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 61°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 4x6 after 70 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 | 2 |
| 2 | 3 | 4 | 4 | 4 | 6 | 7 | 6 | 5 | 2 |
| 2 | 3 | 4 | 4 | 6 | 11 | 16 | 13 | 8 | 4 |
| 2 | 3 | 4 | 5 | 10 | 22 | 39 | 26 | 14 | 6 |
| 2 | 3 | 4 | 6 | 15 | 38 | 99 | 42 | 19 | 8 |
| 1 | 2 | 3 | 5 | 12 | 24 | 41 | 27 | 14 | 6 |
| 1 | 1 | 2 | 3 | 6 | 11 | 16 | 12 | 7 | 3 |
Temperature in field 4x6 after 70 iterations:
