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2017 AIME Problems
3
Wot n' Summation
Wot n' Summation
Source: 2017 AIME I #3
March 8, 2017
2017 AIME I
Problem Statement
For a positive integer
n
n
n
, let
d
n
d_n
d
n
be the units digit of
1
+
2
+
⋯
+
n
1 + 2 + \dots + n
1
+
2
+
⋯
+
n
. Find the remainder when
∑
n
=
1
2017
d
n
\sum_{n=1}^{2017} d_n
n
=
1
∑
2017
d
n
is divided by
1000
1000
1000
.
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