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About trainers.
Each skill has three levels of development: basic, advanced (expert), and fully advanced (master). The basic level allows you to use the skill; expert and master levels provide specific bonuses (you can view them by right-clicking on the skill). A trainer makes a character an expert or master, but not just like that – for a fee (although sometimes you can find altruists), and not just anyone, but only when certain requirements are met (but even here, there are altruists). The general rule: an expert in any category requires four points in that skill. To advance to master, you must first become an expert. A weapon master requires eight points in that skill to advance, armor requires ten, and magic (usually) requires twelve. "Other" skills require seven points. In addition, masters often have additional requirements.
For each skill in the game, there are two expert trainers and one master trainer (with the exception of blaster experts, of which there is only one). Keep in mind that ladders are not popular in the game, so the "second floor" most often means that you can only reach it using Jump or Flight spells.
And one more thing. If a master requires a certain value for a certain parameter, and the character you have doesn't meet the lower limit, don't be upset. You can increase the parameter using spells, potions, and artifacts – rings, belts, etc. However, it is better to plan in advance who will do what, taking into account the requirements of the profession. For example, the ideal candidate for an identification master is a mage with his high intelligence.
Here is the table itself in 775/3173 resolution, so I packed it into an archive.