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The game "display" is gaining popularity in casinos around the world. The game is run on a big screen visible to all players. A single integer is displayed on the screen, which changes every minute.
The players attempt to determine the sum of K consecutive numbers, starting from the B-th displayed number. More precisely, if Xn is the n-th number displayed (starting with X1), then players try to determine the sum XB + XB+1 + ... + XB+K−1.
Mirko is thrilled with this game and often spends five or six hours calculating sums and growing in debt. Recently he realized that the numbers on screen follow a precise pattern; the same sequence of N integers repeats over and over.
Help Mirko to find the sought sum, given the sequence of number repeating.
The first line contains three integers N, K and B, 1 ≤ N ≤ 100, 1 ≤ K ≤ 100, 1 ≤ B ≤ 109.
The second line contains N non-negative integers less than 100, separated by spaces. This is the sequence that keeps repeating on screen.
Output the sum on a single line.
6 3 10 29 6 35 0 6 8
5 7 154 1 2 3 4 5
2 100 100000 1 0
In the first example, the tenth number displayed is 0, followed by 6 and 8. The sum is 14.