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 from left to right.
- The first integer of each row is greater than the last integer of the previous row.
For example,
Consider the following matrix:
[ [1, 3, 5, 7], [10, 11, 16, 20], [23, 30, 34, 50] ]
Given target = 3
, return true
.
public class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int row = matrix.length;
int left = 0;
int right = row - 1;
int mid = (left + right) / 2;
while (left <= right) {
mid = (left + right) / 2;
if (target == matrix[mid][0]) {
return true;
} else if (target < matrix[mid][0]) {
right = mid-1;
} else {
left = mid+1;
}
}
if (target < matrix[mid][0]){
if(mid == 0){
return false;
}else{
return Arrays.binarySearch(matrix[mid-1], target)>=0;
}
}
return Arrays.binarySearch(matrix[mid], target)>=0;
}
}