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.lang.reflect.Array;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.util.TreeSet;

public class A1008 {
    public static void main(String [] args) /*throws Exception*/ {
        InputStream inputReader = System.in;
        OutputStream outputReader = System.out;
        InputReader in = new InputReader(inputReader);//new InputReader(new FileInputStream(new File("input.txt")));new InputReader(inputReader);
        PrintWriter out = new PrintWriter(outputReader);//new PrintWriter(new FileOutputStream(new File("output.txt")));
        Algorithm solver = new Algorithm();
        solver.solve(in, out);
        out.close();
    }
}

class Algorithm {
    void solve(InputReader ir, PrintWriter pw) {

        int [] first = new int [3], second = new int[3];
        int c1 = 0, c2 = 0;

        for (int i = 0; i < 3; i++) first[i] = ir.nextInt();
        for (int i = 0; i < 3; i++) second[i] = ir.nextInt();

        for (int i = 0, num; i < 3; i++) {
            num = first[i] - second[i];
            if (num >= 0) c1 += num / 2;
            else c2 += -num;
        }

        if (c1 >= c2) pw.print("Yes");
        else pw.print("No");

    }

    private static void mergeSort(int[] array) {
        if(array.length == 1)
            return;
        int[] first = new int[array.length / 2];
        int[] second = new int[array.length - first.length];
        System.arraycopy(array, 0, first, 0, first.length);
        System.arraycopy(array, first.length, second, 0, second.length);

        mergeSort(first);
        mergeSort(second);

        merge(first, second, array);
    }

    private static void merge(int[] first, int[] second, int[] result) {
        int iFirst = 0;
        int iSecond = 0;
        int j = 0;

        while (iFirst < first.length && iSecond < second.length) {
            if (first[iFirst] < second[iSecond]) {
                result[j] = first[iFirst];
                iFirst++;
            }
            else {
                result[j] = second[iSecond];
                iSecond++;
            }
            j++;
        }
        System.arraycopy(first, iFirst, result, j, first.length - iFirst);
        System.arraycopy(second, iSecond, result, j, second.length - iSecond);
    }

}

class InputReader {
    private BufferedReader reader;
    private StringTokenizer tokenizer;

    InputReader(InputStream stream) {
        reader = new BufferedReader(new InputStreamReader(stream), 32768);
        tokenizer = null;
    }

    String next() {
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                tokenizer = new StringTokenizer(reader.readLine());
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    String nextLine(){
        String fullLine;
        while (tokenizer == null || !tokenizer.hasMoreTokens()) {
            try {
                fullLine = reader.readLine();
            } catch (IOException e) {
                throw new RuntimeException(e);
            }
            return fullLine;
        }
        return null;
    }

    String [] toArray() {
        return nextLine().split(" ");
    }

    int nextInt() {
        return Integer.parseInt(next());
    }
    double nextDouble() {
        return Double.parseDouble(next());
    }
    long nextLong() {
        return Long.parseLong(next());
    }

}