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<p>Implement a SnapshotArray that supports the following interface:</p>
<ul>
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<li><code>SnapshotArray(int length)</code> initializes an array-like data structure with the given length. <strong>Initially, each element equals 0</strong>.</li>
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<li><code>void set(index, val)</code> sets the element at the given <code>index</code> to be equal to <code>val</code>.</li>
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<li><code>int snap()</code> takes a snapshot of the array and returns the <code>snap_id</code>: the total number of times we called <code>snap()</code> minus <code>1</code>.</li>
<li><code>int get(index, snap_id)</code> returns the value at the given <code>index</code>, at the time we took the snapshot with the given <code>snap_id</code></li>
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</ul>
<p>&nbsp;</p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
<strong>Input:</strong> [&quot;SnapshotArray&quot;,&quot;set&quot;,&quot;snap&quot;,&quot;set&quot;,&quot;get&quot;]
[[3],[0,5],[],[0,6],[0,0]]
<strong>Output:</strong> [null,null,0,null,5]
<strong>Explanation: </strong>
SnapshotArray snapshotArr = new SnapshotArray(3); // set the length to be 3
snapshotArr.set(0,5); // Set array[0] = 5
snapshotArr.snap(); // Take a snapshot, return snap_id = 0
snapshotArr.set(0,6);
snapshotArr.get(0,0); // Get the value of array[0] with snap_id = 0, return 5</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
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<li><code>1 &lt;= length &lt;= 5 * 10<sup>4</sup></code></li>
<li><code>0 &lt;= index &lt; length</code></li>
<li><code>0 &lt;= val &lt;= 10<sup>9</sup></code></li>
<li><code>0 &lt;= snap_id &lt; </code>(the total number of times we call <code>snap()</code>)</li>
<li>At most <code>5 * 10<sup>4</sup></code> calls will be made to <code>set</code>, <code>snap</code>, and <code>get</code>.</li>
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</ul>