Day13
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days/src/main/kotlin/Day13.kt
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55
days/src/main/kotlin/Day13.kt
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package be.vandewalleh.aoc.days
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import be.vandewalleh.aoc.utils.input.Day
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import be.vandewalleh.aoc.utils.input.Input
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import be.vandewalleh.aoc.utils.input.Lines
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import be.vandewalleh.aoc.utils.input.createDay
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import kotlin.math.abs
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data class Bus(val index: Int, val id: Long)
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@Day(13)
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class Day13(@Lines val input: Input<List<String>>) {
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fun part1(): Int {
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val id = input.value[0].toInt()
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val (busId, min) = input.value[1]
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.splitToSequence(",")
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.filterNot { it == "x" }
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.map { it.toInt() }
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.map { bus -> bus to id / bus }
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.map { (bus, div) -> bus to bus * (div + 1) }
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.minByOrNull { it.second }!!
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return busId * abs(min - id)
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}
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private tailrec fun gcd(a: Long, b: Long): Long = if (b == 0L) a else gcd(b, a % b)
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private fun lcm(a: Long, b: Long): Long = a / gcd(a, b) * b
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fun part2(): Long {
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val buses = input.value[1]
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.splitToSequence(",")
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.mapIndexedNotNull { index, bus ->
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if (bus == "x") null
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else Bus(index, bus.toLong())
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}
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.toList()
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var step = 1L
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var t = 0L
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for ((i, id) in buses) {
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while ((t + i) % id != 0L) t += step
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step = lcm(step, id)
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}
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return t
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}
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}
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fun main() = with(createDay<Day13>()) {
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println(part1())
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println(part2())
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}
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2
days/src/main/resources/day13.txt
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2
days/src/main/resources/day13.txt
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1000511
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29,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,37,x,x,x,x,x,409,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,17,13,19,x,x,x,23,x,x,x,x,x,x,x,353,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,x,41
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27
days/src/test/kotlin/Day13Test.kt
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days/src/test/kotlin/Day13Test.kt
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package be.vandewalleh.aoc.days
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import be.vandewalleh.aoc.utils.input.Input
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import org.assertj.core.api.Assertions.assertThat
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import org.junit.jupiter.params.ParameterizedTest
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import org.junit.jupiter.params.provider.CsvSource
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class Day13Test {
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@CsvSource(
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value = [
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" 7,13 | 77",
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" 17,x,13,19 | 3417",
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" 67,7,59,61 | 754018",
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" 67,x,7,59,61 | 779210",
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" 67,7,x,59,61 | 1261476",
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"1789,37,47,1889 | 1202161486",
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],
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delimiter = '|'
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)
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@ParameterizedTest
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fun examples(buses: String, answer: Long) {
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val input = Input(listOf("", buses))
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assertThat(Day13(input).part2()).isEqualTo(answer)
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}
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}
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