la326. Power of Three

shashi
2 min readApr 8, 2024

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Solved
Easy
Topics
Companies
Given an integer n, return true if it is a power of three. Otherwise, return false.An integer n is a power of three, if there exists an integer x such that n == 3x.

Example 1:

Input: n = 27
Output: true
Explanation: 27 = 33
Example 2:

Input: n = 0
Output: false
Explanation: There is no x where 3x = 0.
Example 3:

Input: n = -1
Output: false
Explanation: There is no x where 3x = (-1).

Constraints:

-231 <= n <= 231–1

Follow up: Could you solve it without loops/recursion?

class Solution {
public boolean isPowerOfThree1(int n) {
int m=1;
while(m<n){
m*=3;
}
return n==m ? true:false;
}

public boolean isPowerOfThree2(int n) {
return rec(n,1);
}

public boolean rec(int n, int m){
if(n==m) return true;
if(m<n) return rec(n, m*3);
return false;
}

/**the largest number divisible by three is 1162261467 before 2^31 -1 , checking it is divisible by it
would be sufficient */
public boolean isPowerOfThree(int n) {
return n > 0 && 1162261467 % n == 0;
}

}

/**
326. Power of Three
Solved
Easy
Topics
Companies
Given an integer n, return true if it is a power of three. Otherwise, return false.

An integer n is a power of three, if there exists an integer x such that n == 3x.



Example 1:

Input: n = 27
Output: true
Explanation: 27 = 33
Example 2:

Input: n = 0
Output: false
Explanation: There is no x where 3x = 0.
Example 3:

Input: n = -1
Output: false
Explanation: There is no x where 3x = (-1).

Constraints:

-231 <= n <= 231 - 1

Follow up: Could you solve it without loops/recursion?

*/

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shashi
shashi

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