Class Solution
java.lang.Object
g2101_2200.s2146_k_highest_ranked_items_within_a_price_range.Solution
2146 - K Highest Ranked Items Within a Price Range\.
Medium
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.
* All other positive integers represent the price of an item in that cell. You may also freely move to and from these item cells.
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:
1. Distance, defined as the length of the shortest path from the `start` ( **shorter** distance has a higher rank).
2. Price ( **lower** price has a higher rank, but it must be **in the price range** ).
3. The row number ( **smaller** row number has a higher rank).
4. The column number ( **smaller** column number 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_.
**Example 1:**

**Input:** grid = \[\[1,2,0,1],[1,3,0,1],[0,2,5,1]], pricing = [2,5], start = [0,0], k = 3
**Output:** [[0,1],[1,1],[2,1]]
**Explanation:** You start at (0,0).
With a price range of [2,5], we can take items from (0,1), (1,1), (2,1) and (2,2).
The ranks of these items are:
- (0,1) with distance 1
- (1,1) with distance 2
- (2,1) with distance 3
- (2,2) with distance 4
Thus, the 3 highest ranked items in the price range are (0,1), (1,1), and (2,1).
**Example 2:**

**Input:** grid = \[\[1,2,0,1],[1,3,3,1],[0,2,5,1]], pricing = [2,3], start = [2,3], k = 2
**Output:** [[2,1],[1,2]]
**Explanation:** You start at (2,3).
With a price range of [2,3], we can take items from (0,1), (1,1), (1,2) and (2,1).
The ranks of these items are:
- (2,1) with distance 2, price 2
- (1,2) with distance 2, price 3
- (1,1) with distance 3
- (0,1) with distance 4
Thus, the 2 highest ranked items in the price range are (2,1) and (1,2).
**Example 3:**

**Input:** grid = \[\[1,1,1],[0,0,1],[2,3,4]], pricing = [2,3], start = [0,0], k = 3
**Output:** [[2,1],[2,0]]
**Explanation:** You start at (0,0).
With a price range of [2,3], we can take items from (2,0) and (2,1).
The ranks of these items are:
- (2,1) with distance 5
- (2,0) with distance 6
Thus, the 2 highest ranked items in the price range are (2,1) and (2,0).
Note that k = 3 but there are only 2 reachable items within the price range.
**Constraints:**
* `m == grid.length`
* `n == grid[i].length`
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1 <= m, n <= 105
* 1 <= m * n <= 105
* 0 <= grid[i][j] <= 105
* `pricing.length == 2`
* 2 <= low <= high <= 105
* `start.length == 2`
* `0 <= row <= m - 1`
* `0 <= col <= n - 1`
* `grid[row][col] > 0`
* `1 <= k <= m * n`-
Constructor Summary
Constructors -
Method Summary
Modifier and TypeMethodDescriptionhighestRankedKItems(int[][] grid, int[] pricing, int[] start, int k)
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Constructor Details
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Solution
public Solution()
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Method Details
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highestRankedKItems
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