{ "data": { "question": { "questionId": "3383", "questionFrontendId": "3147", "categoryTitle": "Algorithms", "boundTopicId": 2773142, "title": "Taking Maximum Energy From the Mystic Dungeon", "titleSlug": "taking-maximum-energy-from-the-mystic-dungeon", "content": "
In a mystic dungeon, n
magicians are standing in a line. Each magician has an attribute that gives you energy. Some magicians can give you negative energy, which means taking energy from you.
You have been cursed in such a way that after absorbing energy from magician i
, you will be instantly transported to magician (i + k)
. This process will be repeated until you reach the magician where (i + k)
does not exist.
In other words, you will choose a starting point and then teleport with k
jumps until you reach the end of the magicians' sequence, absorbing all the energy during the journey.
You are given an array energy
and an integer k
. Return the maximum possible energy you can gain.
\n
Example 1:
\n\nInput: energy = [5,2,-10,-5,1], k = 3
\n\nOutput: 3
\n\nExplanation: We can gain a total energy of 3 by starting from magician 1 absorbing 2 + 1 = 3.
\nExample 2:
\n\nInput: energy = [-2,-3,-1], k = 2
\n\nOutput: -1
\n\nExplanation: We can gain a total energy of -1 by starting from magician 2.
\n\n
Constraints:
\n\n1 <= energy.length <= 105
-1000 <= energy[i] <= 1000
1 <= k <= energy.length - 1
\n", "translatedTitle": "从魔法师身上吸取的最大能量", "translatedContent": "
在神秘的地牢中,n
个魔法师站成一排。每个魔法师都拥有一个属性,这个属性可以给你提供能量。有些魔法师可能会给你负能量,即从你身上吸取能量。
你被施加了一种诅咒,当你从魔法师 i
处吸收能量后,你将被立即传送到魔法师 (i + k)
处。这一过程将重复进行,直到你到达一个不存在 (i + k)
的魔法师为止。
换句话说,你将选择一个起点,然后以 k
为间隔跳跃,直到到达魔法师序列的末端,在过程中吸收所有的能量。
给定一个数组 energy
和一个整数k
,返回你能获得的 最大 能量。
\n\n
示例 1:
\n\n输入: energy = [5,2,-10,-5,1], k = 3
\n\n输出: 3
\n\n解释:可以从魔法师 1 开始,吸收能量 2 + 1 = 3。
\n示例 2:
\n\n输入: energy = [-2,-3,-1], k = 2
\n\n输出: -1
\n\n解释:可以从魔法师 2 开始,吸收能量 -1。
\n\n\n
提示:
\n\n1 <= energy.length <= 105
-1000 <= energy[i] <= 1000
1 <= k <= energy.length - 1
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dp[i]
denote the energy we gain starting from index i
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."
],
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