Acertain string-processing language offers a primitive operation which splits astring into two pieces. since this operation involves copying the original string, ittakes n units of time for a string of length n, regardless of the location of the cut. suppose, now, that you want to break a string into many pieces. the order inwhich the breaks are made can affect the total running time. for example, if youwant to cut a 20-character string at positions 3 and 10, then making the first cutat position 3 incurs a total cost of 20 + 17 = 37, while doing position 10 first hasa better cost of 20 + 10 = 30.give a dynamic programming algorithm that, given the locations of m cuts in astring of length n, finds the minimum cost of breaking the string into m+ 1pieces.

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."