Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 77°C heat to the field 7x4
What is the temperature (rounded to whole numbers) in the field 3x1 after 150 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 4 | 5 | 5 | 5 | 6 | 8 | 6 | 4 |
| 3 | 4 | 6 | 6 | 7 | 9 | 14 | 20 | 15 | 8 |
| 3 | 5 | 6 | 7 | 9 | 15 | 30 | 50 | 32 | 15 |
| 3 | 5 | 7 | 8 | 11 | 22 | 51 | 128 | 53 | 21 |
| 3 | 5 | 7 | 8 | 11 | 19 | 35 | 55 | 36 | 17 |
| 3 | 5 | 7 | 8 | 10 | 15 | 22 | 28 | 22 | 11 |
| 3 | 5 | 6 | 7 | 8 | 11 | 14 | 16 | 13 | 7 |
| 2 | 4 | 5 | 5 | 6 | 7 | 8 | 9 | 7 | 4 |
| 1 | 2 | 2 | 3 | 3 | 4 | 4 | 4 | 3 | 2 |
Temperature in field 3x1 after 150 iterations:
