March 2014 update
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14
Task/Average-loop-length/PARI-GP/average-loop-length.pari
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14
Task/Average-loop-length/PARI-GP/average-loop-length.pari
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expected(n)=sum(i=1,n,n!/(n-i)!/n^i,0.);
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test(n, times)={
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my(ct);
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for(i=1,times,
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my(x=1,bits);
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while(!bitand(bits,x),ct++; bits=bitor(bits,x); x = 1<<random(n))
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);
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ct
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};
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TIMES=1000000;
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{for(n=1,20,
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my(cnt=test(n, TIMES),avg=cnt/TIMES,ex=expected(n),diff=(avg/ex-1)*100.);
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print(n"\t"avg*1."\t"ex*1."\t"diff);
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)}
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