Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 7°C. We apply continuously 138°C heat to the field 1x7
What is the temperature (rounded to whole numbers) in the field 7x2 after 54 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 4 | 6 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 10 | 10 | 9 | 8 | 7 | 7 | 6 | 4 | 2 |
| 14 | 28 | 25 | 17 | 12 | 9 | 8 | 6 | 5 | 2 |
| 37 | 80 | 53 | 31 | 18 | 12 | 9 | 7 | 5 | 2 |
| 71 | 216 | 89 | 42 | 22 | 13 | 9 | 6 | 4 | 2 |
| 41 | 84 | 56 | 32 | 18 | 11 | 7 | 5 | 3 | 2 |
| 17 | 31 | 26 | 17 | 10 | 6 | 4 | 3 | 2 | 1 |
Temperature in field 7x2 after 54 iterations:
