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309,347 -> 309,464
425,687 -> 300,687
226,766 -> 885,107
681,618 -> 921,378
968,54 -> 38,984
35,341 -> 321,627
493,485 -> 632,485
908,183 -> 110,981
677,378 -> 677,231
703,378 -> 703,536
179,581 -> 429,331
339,133 -> 664,458
212,680 -> 212,136
251,699 -> 858,699
163,725 -> 163,22
70,226 -> 97,226
968,119 -> 954,119
551,551 -> 415,551
768,167 -> 546,167
125,302 -> 155,332
640,201 -> 341,201
757,791 -> 757,736
406,570 -> 418,558
250,919 -> 976,193
570,362 -> 304,96
463,973 -> 463,337
322,199 -> 322,73
141,186 -> 141,906
964,940 -> 964,743
99,461 -> 15,461
255,856 -> 255,194
650,293 -> 650,136
89,98 -> 969,978
974,977 -> 37,40
641,795 -> 985,795
441,972 -> 441,427
18,942 -> 943,17
166,167 -> 617,167
182,146 -> 790,146
88,854 -> 928,14
537,38 -> 233,38
786,562 -> 867,562
251,102 -> 147,102
551,373 -> 672,252
915,713 -> 791,589
28,373 -> 28,651
463,365 -> 396,365
349,948 -> 737,948
246,860 -> 84,860
334,817 -> 866,285
880,958 -> 641,719
229,203 -> 740,714
39,220 -> 575,756
899,383 -> 275,383
49,952 -> 774,952
384,42 -> 581,42
11,731 -> 522,731
194,638 -> 679,153
922,279 -> 922,398
589,579 -> 709,579
97,716 -> 244,716
769,923 -> 769,189
636,567 -> 866,337
413,925 -> 729,925
581,524 -> 89,32
970,217 -> 851,217
716,373 -> 122,967
606,785 -> 191,785
322,432 -> 706,432
788,911 -> 788,889
904,917 -> 904,862
889,351 -> 796,351
508,18 -> 508,165
859,187 -> 879,187
531,409 -> 562,378
914,97 -> 233,778
194,191 -> 194,592
620,674 -> 55,109
194,973 -> 863,973
679,940 -> 679,296
836,108 -> 700,108
861,376 -> 585,376
166,299 -> 166,141
847,377 -> 847,217
872,972 -> 872,413
28,872 -> 28,695
876,152 -> 108,920
487,536 -> 697,536
30,28 -> 982,980
834,503 -> 834,586
927,459 -> 339,459
87,809 -> 770,126
24,973 -> 981,16
185,383 -> 185,13
850,328 -> 541,19
399,111 -> 742,111
703,305 -> 458,305
571,889 -> 803,657
356,697 -> 364,697
847,160 -> 108,899
170,954 -> 137,954
927,120 -> 897,150
687,662 -> 507,662
762,259 -> 762,951
90,612 -> 647,55
114,437 -> 483,68
138,269 -> 638,269
720,947 -> 29,947
563,52 -> 360,52
665,953 -> 187,475
283,855 -> 283,744
120,284 -> 120,319
935,422 -> 349,422
372,858 -> 372,779
68,768 -> 814,22
206,400 -> 22,400
72,954 -> 977,49
861,557 -> 794,557
893,654 -> 893,132
306,364 -> 697,364
828,165 -> 695,165
122,57 -> 986,921
509,470 -> 608,470
794,730 -> 520,456
291,305 -> 525,71
648,530 -> 92,530
329,173 -> 329,343
960,941 -> 133,114
256,523 -> 369,523
433,379 -> 195,379
199,783 -> 821,783
974,205 -> 299,205
200,400 -> 27,573
294,175 -> 294,493
320,20 -> 320,393
274,85 -> 969,780
112,73 -> 112,969
371,381 -> 121,631
942,906 -> 46,906
663,742 -> 208,287
422,258 -> 422,356
884,283 -> 859,283
750,142 -> 710,142
823,454 -> 642,273
296,366 -> 296,245
518,615 -> 852,949
74,513 -> 655,513
850,77 -> 850,950
985,980 -> 33,28
16,982 -> 979,19
265,234 -> 849,234
303,408 -> 229,334
344,63 -> 932,651
417,597 -> 548,597
729,361 -> 245,845
888,156 -> 80,964
215,29 -> 411,225
762,108 -> 115,108
63,855 -> 875,43
398,382 -> 874,858
419,78 -> 419,417
263,553 -> 131,553
766,399 -> 584,399
778,126 -> 226,678
580,781 -> 580,401
623,506 -> 966,506
364,723 -> 364,349
834,667 -> 177,10
402,515 -> 402,493
924,50 -> 22,952
64,826 -> 64,470
199,694 -> 145,694
893,900 -> 20,27
850,834 -> 725,959
47,573 -> 575,45
71,287 -> 71,296
796,728 -> 796,442
88,700 -> 726,700
230,332 -> 412,514
618,284 -> 618,661
221,738 -> 817,142
149,38 -> 474,38
563,331 -> 441,331
219,187 -> 522,187
300,341 -> 300,633
228,305 -> 70,463
396,875 -> 22,875
533,116 -> 519,116
257,781 -> 257,443
181,236 -> 181,822
10,13 -> 986,989
59,290 -> 753,984
121,89 -> 121,827
958,233 -> 653,233
685,641 -> 685,322
167,124 -> 446,403
246,170 -> 77,339
503,189 -> 503,72
666,182 -> 824,340
825,675 -> 629,479
967,915 -> 967,785
749,403 -> 92,403
950,217 -> 950,391
356,872 -> 514,872
279,900 -> 138,900
114,284 -> 502,672
700,792 -> 32,124
252,783 -> 806,229
557,215 -> 557,103
35,29 -> 963,957
650,285 -> 23,912
669,191 -> 446,414
66,283 -> 66,37
564,250 -> 175,250
425,611 -> 425,964
662,224 -> 707,224
599,979 -> 599,873
402,886 -> 402,979
329,181 -> 329,964
120,891 -> 685,326
788,438 -> 788,460
140,939 -> 338,939
496,343 -> 327,343
749,151 -> 749,339
181,527 -> 181,455
61,949 -> 966,44
138,262 -> 894,262
192,146 -> 801,146
301,405 -> 765,405
938,235 -> 938,55
543,958 -> 320,958
54,982 -> 867,169
66,147 -> 702,783
839,419 -> 97,419
519,879 -> 519,707
159,255 -> 159,787
258,897 -> 968,897
427,10 -> 427,62
782,750 -> 782,960
878,742 -> 785,649
171,74 -> 883,74
220,184 -> 910,874
696,984 -> 696,512
175,753 -> 303,753
666,515 -> 45,515
886,101 -> 14,973
121,823 -> 154,823
63,976 -> 987,52
480,478 -> 167,791
757,338 -> 757,719
593,286 -> 542,286
989,602 -> 989,135
793,857 -> 712,857
65,976 -> 843,198
729,334 -> 106,957
102,234 -> 42,294
830,223 -> 267,223
800,590 -> 921,590
526,38 -> 863,38
770,719 -> 65,14
317,267 -> 541,267
653,697 -> 653,720
506,532 -> 483,555
564,387 -> 205,387
971,669 -> 971,966
421,905 -> 421,264
506,85 -> 407,85
435,863 -> 230,863
945,133 -> 694,133
604,921 -> 604,168
66,677 -> 499,244
300,551 -> 893,551
836,228 -> 836,631
29,208 -> 443,208
546,584 -> 148,584
855,904 -> 855,315
636,694 -> 852,478
399,252 -> 399,170
46,596 -> 46,789
919,211 -> 201,929
662,983 -> 545,866
22,913 -> 908,27
441,605 -> 94,952
190,257 -> 769,836
700,395 -> 861,556
562,620 -> 562,687
34,165 -> 603,734
372,302 -> 585,302
71,857 -> 588,340
956,566 -> 738,784
778,610 -> 74,610
331,640 -> 346,655
274,473 -> 274,691
646,142 -> 144,142
911,971 -> 618,971
233,341 -> 233,505
467,990 -> 41,990
633,739 -> 57,163
585,405 -> 905,405
320,449 -> 320,628
44,738 -> 44,293
67,267 -> 770,970
933,155 -> 765,323
383,879 -> 896,366
130,986 -> 435,986
264,863 -> 979,148
114,721 -> 725,110
546,949 -> 546,790
762,42 -> 67,42
443,985 -> 245,985
689,803 -> 126,803
496,702 -> 943,255
955,963 -> 117,125
686,411 -> 979,704
226,256 -> 226,352
889,683 -> 889,437
47,161 -> 545,161
450,283 -> 450,469
461,338 -> 461,695
808,777 -> 808,962
902,459 -> 902,744
793,703 -> 158,68
100,919 -> 69,919
912,785 -> 331,204
712,609 -> 712,512
268,762 -> 268,355
972,667 -> 974,667
647,647 -> 164,647
589,180 -> 589,644
836,258 -> 376,718
676,977 -> 211,977
626,608 -> 874,360
271,911 -> 324,858
182,374 -> 182,347
14,989 -> 985,18
461,462 -> 956,957
82,79 -> 974,971
607,478 -> 607,147
898,76 -> 582,392
326,31 -> 683,31
768,47 -> 768,348
35,386 -> 185,386
803,391 -> 803,932
879,486 -> 879,658
183,39 -> 183,855
431,467 -> 499,399
434,306 -> 304,436
774,618 -> 521,618
364,426 -> 364,457
44,849 -> 791,102
70,850 -> 276,850
181,838 -> 181,736
574,18 -> 574,784
103,613 -> 537,179
34,218 -> 115,299
808,777 -> 636,777
483,112 -> 483,939
15,790 -> 15,253
433,427 -> 742,427
829,947 -> 895,947
361,180 -> 860,180
124,499 -> 124,615
879,712 -> 745,712
16,12 -> 16,149
36,981 -> 36,561
929,52 -> 30,951
845,85 -> 318,612
114,731 -> 794,51
434,280 -> 406,308
530,513 -> 114,513
417,715 -> 417,273
44,845 -> 44,225
951,122 -> 450,623
32,707 -> 32,832
51,58 -> 51,806
165,305 -> 49,189
517,221 -> 942,221
125,233 -> 193,233
903,180 -> 101,982
123,303 -> 247,179
199,174 -> 546,521
185,860 -> 538,860
825,751 -> 825,784
454,720 -> 64,720
28,10 -> 974,956
626,760 -> 586,760
91,234 -> 10,234
973,939 -> 65,31
589,308 -> 255,308
547,945 -> 239,945
909,914 -> 111,116
484,182 -> 253,182
145,575 -> 339,575
215,143 -> 611,143
963,983 -> 20,40
220,733 -> 333,846
126,860 -> 940,46
715,823 -> 715,284
832,65 -> 436,65
923,496 -> 530,889
708,517 -> 708,764
154,681 -> 22,549
909,135 -> 57,987
225,966 -> 225,941
629,491 -> 629,17
927,349 -> 72,349
15,987 -> 983,19
265,912 -> 74,912
14,985 -> 988,11
986,64 -> 129,921
697,831 -> 943,831
379,143 -> 853,617
232,887 -> 623,887
947,473 -> 947,453
898,762 -> 218,762
599,386 -> 870,386
757,137 -> 757,496
437,285 -> 437,326
515,311 -> 515,63
305,703 -> 720,703
321,770 -> 88,537
75,48 -> 457,430
38,499 -> 38,544
481,896 -> 481,944
614,483 -> 437,483
647,430 -> 368,430
641,669 -> 641,691
849,626 -> 427,204
805,688 -> 805,536
102,315 -> 102,108
729,525 -> 770,525
234,702 -> 38,702
17,457 -> 526,457
369,155 -> 369,647
216,118 -> 216,43
342,384 -> 342,905
470,832 -> 314,676
179,318 -> 179,315
40,707 -> 547,707
771,236 -> 453,236
113,823 -> 826,110
731,642 -> 707,642
36,398 -> 810,398
233,447 -> 979,447
74,286 -> 907,286
939,223 -> 939,10
866,57 -> 866,656
978,20 -> 10,988
816,176 -> 50,942
293,868 -> 293,350
900,159 -> 148,911
58,84 -> 644,84
720,416 -> 720,906
935,31 -> 13,953
41,727 -> 221,727
633,112 -> 633,695
418,947 -> 418,574
632,711 -> 791,711
73,228 -> 73,861
59,447 -> 83,447
418,938 -> 418,638
922,352 -> 636,352
66,773 -> 66,868
69,678 -> 600,147
333,251 -> 298,251
371,803 -> 740,434
976,972 -> 976,165
896,415 -> 240,415
672,476 -> 860,476
202,291 -> 195,291
99,971 -> 518,552
284,858 -> 910,232
187,282 -> 187,627
157,445 -> 157,665
421,879 -> 38,496
155,431 -> 405,431
772,472 -> 315,929
69,818 -> 132,818
70,328 -> 70,800
471,788 -> 646,788
960,900 -> 97,37
258,566 -> 186,494
345,413 -> 306,413
897,173 -> 897,896
74,740 -> 74,795
679,238 -> 679,811
870,64 -> 64,870
30,869 -> 288,869
539,380 -> 539,862
452,692 -> 748,692
527,712 -> 527,139
725,504 -> 717,504
201,338 -> 636,338
626,719 -> 626,302
580,153 -> 274,459
654,215 -> 246,215
363,738 -> 363,192
335,502 -> 970,502
266,52 -> 266,442
125,127 -> 281,127

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(import (srfi :43)) ; vector extensions
; returns numbers 0 to 9 from ascii character
(define (char->number c)
(- (char->integer c) 48)) ; 48 is ASCII's number zero
; reads a numnber from input
; also consumes the next non-number character in the file!
(define (get-number file)
(let loop [(n 0)]
(let [(c (get-char file))]
(if (char-numeric? c)
[loop (+ (char->number c) (* n 10))]
n))))
; reads pairs of coordinates
; returns a list of the form (((x1 y1) (x2 y2))...)
(define (read-lines file)
(let loop [(lines '())]
(if (eof-object? (peek-char file))
lines
[loop
(cons
(list
(list
(get-number file) ; x1
(get-number file)) ; y1
(list
(begin
(get-char file) ; consume -
(get-char file) ; consume >
(get-char file) ; consume space
(get-number file)) ; x2
(get-number file))) ; y2
lines)])))
; coordinate getters
(define (get-x1 coords) (car (car coords)))
(define (get-x2 coords) (car (cadr coords)))
(define (get-y1 coords) (cadr (car coords)))
(define (get-y2 coords) (cadr (cadr coords)))
(define (get-max-x coords) (max (get-x1 coords) (get-x2 coords)))
(define (get-max-y coords) (max (get-y1 coords) (get-y2 coords)))
; returns the largest value obtained while applying pick to each element of lst
(define (get-max lst pick)
(let loop [(m 0)
(lst lst)]
(if (null? lst)
m
[loop
(max m (pick (car lst)))
(cdr lst)])))
(define (sign value)
(cond
[(= 0 value) 0]
[(< 0 value) 1]
[else -1]))
; image get/setters
(define (make-image width height)
(list width
height
(make-vector (* width height) 0)))
(define (get-width image) (car image))
(define (get-height image) (cadr image))
(define (get-pixels image) (caddr image))
(define (get-offset image x y) (+ x (* y (get-width image))))
(define (get-pixel image x y)
(vector-ref (get-pixels image) (get-offset image x y)))
(define (set-pixel! image x y value)
(vector-set! (get-pixels image) (get-offset image x y) value))
; rasterize a line from given coordinates
(define (additively-rasterize-line! image coords allow-diagonal)
(let* [(x1 (get-x1 coords))
(y1 (get-y1 coords))
(x2 (get-x2 coords))
(y2 (get-y2 coords))
(dx (sign (- x2 x1)))
(dy (sign (- y2 y1)))]
(when (or allow-diagonal
(and (= dx 0) (not (= dy 0)))
(and (= dy 0) (not (= dx 0))))
[let loop! [(x x1) (y y1)]
(set-pixel! image x y (+ 1 (get-pixel image x y)))
(unless (and (= x x2) (= y y2))
[loop! (+ x dx) (+ y dy)])])))
; rasterize all given lines to an image
; each pixel represents the number of lines touching it
; diagonals must be 45° if allowed
(define (additively-rasterize lines allow-diagonals)
(let* [(width (+ 1 (get-max lines get-max-x)))
(height (+ 1 (get-max lines get-max-y)))
(image (make-image width height))]
(let loop! [(lines lines)]
(when (not (null? lines))
(additively-rasterize-line! image (car lines) allow-diagonals)
(loop! (cdr lines))))
image))
; count pixels with value strictly higher than 1
(define (count-crossings image)
(vector-fold
(lambda (index state pixel)
(if (> pixel 1)
[+ state 1]
state))
0
(get-pixels image)))
; output ASCII pgm formatted image with max 3 shades of gray to given file
(define (output-pgm image filename)
(when (file-exists? filename)
(delete-file filename))
(call-with-output-file
filename
(lambda (file)
(fprintf file "P2~%#~%~a ~a~%3~%"
(get-width image)
(get-height image))
(vector-for-each
(lambda (index pixel)
(fprintf file "~a " pixel)
(when (= 0 (modulo index (get-width image)))
(newline file)))
(get-pixels image)))))
(call-with-input-file
"day-5.input"
(lambda (file)
(let [(lines (read-lines file))]
(let [(image (additively-rasterize lines #f))]
(output-pgm image "day-5-p1.pgm")
(printf "part 1:~% dangerous areas = ~a~%"
(count-crossings image)))
(let [(image (additively-rasterize lines #t))]
(output-pgm image "day-5-p2.pgm")
(printf "part 2:~% dangerous areas = ~a~%"
(count-crossings image))))))