Help needed in a DP problem.

Revision en1, by AdHocMan, 2020-10-19 14:42:44

As I am very new to dynamic programming I am facing many problems in understanding the states of the DP. Here is a problem which I have tried to solve by iterative method but failed. Can anyone please help me with this problem by giving me a bit description on how to understand the states of this type of problems?

Problem Statement: Find a sub-sequence $(a_{b1}, a_{b2}, a_{b3},\dots)$ of array $a$ of size $n(n < 1001)$ to maximize the following expression: $1*a_{b1} + 2*a_{b2} + 3*a_{b3} + \dots$. Print the maximum value of the expression.

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en1 AdHocMan 2020-10-19 14:42:44 580 Initial revision (published)