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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
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