best-time-to-buy-and-sell-stock-with-transaction-fee

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Algorithms

You are given an array <code>prices</code> where <code>prices[i]</code> is the price of a given stock on the <code>ith</code> day, and an integer <code>fee</code> representing a transaction fee.

Find the maximum profit you can achieve. You may complete as many transactions as you like, but you need to pay the transaction fee for each transaction.

Note:

<ul>
	<li>You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).</li>
	<li>The transaction fee is only charged once for each stock purchase and sale.</li>
</ul>

&nbsp;
Example 1:

<pre>
Input: prices = [1,3,2,8,4,9], fee = 2
Output: 8
Explanation: The maximum profit can be achieved by:
- Buying at prices[0] = 1
- Selling at prices[3] = 8
- Buying at prices[4] = 4
- Selling at prices[5] = 9
The total profit is ((8 - 1) - 2) + ((9 - 4) - 2) = 8.
</pre>

Example 2:

<pre>
Input: prices = [1,3,7,5,10,3], fee = 3
Output: 6
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= prices.length &lt;= 5 * 104</code></li>
	<li><code>1 &lt;= prices[i] &lt; 5 * 104</code></li>
	<li><code>0 &lt;= fee &lt; 5 * 104</code></li>
</ul>

maxProfit

Best Time to Buy and Sell Stock with Transaction Fee

Best Time to Buy and Sell Stock II

best-time-to-buy-and-sell-stock-ii

买卖股票的最佳时机 II

Greedy

Array

Dynamic Programming

给定一个整数数组&nbsp;<code>prices</code>，其中 <code>prices[i]</code>表示第&nbsp;<code>i</code>&nbsp;天的股票价格 ；整数&nbsp;<code>fee</code> 代表了交易股票的手续费用。

你可以无限次地完成交易，但是你每笔交易都需要付手续费。如果你已经购买了一个股票，在卖出它之前你就不能再继续购买股票了。

返回获得利润的最大值。

注意：这里的一笔交易指买入持有并卖出股票的整个过程，每笔交易你只需要为支付一次手续费。

&nbsp;

示例 1：

<pre>
输入：prices = [1, 3, 2, 8, 4, 9], fee = 2
输出：8
解释：能够达到的最大利润: 
在此处买入&nbsp;prices[0] = 1
在此处卖出 prices[3] = 8
在此处买入 prices[4] = 4
在此处卖出 prices[5] = 9
总利润:&nbsp;((8 - 1) - 2) + ((9 - 4) - 2) = 8</pre>

示例 2：

<pre>
输入：prices = [1,3,7,5,10,3], fee = 3
输出：6
</pre>

&nbsp;

提示：

<ul>
	<li><code>1 &lt;= prices.length &lt;= 5 * 104</code></li>
	<li><code>1 &lt;= prices[i] &lt; 5 * 104</code></li>
	<li><code>0 &lt;= fee &lt; 5 * 104</code></li>
</ul>