# The Mystic Circle

Logic Level 3

Arrange the numbers $$1 - 32$$, inclusive, in a circle such that the sum of any two adjacent numbers in the circular chain is a perfect square.

When you crack the Mystic Circle, you will obtain $$32$$ Square numbers which are the sums of adjacent numbers.

If the number of times the squares $$4, 9, 16, 25, 36, 49$$ appear is given by $$A. B, C, D, E, F$$ respectively, find $$1A + 2B + 3C + 4D + 5E + 6F$$.

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