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42
2012-2013 Winter OMO #42
2012-2013 Winter OMO #42
Source:
January 16, 2013
Online Math Open
modular arithmetic
quadratics
algebra
polynomial
Putnam
number theory
Problem Statement
Find the remainder when
∏
i
=
0
100
(
1
−
i
2
+
i
4
)
\prod_{i=0}^{100}(1-i^2+i^4)
i
=
0
∏
100
(
1
−
i
2
+
i
4
)
is divided by
101
101
101
.Victor Wang
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