leetcode-problemset/leetcode-cn/originData/minimum-operations-to-make-the-integer-zero.json

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            "title": "Minimum Operations to Make the Integer Zero",
            "titleSlug": "minimum-operations-to-make-the-integer-zero",
            "content": "<p>You are given two integers <code>num1</code> and <code>num2</code>.</p>\n\n<p>In one operation, you can choose integer <code>i</code> in the range <code>[0, 60]</code> and subtract <code>2<sup>i</sup> + num2</code> from <code>num1</code>.</p>\n\n<p>Return <em>the integer denoting the <strong>minimum</strong> number of operations needed to make</em> <code>num1</code> <em>equal to</em> <code>0</code>.</p>\n\n<p>If it is impossible to make <code>num1</code> equal to <code>0</code>, return <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> num1 = 3, num2 = -2\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can make 3 equal to 0 with the following operations:\n- We choose i = 2 and substract 2<sup>2</sup> + (-2) from 3, 3 - (4 + (-2)) = 1.\n- We choose i = 2 and substract 2<sup>2</sup>&nbsp;+ (-2) from 1, 1 - (4 + (-2)) = -1.\n- We choose i = 0 and substract 2<sup>0</sup>&nbsp;+ (-2) from -1, (-1) - (1 + (-2)) = 0.\nIt can be proven, that 3 is the minimum number of operations that we need to perform.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> num1 = 5, num2 = 7\n<strong>Output:</strong> -1\n<strong>Explanation:</strong> It can be proven, that it is impossible to make 5 equal to 0 with the given operation.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= num1 &lt;= 10<sup>9</sup></code></li>\n\t<li><code><font face=\"monospace\">-10<sup>9</sup>&nbsp;&lt;= num2 &lt;= 10<sup>9</sup></font></code></li>\n</ul>\n",
            "translatedTitle": "得到整数零需要执行的最少操作数",
            "translatedContent": "<p>给你两个整数：<code>num1</code> 和 <code>num2</code> 。</p>\n\n<p>在一步操作中，你需要从范围&nbsp;<code>[0, 60]</code> 中选出一个整数 <code>i</code> ，并从 <code>num1</code> 减去 <code>2<sup>i</sup> + num2</code> 。</p>\n\n<p>请你计算，要想使 <code>num1</code> 等于 <code>0</code> 需要执行的最少操作数，并以整数形式返回。</p>\n\n<p>如果无法使 <code>num1</code> 等于 <code>0</code> ，返回 <code>-1</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>num1 = 3, num2 = -2\n<strong>输出：</strong>3\n<strong>解释：</strong>可以执行下述步骤使 3 等于 0 ：\n- 选择 i = 2 ，并从 3 减去 2<sup>2</sup> + (-2) ，num1 = 3 - (4 + (-2)) = 1 。\n- 选择 i = 2 ，并从 1 减去 2<sup>2</sup> + (-2) ，num1 = 1 - (4 + (-2)) = -1 。\n- 选择 i = 0 ，并从 -1 减去 2<sup>0</sup>&nbsp;+ (-2) ，num1 = (-1) - (1 + (-2)) = 0 。\n可以证明 3 是需要执行的最少操作数。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>num1 = 5, num2 = 7\n<strong>输出：</strong>-1\n<strong>解释：</strong>可以证明，执行操作无法使 5 等于 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= num1 &lt;= 10<sup>9</sup></code></li>\n\t<li><code>-10<sup>9</sup>&nbsp;&lt;= num2 &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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                "If we want to make integer n equal to 0 by only subtracting powers of 2 from n, in how many operations can we achieve it?",
                "We need at least - the number of bits in the binary representation of n, and at most - n.",
                "Notice that, if it is possible to make num1 equal to 0, then we need at most 60 operations.",
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