hope they help someone

test 1
5
1
0
0
0
0
0

answer 1
0.0000000000
0.0000000000
0.0000000000
0.0000000000
0.0000000000

test 2
5
1
-11
47
-97
96
-36

answer 2
1.0000000000
2.0000000000
2.0000000000
3.0000000000
3.0000000000

test 3
5
1
-5
10
-10
5
-1

answer 3
1.0000000000
1.0000000000
1.0000000000
1.0000000000
1.0000000000

test 4
5
1
-19
66
-94
61
-15

answer 4
1.0000000000
1.0000000000
1.0000000000
1.0000000000
15.0000000000

test 5
5
1
-2
-3
4
-1
0

answer 5
-1.6180339887
0.0000000000
0.3819660113
0.6180339887
2.6180339887

test 6
5
1
47
47
-35
23
48

answer 6
-45.9605895781
-1.4565711031
-0.8277595971

test 7
5
1
-14
37
18
-42
-16

answer 7
-0.8937080620
-0.3737580555
1.2403250836
3.7621983673
10.2649426666

test 8
5
-37
41
34
-38
47
42

answer 8
-0.9916715391
-0.6140289854
1.6927104673