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40
41 Oh, hello! Funny seeing you here.
42
43 I appreciate your enthusiasm, but you aren't going to find much down here.
44 There certainly aren't clues to any of the puzzles. The best surprises don=
45 't
46 even appear in the source until you unlock them for real.
47
48 Please be careful with automated requests; I'm not a massive company, and I=
49 can
50 only take so much traffic. Please be considerate so that everyone gets to =
51 play.
52
53 If you're curious about how Advent of Code works, it's running on some cust=
54 om
55 Perl code. Other than a few integrations (auth, analytics, social media), I
56 built the whole thing myself, including the design, animations, prose, and =
57 all
58 of the puzzles.
59
60 The puzzles are most of the work; preparing a new calendar and a new set of
61 puzzles each year takes all of my free time for 4-5 months. A lot of effort
62 went into building this thing - I hope you're enjoying playing it as much a=
63 s I
64 enjoyed making it for you!
65
66 If you'd like to hang out, I'm @ericwastl on Twitter.
67
68 - Eric Wastl
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153 <main>
154 <article class=3D"day-desc"><h2>--- Day 10: Cathode-Ray Tube ---</h2><p>You=
155 avoid the ropes, plunge into the river, and swim to shore.</p>
156 <p>The Elves yell something about meeting back up with them upriver, but th=
157 e river is too loud to tell exactly what they're saying. They finish crossi=
158 ng the bridge and disappear from view.</p>
159 <p>Situations like this must be why the Elves prioritized getting the commu=
160 nication system on your handheld device working. You pull it out of your pa=
161 ck, but the amount of water slowly draining from a big crack in its screen =
162 tells you it probably won't be of much immediate use.</p>
163 <p><em>Unless</em>, that is, you can design a replacement for the device's =
164 video system! It seems to be some kind of <a href=3D"https://en.wikipedia.o=
165 rg/wiki/Cathode-ray_tube" target=3D"_blank" rel=3D"noreferrer" data-ss16709=
166 25985=3D"1">cathode-ray tube</a> screen and simple CPU that are both driven=
167 by a precise <em>clock circuit</em>. The clock circuit ticks at a constant=
168 rate; each tick is called a <em>cycle</em>.</p>
169 <p>Start by figuring out the signal being sent by the CPU. The CPU has a si=
170 ngle register, <code>X</code>, which starts with the value <code>1</code>. =
171 It supports only two instructions:</p>
172 <ul>
173 <li><code>addx V</code> takes <em>two cycles</em> to complete. <em>After</e=
174 m> two cycles, the <code>X</code> register is increased by the value <code>=
175 V</code>. (<code>V</code> can be negative.)</li>
176 <li><code>noop</code> takes <em>one cycle</em> to complete. It has no other=
177 effect.</li>
178 </ul>
179 <p>The CPU uses these instructions in a program (your puzzle input) to, som=
180 ehow, tell the screen what to draw.</p>
181 <p>Consider the following small program:</p>
182 <pre><code>noop
183 addx 3
184 addx -5
185 </code></pre>
186 <p>Execution of this program proceeds as follows:</p>
187 <ul>
188 <li>At the start of the first cycle, the <code>noop</code> instruction begi=
189 ns execution. During the first cycle, <code>X</code> is <code>1</code>. Aft=
190 er the first cycle, the <code>noop</code> instruction finishes execution, d=
191 oing nothing.</li>
192 <li>At the start of the second cycle, the <code>addx 3</code> instruction b=
193 egins execution. During the second cycle, <code>X</code> is still <code>1</=
194 code>.</li>
195 <li>During the third cycle, <code>X</code> is still <code>1</code>. After t=
196 he third cycle, the <code>addx 3</code> instruction finishes execution, set=
197 ting <code>X</code> to <code>4</code>.</li>
198 <li>At the start of the fourth cycle, the <code>addx -5</code> instruction =
199 begins execution. During the fourth cycle, <code>X</code> is still <code>4<=
200 /code>.</li>
201 <li>During the fifth cycle, <code>X</code> is still <code>4</code>. After t=
202 he fifth cycle, the <code>addx -5</code> instruction finishes execution, se=
203 tting <code>X</code> to <code>-1</code>.</li>
204 </ul>
205 <p>Maybe you can learn something by looking at the value of the <code>X</co=
206 de> register throughout execution. For now, consider the <em>signal strengt=
207 h</em> (the cycle number multiplied by the value of the <code>X</code> regi=
208 ster) <em>during</em> the 20th cycle and every 40 cycles after that (that i=
209 s, during the 20th, 60th, 100th, 140th, 180th, and 220th cycles).</p>
210 <p>For example, consider this larger program:</p>
211 <pre><code>addx 15
212 addx -11
213 addx 6
214 addx -3
215 addx 5
216 addx -1
217 addx -8
218 addx 13
219 addx 4
220 noop
221 addx -1
222 addx 5
223 addx -1
224 addx 5
225 addx -1
226 addx 5
227 addx -1
228 addx 5
229 addx -1
230 addx -35
231 addx 1
232 addx 24
233 addx -19
234 addx 1
235 addx 16
236 addx -11
237 noop
238 noop
239 addx 21
240 addx -15
241 noop
242 noop
243 addx -3
244 addx 9
245 addx 1
246 addx -3
247 addx 8
248 addx 1
249 addx 5
250 noop
251 noop
252 noop
253 noop
254 noop
255 addx -36
256 noop
257 addx 1
258 addx 7
259 noop
260 noop
261 noop
262 addx 2
263 addx 6
264 noop
265 noop
266 noop
267 noop
268 noop
269 addx 1
270 noop
271 noop
272 addx 7
273 addx 1
274 noop
275 addx -13
276 addx 13
277 addx 7
278 noop
279 addx 1
280 addx -33
281 noop
282 noop
283 noop
284 addx 2
285 noop
286 noop
287 noop
288 addx 8
289 noop
290 addx -1
291 addx 2
292 addx 1
293 noop
294 addx 17
295 addx -9
296 addx 1
297 addx 1
298 addx -3
299 addx 11
300 noop
301 noop
302 addx 1
303 noop
304 addx 1
305 noop
306 noop
307 addx -13
308 addx -19
309 addx 1
310 addx 3
311 addx 26
312 addx -30
313 addx 12
314 addx -1
315 addx 3
316 addx 1
317 noop
318 noop
319 noop
320 addx -9
321 addx 18
322 addx 1
323 addx 2
324 noop
325 noop
326 addx 9
327 noop
328 noop
329 noop
330 addx -1
331 addx 2
332 addx -37
333 addx 1
334 addx 3
335 noop
336 addx 15
337 addx -21
338 addx 22
339 addx -6
340 addx 1
341 noop
342 addx 2
343 addx 1
344 noop
345 addx -10
346 noop
347 noop
348 addx 20
349 addx 1
350 addx 2
351 addx 2
352 addx -6
353 addx -11
354 noop
355 noop
356 noop
357 </code></pre>
358 <p>The interesting signal strengths can be determined as follows:</p>
359 <ul>
360 <li>During the 20th cycle, register <code>X</code> has the value <code>21</=
361 code>, so the signal strength is 20 * 21 =3D <em>420</em>. (The 20th cycle =
362 occurs in the middle of the second <code>addx -1</code>, so the value of re=
363 gister <code>X</code> is the starting value, <code>1</code>, plus all of th=
364 e other <code>addx</code> values up to that point: 1 + 15 - 11 + 6 - 3 + 5 =
365 - 1 - 8 + 13 + 4 =3D 21.)</li>
366 <li>During the 60th cycle, register <code>X</code> has the value <code>19</=
367 code>, so the signal strength is 60 * 19 =3D <code><em>1140</em></code>.</l=
368 i>
369 <li>During the 100th cycle, register <code>X</code> has the value <code>18<=
370 /code>, so the signal strength is 100 * 18 =3D <code><em>1800</em></code>.<=
371 /li>
372 <li>During the 140th cycle, register <code>X</code> has the value <code>21<=
373 /code>, so the signal strength is 140 * 21 =3D <code><em>2940</em></code>.<=
374 /li>
375 <li>During the 180th cycle, register <code>X</code> has the value <code>16<=
376 /code>, so the signal strength is 180 * 16 =3D <code><em>2880</em></code>.<=
377 /li>
378 <li>During the 220th cycle, register <code>X</code> has the value <code>18<=
379 /code>, so the signal strength is 220 * 18 =3D <code><em>3960</em></code>.<=
380 /li>
381 </ul>
382 <p>The sum of these signal strengths is <code><em>13140</em></code>.</p>
383 <p>Find the signal strength during the 20th, 60th, 100th, 140th, 180th, and=
384 220th cycles. <em>What is the sum of these six signal strengths?</em></p>
385 </article>
386 <p>Your puzzle answer was <code>15140</code>.</p><article class=3D"day-desc=
387 "><h2 id=3D"part2">--- Part Two ---</h2><p>It seems like the <code>X</code>=
388 register controls the horizontal position of a <a href=3D"https://en.wikip=
389 edia.org/wiki/Sprite_(computer_graphics)" target=3D"_blank" rel=3D"noreferr=
390 er" data-ss1670925985=3D"1">sprite</a>. Specifically, the sprite is 3 pixel=
391 s wide, and the <code>X</code> register sets the horizontal position of the=
392 <em>middle</em> of that sprite. (In this system, there is no such thing as=
393 "vertical position": if the sprite's horizontal position puts its pixels w=
394 here the CRT is currently drawing, then those pixels will be drawn.)</p>
395 <p>You count the pixels on the CRT: 40 wide and 6 high. This CRT screen dra=
396 ws the top row of pixels left-to-right, then the row below that, and so on.=
397 The left-most pixel in each row is in position <code>0</code>, and the rig=
398 ht-most pixel in each row is in position <code>39</code>.</p>
399 <p>Like the CPU, the CRT is tied closely to the clock circuit: the CRT draw=
400 s <em>a single pixel during each cycle</em>. Representing each pixel of the=
401 screen as a <code>#</code>, here are the cycles during which the first and=
402 last pixel in each row are drawn:</p>
403 <pre><code>Cycle 1 -&gt; <em>#</em>######################################=
404 <em>#</em> &lt;- Cycle 40
405 Cycle 41 -&gt; <em>#</em>######################################<em>#</em> =
406 &lt;- Cycle 80
407 Cycle 81 -&gt; <em>#</em>######################################<em>#</em> =
408 &lt;- Cycle 120
409 Cycle 121 -&gt; <em>#</em>######################################<em>#</em> =
410 &lt;- Cycle 160
411 Cycle 161 -&gt; <em>#</em>######################################<em>#</em> =
412 &lt;- Cycle 200
413 Cycle 201 -&gt; <em>#</em>######################################<em>#</em> =
414 &lt;- Cycle 240
415 </code></pre>
416 <p>So, by <a href=3D"https://en.wikipedia.org/wiki/Racing_the_Beam" target=
417 =3D"_blank" rel=3D"noreferrer" data-ss1670925985=3D"1">carefully</a> <a hre=
418 f=3D"https://www.youtube.com/watch?v=3DsJFnWZH5FXc" target=3D"_blank" rel=
419 =3D"noreferrer" data-ss1670925985=3D"1"><span title=3D"While you're at it, =
420 go watch everything else by Retro Game Mechanics Explained, too.">timing</s=
421 pan></a> the CPU instructions and the CRT drawing operations, you should be=
422 able to determine whether the sprite is visible the instant each pixel is =
423 drawn. If the sprite is positioned such that one of its three pixels is the=
424 pixel currently being drawn, the screen produces a <em>lit</em> pixel (<co=
425 de>#</code>); otherwise, the screen leaves the pixel <em>dark</em> (<code>.=
426 </code>).
427 </p><p>The first few pixels from the larger example above are drawn as foll=
428 ows:</p>
429 <pre><code>Sprite position: ###.....................................
430
431 Start cycle 1: begin executing addx 15
432 During cycle 1: CRT draws pixel in position 0
433 Current CRT row: #
434
435 During cycle 2: CRT draws pixel in position 1
436 Current CRT row: ##
437 End of cycle 2: finish executing addx 15 (Register X is now 16)
438 Sprite position: ...............###......................
439
440 Start cycle 3: begin executing addx -11
441 During cycle 3: CRT draws pixel in position 2
442 Current CRT row: ##.
443
444 During cycle 4: CRT draws pixel in position 3
445 Current CRT row: ##..
446 End of cycle 4: finish executing addx -11 (Register X is now 5)
447 Sprite position: ....###.................................
448
449 Start cycle 5: begin executing addx 6
450 During cycle 5: CRT draws pixel in position 4
451 Current CRT row: ##..#
452
453 During cycle 6: CRT draws pixel in position 5
454 Current CRT row: ##..##
455 End of cycle 6: finish executing addx 6 (Register X is now 11)
456 Sprite position: ..........###...........................
457
458 Start cycle 7: begin executing addx -3
459 During cycle 7: CRT draws pixel in position 6
460 Current CRT row: ##..##.
461
462 During cycle 8: CRT draws pixel in position 7
463 Current CRT row: ##..##..
464 End of cycle 8: finish executing addx -3 (Register X is now 8)
465 Sprite position: .......###..............................
466
467 Start cycle 9: begin executing addx 5
468 During cycle 9: CRT draws pixel in position 8
469 Current CRT row: ##..##..#
470
471 During cycle 10: CRT draws pixel in position 9
472 Current CRT row: ##..##..##
473 End of cycle 10: finish executing addx 5 (Register X is now 13)
474 Sprite position: ............###.........................
475
476 Start cycle 11: begin executing addx -1
477 During cycle 11: CRT draws pixel in position 10
478 Current CRT row: ##..##..##.
479
480 During cycle 12: CRT draws pixel in position 11
481 Current CRT row: ##..##..##..
482 End of cycle 12: finish executing addx -1 (Register X is now 12)
483 Sprite position: ...........###..........................
484
485 Start cycle 13: begin executing addx -8
486 During cycle 13: CRT draws pixel in position 12
487 Current CRT row: ##..##..##..#
488
489 During cycle 14: CRT draws pixel in position 13
490 Current CRT row: ##..##..##..##
491 End of cycle 14: finish executing addx -8 (Register X is now 4)
492 Sprite position: ...###..................................
493
494 Start cycle 15: begin executing addx 13
495 During cycle 15: CRT draws pixel in position 14
496 Current CRT row: ##..##..##..##.
497
498 During cycle 16: CRT draws pixel in position 15
499 Current CRT row: ##..##..##..##..
500 End of cycle 16: finish executing addx 13 (Register X is now 17)
501 Sprite position: ................###.....................
502
503 Start cycle 17: begin executing addx 4
504 During cycle 17: CRT draws pixel in position 16
505 Current CRT row: ##..##..##..##..#
506
507 During cycle 18: CRT draws pixel in position 17
508 Current CRT row: ##..##..##..##..##
509 End of cycle 18: finish executing addx 4 (Register X is now 21)
510 Sprite position: ....................###.................
511
512 Start cycle 19: begin executing noop
513 During cycle 19: CRT draws pixel in position 18
514 Current CRT row: ##..##..##..##..##.
515 End of cycle 19: finish executing noop
516
517 Start cycle 20: begin executing addx -1
518 During cycle 20: CRT draws pixel in position 19
519 Current CRT row: ##..##..##..##..##..
520
521 During cycle 21: CRT draws pixel in position 20
522 Current CRT row: ##..##..##..##..##..#
523 End of cycle 21: finish executing addx -1 (Register X is now 20)
524 Sprite position: ...................###..................
525 </code></pre>
526 <p>Allowing the program to run to completion causes the CRT to produce the =
527 following image:</p>
528 <pre><code>##..##..##..##..##..##..##..##..##..##..
529 ###...###...###...###...###...###...###.
530 ####....####....####....####....####....
531 #####.....#####.....#####.....#####.....
532 ######......######......######......####
533 #######.......#######.......#######.....
534 </code></pre>
535 <p>Render the image given by your program. <em>What eight capital letters a=
536 ppear on your CRT?</em></p>
537 </article>
538 <p>Your puzzle answer was <code>BPJAZGAP</code>.</p><p class=3D"day-success=
539 ">Both parts of this puzzle are complete! They provide two gold stars: **</=
540 p>
541 <p>At this point, you should <a href=3D"https://adventofcode.com/2022" data=
542 -ss1670925985=3D"1">return to your Advent calendar</a> and try another puzz=
543 le.</p>
544 <p>If you still want to see it, you can <a href=3D"https://adventofcode.com=
545 /2022/day/10/input" target=3D"_blank" data-ss1670925985=3D"1">get your puzz=
546 le input</a>.</p>
547 <p>You can also <span class=3D"share">[Share<span class=3D"share-content">o=
548 n
549 <a href=3D"https://twitter.com/intent/tweet?text=3DI%27ve+completed+%22Ca=
550 thode%2DRay+Tube%22+%2D+Day+10+%2D+Advent+of+Code+2022&amp;url=3Dhttps%3A%2=
551 F%2Fadventofcode%2Ecom%2F2022%2Fday%2F10&amp;related=3Dericwastl&amp;hashta=
552 gs=3DAdventOfCode" target=3D"_blank" rel=3D"noreferrer" data-ss1670925985=
553 =3D"1">Twitter</a>
554 <a target=3D"_blank" rel=3D"noreferrer" data-ss1670925985=3D"1">Mastodon<=
555 /a></span>]</span> this puzzle.</p>
556 </main>
557
558 <!-- ga -->
559
560 <!-- /ga -->
561
562 </body></html>
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599
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