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⌊252/4⌋+⌊162/4⌋+⌊94/4⌋=63+40+23=126
Why this formula appears here
The theorem that 510 points can buy at most 127 stat points is only interesting if it is possible to fail it, and the pkmn/smogon archive of Smogon’s own historical movesets [ 8 ] turns up exactly one Garchomp spread, out of every generation and every competitive tier checked, that does. A Generation 5 Monotype set titled “Defensive Entry Hazard Support (Dragon)” runs 252 HP, 162 Defense, and 94 Speed — 508 total points invested, the same total as both of the currently maintained Generation 9 sets above. But ⌊ 252/4 ⌋ + ⌊ 162/4 ⌋ + ⌊ 94/4 ⌋ = 63+40+23 = 126 , one stat point short of the 127-point ceiling the same 508-point total achieves everywhere else…
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Equation 26 · Game-Mechanic Economics
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The theorem that 510 points can buy at most 127 stat points is only interesting if it is possible to fail it, and the pkmn/smogon archive of Smogon’s own historical movesets [ 8 ] turns up exactly one Garchomp spread, out of every generation and every competitive tier checked, that does. A Generation 5 Monotype set titled “Defensive Entry Hazard Support (Dragon)” runs 252 HP, 162 Defense, and 94 Speed — 508 total points invested, the same total as both of the currently maintained Generation 9 sets above. But ⌊ 252/4 ⌋ + ⌊ 162/4 ⌋ + ⌊ 94/4 ⌋ = 63+40+23 = 126 , one stat point short of the 127-point ceiling the same 508-point total achieves everywhere else…
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