# STEP $2$ Define a vector source by combining two consecutive pixels

# and calculate the probabilities of these vector symbols

# ADD YOUR CODE HERE

# notes:

# since each pixel has $8$ intensity levels, there will be $8$x$8=64$ symbols in the vector source.

# the symbols for the vector source could be represented as $"$aa$,$ ab$,$ ac$,...,$ hf$,$ fg$,$ hh$."$

# there are a total of $512*512/2=131,072$ sample vectors in the input image to calculate the histogram

# calculate the histogram of the vector symbols

# obtain the pdf by normalizing the histogram

# plot the pdf of this vector source

height, width $=$ imgLumQuan.shape

histogram $=$ np$.$zeros$(64,$ dtype$=$int$)$

for i in range$($height$)$:

for j in range$(0,$ width $-1,2)$:

vector $=($imgLumQuan$[$i$,$ j$],$ imgLumQuan$[$i$,$ j $+1])$

I need to $1$d pdf