Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 69°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 0x2 after 138 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 7 | 4 |
| 5 | 9 | 11 | 14 | 16 | 16 | 15 | 13 | 10 | 5 |
| 6 | 10 | 14 | 21 | 27 | 25 | 21 | 17 | 12 | 6 |
| 6 | 12 | 20 | 35 | 55 | 41 | 29 | 20 | 14 | 7 |
| 6 | 13 | 26 | 54 | 124 | 60 | 35 | 23 | 15 | 7 |
| 6 | 13 | 23 | 39 | 59 | 44 | 31 | 22 | 14 | 7 |
| 6 | 11 | 18 | 26 | 33 | 30 | 24 | 18 | 12 | 6 |
| 4 | 8 | 12 | 16 | 19 | 19 | 16 | 13 | 9 | 4 |
| 2 | 4 | 6 | 8 | 9 | 9 | 8 | 6 | 4 | 2 |
Temperature in field 0x2 after 138 iterations:
