The shape of your input image is $($ n$\_$f$,\backslash$ n$\_$w$,$n$\_$c$)$the convolution layer uses a $1-$by$-1$ filter with stride $1$ and padding$=0.$ Which of the following statements are correct?

a$.$ You can reduce n$,$ by using $1$ x $1$ convolution. However, you cannot change n$\_$f$,\backslash$ n$\_$w

b$.$ You can use a standard maxpooling to reduce n$\_$f$,\backslash$ n$\_$w$,$ but not n$\_$c

c$.$ You can use a $1$ x $1$ convolution to reduce n$\_$f$,\backslash$ n$\_$w$,$n$\_$c

d$.$ You can use maxpooling to reduce n$\_$f$,\backslash$ n$\_$w$,$n$\_$c