Sure! Here's an example of a simple merge game implemented as a single HTML file with JavaScript. The game mechanics are similar to the popular game "2048". You can play it on a smartphone and use pictograms as game tiles. Just copy the code below and save it as an HTML file to play the game.
Merge Game
This implementation allows you to play the game on your smartphone by swiping the screen in the desired direction. However, note that swiping functionality is not directly provided in this code snippet. You would need to add touch event listeners and handle swipe gestures to trigger the appropriate mergeTile functions in each direction.