You are given an array prices of size N where prices[i] is the price of a given stock on the ith day.
Find the maximum profit you can achieve. You may complete most K transactions.
For every transaction, you will be charged a stockbroker fee, C.
Note: You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).
Constraints:
0 <= K <= 100
0 <= C <= 1000
0 <= prices.length <= 1000
0 <= prices[i] <= 1000
Input
Input is given from Standard Input in the following format:
N K C
a1 a2 ..... aN
Output
Print the maximum profit.
Buy on day 2 (price = 2) and sell on day 3 (price = 6), profit = 6-2 = 4. Then buy on day 5 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.(finally 1+1 = 2 will be charged for two transactions)