Survey and Performance of Dynamic Programming White paper

I want it to be in the middle language and simple for reader to understand because I’m international student – Survey and Performance of Dynamic Programming White paper Objective: The aim of this first homework is to: 1- be able to implement different problems use the Dynamic programming 2- be able to measure and compare the complexity between recursion and DP 3- start to be used to write papers Description: After implementing the set of problems given below using both DP and recursion you are requested to add in each a mean of calculating the number of operations made in each case. The complexity should be done 1) using the time: using a time function call before and after the your function (for this you should never use input/output function between the two calls as the result will be unreliable. 2) using the number of certain operations: you have to define them and fix them for all (for example counting the executions of the logic tests … 1- a paper should be written containing a maximum of 4 pages in IEEE format describing your research (abstract, introduction, pervious work, implementation, performance results and discussion, conclusion, references) 2- the problems should include at least 5 from the following: a. Fibonacci b. LCS (Longest Common Subsequence) c. Computing a binomial coefficient d. Constructing an optimal binary search tree e. Matrix-Chain Multiplication 3- results will be in both tables and curves 4- The tool should provide the ability to choose between the different problems and different techniques. The size of the problem should be a parameter that is provided by the user. Maximum 4 paper.

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