Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 165°C heat to the field 7x6
What is the temperature (rounded to whole numbers) in the field 1x8 after 88 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 3 | 4 | 6 | 6 | 7 | 7 | 7 | 7 | 5 | 3 |
| 3 | 5 | 6 | 7 | 8 | 8 | 10 | 13 | 11 | 6 |
| 3 | 5 | 7 | 8 | 8 | 12 | 24 | 37 | 28 | 15 |
| 3 | 5 | 7 | 8 | 11 | 24 | 56 | 100 | 63 | 29 |
| 3 | 5 | 7 | 8 | 15 | 38 | 101 | 265 | 107 | 41 |
| 3 | 5 | 6 | 8 | 13 | 31 | 65 | 109 | 69 | 32 |
| 2 | 4 | 5 | 6 | 10 | 19 | 35 | 48 | 37 | 19 |
| 1 | 2 | 2 | 3 | 5 | 9 | 15 | 19 | 16 | 9 |
Temperature in field 1x8 after 88 iterations:
