CATM  The Cats and the Mouse
In a rectangular field of size n by m squares there is a mouse and two cats. The mouse is the first to make a move, then each of the cats makes a move, then again its the mouse's turn, and so on. In each move both the mouse and the cats can move exactly one square vertically or horizontally. If the mouse is standing at the edge of the field then in its next move it can jump off the field and is saved from the cats. If in the next move one of the cats moves to the field with the mouse then there is no escape for the mouse ... =(
You are to write a program which, knowing the initial positions of mouse and the two cats, will find out if there is any way for the mouse to escape from the cats, assuming of course that each cat will do its best to catch the mouse.
Input
In the first line of input two integers n and m are given, not exceeding 100, where n is the number of rows, and m  the number of columns. The second line contains a number k [k <= 10], which defines the number of test cases for the given field. In the next k lines the initial positions of the mouse and the cats are given. The position in the field is given by two numbers: the first is the number of the row, the second is the number of the column. The first two integers are the coordinates of the mouse, the next four integers are the coordinates of the cats.
Output
You must output k lines with answers for each test case. The answer is YES, if the mouse can escape or NO otherwise.
Example
Input: 5 3 3 2 2 1 1 3 3 2 3 1 3 5 2 3 2 1 2 4 3 Output: NO YES YES
Author: Filimonenkov D.O.
hide comments
paras meena:
20140130 21:04:06
I hate This Type Of Problem 

newbie:
20140126 21:59:45
very nice solution....think easy 

Piotr Lesniewski:
20131101 20:50:21
easy but fun :) 

sachin kumar:
20130916 09:36:17
both cats should catch the mouse or anyone? 

Yashwanth:
20130905 19:00:48
nice one!!


LeppyR64:
20130723 13:48:46
Both cats and the mouse are all in unique locations.


Federico LebrÃ³n:
20130504 21:09:48
Ugh. Input contains lines with something other than 6 spacedelimited integers. My Haskell solution failed with NZEC until I discarded lines where breaking into words and reading each word as an int didn't yield 6 elements. 

aman:
20130329 11:20:28
they are not taking the case that mouse and cats are at same positions.. hence dont worry about it.. 

Aman Verma:
20121231 09:06:16
what does the line mean "If in the next move one of the cats moves to the field with the mouse then there is no escape for the mouse"


ginnipkj:
20121217 13:35:16
first thought graph ended up with high school mathematics

Added by:  Roman Sol 
Date:  20060504 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  ZCon 2007 