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25
Task/McNuggets-problem/ALGOL-W/mcnuggets-problem.alg
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25
Task/McNuggets-problem/ALGOL-W/mcnuggets-problem.alg
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@ -0,0 +1,25 @@
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begin % Solve the McNuggets problem: find the largest n <= 100 for which there %
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% are no non-negative integers x, y, z such that 6x + 9y + 20z = n %
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integer maxNuggets;
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maxNuggets := 100;
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begin
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logical array isSum ( 0 :: maxNuggets );
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integer largest;
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% find the numbers that can be formed %
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for x := 0 step 6 until maxNuggets do begin
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for y := x step 9 until maxNuggets do begin
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for z := y step 20 until maxNuggets do isSum( z ) := true
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end for_y
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end for_x ;
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% show the highest number that cannot be formed %
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largest := -1;
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for i := maxNuggets step -1 until 0 do begin
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if not isSum( i ) then begin
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largest := i;
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goto foundLargest
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end if_not_isSum_i
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end for_i;
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foundLargest:
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write( i_w := 1, s_w := 0, "The largest non-McNugget number is: ", largest )
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end
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end.
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@ -0,0 +1,6 @@
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##
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var nuggets := [0..100];
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foreach var (x, y, z) in Cartesian(Range(0, 100 div 6), Range(0, 100 div 9), Range(0, 100 div 20)) do
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Exclude(nuggets, 6 * x + 9 * y + 20 * z);
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nuggets.Max.println;
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