Finished rectangle fit

#include <iostream>
#include <vector>
#include <algorithm>
#include "math.h"
class Size {
public:
    int x;
    int y;
    Size(int x, int y): x(x), y(y){}
    int getArea(){
        return x * y;
    }
};

namespace sf {
    class Vector2i {
    public:
        int x;
        int y;
        Vector2i(int x, int y) : x(x), y(y){}
    };

};

void print(std::vector<Size> sizes){
    std::cout << "printing" << std::endl;
    for(auto size: sizes){
        std::cout << "x: " << size.x << ", y: " << size.y << std::endl;
    }
}

void printOccupied(std::vector<std::vector<bool>> occupied){
    for(auto line: occupied){
        std::string row;
        for(auto val: line){
            row += std::to_string(val) + " ";
        }
        std::cout << row << std::endl;
    }
}

bool fits(int x, int y, Size size, std::vector<std::vector<bool>> occupied){
    try{
        for(int i = x; i < x + size.x; i++){
            for(int j = y; j < y + size.y; j++){
                if(occupied.at(j).at(i)) return false;
            }
        }
    }
    catch (const std::out_of_range& e) {
        return false;
    }
    return true;
}

int main()
{
    std::vector<Size> sizes;
    for(int i = 2; i < 7; i += 4){
        for(int j = 1; j < 8; j += 4){
            sizes.push_back(Size(i, j));
        }
    }

    for(int i = 0; i < 15; i++){
        sizes.push_back(Size(1, 1));
    }


    std::sort(sizes.begin(), sizes.end(),
        [](const Size &a, const Size &b){
            return a.x * a.y > b.x * b.y;
        }
    );

    int area = 0;
    for(auto size: sizes){
        area += size.x * size.y;
    }


    int width = (int)(std::sqrt(area) * 1.3);
    int height = width;
    printf("area: %d\n", area);
    printf("width: %d, height: %d\n", width, height);
    std::vector<std::vector<bool>> occupied = std::vector<std::vector<bool>>(height, std::vector<bool>(width, false));
    for(auto size: sizes){
        printf("size x: %d, y: %d\n", size.x, size.y);
        printOccupied(occupied);
        bool fit = false;
        for(int i = 0; i < height; i++){
            for(int j = 0; j < width; j++){
                if(fits(j, i, size, occupied)){

                    for(int k = i; k < i + size.y; k++){
                        for(int l = j; l < j + size.x; l++){
                            printf("%d %d\n", k,l);
                            occupied.at(k).at(l) = true;
                        }
                    }
                    fit = true;
                    break;
                }
            }
            if(fit) break;
        }
    }

    return 0;
}