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 javafx.util.Pair;
import java.io.*;
import java.util.ArrayList;
import java.util.Comparator;
import java.util.InputMismatchException;

public class Main {
    private static InputReader ir;
    private static OutputWriter ow;
    final static int INF = Integer.MAX_VALUE;

    public static void main(String[] args) throws Exception {
        initS();
        //initF("INPUT.TXT", "OUTPUT.TXT");
        task();
        exit();
    }

    private static void task() throws Exception {
        int a = ir.nextInt(), b = ir.nextInt(), c = ir.nextInt();
        int x = ir.nextInt(), y = ir.nextInt(), z = ir.nextInt();

        int bank = Math.max(0, a - x) / 2 + Math.max(0, b - y) / 2 + Math.max(0, c - z) / 2;
        int r = -Math.min(0, a - x) - Math.min(0, b - y) - Math.min(0, c - z);

        //ow.println(bank + " " + r);

        if (r <= bank) ow.print("YES");
        else ow.print("NO");
    }

    private static void initS() throws IOException {
        ir = new InputReader(System.in);
        ow = new OutputWriter(System.out);
    }

    private static void initF(String inName, String outName) throws IOException {
        ir = new InputReader(new FileInputStream(inName));
        ow = new OutputWriter(new FileOutputStream(outName));
    }

    private static void exit() throws Exception {
        ir.close();
        ow.close();
    }
}


class InputReader implements AutoCloseable {
    private final InputStream in;
    private int capacity;
    private byte[] buffer;
    private int len = 0;
    private int cur = 0;

    public InputReader(InputStream stream) {
        this(stream, 100_000);
    }

    public InputReader(InputStream stream, int capacity) {
        this.in = stream;
        this.capacity = capacity;
        buffer = new byte[capacity];
    }

    private int read() {
        if (cur >= len) {
            try {
                cur = 0;
                len = in.read(buffer, 0, capacity);
                if (len <= 0)
                    return -1;
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }
        return buffer[cur++];
    }

    private boolean isSpace(int c) {
        return c == ' ' || isEscape(c);
    }

    private boolean isEscape(int c) {
        return c == '\n' || c == '\t' || c == '\r' || c == -1;
    }

    private int readSkipSpace() {
        int c;
        do {
            c = read();
        } while (isSpace(c));
        return c;
    }

    int nextInt() {
        int c = readSkipSpace();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res = res * 10 + c - '0';
            c = read();
        } while (!isSpace(c));
        res *= sgn;
        return res;
    }

    public long nextLong() {
        int c = readSkipSpace();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        long res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res = res * 10 + c - '0';
            c = read();
        } while (!isSpace(c));
        res *= sgn;
        return res;
    }

    int nextChar() {
        return readSkipSpace();
    }

    String nextLine() {
        StringBuilder res = new StringBuilder();
        int c = readSkipSpace();
        do {
            res.append((char) (c));
            c = read();
        } while (!isEscape(c));
        return res.toString();
    }

    @Override
    public void close() throws Exception {
        in.close();
    }
}


class OutputWriter implements Flushable, AutoCloseable {
    private byte[] buf;
    private int capacity;
    private int count;
    private OutputStream out;

    public OutputWriter(OutputStream stream) {
        out = stream;
        capacity = 10_000;
        buf = new byte[capacity];
    }

    public OutputWriter(OutputStream stream, int capacity) {
        if (capacity <= 0)
            throw new IllegalArgumentException("capacity <= 0");
        out = stream;
        this.capacity = capacity;
        buf = new byte[capacity];
    }

    public void write(int b) throws IOException {
        if (count >= buf.length)
            flushBuffer();
        buf[count++] = (byte)b;
    }

    public void write(byte[] bytes, int off, int len) throws IOException {
        if (len >= buf.length) {
            flushBuffer();
            out.write(bytes, off, len);
            return;
        }
        if (len > buf.length - count)
            flushBuffer();
        System.arraycopy(bytes, off, buf, count, len);
        count += len;
    }

    public void write(byte[] bytes) throws IOException {
        write(bytes, 0, bytes.length);
    }

    public void print(int i) throws IOException {
        print(String.valueOf(i));
    }

    public void print(long l) throws IOException {
        print(String.valueOf(l));
    }

    public void print(String str) throws IOException {
        write(str.getBytes());
    }

    public void println() throws IOException {
        print("\n");
    }

    public void println(String str) throws IOException {
        print(str);
        print("\n");
    }

    public void println(int i) throws IOException {
        print(i);
        println();
    }

    public void println(long l) throws IOException {
        print(l);
        println();
    }

    public void print(String separator, Object... objects) throws IOException {
        if (objects == null) return;
        for (int i = 0; i < objects.length; ++i) {
            if (i != 0 && separator != null) print(separator);
            print(objects[i].toString());
        }
    }

    private void flushBuffer() throws IOException {
        if (count > 0) {
            out.write(buf, 0, count);
            count = 0;
        }
    }

    @Override
    public void flush() throws IOException {
        flushBuffer();
        out.flush();
    }

    @Override
    public void close() throws Exception {
        flush();
        out.close();
    }
}