Contains Duplicate II

Problem

Given an integer array nums and an integer k, return true if there are two distinct indices i and j in the array such that nums[i] == nums[j] and abs(i - j) <= k.

Example 1:

Input: nums = [1,2,3,1], k = 3
Output: true

Example 2:

Input: nums = [1,0,1,1], k = 1
Output: true

Example 3:

Input: nums = [1,2,3,1,2,3], k = 2
Output: false

Constraints:

  • 1 <= nums.length <= 105
  • -109 <= nums[i] <= 109
  • 0 <= k <= 105

Solution

Time: O(n) Space: O(n)

class Solution {
    public boolean containsNearbyDuplicate(int[] nums, int k) {
        // key: number
        // value: monotonic index
        var m = new HashMap<Integer, Integer>();

        for (var i = 0; i < nums.length; i++) {
            var n = nums[i];
            if (m.containsKey(n)) {
                if (Math.abs(m.get(n) - i) <= k) {
                    return true;
                }
            }
            m.put(n, i);
        }

        return false;
    }
}

Recent posts from blogs that I like

An Introduction to Google’s Approach to AI Agent Security

via Simon Willison

Notes on Cramer's rule

Cramer's rule is a clever solution to the classical system of linear equations Ax=b: \[\begin{bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \\ \end{bmatrix} \begin{bmatrix}x_1 \\ x_2 \\ x_3\end{bmatrix} = \begin{bmatrix}b_1 \\ b_2 \\ b_3\end{bmatrix}\] Usi...

via Eli Bendersky

Brandjes: Paintings as witnesses to fires 1640-1813

Dramatic paintings of towns and cities on fire, usually at night, were popular during the Dutch Golden Age, and known as brandjes. Examples to well into the 19th century.

via The Eclectic Light Company