Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 6°C. We apply continuously 188°C heat to the field 5x1
What is the temperature (rounded to whole numbers) in the field 0x4 after 83 iterations according to the Gauss-Seidel iteration
Field in the beginning
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
Field after 4 iterations (rounded after 4th iteration)
1 | 1 | 5 | 18 | 50 | 95 | 57 | 28 | 13 | 5 |
1 | 3 | 11 | 36 | 107 | 293 | 116 | 50 | 22 | 9 |
2 | 4 | 11 | 30 | 70 | 120 | 78 | 43 | 22 | 9 |
2 | 4 | 9 | 20 | 39 | 55 | 45 | 30 | 17 | 8 |
2 | 4 | 7 | 13 | 21 | 28 | 26 | 19 | 12 | 6 |
2 | 4 | 6 | 9 | 13 | 16 | 15 | 13 | 9 | 5 |
2 | 4 | 5 | 7 | 8 | 10 | 10 | 9 | 6 | 3 |
2 | 3 | 4 | 5 | 6 | 7 | 7 | 6 | 4 | 2 |
1 | 2 | 3 | 4 | 4 | 5 | 4 | 4 | 3 | 2 |
1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
Temperature in field 0x4 after 83 iterations: