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With the move punishment the formula for damage is 60+20x x (x being # of stat boosts). If you lower the other Pokemon stats would it lower damage?

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No.

For instance, if the target had 1 Swords Dance boost and 2 Calm Mind boosts, then this would be +2 Attack, +2 Special Attack, and +2 Special Defense, so Punishment's power on it would be 60 + (20 * 6) = 180. This move's maximum power is 200. Also, stat drops do not affect the Base Power.

http://www.smogon.com/bw/moves/punishment

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