Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 36°C. We apply continuously 141°C heat to the field 4x3
What is the temperature (rounded to whole numbers) in the field 7x5 after 139 iterations according to the Gauss-Seidel iteration
Field in the beginning
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 | 36 |
Field after 4 iterations (rounded after 4th iteration)
5 | 8 | 10 | 14 | 18 | 17 | 15 | 13 | 9 | 5 |
8 | 14 | 21 | 33 | 46 | 41 | 33 | 25 | 17 | 8 |
10 | 20 | 36 | 67 | 106 | 77 | 52 | 36 | 23 | 12 |
12 | 26 | 51 | 108 | 251 | 119 | 68 | 44 | 28 | 14 |
13 | 26 | 47 | 80 | 120 | 90 | 63 | 44 | 29 | 15 |
13 | 25 | 39 | 56 | 71 | 64 | 53 | 41 | 28 | 14 |
12 | 23 | 33 | 42 | 49 | 49 | 44 | 36 | 26 | 13 |
11 | 20 | 27 | 33 | 36 | 37 | 35 | 30 | 21 | 11 |
8 | 15 | 19 | 23 | 25 | 26 | 25 | 21 | 15 | 8 |
4 | 8 | 10 | 12 | 13 | 13 | 12 | 11 | 7 | 4 |
Temperature in field 7x5 after 139 iterations: