aoc/year2015/day11.rs
1//! # Corporate Policy
2//!
3//! Like the [previous day], we rely on the special structure of the input to solve
4//! more efficiently than the general case.
5//!
6//! The key observation is that if there are no straights or pairs in the first 4 digits then the
7//! next lowest valid sequence will end in a string of the form `aabcc`,
8//! compressing 2 pairs and a straight into 5 digits.
9//!
10//! * If the current string ends with `xxyzz` then increment the third digit and wrap around
11//! to `aabcc`.
12//! * The 5 digit sequence cannot start with any letter from `g` to `o` inclusive or it would
13//! contain an invalid character somewhere in the sequence.
14//!
15//! [previous day]: crate::year2015::day10
16use std::str::from_utf8;
17
18type Password = [u8; 8];
19type Input = [Password; 2];
20
21pub fn parse(input: &str) -> Input {
22 let password = clean(input.trim().as_bytes().try_into().unwrap());
23
24 // No pairs in the first 4 characters.
25 assert!(!password[..4].array_windows().any(|&[a, b]| a == b));
26 // No straights in the first 4 characters.
27 assert!(!password[..4].array_windows().any(|&[a, b, c]| a + 1 == b && b + 1 == c));
28 // No potential carry in the third character.
29 assert_ne!(password[2], b'z');
30
31 let first = next_password(password);
32 let second = next_password(first);
33 [first, second]
34}
35
36pub fn part1(input: &Input) -> &str {
37 from_utf8(&input[0]).unwrap()
38}
39
40pub fn part2(input: &Input) -> &str {
41 from_utf8(&input[1]).unwrap()
42}
43
44/// Sanitize the input to make sure it has no invalid characters. We increment the first invalid
45/// character found, for example `abcixyz` becomes `abcjaaa`.
46fn clean(mut password: Password) -> Password {
47 if let Some(index) = password.iter().position(|&d| matches!(d, b'i' | b'o' | b'l')) {
48 password[index] += 1;
49 password[index + 1..].fill(b'a');
50 }
51 password
52}
53
54/// Find the next valid 5 digit sequence of form `aabcc`.
55fn next_password(mut password: Password) -> Password {
56 // If the sequence would contain any illegal character, then skip to the next possible
57 // valid sequence starting with `p`.
58 if (b'g'..b'o').contains(&password[3]) {
59 return fill(password, b'p');
60 }
61
62 // If there's room then check if a sequence starting with the current character is
63 // higher than the current password.
64 if password[3] <= b'x' {
65 let candidate = fill(password, password[3]);
66 if candidate > password {
67 return candidate;
68 }
69 }
70
71 // Otherwise, we need to increment the first digit of the sequence.
72 if password[3] == b'x' {
73 // If it starts with `x` then increment the third digit and wrap around.
74 password[2] += if matches!(password[2], b'h' | b'n' | b'k') { 2 } else { 1 };
75 fill(password, b'a')
76 } else if password[3] == b'f' {
77 // If it would enter the invalid range from `g` to `o` then take the next valid start `p`.
78 fill(password, b'p')
79 } else {
80 // Otherwise, increment the first digit.
81 fill(password, password[3] + 1)
82 }
83}
84
85/// Creates a sequence of form `aabcc` from an arbitrary starting character.
86fn fill(mut password: Password, start: u8) -> Password {
87 password[3] = start;
88 password[4] = start;
89 password[5] = start + 1;
90 password[6] = start + 2;
91 password[7] = start + 2;
92 password
93}