feat: add solutions to lc problem: No.3552

No.3552.Grid Teleportation Traversal

Author: yanglbme

solution/3500-3599/3552.Grid Teleportation Traversal/README.md

@@ -78,32 +78,281 @@ edit_url: https://github.com/doocs/leetcode/edit/main/solution/3500-3599/3552.Gr
 
 <!-- solution:start -->
 
-### 方法一
+### 方法一：0-1 BFS
+
+我们可以使用 0-1 BFS 来解决这个问题。我们从左上角单元格开始，使用双端队列来存储当前单元格的坐标。每次从队列中取出一个单元格，我们会检查它的四个相邻单元格，如果相邻单元格是空单元格且没有被访问过，我们就将它加入队列，并更新它的距离。
+
+如果相邻单元格是一个传送门，我们就将它加入队列的前面，并更新它的距离。我们还需要维护一个字典来存储每个传送门的位置，以便在使用传送门时能够快速找到它们。
+
+我们还需要一个二维数组来存储每个单元格的距离，初始值为无穷大。我们将起点的距离设置为 0，然后开始 BFS。
+
+在 BFS 的过程中，我们会检查每个单元格是否是终点，如果是，就返回它的距离。如果队列为空，说明无法到达终点，返回 -1。
+
+时间复杂度 $O(m \times n)$，空间复杂度 $O(m \times n)$。其中 $m$ 和 $n$ 分别是矩阵的行数和列数。
 
 <!-- tabs:start -->
 
 #### Python3
 
 ```python
-
+class Solution:
+    def minMoves(self, matrix: List[str]) -> int:
+        m, n = len(matrix), len(matrix[0])
+        g = defaultdict(list)
+        for i, row in enumerate(matrix):
+            for j, c in enumerate(row):
+                if c.isalpha():
+                    g[c].append((i, j))
+        dirs = (-1, 0, 1, 0, -1)
+        dist = [[inf] * n for _ in range(m)]
+        dist[0][0] = 0
+        q = deque([(0, 0)])
+        while q:
+            i, j = q.popleft()
+            d = dist[i][j]
+            if i == m - 1 and j == n - 1:
+                return d
+            c = matrix[i][j]
+            if c in g:
+                for x, y in g[c]:
+                    if d < dist[x][y]:
+                        dist[x][y] = d
+                        q.appendleft((x, y))
+                del g[c]
+            for a, b in pairwise(dirs):
+                x, y = i + a, j + b
+                if (
+                    0 <= x < m
+                    and 0 <= y < n
+                    and matrix[x][y] != "#"
+                    and d + 1 < dist[x][y]
+                ):
+                    dist[x][y] = d + 1
+                    q.append((x, y))
+        return -1
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    public int minMoves(String[] matrix) {
+        int m = matrix.length, n = matrix[0].length();
+        Map<Character, List<int[]>> g = new HashMap<>();
+        for (int i = 0; i < m; i++) {
+            String row = matrix[i];
+            for (int j = 0; j < n; j++) {
+                char c = row.charAt(j);
+                if (Character.isAlphabetic(c)) {
+                    g.computeIfAbsent(c, k -> new ArrayList<>()).add(new int[] {i, j});
+                }
+            }
+        }
+        int[] dirs = {-1, 0, 1, 0, -1};
+        int INF = Integer.MAX_VALUE / 2;
+        int[][] dist = new int[m][n];
+        for (int[] arr : dist) Arrays.fill(arr, INF);
+        dist[0][0] = 0;
+        Deque<int[]> q = new ArrayDeque<>();
+        q.add(new int[] {0, 0});
+        while (!q.isEmpty()) {
+            int[] cur = q.pollFirst();
+            int i = cur[0], j = cur[1];
+            int d = dist[i][j];
+            if (i == m - 1 && j == n - 1) return d;
+            char c = matrix[i].charAt(j);
+            if (g.containsKey(c)) {
+                for (int[] pos : g.get(c)) {
+                    int x = pos[0], y = pos[1];
+                    if (d < dist[x][y]) {
+                        dist[x][y] = d;
+                        q.addFirst(new int[] {x, y});
+                    }
+                }
+                g.remove(c);
+            }
+            for (int idx = 0; idx < 4; idx++) {
+                int a = dirs[idx], b = dirs[idx + 1];
+                int x = i + a, y = j + b;
+                if (0 <= x && x < m && 0 <= y && y < n && matrix[x].charAt(y) != '#'
+                    && d + 1 < dist[x][y]) {
+                    dist[x][y] = d + 1;
+                    q.addLast(new int[] {x, y});
+                }
+            }
+        }
+        return -1;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    int minMoves(vector<string>& matrix) {
+        int m = matrix.size(), n = matrix[0].size();
+        unordered_map<char, vector<pair<int, int>>> g;
+        for (int i = 0; i < m; ++i)
+            for (int j = 0; j < n; ++j) {
+                char c = matrix[i][j];
+                if (isalpha(c)) g[c].push_back({i, j});
+            }
+        int dirs[5] = {-1, 0, 1, 0, -1};
+        int INF = numeric_limits<int>::max() / 2;
+        vector<vector<int>> dist(m, vector<int>(n, INF));
+        dist[0][0] = 0;
+        deque<pair<int, int>> q;
+        q.push_back({0, 0});
+        while (!q.empty()) {
+            auto [i, j] = q.front();
+            q.pop_front();
+            int d = dist[i][j];
+            if (i == m - 1 && j == n - 1) return d;
+            char c = matrix[i][j];
+            if (g.count(c)) {
+                for (auto [x, y] : g[c])
+                    if (d < dist[x][y]) {
+                        dist[x][y] = d;
+                        q.push_front({x, y});
+                    }
+                g.erase(c);
+            }
+            for (int idx = 0; idx < 4; ++idx) {
+                int x = i + dirs[idx], y = j + dirs[idx + 1];
+                if (0 <= x && x < m && 0 <= y && y < n && matrix[x][y] != '#' && d + 1 < dist[x][y]) {
+                    dist[x][y] = d + 1;
+                    q.push_back({x, y});
+                }
+            }
+        }
+        return -1;
+    }
+};
 ```
 
 #### Go
 
 ```go
+type pair struct{ x, y int }
+
+func minMoves(matrix []string) int {
+	m, n := len(matrix), len(matrix[0])
+	g := make(map[rune][]pair)
+	for i := 0; i < m; i++ {
+		for j, c := range matrix[i] {
+			if unicode.IsLetter(c) {
+				g[c] = append(g[c], pair{i, j})
+			}
+		}
+	}
+	dirs := []int{-1, 0, 1, 0, -1}
+	INF := 1 << 30
+	dist := make([][]int, m)
+	for i := range dist {
+		dist[i] = make([]int, n)
+		for j := range dist[i] {
+			dist[i][j] = INF
+		}
+	}
+	dist[0][0] = 0
+	q := list.New()
+	q.PushBack(pair{0, 0})
+	for q.Len() > 0 {
+		cur := q.Remove(q.Front()).(pair)
+		i, j := cur.x, cur.y
+		d := dist[i][j]
+		if i == m-1 && j == n-1 {
+			return d
+		}
+		c := rune(matrix[i][j])
+		if v, ok := g[c]; ok {
+			for _, p := range v {
+				x, y := p.x, p.y
+				if d < dist[x][y] {
+					dist[x][y] = d
+					q.PushFront(pair{x, y})
+				}
+			}
+			delete(g, c)
+		}
+		for idx := 0; idx < 4; idx++ {
+			x, y := i+dirs[idx], j+dirs[idx+1]
+			if 0 <= x && x < m && 0 <= y && y < n && matrix[x][y] != '#' && d+1 < dist[x][y] {
+				dist[x][y] = d + 1
+				q.PushBack(pair{x, y})
+			}
+		}
+	}
+	return -1
+}
+```
 
+#### TypeScript
+
+```ts
+function minMoves(matrix: string[]): number {
+    const m = matrix.length,
+        n = matrix[0].length;
+    const g = new Map<string, [number, number][]>();
+    for (let i = 0; i < m; i++) {
+        for (let j = 0; j < n; j++) {
+            const c = matrix[i][j];
+            if (/^[A-Za-z]$/.test(c)) {
+                if (!g.has(c)) g.set(c, []);
+                g.get(c)!.push([i, j]);
+            }
+        }
+    }
+
+    const dirs = [-1, 0, 1, 0, -1];
+    const INF = Number.MAX_SAFE_INTEGER;
+    const dist: number[][] = Array.from({ length: m }, () => Array(n).fill(INF));
+    dist[0][0] = 0;
+
+    const cap = m * n * 2 + 5;
+    const dq = new Array<[number, number]>(cap);
+    let l = cap >> 1,
+        r = cap >> 1;
+    const pushFront = (v: [number, number]) => {
+        dq[--l] = v;
+    };
+    const pushBack = (v: [number, number]) => {
+        dq[r++] = v;
+    };
+    const popFront = (): [number, number] => dq[l++];
+    const empty = () => l === r;
+
+    pushBack([0, 0]);
+
+    while (!empty()) {
+        const [i, j] = popFront();
+        const d = dist[i][j];
+        if (i === m - 1 && j === n - 1) return d;
+
+        const c = matrix[i][j];
+        if (g.has(c)) {
+            for (const [x, y] of g.get(c)!) {
+                if (d < dist[x][y]) {
+                    dist[x][y] = d;
+                    pushFront([x, y]);
+                }
+            }
+            g.delete(c);
+        }
+
+        for (let idx = 0; idx < 4; idx++) {
+            const x = i + dirs[idx],
+                y = j + dirs[idx + 1];
+            if (0 <= x && x < m && 0 <= y && y < n && matrix[x][y] !== '#' && d + 1 < dist[x][y]) {
+                dist[x][y] = d + 1;
+                pushBack([x, y]);
+            }
+        }
+    }
+    return -1;
+}
 ```
 
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