Problema
A number with k digits is an Armstrong number if the sum of each digit raised to the power k equals the number. For example 153 = 1³ + 5³ + 3³.
Implement is_armstrong(n).
Input
n: A non-negative integer.
Output
Return true if n is an Armstrong number.
Vincoli
0 ≤ n ≤ 10¹⁸
Esempi
Input:
n = 153
Output atteso:
expected = True
Input:
long long n = 153;
Output atteso:
bool expected = true;
Input:
long n = 153;
Output atteso:
bool expected = true;
Spiegazione
1³ + 5³ + 3³ = 1 + 125 + 27 = 153.
Input:
n = 10
Output atteso:
expected = False
Input:
long long n = 10;
Output atteso:
bool expected = false;
Input:
long n = 10;
Output atteso:
bool expected = false;
Spiegazione
1² + 0² = 1, which is not 10.
Come affrontarlo
Prova prima da solo, poi apri un suggerimento alla volta.
Suggerimento 1
Count how many digits the number has before summing powers.
Suggerimento 2
Compare the original number with the sum of each digit raised to that digit count.
Suggerimento 3
Remember that 0 is a special one-digit case.
Complessità attesa
O(k) time, O(1) extra space
Riferimenti
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