<? echo $row['title']." - ".$MSG_PROBLEM."

Time Limit: 2 sec / Memory Limit: 1024 MB

Score :

200

points

Takahashi's shop sells

N

products. The usual price of the

i

-th product is

A_i

yen (Japanese currency).
It has a bargain sale today, with a discount of

1

yen off the usual prices for the

2

-nd,

4

-th, and the subsequent even-indexed products. The

1

-st,

3

-rd, and the subsequent odd-indexed products are sold for their usual prices.
You have

X

yen. Can you buy all the

N

products with this money?

Input is given from Standard Input in the following format:

 $N$  $X$  $A_1$  $A_2$  $\ldots$  $A_N$

If you can buy all the

N

products, print Yes; otherwise, print No.