Problem
Christmas Contest - Team Round - Problem 27
If N=\tan 1^{\circ} \tan 3 ^{\circ} + \tan 3 ^{\circ} \tan 5^{\circ} + \cdots + \tan 177 ^{\circ} \tan 179 ^{\circ} + \tan 179 ^{\circ} \tan 181 ^{\circ}, compute |N|.
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