Sum of Digit Powers

Easy

Let number have exactly k digits. Raise every digit to the power k and add the results up. Return true if the sum equals number itself, and false otherwise.

Example 1

number=370 → True

Three digits, so the power is 3: 3³ + 7³ + 0³ = 27 + 343 + 0 = 370.

Example 2

number=25 → False

2² + 5² = 29 ≠ 25.

Example 3

number=8 → True

A one-digit number always equals itself to the first power.

Constraints

1 ≤ number ≤ 10⁸

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Topics

Math

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Input

number=370

Expected

True

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