Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 186°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 1x4 after 41 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 6 | 19 | 50 | 92 | 46 |
| 2 | 4 | 5 | 6 | 7 | 13 | 39 | 107 | 286 | 97 |
| 3 | 5 | 6 | 7 | 8 | 15 | 33 | 70 | 115 | 60 |
| 3 | 6 | 7 | 8 | 9 | 13 | 24 | 40 | 52 | 32 |
| 3 | 6 | 7 | 8 | 9 | 12 | 17 | 23 | 26 | 17 |
| 3 | 6 | 8 | 9 | 9 | 11 | 13 | 15 | 15 | 9 |
| 3 | 6 | 7 | 8 | 9 | 10 | 11 | 11 | 10 | 6 |
| 3 | 5 | 7 | 8 | 8 | 9 | 9 | 8 | 7 | 4 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 4 | 2 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
Temperature in field 1x4 after 41 iterations:
