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:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author o_panda_o(emailofpanda@yahoo.com)
 */
public class Code_606A_MagicSpheres{
    public static void main(String[] args){
        InputStream inputStream=System.in;
        OutputStream outputStream=System.out;
        InputReader in=new InputReader(inputStream);
        OutputWriter out=new OutputWriter(outputStream);
        _606A_ solver=new _606A_();
        solver.solve(1,in,out);
        out.close();
    }

    static class _606A_{
        public void solve(int testNumber,InputReader in,OutputWriter out){
            /**
             * Date: 16th May 2017
             * Question number: 3
             * Start time: 2:49 AM
             * End time:
             */
            int a=in.nextInt(), b=in.nextInt(), c=in.nextInt();
            int x=in.nextInt(), y=in.nextInt(), z=in.nextInt();
            int residual=0;
            int needed=0;
            if(x>a) needed+=x-a;
            else residual+=(a-x)/2;
            if(y>b) needed+=y-b;
            else residual+=(b-y)/2;
            if(z>c) needed+=z-c;
            else residual+=(c-z)/2;

            if(residual>=needed) out.print("Yes");
            else out.print("No");
        }

    }

    static class OutputWriter{
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream){
            writer=new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

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

        public void print(Object... objects){
            for(int i=0;i<objects.length;i++){
                if(i!=0){
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

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

    }

    static class InputReader{
        private InputStream stream;
        private byte[] buf=new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream){
            this.stream=stream;
        }

        public 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++];
        }

        public 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;
        }

        public boolean isSpaceChar(int c){
            if(filter!=null){
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c){
            return c==' ' || c=='\n' || c=='\r' || c=='\t' || c==-1;
        }

        public interface SpaceCharFilter{
            public boolean isSpaceChar(int ch);

        }

    }
}