Medium
You are given an integer array prices
where prices[i]
is the price of a stock in dollars on the ith
day, and an integer k
.
You are allowed to make at most k
transactions, where each transaction can be either of the following:
Normal transaction: Buy on day i
, then sell on a later day j
where i < j
. You profit prices[j] - prices[i]
.
Short selling transaction: Sell on day i
, then buy back on a later day j
where i < j
. You profit prices[i] - prices[j]
.
Note that you must complete each transaction before starting another. Additionally, you can’t buy or sell on the same day you are selling or buying back as part of a previous transaction.
Return the maximum total profit you can earn by making at most k
transactions.
Example 1:
Input: prices = [1,7,9,8,2], k = 2
Output: 14
Explanation:
We can make $14 of profit through 2 transactions:
Example 2:
Input: prices = [12,16,19,19,8,1,19,13,9], k = 3
Output: 36
Explanation:
We can make $36 of profit through 3 transactions:
Constraints:
2 <= prices.length <= 103
1 <= prices[i] <= 109
1 <= k <= prices.length / 2
import kotlin.math.max
class Solution {
fun maximumProfit(prices: IntArray, k: Int): Long {
val n = prices.size
var prev = LongArray(n)
var curr = LongArray(n)
for (t in 1..k) {
var bestLong = -prices[0].toLong()
var bestShort = prices[0].toLong()
curr[0] = 0
for (i in 1..<n) {
var res = curr[i - 1]
res = max(res, prices[i] + bestLong)
res = max(res, -prices[i] + bestShort)
curr[i] = res
bestLong = max(bestLong, prev[i - 1] - prices[i])
bestShort = max(bestShort, prev[i - 1] + prices[i])
}
val tmp = prev
prev = curr
curr = tmp
}
return prev[n - 1]
}
}