Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 40°C. We apply continuously 83°C heat to the field 1x1
What is the temperature (rounded to whole numbers) in the field 7x4 after 53 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
Field after 4 iterations (rounded after 4th iteration)
| 24 | 50 | 35 | 24 | 18 | 16 | 14 | 12 | 9 | 5 |
| 50 | 142 | 69 | 43 | 32 | 28 | 25 | 22 | 16 | 8 |
| 35 | 69 | 57 | 45 | 38 | 34 | 32 | 28 | 20 | 11 |
| 24 | 43 | 45 | 43 | 40 | 38 | 35 | 31 | 23 | 12 |
| 18 | 32 | 38 | 40 | 39 | 39 | 37 | 33 | 25 | 13 |
| 16 | 28 | 34 | 38 | 39 | 39 | 38 | 34 | 25 | 13 |
| 14 | 25 | 32 | 35 | 37 | 38 | 37 | 33 | 24 | 13 |
| 12 | 22 | 28 | 31 | 33 | 34 | 33 | 29 | 21 | 11 |
| 9 | 16 | 20 | 23 | 25 | 25 | 24 | 21 | 15 | 8 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 8 | 4 |
Temperature in field 7x4 after 53 iterations:
