CF606A.Magic Spheres

普及/提高-

通过率：0%

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题目描述

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)?

输入格式

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.

输出格式

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

输入输出样例

输入#1
```
4 4 0
2 1 2
```
输出#1
```
Yes
```
输入#2
```
5 6 1
2 7 2
```
输出#2
```
No
```
输入#3
```
3 3 3
2 2 2
```
输出#3
```
Yes
```

说明/提示

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.

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