Write a program that, given a sequence of integer numbers strictly positive ended with 0, prints if contains any peak greater than 3143 (the height of Pica d’Estats). A peak is an integer of the sequence that has a predecessor and a successor and it is strictly greater than them.

**Input**

Input is a sequence of integer numbers strictly positive ended with 0. At least, always there are three integer numbers (not counting the 0).

**Output**

The output must be “`YES`” if there is any peak greater than 3143, and “`NO`” otherwise.

Public test cases

**Input**

21 41 51 32 26 37 37 27 12 31 42 30 0

**Output**

NO

**Input**

1234 912 1021 921 1012 3150 4653 5678 0

**Output**

NO

**Input**

1234 912 1021 9012 1012 3150 256 68 29 29 0

**Output**

YES

Information

- Author
- Jordi Petit
- Language
- English
- Translator
- Carlos Molina
- Original language
- Catalan
- Other languages
- Catalan
- Official solutions
- C++ Pascal
- User solutions
- C++ Python