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Problems
Contests
National and Regional Contests
Italy Contests
ITAMO
1985 ITAMO
1
Fun Product
Fun Product
Source:
February 1, 2006
Problem Statement
Let
x
1
=
97
x_1 = 97
x
1
=
97
, and for
n
>
1
n > 1
n
>
1
let
x
n
=
n
x
n
−
1
x_n = \frac{n}{x_{n - 1}}
x
n
=
x
n
−
1
n
. Calculate the product
x
1
x
2
⋯
x
8
x_1 x_2 \dotsm x_8
x
1
x
2
⋯
x
8
.
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