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122. Best Time to Buy and Sell Stock II

Say you have an array for which the ith element is the price of a given stock on day i.

Design an algorithm to find the maximum profit. You may complete as many transactions as you like (i.e., buy one and sell one share of the stock multiple times).

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

Example 1:
Input: [7,1,5,3,6,4]
Output: 7
Explanation: Buy on day 2 (price = 1) and sell on day 3 (price = 5), profit = 5-1 = 4.
             Then buy on day 4 (price = 3) and sell on day 5 (price = 6), profit = 6-3 = 3.
Example 2:
Input: [1,2,3,4,5]
Output: 4
Explanation: Buy on day 1 (price = 1) and sell on day 5 (price = 5), profit = 5-1 = 4.
             Note that you cannot buy on day 1, buy on day 2 and sell them later, as you are
             engaging multiple transactions at the same time. You must sell before buying again.
Example 3:
Input: [7,6,4,3,1]
Output: 0
Explanation: In this case, no transaction is done, i.e. max profit = 0.

思路分析

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  • 二刷

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/**
 * Runtime: 1 ms, faster than 87.57% of Java online submissions for Best Time to Buy and Sell Stock II.
 * Memory Usage: 42.8 MB, less than 5.71% of Java online submissions for Best Time to Buy and Sell Stock II.
 *
 * Copy from: https://leetcode-cn.com/problems/best-time-to-buy-and-sell-stock-with-cooldown/solution/yi-ge-fang-fa-tuan-mie-6-dao-gu-piao-wen-ti-by-lab/[一个方法团灭 6 道股票问题 - 最佳买卖股票时机含冷冻期 - 力扣(LeetCode)]
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2020-01-04 10:55
 */
public int maxProfitDp(int[] prices) {
    int dp0 = 0;
    int dp1 = Integer.MIN_VALUE;
    for (int i = 0; i < prices.length; i++) {
        dp0 = Math.max(dp0, dp1 + prices[i]);
        dp1 = Math.max(dp1, dp0 - prices[i]);
    }
    return dp0;
}
/**
 * Runtime: 1 ms, faster than 85.09% of Java online submissions for Best Time to Buy and Sell Stock II.
 *
 * Memory Usage: 37 MB, less than 100.00% of Java online submissions for Best Time to Buy and Sell Stock II.
 */
public int maxProfit(int[] prices) {
    if (Objects.isNull(prices) || prices.length == 0) {
        return 0;
    }
    int result = 0;
    for (int i = 1; i < prices.length; i++) {
        if (prices[i - 1] < prices[i]) {
            result += prices[i] - prices[i - 1];
        }
    }
    return result;
}
/**
 * Runtime: 1 ms, faster than 85.09% of Java online submissions for Best Time to Buy and Sell Stock II.
 *
 * Memory Usage: 37 MB, less than 100.00% of Java online submissions for Best Time to Buy and Sell Stock II.
 *
 * 我的思路,别人的代码。
 */
public int maxProfitPeakValleyApproach(int[] prices) {
    if (Objects.isNull(prices) || prices.length == 0) {
        return 0;
    }
    int i = 0;
    int valley = prices[0];
    int peak = prices[0];
    int result = 0;
    while (i < prices.length - 1) {
        while (i < prices.length - 1 && prices[i] > prices[i + 1]) {
            i++;
        }
        valley = prices[i];
        while (i < prices.length - 1 && prices[i] < prices[i++]) {
            i++;
        }
        peak = prices[i];
        result += peak - valley;
    }

    return result;
}
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/**
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-09-14 14:48:19
 */
public int maxProfit(int[] prices) {
  int result = 0;
  for (int i = 1; i < prices.length - 1; i++) {
    // 只要发现价差就进行交易
    if (prices[i - 1] < prices[i]) {
      result += (prices[i] - prices[i - 1]);
    }
  }
  return result;
}