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leetcode-problemset/leetcode/originData/check-if-an-original-string-exists-given-two-encoded-strings.json
2023-12-09 19:57:46 +08:00

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JSON

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"title": "Check if an Original String Exists Given Two Encoded Strings",
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"content": "<p>An original string, consisting of lowercase English letters, can be encoded by the following steps:</p>\n\n<ul>\n\t<li>Arbitrarily <strong>split</strong> it into a <strong>sequence</strong> of some number of <strong>non-empty</strong> substrings.</li>\n\t<li>Arbitrarily choose some elements (possibly none) of the sequence, and <strong>replace</strong> each with <strong>its length</strong> (as a numeric string).</li>\n\t<li><strong>Concatenate</strong> the sequence as the encoded string.</li>\n</ul>\n\n<p>For example, <strong>one way</strong> to encode an original string <code>&quot;abcdefghijklmnop&quot;</code> might be:</p>\n\n<ul>\n\t<li>Split it as a sequence: <code>[&quot;ab&quot;, &quot;cdefghijklmn&quot;, &quot;o&quot;, &quot;p&quot;]</code>.</li>\n\t<li>Choose the second and third elements to be replaced by their lengths, respectively. The sequence becomes <code>[&quot;ab&quot;, &quot;12&quot;, &quot;1&quot;, &quot;p&quot;]</code>.</li>\n\t<li>Concatenate the elements of the sequence to get the encoded string: <code>&quot;ab121p&quot;</code>.</li>\n</ul>\n\n<p>Given two encoded strings <code>s1</code> and <code>s2</code>, consisting of lowercase English letters and digits <code>1-9</code> (inclusive), return <code>true</code><em> if there exists an original string that could be encoded as <strong>both</strong> </em><code>s1</code><em> and </em><code>s2</code><em>. Otherwise, return </em><code>false</code>.</p>\n\n<p><strong>Note</strong>: The test cases are generated such that the number of consecutive digits in <code>s1</code> and <code>s2</code> does not exceed <code>3</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s1 = &quot;internationalization&quot;, s2 = &quot;i18n&quot;\n<strong>Output:</strong> true\n<strong>Explanation:</strong> It is possible that &quot;internationalization&quot; was the original string.\n- &quot;internationalization&quot; \n -&gt; Split: [&quot;internationalization&quot;]\n -&gt; Do not replace any element\n -&gt; Concatenate: &quot;internationalization&quot;, which is s1.\n- &quot;internationalization&quot;\n -&gt; Split: [&quot;i&quot;, &quot;nternationalizatio&quot;, &quot;n&quot;]\n -&gt; Replace: [&quot;i&quot;, &quot;18&quot;, &quot;n&quot;]\n -&gt; Concatenate: &quot;i18n&quot;, which is s2\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s1 = &quot;l123e&quot;, s2 = &quot;44&quot;\n<strong>Output:</strong> true\n<strong>Explanation:</strong> It is possible that &quot;leetcode&quot; was the original string.\n- &quot;leetcode&quot; \n -&gt; Split: [&quot;l&quot;, &quot;e&quot;, &quot;et&quot;, &quot;cod&quot;, &quot;e&quot;]\n -&gt; Replace: [&quot;l&quot;, &quot;1&quot;, &quot;2&quot;, &quot;3&quot;, &quot;e&quot;]\n -&gt; Concatenate: &quot;l123e&quot;, which is s1.\n- &quot;leetcode&quot; \n -&gt; Split: [&quot;leet&quot;, &quot;code&quot;]\n -&gt; Replace: [&quot;4&quot;, &quot;4&quot;]\n -&gt; Concatenate: &quot;44&quot;, which is s2.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s1 = &quot;a5b&quot;, s2 = &quot;c5b&quot;\n<strong>Output:</strong> false\n<strong>Explanation:</strong> It is impossible.\n- The original string encoded as s1 must start with the letter &#39;a&#39;.\n- The original string encoded as s2 must start with the letter &#39;c&#39;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s1.length, s2.length &lt;= 40</code></li>\n\t<li><code>s1</code> and <code>s2</code> consist of digits <code>1-9</code> (inclusive), and lowercase English letters only.</li>\n\t<li>The number of consecutive digits in <code>s1</code> and <code>s2</code> does not exceed <code>3</code>.</li>\n</ul>\n",
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"For s1 and s2, divide each into a sequence of single alphabet strings and digital strings. The problem now becomes comparing if two sequences are equal.",
"A single alphabet string has no variation, but a digital string has variations. For example: \"124\" can be interpreted as 1+2+4, 12+4, 1+24, and 124 wildcard characters.",
"There are four kinds of comparisons: a single alphabet vs another; a single alphabet vs a number, a number vs a single alphabet, and a number vs another number. In the case of a number vs another (a single alphabet or a number), can you decrease the number by the min length of both?",
"There is a recurrence relation in the search which ends when either a single alphabet != another, or one sequence ran out, or both sequences ran out."
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