[2022] [Day 20]: Grove Positioning System #195
Description
Challenge description
It's finally time to meet back up with the Elves. When you try to contact them, however, you get no reply. Perhaps you're out of range?
You know they're headed to the grove where the star fruit grows, so if you can figure out where that is, you should be able to meet back up with them.
Fortunately, your handheld device has a file (your puzzle input) that contains the grove's coordinates! Unfortunately, the file is encrypted - just in case the device were to fall into the wrong hands.
Maybe you can decrypt it?
When you were still back at the camp, you overheard some Elves talking about coordinate file encryption. The main operation involved in decrypting the file is called mixing.
The encrypted file is a list of numbers. To mix the file, move each number forward or backward in the file a number of positions equal to the value of the number being moved. The list is circular, so moving a number off one end of the list wraps back around to the other end as if the ends were connected.
For example, to move the 1 in a sequence like 4, 5, 6, 1, 7, 8, 9, the 1 moves one position forward: 4, 5, 6, 7, 1, 8, 9. To move the -2 in a sequence like 4, -2, 5, 6, 7, 8, 9, the -2 moves two positions backward, wrapping around: 4, 5, 6, 7, 8, -2, 9.
The numbers should be moved in the order they originally appear in the encrypted file. Numbers moving around during the mixing process do not change the order in which the numbers are moved.
Consider this encrypted file:
1
2
-3
3
-2
0
4
Mixing this file proceeds as follows:
Initial arrangement:
1, 2, -3, 3, -2, 0, 4
1 moves between 2 and -3:
2, 1, -3, 3, -2, 0, 4
2 moves between -3 and 3:
1, -3, 2, 3, -2, 0, 4
-3 moves between -2 and 0:
1, 2, 3, -2, -3, 0, 4
3 moves between 0 and 4:
1, 2, -2, -3, 0, 3, 4
-2 moves between 4 and 1:
1, 2, -3, 0, 3, 4, -2
0 does not move:
1, 2, -3, 0, 3, 4, -2
4 moves between -3 and 0:
1, 2, -3, 4, 0, 3, -2
Then, the grove coordinates can be found by looking at the 1000th, 2000th, and 3000th numbers after the value 0, wrapping around the list as necessary. In the above example, the 1000th number after 0 is 4, the 2000th is -3, and the 3000th is 2; adding these together produces 3.
Mix your encrypted file exactly once. What is the sum of the three numbers that form the grove coordinates?
Challenge input
9688
470
-3016
-5110
3615
3862
6989
-2605
-8389
-3372
3935
7241
-8871
-2995
6517
6929
3149
-1876
4981
-5525
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3851
-9322
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-2710
7573
6449
-1170
-8779
-130
7584
7483
60
7252
1369
3120
9957
1411
6218
-5525
-8184
-8998
1635
-3127
-7994
6051
-6314
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-3556
6669
-9474
-7982
-1399
-4627
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5027
-9437
6378
-8050
-718
8703
-8195
2547
-3543
3352
-1818
2477
9893
7017
-2689
-8515
7791
-1489
6697
4362
-4211
9311
-6960
-452
-4984
-9978
-2261
2264
3862
-2177
-583
193
6958
-508
-6946
-371
3831
-8558
-1592
3809
8078
-1040
-4311
590
5926
42
-6730
8922
-668
6372
9279
8055
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9440
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7958
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1561
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6753
6368
-9739
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8976
-5755
7968
8636
3905
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1483
5427
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4171
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1211
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7885
23
6219
3769
8277
3862
8353
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8165
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6091
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2236
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4934
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5152
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3419
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4234
421
100
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3726
6280
1867
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4791
1329
3601
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6449
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6025
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2932
6112
7718
4238
56
7728
6454
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714
4667
3654
8236
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3298
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9625
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5467
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5030
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96
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105
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6240
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3427
812
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1246
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Challenge year
2022
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