#include	<stdio.h>
#include	<math.h>
#define	NM	10			/* Maximum number of atoms */
#define	PM	((NM * NM) / 2)		/* Maximum number of pairs */
#define	KB	1.38e-23		/* Boltzmann Constant */
#define	EPS	(100.0 * KB)		/* energy unit */
#define	SIGMA	2.0e-10			/* length unit*/
#define	TDELTA	5.0e-15			/* increment of time step */
#define	WM	6.634e-26		/* mass of atom */
#define	TSTEP	100			/* the number of time step */
main()
{
	int	i, j, kstep, natom, npair, ip[PM], jp[PM];
	double	x[NM], y[NM], vx[NM], vy[NM];
	double	rx[PM], ry[PM], r[PM], rs;
	double	phi[PM], dphi[PM], dphix, dphiy;
	double	fx[NM], fy[NM];
	double	x1[NM], y1[NM], vx1[NM], vy1[NM];
	double	ep, ek;
	double	time;
	double	tau, tstep;

/* normalization unit for time*/
	tau = SIGMA * sqrt(WM / EPS);
	tstep = TDELTA / tau;

	natom = 10;
	for (i = 0; i < natom; i++) {
		scanf("%lf%lf%lf%lf", &x[i], &y[i], &vx[i], &vy[i]);
		x[i] /= SIGMA;
		y[i] /= SIGMA;
		vx[i] *= tau / SIGMA;
		vy[i] *= tau / SIGMA;
#ifdef ENERGY
	;
#else
		printf("%2d %15.8e %15.8e %15.8e %15.8e\n", 
			i, x[i], y[i], vx[i], vy[i]);
#endif
	}

	time = 0.0;	/* start time */
	for (kstep = 0; kstep < TSTEP; kstep++) {
	/* one step begins */
		fprintf(stderr, "(step)%5d\n", kstep);

		npair = 0;
		for (i = 0; i < natom - 1; i++) {
			for (j = i + 1; j < natom; j++) {
				rx[npair] = x[i] - x[j];
				ry[npair] = y[i] - y[j];
				r[npair] = sqrt(rx[npair] * rx[npair] 
						+ ry[npair] * ry[npair]);
				ip[npair] = i;
				jp[npair] = j;
				npair = npair + 1;
			}
		}
		fprintf(stderr, "(pair)%5d\n", npair);

		for (i = 0; i < natom; i++) {
			/* initialization of force vectors */
			fx[i] = 0.0; fy[i] = 0.0;
		}
		ep = 0.0; ek = 0.0;	/* initialization of energies */
		for (i = 0; i < npair; i++) {
			rs = 1.0 / r[i];
			phi[i] = 4.0 * (pow(rs, 12.0) - pow(rs, 6.0));
			dphi[i] = -24.0 * (2.0 * pow(rs, 13.0) 
							- pow(rs, 7.0));
			dphix = -dphi[i] * rx[i] / r[i];
			dphiy = -dphi[i] * ry[i] / r[i];
			fx[ip[i]] += dphix;
			fx[jp[i]] -= dphix;
			fy[ip[i]] += dphiy;
			fy[jp[i]] -= dphiy;
			ep += phi[i];	/* summation of pot. energy */
		}
		for (i = 0; i < natom; i++) {
			ek += (vx[i] * vx[i] + vy[i] * vy[i]);
		}
		ek *= 0.5 * WM * SIGMA * SIGMA / tau / tau;
		ep *= EPS;

		/* output of energies */
#ifdef ENERGY
		printf("%12.5e %12.5e %12.5e\n", time, ep, ek);
#endif

		for (i = 0; i < natom; i++) {
			vx1[i] = vx[i] + fx[i] * tstep;
			vy1[i] = vy[i] + fy[i] * tstep;
			x1[i] = x[i] + vx1[i] * tstep;
			y1[i] = y[i] + vy1[i] * tstep;
		}
		time += TDELTA;
		for (i = 0; i < natom; i++) {
#ifdef ENERGY
	;
#else
			printf("%2d %15.8e %15.8e %15.8e %15.8e\n", 
				i, x1[i] * SIGMA, y1[i] * SIGMA, 
				vx1[i] * SIGMA / tau, vy1[i] * SIGMA / tau);
#endif
		}
		for (i = 0; i < natom; i++) {
			x[i] = x1[i]; y[i] = y1[i];
			vx[i] = vx1[i]; vy[i] = vy1[i];
		}
	}
	/* one step ends */
}