Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 200°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 0x8 after 116 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 3 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 5 | 5 | 5 | 3 | 2 |
| 2 | 3 | 4 | 4 | 8 | 13 | 12 | 9 | 6 | 3 |
| 2 | 3 | 4 | 9 | 24 | 41 | 33 | 21 | 11 | 5 |
| 2 | 3 | 6 | 23 | 62 | 116 | 73 | 39 | 19 | 8 |
| 1 | 3 | 11 | 38 | 113 | 311 | 123 | 53 | 23 | 9 |
| 1 | 2 | 8 | 25 | 60 | 108 | 65 | 33 | 15 | 6 |
Temperature in field 0x8 after 116 iterations:
