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 175°C heat to the field 5x3
What is the temperature (rounded to whole numbers) in the field 7x7 after 76 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)
| 6 | 9 | 12 | 13 | 16 | 20 | 20 | 16 | 11 | 6 |
| 9 | 16 | 20 | 26 | 40 | 55 | 48 | 35 | 23 | 11 |
| 12 | 20 | 28 | 45 | 81 | 129 | 91 | 58 | 35 | 17 |
| 13 | 23 | 35 | 63 | 132 | 308 | 143 | 77 | 44 | 20 |
| 13 | 24 | 36 | 58 | 97 | 146 | 106 | 70 | 43 | 21 |
| 14 | 24 | 35 | 49 | 68 | 85 | 75 | 57 | 39 | 19 |
| 13 | 24 | 32 | 41 | 51 | 58 | 55 | 46 | 33 | 17 |
| 12 | 21 | 28 | 34 | 39 | 42 | 42 | 36 | 26 | 13 |
| 9 | 16 | 21 | 24 | 27 | 29 | 28 | 25 | 18 | 9 |
| 5 | 8 | 11 | 13 | 14 | 15 | 14 | 12 | 9 | 4 |
Temperature in field 7x7 after 76 iterations:
