"Source: Text/Incidence/Tableau.text";
"Line: 1254";
"Date: Fri Sep 26 12:10:10 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Incidence/Tableau.text, line: 1254
// Example: H158E15 ()
print "Example: H158E15";
ei := GetEchoInput();
SetEchoInput(true);
P := [4,3,2];
Runs := 10000;
 
S := Setseq( StandardTableaux( P ) );
Count := [0: i in [1..#S]];
 
for k in [1..Runs] do
    T := RandomTableau( P );
    i := Index(S,T);
    Count[i] +:= 1;
end for;
 
Average :=  Runs/#S;
Diff := [RealField(2) | Abs( (Count[i] - Average)/Average )
                      : i in [1..#Count]];
 
AvgDiff := (&+ Diff)/#Diff;
AvgDiff;
SetEchoInput(ei);
