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"categoryTitle": "Algorithms",
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"title": "Minimum Number of Food Buckets to Feed the Hamsters",
"titleSlug": "minimum-number-of-food-buckets-to-feed-the-hamsters",
"content": "<p>You are given a <strong>0-indexed</strong> string <code>hamsters</code> where <code>hamsters[i]</code> is either:</p>\n\n<ul>\n\t<li><code>&#39;H&#39;</code> indicating that there is a hamster at index <code>i</code>, or</li>\n\t<li><code>&#39;.&#39;</code> indicating that index <code>i</code> is empty.</li>\n</ul>\n\n<p>You will add some number of food buckets at the empty indices in order to feed the hamsters. A hamster can be fed if there is at least one food bucket to its left or to its right. More formally, a hamster at index <code>i</code> can be fed if you place a food bucket at index <code>i - 1</code> <strong>and/or</strong> at index <code>i + 1</code>.</p>\n\n<p>Return <em>the minimum number of food buckets you should <strong>place at empty indices</strong> to feed all the hamsters or </em><code>-1</code><em> if it is impossible to feed all of them</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/11/01/example1.png\" style=\"width: 482px; height: 162px;\" />\n<pre>\n<strong>Input:</strong> hamsters = &quot;H..H&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We place two food buckets at indices 1 and 2.\nIt can be shown that if we place only one food bucket, one of the hamsters will not be fed.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/11/01/example2.png\" style=\"width: 602px; height: 162px;\" />\n<pre>\n<strong>Input:</strong> hamsters = &quot;.H.H.&quot;\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We place one food bucket at index 2.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/11/01/example3.png\" style=\"width: 602px; height: 162px;\" />\n<pre>\n<strong>Input:</strong> hamsters = &quot;.HHH.&quot;\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> If we place a food bucket at every empty index as shown, the hamster at index 2 will not be able to eat.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= hamsters.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>hamsters[i]</code> is either<code>&#39;H&#39;</code> or <code>&#39;.&#39;</code>.</li>\n</ul>\n",
"translatedTitle": "从房屋收集雨水需要的最少水桶数",
"translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的字符串&nbsp;<code>street</code>&nbsp;。<code>street</code>&nbsp;中每个字符要么是表示房屋的&nbsp;<code>'H'</code> ,要么是表示空位的&nbsp;<code>'.'</code>&nbsp;。</p>\n\n<p>你可以在 <strong>空位</strong>&nbsp;放置水桶,从相邻的房屋收集雨水。位置在 <code>i - 1</code>&nbsp;<strong>或者</strong> <code>i + 1</code>&nbsp;的水桶可以收集位置为 <code>i</code>&nbsp;处房屋的雨水。一个水桶如果相邻两个位置都有房屋,那么它可以收集 <strong>两个</strong> 房屋的雨水。</p>\n\n<p>在确保 <strong>每个</strong>&nbsp;房屋旁边都 <strong>至少</strong>&nbsp;有一个水桶的前提下,请你返回需要的 <strong>最少</strong>&nbsp;水桶数。如果无解请返回 <code>-1</code>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>street = \"H..H\"\n<b>输出:</b>2\n<strong>解释:</strong>\n我们可以在下标为 1 和 2 处放水桶。\n\"H..H\" -&gt; \"HBBH\"'B' 表示放置水桶)。\n下标为 0 处的房屋右边有水桶,下标为 3 处的房屋左边有水桶。\n所以每个房屋旁边都至少有一个水桶收集雨水。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>street = \".H.H.\"\n<b>输出:</b>1\n<strong>解释:</strong>\n我们可以在下标为 2 处放置一个水桶。\n\".H.H.\" -&gt; \".HBH.\"'B' 表示放置水桶)。\n下标为 1 处的房屋右边有水桶,下标为 3 处的房屋左边有水桶。\n所以每个房屋旁边都至少有一个水桶收集雨水。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><b>输入:</b>street = \".HHH.\"\n<b>输出:</b>-1\n<strong>解释:</strong>\n没有空位可以放置水桶收集下标为 2 处的雨水。\n所以没有办法收集所有房屋的雨水。\n</pre>\n\n<p><strong>示例 4</strong></p>\n\n<pre><b>输入:</b>street = \"H\"\n<b>输出:</b>-1\n<strong>解释:</strong>\n没有空位放置水桶。\n所以没有办法收集所有房屋的雨水。\n</pre>\n\n<p><strong>示例 5</strong></p>\n\n<pre><b>输入:</b>street = \".\"\n<b>输出:</b>0\n<strong>解释:</strong>\n没有房屋需要收集雨水。\n所以需要 0 个水桶。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= street.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>street[i]</code>&nbsp;要么是&nbsp;<code>'H'</code>&nbsp;,要么是&nbsp;<code>'.'</code> 。</li>\n</ul>\n",
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"When is it impossible to collect the rainwater from all the houses?",
"When one or more houses do not have an empty space adjacent to it.",
"Assuming the rainwater from all previous houses is collected. If there is a house at index i and you are able to place a bucket at index i - 1 or i + 1, where should you put it?",
"It is always better to place a bucket at index i + 1 because it can collect the rainwater from the next house as well."
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