Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 7°C. We apply continuously 157°C heat to the field 9x7
What is the temperature (rounded to whole numbers) in the field 2x2 after 72 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 3 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 7 | 7 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 9 | 18 | 22 |
| 2 | 4 | 5 | 6 | 6 | 6 | 9 | 20 | 44 | 69 |
| 2 | 4 | 5 | 5 | 6 | 6 | 12 | 31 | 81 | 211 |
| 2 | 3 | 4 | 4 | 4 | 5 | 10 | 23 | 48 | 70 |
| 1 | 1 | 2 | 2 | 2 | 3 | 6 | 12 | 20 | 23 |
Temperature in field 2x2 after 72 iterations:
