Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 164°C heat to the field 8x2
What is the temperature (rounded to whole numbers) in the field 5x4 after 89 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 4 | 5 | 6 | 6 | 6 | 10 | 20 | 31 | 19 |
| 4 | 7 | 9 | 10 | 10 | 13 | 26 | 57 | 96 | 51 |
| 5 | 9 | 11 | 13 | 14 | 20 | 43 | 104 | 261 | 91 |
| 6 | 10 | 13 | 14 | 16 | 22 | 38 | 70 | 108 | 57 |
| 6 | 10 | 13 | 15 | 17 | 20 | 30 | 43 | 52 | 32 |
| 6 | 11 | 14 | 15 | 17 | 19 | 23 | 28 | 29 | 18 |
| 6 | 10 | 13 | 15 | 16 | 18 | 19 | 21 | 18 | 11 |
| 5 | 9 | 12 | 14 | 15 | 15 | 16 | 15 | 13 | 7 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 11 | 8 | 4 |
| 2 | 4 | 5 | 5 | 6 | 6 | 6 | 5 | 4 | 2 |
Temperature in field 5x4 after 89 iterations:
