The correct answer is: A. Plan the algorithm.
The first step in the problem-solving process is to plan the algorithm. This involves identifying the problem, determining the steps needed to solve it, and organizing those steps in a logical order. Once the algorithm is planned, it can be coded and tested.
Option B, analyze the problem, is the second step in the problem-solving process. This involves identifying the input and output of the problem, as well as any constraints that may apply.
Option C, desk-check the algorithm, is the third step in the problem-solving process. This involves manually walking through the algorithm to ensure that it is correct.
Option D, evaluate and modify (if necessary) the program, is the fourth step in the problem-solving process. This involves testing the program to ensure that it solves the problem correctly, and making any necessary modifications.
Option E, code the algorithm, is the fifth and final step in the problem-solving process. This involves translating the algorithm into a programming language.