Day 22: Monkey Market

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FAQ

  • GiantTree@feddit.org
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    11 hours ago

    Kotlin

    I experimented a lot to improve the runtime and now I am happy with my solution. The JVM doesn’t optimize code that quickly :)

    I have implemented a few optimizations in regards to transformations so that they use arrays directly (The file with the implementations is here)

    Code
    class Day22 {
    
        private fun nextSecretNumber(start: Long): Long {
            // Modulo 2^24 is the same as "and" with 2^24 - 1
            val pruneMask = 16777216L - 1L
            // * 64 is the same as shifting left by 6
            val mul64 = ((start shl 6) xor start) and pruneMask
            // / 32 is the same as shifting right by 5
            val div32 = ((mul64 shr 5) xor mul64) and pruneMask
            // * 2048 is the same as shifting left by 11
            val mul2048 = ((div32 shl 11) xor div32) and pruneMask
            return mul2048
        }
    
        fun part1(inputFile: String): String {
            val secretNumbers = readResourceLines(inputFile)
                .map { it.toLong() }
                .toLongArray()
    
            repeat(NUMBERS_PER_DAY) {
                for (i in secretNumbers.indices) {
                    secretNumbers[i] = nextSecretNumber(secretNumbers[i])
                }
            }
    
            return secretNumbers.sum().toString()
        }
    
        fun part2(inputFile: String): String {
            // There is a different sample input for part 2
            val input = if (inputFile.endsWith("sample")) {
                readResourceLines(inputFile + "2")
            } else {
                readResourceLines(inputFile)
            }
            val buyers = input
                .map {
                    LongArray(NUMBERS_PER_DAY + 1).apply {
                        this[0] = it.toLong()
                        for (i in 1..NUMBERS_PER_DAY) {
                            this[i] = nextSecretNumber(this[i - 1])
                        }
                    }
                }
    
            // Calculate the prices and price differences for each buyer.
            // The pairs are the price (the ones digit) and the key/unique value of each sequence of differences
            val differences = buyers
                .map { secretNumbers ->
                    // Get the ones digit
                    val prices = secretNumbers.mapToIntArray {
                        it.toInt() % 10
                    }
    
                    // Get the differences between each number
                    val differenceKeys = prices
                        .zipWithNext { a, b -> (b - a) }
                        // Transform the differences to a singular unique value (integer)
                        .mapWindowed(4) { sequence, from, _ ->
                            // Bring each byte from -9 to 9 to 0 to 18, multiply by 19^i and sum
                            // This generates a unique value for each sequence of 4 differences
                            (sequence[from + 0] + 9) +
                                    (sequence[from + 1] + 9) * 19 +
                                    (sequence[from + 2] + 9) * 361 +
                                    (sequence[from + 3] + 9) * 6859
                        }
    
                    // Drop the first 4 prices, as they are not relevant (initial secret number price and 3 next prices)
                    prices.dropFromArray(4) to differenceKeys
                }
    
            // Cache to hold the value/sum of each sequence of 4 differences
            val sequenceCache = IntArray(NUMBER_OF_SEQUENCES)
            val seenSequence = BooleanArray(NUMBER_OF_SEQUENCES)
    
            // Go through each sequence of differences
            // and get their *first* prices of each sequence.
            // Sum them in the cache.
            for ((prices, priceDifferences) in differences) {
                // Reset the "seen" array
                Arrays.fill(seenSequence, false)
                for (index in priceDifferences.indices) {
                    val key = priceDifferences[index]
                    if (!seenSequence[key]) {
                        sequenceCache[key] += prices[index]
                        seenSequence[key] = true
                    }
                }
            }
    
            return sequenceCache.max().toString()
        }
    
        companion object {
            private const val NUMBERS_PER_DAY = 2000
    
            // 19^4, the differences range from -9 to 9 and the sequences are 4 numbers long
            private const val NUMBER_OF_SEQUENCES = 19 * 19 * 19 * 19
        }
    }