3rd Kyū

So far we've learned how to find the starting point.

The same approach can be used to find the endpoint.

The endpoint is always a square on the h-file or the 8th rank.

This time, consider tracing up-right (↗). By the same logic as before, whichever board edge is reached first determines the endpoint.

When the file value is less than the rank value, tracing up-right (↗) hits the 8th rank (top edge) first.

For example, with a bishop on d7, the maximum steps up-right is "8 - rank value" = 8 - 7 = 1. Adding 1 to the file gives 4 + 1 = 5, so the endpoint is e8.

Conversely, when the file value is greater than the rank value, the h-file (right edge) is reached first.

For example, with a bishop on f4, the maximum steps up-right is "8 - file value" = 8 - 6 = 2. Adding 2 to the rank gives 4 + 2 = 6, so the endpoint is h6.

When the file and rank values are equal, the endpoint is always h8.