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 Bth displayed number. More precisely, if Xn is the nth 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.

INPUT:
The first line contains three integers N, K and B, 1 ≤ N ≤ 100, 1 ≤ K ≤ 100, 1 ≤ B ≤ 10^9.The second line contains N nonnegative integers less than 100, separated by spaces. This is the sequence that keeps repeating on screen.

OUTPUT:
Output the sum on a single line.

Input

Output