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 128°C heat to the field 7x4
What is the temperature (rounded to whole numbers) in the field 1x3 after 101 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 | 3 | 3 | 3 | 4 | 3 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 8 | 10 | 9 | 5 |
| 3 | 5 | 6 | 7 | 7 | 11 | 20 | 30 | 23 | 12 |
| 3 | 6 | 7 | 8 | 10 | 21 | 46 | 80 | 50 | 23 |
| 3 | 6 | 7 | 9 | 14 | 32 | 81 | 208 | 85 | 33 |
| 3 | 6 | 8 | 9 | 14 | 27 | 54 | 88 | 56 | 26 |
| 3 | 6 | 7 | 9 | 12 | 20 | 32 | 42 | 33 | 17 |
| 3 | 5 | 7 | 8 | 10 | 14 | 19 | 22 | 18 | 10 |
| 2 | 4 | 5 | 6 | 7 | 9 | 11 | 12 | 10 | 6 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 5 | 4 | 2 |
Temperature in field 1x3 after 101 iterations:
