I don't think I meet the residency requirements of any state I was in this year. What do I tell the IRS?

I lived in Minnesota for 135 days, New York for 103, and Michigan for 54. The rest of the time I was traveling. My parents own a home in Minnesota that I stayed at while I was there. What do I put under 'state of residence'?

*Edit: I just realized Form 1040 doesn't actually ask for a state of residence. It asks for an address, and I can just put the address I have on my W-2s. But TurboTax does ask for a state. Why is that, and what should I enter?