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38 lines
1.5 KiB
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38 lines
1.5 KiB
HTML
<p>A program was supposed to print an array of integers. The program forgot to print whitespaces and the array is printed as a string of digits <code>s</code> and all we know is that all integers in the array were in the range <code>[1, k]</code> and there are no leading zeros in the array.</p>
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<p>Given the string <code>s</code> and the integer <code>k</code>, return <em>the number of the possible arrays that can be printed as </em><code>s</code><em> using the mentioned program</em>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> s = "1000", k = 10000
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<strong>Output:</strong> 1
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<strong>Explanation:</strong> The only possible array is [1000]
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> s = "1000", k = 10
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> There cannot be an array that was printed this way and has all integer >= 1 and <= 10.
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> s = "1317", k = 2000
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<strong>Output:</strong> 8
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<strong>Explanation:</strong> Possible arrays are [1317],[131,7],[13,17],[1,317],[13,1,7],[1,31,7],[1,3,17],[1,3,1,7]
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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 <= s.length <= 10<sup>5</sup></code></li>
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<li><code>s</code> consists of only digits and does not contain leading zeros.</li>
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<li><code>1 <= k <= 10<sup>9</sup></code></li>
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</ul>
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