There are 8 tokens which are colored either black or white noted with A , B , C , D , E , F , G and H. Below are a number of statements about their colors and your task is to be completely sure about their color based on these statements since you don't know which color is which :

Neither B nor C has the color of D.

G is white if and only if E has the same color as H.

A and G have different colors if and only if E and F have the same color.

G is white if and only if D is white.

D is black excepting the case in which E has the same color as F.

A doesn't have the same color as B if either A , either G is white.

A , F and G don't have the same color.

Write the answer as the concatenation of the values 0 and 1 where 0 means black and 1 means white in the order A to H.

For example if tokens B C D and F are black and the other white the answer would be 10001011.

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