In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: a group of people participate in some curriculum , 35 of them practice yoga , 20 study cooking , 15 study weaving , 7 of them study cooking only , 5 of them study both the cooking and yoga , 3 of them participate all curriculums . how many people study both cooking and weaving ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5

Output: e


Input: Consider Input: Problem: in township k , 1 / 5 of the housing units are equipped with cable television . if 1 / 10 of the housing units , including 1 / 3 of those that are equipped with cable television , are equipped with videocassette recorders , what fraction of the housing units have neither cable television nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15

Output: a


Input: Consider Input: Problem: what is log 3 ( 4 ) log 4 ( 5 ) . . . log 80 ( 81 ) ? 
Options: a ) 1 , b ) 4 , c ) 81 , d ) log 80 243 , e ) e 81


Output: b