Search in a 2D Sorted Matrix

You are given a 2D matrix of integers where each row is sorted in ascending order from left to right, and each column is sorted in ascending order from top to bottom.

Write a function searchElement(matrix, target) that returns true if the target is found in the matrix, and false otherwise.

Function Signature

function searchElement(matrix: number[][], target: number): boolean

Input

• matrix: a 2D array of integers (0 ≤ matrix.length ≤ 1000, 0 ≤ matrix[i].length ≤ 1000)

• target: an integer value to be searched for

Output

• Return true if the target exists in the matrix, otherwise return false.

Time Complexity

• O(m + n), where m is the number of rows and n is the number of columns.

Space Complexity

• O(1) — No extra space is used other than a few variables.

Example

searchElement([
  [1, 4, 7, 11],
  [2, 5, 8, 12],
  [3, 6, 9, 16],
  [10, 13, 14, 17]
], 5) // ➞ true

searchElement([
  [1, 4, 7, 11],
  [2, 5, 8, 12],
  [3, 6, 9, 16],
  [10, 13, 14, 17]
], 15) // ➞ false

searchElement([], 1) // ➞ false

searchElement([[]], 1) // ➞ false