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();
Analysis:
We can use a hashMap + array here.
Insert - insert the val to the tail of the array, and update the hash map.
Remove - swap the val to be deleted with the tail of the list node. Update the index in the hash map, and remove tail of the array
GetRandom - Get a random index in the array and return its value.
Code (Java):
class RandomizedSet { private List<Integer> list; private Map<Integer, Integer> map; /** Initialize your data structure here. */ public RandomizedSet() { list = new ArrayList<>(); map = new HashMap<>(); } /** 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; } int index = list.size(); list.add(val); map.put(val, index); 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)) { return false; } int indexRemove = map.get(val); int tail = list.get(list.size() - 1); swap(indexRemove, list.size() - 1); map.put(tail, indexRemove); list.remove(list.size() - 1); map.remove(val); return true; } /** Get a random element from the set. */ public int getRandom() { if (list.isEmpty()) { return 0; } Random rand = new Random(); int index = rand.nextInt(list.size()); return list.get(index); } private void swap(int i, int j) { int temp = list.get(i); list.set(i, list.get(j)); list.set(j, temp); } } /** * 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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