Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 184°C heat to the field 9x4
What is the temperature (rounded to whole numbers) in the field 7x4 after 58 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 4 | 6 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 7 | 18 | 24 |
| 1 | 2 | 3 | 3 | 3 | 3 | 6 | 20 | 49 | 79 |
| 1 | 2 | 3 | 3 | 4 | 4 | 11 | 34 | 94 | 247 |
| 1 | 2 | 3 | 3 | 4 | 5 | 10 | 27 | 56 | 83 |
| 1 | 2 | 3 | 3 | 4 | 4 | 8 | 17 | 28 | 30 |
| 1 | 2 | 3 | 3 | 3 | 4 | 6 | 9 | 13 | 12 |
| 1 | 2 | 2 | 2 | 2 | 3 | 4 | 5 | 6 | 5 |
| 0 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 3 | 2 |
Temperature in field 7x4 after 58 iterations:
