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73
Task/Hailstone-sequence/Modula-2/hailstone-sequence.mod2
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73
Task/Hailstone-sequence/Modula-2/hailstone-sequence.mod2
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MODULE hailst;
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IMPORT InOut;
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CONST maxCard = MAX (CARDINAL) DIV 3;
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TYPE action = (List, Count, Max);
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VAR a : CARDINAL;
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PROCEDURE HailStone (start : CARDINAL; type : action) : CARDINAL;
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VAR n, max, count : CARDINAL;
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BEGIN
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count := 1;
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n := start;
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max := n;
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LOOP
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IF type = List THEN
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InOut.WriteCard (n, 12);
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IF count MOD 6 = 0 THEN InOut.WriteLn END
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END;
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IF n = 1 THEN EXIT END;
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IF ODD (n) THEN
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IF n < maxCard THEN
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n := 3 * n + 1;
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IF n > max THEN max := n END
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ELSE
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InOut.WriteString ("Exceeding max value for type CARDINAL at count = ");
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InOut.WriteCard (count, 10);
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InOut.WriteString (" for intermediate value ");
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InOut.WriteCard (n, 10);
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InOut.WriteString (". Aborting.");
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HALT
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END
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ELSE
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n := n DIV 2
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END;
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INC (count)
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END;
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IF type = Max THEN RETURN max ELSE RETURN count END
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END HailStone;
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PROCEDURE FindMax (num : CARDINAL);
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VAR val, maxCount, maxVal, cnt : CARDINAL;
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BEGIN
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maxCount := 0;
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maxVal := 0;
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FOR val := 2 TO num DO
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cnt := HailStone (val, Count);
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IF cnt > maxCount THEN
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maxVal := val;
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maxCount := cnt
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END
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END;
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InOut.WriteString ("Longest sequence below "); InOut.WriteCard (num, 1);
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InOut.WriteString (" is "); InOut.WriteCard (HailStone (maxVal, Count), 1);
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InOut.WriteString (" for n = "); InOut.WriteCard (maxVal, 1);
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InOut.WriteString (" with an intermediate maximum of ");
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InOut.WriteCard (HailStone (maxVal, Max), 1);
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InOut.WriteLn
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END FindMax;
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BEGIN
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a := HailStone (27, List);
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InOut.WriteLn;
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InOut.WriteString ("Iterations total = "); InOut.WriteCard (HailStone (27, Count), 12);
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InOut.WriteString (" max value = "); InOut.WriteCard (HailStone (27, Max) , 12);
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InOut.WriteLn;
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FindMax (100000);
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InOut.WriteString ("Done."); InOut.WriteLn
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END hailst.
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