Cellular Automata Cube Along Curve

Hi, 

I know its simple but I am stuck. need Help !

I am trying to generate a population of cubes which evolves with random rules and random population, I was able to achieve it with the help of Rabbit plugin and it gives me the exact random population I need. 

But I want that same population to evolve around the curve which I provide and should also have a range set to that in sense of evolution.

For eg: population of cube keeps on evolving/stacking vertically & horizontally as the time passes. 

so I want to set a range where it will keep on evolving horizontally and stop vertically at certain Range.

Achieved Result

Evolving Horizontal & Vertical

I want the population to flow along the curve with Range