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.
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visvats_141095:
20160910 09:55:16
Awesome one! So, it was all about speed of 'em! :p 

Siddharth Singh:
20151214 13:38:05
Pretty Awesome Adhoc , took me 2 days , hats off to the problem creator :) 

SangKuan:
20150814 10:06:48
easy no need bfs.but i got 3 wa.because i treat row as column, column as row... 

Sunny:
20141024 10:28:21
my 50th.. :) :D


sobriquet:
20140715 08:18:47
Amazing ADHOC. 

yousef hadder:
20140411 21:52:55
@do_do:


yousef hadder:
20140411 21:45:47
solved with Multi source BFS in 0.01S


Petar Bosnjak:
20140410 23:17:41
Nice one , think simple 

The Reaper:
20140225 19:33:08
Great question. Think simple and you will get it. 

do_do:
20140211 15:13:31
for test case 2, the first cat is at (1,3) and mouse is at (2,3)...how can mouse escape... please help me i m confused.

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 