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Formatted question description: https://leetcode.ca/all/2349.html

2349. Design a Number Container System

  • Difficulty: Medium.
  • Related Topics: Hash Table, Design, Heap (Priority Queue), Ordered Set.
  • Similar Questions: Seat Reservation Manager, Design a Food Rating System.

Problem

Design a number container system that can do the following:

  • Insert **or **Replace a number at the given index in the system.

  • **Return **the smallest index for the given number in the system.

Implement the NumberContainers class:

  • NumberContainers() Initializes the number container system.

  • void change(int index, int number) Fills the container at index with the number. If there is already a number at that index, replace it.

  • int find(int number) Returns the smallest index for the given number, or -1 if there is no index that is filled by number in the system.

  Example 1:

Input
["NumberContainers", "find", "change", "change", "change", "change", "find", "change", "find"]
[[], [10], [2, 10], [1, 10], [3, 10], [5, 10], [10], [1, 20], [10]]
Output
[null, -1, null, null, null, null, 1, null, 2]

Explanation
NumberContainers nc = new NumberContainers();
nc.find(10); // There is no index that is filled with number 10. Therefore, we return -1.
nc.change(2, 10); // Your container at index 2 will be filled with number 10.
nc.change(1, 10); // Your container at index 1 will be filled with number 10.
nc.change(3, 10); // Your container at index 3 will be filled with number 10.
nc.change(5, 10); // Your container at index 5 will be filled with number 10.
nc.find(10); // Number 10 is at the indices 1, 2, 3, and 5. Since the smallest index that is filled with 10 is 1, we return 1.
nc.change(1, 20); // Your container at index 1 will be filled with number 20. Note that index 1 was filled with 10 and then replaced with 20. 
nc.find(10); // Number 10 is at the indices 2, 3, and 5. The smallest index that is filled with 10 is 2. Therefore, we return 2.

  Constraints:

  • 1 <= index, number <= 109

  • At most 105 calls will be made in total to change and find.

Solution (Java, C++, Python)

  • class NumberContainers {
        private Map<Integer, TreeSet<Integer>> indices = new HashMap<>();
        private Map<Integer, Integer> vals = new HashMap<>();
    
        public NumberContainers() {}
    
        public void change(int index, int number) {
            if (vals.containsKey(index)) {
                int old = vals.get(index);
                indices.get(old).remove(index);
                if (indices.get(old).isEmpty()) {
                    indices.remove(old);
                }
            }
            vals.put(index, number);
            indices.computeIfAbsent(number, s -> new TreeSet<>()).add(index);
        }
    
        public int find(int number) {
            if (indices.containsKey(number)) {
                return indices.get(number).first();
            }
            return -1;
        }
    }
    
    /**
     * Your NumberContainers object will be instantiated and called as such:
     * NumberContainers obj = new NumberContainers();
     * obj.change(index,number);
     * int param_2 = obj.find(number);
     */
    
    ############
    
    class NumberContainers {
        private Map<Integer, Integer> mp = new HashMap<>();
        private Map<Integer, TreeSet<Integer>> t = new HashMap<>();
    
        public NumberContainers() {
        }
    
        public void change(int index, int number) {
            if (mp.containsKey(index)) {
                int v = mp.get(index);
                t.get(v).remove(index);
                if (t.get(v).isEmpty()) {
                    t.remove(v);
                }
            }
            mp.put(index, number);
            t.computeIfAbsent(number, k -> new TreeSet<>()).add(index);
        }
    
        public int find(int number) {
            return t.containsKey(number) ? t.get(number).first() : -1;
        }
    }
    
    /**
     * Your NumberContainers object will be instantiated and called as such:
     * NumberContainers obj = new NumberContainers();
     * obj.change(index,number);
     * int param_2 = obj.find(number);
     */
    
  • from sortedcontainers import SortedSet
    
    
    class NumberContainers:
        def __init__(self):
            self.mp = {}
            self.t = defaultdict(SortedSet)
    
        def change(self, index: int, number: int) -> None:
            if index in self.mp:
                v = self.mp[index]
                self.t[v].remove(index)
            self.mp[index] = number
            self.t[number].add(index)
    
        def find(self, number: int) -> int:
            s = self.t[number]
            return s[0] if s else -1
    
    
    # Your NumberContainers object will be instantiated and called as such:
    # obj = NumberContainers()
    # obj.change(index,number)
    # param_2 = obj.find(number)
    
    ############
    
    # 2349. Design a Number Container System
    # https://leetcode.com/problems/design-a-number-container-system/
    
    from sortedcontainers import SortedList
    
    class NumberContainers:
    
        def __init__(self):
            self.A = {}
            self.sl = defaultdict(SortedList)
    
        def change(self, index: int, number: int) -> None:
            if index in self.A:
                prevNumber = self.A[index]
                self.sl[prevNumber].remove(index)
                
            self.A[index] = number
            self.sl[number].add(index)
            
    
        def find(self, number: int) -> int:
            s = self.sl[number]
            
            if not s: return -1
            
            return s[0]
    
    # Your NumberContainers object will be instantiated and called as such:
    # obj = NumberContainers()
    # obj.change(index,number)
    # param_2 = obj.find(number)
    
    
  • class NumberContainers {
    public:
        map<int, int> mp;
        map<int, set<int>> t;
    
        NumberContainers() {
        }
    
        void change(int index, int number) {
            auto it = mp.find(index);
            if (it != mp.end()) {
                t[it->second].erase(index);
                it->second = number;
            } else
                mp[index] = number;
            t[number].insert(index);
        }
    
        int find(int number) {
            auto it = t.find(number);
            return it == t.end() || it->second.empty() ? -1 : *it->second.begin();
        }
    };
    
    /**
     * Your NumberContainers object will be instantiated and called as such:
     * NumberContainers* obj = new NumberContainers();
     * obj->change(index,number);
     * int param_2 = obj->find(number);
     */
    
  • type NumberContainers struct {
    	mp map[int]int
    	t  map[int]*redblacktree.Tree
    }
    
    func Constructor() NumberContainers {
    	return NumberContainers{map[int]int{}, map[int]*redblacktree.Tree{} }
    }
    
    func (this *NumberContainers) Change(index int, number int) {
    	if num, ok := this.mp[index]; ok {
    		this.t[num].Remove(index)
    	}
    	this.mp[index] = number
    	if this.t[number] == nil {
    		this.t[number] = redblacktree.NewWithIntComparator()
    	}
    	this.t[number].Put(index, nil)
    }
    
    func (this *NumberContainers) Find(number int) int {
    	s, ok := this.t[number]
    	if !ok || s.Size() == 0 {
    		return -1
    	}
    	return s.Left().Key.(int)
    }
    
    /**
     * Your NumberContainers object will be instantiated and called as such:
     * obj := Constructor();
     * obj.Change(index,number);
     * param_2 := obj.Find(number);
     */
    

Explain:

nope.

Complexity:

  • Time complexity : O(n).
  • Space complexity : O(n).

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