Min is definitely not as smart as she thinks - but then, neither am I, it seems. The problem is identified and should be fixed now, thanks to the sharpness of esdoubleuk. It was a recently added autosave feature not playing nice with everything else in the browser version.
I'm very sorry that you lost your progress, it sounds like you got your teeth into the game nicely. Thank you for your kind words, despite the frustration.
Do I understand correctly that you did finish the game, but are not sure if there were different endings possible? I can confirm that there's just the one ending - there's only one way Min's story could end up XD