{ "data": { "question": { "questionId": "3531", "questionFrontendId": "3273", "categoryTitle": "Algorithms", "boundTopicId": 2897630, "title": "Minimum Amount of Damage Dealt to Bob", "titleSlug": "minimum-amount-of-damage-dealt-to-bob", "content": "
You are given an integer power
and two integer arrays damage
and health
, both having length n
.
Bob has n
enemies, where enemy i
will deal Bob damage[i]
points of damage per second while they are alive (i.e. health[i] > 0
).
Every second, after the enemies deal damage to Bob, he chooses one of the enemies that is still alive and deals power
points of damage to them.
Determine the minimum total amount of damage points that will be dealt to Bob before all n
enemies are dead.
\n
Example 1:
\n\nInput: power = 4, damage = [1,2,3,4], health = [4,5,6,8]
\n\nOutput: 39
\n\nExplanation:
\n\n10 + 10 = 20
points.6 + 6 = 12
points.3
points.2 + 2 = 4
points.Example 2:
\n\nInput: power = 1, damage = [1,1,1,1], health = [1,2,3,4]
\n\nOutput: 20
\n\nExplanation:
\n\n4
points.3 + 3 = 6
points.2 + 2 + 2 = 6
points.1 + 1 + 1 + 1 = 4
points.Example 3:
\n\nInput: power = 8, damage = [40], health = [59]
\n\nOutput: 320
\n\n
Constraints:
\n\n1 <= power <= 104
1 <= n == damage.length == health.length <= 105
1 <= damage[i], health[i] <= 104
给你一个整数 power
和两个整数数组 damage
和 health
,两个数组的长度都为 n
。
Bob 有 n
个敌人,如果第 i
个敌人还活着(也就是健康值 health[i] > 0
的时候),每秒钟会对 Bob 造成 damage[i]
点 伤害。
每一秒中,在敌人对 Bob 造成伤害 之后 ,Bob 会选择 一个 还活着的敌人进行攻击,该敌人的健康值减少 power
。
请你返回 Bob 将 所有 n
个敌人都消灭之前,最少 会收到多少伤害。
\n\n
示例 1:
\n\n输入:power = 4, damage = [1,2,3,4], health = [4,5,6,8]
\n\n输出:39
\n\n解释:
\n\n10 + 10 = 20
点。6 + 6 = 12
点。3
点。2 + 2 = 4
点。示例 2:
\n\n输入:power = 1, damage = [1,1,1,1], health = [1,2,3,4]
\n\n输出:20
\n\n解释:
\n\n4
点。3 + 3 = 6
点。2 + 2 + 2 = 6
点。1 + 1 + 1 + 1 = 4
点。示例 3:
\n\n输入:power = 8, damage = [40], health = [59]
\n\n输出:320
\n\n\n
提示:
\n\n1 <= power <= 104
1 <= n == damage.length == health.length <= 105
1 <= damage[i], health[i] <= 104
i
and j
with damages damage[i]
and damage[j]
, and time to take each of them down ti
and tj
, when is it better to choose enemy i
over enemy j
first?"
],
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