def max_profit(price, k):
    
    n = len(price)
    final_profit = [[None for x in range(n)] for y in range(k + 1)]
    for i in range(k + 1):
        for j in range(n):
            if i == 0 or j == 0:
                final_profit[i][j] = 0
            else:
                max_so_far = 0
                for x in range(j):
                    curr_price = price[j] - price[x] + final_profit[i-1][x]
                    if max_so_far < curr_price:
                        max_so_far = curr_price
                final_profit[i][j] = max(final_profit[i][j-1], max_so_far)
    return final_profit[k][n-1]
def min_cost(cost, m, n):
	R = 3
	C = 3
	 
	tc = [[0 for x in range(C)] for x in range(R)] 
	tc[0][0] = cost[0][0] 
	for i in range(1, m+1): 
		tc[i][0] = tc[i-1][0] + cost[i][0] 
	for j in range(1, n+1): 
		tc[0][j] = tc[0][j-1] + cost[0][j] 
	for i in range(1, m+1): 
		for j in range(1, n+1): 
			tc[i][j] = min(tc[i-1][j-1], tc[i-1][j], tc[i][j-1]) + cost[i][j] 
	return tc[m][n]