Time Complexity (Big O Time):
-
The program uses a single loop that iterates through the elements of the
nums
array. Let's assume there are 'n' elements in the array. -
In each iteration of the loop, the program performs constant time operations such as subtraction, comparison, and taking the maximum value.
-
The loop iterates until the end of the array or until it determines that it's not possible to jump further.
-
In the worst case, the loop may iterate through all 'n' elements of the array.
-
Therefore, the time complexity of the program is O(n), where 'n' is the number of elements in the input array
nums
.
Space Complexity (Big O Space):
-
The space complexity of the program is O(1), which means it uses a constant amount of additional space regardless of the size of the input array.
-
The program uses a few integer variables (
sz
andtmp
) to keep track of the array size and the jump value. These variables require constant space. -
The space complexity does not depend on the size of the input array
nums
.
In summary, the time complexity of the provided program is O(n), and the space complexity is O(1), where 'n' is the number of elements in the input array nums
. The program efficiently checks if it's possible to jump to the end of the array using a single pass through the array.