74. Search a 2D Matrix

问题
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 from left to right.
  • The first integer of each row is greater than the last integer of the previous row.

二分搜索,以整个数组尺寸作为搜索范围。
每次搜索中间值,如等于target则返回。

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int left = 0;
int right = (matrix.length * matrix[0].length) - 1;
while(left <= right){
int mid = left + (right - left)/2;
int row = mid / matrix[0].length;
int col = mid % matrix[0].length;
if(matrix[row][col] == target){
return true;
}
else if(matrix[row][col] > target){
right = mid - 1;
}
else{
left = mid + 1;
}
}
return false;
}
}

双指针,先搜索到合适的行。
再搜索到合适的列。

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
int i = 0;
int j = 0;

while(i < matrix.length){
if(matrix[i][0] == target){
return true;
}
else if(matrix[i][0] < target){
i++;
}
else{
break;
}
}
if( i == 0 ){
return false;
}
i--;
while(j < matrix[0].length){
if(matrix[i][j] == target){
return true;
}
j++;
}
return false;
}
}
Author

Xander

Posted on

2022-04-07

Updated on

2022-04-18

Licensed under

Comments