Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 194°C heat to the field 7x3
What is the temperature (rounded to whole numbers) in the field 0x1 after 112 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 2 | 2 | 2 | 5 | 9 | 8 | 5 |
| 1 | 2 | 2 | 3 | 3 | 8 | 21 | 37 | 29 | 15 |
| 1 | 2 | 3 | 4 | 7 | 22 | 60 | 112 | 70 | 31 |
| 2 | 3 | 4 | 5 | 12 | 39 | 113 | 307 | 122 | 46 |
| 2 | 3 | 4 | 5 | 12 | 32 | 73 | 125 | 79 | 36 |
| 2 | 3 | 4 | 5 | 9 | 21 | 40 | 56 | 44 | 23 |
| 2 | 3 | 4 | 5 | 7 | 13 | 21 | 27 | 23 | 13 |
| 2 | 3 | 3 | 4 | 5 | 8 | 11 | 14 | 12 | 7 |
| 1 | 2 | 3 | 3 | 4 | 5 | 6 | 7 | 6 | 4 |
| 1 | 1 | 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 |
Temperature in field 0x1 after 112 iterations:
