algorithm - Maximum Profit given n apples to sell -


Looking at an array of N and sell the value of n integer, such value [i] represents the value But I can be selling 1 apple. Combine maximum revenue which we can generate in any combination by selling N apple which we can choose.

Example: The given 8 apples and value arrays are as follows: - 

  {1,5,8,9,10,17,17,20} meaning 1 Apple = $ 1 = $ 4 Total sales price of $ 5, etc. The maximum revenue will be generated by selling 2 + 6 apples for a maximum of 5 + 17 = $ 22.  
 I have a simple recursive solution in my mind, but I wonder what is the complexity of the best time that we can achieve? Is there an opportunity to implement dynamic programming or memoison?  
 Thank you!  
  
 
 
 definitions  
 let  dp [k]  optimum   
 
  
  
  
  
 By the form,  DP [0] = 0    
  DP [K] = Max {DP [I] + Benefits [K -] > 
 Then we can define, the recurrence relationship is as follows:}, where 0 & lt; = I & lt; k   
 You can  DP [n] . Interested in computing.  
 Conclusion  
 You can apply it easily Down-up approach or memoanization and both methods are very fast.  
 The complexity of the time of this solution is  O (n ^ 2) , because calculating an entry in the  dp  array  O ( N)  time.

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