#2119
A Number After a Double Reversal
EasyMathMathString Manipulation
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(1) |
| Space | O(1) | O(1) |
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Intuition
Time O(1)Space O(1)
The optimal solution recognizes that if a number ends with zero (except for zero itself), it cannot equal its double-reversed form. Hence, we can directly check this condition without performing unnecessary reversals.
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Algorithm
3 steps- 1Step 1: Check if the number is zero; if yes, return true.
- 2Step 2: If the number ends with zero, return false.
- 3Step 3: Otherwise, return true since reversing twice will yield the original number.
solution.py2 lines
1def isSameAfterReversals(num):
2 return num == 0 or num % 10 != 0ℹ
Complexity note: The time complexity is O(1) because we are only performing a constant number of operations. The space complexity is also O(1) as we are not using any additional data structures.
- 1Reversing a number can lead to loss of leading zeros, which is crucial for this problem.
- 2Any number that ends with zero (except zero itself) will not equal its double-reversed form.
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