You are given an array prices where prices[i] is the price of a given stock on the ith day, and an integer fee 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:** You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).

**Example 1:**

**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.

**Example 2:**

**Input:** prices = [1,3,7,5,10,3], fee = 3
**Output:** 6

**Constraints:**

1 <= prices.length <= 5 * 104

1 <= prices[i] < 5 * 104

0 <= fee < 5 * 104

**Solution**:

```
class Solution {
public int maxProfit(int[] prices, int fee) {
int havingstock,nothavingstock;
havingstock = -prices[0];
nothavingstock =0;
for(int i=1;i<prices.length;i++)
{
havingstock = Math.max(havingstock,nothavingstock-prices[i]);
nothavingstock = Math.max(nothavingstock,havingstock+prices[i]-fee);
}
return nothavingstock;
}
}
```

## Comments