diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README.md b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README.md
index 4dcd7f3797ce7..a48cd9db4ab3b 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README.md	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README.md	
@@ -71,7 +71,7 @@ tags:
 <b>输出：</b>[[2,1],[1,2]]
 <b>解释：</b>起点为 (2,3) 。
 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) 。
-这些物品的排名为： 
+这些物品的排名为：
 - (2,1) 距离为 2 ，价格为 2
 - (1,2) 距离为 2 ，价格为 3
 - (1,1) 距离为 3
@@ -119,7 +119,13 @@ tags:
 
 <!-- solution:start -->
 
-### 方法一
+### 方法一：BFS + 排序
+
+我们可以从 $(\textit{row}, \textit{col})$ 出发，使用广度优先搜索找到所有价格在 $[\textit{low}, \textit{high}]$ 范围内的物品，将这些物品的距离、价格、行坐标和列坐标存入数组 $\textit{pq}$ 中。
+
+最后对 $\textit{pq}$ 按照距离、价格、行坐标和列坐标的顺序排序，取前 $k$ 个物品的坐标返回。
+
+时间复杂度 $O(m \times n \times \log (m \times n))$，空间复杂度 $O(m \times n)$。其中 $m$ 和 $n$ 分别是二维数组 $\textit{grid}$ 的行数和列数。
 
 <!-- tabs:start -->
 
@@ -131,23 +137,28 @@ class Solution:
         self, grid: List[List[int]], pricing: List[int], start: List[int], k: int
     ) -> List[List[int]]:
         m, n = len(grid), len(grid[0])
-        row, col, low, high = start + pricing
-        items = []
+        row, col = start
+        low, high = pricing
+        q = deque([(row, col)])
+        pq = []
         if low <= grid[row][col] <= high:
-            items.append([0, grid[row][col], row, col])
-        q = deque([(row, col, 0)])
+            pq.append((0, grid[row][col], row, col))
         grid[row][col] = 0
+        dirs = (-1, 0, 1, 0, -1)
+        step = 0
         while q:
-            i, j, d = q.popleft()
-            for a, b in [[0, 1], [0, -1], [1, 0], [-1, 0]]:
-                x, y = i + a, j + b
-                if 0 <= x < m and 0 <= y < n and grid[x][y]:
-                    if low <= grid[x][y] <= high:
-                        items.append([d + 1, grid[x][y], x, y])
-                    q.append((x, y, d + 1))
-                    grid[x][y] = 0
-        items.sort()
-        return [item[2:] for item in items][:k]
+            step += 1
+            for _ in range(len(q)):
+                x, y = q.popleft()
+                for a, b in pairwise(dirs):
+                    nx, ny = x + a, y + b
+                    if 0 <= nx < m and 0 <= ny < n and grid[nx][ny] > 0:
+                        if low <= grid[nx][ny] <= high:
+                            pq.append((step, grid[nx][ny], nx, ny))
+                        grid[nx][ny] = 0
+                        q.append((nx, ny))
+        pq.sort()
+        return [list(x[2:]) for x in pq[:k]]
 ```
 
 #### Java
@@ -156,47 +167,46 @@ class Solution:
 class Solution {
     public List<List<Integer>> highestRankedKItems(
         int[][] grid, int[] pricing, int[] start, int k) {
-        int m = grid.length, n = grid[0].length;
+        int m = grid.length;
+        int n = grid[0].length;
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        List<int[]> items = new ArrayList<>();
+        Deque<int[]> q = new ArrayDeque<>();
+        q.offer(new int[] {row, col});
+        List<int[]> pq = new ArrayList<>();
         if (low <= grid[row][col] && grid[row][col] <= high) {
-            items.add(new int[] {0, grid[row][col], row, col});
+            pq.add(new int[] {0, grid[row][col], row, col});
         }
         grid[row][col] = 0;
-        Deque<int[]> q = new ArrayDeque<>();
-        q.offer(new int[] {row, col, 0});
-        int[] dirs = {-1, 0, 1, 0, -1};
-        while (!q.isEmpty()) {
-            int[] p = q.poll();
-            int i = p[0], j = p[1], d = p[2];
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) {
-                        items.add(new int[] {d + 1, grid[x][y], x, y});
+        final int[] dirs = {-1, 0, 1, 0, -1};
+        for (int step = 1; !q.isEmpty(); ++step) {
+            for (int size = q.size(); size > 0; --size) {
+                int[] curr = q.poll();
+                int x = curr[0], y = curr[1];
+                for (int j = 0; j < 4; j++) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.add(new int[] {step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.offer(new int[] {nx, ny});
                     }
-                    grid[x][y] = 0;
-                    q.offer(new int[] {x, y, d + 1});
                 }
             }
         }
-        items.sort((a, b) -> {
-            if (a[0] != b[0]) {
-                return a[0] - b[0];
-            }
-            if (a[1] != b[1]) {
-                return a[1] - b[1];
-            }
-            if (a[2] != b[2]) {
-                return a[2] - b[2];
-            }
-            return a[3] - b[3];
+
+        pq.sort((a, b) -> {
+            if (a[0] != b[0]) return Integer.compare(a[0], b[0]);
+            if (a[1] != b[1]) return Integer.compare(a[1], b[1]);
+            if (a[2] != b[2]) return Integer.compare(a[2], b[2]);
+            return Integer.compare(a[3], b[3]);
         });
+
         List<List<Integer>> ans = new ArrayList<>();
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            int[] p = items.get(i);
-            ans.add(Arrays.asList(p[2], p[3]));
+        for (int i = 0; i < Math.min(k, pq.size()); i++) {
+            ans.add(List.of(pq.get(i)[2], pq.get(i)[3]));
         }
         return ans;
     }
@@ -212,30 +222,36 @@ public:
         int m = grid.size(), n = grid[0].size();
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        vector<tuple<int, int, int, int>> items;
-        if (low <= grid[row][col] && grid[row][col] <= high)
-            items.emplace_back(0, grid[row][col], row, col);
-        queue<tuple<int, int, int>> q;
-        q.emplace(row, col, 0);
+        queue<pair<int, int>> q;
+        q.push({row, col});
+        vector<tuple<int, int, int, int>> pq;
+        if (low <= grid[row][col] && grid[row][col] <= high) {
+            pq.push_back({0, grid[row][col], row, col});
+        }
         grid[row][col] = 0;
         vector<int> dirs = {-1, 0, 1, 0, -1};
-        while (!q.empty()) {
-            auto [i, j, d] = q.front();
-            q.pop();
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y]) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) items.emplace_back(d + 1, grid[x][y], x, y);
-                    grid[x][y] = 0;
-                    q.emplace(x, y, d + 1);
+        for (int step = 1; q.size(); ++step) {
+            int sz = q.size();
+            for (int i = 0; i < sz; ++i) {
+                auto [x, y] = q.front();
+                q.pop();
+                for (int j = 0; j < 4; ++j) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.push_back({step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.push({nx, ny});
+                    }
                 }
             }
         }
-        sort(items.begin(), items.end());
+        sort(pq.begin(), pq.end());
         vector<vector<int>> ans;
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            auto [d, p, x, y] = items[i];
-            ans.push_back({x, y});
+        for (int i = 0; i < min(k, (int) pq.size()); ++i) {
+            ans.push_back({get<2>(pq[i]), get<3>(pq[i])});
         }
         return ans;
     }
@@ -245,34 +261,35 @@ public:
 #### Go
 
 ```go
-func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]int {
+func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) (ans [][]int) {
 	m, n := len(grid), len(grid[0])
 	row, col := start[0], start[1]
 	low, high := pricing[0], pricing[1]
-	var items [][]int
+	q := [][2]int{{row, col}}
+	pq := [][]int{}
 	if low <= grid[row][col] && grid[row][col] <= high {
-		items = append(items, []int{0, grid[row][col], row, col})
+		pq = append(pq, []int{0, grid[row][col], row, col})
 	}
-	q := [][]int{{row, col, 0}}
 	grid[row][col] = 0
-	dirs := []int{-1, 0, 1, 0, -1}
-	for len(q) > 0 {
-		p := q[0]
-		q = q[1:]
-		i, j, d := p[0], p[1], p[2]
-		for l := 0; l < 4; l++ {
-			x, y := i+dirs[l], j+dirs[l+1]
-			if x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0 {
-				if low <= grid[x][y] && grid[x][y] <= high {
-					items = append(items, []int{d + 1, grid[x][y], x, y})
+	dirs := [5]int{-1, 0, 1, 0, -1}
+	for step := 1; len(q) > 0; step++ {
+		for sz := len(q); sz > 0; sz-- {
+			x, y := q[0][0], q[0][1]
+			q = q[1:]
+			for j := 0; j < 4; j++ {
+				nx, ny := x+dirs[j], y+dirs[j+1]
+				if nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0 {
+					if low <= grid[nx][ny] && grid[nx][ny] <= high {
+						pq = append(pq, []int{step, grid[nx][ny], nx, ny})
+					}
+					grid[nx][ny] = 0
+					q = append(q, [2]int{nx, ny})
 				}
-				grid[x][y] = 0
-				q = append(q, []int{x, y, d + 1})
 			}
 		}
 	}
-	sort.Slice(items, func(i, j int) bool {
-		a, b := items[i], items[j]
+	sort.Slice(pq, func(i, j int) bool {
+		a, b := pq[i], pq[j]
 		if a[0] != b[0] {
 			return a[0] < b[0]
 		}
@@ -284,11 +301,60 @@ func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]in
 		}
 		return a[3] < b[3]
 	})
-	var ans [][]int
-	for i := 0; i < len(items) && i < k; i++ {
-		ans = append(ans, items[i][2:])
+	for i := 0; i < len(pq) && i < k; i++ {
+		ans = append(ans, pq[i][2:])
 	}
-	return ans
+	return
+}
+```
+
+#### TypeScript
+
+```ts
+function highestRankedKItems(
+    grid: number[][],
+    pricing: number[],
+    start: number[],
+    k: number,
+): number[][] {
+    const [m, n] = [grid.length, grid[0].length];
+    const [row, col] = start;
+    const [low, high] = pricing;
+    let q: [number, number][] = [[row, col]];
+    const pq: [number, number, number, number][] = [];
+    if (low <= grid[row][col] && grid[row][col] <= high) {
+        pq.push([0, grid[row][col], row, col]);
+    }
+    grid[row][col] = 0;
+    const dirs = [-1, 0, 1, 0, -1];
+    for (let step = 1; q.length > 0; ++step) {
+        const nq: [number, number][] = [];
+        for (const [x, y] of q) {
+            for (let j = 0; j < 4; j++) {
+                const nx = x + dirs[j];
+                const ny = y + dirs[j + 1];
+                if (nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0) {
+                    if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                        pq.push([step, grid[nx][ny], nx, ny]);
+                    }
+                    grid[nx][ny] = 0;
+                    nq.push([nx, ny]);
+                }
+            }
+        }
+        q = nq;
+    }
+    pq.sort((a, b) => {
+        if (a[0] !== b[0]) return a[0] - b[0];
+        if (a[1] !== b[1]) return a[1] - b[1];
+        if (a[2] !== b[2]) return a[2] - b[2];
+        return a[3] - b[3];
+    });
+    const ans: number[][] = [];
+    for (let i = 0; i < Math.min(k, pq.length); i++) {
+        ans.push([pq[i][2], pq[i][3]]);
+    }
+    return ans;
 }
 ```
 
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README_EN.md b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README_EN.md
index 594d962793180..d52629bfa5a31 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README_EN.md	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/README_EN.md	
@@ -82,11 +82,11 @@ Thus, the 2 highest ranked items in the price range are (2,1) and (1,2).
 <strong>Input:</strong> grid = [[1,1,1],[0,0,1],[2,3,4]], pricing = [2,3], start = [0,0], k = 3
 <strong>Output:</strong> [[2,1],[2,0]]
 <strong>Explanation:</strong> 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: 
+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). 
+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.
 </pre>
 
@@ -114,7 +114,13 @@ Note that k = 3 but there are only 2 reachable items within the price range.
 
 <!-- solution:start -->
 
-### Solution 1
+### Solution 1: BFS + Sorting
+
+We can start from $(\textit{row}, \textit{col})$ and use breadth-first search to find all items with prices in the range $[\textit{low}, \textit{high}]$. Store the distance, price, row coordinate, and column coordinate of these items in the array $\textit{pq}$.
+
+Finally, sort $\textit{pq}$ by distance, price, row coordinate, and column coordinate, and return the coordinates of the first $k$ items.
+
+The time complexity is $O(m \times n \times \log (m \times n))$, and the space complexity is $O(m \times n)$. Here, $m$ and $n$ are the number of rows and columns of the 2D array $\textit{grid}$, respectively.
 
 <!-- tabs:start -->
 
@@ -126,23 +132,28 @@ class Solution:
         self, grid: List[List[int]], pricing: List[int], start: List[int], k: int
     ) -> List[List[int]]:
         m, n = len(grid), len(grid[0])
-        row, col, low, high = start + pricing
-        items = []
+        row, col = start
+        low, high = pricing
+        q = deque([(row, col)])
+        pq = []
         if low <= grid[row][col] <= high:
-            items.append([0, grid[row][col], row, col])
-        q = deque([(row, col, 0)])
+            pq.append((0, grid[row][col], row, col))
         grid[row][col] = 0
+        dirs = (-1, 0, 1, 0, -1)
+        step = 0
         while q:
-            i, j, d = q.popleft()
-            for a, b in [[0, 1], [0, -1], [1, 0], [-1, 0]]:
-                x, y = i + a, j + b
-                if 0 <= x < m and 0 <= y < n and grid[x][y]:
-                    if low <= grid[x][y] <= high:
-                        items.append([d + 1, grid[x][y], x, y])
-                    q.append((x, y, d + 1))
-                    grid[x][y] = 0
-        items.sort()
-        return [item[2:] for item in items][:k]
+            step += 1
+            for _ in range(len(q)):
+                x, y = q.popleft()
+                for a, b in pairwise(dirs):
+                    nx, ny = x + a, y + b
+                    if 0 <= nx < m and 0 <= ny < n and grid[nx][ny] > 0:
+                        if low <= grid[nx][ny] <= high:
+                            pq.append((step, grid[nx][ny], nx, ny))
+                        grid[nx][ny] = 0
+                        q.append((nx, ny))
+        pq.sort()
+        return [list(x[2:]) for x in pq[:k]]
 ```
 
 #### Java
@@ -151,47 +162,46 @@ class Solution:
 class Solution {
     public List<List<Integer>> highestRankedKItems(
         int[][] grid, int[] pricing, int[] start, int k) {
-        int m = grid.length, n = grid[0].length;
+        int m = grid.length;
+        int n = grid[0].length;
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        List<int[]> items = new ArrayList<>();
+        Deque<int[]> q = new ArrayDeque<>();
+        q.offer(new int[] {row, col});
+        List<int[]> pq = new ArrayList<>();
         if (low <= grid[row][col] && grid[row][col] <= high) {
-            items.add(new int[] {0, grid[row][col], row, col});
+            pq.add(new int[] {0, grid[row][col], row, col});
         }
         grid[row][col] = 0;
-        Deque<int[]> q = new ArrayDeque<>();
-        q.offer(new int[] {row, col, 0});
-        int[] dirs = {-1, 0, 1, 0, -1};
-        while (!q.isEmpty()) {
-            int[] p = q.poll();
-            int i = p[0], j = p[1], d = p[2];
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) {
-                        items.add(new int[] {d + 1, grid[x][y], x, y});
+        final int[] dirs = {-1, 0, 1, 0, -1};
+        for (int step = 1; !q.isEmpty(); ++step) {
+            for (int size = q.size(); size > 0; --size) {
+                int[] curr = q.poll();
+                int x = curr[0], y = curr[1];
+                for (int j = 0; j < 4; j++) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.add(new int[] {step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.offer(new int[] {nx, ny});
                     }
-                    grid[x][y] = 0;
-                    q.offer(new int[] {x, y, d + 1});
                 }
             }
         }
-        items.sort((a, b) -> {
-            if (a[0] != b[0]) {
-                return a[0] - b[0];
-            }
-            if (a[1] != b[1]) {
-                return a[1] - b[1];
-            }
-            if (a[2] != b[2]) {
-                return a[2] - b[2];
-            }
-            return a[3] - b[3];
+
+        pq.sort((a, b) -> {
+            if (a[0] != b[0]) return Integer.compare(a[0], b[0]);
+            if (a[1] != b[1]) return Integer.compare(a[1], b[1]);
+            if (a[2] != b[2]) return Integer.compare(a[2], b[2]);
+            return Integer.compare(a[3], b[3]);
         });
+
         List<List<Integer>> ans = new ArrayList<>();
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            int[] p = items.get(i);
-            ans.add(Arrays.asList(p[2], p[3]));
+        for (int i = 0; i < Math.min(k, pq.size()); i++) {
+            ans.add(List.of(pq.get(i)[2], pq.get(i)[3]));
         }
         return ans;
     }
@@ -207,30 +217,36 @@ public:
         int m = grid.size(), n = grid[0].size();
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        vector<tuple<int, int, int, int>> items;
-        if (low <= grid[row][col] && grid[row][col] <= high)
-            items.emplace_back(0, grid[row][col], row, col);
-        queue<tuple<int, int, int>> q;
-        q.emplace(row, col, 0);
+        queue<pair<int, int>> q;
+        q.push({row, col});
+        vector<tuple<int, int, int, int>> pq;
+        if (low <= grid[row][col] && grid[row][col] <= high) {
+            pq.push_back({0, grid[row][col], row, col});
+        }
         grid[row][col] = 0;
         vector<int> dirs = {-1, 0, 1, 0, -1};
-        while (!q.empty()) {
-            auto [i, j, d] = q.front();
-            q.pop();
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y]) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) items.emplace_back(d + 1, grid[x][y], x, y);
-                    grid[x][y] = 0;
-                    q.emplace(x, y, d + 1);
+        for (int step = 1; q.size(); ++step) {
+            int sz = q.size();
+            for (int i = 0; i < sz; ++i) {
+                auto [x, y] = q.front();
+                q.pop();
+                for (int j = 0; j < 4; ++j) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.push_back({step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.push({nx, ny});
+                    }
                 }
             }
         }
-        sort(items.begin(), items.end());
+        sort(pq.begin(), pq.end());
         vector<vector<int>> ans;
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            auto [d, p, x, y] = items[i];
-            ans.push_back({x, y});
+        for (int i = 0; i < min(k, (int) pq.size()); ++i) {
+            ans.push_back({get<2>(pq[i]), get<3>(pq[i])});
         }
         return ans;
     }
@@ -240,34 +256,35 @@ public:
 #### Go
 
 ```go
-func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]int {
+func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) (ans [][]int) {
 	m, n := len(grid), len(grid[0])
 	row, col := start[0], start[1]
 	low, high := pricing[0], pricing[1]
-	var items [][]int
+	q := [][2]int{{row, col}}
+	pq := [][]int{}
 	if low <= grid[row][col] && grid[row][col] <= high {
-		items = append(items, []int{0, grid[row][col], row, col})
+		pq = append(pq, []int{0, grid[row][col], row, col})
 	}
-	q := [][]int{{row, col, 0}}
 	grid[row][col] = 0
-	dirs := []int{-1, 0, 1, 0, -1}
-	for len(q) > 0 {
-		p := q[0]
-		q = q[1:]
-		i, j, d := p[0], p[1], p[2]
-		for l := 0; l < 4; l++ {
-			x, y := i+dirs[l], j+dirs[l+1]
-			if x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0 {
-				if low <= grid[x][y] && grid[x][y] <= high {
-					items = append(items, []int{d + 1, grid[x][y], x, y})
+	dirs := [5]int{-1, 0, 1, 0, -1}
+	for step := 1; len(q) > 0; step++ {
+		for sz := len(q); sz > 0; sz-- {
+			x, y := q[0][0], q[0][1]
+			q = q[1:]
+			for j := 0; j < 4; j++ {
+				nx, ny := x+dirs[j], y+dirs[j+1]
+				if nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0 {
+					if low <= grid[nx][ny] && grid[nx][ny] <= high {
+						pq = append(pq, []int{step, grid[nx][ny], nx, ny})
+					}
+					grid[nx][ny] = 0
+					q = append(q, [2]int{nx, ny})
 				}
-				grid[x][y] = 0
-				q = append(q, []int{x, y, d + 1})
 			}
 		}
 	}
-	sort.Slice(items, func(i, j int) bool {
-		a, b := items[i], items[j]
+	sort.Slice(pq, func(i, j int) bool {
+		a, b := pq[i], pq[j]
 		if a[0] != b[0] {
 			return a[0] < b[0]
 		}
@@ -279,11 +296,60 @@ func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]in
 		}
 		return a[3] < b[3]
 	})
-	var ans [][]int
-	for i := 0; i < len(items) && i < k; i++ {
-		ans = append(ans, items[i][2:])
+	for i := 0; i < len(pq) && i < k; i++ {
+		ans = append(ans, pq[i][2:])
 	}
-	return ans
+	return
+}
+```
+
+#### TypeScript
+
+```ts
+function highestRankedKItems(
+    grid: number[][],
+    pricing: number[],
+    start: number[],
+    k: number,
+): number[][] {
+    const [m, n] = [grid.length, grid[0].length];
+    const [row, col] = start;
+    const [low, high] = pricing;
+    let q: [number, number][] = [[row, col]];
+    const pq: [number, number, number, number][] = [];
+    if (low <= grid[row][col] && grid[row][col] <= high) {
+        pq.push([0, grid[row][col], row, col]);
+    }
+    grid[row][col] = 0;
+    const dirs = [-1, 0, 1, 0, -1];
+    for (let step = 1; q.length > 0; ++step) {
+        const nq: [number, number][] = [];
+        for (const [x, y] of q) {
+            for (let j = 0; j < 4; j++) {
+                const nx = x + dirs[j];
+                const ny = y + dirs[j + 1];
+                if (nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0) {
+                    if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                        pq.push([step, grid[nx][ny], nx, ny]);
+                    }
+                    grid[nx][ny] = 0;
+                    nq.push([nx, ny]);
+                }
+            }
+        }
+        q = nq;
+    }
+    pq.sort((a, b) => {
+        if (a[0] !== b[0]) return a[0] - b[0];
+        if (a[1] !== b[1]) return a[1] - b[1];
+        if (a[2] !== b[2]) return a[2] - b[2];
+        return a[3] - b[3];
+    });
+    const ans: number[][] = [];
+    for (let i = 0; i < Math.min(k, pq.length); i++) {
+        ans.push([pq[i][2], pq[i][3]]);
+    }
+    return ans;
 }
 ```
 
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.cpp b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.cpp
index 7713f5b430823..68282f2a05dd0 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.cpp	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.cpp	
@@ -4,31 +4,37 @@ class Solution {
         int m = grid.size(), n = grid[0].size();
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        vector<tuple<int, int, int, int>> items;
-        if (low <= grid[row][col] && grid[row][col] <= high)
-            items.emplace_back(0, grid[row][col], row, col);
-        queue<tuple<int, int, int>> q;
-        q.emplace(row, col, 0);
+        queue<pair<int, int>> q;
+        q.push({row, col});
+        vector<tuple<int, int, int, int>> pq;
+        if (low <= grid[row][col] && grid[row][col] <= high) {
+            pq.push_back({0, grid[row][col], row, col});
+        }
         grid[row][col] = 0;
         vector<int> dirs = {-1, 0, 1, 0, -1};
-        while (!q.empty()) {
-            auto [i, j, d] = q.front();
-            q.pop();
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y]) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) items.emplace_back(d + 1, grid[x][y], x, y);
-                    grid[x][y] = 0;
-                    q.emplace(x, y, d + 1);
+        for (int step = 1; q.size(); ++step) {
+            int sz = q.size();
+            for (int i = 0; i < sz; ++i) {
+                auto [x, y] = q.front();
+                q.pop();
+                for (int j = 0; j < 4; ++j) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.push_back({step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.push({nx, ny});
+                    }
                 }
             }
         }
-        sort(items.begin(), items.end());
+        sort(pq.begin(), pq.end());
         vector<vector<int>> ans;
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            auto [d, p, x, y] = items[i];
-            ans.push_back({x, y});
+        for (int i = 0; i < min(k, (int) pq.size()); ++i) {
+            ans.push_back({get<2>(pq[i]), get<3>(pq[i])});
         }
         return ans;
     }
-};
\ No newline at end of file
+};
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.go b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.go
index e6addd6fb66c7..03b8ec04df8b4 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.go	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.go	
@@ -1,31 +1,32 @@
-func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]int {
+func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) (ans [][]int) {
 	m, n := len(grid), len(grid[0])
 	row, col := start[0], start[1]
 	low, high := pricing[0], pricing[1]
-	var items [][]int
+	q := [][2]int{{row, col}}
+	pq := [][]int{}
 	if low <= grid[row][col] && grid[row][col] <= high {
-		items = append(items, []int{0, grid[row][col], row, col})
+		pq = append(pq, []int{0, grid[row][col], row, col})
 	}
-	q := [][]int{{row, col, 0}}
 	grid[row][col] = 0
-	dirs := []int{-1, 0, 1, 0, -1}
-	for len(q) > 0 {
-		p := q[0]
-		q = q[1:]
-		i, j, d := p[0], p[1], p[2]
-		for l := 0; l < 4; l++ {
-			x, y := i+dirs[l], j+dirs[l+1]
-			if x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0 {
-				if low <= grid[x][y] && grid[x][y] <= high {
-					items = append(items, []int{d + 1, grid[x][y], x, y})
+	dirs := [5]int{-1, 0, 1, 0, -1}
+	for step := 1; len(q) > 0; step++ {
+		for sz := len(q); sz > 0; sz-- {
+			x, y := q[0][0], q[0][1]
+			q = q[1:]
+			for j := 0; j < 4; j++ {
+				nx, ny := x+dirs[j], y+dirs[j+1]
+				if nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0 {
+					if low <= grid[nx][ny] && grid[nx][ny] <= high {
+						pq = append(pq, []int{step, grid[nx][ny], nx, ny})
+					}
+					grid[nx][ny] = 0
+					q = append(q, [2]int{nx, ny})
 				}
-				grid[x][y] = 0
-				q = append(q, []int{x, y, d + 1})
 			}
 		}
 	}
-	sort.Slice(items, func(i, j int) bool {
-		a, b := items[i], items[j]
+	sort.Slice(pq, func(i, j int) bool {
+		a, b := pq[i], pq[j]
 		if a[0] != b[0] {
 			return a[0] < b[0]
 		}
@@ -37,9 +38,8 @@ func highestRankedKItems(grid [][]int, pricing []int, start []int, k int) [][]in
 		}
 		return a[3] < b[3]
 	})
-	var ans [][]int
-	for i := 0; i < len(items) && i < k; i++ {
-		ans = append(ans, items[i][2:])
+	for i := 0; i < len(pq) && i < k; i++ {
+		ans = append(ans, pq[i][2:])
 	}
-	return ans
-}
\ No newline at end of file
+	return
+}
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.java b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.java
index 04822265c81f1..9e1e1cd556e7d 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.java	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.java	
@@ -1,48 +1,47 @@
 class Solution {
     public List<List<Integer>> highestRankedKItems(
         int[][] grid, int[] pricing, int[] start, int k) {
-        int m = grid.length, n = grid[0].length;
+        int m = grid.length;
+        int n = grid[0].length;
         int row = start[0], col = start[1];
         int low = pricing[0], high = pricing[1];
-        List<int[]> items = new ArrayList<>();
+        Deque<int[]> q = new ArrayDeque<>();
+        q.offer(new int[] {row, col});
+        List<int[]> pq = new ArrayList<>();
         if (low <= grid[row][col] && grid[row][col] <= high) {
-            items.add(new int[] {0, grid[row][col], row, col});
+            pq.add(new int[] {0, grid[row][col], row, col});
         }
         grid[row][col] = 0;
-        Deque<int[]> q = new ArrayDeque<>();
-        q.offer(new int[] {row, col, 0});
-        int[] dirs = {-1, 0, 1, 0, -1};
-        while (!q.isEmpty()) {
-            int[] p = q.poll();
-            int i = p[0], j = p[1], d = p[2];
-            for (int l = 0; l < 4; ++l) {
-                int x = i + dirs[l], y = j + dirs[l + 1];
-                if (x >= 0 && x < m && y >= 0 && y < n && grid[x][y] > 0) {
-                    if (low <= grid[x][y] && grid[x][y] <= high) {
-                        items.add(new int[] {d + 1, grid[x][y], x, y});
+        final int[] dirs = {-1, 0, 1, 0, -1};
+        for (int step = 1; !q.isEmpty(); ++step) {
+            for (int size = q.size(); size > 0; --size) {
+                int[] curr = q.poll();
+                int x = curr[0], y = curr[1];
+                for (int j = 0; j < 4; j++) {
+                    int nx = x + dirs[j];
+                    int ny = y + dirs[j + 1];
+                    if (0 <= nx && nx < m && 0 <= ny && ny < n && grid[nx][ny] > 0) {
+                        if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                            pq.add(new int[] {step, grid[nx][ny], nx, ny});
+                        }
+                        grid[nx][ny] = 0;
+                        q.offer(new int[] {nx, ny});
                     }
-                    grid[x][y] = 0;
-                    q.offer(new int[] {x, y, d + 1});
                 }
             }
         }
-        items.sort((a, b) -> {
-            if (a[0] != b[0]) {
-                return a[0] - b[0];
-            }
-            if (a[1] != b[1]) {
-                return a[1] - b[1];
-            }
-            if (a[2] != b[2]) {
-                return a[2] - b[2];
-            }
-            return a[3] - b[3];
+
+        pq.sort((a, b) -> {
+            if (a[0] != b[0]) return Integer.compare(a[0], b[0]);
+            if (a[1] != b[1]) return Integer.compare(a[1], b[1]);
+            if (a[2] != b[2]) return Integer.compare(a[2], b[2]);
+            return Integer.compare(a[3], b[3]);
         });
+
         List<List<Integer>> ans = new ArrayList<>();
-        for (int i = 0; i < items.size() && i < k; ++i) {
-            int[] p = items.get(i);
-            ans.add(Arrays.asList(p[2], p[3]));
+        for (int i = 0; i < Math.min(k, pq.size()); i++) {
+            ans.add(List.of(pq.get(i)[2], pq.get(i)[3]));
         }
         return ans;
     }
-}
\ No newline at end of file
+}
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.py b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.py
index d6f839ef00611..354fa88837db3 100644
--- a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.py	
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.py	
@@ -3,20 +3,25 @@ def highestRankedKItems(
         self, grid: List[List[int]], pricing: List[int], start: List[int], k: int
     ) -> List[List[int]]:
         m, n = len(grid), len(grid[0])
-        row, col, low, high = start + pricing
-        items = []
+        row, col = start
+        low, high = pricing
+        q = deque([(row, col)])
+        pq = []
         if low <= grid[row][col] <= high:
-            items.append([0, grid[row][col], row, col])
-        q = deque([(row, col, 0)])
+            pq.append((0, grid[row][col], row, col))
         grid[row][col] = 0
+        dirs = (-1, 0, 1, 0, -1)
+        step = 0
         while q:
-            i, j, d = q.popleft()
-            for a, b in [[0, 1], [0, -1], [1, 0], [-1, 0]]:
-                x, y = i + a, j + b
-                if 0 <= x < m and 0 <= y < n and grid[x][y]:
-                    if low <= grid[x][y] <= high:
-                        items.append([d + 1, grid[x][y], x, y])
-                    q.append((x, y, d + 1))
-                    grid[x][y] = 0
-        items.sort()
-        return [item[2:] for item in items][:k]
+            step += 1
+            for _ in range(len(q)):
+                x, y = q.popleft()
+                for a, b in pairwise(dirs):
+                    nx, ny = x + a, y + b
+                    if 0 <= nx < m and 0 <= ny < n and grid[nx][ny] > 0:
+                        if low <= grid[nx][ny] <= high:
+                            pq.append((step, grid[nx][ny], nx, ny))
+                        grid[nx][ny] = 0
+                        q.append((nx, ny))
+        pq.sort()
+        return [list(x[2:]) for x in pq[:k]]
diff --git a/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.ts b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.ts
new file mode 100644
index 0000000000000..36242f09c5459
--- /dev/null
+++ b/solution/2100-2199/2146.K Highest Ranked Items Within a Price Range/Solution.ts	
@@ -0,0 +1,45 @@
+function highestRankedKItems(
+    grid: number[][],
+    pricing: number[],
+    start: number[],
+    k: number,
+): number[][] {
+    const [m, n] = [grid.length, grid[0].length];
+    const [row, col] = start;
+    const [low, high] = pricing;
+    let q: [number, number][] = [[row, col]];
+    const pq: [number, number, number, number][] = [];
+    if (low <= grid[row][col] && grid[row][col] <= high) {
+        pq.push([0, grid[row][col], row, col]);
+    }
+    grid[row][col] = 0;
+    const dirs = [-1, 0, 1, 0, -1];
+    for (let step = 1; q.length > 0; ++step) {
+        const nq: [number, number][] = [];
+        for (const [x, y] of q) {
+            for (let j = 0; j < 4; j++) {
+                const nx = x + dirs[j];
+                const ny = y + dirs[j + 1];
+                if (nx >= 0 && nx < m && ny >= 0 && ny < n && grid[nx][ny] > 0) {
+                    if (low <= grid[nx][ny] && grid[nx][ny] <= high) {
+                        pq.push([step, grid[nx][ny], nx, ny]);
+                    }
+                    grid[nx][ny] = 0;
+                    nq.push([nx, ny]);
+                }
+            }
+        }
+        q = nq;
+    }
+    pq.sort((a, b) => {
+        if (a[0] !== b[0]) return a[0] - b[0];
+        if (a[1] !== b[1]) return a[1] - b[1];
+        if (a[2] !== b[2]) return a[2] - b[2];
+        return a[3] - b[3];
+    });
+    const ans: number[][] = [];
+    for (let i = 0; i < Math.min(k, pq.length); i++) {
+        ans.push([pq[i][2], pq[i][3]]);
+    }
+    return ans;
+}