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program Pascal_matrix(Output);
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const N = 5;
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type NxN_Matrix = array[0..N,0..N] of integer;
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var PM,PX : NxN_Matrix;
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function Pascal_sym(x : integer; p : NxN_Matrix) : NxN_Matrix;
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var I,J : integer;
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begin
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for I := 1 to x do
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begin
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for J := 1 to x do p[I,J] := p[I-1,J]+p[I,J-1]
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end;
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Pascal_sym := p;
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end;
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function Pascal_upp(x : integer; p : NxN_Matrix) : NxN_Matrix;
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var I,J : integer;
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begin
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for I := 1 to x do
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begin
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for J := 1 to x do p[I,J] := p[I-1,J-1]+p[I,J-1]
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end;
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Pascal_upp := p
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end;
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function Pascal_low(x : integer; p : NxN_Matrix) : NxN_Matrix;
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var p1,p2 : NxN_Matrix;
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I,J : integer;
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begin
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p1 := Pascal_upp(x,p);
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p2 := p1;
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for I := 1 to x do
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begin
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for J := 1 to x do p1[J,I] := p2[I,J]
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end;
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Pascal_low := p1
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end;
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procedure PrintMatrix(titel : ansistring; x : integer; p : NxN_Matrix);
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var I,J : integer;
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begin
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writeln(titel);
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for I := 1 to x do
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begin
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for J := 1 to x do write(p[I,J]:5);
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writeln('');
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end;
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end;
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begin
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PX[0,0] := 0;
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PM[0,0] := 1;
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PM := Pascal_upp(N, PM);
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PrintMatrix('Upper:', N, PM);
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writeln('');
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PM := PX;
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PM[0,0] := 1;
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PM := Pascal_low(N, PM);
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PrintMatrix('Lower:', N, PM);
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writeln('');
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PM := PX;
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PM[1,0] := 1;
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PM := Pascal_sym(N, PM);
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PrintMatrix('Symmetric', N, PM);
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writeln('');
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readln;
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end.
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