ZZZ is an enthusiastic ACMer and he spends lots of time on training. He always stays up late for training. He needs enough time to sleep, and hates skipping classes. So he always sleeps in the class. With the final exams coming, he has to spare some time to listen to the teacher. Today, he hears that the teacher will have a revision class. The class is N (1 <=N <= 1000) minutes long. If ZZZ listens to the teacher in the i-th minute, he can get A_{i} (1<= Ai <=1000)points. If he starts listening, he will listen to the teacher at least L (1 <=L <= N) minutes consecutively. It`s the most important that he must have at least M (1 <= M <= N) minutes for sleeping (the M minutes needn`t be consecutive).Suppose ZZZ knows the points he can get in every minute. Now help ZZZ to compute the maximal points he can get.
Input
The input contains several cases. The first line of each case contains three integers N, M, L mentioned in the description. The second line follows N integers separated by spaces. The i-th integer A_{i} means there are A_{i} points in the i-th minute.
Output
For each test case, output an integer, indicating the maximal points ZZZ can get.