LeetCode in TypeScript

188. Best Time to Buy and Sell Stock IV

Hard

You are given an integer array prices where prices[i] is the price of a given stock on the ith day, and an integer k.

Find the maximum profit you can achieve. You may complete at most k transactions.

Note: You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).

Example 1:

Input: k = 2, prices = [2,4,1]

Output: 2

Explanation: Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2.

Example 2:

Input: k = 2, prices = [3,2,6,5,0,3]

Output: 7

Explanation: Buy on day 2 (price = 2) and sell on day 3 (price = 6), profit = 6-2 = 4. Then buy on day 5 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.

Constraints:

Solution

function maxProfit(k: number, prices: number[]): number {
    const n = prices.length
    const dp: number[] = new Array(k + 1).fill(0)
    const maxdp: number[] = new Array(k + 1).fill(Number.MIN_SAFE_INTEGER)
    for (let i = 1; i <= n; i++) {
        maxdp[0] = Math.max(maxdp[0], dp[0] - prices[i - 1])
        for (let j = k; j >= 1; j--) {
            maxdp[j] = Math.max(maxdp[j], dp[j] - prices[i - 1])
            dp[j] = Math.max(dp[j], maxdp[j - 1] + prices[i - 1])
        }
    }
    return dp[k]
}

export { maxProfit }