$1.[2$ points$]$ First histogram

Given intervals $[0,1),[1,2),[2,3),[3,4),$ and $[4,5),$ first construct the L$1-$normalized histograms for A and B$.$

You can write each histogram as a $5-$dimensional vector, where the first$/$second$/$third$/$fourth$/$

fifth element corresponds to the interval $[0,1)/[1,2)/[2,3)/[3,4)/[4,5).$

Then, compute the L$1$ distance between the L$1-$normalized histograms of A and B

$\{$capital$$: $1,$state$$: $2,$team$$: $3,$basketball$$: $4,$hokey$$: $5,$professional$$: $6,$bank$$: $7\}$

Derive the BoW representation $($i$.$e$.,$ a $7-$dimensional vector$)$ for the following three sentences without normalization: