Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 40°C. We apply continuously 130°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 2x9 after 114 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
Field after 4 iterations (rounded after 4th iteration)
| 6 | 9 | 12 | 13 | 14 | 14 | 14 | 12 | 9 | 5 |
| 9 | 16 | 20 | 24 | 28 | 29 | 26 | 23 | 17 | 9 |
| 12 | 20 | 28 | 41 | 53 | 49 | 41 | 32 | 23 | 12 |
| 13 | 24 | 41 | 70 | 107 | 80 | 57 | 41 | 28 | 14 |
| 14 | 28 | 53 | 107 | 239 | 118 | 71 | 48 | 31 | 16 |
| 14 | 29 | 49 | 80 | 118 | 90 | 65 | 47 | 32 | 16 |
| 14 | 26 | 41 | 57 | 71 | 65 | 54 | 43 | 30 | 15 |
| 12 | 23 | 32 | 41 | 48 | 47 | 43 | 35 | 25 | 12 |
| 9 | 17 | 23 | 28 | 31 | 32 | 30 | 25 | 17 | 9 |
| 5 | 9 | 12 | 14 | 16 | 16 | 15 | 12 | 9 | 4 |
Temperature in field 2x9 after 114 iterations:
