For the majority of people, these deductions weren't possible to complete just based on mental calculations. However, if an Array Master goes around with a huge stack of paper filled with complex formulas, it would still be detrimental to the image of an Array Master.
Hence, they came out with a unique tool solely used for calculating all the different aspects - the Array Board.
With the help of an Array Board, Array Masters are able to complete all the deductions, covering the most important step.
Moreover, even with the assistance of an Array Board, an Array Master still needs at least an hour to fully link up all the information and complete the calculations of a simple array.
For an array of a higher tier or a more complex array, it was not unusual to spend a few days and nights.