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56 lines
3.6 KiB
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56 lines
3.6 KiB
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<p>You are given an integer <code>n</code>, a <strong>0-indexed</strong> string array <code>words</code>, and a <strong>0-indexed</strong> array <code>groups</code>, both arrays having length <code>n</code>.</p>
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<p>The <strong>hamming distance</strong> between two strings of equal length is the number of positions at which the corresponding characters are <strong>different</strong>.</p>
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<p>You need to select the <strong>longest</strong> <strong>subsequence</strong> from an array of indices <code>[0, 1, ..., n - 1]</code>, such that for the subsequence denoted as <code>[i<sub>0</sub>, i<sub>1</sub>, ..., i<sub>k - 1</sub>]</code> having length <code>k</code>, the following holds:</p>
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<ul>
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<li>For <strong>adjacent</strong> indices in the subsequence, their corresponding groups are <strong>unequal</strong>, i.e., <code>groups[i<sub>j</sub>] != groups[i<sub>j + 1</sub>]</code>, for each <code>j</code> where <code>0 < j + 1 < k</code>.</li>
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<li><code>words[i<sub>j</sub>]</code> and <code>words[i<sub>j + 1</sub>]</code> are <strong>equal</strong> in length, and the <strong>hamming distance</strong> between them is <code>1</code>, where <code>0 < j + 1 < k</code>, for all indices in the subsequence.</li>
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</ul>
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<p>Return <em>a string array containing the words corresponding to the indices <strong>(in order)</strong> in the selected subsequence</em>. If there are multiple answers, return <em>any of them</em>.</p>
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<p>A <strong>subsequence</strong> of an array is a new array that is formed from the original array by deleting some (possibly none) of the elements without disturbing the relative positions of the remaining elements.</p>
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<p><strong>Note:</strong> strings in <code>words</code> may be <strong>unequal</strong> in length.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> n = 3, words = ["bab","dab","cab"], groups = [1,2,2]
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<strong>Output:</strong> ["bab","cab"]
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<strong>Explanation:</strong> A subsequence that can be selected is [0,2].
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- groups[0] != groups[2]
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- words[0].length == words[2].length, and the hamming distance between them is 1.
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So, a valid answer is [words[0],words[2]] = ["bab","cab"].
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Another subsequence that can be selected is [0,1].
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- groups[0] != groups[1]
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- words[0].length == words[1].length, and the hamming distance between them is 1.
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So, another valid answer is [words[0],words[1]] = ["bab","dab"].
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It can be shown that the length of the longest subsequence of indices that satisfies the conditions is 2. </pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> n = 4, words = ["a","b","c","d"], groups = [1,2,3,4]
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<strong>Output:</strong> ["a","b","c","d"]
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<strong>Explanation:</strong> We can select the subsequence [0,1,2,3].
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It satisfies both conditions.
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Hence, the answer is [words[0],words[1],words[2],words[3]] = ["a","b","c","d"].
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It has the longest length among all subsequences of indices that satisfy the conditions.
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Hence, it is the only answer.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= n == words.length == groups.length <= 1000</code></li>
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<li><code>1 <= words[i].length <= 10</code></li>
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<li><code>1 <= groups[i] <= n</code></li>
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<li><code>words</code> consists of <strong>distinct</strong> strings.</li>
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<li><code>words[i]</code> consists of lowercase English letters.</li>
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</ul>
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