Don't give up! You can do that.

Let a and b be positive integers such that- \[\frac { 43 }{ 197 } <\frac { a }{ b } <\frac { 17 }{ 77 } \] If the minimum value of b is \[2^{n}\], find n.

(The question is a modified form of one which appeared in INMO 2005.)

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