ID Which Mint Made Your Mint Rolls?

I have been picking up a roll or two here and there of Presidential dollar coins from the banks when they have a fresh roll. I call them bank rolls. I guess I will not call them "US mint rolls". Anyway they come in red, white, and blue rolls from N.F. String & Son, Inc. (Harrisburg, PA) and since I cannot see a date or mintmark due to that being on the edge, I just assumed they were from Denver since I live in Nevada.

Then I found out about the mint direct ship program and bought some of those in $250 dollar boxes. And I get the exact same type of rolls from that shipment. It does have the presidents name printed on them just in case both end coins are facing the wrong way to ID. It came from the Memphis, TN fulfillment center but I don't know if that means anything. For one, I cannot seem to find out where TN gets their coins from. Everything online just tells me that the west side of the US is supplied by Denver, and the East by PA. Anyone know exactly what states get their coins from where?

I was hoping to just hang on to a roll or two from each mint, but don't have any way to tell. Anyone have any tricks to determine this? Or does anyone have PA roll coins they want to trade for Denver roll coins in these type of rolls "once opened" to verify if they are D or P coins?

I hate to crack them open, but don't know what else to do to see what mintmarks I have.

Thanks for any info.
Mitch