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type mas=array[0..1000,0..1000] of longint;
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     vector=array[0..1000,0..1000] of char;
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    vector=array[0..1000,0..1000] of char;
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var a:vector; b:mas;
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var
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    ii,jj,i,j,n,k,f,l:longint;s:string;x,c,c1:char;
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   a:vector;
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   b:mas;
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   ii,jj,i,j,n,k,f,l:longint;
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   s:string;
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   if aa>bb then max:=aa else max:=bb;
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   x,c,c1:char;
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function max(aa,bb:longint):longint;
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begin
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 readln (n);     k:=0;  c:='f';
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  if aa>bb then
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 for i := 1 to n do
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      max:=aa
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  begin
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  else
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      max:=bb;
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    for j := 1 to n do  begin read(x);a[i,j]:=x;if x=c then k:=k+1;c:=x;
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                        end; readln;
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   end;
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readln(n);
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   readln(s);
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for i := 1 to n do begin
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  for j := 1 to n do begin
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  if n*n-1=k then
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    read(x);
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   begin
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    a[i,j]:=x;
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   f:=1;
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 end; readln;
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     for I := 1 to n do
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       f:=(f*i) mod 1000003;
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readln(s);
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       writeln(f)
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b[1,1]:=1;
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   end   else
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   begin
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for i := 1 to n do
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  for j := 1 to n do
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    c:=s[1];
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    if a[i,j]=s[i+j-1] then begin
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    c1:=s[2*n-1];
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          b[i+1,j]:=(b[i+1,j]+b[i,j])mod 1000003;
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 if (a[1,1]<>c)or (a[n,n]<>c1) then  writeln(0) ELSE
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          b[i,j+1]:=(b[i,j+1]+b[i,j])mod 1000003;
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    end;
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   b[1,1]:=1;
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   for I := 2 to n do
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writeln(b[n,n] mod 1000003);
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     begin
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     if (a[1,i]=s[i]) and (b[1,i-1]<>0) then  b[1,i]:=1;
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