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@ -7,5 +7,5 @@
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)
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#problem()
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$n$ black and $n$ white points are randomly distributed on a plane. No three points are collinear.\
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$n$ black and $n$ white points are randomly distributed on a plane. No three points are colinear.\
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Show that it is always possible draw $n$ nonintersecting lines between pairs of points of different colors.
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@ -83,7 +83,7 @@ All integrals are of the form $integral_a^b 1 #h(1mm) d x$.
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$
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f_(n+1) = g_n & = x + y + 3^n c + 3^0 + 3^1 + ... + 3^n \
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& = x + y + 3^n c + sum_(i=0)^n 3^i \
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& = x + y + 3^n c + sum_(i=0)^n 3^i \
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& = x + y + 3^n c + (3^(n+1) + 1)/2
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$
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]
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