[LeetCode]题解(python):123-Best Time to Buy and Sell Stock III

题目来源:

  https://leetcode.com/problems/best-time-to-buy-and-sell-stock-iii/


题意分析:

  和上题类似,array[i]代表第i天物品价格,如果只能交易2次。问最大利润。


题目思路:

  这是一个动态规划问题。不难想到把整个数组拆成两部分。那么用两个数组First,second分别array[:i]和array[i:]的最大利润。那么答案就等于max(First[i] + second[i + 1])。


代码(python):

  

class Solution(object):
def maxProfit(self, prices):
"""
:type prices: List[int]
:rtype: int
"""
size = len(prices)
if size == 0: return 0
first,second = [0 for i in range(size)],[0 for i in range(size+1)]
minp = prices[0]
for i in range(size):
if prices[i] <= minp:
minp = prices[i];first[i] = first[i - 1]
first[i] = max(prices[i] - minp,first[i-1])
maxp = prices[size-1]
j = size - 1
while j >= 0:
if prices[j] >= maxp:
maxp = prices[j]
second[j] = max(second[j+1],maxp - prices[j])
j -= 1
ans = 0
for i in range(size):
ans = max(ans,first[i]+second[i+1])
return ans
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