This problem has been troubling me from quite a long time.

The circumference of two concentric disks is divided into 200 sections
each. For the outer disk, 100 of the sections are painted red and 100 of
the sections are painted white. For the inner disk the sections are painted
red or white in an arbitrary manner. Show that it is possible to align the
two disks so that 100 or more of the sections on the inner disk have their
colors matched with the corresponding sections on the outer disk.


Please send in solutions. It seems to be trivial application of PHP.

Thanks,

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