Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 11°C. We apply continuously 90°C heat to the field 3x8
What is the temperature (rounded to whole numbers) in the field 3x1 after 123 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
| 3 | 4 | 5 | 6 | 6 | 7 | 6 | 6 | 4 | 2 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 7 | 6 | 3 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 6 | 8 | 10 | 10 | 10 | 10 | 9 | 7 | 4 |
| 4 | 7 | 10 | 13 | 13 | 13 | 11 | 10 | 7 | 4 |
| 4 | 9 | 17 | 25 | 22 | 18 | 14 | 11 | 7 | 4 |
| 5 | 14 | 34 | 59 | 40 | 25 | 16 | 11 | 7 | 3 |
| 6 | 20 | 55 | 145 | 61 | 29 | 16 | 10 | 6 | 3 |
| 4 | 13 | 29 | 51 | 32 | 18 | 10 | 6 | 3 | 2 |
Temperature in field 3x1 after 123 iterations:
