import math

BODIES = 5
PI = 3.141592653589793
SOLAR_MASS = 4.0 * PI * PI
DAYS_PER_YEAR = 365.24

x = [0.0]*BODIES; y = [0.0]*BODIES; z = [0.0]*BODIES
vx = [0.0]*BODIES; vy = [0.0]*BODIES; vz = [0.0]*BODIES
mass = [0.0]*BODIES

def init_bodies():
    mass[0] = SOLAR_MASS

    x[1]=4.84143144246472090e+00; y[1]=-1.16032004402742839e+00; z[1]=-1.03622044471123109e-01
    vx[1]=1.66007664274403694e-03*DAYS_PER_YEAR; vy[1]=7.69901118419740425e-03*DAYS_PER_YEAR; vz[1]=-6.90460016972063023e-05*DAYS_PER_YEAR
    mass[1]=9.54791938424326609e-04*SOLAR_MASS

    x[2]=8.34336671824457987e+00; y[2]=4.12479856412430479e+00; z[2]=-4.03523417114321381e-01
    vx[2]=-2.76742510726862411e-03*DAYS_PER_YEAR; vy[2]=4.99852801234917238e-03*DAYS_PER_YEAR; vz[2]=2.30417297573763929e-05*DAYS_PER_YEAR
    mass[2]=2.85885980666130812e-04*SOLAR_MASS

    x[3]=1.28943695621391310e+01; y[3]=-1.51111514016986312e+01; z[3]=-2.23307578892655734e-01
    vx[3]=2.96460137564761618e-03*DAYS_PER_YEAR; vy[3]=2.37847173959480950e-03*DAYS_PER_YEAR; vz[3]=-2.96589568540237556e-05*DAYS_PER_YEAR
    mass[3]=4.36624404335156298e-05*SOLAR_MASS

    x[4]=1.53796971148509165e+01; y[4]=-2.59193146099879641e+01; z[4]=1.79258772950371181e-01
    vx[4]=2.68067772490389322e-03*DAYS_PER_YEAR; vy[4]=1.62824170038242295e-03*DAYS_PER_YEAR; vz[4]=-9.51592254519715870e-05*DAYS_PER_YEAR
    mass[4]=5.15138902046611451e-05*SOLAR_MASS

    px=py=pz=0.0
    for i in range(BODIES):
        px += vx[i]*mass[i]; py += vy[i]*mass[i]; pz += vz[i]*mass[i]
    vx[0] = -px/SOLAR_MASS; vy[0] = -py/SOLAR_MASS; vz[0] = -pz/SOLAR_MASS

def advance(dt):
    for i in range(BODIES):
        for j in range(i+1, BODIES):
            dx = x[i]-x[j]; dy = y[i]-y[j]; dz = z[i]-z[j]
            d2 = dx*dx + dy*dy + dz*dz
            mag = dt / (d2 * math.sqrt(d2))
            vx[i] -= dx*mass[j]*mag; vy[i] -= dy*mass[j]*mag; vz[i] -= dz*mass[j]*mag
            vx[j] += dx*mass[i]*mag; vy[j] += dy*mass[i]*mag; vz[j] += dz*mass[i]*mag
    for i in range(BODIES):
        x[i] += dt*vx[i]; y[i] += dt*vy[i]; z[i] += dt*vz[i]

def energy():
    e = 0.0
    for i in range(BODIES):
        e += 0.5*mass[i]*(vx[i]*vx[i]+vy[i]*vy[i]+vz[i]*vz[i])
        for j in range(i+1, BODIES):
            dx = x[i]-x[j]; dy = y[i]-y[j]; dz = z[i]-z[j]
            distance = math.sqrt(dx*dx+dy*dy+dz*dz)
            e -= (mass[i]*mass[j])/distance
    return e

init_bodies()
print(f"{energy():.9f}")
for _ in range(2000000):
    advance(0.01)
print(f"{energy():.9f}")