arr = []
def val(n):
    if(n==1):
        return
    x = 1
    for i in arr:
        x *= i
    x = 1-x
    print(len(arr),x)
    arr.append(x)
    val(n-1)

arr.append(0.5)
val(101)




1 0.5
2 0.75
3 0.8125
4 0.84765625
5 0.8708648681640625
6 0.8875407504383475
7 0.9001878332503175
8 0.910150301881584
9 0.9182232701335544
10 0.9249107036812041
11 0.930549106102856
12 0.9353725327659683
13 0.9395492422870542
14 0.9432035363951234
15 0.9464293746731435
16 0.9492991865710539
17 0.9518697590534108
18 0.9541862791469875
19 0.9562851761653852
20 0.9581961619882766
21 0.959943722860787
22 0.9615482281990405
23 0.9630267669536735
24 0.9643937869155715
25 0.9656615893257853
26 0.9668407157734162
27 0.9679402539038356
28 0.9689680812235861
29 0.9699310612065322
30 0.9708352022866974
31 0.9716857877123553
32 0.9724874823298251
33 0.9732444209583768
34 0.9739602819682294
35 0.9746383488834035
36 0.9752815622307635
37 0.9758925633965151
38 0.9764737318961061
39 0.9770272171870024
40 0.9775549659371755
41 0.9780587454912569
42 0.9785401641406744
43 0.9790006886957835
44 0.9794416597710349
45 0.9798643051240048
46 0.980269751332144
47 0.9806590340446394
48 0.9810331070087258
49 0.9813928500384683
50 0.9817390760681592
51 0.9820725374110036
52 0.9823939313258836
53 0.9827039049800412
54 0.9830030598829806
55 0.9832919558563222
56 0.9835711145954293
57 0.9838410228710658
58 0.9841021354129192
59 0.9843548775113484
60 0.9845996473690333
61 0.9848368182301914
62 0.9850667403115757
63 0.9852897425564976
64 0.9855061342305518
65 0.9857162063754945
66 0.985920233135802
67 0.9861184729707522
68 0.9863111697634159
69 0.986498553836662
70 0.9866808428851634
71 0.9868582428314131
72 0.9870309486128912
73 0.9871991449067727
74 0.9873630067978905
75 0.9875227003950806
76 0.9876783834005116
77 0.9878302056361363
78 0.9879783095309951
79 0.9881228305727277
80 0.9882638977263318
81 0.9884016338229098
82 0.9885361559208876
83 0.9886675756419578
84 0.9887959994837886
85 0.9889215291113559
86 0.9890442616285864
87 0.9891642898318492
88 0.9892817024466974
89 0.9893965843491386
90 0.9895090167726035
91 0.989619077501681
92 0.9897268410535971
93 0.9898323788483352
94 0.989935759368219
95 0.9900370483077133
96 0.9901363087141362
97 0.990233601119919
98 0.9903289836670038
99 0.990422512223917
100 0.990514240496018

​