Question: Algorithm Problem (Dynamic Programming): Please provide more detail for learning purposes. Given a 2-dimensional arrayA[1..m, 1..n], compute the number of ways (paths) of starting at

Algorithm Problem (Dynamic Programming): Please provide more detail for learning purposes.

Given a 2-dimensional arrayA[1..m, 1..n], compute the number of ways (paths) of starting at the top-left corner to the bottom-right corner. All moves must go either right or down.

pseudocode

Formulate the recursive relation of the optimal solution;

Design a bottom-up algorithm to calculate the number of paths;

Analyze the complexity of your algorithm.

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