Just think over it

It is given to you that,

x 3 + y 3 + z 3 = w 3 x^3+y^3+z^3=w^3

where x , y , z , w x, y, z, w are natural numbers. Find the minimum value of x , y , z , w x, y, z, w which satisfy above equation, and write your solution as x + y + z + w x+y+z+w


The answer is 18.

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