Best Time to Buy and Sell Stock III
2014-05-14 13:35
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Say you have an array for which the ith element is the price of a given stock on day i.
Design an algorithm to find the maximum profit. You may complete at most two transactions.
Note:
You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).
想不出来,网上搜了一个算法,从头算一遍,然后在从尾算一遍当前最大值,然后从不同的i分割,前后加起来最大的情况。另外还看到了一个求最大k次交易的一个通用算法,是根据一篇论文写出来的,看来学术确实能用到平常的编程里来,其实想想现在的二分查找等算法不都是以前的论文么。
Design an algorithm to find the maximum profit. You may complete at most two transactions.
Note:
You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).
想不出来,网上搜了一个算法,从头算一遍,然后在从尾算一遍当前最大值,然后从不同的i分割,前后加起来最大的情况。另外还看到了一个求最大k次交易的一个通用算法,是根据一篇论文写出来的,看来学术确实能用到平常的编程里来,其实想想现在的二分查找等算法不都是以前的论文么。
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可以在同一次,所以直接都是i相加就可以了 for (int i = 0; i < len; i++) { maxProfit = max(maxProfit, history[i] + future[i]); } return maxProfit; }
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