leetcode-problemset/leetcode-cn/originData/moving-stones-until-consecutive.json

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        "question": {
            "questionId": "1103",
            "questionFrontendId": "1033",
            "categoryTitle": "Algorithms",
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            "title": "Moving Stones Until Consecutive",
            "titleSlug": "moving-stones-until-consecutive",
            "content": "<p>There are three stones in different positions on the X-axis. You are given three integers <code>a</code>, <code>b</code>, and <code>c</code>, the positions of the stones.</p>\n\n<p>In one move, you pick up a stone at an endpoint (i.e., either the lowest or highest position stone), and move it to an unoccupied position between those endpoints. Formally, let&#39;s say the stones are currently at positions <code>x</code>, <code>y</code>, and <code>z</code> with <code>x &lt; y &lt; z</code>. You pick up the stone at either position <code>x</code> or position <code>z</code>, and move that stone to an integer position <code>k</code>, with <code>x &lt; k &lt; z</code> and <code>k != y</code>.</p>\n\n<p>The game ends when you cannot make any more moves (i.e., the stones are in three consecutive positions).</p>\n\n<p>Return <em>an integer array </em><code>answer</code><em> of length </em><code>2</code><em> where</em>:</p>\n\n<ul>\n\t<li><code>answer[0]</code> <em>is the minimum number of moves you can play, and</em></li>\n\t<li><code>answer[1]</code> <em>is the maximum number of moves you can play</em>.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 1, b = 2, c = 5\n<strong>Output:</strong> [1,2]\n<strong>Explanation:</strong> Move the stone from 5 to 3, or move the stone from 5 to 4 to 3.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 4, b = 3, c = 2\n<strong>Output:</strong> [0,0]\n<strong>Explanation:</strong> We cannot make any moves.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> a = 3, b = 5, c = 1\n<strong>Output:</strong> [1,2]\n<strong>Explanation:</strong> Move the stone from 1 to 4; or move the stone from 1 to 2 to 4.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= a, b, c &lt;= 100</code></li>\n\t<li><code>a</code>, <code>b</code>, and <code>c</code> have different values.</li>\n</ul>\n",
            "translatedTitle": "移动石子直到连续",
            "translatedContent": "<p>三枚石子放置在数轴上，位置分别为 <code>a</code>，<code>b</code>，<code>c</code>。</p>\n\n<p>每一回合，你可以从两端之一拿起一枚石子（位置最大或最小），并将其放入两端之间的任一空闲位置。形式上，假设这三枚石子当前分别位于位置 <code>x, y, z</code> 且 <code>x < y < z</code>。那么就可以从位置 <code>x</code> 或者是位置 <code>z</code> 拿起一枚石子，并将该石子移动到某一整数位置 <code>k</code> 处，其中 <code>x < k < z</code> 且 <code>k != y</code>。</p>\n\n<p>当你无法进行任何移动时，即，这些石子的位置连续时，游戏结束。</p>\n\n<p>要使游戏结束，你可以执行的最小和最大移动次数分别是多少？ 以长度为 2 的数组形式返回答案：<code>answer = [minimum_moves, maximum_moves]</code></p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>a = 1, b = 2, c = 5\n<strong>输出：</strong>[1, 2]\n<strong>解释：</strong>将石子从 5 移动到 4 再移动到 3，或者我们可以直接将石子移动到 3。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>a = 4, b = 3, c = 2\n<strong>输出：</strong>[0, 0]\n<strong>解释：</strong>我们无法进行任何移动。\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ol>\n\t<li><code>1 <= a <= 100</code></li>\n\t<li><code>1 <= b <= 100</code></li>\n\t<li><code>1 <= c <= 100</code></li>\n\t<li><code>a != b, b != c, c != a</code></li>\n</ol>\n",
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                "For the minimum:  We can always do it in at most 2 moves, by moving one stone next to another, then the third stone next to the other two.  When can we do it in 1 move?  0 moves?\r\n\r\nFor the maximum:  Every move, the maximum position minus the minimum position must decrease by at least 1."
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