@ravijha thats not correct you changed the question,now the strings in language accpeted going to be less if you say that way.
As one can see there are two conditions which can make the language accepted by pda. So in first condition we would be pushing a and popping b to check equivalence for n=m and just do nothing when you see c , similarly for second condition we goona skip a and push b and pop c to check equivalence of number of b'c and c's. So this way its gonna make it non deterministic.