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First, if an effect that’s causing damage to be dealt states that excess damage that would be dealt to a permanent is dealt to another permanent or player instead, the damage event is modified accordingly. If the first permanent is a creature, the excess damage is the amount of damage in excess of what would be lethal damage, taking into account damage already marked on the creature and damage from other sources that would be dealt at the same time. (See rule 120.6.) Any amount of damage greater than 1 is excess damage if the source dealing that damage to a creature has deathtouch. (See rule 702.2.) If the first permanent is a planeswalker, the excess damage is the amount of damage in excess of that planeswalker’s loyalty, taking into account damage from other sources that would be dealt at the same time. If the first permanent is a battle, the excess damage is the amount of damage in excess of that battle’s defense, taking into account damage from other sources that would be dealt at the same time. If the first permanent has multiple card types from among the list of creature, planeswalker, and battle, the excess damage is the greatest of the calculated amounts for each of the card types it has.

Damage marked on a creature remains until the cleanup step, even if that permanent stops being a creature. If the total damage marked on a creature is greater than or equal to its toughness, that creature has been dealt lethal damage and is destroyed as a state-based action (see rule 704). All damage marked on a permanent is removed when it regenerates (see rule 701.19, “Regenerate”) and during the cleanup step (see rule 514.2).