Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 158°C heat to the field 6x6
What is the temperature (rounded to whole numbers) in the field 5x1 after 47 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 5 | 8 | 10 | 11 | 12 | 12 | 13 | 11 | 9 | 5 |
| 5 | 9 | 11 | 13 | 13 | 16 | 20 | 18 | 13 | 7 |
| 5 | 9 | 12 | 13 | 18 | 30 | 43 | 35 | 23 | 11 |
| 5 | 9 | 12 | 16 | 30 | 61 | 104 | 69 | 38 | 17 |
| 5 | 9 | 13 | 20 | 43 | 104 | 261 | 111 | 52 | 22 |
| 5 | 8 | 11 | 18 | 35 | 69 | 111 | 75 | 42 | 19 |
| 4 | 6 | 9 | 13 | 23 | 38 | 52 | 42 | 27 | 13 |
| 2 | 3 | 5 | 7 | 11 | 17 | 22 | 19 | 13 | 6 |
Temperature in field 5x1 after 47 iterations:
