{leetcode}/problems/maximum-total-damage-with-spell-casting/[LeetCode - 3186. Maximum Total Damage With Spell Casting ^]
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:
<div class="example-block"> Input: <span class="example-io">power = [1,1,3,4]
Output: <span class="example-io">6
Explanation:
The maximum possible damage of 6 is produced by casting spells 0, 1, 3 with damage 1, 1, 4.
Example 2:
<div class="example-block"> Input: <span class="example-io">power = [7,1,6,6]
Output: <span class="example-io">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 ⇐ 105 -
1 ⇐ power[i] ⇐ 109