{ "data": { "question": { "questionId": "2257", "questionFrontendId": "2136", "categoryTitle": "Algorithms", "boundTopicId": 1196324, "title": "Earliest Possible Day of Full Bloom", "titleSlug": "earliest-possible-day-of-full-bloom", "content": "
You have n
flower seeds. Every seed must be planted first before it can begin to grow, then bloom. Planting a seed takes time and so does the growth of a seed. You are given two 0-indexed integer arrays plantTime
and growTime
, of length n
each:
plantTime[i]
is the number of full days it takes you to plant the ith
seed. Every day, you can work on planting exactly one seed. You do not have to work on planting the same seed on consecutive days, but the planting of a seed is not complete until you have worked plantTime[i]
days on planting it in total.growTime[i]
is the number of full days it takes the ith
seed to grow after being completely planted. After the last day of its growth, the flower blooms and stays bloomed forever.From the beginning of day 0
, you can plant the seeds in any order.
Return the earliest possible day where all seeds are blooming.
\n\n\n
Example 1:
\n\n\nInput: plantTime = [1,4,3], growTime = [2,3,1]\nOutput: 9\nExplanation: The grayed out pots represent planting days, colored pots represent growing days, and the flower represents the day it blooms.\nOne optimal way is:\nOn day 0, plant the 0th seed. The seed grows for 2 full days and blooms on day 3.\nOn days 1, 2, 3, and 4, plant the 1st seed. The seed grows for 3 full days and blooms on day 8.\nOn days 5, 6, and 7, plant the 2nd seed. The seed grows for 1 full day and blooms on day 9.\nThus, on day 9, all the seeds are blooming.\n\n\n
Example 2:
\n\n\nInput: plantTime = [1,2,3,2], growTime = [2,1,2,1]\nOutput: 9\nExplanation: The grayed out pots represent planting days, colored pots represent growing days, and the flower represents the day it blooms.\nOne optimal way is:\nOn day 1, plant the 0th seed. The seed grows for 2 full days and blooms on day 4.\nOn days 0 and 3, plant the 1st seed. The seed grows for 1 full day and blooms on day 5.\nOn days 2, 4, and 5, plant the 2nd seed. The seed grows for 2 full days and blooms on day 8.\nOn days 6 and 7, plant the 3rd seed. The seed grows for 1 full day and blooms on day 9.\nThus, on day 9, all the seeds are blooming.\n\n\n
Example 3:
\n\n\nInput: plantTime = [1], growTime = [1]\nOutput: 2\nExplanation: On day 0, plant the 0th seed. The seed grows for 1 full day and blooms on day 2.\nThus, on day 2, all the seeds are blooming.\n\n\n
\n
Constraints:
\n\nn == plantTime.length == growTime.length
1 <= n <= 105
1 <= plantTime[i], growTime[i] <= 104
你有 n
枚花的种子。每枚种子必须先种下,才能开始生长、开花。播种需要时间,种子的生长也是如此。给你两个下标从 0 开始的整数数组 plantTime
和 growTime
,每个数组的长度都是 n
:
plantTime[i]
是 播种 第 i
枚种子所需的 完整天数 。每天,你只能为播种某一枚种子而劳作。无须 连续几天都在种同一枚种子,但是种子播种必须在你工作的天数达到 plantTime[i]
之后才算完成。growTime[i]
是第 i
枚种子完全种下后生长所需的 完整天数 。在它生长的最后一天 之后 ,将会开花并且永远 绽放 。从第 0
开始,你可以按 任意 顺序播种种子。
返回所有种子都开花的 最早 一天是第几天。
\n\n\n\n
示例 1:
\n\n输入:plantTime = [1,4,3], growTime = [2,3,1]\n输出:9\n解释:灰色的花盆表示播种的日子,彩色的花盆表示生长的日子,花朵表示开花的日子。\n一种最优方案是:\n第 0 天,播种第 0 枚种子,种子生长 2 整天。并在第 3 天开花。\n第 1、2、3、4 天,播种第 1 枚种子。种子生长 3 整天,并在第 8 天开花。\n第 5、6、7 天,播种第 2 枚种子。种子生长 1 整天,并在第 9 天开花。\n因此,在第 9 天,所有种子都开花。 \n\n\n
示例 2:
\n\n输入:plantTime = [1,2,3,2], growTime = [2,1,2,1]\n输出:9\n解释:灰色的花盆表示播种的日子,彩色的花盆表示生长的日子,花朵表示开花的日子。 \n一种最优方案是:\n第 1 天,播种第 0 枚种子,种子生长 2 整天。并在第 4 天开花。\n第 0、3 天,播种第 1 枚种子。种子生长 1 整天,并在第 5 天开花。\n第 2、4、5 天,播种第 2 枚种子。种子生长 2 整天,并在第 8 天开花。\n第 6、7 天,播种第 3 枚种子。种子生长 1 整天,并在第 9 天开花。\n因此,在第 9 天,所有种子都开花。 \n\n\n
示例 3:
\n\n输入:plantTime = [1], growTime = [1]\n输出:2\n解释:第 0 天,播种第 0 枚种子。种子需要生长 1 整天,然后在第 2 天开花。\n因此,在第 2 天,所有种子都开花。\n\n\n
\n\n
提示:
\n\nn == plantTime.length == growTime.length
1 <= n <= 105
1 <= plantTime[i], growTime[i] <= 104
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