Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 27°C. We apply continuously 150°C heat to the field 9x2
What is the temperature (rounded to whole numbers) in the field 5x0 after 102 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
| 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 | 27 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 12 | 18 | 21 |
| 6 | 11 | 13 | 15 | 16 | 16 | 18 | 28 | 49 | 68 |
| 8 | 13 | 17 | 19 | 20 | 21 | 26 | 43 | 88 | 207 |
| 9 | 15 | 19 | 21 | 23 | 24 | 28 | 39 | 59 | 74 |
| 9 | 16 | 20 | 23 | 24 | 25 | 28 | 33 | 37 | 32 |
| 9 | 16 | 20 | 23 | 25 | 26 | 27 | 28 | 26 | 18 |
| 9 | 16 | 20 | 23 | 24 | 25 | 25 | 24 | 20 | 12 |
| 8 | 14 | 18 | 20 | 22 | 22 | 22 | 20 | 16 | 9 |
| 6 | 11 | 14 | 15 | 16 | 17 | 17 | 15 | 11 | 6 |
| 3 | 6 | 7 | 8 | 9 | 9 | 9 | 7 | 5 | 3 |
Temperature in field 5x0 after 102 iterations:
