Design a HashSet without using any built-in hash table libraries.

To be specific, your design should include these functions:

  • add(value): Insert a value into the HashSet.
  • contains(value): Return whether the value exists in the HashSet or not.
  • remove(value): Remove a value in the HashSet. If the value does not exist in the HashSet, do nothing.

Example:

MyHashSet hashSet = new MyHashSet();
hashSet.add(1);         
hashSet.add(2);         
hashSet.contains(1);    // returns true
hashSet.contains(3);    // returns false (not found)
hashSet.add(2);          
hashSet.contains(2);    // returns true
hashSet.remove(2);          
hashSet.contains(2);    // returns false (already removed)

Note:

  • All values will be in the range of [0, 1000000].
  • The number of operations will be in the range of [1, 10000].
  • Please do not use the built-in HashSet library.

solution

class MyHashSet {
public:
    /** Initialize your data structure here. */
    MyHashSet() {
        content = vector<bool>(1000001, false);
    }
    
    void add(int key) {
        content[key] = true;
    }
    
    void remove(int key) {
        content[key] = false;
    }
    
    /** Returns true if this set contains the specified element */
    bool contains(int key) {
        return content[key];
    }
private:
    vector<bool> content;
};

/**
 * Your MyHashSet object will be instantiated and called as such:
 * MyHashSet* obj = new MyHashSet();
 * obj->add(key);
 * obj->remove(key);
 * bool param_3 = obj->contains(key);
 */

Hash table的概念圖:

理論上輸入(key, value),key經過hash function之後,會去存取相對應index的內容。
table得看需求設計大小,或是進階一點,動態大小。
(index, content) pair 後面的content也可延伸為linked list。

按照此題需求,index範圍是[0, 1000000],也只需知道此數值是否有存起來,因此hash function f(x) = x,content 就存有沒有存入此數值即可。