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:- initialization(main).
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rms(Xs, Y) :-
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sum_of_squares(Xs, 0, Sum),
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length(Xs, N),
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Y is sqrt(Sum / N).
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sum_of_squares([], Sum, Sum).
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sum_of_squares([X|Xs], A, Sum) :-
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A1 is A + X * X,
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sum_of_squares(Xs, A1, Sum).
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main :-
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bagof(X, between(1, 10, X), Xs),
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rms(Xs, Y),
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format('The root-mean-square of 1..10 is ~f\n', [Y]).
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