240. Search a 2D Matrix II
Write an efficient algorithm that searches for a value target in an m x n integer matrix 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.
Example 1:
Input: 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]], target = 5
Output: true
Example 2:
Input: 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]], target = 20
Output: false
z字形查找,从matrix[0][n-1]开始,如果target > 当前的值,因为当前的值所在的行都是比当前值小的,所以x++。 如果target < 当前的值,因为当前值所在列都是比x大的,所以y--;
class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int m = matrix.length;
int n = matrix[0].length;
int x = 0;
int y = n-1;
while(x < m && y >= 0) {
int num = matrix[x][y];
if(num == target) {
return true;
} else if(num > target) {
y--;
} else {
x++;
}
}
return false;
}
}