C# BFS Solution
Intuition\n Describe your first thoughts on how to solve this problem. To solve the problem of finding the minimum number of moves for the snake to reach the ta
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->To solve the problem of finding the minimum number of moves for the snake to reach the target position in the grid, we can use a breadth-first search (BFS) algorithm. This algorithm will explore all possible moves and rotations of the snake in the grid to find the shortest path to the target.\n____\n\n# Approach\n<!-- Describe your approach to solving the problem. -->//  Initialization: We use a queue to perform the BFS. Each element in the queue represents the snake\'s\n//  current position, its orientation (horizontal or virtical), and the number of moves taken so far.\n//  BFS Loop: We dequeue an element and check if it has reached the target. If so, we return the number\n//  of moves.\n//  Possible Moves: We dequeue an element and check if it has reached the target. If so, we return the \n//  number of moves.\n//  Return result: If we exhaust the queue without finding a solution, we return -1 indicating that there\n//  is no valid path.\n___\n\n# Complexity\n- Time complexity:\n<!-- Add your time complexity here, e.g. $$O(n)$$ -->O(n^2).\n___\n\n- Space complexity:\n<!-- Add your space complexity here, e.g. $$O(n)$$ -->O(n^2).\n___\n\n# Code\n```\nusing System;\nusing System.Collections.Generic;\n\npublic class Solution\n{\n    public int MinimumMoves(int[][] grid)\n    {\n        int n = grid.Length;\n        var visited = new HashSet<(int, int, int)>();\n        var queue = new Queue<(int, int, int, int)>();\n        queue.Enqueue((0, 0, 0, 0));\n        visited.Add((0, 0, 0));\n        \n        while (queue.Count > 0)\n        {\n            var (x, y, state, moves) = queue.Dequeue();\n            \n            if (x == n - 1 && y == n - 2 && state == 0)\n                return moves;\n            \n            // Move right\n            if (state == 0)\n            {\n                if (y + 2 < n && grid[x][y + 2] == 0 && !visited.Contains((x, y + 1, 0)))\n                {\n                    queue.Enqueue((x, y + 1, 0, moves + 1));\n                    visited.Add((x, y + 1, 0));\n                }\n            }\n            else\n            {\n                if (y + 1 < n && grid[x][y + 1] == 0 && grid[x + 1][y + 1] == 0 && !visited.Contains((x, y + 1, 1)))\n                {\n                    queue.Enqueue((x, y + 1, 1, moves + 1));\n                    visited.Add((x, y + 1, 1));\n                }\n            }\n            \n            // Move down\n            if (state == 0)\n            {\n                if (x + 1 < n && grid[x + 1][y] == 0 && grid[x + 1][y + 1] == 0 && !visited.Contains((x + 1, y, 0)))\n                {\n                    queue.Enqueue((x + 1, y, 0, moves + 1));\n                    visited.Add((x + 1, y, 0));\n                }\n            }\n            else\n            {\n                if (x + 2 < n && grid[x + 2][y] == 0 && !visited.Contains((x + 1, y, 1)))\n                {\n                    queue.Enqueue((x + 1, y, 1, moves + 1));\n                    visited.Add((x + 1, y, 1));\n                }\n            }\n            \n            // Rotate clockwise\n            if (state == 0 && x + 1 < n && grid[x + 1][y] == 0 && grid[x + 1][y + 1] == 0 && !visited.Contains((x, y, 1)))\n            {\n                queue.Enqueue((x, y, 1, moves + 1));\n                visited.Add((x, y, 1));\n            }\n            \n            // Rotate counterclockwise\n            if (state == 1 && y + 1 < n && grid[x][y + 1] == 0 && grid[x + 1][y + 1] == 0 && !visited.Contains((x, y, 0)))\n            {\n                queue.Enqueue((x, y, 0, moves + 1));\n                visited.Add((x, y, 0));\n            }\n        }\n        \n        return -1;\n    }\n}\n```
['Array', 'Breadth-First Search', 'Matrix', 'C#']