Day 11.
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// Linear Diophantine equations
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// Linear Diophantine equations
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/* The simplest linear Diophantine equation takes the form
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/* The simplest linear Diophantine equation takes the form
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a*x + b*x = c
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a*x + b*y = c
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where a, b and c are given integers.
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where a, b and c are given integers.
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The solutions are described by the following theorem:
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The solutions are described by the following theorem:
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This Diophantine equation has a solution (where x and y are integers),
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This Diophantine equation has a solution (where x and y are integers),
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111
src/aoc2025/Day11.kt
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111
src/aoc2025/Day11.kt
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package aoc2025
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import println
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import readInput
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/*
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--- Day 11: Reactor ---
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https://adventofcode.com/2025/day/11
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*/
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fun main() {
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val inlineTestInput = """
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aaa: you hhh
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you: bbb ccc
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bbb: ddd eee
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ccc: ddd eee fff
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ddd: ggg
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eee: out
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fff: out
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ggg: out
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hhh: ccc fff iii
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iii: out
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"""
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val inlineTestInput2 = """
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svr: aaa bbb
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aaa: fft
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fft: ccc
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bbb: tty
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tty: ccc
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ccc: ddd eee
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ddd: hub
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hub: fff
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eee: dac
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dac: fff
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fff: ggg hhh
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ggg: out
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hhh: out
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"""
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data class Node(val name: String, val children: Set<Node>)
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fun rec(children: HashMap<String, MutableSet<String>>, p: String, visited: MutableSet<String>): Int {
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if (p == "out") return 1
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visited.add(p)
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val res = children[p]!!.sumOf { rec(children, it, visited) }
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visited.remove(p)
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return res
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}
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fun parseInput(input: List<String>): HashMap<String, MutableSet<String>> {
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val children = HashMap<String, MutableSet<String>>()
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for (i in input) {
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val (n, chs) = i.split(": ")
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val ch = chs.split(" ")
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children.getOrPut(n) { HashSet() }.addAll(ch)
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}
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return children
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}
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fun part1(input: List<String>): Int {
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val children = parseInput(input)
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return rec(children, "you", HashSet())
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}
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fun rec2(
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children: HashMap<String, MutableSet<String>>,
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p: String,
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stop: String,
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visited: MutableSet<String> = HashSet(),
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memo: HashMap<String, Long> = HashMap()
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): Long {
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if (p == stop) return 1L
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val memoVal = memo[p]
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if (memoVal != null) return memoVal
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visited.add(p)
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val res = children[p]?.sumOf { rec2(children, it, stop, visited, memo) } ?: 0L
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visited.remove(p)
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memo[p] = res
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return res
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}
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fun part2(input: List<String>): Long {
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val children = parseInput(input)
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val srvToDac = rec2(children, "svr", "dac")
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val dacToFft = rec2(children, "dac", "fft")
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val fftToOut = rec2(children, "fft", "out")
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val srvToFft = rec2(children, "svr", "fft")
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val fftToDac = rec2(children, "fft", "dac")
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val dacToOut = rec2(children, "dac", "out")
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return srvToDac * dacToFft * fftToOut + srvToFft * fftToDac * dacToOut
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}
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// test if implementation meets criteria from the description, like:
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val testInput = inlineTestInput.trim().reader().readLines()
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val testInput2 = inlineTestInput2.trim().reader().readLines()
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//val testInput = readInput("aoc2025/Day11_test")
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val testInputPart1Result = part1(testInput)
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println("Part 1 Test: $testInputPart1Result")
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val testInputPart2Result = part2(testInput2)
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println("Part 2 Test: $testInputPart2Result")
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check(testInputPart1Result == 5)
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check(testInputPart2Result == 2L)
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val input = readInput("aoc2025/Day11")
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part1(input).println()
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part2(input).println()
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}
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