Easy
Given an integer array nums
, move all 0
’s to the end of it while maintaining the relative order of the non-zero elements.
Note that you must do this in-place without making a copy of the array.
Example 1:
Input: nums = [0,1,0,3,12]
Output: [1,3,12,0,0]
Example 2:
Input: nums = [0]
Output: [0]
Constraints:
1 <= nums.length <= 104
-231 <= nums[i] <= 231 - 1
Follow up: Could you minimize the total number of operations done?
public class Solution {
public void moveZeroes(int[] nums) {
int firstZero = 0;
for (int i = 0; i < nums.length; i++) {
if (nums[i] != 0) {
swap(firstZero, i, nums);
firstZero++;
}
}
}
private void swap(int index1, int index2, int[] numbers) {
int val2 = numbers[index2];
numbers[index2] = numbers[index1];
numbers[index1] = val2;
}
}
Time Complexity (Big O Time):
The time complexity of this program is O(n), where ‘n’ is the length of the input array nums
. This is because the program iterates through the entire array exactly once in a single pass. The loop runs ‘n’ times, and inside the loop, there are constant-time operations such as checking and swapping elements.
Space Complexity (Big O Space):
The space complexity of the program is O(1), which indicates constant space usage. Regardless of the size of the input array, the program only uses a constant amount of extra space to store integer variables (firstZero
, i
, and val2
) and does not use any additional data structures whose space requirements depend on the input size. The space used for these variables remains constant.
In summary, the provided program has a time complexity of O(n), where ‘n’ is the length of the input array nums
, and it has a space complexity of O(1), indicating constant space usage.