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 176°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 4x8 after 97 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 | 5 | 5 | 4 | 3 | 2 |
| 2 | 3 | 4 | 4 | 7 | 12 | 11 | 8 | 5 | 3 |
| 2 | 3 | 4 | 8 | 21 | 36 | 29 | 19 | 11 | 5 |
| 2 | 3 | 6 | 21 | 56 | 104 | 66 | 36 | 18 | 8 |
| 2 | 3 | 10 | 35 | 103 | 279 | 114 | 51 | 23 | 9 |
| 1 | 3 | 9 | 27 | 64 | 111 | 72 | 39 | 20 | 8 |
| 1 | 2 | 5 | 14 | 29 | 42 | 33 | 20 | 11 | 5 |
Temperature in field 4x8 after 97 iterations:
