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 176°C heat to the field 3x4
What is the temperature (rounded to whole numbers) in the field 5x6 after 72 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 | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
| 1 | 2 | 5 | 9 | 9 | 7 | 5 | 3 | 2 | 1 |
| 1 | 6 | 19 | 34 | 28 | 18 | 10 | 6 | 4 | 2 |
| 4 | 19 | 54 | 102 | 65 | 35 | 18 | 10 | 5 | 2 |
| 8 | 34 | 102 | 278 | 113 | 51 | 25 | 13 | 6 | 3 |
| 8 | 27 | 65 | 113 | 74 | 42 | 23 | 12 | 7 | 3 |
| 5 | 17 | 35 | 51 | 42 | 28 | 17 | 10 | 6 | 3 |
| 3 | 9 | 18 | 24 | 22 | 17 | 12 | 8 | 5 | 2 |
| 2 | 5 | 9 | 12 | 12 | 10 | 7 | 5 | 3 | 2 |
| 1 | 2 | 4 | 5 | 5 | 4 | 3 | 3 | 2 | 1 |
Temperature in field 5x6 after 72 iterations:
