BERTRAND KNEW THE ANWER BECAUSE CECIL DIDN'T SAY ANYTHING TILL ONE MINUTE.IF BERTRAND AND ALLAN'S HATS WERE BOTH OF THE SAME COLOUR ,THEN CECIL WOULD KNOW WHAT HIS HAT COLOUR WAS. BUT CECIL DIDN'T KNOW.CO BERTRAND KNEW THAT ALLAN'S HAT WAS OF DIFFERENT COLOUR THAN HIS. SINCE ALLAN'S HAT WAS BLACK, BERTRAND KNEW HIS HAT WAS WHITE...:):)
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