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2007 Stanford Mathematics Tournament
6
SMT 2007 Team #6
SMT 2007 Team #6
Source:
June 30, 2012
Problem Statement
x
≡
(
∑
k
=
1
2007
k
)
m
o
d
2016
x\equiv\left(\sum_{k=1}^{2007}k\right)\mod{2016}
x
≡
(
∑
k
=
1
2007
k
)
mod
2016
, where
0
≤
x
≤
2015
0\le x\le 2015
0
≤
x
≤
2015
. Solve for
x
x
x
.
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