Given a positive integer, write a function to find if it is a power of three or not.
Examples:
Input : 3 Output :Yes Input :6 Output :No
Approach:
The logic is very simple. Any integer number other than power of 3 which divides highest power of 3 value that integer can hold 3^19 = 1162261467 (Assuming that integers are stored using 32 bits) will give reminder non-zero.
C++
// C++ program to check if a number is power// of 3 or not.#include <stdio.h>// Returns true if n is power of 3, else falsebool check(int n){ if (n <= 0) return false; /* The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) .*/ return 1162261467 % n == 0;}// Driver codeint main(){ int n = 9; if (check(n)) printf("Yes"); else printf("No"); return 0;} |
Java
// Java program to check if a number is power// of 3 or not.public class Power_3 { // Returns true if n is power of 3, else false static boolean check(int n) { /* To prevent java.lang.ArithmeticException: / by zero and negative n */ if (n <= 0) return false; /* The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) .*/ return 1162261467 % n == 0; } // Driver code public static void main(String args[]) { int n = 9; if (check(n)) System.out.println("Yes"); else System.out.println("No"); }}// This code is contributed by Sumit Ghosh |
Python
# Python program to check if a number is power# of 3 or not. # Returns true if n is power of 3, else falsedef check(n): """ The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) .""" return 1162261467 % n == 0 # Driver coden = 9if (check(n)): print ("Yes")else: print ("No")# This code is contributed by Sachin Bisht |
C#
// C# program to check if a number// is power of 3 or not.using System;public class GFG { // Returns true if n is power // of 3, else false static bool check(int n) { if (n <= 0) return false; /* The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) .*/ return 1162261467 % n == 0; } // Driver code public static void Main() { int n = 9; if (check(n)) Console.Write("Yes"); else Console.Write("No"); }}// This code is contributed by// nitin mittal. |
PHP
<?php// PHP program to check if a// number is power of 3 or not.// Returns true if n is// power of 3, else falsefunction check($n){ /* The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) . */ return 1162261467 % $n == 0;} // Driver code $n = 9; if (check($n)) echo("Yes"); else echo("No");// This code is contributed by nitin mittal?> |
Javascript
<script>// Javascript program to check if a// number is power of 3 or not.// Returns true if n is// power of 3, else falsefunction check(n){ /* The maximum power of 3 value that integer can hold is 1162261467 ( 3^19 ) . */ return 1162261467 % n == 0;} // Driver code let n = 9; if (check(n)) document.write("Yes"); else document.write("No");// This code is contributed by nitin _saurabh_jaiswal</script> |
Output:
Yes
Time Complexity : O(1)
Auxiliary Space: O(1)
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