Problem
Solution
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Check Armstrong number
Certification: Basic Level
Accuracy: 100%
Submissions: 2
Points: 5
Write a C# program to determine whether a given number is an Armstrong number. An Armstrong number (also known as a narcissistic number, pluperfect digital invariant, or pluperfect number) is a number that is equal to the sum of its own digits each raised to the power of the number of digits.
Example 1
- Input: n = 153
- Output: true
- Explanation:
- 153 has 3 digits, so we need to check if 1^3 + 5^3 + 3^3 = 153
- 1^3 = 1
- 5^3 = 125
- 3^3 = 27
- 1 + 125 + 27 = 153
- Since the sum equals the original number, 153 is an Armstrong number.
Example 2
- Input: n = 1634
- Output: true
- Explanation:
- 1634 has 4 digits, so we need to check if 1^4 + 6^4 + 3^4 + 4^4 = 1634
- 1^4 = 1
- 6^4 = 1296
- 3^4 = 81
- 4^4 = 256
- 1 + 1296 + 81 + 256 = 1634
- Since the sum equals the original number, 1634 is an Armstrong number.
Constraints
- 1 ≤ n ≤ 10^9
- Time Complexity: O(log n)
- Space Complexity: O(1)
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Solution Hints
- Convert the number to a string to easily count the number of digits.
- Alternatively, use mathematical operations to extract digits.
- Use a loop to calculate the sum of each digit raised to the power of the number of digits.
- Compare the final sum with the original number.