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"title": "Lexicographically Smallest String After Applying Operations",
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"content": "<p>You are given a string <code>s</code> of <strong>even length</strong> consisting of digits from <code>0</code> to <code>9</code>, and two integers <code>a</code> and <code>b</code>.</p>\n\n<p>You can apply either of the following two operations any number of times and in any order on <code>s</code>:</p>\n\n<ul>\n\t<li>Add <code>a</code> to all odd indices of <code>s</code> <strong>(0-indexed)</strong>. Digits post <code>9</code> are cycled back to <code>0</code>. For example, if <code>s = &quot;3456&quot;</code> and <code>a = 5</code>, <code>s</code> becomes <code>&quot;3951&quot;</code>.</li>\n\t<li>Rotate <code>s</code> to the right by <code>b</code> positions. For example, if <code>s = &quot;3456&quot;</code> and <code>b = 1</code>, <code>s</code> becomes <code>&quot;6345&quot;</code>.</li>\n</ul>\n\n<p>Return <em>the <strong>lexicographically smallest</strong> string you can obtain by applying the above operations any number of times on</em> <code>s</code>.</p>\n\n<p>A string <code>a</code> is lexicographically smaller than a string <code>b</code> (of the same length) if in the first position where <code>a</code> and <code>b</code> differ, string <code>a</code> has a letter that appears earlier in the alphabet than the corresponding letter in <code>b</code>. For example, <code>&quot;0158&quot;</code> is lexicographically smaller than <code>&quot;0190&quot;</code> because the first position they differ is at the third letter, and <code>&#39;5&#39;</code> comes before <code>&#39;9&#39;</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;5525&quot;, a = 9, b = 2\n<strong>Output:</strong> &quot;2050&quot;\n<strong>Explanation:</strong> We can apply the following operations:\nStart: &quot;5525&quot;\nRotate: &quot;2555&quot;\nAdd: &quot;2454&quot;\nAdd: &quot;2353&quot;\nRotate: &quot;5323&quot;\nAdd: &quot;5222&quot;\nAdd: &quot;5121&quot;\nRotate: &quot;2151&quot;\nAdd: &quot;2050&quot;\nThere is no way to obtain a string that is lexicographically smaller than &quot;2050&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;74&quot;, a = 5, b = 1\n<strong>Output:</strong> &quot;24&quot;\n<strong>Explanation:</strong> We can apply the following operations:\nStart: &quot;74&quot;\nRotate: &quot;47&quot;\nAdd: &quot;42&quot;\nRotate: &quot;24&quot;\nThere is no way to obtain a string that is lexicographically smaller than &quot;24&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;0011&quot;, a = 4, b = 2\n<strong>Output:</strong> &quot;0011&quot;\n<strong>Explanation:</strong> There are no sequence of operations that will give us a lexicographically smaller string than &quot;0011&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= s.length &lt;= 100</code></li>\n\t<li><code>s.length</code> is even.</li>\n\t<li><code>s</code> consists of digits from <code>0</code> to <code>9</code> only.</li>\n\t<li><code>1 &lt;= a &lt;= 9</code></li>\n\t<li><code>1 &lt;= b &lt;= s.length - 1</code></li>\n</ul>\n",
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"code": "class Solution(object):\n def findLexSmallestString(self, s, a, b):\n \"\"\"\n :type s: str\n :type a: int\n :type b: int\n :rtype: str\n \"\"\"\n ",
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"Since the length of s is even, the total number of possible sequences is at most 10 * 10 * s.length.",
"You can generate all possible sequences and take their minimum.",
"Keep track of already generated sequences so they are not processed again."
],
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