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check-if-there-is-a-valid-path-in-a-grid.json
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"title": "Check if There is a Valid Path in a Grid",
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"content": "<p>You are given an <code>m x n</code> <code>grid</code>. Each cell of <code>grid</code> represents a street. The street of <code>grid[i][j]</code> can be:</p>\n\n<ul>\n\t<li><code>1</code> which means a street connecting the left cell and the right cell.</li>\n\t<li><code>2</code> which means a street connecting the upper cell and the lower cell.</li>\n\t<li><code>3</code> which means a street connecting the left cell and the lower cell.</li>\n\t<li><code>4</code> which means a street connecting the right cell and the lower cell.</li>\n\t<li><code>5</code> which means a street connecting the left cell and the upper cell.</li>\n\t<li><code>6</code> which means a street connecting the right cell and the upper cell.</li>\n</ul>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/03/05/main.png\" style=\"width: 450px; height: 708px;\" />\n<p>You will initially start at the street of the upper-left cell <code>(0, 0)</code>. A valid path in the grid is a path that starts from the upper left cell <code>(0, 0)</code> and ends at the bottom-right cell <code>(m - 1, n - 1)</code>. <strong>The path should only follow the streets</strong>.</p>\n\n<p><strong>Notice</strong> that you are <strong>not allowed</strong> to change any street.</p>\n\n<p>Return <code>true</code><em> if there is a valid path in the grid or </em><code>false</code><em> otherwise</em>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/03/05/e1.png\" style=\"width: 455px; height: 311px;\" />\n<pre>\n<strong>Input:</strong> grid = [[2,4,3],[6,5,2]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> As shown you can start at cell (0, 0) and visit all the cells of the grid to reach (m - 1, n - 1).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/03/05/e2.png\" style=\"width: 455px; height: 293px;\" />\n<pre>\n<strong>Input:</strong> grid = [[1,2,1],[1,2,1]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> As shown you the street at cell (0, 0) is not connected with any street of any other cell and you will get stuck at cell (0, 0)\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> grid = [[1,1,2]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> You will get stuck at cell (0, 1) and you cannot reach cell (0, 2).\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == grid.length</code></li>\n\t<li><code>n == grid[i].length</code></li>\n\t<li><code>1 <= m, n <= 300</code></li>\n\t<li><code>1 <= grid[i][j] <= 6</code></li>\n</ul>\n",
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"hints": [
"Start DFS from the node (0, 0) and follow the path till you stop.",
"When you reach a cell and cannot move anymore check that this cell is (m - 1, n - 1) or not."
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