design-a-number-container-system

Design a Number Container System

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Design a number container system that can do the following:

<ul>
	<li>Insert or Replace a number at the given index in the system.</li>
	<li>Return the smallest index for the given number in the system.</li>
</ul>

Implement the <code>NumberContainers</code> class:

<ul>
	<li><code>NumberContainers()</code> Initializes the number container system.</li>
	<li><code>void change(int index, int number)</code> Fills the container at <code>index</code> with the <code>number</code>. If there is already a number at that <code>index</code>, replace it.</li>
	<li><code>int find(int number)</code> Returns the smallest index for the given <code>number</code>, or <code>-1</code> if there is no index that is filled by <code>number</code> in the system.</li>
</ul>

&nbsp;
Example 1:

<pre>
Input
[&quot;NumberContainers&quot;, &quot;find&quot;, &quot;change&quot;, &quot;change&quot;, &quot;change&quot;, &quot;change&quot;, &quot;find&quot;, &quot;change&quot;, &quot;find&quot;]
[[], [10], [2, 10], [1, 10], [3, 10], [5, 10], [10], [1, 20], [10]]
Output
[null, -1, null, null, null, null, 1, null, 2]

Explanation
NumberContainers nc = new NumberContainers();
nc.find(10); // There is no index that is filled with number 10. Therefore, we return -1.
nc.change(2, 10); // Your container at index 2 will be filled with number 10.
nc.change(1, 10); // Your container at index 1 will be filled with number 10.
nc.change(3, 10); // Your container at index 3 will be filled with number 10.
nc.change(5, 10); // Your container at index 5 will be filled with number 10.
nc.find(10); // Number 10 is at the indices 1, 2, 3, and 5. Since the smallest index that is filled with 10 is 1, we return 1.
nc.change(1, 20); // Your container at index 1 will be filled with number 20. Note that index 1 was filled with 10 and then replaced with 20. 
nc.find(10); // Number 10 is at the indices 2, 3, and 5. The smallest index that is filled with 10 is 2. Therefore, we return 2.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>1 &lt;= index, number &lt;= 109</code></li>
	<li>At most <code>105</code> calls will be made in total to <code>change</code> and <code>find</code>.</li>
</ul>

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