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Equation 2 · Part 5 · The EV Formula Is an Exact Production Function Trainers Solved by Accident

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HP=⌊(2B+I+⌊E/4⌋)⋅L100⌋+L+10\text{HP} = \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + L + 10
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What this part means

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

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

HP uses the same inner term but a different outer shell, adding the Pokémon’s level plus ten instead of multiplying by a nature: HP=⌊(2B+I+⌊E/4⌋)⋅L100⌋+L+10\text{HP} = \left\lfloor (2B+I+\lfloor E/4 \rfloor) \cdot \frac{L}{100} \right\rfloor + L + 10. At level 100 — the level Smogon’s singles tiers, including the OU tier this article draws its spreads from, are actually played at — the level term collapses to a clean multiplication by one, so every floor operation inside the level scaling vanishes and the formula reduces to simple integer arithmetic: raw score equals twice the base stat plus the IV plus the floor of EV over four, plus five, times the nature coefficient. That collapse is not incidental to this article; it is why the whole problem is exactly solvable rather than merely…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

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