Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 179°C heat to the field 0x8
What is the temperature (rounded to whole numbers) in the field 0x4 after 88 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 8 | 7 | 7 | 5 | 3 |
| 3 | 6 | 7 | 8 | 8 | 9 | 8 | 8 | 6 | 3 |
| 4 | 7 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 9 | 12 | 12 | 11 | 10 | 10 | 9 | 8 | 6 | 3 |
| 26 | 26 | 20 | 15 | 12 | 11 | 10 | 8 | 6 | 3 |
| 78 | 56 | 34 | 21 | 14 | 11 | 9 | 8 | 5 | 3 |
| 239 | 95 | 44 | 22 | 13 | 9 | 7 | 6 | 4 | 2 |
| 71 | 48 | 26 | 14 | 8 | 5 | 4 | 3 | 2 | 1 |
Temperature in field 0x4 after 88 iterations:
