Rohan Shewale's Blog

Fence Post Problem 🚧

March 06, 2025 | 1 Minute Read

The “Fence Post Problem” is a classic off-by-one error that frequently appears in computer science and programming. It describes a common scenario where the number of elements in a sequence (consider the “post” of a fence) differs from the number of intervals or connections between them (consider the sections of a fence). Typically, for n posts, there are n-1 sections. Misunderstanding this simple relationship can lead to bugs when calculating iterations, array bounds, or resource allocations.

If a fence has 3 post () it would need only 2 pieces of connecting wood between them (=) i.e. ⧘=⧘=⧘

 ⧘=⧘        2 post will need 1 connecting wood
 ⧘=⧘=⧘      3 post will need 2 connecting wood
 ⧘=⧘=⧘=⧘    4 post will need 3 connecting wood
 ⧘=⧘=⧘=⧘=⧘   5 post will need 4 connecting wood
 ⧘         1 post will need 0 connecting wood

Similarly, if there 5 elements laid out, there would be 4 gaps between them and the total gap will be sum of the childGap value

total gap = (number of elements - 1) * childGap