12144 - Dark Souls   

Description

Dark Souls is a famous video game. The main character in Dark Souls 3 is known as

" Ashen one ". Today you are the Ashen one.


You are in a 5*5 room. You are at the

position ( 1, 1 ) -- the top left corner -- and you want to reach the

position ( 5, 5 )-- the lower right corner.

There's no obstacle in the room but monsters. If you and the monster are at the same position, you need to fight it.

The rule of fighting is Turn-based. You can always attack first, if the monster didn't die after your attack, then it's the monster's turn to attack you and so on. 

There is always only two result after a fight, you died or the monster died.

Note that once you lost your hp you can't restore it.

Find out if you can reach the position ( 5,5 )

 

 

Input

input contain servel lines.

First line contains three integers.

The Hp, attack of Ashen one and k( 1 <= k <= 25 ) the number of monsters.

Following k lines each lines contains four integers.

The Hp, attack of i-th monster and the position x,y of i-th monster.

All numbers are >= 1 and in the range of int

Output

If you can reach the position ( 5 ,5 ) print "HEIR OF FIRE DESTROYED"

otherwise print "YOU DIED"

remember to print \n at the end of output

Sample Input  Download

Sample Output  Download

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