First come

First Come, First Served

This path will have a limited number of adventures and hc bm restrictions without the special adventures. And it's a 2500 rollover adventures set limit.

The daily adventures would be doled out evenly to all players logged in within three minutes of rollover.
So  rollover ended at 9:35:43 between that time and 9:38:43 400 players logged in. Each player would get 2500/400 rollover adventures (rounded down). Everyone else would get none.

There is a twist to that however. Three actually. And those are the three varieties of Placeholders you can get via Mr.Store.

The Mr. Store path item would be a placeholder called A Placard. It would artificially be as if you logged in and would last for a week. Or until you ascend whichever comes first. It would be untradable and cost 1 Mr. Accessory
 Alternatively you could buy a 1day placeholder called a Cut for an Uncle Buck. Cuts are untradable.

The third variety is a 1day placeholder called a Spot.  These would be tradeable and may be purchased from Mr. Store: 1 Golden Mr. Accessory for 30 Spots.

When any of the placeholders are used and the player misses the three minutes window they will still get their portion of adventures. Say 500 players log in during the three minutes window after rollover and 33 other players who did not log in, but did have either a Spot a Placard or purchased a Cut. Then eligible player would receive 2500/533 adventures from that rollover.