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.
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