Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 188°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 5x5 after 116 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 5 | 9 | 11 | 15 | 20 | 20 | 17 | 14 | 10 | 5 |
| 6 | 11 | 18 | 33 | 50 | 43 | 32 | 23 | 15 | 7 |
| 7 | 15 | 33 | 72 | 124 | 85 | 53 | 33 | 20 | 9 |
| 8 | 20 | 50 | 124 | 313 | 137 | 70 | 40 | 23 | 11 |
| 8 | 20 | 43 | 85 | 137 | 96 | 61 | 39 | 23 | 11 |
| 8 | 17 | 32 | 53 | 70 | 61 | 46 | 33 | 21 | 10 |
| 7 | 14 | 23 | 33 | 40 | 39 | 33 | 25 | 17 | 8 |
| 5 | 10 | 15 | 20 | 23 | 23 | 21 | 17 | 11 | 6 |
| 3 | 5 | 7 | 9 | 11 | 11 | 10 | 8 | 6 | 3 |
Temperature in field 5x5 after 116 iterations:
