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();
Solution
importjava.util.Optional;publicclassRandomizedSet { /** Initialize your data structure here. */List<Integer> numbers;Map<Integer,Set<Integer>> map;Random random;publicRandomizedSet() { numbers =newArrayList<>(); map =newHashMap<>(); random =newRandom(); } /** Inserts a value to the collection. Returns true if the collection did not already contain the specified element. */publicbooleaninsert(int val) {if (!map.containsKey(val)) {map.put(val,newHashSet<>()); } else {returnfalse; }int size =numbers.size();numbers.add(val);map.get(val).add(size);if (map.get(val).size() ==1) {returntrue; } else {returnfalse; } } /** Removes a value from the collection. Returns true if the collection contained the specified element. */publicbooleanremove(int val) {if (!map.containsKey(val)) {returnfalse; }Set<Integer> set =map.get(val);Optional<Integer> removeIndex =set.stream().findAny();if (!removeIndex.isPresent()) {map.remove(val);returnfalse; }int removeIndexInteger =removeIndex.get();if (removeIndexInteger <numbers.size() -1) {int size =numbers.size();int lastNumber =numbers.get(size -1);numbers.set(removeIndexInteger, lastNumber);map.get(val).remove(removeIndexInteger);map.get(lastNumber).remove(size -1);map.get(lastNumber).add(removeIndexInteger);numbers.remove(numbers.size() -1); } else {numbers.remove(numbers.size() -1);map.get(val).remove(removeIndexInteger); }if (map.get(val).isEmpty()) {map.remove(val); }returntrue; } /** Get a random element from the collection. */publicintgetRandom() {returnnumbers.get(random.nextInt(numbers.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(); */