medium
https://leetcode.com/problems/insert-delete-getrandom-o1/
Design a data structure that supports all following operations in average O(1) time.
insert(val)
: Inserts an item val to the set if not already present.remove(val)
: Removes an item val from the set if present.getRandom
: Returns a random element from current set of elements. Each element must have the same probability of being returned.
Example:
// Init an empty set. RandomizedSet randomSet = new RandomizedSet(); // Inserts 1 to the set. Returns true as 1 was inserted successfully. randomSet.insert(1); // Returns false as 2 does not exist in the set. randomSet.remove(2); // Inserts 2 to the set, returns true. Set now contains [1,2]. randomSet.insert(2); // getRandom should return either 1 or 2 randomly. randomSet.getRandom(); // Removes 1 from the set, returns true. Set now contains [2]. randomSet.remove(1); // 2 was already in the set, so return false. randomSet.insert(2); // Since 2 is the only number in the set, getRandom always return 2. randomSet.getRandom();
Map store pairs of <val, index in list> and List is store the val existed.
They are same size. Add and remove together
When removal, list: replace the removed element with last added element.
map: replace the index(val) of last added element, and remove val(key)
Complexity: Space: O(N)
ublic class RandomizedSet { Map<Integer, Integer> map;//<val, index in arrlist> List<Integer> list;//keep a record of value for get random int size;//map and list are the same size Random rand; /** Initialize your data structure here. */ public RandomizedSet() { this.map = new HashMap<>(); this.list = new ArrayList<>(); this.size = 0; this.rand = new Random(); } /** Inserts a value to the set. Returns true if the set did not already contain the specified element. */ public boolean insert(int val) { if(map.containsKey(val)) return false; map.put(val, size); list.add(val); size++; return true; } /** Removes a value from the set. Returns true if the set contained the specified element. */ public boolean remove(int val) { if(map.containsKey(val)){ int last = list.get(size - 1); list.set(map.get(val), last);//use last added ele to fill the element to be removed map.put(last, map.get(val));//update last added ele's index in list map.remove(val); list.remove(size - 1);//remove at end is constant size--; return true; } return false; } /** Get a random element from the set. */ public int getRandom() { return list.get(rand.nextInt(size)); } } /** * Your RandomizedSet object will be instantiated and called as such: * RandomizedSet obj = new RandomizedSet(); * boolean param_1 = obj.insert(val); * boolean param_2 = obj.remove(val); * int param_3 = obj.getRandom(); */
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