The next pentagonal spider web has 20 vertices. Place the odd numbers from 1 to 31, both inclusive and the numbers 20,32,34,38 and 40 at the vertices of the 4 pentagons and in the center of the spider web, so that the sum of the 5 numbers of the vertices of any pentagon is equal to the sum of the five numbers of any radius and equal to 100.

#### Solution

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