3186. Maximum Total Damage With Spell Casting
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Topics
A magician has various spells.
You are given 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.
Return the maximum possible total damage that a magician can cast.
Example 1:
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.
Example 2:
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 <= 1051 <= power[i] <= 109
Hints
Hint 1
x, then we will use all spells with power x.Hint 2
Hint 3
dp[i][j] represents the maximum damage considering up to the i-th unique spell and j represents the number of spells skipped (up to 3 as per constraints).