Maximum Total Damage With Spell Casting - Solution & Explanation

This approach is inspired by the house robber problem where you cannot rob two consecutive houses for maximum profit.

Sort the array to ensure sequential consideration of spells and use a dynamic programming array to keep track of the maximum damage possible after considering each spell.

The state transition will involve checking if taking the current spell is beneficial over not taking it, given the constraint that certain nearby spells cannot be taken if the current one is taken.

The approach involves sorting the power array, then using a dynamic programming approach to decide whether to include the current spell damage or not. It relies on previous results and skips adjacent spells that violate constraints. The final result is stored in the 'current' variable.

The greedy approach first sorts the spells to manage constraints easily.

Loop over sorted array to select spells ensuring the constraint condition by skipping spells adjacent to any selected spell's damage value.

Directly keep a set of selected spells to avoid overlapping selections.

Sort the array of spell damages, then iterate through selecting any spell that doesn't violate constraints determined by the previously included spell damage. The loop accumulates allowable spells' damage directly into the result.