I think every one of you has played Starcraft. In order to simplify, we just consider the five characters:
Armor: the defender's defending ability;
HP: the points of health;
Power: attacker's power at each hit;
Amount: the amount of hitting each time;
Cool: the time between the ending of the attack and the beginning of another, but neglect the time of attacking;
the formula of the damage of each hit
(Power - Armor) * Amount
Each hit cause at least one point of damage. If one's hp<=0, he is dead. After waiting the first Cool time, there will be the first attack.
Input
You're given several cases. Each test case begins with a line contains the name of the unit. The following line contains the five characters of the first unit, followed the second.
HP, Power, Amount, Cool are natural numbers, and Armor is a no negative number. The input is terminated by EOF, and there is a blank line between two cases.
Output
Just Print a single line "name Survive!" if one killed the other, or "All Die!".
Sample Input
Zerging
35 0 6 1 5
Marine
40 0 15 1 6
Zealot
100 2 40 2 8
Zealot2
100 2 40 2 8
Sample Output
Zerging Survive!
All Die!
