Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 175°C heat to the field 8x6
What is the temperature (rounded to whole numbers) in the field 5x0 after 89 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 6 | 9 | 7 |
| 1 | 2 | 3 | 3 | 4 | 4 | 8 | 20 | 33 | 22 |
| 1 | 2 | 3 | 3 | 4 | 6 | 20 | 54 | 99 | 52 |
| 1 | 2 | 3 | 3 | 4 | 11 | 35 | 101 | 272 | 94 |
| 1 | 2 | 3 | 3 | 4 | 10 | 28 | 64 | 107 | 56 |
| 1 | 2 | 2 | 2 | 3 | 7 | 17 | 33 | 45 | 28 |
| 0 | 1 | 1 | 1 | 2 | 4 | 8 | 14 | 17 | 11 |
Temperature in field 5x0 after 89 iterations:
