| # Counting Connected Components Dataset Generation | |
| ## Goal | |
| Generate images of a large grid (e.g., 80x80 to 150x150) where scattered dots are connected by lines to form several distinct connected components — groups of dots linked together by drawn edges. | |
| The diameter of each dot should be about 3 unit lengths. Enforce a minimum gap of at least distance of 5 unit length between any two dots so they are unambiguously separated. | |
| Each component does not necessary stay in the same region. Dots from different components can intersect with each other, but are connected with other dots under the same components. | |
| The connection edge should not get across any other dots to avoid ambiguity. | |
| Render PNG files and the question is asking how many connected components are there. |