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Trying to add an array or a vector of coordinates x and Y into my vector of unique pointers

CTLZ (16)
Originally i did the adding of data through the using of x1,x2,etc..
but the requirements state that i have to create arrays or vectors to store my coordinates in my subclasses and do other methods using them. Now my question is how do i do that? i tried to do it normally but my constructor doesn't allow it. Please help, thanks.

Display.cpp
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  #include <iostream>
#include "Rectangle.h"

void print(vector<unique_ptr<ShapeTwoD>>& newCoords)
{
	string s;
	for (int i=0;i<newCoords.size();i++)
	{
		s=(*newCoords[i]).toString();
		cout<<s<<endl;
	}
}

void compute(vector<unique_ptr<ShapeTwoD>>& newCoords)
{
	ShapeTwoD sh;
	double a;
	for (int i=0;i<newCoords.size();i++)
	{
		a=(*newCoords[i]).computeArea();
		(*newCoords[i]).setArea(a);
	}
}

void input(vector<unique_ptr<ShapeTwoD>>& data,vector<Rectangle>& coords)
{
	
	
	int xCoord,yCoord,x1Coord,y1Coord,x2Coord,y2Coord,x3Coord,y3Coord;
	string s;
	double a;
	bool b = true;
		cout<<"name?"<<endl;
		getline(cin,s);
		
		
		if(s=="Rectangle")
		{
		
		for(int i=0;i<4;i++)
		{
		cout<<"Please enter value of x"<<endl;
		cin>>xCoord;
		cout<<"Please enter value of y"<<endl;
		cin>>yCoord;
		
		coords.insert(xCoord,yCoord);
		}
		/*cout<<"Please enter value of x1"<<endl;
		cin>>x1Coord;
		cout<<"Please enter value of y1"<<endl;
		cin>>y1Coord;
		cout<<"Please enter value of x2"<<endl;
		cin>>x2Coord;
		cout<<"Please enter value of y2"<<endl;
		cin>>y2Coord;
		cout<<"Please enter value of x3"<<endl;
		cin>>x3Coord;
		cout<<"Please enter value of y3"<<endl;
		cin>>y3Coord;*/
		//Square sq(s,b,x,y);
		data.emplace_back(new Rectangle(s,b,xCoord,yCoord,x1Coord,y1Coord,x2Coord,y2Coord,x3Coord,y3Coord,a));
	}
	/*if(s=="Square")
		{
		cout<<"Please enter value of x"<<endl;
		cin>>xCoord;
		cout<<"Please enter value of y"<<endl;
		cin>>yCoord;
		cout<<"Please enter value of x1"<<endl;
		cin>>x1Coord;
		cout<<"Please enter value of y1"<<endl;
		cin>>y1Coord;
		cout<<"Please enter value of x2"<<endl;
		cin>>x2Coord;
		cout<<"Please enter value of y2"<<endl;
		cin>>y2Coord;
		cout<<"Please enter value of x3"<<endl;
		cin>>x3Coord;
		cout<<"Please enter value of y3"<<endl;
		cin>>y3Coord;
		//Square sq(s,b,x,y);
		data.emplace_back(new Square(s,b,xCoord,yCoord,x1Coord,y1Coord,x2Coord,y2Coord,x3Coord,y3Coord,a));
	}*/
		/*cout<<"name?"<<endl;
	
		getline(cin,s);
		cout<<"Please enter value of x"<<endl;
		cin>>x;
		cout<<"Please enter value of y"<<endl;
		cin>>y;
		
		//Square sq(s,b,x,y);
		newCoords.emplace_back(new Rectangle(s,b,x,y));
	*/
}
	


int main(int argc, char** argv) {
	
	//ShapeTwoD sh;
	stringstream stream;
	int choice;
	string choiceString; 
	vector<unique_ptr<ShapeTwoD>>shape;
	vector<Rectangle>coordinates;
	
	
	do{

	cout << "Welcome to Assn2" << endl;
	cout << "1)	Input sensor data" << endl;
	cout << "2)	Compute area (for all records)" << endl;
	cout << "3)	Print shapes report" << endl;
	cout << "4)	Sort shape data" << endl;
	cout << "5)	Quit" << endl;
	cout <<endl;
	cout << "Please enter your choice : ";
	
	stream.clear();//clears stringstream
	getline(cin,choiceString);//gets whole line of input and store it into a string
	stream.str(choiceString);//stores string into stringstream
	choice= atoi(stream.str().c_str());//convert string into int
				
	while(!(stream >> choice))//loop if convert from string to int fail
	{
			
	cout<<"Please enter a valid choice"<<endl;
	stream.clear();//clears stringstream
	getline(cin,choiceString);//gets whole line of input and store it into a string
	stream.str(choiceString);//stores string into stringstream
	choice= atoi(stream.str().c_str());//convert string into int
					
					
				}
	cout<<endl;
	cout<<endl;
	
	switch(choice)
	{
		case 1:
			{
				input(shape,coordinates);	
			}break;
		case 2:
			{
				compute(shape);
			}break;
		case 3:
			{
				print(shape);
			}break;
		case 4:
			{
			}break;
		case 5:
			{
			}break;
				}	
}while(choice!=5);	
	return 0;
}

ShapeTwoD.h
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	class ShapeTwoD {
		protected:
		string name;
		bool containsWarpspace;
		double area;
		int x,y;	
		
				
		public:
			ShapeTwoD();
			ShapeTwoD(string,bool,int,int,double);
			void setX(int);
			void setY(int);
			void setName(string);
			void setContainsWarpSpace(bool);
			virtual void setArea(double);
		 	virtual double getArea();
			string getName();
			int getX();
			int getY();
			bool getContainsWarpSpace();
			virtual double computeArea();
			virtual bool isPointInShape(int,int);
			virtual bool isPointOnShape(int,int);
			virtual string toString();
			
			
			
	};
	
	
	
	
	 
	#endif


ShapeTwoD.cpp
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#include "ShapeTwoD.h"



ShapeTwoD::ShapeTwoD()
{

}
ShapeTwoD::ShapeTwoD(string sName,bool contain, double sArea)
{
	setName(sName);
	setContainsWarpSpace(contain);
	setArea(sArea);
}

double ShapeTwoD::computeArea()
{
	cout<<"No area computation defined"<<endl;
}

bool ShapeTwoD::isPointInShape(int coordx,int coordy)
{
	
}

bool ShapeTwoD::isPointOnShape(int coordx,int coordy)
{
	
}

double ShapeTwoD::getArea()
{
	return area;
}



void ShapeTwoD::setArea(double sArea)
{
	area=sArea;
}
void ShapeTwoD::setName(string sName)
{
	name=sName;
}
void ShapeTwoD::setContainsWarpSpace(bool contain)
{
	containsWarpspace=contain;
}


bool ShapeTwoD::getContainsWarpSpace()
{
	return containsWarpspace;
}


string ShapeTwoD::toString()
{
	
}

Rectangle.h
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#include "ShapeTwoD.h"

class Rectangle:public ShapeTwoD{
		private:
		int x,y,x1,x2,x3,y1,y2,y3;
		double area;
		vector<Rectangle>rec;
		public:
		Rectangle();
		Rectangle(string,bool,int,int,double);
		//Rectangle(string,bool,int,int,int,int,int,int,int,int,double);
		double computeArea();
		string toString();
		void setArea(double);
		double getArea();
		int getX();
		int getY();
		vector<Rectangle> getRec();
		void setX(int);
		void setY(int);
		
	};


Rectangle.cpp
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#include "Rectangle.h"


Rectangle::Rectangle()
{
}
Rectangle::Rectangle(string sName,bool contain,int coordX, int coordY,double sArea):ShapeTwoD(sName,contain,sArea)
{
    setX(coordX);
	setY(coordY);	
}
int Rectangle::getX()
{
	return x;
}
int Rectangle::getY()
{
	return y;
}

vector<Rectangle> Rectangle::getRec()
{
	return rec;
}

double Rectangle::getArea()
{
	return area;
}



void Rectangle::setArea(double sArea)
{
	area=sArea;
}

void Rectangle::setX(int coordX)
{
	x=coordX;
}
void Rectangle::setY(int coordY)
{
	y=coordY;
}


double Rectangle::computeArea()
{
	double area;
	cout<<"I'm a rectangle"<<endl;
	
	area = ((sqrt(pow((x-x1),2)+(pow((y-y1),2)))+(sqrt(pow((x-x3),2)+(pow((y-y3),2))))));
	cout<<area<<endl;
	//setArea(area);
	return area;
}

string Rectangle::toString()
{
	ostringstream os;
	os<<"The area is:" <<area<<endl;
	string var =os.str();
	
	return var;
}
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