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Problems
Contests
National and Regional Contests
Canada Contests
Gauss
1998 Gauss
3
1998 Gauss (7) #3
1998 Gauss (7) #3
Source:
February 25, 2017
Gauss
Problem Statement
If
S
=
6
×
10000
+
5
×
1000
+
4
×
10
+
3
×
1
S = 6 \times10 000 +5\times 1000+ 4 \times 10+ 3 \times 1
S
=
6
×
10000
+
5
×
1000
+
4
×
10
+
3
×
1
, what is
S
S
S
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
6543
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
65043
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
65431
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
65403
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
60541
<span class='latex-bold'>(A)</span>\ 6543 \qquad <span class='latex-bold'>(B)</span>\ 65043 \qquad <span class='latex-bold'>(C)</span>\ 65431 \qquad <span class='latex-bold'>(D)</span>\ 65403 \qquad <span class='latex-bold'>(E)</span>\ 60541
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
6543
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
65043
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
65431
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
65403
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
60541
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