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func poly_long_div(rn, rd) {
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var n = rn.map{_}
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var gd = rd.len
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if (n.len >= gd) {
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return(gather {
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while (n.len >= gd) {
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var piv = n[0]/rd[0]
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take(piv)
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{ |i|
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n[i] -= (rd[i] * piv)
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} << ^(n.len `min` gd)
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n.shift
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}
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}, n)
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}
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return([0], rn)
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}
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func poly_print(c) {
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var l = c.len
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c.each_kv {|i, n|
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print n
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print("x^", (l - i - 1), " + ") if (i < l-1)
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}
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print "\n";
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}
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var poly = [
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Pair([1,-12,0,-42], [1, -3]),
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Pair([1,-12,0,-42], [1,1,-3]),
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Pair( [1,3,2], [1,1]),
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Pair( [1,-4,6,5,3], [1,2,1]),
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]
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poly.each { |pair|
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var (q, r) = poly_long_div(pair.first, pair.second)
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poly_print(q)
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poly_print(r)
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print "\n"
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}
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