Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 24°C. We apply continuously 69°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 4x4 after 100 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 3 |
| 6 | 10 | 12 | 13 | 14 | 14 | 14 | 13 | 9 | 5 |
| 7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
| 8 | 13 | 17 | 19 | 20 | 21 | 20 | 18 | 14 | 7 |
| 8 | 14 | 18 | 20 | 21 | 23 | 24 | 22 | 16 | 9 |
| 8 | 14 | 18 | 21 | 24 | 29 | 35 | 30 | 21 | 10 |
| 8 | 14 | 18 | 21 | 28 | 42 | 61 | 44 | 27 | 13 |
| 7 | 13 | 16 | 21 | 32 | 59 | 127 | 60 | 31 | 14 |
| 5 | 9 | 12 | 16 | 24 | 39 | 57 | 40 | 23 | 11 |
| 3 | 5 | 7 | 9 | 13 | 19 | 23 | 19 | 12 | 6 |
Temperature in field 4x4 after 100 iterations:
