Maximum Total Damage With Spell Casting
A magician has various spells.
You receive an array power , where each element represents the damage of a spell. Multiple spells can have the same damage value.
It is a known fact that if a magician decides to cast a spell with a damage of power[i] , they cannot cast any spell with a damage of power[i] - 2 , power[i] - 1 , power[i] + 1 , or power[i] + 2 .
Each spell can be cast only once .
Produce the maximum possible total damage that a magician can cast.
Input: power = [1,1,3,4]
Output: 6
Explanation: The maximum possible damage of 6 is produced by casting spells 0, 1, 3 with damage 1, 1, 4.
Input: power = [7,1,6,6]
Output: 13
Explanation: The maximum possible damage of 13 is produced by casting spells 1, 2, 3 with damage 1, 6, 6.
Constraints
1 <= power.length <= 10^51 <= power[i] <= 10^9
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