Home License -- for personal use only. Not for government, academic, research, commercial, or other organizational use. 07-Oct-2025 23:30:49 percolation_simulation_test(): MATLAB/Octave version 9.11.0.2358333 (R2021b) Update 7 percolation_simulation() simulates percolation. A rectangular region is formed by a grid of M x N squares. Each square may be porous or solid. We are interested in paths of porous squares connecting the top and bottom, or the left and right boundaries. Grid uses 32 rows x 32 columns Prescribed probability of occupation = 0.57 plist = 2 1 plist = 3 2 plist = 4 4 plist = 5 4 plist = 6 4 plist = 6 4 5 3 6 5 plist = 6 4 5 3 6 5 4 6 6 6 plist = 6 4 5 3 6 5 4 6 6 6 4 7 6 8 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 4 14 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 5 16 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 6 14 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 7 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 8 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 9 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 10 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 11 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 11 14 12 17 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 12 11 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 13 12 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 13 12 13 13 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 13 12 13 13 13 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 13 12 13 13 14 15 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 10 13 12 13 12 12 13 12 14 13 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 10 8 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 11 4 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 11 3 12 5 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 11 3 12 5 12 7 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 11 3 12 5 12 7 12 8 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 12 3 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 12 3 10 2 12 2 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 12 3 10 2 12 2 10 1 12 1 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 12 3 10 2 12 2 7 2 8 1 9 5 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 3 16 6 16 6 15 7 14 11 17 11 16 12 15 12 14 8 13 8 12 8 11 8 10 10 10 8 8 11 8 11 7 9 6 11 6 9 5 11 5 12 3 10 2 12 2 7 2 8 1 9 5 7 6 9 6 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 3 11 2 14 5 14 5 15 1 16 2 18 plist = 6 4 5 3 6 5 4 6 6 6 4 7 7 8 7 9 4 10 3 11 4 10 2 12 4 10 plist = 7 19 plist = 6 23 8 23 plist = 6 23 8 23 8 24 plist = 6 23 8 23 9 23 plist = 4 23 3 22 4 21 2 23 3 22 2 25 4 25 plist = 4 23 3 22 4 21 2 23 3 22 2 25 5 26 plist = 4 23 3 22 4 21 2 23 3 22 2 25 6 26 plist = 3 28 5 28 plist = 2 30 plist = 3 30 plist = 1 20 3 20 plist = 2 32 plist = 5 31 plist = 8 31 plist = 8 31 8 32 plist = 8 31 9 31 plist = 8 31 10 31 plist = 10 26 plist = 11 26 plist = 11 26 11 27 plist = 11 26 11 27 9 28 11 28 plist = 11 26 11 27 9 28 11 28 9 29 11 29 plist = 11 26 11 27 9 28 11 28 9 29 12 29 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 30 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 12 25 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 13 25 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 13 25 13 24 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 13 25 13 24 11 23 13 23 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 13 25 13 24 11 23 13 23 13 22 plist = 11 26 11 27 9 28 11 28 9 29 12 29 11 28 12 26 13 25 13 24 11 23 13 23 14 23 plist = 13 20 plist = 14 18 plist = 15 18 plist = 16 18 plist = 16 18 16 19 plist = 16 18 16 19 14 21 16 21 plist = 16 18 16 19 14 21 17 21 plist = 16 18 16 19 14 21 17 21 17 22 plist = 16 18 16 19 14 21 17 21 18 21 plist = 16 18 16 19 14 21 17 21 19 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 19 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 20 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 21 22 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 22 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 23 17 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 24 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 25 23 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 24 25 26 25 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 25 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 25 29 22 30 22 32 24 32 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 26 28 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 27 30 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 28 32 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 29 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 30 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 31 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 31 29 31 28 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 31 29 32 28 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 25 22 23 25 23 26 25 27 25 28 26 29 28 30 28 31 26 32 29 32 29 30 31 29 32 28 32 29 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 26 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 26 21 26 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 26 21 27 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 26 21 28 20 plist = 16 18 16 19 14 21 17 21 19 21 19 20 17 19 19 18 21 21 22 21 23 20 23 19 23 18 21 17 24 18 25 20 25 21 23 22 25 22 23 23 26 23 26 22 26 21 28 19 29 21 plist = 16 18 16 19 14 21 17 21 19 21 19 20 15 16 17 16 plist = 16 18 16 19 14 21 17 21 19 21 19 20 15 16 17 16 17 15 plist = 16 18 16 19 14 21 17 21 19 21 19 20 15 16 17 16 18 15 plist = 17 26 plist = 17 26 17 27 plist = 17 26 17 27 15 29 17 29 plist = 17 26 18 26 plist = 17 26 18 26 18 25 plist = 17 26 18 26 18 25 18 24 plist = 17 26 18 26 18 25 19 26 plist = 14 6 plist = 15 6 plist = 15 6 15 5 plist = 15 6 16 5 plist = 15 6 16 5 15 4 16 6 plist = 15 6 16 5 15 4 16 6 16 7 plist = 15 6 16 5 15 4 16 6 17 7 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 11 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 18 11 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 19 4 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 19 4 14 3 14 2 14 1 16 1 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 9 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 21 11 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 22 12 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 23 12 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 23 12 21 10 23 10 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 23 12 21 10 23 10 21 8 23 8 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 23 12 21 10 23 10 21 8 24 8 plist = 15 6 16 5 15 4 16 6 17 7 16 6 15 9 17 9 17 9 19 9 19 8 17 7 19 7 19 6 17 5 19 5 17 4 20 4 20 5 20 6 20 7 20 8 20 8 21 10 22 11 21 10 23 12 21 10 23 10 21 8 25 8 plist = 22 3 plist = 23 4 plist = 24 4 plist = 25 13 plist = 26 13 plist = 26 5 plist = 27 2 plist = 28 3 plist = 28 3 28 4 plist = 28 3 29 4 plist = 28 3 29 4 28 3 29 5 plist = 28 3 29 4 28 3 29 5 27 6 29 6 plist = 28 3 29 4 28 3 29 5 27 6 30 6 plist = 28 3 29 4 28 3 29 5 27 6 30 6 30 5 plist = 28 3 29 4 28 3 29 5 27 6 30 6 31 6 plist = 28 3 29 4 28 3 29 5 27 6 30 6 31 6 31 7 plist = 28 3 29 4 28 3 29 5 27 6 30 6 31 6 32 6 plist = 29 9 plist = 30 10 plist = 31 10 plist = 32 10 plist = 32 10 30 12 32 12 plist = 32 10 30 12 32 12 30 13 32 14 plist = 32 10 30 12 32 12 30 13 32 14 30 15 32 16 plist = 32 10 30 12 32 12 29 13 27 16 29 16 plist = 30 23 32 23 plist = 30 2 plist = 31 3 Total number of sites = 1024 Number of occupied sites = 604 Observed probability of occupation = 0.589844 Number of components = 46 Mean component size = 13.0217 component size distribution Size Number Probability 1 20 0.444444 2 6 0.133333 3 2 0.0444444 4 3 0.0666667 5 1 0.0222222 6 2 0.0444444 7 1 0.0222222 9 1 0.0222222 10 1 0.0222222 14 1 0.0222222 20 1 0.0222222 29 1 0.0222222 30 2 0.0444444 83 1 0.0222222 150 2 0.0444444 Number of horizontal spanning components = 0 Number of vertical spanning components = 0 Graphics saved as "occupation.png" k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 19 k = 19 k = 19 k = 0 k = 19 k = 0 k = 0 k = 24 k = 0 k = 0 k = 0 k = 0 k = 32 k = 0 k = 0 k = 41 k = 0 k = 0 k = 45 k = 0 k = 1 k = 1 k = 0 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 19 k = 19 k = 0 k = 0 k = 19 k = 0 k = 23 k = 0 k = 0 k = 28 k = 0 k = 0 k = 32 k = 32 k = 0 k = 41 k = 41 k = 0 k = 45 k = 0 k = 0 k = 1 k = 0 k = 1 k = 0 k = 0 k = 1 k = 0 k = 0 k = 1 k = 1 k = 0 k = 19 k = 19 k = 19 k = 19 k = 19 k = 0 k = 0 k = 25 k = 25 k = 0 k = 25 k = 0 k = 0 k = 32 k = 32 k = 0 k = 41 k = 41 k = 0 k = 0 k = 0 k = 1 k = 1 k = 1 k = 1 k = 0 k = 1 k = 0 k = 1 k = 1 k = 0 k = 18 k = 0 k = 19 k = 0 k = 19 k = 19 k = 19 k = 19 k = 0 k = 25 k = 25 k = 25 k = 0 k = 0 k = 32 k = 32 k = 32 k = 0 k = 0 k = 0 k = 0 k = 0 k = 1 k = 0 k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 0 k = 0 k = 0 k = 0 k = 30 k = 30 k = 0 k = 32 k = 32 k = 32 k = 0 k = 32 k = 0 k = 6 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 19 k = 19 k = 19 k = 19 k = 0 k = 19 k = 19 k = 19 k = 0 k = 0 k = 0 k = 19 k = 0 k = 0 k = 32 k = 32 k = 32 k = 32 k = 32 k = 32 k = 0 k = 6 k = 0 k = 1 k = 1 k = 0 k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 0 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 0 k = 19 k = 0 k = 0 k = 0 k = 0 k = 0 k = 32 k = 32 k = 0 k = 0 k = 0 k = 1 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 19 k = 0 k = 19 k = 0 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 0 k = 38 k = 0 k = 0 k = 0 k = 0 k = 33 k = 1 k = 1 k = 1 k = 0 k = 0 k = 1 k = 1 k = 0 k = 1 k = 0 k = 1 k = 0 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 19 k = 0 k = 19 k = 0 k = 19 k = 0 k = 0 k = 0 k = 33 k = 33 k = 0 k = 0 k = 33 k = 1 k = 0 k = 1 k = 1 k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 0 k = 19 k = 0 k = 0 k = 19 k = 0 k = 19 k = 0 k = 19 k = 19 k = 19 k = 19 k = 0 k = 0 k = 0 k = 39 k = 0 k = 33 k = 33 k = 33 k = 33 k = 0 k = 0 k = 1 k = 1 k = 1 k = 0 k = 0 k = 1 k = 1 k = 0 k = 1 k = 1 k = 0 k = 21 k = 0 k = 19 k = 19 k = 19 k = 0 k = 19 k = 19 k = 19 k = 0 k = 26 k = 0 k = 31 k = 0 k = 40 k = 0 k = 0 k = 33 k = 0 k = 1 k = 1 k = 1 k = 1 k = 0 k = 0 k = 0 k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 19 k = 19 k = 0 k = 19 k = 0 k = 0 k = 19 k = 19 k = 19 k = 0 k = 0 k = 0 k = 0 k = 0 k = 33 k = 33 k = 33 k = 33 k = 1 k = 0 k = 1 k = 0 k = 0 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 19 k = 0 k = 19 k = 0 k = 0 k = 0 k = 19 k = 0 k = 27 k = 27 k = 27 k = 0 k = 33 k = 33 k = 33 k = 33 k = 0 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 0 k = 1 k = 1 k = 0 k = 0 k = 0 k = 0 k = 16 k = 0 k = 0 k = 0 k = 0 k = 0 k = 29 k = 0 k = 0 k = 27 k = 0 k = 33 k = 0 k = 0 k = 33 k = 33 k = 1 k = 1 k = 0 k = 1 k = 1 k = 1 k = 0 k = 1 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 16 k = 16 k = 16 k = 0 k = 0 k = 0 k = 0 k = 0 k = 27 k = 27 k = 27 k = 0 k = 33 k = 0 k = 33 k = 33 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 0 k = 0 k = 1 k = 1 k = 0 k = 1 k = 0 k = 16 k = 16 k = 16 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 27 k = 27 k = 0 k = 33 k = 33 k = 33 k = 0 k = 33 k = 33 k = 1 k = 0 k = 1 k = 0 k = 0 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 1 k = 0 k = 0 k = 0 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 27 k = 0 k = 33 k = 0 k = 0 k = 42 k = 0 k = 33 k = 1 k = 1 k = 0 k = 0 k = 10 k = 0 k = 0 k = 1 k = 0 k = 0 k = 1 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 0 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 0 k = 16 k = 0 k = 16 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 7 k = 0 k = 0 k = 2 k = 2 k = 0 k = 0 k = 1 k = 1 k = 0 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 0 k = 16 k = 16 k = 0 k = 0 k = 16 k = 0 k = 16 k = 0 k = 0 k = 0 k = 34 k = 7 k = 7 k = 7 k = 0 k = 0 k = 2 k = 0 k = 1 k = 1 k = 1 k = 0 k = 16 k = 16 k = 0 k = 16 k = 0 k = 0 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 43 k = 0 k = 0 k = 0 k = 0 k = 0 k = 3 k = 0 k = 2 k = 0 k = 0 k = 0 k = 0 k = 15 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 0 k = 35 k = 35 k = 3 k = 3 k = 3 k = 3 k = 3 k = 0 k = 0 k = 3 k = 0 k = 14 k = 0 k = 13 k = 13 k = 0 k = 0 k = 16 k = 16 k = 0 k = 0 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 0 k = 16 k = 0 k = 0 k = 0 k = 3 k = 3 k = 3 k = 3 k = 3 k = 3 k = 3 k = 3 k = 3 k = 0 k = 13 k = 13 k = 13 k = 13 k = 0 k = 16 k = 0 k = 0 k = 22 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 36 k = 0 k = 36 k = 36 k = 36 k = 0 k = 0 k = 3 k = 0 k = 3 k = 0 k = 3 k = 3 k = 0 k = 0 k = 0 k = 13 k = 13 k = 0 k = 0 k = 0 k = 17 k = 17 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 0 k = 36 k = 36 k = 36 k = 36 k = 0 k = 36 k = 3 k = 3 k = 3 k = 3 k = 0 k = 3 k = 0 k = 0 k = 0 k = 0 k = 13 k = 13 k = 13 k = 0 k = 20 k = 0 k = 17 k = 17 k = 0 k = 16 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 3 k = 3 k = 3 k = 0 k = 0 k = 13 k = 13 k = 13 k = 13 k = 0 k = 0 k = 0 k = 17 k = 17 k = 17 k = 17 k = 0 k = 0 k = 0 k = 16 k = 16 k = 0 k = 0 k = 0 k = 0 k = 44 k = 44 k = 0 k = 0 k = 4 k = 4 k = 4 k = 0 k = 0 k = 3 k = 0 k = 0 k = 0 k = 13 k = 13 k = 0 k = 0 k = 0 k = 0 k = 17 k = 17 k = 0 k = 0 k = 16 k = 0 k = 16 k = 0 k = 16 k = 16 k = 0 k = 37 k = 0 k = 44 k = 0 k = 0 k = 16 k = 0 k = 0 k = 4 k = 4 k = 4 k = 0 k = 11 k = 0 k = 13 k = 13 k = 13 k = 13 k = 0 k = 0 k = 0 k = 17 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 0 k = 16 k = 0 k = 16 k = 16 k = 16 k = 0 k = 0 k = 0 k = 4 k = 0 k = 0 k = 11 k = 0 k = 13 k = 13 k = 13 k = 13 k = 0 k = 0 k = 17 k = 17 k = 17 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 5 k = 5 k = 5 k = 0 k = 9 k = 0 k = 0 k = 0 k = 0 k = 0 k = 13 k = 13 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 0 k = 16 k = 0 k = 0 k = 0 k = 0 k = 9 k = 9 k = 0 k = 12 k = 12 k = 12 k = 12 k = 0 k = 13 k = 0 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 k = 0 k = 16 k = 0 k = 0 k = 0 k = 16 k = 16 k = 0 k = 0 k = 16 k = 0 k = 8 k = 8 k = 0 k = 9 k = 0 k = 0 k = 12 k = 12 k = 0 k = 0 k = 13 k = 13 k = 0 k = 0 k = 16 k = 16 k = 0 k = 16 k = 16 k = 0 k = 0 k = 16 k = 16 k = 16 k = 0 k = 16 k = 16 k = 16 k = 16 k = 16 k = 16 k = 0 Graphics saved as "components.png" percolation_simulation_test(): Normal end of execution. 07-Oct-2025 23:31:03