Best Time to Buy and Sell Stock 系列总结
强烈推荐: Most consistent ways of dealing with the series of stock problems, 耐心仔细的全部看完, 收获不小.
Best Time to Buy and Sell Stock 系列有如下题目, 均可用动态规划进行求解, 有通用的递推公式:
- 121. Best Time to Buy and Sell Stock*
- 122. Best Time to Buy and Sell Stock II*
- 123. Best Time to Buy and Sell Stock III***
- 188. Best Time to Buy and Sell Stock IV***
- 309. Best Time to Buy and Sell Stock with Cooldown**
- 714. Best Time to Buy and Sell Stock with Transaction Fee**
通用的递推公式为:
Base cases:
T[-1][k][0] = 0, T[-1][k][1] = -Infinity
T[i][0][0] = 0, T[i][0][1] = -Infinity
Recurrence relations:
T[i][k][0] = max(T[i-1][k][0], T[i-1][k][1] + prices[i]) # sell
T[i][k][1] = max(T[i-1][k][1], T[i-1][k-1][0] - prices[i]) # buy
看 Most consistent ways of dealing with the series of stock problems 或者 123. Best Time to Buy and Sell Stock III*** 获取关于 T[i][k][*] 的进一步解释.
