The first day you have to walk one street to find a dedicated shitting street. The second day this street is so full of poo that you'll have to walk two streets to find a dedicated shitting street. And so on. The nth day all the n-1 previous street are filled with poo and you'll have to take the nth street. If you do this for all eternity then it is effectively as if you just walked 1/12 of a street backwards and pooed in the loo.