input:

100
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
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24
25
26
27
28
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31
32
33
34
35
36
37
38
39
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41
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44
45
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47
48
49
50
51
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53
54
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62
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66
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80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

output:

1
1
3
9
31
121
523
2469
12611
69161
404663
2512769
16485691
113842301
824723643
954837826
171606641
207648061
-424655431
-514271137
339535697
61465700
-94460386
335205814
215173742
103760697
99691326
67333798
-838891062
-455027893
-241920107
-318561905
-75775281
-90163951
-672571248
-57115895
516508...

result:

wrong answer 2nd lines differ - expected: '2', found: '1'