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| 1 | +<p>Implement the <code>RandomizedSet</code> class:</p> |
| 2 | + |
| 3 | +<ul> |
| 4 | + <li><code>RandomizedSet()</code> Initializes the <code>RandomizedSet</code> object.</li> |
| 5 | + <li><code>bool insert(int val)</code> Inserts an item <code>val</code> into the set if not present. Returns <code>true</code> if the item was not present, <code>false</code> otherwise.</li> |
| 6 | + <li><code>bool remove(int val)</code> Removes an item <code>val</code> from the set if present. Returns <code>true</code> if the item was present, <code>false</code> otherwise.</li> |
| 7 | + <li><code>int getRandom()</code> Returns a random element from the current set of elements (it's guaranteed that at least one element exists when this method is called). Each element must have the <b>same probability</b> of being returned.</li> |
| 8 | +</ul> |
| 9 | + |
| 10 | +<p>You must implement the functions of the class such that each function works in <strong>average</strong> <code>O(1)</code> time complexity.</p> |
| 11 | + |
| 12 | +<p> </p> |
| 13 | +<p><strong class="example">Example 1:</strong></p> |
| 14 | + |
| 15 | +<pre> |
| 16 | +<strong>Input</strong> |
| 17 | +["RandomizedSet", "insert", "remove", "insert", "getRandom", "remove", "insert", "getRandom"] |
| 18 | +[[], [1], [2], [2], [], [1], [2], []] |
| 19 | +<strong>Output</strong> |
| 20 | +[null, true, false, true, 2, true, false, 2] |
| 21 | + |
| 22 | +<strong>Explanation</strong> |
| 23 | +RandomizedSet randomizedSet = new RandomizedSet(); |
| 24 | +randomizedSet.insert(1); // Inserts 1 to the set. Returns true as 1 was inserted successfully. |
| 25 | +randomizedSet.remove(2); // Returns false as 2 does not exist in the set. |
| 26 | +randomizedSet.insert(2); // Inserts 2 to the set, returns true. Set now contains [1,2]. |
| 27 | +randomizedSet.getRandom(); // getRandom() should return either 1 or 2 randomly. |
| 28 | +randomizedSet.remove(1); // Removes 1 from the set, returns true. Set now contains [2]. |
| 29 | +randomizedSet.insert(2); // 2 was already in the set, so return false. |
| 30 | +randomizedSet.getRandom(); // Since 2 is the only number in the set, getRandom() will always return 2. |
| 31 | +</pre> |
| 32 | + |
| 33 | +<p> </p> |
| 34 | +<p><strong>Constraints:</strong></p> |
| 35 | + |
| 36 | +<ul> |
| 37 | + <li><code>-2<sup>31</sup> <= val <= 2<sup>31</sup> - 1</code></li> |
| 38 | + <li>At most <code>2 * </code><code>10<sup>5</sup></code> calls will be made to <code>insert</code>, <code>remove</code>, and <code>getRandom</code>.</li> |
| 39 | + <li>There will be <strong>at least one</strong> element in the data structure when <code>getRandom</code> is called.</li> |
| 40 | +</ul> |
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