
		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 long nextLong() {
			return Long.parseLong(next());
		}
		public int nextInt() {
			return Integer.parseInt(next());
		}
	}
}