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 197°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 6x3 after 67 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 | 20 | 53 | 98 | 49 |
| 2 | 4 | 5 | 6 | 7 | 14 | 40 | 113 | 302 | 103 |
| 3 | 5 | 6 | 7 | 8 | 15 | 35 | 74 | 121 | 64 |
| 3 | 6 | 7 | 8 | 9 | 13 | 25 | 42 | 54 | 33 |
| 3 | 6 | 7 | 8 | 9 | 12 | 17 | 24 | 27 | 17 |
| 3 | 6 | 8 | 9 | 9 | 11 | 13 | 15 | 15 | 10 |
| 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 6x3 after 67 iterations:
