Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 83°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 3x7 after 141 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 5 | 7 | 6 | 5 | 3 | 2 |
| 2 | 4 | 5 | 7 | 14 | 21 | 17 | 12 | 7 | 4 |
| 3 | 5 | 8 | 15 | 32 | 54 | 37 | 22 | 12 | 5 |
| 3 | 6 | 10 | 23 | 55 | 138 | 60 | 30 | 16 | 7 |
| 3 | 6 | 11 | 20 | 38 | 61 | 42 | 26 | 15 | 7 |
| 3 | 6 | 10 | 15 | 24 | 32 | 27 | 20 | 13 | 6 |
| 3 | 6 | 9 | 12 | 16 | 19 | 18 | 15 | 10 | 5 |
| 3 | 5 | 7 | 9 | 11 | 13 | 12 | 11 | 8 | 4 |
| 2 | 4 | 5 | 6 | 7 | 8 | 8 | 7 | 5 | 3 |
| 1 | 2 | 3 | 3 | 4 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 3x7 after 141 iterations:
