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<p>An integer <code>x</code> is <strong>numerically balanced</strong> if for every digit <code>d</code> in the number <code>x</code>, there are <strong>exactly</strong> <code>d</code> occurrences of that digit in <code>x</code>.</p>
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<p>Given an integer <code>n</code>, return <em>the <strong>smallest numerically balanced</strong> number <strong>strictly greater</strong> than </em><code>n</code><em>.</em></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> n = 1
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<strong>Output:</strong> 22
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<strong>Explanation:</strong>
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22 is numerically balanced since:
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- The digit 2 occurs 2 times.
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It is also the smallest numerically balanced number strictly greater than 1.
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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> n = 1000
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<strong>Output:</strong> 1333
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<strong>Explanation:</strong>
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1333 is numerically balanced since:
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- The digit 1 occurs 1 time.
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- The digit 3 occurs 3 times.
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It is also the smallest numerically balanced number strictly greater than 1000.
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Note that 1022 cannot be the answer because 0 appeared more than 0 times.
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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> n = 3000
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<strong>Output:</strong> 3133
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<strong>Explanation:</strong>
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3133 is numerically balanced since:
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- The digit 1 occurs 1 time.
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- The digit 3 occurs 3 times.
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It is also the smallest numerically balanced number strictly greater than 3000.
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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>0 <= n <= 10<sup>6</sup></code></li>
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</ul>
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