Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 120°C heat to the field 5x0
What is the temperature (rounded to whole numbers) in the field 3x3 after 53 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 9 | 22 | 57 | 167 | 60 | 25 | 12 | 5 |
| 5 | 9 | 14 | 25 | 46 | 75 | 50 | 29 | 16 | 7 |
| 6 | 10 | 15 | 23 | 34 | 43 | 36 | 26 | 17 | 8 |
| 6 | 11 | 16 | 20 | 26 | 30 | 28 | 23 | 16 | 8 |
| 7 | 12 | 16 | 19 | 22 | 24 | 23 | 20 | 15 | 8 |
| 7 | 12 | 16 | 18 | 20 | 21 | 21 | 19 | 14 | 7 |
| 7 | 12 | 15 | 17 | 19 | 19 | 19 | 17 | 13 | 7 |
| 6 | 10 | 13 | 15 | 16 | 17 | 17 | 15 | 11 | 6 |
| 5 | 8 | 10 | 11 | 12 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 5 | 4 | 2 |
Temperature in field 3x3 after 53 iterations:
