(SENIOR) Sir Ajay Somani and travelling

All submissions for this problem are available.
Sir Ajay Somani is passionate about traveling new places and experiencing new cultures. To plan this he creates a Cartesian map. He starts at origin (0,0).
Now he travels in the following manner:.
 Initially he is at origin position (0,0).
 In the beginning he goes 1 step to the East (i.e. In a single step, his x coordinate will increase by 1 unit.)
 then 2 steps to the North, (i.e. In a single step, his y coordinate will increase by 1 unit.)
 then 3 steps to the West, (i.e. In a single step, his x coordinate will decrease by 1 unit.)
 then 4 steps to the South, (i.e. In a single step, his y coordinate will decrease by 1 unit.)
 then 5 steps to the East,
As you can see after each travel he turns 90 degrees anticlockwise and it will then go one more step than before.
Now he wants to know whether he has visited the point (X, Y) or not.
Input
The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows.
For each test case, there is a single line containing two spaceseparated integers X and Y.
Output
For each test case, output a single line containing "YES" (without qoutes) if he has visited the point (X,Y) and "NO" otherwise.
Constraints
 1 ≤ T ≤ 100000.
 1000000000 ≤ X, Y ≤ 1000000000, i.e., 10^{9} ≤ X, Y ≤ 10^{9}
Example
Input: 3 3 3 3 5 0 0 Output: YES NO YES
Explanation
The points (0, 0) and (3, 3) have been visited by him, while point (3, 5) has not been visited because point (3, 5) does not lie on his travel plan.
Author:  palash117 
Tags  palash117 
Date Added:  26022015 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA 
Comments
 Please login at the top to post a comment.
SUCCESSFUL SUBMISSIONS
Fetching successful submissions
HELP
If you are still having problems, see a sample solution here. 