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"categoryTitle": "Algorithms",
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"title": "Minimum Moves to Reach Target Score",
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"content": "<p>You are playing a game with integers. You start with the integer <code>1</code> and you want to reach the integer <code>target</code>.</p>\n\n<p>In one move, you can either:</p>\n\n<ul>\n\t<li><strong>Increment</strong> the current integer by one (i.e., <code>x = x + 1</code>).</li>\n\t<li><strong>Double</strong> the current integer (i.e., <code>x = 2 * x</code>).</li>\n</ul>\n\n<p>You can use the <strong>increment</strong> operation <strong>any</strong> number of times, however, you can only use the <strong>double</strong> operation <strong>at most</strong> <code>maxDoubles</code> times.</p>\n\n<p>Given the two integers <code>target</code> and <code>maxDoubles</code>, return <em>the minimum number of moves needed to reach </em><code>target</code><em> starting with </em><code>1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> target = 5, maxDoubles = 0\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> Keep incrementing by 1 until you reach target.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> target = 19, maxDoubles = 2\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> Initially, x = 1\nIncrement 3 times so x = 4\nDouble once so x = 8\nIncrement once so x = 9\nDouble again so x = 18\nIncrement once so x = 19\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> target = 10, maxDoubles = 4\n<strong>Output:</strong> 4\n<strong>Explanation:</strong><b> </b>Initially, x = 1\nIncrement once so x = 2\nDouble once so x = 4\nIncrement once so x = 5\nDouble again so x = 10\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= target &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= maxDoubles &lt;= 100</code></li>\n</ul>\n",
"translatedTitle": "得到目标值的最少行动次数",
"translatedContent": "<p>你正在玩一个整数游戏。从整数 <code>1</code> 开始,期望得到整数 <code>target</code> 。</p>\n\n<p>在一次行动中,你可以做下述两种操作之一:</p>\n\n<ul>\n\t<li><strong>递增</strong>,将当前整数的值加 1 <code>x = x + 1</code>)。</li>\n\t<li><strong>加倍</strong>,使当前整数的值翻倍(即,<code>x = 2 * x</code>)。</li>\n</ul>\n\n<p>在整个游戏过程中,你可以使用 <strong>递增</strong> 操作 <strong>任意</strong> 次数。但是只能使用 <strong>加倍</strong> 操作 <strong>至多</strong> <code>maxDoubles</code> 次。</p>\n\n<p>给你两个整数 <code>target</code> 和 <code>maxDoubles</code> ,返回从 1 开始得到<em> </em><code>target</code><em> </em>需要的最少行动次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><strong>输入:</strong>target = 5, maxDoubles = 0\n<strong>输出:</strong>4\n<strong>解释:</strong>一直递增 1 直到得到 target 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><strong>输入:</strong>target = 19, maxDoubles = 2\n<strong>输出:</strong>7\n<strong>解释:</strong>最初x = 1 。\n递增 3 次x = 4 。\n加倍 1 次x = 8 。\n递增 1 次x = 9 。\n加倍 1 次x = 18 。\n递增 1 次x = 19 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre><strong>输入:</strong>target = 10, maxDoubles = 4\n<strong>输出:</strong>4\n<strong>解释:</strong>\n最初x = 1 。 \n递增 1 次x = 2 。 \n加倍 1 次x = 4 。 \n递增 1 次x = 5 。 \n加倍 1 次x = 10 。 \n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= target &lt;= 10<sup>9</sup></code></li>\n\t<li><code>0 &lt;= maxDoubles &lt;= 100</code></li>\n</ul>\n",
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"Solve the opposite problem: start at the given score and move to 1.",
"It is better to use the move of the second type once we can to lose more scores fast."
],
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