Magic Spheres

#### 题目描述 Carl 有三种类型的魔法球分别有 $a$ 个, $b$ 个, $c$ 个，他可以使任意两个相同类型的魔法球变为另一种类型的魔法球，当他三种类型的魔法球数量分别对应为 $x$ 个, $y$ 个, $z$ 个的时候可以组成魔法阵，现在请你求 Carl 能否成功组成魔法阵。 #### 输入格式 第一行输入 $3$ 个整数，分别为 $a$，$b$，$c$。 第二行输入 $3$ 个整数，分别为 $x$，$y$，$z$。 #### 输出格式 如果 Carl 可以成功组成魔法阵，输出 `Yes`。 如果 Carl 不可能成功组成魔法阵，输出 `No`。 #### 数据大小 $0\leq a,b,c,x,y,z\leq 10^6$

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)?

The first line of the input contains three integers $ a $ , $ b $ and $ c $ ( $ 0<=a,b,c<=1000000 $ ) — 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<=1000000 $ ) — the number of blue, violet and orange spheres that he needs to get.

If the wizard is able to obtain the required numbers of spheres, print "Yes". Otherwise, print "No".

4 4 0
2 1 2

Yes

5 6 1
2 7 2

No

3 3 3
2 2 2

Yes

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.