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 76°C heat to the field 2x3
What is the temperature (rounded to whole numbers) in the field 2x7 after 87 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 | 4 | 6 | 6 | 5 | 4 | 4 | 3 | 2 | 1 |
| 4 | 11 | 19 | 16 | 12 | 9 | 7 | 6 | 4 | 2 |
| 10 | 27 | 49 | 34 | 21 | 14 | 10 | 8 | 6 | 3 |
| 16 | 48 | 126 | 55 | 29 | 18 | 12 | 9 | 6 | 3 |
| 13 | 32 | 55 | 39 | 25 | 17 | 13 | 10 | 7 | 4 |
| 9 | 19 | 28 | 25 | 20 | 15 | 12 | 10 | 7 | 4 |
| 6 | 12 | 16 | 17 | 15 | 13 | 11 | 9 | 7 | 3 |
| 4 | 8 | 11 | 11 | 11 | 10 | 9 | 8 | 6 | 3 |
| 3 | 5 | 7 | 7 | 8 | 7 | 7 | 6 | 4 | 2 |
| 1 | 2 | 3 | 4 | 4 | 4 | 3 | 3 | 2 | 1 |
Temperature in field 2x7 after 87 iterations:
