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 154°C heat to the field 3x8
What is the temperature (rounded to whole numbers) in the field 1x0 after 96 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 | 9 | 10 | 10 | 9 | 8 | 6 | 3 |
| 3 | 6 | 10 | 15 | 15 | 13 | 11 | 9 | 7 | 3 |
| 3 | 9 | 22 | 36 | 31 | 22 | 15 | 11 | 7 | 4 |
| 5 | 20 | 51 | 94 | 61 | 36 | 21 | 13 | 8 | 4 |
| 8 | 31 | 90 | 243 | 98 | 45 | 23 | 12 | 7 | 3 |
| 6 | 20 | 47 | 85 | 52 | 27 | 14 | 8 | 4 | 2 |
Temperature in field 1x0 after 96 iterations:
