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.*;
import java.io.*;

public class CodeForces {

    public static void main(String[] args) throws IOException {

        Reader.init(System.in);
        int a = Reader.nextInt();
        int c = Reader.nextInt();
        int b = Reader.nextInt();
    
        int a1 = Reader.nextInt();
        int c1 = Reader.nextInt();
        int b1 = Reader.nextInt();
    
        
        int count = 0;
        
        if(a > a1){
            count += a - a1;
            count -= (a - a1) % 2;
        }
        
        if(b > b1){
            count += b - b1;
            count -= (b - b1) % 2;
        }
        
        if(c > c1){
            count += c - c1;
            count -= (c - c1) % 2;
        }
        
        
        
        if(a < a1){
            count -= (a1 - a)*2;
        }
        
        if(b < b1){
            count -= (b1 - b)*2;
        }
        
        if(c < c1){
            count -= (c1 - c) * 2;
        }
        
        if(count < 0)
            System.out.println("No");
        else
            System.out.println("Yes");
    }
 
    static double dis(double i, double j, double x, double y) {
        return Math.sqrt(((i - x) * (i - x)) + ((j - y) * (j - y)));
    }
}

class Node{
    int element;
    Node link;
    
    Node(int e){
        element = e;
    }
}

class LinkedList{
    Node Header = new Node(-1);
    Node last = Header;
    
    void add(int e){
        last.link = new Node(e);
        last = last.link;
    }
    
    Node copey(Node cur){
        if(cur == null)
            return cur;
        
        Node NEW = new Node(cur.element);
        NEW.link = copey(cur.link);
        return NEW;
    }
    
    void print(Node cur){
        if(cur == null)
            return;
        System.out.println(cur.element);
        print(cur.link);
    }
}
class Edge implements Comparable<Edge> {

    int to;
    int from;
    int cost;

    Edge(int a, int b, int c) {
        from = a;
        to = b;
        cost = c;
    }

    @Override
    public int compareTo(Edge t) {
        return t.cost - cost;
    }
}

class Pair implements Comparable<Pair> {

    int pos, time;

    Pair(int a, int b) {
        pos = b;
        time = a;
    }

    @Override
    public int compareTo(Pair t) {
        return time - t.time;
    }
}

class Reader {

    static BufferedReader reader;
    static StringTokenizer tokenizer;

    public static int pars(String x) {
        int num = 0;
        int i = 0;
        if (x.charAt(0) == '-') {
            i = 1;
        }
        for (; i < x.length(); i++) {
            num = num * 10 + (x.charAt(i) - '0');
        }

        if (x.charAt(0) == '-') {
            return -num;
        }

        return num;
    }

    static void init(InputStream input) {
        reader = new BufferedReader(
                new InputStreamReader(input));
        tokenizer = new StringTokenizer("");
    }

    static void init(FileReader input) {
        reader = new BufferedReader(input);
        tokenizer = new StringTokenizer("");
    }

    static String next() throws IOException {
        while (!tokenizer.hasMoreTokens()) {
            tokenizer = new StringTokenizer(
                    reader.readLine());
        }
        return tokenizer.nextToken();
    }

    static int nextInt() throws IOException {
        return pars(next());
    }

    static long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    static double nextDouble() throws IOException {
        return Double.parseDouble(next());
    }
}