For this exercise, a list of non-negative numbers will be given, for which the following operation can be done: subtract 1 from two contiguous elements from the list. It must say whether after any number of operations the list can be converted to a list of zeros.   Entry The input will be a list of non-negative integers x_i such that 0 <= x_i <= 2000000000. ". Departure If the given list can be converted to a list of zeros with the operation defined above, print "YES", otherwise, print "NO". Examples Input Example 1 1 2 Output Example 1 NOT Input Example 2 2 4 2 Output Example 2 YES

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter17: Linked Lists
Section: Chapter Questions
Problem 18PE
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For this exercise, a list of non-negative numbers will be given, for which the following operation can be done: subtract 1 from two contiguous elements from the list.


It must say whether after any number of operations the list can be converted to a list of zeros.

 

Entry
The input will be a list of non-negative integers x_i such that 0 <= x_i <= 2000000000. ".


Departure
If the given list can be converted to a list of zeros with the operation defined above, print "YES", otherwise, print "NO".


Examples

Input Example 1

1 2
Output Example 1

NOT

Input Example 2

2 4 2
Output Example 2

YES

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