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 159°C heat to the field 4x8
What is the temperature (rounded to whole numbers) in the field 4x9 after 57 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 |
| 3 | 6 | 7 | 8 | 10 | 10 | 10 | 8 | 6 | 3 |
| 3 | 6 | 8 | 11 | 15 | 15 | 13 | 10 | 7 | 4 |
| 3 | 6 | 11 | 24 | 38 | 31 | 22 | 15 | 9 | 4 |
| 3 | 8 | 22 | 54 | 97 | 63 | 36 | 20 | 11 | 5 |
| 3 | 10 | 33 | 93 | 251 | 101 | 46 | 22 | 11 | 5 |
| 2 | 7 | 21 | 49 | 87 | 54 | 28 | 14 | 7 | 3 |
Temperature in field 4x9 after 57 iterations:
