[ Josuke squints and squints, and as luck would have it - there is something. Scattered on the floor next to the map and the opening of the hallway is a flashlight with a shattered bulb, which he crouches down to pick up. Once he touches it, the scattered fragments levitate and rearrange themselves back into place, the flashlight repairing itself like a puzzle as if by magic. ]

C'mon, turn on, turn on... [ He smacks the flashlight on the side a few times until - voila! - it turns on, giving the pair of them a nice, bright (albeit small) light to illuminate the way. ] Yes! Lucky. Good thing it still had batteries in it.

[ That seemed to have brightened his mood a little; he smiles, almost bashfully, shining the light on the map in front of them. Does he offer an explanation for his fix it felix-ing? No, but he figures this guy is probably battle-worn with the way he carries himself, so he doesn't want to embarrass himself by making his ability seem bigger than it is. So, he rambles on: ]

Here, uh, now we can figure out where to check. Maybe the cafeteria is a good start...?