What will I die from first, extreme heat exhaustion or being forced to go without sleep for a long time?

I live in Pennsylvania and we are going through the hottest temperatures ever recorded for this time of the year. I have to live in an attic and I am not allowed to have an air conditioner. I know that I am extremely heat sick, I get dizzy, I feel nauseous and I have been having horrible, excruciating headaches. But, I have also gone for three days now without so much as a minute of sleep because of the extreme heat. It is going to go to 100 degrees again tomorrow. So, my heat sickness is going to get even worse and I will have to go again without sleep. Between the heat exhaustion and sleep deprivation which one of the problems is more likely to be fatal to me? And how long might I have?