![\"\"](\"https://assets.leetcode.com/uploads/2021/12/16/example1drawio.png\")
You are given a 0-indexed 2D integer array grid of size m x n that represents a map of the items in a shop. The integers in the grid represent the following:
0 represents a wall that you cannot pass through.1 represents an empty cell that you can freely move to and from.It takes 1 step to travel between adjacent grid cells.
You are also given integer arrays pricing and start where pricing = [low, high] and start = [row, col] indicates that you start at the position (row, col) and are interested only in items with a price in the range of [low, high] (inclusive). You are further given an integer k.
You are interested in the positions of the k highest-ranked items whose prices are within the given price range. The rank is determined by the first of these criteria that is different:
start (shorter distance has a higher rank).Return the k highest-ranked items within the price range sorted by their rank (highest to lowest). If there are fewer than k reachable items within the price range, return all of them.
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Example 1:
\n\n\nInput: grid = [[1,2,0,1],[1,3,0,1],[0,2,5,1]], pricing = [2,5], start = [0,0], k = 3\nOutput: [[0,1],[1,1],[2,1]]\nExplanation: You start at (0,0).\nWith a price range of [2,5], we can take items from (0,1), (1,1), (2,1) and (2,2).\nThe ranks of these items are:\n- (0,1) with distance 1\n- (1,1) with distance 2\n- (2,1) with distance 3\n- (2,2) with distance 4\nThus, the 3 highest ranked items in the price range are (0,1), (1,1), and (2,1).\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2021/12/16/example2drawio1.png\")
\n\nInput: grid = [[1,2,0,1],[1,3,3,1],[0,2,5,1]], pricing = [2,3], start = [2,3], k = 2\nOutput: [[2,1],[1,2]]\nExplanation: You start at (2,3).\nWith a price range of [2,3], we can take items from (0,1), (1,1), (1,2) and (2,1).\nThe ranks of these items are:\n- (2,1) with distance 2, price 2\n- (1,2) with distance 2, price 3\n- (1,1) with distance 3\n- (0,1) with distance 4\nThus, the 2 highest ranked items in the price range are (2,1) and (1,2).\n\n\n
Example 3:
\n![\"\"](\"https://assets.leetcode.com/uploads/2021/12/30/example3.png\")
\n\nInput: grid = [[1,1,1],[0,0,1],[2,3,4]], pricing = [2,3], start = [0,0], k = 3\nOutput: [[2,1],[2,0]]\nExplanation: You start at (0,0).\nWith a price range of [2,3], we can take items from (2,0) and (2,1). \nThe ranks of these items are: \n- (2,1) with distance 5\n- (2,0) with distance 6\nThus, the 2 highest ranked items in the price range are (2,1) and (2,0). \nNote that k = 3 but there are only 2 reachable items within the price range.\n\n\n
\n
Constraints:
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 1051 <= m * n <= 1050 <= grid[i][j] <= 105pricing.length == 22 <= low <= high <= 105start.length == 20 <= row <= m - 10 <= col <= n - 1grid[row][col] > 01 <= k <= m * n给你一个下标从 0 开始的二维整数数组 grid ，它的大小为 m x n ，表示一个商店中物品的分布图。数组中的整数含义为：
0 表示无法穿越的一堵墙。1 表示可以自由通过的一个空格子。从一个格子走到上下左右相邻格子花费 1 步。
同时给你一个整数数组 pricing 和 start ，其中 pricing = [low, high] 且 start = [row, col] ，表示你开始位置为 (row, col) ，同时你只对物品价格在 闭区间 [low, high] 之内的物品感兴趣。同时给你一个整数 k 。
你想知道给定范围 内 且 排名最高 的 k 件物品的 位置 。排名按照优先级从高到低的以下规则制定：
start 到一件物品的最短路径需要的步数（较近 距离的排名更高）。请你返回给定价格内排名最高的 k 件物品的坐标，将它们按照排名排序后返回。如果给定价格内少于 k 件物品，那么请将它们的坐标 全部 返回。
\n\n
示例 1：
\n\n
输入：grid = [[1,2,0,1],[1,3,0,1],[0,2,5,1]], pricing = [2,5], start = [0,0], k = 3\n输出：[[0,1],[1,1],[2,1]]\n解释：起点为 (0,0) 。\n价格范围为 [2,5] ，我们可以选择的物品坐标为 (0,1)，(1,1)，(2,1) 和 (2,2) 。\n这些物品的排名为：\n- (0,1) 距离为 1\n- (1,1) 距离为 2\n- (2,1) 距离为 3\n- (2,2) 距离为 4\n所以，给定价格范围内排名最高的 3 件物品的坐标为 (0,1)，(1,1) 和 (2,1) 。\n\n\n
示例 2：
\n\n
输入：grid = [[1,2,0,1],[1,3,3,1],[0,2,5,1]], pricing = [2,3], start = [2,3], k = 2\n输出：[[2,1],[1,2]]\n解释：起点为 (2,3) 。\n价格范围为 [2,3] ，我们可以选择的物品坐标为 (0,1)，(1,1)，(1,2) 和 (2,1) 。\n这些物品的排名为： \n- (2,1) 距离为 2 ，价格为 2\n- (1,2) 距离为 2 ，价格为 3\n- (1,1) 距离为 3\n- (0,1) 距离为 4\n所以，给定价格范围内排名最高的 2 件物品的坐标为 (2,1) 和 (1,2) 。\n\n\n
示例 3：
\n\n
输入：grid = [[1,1,1],[0,0,1],[2,3,4]], pricing = [2,3], start = [0,0], k = 3\n输出：[[2,1],[2,0]]\n解释：起点为 (0,0) 。\n价格范围为 [2,3] ，我们可以选择的物品坐标为 (2,0) 和 (2,1) 。\n这些物品的排名为：\n- (2,1) 距离为 5\n- (2,0) 距离为 6\n所以，给定价格范围内排名最高的 2 件物品的坐标为 (2,1) 和 (2,0) 。\n注意，k = 3 但给定价格范围内只有 2 件物品。\n\n\n
\n\n
提示：
\n\nm == grid.lengthn == grid[i].length1 <= m, n <= 1051 <= m * n <= 1050 <= grid[i][j] <= 105pricing.length == 22 <= low <= high <= 105start.length == 20 <= row <= m - 10 <= col <= n - 1grid[row][col] > 01 <= k <= m * n\\u7248\\u672c\\uff1a \\u7f16\\u8bd1\\u65f6\\uff0c\\u5c06\\u4f1a\\u91c7\\u7528 \\u4e3a\\u4e86\\u4f7f\\u7528\\u65b9\\u4fbf\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8\\u5bfc\\u5165\\u3002<\\/p>\"],\"java\":[\"Java\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u6807\\u51c6\\u5e93\\u7684\\u5934\\u6587\\u4ef6\\u5df2\\u88ab\\u5bfc\\u5165\\u3002<\\/p>\\r\\n\\r\\n \\u5305\\u542b Pair \\u7c7b: https:\\/\\/docs.oracle.com\\/javase\\/8\\/javafx\\/api\\/javafx\\/util\\/Pair.html <\\/p>\"],\"python\":[\"Python\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 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Algorithms \\u6a21\\u5757\\u4e2d\\u63d0\\u4f9b\\uff1ahttps:\\/\\/www.rubydoc.info\\/github\\/kanwei\\/algorithms\\/Algorithms<\\/p>\"],\"swift\":[\"Swift\",\" \\u7248\\u672c\\uff1a \\u6211\\u4eec\\u901a\\u5e38\\u4fdd\\u8bc1\\u66f4\\u65b0\\u5230 Apple\\u653e\\u51fa\\u7684\\u6700\\u65b0\\u7248Swift<\\/a>\\u3002\\u5982\\u679c\\u60a8\\u53d1\\u73b0Swift\\u4e0d\\u662f\\u6700\\u65b0\\u7248\\u7684\\uff0c\\u8bf7\\u8054\\u7cfb\\u6211\\u4eec\\uff01\\u6211\\u4eec\\u5c06\\u5c3d\\u5feb\\u66f4\\u65b0\\u3002<\\/p>\"],\"golang\":[\"Go\",\" \\u7248\\u672c\\uff1a \\u652f\\u6301 https:\\/\\/godoc.org\\/github.com\\/emirpasic\\/gods<\\/a> \\u7b2c\\u4e09\\u65b9\\u5e93\\u3002<\\/p>\"],\"python3\":[\"Python3\",\" \\u7248\\u672c\\uff1a \\u4e3a\\u4e86\\u65b9\\u4fbf\\u8d77\\u89c1\\uff0c\\u5927\\u90e8\\u5206\\u5e38\\u7528\\u5e93\\u5df2\\u7ecf\\u88ab\\u81ea\\u52a8 \\u5bfc\\u5165\\uff0c\\u5982array<\\/a>, bisect<\\/a>, collections<\\/a>\\u3002 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