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Equation 26 · The EV Formula Is an Exact Production Function Trainers Solved by Accident

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⌊252/4⌋+⌊162/4⌋+⌊94/4⌋=63+40+23=126\lfloor 252/4 \rfloor + \lfloor 162/4 \rfloor + \lfloor 94/4 \rfloor = 63+40+23 = 126

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Inputs and operations63+40+23 = 126
Result or conditionlfloor 252/4 rfloor + lfloor 162/4 rfloor + lfloor 94/4 rfloor
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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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addition

addition

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What the article says around this equation

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 ⌊\lfloor 252/4 ⌋\rfloor + ⌊\lfloor 162/4 ⌋\rfloor + ⌊\lfloor 94/4 ⌋\rfloor = 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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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 ⌊\lfloor 252/4 ⌋\rfloor + ⌊\lfloor 162/4 ⌋\rfloor + ⌊\lfloor 94/4 ⌋\rfloor = 63+40+23 = 126 , one stat point short of the 127-point ceiling the same 508-point total achieves everywhere else this article checked. The two points inside its 162 Defense allocation and the two points inside its 94 Speed allocation are each, individually, one short of their own next four-point step; shifting either allocation by two — 164 Defense and 92 Speed, or 160 Defense and 96 Speed, both still summing to 508 — recovers the full 127 points for free, with no change to the total budget spent and no tradeoff against anything else the set is trying to do.

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