Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 155°C heat to the field 9x5
What is the temperature (rounded to whole numbers) in the field 5x2 after 96 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 3 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 8 | 8 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 13 | 20 | 23 |
| 4 | 7 | 9 | 10 | 11 | 11 | 13 | 24 | 47 | 69 |
| 4 | 7 | 9 | 10 | 11 | 12 | 17 | 36 | 84 | 211 |
| 4 | 7 | 9 | 10 | 11 | 12 | 16 | 29 | 52 | 72 |
| 4 | 6 | 8 | 9 | 10 | 11 | 13 | 20 | 28 | 28 |
| 3 | 5 | 6 | 7 | 7 | 8 | 9 | 12 | 14 | 11 |
| 1 | 2 | 3 | 4 | 4 | 4 | 5 | 5 | 6 | 4 |
Temperature in field 5x2 after 96 iterations:
