Problema
Decide whether n equals 2ᵏ for some whole number k ≥ 0 (1, 2, 4, 8, …).
Implement is_power_of_two(n).
Input
n: The number to check.
Output
Return true if n is a power of two.
Vincoli
-10¹⁸ ≤ n ≤ 10¹⁸
Esempi
Input:
n = 64
Output atteso:
expected = True
Input:
long long n = 64;
Output atteso:
bool expected = true;
Input:
long n = 64;
Output atteso:
bool expected = true;
Spiegazione
64 = 2⁶.
Input:
n = 12
Output atteso:
expected = False
Input:
long long n = 12;
Output atteso:
bool expected = false;
Input:
long n = 12;
Output atteso:
bool expected = false;
Spiegazione
12 = 4 × 3 has an odd factor, so it is not a power of two.
Come affrontarlo
Prova prima da solo, poi apri un suggerimento alla volta.
Suggerimento 1
A power of two has exactly one bit set in binary.
Suggerimento 2
Check that the number is positive before using a bit-based test.
Suggerimento 3
Negative numbers and zero are never powers of two.
Complessità attesa
O(1) time, O(1) extra space
Riferimenti
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