Battle
Description
You're Zhu Rengong, a formidable hero. After a number of challenging missions, you are finally facing the final Boss – a black dragon called Heilong. Due to his overwhelming power, you have to plan your actions carefully.
You have H1 hit points (HP) at the beginning of the battle, and Heilong has H2. Heilong attacks you each time you do an action, and deal Ai points of damage in the i-th round. You have three kinds of actions.
- Attack. You attack Heilong, and do x points of damage.
- Defend. You focus on avoiding the attack of Heilong. This action nullifies Heilong's attack in this round.
- Heal. You heal yourself, adding y hit points to yourself. There is no upper bound on your HP.
If anyone's HP drop below or equal to 0, he dies. If you can't kill the dragon within N rounds, you will also die. So you need to know how many rounds you need to kill the black dragon. If you cannot kill him, you will have to calculate the maximal damage you can do on Heilong.
Input
The first line contains five integers, N, x, y, H1, H2. 1 ≤ N ≤ 105, 1 ≤ x,y ≤ 104, 1 ≤ H1,H2 ≤ 109. Then follow N lines, the ith line contains one integer Ai-1. 1 ≤ Ai-1 ≤ 104.
Output
If you can kill Heilong, the first line of your output should be "Win". Otherwise "Lose".
The second line contains the number of rounds you need to kill Heilong if the first line is "Win", or the maximal damage you can do if the first line is "Lose".
Sample Input 1
4 1 1 3 3
1
10
1
10
Sample Input 2
4 1 1000 1 4
1
10
1
1
Sample Output 1
Win
4
Sample Output 2
Lose
3
Hint
In Sample 1, you have to defend in the 2nd round, othewise you will die.
In Sample 2, you heal yourself in the first round, and keep attacking until N rounds expires.
Source
POJ Monthly--2007.11.25, Yang Yi