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Establishing the problem's priority will help decide what and how much resources should be used to solve it.
Researchers in the field of problem-solving have shown that there are three general approaches to investigating problem-solving.
The first method involves laboratory experiments with controlled variables.
However, it may take much more time with other problems to verify the effectiveness of the solution.
Problem-solving has long been an object of research in cognitive psychology.
Problem-solvers should monitor the progress of their efforts.
If the problem-solving process does not work efficiently, the problem-solver may need to redefine the problem itself or to draw up a different strategy.
At the final stage of the problem-solving cycle when a solution is reached, problem-solvers should assess what has been accomplished and decide whether they have come to the best possible solution to a given problem.
Sometimes the evaluation takes just a minute, for example when solving a mathematical problem one only needs to check whether the answer is correct.
Problem-solvers try various move sequences while attempting to reach a solution.
In the famous Tower of London task, problem-solvers have to figure out how to move a set of coloured same-sized disks piled over three pegs by moving only one disk at a time, aiming a specific target configuration.