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Putnam
1971 Putnam
A5
A5
Part of
1971 Putnam
Problems
(1)
Putnam 1971 A5
Source:
4/6/2022
A game of solitaire is played as follows. After each play, according to the outcome, the player receives either
a
a
a
or
b
b
b
points (
a
a
a
and
b
b
b
are positive integers with
a
a
a
greater than
b
b
b
), and his score accumulates from play to play. It has been noticed that there are thirty-five non-attainable scores and that one of these is
58
58
58
. Find
a
a
a
and
b
b
b
.
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