Here's a sample implementation of the game you described using HTML, CSS, and JavaScript. Save the following code in a single HTML file and open it in a web browser to play the game.
Please note that in the code above, I've used placeholder images for both the player and the monster. Replace these image URLs with your own images using the `background-image` property in the CSS.
To play the game, each room is represented by a box on the screen. Clicking on a room sets a trap in that room. The player (represented by a kitten image) will move automatically between rooms. The goal is to set a trap in the same room as the monster before the monster finds the player. The game output will be displayed at the bottom of the screen.
I hope this helps! Let me know if you have any further questions.