Question: Java recurisve help needed! Consider a network of streets laid out in a rectangular grid, there is no negative value, the smallest point is (0,0).

Java recurisve help needed!

Consider a network of streets laid out in a rectangular grid, there is no negative value, the smallest point is (0,0). For Example:

Java recurisve help needed! Consider a network of streets laid out in

In a northeast path from one point in the grid to another, one my walk ONLY to the north (top) and to the east (right). For example, there are four northeast paths from A to B in the preceding grid:

a rectangular grid, there is no negative value, the smallest point is

Write a program that uses one or two recursive functions to

-> Count the number of northeast paths from one point to another (user could input the values) in a rectangular grid.

-> Print out all the paths like:

For example, there are 4 paths from (0, 1) to (3, 2)

(0, 1) (0, 2) (1, 2) (2, 2) (3, 2)

(0, 1) (1, 1) (1, 2) (2, 2) (3, 2)

(0, 1) (1, 1) (2, 1) (2, 2) (3, 2)

(0, 1) (1, 1) (2, 1) (3, 1) (3, 2)

There are two parts needed.

-> The total number of paths, you should use a recursive method to calculate that.

-> To print each individual path, you should have another recursive method design to do this part, and one approach is to have an argument as string to record every step and finally to print it.

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