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leetcode-problemset/leetcode/originData/number-of-steps-to-reduce-a-number-in-binary-representation-to-one.json
2022-05-02 23:44:12 +08:00

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{
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"title": "Number of Steps to Reduce a Number in Binary Representation to One",
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"content": "<p>Given the binary representation of an integer as a string <code>s</code>, return <em>the number of steps to reduce it to </em><code>1</code><em> under the following rules</em>:</p>\n\n<ul>\n\t<li>\n\t<p>If the current number is even, you have to divide it by <code>2</code>.</p>\n\t</li>\n\t<li>\n\t<p>If the current number is odd, you have to add <code>1</code> to it.</p>\n\t</li>\n</ul>\n\n<p>It is guaranteed that you can always reach one for all test cases.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1101&quot;\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> &quot;1101&quot; corressponds to number 13 in their decimal representation.\nStep 1) 13 is odd, add 1 and obtain 14.&nbsp;\nStep 2) 14 is even, divide by 2 and obtain 7.\nStep 3) 7 is odd, add 1 and obtain 8.\nStep 4) 8 is even, divide by 2 and obtain 4.&nbsp; \nStep 5) 4 is even, divide by 2 and obtain 2.&nbsp;\nStep 6) 2 is even, divide by 2 and obtain 1.&nbsp; \n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;10&quot;\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> &quot;10&quot; corressponds to number 2 in their decimal representation.\nStep 1) 2 is even, divide by 2 and obtain 1.&nbsp; \n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1&quot;\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length&nbsp;&lt;= 500</code></li>\n\t<li><code>s</code> consists of characters &#39;0&#39; or &#39;1&#39;</li>\n\t<li><code>s[0] == &#39;1&#39;</code></li>\n</ul>\n",
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"hints": [
"Read the string from right to left, if the string ends in '0' then the number is even otherwise it is odd.",
"Simulate the steps described in the binary string."
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