The correct answer to this open question is the following.
The facts we know about Homo Sapiens and Neanderthals tell different stories about how hominids developed in that the adaptation of both species contributed to better development of Homo Sapiens in comparison to the Neanderthal. The Neanderthal was thicker than the Homo Sapiens and shorter, and scientists think that they breathed cold air from the harsh weather of that time. They had larger skulls buy anthropologists differ in how this affected or benefited its cognitive aspect.