Level 29

You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 71°C heat to the field 2x7
What is the temperature (rounded to whole numbers) in the field 0x9 after 117 iterations according to the Gauss-Seidel iteration

Field in the beginning

13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13

Field after 4 iterations (rounded after 4th iteration)

2	3	4	4	4	4	4	4	3	2
3	5	6	7	8	8	8	7	5	3
4	6	8	9	10	10	10	9	7	3
4	7	9	11	11	11	11	10	7	4
4	9	13	14	13	13	12	11	8	4
6	15	23	21	18	15	13	11	8	4
11	28	50	36	24	18	14	12	8	4
16	46	119	54	30	19	14	11	8	4
12	29	50	35	23	15	11	8	6	3
6	13	20	17	12	8	6	4	3	1

Temperature in field 0x9 after 117 iterations:

13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13

2	3	4	4	4	4	4	4	3	2
3	5	6	7	8	8	8	7	5	3
4	6	8	9	10	10	10	9	7	3
4	7	9	11	11	11	11	10	7	4
4	9	13	14	13	13	12	11	8	4
6	15	23	21	18	15	13	11	8	4
11	28	50	36	24	18	14	12	8	4
16	46	119	54	30	19	14	11	8	4
12	29	50	35	23	15	11	8	6	3
6	13	20	17	12	8	6	4	3	1

13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13

2	3	4	4	4	4	4	4	3	2
3	5	6	7	8	8	8	7	5	3
4	6	8	9	10	10	10	9	7	3
4	7	9	11	11	11	11	10	7	4
4	9	13	14	13	13	12	11	8	4
6	15	23	21	18	15	13	11	8	4
11	28	50	36	24	18	14	12	8	4
16	46	119	54	30	19	14	11	8	4
12	29	50	35	23	15	11	8	6	3
6	13	20	17	12	8	6	4	3	1

13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13
13	13	13	13	13	13	13	13	13	13

2	3	4	4	4	4	4	4	3	2
3	5	6	7	8	8	8	7	5	3
4	6	8	9	10	10	10	9	7	3
4	7	9	11	11	11	11	10	7	4
4	9	13	14	13	13	12	11	8	4
6	15	23	21	18	15	13	11	8	4
11	28	50	36	24	18	14	12	8	4
16	46	119	54	30	19	14	11	8	4
12	29	50	35	23	15	11	8	6	3
6	13	20	17	12	8	6	4	3	1