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leetcode-problemset/leetcode-cn/originData/minimum-penalty-for-a-shop.json
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{
"data": {
"question": {
"questionId": "2576",
"questionFrontendId": "2483",
"categoryTitle": "Algorithms",
"boundTopicId": 1990579,
"title": "Minimum Penalty for a Shop",
"titleSlug": "minimum-penalty-for-a-shop",
"content": "<p>You are given the customer visit log of a shop represented by a <strong>0-indexed</strong> string <code>customers</code> consisting only of characters <code>&#39;N&#39;</code> and <code>&#39;Y&#39;</code>:</p>\n\n<ul>\n\t<li>if the <code>i<sup>th</sup></code> character is <code>&#39;Y&#39;</code>, it means that customers come at the <code>i<sup>th</sup></code> hour</li>\n\t<li>whereas <code>&#39;N&#39;</code> indicates that no customers come at the <code>i<sup>th</sup></code> hour.</li>\n</ul>\n\n<p>If the shop closes at the <code>j<sup>th</sup></code> hour (<code>0 &lt;= j &lt;= n</code>), the <strong>penalty</strong> is calculated as follows:</p>\n\n<ul>\n\t<li>For every hour when the shop is open and no customers come, the penalty increases by <code>1</code>.</li>\n\t<li>For every hour when the shop is closed and customers come, the penalty increases by <code>1</code>.</li>\n</ul>\n\n<p>Return<em> the <strong>earliest</strong> hour at which the shop must be closed to incur a <strong>minimum</strong> penalty.</em></p>\n\n<p><strong>Note</strong> that if a shop closes at the <code>j<sup>th</sup></code> hour, it means the shop is closed at the hour <code>j</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> customers = &quot;YYNY&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> \n- Closing the shop at the 0<sup>th</sup> hour incurs in 1+1+0+1 = 3 penalty.\n- Closing the shop at the 1<sup>st</sup> hour incurs in 0+1+0+1 = 2 penalty.\n- Closing the shop at the 2<sup>nd</sup> hour incurs in 0+0+0+1 = 1 penalty.\n- Closing the shop at the 3<sup>rd</sup> hour incurs in 0+0+1+1 = 2 penalty.\n- Closing the shop at the 4<sup>th</sup> hour incurs in 0+0+1+0 = 1 penalty.\nClosing the shop at 2<sup>nd</sup> or 4<sup>th</sup> hour gives a minimum penalty. Since 2 is earlier, the optimal closing time is 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> customers = &quot;NNNNN&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> It is best to close the shop at the 0<sup>th</sup> hour as no customers arrive.</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> customers = &quot;YYYY&quot;\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> It is best to close the shop at the 4<sup>th</sup> hour as customers arrive at each hour.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= customers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>customers</code> consists only of characters <code>&#39;Y&#39;</code> and <code>&#39;N&#39;</code>.</li>\n</ul>\n",
"translatedTitle": "商店的最少代价",
"translatedContent": "<p>给你一个顾客访问商店的日志,用一个下标从 <strong>0</strong>&nbsp;开始且只包含字符&nbsp;<code>'N'</code> 和&nbsp;<code>'Y'</code>&nbsp;的字符串&nbsp;<code>customers</code>&nbsp;表示:</p>\n\n<ul>\n\t<li>如果第&nbsp;<code>i</code>&nbsp;个字符是&nbsp;<code>'Y'</code>&nbsp;,它表示第&nbsp;<code>i</code>&nbsp;小时有顾客到达。</li>\n\t<li>如果第&nbsp;<code>i</code>&nbsp;个字符是&nbsp;<code>'N'</code>&nbsp;,它表示第 <code>i</code>&nbsp;小时没有顾客到达。</li>\n</ul>\n\n<p>如果商店在第&nbsp;<code>j</code>&nbsp;小时关门(<code>0 &lt;= j &lt;= n</code>),代价按如下方式计算:</p>\n\n<ul>\n\t<li>在开门期间,如果某一个小时没有顾客到达,代价增加 <code>1</code>&nbsp;。</li>\n\t<li>在关门期间,如果某一个小时有顾客到达,代价增加&nbsp;<code>1</code>&nbsp;。</li>\n</ul>\n\n<p>请你返回在确保代价 <strong>最小</strong>&nbsp;的前提下,商店的&nbsp;<strong>最早</strong>&nbsp;关门时间。</p>\n\n<p>注意,商店在第 <code>j</code>&nbsp;小时关门表示在第 <code>j</code> 小时以及之后商店处于关门状态。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>customers = \"YYNY\"\n<b>输出:</b>2\n<b>解释:</b>\n- 第 0 小时关门,总共 1+1+0+1 = 3 代价。\n- 第 1 小时关门,总共 0+1+0+1 = 2 代价。\n- 第 2 小时关门,总共 0+0+0+1 = 1 代价。\n- 第 3 小时关门,总共 0+0+1+1 = 2 代价。\n- 第 4 小时关门,总共 0+0+1+0 = 1 代价。\n在第 2 或第 4 小时关门代价都最小。由于第 2 小时更早,所以最优关门时间是 2 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>customers = \"NNNNN\"\n<b>输出:</b>0\n<b>解释:</b>最优关门时间是 0 ,因为自始至终没有顾客到达。</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<b>输入:</b>customers = \"YYYY\"\n<b>输出:</b>4\n<b>解释:</b>最优关门时间是 4 ,因为每一小时均有顾客到达。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= customers.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>customers</code>&nbsp;只包含字符&nbsp;<code>'Y'</code>&nbsp;和&nbsp;<code>'N'</code>&nbsp;。</li>\n</ul>\n",
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"translatedName": "字符串",
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"hints": [
"At any index, the penalty is the sum of prefix count of N and suffix count of Y.",
"Enumerate all indices and find the minimum such value."
],
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