You are a magician. You're going to perform a trick.
You have b
black marbles and w
white marbles in your magic hat, and an infinite supply of black
and white marbles that you can pull out of nowhere.
You ask your audience to repeatedly remove a pair of marbles from your hat and, for each pair removed, you add one marble to the hat according to the following rule until there is only 1 marble left.
If the marbles of the pair that is removed are of the same color, you add a white marble to the hat. Otherwise, if one is black and one is white, you add a black marble.
Given the initial number of black and white marbles in your hat, your trick is to predict the color of the last marble.
Note: A magician may confuse your eyes, but not your mind ;-)
[input]
integerb
Initial number of black marbles in the hat.
1 <= b <= 10^9
[input]
integerw
Initial number of white marbles in the hat.
1 <= w <= 10^9
[output]
a string
"Black"
or "White"
if you can safely predict the color of the last marble. If not,
return "Unsure"
.