Table used in Hungarian method for solving assignment problem

My new welcome. After many improved there is a table for you created with Mathcha/TikZ that it is a fast tool online. It is not very easy to create but I leave to you to put the exact numbers into the cells. If you see the code you can find the corrispondence numbers.

documentclass[a4paper,12pt]{article}
usepackage{mathtools,amssymb,xcolor}
usepackage{tikz}

begin{document}
tikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt        
begin{tikzpicture}[x=0.75pt,y=0.75pt,yscale=-1,xscale=1]
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,34) -- (167,34) -- (167,84) -- (117,84) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,34) -- (217,34) -- (217,84) -- (167,84) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,34) -- (267,34) -- (267,84) -- (217,84) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,34) -- (317,34) -- (317,84) -- (267,84) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,34) -- (367,34) -- (367,84) -- (317,84) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,84) -- (167,84) -- (167,134) -- (117,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,84) -- (117,84) -- (117,134) -- (67,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,84) -- (217,84) -- (217,134) -- (167,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,84) -- (267,84) -- (267,134) -- (217,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,84) -- (317,84) -- (317,134) -- (267,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,84) -- (367,84) -- (367,134) -- (317,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,84) -- (417,84) -- (417,134) -- (367,134) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,134) -- (117,134) -- (117,184) -- (67,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,134) -- (167,134) -- (167,184) -- (117,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,134) -- (217,134) -- (217,184) -- (167,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,134) -- (267,134) -- (267,184) -- (217,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,134) -- (317,134) -- (317,184) -- (267,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,134) -- (367,134) -- (367,184) -- (317,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,134) -- (417,134) -- (417,184) -- (367,184) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,184) -- (117,184) -- (117,234) -- (67,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,184) -- (167,184) -- (167,234) -- (117,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,184) -- (317,184) -- (317,234) -- (267,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,184) -- (367,184) -- (367,234) -- (317,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,184) -- (417,184) -- (417,234) -- (367,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,184) -- (217,184) -- (217,234) -- (167,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,184) -- (267,184) -- (267,234) -- (217,234) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,234) -- (117,234) -- (117,284) -- (67,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,234) -- (267,234) -- (267,284) -- (217,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,234) -- (217,234) -- (217,284) -- (167,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,234) -- (317,234) -- (317,284) -- (267,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,234) -- (167,234) -- (167,284) -- (117,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,234) -- (417,234) -- (417,284) -- (367,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,234) -- (367,234) -- (367,284) -- (317,284) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,284) -- (117,284) -- (117,334) -- (67,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,284) -- (167,284) -- (167,334) -- (117,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,284) -- (217,284) -- (217,334) -- (167,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,284) -- (267,284) -- (267,334) -- (217,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,284) -- (317,284) -- (317,334) -- (267,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,284) -- (367,284) -- (367,334) -- (317,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,284) -- (417,284) -- (417,334) -- (367,334) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (67,334) -- (117,334) -- (117,384) -- (67,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (117,334) -- (167,334) -- (167,384) -- (117,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (167,334) -- (217,334) -- (217,384) -- (167,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (217,334) -- (267,334) -- (267,384) -- (217,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (267,334) -- (317,334) -- (317,384) -- (267,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (317,334) -- (367,334) -- (367,384) -- (317,384) -- cycle ;
draw  [color={rgb, 255:red, 155; green, 155; blue, 155 }  ,draw opacity=1 ][fill={rgb, 255:red, 161; green, 250; blue, 253 }  ,fill opacity=0.67 ] (367,334) -- (417,334) -- (417,384) -- (367,384) -- cycle ;
draw (139,52.4) node [anchor=north west][inner sep=0.75pt]    {$I$};
draw (184,52.4) node [anchor=north west][inner sep=0.75pt]    {$II$};
draw (230,52.4) node [anchor=north west][inner sep=0.75pt]    {$III$};
draw (280,52.4) node [anchor=north west][inner sep=0.75pt]    {$IV$};
draw (334,52.4) node [anchor=north west][inner sep=0.75pt]    {$V$};
draw (84,101.4) node [anchor=north west][inner sep=0.75pt]    {$A$};
draw (83,151.4) node [anchor=north west][inner sep=0.75pt]    {$B$};
draw (83,205.4) node [anchor=north west][inner sep=0.75pt]    {$C$};
draw (83,252.4) node [anchor=north west][inner sep=0.75pt]    {$D$};
draw (84,299.4) node [anchor=north west][inner sep=0.75pt]    {$E$};
draw (133,340) node [anchor=north west][inner sep=0.75pt]    {$overset{checkmark}{(4)}$};
draw (283,340) node [anchor=north west][inner sep=0.75pt]    {$overset{checkmark}{(2)}$};
draw (134,102.4) node [anchor=north west][inner sep=0.75pt]    {$5$};
draw (181,102.4) node [anchor=north west][inner sep=0.75pt]    {$boldsymbol{[0]}$};
draw (238,102.4) node [anchor=north west][inner sep=0.75pt]    {$3$};
draw (134,153.4) node [anchor=north west][inner sep=0.75pt]    {$7$};
draw (130,201.4) node [anchor=north west][inner sep=0.75pt]    {$11$};
draw (236,153.4) node [anchor=north west][inner sep=0.75pt]    {$9$};
draw (185,153.4) node [anchor=north west][inner sep=0.75pt]    {$8$};
draw (283,102.4) node [anchor=north west][inner sep=0.75pt]    {$10$};
draw (131,250.4) node [anchor=north west][inner sep=0.75pt]    {$12$};
draw (131,300.4) node [anchor=north west][inner sep=0.75pt]    {$13$};
draw (283,153.4) node [anchor=north west][inner sep=0.75pt]    {$14$};
draw (181,201.4) node [anchor=north west][inner sep=0.75pt]    {$15$};
draw (232,201.4) node [anchor=north west][inner sep=0.75pt]    {$16$};
draw (283,201.4) node [anchor=north west][inner sep=0.75pt]    {$17$};
draw (181,250.4) node [anchor=north west][inner sep=0.75pt]    {$18$};
draw (232,251.4) node [anchor=north west][inner sep=0.75pt]    {$19$};
draw (283,251.4) node [anchor=north west][inner sep=0.75pt]    {$20$};
draw (182,300.4) node [anchor=north west][inner sep=0.75pt]    {$21$};
draw (232,300.4) node [anchor=north west][inner sep=0.75pt]    {$22$};
draw (282,300.4) node [anchor=north west][inner sep=0.75pt]    {$23$};
draw (333,102.4) node [anchor=north west][inner sep=0.75pt]    {$40$};
draw (334,153.4) node [anchor=north west][inner sep=0.75pt]    {$41$};
draw (333,201.4) node [anchor=north west][inner sep=0.75pt]    {$42$};
draw (333,251.4) node [anchor=north west][inner sep=0.75pt]    {$31$};
draw (332,300.4) node [anchor=north west][inner sep=0.75pt]    {$74$};
draw (380,153.4) node [anchor=north west][inner sep=0.75pt]    {$checkmark(5)$};
draw (380,251.4) node [anchor=north west][inner sep=0.75pt]    {$checkmark(3)$};
draw (380,300.4) node [anchor=north west][inner sep=0.75pt]    {$checkmark(1)$};
draw    (118,111) -- (367,111) ;
draw    (118,209) -- (367,209) ;
draw    (142,85) -- (142,333) ;
draw    (342,85) -- (342,333) ;

end{tikzpicture}
end{document}

Here is a way to do that with the environment {NiceArray} of nicematrix.

That environment is similar to the classical environment {array} (of array) but creates PGF/Tikz nodes under the cells, rows and columns of the tabular.

So, it's possible to use Tikz to draw whatever rule you want after the construction of the main array.

documentclass{article}
usepackage{nicematrix,tikz}
usetikzlibrary{calc}
usepackage{amssymb} % checkmark

begin{document}

[setlength{arraycolsep}{0pt}
begin{NiceArray}{>{rule[-2.8mm]{0pt}{8mm}}ccccccc}%
  [
    columns-width=8mm ,
    corners = {NW,NE} ,
    hvlines ,
    code-before = arraycolor{cyan!10}
  ]
  & I  & II  & III & IV & V 
A & 5  & [0] & 3   & 10 & 40 & NotEmpty 
B & 7  & 8   & 9   & 14 & 41 & {scriptsizecheckmark}(5)   
C & 11 & 15  & 16  & 17 & 42                                
D & 12 & 18  & 19  & 20 & 31 & {scriptsizecheckmark}(3)   
E & 13 & 21  & 22  & 23 & 74 & {scriptsizecheckmark}(1)   
& overset{checkmark}{(4)} & & & overset{checkmark}{(2)} 
CodeAfter 
  tikz draw (2.5-|2) -- (2.5-|7) 
              (4.5-|2) -- (4.5-|7) 
              (2-|2.5) -- (7-|2.5) 
              (2-|6.5) -- (7-|6.5) ;
end{NiceArray}]

end{document}

You need several compilations (because nicematrix uses PGF/Tikz nodes).