{ "data": { "question": { "questionId": "2180", "questionFrontendId": "2071", "categoryTitle": "Algorithms", "boundTopicId": 1097325, "title": "Maximum Number of Tasks You Can Assign", "titleSlug": "maximum-number-of-tasks-you-can-assign", "content": "
You have n
tasks and m
workers. Each task has a strength requirement stored in a 0-indexed integer array tasks
, with the ith
task requiring tasks[i]
strength to complete. The strength of each worker is stored in a 0-indexed integer array workers
, with the jth
worker having workers[j]
strength. Each worker can only be assigned to a single task and must have a strength greater than or equal to the task's strength requirement (i.e., workers[j] >= tasks[i]
).
Additionally, you have pills
magical pills that will increase a worker's strength by strength
. You can decide which workers receive the magical pills, however, you may only give each worker at most one magical pill.
Given the 0-indexed integer arrays tasks
and workers
and the integers pills
and strength
, return the maximum number of tasks that can be completed.
\n
Example 1:
\n\n\nInput: tasks = [3,2,1], workers = [0,3,3], pills = 1, strength = 1\nOutput: 3\nExplanation:\nWe can assign the magical pill and tasks as follows:\n- Give the magical pill to worker 0.\n- Assign worker 0 to task 2 (0 + 1 >= 1)\n- Assign worker 1 to task 1 (3 >= 2)\n- Assign worker 2 to task 0 (3 >= 3)\n\n\n
Example 2:
\n\n\nInput: tasks = [5,4], workers = [0,0,0], pills = 1, strength = 5\nOutput: 1\nExplanation:\nWe can assign the magical pill and tasks as follows:\n- Give the magical pill to worker 0.\n- Assign worker 0 to task 0 (0 + 5 >= 5)\n\n\n
Example 3:
\n\n\nInput: tasks = [10,15,30], workers = [0,10,10,10,10], pills = 3, strength = 10\nOutput: 2\nExplanation:\nWe can assign the magical pills and tasks as follows:\n- Give the magical pill to worker 0 and worker 1.\n- Assign worker 0 to task 0 (0 + 10 >= 10)\n- Assign worker 1 to task 1 (10 + 10 >= 15)\nThe last pill is not given because it will not make any worker strong enough for the last task.\n\n\n
\n
Constraints:
\n\nn == tasks.length
m == workers.length
1 <= n, m <= 5 * 104
0 <= pills <= m
0 <= tasks[i], workers[j], strength <= 109
给你 n
个任务和 m
个工人。每个任务需要一定的力量值才能完成,需要的力量值保存在下标从 0 开始的整数数组 tasks
中,第 i
个任务需要 tasks[i]
的力量才能完成。每个工人的力量值保存在下标从 0 开始的整数数组 workers
中,第 j
个工人的力量值为 workers[j]
。每个工人只能完成 一个 任务,且力量值需要 大于等于 该任务的力量要求值(即 workers[j] >= tasks[i]
)。
除此以外,你还有 pills
个神奇药丸,可以给 一个工人的力量值 增加 strength
。你可以决定给哪些工人使用药丸,但每个工人 最多 只能使用 一片 药丸。
给你下标从 0 开始的整数数组tasks
和 workers
以及两个整数 pills
和 strength
,请你返回 最多 有多少个任务可以被完成。
\n\n
示例 1:
\n\n输入:tasks = [3,2,1], workers = [0,3,3], pills = 1, strength = 1\n输出:3\n解释:\n我们可以按照如下方案安排药丸:\n- 给 0 号工人药丸。\n- 0 号工人完成任务 2(0 + 1 >= 1)\n- 1 号工人完成任务 1(3 >= 2)\n- 2 号工人完成任务 0(3 >= 3)\n\n\n
示例 2:
\n\n输入:tasks = [5,4], workers = [0,0,0], pills = 1, strength = 5\n输出:1\n解释:\n我们可以按照如下方案安排药丸:\n- 给 0 号工人药丸。\n- 0 号工人完成任务 0(0 + 5 >= 5)\n\n\n
示例 3:
\n\n输入:tasks = [10,15,30], workers = [0,10,10,10,10], pills = 3, strength = 10\n输出:2\n解释:\n我们可以按照如下方案安排药丸:\n- 给 0 号和 1 号工人药丸。\n- 0 号工人完成任务 0(0 + 10 >= 10)\n- 1 号工人完成任务 1(10 + 10 >= 15)\n\n\n
示例 4:
\n\n输入:tasks = [5,9,8,5,9], workers = [1,6,4,2,6], pills = 1, strength = 5\n输出:3\n解释:\n我们可以按照如下方案安排药丸:\n- 给 2 号工人药丸。\n- 1 号工人完成任务 0(6 >= 5)\n- 2 号工人完成任务 2(4 + 5 >= 8)\n- 4 号工人完成任务 3(6 >= 5)\n\n\n
\n\n
提示:
\n\nn == tasks.length
m == workers.length
1 <= n, m <= 5 * 104
0 <= pills <= m
0 <= tasks[i], workers[j], strength <= 109
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