Make a two-dimensional random walker. Please read this informative explanation of randow walk.

Instructions:

• Take the total number of steps (N) from the user.

• Generate a random number (R) between 1 and 4.

  • If R is 1, walker takes one step to east ( -x ).

  • If R is 2, walker takes one step to south ( -y ).

  • If R is 3, walker takes one step to west ( +x ).

  • If R is 4, walker takes one step to north ( +y ).

• Each step size should be 1.

• At the end of your program print out the root mean square distance from the starting point.

• When your code run many times, you will observe that the distance traveled roughly grows like N. To prove this, add an extra code to run the walker code for growing number of N's.

Note:

• You have to use random library but only to generate integers from 1 to 4.

• In Python