From 37cd83d3ae911c6ab0b34a9d6ad74fa4a1364265 Mon Sep 17 00:00:00 2001
From: Sven Weidauer <sven@5sw.de>
Date: Sat, 14 Dec 2024 14:10:04 +0100
Subject: [PATCH] Day 13 part 1

---
 2024/src/main/kotlin/day13.kt            |   34 +
 2024/src/main/resources/day13-sample.txt |   15 +
 2024/src/main/resources/day13.txt        | 1279 ++++++++++++++++++++++
 3 files changed, 1328 insertions(+)
 create mode 100644 2024/src/main/kotlin/day13.kt
 create mode 100644 2024/src/main/resources/day13-sample.txt
 create mode 100644 2024/src/main/resources/day13.txt

diff --git a/2024/src/main/kotlin/day13.kt b/2024/src/main/kotlin/day13.kt
new file mode 100644
index 0000000..156bd7d
--- /dev/null
+++ b/2024/src/main/kotlin/day13.kt
@@ -0,0 +1,34 @@
+val regex = "Button A: X\\+(\\d+), Y\\+(\\d+)\nButton B: X\\+(\\d+), Y\\+(\\d+)\nPrize: X=(\\d+), Y=(\\d+)".toRegex()
+
+data class Machine(
+    val buttonA: Grid.Coordinate,
+    val buttonB: Grid.Coordinate,
+    val price: Grid.Coordinate
+) {
+
+    fun solveA(b: Int) = (price.x - b * buttonB.x) / buttonA.x
+    fun solveB() = (price.y * buttonA.x - price.x * buttonA.y) / (buttonA.x * buttonB.y - buttonA.y * buttonB.x)
+
+    fun solve(): Pair<Int, Int>? {
+        val b = solveB()
+        val a = solveA(b)
+
+        return Pair(a, b).takeIf { (a * buttonA.x + b * buttonB.x) == price.x && (a * buttonA.y + b * buttonB.y) == price.y }
+    }
+}
+
+fun main() {
+    val part1 = regex.findAll(readInputString("day13.txt"))
+        .map {
+            Machine(
+                buttonA = Grid.Coordinate(it.groupValues[1].toInt(), it.groupValues[2].toInt()),
+                buttonB = Grid.Coordinate(it.groupValues[3].toInt(), it.groupValues[4].toInt()),
+                price = Grid.Coordinate(it.groupValues[5].toInt(), it.groupValues[6].toInt()),
+            )
+        }
+        .mapNotNull { it.solve() }
+        .sumOf { (a, b) -> 3 * a + b }
+
+    println("Part 1: $part1")
+
+}
\ No newline at end of file
diff --git a/2024/src/main/resources/day13-sample.txt b/2024/src/main/resources/day13-sample.txt
new file mode 100644
index 0000000..444a287
--- /dev/null
+++ b/2024/src/main/resources/day13-sample.txt
@@ -0,0 +1,15 @@
+Button A: X+94, Y+34
+Button B: X+22, Y+67
+Prize: X=8400, Y=5400
+
+Button A: X+26, Y+66
+Button B: X+67, Y+21
+Prize: X=12748, Y=12176
+
+Button A: X+17, Y+86
+Button B: X+84, Y+37
+Prize: X=7870, Y=6450
+
+Button A: X+69, Y+23
+Button B: X+27, Y+71
+Prize: X=18641, Y=10279
\ No newline at end of file
diff --git a/2024/src/main/resources/day13.txt b/2024/src/main/resources/day13.txt
new file mode 100644
index 0000000..a960250
--- /dev/null
+++ b/2024/src/main/resources/day13.txt
@@ -0,0 +1,1279 @@
+Button A: X+26, Y+57
+Button B: X+51, Y+13
+Prize: X=15496, Y=17815
+
+Button A: X+20, Y+81
+Button B: X+66, Y+14
+Prize: X=13062, Y=10478
+
+Button A: X+73, Y+15
+Button B: X+29, Y+42
+Prize: X=7707, Y=4539
+
+Button A: X+27, Y+49
+Button B: X+57, Y+29
+Prize: X=19292, Y=19334
+
+Button A: X+72, Y+24
+Button B: X+25, Y+73
+Prize: X=17782, Y=9862
+
+Button A: X+15, Y+64
+Button B: X+92, Y+93
+Prize: X=3982, Y=4709
+
+Button A: X+82, Y+22
+Button B: X+46, Y+99
+Prize: X=6862, Y=5654
+
+Button A: X+73, Y+17
+Button B: X+47, Y+50
+Prize: X=3183, Y=1991
+
+Button A: X+35, Y+12
+Button B: X+47, Y+67
+Prize: X=17523, Y=7451
+
+Button A: X+65, Y+19
+Button B: X+12, Y+43
+Prize: X=15587, Y=17340
+
+Button A: X+15, Y+33
+Button B: X+63, Y+20
+Prize: X=18581, Y=7263
+
+Button A: X+57, Y+93
+Button B: X+82, Y+28
+Prize: X=4578, Y=7152
+
+Button A: X+96, Y+64
+Button B: X+17, Y+69
+Prize: X=3737, Y=6701
+
+Button A: X+82, Y+24
+Button B: X+46, Y+99
+Prize: X=7390, Y=5841
+
+Button A: X+65, Y+25
+Button B: X+19, Y+58
+Prize: X=12867, Y=11274
+
+Button A: X+83, Y+46
+Button B: X+46, Y+88
+Prize: X=6328, Y=7820
+
+Button A: X+22, Y+38
+Button B: X+51, Y+17
+Prize: X=15619, Y=1409
+
+Button A: X+33, Y+92
+Button B: X+17, Y+14
+Prize: X=4069, Y=9574
+
+Button A: X+11, Y+36
+Button B: X+54, Y+37
+Prize: X=13225, Y=1602
+
+Button A: X+79, Y+32
+Button B: X+18, Y+59
+Prize: X=8050, Y=15135
+
+Button A: X+42, Y+68
+Button B: X+68, Y+31
+Prize: X=3126, Y=2451
+
+Button A: X+71, Y+18
+Button B: X+13, Y+59
+Prize: X=5318, Y=7029
+
+Button A: X+28, Y+84
+Button B: X+89, Y+23
+Prize: X=3256, Y=3912
+
+Button A: X+30, Y+68
+Button B: X+65, Y+27
+Prize: X=16480, Y=16024
+
+Button A: X+35, Y+16
+Button B: X+43, Y+63
+Prize: X=2645, Y=1949
+
+Button A: X+61, Y+43
+Button B: X+15, Y+45
+Prize: X=6334, Y=5842
+
+Button A: X+75, Y+21
+Button B: X+12, Y+59
+Prize: X=5084, Y=18594
+
+Button A: X+13, Y+46
+Button B: X+64, Y+35
+Prize: X=10735, Y=12326
+
+Button A: X+18, Y+50
+Button B: X+63, Y+20
+Prize: X=818, Y=4410
+
+Button A: X+70, Y+18
+Button B: X+19, Y+71
+Prize: X=2111, Y=5647
+
+Button A: X+36, Y+62
+Button B: X+49, Y+16
+Prize: X=19024, Y=6036
+
+Button A: X+16, Y+34
+Button B: X+56, Y+24
+Prize: X=5160, Y=8740
+
+Button A: X+47, Y+90
+Button B: X+87, Y+45
+Prize: X=2445, Y=2250
+
+Button A: X+41, Y+53
+Button B: X+83, Y+20
+Prize: X=1949, Y=599
+
+Button A: X+84, Y+43
+Button B: X+11, Y+32
+Prize: X=7833, Y=5671
+
+Button A: X+79, Y+71
+Button B: X+15, Y+57
+Prize: X=1240, Y=2420
+
+Button A: X+48, Y+14
+Button B: X+20, Y+74
+Prize: X=18404, Y=4066
+
+Button A: X+16, Y+39
+Button B: X+45, Y+19
+Prize: X=7372, Y=3455
+
+Button A: X+75, Y+31
+Button B: X+14, Y+75
+Prize: X=1426, Y=4673
+
+Button A: X+41, Y+19
+Button B: X+20, Y+45
+Prize: X=1495, Y=8405
+
+Button A: X+33, Y+62
+Button B: X+27, Y+12
+Prize: X=10865, Y=15726
+
+Button A: X+90, Y+80
+Button B: X+27, Y+85
+Prize: X=2115, Y=3405
+
+Button A: X+56, Y+12
+Button B: X+67, Y+73
+Prize: X=5374, Y=5022
+
+Button A: X+23, Y+71
+Button B: X+65, Y+15
+Prize: X=9301, Y=1597
+
+Button A: X+13, Y+34
+Button B: X+78, Y+55
+Prize: X=11261, Y=4722
+
+Button A: X+25, Y+13
+Button B: X+35, Y+84
+Prize: X=2565, Y=4558
+
+Button A: X+70, Y+31
+Button B: X+20, Y+62
+Prize: X=11690, Y=6749
+
+Button A: X+71, Y+26
+Button B: X+33, Y+65
+Prize: X=5473, Y=3380
+
+Button A: X+29, Y+74
+Button B: X+57, Y+23
+Prize: X=4321, Y=7475
+
+Button A: X+32, Y+69
+Button B: X+58, Y+32
+Prize: X=4332, Y=5060
+
+Button A: X+99, Y+12
+Button B: X+37, Y+43
+Prize: X=4776, Y=810
+
+Button A: X+14, Y+41
+Button B: X+67, Y+19
+Prize: X=4835, Y=3704
+
+Button A: X+41, Y+99
+Button B: X+59, Y+40
+Prize: X=2266, Y=4242
+
+Button A: X+96, Y+41
+Button B: X+27, Y+93
+Prize: X=8178, Y=7892
+
+Button A: X+21, Y+59
+Button B: X+66, Y+19
+Prize: X=6632, Y=13403
+
+Button A: X+57, Y+27
+Button B: X+11, Y+31
+Prize: X=2568, Y=8668
+
+Button A: X+78, Y+15
+Button B: X+11, Y+76
+Prize: X=1828, Y=13755
+
+Button A: X+81, Y+31
+Button B: X+12, Y+46
+Prize: X=15002, Y=3378
+
+Button A: X+79, Y+13
+Button B: X+18, Y+76
+Prize: X=5203, Y=11361
+
+Button A: X+39, Y+60
+Button B: X+42, Y+12
+Prize: X=9614, Y=1508
+
+Button A: X+89, Y+13
+Button B: X+84, Y+87
+Prize: X=10089, Y=4986
+
+Button A: X+33, Y+76
+Button B: X+95, Y+51
+Prize: X=10102, Y=6822
+
+Button A: X+25, Y+65
+Button B: X+60, Y+18
+Prize: X=10890, Y=8512
+
+Button A: X+29, Y+11
+Button B: X+12, Y+19
+Prize: X=7479, Y=9810
+
+Button A: X+97, Y+15
+Button B: X+76, Y+62
+Prize: X=9745, Y=5577
+
+Button A: X+19, Y+52
+Button B: X+72, Y+31
+Prize: X=7974, Y=612
+
+Button A: X+96, Y+60
+Button B: X+28, Y+85
+Prize: X=6896, Y=10520
+
+Button A: X+57, Y+29
+Button B: X+14, Y+29
+Prize: X=14115, Y=15866
+
+Button A: X+85, Y+13
+Button B: X+48, Y+84
+Prize: X=4201, Y=2329
+
+Button A: X+11, Y+48
+Button B: X+27, Y+12
+Prize: X=18447, Y=10292
+
+Button A: X+40, Y+15
+Button B: X+24, Y+62
+Prize: X=9368, Y=15709
+
+Button A: X+32, Y+11
+Button B: X+46, Y+65
+Prize: X=7678, Y=17148
+
+Button A: X+73, Y+72
+Button B: X+78, Y+12
+Prize: X=4009, Y=2136
+
+Button A: X+27, Y+53
+Button B: X+58, Y+35
+Prize: X=15696, Y=13514
+
+Button A: X+79, Y+34
+Button B: X+31, Y+79
+Prize: X=2648, Y=3569
+
+Button A: X+12, Y+60
+Button B: X+74, Y+32
+Prize: X=14124, Y=8520
+
+Button A: X+28, Y+66
+Button B: X+92, Y+32
+Prize: X=9444, Y=7842
+
+Button A: X+57, Y+27
+Button B: X+29, Y+66
+Prize: X=9346, Y=6842
+
+Button A: X+13, Y+76
+Button B: X+51, Y+53
+Prize: X=1091, Y=2946
+
+Button A: X+62, Y+23
+Button B: X+27, Y+59
+Prize: X=15707, Y=18535
+
+Button A: X+65, Y+12
+Button B: X+87, Y+84
+Prize: X=9096, Y=5280
+
+Button A: X+60, Y+73
+Button B: X+81, Y+12
+Prize: X=13554, Y=8355
+
+Button A: X+13, Y+90
+Button B: X+94, Y+21
+Prize: X=8504, Y=6603
+
+Button A: X+98, Y+39
+Button B: X+53, Y+73
+Prize: X=6044, Y=7077
+
+Button A: X+71, Y+11
+Button B: X+24, Y+84
+Prize: X=15342, Y=14922
+
+Button A: X+32, Y+14
+Button B: X+38, Y+55
+Prize: X=6166, Y=3033
+
+Button A: X+45, Y+17
+Button B: X+24, Y+50
+Prize: X=14639, Y=15983
+
+Button A: X+28, Y+85
+Button B: X+70, Y+43
+Prize: X=3192, Y=7656
+
+Button A: X+19, Y+87
+Button B: X+42, Y+35
+Prize: X=2071, Y=6494
+
+Button A: X+95, Y+71
+Button B: X+32, Y+82
+Prize: X=4128, Y=5060
+
+Button A: X+38, Y+16
+Button B: X+33, Y+61
+Prize: X=8304, Y=16358
+
+Button A: X+82, Y+41
+Button B: X+15, Y+55
+Prize: X=2817, Y=4876
+
+Button A: X+13, Y+52
+Button B: X+84, Y+46
+Prize: X=18258, Y=17082
+
+Button A: X+77, Y+56
+Button B: X+27, Y+65
+Prize: X=7985, Y=9391
+
+Button A: X+19, Y+63
+Button B: X+95, Y+36
+Prize: X=9101, Y=7578
+
+Button A: X+53, Y+26
+Button B: X+11, Y+21
+Prize: X=4919, Y=4544
+
+Button A: X+26, Y+72
+Button B: X+39, Y+27
+Prize: X=5070, Y=7560
+
+Button A: X+14, Y+26
+Button B: X+61, Y+36
+Prize: X=5189, Y=4304
+
+Button A: X+49, Y+13
+Button B: X+42, Y+48
+Prize: X=6678, Y=4536
+
+Button A: X+86, Y+39
+Button B: X+12, Y+55
+Prize: X=9306, Y=6676
+
+Button A: X+21, Y+99
+Button B: X+53, Y+44
+Prize: X=1975, Y=4576
+
+Button A: X+29, Y+47
+Button B: X+46, Y+14
+Prize: X=2373, Y=323
+
+Button A: X+33, Y+51
+Button B: X+33, Y+16
+Prize: X=3861, Y=4042
+
+Button A: X+16, Y+35
+Button B: X+56, Y+29
+Prize: X=12328, Y=15241
+
+Button A: X+79, Y+46
+Button B: X+42, Y+96
+Prize: X=9137, Y=11330
+
+Button A: X+33, Y+18
+Button B: X+24, Y+44
+Prize: X=1907, Y=17842
+
+Button A: X+36, Y+65
+Button B: X+53, Y+17
+Prize: X=7394, Y=10972
+
+Button A: X+13, Y+40
+Button B: X+49, Y+19
+Prize: X=16980, Y=18282
+
+Button A: X+12, Y+32
+Button B: X+54, Y+35
+Prize: X=15608, Y=17942
+
+Button A: X+19, Y+96
+Button B: X+90, Y+28
+Prize: X=5195, Y=7472
+
+Button A: X+79, Y+20
+Button B: X+11, Y+52
+Prize: X=1308, Y=4416
+
+Button A: X+70, Y+43
+Button B: X+13, Y+33
+Prize: X=2728, Y=16318
+
+Button A: X+27, Y+57
+Button B: X+69, Y+35
+Prize: X=19667, Y=16365
+
+Button A: X+61, Y+15
+Button B: X+23, Y+78
+Prize: X=15537, Y=5324
+
+Button A: X+15, Y+37
+Button B: X+83, Y+59
+Prize: X=14468, Y=18532
+
+Button A: X+42, Y+23
+Button B: X+28, Y+59
+Prize: X=1810, Y=3395
+
+Button A: X+82, Y+14
+Button B: X+15, Y+74
+Prize: X=7375, Y=16290
+
+Button A: X+64, Y+22
+Button B: X+30, Y+70
+Prize: X=6200, Y=7440
+
+Button A: X+99, Y+24
+Button B: X+11, Y+12
+Prize: X=2860, Y=1188
+
+Button A: X+17, Y+39
+Button B: X+69, Y+41
+Prize: X=7116, Y=16904
+
+Button A: X+99, Y+88
+Button B: X+14, Y+92
+Prize: X=6363, Y=6372
+
+Button A: X+57, Y+87
+Button B: X+95, Y+46
+Prize: X=7410, Y=8637
+
+Button A: X+46, Y+31
+Button B: X+13, Y+36
+Prize: X=14091, Y=7260
+
+Button A: X+26, Y+54
+Button B: X+60, Y+34
+Prize: X=1774, Y=12646
+
+Button A: X+49, Y+58
+Button B: X+75, Y+19
+Prize: X=4463, Y=3957
+
+Button A: X+11, Y+55
+Button B: X+26, Y+18
+Prize: X=2948, Y=6116
+
+Button A: X+19, Y+93
+Button B: X+74, Y+22
+Prize: X=6888, Y=3096
+
+Button A: X+38, Y+72
+Button B: X+63, Y+12
+Prize: X=1149, Y=996
+
+Button A: X+43, Y+79
+Button B: X+54, Y+25
+Prize: X=4804, Y=2815
+
+Button A: X+15, Y+54
+Button B: X+99, Y+69
+Prize: X=2346, Y=2985
+
+Button A: X+78, Y+70
+Button B: X+26, Y+80
+Prize: X=9360, Y=13330
+
+Button A: X+52, Y+12
+Button B: X+34, Y+67
+Prize: X=13144, Y=11462
+
+Button A: X+50, Y+19
+Button B: X+53, Y+98
+Prize: X=1898, Y=1967
+
+Button A: X+46, Y+15
+Button B: X+29, Y+59
+Prize: X=15349, Y=1647
+
+Button A: X+16, Y+71
+Button B: X+69, Y+12
+Prize: X=14848, Y=3054
+
+Button A: X+70, Y+16
+Button B: X+14, Y+47
+Prize: X=15544, Y=7609
+
+Button A: X+66, Y+22
+Button B: X+62, Y+76
+Prize: X=7270, Y=6850
+
+Button A: X+19, Y+75
+Button B: X+34, Y+26
+Prize: X=2697, Y=3937
+
+Button A: X+62, Y+39
+Button B: X+17, Y+47
+Prize: X=6349, Y=8658
+
+Button A: X+11, Y+46
+Button B: X+64, Y+13
+Prize: X=17366, Y=18904
+
+Button A: X+17, Y+58
+Button B: X+27, Y+13
+Prize: X=593, Y=15287
+
+Button A: X+39, Y+60
+Button B: X+86, Y+25
+Prize: X=4635, Y=1980
+
+Button A: X+22, Y+57
+Button B: X+93, Y+74
+Prize: X=2326, Y=4023
+
+Button A: X+80, Y+39
+Button B: X+15, Y+48
+Prize: X=16720, Y=2783
+
+Button A: X+98, Y+94
+Button B: X+79, Y+15
+Prize: X=4327, Y=2631
+
+Button A: X+57, Y+73
+Button B: X+68, Y+26
+Prize: X=9634, Y=7268
+
+Button A: X+29, Y+19
+Button B: X+13, Y+28
+Prize: X=8784, Y=14474
+
+Button A: X+19, Y+32
+Button B: X+48, Y+13
+Prize: X=14507, Y=18875
+
+Button A: X+32, Y+86
+Button B: X+62, Y+14
+Prize: X=4008, Y=6498
+
+Button A: X+36, Y+95
+Button B: X+64, Y+11
+Prize: X=5176, Y=4975
+
+Button A: X+31, Y+58
+Button B: X+42, Y+16
+Prize: X=2690, Y=4720
+
+Button A: X+74, Y+82
+Button B: X+91, Y+14
+Prize: X=12547, Y=8780
+
+Button A: X+44, Y+12
+Button B: X+35, Y+62
+Prize: X=18163, Y=16198
+
+Button A: X+77, Y+31
+Button B: X+14, Y+43
+Prize: X=3612, Y=2874
+
+Button A: X+88, Y+98
+Button B: X+85, Y+13
+Prize: X=3940, Y=1448
+
+Button A: X+54, Y+96
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+Button A: X+75, Y+20
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+Button A: X+22, Y+57
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\ No newline at end of file