Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 6°C. We apply continuously 170°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 8x3 after 87 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 3 | 3 | 3 | 4 | 3 | 3 | 2 | 1 |
| 2 | 3 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 2 |
| 2 | 3 | 4 | 5 | 5 | 6 | 6 | 5 | 4 | 2 |
| 2 | 3 | 4 | 5 | 8 | 12 | 12 | 9 | 6 | 3 |
| 2 | 4 | 5 | 9 | 22 | 36 | 29 | 19 | 11 | 5 |
| 2 | 3 | 7 | 21 | 55 | 101 | 65 | 36 | 18 | 8 |
| 2 | 4 | 11 | 35 | 100 | 270 | 111 | 50 | 23 | 9 |
| 1 | 3 | 9 | 27 | 63 | 108 | 70 | 39 | 20 | 8 |
| 1 | 2 | 5 | 14 | 28 | 41 | 32 | 20 | 11 | 5 |
Temperature in field 8x3 after 87 iterations:
