MathDB

We define

I(n)

as the result when the digits of

n

are reversed. For example,

I(123)=321

I(2008)=8002

. Find all integers

n

1\leq{n}\leq10000

for which

I(n)=\lceil{\frac{n}{2}}\rceil

. Note:

\lceil{x}\rceil

denotes the smallest integer greater than or equal to

x

. For example,

\lceil{2.1}\rceil=3

\lceil{3.9}\rceil=4

\lceil{7}\rceil=7

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