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update the problem description
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haoel committed Apr 3, 2019
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// Author : Hao Chen
// Date : 2014-06-18

/**********************************************************************************
*
* 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 (ie, buy one and sell one share of the stock multiple times). However,
* you may not engage in multiple transactions at the same time (ie, you must sell the
* stock before you buy again).
*
**********************************************************************************/
/*****************************************************************************************************
*
* 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.
******************************************************************************************************/

class Solution {
public:
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// Author : Hao Chen
// Date : 2014-08-22

/**********************************************************************************
*
* 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 at most two transactions.
*
* Note:
* You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).
*
**********************************************************************************/
/*****************************************************************************************************
*
* 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 at most two transactions.
*
* 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: [3,3,5,0,0,3,1,4]
* Output: 6
* Explanation: Buy on day 4 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3.
* Then buy on day 7 (price = 1) and sell on day 8 (price = 4), profit = 4-1 = 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.
******************************************************************************************************/


class Solution {
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// Author : Hao Chen
// Date : 2015-03-31

/**********************************************************************************
*
* 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 at most k transactions.
*
* Note:
* You may not engage in multiple transactions at the same time (ie, you must sell the stock before you buy again).
*
* Credits:Special thanks to @Freezen for adding this problem and creating all test cases.
*
**********************************************************************************/
/*****************************************************************************************************
*
* 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 at most k transactions.
*
* Note:
* You may not engage in multiple transactions at the same time (ie, you must sell the stock before
* you buy again).
*
* Example 1:
*
* Input: [2,4,1], k = 2
* Output: 2
* Explanation: Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2.
*
* Example 2:
*
* Input: [3,2,6,5,0,3], k = 2
* 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.
******************************************************************************************************/

class Solution {
public:
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// Author : Hao Chen
// Date : 2014-06-18

/**********************************************************************************
*
* Say you have an array for which the ith element is the price of a given stock on day i.
*
* If you were only permitted to complete at most one transaction (ie, buy one and sell one share of the stock),
* design an algorithm to find the maximum profit.
*
**********************************************************************************/
/*****************************************************************************************************
*
* Say you have an array for which the ith element is the price of a given stock on day i.
*
* If you were only permitted to complete at most one transaction (i.e., buy one and sell one share of
* the stock), design an algorithm to find the maximum profit.
*
* Note that you cannot sell a stock before you buy one.
*
* Example 1:
*
* Input: [7,1,5,3,6,4]
* Output: 5
* Explanation: Buy on day 2 (price = 1) and sell on day 5 (price = 6), profit = 6-1 = 5.
* Not 7-1 = 6, as selling price needs to be larger than buying price.
*
* Example 2:
*
* Input: [7,6,4,3,1]
* Output: 0
* Explanation: In this case, no transaction is done, i.e. max profit = 0.
*
******************************************************************************************************/

class Solution {
public:
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