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Putnam
2019 Putnam
A1
A1
Part of
2019 Putnam
Problems
(1)
Putnam 2019 A1
Source: 2019 William Lowell Putnam Competition
12/10/2019
Determine all possible values of
A
3
+
B
3
+
C
3
ā
3
A
B
C
A^3+B^3+C^3-3ABC
A
3
+
B
3
+
C
3
ā
3
A
BC
where
A
A
A
,
B
B
B
, and
C
C
C
are nonnegative integers.
Putnam
Putnam 2019