Two Sum II

Problem

Given a 1-indexed array of integers numbers that is already sorted in non-decreasing order, find two numbers such that they add up to a specific target number. Let these two numbers be numbers[index1] and numbers[index2] where 1 <= index1 < index2 <= numbers.length.

Return the indices of the two numbers, index1 and index2, added by one as an integer array [index1, index2] of length 2.

The tests are generated such that there is exactly one solution. You may not use the same element twice.

Your solution must use only constant extra space.

Example 1:

Input: numbers = [2,7,11,15], target = 9
Output: [1,2]
Explanation: The sum of 2 and 7 is 9. Therefore, index1 = 1, index2 = 2. We return [1, 2].

Example 2:

Input: numbers = [2,3,4], target = 6
Output: [1,3]
Explanation: The sum of 2 and 4 is 6. Therefore index1 = 1, index2 = 3. We return [1, 3].

Example 3:

Input: numbers = [-1,0], target = -1
Output: [1,2]
Explanation: The sum of -1 and 0 is -1. Therefore index1 = 1, index2 = 2. We return [1, 2].

Constraints:

  • 2 <= numbers.length <= 3 * 104
  • -1000 <= numbers[i] <= 1000
  • numbers is sorted in non-decreasing order.
  • -1000 <= target <= 1000
  • The tests are generated such that there is exactly one solution.

Solution

class Solution {
    public int[] twoSum(int[] numbers, int target) {
        var l = 0;
        var r = numbers.length - 1;
        while (true) {
            var sum = numbers[l] + numbers[r];
            if (sum == target) {
                return new int[]{l + 1, r + 1};
            }
            if (sum < target) {
                l += 1;
            } else {
                r -= 1;
            }
        }
    }
}

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