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 199°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 9x2 after 111 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 | 4 | 9 | 9 | 6 | 3 | 2 |
| 1 | 2 | 2 | 7 | 21 | 38 | 30 | 18 | 10 | 4 |
| 1 | 2 | 6 | 22 | 61 | 115 | 73 | 39 | 19 | 8 |
| 1 | 3 | 11 | 39 | 115 | 314 | 127 | 57 | 26 | 11 |
| 1 | 3 | 10 | 31 | 74 | 128 | 84 | 46 | 24 | 10 |
| 1 | 3 | 8 | 20 | 40 | 57 | 47 | 31 | 18 | 8 |
| 1 | 3 | 6 | 12 | 21 | 28 | 25 | 19 | 12 | 6 |
| 1 | 2 | 4 | 7 | 11 | 14 | 14 | 11 | 8 | 4 |
| 1 | 2 | 3 | 4 | 6 | 7 | 7 | 6 | 4 | 2 |
| 0 | 1 | 1 | 2 | 3 | 3 | 3 | 3 | 2 | 1 |
Temperature in field 9x2 after 111 iterations:
