CHOOSE ONE!

Due Monday Sep 17th at 4:01PM



Make me a game that does the following things.

Have the human pick a random number.
while (hi > low)
   mid = (hi + low) // 2
   Tell the human you guess min
   if he says "yes', declare victory and exit
   if he says "low"
	hi = mid-1
   else
        low = mid + 1

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The Collatz conjecture is simple.  It says that for every starting number
the sequence below always eventually gets to a 1.
    f(n) = n/2 if n is even
    f(n+1) = 3n+1 if n is odd

For example.
  17 -> 52 -> 26 -> 13 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1


Your mission is to find the starting number that is less than 1,000,000 with
the longest sequence.