# 3 More Chances Left

Algebra Level 4

$\large { 2 }^{ a }+{ 2 }^{ b }+{ 2 }^{ c }+{ 2 }^{ 13 }={ 2 }^{ d }$

Given that $$a,b,c,d$$ are positive integers that satisfy the above equation.Then what is the maximum value of $$a+b+c+d$$ ?

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