2. (25 pts.) Create a MATLAB function named max_path (Mat) that get a m*n matrix as input argument. The given matrix represents a triangle of numbers. The purpose of the function is to find the path with maximum sum from top to bottom. At each step of your algorithm, you can move to the adjacent numbers (see (d)) in the row below.max_path (Mat) function must return a matrix called Path that show the path and an integer value called sum that represents the maximum path sum from top to bottom. For example, for the matrix given in (a) below, the path and sum must be found as in (b) and (c), respectively: 3ooo 1000 sum 8 500 1000 65 70 0100 adjacents 16 104 0 0 1 0 (b) (c) (d) 2. (25 pts.) Create a MATLAB function named max_path (Mat) that get a m*n matrix as input argument. The given matrix represents a triangle of numbers. The purpose of the function is to find the path with maximum sum from top to bottom. At each step of your algorithm, you can move to the adjacent numbers (see (d)) in the row below.max_path (Mat) function must return a matrix called Path that show the path and an integer value called sum that represents the maximum path sum from top to bottom. For example, for the matrix given in (a) below, the path and sum must be found as in (b) and (c), respectively: 3ooo 1000 sum 8 500 1000 65 70 0100 adjacents 16 104 0 0 1 0 (b) (c) (d)