Description

Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not. Unfortunately, not all numbers are lucky. Petya calls a number nearly lucky if the number of lucky digits in it is a lucky number. He wonders whether number is a nearly lucky number.

Input

The input contains some integers whthin 1 and  10^120.

Output

Print on the single line "YES" if the number is a nearly lucky number. Otherwise, print "NO" (without the quotes).

Sample

Input

40047
7747774
1000000000000000000

Output

NO
YES
NO