Part 1 | Part 2 |
---|---|
3176 |
14710 |
This year, Santa brought little Bobby Tables a set of wires and bitwise logic gates! Unfortunately, little Bobby is a little under the recommended age range, and he needs help assembling the circuit.
Each wire has an identifier (some lowercase letters) and can carry a 16-bit signal (a number from 0
to 65535
). A signal is provided to each wire by a gate, another wire, or some specific value. Each wire can only get a signal from one source, but can provide its signal to multiple destinations. A gate provides no signal until all of its inputs have a signal.
The included instructions booklet describes how to connect the parts together: x AND y -> z
means to connect wires x
and y
to an AND gate, and then connect its output to wire z
.
For example:
123 -> x
means that the signal123
is provided to wirex
.x AND y -> z
means that the bitwise AND of wirex
and wirey
is provided to wirez
.p LSHIFT 2 -> q
means that the value from wirep
is left-shifted by2
and then provided to wireq
.NOT e -> f
means that the bitwise complement of the value from wiree
is provided to wiref
.
Other possible gates include OR
(bitwise OR) and RSHIFT
(right-shift). If, for some reason, you'd like to emulate the circuit instead, almost all programming languages (for example, C, JavaScript, or Python) provide operators for these gates.
For example, here is a simple circuit:
123 -> x
456 -> y
x AND y -> d
x OR y -> e
x LSHIFT 2 -> f
y RSHIFT 2 -> g
NOT x -> h
NOT y -> i
After it is run, these are the signals on the wires:
d: 72
e: 507
f: 492
g: 114
h: 65412
i: 65079
x: 123
y: 456
In little Bobby's kit's instructions booklet (provided as your puzzle input), what signal is ultimately provided to wire a
?
Now, take the signal you got on wire a
, override wire b
to that signal, and reset the other wires (including wire a
). What new signal is ultimately provided to wire a
?