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+--- Part Two ---
+
+It's no good - in this configuration, the amplifiers can't generate a large enough output signal to
+produce the thrust you'll need.  The Elves quickly talk you through rewiring the amplifiers into a
+feedback loop:
+
+      O-------O  O-------O  O-------O  O-------O  O-------O
+0 -+->| Amp A |->| Amp B |->| Amp C |->| Amp D |->| Amp E |-.
+   |  O-------O  O-------O  O-------O  O-------O  O-------O |
+   |                                                        |
+   '--------------------------------------------------------+
+                                                            |
+                                                            v
+                                                     (to thrusters)
+
+Most of the amplifiers are connected as they were before; amplifier A's output is connected to
+amplifier B's input, and so on. However, the output from amplifier E is now connected into amplifier
+A's input. This creates the feedback loop: the signal will be sent through the amplifiers
+many times.
+
+In feedback loop mode, the amplifiers need totally different phase settings: integers from 5 to 9,
+again each used exactly once. These settings will cause the Amplifier Controller Software to
+repeatedly take input and produce output many times before halting. Provide each amplifier its phase
+setting at its first input instruction; all further input/output instructions are for signals.
+
+Don't restart the Amplifier Controller Software on any amplifier during this process. Each one
+should continue receiving and sending signals until it halts.
+
+All signals sent or received in this process will be between pairs of amplifiers except the very
+first signal and the very last signal. To start the process, a 0 signal is sent to amplifier A's
+input exactly once.
+
+Eventually, the software on the amplifiers will halt after they have processed the final loop. When
+this happens, the last output signal from amplifier E is sent to the thrusters. Your job is to
+find the largest output signal that can be sent to the thrusters using the new phase settings and
+feedback loop arrangement.
+
+Here are some example programs:
+
+
+ - Max thruster signal 139629729 (from phase setting sequence 9,8,7,6,5):
+3,26,1001,26,-4,26,3,27,1002,27,2,27,1,27,26,
+27,4,27,1001,28,-1,28,1005,28,6,99,0,0,5
+
+ - Max thruster signal 18216 (from phase setting sequence 9,7,8,5,6):
+3,52,1001,52,-5,52,3,53,1,52,56,54,1007,54,5,55,1005,55,26,1001,54,
+-5,54,1105,1,12,1,53,54,53,1008,54,0,55,1001,55,1,55,2,53,55,53,4,
+53,1001,56,-1,56,1005,56,6,99,0,0,0,0,10
+
+
+Try every combination of the new phase settings on the amplifier feedback loop.  What is the highest
+signal that can be sent to the thrusters?
+
+