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.
For example,
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.
public class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int m = matrix.length - 1;
int n = 0;
while (m >= 0 && n < matrix[0].length) {
if (matrix[m][n] == target) {
return true;
} else if (matrix[m][n] > target) {
m--;
} else {
n++;
}
}
return false;
}
}
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