/* Copyright (c) <2009> <Newton Game Dynamics>
* 
* This software is provided 'as-is', without any express or implied
* warranty. In no event will the authors be held liable for any damages
* arising from the use of this software.
* 
* Permission is granted to anyone to use this software for any purpose,
* including commercial applications, and to alter it and redistribute it
* freely
*/

/* 
   The Computer Language Benchmarks Game
   http://shootout.alioth.debian.org/

   contributed by Mark C. Lewis
   modified slightly by Chad Whipkey
*/

/*
public final class nbody 
{
    public static void main(String[] args) 
	{
        int n = Integer.parseInt(args[0]);

        NBodySystem bodies = new NBodySystem();
        System.out.printf("%.9f\n", bodies.energy());
        for (int i=0; i<n; ++i)
           bodies.advance(0.01);
        System.out.printf("%.9f\n", bodies.energy());
    }
}
*/
/*
final class NBodySystem 
{
   private Body[] bodies;

   public NBodySystem()
   {
      bodies = new Body[] {Body.sun(), Body.jupiter(), Body.saturn(), Body.uranus(), Body.neptune()};

      double px = 0.0;
      double py = 0.0;
      double pz = 0.0;
      for(int i=0; i < bodies.length; ++i) {
         px += bodies[i].vx * bodies[i].mass;
         py += bodies[i].vy * bodies[i].mass;
         pz += bodies[i].vz * bodies[i].mass;
      }
      bodies[0].offsetMomentum(px,py,pz);
   }

   public void advance(double dt) 
   {

      for(int i=0; i < bodies.length; ++i) {
         Body iBody = bodies[i];
         for(int j=i+1; j < bodies.length; ++j) {
            double dx = iBody.x - bodies[j].x;
            double dy = iBody.y - bodies[j].y;
            double dz = iBody.z - bodies[j].z;

            double dSquared = dx * dx + dy * dy + dz * dz;
            double distance = Math.sqrt(dSquared);
            double mag = dt / (dSquared * distance);

            iBody.vx -= dx * bodies[j].mass * mag;
            iBody.vy -= dy * bodies[j].mass * mag;
            iBody.vz -= dz * bodies[j].mass * mag;

            bodies[j].vx += dx * iBody.mass * mag;
            bodies[j].vy += dy * iBody.mass * mag;
            bodies[j].vz += dz * iBody.mass * mag;
         }
      }

      for ( Body body : bodies) {
         body.x += dt * body.vx;
         body.y += dt * body.vy;
         body.z += dt * body.vz;
      }
   }

   public double energy()
   {
      double dx, dy, dz, distance;
      double e = 0.0;

      for (int i=0; i < bodies.length; ++i) {
            Body iBody = bodies[i];
            e += 0.5 * iBody.mass * ( iBody.vx * iBody.vx + iBody.vy * iBody.vy + iBody.vz * iBody.vz );

			for (int j=i+1; j < bodies.length; ++j) {
                Body jBody = bodies[j];
                dx = iBody.x - jBody.x;
				dy = iBody.y - jBody.y;
				dz = iBody.z - jBody.z;

				distance = Math.sqrt(dx*dx + dy*dy + dz*dz);
				e -= (iBody.mass * jBody.mass) / distance;
			}
      }
      return e;
   }
}
*/

final class Body 
{
   static final double PI = 3.141592653589793;
   static final double SOLAR_MASS = 4 * PI * PI;
   static final double DAYS_PER_YEAR = 365.24;
   public double x, y, z, vx, vy, vz, mass;
/*
   public Body()
   {
   }

   static Body jupiter()
   {
      Body p = new Body();
      p.x = 4.84143144246472090e+00;
      p.y = -1.16032004402742839e+00;
      p.z = -1.03622044471123109e-01;
      p.vx = 1.66007664274403694e-03 * DAYS_PER_YEAR;
      p.vy = 7.69901118419740425e-03 * DAYS_PER_YEAR;
      p.vz = -6.90460016972063023e-05 * DAYS_PER_YEAR;
      p.mass = 9.54791938424326609e-04 * SOLAR_MASS;
      return p;
   }

   static Body saturn()
   {
      Body p = new Body();
      p.x = 8.34336671824457987e+00;
      p.y = 4.12479856412430479e+00;
      p.z = -4.03523417114321381e-01;
      p.vx = -2.76742510726862411e-03 * DAYS_PER_YEAR;
      p.vy = 4.99852801234917238e-03 * DAYS_PER_YEAR;
      p.vz = 2.30417297573763929e-05 * DAYS_PER_YEAR;
      p.mass = 2.85885980666130812e-04 * SOLAR_MASS;
      return p;
   }

   static Body uranus()
   {
      Body p = new Body();
      p.x = 1.28943695621391310e+01;
      p.y = -1.51111514016986312e+01;
      p.z = -2.23307578892655734e-01;
      p.vx = 2.96460137564761618e-03 * DAYS_PER_YEAR;
      p.vy = 2.37847173959480950e-03 * DAYS_PER_YEAR;
      p.vz = -2.96589568540237556e-05 * DAYS_PER_YEAR;
      p.mass = 4.36624404335156298e-05 * SOLAR_MASS;
      return p;
   }

   static Body neptune()
   {
      Body p = new Body();
      p.x = 1.53796971148509165e+01;
      p.y = -2.59193146099879641e+01;
      p.z = 1.79258772950371181e-01;
      p.vx = 2.68067772490389322e-03 * DAYS_PER_YEAR;
      p.vy = 1.62824170038242295e-03 * DAYS_PER_YEAR;
      p.vz = -9.51592254519715870e-05 * DAYS_PER_YEAR;
      p.mass = 5.15138902046611451e-05 * SOLAR_MASS;
      return p;
   }

   static Body sun()
   {
      Body p = new Body();
      p.mass = SOLAR_MASS;
      return p;
   }
*/
   Body offsetMomentum(double px, double py, double pz)
   {
      vx = -px / SOLAR_MASS;
      vy = -py / SOLAR_MASS;
      vz = -pz / SOLAR_MASS;
      return this;
   }
}