给定M×N矩阵,每一行、每一列都按升序排列,请编写代码找出某元素。
示例:
现有矩阵 matrix 如下:
[
[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]
]
给定 target = 5
,返回 true
。
给定 target = 20
,返回 false
。
class Solution {
public boolean searchMatrix(int[][] matrix, int target) {
if (matrix.length == 0 || matrix[0].length == 0) {
return false;
}
for (int[] row : matrix) {
int index = search(row, target);
if (index >= 0) {
return true;
}
}
return false;
}
public int search(int[] nums, int target) {
int low = 0, high = nums.length - 1;
while (low <= high) {
int mid = (high - low) / 2 + low;
int num = nums[mid];
if (num == target) {
return mid;
} else if (num > target) {
high = mid - 1;
} else {
low = mid + 1;
}
}
return -1;
}
}