Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 195°C heat to the field 1x6
What is the temperature (rounded to whole numbers) in the field 3x4 after 32 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 9 | 10 | 10 | 10 | 10 | 9 | 7 | 4 |
| 7 | 12 | 15 | 17 | 17 | 18 | 17 | 16 | 12 | 6 |
| 9 | 16 | 20 | 22 | 23 | 23 | 22 | 20 | 15 | 8 |
| 13 | 24 | 28 | 29 | 28 | 27 | 26 | 23 | 17 | 9 |
| 27 | 52 | 49 | 41 | 35 | 31 | 29 | 25 | 19 | 10 |
| 60 | 125 | 90 | 61 | 44 | 36 | 31 | 26 | 19 | 10 |
| 107 | 317 | 142 | 77 | 50 | 38 | 32 | 26 | 19 | 10 |
| 66 | 132 | 96 | 64 | 45 | 35 | 29 | 24 | 17 | 8 |
| 34 | 60 | 55 | 43 | 33 | 26 | 22 | 18 | 12 | 6 |
| 14 | 24 | 25 | 21 | 17 | 14 | 12 | 9 | 6 | 3 |
Temperature in field 3x4 after 32 iterations:
