Best Time to Buy and Sell Stock III

int maxProfitIII(vector<int> &prices) 
{
	int len = prices.size();
	if (len == 0) return 0;

	vector<int> history(len, 0);
	vector<int> future(len, 0);

	int low = prices[0];
	for (int i = 1; i < len; i++)
	{
		history[i] = max(history[i-1], prices[i] - low);
		low = min(low, prices[i]);
	}

	int high = prices[len-1];
	for (int i = len-2; i >= 0; i--)
	{
		future[i] = max(future[i+1], high - prices[i]);
		high = max(high, prices[i]);
	}

        int maxProfit = 0; // 网上说第一次的卖和第二次的买能够在同一次。所以直接都是i相加就能够了
	for (int i = 0; i < len; i++)
	{
		maxProfit = max(maxProfit, history[i] + future[i]);
	}
		
	return maxProfit;
}