John is going to a tourist meeting of pupils in his school. In his class he was made responsible for the tents. At home he found 3 tents: the first one weighs
a1 kilograms and accommodates
b1 people, the second tent weighs
a2 kilograms and accommodates
b2 people, the third tent weighs
a3 kilograms and accommodates
There are k pupils in John's class. Find out if John can choose tents such that all people can fit in them. Take into account that the selected tents should weigh no more than w kilograms in total.
The first line contains two integers k and w (1 ≤ k ≤ 15, 1 ≤ w ≤ 30). The second line contains six integers:
b3 (1 ≤
a3 ≤ 10, 1 ≤
b3 ≤ 15).
Print YES if it is possible to choose tents as desired, and NO otherwise.
10 10 5 5 6 6 4 5
12 3 2 11 5 13 2 8