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 155°C heat to the field 8x4
What is the temperature (rounded to whole numbers) in the field 8x6 after 131 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 | 3 | 3 | 3 | 3 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 8 | 10 | 7 |
| 3 | 5 | 6 | 7 | 7 | 8 | 11 | 22 | 32 | 21 |
| 3 | 6 | 7 | 8 | 8 | 11 | 23 | 53 | 91 | 48 |
| 3 | 6 | 7 | 8 | 10 | 15 | 37 | 95 | 245 | 85 |
| 3 | 6 | 8 | 9 | 10 | 15 | 31 | 62 | 99 | 52 |
| 3 | 6 | 7 | 8 | 10 | 13 | 22 | 36 | 45 | 27 |
| 3 | 5 | 7 | 8 | 8 | 10 | 15 | 20 | 22 | 14 |
| 2 | 4 | 5 | 6 | 6 | 7 | 9 | 11 | 11 | 7 |
| 1 | 2 | 3 | 3 | 3 | 4 | 4 | 5 | 5 | 3 |
Temperature in field 8x6 after 131 iterations:
