Regular expression Christmas puzzle

In the grid below, write r, g, b, c, m, y, k, or w in every square so that:

each row (reading left to right) satisfies the regular expression to the right of the row;
each column (reading top to bottom) satisfies the regular expression below the column.

The squares containing an r will be coloured red, those containing a g will be coloured green, those containing a b will be coloured blue, those containing a c will be coloured cyan, those containing an m will be coloured magenta, those containing a y will be coloured yellow, those containing a k will be coloured black, and those containing a w will be left white.

If you've not used regular expressions before, you can find a short introduction in this blog post. If you'd rather solve this puzzle on paper, you can download this printable PDF.

r g b c m y k w

/^w+yw+$/

/^([kw]+)[^kw]\1$/

/^(g|wwwg|gww)+.$/

/^wy?g*y+w+$/

/^((w|gg)(ww|g)){3}$/

/^[wg](w|g)[gw](.)\2+\1{2}$/

/^.g*[^y]$/

/^([gk][gk][gk])\1\1$/

/^yw+kw+y$/

/^w*b(bb)+w*$/

/^(w+)w?(bb?)\2\2\1$/

/^(www|bbb)+$/

/^w+gyw+$/

/^[wg]*y[wg]*$/

/^.*gwg.*gwb.*$/

/^[^g]+g+[^g]+$/

/^y?g+y?g+k?b+$/

/^[w]+g*w[^w]+$/

/^w+g+wg+[^g]+$/

/^w*yw*g+w*$/

/^w*y?g?y?w*$/