Imagine you implement a physics engine and are animating a particle.

At time t$=0,$ a particle begins at position $[123]$

It is moving with velocity $[312]$ per second. It has acceleration $[331]$ per second per second.

Using Euler integration, with a timestep of $1$ second, what is the position of the particle at time t$=2$ seconds $($i$.$e$.$ after $2$ time steps$)?$

Assume that acceleration is constant.

Assume that in each time step, updating position happens before updating velocity.

Enter your answer as integer values $($NO decimal point$)!$