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🌉 - 2024 DAY 7 SOLUTIONS - 🌉

Day 7: Bridge Repair

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FAQ

52
52 comments
  • Uiua

    This turned out to be reasonably easy in Uiua, though this solution relies on macros which maybe slow it down.

    (edit: removing one macro sped it up quite a bit)

    (edit2: Letting Uiua build up an n-dimensional array turned out to be the solution, though sadly my mind only works in 3 dimensions. Now runs against the live data in around 0.3 seconds.)

    Try it here

    Data   ← ⊜(□⊜⋕⊸(¬∈": "))⊸≠@\n "190: 10 19\n3267: 81 40 27\n83: 17 5\n156: 15 6\n7290: 6 8 6 15\n161011: 16 10 13\n192: 17 8 14\n21037: 9 7 18 13\n292: 11 6 16 20"
    Calib! ← ≡◇⊢▽⊸≡◇(∈♭/[^0]:°⊂) # Calibration targets which can be constructed from their values.
    &p/+Calib!⊃(+|×)Data
    &p/+Calib!⊃(+|×|+×ⁿ:10+1⌊ₙ₁₀,)Data
    
  • Python

    It is a tree search

    def parse_input(path):
    
      with path.open("r") as fp:
        lines = fp.read().splitlines()
    
      roots = [int(line.split(':')[0]) for line in lines]
      node_lists = [[int(x)  for x in line.split(':')[1][1:].split(' ')] for line in lines]
    
      return roots, node_lists
    
    def construct_tree(root, nodes, include_concat):
    
      levels = [[] for _ in range(len(nodes)+1)]
      levels[0] = [(str(root), "")]
      # level nodes are tuples of the form (val, operation) where both are str
      # val can be numerical or empty string
      # operation can be *, +, || or empty string
    
      for indl, level in enumerate(levels[1:], start=1):
    
        node = nodes[indl-1]
    
        for elem in levels[indl-1]:
    
          if elem[0]=='':
            continue
    
          if elem[0][-len(str(node)):] == str(node) and include_concat:
            levels[indl].append((elem[0][:-len(str(node))], "||"))
          if (a:=int(elem[0]))%(b:=int(node))==0:
            levels[indl].append((str(int(a/b)), '*'))
          if (a:=int(elem[0])) - (b:=int(node))>0:
            levels[indl].append((str(a - b), "+"))
    
      return levels[-1]
    
    def solve_problem(file_name, include_concat):
    
      roots, node_lists = parse_input(Path(cwd, file_name))
      valid_roots = []
    
      for root, nodes in zip(roots, node_lists):
    
        top = construct_tree(root, nodes[::-1], include_concat)
    
        if any((x[0]=='1' and x[1]=='*') or (x[0]=='0' and x[1]=='+') or
               (x[0]=='' and x[1]=='||') for x in top):
    
          valid_roots.append(root)
    
      return sum(valid_roots)
    
    • I asked ChatGPT to explain your code and mentioned you said it was a binary search. idk why, but it output a matter of fact response that claims you were wrong. lmao, I still don't understand how your code works

      This code doesn’t perform a classic binary search. Instead, it uses each input node to generate new possible states or “branches,” forming a tree of transformations. At each level, it tries up to three operations on the current value (remove digits, divide, subtract). These expansions create multiple paths, and the code checks which paths end in a successful condition. While the author may have described it as a “binary search,” it’s more accurately a state-space search over a tree of possible outcomes, not a binary search over a sorted data structure.

      I understand it now! I took your solution and made it faster. it is now like 36 milliseconds faster for me. which is interesting because if you look at the code. I dont process the entire list of integers. I sometimes stop prematurely before the next level, clear it, and add the root. I don't know why but it just works for my input and the test input.

      code
      def main(input_data):
          input_data = input_data.replace('\r', '')
          parsed_data = {int(line[0]): [int(i) for i in line[1].split()[::-1]] for line in [l.split(': ') for l in input_data.splitlines()]}
          part1 = 0
          part2 = 0
          for item in parsed_data.items():
              root, num_array = item
              part_1_branches = [set() for _ in range(len(num_array)+1)]
              part_2_branches = [set() for _ in range(len(num_array)+1)]
              part_1_branches[0].add(root)
              part_2_branches[0].add(root)
              for level,i in enumerate(num_array):
                  if len(part_1_branches[level]) == 0 and len(part_2_branches[level]) == 0:
                      break
      
                  for branch in part_1_branches[level]:
                      if branch == i:
                          part_1_branches[level+1] = set() # clear next level to prevent adding root again
                          part1 += root
                          break
                      if branch % i == 0:
                          part_1_branches[level+1].add(branch//i)
                      if branch - i > 0:
                          part_1_branches[level+1].add(branch-i)
      
                  for branch in part_2_branches[level]:
                      if branch == i or str(branch) == str(i):
                          part_2_branches[level+1] = set() # clear next level to prevent adding root again
                          part2 += root
                          break
                      if branch % i == 0:
                          part_2_branches[level+1].add(branch//i)
                      if branch - i > 0:
                          part_2_branches[level+1].add(branch-i)
                      if str(i) == str(branch)[-len(str(i)):]:
                          part_2_branches[level+1].add(int(str(branch)[:-len(str(i))]))
          print("Part 1:", part1, "\nPart 2:", part2)
          return [part1, part2]
      
      if __name__ == "__main__":
          with open('input', 'r') as f:
              main(f.read())
      

      however what I notice is that the parse_input causes it to be the reason why it is slower by 20+ milliseconds. I find that even if I edited your solution like so to be slightly faster, it is still 10 milliseconds slower than mine:

      code
      def parse_input():
      
        with open('input',"r") as fp:
          lines = fp.read().splitlines()
      
        roots = [int(line.split(':')[0]) for line in lines]
        node_lists = [[int(x) for x in line.split(': ')[1].split(' ')] for line in lines]
      
        return roots, node_lists
      
      def construct_tree(root, nodes):
          levels = [[] for _ in range(len(nodes)+1)]
          levels[0] = [(root, "")]
          # level nodes are tuples of the form (val, operation) where both are str
          # val can be numerical or empty string
          # operation can be *, +, || or empty string
      
          for indl, level in enumerate(levels[1:], start=1):
      
              node = nodes[indl-1]
      
              for elem in levels[indl-1]:
                  if elem[0]=='':
                      continue
      
                  if (a:=elem[0])%(b:=node)==0:
                      levels[indl].append((a/b, '*'))
                  if (a:=elem[0]) - (b:=node)>0:
                      levels[indl].append((a - b, "+"))
      
          return levels[-1]
      
      
      def construct_tree_concat(root, nodes):
          levels = [[] for _ in range(len(nodes)+1)]
          levels[0] = [(str(root), "")]
          # level nodes are tuples of the form (val, operation) where both are str
          # val can be numerical or empty string
          # operation can be *, +, || or empty string
      
          for indl, level in enumerate(levels[1:], start=1):
      
              node = nodes[indl-1]
      
              for elem in levels[indl-1]:
                  if elem[0]=='':
                      continue
      
                  if elem[0][-len(str(node)):] == str(node):
                      levels[indl].append((elem[0][:-len(str(node))], "||"))
                  if (a:=int(elem[0]))%(b:=int(node))==0:
                      levels[indl].append((str(int(a/b)), '*'))
                  if (a:=int(elem[0])) - (b:=int(node))>0:
                      levels[indl].append((str(a - b), "+"))
      
          return levels[-1]
      
      def solve_problem():
      
        roots, node_lists = parse_input()
        valid_roots_part1 = []
        valid_roots_part2 = []
      
        for root, nodes in zip(roots, node_lists):
          
          top = construct_tree(root, nodes[::-1])
      
          if any((x[0]==1 and x[1]=='*') or (x[0]==0 and x[1]=='+') for x in top):
            valid_roots_part1.append(root)
            
          top = construct_tree_concat(root, nodes[::-1])
      
          if any((x[0]=='1' and x[1]=='*') or (x[0]=='0' and x[1]=='+') or (x[0]=='' and x[1]=='||') for x in top):
      
            valid_roots_part2.append(root)
      
        return sum(valid_roots_part1),sum(valid_roots_part2)
        
      if __name__ == "__main__":
          print(solve_problem())
      
      • Wow I got thrashed by chatgpt. Strictly speaking that is correct, it is more akin to Tree Search. But even then not strictly because in tree search you are searching through a list of objects that is known, you build a tree out of it and based on some conditions eliminate half of the remaining tree each time. Here I have some state space (as chatgpt claims!) and again based on applying certain conditions, I eliminate some portion of the search space successively (so I dont have to evaluate that part of the tree anymore). To me both are very similar in spirit as both methods avoid evaluating some function on all the possible inputs and successively chops off a fraction of the search space. To be more correct I will atleast replace it with tree search though, thanks. And thanks for taking a close look at my solution and improving it.

  • Haskell

    import Control.Arrow
    import Data.Char
    import Text.ParserCombinators.ReadP
    
    numP = read <$> munch1 isDigit
    parse = endBy ((,) <$> (numP <* string ": ") <*> sepBy numP (char ' ')) (char '\n')
    
    valid n [m] = m == n
    valid n (x : xs) = n > 0 && valid (n - x) xs || (n `mod` x) == 0 && valid (n `div` x) xs
    
    part1 = sum . fmap fst . filter (uncurry valid . second reverse)
    
    concatNum r = (+r) . (* 10 ^ digits r)
        where
            digits = succ . floor . logBase 10 . fromIntegral
    
    allPossible [n] = [n]
    allPossible (x:xs) = ((x+) <$> rest) ++ ((x*) <$> rest) ++ (concatNum x <$> rest)
        where
            rest = allPossible xs
    
    part2 = sum . fmap fst . filter (uncurry elem . second (allPossible . reverse))
    
    main = getContents >>= print . (part1 &&& part2) . fst . last . readP_to_S parse
    
  • C

    Big integers and overflow checking, what else is there to say 😅​

    Code
    #include "common.h"
    
    /* returns 1 on sucess, 0 on overflow */
    static int
    concat(uint64_t a, uint64_t b, uint64_t *out)
    {
    	uint64_t mul;
    
    	for (mul=1; mul<=b; mul*=10) ;
    
    	return 
    	    !__builtin_mul_overflow( mul, a, out) &&
    	    !__builtin_add_overflow(*out, b, out);
    }
    
    static int
    recur(uint64_t expect, uint64_t acc, uint64_t arr[], int n, int p2)
    {
    	uint64_t imm;
    
    	return
    	    n < 1 ? acc == expect :
    	    acc >= expect ? 0 :
    	    recur(expect, acc + arr[0], arr+1, n-1, p2) ||
    	    recur(expect, acc * arr[0], arr+1, n-1, p2) ||
    	    (p2 && concat(acc, arr[0], &imm)
    	        && recur(expect, imm, arr+1, n-1, p2));
    }
    
    int
    main(int argc, char **argv)
    {
    	char buf[128], *tok, *rest;
    	uint64_t p1=0, p2=0, arr[32], expect;
    	int n;
    
    	if (argc > 1)
    		DISCARD(freopen(argv[1], "r", stdin));
    	
    	while ((rest = fgets(buf, sizeof(buf), stdin))) {
    		assert(strchr(buf, '\n'));
    		expect = atoll(strsep(&rest, ":"));
    
    		for (n=0; (tok = strsep(&rest, " ")); n++) {
    			assert(n < (int)LEN(arr));
    			arr[n] = atoll(tok);
    		}
    
    		p1 += recur(expect, 0, arr, n, 0) * expect;
    		p2 += recur(expect, 0, arr, n, 1) * expect;
    	}
    
    	printf("07: %"PRIu64" %"PRIu64"\n", p1, p2);
    	return 0;
    }
    

    https://github.com/sjmulder/aoc/blob/master/2024/c/day07.c

  • Uiua

    Credits to @[email protected] for the approach of using reduce and also how to split the input by multiple characters.
    I can happily say that I learned quite a bit today, even though the first part made me frustrated enough that I went searching for other approaches ^^

    Part two just needed a simple modification. Changing how the input is parsed and passed to the adapted function took longer than changing the function itself actually.

    Run with example input here

    PartOne ← (
      &rs ∞ &fo "input-7.txt"
      ⊜□≠@\n.
      ≡◇(⊜□≠@:.)
      ≡⍜⊡⋕0
      ≡⍜(°□⊡1)(⊜⋕≠@ .)
      ⟜(⊡0⍉)
    
      # own attempt, produces a too low number
      # ≡(:∩°□°⊟
      #   ⍣(⍤.◡⍣(1⍤.(≤/×)⍤.(≥/+),,)0
      #     ⊙¤⋯⇡ⁿ:2-1⊸⧻
      #     ⊞(⍥(⟜⍜(⊙(↙2))(⨬+×⊙°⊟⊡0)
      #         ↘1
      #       )⧻.
      #       ⍤.=0⧻.
      #     )
      #     ∈♭◌
      #   )0)
    
      # reduce approach found on the programming.dev AoC community by [email protected]
      ≡(◇(∈/(◴♭[⊃(+|×)]))⊡0:°⊂)
      °□/+▽
    )
    
    PartTwo ← (
      &rs ∞ &fo "input-7.txt"
      ⊜(□⊜⋕¬∈": ".)≠@\n.
      ⟜≡◇⊢
      ≡◇(∈/(◴♭[≡⊃⊃(+|×|⋕$"__")]):°⊂)
      °□/+▽
    )
    
    &p "Day 7:"
    &pf "Part 1: "
    &p PartOne
    &pf "Part 2: "
    &p PartTwo
    
  • Haskell

    I'm not very proud, I copied my code for part two.

    import Control.Arrow hiding (first, second)
    
    import qualified Data.List as List
    import qualified Data.Char as Char
    
    parseLine l = (n, os)
            where
                    n = read . takeWhile (Char.isDigit) $ l
                    os = map read . drop 1 . words $ l
    
    parse :: String -> [(Int, [Int])]
    parse s = map parseLine . takeWhile (/= "") . lines $ s
    
    insertOperators target (r:rs) = any (target ==) (insertOperators' r rs)
    insertOperators' :: Int -> [Int] -> [Int]
    insertOperators' acc []     = [acc]
    insertOperators' acc (r:rs) = insertOperators' (acc+r) rs ++ insertOperators' (acc*r) rs
    
    insertOperators2 target (r:rs) = any (target ==) (insertOperators2' r rs)
    insertOperators2' :: Int -> [Int] -> [Int]
    insertOperators2' acc []     = [acc]
    insertOperators2' acc (r:rs) = insertOperators2' (acc+r) rs ++ insertOperators2' (acc*r) rs ++ insertOperators2' concatN rs
            where
                    concatN = read (show acc ++ show r)
    
    part1 ls = filter (uncurry insertOperators)
            >>> map fst
            >>> sum
            $ ls
    part2 ls = filter (uncurry insertOperators2)
            >>> map fst
            >>> sum
            $ ls
    
    main = getContents >>= print . (part1 &&& part2) . parse
    
  • Haskell

    A surprisingly gentle one for the weekend! Avoiding string operations for concatenate got the runtime down below one second on my machine.

    import Control.Arrow
    import Control.Monad
    import Data.List
    import Data.Maybe
    
    readInput :: String -> [(Int, [Int])]
    readInput = lines >>> map (break (== ':') >>> (read *** map read . words . tail))
    
    equatable :: [Int -> Int -> Int] -> (Int, [Int]) -> Bool
    equatable ops (x, y : ys) = elem x $ foldM apply y ys
      where
        apply a y = (\op -> a `op` y) <$> ops
    
    concatenate :: Int -> Int -> Int
    concatenate x y = x * mag y + y
      where
        mag z = fromJust $ find (> z) $ iterate (* 10) 10
    
    main = do
      input <- readInput <$> readFile "input07"
      mapM_
        (print . sum . map fst . (`filter` input) . equatable)
        [ [(+), (*)],
          [(+), (*), concatenate]
        ]
    
  • Python

    Takes ~5.3s on my machine to get both outputs. Not sure how to optimize it any further other than running the math in threads? Took me longer than it should have to realize a lot of unnecessary math could be cut if the running total becomes greater than the target while doing the math. Also very happy to see that none of the inputs caused the recursive function to hit Python's max stack depth.

    Code
    import argparse
    import os
    
    
    class Calibrations:
        def __init__(self, target, operators) -> None:
            self.operators = operators
            self.target = target
            self.target_found = False
    
        def do_math(self, numbers, operation) -> int:
            if operation == "+":
                return numbers[0] + numbers[1]
            elif operation == "*":
                return numbers[0] * numbers[1]
            elif operation == "||":
                return int(str(numbers[0]) + str(numbers[1]))
    
        def all_options(self, numbers, last) -> int:
            if len(numbers) < 1:
                return last
            for j in self.operators:
                # If we found our target already, abort
                # If the last value is greater than the target, abort
                if self.target_found or last > self.target:
                    return
                total = self.all_options(
                    numbers[1:], self.do_math((last, numbers[0]), j)
                )
                if total == self.target:
                    self.target_found = True
    
        def process_line(self, line) -> int:
            numbers = [int(x) for x in line.split(":")[1].strip().split()]
            self.all_options(numbers[1:], numbers[0])
            if self.target_found:
                return self.target
            return 0
    
    
    def main() -> None:
        path = os.path.dirname(os.path.abspath(__file__))
        parser = argparse.ArgumentParser(description="Bridge Repair")
        parser.add_argument("filename", help="Path to the input file")
        args = parser.parse_args()
        sum_of_valid = [0, 0]
        with open(f"{path}/{args.filename}", "r") as f:
            for line in f:
                line = line.strip()
                target = int(line.split(":")[0])
                for idx, ops in enumerate([["+", "*"], ["+", "*", "||"]]):
                    c = Calibrations(target, ops)
                    found = c.process_line(line)
                    sum_of_valid[idx] += found
                    if found:
                        break
        for i in range(0, 2):
            part = i + 1
            print(
                "The sum of valid calibrations for Part "
                + f"{part} is {sum(sum_of_valid[:part])}"
            )
    
    
    if __name__ == "__main__":
        main()
    

    https://github.com/stevenviola/advent-of-code-2024

  • Nim

    Bruteforce, my beloved.

    Wasted too much time on part 2 trying to make combinations iterator (it was very slow). In the end solved both parts with 3^n and toTernary.

    Runtime: 1.5s

    func digits(n: int): int =
      result = 1; var n = n
      while (n = n div 10; n) > 0: inc result
    
    func concat(a: var int, b: int) =
      a = a * (10 ^ b.digits) + b
    
    func toTernary(n: int, len: int): seq[int] =
      result = newSeq[int](len)
      if n == 0: return
      var n = n
      for i in 0..<len:
        result[i] = n mod 3
        n = n div 3
    
    proc solve(input: string): AOCSolution[int, int] =
      for line in input.splitLines():
        let parts = line.split({':',' '})
        let res = parts[0].parseInt
        var values: seq[int]
        for i in 2..parts.high:
          values.add parts[i].parseInt
    
        let opsCount = values.len - 1
        var solvable = (p1: false, p2: false)
        for s in 0 ..< 3^opsCount:
          var sum = values[0]
          let ternary = s.toTernary(opsCount)
          for i, c in ternary:
            case c
            of 0: sum *= values[i+1]
            of 1: sum += values[i+1]
            of 2: sum.concat values[i+1]
            else: raiseAssert"!!"
          if sum == res:
            if ternary.count(2) == 0:
              solvable.p1 = true
            solvable.p2 = true
            if solvable == (true, true): break
        if solvable.p1: result.part1 += res
        if solvable.p2: result.part2 += res
    

    Codeberg repo

  • Java

    Today was pretty easy one but for some reason I spent like 20 minutes overthinking part 2 when all it needed was one new else if. I initially through the concatenation operator would take precedence even tho it clearly says "All operators are still evaluated left-to-right" in the instructions..

    I'm sure there are optimizations to do but using parallelStreams it only takes around 300ms total on my machine so there's no point really

    The code
    import java.io.IOException;
    import java.nio.charset.StandardCharsets;
    import java.nio.file.Files;
    import java.nio.file.Path;
    import java.util.Arrays;
    import java.util.List;
    
    public class Day7 {
        public static void main(final String[] _args) throws IOException {
            final List<Equation> equations = Files.readAllLines(Path.of("2024\\07\\input.txt"), StandardCharsets.UTF_8).stream()
                .map(line -> line.split(":\\s"))
                .map(line -> new Equation(
                        Long.parseLong(line[0]),
                        Arrays.stream(line[1].split("\\s"))
                            .map(Integer::parseInt)
                            .toArray(Integer[]::new)
                    )
                ).toList();
    
            final char[] part1Operators = {'+', '*'};
            System.out.println("Part 1: " + equations.parallelStream()
                .mapToLong(equation -> getResultIfPossible(equation, part1Operators))
                .sum()
            );
    
            final char[] part2Operators = {'+', '*', '|'};
            System.out.println("Part 2: " + equations.parallelStream()
                .mapToLong(equation -> getResultIfPossible(equation, part2Operators))
                .sum()
            );
        }
    
        private static Long getResultIfPossible(final Equation equation, final char[] operators) {
            final var permutations = Math.pow(operators.length, equation.values.length - 1);
            for (int i = 0; i < permutations; i++) {
                long result = equation.values[0];
                int count = i;
    
                for (int j = 0; j < equation.values.length - 1; j++) {
                    // If the result is already larger than the expected one, we can short circuit here to save some time
                    if (result > equation.result) {
                        break;
                    }
    
                    final char operator = operators[count % operators.length];
                    count /= operators.length;
    
                    if (operator == '+') { result += equation.values[j + 1]; }
                    else if (operator == '*') { result *= equation.values[j + 1]; }
                    else if (operator == '|') { result = Long.parseLong(String.valueOf(result) + String.valueOf(equation.values[j + 1])); }
                    else {
                        throw new RuntimeException("Unsupported operator " + operator);
                    }
                }
    
                if (result == equation.result) {
                    return result;
                }
            }
    
            return 0L;
        }
    
        private static record Equation(long result, Integer[] values) {}
    }
    
  • Dart

    Suspiciously easy, so let's see how tomorrow goes.... (edit: forgot to put the language! Dart for now, thinking about Uiua later)

    import 'package:more/more.dart';
    
    var ops = [(a, b) => a + b, (a, b) => a * b, (a, b) => int.parse('$a$b')];
    
    bool canMake(int target, List<int> ns, int sofar, dynamic ops) {
      if (ns.isEmpty) return target == sofar;
      for (var op in ops) {
        if (canMake(target, ns.sublist(1), op(sofar, ns.first), ops)) return true;
      }
      return false;
    }
    
    solve(List<String> lines, dynamic ops) {
      var sum = 0;
      for (var line in lines.map((e) => e.split(' '))) {
        var target = int.parse(line.first.skipLast(1));
        var ns = line.skip(1).map(int.parse).toList();
        sum += (canMake(target, ns.sublist(1), ns.first, ops)) ? target : 0;
      }
      return sum;
    }
    
    part1(List<String> lines) => solve(lines, ops.sublist(0, 2));
    part2(List<String> lines) => solve(lines, ops);
    
  • Factor

    spoiler
    TUPLE: equation value numbers ;
    C: <equation> equation
    
    : get-input ( -- equations )
      "vocab:aoc-2024/07/input.txt" utf8 file-lines [
        split-words unclip but-last string>number
        swap [ string>number ] map <equation>
      ] map ;
    
    : possible-quotations ( funcs numbers -- quots )
      dup length 1 -
      swapd all-selections
      [ unclip swap ] dip
      [ zip concat ] with map
      swap '[ _ prefix >quotation ] map ;
    
    : possibly-true? ( funcs equation -- ? )
      [ numbers>> possible-quotations ] [ value>> ] bi
      '[ call( -- n ) _ = ] any? ;
    
    : solve ( funcs -- n )
      get-input
      [ possibly-true? ] with filter
      [ value>> ] map-sum ;
    
    : part1 ( -- n )
      { + * } solve ;
    
    : _|| ( m n -- mn )
      [ number>string ] bi@ append string>number ;
    
    : part2 ( -- n )
      { + * _|| } solve ;
    
    • Slow and dumb gets it done! I may revisit this when I give up on future days.

  • Lisp

    Could probably go much faster if I kept track of calculations to not repeat, but 4 seconds for part 2 on my old laptop is good enough for me. Also, not really a big change from part 1 to part 2.

    Part 1 and 2
    
    (defstruct calibration result inputs)
    
    (defun p1-process-line (line)
      (let ((parts (str:words line)))
        (make-calibration :result (parse-integer (car parts) :junk-allowed t)
                          :inputs (mapcar #'parse-integer (cdr parts)))))
    
    (defun apply-opperators (c opps)
      (let ((accum (car (calibration-inputs c))))
      (loop for o in opps
            for v in (cdr (calibration-inputs c))
            until (> accum (calibration-result c))
            if (eql o 'ADD)
              do (setf accum (+ accum v))
            else if (eql o 'MUL)
              do (setf accum (* accum v))
            else
              do (setf accum (+ v (* accum (expt 10 (1+ (floor (log v 10)))))))
            finally (return accum)
            )))
    
    (defun generate-operators (item-count)
      (labels ((g-rec (c results)
                 (if (< c 1)
                     results
                     (g-rec (1- c) (loop for r in results
                                         collect (cons 'ADD r)
                                         collect (cons 'MUL r))))))
        (g-rec (1- item-count) '((ADD) (MUL)))))
    
    (defun generate-ops-hash (c gen-ops)
      (let ((h (make-hash-table)))
        (dotimes (x c)
          (setf (gethash (+ 2 x) h) (funcall gen-ops (+ 1 x))))
        h))
    
    (defun validate-calibration (c ops-h)
      (let ((r (calibration-result c))
            (ops (gethash (length (calibration-inputs c)) ops-h)))
        (loop for o in ops
              for v = (apply-opperators c o)
              when (= v r)
                return t)))
    
    (defun run-p1 (file) 
      (let ((calibrations  (read-file file #'p1-process-line))
            (ops (generate-ops-hash 13 #'generate-operators)))
        (loop for c in calibrations
              when (validate-calibration c ops)
                sum (calibration-result c))))
    
    (defun generate-operators-p2 (item-count)
      (labels ((g-rec (c results)
                 (if (< c 1)
                     results
                     (g-rec (1- c) (loop for r in results
                                         collect (cons 'ADD r)
                                         collect (cons 'MUL r)
                                         collect (cons 'CAT r))))))
        (g-rec (1- item-count) '((ADD) (MUL) (CAT)))))
    
    (defun run-p2 (file) 
      (let ((calibrations  (read-file file #'p1-process-line))
            (ops (generate-ops-hash 13 #'generate-operators-p2)))
        (loop for c in calibrations
              when (validate-calibration c ops)
                sum (calibration-result c))))
    
    
  • C#

    public class Day07 : Solver
    {
      private ImmutableList<(long, ImmutableList<long>)> equations;
    
      public void Presolve(string input) {
        equations = input.Trim().Split("\n")
          .Select(line => line.Split(": "))
          .Select(split => (long.Parse(split[0]), split[1].Split(" ").Select(long.Parse).ToImmutableList()))
          .ToImmutableList();
      }
    
      private bool TrySolveWithConcat(long lhs, long head, ImmutableList<long> tail) {
        var lhs_string = lhs.ToString();
        var head_string = head.ToString();
        return lhs_string.Length > head_string.Length &&
          lhs_string.EndsWith(head_string) &&
          SolveEquation(long.Parse(lhs_string.Substring(0, lhs_string.Length - head_string.Length)), tail, true);
      }
    
      private bool SolveEquation(long lhs, ImmutableList<long> rhs, bool with_concat = false) {
        if (rhs.Count == 1) return lhs == rhs[0];
        long head = rhs[rhs.Count - 1];
        var tail = rhs.GetRange(0, rhs.Count - 1);
        return (SolveEquation(lhs - head, tail, with_concat))
          || (lhs % head == 0) && SolveEquation(lhs / head, tail, with_concat)
          || with_concat && TrySolveWithConcat(lhs, head, tail);
      }
    
      public string SolveFirst() => equations
        .Where(eq => SolveEquation(eq.Item1, eq.Item2))
        .Select(eq => eq.Item1)
        .Sum().ToString();
      public string SolveSecond() => equations
        .Where(eq => SolveEquation(eq.Item1, eq.Item2, true))
        .Select(eq => eq.Item1)
        .Sum().ToString();
    }
    
  • python

    45s on my machine for first shot, trying to break my will to brute force 😅. I'll try improving on it in a bit after I smoke another bowl and grab another drink.

    solution
    import itertools
    import re
    import aoc
    
    def ltr(e):
        r = int(e[0])
        for i in range(1, len(e), 2):
            o = e[i]
            n = int(e[i + 1])
            if o == '+':
                r += n
            elif o == '*':
                r *= n
            elif o == '||':
                r = int(f"{r}{n}")
        return r
    
    def pl(l, os):
        d = [int(x) for x in re.findall(r'\d+', l)]
        t, ns = d[0], d[1:]
        ops = list(itertools.product(os, repeat=len(ns) - 1))
        for o in ops:
            e = str(ns[0])
            for i, op in enumerate(o):
                e += f" {op} {ns[i + 1]}"
            r = ltr(e.split())
            if r == t:
                return r
        return 0
    
    def one():
        lines = aoc.get_lines(7)
        acc = 0
        for l in lines:
            acc += pl(l, ['+', '*'])
        print(acc)
    
    def two():
        lines = aoc.get_lines(7)
        acc = 0
        for l in lines:
            acc += pl(l, ['+', '*', '||'])
        print(acc)
    
    one()
    two()
    
  • TypeScript

    I wrote my own iterator because I'm a big dummy. Also brute forced (~8s). Might be worth adding a cache to skip all the questions that have been computed / done.

    Solution
    import { AdventOfCodeSolutionFunction } from "./solutions";
    
    function MakeCombination<T>(choices: Array<T>, state: Array<number>): Array<T> {
        return state.map((v) => choices[v]);
    }
    
    function MakeStateArray(length: number) {
        const newArray = [];
        while (length-- > 0)
            newArray.push(0);
    
        return newArray;
    }
    
    function IncrementState(state: Array<number>, max: number): [state: Array<number>, overflow: boolean] {
        state[0]++;
        for (let index = 0; index < state.length; index++) {
            if (state[index] == max) {
                state[index] = 0;
    
                if (index + 1 == state.length)
                    return [state, true];
    
                state[index + 1]++;
            }
        }
    
        return [state, false];
    }
    
    function GenerateCombinations<T>(choices: Array<T>, length: number): Array<Array<T>> {
        const states = MakeStateArray(length);
        const combinations: Array<Array<T>> = [];
    
        let done = false
        while (!done) {
            combinations.push(MakeCombination(choices, states));
            done = IncrementState(states, choices.length)[1];
        }
    
    
        return combinations;
    }
    
    enum Op {
        MUL = "*",
        ADD = "+",
        CON = "|",
    }
    
    function ApplyOp(a: number, b: number, op: Op): number {
        switch (op) {
            case Op.MUL:
                return a * b;
            case Op.ADD:
                return a + b;
            case Op.CON:
                return Number(`${a}${b}`);
        }
    }
    
    function ApplyOperatorsToNumbers(numbers: Array<number>, ops: Array<Op>): number {
        let prev = ApplyOp(numbers[0], numbers[1], ops[0]);
    
        for (let index = 2; index < numbers.length; index++) {
            prev = ApplyOp(prev, numbers[index], ops[index - 1])
        }
    
        return prev;
    }
    
    export const solution_7: AdventOfCodeSolutionFunction = (input) => {
        const numbers = // [{target: 123, numbers: [1, 2, 3, ...]}, ...]
            input.split("\n")
                .map(
                    (v) => v.trim()
                        .split(":")
                        .map(v => v.trim().split(" ").map(v => Number(v)))
                ).map(
                    (v) => {
                        return { target: v[0][0], numbers: v[1] }
                    }
                );
    
        let part_1 = 0;
        let part_2 = 0;
    
        for (let index = 0; index < numbers.length; index++) {
            const target = numbers[index].target;
            const numbs = numbers[index].numbers;
    
            // GenerateCombinations(["+", "*"], 2) => [["+", "+"], ["+", "*"], ["*", "+"], ["*", "*"]]
            const combinations = GenerateCombinations([Op.ADD, Op.MUL], numbs.length - 1); 
    
            // part 1 calculations
            for (let combinationIndex = 0; combinationIndex < combinations.length; combinationIndex++) {
                const combination = combinations[combinationIndex];
                const result = ApplyOperatorsToNumbers(numbs, combination);
                if (result == target) {
                    part_1 += result;
                    break;
                }
            }
    
            const combinations2 = GenerateCombinations([Op.ADD, Op.MUL, Op.CON], numbs.length - 1);
    
            // part 2 calculations
            for (let combinationIndex = 0; combinationIndex < combinations2.length; combinationIndex++) {
                const combination = combinations2[combinationIndex];
                const result = ApplyOperatorsToNumbers(numbs, combination);
                if (result == target) {
                    part_2 += result;
                    break;
                }
            }
    
        }
    
        return {
            part_1,
            part_2,
        }
    }
    
  • Made a couple of attempts to munge the input data into some kind of binary search tree, lost some time to that, then threw my hands into the air and did a more naïve sort-of breadth-first search instead. Which turned out to be better for part 2 anyway.
    Also, maths. Runs in just over a hundred milliseconds when using AsParallel, around half a second without.

    C#
    List<(long, int[])> data = new List<(long, int[])>();
    
    public void Input(IEnumerable<string> lines)
    {
      foreach (var line in lines)
      {
        var parts = line.Split(':', StringSplitOptions.TrimEntries);
    
        data.Add((long.Parse(parts.First()), parts.Last().Split(' ').Select(int.Parse).ToArray()));
      }
    }
    
    public void Part1()
    {
      var correct = data.Where(kv => CalcPart(kv.Item1, kv.Item2)).Select(kv => kv.Item1).Sum();
    
      Console.WriteLine($"Correct: {correct}");
    }
    public void Part2()
    {
      var correct = data.AsParallel().Where(kv => CalcPart2(kv.Item1, kv.Item2)).Select(kv => kv.Item1).Sum();
    
      Console.WriteLine($"Correct: {correct}");
    }
    
    public bool CalcPart(long res, Span<int> num, long carried = 0)
    {
      var next = num[0];
      if (num.Length == 1)
        return res == carried + next || res == carried * next;
      return CalcPart(res, num.Slice(1), carried + next) || CalcPart(res, num.Slice(1), carried * next);
    }
    
    public bool CalcPart2(long res, Span<int> num, long carried = 0)
    {
      var next = num[0];
      // Get the 10 logarithm for the next number, expand the carried value by 10^<next 10log + 1>, add the two together
      // For 123 || 45
      // 45 ⇒ 10log(45) + 1 == 2
      // 123 * 10^2 + 45 == 12345
      long combined = carried * (long)Math.Pow(10, Math.Floor(Math.Log10(next) + 1)) + next;
      if (num.Length == 1)
        return res == carried + next || res == carried * next || res == combined;
      return CalcPart2(res, num.Slice(1), carried + next) || CalcPart2(res, num.Slice(1), carried * next) || CalcPart2(res, num.Slice(1), combined);
    }
    
  • I'm way behind, but I'm trying to learn F#.

    I'm using the library Combinatorics in dotnet, which I've used in the past, generate in this case every duplicating possibility of the operations. I the only optimization that I did was to use a function to concatenate numbers without converting to strings, but that didn't actually help much.

    I have parser helpers that use ReadOnlySpans over strings to prevent unnecessary allocations. However, here I'm adding to a C# mutable list and then converting to an FSharp (linked) list, which this language is more familiar with. Not optimal, but runtime was pretty good.

    I'm not terribly good with F#, but I think I did ok for this challenge.

    F#

    // in another file:
    let concatenateLong (a:Int64) (b:Int64) : Int64 =
        let rec countDigits (n:int64) =
            if n = 0 then 0
            else 1 + countDigits (n / (int64 10))   
    
        let bDigits = if b = 0 then 1 else countDigits b
        let multiplier = pown 10 bDigits |> int64
        a * multiplier + b
    
    // challenge file
    type Operation = {Total:Int64; Inputs:Int64 list }
    
    let parse (s:ReadOnlySpan<char>) : Operation =
        let sep = s.IndexOf(':')
        let total = Int64.Parse(s.Slice(0, sep))
        let inputs = System.Collections.Generic.List<Int64>()
        let right:ReadOnlySpan<char> = s.Slice(sep + 1).Trim()
    
       // because the Split function on a span returns a SpanSplitEnumerator, which is a ref-struct and can only live on the stack, 
       // I can't use the F# list syntax here
        for range in right.Split(" ") do
            inputs.Add(Int64.Parse(sliceRange right range))
            
        {Total = total; Inputs = List.ofSeq(inputs) }
    
    let part1Ops = [(+); (*)]
    
    let execute ops input =
        input
        |> PSeq.choose (fun op ->
            let total = op.Total
            let inputs = op.Inputs
            let variations = Variations(ops, inputs.Length - 1, GenerateOption.WithRepetition)
            variations
            |> Seq.tryFind (fun v ->
                let calcTotal = (inputs[0], inputs[1..], List.ofSeq(v)) |||> List.fold2 (fun acc n f -> f acc n) 
                calcTotal = total
                )
            |> Option.map(fun _ -> total)
            )
        |> PSeq.fold (fun acc n -> acc + n) 0L
    
    let part1 input =
        (read input parse)
        |> execute part1Ops
    
    let part2Ops = [(+); (*); concatenateLong]
    
    let part2 input = (read input parse) |> execute part2Ops
    

    The Gen0 garbage collection looks absurd, but Gen0 is generally considered "free".

    Method Mean Error StdDev Gen0 Gen1 Allocated
    Part1 19.20 ms 0.372 ms 0.545 ms 17843.7500 156.2500 106.55 MB
    Part2 17.94 ms 0.355 ms 0.878 ms 17843.7500 156.2500 106.55 MB

    V2 - concatenate numbers did little for the runtime, but did help with Gen1 garbage, but not the overall allocation.

    Method Mean Error StdDev Gen0 Gen1 Allocated
    Part1 17.34 ms 0.342 ms 0.336 ms 17843.7500 125.0000 106.55 MB
    Part2 17.24 ms 0.323 ms 0.270 ms 17843.7500 93.7500 106.55 MB
  • Julia

    Took quite some time to debug but in the end I think it's a nice solution using base 2 and 3 numbers counting up to check all operator combinations.

    Code
    function readInput(inputFile::String)::Vector{Vector{Int}}
    	f = open(inputFile,"r")
    	lines::Vector{String} = readlines(f)
    	close(f)
    	equations::Vector{Vector{Int}} = []
    	function getValues(line::String)
    		return map(sp->parse(Int,sp),(sp=split(line," ");sp[1]=sp[1][1:end-1];sp))
    	end
    	map(l->push!(equations,getValues(l)),lines)
    	return equations
    end
    
    function checkEq(eq::Vector{Int},withConCat::Bool)::Bool
    	function calcEq(eq::Vector{Int},operators::Vector{Int},withConCat::Bool)::Int
    		res::Int = eq[2]
    		for (i,op) in enumerate(operators)
    			if op == 0 #+
    				res += eq[i+2]
    			elseif op ==1 #*
    				res *= eq[i+2]
    			else #op==2 ||
    				res = parse(Int,string(res)*string(eq[i+2]))
    			end
    		end
    		return res
    	end
    	opInt::Int = 0
    	operators = Vector{Int}(undef,length(eq)-2)
    	while opInt < (withConCat ? 3^(length(eq)-2) : 2^(length(eq)-2))
    		withConCat==true ? operators=digits(opInt,base=3,pad=length(eq)-2) : operators=digits(opInt,base=2,pad=length(eq)-2)
    		#calcEq(eq,operators,withConCat)==eq[1] ? (return true) : opInt -= 1
    		calcEq(eq,operators,withConCat)==eq[1] ? (return true) : opInt += 1
    	end
    	return false
    end
    
    function calcTotCalRes(equations::Vector{Vector{Int}},withConCat::Bool)::Int
    	totCalRes::Int = 0
    	for e in equations
    		checkEq(e,withConCat) ? totCalRes+=e[1] : nothing
    	end
    	return totCalRes
    end
    
    @info "Part 1"
    println("result: $(calcTotCalRes(readInput("day07Input"),false))")
    @info "Part 2"
    println("result: $(calcTotCalRes(readInput("day07Input"),true))")
    
  • Kotlin

    I finally got around to doing day 7. I try the brute force method (takes several seconds), but I'm particularly proud of my sequence generator for operation permutations.

    The Collection#rotate method is in the file Utils.kt, which can be found in my repo.

    Solution
    import kotlin.collections.any
    import kotlin.math.pow
    
    fun main() {
        fun part1(input: List<String>): Long {
            val operations = setOf(CalibrationOperation.Plus, CalibrationOperation.Multiply)
            return generalizedSolution(input, operations)
        }
    
        fun part2(input: List<String>): Long {
            val operations = setOf(CalibrationOperation.Plus, CalibrationOperation.Multiply, CalibrationOperation.Concat)
            return generalizedSolution(input, operations)
        }
    
        val testInput = readInput("Day07_test")
        check(part1(testInput) == 3749L)
        check(part2(testInput) == 11387L)
    
        val input = readInput("Day07")
        part1(input).println()
        part2(input).println()
    }
    
    fun parseInputDay7(input: List<String>) = input.map {
        val calibrationResultAndInput = it.split(':')
        calibrationResultAndInput[0].toLong() to calibrationResultAndInput[1].split(' ').filter { it != "" }.map { it.toLong() }
    }
    
    fun generalizedSolution(input: List<String>, operations: Set<CalibrationOperation>): Long {
        val parsedInput = parseInputDay7(input)
        val operationsPermutations = CalibrationOperation.operationPermutationSequence(*operations.toTypedArray()).take(calculatePermutationsNeeded(parsedInput, operations)).toList()
        return sumOfPossibleCalibrationEquations(parsedInput, operationsPermutations)
    }
    
    fun calculatePermutationsNeeded(parsedInput: List<Pair<Long, List<Long>>>, operations: Set<CalibrationOperation>): Int {
        val highestNumberOfOperations = parsedInput.maxOf { it.second.size - 1 }
        return (1..highestNumberOfOperations).sumOf { operations.size.toDouble().pow(it).toInt() }
    }
    
    fun sumOfPossibleCalibrationEquations(parsedInput: List<Pair<Long, List<Long>>>, operationPermutationCollection: Collection<OperationPermutation>): Long {
        val permutationsGrouped = operationPermutationCollection.groupBy { it.size }
        return parsedInput.sumOf { (equationResult, equationInput) ->
            if (permutationsGrouped[equationInput.size - 1]!!.any { operations ->
                    equationResult == equationInput.drop(1)
                        .foldIndexed(equationInput[0]) { index, acc, lng -> operations[index](acc, lng) }
                }) equationResult else 0
        }
    }
    
    typealias OperationPermutation = List<CalibrationOperation>
    
    sealed class CalibrationOperation(val operation: (Long, Long) -> Long) {
        operator fun invoke(a: Long, b: Long) = operation(a, b)
        object Plus : CalibrationOperation({ a: Long, b: Long -> a + b })
        object Multiply : CalibrationOperation({ a: Long, b: Long -> a * b })
        object Concat : CalibrationOperation({ a: Long, b: Long -> "$a$b".toLong() })
    
        companion object {
            fun operationPermutationSequence(vararg operations: CalibrationOperation) = sequence<OperationPermutation> {
                val cache = mutableListOf<OperationPermutation>()
                val calculateCacheRange = { currentLength: Int ->
                    val sectionSize = operations.size.toDouble().pow(currentLength - 1).toInt()
                    val sectionStart = (1 until currentLength - 1).sumOf { operations.size.toDouble().pow(it).toInt() }
                    sectionStart..(sectionStart + sectionSize - 1)
                }
    
                // Populate the cache with initial values for permutation length 1.
                operations.forEach { operation -> yield(listOf(operation).also { cache.add(it) }) }
    
                var currentLength = 2
                var offset = 0
                var cacheRange = calculateCacheRange(currentLength)
                var rotatingOperations = operations.toList()
                yieldAll(
                    generateSequence {
                        if (cacheRange.count() == offset) {
                            rotatingOperations = rotatingOperations.rotated(1)
                            if (rotatingOperations.first() == operations.first()) {
                                currentLength++
                            }
    
                            offset = 0
                            cacheRange = calculateCacheRange(currentLength)
                        }
    
                        val cacheSlice = cache.slice(cacheRange)
    
                        return@generateSequence (cacheSlice[offset] + rotatingOperations.first()).also {
                            cache += it
                            offset++
                        } 
                    }
                )
            }
        }
    }
    
    

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