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2349. Design a Number Container System

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.

Solutions (Rust)

1. Solution

use std::collections::BinaryHeap;
use std::collections::HashMap;

struct NumberContainers {
    nums: HashMap<i32, i32>,
    indices: HashMap<i32, BinaryHeap<i32>>,
}

/**
 * `&self` means the method takes an immutable reference.
 * If you need a mutable reference, change it to `&mut self` instead.
 */
impl NumberContainers {
    fn new() -> Self {
        Self {
            nums: HashMap::new(),
            indices: HashMap::new(),
        }
    }

    fn change(&mut self, index: i32, number: i32) {
        self.nums.insert(index, number);
        self.indices
            .entry(number)
            .and_modify(|h| h.push(-index))
            .or_insert(BinaryHeap::from([-index]));
    }

    fn find(&mut self, number: i32) -> i32 {
        if !self.indices.contains_key(&number) {
            return -1;
        }

        while let Some(&i) = self.indices[&number].peek() {
            if self.nums[&-i] != number {
                self.indices.get_mut(&number).unwrap().pop();
            } else {
                return -i;
            }
        }

        -1
    }
}

/**
 * Your NumberContainers object will be instantiated and called as such:
 * let obj = NumberContainers::new();
 * obj.change(index, number);
 * let ret_2: i32 = obj.find(number);
 */