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"categoryTitle": "Algorithms",
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"title": "Elimination Game",
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"content": "<p>You have a list <code>arr</code> of all integers in the range <code>[1, n]</code> sorted in a strictly increasing order. Apply the following algorithm on <code>arr</code>:</p>\n\n<ul>\n\t<li>Starting from left to right, remove the first number and every other number afterward until you reach the end of the list.</li>\n\t<li>Repeat the previous step again, but this time from right to left, remove the rightmost number and every other number from the remaining numbers.</li>\n\t<li>Keep repeating the steps again, alternating left to right and right to left, until a single number remains.</li>\n</ul>\n\n<p>Given the integer <code>n</code>, return <em>the last number that remains in</em> <code>arr</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 9\n<strong>Output:</strong> 6\n<strong>Explanation:</strong>\narr = [<u>1</u>, 2, <u>3</u>, 4, <u>5</u>, 6, <u>7</u>, 8, <u>9</u>]\narr = [2, <u>4</u>, 6, <u>8</u>]\narr = [<u>2</u>, 6]\narr = [6]\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1\n<strong>Output:</strong> 1\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "消除游戏",
"translatedContent": "<p>列表 <code>arr</code> 由在范围 <code>[1, n]</code> 中的所有整数组成,并按严格递增排序。请你对 <code>arr</code> 应用下述算法:</p>\n\n<div class=\"original__bRMd\">\n<div>\n<ul>\n\t<li>从左到右,删除第一个数字,然后每隔一个数字删除一个,直到到达列表末尾。</li>\n\t<li>重复上面的步骤,但这次是从右到左。也就是,删除最右侧的数字,然后剩下的数字每隔一个删除一个。</li>\n\t<li>不断重复这两步,从左到右和从右到左交替进行,直到只剩下一个数字。</li>\n</ul>\n\n<p>给你整数 <code>n</code> ,返回 <code>arr</code> 最后剩下的数字。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 9\n<strong>输出:</strong>6\n<strong>解释:</strong>\narr = [<strong><em>1</em></strong>, 2, <em><strong>3</strong></em>, 4, <em><strong>5</strong></em>, 6, <em><strong>7</strong></em>, 8, <em><strong>9</strong></em>]\narr = [2, <em><strong>4</strong></em>, 6, <em><strong>8</strong></em>]\narr = [<em><strong>2</strong></em>, 6]\narr = [6]\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>n = 1\n<strong>输出:</strong>1\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>9</sup></code></li>\n</ul>\n</div>\n</div>\n",
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