In each iteration of the serial n-body solver, we first compute the total force on each particle, and then we compute the position and velocity of each particle. Would it be possible to reorganize the calculations so that in each iteration we did all of the calculations for each particle before proceeding to the next particle? That is, could we use the following pseudocode?

for each timestep

for each particle {

Compute total force on particle;

Find position and velocity of particle;

Print position and velocity of particle;

}

If so, what other modifications would we need to make to the solver? If not, why not?