Search a 2D Matrix

Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:

For example, Consider the following matrix:

[
  [1,   3,  5,  7],
  [10, 11, 16, 20],
  [23, 30, 34, 50]
]

Given

target = 3

return

true

def searchMatrix(matrix: Array[Array[Int]], target: Int): Boolean = {
  if (matrix.isEmpty) false
  else {
    val (m, n) = (matrix.length, matrix(0).length)
    val length = m * n
    def find(start: Int, end: Int): Boolean = {
      if (end < start) false
      else {
        val mid = (start + end) / 2
        matrix(mid / n)(mid % n) match {
          case num if num == target => true
          case num if num < target => find(mid + 1, end)
          case num if num > target => find(start, mid - 1)
        }
      }
    }
    find(0, length - 1)
  }
}

val mat = Array(
  Array(1, 3, 5, 7),
  Array(10, 11, 16, 20),
  Array(23, 30, 34, 50)
)

searchMatrix(mat, 11)
searchMatrix(mat, 99)