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$ include "seed7_05.s7i";
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const proc: main is func
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local
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var integer: n is 0;
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var integer: k is 0;
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begin
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for n range 0 to 66 do
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for k range 0 to n do
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write(n ! k <& " ");
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end for;
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writeln;
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end for;
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end func;
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const func bigInteger: (in bigInteger: n) ! (in var bigInteger: k) is func
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result
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var bigInteger: binom is 0_;
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local
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var bigInteger: numerator is 0_;
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var bigInteger: denominator is 0_;
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begin
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if n >= 0_ and k > n >> 1 then
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k := n - k;
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end if;
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if k < 0_ then
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binom := 0_;
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elsif k = 0_ then
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binom := 1_;
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else
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binom := n;
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numerator := pred(n);
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denominator := 2_;
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while denominator <= k do
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binom *:= numerator;
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binom := binom div denominator;
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decr(numerator);
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incr(denominator);
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end while;
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end if;
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end func;
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