Posted by **gaurav** on Saturday, March 12, 2011 at 9:24am.

The digits 0, 1, and 8 look much the same if rotated 180 degrees on the page (turned

upside down). Also, the digit 6 looks much like a 9, and vice versa, when rotated 180

degrees on the page. A multi-digit number may also look like itself when rotated on the

page; for example 9966 and 10801 do, but 999 and 1234 do not.

You are to write a program to count how many numbers from a given interval look like

themselves when rotated 180 degrees on the page. For example, in the interval [1..100]

there are six : 1, 8, 11, 69, 88, and 96.

Your program should take as input two integers, m and n, which define the interval to be

checked, 1 ≤ m ≤ n ≤ 32000. The output from your program is the number of rotatable

numbers in the interval.

You may assume that all input is valid.

Input/output is not from/to files for this question. Keyboard input and screen output is

expected.

Sample Session User input is in italics.

Enter the lower bound of the interval:

1

Enter the upper bound of the interval:

100

The number of rotatable numbers is:

6

I am kind of stuck withe logic... help me please.

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