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aoc: solve day 9

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Ivan R. 2024-08-17 16:49:55 +05:00
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advent-of-code-2023/elixir/day_09/.formatter.exs Normal file
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# Used by "mix format"
[
inputs: ["{mix,.formatter}.exs", "{config,lib,test}/**/*.{ex,exs}"]
]

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# The directory Mix will write compiled artifacts to.
/_build/
# If you run "mix test --cover", coverage assets end up here.
/cover/
# The directory Mix downloads your dependencies sources to.
/deps/
# Where third-party dependencies like ExDoc output generated docs.
/doc/
# Ignore .fetch files in case you like to edit your project deps locally.
/.fetch
# If the VM crashes, it generates a dump, let's ignore it too.
erl_crash.dump
# Also ignore archive artifacts (built via "mix archive.build").
*.ez
# Ignore package tarball (built via "mix hex.build").
oasis-*.tar
# Temporary files, for example, from tests.
/tmp/

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# Oasis
You ride the camel through the sandstorm and stop where the ghost's maps told you to stop.
The sandstorm subsequently subsides, somehow seeing you standing at an oasis!
The camel goes to get some water and you stretch your neck.
As you look up, you discover what must be yet another giant floating island, this one made of metal!
That must be where the parts to fix the sand machines come from.
There's even a hang glider partially buried in the sand here; once the sun rises and heats up the sand,
you might be able to use the glider and the hot air to get all the way up to the metal island!
While you wait for the sun to rise, you admire the oasis hidden here in the middle of Desert Island.
It must have a delicate ecosystem; you might as well take some ecological readings while you wait.
Maybe you can report any environmental instabilities you find to someone so the oasis can be around for the next sandstorm-worn traveler.
You pull out your handy Oasis And Sand Instability Sensor and analyze your surroundings.
The OASIS produces a report of many values and how they are changing over time (your puzzle input).
Each line in the report contains the history of a single value. For example:
```
0 3 6 9 12 15
1 3 6 10 15 21
10 13 16 21 30 45
```
To best protect the oasis, your environmental report should include a prediction of the next value in each history.
To do this, start by making a new sequence from the difference at each step of your history.
If that sequence is not all zeroes, repeat this process, using the sequence you just generated as the input sequence.
Once all of the values in your latest sequence are zeroes, you can extrapolate what the next value of the original history should be.
In the above dataset, the first history is `0 3 6 9 12 15`.
Because the values increase by 3 each step, the first sequence of differences that you generate will be `3 3 3 3 3`.
Note that this sequence has one fewer value than the input sequence because at each step it considers two numbers from the input.
Since these values aren't all zero, repeat the process: the values differ by 0 at each step, so the next sequence is `0 0 0 0`.
This means you have enough information to extrapolate the history! Visually, these sequences can be arranged like this:
```
0 3 6 9 12 15
3 3 3 3 3
0 0 0 0
```
To extrapolate, start by adding a new zero to the end of your list of zeroes;
because the zeroes represent differences between the two values above them,
this also means there is now a placeholder in every sequence above it:
```
0 3 6 9 12 15 B
3 3 3 3 3 A
0 0 0 0 0
```
You can then start filling in placeholders from the bottom up.
A needs to be the result of increasing 3 (the value to its left) by 0 (the value below it); this means A must be 3:
```
0 3 6 9 12 15 B
3 3 3 3 3 3
0 0 0 0 0
```
Finally, you can fill in B, which needs to be the result of increasing 15 (the value to its left) by 3 (the value below it), or 18:
```
0 3 6 9 12 15 18
3 3 3 3 3 3
0 0 0 0 0
```
So, the next value of the first history is 18.
Finding all-zero differences for the second history requires an additional sequence:
```
1 3 6 10 15 21
2 3 4 5 6
1 1 1 1
0 0 0
```
Then, following the same process as before, work out the next value in each sequence from the bottom up:
```
1 3 6 10 15 21 28
2 3 4 5 6 7
1 1 1 1 1
0 0 0 0
```
So, the next value of the second history is 28.
The third history requires even more sequences, but its next value can be found the same way:
```
10 13 16 21 30 45 68
3 3 5 9 15 23
0 2 4 6 8
2 2 2 2
0 0 0
```
So, the next value of the third history is 68.
If you find the next value for each history in this example and add them together, you get 114.
Analyze your OASIS report and extrapolate the next value for each history. What is the sum of these extrapolated values?
## Part Two
Of course, it would be nice to have even more history included in your report. Surely it's safe to just extrapolate backwards as well, right?
For each history, repeat the process of finding differences until the sequence of differences is entirely zero.
Then, rather than adding a zero to the end and filling in the next values of each previous sequence,
you should instead add a zero to the beginning of your sequence of zeroes, then fill in new first values for each previous sequence.
In particular, here is what the third example history looks like when extrapolating back in time:
```
5 10 13 16 21 30 45
5 3 3 5 9 15
-2 0 2 4 6
2 2 2 2
0 0 0
```
Adding the new values on the left side of each sequence from bottom to top eventually reveals the new left-most history value: 5.
Doing this for the remaining example data above results in previous values of -3 for the first history and 0 for the second history.
Adding all three new values together produces 2.
Analyze your OASIS report again, this time extrapolating the previous value for each history.
What is the sum of these extrapolated values?

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advent-of-code-2023/elixir/day_09/input.txt Normal file
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3 8 13 18 23 28 33 38 43 48 53 58 63 68 73 78 83 88 93 98 103
-2 11 29 53 88 153 309 726 1835 4661 11532 27538 63421 141097 303903 635229 1292012 2564703 4984683 9517003 17906238
18 37 70 125 217 371 619 998 1568 2495 4304 8537 19327 46991 116021 282572 672229 1560456 3541417 7876620 17202960
5 3 9 41 127 305 637 1261 2529 5316 11643 25862 56858 122127 255336 520269 1036193 2023005 3879505 7315347 13567333
19 32 62 124 231 392 614 915 1373 2277 4519 10482 25866 63234 148755 335092 726403 1527282 3138164 6338172 12626653
-4 7 30 75 164 341 702 1470 3163 6933 15203 32824 69158 141826 283420 553362 1058418 1987279 3667264 6654765 11875748
6 6 12 45 133 309 616 1125 1972 3420 5952 10401 18123 31219 52812 87385 141186 222706 343236 517509 764433
5 18 47 115 252 489 849 1345 2011 3012 4904 9147 19016 41111 87742 180565 355977 672950 1224205 2151907 3669412
13 26 52 100 176 283 421 587 775 976 1178 1366 1522 1625 1651 1573 1361 982 400 -424 -1532
12 22 42 87 179 343 596 925 1249 1362 863 -890 -4670 -10732 -16647 -11320 39921 230074 787497 2239827 5750372
20 28 36 44 52 60 68 76 84 92 100 108 116 124 132 140 148 156 164 172 180
15 38 73 125 207 345 587 1011 1729 2895 4743 7694 12556 20768 34480 56008 85903 118700 135838 97466 -58121
25 50 85 134 221 405 806 1655 3388 6813 13390 25677 48010 87502 155465 269380 455563 752700 1216451 1925352 2988275
11 14 18 28 62 160 412 1032 2518 5951 13499 29205 60151 118103 221755 399703 694293 1166500 1902008 3018674 4675572
17 29 61 142 322 679 1329 2444 4296 7368 12607 21937 39206 71843 133763 250796 471914 894574 1724356 3415191 6990661
25 35 55 99 181 315 515 795 1169 1651 2255 2995 3885 4939 6171 7595 9225 11075 13159 15491 18085
24 47 93 188 364 659 1130 1886 3161 5472 9957 19099 38284 79130 166433 352152 742469 1548260 3176638 6394607 12622203
9 22 52 114 227 413 703 1168 2005 3720 7462 15574 32439 65711 128033 239356 429985 744490 1246632 2025466 3202795
17 27 37 46 52 60 113 373 1304 4044 11098 27539 62969 134567 271636 522156 961955 1707225 2931235 4886228 7931634
4 5 17 58 160 392 901 1977 4147 8305 15907 29341 52809 94620 173081 330962 669286 1422712 3120979 6922293 15279330
12 33 59 89 137 250 534 1199 2643 5608 11478 22895 45125 89137 178349 362749 747214 1546674 3192438 6538615 13270431
12 36 87 183 348 622 1080 1868 3286 5990 11464 23063 48210 102848 220185 467465 977593 2008142 4050784 8033459 15692497
12 22 29 50 115 276 623 1305 2570 4882 9264 18179 37527 80743 176584 383112 811951 1670041 3333110 6481007 12360206
2 15 42 84 153 288 575 1169 2319 4419 8172 15096 28881 58643 126167 281299 633708 1417003 3115486 6709092 14134989
5 11 17 23 29 35 41 47 53 59 65 71 77 83 89 95 101 107 113 119 125
12 15 12 15 46 139 352 803 1751 3752 7941 16540 33791 67690 133187 257958 492494 927141 1719922 3140541 5637980
-2 5 22 63 152 320 609 1100 1995 3793 7607 15690 32330 65568 130939 260059 520048 1055477 2174152 4513505 9348176
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
23 49 91 162 284 491 839 1431 2470 4358 7864 14389 26361 47798 85082 147992 251049 415231 670121 1056556 1629850
-7 -14 -27 -48 -70 -69 4 231 735 1688 3319 5922 9864 15593 23646 34657 49365 68622 93401 124804 164070
-7 -6 0 28 110 293 639 1225 2143 3500 5418 8034 11500 15983 21665 28743 37429 47950 60548 75480 93018
2 2 2 12 68 247 682 1577 3222 6008 10442 17162 26952 40757 59698 85087 118442 161502 216242 284888 369932
4 14 35 66 109 180 338 744 1765 4141 9236 19397 38448 72349 130053 224597 374466 605272 951793 1460420 2192063
15 11 7 4 -3 -32 -112 -259 -417 -351 521 3370 10285 24702 51946 99899 179807 307239 503211 795488 1220077
12 36 80 154 282 521 988 1898 3619 6752 12256 21689 37790 66012 118465 223432 446794 937256 2016508 4350176 9258014
13 26 63 134 255 454 789 1394 2581 5043 10231 21026 42911 86009 168696 324256 613664 1150811 2152430 4035081 7597366
6 11 21 55 140 312 617 1124 1974 3493 6383 11962 22353 40458 69596 113039 174706 264543 416477 734489 1494950
6 11 19 30 44 61 81 104 130 159 191 226 264 305 349 396 446 499 555 614 676
4 17 39 87 186 374 727 1417 2824 5733 11667 23467 46404 90552 176171 346029 693035 1420320 2967758 6270574 13273721
30 54 93 159 277 494 890 1591 2784 4734 7803 12471 19359 29254 43136 62207 87922 122022 166569 223983 297081
4 -4 -8 13 97 314 794 1765 3606 6945 12894 23647 43930 84288 168140 346403 727291 1536690 3240269 6789559 14113690
-3 11 45 103 185 297 479 854 1713 3678 8027 17322 36553 75098 149901 290387 545765 995517 1764033 3040529 5105577
17 44 85 147 240 375 565 835 1260 2081 4024 9117 22651 57594 143928 347289 804275 1786258 3809999 7822431 15499370
25 37 49 61 73 85 97 109 121 133 145 157 169 181 193 205 217 229 241 253 265
2 11 30 61 123 271 625 1414 3057 6333 12732 25123 48924 94044 178098 332074 611499 1120917 2070835 3911665 7642856
26 50 93 161 274 481 872 1581 2775 4628 7286 10839 15329 20839 27727 37091 51576 76662 122603 207221 359796
6 8 14 27 58 141 363 915 2171 4804 9955 19492 36461 66021 117646 210498 386180 737432 1469012 3019809 6295620
17 39 70 116 194 332 569 955 1551 2429 3672 5374 7640 10586 14339 19037 24829 31875 40346 50424 62302
9 37 94 208 431 855 1629 2972 5177 8601 13636 20656 29935 41531 55131 69852 83993 94733 97770 86896 53503
10 16 24 41 84 179 356 638 1019 1417 1577 898 -1810 -8530 -21862 -43681 -71068 -86690 -38846 196527 883820
-1 6 35 105 235 451 805 1406 2463 4340 7623 13199 22347 36841 59065 92140 140063 207858 301739 429285 599627
20 35 53 76 128 275 648 1466 3068 5986 11119 20091 35878 63752 112511 195891 334148 556413 906237 1456902 2351380
15 16 19 23 29 44 85 183 387 768 1423 2479 4097 6476 9857 14527 20823 29136 39915 53671 70981
14 30 61 112 181 268 405 713 1493 3368 7531 16252 34003 69942 143162 293275 601072 1228378 2495504 5034653 10100107
3 6 17 42 91 183 368 778 1731 3937 8895 19639 42128 87872 179049 358833 712788 1413628 2814378 5639260 11366566
11 21 33 51 76 101 110 102 181 776 3082 9859 26839 65288 147004 314711 654395 1343351 2751539 5649167 11617970
0 0 10 47 137 320 664 1297 2462 4608 8568 15964 30143 58214 115154 231514 467020 933368 1830798 3504645 6530053
11 21 49 107 213 393 690 1187 2050 3598 6410 11484 20470 36008 62213 105362 174853 284523 454431 713233 1101299
14 28 46 76 140 288 627 1380 2997 6350 13063 26077 50692 96722 183394 350905 687364 1389288 2891252 6130858 13066480
8 13 25 65 179 458 1060 2237 4378 8096 14427 25292 44525 80023 147966 280630 540124 1041479 1989965 3739379 6880407
12 14 31 73 149 271 459 754 1267 2319 4755 10536 23722 51966 108690 216329 411670 755900 1355475 2407027 4293083
9 6 11 42 132 336 742 1490 2815 5163 9499 18055 35986 74777 158921 338699 714554 1484041 3033588 6119909 12230097
28 52 100 186 320 507 752 1083 1627 2814 5841 13613 32532 75827 169807 365835 763570 1556072 3116186 6158384 12034044
7 10 23 70 194 464 982 1890 3377 5686 9121 14054 20932 30284 42728 58978 79851 106274 139291 180070 229910
15 24 30 45 97 241 578 1278 2607 4980 9108 16389 29843 56177 110113 223138 460717 955393 1969144 4008502 8032483
7 11 32 89 208 422 771 1302 2069 3133 4562 6431 8822 11824 15533 20052 25491 31967 39604 48533 58892
7 8 11 32 109 321 827 1937 4230 8753 17398 33715 64779 125470 247957 501790 1034510 2150043 4453586 9108911 18279794
4 7 14 48 154 412 964 2064 4162 8035 14982 27117 47861 82938 142684 247544 440636 814695 1566166 3097346 6198928
0 5 17 36 62 95 135 182 236 297 365 440 522 611 707 810 920 1037 1161 1292 1430
15 37 69 109 152 190 212 204 149 27 -185 -513 -986 -1636 -2498 -3610 -5013 -6751 -8871 -11423 -14460
16 26 35 54 107 245 582 1364 3093 6750 14202 28955 57552 112141 215085 406987 760190 1400714 2542733 4541092 7969025
24 36 43 43 48 101 313 930 2437 5716 12324 25093 49550 97213 192780 388793 793826 1624068 3294041 6571155 12832408
13 12 11 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7
14 37 73 127 202 300 423 575 772 1073 1651 2929 5812 12052 24789 49317 94130 172309 303317 515275 847798
0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20
0 3 10 33 102 271 633 1353 2727 5279 9923 18258 33170 60172 110493 208157 405774 818567 1695124 3559555 7488074
12 28 60 124 241 437 743 1195 1834 2706 3862 5358 7255 9619 12521 16037 20248 25240 31104 37936 45837
16 32 62 123 256 546 1160 2421 4943 9861 19204 36488 67682 122895 219577 388930 688886 1229830 2223734 4074129 7534064
1 -5 -1 23 82 221 553 1308 2895 5997 11756 22166 40884 74813 137078 252601 468828 877150 1656764 3164736 6117881
0 0 9 39 116 283 602 1157 2059 3453 5526 8514 12705 18434 26065 35954 48386 63478 81039 100377 120042
11 26 60 142 314 641 1245 2371 4495 8503 16031 30211 57420 111382 222529 458671 969268 2077784 4469941 9569418 20272551
16 31 62 125 258 534 1079 2102 3944 7153 12592 21587 36122 59088 94593 148340 228080 344147 510082 743353 1066178
2 11 22 35 58 125 326 850 2059 4642 9943 20616 41833 83358 162901 311281 580056 1052421 1858332 3194985 5353964
20 28 36 46 60 88 172 439 1198 3100 7406 16496 34968 72120 147425 302004 621360 1278148 2609052 5247630 10346212
24 44 67 100 160 274 479 822 1360 2160 3299 4864 6952 9670 13135 17474 22824 29332 37155 46460 57424
16 25 42 78 146 278 557 1164 2440 4963 9640 17814 31386 52952 85955 134852 205296 304333 440614 624622 868914
-6 -11 -14 -2 45 154 359 701 1228 1995 3064 4504 6391 8808 11845 15599 20174 25681 32238 39970 49009
10 23 51 100 176 285 433 626 870 1171 1535 1968 2476 3065 3741 4510 5378 6351 7435 8636 9960
-2 10 39 105 239 481 885 1539 2608 4408 7519 12945 22329 38231 64477 106587 172290 272134 420199 634921 940035
14 29 59 130 293 634 1283 2427 4330 7354 11962 18682 28066 40912 59723 94205 177901 412436 1075133 2863466 7420460
24 34 44 67 141 358 906 2118 4529 8961 16694 29865 52437 92541 167977 318592 632786 1301476 2722788 5696319 11769337
4 13 35 79 170 360 746 1496 2883 5332 9513 16599 29008 52342 99931 202523 427402 913771 1934851 4002107 8033650
13 34 64 103 151 208 274 349 433 526 628 739 859 988 1126 1273 1429 1594 1768 1951 2143
-2 4 15 39 95 213 434 810 1404 2290 3553 5289 7605 10619 14460 19268 25194 32400 41059 51355 63483
7 6 12 43 124 287 571 1022 1693 2644 3942 5661 7882 10693 14189 18472 23651 29842 37168 45759 55752
24 33 48 78 135 243 462 936 1974 4173 8592 16986 32109 58095 100926 168996 273780 430617 659616 986694 1444755
-4 -9 -14 -19 -24 -29 -34 -39 -44 -49 -54 -59 -64 -69 -74 -79 -84 -89 -94 -99 -104
0 -4 -8 -12 -16 -20 -24 -28 -32 -36 -40 -44 -48 -52 -56 -60 -64 -68 -72 -76 -80
9 31 79 159 272 414 576 744 899 1017 1069 1021 834 464 -138 -1026 -2259 -3901 -6021 -8693 -11996
5 16 42 83 139 210 296 397 513 644 790 951 1127 1318 1524 1745 1981 2232 2498 2779 3075
12 36 74 137 251 458 810 1364 2196 3459 5514 9164 16019 29015 53102 96105 169748 290814 482394 775155 1208531
19 30 42 67 131 274 550 1027 1787 2926 4554 6795 9787 13682 18646 24859 32515 41822 53002 66291 81939
7 8 8 6 0 -18 -63 -150 -275 -380 -298 326 2142 6234 14295 28842 53475 93184 154708 246950 381452
6 13 28 66 157 365 822 1787 3762 7735 15690 31657 63817 128589 258284 514906 1014118 1965393 3737072 6958604 12676813
-2 3 11 25 54 119 276 671 1640 3871 8672 18460 37729 75014 146827 285396 553788 1075877 2097463 4114657 8148210
19 39 72 122 194 292 430 675 1245 2698 6294 14725 33632 74717 161876 342700 708999 1431793 2818588 5403828 10087310
19 43 87 169 327 630 1202 2269 4242 7860 14451 26453 48519 89913 169718 328102 650441 1318097 2712767 5624741 11655403
-4 -6 -8 -10 -12 -14 -16 -18 -20 -22 -24 -26 -28 -30 -32 -34 -36 -38 -40 -42 -44
2 8 27 70 153 303 571 1054 1927 3504 6407 12052 23891 50208 109780 242399 527116 1112108 2261263 4423886 8335289
20 46 94 175 302 486 741 1110 1724 2906 5332 10261 19846 37538 68595 120708 204756 335702 533642 825019 1244014
8 17 28 58 132 275 501 802 1156 1615 2615 5792 15829 44258 116781 286663 658220 1426529 2942394 5815490 11073654
-6 -11 -10 22 132 396 938 1976 3919 7555 14394 27263 51293 95492 175164 315513 556864 962041 1626566 2692484 4366778
6 14 45 123 287 594 1122 1973 3276 5190 7907 11655 16701 23354 31968 42945 56738 73854 94857 120371 151083
-2 1 4 7 10 13 16 19 22 25 28 31 34 37 40 43 46 49 52 55 58
16 46 98 183 322 556 964 1706 3118 5901 11479 22685 45137 90106 180538 363435 734384 1484116 2983172 5929783 11598824
28 38 49 63 91 176 442 1199 3164 7914 18776 42479 92028 191375 382498 735368 1360864 2425826 4167911 6905483 11034117
8 9 15 28 51 93 179 370 798 1721 3603 7224 13825 25293 44391 75038 122644 194505 300263 452436 667023
3 5 -1 -18 -44 -63 -33 121 503 1232 2439 4348 7631 14471 31276 75089 188191 470848 1154039 2759183 6443722
22 47 80 117 151 181 238 445 1134 3043 7617 17454 36993 73667 139979 257350 463190 823519 1454686 2559379 4484275
12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92
1 17 51 114 230 452 887 1733 3331 6235 11303 19812 33600 55238 88235 137279 208517 309877 451435 645830 908730
9 37 76 128 199 303 466 740 1258 2388 5077 11515 26294 58288 123537 249481 480959 888463 1579218 2711746 4514665
16 30 54 91 144 216 310 429 576 754 966 1215 1504 1836 2214 2641 3120 3654 4246 4899 5616
18 25 33 49 92 208 508 1253 3017 6968 15321 32035 63847 121770 223268 395552 680996 1146855 1903753 3141497 5197646
21 33 47 64 92 156 318 711 1590 3409 6964 13727 26672 52201 104252 212335 436095 890005 1782857 3477686 6578384
8 8 4 -4 -16 -32 -52 -76 -104 -136 -172 -212 -256 -304 -356 -412 -472 -536 -604 -676 -752
6 12 18 35 85 207 480 1074 2347 5023 10528 21665 44041 89121 180621 367359 747912 1515794 3038762 5992739 11580265
5 23 67 161 352 722 1400 2574 4503 7529 12089 18727 28106 41020 58406 81356 111129 149163 197087 256733 330148
-1 -6 -8 1 29 90 236 631 1694 4372 10673 24704 54625 116136 238318 472758 906733 1680534 3007362 5191027 8631105
6 16 30 39 35 30 84 347 1128 3025 7208 16076 34753 74301 158174 334390 697242 1424198 2836058 5491557 10331551
8 12 26 58 116 218 423 895 2016 4569 10027 21030 42248 82085 156202 294835 557688 1063290 2044840 3952730 7636492
-4 -5 7 53 162 374 756 1435 2661 4933 9252 17607 33853 65204 124639 234605 432498 778511 1366557 2339105 3906908
21 42 76 126 201 340 653 1389 3046 6554 13618 27448 54386 107440 213541 427555 857827 1710442 3362608 6479762 12196351
18 28 59 122 227 399 704 1292 2479 4923 10018 20767 43656 92526 196263 413485 859552 1754486 3505173 6842032 13039785
9 17 47 118 271 585 1208 2432 4855 9683 19227 37646 72004 133830 241783 427099 745915 1307559 2337733 4314472 8250995
18 29 40 51 62 73 84 95 106 117 128 139 150 161 172 183 194 205 216 227 238
9 27 58 122 259 536 1053 1960 3510 6181 10909 19495 35294 64372 117430 212933 382023 675895 1176308 2009696 3364813
10 26 49 97 197 387 734 1393 2760 5813 12789 28412 61967 130608 264394 513666 959510 1728196 3010641 5088115 8365593
12 15 20 27 36 47 60 75 92 111 132 155 180 207 236 267 300 335 372 411 452
-4 6 24 51 107 259 669 1682 3989 8927 19027 39005 77529 150314 285433 532230 975934 1761060 3128006 5468975 9411523
23 46 88 160 277 476 843 1542 2850 5231 9534 17483 32755 63151 124758 249835 501986 1006051 2007833 3993101 7920462
14 23 27 41 105 297 753 1712 3622 7368 14727 29238 57832 113877 222955 434195 843489 1642928 3228442 6434782 13041642
8 30 78 160 287 489 836 1463 2609 4702 8568 15946 30734 61942 130500 284397 630992 1403191 3089971 6685690 14154213
21 34 50 79 137 261 540 1163 2485 5112 10006 18611 33001 56051 91632 144831 222197 332014 484602 692647 971561
7 15 28 48 79 145 334 897 2446 6322 15250 34467 73604 149737 292246 550576 1006993 1798573 3157000 5482970 9486677
8 5 1 -4 -10 -17 -25 -34 -44 -55 -67 -80 -94 -109 -125 -142 -160 -179 -199 -220 -242
22 44 85 165 324 646 1310 2688 5518 11188 22175 42691 79596 143646 251152 426134 703062 1130284 1774249 2724641 4100548
19 28 36 55 118 303 772 1835 4071 8569 17397 34476 67136 128758 243038 450510 818032 1452159 2518459 4272986 7124211
4 12 34 89 207 448 948 2004 4210 8656 17202 32839 60149 105876 179620 294666 468960 726244 1097362 1621749 2349115
11 17 39 99 233 505 1036 2048 3919 7241 12869 21945 35877 56249 84634 122278 169619 225601 286739 345887 390657
8 5 -2 -3 34 187 625 1680 3960 8546 17389 34180 66277 128873 253747 507179 1025906 2088101 4251314 8616261 17322742
-2 -8 -15 -21 -24 -22 -13 5 34 76 133 207 300 414 551 713 902 1120 1369 1651 1968
12 28 46 66 88 112 138 166 196 228 262 298 336 376 418 462 508 556 606 658 712
24 42 64 90 120 154 192 234 280 330 384 442 504 570 640 714 792 874 960 1050 1144
9 17 42 101 232 502 1010 1885 3279 5355 8270 12153 17078 23032 29878 37313 44821 51621 56610 58301 54756
18 37 75 157 321 618 1112 1880 3012 4611 6793 9687 13435 18192 24126 31418 40262 50865 63447 78241 95493
6 9 22 65 166 359 684 1201 2051 3632 7012 14785 32707 72650 157712 330755 668252 1302155 2453602 4483721 7968628
22 39 64 91 108 101 64 15 18 211 840 2299 5176 10305 18824 32239 52494 82047 123952 181947 260548
13 19 28 34 26 -16 -125 -351 -765 -1463 -2570 -4244 -6680 -10114 -14827 -21149 -29463 -40209 -53888 -71066 -92378
13 30 57 95 149 234 384 674 1282 2653 5901 13721 32302 75049 169342 368074 768291 1539856 2967601 5510811 9883963
14 21 40 89 194 384 687 1140 1846 3151 6091 13397 31582 75028 173639 386675 827046 1702921 3387390 6532613 12253026
4 26 63 115 182 264 361 473 600 742 899 1071 1258 1460 1677 1909 2156 2418 2695 2987 3294
18 21 22 22 37 109 314 760 1558 2736 4047 4598 2207 -7605 -33043 -87863 -193462 -381037 -693732 -1189230 -1944591
10 21 45 85 136 195 286 513 1178 3047 7926 19832 47222 106987 231239 478328 950034 1817497 3359187 6015087 10462276
11 30 54 77 96 121 198 458 1220 3203 7947 18630 41666 89931 189478 393654 812381 1671128 3425360 6974151 14044032
16 23 37 67 127 233 405 695 1288 2762 6661 16659 40818 95848 215010 462659 961007 1939716 3828780 7434222 14272196
14 10 -3 -23 -37 -9 138 548 1481 3426 7369 15396 31956 66327 137135 280198 561593 1098981 2096758 3906718 7140438
-4 6 26 67 160 373 839 1796 3640 6992 12780 22337 37516 60823 95569 146042 217700 317386 453566 636591 878984
5 18 42 78 127 190 268 362 473 602 750 918 1107 1318 1552 1810 2093 2402 2738 3102 3495
-10 -18 -16 20 135 400 907 1751 2994 4598 6308 7495 7106 4241 684 8239 66346 279674 891836 2420818 5895093
7 7 8 26 88 243 593 1346 2887 5868 11343 21038 37987 68052 123400 230047 443467 879621 1774586 3595814 7244270
-5 -4 -3 -2 14 86 302 854 2174 5225 12089 27127 59264 126535 265203 547989 1119921 2266962 4543161 8998148 17570246
10 14 24 47 98 218 515 1250 3001 6949 15343 32223 64534 123915 229858 415980 743652 1332844 2431966 4572531 8900754
22 47 84 125 158 163 113 -2 -95 208 1946 7486 21564 52739 115142 230116 426916 741137 1209172 1857215 2684918
9 12 11 6 -3 -16 -33 -54 -79 -108 -141 -178 -219 -264 -313 -366 -423 -484 -549 -618 -691
26 51 84 116 134 133 148 311 935 2624 6405 13875 27353 50024 86059 140692 220232 331985 484058 685014 943344
18 41 78 136 235 428 834 1684 3380 6567 12218 21732 37045 60754 96254 147888 221110 322661 460758 645296 888063
19 22 25 43 115 328 859 2048 4536 9539 19389 38584 75814 147879 287254 556512 1075177 2068188 3950397 7468805 13933957
14 37 83 165 307 561 1044 2008 3959 7847 15372 29517 55569 103191 190692 353782 663376 1261601 2434301 4756037 9376651
-1 15 53 130 273 524 946 1628 2697 4364 7059 11747 20563 37959 72620 140479 269243 504933 921041 1631016 2804909
4 27 60 97 127 142 154 227 538 1489 3900 9321 20509 42124 81706 151003 267728 457831 758380 1221153 1917051
17 25 35 48 66 87 95 56 -59 -194 -33 1315 5822 17294 42431 92257 183985 343383 607707 1029266 1679682
-6 -10 -16 -24 -30 -29 -14 38 204 701 2084 5721 14932 37626 92141 219698 510270 1155416 2554852 5528690 11733478
-5 -10 -16 -9 35 143 344 684 1272 2383 4660 9473 19500 39580 77834 146936 265217 456972 750880 1174803 1744361
4 6 10 16 39 125 373 963 2190 4504 8556 15250 25801 41799 65279 98797 145512 209274 294718 407364 553723
-3 7 32 72 127 197 282 382 497 627 772 932 1107 1297 1502 1722 1957 2207 2472 2752 3047
14 28 42 56 70 84 98 112 126 140 154 168 182 196 210 224 238 252 266 280 294
11 16 26 48 99 223 525 1248 2932 6707 14785 31229 63090 122016 226450 404547 697953 1166602 1894700 2998078 4633109
6 21 45 78 120 171 231 300 378 465 561 666 780 903 1035 1176 1326 1485 1653 1830 2016
21 27 38 60 113 254 604 1369 2842 5378 9360 15248 23968 38224 65946 128371 278065 638577 1491799 3470409 7977899
9 12 15 18 21 24 27 30 33 36 39 42 45 48 51 54 57 60 63 66 69
13 16 25 38 63 140 370 960 2303 5122 10717 21364 40925 75738 135866 236794 401673 664220 1072393 1692970 2617171
6 10 22 38 59 110 280 790 2095 5024 10965 22130 42036 76621 137108 247275 460964 901754 1847740 3903290 8330769
20 23 28 40 73 158 357 789 1674 3401 6626 12406 22375 38968 65699 107499 171120 265611 402872 598292 871477
10 13 13 10 4 -5 -17 -32 -50 -71 -95 -122 -152 -185 -221 -260 -302 -347 -395 -446 -500
7 25 57 115 224 435 860 1753 3675 7802 16477 34195 69388 137730 268375 515881 983110 1865108 3532670 6690534 12676255
-8 -9 -9 -5 24 132 426 1094 2444 4957 9357 16701 28492 46818 74520 115392 174416 258035 374467 534063 749712
6 16 42 98 209 421 822 1580 3015 5745 10978 21060 40430 77174 145408 268752 485180 853542 1462050 2438998 3965943
4 10 11 16 47 139 340 711 1326 2272 3649 5570 8161 11561 15922 21409 28200 36486 46471 58372 72419
12 26 50 87 145 233 360 549 892 1695 3797 9194 22159 51150 112057 234074 471388 928280 1814436 3565001 7091909

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defmodule Oasis do
@moduledoc """
Day 9 of Advent of Code 2023.
Link: https://adventofcode.com/2023/day/9.
"""
def solve() do
input =
File.stream!("input.txt")
|> Stream.map(&String.trim_trailing/1)
# Get lists of strings.
|> Stream.map(&String.split/1)
# Get lists of integers.
|> Stream.map(fn list -> Enum.map(list, &String.to_integer/1) end)
# Predict next value for each list.
input
|> Stream.map(fn list -> predict(list, &predict_next_value/2) end)
|> Enum.sum()
|> IO.puts()
# Predict previous value for each list.
input
|> Stream.map(fn list -> predict(list, &predict_prev_value/2) end)
|> Enum.sum()
|> IO.puts()
end
@doc """
Predict a value for the list.
Predictor_fun is a function that takes current row and previous prediction result and returns new prediction.
Examples:
iex> Oasis.predict([0, 3, 6, 9, 12, 15], &Oasis.predict_next_value/2)
18
iex> Oasis.predict([1, 3, 6, 10, 15, 21], &Oasis.predict_next_value/2)
28
iex> Oasis.predict([10, 13, 16, 21, 30, 45], &Oasis.predict_prev_value/2)
5
"""
def predict(list, predictor_fun) do
diff = get_diff(list)
if zeros_only?(diff) do
predictor_fun.(list, 0)
else
predictor_fun.(list, predict(diff, predictor_fun))
end
end
def predict_next_value(list, prev_result) do
Enum.at(list, -1) + prev_result
end
def predict_prev_value(list, prev_result) do
hd(list) - prev_result
end
@doc """
Get a list of differences between values.
Examples:
iex> Oasis.get_diff([1, 3, 6, 10, 15, 21])
[2, 3, 4, 5, 6]
"""
def get_diff([head | tail]) do
case tail do
[] -> []
[val | _] -> [val - head | get_diff(tail)]
end
end
def zeros_only?(list) do
case list do
[] ->
true
[head | tail] ->
if head != 0, do: false, else: zeros_only?(tail)
end
end
end

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defmodule Oasis.MixProject do
use Mix.Project
def project do
[
app: :oasis,
version: "0.1.0",
elixir: "~> 1.16",
start_permanent: Mix.env() == :prod,
deps: deps()
]
end
# Run "mix help compile.app" to learn about applications.
def application do
[
extra_applications: [:logger]
]
end
# Run "mix help deps" to learn about dependencies.
defp deps do
[
# {:dep_from_hexpm, "~> 0.3.0"},
# {:dep_from_git, git: "https://github.com/elixir-lang/my_dep.git", tag: "0.1.0"}
]
end
end

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defmodule OasisTest do
use ExUnit.Case
doctest Oasis
end

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ExUnit.start()