My solution to a “Daily Coding Problem” that I received in my mail today.

Implement integer exponentiation. That is, implement the `pow(x, y)` function, where `x` and `y` are integers and returns `x^y`.

Do this faster than the naive method of repeated multiplication.

For example, `pow(2, 10)` should return 1024.

Here’s my solution in Typescript. I will be honest, I can’t fully visualise the iterative solution in my head. So while I solved this, not sure how will I solve the next problem that needs some bit-shifting. It’s been some time so, I need some practice with my bitwise operations

``````//iterartive and more efficient solution space-wise
sixtyOne(x: number, y: number) {
//function to calculate power
let res = 1;
while (y> 0) {
//if y is odd multiply,
//x with result
if((y & 1) == 1) {
res = res * x;
}
//n must be even now
y = y >> 1;
x = x * x;
}
return res;
}
//less efficient solution space-wise
sixtyOneRecursive(x: number, y: number): number {
if(y == 0) {
return 1;
} else if(y % 2 == 0) {
return this.sixtyOneRecursive(x, Math.floor(y/2)) * this.sixtyOneRecursive(x, Math.floor(y/2));
} else {
return x * this.sixtyOneRecursive(x, Math.floor(y/2)) * this.sixtyOneRecursive(x, Math.floor(y/2));
}
}``````

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Categories: Algorithms