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"content": "<p>There is a <strong>3 lane road</strong> of length <code>n</code> that consists of <code>n + 1</code> <strong>points</strong> labeled from <code>0</code> to <code>n</code>. A frog <strong>starts</strong> at point <code>0</code> in the <strong>second </strong>lane<strong> </strong>and wants to jump to point <code>n</code>. However, there could be obstacles along the way.</p>\n\n<p>You are given an array <code>obstacles</code> of length <code>n + 1</code> where each <code>obstacles[i]</code> (<strong>ranging from 0 to 3</strong>) describes an obstacle on the lane <code>obstacles[i]</code> at point <code>i</code>. If <code>obstacles[i] == 0</code>, there are no obstacles at point <code>i</code>. There will be <strong>at most one</strong> obstacle in the 3 lanes at each point.</p>\n\n<ul>\n\t<li>For example, if <code>obstacles[2] == 1</code>, then there is an obstacle on lane 1 at point 2.</li>\n</ul>\n\n<p>The frog can only travel from point <code>i</code> to point <code>i + 1</code> on the same lane if there is not an obstacle on the lane at point <code>i + 1</code>. To avoid obstacles, the frog can also perform a <strong>side jump</strong> to jump to <strong>another</strong> lane (even if they are not adjacent) at the <strong>same</strong> point if there is no obstacle on the new lane.</p>\n\n<ul>\n\t<li>For example, the frog can jump from lane 3 at point 3 to lane 1 at point 3.</li>\n</ul>\n\n<p>Return<em> the <strong>minimum number of side jumps</strong> the frog needs to reach <strong>any lane</strong> at point n starting from lane <code>2</code> at point 0.</em></p>\n\n<p><strong>Note:</strong> There will be no obstacles on points <code>0</code> and <code>n</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/25/ic234-q3-ex1.png\" style=\"width: 500px; height: 244px;\" />\n<pre>\n<strong>Input:</strong> obstacles = [0,1,2,3,0]\n<strong>Output:</strong> 2 \n<strong>Explanation:</strong> The optimal solution is shown by the arrows above. There are 2 side jumps (red arrows).\nNote that the frog can jump over obstacles only when making side jumps (as shown at point 2).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/25/ic234-q3-ex2.png\" style=\"width: 500px; height: 196px;\" />\n<pre>\n<strong>Input:</strong> obstacles = [0,1,1,3,3,0]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There are no obstacles on lane 2. No side jumps are required.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/25/ic234-q3-ex3.png\" style=\"width: 500px; height: 196px;\" />\n<pre>\n<strong>Input:</strong> obstacles = [0,2,1,0,3,0]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The optimal solution is shown by the arrows above. There are 2 side jumps.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>obstacles.length == n + 1</code></li>\n\t<li><code>1 <= n <= 5 * 10<sup>5</sup></code></li>\n\t<li><code>0 <= obstacles[i] <= 3</code></li>\n\t<li><code>obstacles[0] == obstacles[n] == 0</code></li>\n</ul>\n",
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"At a given point, there are only 3 possible states for where the frog can be.",
"Check all the ways to move from one point to the next and update the minimum side jumps for each lane."
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