day 16 init
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2021/day16/EXAMPLE.txt
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2021/day16/EXAMPLE.txt
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D2FE28
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2021/day16/EXAMPLE2.txt
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2021/day16/EXAMPLE2.txt
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38006F45291200
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2021/day16/EXAMPLE3.txt
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2021/day16/EXAMPLE3.txt
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EE00D40C823060
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2021/day16/EXAMPLE4.txt
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2021/day16/EXAMPLE4.txt
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8A004A801A8002F478
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2021/day16/EXAMPLE5.txt
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2021/day16/EXAMPLE5.txt
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620080001611562C8802118E34
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2021/day16/EXAMPLE6.txt
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2021/day16/EXAMPLE6.txt
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C0015000016115A2E0802F182340
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2021/day16/EXAMPLE7.txt
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2021/day16/EXAMPLE7.txt
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A0016C880162017C3686B18A3D4780
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2021/day16/INPUT.txt
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2021/day16/INPUT.txt
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59
2021/day16/Makefile
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2021/day16/Makefile
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# AOC daily Makefile - GNU make only.
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#
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# Copyright (C) 2021 Bruno Raoult ("br")
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# Licensed under the GNU General Public License v3.0 or later.
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# Some rights reserved. See COPYING.
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#
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# You should have received a copy of the GNU General Public License along with this
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# program. If not, see <https://www.gnu.org/licenses/gpl-3.0-standalone.html>.
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#
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# SPDX-License-Identifier: GPL-3.0-or-later <https://spdx.org/licenses/GPL-3.0-or-later.html>
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#
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INPUT := INPUT.txt
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SHELL := /bin/bash
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CC := gcc
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LIB := aoc_$(shell uname -m)
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INCDIR := ../include
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LIBDIR := ../lib
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LDFLAGS := -L$(LIBDIR)
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LDLIB := -l$(LIB)
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export LD_LIBRARY_PATH = $(LIBDIR)
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CFLAGS += -std=gnu99
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CFLAGS += -O2
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CFLAGS += -g
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#CFLAGS += -pg
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CFLAGS += -Wall
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CFLAGS += -Wextra
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CFLAGS += -march=native
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CFLAGS += -Wmissing-declarations
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CFLAGS += -Wno-unused-result
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CFLAGS += -DDEBUG_DEBUG # activate general debug (debug.c)
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CFLAGS += -DDEBUG_POOL # memory pools management
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TIME := \time -f "\ttime: %E real, %U user, %S sys\n\tcontext-switch:\t%c+%w, page-faults: %F+%R\n"
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export PATH := .:$(PATH)
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.PHONY: clean all compile ex1 ex2
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all: ex1 ex2
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compile: aoc-c
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ex1: aoc-c
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@$(TIME) aoc-c -p 1 < $(INPUT)
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ex2: aoc-c
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@$(TIME) aoc-c -p 2 < $(INPUT)
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clean:
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@rm -f aoc-c core* gmon.out
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.c:
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@echo compiling $<
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@$(CC) $(CFLAGS) $(LDFLAGS) -I $(INCDIR) $< $(LDLIB) -o $@
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93
2021/day16/README.txt
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2021/day16/README.txt
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--- Day 16: Packet Decoder ---
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As you leave the cave and reach open waters, you receive a transmission from the Elves back on the ship.
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The transmission was sent using the Buoyancy Interchange Transmission System (BITS), a method of packing numeric expressions into a binary sequence. Your submarine's computer has saved the transmission in hexadecimal (your puzzle input).
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The first step of decoding the message is to convert the hexadecimal representation into binary. Each character of hexadecimal corresponds to four bits of binary data:
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0 = 0000
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1 = 0001
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2 = 0010
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3 = 0011
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4 = 0100
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5 = 0101
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6 = 0110
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7 = 0111
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8 = 1000
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9 = 1001
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A = 1010
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B = 1011
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C = 1100
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D = 1101
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E = 1110
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F = 1111
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The BITS transmission contains a single packet at its outermost layer which itself contains many other packets. The hexadecimal representation of this packet might encode a few extra 0 bits at the end; these are not part of the transmission and should be ignored.
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Every packet begins with a standard header: the first three bits encode the packet version, and the next three bits encode the packet type ID. These two values are numbers; all numbers encoded in any packet are represented as binary with the most significant bit first. For example, a version encoded as the binary sequence 100 represents the number 4.
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Packets with type ID 4 represent a literal value. Literal value packets encode a single binary number. To do this, the binary number is padded with leading zeroes until its length is a multiple of four bits, and then it is broken into groups of four bits. Each group is prefixed by a 1 bit except the last group, which is prefixed by a 0 bit. These groups of five bits immediately follow the packet header. For example, the hexadecimal string D2FE28 becomes:
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110100101111111000101000
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VVVTTTAAAAABBBBBCCCCC
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Below each bit is a label indicating its purpose:
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The three bits labeled V (110) are the packet version, 6.
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The three bits labeled T (100) are the packet type ID, 4, which means the packet is a literal value.
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The five bits labeled A (10111) start with a 1 (not the last group, keep reading) and contain the first four bits of the number, 0111.
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The five bits labeled B (11110) start with a 1 (not the last group, keep reading) and contain four more bits of the number, 1110.
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The five bits labeled C (00101) start with a 0 (last group, end of packet) and contain the last four bits of the number, 0101.
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The three unlabeled 0 bits at the end are extra due to the hexadecimal representation and should be ignored.
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So, this packet represents a literal value with binary representation 011111100101, which is 2021 in decimal.
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Every other type of packet (any packet with a type ID other than 4) represent an operator that performs some calculation on one or more sub-packets contained within. Right now, the specific operations aren't important; focus on parsing the hierarchy of sub-packets.
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An operator packet contains one or more packets. To indicate which subsequent binary data represents its sub-packets, an operator packet can use one of two modes indicated by the bit immediately after the packet header; this is called the length type ID:
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If the length type ID is 0, then the next 15 bits are a number that represents the total length in bits of the sub-packets contained by this packet.
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If the length type ID is 1, then the next 11 bits are a number that represents the number of sub-packets immediately contained by this packet.
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Finally, after the length type ID bit and the 15-bit or 11-bit field, the sub-packets appear.
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For example, here is an operator packet (hexadecimal string 38006F45291200) with length type ID 0 that contains two sub-packets:
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00111000000000000110111101000101001010010001001000000000
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VVVTTTILLLLLLLLLLLLLLLAAAAAAAAAAABBBBBBBBBBBBBBBB
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The three bits labeled V (001) are the packet version, 1.
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The three bits labeled T (110) are the packet type ID, 6, which means the packet is an operator.
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The bit labeled I (0) is the length type ID, which indicates that the length is a 15-bit number representing the number of bits in the sub-packets.
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The 15 bits labeled L (000000000011011) contain the length of the sub-packets in bits, 27.
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The 11 bits labeled A contain the first sub-packet, a literal value representing the number 10.
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The 16 bits labeled B contain the second sub-packet, a literal value representing the number 20.
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After reading 11 and 16 bits of sub-packet data, the total length indicated in L (27) is reached, and so parsing of this packet stops.
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As another example, here is an operator packet (hexadecimal string EE00D40C823060) with length type ID 1 that contains three sub-packets:
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11101110000000001101010000001100100000100011000001100000
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VVVTTTILLLLLLLLLLLAAAAAAAAAAABBBBBBBBBBBCCCCCCCCCCC
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The three bits labeled V (111) are the packet version, 7.
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The three bits labeled T (011) are the packet type ID, 3, which means the packet is an operator.
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The bit labeled I (1) is the length type ID, which indicates that the length is a 11-bit number representing the number of sub-packets.
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The 11 bits labeled L (00000000011) contain the number of sub-packets, 3.
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The 11 bits labeled A contain the first sub-packet, a literal value representing the number 1.
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The 11 bits labeled B contain the second sub-packet, a literal value representing the number 2.
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The 11 bits labeled C contain the third sub-packet, a literal value representing the number 3.
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After reading 3 complete sub-packets, the number of sub-packets indicated in L (3) is reached, and so parsing of this packet stops.
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For now, parse the hierarchy of the packets throughout the transmission and add up all of the version numbers.
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Here are a few more examples of hexadecimal-encoded transmissions:
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8A004A801A8002F478 represents an operator packet (version 4) which contains an operator packet (version 1) which contains an operator packet (version 5) which contains a literal value (version 6); this packet has a version sum of 16.
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620080001611562C8802118E34 represents an operator packet (version 3) which contains two sub-packets; each sub-packet is an operator packet that contains two literal values. This packet has a version sum of 12.
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C0015000016115A2E0802F182340 has the same structure as the previous example, but the outermost packet uses a different length type ID. This packet has a version sum of 23.
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A0016C880162017C3686B18A3D4780 is an operator packet that contains an operator packet that contains an operator packet that contains five literal values; it has a version sum of 31.
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Decode the structure of your hexadecimal-encoded BITS transmission; what do you get if you add up the version numbers in all packets?
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