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.util.ArrayList;
import java.util.Hashtable;
import java.util.InputMismatchException;
import java.util.Locale;
import java.util.Scanner;
import java.util.regex.Pattern;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.UnsupportedEncodingException;
 
public class Main {
    
    public static void main(String[] args) throws Exception {
        solve(1);
    }
 
    public static void solve(int testCases) throws Exception{
        int a=StdIn.readInt();
        int b=StdIn.readInt();
        int c=StdIn.readInt();
        int x=StdIn.readInt();
        int y=StdIn.readInt();
        int z=StdIn.readInt();
        if(x<=a){
            a-=x;
            x=0;
        }else{
            x-=a;
            a=0;
        }
        if(y<=b){
            b-=y;
            y=0;
        }else{
            y-=b;
            b=0;
        }
        if(z<=c){
            c-=z;
            z=0;
        }else{
            z-=c;
            c=0;
        }
        if((a/2+b/2+c/2)>=(x+y+z)){
            StdOut.println("Yes");
        }else{
            StdOut.println("No");
        }
    }

}

final class StdIn {

    private StdIn() { }

    private static Scanner scanner;
    
    private static final String CHARSET_NAME = "UTF-8";

    private static final Locale LOCALE = Locale.US;

    private static final Pattern WHITESPACE_PATTERN = Pattern.compile("\\p{javaWhitespace}+");

    private static final Pattern EMPTY_PATTERN = Pattern.compile("");

    private static final Pattern EVERYTHING_PATTERN = Pattern.compile("\\A");

    public static boolean isEmpty() {
        return !scanner.hasNext();
    }

    public static boolean hasNextLine() {
        return scanner.hasNextLine();
    }

    public static boolean hasNextChar() {
        scanner.useDelimiter(EMPTY_PATTERN);
        boolean result = scanner.hasNext();
        scanner.useDelimiter(WHITESPACE_PATTERN);
        return result;
    }

    public static String readLine() {
        String line;
        try                 { line = scanner.nextLine(); }
        catch (Exception e) { line = null;               }
        return line;
    }

    public static char readChar() {
        scanner.useDelimiter(EMPTY_PATTERN);
        String ch = scanner.next();
        assert (ch.length() == 1) : "Internal (Std)In.readChar() error!"
            + " Please contact the authors.";
        scanner.useDelimiter(WHITESPACE_PATTERN);
        return ch.charAt(0);
    }  


    public static String readAll() {
        if (!scanner.hasNextLine())
            return "";

        String result = scanner.useDelimiter(EVERYTHING_PATTERN).next();
        // not that important to reset delimeter, since now scanner is empty
        scanner.useDelimiter(WHITESPACE_PATTERN); // but let's do it anyway
        return result;
    }

    public static String readString() {
        return scanner.next();
    }

    public static int readInt() {
        return scanner.nextInt();
    }

    public static double readDouble() {
        return scanner.nextDouble();
    }

    public static float readFloat() {
        return scanner.nextFloat();
    }

    public static long readLong() {
        return scanner.nextLong();
    }
    
    public static short readShort() {
        return scanner.nextShort();
    }

    public static byte readByte() {
        return scanner.nextByte();
    }

    public static boolean readBoolean() {
        String s = readString();
        if (s.equalsIgnoreCase("true"))  return true;
        if (s.equalsIgnoreCase("false")) return false;
        if (s.equals("1"))               return true;
        if (s.equals("0"))               return false;
        throw new InputMismatchException();
    }

    public static String[] readAllStrings() {
        // we could use readAll.trim().split(), but that's not consistent
        // because trim() uses characters 0x00..0x20 as whitespace
        String[] tokens = WHITESPACE_PATTERN.split(readAll());
        if (tokens.length == 0 || tokens[0].length() > 0)
            return tokens;

        // don't include first token if it is leading whitespace
        String[] decapitokens = new String[tokens.length-1];
        for (int i = 0; i < tokens.length - 1; i++)
            decapitokens[i] = tokens[i+1];
        return decapitokens;
    }

    public static String[] readAllLines() {
        ArrayList<String> lines = new ArrayList<String>();
        while (hasNextLine()) {
            lines.add(readLine());
        }
        return lines.toArray(new String[0]);
    }

    public static int[] readAllInts() {
        String[] fields = readAllStrings();
        int[] vals = new int[fields.length];
        for (int i = 0; i < fields.length; i++)
            vals[i] = Integer.parseInt(fields[i]);
        return vals;
    }

    public static double[] readAllDoubles() {
        String[] fields = readAllStrings();
        double[] vals = new double[fields.length];
        for (int i = 0; i < fields.length; i++)
            vals[i] = Double.parseDouble(fields[i]);
        return vals;
    }
    
    static {
        resync();
    }

    private static void resync() {
        setScanner(new Scanner(new java.io.BufferedInputStream(System.in), CHARSET_NAME));
    }
    
    private static void setScanner(Scanner scanner) {
        StdIn.scanner = scanner;
        StdIn.scanner.useLocale(LOCALE);
    }

    public static int[] readInts() {
        return readAllInts();
    }

    public static double[] readDoubles() {
        return readAllDoubles();
    }

    public static String[] readStrings() {
        return readAllStrings();
    }

}
 
final class StdOut {

    private static final String CHARSET_NAME = "UTF-8";

    private static final Locale LOCALE = Locale.US;

    private static PrintWriter out;

    static {
        try {
            out = new PrintWriter(new OutputStreamWriter(System.out, CHARSET_NAME), true);
        }
        catch (UnsupportedEncodingException e) { System.out.println(e); }
    }

    private StdOut() { }

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

    public static void println() {
        out.println();
    }

    public static void println(Object x) {
        out.println(x);
    }

    public static void println(boolean x) {
        out.println(x);
    }

    public static void println(char x) {
        out.println(x);
    }

    public static void println(double x) {
        out.println(x);
    }

    public static void println(float x) {
        out.println(x);
    }

    public static void println(int x) {
        out.println(x);
    }

    public static void println(long x) {
        out.println(x);
    }

    public static void println(short x) {
        out.println(x);
    }

    public static void println(byte x) {
        out.println(x);
    }

    public static void print() {
        out.flush();
    }

    public static void print(Object x) {
        out.print(x);
        out.flush();
    }

    public static void print(boolean x) {
        out.print(x);
        out.flush();
    }

    public static void print(char x) {
        out.print(x);
        out.flush();
    }

    public static void print(double x) {
        out.print(x);
        out.flush();
    }

    public static void print(float x) {
        out.print(x);
        out.flush();
    }

    public static void print(int x) {
        out.print(x);
        out.flush();
    }

    public static void print(long x) {
        out.print(x);
        out.flush();
    }

    public static void print(short x) {
        out.print(x);
        out.flush();
    }

    public static void print(byte x) {
        out.print(x);
        out.flush();
    }

    public static void printf(String format, Object... args) {
        out.printf(LOCALE, format, args);
        out.flush();
    }

    public static void printf(Locale locale, String format, Object... args) {
        out.printf(locale, format, args);
        out.flush();
    }

}