leetcode-problemset/leetcode/originData/find-the-maximum-number-of-fruits-collected.json

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            "questionId": "3648",
            "questionFrontendId": "3363",
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            "title": "Find the Maximum Number of Fruits Collected",
            "titleSlug": "find-the-maximum-number-of-fruits-collected",
            "content": "<p>There is a game dungeon comprised of&nbsp;<code>n x n</code> rooms arranged in a grid.</p>\n\n<p>You are given a 2D array <code>fruits</code> of size <code>n x n</code>, where <code>fruits[i][j]</code> represents the number of fruits in the room <code>(i, j)</code>. Three children will play in the game dungeon, with <strong>initial</strong> positions at the corner rooms <code>(0, 0)</code>, <code>(0, n - 1)</code>, and <code>(n - 1, 0)</code>.</p>\n\n<p>The children will make <strong>exactly</strong> <code>n - 1</code> moves according to the following rules to reach the room <code>(n - 1, n - 1)</code>:</p>\n\n<ul>\n\t<li>The child starting from <code>(0, 0)</code> must move from their current room <code>(i, j)</code> to one of the rooms <code>(i + 1, j + 1)</code>, <code>(i + 1, j)</code>, and <code>(i, j + 1)</code> if the target room exists.</li>\n\t<li>The child starting from <code>(0, n - 1)</code> must move from their current room <code>(i, j)</code> to one of the rooms <code>(i + 1, j - 1)</code>, <code>(i + 1, j)</code>, and <code>(i + 1, j + 1)</code> if the target room exists.</li>\n\t<li>The child starting from <code>(n - 1, 0)</code> must move from their current room <code>(i, j)</code> to one of the rooms <code>(i - 1, j + 1)</code>, <code>(i, j + 1)</code>, and <code>(i + 1, j + 1)</code> if the target room exists.</li>\n</ul>\n\n<p>When a child enters a room, they will collect all the fruits there. If two or more children enter the same room, only one child will collect the fruits, and the room will be emptied after they leave.</p>\n\n<p>Return the <strong>maximum</strong> number of fruits the children can collect from the dungeon.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">fruits = [[1,2,3,4],[5,6,8,7],[9,10,11,12],[13,14,15,16]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">100</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/10/15/example_1.gif\" style=\"width: 250px; height: 214px;\" /></p>\n\n<p>In this example:</p>\n\n<ul>\n\t<li>The 1<sup>st</sup> child (green) moves on the path <code>(0,0) -&gt; (1,1) -&gt; (2,2) -&gt; (3, 3)</code>.</li>\n\t<li>The 2<sup>nd</sup> child (red) moves on the path <code>(0,3) -&gt; (1,2) -&gt; (2,3) -&gt; (3, 3)</code>.</li>\n\t<li>The 3<sup>rd</sup> child (blue) moves on the path <code>(3,0) -&gt; (3,1) -&gt; (3,2) -&gt; (3, 3)</code>.</li>\n</ul>\n\n<p>In total they collect <code>1 + 6 + 11 + 16 + 4 + 8 + 12 + 13 + 14 + 15 = 100</code> fruits.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">fruits = [[1,1],[1,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">4</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>In this example:</p>\n\n<ul>\n\t<li>The 1<sup>st</sup> child moves on the path <code>(0,0) -&gt; (1,1)</code>.</li>\n\t<li>The 2<sup>nd</sup> child moves on the path <code>(0,1) -&gt; (1,1)</code>.</li>\n\t<li>The 3<sup>rd</sup> child moves on the path <code>(1,0) -&gt; (1,1)</code>.</li>\n</ul>\n\n<p>In total they collect <code>1 + 1 + 1 + 1 = 4</code> fruits.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= n == fruits.length == fruits[i].length &lt;= 1000</code></li>\n\t<li><code>0 &lt;= fruits[i][j] &lt;= 1000</code></li>\n</ul>\n",
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                {
                    "lang": "C++",
                    "langSlug": "cpp",
                    "code": "class Solution {\npublic:\n    int maxCollectedFruits(vector<vector<int>>& fruits) {\n        \n    }\n};",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Java",
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                    "code": "class Solution {\n    public int maxCollectedFruits(int[][] fruits) {\n        \n    }\n}",
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                },
                {
                    "lang": "Python",
                    "langSlug": "python",
                    "code": "class Solution(object):\n    def maxCollectedFruits(self, fruits):\n        \"\"\"\n        :type fruits: List[List[int]]\n        :rtype: int\n        \"\"\"\n        ",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Python3",
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                    "code": "class Solution:\n    def maxCollectedFruits(self, fruits: List[List[int]]) -> int:\n        ",
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                {
                    "lang": "C",
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                    "code": "int maxCollectedFruits(int** fruits, int fruitsSize, int* fruitsColSize) {\n    \n}",
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                    "lang": "C#",
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                    "code": "public class Solution {\n    public int MaxCollectedFruits(int[][] fruits) {\n        \n    }\n}",
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                    "lang": "JavaScript",
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                    "code": "/**\n * @param {number[][]} fruits\n * @return {number}\n */\nvar maxCollectedFruits = function(fruits) {\n    \n};",
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                    "lang": "TypeScript",
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                    "code": "function maxCollectedFruits(fruits: number[][]): number {\n    \n};",
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                    "lang": "PHP",
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                    "code": "class Solution {\n\n    /**\n     * @param Integer[][] $fruits\n     * @return Integer\n     */\n    function maxCollectedFruits($fruits) {\n        \n    }\n}",
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                    "lang": "Swift",
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                    "code": "class Solution {\n    func maxCollectedFruits(_ fruits: [[Int]]) -> Int {\n        \n    }\n}",
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                    "lang": "Kotlin",
                    "langSlug": "kotlin",
                    "code": "class Solution {\n    fun maxCollectedFruits(fruits: Array<IntArray>): Int {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Dart",
                    "langSlug": "dart",
                    "code": "class Solution {\n  int maxCollectedFruits(List<List<int>> fruits) {\n    \n  }\n}",
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                {
                    "lang": "Go",
                    "langSlug": "golang",
                    "code": "func maxCollectedFruits(fruits [][]int) int {\n    \n}",
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                {
                    "lang": "Ruby",
                    "langSlug": "ruby",
                    "code": "# @param {Integer[][]} fruits\n# @return {Integer}\ndef max_collected_fruits(fruits)\n    \nend",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Scala",
                    "langSlug": "scala",
                    "code": "object Solution {\n    def maxCollectedFruits(fruits: Array[Array[Int]]): Int = {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Rust",
                    "langSlug": "rust",
                    "code": "impl Solution {\n    pub fn max_collected_fruits(fruits: Vec<Vec<i32>>) -> i32 {\n        \n    }\n}",
                    "__typename": "CodeSnippetNode"
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                {
                    "lang": "Racket",
                    "langSlug": "racket",
                    "code": "(define/contract (max-collected-fruits fruits)\n  (-> (listof (listof exact-integer?)) exact-integer?)\n  )",
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                    "lang": "Erlang",
                    "langSlug": "erlang",
                    "code": "-spec max_collected_fruits(Fruits :: [[integer()]]) -> integer().\nmax_collected_fruits(Fruits) ->\n  .",
                    "__typename": "CodeSnippetNode"
                },
                {
                    "lang": "Elixir",
                    "langSlug": "elixir",
                    "code": "defmodule Solution do\n  @spec max_collected_fruits(fruits :: [[integer]]) :: integer\n  def max_collected_fruits(fruits) do\n    \n  end\nend",
                    "__typename": "CodeSnippetNode"
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            "hints": [
                "The child at <code>(0, 0)</code> has only one possible path.",
                "The other two children won’t intersect its path.",
                "Use Dynamic Programming."
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