Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 199°C heat to the field 8x7
What is the temperature (rounded to whole numbers) in the field 3x5 after 104 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 5 | 9 | 7 |
| 1 | 1 | 2 | 2 | 2 | 2 | 7 | 21 | 36 | 24 |
| 1 | 1 | 1 | 2 | 2 | 5 | 21 | 59 | 110 | 58 |
| 1 | 1 | 1 | 2 | 2 | 10 | 37 | 113 | 307 | 106 |
| 0 | 1 | 1 | 1 | 2 | 9 | 29 | 69 | 118 | 62 |
| 0 | 0 | 1 | 1 | 1 | 5 | 15 | 31 | 43 | 26 |
Temperature in field 3x5 after 104 iterations:
