'Determining if a Number is a Power of Three in JavaScript (#leetcode #326)'||Hindi

Leetcode question #326 "Power of Three" is a problem that requires determining if a given integer is a power of three. The task is to write a function that takes in an integer as its input and returns a boolean value indicating whether the input is a power of three or not. The function should be implemented using JavaScript.

For example, if the input is 27, the function should return true as 27 is 3 rise to 3 and if the input is 45, the function should return false.

This problem can be solved using loop, recursion and also bit manipulation but the goal of this problem is to solve it using the mathematical properties of the number 3.

One way to solve this problem mathematically is to use the property that the maximum integer that is a power of three and fits in a 32-bit integer is 3^19 = 1162261467. We can use this property to check if the input is a multiple of 1162261467, if yes return true otherwise false. This is the most optimal way to solve this problem as it avoids the use of loop or recursion which can be time-consuming for large inputs.

Another way to solve this problem mathematically is by using logarithms. We can check if log base 3 of the input is a whole number. If it is, then the input is a power of three, otherwise, it is not.
here's one possible implementation of the function in JavaScript:
function isPowerOfThree(n) {
return (n greater than 0 && 1162261467 % n === 0);
}

Another way to implement this function is by using logarithms:

function isPowerOfThree(n) {
}

Both of these functions take in an integer n as input and return a boolean value indicating whether n is a power of three or not. The first function uses the mathematical property that the maximum integer that is a power of three and fits in a 32-bit integer is 3^19 = 1162261467 and the second one uses the logarithms.
Please note that using logarithms is less efficient than using mathematical property of 3^19 in terms of computational time and space.

The key takeaway is that this problem can be solved efficiently by using mathematical properties of the number three rather than using loops or recursion.
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