{ "data": { "question": { "questionId": "2330", "questionFrontendId": "2234", "categoryTitle": "Algorithms", "boundTopicId": 1404198, "title": "Maximum Total Beauty of the Gardens", "titleSlug": "maximum-total-beauty-of-the-gardens", "content": "
Alice is a caretaker of n
gardens and she wants to plant flowers to maximize the total beauty of all her gardens.
You are given a 0-indexed integer array flowers
of size n
, where flowers[i]
is the number of flowers already planted in the ith
garden. Flowers that are already planted cannot be removed. You are then given another integer newFlowers
, which is the maximum number of flowers that Alice can additionally plant. You are also given the integers target
, full
, and partial
.
A garden is considered complete if it has at least target
flowers. The total beauty of the gardens is then determined as the sum of the following:
full
.partial
. If there are no incomplete gardens, then this value will be 0
.Return the maximum total beauty that Alice can obtain after planting at most newFlowers
flowers.
\n
Example 1:
\n\n\nInput: flowers = [1,3,1,1], newFlowers = 7, target = 6, full = 12, partial = 1\nOutput: 14\nExplanation: Alice can plant\n- 2 flowers in the 0th garden\n- 3 flowers in the 1st garden\n- 1 flower in the 2nd garden\n- 1 flower in the 3rd garden\nThe gardens will then be [3,6,2,2]. She planted a total of 2 + 3 + 1 + 1 = 7 flowers.\nThere is 1 garden that is complete.\nThe minimum number of flowers in the incomplete gardens is 2.\nThus, the total beauty is 1 * 12 + 2 * 1 = 12 + 2 = 14.\nNo other way of planting flowers can obtain a total beauty higher than 14.\n\n\n
Example 2:
\n\n\nInput: flowers = [2,4,5,3], newFlowers = 10, target = 5, full = 2, partial = 6\nOutput: 30\nExplanation: Alice can plant\n- 3 flowers in the 0th garden\n- 0 flowers in the 1st garden\n- 0 flowers in the 2nd garden\n- 2 flowers in the 3rd garden\nThe gardens will then be [5,4,5,5]. She planted a total of 3 + 0 + 0 + 2 = 5 flowers.\nThere are 3 gardens that are complete.\nThe minimum number of flowers in the incomplete gardens is 4.\nThus, the total beauty is 3 * 2 + 4 * 6 = 6 + 24 = 30.\nNo other way of planting flowers can obtain a total beauty higher than 30.\nNote that Alice could make all the gardens complete but in this case, she would obtain a lower total beauty.\n\n\n
\n
Constraints:
\n\n1 <= flowers.length <= 105
1 <= flowers[i], target <= 105
1 <= newFlowers <= 1010
1 <= full, partial <= 105
Alice 是 n
个花园的园丁,她想通过种花,最大化她所有花园的总美丽值。
给你一个下标从 0 开始大小为 n
的整数数组 flowers
,其中 flowers[i]
是第 i
个花园里已经种的花的数目。已经种了的花 不能 移走。同时给你 newFlowers
,表示 Alice 额外可以种花的 最大数目 。同时给你的还有整数 target
,full
和 partial
。
如果一个花园有 至少 target
朵花,那么这个花园称为 完善的 ,花园的 总美丽值 为以下分数之 和 :
full
.partial
。如果没有不完善花园,那么这一部分的值为 0
。请你返回 Alice 种最多 newFlowers
朵花以后,能得到的 最大 总美丽值。
\n\n
示例 1:
\n\n输入:flowers = [1,3,1,1], newFlowers = 7, target = 6, full = 12, partial = 1\n输出:14\n解释:Alice 可以按以下方案种花\n- 在第 0 个花园种 2 朵花\n- 在第 1 个花园种 3 朵花\n- 在第 2 个花园种 1 朵花\n- 在第 3 个花园种 1 朵花\n花园里花的数目为 [3,6,2,2] 。总共种了 2 + 3 + 1 + 1 = 7 朵花。\n只有 1 个花园是完善的。\n不完善花园里花的最少数目是 2 。\n所以总美丽值为 1 * 12 + 2 * 1 = 12 + 2 = 14 。\n没有其他方案可以让花园总美丽值超过 14 。\n\n\n
示例 2:
\n\n输入:flowers = [2,4,5,3], newFlowers = 10, target = 5, full = 2, partial = 6\n输出:30\n解释:Alice 可以按以下方案种花\n- 在第 0 个花园种 3 朵花\n- 在第 1 个花园种 0 朵花\n- 在第 2 个花园种 0 朵花\n- 在第 3 个花园种 2 朵花\n花园里花的数目为 [5,4,5,5] 。总共种了 3 + 0 + 0 + 2 = 5 朵花。\n有 3 个花园是完善的。\n不完善花园里花的最少数目为 4 。\n所以总美丽值为 3 * 2 + 4 * 6 = 6 + 24 = 30 。\n没有其他方案可以让花园总美丽值超过 30 。\n注意,Alice可以让所有花园都变成完善的,但这样她的总美丽值反而更小。\n\n\n
\n\n
提示:
\n\n1 <= flowers.length <= 105
1 <= flowers[i], target <= 105
1 <= newFlowers <= 1010
1 <= full, partial <= 105
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