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 77°C heat to the field 8x5
What is the temperature (rounded to whole numbers) in the field 5x4 after 132 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 | 2 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 6 | 7 | 4 |
| 2 | 4 | 5 | 6 | 6 | 6 | 8 | 13 | 18 | 11 |
| 2 | 4 | 5 | 6 | 6 | 8 | 14 | 28 | 47 | 25 |
| 2 | 4 | 5 | 6 | 7 | 10 | 20 | 49 | 123 | 43 |
| 2 | 4 | 5 | 6 | 7 | 9 | 17 | 32 | 50 | 27 |
| 2 | 4 | 5 | 5 | 6 | 8 | 12 | 19 | 23 | 14 |
| 2 | 3 | 4 | 4 | 4 | 5 | 7 | 10 | 11 | 7 |
| 1 | 1 | 2 | 2 | 2 | 3 | 4 | 4 | 4 | 3 |
Temperature in field 5x4 after 132 iterations:
