A numeric string, , is beautiful if it can be split into a sequence of two or more positive integers, , satisfying the following conditions:

1. for any (i.e., each element in the sequence is more than the previous element).
2. No contains a leading zero. For example, we can split into the sequence , but it is not beautiful because and have leading zeroes.
3. The contents of the sequence cannot be rearranged. For example, we can split into the sequence , but it is not beautiful because it breaks our first constraint (i.e., ).

The diagram below depicts some beautiful strings:

Perform queries where each query consists of some integer string . For each query, print whether or not the string is beautiful on a new line. If it is beautiful, print YES x, where is the first number of the increasing sequence. If there are multiple such values of , choose the smallest. Otherwise, print NO.

Function Description

Complete the separateNumbers function in the editor below.

separateNumbers has the following parameter:

• s: an integer value represented as a string

Prints
- string: Print a string as described above. Return nothing.