[leetcode]Best Time to Buy and Sell Stock III @ Python
原题地址:https://oj.leetcode.com/problems/best-time-to-buy-and-sell-stock-iii/
题意:
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).
解题思路:只允许做两次交易,这道题就比前两道要难多了。解法很巧妙,有点动态规划的意思:开辟两个数组f1和f2,f1[i]表示在price[i]之前进行一次交易所获得的最大利润,f2[i]表示在price[i]之后进行一次交易所获得的最大利润。则f1[i]+f2[i]的最大值就是所要求的最大值,而f1[i]和f2[i]的计算就需要动态规划了,看代码不难理解。
代码:
class Solution:
# @param prices, a list of integer
# @return an integer
def maxProfit(self, prices):
length=len(prices)
if length==0: return 0
f1=[0 for i in range(length)]
f2=[0 for i in range(length)] minV=prices[0]; f1[0]=0
for i in range(1,length):
minV=min(minV, prices[i])
f1[i]=max(f1[i-1],prices[i]-minV) maxV=prices[length-1]; f2[length-1]=0
for i in range(length-2,-1,-1):
maxV=max(maxV,prices[i])
f2[i]=max(f2[i+1],maxV-prices[i]) res=0
for i in range(length):
if f1[i]+f2[i]>res: res=f1[i]+f2[i]
return res
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