commit 18c7b99edee335b20ec04b2eacab55163d351994
parent b6264be563583c188018d534a223d4108cce6d76
Author: Sebastiano Tronto <sebastiano@tronto.net>
Date: Fri, 13 Dec 2024 06:51:26 +0100
Day 13 2024
Diffstat:
8 files changed, 2734 insertions(+), 0 deletions(-)
diff --git a/2024/13/Makefile b/2024/13/Makefile
@@ -0,0 +1,24 @@
+CC=g++ -std=c++20 -g -Wall
+
+a:
+ ${CC} -o a.out day13a.cpp
+
+b:
+ ${CC} -o b.out day13b.cpp
+
+clean:
+ rm -f a b
+
+atest: a
+ ./a.out
+
+btest: b
+ ./b.out
+
+arun: a
+ ./a.out < input
+
+brun: b
+ ./b.out < input
+
+.PHONY: a b clean atest btest arun brun
diff --git a/2024/13/clean.sh b/2024/13/clean.sh
@@ -0,0 +1,3 @@
+#!/bin/sh
+
+sed 's/Button .: X+//; s/, Y./ /; s/Prize: X=//'
diff --git a/2024/13/day13a.cpp b/2024/13/day13a.cpp
@@ -0,0 +1,62 @@
+/*
+This is the dumb solution I wrote before actually thinking how to solve
+the problem. Check out day13b.cpp for a better solution (just remove the
++N in the input-reading part).
+
+Also, both this file and day13b.cpp take a different input format than
+what was given. I used clean.sh to convert from 'input-original' to 'input'.
+*/
+
+#include <algorithm>
+#include <iostream>
+#include <map>
+#include <ranges>
+#include <set>
+#include <sstream>
+#include <string>
+#include <string_view>
+#include <vector>
+using namespace std;
+
+#define INF 999999
+
+class Machine {
+public:
+ pair<int, int> a, b, prize;
+
+ Machine(int a1, int a2, int b1, int b2, int p1, int p2) :
+ a(a1, a2), b(b1, b2), prize(p1, p2) {}
+};
+
+int main() {
+ string line;
+ int a1, a2, b1, b2, p1, p2;
+ vector <Machine> machines;
+ while (cin >> a1 >> a2) {
+ cin >> b1 >> b2;
+ cin >> p1 >> p2;
+ getline(cin, line);
+ machines.push_back(Machine(a1, a2, b1, b2, p1, p2));
+ }
+
+ int tot = 0;
+ for (auto m : machines) {
+ int minp = INF;
+ for (int i = 0; i <= 100; i++) {
+ int x = m.prize.first-m.a.first*i;
+ int y = m.prize.second-m.a.second*i;
+ if (x % m.b.first != 0 || y % m.b.second != 0)
+ continue;
+ int a = x / m.b.first;
+ int b = y / m.b.second;
+ if (a != b)
+ continue;
+ minp = min(minp, 3*i+a);
+ }
+ tot += minp == INF ? 0 : minp;
+ }
+
+ cout << tot << endl;
+
+ return 0;
+}
diff --git a/2024/13/day13b.cpp b/2024/13/day13b.cpp
@@ -0,0 +1,57 @@
+#include <algorithm>
+#include <iostream>
+#include <map>
+#include <ranges>
+#include <set>
+#include <sstream>
+#include <string>
+#include <string_view>
+#include <vector>
+using namespace std;
+
+#define N 10000000000000
+#define INF 999999
+
+class Machine {
+public:
+ pair<int64_t, int64_t> a, b, p;
+
+ Machine(int64_t a1, int64_t a2,
+ int64_t b1, int64_t b2, int64_t p1, int64_t p2) :
+ a(a1, a2), b(b1, b2), p(p1, p2) {}
+};
+
+int64_t det(int64_t a, int64_t b, int64_t c, int64_t d) {
+ return a*d - b*c;
+}
+
+pair<int64_t, int64_t> solve_system(const Machine m) {
+ auto d = det(m.a.first, m.b.first, m.a.second, m.b.second);
+ auto dx = det(m.p.first, m.b.first, m.p.second, m.b.second);
+ auto dy = det(m.a.first, m.p.first, m.a.second, m.p.second);
+ return make_pair(dx/d, dy/d);
+}
+
+int main() {
+ string line;
+ int64_t a1, a2, b1, b2, p1, p2;
+ vector <Machine> machines;
+ while (cin >> a1 >> a2) {
+ cin >> b1 >> b2;
+ cin >> p1 >> p2;
+ getline(cin, line);
+ machines.push_back(Machine(a1, a2, b1, b2, p1+N, p2+N));
+ }
+
+ int64_t tot = 0;
+ for (auto m : machines) {
+ auto [x, y] = solve_system(m);
+ if (m.a.first * x + m.b.first * y == m.p.first &&
+ m.a.second * x + m.b.second * y == m.p.second)
+ tot += 3*x + y;
+ }
+
+ cout << tot << endl;
+
+ return 0;
+}
diff --git a/2024/13/input b/2024/13/input
@@ -0,0 +1,1279 @@
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diff --git a/2024/13/input-original b/2024/13/input-original
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+Button A: X+55, Y+18
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+Prize: X=16050, Y=14820
+
+Button A: X+52, Y+21
+Button B: X+15, Y+49
+Prize: X=4037, Y=6619
+
+Button A: X+75, Y+11
+Button B: X+11, Y+51
+Prize: X=19531, Y=6083
+
+Button A: X+90, Y+21
+Button B: X+29, Y+38
+Prize: X=10125, Y=3768
+
+Button A: X+33, Y+70
+Button B: X+45, Y+20
+Prize: X=4805, Y=17590
+
+Button A: X+11, Y+28
+Button B: X+58, Y+33
+Prize: X=4190, Y=18722
+
+Button A: X+95, Y+50
+Button B: X+16, Y+70
+Prize: X=3754, Y=2530
+
+Button A: X+88, Y+19
+Button B: X+35, Y+84
+Prize: X=7511, Y=3227
+
+Button A: X+48, Y+12
+Button B: X+11, Y+31
+Prize: X=9355, Y=19551
+
+Button A: X+71, Y+40
+Button B: X+39, Y+96
+Prize: X=9850, Y=12656
+
+Button A: X+18, Y+46
+Button B: X+69, Y+53
+Prize: X=1584, Y=3308
+
+Button A: X+65, Y+26
+Button B: X+62, Y+89
+Prize: X=7671, Y=5829
+
+Button A: X+92, Y+51
+Button B: X+19, Y+41
+Prize: X=4806, Y=5650
+
+Button A: X+26, Y+98
+Button B: X+50, Y+39
+Prize: X=6268, Y=10174
+
+Button A: X+16, Y+64
+Button B: X+34, Y+12
+Prize: X=16854, Y=11364
+
+Button A: X+20, Y+69
+Button B: X+61, Y+23
+Prize: X=408, Y=12175
+
+Button A: X+49, Y+16
+Button B: X+11, Y+45
+Prize: X=17005, Y=1724
+
+Button A: X+82, Y+15
+Button B: X+92, Y+80
+Prize: X=15178, Y=8525
+
+Button A: X+98, Y+17
+Button B: X+32, Y+95
+Prize: X=4930, Y=5596
+
+Button A: X+74, Y+24
+Button B: X+63, Y+72
+Prize: X=4818, Y=1872
+
+Button A: X+63, Y+23
+Button B: X+29, Y+74
+Prize: X=4610, Y=2155
+
+Button A: X+14, Y+69
+Button B: X+46, Y+16
+Prize: X=5686, Y=14981
+
+Button A: X+12, Y+44
+Button B: X+73, Y+32
+Prize: X=1404, Y=2320
+
+Button A: X+16, Y+61
+Button B: X+36, Y+16
+Prize: X=19784, Y=1294
+
+Button A: X+79, Y+17
+Button B: X+11, Y+57
+Prize: X=18419, Y=19769
+
+Button A: X+27, Y+61
+Button B: X+32, Y+16
+Prize: X=11215, Y=8185
+
+Button A: X+80, Y+14
+Button B: X+55, Y+94
+Prize: X=6715, Y=3622
+
+Button A: X+13, Y+99
+Button B: X+67, Y+60
+Prize: X=1132, Y=5469
+
+Button A: X+11, Y+64
+Button B: X+68, Y+52
+Prize: X=1359, Y=3096
+
+Button A: X+16, Y+40
+Button B: X+60, Y+34
+Prize: X=4712, Y=2220
+
+Button A: X+50, Y+11
+Button B: X+12, Y+60
+Prize: X=15794, Y=4259
+
+Button A: X+38, Y+17
+Button B: X+29, Y+54
+Prize: X=1335, Y=6160
+
+Button A: X+36, Y+59
+Button B: X+93, Y+32
+Prize: X=6990, Y=6880
+
+Button A: X+29, Y+97
+Button B: X+62, Y+55
+Prize: X=3255, Y=5097
+
+Button A: X+25, Y+21
+Button B: X+22, Y+73
+Prize: X=3307, Y=5831
+
+Button A: X+15, Y+75
+Button B: X+87, Y+82
+Prize: X=2655, Y=6215
+
+Button A: X+22, Y+82
+Button B: X+74, Y+39
+Prize: X=4198, Y=6648
+
+Button A: X+41, Y+61
+Button B: X+36, Y+11
+Prize: X=7347, Y=17092
+
+Button A: X+82, Y+51
+Button B: X+19, Y+60
+Prize: X=1729, Y=1509
+
+Button A: X+43, Y+13
+Button B: X+49, Y+76
+Prize: X=8520, Y=7788
+
+Button A: X+97, Y+24
+Button B: X+46, Y+51
+Prize: X=1349, Y=1245
+
+Button A: X+84, Y+38
+Button B: X+13, Y+51
+Prize: X=10408, Y=4606
+
+Button A: X+48, Y+97
+Button B: X+80, Y+28
+Prize: X=9584, Y=8808
+
+Button A: X+13, Y+32
+Button B: X+76, Y+43
+Prize: X=16226, Y=18495
+
+Button A: X+14, Y+33
+Button B: X+78, Y+54
+Prize: X=1852, Y=2028
+
+Button A: X+11, Y+30
+Button B: X+73, Y+37
+Prize: X=7433, Y=18454
+
+Button A: X+23, Y+56
+Button B: X+31, Y+16
+Prize: X=12525, Y=3816
+
+Button A: X+55, Y+16
+Button B: X+21, Y+68
+Prize: X=16009, Y=16852
+
+Button A: X+17, Y+47
+Button B: X+76, Y+37
+Prize: X=6637, Y=12724
+
+Button A: X+74, Y+88
+Button B: X+59, Y+12
+Prize: X=9928, Y=6688
+
+Button A: X+26, Y+87
+Button B: X+32, Y+21
+Prize: X=1790, Y=3063
+
+Button A: X+25, Y+71
+Button B: X+56, Y+19
+Prize: X=1849, Y=5946
+
+Button A: X+51, Y+76
+Button B: X+59, Y+28
+Prize: X=7997, Y=6644
+
+Button A: X+53, Y+28
+Button B: X+32, Y+62
+Prize: X=5323, Y=6228
+
+Button A: X+33, Y+69
+Button B: X+39, Y+18
+Prize: X=575, Y=13307
+
+Button A: X+93, Y+15
+Button B: X+56, Y+55
+Prize: X=7024, Y=3845
+
+Button A: X+21, Y+53
+Button B: X+68, Y+24
+Prize: X=5268, Y=7924
+
+Button A: X+13, Y+51
+Button B: X+78, Y+27
+Prize: X=15733, Y=10982
+
+Button A: X+12, Y+79
+Button B: X+50, Y+11
+Prize: X=7094, Y=2854
+
+Button A: X+21, Y+83
+Button B: X+90, Y+69
+Prize: X=2607, Y=5143
+
+Button A: X+94, Y+16
+Button B: X+25, Y+54
+Prize: X=10271, Y=6474
+
+Button A: X+80, Y+14
+Button B: X+12, Y+69
+Prize: X=15888, Y=10392
+
+Button A: X+58, Y+37
+Button B: X+15, Y+54
+Prize: X=1422, Y=3573
+
+Button A: X+13, Y+28
+Button B: X+59, Y+29
+Prize: X=2235, Y=12810
+
+Button A: X+11, Y+32
+Button B: X+58, Y+13
+Prize: X=438, Y=6564
+
+Button A: X+14, Y+72
+Button B: X+93, Y+84
+Prize: X=4137, Y=7476
+
+Button A: X+63, Y+29
+Button B: X+27, Y+54
+Prize: X=4319, Y=1669
+
+Button A: X+86, Y+28
+Button B: X+30, Y+60
+Prize: X=5710, Y=2060
+
+Button A: X+15, Y+54
+Button B: X+52, Y+19
+Prize: X=9815, Y=1199
+
+Button A: X+24, Y+63
+Button B: X+57, Y+20
+Prize: X=16160, Y=12588
+
+Button A: X+19, Y+37
+Button B: X+57, Y+33
+Prize: X=2324, Y=15332
+
+Button A: X+25, Y+14
+Button B: X+31, Y+56
+Prize: X=7136, Y=17336
+
+Button A: X+66, Y+29
+Button B: X+25, Y+57
+Prize: X=13681, Y=16936
+
+Button A: X+36, Y+93
+Button B: X+84, Y+56
+Prize: X=6720, Y=11242
+
+Button A: X+92, Y+41
+Button B: X+18, Y+96
+Prize: X=1396, Y=1150
+
+Button A: X+12, Y+38
+Button B: X+63, Y+28
+Prize: X=19403, Y=12776
+
+Button A: X+72, Y+28
+Button B: X+13, Y+37
+Prize: X=5137, Y=3113
+
+Button A: X+90, Y+72
+Button B: X+91, Y+13
+Prize: X=5795, Y=2543
+
+Button A: X+28, Y+13
+Button B: X+31, Y+49
+Prize: X=16418, Y=9287
+
+Button A: X+17, Y+33
+Button B: X+64, Y+32
+Prize: X=11422, Y=2206
+
+Button A: X+71, Y+22
+Button B: X+16, Y+45
+Prize: X=2918, Y=7791
+
+Button A: X+15, Y+36
+Button B: X+55, Y+35
+Prize: X=7930, Y=7704
+
+Button A: X+57, Y+65
+Button B: X+95, Y+17
+Prize: X=11818, Y=4800
+
+Button A: X+22, Y+46
+Button B: X+33, Y+21
+Prize: X=1232, Y=1040
+
+Button A: X+34, Y+98
+Button B: X+85, Y+39
+Prize: X=7582, Y=9494
+
+Button A: X+63, Y+15
+Button B: X+15, Y+47
+Prize: X=13439, Y=17391
+
+Button A: X+20, Y+41
+Button B: X+38, Y+23
+Prize: X=2052, Y=10086
+
+Button A: X+14, Y+66
+Button B: X+84, Y+28
+Prize: X=16902, Y=10730
+
+Button A: X+27, Y+12
+Button B: X+17, Y+43
+Prize: X=9367, Y=12201
+
+Button A: X+30, Y+49
+Button B: X+40, Y+20
+Prize: X=8430, Y=10049
+
+Button A: X+82, Y+22
+Button B: X+46, Y+97
+Prize: X=3798, Y=4236
+
+Button A: X+56, Y+55
+Button B: X+94, Y+13
+Prize: X=6522, Y=5533
+
+Button A: X+39, Y+41
+Button B: X+59, Y+16
+Prize: X=4261, Y=3559
+
+Button A: X+59, Y+18
+Button B: X+11, Y+63
+Prize: X=15316, Y=10169
+
+Button A: X+59, Y+55
+Button B: X+20, Y+98
+Prize: X=375, Y=667
+
+Button A: X+11, Y+93
+Button B: X+64, Y+67
+Prize: X=6699, Y=14917
+
+Button A: X+13, Y+46
+Button B: X+48, Y+15
+Prize: X=1661, Y=1232
+
+Button A: X+36, Y+99
+Button B: X+85, Y+42
+Prize: X=2224, Y=3048
+
+Button A: X+11, Y+75
+Button B: X+28, Y+22
+Prize: X=2614, Y=6168
+
+Button A: X+21, Y+97
+Button B: X+94, Y+81
+Prize: X=7763, Y=8662
+
+Button A: X+34, Y+13
+Button B: X+26, Y+42
+Prize: X=8612, Y=15869
+
+Button A: X+39, Y+71
+Button B: X+31, Y+13
+Prize: X=19737, Y=5345
+
+Button A: X+21, Y+60
+Button B: X+75, Y+30
+Prize: X=10448, Y=18140
+
+Button A: X+24, Y+49
+Button B: X+47, Y+17
+Prize: X=7371, Y=12446
+
+Button A: X+56, Y+86
+Button B: X+94, Y+41
+Prize: X=3570, Y=4759
+
+Button A: X+14, Y+50
+Button B: X+54, Y+28
+Prize: X=19392, Y=1330
+
+Button A: X+20, Y+67
+Button B: X+52, Y+13
+Prize: X=1000, Y=3692
+
+Button A: X+14, Y+26
+Button B: X+50, Y+21
+Prize: X=7114, Y=9374
+
+Button A: X+19, Y+55
+Button B: X+39, Y+16
+Prize: X=15710, Y=8361
+
+Button A: X+56, Y+14
+Button B: X+63, Y+96
+Prize: X=4851, Y=3540
+
+Button A: X+33, Y+67
+Button B: X+54, Y+24
+Prize: X=5447, Y=1189
+
+Button A: X+39, Y+84
+Button B: X+89, Y+24
+Prize: X=10312, Y=8292
+
+Button A: X+51, Y+19
+Button B: X+53, Y+74
+Prize: X=4001, Y=3498
+
+Button A: X+67, Y+43
+Button B: X+11, Y+36
+Prize: X=4764, Y=9202
+
+Button A: X+21, Y+62
+Button B: X+54, Y+22
+Prize: X=4434, Y=2234
+
+Button A: X+89, Y+87
+Button B: X+24, Y+88
+Prize: X=6501, Y=7323
+
+Button A: X+54, Y+29
+Button B: X+28, Y+51
+Prize: X=13224, Y=17258
+
+Button A: X+62, Y+45
+Button B: X+39, Y+94
+Prize: X=4796, Y=9262
+
+Button A: X+45, Y+23
+Button B: X+12, Y+52
+Prize: X=11084, Y=11636
+
+Button A: X+22, Y+37
+Button B: X+48, Y+25
+Prize: X=5514, Y=11182
+
+Button A: X+15, Y+38
+Button B: X+75, Y+39
+Prize: X=16520, Y=17711
+
+Button A: X+78, Y+11
+Button B: X+49, Y+92
+Prize: X=9365, Y=6341
+
+Button A: X+98, Y+14
+Button B: X+13, Y+64
+Prize: X=5741, Y=2498
+
+Button A: X+13, Y+63
+Button B: X+61, Y+20
+Prize: X=13770, Y=14824
+
+Button A: X+21, Y+38
+Button B: X+62, Y+37
+Prize: X=17864, Y=15513
+
+Button A: X+24, Y+21
+Button B: X+15, Y+62
+Prize: X=1476, Y=4224
+
+Button A: X+16, Y+75
+Button B: X+52, Y+12
+Prize: X=468, Y=8849
+
+Button A: X+14, Y+41
+Button B: X+46, Y+22
+Prize: X=2040, Y=1353
+
+Button A: X+49, Y+16
+Button B: X+29, Y+54
+Prize: X=10446, Y=18614
+
+Button A: X+11, Y+69
+Button B: X+75, Y+18
+Prize: X=10963, Y=2327
+
+Button A: X+37, Y+64
+Button B: X+47, Y+20
+Prize: X=18201, Y=3324
+
+Button A: X+99, Y+14
+Button B: X+87, Y+75
+Prize: X=14862, Y=6177
+
+Button A: X+12, Y+58
+Button B: X+82, Y+33
+Prize: X=7438, Y=6507
+
+Button A: X+72, Y+13
+Button B: X+13, Y+79
+Prize: X=14160, Y=11952
+
+Button A: X+24, Y+55
+Button B: X+73, Y+39
+Prize: X=12196, Y=4761
+
+Button A: X+47, Y+28
+Button B: X+21, Y+52
+Prize: X=969, Y=9732
+
+Button A: X+57, Y+29
+Button B: X+15, Y+30
+Prize: X=17750, Y=13700
+
+Button A: X+40, Y+23
+Button B: X+13, Y+26
+Prize: X=13248, Y=14881
+
+Button A: X+68, Y+13
+Button B: X+85, Y+90
+Prize: X=9707, Y=6207
+
+Button A: X+47, Y+23
+Button B: X+19, Y+57
+Prize: X=2226, Y=13254
diff --git a/2024/13/test b/2024/13/test
@@ -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/2024/13/test-clean b/2024/13/test-clean
@@ -0,0 +1,15 @@
+94 34
+22 67
+8400 5400
+
+26 66
+67 21
+12748 12176
+
+17 86
+84 37
+7870 6450
+
+69 23
+27 71
+18641 10279
