LeetCode-in-Go

123. Best Time to Buy and Sell Stock III

Hard

You are given an array prices where prices[i] is the price of a given stock on the ith day.

Find the maximum profit you can achieve. You may complete at most two transactions.

Note: You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).

Example 1:

Input: prices = [3,3,5,0,0,3,1,4]

Output: 6

Explanation: Buy on day 4 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3. Then buy on day 7 (price = 1) and sell on day 8 (price = 4), profit = 4-1 = 3.

Example 2:

Input: prices = [1,2,3,4,5]

Output: 4

Explanation: Buy on day 1 (price = 1) and sell on day 5 (price = 5), profit = 5-1 = 4. Note that you cannot buy on day 1, buy on day 2 and sell them later, as you are engaging multiple transactions at the same time. You must sell before buying again.

Example 3:

Input: prices = [7,6,4,3,1]

Output: 0

Explanation: In this case, no transaction is done, i.e. max profit = 0.

Constraints:

Solution

func maxProfit(prices []int) int {
	if len(prices) == 0 {
		return 0
	}
	fb := -1 << 31
	sb := -1 << 31
	fs := 0
	ss := 0
	for _, price := range prices {
		fb = max(fb, -price)
		fs = max(fs, fb+price)
		sb = max(sb, fs-price)
		ss = max(ss, sb+price)
	}
	return ss
}

func max(a, b int) int {
	if a > b {
		return a
	}
	return b
}