leetcode-problemset/leetcode-cn/originData/partition-string-into-minimum-beautiful-substrings.json

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            "title": "Partition String Into Minimum Beautiful Substrings",
            "titleSlug": "partition-string-into-minimum-beautiful-substrings",
            "content": "<p>Given a binary string <code>s</code>, partition the string into one or more <strong>substrings</strong> such that each substring is <strong>beautiful</strong>.</p>\n\n<p>A string is <strong>beautiful</strong> if:</p>\n\n<ul>\n\t<li>It doesn&#39;t contain leading zeros.</li>\n\t<li>It&#39;s the <strong>binary</strong> representation of a number that is a power of <code>5</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>minimum</strong> number of substrings in such partition. </em>If it is impossible to partition the string <code>s</code> into beautiful substrings,&nbsp;return <code>-1</code>.</p>\n\n<p>A <strong>substring</strong> is a contiguous sequence of characters in a string.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1011&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We can paritition the given string into [&quot;101&quot;, &quot;1&quot;].\n- The string &quot;101&quot; does not contain leading zeros and is the binary representation of integer 5<sup>1</sup> = 5.\n- The string &quot;1&quot; does not contain leading zeros and is the binary representation of integer 5<sup>0</sup> = 1.\nIt can be shown that 2 is the minimum number of beautiful substrings that s can be partitioned into.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;111&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can paritition the given string into [&quot;1&quot;, &quot;1&quot;, &quot;1&quot;].\n- The string &quot;1&quot; does not contain leading zeros and is the binary representation of integer 5<sup>0</sup> = 1.\nIt can be shown that 3 is the minimum number of beautiful substrings that s can be partitioned into.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;0&quot;\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> We can not partition the given string into beautiful substrings.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 15</code></li>\n\t<li><code>s[i]</code> is either <code>&#39;0&#39;</code> or <code>&#39;1&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "将字符串分割为最少的美丽子字符串",
            "translatedContent": "<p>给你一个二进制字符串&nbsp;<code>s</code>&nbsp;，你需要将字符串分割成一个或者多个&nbsp;<strong>子字符串</strong>&nbsp;&nbsp;，使每个子字符串都是 <strong>美丽</strong>&nbsp;的。</p>\n\n<p>如果一个字符串满足以下条件，我们称它是 <strong>美丽</strong>&nbsp;的：</p>\n\n<ul>\n\t<li>它不包含前导 0 。</li>\n\t<li>它是 <code>5</code>&nbsp;的幂的 <strong>二进制</strong>&nbsp;表示。</li>\n</ul>\n\n<p>请你返回分割后的子字符串的 <strong>最少</strong>&nbsp;数目。如果无法将字符串&nbsp;<code>s</code>&nbsp;分割成美丽子字符串，请你返回 <code>-1</code>&nbsp;。</p>\n\n<p>子字符串是一个字符串中一段连续的字符序列。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>s = \"1011\"\n<b>输出：</b>2\n<b>解释：</b>我们可以将输入字符串分成 [\"101\", \"1\"] 。\n- 字符串 \"101\" 不包含前导 0 ，且它是整数 5<sup>1</sup> = 5 的二进制表示。\n- 字符串 \"1\" 不包含前导 0 ，且它是整数 5<sup>0</sup> = 1 的二进制表示。\n最少可以将 s 分成 2 个美丽子字符串。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>s = \"111\"\n<b>输出：</b>3\n<b>解释：</b>我们可以将输入字符串分成 [\"1\", \"1\", \"1\"] 。\n- 字符串 \"1\" 不包含前导 0 ，且它是整数 5<sup>0</sup> = 1 的二进制表示。\n最少可以将 s 分成 3 个美丽子字符串。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><b>输入：</b>s = \"0\"\n<b>输出：</b>-1\n<b>解释：</b>无法将给定字符串分成任何美丽子字符串。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 15</code></li>\n\t<li><code>s[i]</code>&nbsp;要么是&nbsp;<code>'0'</code>&nbsp;要么是&nbsp;<code>'1'</code> 。</li>\n</ul>\n",
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                "To check if number x is a power of 5 or not, we will divide x by 5 while x > 1 and x mod 5 == 0. After iteration if x == 1, then it was a power of 5.",
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