Exercise $3\mathrm{.}3\mathrm{.}3$ : In Fig. $3\mathrm{.}6$ is a matrix with six rows. $($a$)$ Compute the minhash signature for each column if we use the following three hash functions: h$1($x$)=2$x $+1$ mod $6$; h$2($x$)=3$x $+2$ mod $6$; h$3($x$)=5$x$+2$ mod$6.($b$)$ Which of these hash functions are true permutations?$($c$)$ HowclosearetheestimatedJaccardsimilaritiesforthesixpairsofcolumns to the true Jaccard similarities?