Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 7°C. We apply continuously 77°C heat to the field 8x9
What is the temperature (rounded to whole numbers) in the field 1x3 after 115 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
| 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 | 7 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 6 | 4 | 2 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 6 | 5 | 3 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 7 | 7 | 5 |
| 2 | 4 | 5 | 5 | 6 | 6 | 7 | 12 | 16 | 10 |
| 2 | 3 | 4 | 4 | 4 | 6 | 11 | 23 | 40 | 20 |
| 1 | 1 | 2 | 2 | 3 | 5 | 12 | 34 | 103 | 31 |
Temperature in field 1x3 after 115 iterations:
