You just completed an RSP mock interview with a particularly clever cockatiel.

Scoring for the interview is composed of 3 sections:

• A behavioural question, which has one score from ~0~ to ~10~ inclusive.
• An easy LeetCode, which has five scores from ~0~ to ~10~ inclusive.
• A medium LeetCode, which has five scores from ~0~ to ~10~ inclusive.

To pass the interview, all of your scores need to be at least ~5~. Are you destined to be the next legend of RSP?

Input

The first line contains a single integer, ~b~ ~(1 \leq b \leq 10)~, your score for the behavioural question.

The second line contains five integers, ~e_1, \dots, e_5~, your scores for the easy LeetCode.

The third line contains five integers, ~m_1, \dots, m_5~, your scores for the medium LeetCode.

Output

Output "Yes" if you have passed the mock interview, otherwise output "No".

Example

Input 1

5
10 8 9 7 6
5 10 2 5 5

Output 1

No

You got a score of ~2~ for one part of the medium LeetCode, so you failed the interview.

Input 2

9
5 6 7 6 7
5 8 9 5 5

Output 2

Yes

Input 3

4
10 10 10 10 10
10 10 10 10 10

Output 3

No