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.*;
import java.util.StringTokenizer;

/**
 * @author ayratgdl
 * @date 21.12.15
 */
public class MagicSpheres {
    private static final IO.In in = IO.in;
    private static final IO.Out out = IO.out;

    private static int n = 0; // сколько новых сфер нужно создать
    private static int p = 0; // сколько пар сфер можно использовать для создания новых

    public static void main(String[] args) throws IOException {
        n = 0;
        p = 0;

        int a = in.int1();
        int b = in.int1();
        int c = in.int1();

        int x = in.int1();
        int y = in.int1();
        int z = in.int1();
        
        foo(a, x);
        foo(b, y);
        foo(c, z);

        if (p >= n) {
            out.write("Yes").ln();
        }
        else {
            out.write("No").ln();
        }
    }

    private static void foo(int a, int x) {
        if (a > x) {
            p += (a-x)/2;
        }
        else {
            n += x - a;
        }
    }

    public static class IO {
        public static final In in = new In(new BufferedReader(new InputStreamReader(System.in)));
        public static final Out out = new Out(new BufferedWriter(new OutputStreamWriter(System.out)));

        public static class In {
            private BufferedReader reader;
            StringTokenizer tokener;

            public In(BufferedReader reader) {
                this.reader = reader;
            }

            public String word() {
                try {
                    if (tokener == null || !tokener.hasMoreTokens())
                        tokener = new StringTokenizer(reader.readLine());
                    return tokener.nextToken();
                }
                catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }

            public int int1() {
                return Integer.parseInt(word());
            }

            public long long1() {
                return Long.parseLong(word());
            }

            public String[] words(int n) {
                String[] result = new String[n];
                for (int i = 0; i < n; i++)
                    result[i] = word();
                return result;
            }

            public int[] ints(int n) {
                int[] result = new int[n];
                for (int i = 0; i < n; i++)
                    result[i] = Integer.parseInt(word());
                return result;
            }

            public long[] longs(int n) {
                long[] result = new long[n];
                for (int i = 0; i < n; i++)
                    result[i] = Long.parseLong(word());
                return result;
            }
        }

        public static class Out {
            private BufferedWriter writer;
            private boolean isEmptyLine = true;

            public Out(BufferedWriter writer) {
                this.writer = writer;
            }

            private Out write(String str) {
                try {
                    if (!isEmptyLine)
                        writer.write(" ");
                    else
                        isEmptyLine = false;
                    writer.write(str);
                    return this;
                }
                catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }

            public Out ln() {
                try {
                    writer.newLine();
                    writer.flush();
                    isEmptyLine = true;
                    return this;
                }
                catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }

            public Out write(Object obj) {
                return write(obj.toString());
            }

            public Out write(int num) {
                return write(Integer.toString(num));
            }

            public Out write(long num) {
                return write(Long.toString(num));
            }

            public Out write(Object[] objs) {
                for (Object obj : objs)
                    write(obj);
                return this;
            }

            public <T> Out write(Iterable<T> iter) {
                for (T obj : iter)
                    write(obj);
                return this;
            }

            public Out write(int[] nums) {
                for (int num : nums)
                    write(num);
                return this;
            }

            public Out write(long[] nums) {
                for (long num : nums)
                    write(num);
                return this;
            }
        }
    }
}