/*********** STATIC memory allocation ************/
void tridiag(float *a, float *b, float *c, float *d, int n);
void main()
{
	float *at,*bt,*ct,*dt;
	float a[99],b[99],c[99],d[99];
	float vx[99999],vy[99999],vy1[99999],vy2[99999];
	float m[99],h[99],v[99],u[99],by[99];
	float dx,xx,x[99],y[99];
	int ii,i,j,n,nm,nplot;
	/**** Input ****/
	scanf("%d%d",&n,&nplot);
	nm=n-2;
	for(i=0;i<n;i++)scanf("%f%f",&x[i],&y[i]);

	for(i=0;i<n-1;i++)h[i]=x[i+1]-x[i];
	for(i=1;i<n-1;i++)u[i]=2.*(h[i-1]+h[i]);
	for(i=0;i<n-1;i++)by[i]=(y[i+1]-y[i])/h[i];
	for(i=1;i<n-1;i++)v[i]=6.*(by[i]-by[i-1]);

	at = (float *)malloc(n*sizeof(float));
	bt = (float *)malloc(n*sizeof(float));
	ct = (float *)malloc(n*sizeof(float));
	dt = (float *)malloc(n*sizeof(float));

	for(i=0;i<n-1;i++){
	   at[i]=h[i+1];
	   bt[i]=v[i+1];
	   ct[i]=h[i+1];
	   dt[i]=u[i+1];
	}

	tridiag(at,bt,ct,dt,nm);
	
	m[0]=m[n-1]=0.;
	for(i=0;i<n-1;i++)m[i+1]=bt[i];
	/* for(i=0;i<n;i++)printf(">> %d %f \n",i,m[i]); */

	for(i=0;i<n-1;i++) {
	   a[i]=(m[i+1]-m[i])/(6.*h[i]);
           b[i]=(m[i]*x[i+1]-m[i+1]*x[i])/(2.*h[i]);
	   c[i]=(m[i+1]*x[i]*x[i]-m[i]*x[i+1]*x[i+1])/(2.*h[i]) +
	        (y[i+1]-y[i])/h[i] + (m[i]*h[i]-m[i+1]*h[i])/6.;
           d[i]=(m[i]*x[i+1]*x[i+1]*x[i+1]-m[i+1]*x[i]*x[i]*x[i])/(6.*h[i]) +
	        (y[i]*x[i+1]-y[i+1]*x[i])/h[i] + (m[i+1]*h[i]*x[i]-m[i]*h[i]*x[i+1])/6.;
	}
	/* Set Plot Vectors */
	ii=-1;
	for(i=0;i<n-1;i++){
	   dx=x[i+1]-x[i];
	   xx=nplot-1.;
	   dx=dx/xx;
	   for(j=0;j<nplot;j++){
	      ii +=1;
	      xx=x[i]+j*dx;
	      vx[ii]=xx;
	      vy[ii]=a[i]*xx*xx*xx+b[i]*xx*xx+c[i]*xx+d[i];
	      vy1[ii]=3.*a[i]*xx*xx+2.*b[i]*xx+c[i];
	      vy2[ii]=6.*a[i]*xx+2.*b[i];
	   }
	}
	for(i=0;i<ii;i++)printf("%f %f %f %f\n",vx[i],vy[i],vy1[i],vy2[i]);
}
void tridiag(float *a, float *b, float *c, float *d, int n)
{
	int i,j;
	float dd;

	for(i=1;i<n;i++){
	   dd=a[i-1]/d[i-1];
	   d[i]=d[i]-dd*c[i-1];
	   b[i]=b[i]-dd*b[i-1];
	}
	b[n-1]=b[n-1]/d[n-1];
	for(i=0;i<n-1;i++){
	   b[n-i-2]=(b[n-i-2]-c[n-i-2]*b[n-i-1])/d[n-i-2];
	}
	return;
}