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.InputMismatchException;

public class Main {

    private static final boolean FROM_FILE = false;

    public static void main(String[] args) throws FileNotFoundException {
        InputStream inputStream = FROM_FILE ? new FileInputStream(new File("a.in")) : System.in;
        OutputStream outputStream = FROM_FILE ? new FileOutputStream(new File("a.out")) : System.out;
        FastScanner in = new FastScanner(inputStream);
        FastPrinter out = new FastPrinter(outputStream);
        new Task1().solve(in, out);
        out.close();
    }

    private static class Task1 {

        public void solve(FastScanner in, FastPrinter out) {
            int a = in.nextInt();
            int b = in.nextInt();
            int c = in.nextInt();

            int x = in.nextInt();
            int y = in.nextInt();
            int z = in.nextInt();

            int q = 0;
            if (a > x)
                q += (a - x) / 2;
            if (b > y)
                q += (b - y) / 2;
            if (c > z)
                q += (c - z) / 2;

            int p = ((a < x) ? (x - a) : 0) + ((b < y) ? (y - b) : 0) + ((c < z) ? (z - c) : 0);
            if (q >= p)
                out.write("Yes");
            else
                out.write("No");
        }
    }

    private static class FastScanner extends BufferedReader {

        public FastScanner(InputStream is) {
            super(new InputStreamReader(is));
        }

        static boolean isWhiteSpace(int c) {
            return c >= 0 && c <= 32;
        }

        public int read() {
            try {
                return super.read();
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }

        public int nextInt() {
            int c = read();
            while (isWhiteSpace(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int ret = 0;
            while (c >= 0 && !isWhiteSpace(c)) {
                if (c < '0' || c > '9') {
                    throw new NumberFormatException("digit expected " + (char) c
                            + " found");
                }
                ret = ret * 10 + c - '0';
                c = read();
            }
            return ret * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isWhiteSpace(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long ret = 0;
            while (c >= 0 && !isWhiteSpace(c)) {
                if (c < '0' || c > '9') {
                    throw new NumberFormatException("digit expected " + (char) c
                            + " found");
                }
                ret = ret * 10 + c - '0';
                c = read();
            }
            return ret * sgn;
        }

        public String readLine() {
            try {
                return super.readLine();
            } catch (IOException e) {
                return null;
            }
        }

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

    private static class FastPrinter extends PrintWriter {
        public FastPrinter(OutputStream out) {
            super(out);
        }
    }
}