Conway's Game of Life

Build Conway's Game of Life on a canvas with a 60 by 40 grid and finite, non-wrapping boundaries. Use HTML, CSS, and JavaScript as needed. Write it to `index.html` in the current working directory using your file tools. Inline your own CSS and JavaScript. Do not use external assets, CDNs, or network requests. No third-party libraries are provided. Required behavior: - Apply the standard rules simultaneously: a live cell survives with two or three live neighbors, and a dead cell becomes live with exactly three. Treat cells outside the grid as dead. - Start paused with a visible blinker pattern. Provide Play/Pause, Step, Randomize, and Clear, plus a generation counter. - While paused, clicking toggles a cell. On a drag, choose painting alive or dead from the first cell and apply that same state to each visited cell, without repeatedly toggling it. - Step advances exactly one generation while paused. Randomize and Clear leave the simulation paused and reset the generation counter; Clear removes all live cells. - Fit the grid and controls within the viewport while keeping cells distinguishable. Verify: Step the initial blinker twice and compare its alternating arrangements. Paint a short stroke while paused and check consistent cell painting, then use Clear and confirm the grid and generation counter reset.