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So both arrow and boulder traps have two types of damage. If there is a magical element to it (like a fire boulder), the trap damage is calculated twice: once as a boulder and once as a magical trap. The physical title halves the physical damage, while the magical title halves the magical damage.

I get that the physical title reduces by 1/2 but shouldn't it be that the stronger physical title reduces it even further like to 1/4 damage?