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 154°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 5x3 after 98 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 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 8 | 7 | 7 | 5 | 3 |
| 3 | 6 | 7 | 8 | 8 | 9 | 8 | 8 | 6 | 3 |
| 3 | 6 | 7 | 8 | 9 | 10 | 10 | 9 | 6 | 3 |
| 3 | 6 | 8 | 9 | 12 | 16 | 15 | 12 | 8 | 4 |
| 3 | 6 | 7 | 12 | 24 | 37 | 31 | 21 | 12 | 6 |
| 3 | 5 | 9 | 22 | 53 | 94 | 62 | 34 | 18 | 8 |
| 2 | 5 | 11 | 33 | 91 | 243 | 98 | 44 | 20 | 8 |
| 1 | 3 | 8 | 21 | 48 | 85 | 52 | 27 | 13 | 5 |
Temperature in field 5x3 after 98 iterations:
