#include <bits/stdc++.h>


using namespace std;

//float  dx, dy;
float pa, pb, qa, qb, ra, rb, sa, sb;

void dl(float  xa, float ya, float xb, float yb)
{
	float xI, yI, x, y, dx, dy;
	int i;

	dx = xb-xa;
	dy = yb-ya;
	x = xa;
	y = ya;
	xI = dx / 10000.0;
	yI = dy / 10000.0;
        
//	cout << xa << " " << ya << " " <<  endl;
	for (i = 0; i < 10000; i++) {
		x += xI;
		y += yI;
		//glVertex3f(x, y, 0.1);
	}
//cout <<"HI";
}

void change_to(float xa, float ya, float xb, float yb) 
{
	float za, zb;
	float x1, y1, z1, x2, y2, z2, theta;
	theta =  M_PI/2 - atan(0.1);
//	theta = -theta;
	x1 = xa;
	y1 = ya * cos(theta);
	z1 = ya * sin(theta);
	x2 = xb;
	y2 = yb * cos(theta);
	z2 = yb * sin(theta);
	
	za = z1 + sqrt(1.0100);
	zb = z2 + sqrt(1.0100);
	xa = (xa / za) * 1;
	ya = (y1 / za) * 1;
	xb = (xb / zb) * 1;
	yb = (y2 / zb) * 1;
        
	cout << xa << " " << ya << endl;
	dl(xa, ya, xb, yb );
}
		
void func() {
	//glClearColor(0, 0, 0, 0);
	//glClear(GL_COLOR_BUFFER_BIT);
	//glColor3f(1, 1, 1);
	//glBegin(GL_POINTS);
	//glOrtho(-1.0, 1.0, -1.0, 1.0, -1.0, 1.0);	
	change_to(pa, pb, qa, qb);
	change_to(qa, qb, sa, sb);
	change_to(sa, sb, ra, rb);
	change_to(ra, rb, pa, pb);
	change_to(-0.050, 0.0, -0.050,0.500);
	change_to(-0.150,0.0, -0.500,0.400);
	change_to(-0.500,0.400, -0.100,0.700);
	change_to(-0.050, 0.0, -0.400,0.400);
	change_to(-0.400, 0.400 ,-0.100,0.600);
	change_to(0.050, 0.0, 0.050,0.500);
        change_to(0.150,0.0, 0.500,0.400);
        change_to(0.500,0.400, 0.100,0.700);
        change_to(0.050, 0.0, 0.400,0.400);
        change_to(0.400, 0.400 ,0.100,0.600);

	
}
void merge(int arr[], int l, int m, int r);
void mergeSort(int arr[], int l, int r)
{
   if (l < r)
   {
      int m = l+(r-l)/2; //Same as (l+r)/2 but avoids overflow for large l & h
      mergeSort(arr, l, m);
      mergeSort(arr, m+1, r);
      merge(arr, l, m, r);
   }
}
void merge(int arr[], int l, int m, int r)
{
    int i, j, k;
    int n1 = m - l + 1;
    int n2 =  r - m;
 
    /* create temp arrays */
    int L[n1], R[n2];
 
    /* Copy data to temp arrays L[] and R[] */
    for (i = 0; i < n1; i++)
        L[i] = arr[l + i];
    for (j = 0; j < n2; j++)
        R[j] = arr[m + 1+ j];
 
    /* Merge the temp arrays back into arr[l..r]*/
    i = 0;
    j = 0;
    k = l;
    while (i < n1 && j < n2)
    {
        if (L[i] <= R[j])
        {
            arr[k] = L[i];
            i++;
        }
        else
        {
            arr[k] = R[j];
            j++;
        }
        k++;
    }
 
    while (i < n1)
    {
        arr[k] = L[i];
        i++;
        k++;
    }
 	for (i = 0; i < 49; i++) {
 		
 	}
    while (j < n2)
    {
        arr[k] = R[j];
        j++;
        k++;
    }
}

int main(int argc, char ** argv)
{	
	pa =  -0.100; pb = 0.700;
	qa = -0.100; qb =0.500;
	ra = 0.100; rb = 0.700;
	sa = 0.100; sb =0.500;
	func();
	
	//cout << "-50\n0\n-50\n500\n-150\n0\n-500\n400\n-500\n400\n-100\n700\n;
       // cout <<"-0.150 0.0  -0.500 0.400";
        //dl(-0.500,0.400, -0.100,0.700);
        //dl(-0.050, 0.0, -0.400,0.400);
        //dl(-0.400, 0.400 ,-0.100,0.600);
       // dl(0.050, 0.0, 0.050,0.500);
        //dl(0.150,0.0, 0.500,0.400);
        //dl(0.500,0.400, 0.100,0.700);
        //dl(0.050, 0.0, 0.400,0.400);
        //dl(0.400, 0.400 ,0.100,0.600);


//	cout << "HI";
	//glEnd();
	//glFlush();
	int arr[] = {12, 11, 13, 5, 6, 7};
    int arr_size = sizeof(arr)/sizeof(arr[0]);
    mergeSort(arr, 0, arr_size - 1);
 


	return 0;
}