Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:
- Integers in each row are sorted in ascending from left to right.
- Integers in each column are sorted in ascending from top to bottom.
Consider the following matrix:
[
[1, 4, 7, 11, 15],
[2, 5, 8, 12, 19],
[3, 6, 9, 16, 22],
[10, 13, 14, 17, 24],
[18, 21, 23, 26, 30]
]
Given target = 5
, return true
.
Given target = 20
, return false
.
# @param {Integer[][]} matrix
# @param {Integer} target
# @return {Boolean}
def search_matrix(matrix, target)
return false if matrix.empty? or matrix[0].empty?
row, col = matrix.length - 1, 0
while row >= 0 and col < matrix[0].length
if matrix[row][col] < target
col += 1
elsif matrix[row][col] > target
row -= 1
else
return true
end
end
return false
end
class Solution {
fun searchMatrix(matrix: Array<IntArray>, target: Int): Boolean {
if (matrix.isEmpty() || matrix[0].isEmpty()) {
return false
}
var row = matrix.size - 1
var col = 0
while (row >= 0 && col < matrix[0].size) {
if (matrix[row][col] < target) {
col += 1
} else if (matrix[row][col] > target) {
row -= 1
} else {
return true
}
}
return false
}
}