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
.
实现:
class Solution {
public:
bool searchMatrix(vector<vector<int>>& matrix, int target) {
int min = 0;
while (min < matrix.size() && matrix[min][0] <= target) {
if (searchMatrix(matrix[min], target)) {
return true;
}
min++;
}
return false;
}
bool searchMatrix(vector<int>& matrix, int target) {
int min = 0;
int max = matrix.size()-1;
int mid;
while (min <= max) {
mid = (min + max) / 2;
if (matrix[mid] > target) {
max = mid-1;
} else if (matrix[mid] < target) {
min = mid+1;
} else {
return true;
}
}
return false;
}
};
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时间: 2024-10-25 01:46:08