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(510−2)/4=127
Why this formula appears here
The staircase structure has a direct consequence for how much of the 510-point budget can ever do anything at all. The number of stat points any single invested value E buys is ⌊ E/4 ⌋ , which equals (E - (E mod 4))/4 . Summed across however many stats receive investment, total stat points bought equals (510 - R)/4 , where R is the sum of each individual stat’s remainder modulo four. Since 510 itself leaves a remainder of 2 when divided by 4, R must also be congruent to 2 modulo 4 for every point of the 510-point budget to be accounted for — and the smallest non-negative value satisfying that congruence is R = 2 . Plug that floor into the equation: the maximum number of stat…
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Equation 10 · Game-Mechanic Economics
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The staircase structure has a direct consequence for how much of the 510-point budget can ever do anything at all. The number of stat points any single invested value E buys is ⌊ E/4 ⌋ , which equals (E - (E mod 4))/4 . Summed across however many stats receive investment, total stat points bought equals (510 - R)/4 , where R is the sum of each individual stat’s remainder modulo four. Since 510 itself leaves a remainder of 2 when divided by 4, R must also be congruent to 2 modulo 4 for every point of the 510-point budget to be accounted for — and the smallest non-negative value satisfying that congruence is R = 2 . Plug that floor into the equation: the maximum number of stat…
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