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Defining the problem.
Yes because simpler alternatives are usually easier
these are the 7 steps to problem solving! and yes it is the first step.... 1. Define and Identify the Problem 2. Analyze the Problem 3. Identifying Possible Solutions 4. Selecting the Best Solutions 5. Evaluating Solutions 6. Develop an Action Plan 7. Implement the Solution
By finding a pattern the first time you solve a problem, then applying this pattern (algorithm) to solve similar problems.
The difference is that first you have to understand the problem and translate it into an equation (or equations).