Geodesic
The punishing factors for convex pairs are $2^{n-1}$.
Revista matemática iberoamericana, Tome 23 (2007) no. 3 
Avkhadiev, F.;  Wirths, K.J. The punishing factors for convex pairs are $2^{n-1}$.. Revista matemática iberoamericana, Tome 23 (2007) no. 3. http://geodesic.mathdoc.fr/item/RMI_2007_2007_1_a32/
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     author = {Avkhadiev, F. and  Wirths, K.J.},
     title = {The punishing factors for convex pairs are $2^{n-1}$.},
     journal = {Revista matem\'atica iberoamericana},
     pages = {847-860},
     year = {2007},
     volume = {23},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RMI_2007_2007_1_a32/}
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