Sure, here's a simple implementation of the game as a single HTML file using JavaScript and enclosed in script tags:
In this game, the player starts with an empty escape room and can add rooms with obstacles using the `addRoom` function. They can complete a room using the `completeRoom` function. The exit will automatically be unlocked once all rooms are completed. The game progresses with console logs indicating the actions taken.
Note: This is a simplified example to show the game logic. You can modify and enhance it further as per your requirements, adding pictograms and incorporating smartphone-specific interactions.