The probability distribution p PCHB 2 (I) is displayed in Figure . The symmetry of repeating fragments is visible in the probabilities and the fragments at the border have slightly different behavior than the fragments in "bulk". However, overall it is a near-uniform distribution. For this reason, p uni 2 (I)| I∈|D i is likely the best choice for the first particle, cheaply guaranteeing I to be occupied. This paragraph is about qualitative trends and gives robust rules of thumb for selecting the sampling methods. It is still necessary to measure timings with the system at hand, as can be seen in the numerical results of Section 5. (J|I) to sample the second particle is displayed in Figure . The left, non-logarithmic plot (Figure ) shows that the correlation is highly local.