Processing math: 25%
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USAMO
1985
Problem - 3513
Let
a
1
,
a
2
,
a
3
,
⋯
be a non-decreasing sequence of positive integers. For
m
≥
1
, define
b
m
=
min
, that is,
b_m
is the minimum value of
n
such that
a_n\ge m
. If
a_{19}=85
, determine the maximum value of
a_1+a_2+\cdots+a_{19}+b_1+b_2+\cdots+b_{85}
.
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