Alzheimer's and Heaven

Scenario: there is a very bad person. This person has done awful things. These things are things that Jesus Christ would look at with scorn. The person has alzheimer's disease. Therefore, this person, in their old age, has lost the memories about things perpetrated. Near death, the person believes in Jesus, and asks for forgiveness for the minor malevolent actions that the person can remember. These things include minor lying, cursing, etc... Obviously, none of these are that bad, relative to the aforementioned heinous acts. The person dies. The person meets with God or Jesus. The person has not asked forgiveness for the crimes against humanity. Does the person (Ronald Reagan) get to stick around in Heaven?