/* package whatever; // don't place package name! */
import java.util.* ;
import java.lang.* ;
import java.io.* ;
/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
{
// your code goes here
Scanner in
= new Scanner
( System .
in ) ; int t = in.nextInt ( ) ;
int a,b,c,count= 0 ;
for ( int i= 0 ; i< t; i++ ) {
a = in.nextInt ( ) ;
b = in.nextInt ( ) ;
c = in.nextInt ( ) ;
while ( ( b> 0 ) && ( c> 1 ) ) {
b= b- 1 ;
c= c- 2 ;
count = count+ 3 ;
}
while ( ( a> 0 ) && ( b> 1 ) ) {
a= a- 1 ;
b= b- 2 ;
count = count+ 3 ;
}
}
}
}
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