Level 29

You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 188°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 5x5 after 116 iterations according to the Gauss-Seidel iteration

Field in the beginning

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

Field after 4 iterations (rounded after 4th iteration)

3	5	6	7	8	8	8	7	5	3
5	9	11	15	20	20	17	14	10	5
6	11	18	33	50	43	32	23	15	7
7	15	33	72	124	85	53	33	20	9
8	20	50	124	313	137	70	40	23	11
8	20	43	85	137	96	61	39	23	11
8	17	32	53	70	61	46	33	21	10
7	14	23	33	40	39	33	25	17	8
5	10	15	20	23	23	21	17	11	6
3	5	7	9	11	11	10	8	6	3

Temperature in field 5x5 after 116 iterations:

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	8	8	8	7	5	3
5	9	11	15	20	20	17	14	10	5
6	11	18	33	50	43	32	23	15	7
7	15	33	72	124	85	53	33	20	9
8	20	50	124	313	137	70	40	23	11
8	20	43	85	137	96	61	39	23	11
8	17	32	53	70	61	46	33	21	10
7	14	23	33	40	39	33	25	17	8
5	10	15	20	23	23	21	17	11	6
3	5	7	9	11	11	10	8	6	3

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	8	8	8	7	5	3
5	9	11	15	20	20	17	14	10	5
6	11	18	33	50	43	32	23	15	7
7	15	33	72	124	85	53	33	20	9
8	20	50	124	313	137	70	40	23	11
8	20	43	85	137	96	61	39	23	11
8	17	32	53	70	61	46	33	21	10
7	14	23	33	40	39	33	25	17	8
5	10	15	20	23	23	21	17	11	6
3	5	7	9	11	11	10	8	6	3

22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22
22	22	22	22	22	22	22	22	22	22

3	5	6	7	8	8	8	7	5	3
5	9	11	15	20	20	17	14	10	5
6	11	18	33	50	43	32	23	15	7
7	15	33	72	124	85	53	33	20	9
8	20	50	124	313	137	70	40	23	11
8	20	43	85	137	96	61	39	23	11
8	17	32	53	70	61	46	33	21	10
7	14	23	33	40	39	33	25	17	8
5	10	15	20	23	23	21	17	11	6
3	5	7	9	11	11	10	8	6	3