You have a bag filled with jelly beans of three different colors: pink, green, and yellow and 3 cups that cannot be moved arranged in a line in front of you. The end result should be that all the jelly beans have been removed from the bag and placed into cups. Each cup should only contain 1 color. The jelly beans should be placed into the cups so that the pile that is the smallest is on the left, and the pile that is the largest is on the right. Jelly beans cannot be placed anywhere except in the bag or in a cup.

In a heat transfer course, we can derive the equation for the temperature distribution in a flat rectangular plate. in this example, we will look at a plate at steadystate with three sides being held at t1, and one side held at t2. the temperature for any location on the plate, t(x,y), can be calculated by where create a function (prob3_5) that will take inputs of vectors x and y in feet, scalar n, scalars l and w in feet and scalars t1 and t2 in degrees fahrenheit. it will output a matrix t which is the temperature of each x and y locations. t will have the number of columns equal to the number of elements in x and rows equal to the number of elements in y. though this can be done without loops (perhaps more efficiently), your program must use a nested loop.