coordinates of outward spiral

#include<iostream>
using namespace std;

void spiral(int n){
    int last_x, last_y;
        // (dx, dy) is a vector - direction in which we move right now
    int dx = 1;
    int dy = 0;
    // length of current segment
    int segment_length = 1;

    // current position (x, y) and how much of current segment we passed
    int x = 0;
    int y = 0;
    int segment_passed = 0;
    for (int k = 0; k < n; ++k) {
        // make a step, add 'direction' vector (dx, dy) to current position (x, y)
        x += dx;
        y += dy;
        ++segment_passed;

        //save last result of x and y to print
        last_x = x;
        last_y = y;

        if (segment_passed == segment_length) {
            // done with current segment
            segment_passed = 0;

            // 'rotate' directions
            int buffer = dx;
            dx = -dy;
            dy = buffer;

            // increase segment length if necessary
            if (dy == 0) {
                ++segment_length;
            }
        }
    }

    cout << last_x << " " << last_y << endl;
}

int main(){

    int n;
    cin >> n;
    spiral(n);

    return 0;
}