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{
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"title": "Minimum Number of Valid Strings to Form Target I",
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"content": "<p>You are given an array of strings <code>words</code> and a string <code>target</code>.</p>\n\n<p>A string <code>x</code> is called <strong>valid</strong> if <code>x</code> is a <span data-keyword=\"string-prefix\">prefix</span> of <strong>any</strong> string in <code>words</code>.</p>\n\n<p>Return the <strong>minimum</strong> number of <strong>valid</strong> strings that can be <em>concatenated</em> to form <code>target</code>. If it is <strong>not</strong> possible to form <code>target</code>, return <code>-1</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\">words = [&quot;abc&quot;,&quot;aaaaa&quot;,&quot;bcdef&quot;], target = &quot;aabcdabc&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">3</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The target string can be formed by concatenating:</p>\n\n<ul>\n\t<li>Prefix of length 2 of <code>words[1]</code>, i.e. <code>&quot;aa&quot;</code>.</li>\n\t<li>Prefix of length 3 of <code>words[2]</code>, i.e. <code>&quot;bcd&quot;</code>.</li>\n\t<li>Prefix of length 3 of <code>words[0]</code>, i.e. <code>&quot;abc&quot;</code>.</li>\n</ul>\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\">words = [&quot;abababab&quot;,&quot;ab&quot;], target = &quot;ababaababa&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The target string can be formed by concatenating:</p>\n\n<ul>\n\t<li>Prefix of length 5 of <code>words[0]</code>, i.e. <code>&quot;ababa&quot;</code>.</li>\n\t<li>Prefix of length 5 of <code>words[0]</code>, i.e. <code>&quot;ababa&quot;</code>.</li>\n</ul>\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\">words = [&quot;abcdef&quot;], target = &quot;xyz&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">-1</span></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= words.length &lt;= 100</code></li>\n\t<li><code>1 &lt;= words[i].length &lt;= 5 * 10<sup>3</sup></code></li>\n\t<li>The input is generated such that <code>sum(words[i].length) &lt;= 10<sup>5</sup></code>.</li>\n\t<li><code>words[i]</code> consists only of lowercase English letters.</li>\n\t<li><code>1 &lt;= target.length &lt;= 5 * 10<sup>3</sup></code></li>\n\t<li><code>target</code> consists only of lowercase English letters.</li>\n</ul>\n",
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"Let <code>dp[i]</code> be the minimum cost to form the prefix of length <code>i</code> of <code>target</code>.",
"If <code>target[(i + 1)..j]</code> matches any prefix, update the range <code>dp[(i + 1)..j]</code> to minimum between original value and <code>dp[i] + 1</code>.",
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