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Implement 2023 day 24 part 2
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@@ -9,7 +9,9 @@ edition = "2021"
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aho-corasick = "1.1.2"
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anyhow = "1.0.75"
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clap = { version = "4.4.8", features = ["derive"] }
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linfa-linalg = "0.1.0"
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linked-hash-map = "0.5.6"
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ndarray = "0.15.6"
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nom = "7.1.3"
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num-integer = "0.1.45"
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rand = "0.8.5"
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@@ -1,3 +1,4 @@
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use linfa_linalg::qr::QRInto;
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use nom::bytes::complete::tag;
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use nom::character::complete::space1;
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use nom::combinator::map;
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@@ -95,8 +96,81 @@ pub fn part1(input: &[u8]) -> anyhow::Result<String> {
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part1_parametrized(input, 200000000000000.0, 400000000000000.0)
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}
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pub fn part2(_input: &[u8]) -> anyhow::Result<String> {
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anyhow::bail!("Not implemented")
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pub fn part2(input: &[u8]) -> anyhow::Result<String> {
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let hail = parse_input(input, parse_hail)?;
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let p0 = hail[0].position.map(|v| v as f64);
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let p1 = hail[1].position.map(|v| v as f64);
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let p2 = hail[2].position.map(|v| v as f64);
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let v0 = hail[0].speed.map(|v| v as f64);
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let v1 = hail[1].speed.map(|v| v as f64);
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let v2 = hail[2].speed.map(|v| v as f64);
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let b = ndarray::array![
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[(p0[1] * v0[0] - p1[1] * v1[0]) - (p0[0] * v0[1] - p1[0] * v1[1])],
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[(p0[1] * v0[0] - p2[1] * v2[0]) - (p0[0] * v0[1] - p2[0] * v2[1])],
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[(p0[2] * v0[0] - p1[2] * v1[0]) - (p0[0] * v0[2] - p1[0] * v1[2])],
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[(p0[2] * v0[0] - p2[2] * v2[0]) - (p0[0] * v0[2] - p2[0] * v2[2])],
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[(p0[2] * v0[1] - p1[2] * v1[1]) - (p0[1] * v0[2] - p1[1] * v1[2])],
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[(p0[2] * v0[1] - p2[2] * v2[1]) - (p0[1] * v0[2] - p2[1] * v2[2])],
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];
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let a = ndarray::array![
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[
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v1[1] - v0[1],
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v0[0] - v1[0],
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0.0,
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p0[1] - p1[1],
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p1[0] - p0[0],
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0.0
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],
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[
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v2[1] - v0[1],
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v0[0] - v2[0],
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0.0,
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p0[1] - p2[1],
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p2[0] - p0[0],
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0.0
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],
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[
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v1[2] - v0[2],
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0.0,
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v0[0] - v1[0],
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p0[2] - p1[2],
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0.0,
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p1[0] - p0[0]
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],
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[
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v2[2] - v0[2],
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0.0,
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v0[0] - v2[0],
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p0[2] - p2[2],
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0.0,
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p2[0] - p0[0]
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],
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[
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0.0,
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v1[2] - v0[2],
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v0[1] - v1[1],
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0.0,
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p0[2] - p1[2],
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p1[1] - p0[1]
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],
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[
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0.0,
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v2[2] - v0[2],
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v0[1] - v2[1],
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0.0,
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p0[2] - p2[2],
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p2[1] - p0[1]
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],
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];
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let rock = a.qr_into()?.solve_into(b)?;
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Ok((rock[[0, 0]] + rock[[1, 0]] + rock[[2, 0]])
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.round()
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.to_string())
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}
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#[cfg(test)]
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@@ -109,4 +183,9 @@ mod tests {
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fn sample_part1() {
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assert_eq!("2", part1_parametrized(SAMPLE, 7.0, 27.0).unwrap());
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}
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#[test]
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fn sample_part2() {
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assert_eq!("47", part2(SAMPLE).unwrap());
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}
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}
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