Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 157°C heat to the field 2x8
What is the temperature (rounded to whole numbers) in the field 4x3 after 59 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 9 | 11 | 11 | 11 | 11 | 10 | 8 | 4 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 9 | 4 |
| 5 | 9 | 12 | 13 | 14 | 14 | 14 | 12 | 9 | 5 |
| 5 | 11 | 18 | 19 | 18 | 16 | 15 | 13 | 10 | 5 |
| 9 | 24 | 39 | 35 | 26 | 20 | 17 | 13 | 10 | 5 |
| 19 | 53 | 98 | 66 | 40 | 25 | 18 | 13 | 9 | 4 |
| 29 | 91 | 249 | 102 | 48 | 26 | 16 | 11 | 7 | 3 |
| 18 | 48 | 87 | 54 | 29 | 16 | 10 | 6 | 4 | 2 |
Temperature in field 4x3 after 59 iterations:
