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Task/Hofstadter-Q-sequence/Seed7/hofstadter-q-sequence.seed7
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38
Task/Hofstadter-Q-sequence/Seed7/hofstadter-q-sequence.seed7
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$ include "seed7_05.s7i";
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const type: intHash is hash [integer] integer;
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var intHash: qHash is intHash.value;
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const func integer: q (in integer: n) is func
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result
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var integer: q is 1;
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begin
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if n in qHash then
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q := qHash[n];
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else
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if n > 2 then
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q := q(n - q(pred(n))) + q(n - q(n - 2));
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end if;
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qHash @:= [n] q;
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end if;
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end func;
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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: less_than_preceding is 0;
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begin
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writeln("q(n) for n = 1 .. 10:");
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for n range 1 to 10 do
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write(q(n) <& " ");
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end for;
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writeln;
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writeln("q(1000)=" <& q(1000));
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for n range 2 to 100000 do
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if q(n) < q(pred(n)) then
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incr(less_than_preceding);
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end if;
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end for;
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writeln("q(n) < q(n-1) for n = 2 .. 100000: " <& less_than_preceding);
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end func;
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