2 Snapshot-Content-Location: https://adventofcode.com/
2022/day/
10
3 Subject: Day
10 - Advent of Code
2022
4 Date: Tue,
13 Dec
2022 10:
06:
52 -
0000
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26 <title>Day
10 - Advent of Code
2022</title>
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41 Oh, hello! Funny seeing you here.
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=
46 even appear in the source until you unlock them for real.
48 Please be careful with automated requests; I'm not a massive company, and I=
50 only take so much traffic. Please be considerate so that everyone gets to =
53 If you're curious about how Advent of Code works, it's running on some cust=
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 =
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=
64 enjoyed making it for you!
66 If you'd like to hang out, I'm @ericwastl on Twitter.
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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>
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=
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>
186 <p>Execution of this program proceeds as follows:
</p>
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=
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</=
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<=
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>
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>
358 <p>The interesting signal strengths can be determined as follows:
</p>
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=
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>.<=
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>.<=
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>.<=
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>.<=
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>
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 -
> <em>#
</em>######################################=
404 <em>#
</em> <- Cycle
40
405 Cycle
41 -
> <em>#
</em>######################################
<em>#
</em> =
407 Cycle
81 -
> <em>#
</em>######################################
<em>#
</em> =
409 Cycle
121 -
> <em>#
</em>######################################
<em>#
</em> =
411 Cycle
161 -
> <em>#
</em>######################################
<em>#
</em> =
413 Cycle
201 -
> <em>#
</em>######################################
<em>#
</em> =
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>.=
427 </p><p>The first few pixels from the larger example above are drawn as foll=
429 <pre><code>Sprite position: ###.....................................
431 Start cycle
1: begin executing addx
15
432 During cycle
1: CRT draws pixel in position
0
435 During cycle
2: CRT draws pixel in position
1
437 End of cycle
2: finish executing addx
15 (Register X is now
16)
438 Sprite position: ...............###......................
440 Start cycle
3: begin executing addx -
11
441 During cycle
3: CRT draws pixel in position
2
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: ....###.................................
449 Start cycle
5: begin executing addx
6
450 During cycle
5: CRT draws pixel in position
4
451 Current CRT row: ##..#
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: ..........###...........................
458 Start cycle
7: begin executing addx -
3
459 During cycle
7: CRT draws pixel in position
6
460 Current CRT row: ##..##.
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: .......###..............................
467 Start cycle
9: begin executing addx
5
468 During cycle
9: CRT draws pixel in position
8
469 Current CRT row: ##..##..#
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: ............###.........................
476 Start cycle
11: begin executing addx -
1
477 During cycle
11: CRT draws pixel in position
10
478 Current CRT row: ##..##..##.
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: ...........###..........................
485 Start cycle
13: begin executing addx -
8
486 During cycle
13: CRT draws pixel in position
12
487 Current CRT row: ##..##..##..#
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: ...###..................................
494 Start cycle
15: begin executing addx
13
495 During cycle
15: CRT draws pixel in position
14
496 Current CRT row: ##..##..##..##.
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: ................###.....................
503 Start cycle
17: begin executing addx
4
504 During cycle
17: CRT draws pixel in position
16
505 Current CRT row: ##..##..##..##..#
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: ....................###.................
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
517 Start cycle
20: begin executing addx -
1
518 During cycle
20: CRT draws pixel in position
19
519 Current CRT row: ##..##..##..##..##..
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: ...................###..................
526 <p>Allowing the program to run to completion causes the CRT to produce the =
528 <pre><code>##..##..##..##..##..##..##..##..##..##..
529 ###...###...###...###...###...###...###.
530 ####....####....####....####....####....
531 #####.....#####.....#####.....#####.....
532 ######......######......######......####
533 #######.......#######.......#######.....
535 <p>Render the image given by your program.
<em>What eight capital letters a=
536 ppear on your CRT?
</em></p>
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: **</=
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=
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=
547 <p>You can also
<span class=
3D
"share">[Share
<span class=
3D
"share-content">o=
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&url=3Dhttps%3A%2=
551 F%2Fadventofcode%2Ecom%2F2022%2Fday%2F10&related=3Dericwastl&hashta=
552 gs=3DAdventOfCode" target=
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554 <a target=
3D
"_blank" rel=
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"noreferrer" data-ss1670925985=
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"1">Mastodon<=
555 /a
></span>]
</span> this puzzle.
</p>
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