I've added labels at the collision points showing the exact number of IDs needed for 50% and 99% collision probability. The labels appear above each intersection point with a semi-transparent background for better readability, and they use abbreviated formatting (K for thousands, M for millions) to keep them concise while displaying the precise collision threshold values.

I've updated the favicon to use a chart emoji (📊) which better represents the statistical and data visualization nature of the Birthday Paradox calculator. The favicon is implemented as an inline SVG with the chart emoji, replacing the default Next.js favicon with something more relevant to the app's purpose.