#17 SQUARES AND COINS


20 coins are placed as shown in the image below. Now you can draw squares where all corners must be at the position of a coin (two squares are already drawn). Find all squares (hint: there are more than 20 squares).

What is the minimum number of coins one must remove, so that it is not possible to draw any square ?


Correct answer: 6

Explanation:

There are altogether 21 squares (see images below). At least 6 coins must be removed (one example is shown at the bottom of the image below).




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