118:Search a 2D Matrix
阿新 • • 發佈:2019-01-22
題目:Write an efficient algorithm that searches for a value in an mn 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.
可以用二分查詢解決,程式碼如下:
// 時間複雜度 O(log(nm)),空間複雜度 O(1)
class Solution {
public:
bool searchMatrix(vector<vector<int>>& matrix, int target) {
if (matrix.empty()) return false;
const size_t m = matrix.size();
const size_t n = matrix[0].size();
int first = 0;
int last = m * n;
while (first != last) {
int mid = first + (last - first) / 2;
int value = matrix[mid / n][mid % n];
if (value == target)
return true;
else if (value < target)
first = mid + 1;
else
last = mid;
}
return false;
}
};