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38 lines
1.6 KiB
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<p>You are given a <strong>0-indexed</strong> string <code>word</code> of length <code>n</code> consisting of digits, and a positive integer <code>m</code>.</p>
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<p>The <strong>divisibility array</strong> <code>div</code> of <code>word</code> is an integer array of length <code>n</code> such that:</p>
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<ul>
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<li><code>div[i] = 1</code> if the <strong>numeric value</strong> of <code>word[0,...,i]</code> is divisible by <code>m</code>, or</li>
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<li><code>div[i] = 0</code> otherwise.</li>
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</ul>
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<p>Return<em> the divisibility array of</em><em> </em><code>word</code>.</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> word = "998244353", m = 3
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<strong>Output:</strong> [1,1,0,0,0,1,1,0,0]
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<strong>Explanation:</strong> There are only 4 prefixes that are divisible by 3: "9", "99", "998244", and "9982443".
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</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> word = "1010", m = 10
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<strong>Output:</strong> [0,1,0,1]
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<strong>Explanation:</strong> There are only 2 prefixes that are divisible by 10: "10", and "1010".
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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 <= 10<sup>5</sup></code></li>
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<li><code><font face="monospace">word.length == n</font></code></li>
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<li><code><font face="monospace">word</font></code><font face="monospace"> consists of digits from <code>0</code> to <code>9</code></font></li>
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<li><code><font face="monospace">1 <= m <= 10<sup>9</sup></font></code></li>
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</ul>
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