leetcode-problemset/leetcode/originData/smallest-divisible-digit-product-ii.json

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            "title": "Smallest Divisible Digit Product II",
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            "content": "<p>You are given a string <code>num</code> which represents a <strong>positive</strong> integer, and an integer <code>t</code>.</p>\n\n<p>A number is called <strong>zero-free</strong> if <em>none</em> of its digits are 0.</p>\n\n<p>Return a string representing the <strong>smallest</strong> <strong>zero-free</strong> number greater than or equal to <code>num</code> such that the <strong>product of its digits</strong> is divisible by <code>t</code>. If no such number exists, return <code>&quot;-1&quot;</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">num = &quot;1234&quot;, t = 256</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;1488&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The smallest zero-free number that is greater than 1234 and has the product of its digits divisible by 256 is 1488, with the product of its digits equal to 256.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">num = &quot;12355&quot;, t = 50</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;12355&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>12355 is already zero-free and has the product of its digits divisible by 50, with the product of its digits equal to 150.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">num = &quot;11111&quot;, t = 26</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;-1&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>No number greater than 11111 has the product of its digits divisible by 26.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= num.length &lt;= 2 * 10<sup>5</sup></code></li>\n\t<li><code>num</code> consists only of digits in the range <code>[&#39;0&#39;, &#39;9&#39;]</code>.</li>\n\t<li><code>num</code> does not contain leading zeros.</li>\n\t<li><code>1 &lt;= t &lt;= 10<sup>14</sup></code></li>\n</ul>\n",
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                "<code>t</code> should only have 2, 3, 5 and 7 as prime factors.",
                "Find the shortest suffix that must be changed.",
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