Final answer:
The deficiency that this patient is most likely experiencing is Vitamin B1 (thiamine deficiency), which can manifest with diarrhea, nausea, vomiting, rash, memory problems, and depression.
Step-by-step explanation:
Based on the symptoms described, the deficiency that this patient is most likely experiencing is Vitamin B1, also known as thiamine deficiency. Thiamine deficiency is commonly seen in individuals who consume a diet mainly consisting of processed corn products and very little variety in their food choices. The patient's symptoms, including diarrhea, nausea, vomiting, rash, memory problems, and depression, align with the characteristic manifestations of thiamine deficiency. The presence of stomatitis, glossitis, and a rash over the arms and legs further support this diagnosis. Alcohol consumption can also contribute to thiamine deficiency.