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 112°C heat to the field 7x7
What is the temperature (rounded to whole numbers) in the field 7x1 after 142 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 | 6 | 5 | 3 |
| 2 | 4 | 5 | 6 | 6 | 6 | 8 | 10 | 8 | 5 |
| 2 | 4 | 5 | 6 | 6 | 9 | 17 | 26 | 20 | 10 |
| 2 | 4 | 5 | 6 | 8 | 17 | 39 | 69 | 43 | 20 |
| 2 | 4 | 5 | 6 | 10 | 26 | 69 | 180 | 72 | 28 |
| 2 | 3 | 4 | 5 | 8 | 20 | 43 | 72 | 45 | 21 |
| 1 | 1 | 2 | 3 | 5 | 10 | 20 | 28 | 21 | 10 |
Temperature in field 7x1 after 142 iterations:
