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[LeetCode Sync] Runtime - 668 ms (17.70%), Memory - 151.6 MB (18.18%)
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<p>Design a number container system that can do the following:</p>
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<ul>
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<li><strong>Insert </strong>or <strong>Replace</strong> a number at the given index in the system.</li>
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<li><strong>Return </strong>the smallest index for the given number in the system.</li>
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</ul>
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<p>Implement the <code>NumberContainers</code> class:</p>
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<ul>
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<li><code>NumberContainers()</code> Initializes the number container system.</li>
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<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>
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<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>
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</ul>
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<p>&nbsp;</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>
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[&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;]
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[[], [10], [2, 10], [1, 10], [3, 10], [5, 10], [10], [1, 20], [10]]
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<strong>Output</strong>
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[null, -1, null, null, null, null, 1, null, 2]
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<strong>Explanation</strong>
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NumberContainers nc = new NumberContainers();
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nc.find(10); // There is no index that is filled with number 10. Therefore, we return -1.
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nc.change(2, 10); // Your container at index 2 will be filled with number 10.
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nc.change(1, 10); // Your container at index 1 will be filled with number 10.
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nc.change(3, 10); // Your container at index 3 will be filled with number 10.
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nc.change(5, 10); // Your container at index 5 will be filled with number 10.
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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.
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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.
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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.
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</pre>
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<p>&nbsp;</p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 &lt;= index, number &lt;= 10<sup>9</sup></code></li>
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<li>At most <code>10<sup>5</sup></code> calls will be made <strong>in total</strong> to <code>change</code> and <code>find</code>.</li>
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</ul>
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class NumberContainers:
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def __init__(self):
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# Initializing the defaultdict with SortedSet and the regular dictionary
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# Map from number to set of indices
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self.number_to_indices = collections.defaultdict(SortedSet)
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# Map from index to number
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self.index_to_number = {}
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def change(self, index: int, number: int) -> None:
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# If index already has a number, remove it from the old number's index set
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if index in self.index_to_number:
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previous_number = self.index_to_number[index]
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self.number_to_indices[previous_number].remove(index)
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if not self.number_to_indices[previous_number]:
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del self.number_to_indices[previous_number]
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# Update the number and add the index to the new number's set
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self.index_to_number[index] = number
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self.number_to_indices[number].add(index)
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def find(self, number: int) -> int:
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# Return the smallest index for the given number, or -1 if not found
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if number in self.number_to_indices and self.number_to_indices[number]:
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return self.number_to_indices[number][0]
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return -1
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# Your NumberContainers object will be instantiated and called as such:
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# obj = NumberContainers()
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# obj.change(index,number)
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# param_2 = obj.find(number)

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