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 101°C heat to the field 1x7
What is the temperature (rounded to whole numbers) in the field 5x1 after 80 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 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 8 | 9 | 8 | 8 | 7 | 7 | 6 | 4 | 2 |
| 11 | 22 | 19 | 14 | 11 | 9 | 7 | 6 | 5 | 2 |
| 28 | 60 | 40 | 24 | 15 | 10 | 8 | 6 | 5 | 2 |
| 52 | 159 | 67 | 32 | 18 | 11 | 8 | 6 | 4 | 2 |
| 30 | 62 | 42 | 25 | 15 | 9 | 6 | 5 | 3 | 1 |
| 13 | 23 | 19 | 13 | 8 | 5 | 4 | 3 | 2 | 1 |
Temperature in field 5x1 after 80 iterations:
