commit 530b2d3dbb4c7a939734c34e9bb1174619d74568
parent e1652e565d5220b01a736e8722b3b5e8d8ba342c
Author: Martin Ashby <martin@ashbysoft.com>
Date: Thu, 2 Jan 2025 20:17:52 +0000
Day 13 pt1
Diffstat:
3 files changed, 1387 insertions(+), 0 deletions(-)
diff --git a/day13.txt b/day13.txt
@@ -0,0 +1,1279 @@
+Button A: X+40, Y+38
+Button B: X+21, Y+84
+Prize: X=4245, Y=5634
+
+Button A: X+19, Y+11
+Button B: X+37, Y+98
+Prize: X=3246, Y=6474
+
+Button A: X+12, Y+38
+Button B: X+44, Y+28
+Prize: X=812, Y=12604
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+Button A: X+29, Y+13
+Button B: X+39, Y+72
+Prize: X=2243, Y=14090
+
+Button A: X+96, Y+46
+Button B: X+42, Y+79
+Prize: X=12408, Y=11362
+
+Button A: X+65, Y+27
+Button B: X+12, Y+51
+Prize: X=8809, Y=6422
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+Button A: X+11, Y+91
+Button B: X+66, Y+82
+Prize: X=5830, Y=9254
+
+Button A: X+57, Y+13
+Button B: X+16, Y+67
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+
+Button A: X+11, Y+70
+Button B: X+83, Y+20
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+
+Button A: X+51, Y+84
+Button B: X+66, Y+23
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+
+Button A: X+14, Y+59
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+
+Button A: X+56, Y+21
+Button B: X+25, Y+58
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+Button A: X+75, Y+40
+Button B: X+22, Y+40
+Prize: X=7732, Y=5000
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+Button A: X+98, Y+34
+Button B: X+75, Y+89
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+
+Button A: X+12, Y+49
+Button B: X+43, Y+13
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+Button A: X+77, Y+17
+Button B: X+16, Y+60
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+Button A: X+13, Y+40
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+Button A: X+13, Y+42
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+Button A: X+34, Y+51
+Button B: X+84, Y+40
+Prize: X=10224, Y=7166
+
+Button A: X+13, Y+76
+Button B: X+59, Y+12
+Prize: X=18974, Y=8992
+
+Button A: X+32, Y+31
+Button B: X+14, Y+83
+Prize: X=2548, Y=7329
+
+Button A: X+34, Y+94
+Button B: X+52, Y+13
+Prize: X=6358, Y=6463
+
+Button A: X+24, Y+33
+Button B: X+47, Y+19
+Prize: X=5073, Y=3006
+
+Button A: X+19, Y+63
+Button B: X+49, Y+15
+Prize: X=16481, Y=5627
+
+Button A: X+17, Y+49
+Button B: X+83, Y+23
+Prize: X=6429, Y=5989
+
+Button A: X+75, Y+54
+Button B: X+12, Y+28
+Prize: X=3383, Y=10382
+
+Button A: X+47, Y+44
+Button B: X+81, Y+16
+Prize: X=7640, Y=1648
+
+Button A: X+38, Y+14
+Button B: X+29, Y+50
+Prize: X=11822, Y=16106
+
+Button A: X+77, Y+34
+Button B: X+23, Y+70
+Prize: X=3054, Y=3084
+
+Button A: X+83, Y+24
+Button B: X+18, Y+63
+Prize: X=8358, Y=6867
+
+Button A: X+71, Y+40
+Button B: X+23, Y+78
+Prize: X=7136, Y=5126
+
+Button A: X+31, Y+81
+Button B: X+81, Y+50
+Prize: X=8228, Y=8729
+
+Button A: X+98, Y+14
+Button B: X+43, Y+39
+Prize: X=2960, Y=2460
+
+Button A: X+95, Y+62
+Button B: X+11, Y+41
+Prize: X=4992, Y=4002
+
+Button A: X+79, Y+18
+Button B: X+32, Y+75
+Prize: X=3972, Y=4629
+
+Button A: X+31, Y+76
+Button B: X+94, Y+12
+Prize: X=8634, Y=4128
+
+Button A: X+58, Y+17
+Button B: X+24, Y+73
+Prize: X=8768, Y=10860
+
+Button A: X+60, Y+16
+Button B: X+61, Y+96
+Prize: X=6182, Y=6592
+
+Button A: X+63, Y+18
+Button B: X+33, Y+75
+Prize: X=16073, Y=14714
+
+Button A: X+37, Y+15
+Button B: X+49, Y+75
+Prize: X=2391, Y=11285
+
+Button A: X+69, Y+49
+Button B: X+14, Y+56
+Prize: X=6196, Y=7532
+
+Button A: X+20, Y+61
+Button B: X+61, Y+20
+Prize: X=12379, Y=5286
+
+Button A: X+39, Y+71
+Button B: X+25, Y+11
+Prize: X=1962, Y=1294
+
+Button A: X+75, Y+34
+Button B: X+14, Y+40
+Prize: X=17099, Y=15930
+
+Button A: X+88, Y+16
+Button B: X+25, Y+58
+Prize: X=4555, Y=3982
+
+Button A: X+64, Y+73
+Button B: X+12, Y+72
+Prize: X=1352, Y=2825
+
+Button A: X+20, Y+74
+Button B: X+48, Y+15
+Prize: X=4112, Y=3182
+
+Button A: X+22, Y+37
+Button B: X+27, Y+15
+Prize: X=18362, Y=4145
+
+Button A: X+20, Y+46
+Button B: X+52, Y+24
+Prize: X=8104, Y=15420
+
+Button A: X+23, Y+54
+Button B: X+32, Y+16
+Prize: X=13407, Y=10166
+
+Button A: X+79, Y+77
+Button B: X+80, Y+11
+Prize: X=15261, Y=8646
+
+Button A: X+54, Y+27
+Button B: X+31, Y+56
+Prize: X=16561, Y=19116
+
+Button A: X+22, Y+43
+Button B: X+76, Y+40
+Prize: X=5000, Y=4454
+
+Button A: X+69, Y+98
+Button B: X+89, Y+36
+Prize: X=5019, Y=6586
+
+Button A: X+58, Y+40
+Button B: X+14, Y+35
+Prize: X=19282, Y=6535
+
+Button A: X+60, Y+65
+Button B: X+61, Y+17
+Prize: X=6744, Y=3183
+
+Button A: X+32, Y+71
+Button B: X+43, Y+15
+Prize: X=19388, Y=6017
+
+Button A: X+25, Y+68
+Button B: X+90, Y+45
+Prize: X=6460, Y=5783
+
+Button A: X+48, Y+17
+Button B: X+63, Y+84
+Prize: X=4113, Y=4356
+
+Button A: X+30, Y+99
+Button B: X+93, Y+33
+Prize: X=4743, Y=9900
+
+Button A: X+62, Y+19
+Button B: X+13, Y+82
+Prize: X=2907, Y=1593
+
+Button A: X+21, Y+42
+Button B: X+56, Y+36
+Prize: X=11127, Y=3362
+
+Button A: X+24, Y+11
+Button B: X+13, Y+44
+Prize: X=6870, Y=5006
+
+Button A: X+94, Y+62
+Button B: X+11, Y+22
+Prize: X=9446, Y=7174
+
+Button A: X+16, Y+64
+Button B: X+82, Y+35
+Prize: X=3918, Y=229
+
+Button A: X+52, Y+78
+Button B: X+37, Y+16
+Prize: X=7082, Y=13428
+
+Button A: X+15, Y+68
+Button B: X+45, Y+16
+Prize: X=3695, Y=5912
+
+Button A: X+21, Y+84
+Button B: X+51, Y+29
+Prize: X=4935, Y=9940
+
+Button A: X+75, Y+28
+Button B: X+11, Y+44
+Prize: X=13726, Y=10856
+
+Button A: X+22, Y+58
+Button B: X+66, Y+17
+Prize: X=7316, Y=1998
+
+Button A: X+88, Y+23
+Button B: X+38, Y+61
+Prize: X=9878, Y=6514
+
+Button A: X+40, Y+70
+Button B: X+49, Y+19
+Prize: X=2710, Y=13540
+
+Button A: X+27, Y+51
+Button B: X+84, Y+27
+Prize: X=10278, Y=6774
+
+Button A: X+15, Y+58
+Button B: X+46, Y+18
+Prize: X=13233, Y=696
+
+Button A: X+73, Y+30
+Button B: X+12, Y+60
+Prize: X=2464, Y=2940
+
+Button A: X+73, Y+36
+Button B: X+18, Y+45
+Prize: X=6728, Y=4221
+
+Button A: X+20, Y+38
+Button B: X+51, Y+20
+Prize: X=4509, Y=2492
+
+Button A: X+12, Y+57
+Button B: X+56, Y+19
+Prize: X=1180, Y=4370
+
+Button A: X+18, Y+74
+Button B: X+91, Y+39
+Prize: X=2713, Y=6797
+
+Button A: X+13, Y+27
+Button B: X+54, Y+12
+Prize: X=924, Y=1218
+
+Button A: X+13, Y+79
+Button B: X+63, Y+50
+Prize: X=5645, Y=6678
+
+Button A: X+61, Y+28
+Button B: X+13, Y+53
+Prize: X=18905, Y=11326
+
+Button A: X+23, Y+38
+Button B: X+94, Y+39
+Prize: X=4360, Y=2435
+
+Button A: X+86, Y+20
+Button B: X+38, Y+59
+Prize: X=6476, Y=6422
+
+Button A: X+12, Y+54
+Button B: X+50, Y+18
+Prize: X=16766, Y=5660
+
+Button A: X+15, Y+95
+Button B: X+68, Y+60
+Prize: X=3883, Y=9395
+
+Button A: X+13, Y+30
+Button B: X+74, Y+43
+Prize: X=17495, Y=19762
+
+Button A: X+19, Y+46
+Button B: X+69, Y+26
+Prize: X=723, Y=8622
+
+Button A: X+54, Y+18
+Button B: X+14, Y+33
+Prize: X=366, Y=13862
+
+Button A: X+71, Y+36
+Button B: X+18, Y+46
+Prize: X=4690, Y=2968
+
+Button A: X+97, Y+68
+Button B: X+19, Y+68
+Prize: X=5065, Y=8636
+
+Button A: X+39, Y+76
+Button B: X+47, Y+13
+Prize: X=7571, Y=3589
+
+Button A: X+51, Y+19
+Button B: X+23, Y+70
+Prize: X=6566, Y=12027
+
+Button A: X+39, Y+59
+Button B: X+75, Y+22
+Prize: X=4818, Y=1984
+
+Button A: X+97, Y+14
+Button B: X+71, Y+77
+Prize: X=15444, Y=7903
+
+Button A: X+40, Y+28
+Button B: X+35, Y+82
+Prize: X=4050, Y=6860
+
+Button A: X+23, Y+23
+Button B: X+76, Y+16
+Prize: X=2842, Y=1942
+
+Button A: X+64, Y+36
+Button B: X+25, Y+49
+Prize: X=3864, Y=5248
+
+Button A: X+34, Y+63
+Button B: X+20, Y+11
+Prize: X=10418, Y=15778
+
+Button A: X+73, Y+24
+Button B: X+49, Y+86
+Prize: X=5359, Y=8052
+
+Button A: X+34, Y+82
+Button B: X+51, Y+13
+Prize: X=11073, Y=1219
+
+Button A: X+34, Y+96
+Button B: X+97, Y+76
+Prize: X=7805, Y=7988
+
+Button A: X+69, Y+40
+Button B: X+26, Y+52
+Prize: X=12331, Y=3644
+
+Button A: X+94, Y+29
+Button B: X+35, Y+58
+Prize: X=8190, Y=4698
+
+Button A: X+32, Y+79
+Button B: X+77, Y+18
+Prize: X=6541, Y=4962
+
+Button A: X+12, Y+83
+Button B: X+87, Y+11
+Prize: X=7976, Y=18341
+
+Button A: X+91, Y+33
+Button B: X+48, Y+78
+Prize: X=12379, Y=8973
+
+Button A: X+99, Y+42
+Button B: X+26, Y+92
+Prize: X=3348, Y=5064
+
+Button A: X+15, Y+60
+Button B: X+62, Y+20
+Prize: X=3655, Y=10840
+
+Button A: X+29, Y+61
+Button B: X+58, Y+28
+Prize: X=12676, Y=19276
+
+Button A: X+16, Y+82
+Button B: X+79, Y+28
+Prize: X=1021, Y=4102
+
+Button A: X+36, Y+14
+Button B: X+21, Y+50
+Prize: X=1514, Y=6638
+
+Button A: X+42, Y+59
+Button B: X+97, Y+26
+Prize: X=8779, Y=6268
+
+Button A: X+67, Y+13
+Button B: X+87, Y+95
+Prize: X=6726, Y=7164
+
+Button A: X+51, Y+42
+Button B: X+23, Y+72
+Prize: X=4048, Y=7260
+
+Button A: X+31, Y+72
+Button B: X+18, Y+12
+Prize: X=3629, Y=7296
+
+Button A: X+40, Y+59
+Button B: X+80, Y+21
+Prize: X=1760, Y=947
+
+Button A: X+11, Y+38
+Button B: X+50, Y+14
+Prize: X=1815, Y=18132
+
+Button A: X+98, Y+70
+Button B: X+24, Y+59
+Prize: X=6266, Y=4978
+
+Button A: X+53, Y+15
+Button B: X+77, Y+95
+Prize: X=905, Y=915
+
+Button A: X+93, Y+51
+Button B: X+17, Y+80
+Prize: X=3846, Y=8046
+
+Button A: X+12, Y+62
+Button B: X+96, Y+82
+Prize: X=6420, Y=5846
+
+Button A: X+23, Y+99
+Button B: X+45, Y+48
+Prize: X=2096, Y=2757
+
+Button A: X+77, Y+15
+Button B: X+15, Y+61
+Prize: X=14426, Y=16046
+
+Button A: X+34, Y+14
+Button B: X+23, Y+31
+Prize: X=17470, Y=6594
+
+Button A: X+84, Y+24
+Button B: X+46, Y+96
+Prize: X=7464, Y=7104
+
+Button A: X+32, Y+68
+Button B: X+63, Y+24
+Prize: X=13372, Y=7132
+
+Button A: X+42, Y+13
+Button B: X+47, Y+73
+Prize: X=11393, Y=3677
+
+Button A: X+39, Y+16
+Button B: X+43, Y+74
+Prize: X=12111, Y=9106
+
+Button A: X+64, Y+80
+Button B: X+47, Y+16
+Prize: X=3879, Y=1728
+
+Button A: X+44, Y+40
+Button B: X+90, Y+18
+Prize: X=9688, Y=2936
+
+Button A: X+96, Y+36
+Button B: X+36, Y+64
+Prize: X=3456, Y=5740
+
+Button A: X+12, Y+81
+Button B: X+60, Y+31
+Prize: X=4836, Y=6463
+
+Button A: X+28, Y+46
+Button B: X+79, Y+34
+Prize: X=5949, Y=4122
+
+Button A: X+29, Y+84
+Button B: X+73, Y+51
+Prize: X=8238, Y=9261
+
+Button A: X+61, Y+15
+Button B: X+14, Y+62
+Prize: X=12073, Y=12411
+
+Button A: X+29, Y+13
+Button B: X+14, Y+32
+Prize: X=8805, Y=1677
+
+Button A: X+37, Y+72
+Button B: X+40, Y+16
+Prize: X=17919, Y=14712
+
+Button A: X+14, Y+43
+Button B: X+56, Y+21
+Prize: X=8026, Y=6925
+
+Button A: X+53, Y+15
+Button B: X+30, Y+64
+Prize: X=2437, Y=2355
+
+Button A: X+40, Y+65
+Button B: X+44, Y+15
+Prize: X=2048, Y=5280
+
+Button A: X+30, Y+17
+Button B: X+16, Y+34
+Prize: X=11858, Y=1961
+
+Button A: X+54, Y+17
+Button B: X+67, Y+76
+Prize: X=6016, Y=2443
+
+Button A: X+12, Y+58
+Button B: X+51, Y+12
+Prize: X=2246, Y=13106
+
+Button A: X+13, Y+30
+Button B: X+62, Y+14
+Prize: X=16172, Y=9898
+
+Button A: X+97, Y+83
+Button B: X+29, Y+93
+Prize: X=3909, Y=10027
+
+Button A: X+11, Y+70
+Button B: X+77, Y+26
+Prize: X=1881, Y=4082
+
+Button A: X+72, Y+17
+Button B: X+72, Y+86
+Prize: X=2664, Y=2699
+
+Button A: X+13, Y+40
+Button B: X+99, Y+62
+Prize: X=3789, Y=4380
+
+Button A: X+76, Y+77
+Button B: X+15, Y+68
+Prize: X=4074, Y=8035
+
+Button A: X+85, Y+51
+Button B: X+12, Y+33
+Prize: X=8771, Y=6759
+
+Button A: X+48, Y+99
+Button B: X+94, Y+50
+Prize: X=5722, Y=5615
+
+Button A: X+25, Y+73
+Button B: X+56, Y+22
+Prize: X=6614, Y=6010
+
+Button A: X+46, Y+34
+Button B: X+13, Y+91
+Prize: X=4217, Y=4175
+
+Button A: X+60, Y+58
+Button B: X+13, Y+53
+Prize: X=6137, Y=9531
+
+Button A: X+27, Y+59
+Button B: X+46, Y+18
+Prize: X=4171, Y=2843
+
+Button A: X+98, Y+90
+Button B: X+20, Y+90
+Prize: X=5418, Y=6480
+
+Button A: X+34, Y+64
+Button B: X+45, Y+12
+Prize: X=2503, Y=11980
+
+Button A: X+32, Y+11
+Button B: X+14, Y+33
+Prize: X=9516, Y=14510
+
+Button A: X+11, Y+59
+Button B: X+55, Y+14
+Prize: X=1189, Y=1697
diff --git a/day13_sample.txt b/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
diff --git a/src/main/java/day13_pt1.java b/src/main/java/day13_pt1.java
@@ -0,0 +1,93 @@
+import java.nio.file.Files;
+import java.nio.file.Path;
+import java.io.IOException;
+import java.util.*;
+import java.util.stream.*;
+import java.util.regex.*;
+
+class day13_pt1 {
+ // A * 94 + B * 22 = 8400
+ // A * 34 + B * 67 = 5400
+ // How many solutions does it have?
+ // Identify the A coefficent
+ // Multiply each side by the A coefficient of the other
+ // A * 3196 + B * 748 = 285600
+ // A * 3196 + B * 6298 = 507600
+ // Subtract one from the other so the A coefficients are cancelled to zero
+ // B * -5550 = -222000
+ // Divide the constant side by the remaining B coefficient; INTEGERS ONLY here, if we have a remainder then bail, can't solve.
+ // B = 40
+ // Substitute back into the original equation to find A OR repeat the process with the B coefficient to find A
+ // Multiply each side by the B coefficient of the other
+ // A * 6298 + B * 1474 = 562800
+ // A * 748 + B * 1474 = 118800
+ // A * 5550 = 444000
+ // A = 80
+ // So; we have a red herring about minimisation; simultaneous equations only have one solution it seems
+ //
+ // I'm pretty sure this problem lends itself really well to vector / matrix math but I can't remember exactly how to get there from here
+ // We'll do it simply
+ static final Pattern A = Pattern.compile("Button A: X\\+(\\d+), Y\\+(\\d+)");
+ static final Pattern B = Pattern.compile("Button B: X\\+(\\d+), Y\\+(\\d+)");
+ static final Pattern Z = Pattern.compile("Prize: X=(\\d+), Y=(\\d+)");
+ public static void main(String[] args) throws IOException {
+
+ var lines = Files.readAllLines(Path.of(args[0]));
+ var res = 0l;
+ for (int i=0; i< lines.size(); i+=4) {
+ var aline = lines.get(i);
+ var bline = lines.get(i+1);
+ var zline = lines.get(i+2);
+ var am = A.matcher(aline);
+ if (!am.matches()) throw new RuntimeException("line doesn't match [%s]".formatted(aline));
+ var ax = Long.parseLong(am.group(1));
+ var ay = Long.parseLong(am.group(2));
+
+ var bm = B.matcher(bline);
+ if (!bm.matches()) throw new RuntimeException("line doesn't match [%s]".formatted(bline));
+ var bx = Long.parseLong(bm.group(1));
+ var by = Long.parseLong(bm.group(2));
+
+ var zm = Z.matcher(zline);
+ if (!zm.matches()) throw new RuntimeException("line doesn't match [%s]".formatted(zline));
+ var zx = Long.parseLong(zm.group(1));
+ var zy = Long.parseLong(zm.group(2));
+ //System.out.printf("A * %d + B * %d = %d\n", ax, bx, zx);
+ //System.out.printf("A * %d + B * %d = %d\n", ay, by, zy);
+ // Solve for A
+ {
+ var c1 = zx * by - zy * bx;
+ var c2 = ax * by - ay * bx;
+
+ if (c1 % c2 != 0) {
+ //System.out.println("non-integer result, skipping");
+ continue;
+ }
+ var a = c1 / c2;
+ //System.out.printf("A = %d\n", a);
+ if (a > 100) {
+ //System.out.println("A is too big, skipping");
+ }
+ res += (3 * a);
+ }
+ // Solve for B
+ {
+ var c1 = zx * ay - zy * ax;
+ var c2 = bx * ay - by * ax;
+ if (c1 % c2 != 0) {
+ //System.out.println("non-integer result, skipping");
+ continue;
+ }
+ var b = c1 / c2;
+ //System.out.printf("B = %d\n", b);
+ if (b > 100) {
+ //System.out.println("B is too big, skipping");
+ continue;
+ }
+ res += b;
+ }
+ //System.out.println("");
+ }
+ System.out.printf("Day 13, pt1 = %d\n", res);
+ }
+}
