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37 lines
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37 lines
1.3 KiB
HTML
<p>Given an integer <code>n</code>, return <em>the <strong>decimal value</strong> of the binary string formed by concatenating the binary representations of </em><code>1</code><em> to </em><code>n</code><em> in order, <strong>modulo </strong></em><code>10<sup>9 </sup>+ 7</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> n = 1
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<strong>Output:</strong> 1
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<strong>Explanation: </strong>"1" in binary corresponds to the decimal value 1.
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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> n = 3
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<strong>Output:</strong> 27
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<strong>Explanation: </strong>In binary, 1, 2, and 3 corresponds to "1", "10", and "11".
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After concatenating them, we have "11011", which corresponds to the decimal value 27.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> n = 12
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<strong>Output:</strong> 505379714
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<strong>Explanation</strong>: The concatenation results in "1101110010111011110001001101010111100".
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The decimal value of that is 118505380540.
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After modulo 10<sup>9</sup> + 7, the result is 505379714.
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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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</ul>
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