leetcode-problemset/leetcode-cn/originData/minimum-jumps-to-reach-home.json

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        "question": {
            "questionId": "1757",
            "questionFrontendId": "1654",
            "categoryTitle": "Algorithms",
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            "title": "Minimum Jumps to Reach Home",
            "titleSlug": "minimum-jumps-to-reach-home",
            "content": "<p>A certain bug&#39;s home is on the x-axis at position <code>x</code>. Help them get there from position <code>0</code>.</p>\n\n<p>The bug jumps according to the following rules:</p>\n\n<ul>\n\t<li>It can jump exactly <code>a</code> positions <strong>forward</strong> (to the right).</li>\n\t<li>It can jump exactly <code>b</code> positions <strong>backward</strong> (to the left).</li>\n\t<li>It cannot jump backward twice in a row.</li>\n\t<li>It cannot jump to any <code>forbidden</code> positions.</li>\n</ul>\n\n<p>The bug may jump forward <strong>beyond</strong> its home, but it <strong>cannot jump</strong> to positions numbered with <strong>negative</strong> integers.</p>\n\n<p>Given an array of integers <code>forbidden</code>, where <code>forbidden[i]</code> means that the bug cannot jump to the position <code>forbidden[i]</code>, and integers <code>a</code>, <code>b</code>, and <code>x</code>, return <em>the minimum number of jumps needed for the bug to reach its home</em>. If there is no possible sequence of jumps that lands the bug on position <code>x</code>, return <code>-1.</code></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> forbidden = [14,4,18,1,15], a = 3, b = 15, x = 9\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> 3 jumps forward (0 -&gt; 3 -&gt; 6 -&gt; 9) will get the bug home.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> forbidden = [8,3,16,6,12,20], a = 15, b = 13, x = 11\n<strong>Output:</strong> -1\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> forbidden = [1,6,2,14,5,17,4], a = 16, b = 9, x = 7\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> One jump forward (0 -&gt; 16) then one jump backward (16 -&gt; 7) will get the bug home.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= forbidden.length &lt;= 1000</code></li>\n\t<li><code>1 &lt;= a, b, forbidden[i] &lt;= 2000</code></li>\n\t<li><code>0 &lt;= x &lt;= 2000</code></li>\n\t<li>All the elements in <code>forbidden</code> are distinct.</li>\n\t<li>Position <code>x</code> is not forbidden.</li>\n</ul>\n",
            "translatedTitle": "到家的最少跳跃次数",
            "translatedContent": "<p>有一只跳蚤的家在数轴上的位置 <code>x</code> 处。请你帮助它从位置 <code>0</code> 出发，到达它的家。</p>\n\n<p>跳蚤跳跃的规则如下：</p>\n\n<ul>\n\t<li>它可以 <strong>往前</strong> 跳恰好 <code>a</code> 个位置（即往右跳）。</li>\n\t<li>它可以 <strong>往后</strong> 跳恰好 <code>b</code> 个位置（即往左跳）。</li>\n\t<li>它不能 <strong>连续</strong> 往后跳 <code>2</code> 次。</li>\n\t<li>它不能跳到任何 <code>forbidden</code> 数组中的位置。</li>\n</ul>\n\n<p>跳蚤可以往前跳 <strong>超过</strong> 它的家的位置，但是它 <strong>不能跳到负整数</strong> 的位置。</p>\n\n<p>给你一个整数数组 <code>forbidden</code> ，其中 <code>forbidden[i]</code> 是跳蚤不能跳到的位置，同时给你整数 <code>a</code>， <code>b</code> 和 <code>x</code> ，请你返回跳蚤到家的最少跳跃次数。如果没有恰好到达 <code>x</code> 的可行方案，请你返回 <code>-1</code> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<b>输入：</b>forbidden = [14,4,18,1,15], a = 3, b = 15, x = 9\n<b>输出：</b>3\n<b>解释：</b>往前跳 3 次（0 -> 3 -> 6 -> 9），跳蚤就到家了。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<b>输入：</b>forbidden = [8,3,16,6,12,20], a = 15, b = 13, x = 11\n<b>输出：</b>-1\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<b>输入：</b>forbidden = [1,6,2,14,5,17,4], a = 16, b = 9, x = 7\n<b>输出：</b>2\n<b>解释：</b>往前跳一次（0 -> 16），然后往回跳一次（16 -> 7），跳蚤就到家了。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= forbidden.length <= 1000</code></li>\n\t<li><code>1 <= a, b, forbidden[i] <= 2000</code></li>\n\t<li><code>0 <= x <= 2000</code></li>\n\t<li><code>forbidden</code> 中所有位置互不相同。</li>\n\t<li>位置 <code>x</code> 不在 <code>forbidden</code> 中。</li>\n</ul>\n",
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                "Think of the line as a graph",
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