Define Dynamic Programming

 Dynamic  programming  is  a  method  for  solving  problems  with  overlapping  problems.  Typically, these sub problems arise from a recurrence relating a solution to a given problem with solutions to its smaller sub problems of the similar type.  Rather than solving   overlapping   subproblems  again  and  again,  dynamic programming suggests solving every of the smaller sub problems only once and recording the results in a table from which we can then get a solution to the original problem.