Rescaled combat stats

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Several combat stats in ToME are rescaled to produce dimishing returns. The rescaling system uses 5 tiers, with increasing costs. A raw input value is converted to a final (effective) value according to the following system:

Tier Final Values Cost per point
Tier 1 0 to 20 1
Tier 2 21 to 40 2
Tier 3 41 to 60 3
Tier 4 61 to 80 4
Tier 5 81+ 5

Examples:

Raw Input Final Value Tier
17 17 1
50 35 2
71 43.66 3

Accuracy, Defense, Physical power, Spellpower, Mindpower, Physical Save, Spell Save and Mental Save are all rescaled this way.