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 84°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 3x4 after 113 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 | 6 | 5 | 2 |
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 3 | 5 | 7 | 8 | 8 | 10 | 11 | 10 | 8 | 4 |
| 3 | 5 | 7 | 8 | 10 | 16 | 23 | 19 | 13 | 6 |
| 3 | 5 | 7 | 9 | 16 | 33 | 55 | 37 | 21 | 9 |
| 3 | 5 | 6 | 10 | 22 | 55 | 138 | 59 | 27 | 11 |
| 2 | 4 | 5 | 8 | 17 | 35 | 57 | 38 | 21 | 9 |
| 1 | 2 | 3 | 5 | 9 | 16 | 22 | 17 | 11 | 5 |
Temperature in field 3x4 after 113 iterations:
