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const std = @import("std"); |
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|
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// Although this function looks imperative, note that its job is to |
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// declaratively construct a build graph that will be executed by an external |
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// runner. |
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pub fn build(b: *std.Build) void { |
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// Standard target options allows the person running `zig build` to choose |
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// what target to build for. Here we do not override the defaults, which |
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// means any target is allowed, and the default is native. Other options |
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// for restricting supported target set are available. |
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const target = b.standardTargetOptions(.{}); |
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|
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// Standard optimization options allow the person running `zig build` to select |
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// between Debug, ReleaseSafe, ReleaseFast, and ReleaseSmall. Here we do not |
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// set a preferred release mode, allowing the user to decide how to optimize. |
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const optimize = b.standardOptimizeOption(.{}); |
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|
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const exe = b.addExecutable(.{ |
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.name = "day24-easy", |
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// In this case the main source file is merely a path, however, in more |
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// complicated build scripts, this could be a generated file. |
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.root_source_file = .{ .path = "src/main.zig" }, |
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.target = target, |
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.optimize = optimize, |
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}); |
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|
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// This declares intent for the executable to be installed into the |
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// standard location when the user invokes the "install" step (the default |
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// step when running `zig build`). |
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b.installArtifact(exe); |
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|
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// This *creates* a Run step in the build graph, to be executed when another |
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// step is evaluated that depends on it. The next line below will establish |
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// such a dependency. |
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const run_cmd = b.addRunArtifact(exe); |
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|
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// By making the run step depend on the install step, it will be run from the |
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// installation directory rather than directly from within the cache directory. |
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// This is not necessary, however, if the application depends on other installed |
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// files, this ensures they will be present and in the expected location. |
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run_cmd.step.dependOn(b.getInstallStep()); |
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|
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// This allows the user to pass arguments to the application in the build |
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// command itself, like this: `zig build run -- arg1 arg2 etc` |
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if (b.args) |args| { |
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run_cmd.addArgs(args); |
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} |
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|
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// This creates a build step. It will be visible in the `zig build --help` menu, |
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// and can be selected like this: `zig build run` |
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// This will evaluate the `run` step rather than the default, which is "install". |
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const run_step = b.step("run", "Run the app"); |
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run_step.dependOn(&run_cmd.step); |
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|
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// Creates a step for unit testing. This only builds the test executable |
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// but does not run it. |
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const unit_tests = b.addTest(.{ |
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.root_source_file = .{ .path = "src/main.zig" }, |
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.target = target, |
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.optimize = optimize, |
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}); |
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|
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const run_unit_tests = b.addRunArtifact(unit_tests); |
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|
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// Similar to creating the run step earlier, this exposes a `test` step to |
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// the `zig build --help` menu, providing a way for the user to request |
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// running the unit tests. |
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const test_step = b.step("test", "Run unit tests"); |
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test_step.dependOn(&run_unit_tests.step); |
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} |
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@ -0,0 +1,301 @@ |
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266451172849762, 167755695252392, 311520767079681 @ -137, 142, 30 |
||||
263519107877516, 377602753401470, 287347285988531 @ -120, -83, 52 |
||||
332999742107231, 296940351010324, 92141170299094 @ -69, -49, 431 |
||||
438366527906854, 375545401928802, 487377337879179 @ -298, -195, -376 |
||||
406358374840474, 254936333841958, 236219231607151 @ 92, -26, 207 |
||||
177175227803066, 404182655437704, 39505448036189 @ 112, -191, 428 |
||||
330867273686662, 239980059316676, 260411984238785 @ 32, 77, 61 |
||||
359677373677451, 400839040597194, 255039143627771 @ -105, -307, 80 |
||||
308185196445801, 383509033989592, 77955699427429 @ -5, -245, 474 |
||||
346245979219652, 80809916466234, 374001682834457 @ 83, 688, -382 |
||||
201258569999502, 378066653586832, 406219616846161 @ 128, -178, -190 |
||||
145076119863526, 319821294251302, 315678552432493 @ 70, -34, 8 |
||||
356714124329066, 311961375460764, 165868328765549 @ -62, -121, 322 |
||||
324610616006643, 257549413990302, 265875369603904 @ 97, 21, 39 |
||||
105595504927318, 276354596080458, 349920077884107 @ 134, 21, -40 |
||||
404202446877986, 342335629663644, 359500619847449 @ -204, -181, -182 |
||||
397862037520494, 228296168014236, 113267297610263 @ -82, 135, 688 |
||||
401334151379056, 355179757322464, 496345849150189 @ -221, -163, -412 |
||||
455160135943041, 416020055225069, 478237633141809 @ -331, -236, -306 |
||||
280149964482584, 393889541798430, 260139147294329 @ -13, -208, 74 |
||||
290734909608806, 321836159927316, 195123004584785 @ -60, -64, 183 |
||||
350760823472473, 430559698017442, 362327994089754 @ -197, -175, -51 |
||||
258839444803333, 359307272174162, 491040464305920 @ -101, -71, -189 |
||||
438852036816038, 234662011691490, 230447917164767 @ -154, 176, 303 |
||||
319019287398668, 116780954839674, 124625877397421 @ 99, 468, 488 |
||||
352917393750542, 374422600929240, 331383505608641 @ -152, -164, -50 |
||||
195344845860214, 301121886409204, 332964776613930 @ 38, -17, -25 |
||||
400522757703600, 308426702399630, 196988468040207 @ -161, -136, 257 |
||||
284703994903406, 285213238709084, 384924770280109 @ -36, -7, -141 |
||||
362232770762533, 530818901488834, 343940129727285 @ -217, -287, -22 |
||||
45157694746670, 320876742566838, 375111995820257 @ 138, -24, -50 |
||||
289981591630079, 268210148916372, 256460299333274 @ 7, 15, 79 |
||||
331311259361931, 87468879551434, 251328459377219 @ 7, 493, 88 |
||||
255647357313974, 117174591735492, 264243000879137 @ 144, 367, 58 |
||||
39001138288358, 114608685277716, 247611338464993 @ 216, 234, 96 |
||||
78345398144248, 340057542653440, 372356987549459 @ 128, -53, -56 |
||||
424107853080798, 240875316375644, 320063937315273 @ 101, 118, -909 |
||||
156344745449478, 302595795634244, 241698220535297 @ 31, -7, 103 |
||||
259179525889580, 255577897264032, 245657998679240 @ 176, 35, 103 |
||||
210437756820600, 308843950567838, 334302104162039 @ -29, -16, -11 |
||||
304722473056688, 167943309812562, 245775315224337 @ 27, 246, 102 |
||||
248122674393056, 235916327443281, 327786852013169 @ -120, 72, 14 |
||||
277043010072101, 123245559791018, 410107190763725 @ -105, 217, -110 |
||||
366478985554055, 303131976216915, 315679631866466 @ -93, -94, -85 |
||||
137462543579714, 193702341645138, 279591949608261 @ 24, 120, 60 |
||||
326574684867086, 300236980784568, 384613730429168 @ 30, -93, -287 |
||||
315741107573126, 240787447589859, 243709950017684 @ 54, 74, 109 |
||||
355983983336914, 231680004259508, 342129249097317 @ -119, 91, -105 |
||||
404485560780974, 268790246483668, 317108024873793 @ -159, -19, -138 |
||||
419149424470741, 226367239846582, 244911238158061 @ -95, 185, 122 |
||||
407961452161350, 418167010527684, 231986081894817 @ -88, -837, 183 |
||||
67044622101206, 292746298461236, 438291405083389 @ 90, 11, -111 |
||||
274658774358620, 321359106006246, 308958759350345 @ 67, -106, -38 |
||||
173007315404390, 264144818818980, 34813586299265 @ 164, 29, 470 |
||||
102839643978206, 304673187492884, 348410364511329 @ 81, -7, -22 |
||||
354380589155632, 388319481114849, 286851917289450 @ -152, -192, 27 |
||||
96907155993854, 281599092045428, 384838864876129 @ 39, 25, -46 |
||||
291523929178939, 384166057783565, 354070361522453 @ -13, -208, -110 |
||||
345463466774126, 269347673310984, 253030914846059 @ 34, -19, 81 |
||||
249599421151031, 394069474260792, 366619266165953 @ 5, -181, -98 |
||||
394927184083574, 236003527736340, 249133632375809 @ -44, 105, 94 |
||||
362710918466496, 490756620149074, 390801202288303 @ -175, -352, -145 |
||||
220642186771519, 81912509824171, 355772958887750 @ -47, 260, -35 |
||||
367491008763696, 250945847161850, 440745640166155 @ -175, 52, -247 |
||||
409446291207698, 330788391219960, 292713233046131 @ -12, -543, -213 |
||||
265825149596573, 244764814652484, 385353795717239 @ -39, 63, -116 |
||||
86994969742866, 55589210487038, 266168402419143 @ 80, 274, 75 |
||||
320921915321526, 254694248869940, 238822296842297 @ 20, 37, 121 |
||||
179360093396906, 300619763168811, 350320133311184 @ 10, -6, -31 |
||||
16801569357148, 350089851801349, 165789472544968 @ 148, -52, 185 |
||||
433009745308238, 267184125912896, 273312821311953 @ -48, -230, -222 |
||||
309970609487918, 492679271429412, 562469959691093 @ -162, -225, -270 |
||||
330256938537206, 202170127764104, 344108272059359 @ -114, 137, -71 |
||||
213152807168420, 273421736762004, 323641629860561 @ 7, 23, -10 |
||||
172814593254919, 102501683328829, 247297979068407 @ -23, 218, 96 |
||||
219063685290956, 245608985586714, 349589973549179 @ -51, 62, -25 |
||||
430972008921002, 276609779270530, 253785144061591 @ -198, -115, 68 |
||||
141649807653506, 439100473497764, 78375461552199 @ 108, -209, 333 |
||||
312663199862950, 493743864927560, 363529412231925 @ -98, -344, -93 |
||||
423775394632430, 316536435784716, 224041240411841 @ -163, -326, 230 |
||||
327003532119926, 456110225504124, 400015395503489 @ -100, -318, -178 |
||||
435439277730906, 246965061962354, 245922460626269 @ -8, 26, 148 |
||||
283854002218376, 234052132379684, 271898082205509 @ -75, 79, 60 |
||||
208829340415406, 226635123507144, 482805207137969 @ -86, 81, -138 |
||||
349118117289530, 297778463181064, 357393083055225 @ -141, -32, -100 |
||||
299777008641782, 223081277864628, 246108022591457 @ -23, 106, 100 |
||||
438922841832386, 250584839183004, 267893924213549 @ -77, -31, -209 |
||||
438166800949636, 330151804608232, 277338384714133 @ -245, -379, -52 |
||||
420579599545694, 243376742146548, 280885790949095 @ -134, 71, -89 |
||||
258938745011974, 234495963857860, 323177451263361 @ 32, 82, -43 |
||||
36448776939491, 418742104071604, 231340500503399 @ 93, -113, 112 |
||||
404233472314214, 421003477346676, 157922394665657 @ -102, -735, 507 |
||||
418557987222777, 382699811698471, 419900143401830 @ -161, -584, -707 |
||||
232576226848342, 10003025240182, 203381334758715 @ 262, 689, 216 |
||||
255015067009391, 261956436770199, 352283365082099 @ -63, 40, -44 |
||||
169534023774211, 286707269739714, 329134981894044 @ 37, 9, -9 |
||||
299376592913146, 402426294254590, 407612010835957 @ -140, -130, -100 |
||||
215005453311763, 469310214941092, 228082501098752 @ -91, -161, 115 |
||||
65509617858912, 478414643265824, 223736911874359 @ 53, -167, 119 |
||||
290296833488420, 405978755186600, 456496601688775 @ -63, -199, -243 |
||||
83587437987463, 176759381379671, 129955793868008 @ 221, 164, 271 |
||||
304597538450668, 82725932045064, 153572240068869 @ 31, 453, 324 |
||||
228877113530886, 334430535336004, 330141973131265 @ 35, -82, -37 |
||||
353863067391134, 267957912015969, 257969098038089 @ 126, -42, 54 |
||||
206869829642681, 263886870857978, 400371713273807 @ -45, 41, -80 |
||||
132676076258186, 168321498105084, 311987025981449 @ 49, 153, 20 |
||||
411199564272509, 257136439666427, 222473651711960 @ -81, -8, 247 |
||||
201361581214124, 268475095057634, 370530268050177 @ -63, 38, -34 |
||||
@ -0,0 +1,6 @@ |
||||
7 27 7 27 |
||||
19, 13, 30 @ -2, 1, -2 |
||||
18, 19, 22 @ -1, -1, -2 |
||||
20, 25, 34 @ -2, -2, -4 |
||||
12, 31, 28 @ -1, -2, -1 |
||||
20, 19, 15 @ 1, -5, -3 |
||||
@ -0,0 +1,274 @@ |
||||
const std = @import("std"); |
||||
|
||||
fn StackList(comptime T: type, comptime capacity_type: type, comptime capacity: capacity_type) type { |
||||
return struct { |
||||
const Self = @This(); |
||||
mem: [capacity]T, |
||||
length: capacity_type, |
||||
|
||||
fn add(self: *Self, value: T) void { |
||||
self.mem[self.length] = value; |
||||
self.length += 1; |
||||
} |
||||
|
||||
fn has(self: *Self, needle: T) bool { |
||||
for (0..self.length) |i| { |
||||
if (self.mem[i] == needle) { |
||||
return true; |
||||
} |
||||
} |
||||
|
||||
return false; |
||||
} |
||||
|
||||
fn getMutableSlice(self: *Self) []T { |
||||
return (&self.mem)[0..self.length]; |
||||
} |
||||
|
||||
fn getSlice(self: *const Self) []const T { |
||||
return self.mem[0..self.length]; |
||||
} |
||||
|
||||
fn init() Self { |
||||
return Self{ |
||||
.mem = undefined, |
||||
.length = 0, |
||||
}; |
||||
} |
||||
}; |
||||
} |
||||
|
||||
fn readNumber(comptime T: type, line: []const u8, index: *usize) T { |
||||
var result: T = 0; |
||||
while (index.* < line.len and line[index.*] == ' ') : (index.* += 1) {} |
||||
|
||||
var is_negative = false; |
||||
if (index.* < line.len and line[index.*] == '-') { |
||||
is_negative = true; |
||||
index.* += 1; |
||||
} |
||||
|
||||
std.debug.assert(index.* < line.len); |
||||
|
||||
while (index.* < line.len) : (index.* += 1) { |
||||
const char = line[index.*]; |
||||
switch (char) { |
||||
'0'...'9' => { |
||||
result = result * 10 + (char - '0'); |
||||
}, |
||||
else => { |
||||
break; |
||||
}, |
||||
} |
||||
} |
||||
|
||||
return if (is_negative) (0 - result) else result; |
||||
} |
||||
|
||||
const Hailstone = struct { |
||||
initial_x: i64, |
||||
initial_y: i64, |
||||
initial_z: i64, |
||||
velocity_x: i16, |
||||
velocity_y: i16, |
||||
velocity_z: i16, |
||||
}; |
||||
|
||||
const RationalNumber = struct { |
||||
numerator: i128, |
||||
denominator: i64, |
||||
|
||||
fn init(numerator: i128, denominator: i64) RationalNumber { |
||||
std.debug.assert(denominator != 0); |
||||
|
||||
if (denominator < 0) { |
||||
return .{ |
||||
.numerator = -numerator, |
||||
.denominator = -denominator, |
||||
}; |
||||
} |
||||
|
||||
return .{ |
||||
.numerator = numerator, |
||||
.denominator = denominator, |
||||
}; |
||||
} |
||||
|
||||
fn isNonNegative(self: *const RationalNumber) bool { |
||||
return self.numerator >= 0; |
||||
} |
||||
|
||||
fn isIn(self: *const RationalNumber, first: i64, last: i64) bool { |
||||
return first * @as(i128, self.denominator) <= self.numerator and self.numerator <= last * @as(i128, self.denominator); |
||||
} |
||||
}; |
||||
|
||||
const ProjectionIntersection = struct { |
||||
x: RationalNumber, |
||||
y: RationalNumber, |
||||
time_first: RationalNumber, |
||||
time_second: RationalNumber, |
||||
}; |
||||
|
||||
const TestArea = struct { |
||||
x_first: i64, |
||||
x_last: i64, |
||||
y_first: i64, |
||||
y_last: i64, |
||||
}; |
||||
|
||||
fn getProjectionIntersection(a: Hailstone, b: Hailstone) ?ProjectionIntersection { |
||||
if (@as(i32, a.velocity_x) * @as(i32, b.velocity_y) == @as(i32, a.velocity_y) * @as(i32, b.velocity_x)) { |
||||
// projections of paths are parallel |
||||
|
||||
if (@as(i128, a.initial_x - b.initial_x) * a.velocity_y == @as(i128, a.initial_y - b.initial_y) * a.velocity_x) { |
||||
// both paths are on the same line, the puzzle does not document this behavior |
||||
unreachable; |
||||
} else { |
||||
// paths are on different parallel lines, and never intersect |
||||
return null; |
||||
} |
||||
} |
||||
|
||||
// set of linearly independent equations: |
||||
// t1 * a.velocity_x - t2 * b.velocity_x = b.initial_x - a.initial_x |
||||
// t1 * a.velocity_y - t2 * b.velocity_y = b.initial_y - a.initial_y |
||||
|
||||
const determinant = -@as(i64, a.velocity_x) * b.velocity_y + @as(i64, a.velocity_y) * b.velocity_x; |
||||
const dt1 = -@as(i128, b.initial_x - a.initial_x) * b.velocity_y + @as(i128, b.initial_y - a.initial_y) * b.velocity_x; |
||||
const dt2 = a.velocity_x * @as(i128, b.initial_y - a.initial_y) - a.velocity_y * @as(i128, b.initial_x - a.initial_x); |
||||
|
||||
const t1 = RationalNumber.init(dt1, determinant); |
||||
const t2 = RationalNumber.init(dt2, determinant); |
||||
const ax = RationalNumber.init(@as(i128, a.initial_x) * determinant + a.velocity_x * dt1, determinant); |
||||
const ay = RationalNumber.init(@as(i128, a.initial_y) * determinant + a.velocity_y * dt1, determinant); |
||||
const bx = RationalNumber.init(@as(i128, b.initial_x) * determinant + b.velocity_x * dt2, determinant); |
||||
const by = RationalNumber.init(@as(i128, b.initial_y) * determinant + b.velocity_y * dt2, determinant); |
||||
std.debug.assert(ax.numerator == bx.numerator); |
||||
std.debug.assert(ay.numerator == by.numerator); |
||||
|
||||
return .{ |
||||
.x = ax, |
||||
.y = ay, |
||||
.time_first = t1, |
||||
.time_second = t2, |
||||
}; |
||||
} |
||||
|
||||
fn solveForHailstones(hailstones: []const Hailstone, test_area: TestArea) usize { |
||||
var result: usize = 0; |
||||
for (0..hailstones.len) |i| { |
||||
for (0..i) |j| { |
||||
if (getProjectionIntersection(hailstones[i], hailstones[j])) |intersection| { |
||||
if (intersection.time_first.isNonNegative() and intersection.time_second.isNonNegative() and intersection.x.isIn(test_area.x_first, test_area.x_last) and intersection.y.isIn(test_area.y_first, test_area.y_last)) { |
||||
//std.debug.print("found intersection for {d} and {d}\n", .{ i, j }); |
||||
result += 1; |
||||
} |
||||
} |
||||
} |
||||
} |
||||
return result; |
||||
} |
||||
|
||||
fn parseFirstLine(line: []const u8) TestArea { |
||||
var i: usize = 0; |
||||
var x_first = readNumber(i64, line, &i); |
||||
|
||||
i += 1; |
||||
var x_last = readNumber(i64, line, &i); |
||||
|
||||
i += 1; |
||||
var y_first = readNumber(i64, line, &i); |
||||
|
||||
i += 1; |
||||
var y_last = readNumber(i64, line, &i); |
||||
|
||||
std.debug.assert(i >= line.len); |
||||
|
||||
return .{ |
||||
.x_first = x_first, |
||||
.x_last = x_last, |
||||
.y_first = y_first, |
||||
.y_last = y_last, |
||||
}; |
||||
} |
||||
|
||||
fn parseLine(line: []const u8) Hailstone { |
||||
var i: usize = 0; |
||||
var initial_x = readNumber(i64, line, &i); |
||||
|
||||
i += 1; |
||||
var initial_y = readNumber(i64, line, &i); |
||||
|
||||
i += 1; |
||||
var initial_z = readNumber(i64, line, &i); |
||||
|
||||
i += 2; |
||||
var velocity_x = readNumber(i16, line, &i); |
||||
|
||||
i += 1; |
||||
var velocity_y = readNumber(i16, line, &i); |
||||
|
||||
i += 1; |
||||
var velocity_z = readNumber(i16, line, &i); |
||||
|
||||
std.debug.assert(i >= line.len); |
||||
|
||||
return .{ |
||||
.initial_x = initial_x, |
||||
.initial_y = initial_y, |
||||
.initial_z = initial_z, |
||||
.velocity_x = velocity_x, |
||||
.velocity_y = velocity_y, |
||||
.velocity_z = velocity_z, |
||||
}; |
||||
} |
||||
|
||||
fn solveLines(lines: []const []const u8) usize { |
||||
var hailstones_list = StackList(Hailstone, usize, 400).init(); |
||||
|
||||
const test_area = parseFirstLine(lines[0]); |
||||
|
||||
for (lines[1..]) |line| { |
||||
hailstones_list.add(parseLine(line)); |
||||
} |
||||
|
||||
return solveForHailstones(hailstones_list.getSlice(), test_area); |
||||
} |
||||
|
||||
pub fn solveAll(reader: anytype) !usize { |
||||
var result: usize = 0; |
||||
while (true) { |
||||
var allocator_buffer: [50000]u8 = undefined; |
||||
var fba = std.heap.FixedBufferAllocator.init(&allocator_buffer); |
||||
var allocator = fba.allocator(); |
||||
|
||||
var lines = StackList([]u8, usize, 1500).init(); |
||||
var empty_line_reached = false; |
||||
|
||||
var line_buffer: [1000]u8 = undefined; |
||||
while (try reader.readUntilDelimiterOrEof(&line_buffer, '\n')) |line| { |
||||
if (line.len == 0) { |
||||
empty_line_reached = true; |
||||
break; |
||||
} |
||||
lines.add(try allocator.dupe(u8, line)); |
||||
} |
||||
|
||||
result += solveLines(lines.getSlice()); |
||||
|
||||
if (!empty_line_reached) { |
||||
return result; |
||||
} |
||||
} |
||||
} |
||||
|
||||
pub fn main() !void { |
||||
const stdout = std.io.getStdOut().writer(); |
||||
|
||||
const raw_in = std.io.getStdIn(); |
||||
var buffered_reader = std.io.bufferedReader(raw_in.reader()); |
||||
var reader = buffered_reader.reader(); |
||||
const result = try solveAll(&reader); |
||||
try stdout.print("{d}\n", .{result}); |
||||
} |
||||
Loading…
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