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"categoryTitle": "Algorithms",
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"title": "Minimum Bit Flips to Convert Number",
"titleSlug": "minimum-bit-flips-to-convert-number",
"content": "<p>A <strong>bit flip</strong> of a number <code>x</code> is choosing a bit in the binary representation of <code>x</code> and <strong>flipping</strong> it from either <code>0</code> to <code>1</code> or <code>1</code> to <code>0</code>.</p>\n\n<ul>\n\t<li>For example, for <code>x = 7</code>, the binary representation is <code>111</code> and we may choose any bit (including any leading zeros not shown) and flip it. We can flip the first bit from the right to get <code>110</code>, flip the second bit from the right to get <code>101</code>, flip the fifth bit from the right (a leading zero) to get <code>10111</code>, etc.</li>\n</ul>\n\n<p>Given two integers <code>start</code> and <code>goal</code>, return<em> the <strong>minimum</strong> number of <strong>bit flips</strong> to convert </em><code>start</code><em> to </em><code>goal</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = 10, goal = 7\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The binary representation of 10 and 7 are 1010 and 0111 respectively. We can convert 10 to 7 in 3 steps:\n- Flip the first bit from the right: 101<u>0</u> -&gt; 101<u>1</u>.\n- Flip the third bit from the right: 1<u>0</u>11 -&gt; 1<u>1</u>11.\n- Flip the fourth bit from the right: <u>1</u>111 -&gt; <u>0</u>111.\nIt can be shown we cannot convert 10 to 7 in less than 3 steps. Hence, we return 3.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> start = 3, goal = 4\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The binary representation of 3 and 4 are 011 and 100 respectively. We can convert 3 to 4 in 3 steps:\n- Flip the first bit from the right: 01<u>1</u> -&gt; 01<u>0</u>.\n- Flip the second bit from the right: 0<u>1</u>0 -&gt; 0<u>0</u>0.\n- Flip the third bit from the right: <u>0</u>00 -&gt; <u>1</u>00.\nIt can be shown we cannot convert 3 to 4 in less than 3 steps. Hence, we return 3.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= start, goal &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "转换数字的最少位翻转次数",
"translatedContent": "<p>一次 <strong>位翻转</strong>&nbsp;定义为将数字&nbsp;<code>x</code>&nbsp;二进制中的一个位进行 <strong>翻转</strong>&nbsp;操作,即将&nbsp;<code>0</code>&nbsp;变成&nbsp;<code>1</code>&nbsp;,或者将&nbsp;<code>1</code>&nbsp;变成&nbsp;<code>0</code>&nbsp;。</p>\n\n<ul>\n\t<li>比方说,<code>x = 7</code>&nbsp;,二进制表示为&nbsp;<code>111</code>&nbsp;,我们可以选择任意一个位(包含没有显示的前导 0 )并进行翻转。比方说我们可以翻转最右边一位得到&nbsp;<code>110</code>&nbsp;,或者翻转右边起第二位得到&nbsp;<code>101</code>&nbsp;,或者翻转右边起第五位(这一位是前导 0 )得到&nbsp;<code>10111</code>&nbsp;等等。</li>\n</ul>\n\n<p>给你两个整数&nbsp;<code>start</code> 和&nbsp;<code>goal</code>&nbsp;,请你返回将&nbsp;<code>start</code>&nbsp;转变成&nbsp;<code>goal</code>&nbsp;的&nbsp;<strong>最少位翻转</strong>&nbsp;次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<b>输入:</b>start = 10, goal = 7\n<b>输出:</b>3\n<b>解释:</b>10 和 7 的二进制表示分别为 1010 和 0111 。我们可以通过 3 步将 10 转变成 7 \n- 翻转右边起第一位得到101<strong><em>0</em></strong> -&gt; 101<strong><em>1 。</em></strong>\n- 翻转右边起第三位1<strong><em>0</em></strong>11 -&gt; 1<strong><em>1</em></strong>11 。\n- 翻转右边起第四位:<strong><em>1</em></strong>111 -&gt; <strong><em>0</em></strong>111 。\n我们无法在 3 步内将 10 转变成 7 。所以我们返回 3 。</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>start = 3, goal = 4\n<b>输出:</b>3\n<b>解释:</b>3 和 4 的二进制表示分别为 011 和 100 。我们可以通过 3 步将 3 转变成 4 \n- 翻转右边起第一位01<strong><em>1</em></strong> -&gt; 01<em><strong>0 </strong></em>。\n- 翻转右边起第二位0<strong><em>1</em></strong>0 -&gt; 0<strong><em>0</em></strong>0 。\n- 翻转右边起第三位:<strong><em>0</em></strong>00 -&gt; <strong><em>1</em></strong>00 。\n我们无法在 3 步内将 3 变成 4 。所以我们返回 3 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>0 &lt;= start, goal &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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