# SUPER DUPER TRICK!

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THE SUPER DUPER AMAZING NUMBER TRICK

THINK OF ANY NUMBER BETWEEN I AND f, , AOO, Oot).

I. SQUARE IT.

2. ADD THE RESULT TO YOUR ORIGINAL NUMBER.

DIVIDE BY YOUR ORIGINAL NUMBER.

ll, ADD, OH. HOW ABOUT 25.

s, SUBTRACT YOUR ORIGINAL NUMBER.

6. DIVIDE BY til,

T CALL THE NEW NUMBER "R".

8. NOW, PROVE THAT THE VERTICES OF EVERY PLANAR GRAPH

CAN BE COLORED WITH AT MOST "K" COLORS SO THAT NO

TWO ADJACENT VERTICES RECEIVE THE SAME COLOR,

I. ONE LAST STEP, :

we k

THE NEW NUMBER YOU ARE NOW THINKING OF IS 3.

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