Two images were taken for a billiard table from the exact same position, one just prior to the final game$-$winning shot $($which sank the last three white balls$)$ and the other immediately after the table has been cleared. The histograms of the $4-$bit digitized images are given as:

H$1=[010030070070060050060050040040060050020000]$

H$2=[010040070080060050060050040040060040010000]$

Based on this information

The histogram of the image containing the balls is: