How will you do it? (I)

Let a, b and c be three integers such that;

  • \(-20 \le a,b,c \le +20\)
  • \( a>b \), \( (a+b+c)^{2}=4\) and \( a^{2}+b^{2}+c^{2}=266\)

Find the minimum value of \( |a^{2}b+b^{2}c+c^{2}a| \).


this problem is a part of the set Fundamental Programming
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