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 177°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 9x3 after 81 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 | 7 | 19 | 48 | 88 | 44 |
| 3 | 4 | 5 | 6 | 7 | 14 | 38 | 102 | 272 | 93 |
| 3 | 5 | 7 | 8 | 9 | 15 | 33 | 68 | 110 | 58 |
| 4 | 6 | 8 | 9 | 10 | 14 | 24 | 39 | 50 | 31 |
| 4 | 6 | 8 | 9 | 10 | 12 | 17 | 23 | 26 | 16 |
| 4 | 7 | 8 | 9 | 10 | 11 | 14 | 16 | 15 | 9 |
| 4 | 6 | 8 | 9 | 10 | 11 | 11 | 12 | 10 | 6 |
| 3 | 6 | 7 | 8 | 9 | 9 | 10 | 9 | 7 | 4 |
| 2 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 3 |
| 1 | 2 | 3 | 3 | 4 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 9x3 after 81 iterations:
