mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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188 lines
20 KiB
JSON
188 lines
20 KiB
JSON
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"questionId": "2330",
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"title": "Maximum Total Beauty of the Gardens",
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"titleSlug": "maximum-total-beauty-of-the-gardens",
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"content": "<p>Alice is a caretaker of <code>n</code> gardens and she wants to plant flowers to maximize the total beauty of all her gardens.</p>\n\n<p>You are given a <strong>0-indexed</strong> integer array <code>flowers</code> of size <code>n</code>, where <code>flowers[i]</code> is the number of flowers already planted in the <code>i<sup>th</sup></code> garden. Flowers that are already planted <strong>cannot</strong> be removed. You are then given another integer <code>newFlowers</code>, which is the <strong>maximum</strong> number of flowers that Alice can additionally plant. You are also given the integers <code>target</code>, <code>full</code>, and <code>partial</code>.</p>\n\n<p>A garden is considered <strong>complete</strong> if it has <strong>at least</strong> <code>target</code> flowers. The <strong>total beauty</strong> of the gardens is then determined as the <strong>sum</strong> of the following:</p>\n\n<ul>\n\t<li>The number of <strong>complete</strong> gardens multiplied by <code>full</code>.</li>\n\t<li>The <strong>minimum</strong> number of flowers in any of the <strong>incomplete</strong> gardens multiplied by <code>partial</code>. If there are no incomplete gardens, then this value will be <code>0</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> total beauty that Alice can obtain after planting at most </em><code>newFlowers</code><em> flowers.</em></p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> flowers = [1,3,1,1], newFlowers = 7, target = 6, full = 12, partial = 1\n<strong>Output:</strong> 14\n<strong>Explanation:</strong> Alice can plant\n- 2 flowers in the 0<sup>th</sup> garden\n- 3 flowers in the 1<sup>st</sup> garden\n- 1 flower in the 2<sup>nd</sup> garden\n- 1 flower in the 3<sup>rd</sup> 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</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> flowers = [2,4,5,3], newFlowers = 10, target = 5, full = 2, partial = 6\n<strong>Output:</strong> 30\n<strong>Explanation:</strong> Alice can plant\n- 3 flowers in the 0<sup>th</sup> garden\n- 0 flowers in the 1<sup>st</sup> garden\n- 0 flowers in the 2<sup>nd</sup> garden\n- 2 flowers in the 3<sup>rd</sup> 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</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= flowers.length <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= flowers[i], target <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= newFlowers <= 10<sup>10</sup></code></li>\n\t<li><code>1 <= full, partial <= 10<sup>5</sup></code></li>\n</ul>\n",
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"categoryTitle": "Algorithms",
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"code": "class Solution {\npublic:\n long long maximumBeauty(vector<int>& flowers, long long newFlowers, int target, int full, int partial) {\n \n }\n};",
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"code": "class Solution {\n public long maximumBeauty(int[] flowers, long newFlowers, int target, int full, int partial) {\n \n }\n}",
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"code": "class Solution(object):\n def maximumBeauty(self, flowers, newFlowers, target, full, partial):\n \"\"\"\n :type flowers: List[int]\n :type newFlowers: int\n :type target: int\n :type full: int\n :type partial: int\n :rtype: int\n \"\"\"\n ",
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"code": "public class Solution {\n public long MaximumBeauty(int[] flowers, long newFlowers, int target, int full, int partial) {\n \n }\n}",
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"code": "/**\n * @param {number[]} flowers\n * @param {number} newFlowers\n * @param {number} target\n * @param {number} full\n * @param {number} partial\n * @return {number}\n */\nvar maximumBeauty = function(flowers, newFlowers, target, full, partial) {\n \n};",
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"code": "# @param {Integer[]} flowers\n# @param {Integer} new_flowers\n# @param {Integer} target\n# @param {Integer} full\n# @param {Integer} partial\n# @return {Integer}\ndef maximum_beauty(flowers, new_flowers, target, full, partial)\n \nend",
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"code": "class Solution {\n func maximumBeauty(_ flowers: [Int], _ newFlowers: Int, _ target: Int, _ full: Int, _ partial: Int) -> Int {\n \n }\n}",
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"code": "func maximumBeauty(flowers []int, newFlowers int64, target int, full int, partial int) int64 {\n \n}",
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"code": "object Solution {\n def maximumBeauty(flowers: Array[Int], newFlowers: Long, target: Int, full: Int, partial: Int): Long = {\n \n }\n}",
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"code": "class Solution {\n fun maximumBeauty(flowers: IntArray, newFlowers: Long, target: Int, full: Int, partial: Int): Long {\n \n }\n}",
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"code": "impl Solution {\n pub fn maximum_beauty(flowers: Vec<i32>, new_flowers: i64, target: i32, full: i32, partial: i32) -> i64 {\n \n }\n}",
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"code": "class Solution {\n\n /**\n * @param Integer[] $flowers\n * @param Integer $newFlowers\n * @param Integer $target\n * @param Integer $full\n * @param Integer $partial\n * @return Integer\n */\n function maximumBeauty($flowers, $newFlowers, $target, $full, $partial) {\n \n }\n}",
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"code": "function maximumBeauty(flowers: number[], newFlowers: number, target: number, full: number, partial: number): number {\n\n};",
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"code": "-spec maximum_beauty(Flowers :: [integer()], NewFlowers :: integer(), Target :: integer(), Full :: integer(), Partial :: integer()) -> integer().\nmaximum_beauty(Flowers, NewFlowers, Target, Full, Partial) ->\n .",
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"code": "defmodule Solution do\n @spec maximum_beauty(flowers :: [integer], new_flowers :: integer, target :: integer, full :: integer, partial :: integer) :: integer\n def maximum_beauty(flowers, new_flowers, target, full, partial) do\n\n end\nend",
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"Say we choose k gardens to be complete, is there an optimal way of choosing which gardens to plant more flowers to achieve this?",
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"For a given k, we should greedily fill-up the k gardens with the most flowers planted already. This gives us the most remaining flowers to fill up the other gardens.",
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"After sorting flowers, we can thus try every possible k and what is left is to find the highest minimum flowers we can obtain by planting the remaining flowers in the other gardens.",
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"To find the highest minimum in the other gardens, we can use binary search to find the most optimal way of planting."
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