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leetcode-problemset/leetcode/originData/minimum-jumps-to-reach-home.json
2023-12-09 19:57:46 +08:00

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{
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"title": "Minimum Jumps to Reach Home",
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"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",
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"code": "class Solution(object):\n def minimumJumps(self, forbidden, a, b, x):\n \"\"\"\n :type forbidden: List[int]\n :type a: int\n :type b: int\n :type x: int\n :rtype: int\n \"\"\"\n ",
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"code": "defmodule Solution do\n @spec minimum_jumps(forbidden :: [integer], a :: integer, b :: integer, x :: integer) :: integer\n def minimum_jumps(forbidden, a, b, x) do\n \n end\nend",
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"hints": [
"Think of the line as a graph",
"to handle the no double back jumps condition you can handle it by holding the state of your previous jump"
],
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