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 176°C heat to the field 0x0
What is the temperature (rounded to whole numbers) in the field 7x8 after 72 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)
| 211 | 72 | 28 | 13 | 8 | 6 | 5 | 4 | 3 | 1 |
| 72 | 50 | 29 | 18 | 12 | 9 | 8 | 7 | 5 | 3 |
| 28 | 29 | 23 | 17 | 13 | 11 | 10 | 8 | 6 | 3 |
| 13 | 18 | 17 | 15 | 13 | 12 | 11 | 9 | 7 | 4 |
| 8 | 12 | 13 | 13 | 13 | 12 | 11 | 10 | 7 | 4 |
| 6 | 9 | 11 | 12 | 12 | 12 | 11 | 10 | 8 | 4 |
| 5 | 8 | 10 | 11 | 11 | 11 | 11 | 10 | 7 | 4 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 6 | 3 |
| 3 | 5 | 6 | 7 | 7 | 8 | 7 | 6 | 5 | 2 |
| 1 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 7x8 after 72 iterations:
