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oliveirabruno01
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intersection-count-pixmap-CoT

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Alright, let's get to work and investigate this image for intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#9fa947ff b,#dd4057ff c,#898f0cff d,#e7dbc7ff e,#a9c48aff f,#da7b84ff g,#b1d7b1ff ``` ```image cg cd dcd dc ec ec ac ac cc cc cc cc ca ca ce cg dcd eggggggggggggggggggggggggggggggggggecegggg eggggggggggggggggggggggggggggggggggecggggg aad eggggggggggggggggggggggggggggggggggacggggg accccad eggggggggggggggggggggggggggggggggggacggggg gca dccccad eggggggggggggggggggggggggggggggggggacggggg dcc dcccccdeggggggggggggggggggggggggggggggggggccggggg cc dccccceggggggggggggggggggggggggggggggggccggggg cc dcccccggggggggggggggggggggggggggggggccggggg ccd egecccgggggggggggggggggggggggggggggccggggg aca egggaceggggggggggggggggggggggggggggccggggg dcc eggggccggggggggggggggggggggggggggggcabgggg cc eggggaceggggggggggggggggggggggggggfccbfggg cc egggggccggggggggggggggggggggggggfbbcaggggg ccd egggggacegggggggggggggggggggggfbbbeceggggg ace eggggggccgggggggggggggggggggbbbbggeceggggg eca eggggggacegggggggggggggggebbbbggggecgggggg dcc egggggggccgggggggggggggebbbfggggggecgggggg cc egggggggaceggggggggggfbbbfggggggggacgggggg cc eggggggggccggggggggfbbbeggggggggggacgggggg ccd eggggggggacegggggbbbbgggggggggggggccgggggg ace egggggggggccgggbbbbgggggggggggggggccgggggg eca egggggggggacebbbfgggggggggggggggggccgggggg dcc egggggggggfccbfgggggggggggggggggggccgggggg cc egggggggfbbbceggggggggggggggggggggccgggggg cc egggggbbbbegccggggggggggggggggggggcagggggg ccd egggbbbbggggacegggggggggggggggggggcagggggg aca eebbbfgggggggccgggggggggggggggggggcagggggg dcc dbbbfgggggggggeceggggggggggggggggggcegggggg cc fbbbfggggggggggggccggggggggggggggggggcegggggg cc fbbbdegggggggggggggeceggggggggggggggggecggggggg ccd bbbb eggggggggggggggccggggggggggggggggecggggggg acg dbbbf eggggggggggggggecegggggggggggggggacggggggg eca dbbbf egggggggggggggggccgggggggggggggggacggggggg dcc fbbbd egggggggggggggggeceggggggggggggggacggggggg cc fbbbd eggggggggggggggggccggggggggggggggccggggggg cc bbbb gce cc ccd bbbf cc cc ace dbbf dce cc eca dbb cc ca dcc fbb dce ca e fbb cc ce bbf dce ce bbf cc cd bbd dce dcd dbb cc dc dbb dce ec fbb cc ec bbb dce ac bbf cc ac bbf dce cc bbd cc cc dbb dce cc dbb cc cc fbb dce ca bbb cc ca bbf ca ce bd cc cg ca cd ccdc ccc ccc cc cc ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#9d9a31ff b,#de4058ff c,#898f0bff d,#dacfacff e,#b8bb6cff f,#ea8998ff g,#f0e3d9ff ``` ```image gcccg gcccg dccc dccc dcca ecca ecca ecce ecce acce acce accd eg cccd ccaed cccd cccccaed gcccg ccccccccce gcccg deacccccce dccc geaccccg dccc dccce dccc ecccg ecca gccce ecca gd ecccg eccafbb gccce eccabbbf ecccg daccabbbf gccce fbbcccabf ecccg gfbbbbccce gccce gfbbbbbbcccd ecccg gfbbbbbbfgcccd gccce dbbbbbbbfg gcccg ecccg fbbbbbbbfg gcccg gccce gfbbbbbbbf gcccg ecccg gfbbbbbbbd dccc gccce gfbbbbbbfg dccc ecccg dbbbbbbbfg dcca gccce fbbbbbbbfg ecca ecccg gfbbbbbbbf ecca ccce gfbbbbbbbd ecce ecccg gfbbbbbbfg ecce ccce dbbbbbbbfg acce ecccg dbbbbbbbfg acce ccce fbbbbbbbf cccd ecccg gfbbbbbbbd cccd ccca gfbbbbbbfg cccd ecccdfbbbbbbfg gcccg ccccbbbbbfg gcccg facccbbbf dccc gfbbbcccad dccc gfbbbbbacccd dccc gfbbbbbbfgacca ecca dbbbbbbbfg dcccd ecca fbbbbbbbfg acca ecca gfbbbbbbbf dcccd ecce gfbbbbbbbd acca acce gfbbbbbbfg dcccd acce dbbbbbbbfg acca accd bbbbbbfg dcccd cccd bbbbf acca cccd bbd dcccd gcccg g acca gcccg dcccd gcccg acca dccc dcccd dccc acca dcca dcccd ecca acca ecca dcccd ecce acca ecce dcccd acce acca acce dcccd cccd ``` <!-- end of image --> There is 2 intersections point visible in this close-up of area A. Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9fa339ff b,#de4159ff c,#898f0cff d,#d8d1a9ff e,#babd72ff f,#ea8695ff g,#eee6d7ff ``` ```image cd cd gcg dc dc ec ac ac cc cc cc cc ca ce ce cd gcg gcg dc aag ec accccag ec dca dccccag ac gcc dccccag cc cc dcccccg cc ccg dccccc cc acd gccc cc ece ecg ca dcc cc cab cc ecg dccbf cc cc fbbce ccg ecg fbbbgcd acd cc bbbbg gcg eca ecg gbbbb dc gcc cc dbbbf dc cc ecg fbbbf ec cc cc fbbbg ac ccg ecg bbbbg ac ace cc gbbbb cc dca ecdbbbf cc gcc fccbf cc cc fbbbcd cc cc bbbbg cc ca ccd gbbbb dcd ce ece gbbbf cc ce dca fbbbf dcd cd gcc fbbbd cc gcg cc fbbbg dcd gcg ccg bbbb cc dc acd gbbbf dcd ec eca dbbbf cc ec gcc fbbbd dcd ac cc fbbbg cc cc cc bbbbg dcd cc ccg bbbb cc cc ace gbbf dcd cc eca dbb cc ca gcc fbb dcd ca e bbb cc ce bbf gce cd bbf cc cd bbg gce gcg gbbg cc dc dbb gce dc fbb cc ec bbb gce ac bbf cc ac bbf gce cc bbg cc cc gbbg gce cc fbb cc cc fbb gce ca bbb cc ce bbf gce ce bf cc cd gcegcg ccgcg gccc ccc cc cc ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#f48a63ff b,#c3579fff c,#f4d4d8ff d,#c58eb0ff e,#b1d7b1ff f,#dfae8aff g,#96c995ff ``` ```image geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeee c geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeee faa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeee aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaaeee faaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaabbee aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaabeee aaaf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebaaaeeee caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaaaaeeee aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebaaafeeee faaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaaaeeeee aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbaaaeeeee aaaf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbaaaeeeee caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbaaafeeeee aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbdaaaeeeeee faaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeaaaeeeeee aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbefaaaeeeeee faaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeaaafeeeeee caaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbeeeaaaeeeeeee aaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbdeeeaaaeeeeeee aaaaf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeefaaaeeeeeee aaaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeaaafeeeeeee aaaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeaaaeeeeeeee faaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbeeeeeeaaaeeeeeeee caaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbdeeeeeeaaaeeeeeeee caaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeefaafeeeeeeee aaaaf geeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeeaaaeeeeeeeee aaaaf geeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeeeaaaeeeeeeeee aaaaa geeeeeeeeeeeeeeeeeeeeeeeeedbbbeeeeeeeeeaaaeeeeeeeee aaaaa geeeeeeeeeeeeeeeeeeeeeeeedbbbdeeeeeeeefaafeeeeeeeee faaaa geeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeeeeaaaeeeeeeeeee caaaac geeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeeeeeaaaeeeeeeeeee caaaac geeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeeeeeeaaaeeeeeeeeee aaaaf geeeeeeeeeeeeeeeeeeeeedbbbeeeeeeeeeeefaaaeeeeeeeeee aaaaf geeeeeeeeeeeeeeeeeeeedbbbdeeeeeeeeeeeaaafeeeeeeeeee aaaaa geeeeeeeeeeeeeeeeeeebbbbbeeeeeeeeeeeeaaaeeeeeeeeeee faaaa geeeeeeeeeeeeeeeeeebbbbbeeeeeeeeeeeeeaaaeeeeeeeeeee faaaa geeeeeeeeeeeeeeeeebbbbdeeeeeeeeeeeeefaaaeeeeeeeeeee caaaageeeeeeeeeeeeeeedbbbbdeeeeeeeeeeeeeeaaafeeeeeeeeeee caaaafeeeeeeeeeeeeebbbbbeeeeeeeeeeefffaaaaaeeeeeeeeeeee aaaafeeeeeeeeeeebbbbbfaaaaaaaaaaaaaaaaaaaeeeeeeeeeeee aaaaaffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffeeeeeeeeeeeeeeee gaaaaaaaaaaaaaaaaafffeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gefaffffebbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeeebbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeebbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeedbbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeebbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geebbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gebbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gbbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cbbbbcgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cbbbbd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbbbbc bbbbb bbbbb bbbbd cbbbbc dbbbb bbbbb bbbbb cbbbbd dbbbbc bbbbb bbbbb bbbbd cbbbbc dbbbbc bbbbb bbbbb cbbbbd dbbbbc cbbbb cbb d ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f48a62ff b,#c3579fff c,#f9c9b7ff d,#cf7ab3ff e,#f7e2e5ff f,#f6a88aff g,#dea4ccff ``` ```image ffe aaaafe caaaaa faaaaf aaaaac caaaaa faaaaf aaaaaad aaaaabbd aaaaabg eaaaaad ebaaaad dbaaaae bbaaaaa ebbaaaaa ebbbaaaaa gbbbaaaaaf gbbbbaaaaac bbbbbaaaaae ebbbbbaaaaa gbbbbbaaaaac gbbbbbbaaaaae bbbbbbdaaaaa ebbbbbd aaaaf dbbbbbe eaaaae gbbbbbg caaaa ebbbbbb faaaf bbbbbbe eaaaae dbbbbbe caaaa gbbbbbg faaaa ebbbbbb faaaa bbbbbbe caaaaa dbbbbbe caaaaf gbbbbbg faaaac ebbbbbb eaaaaa dbbbbbb caaaaf bbbbbbe faaaaf gbbbbbg aaaaac ebbbbbb aaaaa dbbbbbb aaaaf bbbbbbe aaaac gbbbbbg eaaaae ebbbbbd faaaa dbbbbbe aaaaa dbbbbbb eaaaaa ebbbbbg faaaaf ebbbbbd aaaaac dbbbbbe eaaaaae dbbbbbb caaaaa bbbbbbg faaaac ebbbbbd aaaaae dbbbbbe aaaaa gbbbbbb aaaac bbbbbbg aaaae edbbbbbd eaaaa ebbbbbbb caaaf bbbbbbbe aaaac dbbbbbbd eaaaae edbbbbbbd caaaa e bbbbbbbg faaaa aa gbbbbbbbe eaaaaa aac edbbbbbbde eecccfffaaaaaaa aaac bbbbbbbg eecccfffaaaaaaaaaaaaaaaaaf aaaaa eeccccfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae aaaaafcccfffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffccceee faaaaaaaaaaaaaaaaaaaaaaaafffccccee faaaaaaaaaaaaaaaaabbee cffffccceeebbbbbbbg gbbbbbbbg bbbbbbbd edbbbbbbd ebbbbbbbg gbbbbbbb edbbbbbbde ebbbbbbbg bbbbbbbg dbbbbbbde dbbbbbbd ebbbbbbb bbbbbbbe bbbbbde bbbbb bbbbg bbe bd g ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f48a62ff b,#c357a0ff c,#f9c6b3ff d,#d68cbeff e,#e9c3ddff f,#f6a689ff g,#f9e4e3ff ``` ```image fc aaag g aaa faa gaaa aaag faaf faaa aaabd aaa aaab aaac baaa gaaa daaaa aaag ebaaac faaa bbaaa aaa bbbaaa aaac bbbbaaa gaaa dbbbaaac aaag ebbbdaaa faaa bbbb aaa aaaa bbbb caaa caaaa bbbb aaac gaaaag dbbbe aaa gaaaac ebbbd aaa aaaaf bbbb gaaa aaaaa bbbb faac aaaaa bbbb aaa faaaa dbbbe aaa caaaag ebbbd gaaa gaaaag bbbb faaf aaaac bbbb aaag aaaaf bbbb aaa aaaaa dbbbg gaaa faaaa ebbbd faaf faaaa bbbb aaag caaaag bbbb aaa gaaaac bbbb gaaa aaaac dbbbg caaf aaaaf dbbbd aaag aaaaa bbbbb aaa faaaa bbbbb aaa caaaa gbbbbd caaf caaaag ebbbbe aaac gaaaac dbbbbg gccffaaaa aaaaf bbbbbffaaaaaaaaaaaaaaaaaa aaaafcffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffccgg faaaaaaaaaaaaaaaffccgg cffccggbbbbb bbbbb gbbbbd ebbbbe dbbbbg bbbbb bbbbb ebbbbd dbbbbg bbbbb bbbbb gbbbbd ebbbbe dbbbbg bbbbb bbbbb gbbbbd dbbbbe bbbbb bbbbb gbbbbd ebbbbe dbbbbg bbbbb bbbbb gbbbbd dbbbbe bbbbb bbbbb gbbbbd ebbbbe dbbbbg bbbbb bbbbb gbbbbd dbbbbe gbbbb ebb d ``` <!-- end of image -->
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This image seems promising for intersection detection. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#b4314bff b,#d5ba99ff c,#f1f4eeff d,#b2d7b1ff e,#c0757eff f,#a4cea3ff g,#e8d2c5ff ``` ```image b bb bb b b b b b b b g b gc b gc b gc b cg bc cg b g bc b b b bc b b b b gae bc b gae b b gae bc b gae b b gae gc b gae b b gae gc g gae cccccccccccbccccccccccccgccccccccccccccccccccccccccccccc cae ffffffffffbfffffffffffffffffffffffffffffffffffffffffffff cae ddddddddddbddddddddddddddddddddddddddddddddddddddddddddf cae dddddddddbdddddddddddddddbdddddddddddddddddddddddddddddf caa dddddddddbdddddddddddddddbdddddddddddddddddddddddddddddfcaa ddddddddbddddddddddddddddbdddddddddddddddddddddddddddddaa ddddddddbddddddddddddddddbdddddddddddddddddddddddddddaaf dddddddbdddddddddddddddddbdddddddddddddddddddddddddaaddf dddddddbdddddddddddddddddbdddddddddddddddddddddddaaddddf ddddddbddddddddddddddddddbdddddddddddddddddddddaaddddddf ddddddbddddddddddddddddddbdddddddddddddddddddaaddddddddf dddddbdddddddddddddddddddbdddddddddddddddddaafdddddddddf dddadbdddddddddddddddddddbdddddddddddddddaafdddddddddddf dddebddddddddddddddddddddbdddddddddddddaafdddddddddddddf dddfeddddddddddddddddddddbbbbbbbbbdddaafdddddddddddddddf dddbaddddddddddddddddddddddddddddddaabbbbbbbbbbbbbbbbbbbggccc ddddaddddddddddddddddddddddddddddeafdddddddddddddddddddfccggggbbbbbbbbbbbbbbggggc ddddaddddddddddddddddddddddddddeafdddddddddddddddddddddf cccb ddddaddddddddddddddddddddddddeafdddddddddddddddddddddddf b ddddebdddddddddddddddddddddeabdddddddddddddddddddddddddf b ddddfedddddddddddddddddddeabdddddddddddddddddddddddddddf b dddddadddddddddddddddddeabdddddddddddddddddddddddddddddf b dddddadddddddddddddddeaedddddddddddddddddddddddddddddddf b dddddadddddddddddddeaedddddddddddddddddddddddddddddddddf b dddddedddddddddddeaedddddddddddddddddddddddddddddddddddf gc dddddeeddddddddeaedddddddddddddddddddddddddddddddddddddf gc ddddddaddddddeaedddddddddddddddddddddddddddddddddddddddf cg ddddddaddddeaedddddddddddddddddddddddddddddddddddddddddf cg ddddddaddddadddddddddddddddddddddddddddddddddddddddddddf g ffffffaffffaffffffffffffffffffffffffffffffffffffffffffff b ccccccegcccacccccccccccccccccccccccccccccccccccccccccccc b gb a b a a b a a b a a b a a b eg a b ge a gc a a gc a a cg a a cg e a g bg e b ce e b a e b a e b a e b ece bbe ae ae ae ab eb gb ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#b42b48ff b,#d9bb98ff c,#f3e7e2ff d,#db9aa8ff e,#cc7283ff f,#be4b61ff g,#e5cbbdff ``` ```image gbc gbc cbg gbc gbc cbc cbg cbc cbg cbc gbc cbg cbg cbg gbc bg cbg bg gbc bg cd bg bb daa bc bb aafd cg gb dafd cb gb daaad gb gb dfaad bg gb daad gbc gb dfad bb cb dfaad gbc cb dfaadc bb cb faadc gbc cb gfadc e bb cb gfaac acbb b gfaaec abbc b gaaec aeb b gfaec afc bbbbbbbbbggggggcccccgfaae af cgggggbbbbbbbbbbbbefaafbbbbbgggggggcccccc fa ccccfaaebggggbbbbbbbbbbbbbbbbbbbbbbbgggg fac geaec cccccccggggggbbbbbbb dag geaac cae ceaaec af caaeg fa ceaeg eac ceaaf dag ceaafg gad eaafg cae ceafg af ceaag fa ceaafg dag caafg gad cdafg ae cdaaf ff cdaafd ea daafd dac dafd gad daad cae daafd ae daaad eac dfad dag daa gad dag cae dac ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b32a47ff b,#d9bb98ff c,#f3e6e0ff d,#da97a5ff e,#cc7083ff f,#bf4b62ff g,#e5cbbcff ``` ```image b bb bb b b b b b b b g b g b gc b cc b cc b g b g b b b b b b d b b gad b b gad b b gae gc b gae b b gae gc b gae b b cae gc g cae b g caf gc cc caf b cc caf gc cg caf b g caf gc g caf b b af gc b af b b fa gc b fa b b fac gc b fac f b b fac dbc b fac cf bbbbbggggcccfac ga ccfabggbbbbbbbbbbbbbgggcccc ca eac ccccggggbbbbbbbbbbbbggggcc a eac ccb f eag b dg eag b ce eag b a eag b a dag b a dag g e dad g gd dad cc e dad cc a dad cg a a g a a b ec a b gd a b f a b a a b a a b f a b dc a g cd a g f a cc a f cc a f g f f g dg f b ce f b a e b a e b a e b ece gde fe ad ad ad ed gd ``` <!-- end of image -->
[ "" ]
I'm ready to tackle this image and find those intersections! I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#5b1754ff b,#b2d8b1ff c,#968593ff d,#eff6edff e,#a7ef6fff f,#a1cf9fff g,#713f6bff ``` ```image bee deee eeeed beeeeb eeeeee eee bee beeb eed eee eee eeed eee beeb deed ffffffffffffeeeffffffeeefffffffffffffffd bbbbbbbbbbbeeebbbbbbbeeebbbbbbbbbbbbbbfd bbbbbbbbbbfeeebbbbbbbeeebbbbbbbbbbbbbbfd bbbbbbbbbbeeebbbbbbbbbeefbbbbbbbbbbbbbfd bbbbbbbbbeeebbbbbbbbbbeeebbbbbbbbbbbbbfd bbbbbbbbfeeebbbbbbbbbbeeebbbbbbbbbbbbbfd bbbbbbbbeeebbbbbbbbbbbfeebbbbbbbbbbbbbfd bbbbbbbeeefbbbbbbbbbbbbeeebbbbbbbbbbbbfd caa bbbbbbbeeebbbbbbbbbbbbbeeebbbbbbbbbbbbfd aaa bbbbbbeeebbbbbbbbbbbbbbeeebbbbbbbbbbbbfd aaa bbbbbeeefbbbbbbbbbbbbbbbeefbbbbbbbbbbbfd aac bbbbbeeebbbbbbbbbbbbbbbbeeebbbbbbbbbbbfd aab bbbaeeebbbbbbbbbbbbbbbbbeeebbbbbbbbbbbfd baa bbaeeefbbbbbbbbbbbbbbbbbfeebbbbbbbbbbbfd caa bbfeeeaabbbbbbbbbbbbbbbbbeeebbbbbbbbbbfd aaa bbeeeaaaagbbbbbbbbbbbbbbbeeebbbbbbbbbbfd aag bbbefbgaaaacbbbbbbbbbbbbbeeeebbbbbbbbbfd aac bbbbbbbbaaaaacbbbbbbbbbbbbeeeebbbbbbbbfd daad bbbbbbbbbfaaaaabbbbbbbbbbbbeeeefbbbbbbfd baa bbbbbbbbbbbcaaaagbbbbbbbbbbbeeeeebbbbbfd gaa bbbbbbbbbbbbbgaaaacbbbbbbbbbbbeeeebbbbfd aaa bbbbbbbbbbbbbbbaaaaacbbbbbbbbbbeeeeebbfd aag bbbbbbbbbbbbbbbbfaaaaafbbbbbbbbbfeeeebfd aac bbbbbbbbbbbbbbbbbbcaaaagbbbbbbbbbbeeeefd daad bbbbbbbbbbbbbbbbbbbbgaaaacbbbbbbbbbeeeee caa bbbbbbbbbbbbbbbbbbbbbbaaaaacbbbbbbbbbeeee gaa bbbbbbbbbbbbbbbbbbbbbbbfaaaaafbbbbbbbbeeeed aaa bbbbbbbbbbbbbbbbbbbbbbbbbcaaaagbbbbbbbfbeeee aag bbbbbbbbbbbbbbbbbbbbbbbbbbbgaaaagbbbbbfddeeeed aac bbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaabbbbfd eeeeb daad bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfaaaabbbfd beeee caa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaabbfd eeeed gaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaabfd eeeee aaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaafd deeee aag bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaad eeeed aab bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaa beeee daad fffffffffffffffffffffffffffffffffffffaaaa deeeed caa aaaa eeeeb ddddddddddddgaadddddddd aaaa beeee dffffffffffffaaaffffffff aaaa eeeed dfbbbbbbbbbbbaagbbbbbbbf aaaa eeeeb dfbbbbbbbbbbbaacbbbbbbbf aaaa deeeedfbbbbbbbbbbfaabbbbbbbbf aaaa eeeefbbbbbbbbbbcaabbbbbbbbf aaaa beeeebbbbbbbbbaaabbbbbbbbf aaaa deeeebbbbbbbbaaabbbbbbbbf gaaa deeeefbbbbbbaagbbbbbbbbf gaaa dffeeeebbbbbaacbbbbbbbbf gaaa dfbbeeeebbbcaabbbbbbbbbf gaaa dfbbbeeeeebgaabbbbbbbbbf gaaa dfbbbbfeeeeaaabbbbbbbbbf gaaa dfbbbbbbeeeegabbbbbbbbbf gaaa dfbbbbbbbeeeeebbbbbbbbbf gaaa dfbbbbbbbbfeeeebbbbbbbbf gaaa dfbbbbbbbbcaeeeefbbbbbbf gaaa dfbbbbbbbbgaaeeeeebbbbbf gaaa dfbbbbbbbbaaabbeeeebbbbf gaaa dfbbbbbbbbaaabbbeeeeebbf gaaa dfbbbbbbbbaacbbbbfeeebbf gaaadfbbbbbbbbaafbbbbbbefbbf gaaafbbbbbbbcaabbbbbbbbbbbf gaaabbbbbbbgaabbbbbbbbbbbf gaaabbbbbbaaabbbbbbbbbbbf gaaabbbbbaagbbbbbbbbbbbf dgaaabbbbaacbbbbbbbbbbbf dfgaaabbfaafbbbbbbbbbbbf dffgaaafcaafffffffffffff dddgaaagaaddddddddddddd gaaaaa gaaag gaac ca ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5b1854ff b,#c5f49fff c,#81527aff d,#e3f9d1ff e,#a7ef6eff f,#af8facff g,#dccedaff ``` ```image eeeeee eeeeed beeeeed beeeeb deeeeeb deeeee eeeeeed eeeeed beeeeed eeeeeb deeeeeb beeeee eeeeeed deeeee beeeeeb eeeeed deeeeee beeeeb eeeeeed deeeee beeeeeb eeeeed deeeeee eeeeeb eeeeeed beeeee beeeeeb deeeee deeeeee eeeeed eeeeeed beeeeb beeeeeb deeeee deeeeee eeeeed eeeeeed eeeeeb beeeeeb beeeee deeeeee deeeee beeeeed eeeeed beeeeeb beeeeb deeeeee deeeee fcgbeeeeed eeeeed aaceeeeeb eeeeeb faaeeeeee beeeee gaaeeeeeeb deeeee faceeeeeeacg eeeeed geeeeeeaaaaf beeeeb beeeeecaaaaaaf deeeee deeeeeeaaaaaaaacg eeeeed dbeeeedfaaaaaaaaacg eeeeeb deeb gcaaaaaaaaaf beeeeeb b gcaaaaaaaaaf deeeeeeed faaaaaaaaacg beeeeeeeb faaaaaaaaacg beeeeeeeed gcaaaaaaaaaf deeeeeeeed gcaaaaaaaaaf dbeeeeeeeb faaaaaaaaacg beeeeeeeed faaaaaaaaacg deeeeeeeeb gcaaaaaaaaaf beeeeeeeb gcaaaaaaaaaf beeeeeeeed faaaaaaaaacg deeeeeeeeb faaaaaaaaacg beeeeeeeed gcaaaaaaaaaf deeeeeeeed gcaaaaaaaaaf deeeeeeeeb faaaaaaaaacg beeeeeeeed faaaaaaaaacg deeeeeeee gcaaaaaaaaaf beeeeee gcaaaaaaaaaf beeeee faaaaaaaaacg deeee faaaaaaaaacg bee gcaaaaaaaaaf de gcaaaaaaaaaf d faaaaaaaaacg faaaaaaaaacg gcaaaaaaaaaf gcaaaaaaaaag faaaaaaaaag faaaaaaaag gcaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaag gaaaaaaa gaaaaaa gaaaaa gaaaa ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Onward to the next region of interest. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a1653ff b,#c8f5a4ff c,#9c7b95ff d,#e6ebdeff e,#a7ef6eff f,#bfa5bcff g,#794572ff ``` ```image aaaaad daaaaa faaaag caaaag gaaaac gaaaaf aaaaad daaaaa b faaaag eed caaaac eeeb gaaaac eeeeed aaaaaf eeeeeeb daaaaad eeeeeeeb faaaaa beeeeeeeed faaaag deeeeeeeeb caaaac beeeeeeeb gaaaaf beeeeeeeed aaaaaf deeeeeeeeb daaaaad beeeeeeeed faaaaa beeeeeeeed faaaag deeeeeeeeb caaaac beeeeeeeed gaaaaf deeeeeeeebaaaaaf dbeeeeeeeeaaaad beeeeeeeegaa deeeeeeeecg beeeeeeeed beeeeeeeed deeeeeeeeb daceeeeeeeed faageeeeeeeeb caaaaeeeeeeeeb caaaacbeeeeeeeed gaaaaf deeeeeeeeb aaaaad beeeeeeeed daaaaa beeeeeeeed faaaag deeeeeeeeb caaaag beeeeeeee gaaaac deeeeeeb gaaaaf deeeee aaaaad beed f daaaaa db af faaaag aaf caaaag aaaf gaaaac aaaaf gaaaaf aaaaaf daaaaad aaaaaaf daaaaa gaaaaaaf faaaag dgaaaaaaf caaaac dgaaaaaaf gaaaac dgaaaaaaf aaaaaf dgaaaaaaf daaaaad dgaaaaaaf faaaaa dgaaaaaaf faaaag ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area B! Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5a1754ff b,#c5f4a0ff c,#986e94ff d,#e4f0d8ff e,#a7ef6eff f,#c2a9bfff g,#71376aff ``` ```image beb eee eeee beeeeb eeeeee eee bee beeb eed eee eee eee eee deeb dee eee eeb eeed eee deeb bee eee eed eeed eee deee eee eee dee eeed eeb caa deee eee aaa eee bee aaa beed eed aac deee eee aaf aeee eee faa aeeeb dee caa deeeaa eeb aaa eeeaaaag eee aag eb caaaac beeb aac gaaaaf eeee aad daaaaa eeeed faa faaaag beeee caa caaaac eeee aaa gaaaaf eeeeb aag daaaaa deeee aac faaaag eeeed daad caaaac beeeb faa gaaaaf deeee gaa daaaaa eeeed aaa faaaag beeee aag caaaac eeee aaf gaaaa eeeeb daad daaaa deeee faa aaaa eeeed gaa aaaa beeeb aaa aaaa deeee aag aaaa eeeed aaf aaaa beeee daa aaaa deeee caa aaaa eeeeb gaa aaaa beeee aaa aaaa eeeed aac aaaa eeeeb aaf aaaa deeee daa gaaa eeeed caa gaaa beeee gaa gaaa deeee aaa gaaa eeeeb aac gaaa beeee aaf gaaa eeeed faa gaaa eeeeb caa gaaa deeeeaaa gaaa eeeega gaaa beeee gaaa deeee gaaa faeeeeb gaaa caabeeee gaaa aaa eeeed gaaa aag eeeeb gaaa aac deee gaaa aad ed gaaa faa gaaa caa gaaa aaa gaaa aag gaaa aac gaaa daad gaaa faa gaaagaa gaaaaa gaaag gaaf ca ``` <!-- end of image -->
[ "" ]
Let's examine this image for potential line intersections. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c0c5dff b,#9f6e13ff c,#718991ff d,#99c696ff e,#a79c58ff f,#b1d7b1ff g,#414569ff ``` ```image aaf faaa gaaa dddddddddddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fffffffffffffffffaaaagffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffffffffffffgaaaaaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ffffffffffffffffaaagaafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcacffd ffffffffffffffffaaadaacffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffd fffffffffffffffcaacfaaaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffd fffffffffffffffaaaffaaafffffffffffffffffffffffffffffffffffffffffffffffffffffffffdaagffd fffffffffffffffaaaffcaadffffffffffffffffffffffffffffffffffffffffffffffffffffffffgaadffd ffffffffffffffdaagfffaagffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaafffd ffffffffffffffgaaffffaaaffffffffffffffffffffffffffffffffffffffffffffffffffffffffaagfffd ffffffffffffffaaaffffgaafffffffffffffffffffffffffffffffffffffffffffffffffffffffgaaefffd ffffffffffffffaagffffdaagffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffd fffffffffffffcaadfffffaaaffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffd fffffffffffffaaaffffffaaafffffffffffffffffffffffffffffffffffffffffffffffffffffcaabffffd fffffffffffffaaaffffffcaacffffffffffffffffffffffffffffffffffffffffffffffffffffaaafffffd ffffffffffffdaacfffffffaaaffffffffffffffffffffffffffffffffffffffffffffffffffffaaafffffd ffffffffffffgaaffffffffaaafffffffffffffffffffffffffffffffffffffffffffffffffffdaagfffffd ffffffffffffaaaffffffffgaadffffffffffffffffffffffffffffffffffffffffffffffffffgaaefffffd ffffffffffffaagfffffffffaagffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffd fffffffffffgaadfffffffffaaaffffffffffffffffffffffffffffffffffffffffffffffffffaagffffffd fffffffffffaaaffffffffffgaafffffffffffffffffffffffffffffffffffffffffffffffffgaaeffffffd fffffffffffaaaffffffffffdaacffffffffffffffffffffffffffffffffffffffffffffffffaaafffffffd ffffffffffcaacfffffffffffaaaffffffffffffffffffffffffffffffffffffffffffffffffaaafffffffd ffffffffffaaaffffffffffffaaafffffffffffffffffffffffffffffffffffffffffffffffcaabfffffffd ffffffffffaaaffffffffffffcaacffffffffffffffffffffffffffffffffffffffffffffffaaadfffffffd ffffffffffaagfffffffffffffaagffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffd fffffffffgaaffffffffffffffaaaffffffffffebbfffffffffffffffffcgaaaffffffffffdaagffffffffd fffffffffaaaffffffffffffffgaafffffffffbbbbffffffffffffffgaaaaaaaffffffffffaaaeffffffffd fffffffffaagfffffffffffffffaagfffffffbbbbbdfffffffffcaaaaaaaaaaadfffffffffaaafffffffffd ffffffffcaacfffffffffffffffaaaffffffbbbbbbefffffdgaaaaaaaaacfcaadfffffffffaagfffffffffd ffffffffaaaffffffffffffffffaaaffffdbbbbfbbeffcaaaaaaaaagfffffdaacffffffffgaaefffffffffd ffffffffaaaffffffffffffffffcaacffebbbbffbbaaaaaaaaagcffffffffdaacffffffffaaadfffffffffd fffffffdaacfffffffffffffffffaaafbbbbefgaaaaaaaaacfffffffffffffaacffffffffaaaffffffffffd fffffffgaaffffffffffffffffffaaabbbbaaaaaaaaagdffffffffffffffffaacfffffffcaabffffffffffd fffffffaaaffffffffffffffffffcaagaaaaaaaaagbfffffffffffffffffffaagfffffffaaaeffffffffffd fffffffaagffffffffffffffffffdaaaaaaaagffebbfffffffffffffffffffaagfffffffaaafffffffffffd ffffffcaadfffffffffffffffffebaaaagcfffffdbbdffffffffffffffffffaagffffffcaagfffffffffffd ffffffaaafffffffffffffffffebbbgffffffffffbbeffffffffffffffffffaagffffffaaaefffffffffffd ffffffaaaffffffffffffffffbbbbefffffffffffbbeffffffffffffffffffaaaffffffaaaffffffffffffd fffffcaacfffffffffffffffbbbbdffffffffffffbbbffffffffffffffffffaaaffffffaagffffffffffffd fffffaaafffffffffffffffbbbbffffffffffffffbbbffffffffffffffffffaaafffffgaabffffffffffffd fffffaaafffffffffffffdbbbbfffffffffffffffbbbffffffffffffffffffaaafffffaaadffffffffffffd fffffaagffffffffffffebbbbffffffffffffffffbbbffffffffffffffffffaaafffffaaafffffffffffffd ffffgaaffffffffffffbbbbefffffffffffffffffebbffffffffffffffffffaaaffffcaabfffffffffffffd ffffaaafffffffffffbbbbdffffffffffffffffffebbffffffffffffffffffaaaffffaaaefffffffffffffd ffffaaaffffffffffbbbbffffffffffffffffffffdbbdfffffffffffffffffaaaffffaaaffffffffffffffd fffcaacffffffffdbbbbffffffffffffffffffffffbbefffffffffffffffffaaafffcaagffffffffffffffd fffaaaffffffffebbbbfffffffffffffffffffffffbbefffffffffffffffffgaafffaaabffffffffffffffd fffaaafffffffebbbeffffffffffffffffffffffffbbbfffffffffffffffffgaafffaaadffffffffffffffd ffdaacffffffbbbbdfffffffffffffffffffffffffbbbfffffffffffffffffgaaffdaagfffffffffffffffd ffgaaffffffbbbbdffffffffffffffffffffffffffbbbfffffffffffffffffgaaffgaabfffffffffffffffd ffaaafffffbbbbffffffffffffffffffffffffffffbbbfffffffffffffffffcaaffaaaefffffffffffffffd ffffcfffdbbbbfffffffffffffffffffffffffffffebbfffffffffffffffffcaaffaaaffffffffffffffffd fffffffebbbeffffffffffffffffffffffffffffffdbbdffffffffffffffffcaadcaabffffffffffffffffd ffffffbbbbeffffffffffffffffffffffffffffffffbbeffffffffffffffffdaadaaaeffffffffffffffffd fffffbbbbdfffffffffffffffffffffffffffffffffbbeffffffffffffffffdaacaaafffffffffffffffffd ffffbbbbfffffffffffffffffffffffffffffffffffbbbfffffffffffffffffaagaabfffffffffffffffffd ffdbbbbffffffffffffffffffffffffffffffffffffbbbfffffffffffffffffaaaaabfffffffffffffffffd ffbbbbfffffffffffffffffffffffffffffffffffffbbbfffffffffffffffffaaaaadfffffffffffffffffd fffbeffffffffffffffffffffffffffffffffffffffbbbfffffffffffffffffaaaagffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffebbfffffffffffffffffaaaabffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffebbfffffffffffffffffaaaaeffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffdbbdffffffffffffffffaaaafffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffbbeffffffffffffffffaaabfffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffbbbffffffffffffffffaaabfffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffbbbffffffffffffffffaaadfffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffbbbffffffffffffffffbbbffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffbbbffffffffffffffffbbbffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffebbdffffffffffffffdbbeffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffebbbbeffffffffffffbbbfffffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffffbbbbbbeffffffffffbbbfffffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffffffebbbbbbffffffffbbefffffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffffffffebbbbbbdffffebbffffffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffffffffffdbbbbbbeffbbbffffffffffffffffffffffd fffffffffffffffffffffffffffffffffffffffffffffffffffffdbbbbbbebbbffffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbbbbbeffffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffebbbbfffffffffffffffffffffffd ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffebefffffffffffffffffffffffd dfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b0b5dff b,#a06e12ff c,#9c9cbdff d,#666596ff e,#bd9c61ff f,#d9d0c4ff g,#373164ff ``` ```image caaaaa aaaaaa faaaaaa gaaaaaad f aaaagaag adf aaaafaaac aaa caaac daaa daaa daaa caaa aaag faaac aaa daaae caaaf aaaf gaaaf aaaa gaag aaae aaaa daaa aaaf aaad aaad caaa faaac aaaa daaa gaag aaaa faaag faaad gaaa daaae daaa faaac aaaa aaaa gaag aaaa aaaa caaac aaag faaac aaaa daaae caaaf aaaa aaagf aaad gaaa daaae aaac daaaf gaaaf aaa aaad aaaa faaa daaa aaaa gaag aaad caaab faaad aaag daaae daaa aaaa faaag aaad gaaa daaae aaa caaac aaaa aaa aaad aaaa caaa caaaf aaag aaad aaag daaae caaac aaaa bb dgd aaagf aaaa aaaa ebbbb fcaaaaaaaa daaab aaaa daaa fbbbbb daaaaaaaaaa gaaae aaag aaad fbbbbbbf caaaaaaaaaaaaaaa aaaa faaad gaag ebbbbbbbf fdaaaaaaaaaaagdaaaa aaaa daaa faaa ebbbbebbbe cgaaaaaaaaaaacf aaaa caaab aaad aaa bbbbbf bbbe fcaaaaaaaaaaagd aaaa daaae daaa aaac ebbbbb bbggaaaaaaaaaaadf aaaa aaagf gaaa aaad bbbbbe fgaaaaaaaaaaaac aaaa aaab aaaa caaafbbbbbbcgaaaaaaaaaaadc aaaa faaaf aaag faaadbbbbgaaaaaaaaaaaacf aaaa caaa caaac daaaaaaaaaaaaaaagbb gaaa aaag aaad faaaaaaaaaagc ebbb gaaa daaae faaac fbaaaaaaaadf fbbb daaa aaage gaaa ebbgaadc fbbbf daaa aaab aaaa ebbbbdf bbbf daaa aaae aaaa fbbbbbf bbbe daaa caaa aaad bbbbbb ebbe caaa gaaa daaa ebbbbb ebbb caaa caaab gaag bbbbbe fbbb caaa daaab caaaf bbbbbb fbbbf caaaf aaaaf gaaa fbbbbbf bbbf faaaf aaaa aaaa ebbbbe bbbe faaaf faaag aaaa ebbbbe bbbe faaac caaab faaac fbbbbbf bbbb aaac aaage gaag ebbbbe bbbb aaac daaab aaad ebbbbb bbbb aaac aaaae aaa fbbbbbf bbbb gaad aaaa aaa bbbbbb ebbb gaad aaag daaa ebbbbb ebbb daad caaab gaag bbbbbe fbbb daag gaaab caaaf fbbbbb bbbf daag caaabf daaa ebbbbe bbbf daag daaab aaac ebbbbe ebbe caaa aaaaf cda bbbbbf ebbe caaa aaaa fbbbbbf fbbb caaa faaag bbbbbe fbbbf caaa caaab bbbbbb bbbf faaa aaage fbbbbbf bbbe faaadaaab bbbbbe bbbe faaaaaaae bbbbb bbbb aaaaaaaf fbbbbbf bbbb aaaaaag bbbbb bbbb aaaaaab ebbe bbbb aaaaaab f ebbb aaaaabf ebbb aaaaabf fbbb aaaaae fbbbf aaaaaf bbbf aaaag bbbe aaaab ebbe aaage fbbb aaabf fbbbf gaab bbbf bbbf bbbe bbb bbbb fbbb bbbbe ebbb bbbbbbbe bbbe fbbbbbbbbf fbbbf fbbbbbbbbf bbbb fbbbbbbbbe bbbb fbbbbbbbbf bbbe ebbbbbbbe bbbe ebbbbbbbeebbb ebbbbbbbbf ebbbbbbb ebbbb fbbe ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 2; 2 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0b0b5dff b,#a06e13ff c,#9797b9ff d,#616093ff e,#c3a46bff f,#d7d0cbff g,#383060ff ``` ```image aaf faag gaaa aaaa aaaad daaaaa aaagaa cgf aaafaac aaa caac aaa aaa aaa aaa faag aaa caaf gaaf aad aag aaa daa aaa aag aaa daa daae aag aad aaa caaf aaa aaa aaa gaa caab aaa caac aaa faac aaa aaa gaa aaa faag aaa daaf gaaf aad aad aaa daaf aaa aag aaa gaa daae aaa faac aaa caac aaa aaa gaa aaa caab aaa caaf aaaf aad aag aaa daa aaa ebb fgaaa faag aaa daa bbbb daaaaaaa gaae aag aad bbbbbf caaaaaaaaaaa aaa caaf aaa bbbbbbe fdaaaaaaaaac faaf aag aaa gaa fbbbb bbe caaaaaaaaad faaf daae aaa faac ebbbb bbgaaaaaaaagf faac aaaf faac aaa ebbbe daaaaaaaaac aac aaa gaa aaabbbbaaaaaaaaadf aac caab aaa caagaaaaaaaaagb aad aaaf aad faaaaaaaad ebb aad aaa caaf fbaaaagf fbb aad faag aaa ebbbd bbf aag gaae aaa bbbbf bbe aag aaa faac bbbbf bbb aaa aag gaa bbbb bbb aaa daab aaa fbbbb bbb aaa aaaf aad ebbbe bbb aaa aag daa bbbbe ebb aaa caab aaa bbbbf ebb aaa aaae aag bbbb fbbf aaa aaa caaf fbbbb bbe gaa faag aaa fbbbb bbe gaa gaae aaa ebbbe bbb daa aaaf faac bbbbf bbb daa aag daa bbbb bbb daa daab aaa bbbb ebb caa aaaf c fbbbb ebb caa aag ebbbe fbbf caafcaab bbbbe bbf faafaaae bbbbf bbe faafaaa bbbb bbb aadaab fbbbb bbb aaaaab bbbb bbb aaaaaf be bbb aaaag ebb aaaab fbb aaaae fbbf aaag bbe aaab bbe aaab bbb aaaf bbb bbb bbb bbb ebbf fbbe ebbbbe ebb bbbbbbe bbb ebbbbbb bbe ebbbbbbf ebb fbbbbbbf bbb bbbbbbebbb bbbbbbbf ebbbb fbe ``` <!-- end of image -->
[ "" ]
Let's examine this image for potential line intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#902a36ff b,#9f4ac4ff c,#bc97c0ff d,#a57672ff e,#eff1efff f,#b2d7b2ff g,#a4cda2ff ``` ```image ce aaae daaaae eeeeeeeeeeeeeeeeeeeeeee eaaaaaa eggggggggggggggggggggggge aaaaaaaa egfffffffffffffffffffffge caaafcaaaaegfffffffffffffffffffffge aaaa daaaagfffffffffffffffffffffbe aaaa daaaaffffffffffffffffffffbbbe caaac aaaaaffffffffffffffffffbbbbc aaaa aaaaaffffffffffffffffbbbbb aaaa aaaadffffffffffffffcbbbbe eaaad eaaaadffffffffffffcbbbbge aaaa egaaaadffffffffffgbbbbfge daaae egfaaaadfffffffffbbbbffge eaaad egffaaaagfffffffbbbbfffge ce aaaa egffgaaaagfffffbbbbcfffge bbb caaaf egfffgaaaagfffbbbbcffffge ebbbb aaaa egffffgaaaaffbbbbbfffffge cbbbc aaaa egfffffdaaaabbbbbffffffge bbbbe caaac egffffffdaadbbbbfffffffge bbbb aaaa egfffffffdabbbbffffffffge ebbbb aaaa egffffffffbbbbaffffffffge cbbbc eaaad egfffffffbbbbaaafffffffge bbbbe aaaa egffffffbbbbaaaaaffffffge bbbb daaae egfffffbbbbcfaaaadfffffge ebbbb eaaad egffffbbbbcfffaaaadffffge cbbbc aaaa egfffbbbbbfffffaaaadfffge bbbbe caaae egffcbbbbfffffffaaaadffge bbbbgggggggggggggggggggggaaaa egfcbbbbfffffffffaaaagfge ebbbbfffffffffffffffffffaaaa eggbbbbffffffffffgaaaagge cbbbcfffffffffffffffffdaaac egbbbbffffffffffffgaaaage bbbbfffffffffffffffffaaaae ebbbbffffffffffffffgaaaae bbbbfffffffffffffffaaaage bbbbcfffffffffffffffdaaaa ebbbbfffffffffffffgaaadge bbbbcfffffffffffffffffdaaaa ebbbbcffffffffffffaaaafge bbbbbfffffffffffffffffffdaa egbbbbfffffffffffdaaagfge cbbbbfffffffffffffffffffffde egfbbbbfffffffffgaaaaffge cbbbbgfffffffffffffffffffffge egfcbbbbffffffffaaaafffge ebbbbegfffffffffffffffffffffge egffbbbbcffffffdaaagfffge ebbbb egfffffffffffffffffffffge egfffbbbbffffffaaaaffffge bbbb eggggggggggggggggggggggge egffffbbbbffffaaaafffffge bbbbe egffffcbbbbffdaaadfffffge bbbbe egfffffbbbbgfaaaaffffffge bbbbc egffffffbbbbaaaafffffffge bbbbb egfffffffbbbbaadfffffffge cbbbb egfffffffcbbbbaffffffffge cbbbb egffffffffbbbbcffffffffge ebbbb egfffffffgabbbbgfffffffge ebbbb egfffffffaaabbbbbffffffge bbbbe egffffffdaaacbbbbbbffffge bbbbe egffffffaaaaffbbbbbbbffge bbbbc egfffffaaaaffffcbbbbbbcge bbbbc egffffdaaadffffffcbbbbbbc cbbbb egffffaaaafffffffffcbbbbbbecbbbb egfffaaaaffffffffffffbbbbbbbbbb egffgaaadffffffffffffffbbbbbbb egffaaaafffffffffffffffgebbbb egfdaaagfffffffffffffffge ec eggaaaaffffffffffffffffge egaaaafffffffffffffffffge edaaagfffffffffffffffffge eaaaaffffffffffffffffffge aaaafffffffffffffffffffge caaadfffffffffffffffffffge aaaaggggggggggggggggggggge aaaaeeeeeeeeeeeeeeeeeeeeee eaaad aaaa daaae eaaad aaaa caaae aaaa aaaa caaac aaaa aaaa eaaad aaaa daaae eaaad aaa ee ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#902936ff b,#9f48c4ff c,#d9b7d4ff d,#a65563ff e,#efe1ecff f,#ba7cd4ff g,#c48e94ff ``` ```image f eaaa bc daaa bbe gaaaa bbb eaaaaa bbbf daaaaa bbbbc caaaaaa bbbbbe eaaaaaaa bbbbbf gaaaaaaa bbbbbbf caaaaaaag bbbbbbbc daaaaaad bbbbbbbbe gaaaaaaac ebbbbbbbf eaaaaaaag fbbbbbbbf daaaaaaae fbbbbbbbc gaaaaaaac ebbbbbbbbe eaaaaaaad cbbbbbbbf daaaaaaae fbbbbbbbf caaaaaaag fbbbbbbbc eaaaaaaad ebbbbbbbbe gaaaaaaae cbbbbbbbf caaaaaaag fbbbbbbbc daaaaaad fbbbbbbbe gaaaaaaac ebbbbbbbbe eaaaaaaag cbbbbbbbf daaaaaaae fbbbbbbbc gaaaaaaac fbbbbbbbe eaaaaaaad ebbbbbbbbe daaaaaaae cbbbbbbbf caaaaaaag fbbbbbbbc eaaaaaaad bbbbbbbbe gaaaaaaae ebbbbbbbb caaaaaaag cbbbbbbbfdaaaaaad fbbbbbbbdaaaaaac bbbbbbbbaaaaag ebbbbbbbbaaaae cbbbbbbbbaac fbbbbbbbdd ebbbbbbbbc cabbbbbbbb eaadbbbbbbbfe gaaabbbbbbbbbfe caaaaabbbbbbbbbbc daaaaaabbbbbbbbbbbc gaaaaaaafbbbbbbbbbbbbc eaaaaaaag cbbbbbbbbbbbbfe daaaaaaae efbbbbbbbbbbbbfe gaaaaaaac efbbbbbbbbbbbbfe eaaaaaaad efbbbbbbbbbbbbf daaaaaaae cbbbbbbbbbbbbbc caaaaaaag cbbbbbbbbbbbb eaaaaaaad cbbbbbbbbbb gaaaaaaae efbbbbbbbb caaaaaaag efbbbbbb daaaaaad efbbbb gaaaaaaac cbbb eaaaaaaag cb daaaaaaae gaaaaaaac eaaaaaaad daaaaaaae caaaaaaag eaaaaaaad gaaaaaaae caaaaaaag daaaaaad gaaaaaaac eaaaaaaag daaaaaaae gaaaaaaac aaaaaaad aaaaaaae aaaaaag aaaaad aaaaae ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! Let's continue our search in the next region. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#902935ff b,#9f48c4ff c,#d7b2cfff d,#a24c5cff e,#ebdaeaff f,#b97ad4ff g,#bd828aff ``` ```image c c ac fb aac cbb aaae cbbb aaaae ebbbb aaaade ebbbbb aaaaade ebbbbbb aaaaaad fbbbbbb aaaaaaad fbbbbbbb aaaaaaaad fbbbbbbbb caaaaaaaag cbbbbbbbbe caaaaaaaag cbbbbbbbbe caaaaaaaag ebbbbbbbbc gaaaaaaaag ebbbbbbbbc gaaaaaaaac ebbbbbbbbf gaaaaaaaac bbbbbbbbf gaaaaaaaac fbbbbbbbf daaaaaaaae fbbbbbbbbe daaaaaaaae fbbbbbbbbe edaaaaaaade cbbbbbbbbe edaaaaaaade cbbbbbbbbc eaaaaaaaad ebbbbbbbbc eaaaaaaaad ebbbbbbbbf caaaaaaaad ebbbbbbbbf caaaaaaaag fbbbbbbbf caaaaaaaagfbbbbbbbb caaaaaaabbbbbbbbbe gaaaaadbbbbbbbbe gaaadbbbbbbbbe gadbbbbbbbbc gbbbbbbbbf ebbbbbbbbbae bbbbbbbbbaaae fbbbbbbbbaaaade fbbbbbbbbaaaaaade fbbbbbbbbdaaaaaaad cbbbbbbbbeeaaaaaaaad cbbbbbbbbc caaaaaaaad ebbbbbbbbc caaaaaaaag ebbbbbbbbf caaaaaaaag ebbbbbbbbf caaaaaaaag fbbbbbbbf gaaaaaaaag fbbbbbbbb gaaaaaaaac fbbbbbbbbe gaaaaaaaac cbbbbbbbbe gaaaaaaaac cbbbbbbbbe daaaaaaaae ebbbbbbbbc daaaaaaaae ebbbbbbbbc edaaaaaaade ebbbbbbbbf edaaaaaaade bbbbbbbbf eaaaaaaaad fbbbbbbbf eaaaaaaaad fbbbbbbbbe caaaaaaaa fbbbbbbbbe caaaaaaa bbbbbbbbe caaaaaa bbbbbbbc caaaaa bbbbbbc gaaaa bbbbbf gaaa bbbbf gaa bbbf ga bbb g bbe be e ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#902935ff b,#9f49c5ff c,#dabad4ff d,#a55361ff e,#efe1edff f,#ba7cd4ff g,#c48d94ff ``` ```image g aaae daaaae eaaaaaa aaaaaaaa gaaacgaaaa aaaa gaaaa b aaaa daaaa bbbe caaag daaaa bbbbf aaaa aaaad fbbbf daaa aaaad fbbbb eaaag aaaag cbbbb aaaa aaaag ebbbb daaae aaaac ebbbb eaaad aaaac bbbbe ce aaaa eaaaae bbbbe bbb gaaac eaaaae bbbbc ebbbb aaaa caaaa bbbbf fbbbf aaaa caaaafbbbb bbbbe caaag gaadbbbb bbbb aaaa gdbbbb ebbbb daaa ebbbba fbbbc eaaag bbbbaaa bbbbe aaaa bbbbdaaad bbbb daaae bbbbc aaaad ebbbb eaaad bbbbf aaaag fbbbc aaaa fbbbf aaaag bbbb gaaac fbbbb aaaac bbbb aaaa cbbbb aaaac ebbbb aaaa ebbbb eaaaae fbbbc caaag ebbbb eaaaae bbbb aaaa bbbbe caaaa bbbb daaa bbbbe caaaa cbbbf eaaag bbbbc gaaaa fbbbc aaaa bbbbf gad bbbb daaae fbbbb g bbbb eaaad fbbbb cbbbf aaaa cbbbb fbbbe gaaac ebbbb bbbb aaaa bbbb bbbb aaaa bbbbe cbbbf caaag bbbbc bbbbe aaaa bbbbf bbbbdaaa fbbbf bbbbaag fbbbb cbbbba cbbbb bbbbc ebbbb eabbbbe ebbbb aaabbbbb bbbbe gaaafbbbbbb bbbbe aaaa ebbbbbbf bbbbc aaaa ebbbbbbf bbbbf caaag cbbbbbbc fbbbb aaaa fbbbbbbefbbbb daaa fbbbbbbbbb eaaag bbbbbbb aaaa ebbbb daaae ef eaaad aaaa gaaac aaaa aaaa caaag aaaa daaa eaaag aaaa daaae eaaad aaaa gaaac aaaa aaaa caaag aaaa daaa eaaag aaaa daaae eaaad daa ec ``` <!-- end of image -->
[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#037610ff b,#bfc628ff c,#8ec490ff d,#489b4cff e,#ecf3e4ff f,#d1da7cff g,#b1d7b0ff ``` ```image g e aaa fbb gcccccccccccaaacccccccccbbbfc cgggggggggggaaadgggggggbbbbgge cgggggggggggaaaaggggggfbbbggge cgggggggggggaaaaggggggbbbbggge bbf cgggggggggggaaaacggggbbbbgggge fbbbbf cggggggggggcaaaadggggbbbggggge bbbbbbbf cggggggggggcaaaaagggbbbbggggge ebbbbbbbbbf cggggggggggdaaaaaggbbbbgggggge bbbb fbbbbbbb cggggggggggdaaaaaggbbbfgggggge bbbe ebbbbbbb cggggggggggdaaaaadbbbbggggggge ebbb ebbbbbbbe cggggggggggaaaaaadbbbgggggggge bbbf ebbbbbbbe cggggggggggaaacaabbbbgggggggge bbb ebbbbbbbe cggggggggggaaacabbbbggggggggge fbbb bbbbbbbe cggggggggggaaagdbbbgggggggggge bbbf bbbbbbbf cggggggggggaaagbbbbgggggggggge bbb fbbbbbbf cggggggggggaaabbbbagggggggggge fbbb fbbbbbbf cggggggggggaaabbbdagggggggggge bbbe fbbbbbbf cggggggggggaabbbbaadggggggggge ebbb fbbbbbbb cggggggggggadbbbdaaaggggggggge bbbf fbbbbbbb cgggggggggcabbbfgaaaggggggggge bbb ebbbbbbbecgggggggggcbbbbggaaaggggggggge fbbb ebbbbbbbgggggggggcbbbgggaaadgggggggge bbbf ebbbbbbbgggggggbbbbgggdaaagggggggge bbb ebbbbbbbfgggbbbbdggggaaagggggggge fbbb bbbbbbbfgbbbddggggaaagggggggge bbbe cgbbbbbbbbbbacggggaaadggggggge ebbb cgggbbbbbbbaacggggdaaaggggggge bbbb cgggggfbbbdaaggggggaaaggggggge bbbe cgggggggffaaaggggggaaaggggggge fbbb cgggggggggaaaggggggaaadgggggge bbbf cgggggggggaaaggggggdaaagggggge bbb cgggggggggaaagggggggaaagggggge fbbb cgggggggggaaagggggggaaagggggge bbbe cgggggggggaaagggggggaaacggggge ebbb cggggggggcaaagggggggdaaaggggge bbbb cggggggggcaaagggggggcaaaggggce bbbe eeeeeeeecaaaeeeeeeeeaaaeeeee ebbb daad aaag bbbf daac daad bbb aaac eaaa fbbb aaag aaa bbbf aaae aaag bbb aaa daad fbbb aaa eaaa bbbe aaa aaa ebbb aaa aaag bbbf aaa daad bbb aaa gaaa fbbb eaaa aaa bbbf aaa gaaa aaag bbb aaaa caaa dce fbbb gaaaaa caad bbbe daaaaaa daad bbb aaadaaaa daac f aaa daaad aaag eaaa daaad aaag caaa aaaad aaae aaac aaaac aaa aaa aaaac aaa aaa aaaag aaa gaaa aaaag aaa daad aaaae aaa c aaag aaaae eaaa daac aaa aaaae eaaa aaaaad eaaa eaaaa gaaa daaaaaad daad eaaaa caad caaaaaaae aaac eaaaa daad gaaaaaaag aaa gaaaa daac eaaaaaaac aaa gaaaa aaac eaaaaaaac caaa caaaa aaag daaaaaad aaac caaaa aaae daaaaaad aaae daaaa aaa caaaaaaae aaa daaad aaa gaaaaaaag gaaa daaad aaa eaaaaaaac daad aaaadaaa eaaaaaaaaaag aaaaaaa daaaaaaa aaaaaa daaaaa aaaaa caad aaaa aag ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#027610ff b,#bec528ff c,#a8cfadff d,#3f9436ff e,#e4edd0ff f,#d4da76ff g,#6daf72ff ``` ```image gaaaaaae bbbbbbbf gaaaaaac fbbbbbbb gaaaaaag ebbbbbbbe daaaaaaa fbbbbbbf daaaaaaae fbbbbbbb daaaaaaac ebbbbbbbe aaaaaaaag fbbbbbbf aaaaaaaad ebbbbbbbe aaaaaaaaae bbbbbbbf eaaaaaaaaac fbbbbbbb eaaaaaaaaag ebbbbbbbe caaaaaaaaad bbbbbbbf caaaaaaaaaae fbbbbbbb caaaaaaaaaac ebbbbbbbe caaaaaaaaaag fbbbbbbf gaaaaaaaaaad ebbbbbbbe gaaaaaaaaaaae bbbbbbbf gaaaaaaaaaaac fbbbbbbf daaaaaaaaaaagebbbbbbbe daaaaaaaaaaadbbbbbbbf daaaaadaaaaadbbbbbbb aaaaaagaaaaabbbbbbbe aaaaaacaaaabbbbbbbf aaaaaacgaadbbbbbbb eaaaaaaecaabbbbbbbe eaaaaaaeeabbbbbbbf caaaaaa dbbbbbbbe caaaaaa bbbbbbbf caaaaaa fbbbbbbbe gaaaaadebbbbbbbdc gaaaaadfbbbbbbdag gaaaaagbbbbbbbaad daaaaabbbbbbbdaaa daaaabbbbbbbbaaaac daaadbbbbbbbaaaaag aaaabbbbbbbgaaaaad aaadbbbbbbbgaaaaaa aadbbbbbbbeeaaaaaac eaabbbbbbbf aaaaaag eadbbbbbbb daaaaad cabbbbbbbe gaaaaaa cbbbbbbbf caaaaaac bfe fbbbbbbbe aaaaaag bbbfe bbbbbbbf daaaaad bbbbbfe fbbbbbbb gaaaaaa bbbbbbbfe ebbbbbbbd caaaaaae bbbbbbbbbfe bbbbbbbdg aaaaaag bbbbbbbbbbbbe fbbbbbbbag daaaaad bbbbbbbbbbbbbbe ebbbbbbbdag gaaaaaa ebbbbbbbbbbbbbbbbbbbbbbaac caaaaaae ebbbbbbbbbbbbbbbbbbbaaac aaaaaac efbbbbbbbbbbbbbbbdaaac daaaaad efbbbbbbbbbbbbbaaaac gaaaaaa efbbbbbbbbbbaaaaae caaaaaae efbbbbbbbdaaaaae aaaaaac efbbbbbaaaaaa daaaaag ffecaaaaaa gaaaaaa caaaaaa caaaaaae gaaaaad eaaaaaac gaaaaad daaaaag gaaaaag gaaaaaa daaaaag caaaaaae daaaaag eaaaaaac daaaaag daaaaag aaaaaac gaaaaaa aaaaaac caaaaaae aaaaaac eaaaaaac eaaaaaae daaaaag eaaaaaae gaaaaad caaaaaa caaaaaae ``` <!-- end of image --> The lines cross each other within area A, forming 2 intersections. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#027610ff b,#bfc628ff c,#9cc9a0ff d,#369139ff e,#deeacdff f,#d7db7bff g,#65ab6dff ``` ```image c e aaa fbb aaae bbbf aaag bbbb aaaa fbbb aaaa bbbf bbf aaaae bbbb fbbbbf eaaaag ebbbe bbbbbbbf caaaaa bbbb bbbbbbbbbf caaaaa fbbb bbbb fbbbbbbb gaaaaae bbbf bbbe ebbbbbbb daaaaagbbbb ebbb ebbbbbbb daadaadbbb bbbf ebbbbbbbe aaacaabbbf bbb bbbbbbbe aaaeabbbb fbbb bbbbbbbe aaa dbbbe bbbf bbbbbbbf aaa bbbb bbb fbbbbbbf aaafbbba fbbb fbbbbbbf aaabbbda bbbe fbbbbbbf aabbbbaag ebbb fbbbbbbb adbbbcaaa bbbf ebbbbbbb eabbbf aaa bbb ebbbbbbb ebbbb aaa fbbb ebbbbbbb cbbb aaac bbbf ebbbbbbbe bbbb gaaa bbb bbbbbbbe bbbbg aaa fbbb bbbbbbbeebbbdg aaa bbbe bbbbbbbbbbac aaac ebbb fbbbbbbaae gaaa bbbb fbbbdaae aaa bbb feaaa aaa ebbb aaa aaac bbbf aaa gaaa bbb aaa eaaa fbbb aaa aaa bbbe aaa aaac bbb eaaa gaad bbbb caaa eaaa bbbe caad aaa ebbb gaad aaac bbbf daag gaad bbb daac eaaa fbbb aaac aaa bbbf aaae aaac bbb aaa gaad fbbb aaa eaaa bbbe aaa aaa ebbb aaa aaac bbbf aaa daad bbb aaa eaaa fbbb eaaa aaa bbbf aaa eaaa aaae bbb aaaa caaa dg fbbb caaaaa gaad bbbe daaaaaa gaag bbb aaadaaad daag e aaa daaad aaac eaaa daaad aaae gaaa daaag aaae aaac aaaag aaa aaa aaaac aaa aaa aaaac aaa caaa aaaae aaa daag aaaae aaa c aaae aaaae aaa daag aaa aaaa eaaa aaaaag eaaa aaaa caaa gaaaaaad gaad eaaaa caad caaaaaaae aaac eaaaa gaad caaaaaaae aaa eaaaa daag eaaaaaaac aaa caaaa daac aaaaaaag caaa caaaa aaac daaaaaag daag gaaaa aaae gaaaaaad aaae gaaad aaa caaaaaaae aaa daaad aaa caaaaaaae eaaa daaad aaa eaaaaaaac gaad daaagaaa aaaaaaaaaac aaaaaaa daaaaaaa aaaaaa gaaaaa aaaaa caag aaaa aae ``` <!-- end of image -->
[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#6dd4aaff b,#2ab044ff c,#b1d8b2ff d,#5dc06fff e,#a2d3a8ff f,#92ca94ff g,#edf6efff ``` ```image cg a ge a a cg a ge a a cg a ge a a cg a ge a a cg a ge a a cg a ge a a a cg gc aggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaggg b gfaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeeeeeeeeeeeeeeeaeeeeg ccb geaccccccccccccccccccccccccccccccbdbcccccccccccccccccccccceaccceg d bg gecacccccccccccccccccccccccccccccbcfbcccccccccccccccccccccacccceg b df geceeccccccccccccccccccccccccccccdcccbfccccccccccccccccccaecccceg d ed geccacccccccccccccccccccccccccccffccccdbcccccccccccccccccaccccceg cc gb gecccaccccccccccccccccccccccccccdccccccfbcccccccccccccccacccccceg d bg gecccaccccccccccccccccccccccccccbccccccccbfcccccccccccceecccccceg bc geccccacccccccccccccccccccccccccbcccccccccdbcccccccccccaccccccceg fd gecccceeccccccccccccccccccccccccbccccccccccebcccccccccacccccccceg cb gecccccacccccccccccccccccccccccedccccccccccccbfcccccceacccccccceg bg geccccccaccccccccccccccccccccccdccccccccccccccdbcccccaccccccccceg bc geccccccaccccccccccccccccccccccbcccccccccccccccebcccacccccccccceg ddgecccccccacccccccccccccccccccccbcccccccccccccccccbfcacccccccccceg cbeccccccceeccccccccccccccccccccbccccccccccccccccccdbacccccccccceg gbccccccccacccccccccccccccccccedcccccccccccccccccccedeccccccccceg gebfcccccccaccccccccccccccccccdecccccccccccccccccccecbfcccccccceg gecbdccccccaccccccccccccccccccbccccccccccccccccccccaccdbccccccceg geccdbccccccacccccccccccccccccbccccccccccccccccccccacccebeccccceg gecccebccccceeccccccccccccccccbccccccccccccccccccccacccccbdcccceg gecccccbeccccaecccccccccccccccdccccccccccccccccccceeccccccdbccceg geccccccbdcccceacccccccccccccffcccccccccccccccccccaccccccccebeceg gecccccccdbcccceaccccccccccccdccccccccccccccccccccaccccccccccbceg geccccccccfbcccccacccccccccccbccccccccccccccccccccacccccccccccceg geccccccccccbeccccaccccccccccbccccccccccccccccccccacccccccccccceg gecccccccccccbfccccaeccccccccbccccccccccccccccccceecccccccccccceg geccccccccccccddccccaeccccccffcccccccccccccccccccaccccccccccccceg gecccccccccccccfbccccaacccccdccccccccccccccccccccaccccccccccccceg geccccccccccccccebcccceaccccbccccccccccccccccccccaccccccccccccceg geccccccccccccccccbfccccacccbccccccccccccccccccccaccccccccccccceg gecccccccccccccccccbdccccaccbccccccccccccccccccceeccccccccccccceg geccccccccccccccccccdbccccaedcccccccccccccccccccacccccccccccccceg gecccccccccccccccccccebccccafcccccccccccccccccccacccccccccccccceg gecccccccccccccccccccccbeccbaaccccccccccccccccccacccccccccccccceg geccccccccccccccccccccccbdcbceacccccccccccccccccecccccccccccccceg gecccccccccccccccccccccccdbbcccaccccccccccccccceccccccccccccccceg geccccccccccccccccccccccccfdccccaccccccccccccccaccccccccccccccceg gecccccccccccccccccccccccccccccccaeccccccccccccaccccccccccccccceg geccccccccccccccccccccccccccccccccaecccccccccccaccccccccccccccceg gecccccccccccccccccccccccccccccccccaaccccccccceeccccccccccccccceg gecccccccccccccccccccccccccccccccccceaccccccccacccccccccccccccceg geccccccccccccccccccccccccccccccccccceacccccccacccccccccccccccceg gecccccccccccccccccccccccccccccccccccccaccccccacccccccccccccccceg geccccccccccccccccccccccccccccccccccccccaeccccacccccccccccccccceg gecccccccccccccccccccccccccccccccccccccccaecceecccccccccccccccceg geccccccccccccccccccccccccccccccccccccccccaacaccccccccccccccccceg geccccccccccccccccccccccccccccccccccccccccceaaccccccccccccccccceg gffffffffffffffffffffffffffffffffffffffffffffaffffffffffffffffffg ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#69d5abff b,#25af40ff c,#b8e8d0ff d,#4bbd62ff e,#94debbff f,#78cd89ff g,#dbf3e7ff ``` ```image ea gae a dbc ea cg bbbf cag a gbefbd gae eag fb gbf cac ae dd fbdg ae cag bf ebbc ag ea gbe gdbf gc gac cbc fbdg a eag ebg ebb ca ae fb gdf gae ea bf ebbc cac ga bc gdbf gae eg bg fbdg eag e b cbb gac ac d gdf ae ea f bdg eag gac ge cbbc gac ae f fbdg ag cac d cbbc ge ea b gdb e gac gb fdg a eag cb bbe ga g ae eb gdbf ca bc cac fb fbdea dbe ea dd cbaa fbg eg cbc gafdg edg e ebg ca bbe bbe ac fb ea gdbf gdbf ea dd ae fbdg fbd gac bf gac cbbe ebdg eag gbe gag gdbf cbb ae ebg ca fbg bf eac dd ae dbf ebdg eac bf gac fbdg cbbc ea gbe cag cbbe gdbe ce cbc ea gdbf dbf aag fb ee fbg fbd gaag fd ac ce ebc gaac df gag dbf eae cbc ea fbdg cae ebg ae ebdg cag fb ac cbbc gag dd gag gdb aag bf ca ff eac gbe ea bdg eae ebg ae cbbc cae fb ac dbf gag bf a fbdg gag be e cbb eac bc e gde eae b gc gbf cae d cg fbdg caag f e ebdg gaage e gdbf ac ga fb fae ca edg dcae ea bbc b caag ae gdbe cb gaag ac dbf eb gaag gag fbdfb ea ca cbbd ee ea caeg gac gaag gag gaag ca geac ee ea ac ee gac ae cag gaag ee gaac ac eac gag eae ca ca ea gag ae aag ac eac ca eae ea cae ae gagac ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#69d5abff b,#25af40ff c,#b7e8d0ff d,#48bc60ff e,#90ddb9ff f,#78cd89ff g,#daf3e6ff ``` ```image cg a ge a a cg a ge a a cg a ge a a cg a ge a a cg a ge a a cg a e e a a cg gc a a b e fc e ceb e bfd ge d bg a b gb a b df cg f bc eg d ed a cc fd a cc gb e f gb a d bg e b bc cc de a b fd a fd cc d gb a cb a ge bc gc b e f fd a bc e b gb e ff a b be a cb cc b fda gb a f gd bg e eg c be df e d a fd ed a b a gb gb cc b e be bg ec f gc fd de ce cc c gb fd ga f a b gb a b a bg a b e bc ag d gg ff ec ge e cb ce f a b ga b a bc a b c df a d cg ed age e gb ac a bg dce a de b ga c fdb a c ge a a ag a ec e ce gc ga e ga a a a ag e ec gg ee e gaa ga ``` <!-- end of image -->
[ "" ]
The hunt for intersections begins! Let's analyze this image closely. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#3b540eff b,#e65d41ff c,#98c191ff d,#6d804aff e,#edd2c8ff f,#de987fff g,#b1d7b1ff ``` ```image e aaa aaa aaae aaad aaaa aaaa eaaaac eaaaaa gaaaaa gaaaaae caaaaad caacaaa daagaaa daaedaac daaeeaaa aaa aaa aaa aaae aaa caad gdaa caaagggaaaggggggggggggggggggggc caaaaaaa gaaagggaaaggggggggggggggggggggc gdaaaaaaaaaaae gaaagggdaadgggggggggggggggggggc caaaaaaaaaaaadg gaaagggcaaagggggggggggggggggggc edaaaaaaaaaaaac gaaaggggaaagggggggggggggggggggc cdaaaaaaaaaaadg gaaaggggaaacbfggggggggggggggggc edaaaaaaaaaaaade gaaaggggdaaabbfgggggggggggggggc gdaaaaaaaaaaaac gaaagggggaaabbbgggggggggggggggc caaaaaaaaaaaade gaaagggggaaabbbbggggggggggggggc gdaaaaaaaaaaaac gaaagggggdaadbbbbgggggggggggggc caaaaaaaaaaaadg gaaagggggcaaagbbbfggggggggggcdaaaaaaaaaaaac caaaggggggaaagfbbbggggggcaaaaaaaaaaaadg caadggggggaaacgbbbbcdaaaaaaaaaaaade caadgggggfdaadgcaaaaaaaaaaaaadc caadgggggbbaaaaaaaaaaaaadcggggc daadgggggbbaaaaaaaaadcggggggggc daadgggggbbdaaadcgbbbbggggggggc daacgggggbbbgggggggbbbbgggggggc daacggggfbbfggggggggbbbfggggggc daacggggbbbgggggggggcbbbcgggggc aaacggggbbbggggggggggfbbbgggggc aaagggggbbbgggggggggggbbbbggggc aaaggggfbbfggggggggggggbbbbgggc aaaggggbbbggggggggggggggbbbfggc aaaggggbbbggggggggggggggfbbbggc aaaggggbbbgggggggggggggggbbbbgc aaagggfbbbggggggggggggggggbbbbc aaagggbbbfgggggggggggggggggbbbf bb aaagggbbbggggggggggggggggggfbbb bbb aaagggbbbgggggggggggggggggggbbbb bbbbe aaagggbbbggggggggggggggggggggbbbb fbbbbe aaaggfbbfgggggggggggggggggggggbbbf bbbbbe aaaggbbbggggggggggggggggggggggfbbb bbbbbbe aaaggbbbggggggggggggggggggggggcbbbb bbbbfbbe aaaggbbbggggggggggggggggggggggc bbbb ebbb fbbe eaaagfbbfggggggggggggggggggggggc bbbf bbbf ebbf eaadgbbbgggggggggggggggggggggggc ebbbe bbbb ebbf gaadgbbbgggggggggggggggggggggggc fbbb bbbb ebbf caadgbbbgggggggggggggggggggggggc bbbb ebbb ebbf caadfbbbgggggggggggggggggggggggc bbbf bbbf ebbf caadbbbfgggggggggggggggggggggggc ebbbe bbbb ebbf daacbbbggggggggggggggggggggggggc fbbb fbbb bbf daacbbbggggggggggggggggggggggggc bbbb ebbbe bbb daacbbbggggggggggggggggggggggggc bbbf bbbf bbb aaafbbfggggggggggggggggggggggggc ebbbe bbbb bbb aaabbbgggggggggggggggggggggggggc fbbb fbbb bbb aaabbbgggggggggggggggggggggggggc bbbb ebbbe bbb aaabbbgggggggggggggggggggggggggc bbbf bbbf bbb daabbfgggggggggggggggggggggggggc ebbbe bbbb bbb gbbbggggggggggggggggggggggggggc fbbb fbbb bbb gbbbggggggggggggggggggggggggggc bbbb bbbe bbb gbbbggggggggggggggggggggggggggc bbbb bbbb bbb cbbbggggggggggggggggggggggggggc bbbe bbbb bbb bbbfggggggggggggggggggggggggggc fbbb ebbb bbb bbbgggggggggggggggggggggggggggc bbbb bbbe bbb bbbcccccccccccccccccccccccccccg bbbb bbbb bbb bbb bbbf bbbb bbb fbbf ebbb ebbb bbb bbb bbbb bbbf bbb bbb bbbbbbb bbb e bbbbb ebbbe fbf ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3a540dff b,#e65d41ff c,#b1bb9fff d,#656c33ff e,#ecd5cbff f,#ee9684ff g,#869367ff ``` ```image aaaaad caaaaag aaaaad eaaaaaa eaaaaad daaaaac eaaaaad gaaaaag eaaaaad caaaaad eaaaaag aaaaaae caaaaag daaaaac caaaaag caaaaag caaaaag eaaaaaa caaaaag daaaaac caaaaac gaaaaag gaaaaac caaaaad e gaaaaac aaaaaaebbbf gaaaaac daaaaagbbbbf gaaaaac caaaaadbbbbbf gaaaaae eaaaaaabbbbbbe daaaaae daaaaabbbbbbb daaaaae gaaaaadbbbbbbf daaaaae caaaaaabbbbbbbf daaaaa aaaaaabbbbbbbbe daaaaa daaaaadbbbbbbbb aaaaaa caaaaadbbbbbbbbf aaaaaa eaaaaaabebbbbbbbf ecg aaaaaa aaaaaab ebbbbbbbe cgdaaaa aaaaad daaaaad ebbbbbbbe ecgdaaaaaaaa eaaaaad gaaaaad fbbbbbbf ecgaaaaaaaaaaaaa eaaaaad baaaaaae bbbbbbbfecgdaaaaaaaaaaaaaaaaa eaaaaad bdaaaaac ebbbbddaaaaaaaaaaaaaaaaaaaaaa eaaaaag ebdaaaaag ecgdaaaaaaaaaaaaaaaaaaaaaaadgc caaaaag fbbaaaaaagdaaaaaaaaaaaaaaaaaaaaaaadgce caaaaag bbbaaaaaaaaaaaaaaaaaaaaaaaaaaagce caaaaag bbbdaaaaaaaaaaaaaaaaaaaaadgce caaaaag ebbbbaaaaaaaaaaaaaaaaaddbe caaaaac fbbbbaaaaaaaaaaaadddbbbbbb caaaaac fbbbbdaaaaaaadgc fbbbbbbf gaaaaac bbbbbbgddgce bbbbbbbe gaaaaac ebbbbbb ebbbbbbbe gaaaaac ebbbbbf fbbbbbbb gaaaaac fbbbbbe fbbbbbbf gaaaaae bbbbbbe bbbbbbbf daaaaae bbbbbb ebbbbbbbe daaaaae ebbbbbf fbbbbbbb daaaaae fbbbbbf fbbbbbbf daaaaa fbbbbbe bbbbbbbf aaaaaa bbbbbb ebbbbbbbe aaaaaa ebbbbbb ebbbbbbb aaaaaa fbbbbbf fbbbbbbf aaaaaa fbbbbbe bbbbbbbf aaaaad bbbbbbe ebbbbbbbe eaaaaad ebbbbbb ebbbbbbbe eaaaaad ebbbbbf fbbbbbbb eaaaaad fbbbbbf bbbbbbbf eaaaaag bbbbbbe ebbbbbbbe caaaaag bbbbbb ebbbbbbbe caaaaag ebbbbbf fbbbbbbb caaaaag fbbbbbf fbbbbbb caaaaag fbbbbbe bbbbbb caaaaac bbbbbb ebbbbb gaaaaac ebbbbbb fbbbb gaaaaac fbbbbbf fbbb gaaaaac fbbbbbe bbb gaaaaac bbbbbbe ebb gaaaaae ebbbbbb fb gaaaaae ebbbbbf f daaaaae fbbbbbf daaaaae bbbbbbe daaaaae bbbbbb daaaaa ebbbbbf aaaaaa fbbbbbf aaaaaa fbbbbbe aaaaaa bbbbbb aaaaad ebbbbbb aaaaad fbbbbbf aaaaad fbbbbbe aaaaad bbbbbbe aaaaad ebbbbbb aaaaag ebbbbbf aaaaag fbbbbbf aaaaag bbbbbbe aaaaag bbbbbb aaaaag ebbbbbf aaaaac fbbbbbf aaaaac fbbbbbe aaaaac bbbbbb aaaaacebbbbbb aaaaacfbbbbbf aaaaaefbbbbbe aaaaaebbbbbbe aaaaaebbbbbb aaaaafbbbbbf aaaaafbbbbbf aaaaabbbbbbe aaaaabbbbbb aaaaabbbbbf aaaaabbbbbf aaaaabbbbbe aaaaabbbbb aaaaabbbbb dddadbbbbf fbbbbbe bbbbbbe ebbbbbb ebbbbbf fbbbbbf bbbbbbe bbbbbb ebbbbbf fbbbbbf fbbbbbe bbbbbb ebbbbbb ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3b540eff b,#e75c40ff c,#acb799ff d,#737f4cff e,#f3b7abff f,#ec8874ff g,#ecdfd7ff ``` ```image g aaa aaa aaag aaad aaaa aaaa gaaaac gaaaaa caaaaa caaaaag caaaaad caacaaa daacaaa daagdaac daaggaaa aaa aaa aaa aaag aaa caad cdaa aaa aaa gcaaaaaaa aaa aaa cdaaaaaaaaaaag aaa daac caaaaaaaaaaaadc aaa gaaa gdaaaaaaaaaaaacg aaa aaa caaaaaaaaaaaadc aaa aaagbf gdaaaaaaaaaaaadg aaa caaabbe cdaaaaaaaaaaaac aaa aaabbb gcaaaaaaaaaaaadg aaa aaabbbb cdaaaaaaaaaaaac aaa daadbbbb caaaaaaaaaaaadc aaa gaaagbbbe gdaaaaaaaaaaaacg aaa aaa ebbbg cdaaaaaaaaaaadc gaad aaag fbbbgdaaaaaaaaaaaadg gaad edaad caaaaaaaaaaaaac caad fbaaaaaaaaaaaaadg caac bbaaaaaaaaadg caac bbdaaadc fbbb daac gbbb bbbb daac fbbe bbbf daag bbb gbbbg daag bbb fbbb aaa bbb bbbb aaa ebbf bbbf aaa bbbg gbbbe aaa bbb fbbb aaa bbb bbbb aaa ebbf bbbf aaa fbbg gbbbe gbb aaa bbb ebbb bbbg aaa bbb bbbb bbbbg aaa gbbb bbbb ebbbbg aaa fbbe bbbe bbbbbg aaa bbb ebbbg bbbbbbe aaa bbb bbbb bbbbebbe aaa bbb bbbb ebbb ebbe gaad ebbf bbbf bbbe ebbe gaad bbbg ebbbg bbbb ebbe gaad bbb fbbb fbbb ebbf caad bbb bbbb ebbbg gbbf caacebbf bbbf bbbf gbbf caacfbbe gbbbg bbbb gbbf daacbbb fbbb fbbb gbbf daagbbb bbbb gbbbg bbb daaebbb bbbf bbbf bbb aaafbbe gbbbg bbbb bbb aaabbb fbbb fbbb bbb aaabbb bbbb gbbbg bbb aaabbb bbbf bbbf bbb ddabbf gbbbe bbbb bbb bbbg fbbb ebbb bbb bbb bbbb gbbbe bbb bbb bbbb bbbf bbb gbbf gbbbe bbbb bbb fbbe ebbb ebbb bbb bbb bbbb bbbe bbb bbb bbbb bbbb bbb gbbb bbbe fbbb bbb fbbe ebbbg ebbbg bbb bbb fbbb bbbe bbb bbb bbbbbbb bbb e bbbbb ebbbg fbe ``` <!-- end of image -->
[ "" ]
I'm analyzing this image to identify any points where lines intersect. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#cf284fff b,#b1d7b1ff c,#9e2484ff d,#b7647fff e,#a3cda2ff f,#eff6efff g,#b29a98ff ``` ```image ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbagabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbadbcacdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgabcdabccgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabecbabbbccgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdabef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbadbcgbabbbbeccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgabgcbbabbbbbbgccbbbbbbbbbbbbbbbbbbbbbbbbbbagbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaebcebbabbbbbbbbdcdbbbbbbbbbbbbbbbbbbbbbbbdabbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdabgcbbbabbbbbbbbbbccgbbbbbbbbbbbbbbbbbbbbeabbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeabbcbbbbabbbbbbbbbbbbccebbbbbbbbbbbbbbbbbbagbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbagbdcbbbbabbbbbbbbbbbbbgccbbbbbbbbbbbbbbbbdabbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbdabbcbbbbbabbbbbbbbbbbbbbbgccbbbbbbbbbbbbbeabbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbcdbbbbbabbbbbbbbbbbbbbbbbdcdbbbbbbbbbbbaebbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbbagbbcbbbbbbabbbbbbbbbbbbbbbbbbbccgbbbbbbbbadbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbgabbcdbbbbbbabbbbbbbbbbbbbbbbbbbbeccebbbbbgabbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbbabbecbbbbbbbabbbbbbbbbbbbbbbbbbbbbbgccbbbbaebbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbbadbbcgbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbdcdbadbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbgabbgcbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbccabbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbbaebbcebbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbaccgbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbbadbbgcbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbadbeccbbbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbeabbbcbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbdabbbbgccbbbbbef ebbbbbbbbbbbbbbbbbbbbbbbagbbdcbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbdcdbbbef ebbbbbbbbbbbbbbbbbbbbbbdabbbcbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbagbbbbbbbbbccgbef ebbbbbbbbbbbbbbbbbbbbbbabbbddbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbdabbbbbbbbbbbbcbef ebbbbbbbbbbbbbbbbbbbbbagbbbcbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbdabbbcdbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbagbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbbabbbbcbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbdabbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbbadbbbcgbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbeabbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbgabbbgcbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbagbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbbabbbbcgbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbbadbbbgcbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbgabbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbgabbbbcebbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbaebbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbbaebbbdcbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbadbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbbdabbbbcbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbgabbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbeabbbbdcbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbbagbbbbcbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbadbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbdabbbbcdbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbgabbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbbabbbbbcbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbbagbbbbcgbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbadbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbgabbbbecbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbdabbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbbabbbbbcgbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbbadbbbbgcbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbagbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbgabbbbbcebbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbdabbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbbaebbbbdcbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbeabbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbbadbbbbbcbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbagbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbeabbbbbdcbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbbagbbbbbcbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbgabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbdabbbbbcdbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbbaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbbabbbbbbcbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbbadbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbagbbbbbcgbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbgabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbdabbbbbecbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbabbbbbbcgbbbbbbbbbbbbbbbbbbbbbbbbbbabbbbadbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbadbbbbbgcbbbbbbbbbbbbbbbbbbbbbbbbbbbabbbgabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbgabbbbbbcebbbbbbbbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbabbbbbbgcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabbadbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebadbbbbbbcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabdabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef egabbbbbbdcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef eaebbbbbbcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaagbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef dabbbbbbcdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef fabbbbbbbcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef agbbbbbbcgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbecbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbbcgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbgcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbbcebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbgcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbbcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbdcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebbcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebcdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ebcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ecgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef ecbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef cgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbef fceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#d02750ff b,#e5a4bcff c,#a12486ff d,#bf6badff e,#d94f70ff f,#f0d0deff g,#e27c94ff ``` ```image f af baf gaaf aaaf gafaf a ag ba bacd ea bcabdcd ag ccab ccc ee ab dc eb dcdf aa a cb eb dcc ae ab fc eb bccf ab ba bcf eb dcc ga fab cc eb fccb ab aa cd eb bccf ee ge cb eb fccd aa af c eb fccb ae ga dd eb ccd ag ea c eb fdcd ga fab cd eb ccc ea ee bcf eb dcdf aa fa cc eb dcc ae baf dc eb bccf ba aa cb eb dccf ag fab fc eb fcaa af fcf eb eaccf fa cc eb af ccd af cd gg ee fccb ee cb gg aa ccd baf c gg ae fdcd ae dc gg ab ccc ag dc gg ga dd fa cd gg a ee bcf gg ga aa c gg aa baf dc gg baf ag cb gg ag ba fc gg ba ga fcf gg ea aa cc gg aa gaf cd gg ee a cb gg fa fab fc gg ga ea dc gg aa fag dc gg ea af cd gg fa a bcf be ee ab c be aa ga dc be gaf fab fcb be ab aa cc be ga ee fcf be a af dd be ga ga c be aa ea cd be baf fab cc be a ee cc be ba fa dd be ea baf c be fab aa bc be ee baf cf be fa a bc be gaf fa cb be aa gaf cc be ga ae fcf ba fa ag cf fa af a c fa fa ag cd fa baf fa cc fa ae eg cc fa gaf aa dc fa a baf c faab ab fc faa ba bcf fab a cc g dc cb fc fcf cc cd cb c dc c fc bcf cc dc cb fc cf ``` <!-- end of image --> I've cracked the case! This area contains 2 intersections. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d0254eff b,#e5b1cbff c,#a02185ff d,#b757a3ff e,#da5474ff f,#f3dbe6ff g,#db88aaff ``` ```image f ea aa aba ga a a da ag cacd ba cga dcb a a fc a ccf ga ee cb a fcc a fa fc a bcd ab af cf a dcd ea ee bc a ccb fa fa c a fccf ab ab gc a bcc ee ga c a gcd fa a dd a dcg af ag c a ccb ee ga cg a fccf ba a fc a bcc af ag cb a gcd ae ba fc a dca af cf a accf ee bc a ag fcc fa c a ga bcd af gc a a dcd ee c a ab ccb a dd a ga c ab c a fa ga cg a ab a c a ee ag cb a fa ba fc a af a cf a ee ee bc a fa fa cf a af af gc a ae ee c a ba fa dd a a ab c a ag ga cg a ga a c a a ag cb a ag ga fc a ga a cf a a ag bc a ab ba cf a ea af gc a fa ee c a af fa dd a ee af c a fa ee cd a af a c a ee ab cb a ba ga fc a af a cb a ag ag bc a ba ba cf a a a gc a ag ee c a ga fa dd a a af c aab ee dd aa fa c g ab cg fc cb bc cf gc c dd c dd c cg fc cb bc cf ``` <!-- end of image -->
[ "" ]
I'm optimistic that I'll find some intersections in this image. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#84c053ff b,#5ed9abff c,#a8ebd2ff d,#67af16ff e,#9ed1a0ff f,#b2d8b1ff g,#edf6eeff ``` ```image b gbc cbc cbc c cbc gbc cbc cb bbc g bb bbc ad bb bbc ddf cbg bbc ddd bb bbc ddd bb bbc fddd gbc bbb adgde cb bbb dd dd bb bbb dd dd bb gbbb da edg cbg ggggggbbbgggggfdfggdagggggggggggggggggggggggggggggg bb eeeeeebbbeeeeeadeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb fffffebbbfffffddfffddfffffffffffffffffffffffffffffeg gbc fffffbbbbfffffddfffadeffffffffffffffffffffffffffffeg cb fffffbbbbfffffddffffddffffffffffffffffffffffffffffeg bb fffffbbbbffffedaffffddffffffffffffffffffffffffffffeg bb fffffbbbbffffadfffffddffffffffffffffffffffffffffffeg cbc fffffbbbbffffddfffffedafffffffffffffffffffffffffffeg bb fffffbbbbffffddffffffddfffffffffffffffffffffffffffeg bb fffffbbbbffffddffffffddfffffffffffffffffffffffffffeg bc fffffbbbbffffdaffffffadfffffffffffffffffffffffffffeg cbg fffffbbbbfffadeffffffedaffffffffffffffffffffffffffeg bb fffffbbbbfffddffffffffddffffffffffffffffffffffffffeg bb fffffbbbbfffddffffffffddffffffffffffffffffffffffffeg gbc fffffbebbfffddffffffffadefffffffffffffffffffffffffeg bb ffffebebbfffdafffffffffdafffffffffffffffffffffffffeg bb ffffebfbbffedefffffffffddfffffffffffffffffffffffffeg bc ffffebfbbffadffffffffffddfffffffffffffffffffffffffeg cbg ffffbbfbbffddffffffffffadeffffffffffffffffffffffffeg bb ffffbbfbbffddfffffffffffddffffffffffffffffffffffffeg bb ffffbbfbbffdafffffffffffddffffffffffffffffffffffffeg gbc ffffbbfbbfedafffffffffffadffffffffffffffffffffffffeg bb ffffbbfbbfadffffffffffffedafffffffffffffffffffffffeg bb ffffbbfbbfddfffffffffffffddfffffffffffffffffffffffeg bc ffffbbfbbfddfffffffffffffddfffffffffffffffffffffffeg cbg ffffbbfbbfddfffffffffffffadfffffffffffffffffffffffeg bb ffffbbfbbedafffffffffffffedaffffffffffffffffffffffeg bb ffffbbfbbadeffffffffffffffddffffffffffffffffffffffeg gbc ffffbefbbddfffffffffffffffddffffffffffffffffffffffeg cbc bb ffffbefbbddfffffffffffffffadefffffffffffffffffffffecbbbbbc bb fffebefbbddffffffffffffffffdafffffffffffffffffffffbbbc cbbbc bc fffebffbbdaffffffffffffffffddaefffffffffffffffffbbbb cbbbc cbg fffebffbbdeffffffffffffffffadddddeffffffffffffebbbeg cbbbc bb fffbbffbbdffffffffffffffffffffadddddeffffffffbbbefeg cbbbc bb fffbbffebdfffffffffffffffffffffffaddddfffffbbbbfffeg cbbbcgbc fffbbffebdffffffffffffffffffffffffffaddffebbbfffffeg cbbbb fffbbffebafffffffffffffffffffffffffffddfbbbeffffffeg cbb fffbbffebefffffffffffffffffffffffffffebbbbffffffffeg fffbbffabfffffffffffffffffffffffffffebbbffffffffffeg fffbbffabffffffffffffffffffffffffffbbbeddfffffffffeg fffbbffabefffffffffffffffffffffffbbbbffddfffffffffeg fffbbffabefffffffffffffffffffffebbbffffeddffffffffeg fffbbfedbeffffffffffffffffffffbbbeffffffddffffffffeg fffeefadbeffffffffffffffffffbbbbffffffffeddfffffffeg ffffffddbeffffffffffffffffebbbfffffffffffddfffffffeg ffffffddbefffffffffffffffbbbeffffffffffffedaffffffeg ffffffddbefffffffffffffbbbbfffffffffffffffddffffffeg ffffffdabefffffffffffebbbfffffffffffffffffedafffffeg fffffadebeffffffffffbbbefffffffffffffffffffddfffffeg fffffddfbeffffffffbbbbfffffffffffffffffffffedaffffeg fffffddfbeffffffebbbffffffffffffffffffffffffddffffeg fffffddfbbfffffbbbefffffffffffffffffffffffffedafffeg fffffdafbbfffbbbbffffffffffffffffffffffffffffddfffeg ffffedefbbfebbbffffffffffffffffffffffffffffffedaffeg ffffadffbbbbbeffffffffffffffffffffffffffffffffddffeg ffffddffbbbbffffffffffffffffffffffffffffffffffedafeg ffffddffbbfffffffffffffffffffffffffffffffffffffddfeg ffffdafffffffffffffffffffffffffffffffffffffffffedaeg fffedaffffffffffffffffffffffffffffffffffffffffffddeg fffadfffffffffffffffffffffffffffffffffffffffffffedag fffddffffffffffffffffffffffffffffffffffffffffffffddddddddaefgg fffddfffffffffffffffffffffffffffffffffffffffffffffaaddddddddddddddddaaffg fffddfffffffffffffffffffffffffffffffffffffffffffffeg gfeaadddddddddddddddaaefg eeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gfeaadddddddde gfg ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#81be43ff b,#5ddaabff c,#9ae7caff d,#66af15ff e,#a0cd6eff f,#c6e1a9ff g,#d8f2dfff ``` ```image gbbbbbb fdddf ddde gbbbbbb fdddg addd gbbbbbb eddd fdddg gbbbbbb adda gdddf cbbbbbb dddf eddd cbbbbbb dddg fdddf cbbbbbb ddd gddde cbbbbbb dda adda bbbbbbb dde eddd bbbbbbb gddf fdddf bbbbbbb fddf ddde bbbbbbb edd adda bbbbbbb ada edddg gbbbcbbb gdde ddde gbbbcbbb fddf addd gbbbcbbb fddg fdddg cbbbcbbb edd gdddf cbbbgbbb ada ddda cbbbgbbb dde eddd cbbbgbbb gddf fddd cbbbgbbb fddg gddd cbbcgbbb edd add bbbcgbbb ddd fddf bbbcgbbb gddd dde bbbcgbbb fddd ada bbbcgbbb eddd eddg gbbbggbbb adda gddf gbbbggbbb ddde dde gbbbg bbb gdddf edd gbbbg bbb fdddf fddg cbbb bbb eddd dda cbbb bbb adda ddd cbbb bbb ddde dddf cbbb bbb fdddf ddde cbbc bbb fdddg adda bbbc bbb eddd edddg bbbc bbb adda fdddf bbbc bbb ddde ddde bbbc bbb gdddf addd bbbg bbb eddd gdddf bbbg bbb adda ddda bbbg bbb ddde eddd bbbg bbb gdddf fdddg bbb bbb fdddf gddde bbb bbb eddd adda bbb bbb adda eddd bbb bbb ddde fdddf bbc cbbfdddf adda bbc cbbfdddg edddg bbc cbbeddd fdddf bbc cbbadda ddde bbc cbbddde addd bbg cbbdddf fddd gbbg cbbdddg gddd gbbg cbbddd ddd c gbbg cbbdda edd gbb cbb cbbddf gddddddafg cbbbb cbb cbbddg fddddddddag gbbbbbc cbb cbbdd edddddddddef cbbbbbg cbb cbbda fedddddddddef cbbbbbc cbb cbbde geadddddddde gbbbbbbc cbc cbbdf eaddddddd cbbbbbbg bbc cbbdf gfaddddf cbbbbbg bbc cbbdg fdda gbbbbbc bbc cbba eddf gcbbbbbg bbg cbbe edabbbbbbc gbbg cbbf gbbbbbbbg gbbg cbbg cbbbbbg gbbg ebbg gbbbbbb gbbg abbg gcbbbbbddf cbb abbg cbbbbbcddda cbb gabbg gbbbbbbc edddf cbb fabbg cbbbbbcg gddda cbb aabbg gbbbbbc gddda bbc dabbg gcbbbbcg edddf bbc gdabbg cbbbbbg gddda bbc fdabbg gbbbbbbc edddf ggg edabbg gbbbbbcg gddda addbbg cbbbbbg eddd dddbbg gbbbbbc gddd gdddbbg gcbbbbcg eddf fdddbbg cbbbbbb gdda eddabbg gbbbbbcg gdda addabbg cbbbbbg eddf dddebbc gbbbbbc gdda gdddfbbc gbbbbbcg dddg fdddgbbc cbbbbbb ddda eddd bbc cbbbbbbc adddg adda bbc gbbbbbcg gddda ddde bbc cbbbbbg adddg fdddg bbc gbbbbbc adddg eddd bbc cbbbbbb gddda adda bbc bbbbbbc adddg ddde bbc gbbbbbc gddde gdddf bbc cbbbbbg adddg fdddf bbc cbbbbbc fddde edddg bbc gbbbbbb addd eddd bbccbbbbbbg fddd adda bbbbbbbbc addg dddf bbbbbg addg dddg cbbc fdde ddd c addg dda fdde dde dddg gddf ddde fddg addd edd fddd ada add gddf ad fddf f edd ada ``` <!-- end of image --> Success! This area contains 2 intersections point! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#88c24dff b,#5cdaabff c,#b4edd8ff d,#66af16ff e,#b2d78bff f,#88e3c1ff g,#daf0d6ff ``` ```image b gbc cbc cbc c fbc bc fbc fb bbc g bb bbf ad bb bbf dde cbg bbf ddd bb bbf ddd bb bbf eddd bf bbf adgde fb bbf dd dd bb bbf dd dd bb bbb da edg cbg gbbb gde da bb cbbb ad dd bb cbbb dd dd bf fbbb dd edg fb fbbb da da bb bbbb gde dd bb bbbb ed ad cbc bbbb dd gde bb bbbb dd dd bb bbbb dd dd bf bbbb de ad fb bfbb edg gde bb bfbb ad dd bb bcbb dd dd gbc bcbb dd edg bb gbgbb da da bb cbgbb gdg dd bf cb bb ad dd cb fb bb dd edg bb fb bb dd da bb bb bb da dd gbc bb bb gde ad fb bb bb ed gde bb bb bb dd dd bf bb bb dd dd cb bb fb dd ed bb bf fbgde de bb bf fbedg dd gbc bc fbad dd fbc fb bc fbdd edg gbbbbbc bb gbg fbdd da bbbc cbbbc bf cb fbde ddag fbbf cbbbc cbg cb fbdg eddddag gbbb cbbbc bb fb cbd edddddg bbbc cbbbc bb fb cbd edddd fbbf cbbbcgbc bb cbd eda gbbb cbbbb bb cba dd bbbc cbb bb fbe gbbbf bb eb cbbb bb abg bbbcda bb abg fbbf dd bf abg cbbb gda bf gdbg bbbc dd cg edbg fbbf gda ddbc cbbb dd ddbc bbbc gda ddbc fbbf dd debc cbbb gda edgbc bbbg dd ad bc fbbf gda dd bc cbbb dd dd bc bbbg gda da bf fbbf dd gdg bf cbbb gda ad bfbbbg dd dd bbbf gda dd bb dd da gda gde dd ed gde dd ddddddddaeeg dd eaddddddddddddddddaeeg dd ggeaadddddddddddddddaaeg de ggeaadddddddde ggg ``` <!-- end of image -->
[ "" ]
This image might have some surprises. Let's look for intersections carefully. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#20dfe2ff b,#6940cdff c,#9686d1ff d,#bbe8f3ff e,#afd6b0ff f,#60e1daff g,#edf5f2ff ``` ```image c cbb bbbbg bbbb gbbbb gbbbb cc gaaafdd dbbbc bbb aaaaaaaaaa cbbbd dbbd aaaaaaaaaad bbbbg bbb daad gdaad bbbb cbb aaa aaf bbbb bbc aaa aaf gbbbb bbb daad aaa gbbbc dbbd aaa aaa cbbbc bbb aaa faa cbbbd cbb daad faa bbbbg bbc aaa daa bbbb bbb aaa daa bbbb dbbc daad aad gbbbb bbb aaa aad dbbbc cbbg aaa aaf cbbbc bbb gaad aaa cbbbd bbb aaa aaa bbbbg gbbc aaa aaa bbbb bbb gaad faa bbbb ggggcbbggggggggfaaggggggggggggfaagggggggggggg gbbbb eeeeebbbeeeeeeeaaaeeeeeeeeeeeefaaeeeeeeeeeeeeg dbbbc eeeeebbbeeeeeeeaafeeeeeeeeeeeeeaaeeeeeeeeeeeegcbbbc eeeeeebbceeeeeaaaeeeeeeeeeeeeeeaaeeeeeeeeeeeecbbbd eeeeeebbbeeeeeaaaeeeeeeeeeeeeeeaafeeeeeeeeeebbbbg eeeeeecbbeeeeeaafeeeeeeeeeeeeeeaafeeeeeeeeebbbb eeeeeeebbbeeefaaeeeeeeeeeeeeeeeaaaeeeeeeeebbbb eeeeeeebbbeeeaaaeeeeeeeeeeeeeeeaaaeeeeeeebbbbg eeeeeeeebbceeaafeeeeeeeeeeeeeeeaaaeeeeecbbbceg eeeeeeeebbbefaaeeeeeeeeeeeeeeeeaaaeeeecbbbceeg eeeeeeeecbbeaaaeeeeeeeeeeeeeeeefaaeeebbbbeeeeg eeeeeeeeebbbaafeeeeeeeeeeeeeeeefaaeebbbbeeeeeg eeeeeeeeebbaaaeeeeeeeeeeeeeeeeeeaaebbbbeeeeeeg eeeeeeeeeebaaaeeeeeeeeeeeeeeeeeeaabbbbeeeeeeeg eeeeeeeeeebaafeeeeeeeeeeeeeeeeeeaabbbeeeeeeeeg eeeeeeeeeefaaceeeeeeeeeeeeeeeeecaaaceeeeeeeeeg eeeeeeeeeeaaabeeeeeeeeeeeeeeeecbaaaeeeeeeeeeeg eeeeeeeeeeaaabeeeeeeeeeeeeeeebbbaaaeeeeeeeeeeg eeeeeeeeefaabbbeeeeeeeeeeeeebbbbaaaeeeeeeeeeeg eeeeeeeeeaaabbbeeeeeeeeeeeebbbbeaaaeeeeeeeeeeg eeeeeeeeeaafebbceeeeeeeeeebbbbeefaaeeeeeeeeeeg eeeeeeeefaaeebbbeeeeeeeeebbbbeeefaaafeeeeeeeeg eeeeeeeeaaaeecbbeeeeeeecbbbceeeeeaaaaaaeeeeeeg eeeeeeeeaafeeebbbeeeeecbbbceeeeeeefaaaaaafeeeg eeeeeeefaaeeeebbbeeeebbbbeeeeeeeeeeeeaaaaaafeg eeeeeeeaaaeeeeebbceebbbbeeeeeeeeeeeeeeefaaaaaag eeeeeeeaafeeeeebbbebbbbeeeeeeeeeeeeeeeeeefaaaaaad eeeeeefaaeeeeeecbbbbbbeeeeeeeeeeeeeeeeeeeeeeaaaaaaf eeeeeeaaaeeeeeeebbbbbeeeeeeeeeeeeeeeeeeeeeeeegfaaaaaag eeeeeeaafeeeeeeebbbceeeeeeeeeeeeeeeeeeeeeeeeeg daaaaaad gggggfaagggggggggcdgggggggggggggggggggggggggg faaaaaf aaa faaaaaad aaf daaaaaaf daag faaaaaag aaa daaaaaad aaf gaaaaaaf daag faaaaaag aaa daaaaaad aaf gaaaaaaf daag faaaaaa aaa daaaa aaf gaf daag aaa aaa daad aaa aaa daad aaa aaa daad aaa aaa daad aaa daa ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#1fdfe2ff b,#683fceff c,#b9a6e8ff d,#9af0f2ff e,#8670d9ff f,#59e6e9ff g,#d9e7f6ff ``` ```image gbbbbbc gaaaaad daaaaf ebbbbb daaaaa daaaaf cbbbbbc faaaaf daaaaa bbbbbe gaaaaad gaaaaa cbbbbbg daaaaa gaaaaag gbbbbbc faaaaf aaaaag ebbbbb gaaaaad aaaaad g gbbbbbc daaaaa faaaad gb bbbbbe faaaaf faaaad cbb cbbbbbg aaaaad faaaaf cbbb bbbbbc daaaaag daaaaf cbbbb ebbbbb faaaaf daaaaf ebbbbb gbbbbbc aaaaad daaaaa ebbbbbb ebbbbe daaaaag gaaaaa gebbbbbbe cbbbbbg faaaaf gaaaaag gbbbbbbbe bbbbbe aaaaad aaaaag cbbbbbbbe ebbbbb daaaaag aaaaad cbbbbbbbc gbbbbbc faaaaf faaaad cbbbbbbbc ebbbbe aaaaad faaaad ebbbbbbbg cbbbbbgdaaaaag faaaaf gebbbbbbbg bbbbbefaaaaf daaaaf gbbbbbbbeg cbbbbbaaaaad daaaaf gbbbbbbbe gbbbbeaaaaag daaaaa cbbbbbbbe ebbbaaaaaf gaaaaa cbbbbbbbc cbbbaaaaad gaaaaaebbbbbbbc bbeaaaaag aaaaabbbbbbbg cbaaaaaf aaaaaebbbbbg gbaaaaad faaaaebbbeg eaaaaag faaaaabbe faaaaac caaaaaabe aaaaaae cbeaaaaac daaaaabbg ebbeaaaaa faaaaabbc ebbbeaaaaa aaaaaabbb gebbbbbaaaaa gaaaaabbbbc gbbbbbbbaaaaag faaaaabbbbe gbbbbbbbeaaaaag aaaaafbbbbbg cbbbbbbbc aaaaad gaaaaagbbbbbc cbbbbbbbc faaaad faaaaa ebbbbb ebbbbbbbc faaaad aaaaaf gbbbbbc ebbbbbbbg faaaaf gaaaaag ebbbbe gebbbbbbeg daaaaad daaaaa cbbbbbg gbbbbbbbe daaaaaaafg aaaaaf bbbbbe cbbbbbbbe gaaaaaaaaafd gaaaaag ebbbbb cbbbbbbbc faaaaaaaaaaad daaaaa gbbbbbc cbbbbbbbc daaaaaaaaaaaafg aaaaaf ebbbbe ebbbbbbbc dfaaaaaaaaaaafd gaaaaad cbbbbbg ebbbbbbbg gfaaaaaaaaaaaad daaaaa bbbbbe gebbbbbbeg gdaaaaaaaaaaaafg aaaaaf cbbbbb gbbbbbbbe dfaaaaaaaaaaaf gaaaaad gbbbbbc cbbbbbbbe gfaaaaaaaaaa daaaaa ebbbbb cbbbbbbbc daaaaaaaa faaaaf cbbbbbg cbbbbbbbc dfaaaaa gaaaaad bbbbbeebbbbbbbg gfaaa daaaaa cbbbbbbbbbbbbg da faaaaf gbbbbbbbbbbeg gaaaaad ebbbbbbbbe daaaaa cbbbbbbbe faaaaf bbbbbbc ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1fdfe3ff b,#683fceff c,#bca9e9ff d,#a0f1f2ff e,#8e72daff f,#5de7eaff g,#d7ebf7ff ``` ```image e ebb bbbb bbbb bbbb gbbbe ce gaaafdg cbbbe bbb aaaaaaaaaa ebbbc cbbg aaaaaaaaaag ebbbg bbb daag daad bbbb ebb aaa aaf bbbb bbe aaa aaf bbbb bbb daag aaa gbbbe cbbc aaa aaa cbbbc bbb aaa faa ebbbc ebb gaag faa bbbbg bbe aaa daa bbbb bbb aaa gaa bbbb gbbc gaad aag gbbbb bbb aaa aad gbbbe ebb aaa aaf cbbbc bbb gaad aaf ebbbg bbb faa aaa bbbbg gbbc aaa aaa bbbb bbb gaad faa bbbb cbbg faa faa gbbbb bbb aaa daa cbbbe bbb gaad gaa cbbbc gbbc faa aag ebbbg bbb aaa aad bbbb cbbg gaad aaf bbbb bbb faa aaa bbbb ebb aaa aaa gbbbe bbe aad aaa cbbbe bbb faa faa ebbbc cbbgaaa faa ebbbg bbbaad daa bbbb ebaaa gaa bbbb baaa aabbbb baad aaebe faac caaae aaab ebaaa aaab ebbaaa faabbe bbbbaaa aaabbb bbbb faa aafgbbc bbbb faa faa bbb gbbbe daaaf aaa ebb cbbbc aaaaaa aaf bbe ebbbc daaaaaad daa bbb bbbbg gaaaaaaf aaa gbbc bbbb faaaaaag aaf bbb bbbb daaaaaad daa cbbbbbb aaaaaaf aaa bbbbe faaaaaag aaf bbbc gaaaaaad daa eg faaaaaf aaa daaaaaag aaf gaaaaaad daa faaaaaf aaa daaaaaad aaf gaaaaaaf daag faaaaaa aaa daaaaaad aaf gaaaaaaf daag faaaaaa aaa daaaa aaf ad daag aaa aaa daag aaa aaa gaag aaa aaa gaag aaa aaa gaad aaa daa ``` <!-- end of image -->
[ "" ]
Alright, let's get to work and investigate this image for intersections. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#b1d7b1ff b,#978c4fff c,#8dd2c6ff d,#b7e2dbff e,#a2a774ff f,#9cc696ff g,#ebf4eeff ``` ```image dc ccd bf ccc abb dcccc ebbg ccgccg bbbe cc dcc bbbb cc ccg bbbbd dcd gcc bbabb ccg ccd gbb bb cc gcc ffffffffebbfbbeffffffccfffffccc aaaaaaaabbeafbbaaaaacccaaaaaacc aaaaaaaabbaaabbaaaaaccaaaaaaaccc aaaaaaaabbaaabbeaaaaccaaaaaaaaccg aaaaaaaabbaaafbbaaaaccaaaaaaaadcc aaaaaaaabbaaaabbaaacccaaaaaaaagccd aaaaaaafbbaaaabbeaaccaaaaaaaaaggcc d aaaaaaaebeaaaaabbaaccaaaaaaaaag ccd dcd aaaaaaabbfaaaaabbaaccaaaaaaaaag gcc ccc aaaaaaabbaaaaaaebbcccaaaaaaaaag ccc cccd aaaaaaabbaaaaaaabbccaaaaaaaaaag ccg cccc aaaaaaabbaaaaaaabbfcaaaaaaaaaag dcc ccccd aaaaaaabbaaaaaaaebbcaaaaaaaaaag ccg ccgcc aaaaaafbbaaaaaaaabbcaaaaaaaaaag dcc gcc ccg aaaaaaebeaaaaaaaabbfaaaaaaaaaag ccd dcd dcc aaaaaabbfaaaaaaaafbbaaaaaaaaaag gcc dcd cc aaaaaabbaaaaaaaaacbbaaaaaaaaaag ccd ccg dcc aaaaaabbaaaaaaaaccbbeaaaaaaaaag cc cc cc aaaaaabbaaaaaaaaccfbbaaaaaaaaag ccc cc ccd aaaaafbbaaaaaaaaccabbaaaaaaaaag ccg cc cc aaaaaebbaaaaaaacccabbeaaaaaaaag dcc cc ccd aaaaaebeaaaaaaaccaaabbaaaaaaaag ccg gcc gcc aaaaabbfaaaaaaaccaaabbaaaaaaaag gcc dcd ccd aaaaabbaaaaaaaaccaaaebbaaaaaaag ccd dcd gcc aaaaabbaaaaaaacccaaaabbaaaaaaag gcc ccg ccg aaaaabbaaaaaaaccaaaaabbfaaaaaag ccc cc dcc aaaafbbaaaaaaaccaaaaaebbaaaaaag cc cc cc aaaaebeaaaaaaaccaaaaaabbaaaaaag dcc cc dcc aaaabbeaaaaaacccaaaaaabbfaaaaag ccg cc cc aaacbbfaaaaaaccaaaaaaafbbaaaaag dcc gcc ccd aaacbbaaaaaaaccaaaaaaaabbaaaaag ccd dcd cc aaacbbaaaaaaaccaaaaaaaabbeaaaag gcc dcd ccd aaacbbaaaaaacccaaaaaaaafbbaaaag ccd ccg gcc aaafbbaaaaaaccaaaaaaaaaabbaaaag gcc cc ccd aaaebeaaaaaaccaaaaaaaaaabbeaaag ccc cc gcc aaabbfaaaaaaccaaaaaaaaaaabbaaag ccg cc ccg aaabbcaaaaacccaaaaaaaaaaabbaaag dcc cc dcc aaabbcaaaaaccaaaaaaaaaaaaebeaag ccg gcc d aaabbcaaaaaccaaaaaaaaaaaaabbaag dcc dcd aaabbcaaaaaccaaaaaaaaaaaaabbfag ccd dcd aafbbcaaaacccaaaaaaaaaaaaaebbag gcc ccg aaaacccaaaccaaaaaaaaaaaaaaabbag ccd cc aaaacccaaaccaaaaaaaaaaaaaaabbfg cc cc aaaaaccaaaccaaaaaaaaaaaaaaaebbg ccc cc aaaaaccaacccaaaaaaaaaaaaaaaabbg gccgggggggggccgg aaaaaccaaccaaaaaaaaaaaaaaaaabbe fcccaaaaaaaaccafg aaaaaccaaccaaaaaaaaaaaaaaaaafbbbbg faccaaaaaaacccaag aaaaaccaaccaaaaaaaaaaaaaaaaaafbbbbbg faaccaaaaaacccaag aaaaacccccaaaaaaaaaaaaaaaaaaaag ebbbba faacccaaaaaccaaag ffffffccccffffffffffffffffffff abbbbe faaaccaaaaaccaaag cccc gbbbbbg faaacccaaaaccaaag cccc gebbbba faaaaccaaaaccaaag cccg ebbbbf faaaacccaaaccaaag ccc abbbbe faaaaaccaaaccaaag ccc gbbbbbgfaaaaacccacccaaag dcc ebbbbeaaaaaccacccaaag d fbbbbeaaaaccccaaaag ebbbbbaaccccaaaag faabbbbbfcccaaaag faaaaebbbbecaaaag faaaaaaebbbbeaaag faaaaaaaafbbbbbfg faaaaaaaaaaabbbbba faaaaaaaaaaaaaebbbbf gggggggggggggggabbbbe gbbbbbg ebbbba fbbbbe abbbbeg gbbbb eg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c2bc99ff b,#978c4eff c,#8dd2c6ff d,#b8e3dcff e,#a7a475ff f,#d9d5bfff g,#e5efe9ff ``` ```image fbbbb fbbbbg ccccd dccc abbbe gbbbbf gccccg ccc ebbba ebbbe gcccc dcc ebbbf fbbbbg dcccd cc bbbbf bbbba ccccd gc gbbbbg abbbe gccccg d fbbbb fbbbbg dcccc g fbbbe bbbba dcccd abbbe abbbb ccccd ebbba gbbbbf gccccg bbbbf ebbba dcccc bbbbf abbbb dcccd gbbbbg gbbbbf ccccg fbbbb ebbbe gccccg abbbe fbbbbg dcccc abbba gbbbbf dcccd ebbba ebbbe ccccg bbbbf fbbbbg gcccc bbbbg bbbba dcccc gbbbbg abbbe ccccd fbbbb fbbbbgccccg abbbe bbbbacccc abbba abbbbcccc ebbba fbbbbcccd bbbbf ebbbeccg gbbbbg abbbbcc fbbbb gbbbbcd fbbbb ebbbed abbbe abbbbg ebbba dbbbbf ebbbf debbbe bbbbf cebbbbg gbbbbg gccbbbba fbbbb gccebbbe fbbbe dcccbbbbg abbbe ccccbbbba ebbba gccccabbbb ebbbf dccccfbbbbf bbbbf dcccd bbbba gbbbbg ccccg abbbb fbbbb gccccg gbbbbf abbbe dcccc ebbbe abbbe dcccd abbbb ebbba ccccg gbbbbf bbbbf gcccc ebbbe bbbbg dcccc fbbbbg gbbbbg dcccd bbbba fbbbb ccccg ebbbe abbbe gcccc fbbbbg abbba dcccc bbbba ebbba ccccd abbbe bbbbf ccccg fbbbbf gbbbbg gcccc bbbba gbbbb dcccc abbbb fbbbb ccccd gbbbbf abbbe ccccg ebbba ebbba gcccc abbbb ebbba dcccd gbbbbf gbbbbf ccccd ebbbe gcccbbbbg ccccg fbbbbg gcccbbbb gcccc gbbbbf gccebbbe dcccd ebbbe ccebbbe ccccd fbbbbg ccebbba gccccg bbbba dcbbbbf dcccc abbbe dcbbbbf dcccd fbbbbg dcbbbbg ccccd bbbba gcbbbb gccccg abbbb ebbbe dcccc gbbbbf ebbbe dcccd ebbba ebbba ccccg abbbb bbbba gccccg gbbbbf bbbbc dcccc ebbbe gbbbbc dcccd fbbbbg fbbbbc ccccg gbbbbf abbbbcg gcccc ebbbe abbbecg dcccc fbbbbg ebbbecd dcccd bbbba bbbbecd ccccg abbbe gbbbbccc gcccc fbbbbg gbbbbccc dcccc bbbba fbbbbcccg ccccd abbbb faebecccg ccccg gbbbbf ccccd gcccc ebbba dcccd dcccc abbbb dcccd ccccd gbbbbf gcccc ccccg ebbbe gcccc gcccc fbbbb ccccg dcccd gbbbb ccccg ccccd ebbb dcccd gccccg fbbb dcccd gcccc bbb dcccc dcccd abb gcccc ccccd fbb gccccg gccccg ab ccccg dcccc g ccccd dcccd dcccd ccccd ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Right then, let's explore the next spot. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#d3cfb6ff b,#978c4fff c,#8cd2c7ff d,#c1e6dfff e,#adac81ff f,#a5dbd3ff g,#e3f0ecff ``` ```image gccccf ccccg dccccg gcccc ccccf gcccc dccccg dcccf ccccc dcccf gccccd fcccd fcccc fcccd gccccd ccccg fccccg ccccg gccccf gcccc dccccg gcccc ccccf dcccf dccccd dcccf fcccc fcccd gccccd fcccd fcccc ccccg gccccd ccccg fccccg gcccc gccccf gcccc dccccg dcccf a ccccf dcccf bba dccccd fcccd bbbbag fcccc fcccd bbbbbbeg gccccdccccg bbbbbbbbea fccccccccg aebbbbbbbbba gcccccccc gebbbbbbbbbeg dccccccc gabbbbbbbbbeaccccccf aebbbbbbbbbeccccf aebbbbbbbbbeccd gebbbbbbbbbed gabbbbbbbbbea aebbbbbbbbba gebbbbbbbbbag gebbbbbbbbb abbbbbbb aebbbb ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Answer: A: 2; B: 0; 2 + 0 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#cdc8acff b,#978c4fff c,#8cd2c7ff d,#cce6dfff e,#aea97bff f,#aaddd5ff g,#e7f2edff ``` ```image fc ccf be ccc abb dcccc ebbg ccgccg bbbb cc fcc bbbb cc ccd bbbbd fcf dcc bbabb ccg ccf dbb bb cc gcc abe bba gcc ccf eba abb fcf cc bbg bb ccg fcc bb bba cc ccg bb dbb gcc dcc bb bb fcf ccd abb ebe ccg gcc f ebe gbb cc ccf fcf bba bbggcc cc ccc bbg ebefcd ccc cccf bb bbcc cc cccc bb bbcc fcc ccccd gbb abbc ccg ccgcc abb bbd dcc gcc ccg ebe bba ccd dcf dcc bbd ebb gcc fcd cc bb dcbb ccf ccg fcc bb ccbba cc cc cc bb ccdbb fcc cc ccf gbb cc bb ccg cc cc abe dcc ebe fcc cc ccf eba ccd gbb ccd gcc gcc bbd cc bbg dcc dcf ccd bb cc ebe ccf fcd gcc bb dcf bb gcc ccg ccg bb ccg bbd ccf cc dcc dbb cc abb cc cc cc abe cc bb fcc cc fcc eba fcf bba ccg cc cc gcbbg ccg abb dcc gcc ccf gcbb cc bb ccd dcf cc cbb gcc bba gcc fcd ccf cbb fcf dbb ccf ccg gcc cbb ccg bb cc cc ccd ebe cc ebe ccc cc gcc bba gcc gbb cc cc ccg bbc fcf bbg fcc cc dcc bbc ccg ebe ccg gcc f bbc cc bb dcc dcf gbbc gcc bbg ccd fcd abbcg fcd abb gcc ccg ccd cc bb ccf cc dcf cc bba cc cc gcc dcc abb fcc cc cc ccd bb ccg cc cc cc bbe fcc gcc cc cc dbbbbg ccd dcf ccgdcc gbbbbbd dcc fcd fcfccd ebbbba ccf ccg dcccc abbbbe gcc cc cccc dbbbbbg ccf cc cccc bbbbba cc cc cccd ebbbba fcc cc ccc abbbbe ccg gcc fcc gbbbbbg dcc dcf dcf ebbbba ccdfcd d abbbbe gccccg abbbbbg cccc gbbbbbdccc ebbbbec abbbbe dbbbbbg bbbbba ebbbba abbbbe gbbbbbg ebbbba abbbbe abbbbb gbbbb eg ``` <!-- end of image -->
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Let's examine this image for potential line intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#b86747ff b,#5a942aff c,#c4997fff d,#b1d7b0ff e,#e4d1c4ff f,#769d48ff g,#98c691ff ``` ```image ec eaaaaaa aae ecaaaaaaaaaa eaaaa eaaaaaaaaaaaaaaa caaaaae ecaaaaaaaaaaaaaae aaae aaaaaaaa ecaaaaaaaaaaaaace aaac aaacaaaaac caaaaaaaaaaaaaae caaa aaa aaaaaa ecaaaaaaaaaaaaace eaaa aaa eaaaaac caaaaaaaaaaaaaac eaaa eaaa aaaaaacaaaaaaaaaaaaace aaa caaa eaaaaaaaaaaaaaac aaa aaac aaaaaaaace aaae fbg aaae eaace aaac bbbg aaa aaac dbbb eaaa caaa bbbf caaa eaaa bbb aaac aaa fbbb aaae aaa bbbd aaa gdddddddaaagddddfbbbdddg aaa gdddddddaaacddddbbbfdddg eaaa gdddddddaaacdddgbbbddddg caaa gdddddddcaaadddbbbbddddg aaac gdddddddcaaadddbbbgddddg aaae gddddddddaaaddfbbbdddddg aaa gddddddddaaaddbbbfdddddg aaa gddddddddaaadgbbbddddddg eaaa gddddddddaaacbbbfddddddg aaaa gddddddddaaacbbbdddddddg aaac gddddddddaaabbbbdddddddg aaae gddddddddcaabbbgdddddddg aaa gddddddddgafbbbddddddddg eaaa gdddddddddabbbfddddddddg caaa gdddddddddabbbdddddddddg aaac gdddddddddbbbbdddddddddg aaae gdddddddddbbbcdddddddddg aaa gdddddddgbbbbadddddddddg aaa gddddddbbbbbfadddddddddg eaaa gddddfbbbbbfaadddddddddg caaa gdddbbbbbbdaaadddddddddg aaac gdfbbbbbgddaaadddddddddg aaae gbbbbbbddddaaadddddddddg aaa fbbbbbgdddddaaacddddddddg eaaa ebbbbbbdddddddaaacddddddddg ddddddddcaaadddg fbbbbbgddddddddaaaaddddddddg ddddddddaaaadddd ebbbbbfddddddddddcaaaddddddddg ddddddddaaacdddd fbbbbbegddddddddddgaaaddddddddg ddbbbgddaaaddddd dbbbbbf gdddddddddddaaaddddddddg ddbbbgddaaaddddd bbbbbb gdddddddddddaaaddddddddg ddbbbgdgaaaddddd gbbbbbg gdddddddddddaaagdddddddg ddbbbgdcaaaddddd bbbbbb gdddddddddddaaacdddddddg ddbbbgdaaacddddd gbbbbbg dgggggggggggaaaagggggggd ddbbbgdaaacddddd bbbbbb caaa ddbbbgdaaadddddd fbbbbbd eaaa ddbbbgdaaadddddd ebbbbbf aaa ddbbbgcaaadddddd fbbbbbe aaa ddbbbgaaaadddddd ebbbbbf aaae ddbbbgaaacdddddd fbbbbbe aaae ddbbbgaaagdddddd dbbbbbf aaac ddbbbgaaaddddddd bbbbbb caaa ddbbbfaaaddddddd gbbbbbg eaaa ddbbbfaaaddddddd bbbbbb eaaa ddbbbfaaaddddddd gbbbbbg aaa ddbbbfaacddddddd bbbbbb aaa ddbbbfaadddddddd fbbbbbd aaae ddbbbfaadddddddd ebbbbbf aaac ddbbbfaadddddddd fbbbbbe caaa ddbbbfaadddddddd ebbbbbf caaa ddbbbfacdddddddd fbbbbbe eaaa ddbbbbagdddddddd dbbbbbf aaa ee ddbbbbaddddddddd bbbbbb aaaaaaa ddbbbbadddddddddgbbbbbg aaaaaaa ddfbbbaddddddddbbbbbb aaaaaaae ddfbbbaddddddfbbbbbg ee ddfbbbcdddddbbbbbb ddfbbbgdddfbbbbbd ddfbbbddgbbbbbbd ddfbbbdfbbbbbgdd ddfbbbbbbbbfdddd ddfbbbbbbbgddddd ddfbbbbbfddddddd ddfbbbbddddddddd ddcbbfdddddddddd dddddddddddddddd dddddddddddddddd ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b86748ff b,#5a952aff c,#cbcfb0ff d,#76903aff e,#e6e4d6ff f,#8eb36bff g,#cf9a85ff ``` ```image eaaaaaag caaaaaac gaaaaaae gaaaaaa aaaaaaa aaaaaag eaaaaaac ecccccc caaaaaae cbbbbbbe gaaaaaae cbbbbbbe gaaaaaa cbbbbbbe aaaaaag cbbbbbbe eaaaaaag cbbbbbbe eaaaaaac cbbbbbbe caaaaaae cbbbbbbe gaaaaaa cbbbbbbe aaaaaaa cbbbbbbe aaaaaag cbbbbbbc eaaaaaag cbbbbbbc caaaaaac cbbbbbbc gaaaaaae cbbbbbbc gaaaaaa cbbbbbbc aaaaaaa cbbbbbbc aaaaaag cbbbbbbc eaaaaaac ebbbbbbc caaaaaae ebbbbbbc gaaaaaae ebbbbbbc gaaaaaa ebbbbbbc aaaaaag ebbbbbbceaaaaaag ebbbbbbceaaaaaac ebbbbbbccaaaaaae ebbbbbbcgaaaaaa ebbbbbbcaaaaaaa ebbbbbbcaaaaaag ebbbbbbfaaaaaag ebbbbbbfaaaaaac ebbbbbbfaaaaaae ebbbbbbdaaaaaa ebbbbbbdaaaaag bbbbbbdaaaaag bbbbbbdaaaaac bbbbbbdaaaaae bbbbbbdaaaaa bbbbbbdaaaaa bbbbbbdaaaag bbbbbbdaaaag bbbbbbdaaaac bbbbbbdaaaae bbbbbbdaaaa bbbbbbdaaaa bbbbbbdaaag bbbbbbdaaac bbbbbbdaaae dbbbbbdaaae dbbbbbdaaa dbbbbbdaag dbbbbbdaag dbbbbbdaac dbbbbbdaae f dbbbbbdaa edb dbbbbbdaa fbbb dbbbbbdag cdbbbb dbbbbbdag efbbbbbb fbbbbbdac cbbbbbbbb fbbbbbbae efbbbbbbbbb fbbbbbba cbbbbbbbbbbb fbbbbbba efbbbbbbbbbbdc fbbbbbbg cbbbbbbbbbbbf fbbbbbbc edbbbbbbbbbbdc dbbbbbbcfbbbbbbbbbbbf dbbbbbbdbbbbbbbbbbde dbbbbbbbbbbbbbbbbc dbbbbbbbbbbbbbbfe edbbbbbbbbbbbbbc edbbbbbbbbbbbfe cdbbbbbbbbbbc gdbbbbbbbbfe adbbbbbbdc ecdbbbbf fffc ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Alright, let's concentrate on the next area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#b76847ff b,#5b952aff c,#dacbb7ff d,#abc993ff e,#eae8ddff f,#83ad5dff g,#ce9b85ff ``` ```image gaaaaaa ebbbbbbb caaaaaae dbbbbbbd caaaaaac bbbbbbbe eaaaaaac dbbbbbbf eaaaaaag fbbbbbbc aaaaaag cbbbbbbb aaaaaaa fbbbbbbd gaaaaaa ebbbbbbbe gaaaaaae dbbbbbbf caaaaaae bbbbbbbe caaaaaac cbbbbbbf eaaaaaag fbbbbbbc aaaaaag ebbbbbbb aaaaaag fbbbbbbd gaaaaaa ebbbbbbbe gaaaaaa dbbbbbbf caaaaaae bbbbbbbc caaaaaaccbbbbbbf eaaaaaacfbbbbbbd aaaaaagbbbbbbb aaaaaafbbbbbbd gaaaaabbbbbbbe gaaaaabbbbbbf gaaaabbbbbbbc caaaabbbbbbb eaaabbbbbbbd eaaabbbbbbbe aabbbbbbbf aabbbbbbbc gabbbbbbf gbbbbbbbd gbbbbbbb fbbbbbbf bbbbbbbg efbbbbbbbg dbbbbbbbbag efbbbbbbbbbaa dbbbbbbbbbbaaa efbbbbbbbbbbbaaae dbbbbbbbbbbbbaaaac efbbbbbbbbbbbaaaaaac dbbbbbbbbbbbdeaaaaaag cbbbbbbbbbbbfe aaaaaag efbbbbbbbbbbbd aaaaaaa cbbbbbbbbbbbfe gaaaaaa efbbbbbbbbbbbd gaaaaaae dbbbbbbbbbbbfe caaaaaae bbbbbbbbbbbc caaaaaac bbbbbbbbbfe eaaaaaag bbbbbbbbc aaaaaag bbbbbbd aaaaaag bbbbfe gaaaaaa bbbd gaaaaaa bfe caaaaaae d caaaaaac eaaaaaac aaaaaag aaaaaag gaaaaaa gaaaaaa gaaaaaae caaaaaac eaaaaaac eaaaaaag ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b86747ff b,#5b942bff c,#dab2a1ff d,#b6cfa1ff e,#e6ddd0ff f,#84af60ff g,#c88b73ff ``` ```image ec caaaaaa aae egaaaaaaaaaa eaaaa cgaaaaaaaaaaaaaa gaaaaac ecaaaaaaaaaaaaaac aaac aaaaaaaa egaaaaaaaaaaaaage aaag aaagaaaaac caaaaaaaaaaaaaac gaaa aaa aaaaaa egaaaaaaaaaaaaage caaa aaa caaaaag caaaaaaaaaaaaaac eaaa caaa aaaaaagaaaaaaaaaaaaage aaa gaaa eaaaaaaaaaaaaaace aaa aaac gaaaaaaagc aaae fbf aaae eaace aaac bbbf aaa gaag dbbb eaaa caaa bbbb caaa eaaa ebbb aaag aaa bbbb aaac aaa bbbd aaa aaae fbbb aaa aaac bbbf eaaa aaag ebbb gaaa gaaa bbbb aaag caaa bbbe aaae eaaa fbbb aaa aaa bbbd eaaa aaa dbbb caaa aaaebbbf gaaa aaagbbb aaac gaabbbb aaae caabbbd aaa eabbbb eaaa abbbf caaa abbb aaag bbbb aaac bbbc aaa dbbbbg aaa bbbbbaa caaa dbbbbbbaa gaaa bbbbbbeaaa aaac fbbbbbd aaa aaae ebbbbbb aaa aaa fbbbbbd aaac eaaa ebbbbbb aaag caaa fbbbbbe gaaa aaag ebbbbbf caaa aaac bbbbbbe eaaa bbbe aaae dbbbbbf aaa bbbe aaa bbbbbb aaa bbbe eaaa dbbbbbf aaae bbbe gaaa bbbbbb aaac bbbe aaag fbbbbbd gaag bbbe aaae ebbbbbb caaa bbbe aaa fbbbbbd eaaa bbbd aaa ebbbbbb aaa bbbdcaaa fbbbbbe aaa bbbdgaaa ebbbbbf aaae bbbdaaac bbbbbbe aaac bbbdaaae dbbbbbf aaag bbbdaaa bbbbbb gaaa bbbdaaa dbbbbbf caaa bbbfaaa bbbbbb eaaa bbbbaag fbbbbbd aaa bbbbaac bbbbbb aaa bbbbaa fbbbbbd aaae bbbbaa ebbbbbb aaac bbbbaa fbbbbbe gaag bbbbaa ebbbbbf caaa bbbbag bbbbbbe eaaa bbbbae dbbbbbf aaa ec bbbba bbbbbb aaaaaaa bbbba dbbbbbf aaaaaaa fbbba bbbbbb aaaaaaae fbbba fbbbbbd ee fbbbc bbbbbb fbbbe fbbbbbd fbbb ebbbbbb fbbb fbbbbbe fbbbbbbbbf bbbbbbbbe bbbbbbf bbbbb cbbf ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#90ba8aff b,#def0efff c,#b2d7b2ff d,#cbe2cfff e,#97c796ff f,#f0f7f2ff g,#a7cea5ff ``` ```image f bb fbf bb bb fbb bb bbf fbb bb bbf fbb b bb b bbf b bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeee bb eccccccccccccccccccccccccccccccbcccc fbf eccccccccccccccccccccccccccccccbcccc bb eccccccccccccccccccccccccccccccbcccc bb eccccccccccccccccccccccccccccccbcccc fbf ecccccccccccccccccccccccccccccdbcccc bb ecccccccccccccccccccccccccccccdbcccc af bb ecccccccccccccccccccccccccccccdbcccc ab fbf ecccccccccccccccccccccccccccccdbcccc ad bb ecccccccccccccccccccccccccccccdbcccc ad bb ecccccccccccccccccccccccccccccbdcccc ac fbf ecccccccccccccccccccccccccccccbdcccc ec bb ecccccccccccccccccccccccccccccbdcccc gg bb ecccccccccccccccccccccccccccccbccccc ce bf fbf ecccccccccccccccccccccccccccccbgcccc da fag bb eccccccccccccccccccccccccccccabccccc da aaa bbf ecccccccccccccccccccccccccccaebccccc da aeda fbb ecccccccccccccccccccccccccgaecbccccc ba ea fa bb ecccccccccccccccccccccccceagccbccccc fa da a bbf ecccccccccccccccccccccccaaccccbccccc a baf a fbb eccccccccccccccccccccccaacccccbccccc a ad a bbecccccccccccccccccccccaaccccccbccccc a ag ab bbdccccccccccccccccccgaecccccccbccccc a ea ad gbbccccccccccccccccgagccccccccbccccc a ca ec ecbbcccccccccccccceagcccccccccbccccc a daf cg eccdbdcccccccccccaaccccccccccdbccccc af fab da eccccbbcccccccccaacccccccccccdbccccc ab ac ba ecccccbbcccccccaaccccccccccccdbccccc ad ae fa eccccccdbdcccgaecccccccccccccdbccccc ad fa a eccccccccbbceagccccccccccccccdbccccc ec fa a ecccccccccbbeccccccccccccccccbdccccc gc ba af ecccccccccacbdcccccccccccccccbdccccc gg da ab eccccccccaaccbbccccccccccccccbdccccc ce da ad ecccccccaaccccbbcccccccccccccbdccccc da da gg ecccccgaeccccccdbdcccccccccccbdccccc da ce ce ecccceagcccccccccbbccccccccccbcccccc ba cg da ecccaaccccccccccccbbcccccccccbcccccc fa gg fa eccaaccccccccccccccdbdcccccccbcccccc fa ec a ecaacccccccccccccccccbbccccccbcccccc a ac a eaecccccccccccccccccccbbdccccbcccccc a ad a dagcccccccccccccccccccccdbbcccbcccccc a ad af gaeccccccccccccccccccccccccbbccbcccccc a ab ad ea ecccccccccccccccccccccccccbbdbcccccc a ab ec aa eccccccccccccccccccccccccccdbbcccccc afaf gg fae eccccccccccccccccccccccccccccdcccccc afa da bac eggggggggggggggggggggggggggggggggggg aba ba dad ffffffffffffffffffffffffffffffffffff ada fa gaf ada a aa eca a aa gga af fag cga ab dac caa ad cab daa gc eaf daa ce aa baa da ae faa ba fag aa a dad ae a gab ae a ea ag af aa ac adae ac aac ad dd ad ab ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#91ba8bff b,#dff1f3ff c,#bad4b7ff d,#e3ede2ff e,#a5c7a1ff f,#eff7f7ff g,#d0e2cfff ``` ```image bbb bbf bbf bbf bbf bbf bbf bbf bbf bbf fbb fbb fbb fbb fbb fbb fbb fbb fbb bbb bbb bbf bbf bbf bbf bbf bbf bbcg bbead dbbec gebbg caebb feaacbb feaaefbb daaac fbb gaaac fbb gaaag fbb caaad fbb feaaef fbb feaaef bbb daaac bbb gaaag bbf caaag bbf f caaad bbf bb feaaef bbf bbbf daaaef bbf fbbbf daaac bbf fbbbb gaaag bbf fbbbf caaad bbf fbbbf feaaed bbf bbbb feaaef fbb fbbbf daaac fbb fbbbf gaaac fbb bbbbf gaaag fbb fbbbf caaad fbb fbbbb feaaef fbb bbbbf feaaef fbb fbbbf daaac fbb fbbbb gaaag fbb bbbbf caaag bbb fbbbfcaaad bbb fbbbgaef bbf dgbbbf bbf daacbbbf bbf gaaagfbbbb bbf caaad bbbbf bbf feaaad fbbbf bbf feaaef fbbbb bbf daaac bbbbf bbf gaaac fbbbf bbf gaaag fbbbb fbb caaad bbbbf fbb feaaef fbbbf fbb feaaef bbbb fbb daaac fbbbf fbb gaaag fbbbf fbb caaag bbbb fbb caaad fbbbf fbb feaaef fbbbb fbb deaaef bbbbf bbb daaac fbbbf bbb aaag fbbbb bbf aad bbbbf bbf ad fbbbf bbf f fbbbb bbf bbbbfbbf fbbbbbf fbbbbf bbbf ff ``` <!-- end of image --> Bingo! This close-up reveals 2 intersections in area A! Answer: A: 2; 2 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#90ba8aff b,#e0f1f2ff c,#b4d0b0ff d,#dce9daff e,#9fc39aff f,#f1f8f6ff g,#c8ddc6ff ``` ```image b bb fbb bb bbf fbb bb bbf fbb bb bbf fbb b bb b bbf b fbb b bb b bbf b bb b bb b fbf fb bb fb af bb fb ad fbf fb ad bb bb ag bb bb ag fbf bf ec bb bf ce bbf bg ce df fbb be ga fac bb ab ga aaa bbf faeb da aeda fbb dag b ba ea fa bb cad b fa ga a bbf eaf b a baf a fbb aa b a ag a bb ae b a ae ab bbf bac b a ea ag fbb gag b a ca ec bb cab fb a daf ce bbf ea fb af fad ga bb aa fb ad ac da bb fae fb ad ae fa fbf dac fb ag fa a bb gad bb ec ba a bbef bb ec da af agbf bf ce da ad aa bb bf ce ga ag fae bb bf ga ga ec dag fbf bf da ce ce cad bb b da ce da eaf bb b ba ec ba aa fbb b fa ec a ae bb b a ag a bac bbf b a ag a gag fbb b a ad ab cab bb b a ad ad ea bbfb a ab ec aa fbb afaf ce fae f aba ga dac ada da gad aga fa eaf aga a aa eca a aa eca af fae cea ad dag gaa ag cad gaa ec eaf daa ce aa daa ga ae faa ba bac aa a gag aa a cab ae a eaf ac af aa ac agae ac aac ag dd ag ad ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#697f1bff b,#a1c496ff c,#7f864eff d,#96a470ff e,#b1d7b1ff f,#eff3ecff g,#6b522fff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeeeebaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeeeaaeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeegeeeaaeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeebccabeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeecabeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeebgeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeebceeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeegeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeegeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeebceeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeegeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeecbeeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeebceeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeegeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeecbeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeebceeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb eeeeeeeegeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeebgggcdddbbeeeffff eeeeeeeecbeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeegeeb fffeeebbdddcccggggggggggggf eeeeeeeeegeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeegbeeb ee eeeeeeeeegeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeecdeeeb fd eeeeeeeeecbeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeedgeeeeb c eeeeeeeeeegeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeegeeeeeb g eeeeeeeeeegeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeegeeeeeeb g eeeeeeeeeecbeeeeeeeeeeedceeeeeeeeeeeeeeeeeeegbeeeeeeb g eeeeeeeeeeegeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeecceeeeeeeb g eeeeeeeeeeegeeeeeeeeeeeedceeeeeeeeeeeeeeeebgeeeeeeeeb c eeeeeeeeeeecbeeeeeeeeeeeeaeeeeeeeeeeeeeeeegeeeeeeeeeb df eeeeeeeeeeeegeeeeeeeeeeeeddeeeeeeeeeeeeeegbeeeeeaeeeb eb eeeeeeeeeeeegeeeeeeeeeeeeeaeeeeeeeeeeeeecdeeeeeeaaeeb fd eeeeeeeeeeeecbeeeeeeeeeeeeddeeeeeeeeeeedgeeeeeeeacdeb g eeeeeeeeeeeeegeeeeeeeeeeeeeaeeeeeeeeeeegeeeeeeebceaeb g eeeeeeeeeeeeegeeeeeeeeeeeeeddeeeeeeeeegeeeeeeeeddeeab g eeeeeeeeeeeeecbeeeeeeeeeeeeeaeeeeeeeegbeeeeeeeeceeecc g eeeeeeeeeeeeeegeeeeeeeeeeeeeddeeeeeecceeeeeeeeeaeeeea g eeeeeeeeeeeeeegeeeeeeeeeeeeeeaeeeeebgeeeeeeeeeeaeeeeba c eeeeeeeeeeeeeecbeeeeeeeeeeeeeddeeeegeeeeeeeeeeeaeeeebdb de eeeeeeeeeeeeeeegeeeeeeeeeeeeeeaeeegeeeeeeeeeeeeaeeeeb a eb eeeeeeeeeeeeeeegeeeeeeeeeeeeeecdegdeeeeeeeeeeebceeeeb fa fc eeeeeeeeeeeeeeecdeeeeeeeeeeeeeeadceeeeeeeeeeeeddeeeeb db g eeeeeeeeeeeeeeeegeeeeeeeeeeeeeecgeeeeeeeeeeeeecbeeeeb a g eeeeeeeeeeeeeeeegeeeeeeeeeeeeeegaeeeeeeeeeeeeeaeeeeeb fa g eeeeeeeeeeeeeeeeddeeeeeeeeeeeegbcbeeeeeeeeeeeeaeeeeeb db g eeeeeeeeeeeeeeeeegeeeeeeeeeeecdeeaeeeeeeeeeeeeaeeeeeb a eeeeeeeeeeeeeeeeegeeeeeeeeeedgeeecbeeeeeeeeeeeaeeeeeb fa eeeeeeeeeeeeeeeeeddeeeeeeeeegeeeeeaeeeeeeeeeeeceeeeeb db eeeeeeeeeeeeeeeeeegeeeeeeeegeeeeeecbeeeeeeeeeddeeeeeb a eeeeeeeeeeeeeeeeeegeeeeeeegbeeeeeeeaeeeeeeeeecbeeeeeb fa eeeeeeeeeeeeeeeeeeddeeeeecceeeeeeeecbeeeeeeeeaeeeeeeb db eeeeeeeeeeeeeeeeeeegeeeebgeeeeeeeeeeaeeeeeeeeaeeeeeeb a eeeeeeeeeeeeeeeeeeegeeeegeeeeeeeeeeeabeeeeeeeaeeeeeeb fa eeeeeeeeeeeeeeeeeeeddeegbeeeeeeeeeeeeaeeeeeeeaeeeeeeb db eeeeeeeeeeeeeeeeeeeegegdeeeeeeeeeeeeeabeeeeeeceeeeeeb a eeeeeeeeeeeeeeeeeeeegdgeeeeeeeeeeeeeebaeeeeeddeeeeeeb fa ffffffffffffffffffffbgffffffffffffffffafffffdefffffff db a a a af a fa fa a db af a a fa c fa afeb db fadf a ac fa fa db d a fa db a fa db a fa db a fa db a fa db a ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b801cff b,#afaf89ff c,#7e684aff d,#91935cff e,#ccccb4ff f,#e8e8deff g,#694f2cff ``` ```image f fdab fbaaaeba baaae af fcd baaab bb cg eaab a bge eaabf ab fgdedaab aa caaadf bab fdaadf aa adgd bab f cg aa bge bab cg bae bge faa fgd bae cgf faa bge bae fgd faa cgf bae bge faa fgd bae cg fad bg dae cf da bb fa fc de gf fd gb ae gc ad dgf dae egb fad fcccc fgc dae cgccg dgf fad gd egb daf ec dgf daf fcg egb ead dgb fgc daf bgd dgf ead egcf egb daf fggf gc ead cge dgf daf dgb egb ead bgc gc daf eggf dgf eab fcge egb aa cgb gc ea bgd egb eb fgf gc af ce dgf ab dg egb aaf bgd b gc eab egcf ea dgf aaf fggf bab egb bab cgb baaf gc aaf bgd daad dg bab egc aabab eg aa fggf ad aaf g bab fcge fad ead eb bab bgd eae aa c aa egcf baf ea ge bab ggf daf b gb faa ge aa gg bab db ad bge faa bg fad egb bae egg eab cg faa fcge eae bge bae cgb bae egd faa bgd daf cg ba egc da egd be cge fad cg fa dgb eab bge aebgd eae fgd aagcf bae cg dagf daf bge caa da fgd gaae ad cg ecfad fad bge fgf dae fab fgd fcg fad eae cg dgb dae bae fgd egcf dae da cg fggf fad aa bge cge daf fad fgd dgb ead fab cg bgc daf eab bge egcf ead bae fgd fcge daf daf cg cgb ead da bg bgd daf aa fg gc ead ad cf fgf da fab fd dg df bae gf bgd ed baf ge egcf af da gd fggf ab aa cgf cgb aaf ad bgb bgd eab fab ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#6a801cff b,#b8b997ff c,#867752ff d,#9c9f6bff e,#d4d2c1ff f,#eeeee7ff g,#6a502dff ``` ```image f faaf faa a c aaf af edcaf a dae a fcf fa fc a g fa cf a fc fa g a cf fc fc a g fc cf a fc ec g a fgcccdddbbbeeefff cf ed g ffeeebbbbddcccggggggggggggf fc a gf bb g ed cb fd cf a ec c fc ed g g g a g g df ed ge g fc a dd g g bd fg c de a g de c bb gf a eb g a cb aa fd de bb bc adb g g a fg fd a g g bb g be fa g de a ge df db g g bb dd a a g g a eg a fa c de db g a db be g a gf a a eb g de ce fd fa fc de abc bb db g g dg df a g g ga a fa g be gfde a db g g cb a a a g ec de a fa be g a fd db g g de eb a g ge a df fa bb dd cf a db g fg a a a g g cf a fa bb gf a a db g cb af d a gbc a eb fa bg af df db a a a af a fa a a db af a a fa c fa a eb db fade a aa fa fa db d a fa db a fa db a fa db a fa db a fa db a ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#557c19ff b,#4693d8ff c,#7ea058ff d,#ecf3edff e,#8ebedcff f,#a2cda0ff g,#b2d7b1ff ``` ```image d bbbe dbe bb bbd ebe ddddddddddddd ebe bbd fffffffffffffd bb dbb ggggggggggggfdebe ebe ggggggggggggfbb bb gggggggggggbbd ebe gggggggggfbbfd bb ggggggggbbggfd ebe ggggggebbgggfd bb gggggbbgggggfd ebd gggebeggggggfd bb gggbggggggggfd ebd ggggggggggggfd dbe ggggggggggggfd bb ggggggggggggfd dbe ddddddddddddddddddddddddddddddddd ggggggggggggfd bb dfffffffffffffffffffffffffffffffff ggggggggggggfd ebedfgggggggggggggggggggggggggggggggg gggafgggggggfd bbfgggggggggggggggggggggggggggggggg ffffaffffffffd ebfggggggggggggggggggggggggggggggg ddddacddddddd dfbbgggggggggggggggggggggggggggggg ad dfgbbggggggggggggggggggggggggggggg ga dfggfbbggggggggggggggggggggggggggg af dfggggbbgggggggggggggggggggggggggg a dfgggggebegggggggggggggggggggggggg ca dfgggggggbbggggggggggggggggggggggg ad dfggggggggebeggggggggggggfcaaggggg da dfggggggggggbbggggfccaaaaacfaggggg ac dfggggggggggfcaaaaaacfggggggaggggg a dfggggfcaaaaaccbbgggggggggggaggggg fa dcaaaaacfgggggggbbggggggggggaggggg af dacfggggggggggggggebeggggggggaggggg a gagfgggggggggggggggggbbgggggggaggggg ca ca dfggggggggggggggggggebegggggaggggg ad aa dfggggggggggggggggggggbbggggaggggg da dac dfgggggggggggggggggggggbbfggaggggg ac gag dfgggggggggggggggggggggggbbgaggggg a ca dfggggggggggggggggggggggggbbaggggg fa aa dfgggggggggggggggggggggggggfabgggg ag dac dfggggggggggggggggggggggggggabgggg da gad dfggggggggggggggggggggggggggafgggg ca ca dfggggggggggggggggggggggggggafgggg ad aa dfggggggggggggggggggggggggggafgggg da dac dfggggggggggggggggggggggggggafgggg ac fad dfggggggggggggggggggggggggggafgggg a ca dfggggggggggggggggggggggggggafgggg fa aa dfggggggggggggggggggggggggggacgggg ag daf dfggggggggggggggggggggggggggccgggg da fad dfggggggggggggggggggggggggggccgggg ca ca dfggggggggggggggggggggggggggccgggg ad aa dfggggggggggggggggggggggggggccgggg da daf fffffffffffffffffffffffffffccffff acfad fc aa fc d fc gc gc ga ga da da da da a a a a a a a a a a a a a a a ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#537a15ff b,#4090daff c,#789748ff d,#dceaf2ff e,#6daae2ff f,#aacdeeff g,#acbf8fff ``` ```image f deb fbbb debbed fbbbf debbed ebbbf fbbbed debbbf fbbbe debbed fbbbf fbbed ef gg gaad cac daag ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. I'm ready to analyze the next area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#537b16ff b,#4693d9ff c,#a0b57eff d,#d8e6eaff e,#8ebde8ff f,#79984dff g,#c4d2b0ff ``` ```image d be bbbd dbbbe debbbd ebbbe dbbbe ebbbd dbbbe ebbbd dbbbe ebbbd ebbbe dbbbed ebbbd dbbbe dd ebbbd dgccfaaag dbbbe dgcffaaaaaaaaac ebbbd ggcfaaaaaaaaaafcggfac dbbbe dgccfaaaaaaaaaffcgd cac dgffaaaaaaaaaafccgd cac dgcffaaaaaaaaafccgd cac dggcfaaaaaaaaaffccbbbe cac dgccfaaaaaaaaaffcgd ebbbd cac gffaaaaaaaaafccgd dbbbe cac aaaaaafcggd ebbbd caf afgd dbbbe caf c ebbbd caf ebbbe gaf dbbbed gaf ebbbd gaf dbbbe gaf ebbbd gaf dbbbe gaf ebbbd gaa dbbbe gaa debbbd gaa ebbbegaa dbbbbaa ebbaa dbaae daabb daabe daad aad aad aad aad aad aad aag aag aag fag fag fag fag fag fag fac fac fac fac cac cac cac ``` <!-- end of image --> Bingo! This close-up reveals 2 intersections in area B! Answer: A: 0; B: 2; 0 + 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#527a15ff b,#4593daff c,#90aa6bff d,#d5e3e1ff e,#8bbbe8ff f,#6b8e38ff g,#b9c9a1ff ``` ```image d bbbe dbe bb bb dbe ebe bbd bb dbb ebd ebe bb bb ebd dbe dbb bb bbd dbe dbe bb bb ebd ebe bb e ebd dbe bb dbe bb ebd ad bb da ebd fc bb a bb ga dbe ag bb a dbe cf bb ad ebd gcaa da bb gcaaaafcda fc dcfaaaafgd a a dcfaaaacgbe a ga caaaaacg bb a ag acd dbe a a gad bb a cf fa ebd a ad af bb a da ac ebd a fc gad bb a a fa bba ga af dae ag dac ab a gad ad cf fa ad ad af ad da dac ad fc gad fg a fa fg ga af fg ag dac fg a gad cg cf fa cc ad af cc da dac cc fcgad cc aa gc gf gf gf gf da da da da a a a a a a a a a a a a a a a a ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#7e7fb1ff b,#a437a8ff c,#5c5ea3ff d,#c295cbff e,#b1d7b1ff f,#ebe7f0ff g,#97c49bff ``` ```image df bd dbb bd dbbdbf db bbbd bb db bbbf bd fb fbbbf db b fbbbf bd bfggggggggggggggge fbbb fb bdeeeeeeeeeeeeeeeg dbbb bb bbeeeeeeeeeeeeeeeg dbbd fbf dbeeeeeeeeeeeeeeeabbd bb fbeeeeeeeeeeeeebbbd bd beeeeeeeeeeebbbdg db bgeeeeeeeebbbgeeg bd baeeeeeebbbeeeeeg db bbeeegbbbeeeeeeeg bb dbedbbbeeeeeeeeeg fbf dbbbbeeeeeeeeeeeg bb fbaeeeeeeeeeeeeeg bf feeeeeeeegceeeeeg db feeeeeeeeccceeeeg bd feeeeeeeeceaceeeg db feeeeeeeaceeaceeg bb gggggggcagggccge fb c acf bb ac acf bf cd acf db fc acf bd cc acf db cf acf bb dc acf fb ca acf bb c acf bf ac acf bb cd acf bd fc acf db ac acf bd cd cf acf fb cd fc acf bb cd ca acf bf fca cf acf bb dca dc acf bd aca ca acf db cca c acf bd cca ac acf fb cca cd acf bb caa fc acf fbf fcac cc acf bb acac cf acf bd caac dc acf ffdbfffffffffcdacffff ca acf geeebaeeeeeeeecgaceeee cf acf geeedbeeeeeeeeceaceeee acf geeeebbeeeeeeeceaceeee acf geeeeebeeeeeeaceaceeee acf geeeeebbeeeeeaceaceeee acf geeeeeebdeeeecaeaceeee acf geeeeeebbeeeecgeaceeee acf geeeeeeebaeeeceeaceeee acf geeeeeeedbeeeceegceeee acf geeeeeeeebbegceegceeee acf geeeeeeeeebeaceegceeee acf geeeeeeeeebbcceegceeee acf geeeeeeeeeebcaeegceeee acf geeeeeeeeeebcgeegceeee acf geeeeeeeeeeecaeegceeee acf geeeeeeeeeeecbeeeceeee acf geeeeeeeeeegcbbeeceeee acfgeeeeeeeeeeacgbeeceeee acgeeeeeeeeeecaebbeceeee aceeeeeeeeeecaeebeceeee cceeeeeeeeeceeebbceeee gcceeeeeeeeceeeebceeee gecceeeeeegceeeeaceeee geecceeeeeaceeeeecgeee geeecceeeecceeeeeceeee geeeecceeecaeeeeeceeee geeeeecceecgeeeeeceeee geeeeeecceceeeeeeceeee geeeeeeeccceeeeeeceeee geeeeeeeecceeeeeegeeee geeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7879b3ff b,#a332a7ff c,#5b5ca3ff d,#dab7dfff e,#c28acbff f,#eee3f1ff g,#b65cb9ff ``` ```image f d d e g b bf bf bd fg be dgbb bg dgbbbb bg dgbbbbgd bb dbbbbbgd bbf febbbbbef bbd febbbbbef bbe febbbbbef bbe febbbbbef bbg dgbbbbbd gbb dgbbbbgd ebbf dgbbbbgd ebbddgbbbbgd dbbbbbbbgf fbbbbbef bbbef fdf eaf dccaf acccaf fcccccaf dcceaccaf accf accaf fcca accaf eccd accaf ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Okay, let's proceed to the next area. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#7879b3ff b,#a335a8ff c,#5c5ca3ff d,#c7bddcff e,#c176c4ff f,#eae6f2ff g,#9a9ac6ff ``` ```image ebbd fccg acc fbbbf dccd gcc ebbe gccf gcc bbbf gcc gcc dbbe acc gccf ebbd cca gccf fbbb fccg gccf ebbd dccd gccf fbbbf dccd gccf ebbe gccf gccf bbbf acc gccf dbbe cca gccf bbbd ccg gccf dbbb fccg dccf ebbd dccd dccd fbbbf gccf dccd ebbe gccf dccd fbbbf acc dccd dbbe cca dccd bbbf fccg dccd dbbb dccd dccd ebbd dccd dccd fbbb gccf dccd ebbe acc dccd fbbbfaca dccd dbbecca dccd bbbccg fccd dbbccd fccg ebccd fccg fcccf fccg ccce fccg cccbf fccg fcccbe fccg dcccbbf fccg dccgbbe fccg gccfebbd fccg gcc fbbb ccg aca ebbd ccg f cca fbbbf ccg af fccg ebbe ccg caf dccd bbbfcca ccaf dccd dbbecca accaf gccf ebbcca faccaf acc fbbcca faccaf cca ebcca faccaf fccg fbcca faccaf fccg eccc faccaf dccd cccf faccaf gccf cccf faccaf gcc aca faccaf acc acc faccaf cca acc faccaf fccg acc faccaf dccd acc faccaf dccd acc faccaf gccf acc faccafacc gcc faccacca gcc faccccg gcc facccg gccf faccd fdd fgg ``` <!-- end of image --> My analysis confirms the presence of 2 intersections in area B. Answer: A: 0; B: 2; 0 + 2 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#797ab3ff b,#a435a8ff c,#5b5ca3ff d,#d3badeff e,#c175c4ff f,#ece8f3ff g,#a0a1caff ``` ```image ef bd ebb be ebbdbf eb ebbd bb db bbbd bd fb fbbbf eb b fbbbf be bd dbbb db be dbbe bb bb ebbe fbf eb ebbe bb fb ebbd bd b bbbd eb bf fbbbf be bd fbbbf db be dbbb bb eb dbbe fbf dbbbe bb be bd dcf eb cccf be cfacf db gc acf bb cg acf fbf c acf bb ac acf bd cd acf eb fc acf be cc acf db cf acf be dc acf fb ca acf bb c acf bf gc acf eb cg acf bd fc acf eb ac acf be cg cd acf db cg dc acf bb cg ca acf fbf fcg cf acf bb gcg gc acf bd aca cg acf eb cca c acf be cca ac acf db cca cg acf bb caa fc acf fbf dcaa cc acf bb gcac cd acf bd caac dc acf eb cgac ca acf be cfgc cf acf db c gc acf bb fc gc acf fbf gc gc acf bb ac gc acf bd ca gc acf eb cd gc acf be cf dc acf db c dc acf bb dc dc acf fb gc dc acf bbaa dc acf bcg dc acf ecd fc acf ce fc acf fcb fc acf dcbe fc acf acfb fc acf ca bb c acf cd bfc acf cf ebc acf c bc acf fc ec acf gc cf acf ac c acf cg c acf cd c acfc c acc cf ac d ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#108176ff b,#b1d6b2ff c,#295c4bff d,#67ab9bff e,#c9e1deff f,#92c49fff g,#3b9283ff ``` ```image fbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbgbbbbbbbbbbbbbb c fbbbbbbbbbbbagbbbbbbbbbbbbb fccf fbbbbbbbbbbbaabbbbbbbbbbbbb ccc fbbbbbbbbbbfaabbbbbbbbbbbbdccd fbbbbbbbbbbdaafbbbbbbbbbbccc fbbbbbbbbbbdaagbbbbbbbbdccg fbbbbbbbbbbgaaabbbbbbbcccbb fbbbbbbbbbbgagabbbbbfccgbbb fbbbbbbbbbbaadafbbbcccfbbbb fbbbbbbbbbbaabadbfccgbbbbbb fbbbbbbbbbbaabaacccfbbbbbbb fbbbbbbbbbbaabacccbbbbbbbbb fbbbbbbbbbbagcccfbbbbbbbbbb fbbbbbbbbbbacccadbbbbbbbbbb fbbbbbbbbbcccfbaabbbbbbbbbb fbbbbbbbfcccdbbaabbbbbbbbbb fbbbbbbgccdafbbdabbbbbbbbbb fbbbbfcccbdabbbbadbbbbbbbbb fbbbgccfbbdabbbbaabbbbbbbbb fbbcccbbbbgabbbbaabbbbbbbbb bcc fgccdbbbbbgabbbbdabbbbbbbbb bccccc cccbbbbbbbaabbbbbadbbbbbbbb bcc cccg dccdbbbbbbbbaabbbbbaabbbbbbbb bcc cccd cccfbbbbbbbbbaabbbbbaabbbbbbbb bcc cccf fccf fbbbbbbbbbaabbbbbgabbbbbbbb bcc ecccf ccc fbbbbbbbbbagbbbbbfafbbbbbbb bcc ecccccf fbbbbbbbbbagbbbbbbagbbbbbbb bcc bcc fbbbbbbbbbadbbbbbbaabbbbbbb bcc fbbbbbbbbbadbbbbbbgabbbbbbb bcc fbbbbbbbbfafbbbbbbfafbbbbbb bcc fbbbbbbbbfafbbbbbbbagbbbbbb bcc fbbbbbbbbdabbbbbbbbaabbbbbb bcc bffffffffgaffffffffgaffffff bcc da eae bcc ga ad bcc aa aa bcc aa ga bcc aa bae bcc ag ad bcc ag aa bcc ad ga bcc af ba bcc ae af bcc e eae aa bcc gaag ba aa bcc daaaaaa fa fa ecc daaaaf bae da af ecc faaaad ag ga aa ecc baaaad aa aa aa g eaaaag bae aa fa egaaage ag aa ab egaaaae aa aa ag daaaab eaeag aa daaaaf aaad da faaaaf aaaf eab faaaad eaab ag baaaad aae aa eaaaage ga da egaaage ea eae gaaaae ag daaaab aa daaaaf da aad eae ad aa ga eae ad aa ga ba ad aa aa fa af aa aa fa ab e ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#108176ff b,#aecdc8ff c,#2a5d4cff d,#459d95ff e,#dae9e7ff f,#82b9b3ff g,#648a7eff ``` ```image bdd daaf aaad aaaa eaaaae eaaaaf eaaaad b baaaaa egc baaaaae bccc faaaaab egcccc faaaaad bcccccg faaaaaa egcccccb daaaaaae bcccccge daadaaab egcccccb daafdaaf bcccccge aaaffaad gcccccb aaabbaaae bcccccge aaabeaaab gcccccb eaaae daaf bcccccge eaaae faad gcccccf baaae baaabcccccge baaa eaaccccccf faaa acccccge faad fcccccf faadegccccce daagccccccab dacccccgaaaf acccccf daad egccccce faaa fcccccg eaaae egcccccab aaaf bccccccaab daad egcccccbaaae faaa bcccccg baaae eaaae egcccccb baaa aaaf bcccccge baaa daad egcccccb faaa faaa bcccccge faad baaae egcccccb faad aaab bcccccge daad daad gcccccb daaf faaa bcccccge daaf baaae gcccccb aaaf eaaab ccccge aaab daaf cccf eaaab faad cge eaaae baaae f eaaae eaaab baaa daaf baaa faad faaa baaae faad eaaab faad aaaf daad daad daaf baaa daaf eaaab aaaf aaaf aaab daad aaab faaa eaaae eaaab eaaae aaaf baaae daad baaa faaa baaa eaaae faad aaaf ``` <!-- end of image --> Success! This area contains 2 intersections point! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#108176ff b,#b0ccc7ff c,#295c4bff d,#60a39bff e,#d5e7e5ff f,#83b9b3ff g,#3b9086ff ``` ```image g c ad fccf eaa ccc eaa bccd baae ccc faad bccd daaa ccce gaga bccd aabae ccce aa af bccg aa aaccce aa accg aggcce accgaf gcce aa ecccb aa gccbae fa eccc ba af dccb fa aa ccc da aa bcc dccb ga fa bccccc ccc aa ab bcc cccg dccf aa ag bcc cccd ccc aa aa bcc ecccf fccf aa da bcc ecccb ccc ag eab bcc bcccccf ad ag bcc bcc af aa bcc ab da bcc eae eae bcc bae ad bcc ba aa bcc fa da bcc da bae bcc ga ad bcc aa aa bcc aa ga bcc aa bae bcc ag ad bcc ag aa bcc ad ga bcc af ba bcc ab af bcc e eae aa bcc egaag ba aa bcc daaaaaa fa fa bcc faaaaf bae da af bcc faaaaf ag ga aa ecc baaaad aa aa aa d baaaage bae aa fa egaaage ag aa ab egaaaae aa aa ag daaaab baeag aa daaaaf aaad fa faaaaf aaaf eab faaaad baab ag baaaad aae aa eaaaage ga da egaaage ea eab gaaaab ag daaaab aa faaaaf da aaf eae ad aa ga bae ad aa ga ba af aa aa fa af aa aa fa ab b ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c7b2fff b,#92c696ff c,#b1d7b1ff d,#359251ff e,#ecf4f5ff f,#cbe3d3ff g,#5fa972ff ``` ```image g ab dd ba ea ae ab da ca a af ag ga ca bbbbbbabbbbbbbbbbbbbbe ccccccabccccccccccccce ccccccadccccfcccccccce ccccccgaccceeeccccccce ccccccbacccefeecccccce cccccccacccecceefcccce cccccccagcfecccfeeccce cccccccadcefccccceecce cccccccgaceccccccceece ccccccccafecccccccceee ccccccccafecccccccccfee ccccccccabfcccccccccceee ccccccccddccccccccccce ee ccccccccbaccccccccccce ee cccccccceaccccccccccce eee a cccccccceabcccccccccce ee a cccccccfeagcccccccccce ee a ccccccceedacccccccccce ee a cccccccefbacccccccccce ee ea ccccccceccacccccccccce ee fa ccccccfeccabccccccccce ee ca ccccccefccadccccccccce ee ba ccccccecccdaccccccccce ee ba cccccfecccbaccccccccce ee ga ccccceeccccaccccccccce ee da cccccefccccagcccccccce ee dd cccccecccccadcccccccce ee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageeee ccccfecccccgacccccccce eeebcccccccccccccccccccccccccccccccccccccagcccb ccccefcccccbacccccccce eeccccccccccccccccccccccccccccccccccccccagcccb bbbbebbbbbbbabbbbbbbbe eefccccccccccccccccccccccccccccccccccccagcccb e ab efefcccccccccccccccccccccccccccccccccccabcccb ee dd ecfefcccccccccccccccccbgcccccccccccccccabcccb e ba eccfefcccccccccccccccdaacccccccccccccccaccccb ea ecccceecccccccccccccaabadccccccccccccccaccccb ae eccccceeccccccccccbaaccbaccccccccccccccaccccb ab ecccccceeccccccccdagccccadcccccccccccccaccccb da eccccccceeccccccaaccccccbaccccccccccccbaccccb ca ecccccccceecccgadccccccccagcccccccccccbaccccb a eccccccccceecaabcccccccccgacccccccccccbaccccb af ecccccccccccaaccccccccccccagccccccccccgaccccb ag ecccccccccdagefcccccccccccgaccccccccccgaccccb ga eccccccccaabcfefcccccccccccagcccccccccdaccccb fa eccccccgaaccccfefccccccccccgacccccccccdaccccb a ecccccaagccccccfefccccccccccabccccccccadccccb ac ecccbaacccccccccceecccccccccdaccccccccadccccb ag eccdadcccccccccccceecccccccccabcccccccagccccb ga ecaabcccccccccccccceeccccccccdacccccccagccccb fa baaccccccccccccccccceeccccccccabccccccagccccb a dagccccccccccccccccccceecccccccaaccccccabccccb ab eaaeccccccccccccccccccccceecccccccaccccccabccccb dd gad ecccccccccccccccccccccceeccccccaacccccacccccb ba aaf eccccccccccccccccccccccceeccccccacccccacccccb ea caa eccccccccccccccccccccccccfefccccaaccccacccccb ae dab ecccccccccccccccccccccccccfefcccbaccccacccccb ab eaae eccccccccccccccccccccccccccfefcccadccbacccccb da bad ecccccccccccccccccccccccccccceeccbaccbacccccb ca aac eccccccccccccccccccccccccccccceeccadcbacccccb a faa ecccccccccccccccccccccccccccccceecbacgacccccb af dag eccccccccccccccccccccccccccccccceecaggacccccb ag eaae ecccccccccccccccccccccccccccccccceegadacccccb ga bad eccccccccccccccccccccccccccccccccceeaaacccccb ca aac eccccccccccccccccccccccccccccccccccebadcccccb a faa eccccccccccccccccccccccccccccccccccceadcccccb adag ecccccccccccccccccccccccccccccccccccccefccccb aaf ecccccccccccccccccccccccccccccccccccccfefcccb eccccccccccccccccccccccccccccccccccccccfefccb ecccccccccccccccccccccccccccccccccccccccccccb ecccccccccccccccccccccccccccccccccccccccccccb ecccccccccccccccccccccccccccccccccccccccccccb ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c7b2fff b,#85bc97ff c,#aad1b7ff d,#359152ff e,#edf4fcff f,#d1e5d9ff g,#5ea775ff ``` ```image eaag dad gaae baac faab eaag ee daa eeee gaaf eeeee caac eeeeeee faab ee eeeee aad eee eeee daa eee eeee baaf eee eeeee caac eee eeeee faag eee eeee aad eee eeee gaa ee eeeee baaf eee eeeee caab eee eeee eaag eee eee dadeee ee gaaeee e baacee faabe eaage dade gaaf baac faab eaag edaa eegaaf eecaac eefaab eee aad eee gaa eee baaf eee caac eee eaag eee dad eee gaae eee baaf eee caab eee eaag eee dad eee gaae eee baac eee faab eee aag eee daa eee gaaf eee caac eee faab eee aad eee daa eee baaf eee caac eee faag ``` <!-- end of image --> Incredible, there's actually 1 intersection in area A! Let's move forward and inspect another region. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c7b2fff b,#7eb991ff c,#a5ceb2ff d,#318f4fff e,#ecf3faff f,#cbe2d3ff g,#58a470ff ``` ```image aag eaag eaab faab e faab ee faac eee caac eeee caac eeee caaf eeee baaf eeee fgb baaf eeee caaac baae eeee egaaaad gaa eeee fdaaadaac gaa eeee baaadffaad dad eeee egaaage gaaf dad eeee caaaac faag dad eeee ebaaadf gaaf aag eeee fdaaab faag aag eeee caaadf daaf eaag eeee egaaage caag eaab eeee fdaaac daae faab eeee baaadf caab faab eeee fdaaabe daae faac eeee caaaac caab caac eeegaaage edaae caac fdaaab baab caaf baaadf eaaae baaf edaaageee baac baae caaaac eeee eaad baae egaaade eeee baac gaa fdaaab eeee eaad gaa baaadf eeee gaac dad egaaage eeee faad dad caaaac eeee gaac dad ebaaadf eeee faad aag fdaaab eeee gaaf aag caaadf eeee faag eaag egaaage eeee gaaf eaab fdaaac eeee faag faab baaadf eeee daaf faab fdaaabe eeee caag faac aaaac eeee daaf caac aage eeee caab caaf ab eeee daae caaf f eeee caab baaf eeee daae baae eeee baab gaae eeee eaaae gaa eeee baab gaa eeee eaad dad eeee baac dad eeee eaad dad eeee baac aag eeee faad aag eeee gaac eaag eeee faad eaab eeee gaaf faab eeee faag faab eeee gaaf faac eeee faag caac eeee daaf caaf eeee caag caaf eeee daaf baaf eeee caag baae eeee daaegaae eeeecaabgaa eeeedaadaa eeebaaaad eeeaaaad eebaaad eeaaag ebaag eaab fbee eeee eeee eeee eee ee ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0c7b2fff b,#82bb94ff c,#aad1b6ff d,#349151ff e,#edf4fbff f,#d0e5d7ff g,#5ca774ff ``` ```image b ac dd ba ea ae ab da ca a af ag ga ca a ac ag e ga eee fa e ee a e ee ac ee eee ad ee ee ba e ee ea e ee aee eee ab ee dd ee ba ee ea eee ae eaf ee a eab ee a eega ee a e ca ee ea e a ee fa ee af ee ca ee ag ee ca e ga ee ba e fa ee ga ee a ee da e ac ee dd e ad ee ag ee ba ee ab ee fa ee ab e ae ee ac e ab ee af ee dd ee fb af e ba ee gaa a ea ee aafad a ae ee caa fa a ab ee dab ag a da ee eaae ca ea ca ee bad ab fa a ee aac ca ca af caa ab ba ag dage ba ba ga eaaf ee ac ga fa bad ee ga dd a aac ee ac dd ac faa ee ga ag ag gag ee af ab ba aaf ee da ab fa caa ee af ac a dab ee da af ac faae ee eae ae dd gad ee aa a ba aaf ee eae a ea caa ee ad a ae dab eee fa a ab eaae ee ad ea da bad ee fa fa ca aac ee ag ca a faa ee ca ba af dag ee agba ag eaaf eecaga ga bad eeaad ca aac ebad a faa eag adag fe aaf eee e ``` <!-- end of image -->
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This image seems promising for intersection detection. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#31b4dfff b,#3e5f4bff c,#7accdaff d,#698672ff e,#e5f2f0ff f,#95c197ff g,#b1d7b1ff ``` ```image ce eaaa aaaca caae ae caac aa eaaa ca aaae ea caae ac caac aa eaaa ca aaaaaaccee aaae ae caeccaaaaaaaaaaae caac ac aa eeccae caac aa ca aa ca aa ea eae ae aa ac eae aa aa ca ac ea ca ae ac ac ca aa aa ca eae ea aa be ac eae bbd aa aa bdbbe aa ac eb ebbf ca aa gb dbb ae ac gb ebbf ac ca fb dbb aa aa db gbbg gfffffffaaffffffffffffffffffffffffcaf db bbd fgggggggcaggggggggggggggggggggggggaage bb fbbe fggggggggaggggggggggggggggggggggggagge bb bbd fggggggggacggggggggggggggggggggggaagge bb dbbefggggggggaaggggggggggggggggggggggacgge bd ebbdggggggggaagggggggggggggggggggggaaggge bf dbbgggggggcagggggggggggggggggggggacggge bf fbbfggggggacgggggggggggggggggggaagggge bg fgbbbgggggaagggggggggggggggggggaagggge be fggfbbfgggaaggggggggggggggggggcaggggge be fggggbbdggcaggggggggggggggggggaaggggge eb fgggggdbbggagggggggggggggggggcagggggge gb fgggggggbbdacggggggggggggggggaagggggge gb fggggggggdbbaggggggggggggggggacgggggge fb fgggggggggfbbdggggggggggggggaaggggggge db fggggggggggcbbbgggggggggggggacggggggge db fgggggggggggafbbfggggggggggaagggggggge bb fgggggggggggacgbbbgggggggggaagggggggge bb fgggggggggggaaggdbbfggggggcaggggggggge bd fgggggggggggaaggggbbdgggggaaggggggggge bd fgggggggggggcagggggdbbgggcagggggggggge bf fggggggggggggagggggggbbdgaagggggggggge bf fggggggggggggacgggggggdbbaggggggggggge ge fggggggggggggaaggggggggfbbfgggggggggge fggggggggggggaagggggggggabbbggggggggge fggggggggggggcaggggggggaagfbbfggggggge fgggggggggggggaggggggggacgggbbbgggggge fgggggggggggggacggggggcagggggdbbggggge fgggggggggggggaaggggggaagggggggbbdggge fgggggggggggggaagggggcagggggggggdbbgge fgggggggggggggcagggggaaggggggggggfbbde fggggggggggggggaggggcagggggggggggggbbb fggggggggggggggacgggaaggggggggggggggfbbg fggggggggggggggaagggacgggggggggggggggebbd fggggggggggggggcaggaagggggggggggggggge fbbe fggggggggggggggcaggacgggggggggggggggge bbd fgggggggggggggggacaaggggggggggggggggge fbbe fgggggggggggggggaaaaggggggggggggggggfe ebbf eeeeeeeeeeeeeeeaaaeeeeeeeeeeeeeeeeee dbb caa ebbg eae bbb gbbg bbd fbbe bbd dbb ebbf dbf g ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2eb3dfff b,#3f604cff c,#98d9efff d,#6a877bff e,#d3e9efff f,#abbab1ff g,#61c5e6ff ``` ```image gaac caaa caac gaac caag eaaa eaaa gaac aaae eaaae gaac gaag caac eaaae eaag caag eaaa aaac aaae caaa f gaac aaac bde caag caaa bbbf eaag gaac bbbbde aaa eaaae edbbbbf aaae gaag dbbbbd gaac eaaae fbbbbbf caag caag dbbbbd eaaa aaae fbbbbde aaa caag edbbbbf gaae aaac fbbbbde gaac caaa edbbbbf caag gaac fbbbbde eaaa eaaa ebbbbbf aaae gaag dbbbbdgaac eaaae fbbbbbaac gaag edbbbbdg eaaae fbbbbbe caag edbbbbf aaac dbbbbde caaa cabbbbbf aaac caadbbbbd eaaa eaaafbbbbbf gaac aaae dbbbbd eaaae gaac fbbbbde gaag caag edbbbbf eaaae eaag fbbbbde caag aaa edbbbbf aaae aaae fbbbbde caaa gaac ebbbbbf aaac caag dbbbbd caaa eaaa fbbbbbe gaac aaa edbbbbf eaaae gaae fbbbbdegaag gaac edbbbbdaae caag fbbbbbg eaaa edbbbbf aaae cdbbbbde gaae aaabbbbbf caac caaaedbbbbd caag gaac fbbbbbe eaaa eaaa edbbbbf aaae gaac fbbbbde gaac eaaae edbbbbf caac gaag fbbbbde caag eaaae ebbbbbf eaaa caag dbbbbd aaae aaac fbbbbbe gaac caaa edbbbbf caac aaac fbbbbde eaag caaa edbbbb eaaa gaac fbbb aaae eaaae edb gaac gaag f caag eaaae eaag caag aaa aaae aaae caag gaac aaac caag caaa eaaa gaac aaa eaaa gaae gaag gaaceaaae ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2fb3e0ff b,#3e5f4cff c,#96d8efff d,#6f8779ff e,#d0e6ebff f,#a4b3aaff g,#64c6e7ff ``` ```image ce eaaa aaaca gaae ae caag aa eaaa ga aaa ea gaae ac caag aa eaaa ca aaaaaagcee aaae ae gaecgaaaaaaaaaaae gaac ag ag eecgae caag aa ca aa ga aa ea eae ae aa ag ae aa aa ca ac ea ga ac ag ag ca aa aa ca ea a aa be ac eae bbd aa aa bdbbe ga ac eb bbd ca ga eb dbb a ag fb ebbf ac ga fb bbb aa ag db ebbe ga ca db bbd ca aa bb fbbe ae eae bb bbd ac aa bb dbb aa ac bd ebbf ga aa bd dbb ea ac bf ebbf ae ga bf bbb ag ag be fbbe aa ca b bbd ga aa eb fbbeea ea eb bbdae aa fb dbbg ae fb ebbf aa db cbbb ac db eaebbe ga bb ac bbd ag bb ag fbbe ca bd aa bbd aa bd ca dbb ca bf a ebbf aa bf ac dbbae ee aa ebbf ga abbb ca aa fbbe ae ac bbd ac ga fbbe aa ag bbd ga ca dbb ea aa ebbf ae eae dbb ag aa ebbf aa ae bbb ga aa fbbe ea ac bbd aega dbb agag bbf aaa dbb caa ebbf ea bbb fbbe bbd fbbe bbd dbb ebbf dbf e ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d11754ff b,#e8b367ff c,#df91a7ff d,#d45679ff e,#f2cbbeff f,#b0d6b0ff g,#f3f1edff ``` ```image ebg bbbbb gbbbbbbbg ebbbbe ebb bbbbbg bbg gbbbbb ebb ebbbbe bb ebbbbe ebb bbbbbg bb gbbbbb ebb ebbbbe bb bbbbbg ebb gbbbbbg bb e ebbbbe ebb ead ebbbbe bb caa bbbbbg ebb daa gbbbbb ggbbggggggggaaagggggggggg ebbbbe gffbbbfffffffaaaffffffffff ebbbbe gfffbbfffffffaaaffffffffff gbbbbbg gfffbbbffffffaaacfffffffff ebbbbe gffffbbffffffaaadfffffffff ebbbbe gffffbbbfffffaaadffffbbfff bbbbbg gfffffbbfffffaaaafffbbbfff gbbbbb gfffffbbbfffcadaafffbbffff ebbbe gffffffbbfffdadaafffbbffff be gffffffbbbffdacaafffbbffff gfffffffbbffaafaaffbbbffff gfffffffbbbfaafdacfbbfffff gffffffffbbfaafdadfbbfffff gffffffffbbbaafcadfbbfffff gfffffffffbbaaffaabbbfffff gfffffffffbbaaffaabbffffff gffffffffffbadffaabbffffff gffffffffffdadffaabbffffff gffffffffffdadffaabfffffff gffffffffffaabbfaabfffffff daa gffffffffffaabbfdadfffffff daaaac gffffffffffaabbbcadfffffff daaadgaa gffffffffffaafbbbaafffffff daaad aa gffffffffffaafbbbaafffffff daaad aae gffffffffffaaffbbaafffffff caaad eaa gffffffffffaaffbbaafffffff caaaa aa gfffffffffcadfffbaafffffff caaaa aae gfffffffffdadffffaafffffff caaaa cad gfffffffffdacffffdacffffff caaaag aa gfffffffffaafffffcadffffff caaaag aag gfffffffffaaffffffaaffffff caaaag cad gfffffffffaaffffffaaffffff caaaag aa gfffffffffaaffffffaaffffff eaaaag aaggfffffffffaaffffffaaffffff eaaaag cadgfffffffffaaffffffaaffffff eaaaag aa ggggggggeadggggggaaeggggg eaaaae aa cac dac eaaaae dac dac cad eaaaae gaa aag gaa gaaaae aa aa aa gaaaae dac aa aa gaaaae gaa aa aa gaaaac aa aa aa gaaaac aae aa aag gaaaac eaa gaa dac gaaaac aa cad cad daaac aae cac eaa ac cad dae aa aa aag aa aag aa aa cad aa aa aa aa aag aag aa dae cad gaa cac aa ead ead aa cac dacdae gaaaag aaaa daaa gaaa aaa aaa eaa c ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d11653ff b,#e9b163ff c,#edaac0ff d,#e37799ff e,#f8e3d8ff f,#efc68fff g,#da4d70ff ``` ```image fbbbb gaaaad ebbbbe aaaaad fbbbb eaaaaag ebbbbe eaaaaaa fbbbf caaaaaa ebbbbe caaaaaae fbbbf daaaaaac ebbbbe daaaaaac fbbbf gaaaaaad ebbbbe gaaaaaad fee fbbbf aaaaaaag bbbb ebbbbe aaaaaaaa ebbbf fbbbf eaaaaaaaa fbbbf ebbbbe eaaagaaaae fbbbe fbbbf caaaggaaac bbbb ebbbbe caaaddaaac ebbbf fbbbf daaaddaaad fbbbf ebbbbe daaaccaaad fbbbe fbbbf gaaaccaaag bbbb ebbbbe gaaaeeaaag ebbbf fbbbf aaaa aaaa fbbbf ebbbbe eaaaa aaaae bbbbe fbbbf eaaag gaaac bbbb ebbbbe caaag gaaac ebbbf fbbbf caaad daaad fbbbf ebbbbedaaad caaad bbbbe fbbbfdaaac caaag ebbbb ebbbbgaaac eaaag ebbbf fbbbaaaae aaaa fbbbf ebbbaaaae aaaaebbbbe fbbaaaa gaaacbbbb ebbaaaa gaaadbbbf fbaaag daaagbbbe egaaag caaagbbbe gaaag caaagbbb daaage eaaaabbf daaagf eaaaabbe gaaabbe aaaabbe gaaabbf gaaabb aaaabbbe gaaagf eaaaabbbf daaage eaaagbbbbe daaage caaagfbbbf caaag caaadebbbbefaaaa daaad fbbbffaaaa daaac ebbbbbaaaae gaaac bbbbbaaaae gaaae ebbbbgaaac aaaae bbbbgaaac aaaa ebbbgaaad eaaaa bbbgaaag caaag ebbbaaag caaag fbbaaaa caaad aaaa daaad gaaae daaac gaaac gaaac daaac aaaae daaad aaaa caaag eaaaa caaag eaaag eaaaa caaag aaaa caaad gaaae daaad gaaac daaac daaac gaaac daaad gaaae caaad aaaae caaag ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d11653ff b,#eab265ff c,#eb9eb7ff d,#e16c90ff e,#f6d6daff f,#f1ce9dff g,#d83d6dff ``` ```image fb bbbbb ebbbbfbb fbbbbf fbb fbbbbe bb bbbbb fbb ebbbbf bb fbbbbe fbb bbbbb bb ebbbbf fbb fbbbbf bb fbbbbe fbb bbbbb bb c ebbbbf fbb eag fbbbbe bb caa bbbbbe fbb daa ebbbbb bb gaa fbbbbf fbb aaa fbbbbe bb aaa bbbbb fbb aaae ebbbbf bb aaad fbbbbf fbb aaag bb bbbbbe bb eaaaa fbf ebbbbb fbb cadaa bb fbbbf bb dacaa bb be fbf gaeaa bb bb aa aa fbf fbf aa gae bb bb aa dac bb fbfaa cag bb bbaa aafbf fbaa aabb bag aabb dag aabb dad aabf gabf gab gaa aabb dag daaaac aabbfcag daaageaa aa bbbaa daaag aa aa bbbaa daaag gac aa bbaa daaag eaa eag bbaa daaag aa cad baa daaag aae dac gae caaaa cag gae dac caaaa aa aa cad caaaa aae aa eaa caaaa cag aa aa caaaae aa aa aa caaaae aa aa aa caaaae dad aa aa eaaaae aa eag gae eaaaae aa cad dac eaaaae dad dac cad eaaaae aa gae eag eaaaae aa aa aa eaaaac gac aa aa eaaaac eaa aa aa eaaaac aa aa aa aaaac gac aa aae aaaac eaa eag dac aaaac aa cad cad daaac aae dac eag ad cag gae aa aa aa aa aae aa aa cag aa aa aa aa aae aa aa dac dad aa cad aa eag eag aa cad daddac aagae aaaa gaaa eaaa aaa gaa eag c ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#b8c823ff b,#e1efa7ff c,#a7dc01ff d,#f0f7edff e,#bbda5eff f,#b1d7b1ff g,#a2cf9fff ``` ```image dcc eccc cccccd dccecccd ecc bcccb ccc bcccb ccb dcccb ecc dccce ccc ccce ccb ccca ecc cccc ccc cccc cce cccc bcc accc ccc accc cce ecccd bcc ecccd ccc bcccd cce bcccb bccd dcccb ccc dccce cca dccce bccd ccce acc ccca cca cccc dccb cccc acc cccc ccc accc ggggggggggggggggggggggggd dccb eccc gffffffffffffffffffffffgd ecc ecccgffffffffffffffffffffffgd ccc ecccgfffffffffffffffffffffgd dddddddddddddddccbddddd bcccgffffffffffffffffffffgd dggggggggggggggaccggggggd bcccefffffffffffffffffffgd dgfffffffffffffcccfffffgd gccceffffffffffffffffffgd dgfffffffffffffccefffffgd ggcccefffffffffffffffffgd dgffffffffffffeccffffffgd gffcccaffffffffffffffffgd dgffffffffffffcccffffffgd gfffcccafffffffffffffffgd dgffffffffffffcceffffffgd gffffccccfffffffffffeaagd dgfffffffffffeccfffffffgd gfffffccccfffffffgaaaaagd dgfffffffffffcccfffffffgd gffffffccccffffeaaaaaaggd dgfffffffffffccefffffffgd gfffffffccccfaaaaaaefffgd dgffffffffffeccffffffffgd gffffffffacccaaaaefffffgd degfffffffffcccffffffffgd gfffffffeaccccaffffffffgd eaaaaeffffffccaffffffffgd gffffgaaaaaccccffffffffgd aaaaaaaaeffeccfffffffffgd gffeaaaaaagfecccgffffffgd dggaaaaaaaacccfffffffffgd gaaaaaaefffffecccgfffffgd dgffffeaaaacccaefffffffgd baaaaaaeffffffffgccceffffgd dgfffffffeaccaaaaaeffffgd eaaaaaagfffffffffffgcccefffgd dgffffffffccceaaaaaaaaggd daaaaaaeffffffffffffffffccceffgd dgffffffffccafffeaaaaaaaab baaaaaab gfffffffffffffffffcccafgd dgfffffffgccgffffffgaaaaaaaaed eaaaaae gffffffffffffffffffcccagd dgfffffffaccfffffffffffeaaaaaaaab daaaaaab gfffffffffffffffffffcccgd dgfffffffcccfffffffffffgd baaaaaaaaed baaaaaad gffffffffffffffffffffcfgd dgffffffgccgfffffffffffgd deaaaaaaaab eaaaaae gffffffffffffffffffffffgd dgffffffaccffffffffffffgd baaaaaaaaaaab gffffffffffffffffffffffgd dgffffffcccffffffffffffgd baaaaaad gffffffffffffffffffffffgd dgffffffcceffffffffffffgd db gffffffffffffffffffffffgd dgfffffaccfffffffffffffgd ggggggggggggggggggggggggd dgfffffcccfffffffffffffgd dgfffffccefffffffffffffgd dgffffeccffffffffffffffgd dgggggcccgggggggggggggggd dddddcceddddddddddddddd ecc ccc cce bcc ccc cce bcc ccc cce bccd ccc cca bccd acc cca dccb acc bcc ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#b9c520ff b,#d7e787ff c,#a7dc00ff d,#f4f8dfff e,#c9df5dff f,#e5f0b4ff g,#badb35ff ``` ```image fcccccd eccccg cccccb fcccccd eccccg cccccb fcccccd eccccg gccccb fcccccd bccccg gccccb dcccccd bccccg gcccce dcccccf bccccc gcccce dcccccf bccccc gcccce aefd dcccccf faaaagbf fccccc baaaaaaaaefd ecccce gaaaaaaaaaaaebd cccccf aaaaaaaaaaaaaaagbf fccccc fbgaaaaaaaaaaaaaaaefdecccce dbeaaaaaaaaaaaaaaacccccb dfeaaaaaaaaaaaacccccf fbgaaaaaaaccccccaaebd dbeaaaacccccaaaaaagbf feacccccaaaaaaaaaaefd ecccccaaaaaaaaaaaaaebd ccccceeaaaaaaaaaaaaaaagbf fcccccd fbgaaaaaaaaaaaaaaae bccccg dbeaaaaaaaaaaaaa gccccb dfeaaaaaaaaaa dcccccd fbgaaaaaa bccccg dfeaaa gccccb fb dcccccf bccccc gcccce dcccccf bccccc gcccce dcccccf bccccc gcccce dcccccf fccccc ecccce cccccf fcccccd eccccg cccccb fcccccd eccccg cccccb fcccccd ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area A. Alright, let's concentrate on the next area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#b9c521ff b,#d3e37cff c,#a7dc01ff d,#f0f6d4ff e,#c5da51ff f,#e1eda5ff g,#b4e127ff ``` ```image gd cgd ccgd ccccd cccccd ccccccf cccccccf dgccccccf dgccccccb dgccccccb gcccccce ecccccce ecccccce eccccccg bccccccgd dbaf bccccccgd deaaae fccccccgd feaaaaaad fcccccccd dbaaaaaaaaab fcccccccf feaaaaaaaaaaae dcccccccf dbaaaaaaaaaaaabd dcccccccf dbaaaaaaaaaaaef dgccccccb feaaaaaaaaaaaed dgccccccaaaaaaaaaaaabd dgcccccccaaaaaaaef bccccccccaaaabd dbaaaccccccccaf feaaaaaacccccccg dbaaaaaaaaaacccccccg deaaaaaaaaaaaefbccccccgd feaaaaaaaaaaabd bccccccgd dbaaaaaaaaaaaabd fccccccgd feaaaaaaaaaaaef fcccccccd aaaaaaaaaaaabd fcccccccf aaaaaaaaaef dcccccccf aaaaaaaed dgccccccf aaaaabd dgccccccb aaef dgccccccb bd dgcccccce gcccccce ecccccce eccccccg bccccccgd bccccccg bccccce fccce fcg d ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b9c521ff b,#d4e77fff c,#a7dc00ff d,#f0f7d6ff e,#c6de55ff f,#e2eea9ff g,#b5e22aff ``` ```image cc gccc cccccd ccecccd ecc fcccf ccc dcccf ccf dcccb ecc ccce ccc ccce ccb cccg bcc cccg ccc cccc ccb cccc bcc gccc ccc gccc cce eccc fcc bcccd ccc fcccd cce fcccf fcc dcccf ccc dcccb ccg ccce dccd cccg gcc cccg ccg cccc dccd cccc gcc gccc ccc gccc dccf gccc ecc eccc ccc bcccd ccf fcccd ecc fcccf ccc dcccb ccb dcccb bcc ccce ccc cccg ccb cccg eae bcc cccc daaaaa ccc cccc baaaaaad cce gccc eaaaaae bcc gcccaaaaf ed ccc bacccca baaaaf cce daaaaaccccd aaaaaaaab fcc faaaaaad bcccd deaaaaaaaccc eaaaaae fcccd baaaacccaf daaaaaaf dcccf faccaaaaaed baaaaaad dcccb gcceaaaaaaaaf aaaaaab dccce ccg faaaaaaaab faaaaaaf ccce dccd deaaaaaaaed eaaaaae cccg gcc baaaaaaaaf daaaaaab ccc ccg faaaaaaaab baaaaaad c dccf deaaaaaaaaf eaaaaae gcc baaaaaaaaaaaf ccc deaaaaa ccf f ecc ccc ccf ecc ccc ccb bcc ccc ccb bcc ccc cce fcc ccc cce fccd ccc ccg dccd gcc ccg dccd gcc bcc ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b3b454ff b,#cada7fff c,#a39c17ff d,#c3ee3cff e,#e8ecc2ff f,#b1d7b1ff g,#97c994ff ``` ```image e c c bb c c be gggggggggggggggf c fffffffffffffffg c fffffffffffffffg be fffffffffffffffg c fffffffffffffffg c fffffffffffffffg ae fffffffffffffffg c fffcfffffffffffg c fffcfffffffffffg ae fffafffffffffffg a fffafffffffffffg c fffafffffffffffg ae fffcbffffffffffg ea fffaddfffffffffg c fffggfdffffffffg a fffggffddffffffg ea fffggffffdfffffg c fffgafffffddfffg c ffffaffffffbdffg ea ffffaffffffffdbg c ffffafffffffffbd c ffffaffffffffffgde eb ffffcffffffffffg ed c ffffcffffffffffg de c ffffcffffffffffg bd eb ggggcggggggggggf de c c bd b c d b c db c c ed c c db b c ed b c db c c ed c c de b c bd be a de gfffffffffffffcffffffffg a bd gfffffffffffffcffffffffg a de gfffffffffffffaffffffffg b bdgffffffffffffafffffffffg b b dffffffffffffcfffffffffg eb be gdbffffffffffcfffffffffg d ee gfbdfffffffffafffffffffg d ee gfffdbffffffaffffffffffg d ee gffffbdfffffcffffffffffg d eb gffffffdffffcffffffffffg be b gfffffffddffaffffffffffg d b gfffffffffdafffffffffffg d a gffffffffffcbffffffffffg be a gffffffffffcbdfffffffffg d ce gffffffffffaffdbfffffffg d bc gfffffffffaffffddffffffg be aa gfffffffffcffffffdfffffg d cb gfffffffffcfffffffdbfffg d bc gfffffffffaffffffffbdffg be aa gffffffffagffffffffffdbg d cb gffffffffcffffffffffffbd d ece gffffffffcfffffffffffffgdeee ac gffffffffafffffffffffffg dd cb gfffffffagfffffffffffffg ece gfffffffcffffffffffffffg ac c ca a ece be bc c ca c ece a bcb ee acb c aca c aca a bca ee bc ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#b2ac3bff b,#c2be65ff c,#a29a14ff d,#c3ef33ff e,#edf3caff f,#dce69bff g,#d0f260ff ``` ```image cb ab aa aa aa ba ba bc bc bc bc ace bcdf fcgdge fceeddf fce gdge fce fddf ece egdg ecf fdde ecf egdg ecf fdde ecf egdg ecf fdde cf eddf cb gdge cb eddf cb gdg cb ed ab ab aa aa aa ba ba bc bc ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Time for a closer look at another area. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#b9b44eff b,#cfcb85ff c,#a39c17ff d,#c4f035ff e,#f2f6daff f,#e3efaaff g,#d3f369ff ``` ```image aa cb fcf bc aa cb fcf e bce df aa gdge cb fddf fcf eddg bce gdde aa fddf cb egdge fcf fddf bce egdg aa fdde cb eddf fcf gdge bce fddf ac egdge cb fddf fcf eddgbce gdcc fccf ecadge bcefddf ac egdg ca fdde ecf eddf bce gdge ac fddf ca egdge ecf fddf bce eddg ac gdde ca fddf ecb egdge bce fddf ac egdg ca fd ecb e bce ac ca ecb bce ac ca ``` <!-- end of image --> As I suspected, there's 1 intersection within area B. Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b6b147ff b,#c9c477ff c,#a39b15ff d,#c4f036ff e,#f0f3d6ff f,#dfe5a5ff g,#d3f36aff ``` ```image e c c bf c c bf c c bf c c be ea a c a ae a ea b c b ae ae ea fgd c feede ae ff gg ea ef ed c ef dg ae b ed eb b df c b fd c a df fb a fd c a de c c gd fb c de c c gg eb c ede b c gg c c ed c c dg eb c ed b c df c c fd c c df b a fd b a de c a gd c b de b b gg b g b ede c eg fe dg c d fe ed b ge ff df be eg ef fd c d ef de c ge b gg b d b edbe d b cf ge a cfd d cf b de d bc be gg ge aa c ed d ecf c dg d fce b ed ff aa fe df d cb c fd d fce c deff ac a gd cb fe ece c bc c cb a ecf fe bc c ca c ecf a bcb fe eacb c acb c bca a bcaefe bc ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#e964b9ff b,#e911cbff c,#f3abdaff d,#f0f4efff e,#b2d7b2ff f,#c99db6ff g,#a4d0a4ff ``` ```image d aac caaac aaaaad aaaaaa aaaaaaa daaa aaaa caac daaaa aaa caaac aac aaa caaad aaa aaa aaaa aaa caac aaaa aaa aaad aaaa aaa aaa aaaa daaa aaa daaac caac daaa caaac aaad ddcaacddddddd aaaad aaa ggaaagggggggg aaaa aaa eeaaaeeeeeeeg aaaa aaa eeeeeeeeeeeeg aaaa aaa eeeeeeeeeeeeg daaaa daaa eeeeeeeeeeeeg caaac caac eeeeeeeeeeeeg caaad caac eeeeeeeeeeeeg aaaaddddddddddddddddddddddddddddddddddddddddddddddddddddaaaddddd eeeeeeeeeeeeg dgaaaagggggggggggggggggggggggggggggggggggggggggggggggggggaaaggggg eeeeeeeeeeeeg dgeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeee eeefeeeeeeeeg dgeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeee eeabbbfeeeeeg dgeefaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeee eebbbbbbaeeeg dgeeefaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeee eefbbbbbbbbag dgeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaafeeeee eeeeeabbbbbbbbc dgeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaafeeeee eeeeeeeeabbbbbbbbc dgeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeeeeeeeeebbbbbbbba dgeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeeeeeeeeeegcbbbbbbbbageeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeeeeeeeeeeg cbbbbbbbbfeeeeeefaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeeeeeeeeeeg abbbbbbbbfeeeefaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeeeeeeeeeeg dbbbbbbbbbeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaaeeeeee eeeeeeeeeeeeg dgfbbbbbbbbaeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaafeeeeee eeeeeeeeeeeeg dgeeefbbbbbbbbaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee eeeeeeeeeeeeg dgeeeeeeabbbbbbaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee ggggggggggggg dgeeeeeeeeebbbbbaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee dgeeeeeeeeeeefbbaaaabbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee dgeeeeeeeeeeeeeefaaaabbbbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee dgeeeeeeeeeeeeeeeeaaaabbbbbbfeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee dgeeeeeeeeeeeeeeeeeaaaabbbbbbbbeeeeeeeeeeeeeeeeeeeeeeefaafeeeeeee dgeeeeeeeeeeeeeeeeeeaaaafbbbbbbbbaeeeeeeeeeeeeeeeeeeeefaafeeeeeee dgeeeeeeeeeeeeeeeeeeeaaafeefbbbbbbbbaeeeeeeeeeeeeeeeeeaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeefaaafeeeeabbbbbbbbfeeeeeeeeeeeeeeaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeabbbbbbbbfeeeeeeeeeeeaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeefbbbbbbbbaeeeeeeeeeaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeefbbbbbbbbaeeeeeeaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeabbbbbbbbfeefaaaeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeabbbbbbbbfaafeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeefaaafeeeeeeeeeeeeeeeebbbbbbaaafeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeefaaaeeeeeeeeeeeeeeeeeefbbbaaabbeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeaaaabbbfeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeaaabbbbaeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeaaaebbbbbeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeaaaeebbbbaee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaafeeeeeeeeeeeeeeeefaafeeeabbeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaafeeeeeeeeeeeeeeefaafeeeefeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaafeeeeeeeeeeaaaeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeefaafeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeaaafeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeaaaeeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeaaaeeeeeeeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeaaaeeeeeeeeeee dgggggggggggggggggggggggggggggggggggggggggfaaafggggaaaggggggggggg ddddddddddddddddddddddddddddddddddddddddddcaaacdddaaaddddddddddd aaaa caac aaaa caac aaaaaaad aaaaaa daaaaa caaaa aaaa aac ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#eb63b9ff b,#ea0fccff c,#f6ade6ff d,#fad9f3ff e,#f283dbff f,#ed3bd5ff g,#f05bdbff ``` ```image eaaaaac aaaaaad daaaaaa caaaaae caaaaac dccead gc cbbbgc fbbbbbfed dbbbbbbbbbfed ebbbbbbbbbbbbgc fbbbbbbbbbbbbbbbgc cgbbbbbbbbbbbbbbbbed cfbbbbbbbbbbbbbbb defbbbbbbbbbbbb debbbbbbbbbb cgbbbbbbb cfbbbb defb d ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Right then, let's explore the next spot. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#eb63b9ff b,#ea10ccff c,#f3a1dbff d,#fbe4f4ff e,#ef7eceff f,#ed48d4ff g,#f7c2e8ff ``` ```image deaaaaa aaaaad daaaaae aaaaa aaaaaac daaaae caaaaaag gaaaac eaaaaaad caaaac eaaaaae eaaaag daaaaaae eaaaad daaaaaa aaaaad caaaaaag daaaae eaaaaaad gaaaae eaaaaaad caaaac daaaaaae caaaag daaaaaae eaaaag gaaaaaac eaaaad aaaaaad daaaaa eaaaaaad gaaaae deaaaaae gaaaac eg daaaaaae caaaac bbfd gaaaaaac caaaag bbbbbbbf caaaaaa aaaaad bbbbbbbbbeg eaaaaad aaaaa bbbbbbbbbbbbed aaaaaed daaaae fbbbbbbbbbbbbbcd aaaaaae gaaaae debbbbbbbbbbbbbfc daaaaaac gaaaac gebbbbbbbbbbbbbbe gaaaaaac caaaac cfbbbbbbbbbbbbbaaaaaaad eaaaad defbbbbbbbbbbbaaaaaaa aaaaa gbbbbbbbbbbbaaaaaa daaaaa gfbbbbbbbbaaaaaae daaaaa dcfbbbbbbaaaaaafcd gaaaaa gebbbfaaaaaabbbfg caaaaa fbbaaaaaaabbbbbeg eaaaaa dcfaaaaaaabbbbbbcd aaaaaa gaaaaaabbbbbbbbfcd aaaaaa daaaaafbbbbbbbbbbf aaaaaa aaaaaafbbbbbbbbbbbeg aaaaae eaaaaaaefbbbbbbbbbbbbfcd aaaaac eaaaaaadgbbbbbbbbbbbbbbfg aaaaag daaaaaae gfbbbbbbbbbbbbbbg aaaaad daaaaaac cfbbbbbbbbbbbbfed aaaaad gaaaaaa cfbbbbbbbbbbbbbfd daaaaa aaaaaag debbbbbbbbbbbbbfc daaaae eaaaaaad cfbbbbbbbbbbbbbed caaaac deaaaaae dcbbbbbbbbbbbbbfcd caaaag daaaaaae debbbbbbbbbbbbbbf eaaaag gaaaaaac gebbbbbbbbbbbbbeg eaaaad gaaaaaag cfbbbbbbbbbbbbbbe aaaaa aaaaaad dfbbbbbbbbbbbbbfc gaaaae eaaaaaed gebbbbbbbbbbbbbbg gaaaac daaaaaae gfbbbbbbbbbbbbbecaaaac daaaaaac cfbbbbbbbbbbbbfaaaag gaaaaaac defbbbbbbbbbaaaaag caaaaaag ebbbbbbbbaaaaabfg eaaaaad dcbbbaaaaabbbbd daaaaae dcfaaaaabbbbbg aaaaaae gaaaafbbbbbbc gaaaaaac caaaafbbbbbbbe gaaaaaag eaaaagebbbbbbbf eaaaaaad aaaaad gbbbbbbbg eaaaaae daaaaa fbbbbbbf daaaaaa daaaae dfbbbbf aaaaaac gaaaae ebbbd gaaaaaag caaaac ebb caaaaaag caaaag cg eaaaaaad aaaaad daaaaaae aaaaa daaaaaa daaaaa gaaaaac gaaaae aaaaaag gaaaac eaaaaaad eaaaag deaaaaae eaaaad daaaaaae aaaaad gaaaaaac aaaaa gaaaaaa aaaaa aaaaaag aaaaa eaaaaaed aaaaa daaaaaae aaaaa daaaaaac aaaaa gaaaaaac aaaaa caaaaaag daaaaa aaaaaad gaaaac aaaaaae caaaac daaaaaae caaaag ``` <!-- end of image --> Aha! I've found 2 intersections inside area B! Answer: A: 0; B: 2; 0 + 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#eb63b9ff b,#ea0fccff c,#f5b1e1ff d,#fad9f0ff e,#f089cdff f,#ec32d0ff g,#f165deff ``` ```image d aae caaac eaaaad aaaaaa aaaaaaa daaa aaaa eaac aaae aaa daaac aae aaa eaaad aaa aaa eaaa aaa caae aaaa aaa aaad aaaa aaa aaa aaaa daae aaa daaae caac daaa caaac eaad eaac eaaad aaa aaa aaaa aaa aaa aaaa aaa aaaa aaa daaae daaa caaac caae eaaad eaac aaaa aaad aaaa aaa aaaa aaa c aaaa aaa fbbfd daaae aaa bbbbbbg caaad daae cbbbbbbbbg eaaa caac ebbbbbbbbc aaaa eaad gbbbbbbbfd aaaa aaa dfbbbbbbbf aaaa aaa cbbbbbbbbg daaae aaa ebbbbbbbbc caaac aaa gbbbbbbbbd eaaad aaa dfbbbbbbbfd aaaa daae cbbbbbbbbg aaaa caac cbbbbbbbbaaaa eaad gbbbbbbaaae aaa fbbbfaaaad aaa dbbfaaafbg aaa caaaabbbbe aaa aaaabbbbbbc daaa aaaabbbbbbbfd caae aaaadfbbbbbbbg eaac daaae cbbbbbbbbe aaa caaac gbbbbbbbbc aaa eaaad gbbbbbbbfd aaa aaaa dfbbbbbbbg aaa aaaa cbbbbbbbbg aaa aaaa ebbbbbbbbc daae daaae gbbbbbbbfeaac caaac dfbbbbbaaad eaaad cbbbaaabbd aaaa eaaabbbc aaaa aaabbbbg aaaa aaa bbbbf aaae aaa fbbbg daaae caae gbf caaad eaac c eaaa aaad aaaa aaa aaaa aaa aaaa aaa daaae aaa caaac daae eaaad caac aaaa eaad aaaa aaa aaaa aaa aaae aaa daaac aaa eaaad aaa eaaa daae aaaa caac aaaaeaad aaaaaa daaaaa caaaa eaaa aad ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#c7dfd9ff b,#e6c1d3ff c,#eff1efff d,#97c5baff e,#d294b2ff f,#b1d7b1ff g,#96c996ff ``` ```image cggggggggggggggggggggggggggggggggggg cfffffffffffffffffffffffffffffffffff cfffffffffffffffffffffffffffffffffff cffffffffffffffffffffffffffffffeffff cfffffffffffffffffffffffffffffeeffff cfffffffffffffffffffffffffffffeeffff cffffffffffffffffffffffffffffeefffff cfffffffffffffffffffffffffffeeffffff cffffffffffffffffffffffffddeeeffffff cffffffffffffffffffffffffddeefffffff cfffffffffffffffffffffffddeeffffffff cfffffffffffffffffffffffdeefffffffff cffffffffffffffffffffffddeefffffffff cffffffffffffffffffffffdeedfffffffff cffffffffffffffffffffffeefdfffffffff cfffffffffffffffffffffeeefdfffffffff cfffffffffffffffffffffeeffddffffffff cffffffffffffffffffffeefffddffffffff ee cfffffffffffffffffffeeefffddffffffff ee cfffffffffffffffffffeedfffddffffffff beee cffffffffffffffffffeedffffddffffffff eeee cfffffffffffffffffeeddffffddffffffff eebeb cffffffffffffffffeeedfffffddffffffff ee ee cffffffffffffffffeeddffffffdffffffff ceb bec cfffffffffffffffeefddffffffddfffffff be ee cffffffffffffffeeeddfffffffddfffffff ee ee ceec cffffffffffffffeefddfffffffddfffffff ee ceb eeeeec cfffffffffffffeefddffffffffddfffffff eb ee eec eeeec cffffffffffffeeffddffffffffddfffffff bec bec cee eeeec cffffffffffffeeffddffffffffddfffffff ee ee ee eeeec cfffffffffffeeffddfffffffffddfffffff ee ee eeb beeebcffffffffffeefffddfffffffffddfffffff ee ee cee beeefffffffffeeeffddfffffffffffdfffffff ceb ee ee beeeeffffffeefffddfffffffffffddffffff be beb eeb ceeeeefffeeffffddfffffffffffddffffff ee ee cee cffeeeeeeeffffddffffffffffffddffffff ee bec ee cfffffeeeeffffddffffffffffffddffffff eb ee eeb cfffffffeffffddfffffffffffffddffffff bec ee cee cffffffffffffddfffffffffffffddffffff ee ceb ee cffffffffffffddfffffffffffffddffffff ee ee eeb cfffffffffffddffffffffffffffddffffff ee bec cee cfffffffffffddfffffffffffffffdffffff ceb ee ee cffffffffffddffffffffffffffffddfffff be ee eeb cccaaaddddddddddddffffffffffffffffddfffff ccceecccccccc cee cee fdddddddddddddddddddgggggggggggggggggddggggg fffeefffffffg ee ee ddaaaccc dd fffeefffffffg beb eeb ddc dd ffffffffffffg eecee dd dd ffffffffffffg beee ddc ad ffffffffffffg eeb cdd adc fffddfffffffg ee dd cda fffddfffffffg cdd da ffffddffffffg dd dd ffffddffffffg cdf dd fffffddfffffg dd dd ffffffddffffg ada dd ffffffddffffg dd dd fffffffddfffg ada ad ffffffffddffg dd adc ffffffffddffg ada cda gggggggggddgf dd da adf fdc ddc dd dd ddc ada dd dd dd cdd cdd fda dd dd cdd cdd dd dda ada dd dd cdd ada ddc dd dd ada add dd ddc fdc dd dd add ddc ddc dd ddddc addd dd c ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#aacfc7ff b,#e6c2d4ff c,#eef2f2ff d,#96c5baff e,#d393b3ff f,#d9eae6ff g,#c2ddd7ff ``` ```image ceeeb beeec beee eeee eeeb bbeb ga caddg cddddc gddda adddf cddddc gddda adddf fddddc gddda ddddf fdddd gdddg cddddf fddda adddg cddddc fddda adddg cddddc ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Now, let's dive into another area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5d5cdff b,#dcacc4ff c,#edeeefff d,#97c5baff e,#d292b2ff f,#e9cad9ff g,#d0e4e0ff ``` ```image f beec feeee ceeeef beeeb feeee ceeeec beeef feeeb ceeeec gac eeeef gdda beeeb ddddfeeee gddddeeeec adddeeeef cdddeeeeb adddeeeec dddeeeef gddeeeee addeeeea cddeeeedd adeeeeedd deeeeedddc gdeeeegdddc aeeeefcdddg ceeeeb cdddg aeeeec dddg ceeeef ddda beeeb ddda feeeec addd ceeeea addd beeeeg gdddc feeeed gdddc ceeeedg cdddg eeeeddc cdddg beeeeda ddda feeeeddg ddda ceeeeddd adda beeeeddg addd feeeedddc addd ceeeeddda gdddc eeeebdddg gdddc beeebdddd cdddg feeeegddda cdddg ceeeefadddc ddda beeebcddda ddda feeeb gdddg adda ceeeec dddd addd eeeef cddda addd beeeb adddc gdddc feeeec ddda gdddc ceeeef gdddg cdddg beeeb dddd cdddg feeee cddda ddda ceeeec adddc ddda beeef ddda addd feeeb gdddg addd ceeeec dddd gddd eeeef cddda gdddc ef beeeb adddc gdddc eeef feeee ddda cdddg eeeeef ceeeec gdddg cdddg eeeeeeef beeef addd ddda cfeeeeeeefc feeeb cddda ddda feeeeeeefc ceeeec adddc addd feeeeeeebceeeef dddd addd feeeeeeeeeeb gdddg gddd feeeeeeeec addd gdddc feeeeef cddda cdddg fbef adddc cdddg dddd dddg gdddg ddda addd ddda cddda addd adddc addd dddd gdddc gdddg gdddc adddc cdddg cddda cdddg adddc ddda cccccggggdddd ddda aaaaaaddddddddddddddddddg adda ``` <!-- end of image --> Aha! I've found 2 intersections inside area B! Answer: A: 0; B: 2; 0 + 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b2d4ccff b,#ddadc5ff c,#ecedeeff d,#97c5baff e,#d392b2ff f,#eaccdbff g,#cde2ddff ``` ```image ec eef fee ee eec dabeb gddee ddee deef adee deed geegdc eebcdg cee da eec dd ee bee dd ee ceeg dd feeb eed dd eeee eedd ad eefef feedc ad ee ee eedd gdc cef bec eegdg cdg be ee bebdd da ee ee feec cee dd dd ee ceb eeeeec ee adc dd eb ee eef eeeec eef dd dd fec fef cee beeec fee cda dd ee ee ee beeef ee dd ad ee ee eef beeef eec dd gd ee eb cee beeef beb adc cdc cef ee ee beeef cee dd dg be fef eef feeef ee cda da ee ee cee feeebeef dd dd ee bec ee feeee dd dd eb ee bef fe adc dd fec ee cee dd dd ee ceb ee cda ad ee ee bef dd gdc eb fef cee dd cdg cef ee ee gdc dg be ee bef cccgggaaaddddddddd da ee eb cee adddddddddddddddddddg dd ee ee ee ddgggccc dd eb fef bef adc dd eecee dd dd beee ddc ad eef dd gdc cdg ee dd cdg dd cdd da cdd dd da ddg cda dd dd dd dd cdd gda dd ddc dd dd dd gdg ad gda dd gdc ddc adg cdg dd dd dg gda adc ddc dd dd ddc ada dd dd dd dd cdd adg dd dd cda cdd dd adg gda dd dd cdd gdg ddg dd dd adg gdd dd ddc adc dd dd gda ddc ddc dd ddddc gddd dd c ``` <!-- end of image -->
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This image seems promising for intersection detection. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#92517eff b,#25d4fcff c,#b1d7b2ff d,#cce1edff e,#a68e9dff f,#69d4dcff g,#97c897ff ``` ```image bf dbbf dbbb dbbb dbbb dbbb dbbb dbbb dbbb bbb bbb aac bbb aaad bbb aaaad bbb aaeaad bbb aa aaad bbb aa aaad bbb cgggggggggggaagggaaaggggggggggggggggggggggggggggg bbb gcccccccccccaaccccaaacccccccccccccccccccccccccccc bbb gcccccccccccaacccccaaaccccccccccccccccccccccccccc bbb gccccccccccgaaccccccaaacccccccccccccccccccccccccc bbb gcccccccccceaacccccccaaaccccccccccccccccccccccccc bbb gcccccccccceaaccccccccaaacccccccccccccccccccccccc bbf gcccccccccceaacccccccccaaaccccccccccccccccccccccc dbb gccccccccccaaebcccccccccaaacccccccccccccccccccccc bbb gccccccccccaabbbcccccccccaaaccccccccccccccccccccc bbf gccccccccccaabbbfcccccccccaaacccccccccccccccccccc dbb gccccccccccafbbbbccccccccccaaaccccccccccccccccccc bbb gccccccccccabbfbbbccccccccccaaacccccccccccccccccc bbd gccccccccccabbccbbfccccccccccaaaccccccccccccccccc fbb gccccccccccbbbccfbbcccccccccccaaacccccccccccccccc bbb gccccccccccbbccccbbbcccccccccccaaaccccccccccccccc bbd gcccccccccfbbcccccbbfcccccccccccaaacccccccccccccc fbb gcccccccccbbfcccccfbbccccccccccccaacccccccccccccc bbf gcccccccccbbaccccccbbbcccccccccccaacccccccccccccc dbb gccccccccfbbacccccccbbfccccccccccaagccccccccfcccc bbb gccccccccbbaacccccccfbbccccccccccaaecccccccfbbccc bbf gccccccccbbaaccccccccbbbcccccccccaaecccccccbbfccc dbb gcccccccbbfaacccccccccbbcccccccccaaecccccccbbcccc bbb gcccccccbbeaacccccccccbbbccccccccaaeccccccfbbcccc bbdgccccccfbbaaeccccccccccbbbccccccceaaccccccbbfcccc fbbgccccccbbfaaecccccccccccbbccccccceaaccccccbbccccc bbbccccccbbcaaecccccccccccbbbcccccceaacccccfbbccccc bbcccccbbbcaagccccccccccccbbfccccceaacccccbbfccccc fbbccccbbccaacccccccccccccfbbcccccgaacccccbbcccccc bbbccfbbccaaccccccccccccccbbbcccccaaccccfbbcccccc gbbccbbfccaacccccccccccccccbbfccccaaccccbbfcccccc gbbbcbbcccaacccccccccccccccfbbccccaaccccbbccccccc gcbbbbbcccaaccccccccccccccccbbbcccaacccfbbccccccc gcfbbbfcccaacccccccccccccccccbbfccaaaccbbfccccccc gccbbbccccaacccccccccccccccccfbbcccaaecbbcccccccc gcccbfcccgaaccccccccccccccccccbbbcceaafbbcccccccc gcccccccceaacccccccccccccccccccbbfccaabbfcccccccc gcccccccceaacccccccccccccccccccfbbcccabbccccccccc gcccccccceaaccccccccccccccccccccbbbccfbbccccccccc gcccccccceaecccccccccccccccccccccbbfcbbeacccccccc gccccccccaaecccccccccccccccccccccfbbcbbaaaccccccc gccccccccaaeccccccccccccccccccccccbbbbbgaagcccccc gccccccccaaecccccccccccccccccccccccbbbfcaaacccccc gccccccccaagcccccccccccccccccccccccbbbcccaaaccccc gccccccccaacccccccccccccccccccccccccbbccccaaecccc gccccccccaaccccccccccccccccccccccccccccccceaacccc gccccccccaaccccccccccccccccccccccccccccccccaaaccc gccccccccaacccccccccccccccccccccccccccccccccagccc gccccccccaacccccccccccccccccccccccccccccccccccccc gccccccccaacccccccccccccccccccccccccccccccccccccc cgggggeaaaagggggggggggggggggggggggggggggggggggggg caaaaaac eaaaaaae eaaaaaae daaaaaaac daaaaaaad caaaaaaed eaaaaaae eaaaaaae deaaaaaac daaaaaaad caaaaaaed eaaaaaae eaaaaaae caaaac ad ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#92507eff b,#24d3fcff c,#d2b7caff d,#96e9fdff e,#aa81a3ff f,#53d7f8ff g,#e0edf5ff ``` ```image aaaac gaaaaaag aaaac gaaaaaag aaaac gaaaaaag aaaac gaaaaaag gaaaac gaaaaaeg gaaaag caaaaae caaaag caaaaae caaaag caaaaae caaaa caaaaae caaaa caaaaae caaaa caaaaae eaaae caaaaae eaaae caaaaae eaaae g caaaaae eaaaebbf caaaaae eaaafbbbf caaaaae aaaabbbbbg caaaaae aaafbbbbbb eaaaaac aaabbbbbbbd eaaaaac gaaebbbbbbbbg eaaaaac gaafbbbbbbbbf eaaaaac gaabbbbffbbbbd eaaaaac caebbbbggbbbbbg eaaaaac cabbbbb dbbbbf eaaaaac cabbbbd fbbbbd eaaaaac cfbbbbg gbbbbbg eaaaaac cbbbbf dbbbbf eaaaaac ebbbbd fbbbbd eaaaaac fbbbb gbbbbbg eaaaaac gbbbbf dbbbbf geaaaaag dbbbbe fbbbbd gaaaaaag fbbbbe gbbbbbg gaaaaae gbbbbec dbbbbf gaaaaa dbbbbac fbbbbd caaaag bbbbfac gbbbbb caaaag dbbbbeac dbbbbf gaaaag fbbbbaag bbbbbg gaaaag fdg gbbbbfaag dbbbbb gaaaac gbbbbg dbbbbaaag fbbbbd aaaac dbbbbg fbbbbaaa gbbbbbg aaaac fbbbf gbbbbeaaa dbbbbf aaaac gbbbbd dbbbbaaaa fbbbbd aaaac dbbbbg bbbbfaaaa gbbbbbg aaaac fbbbf dbbbbeaaae dbbbbf eaaae gbbbbd fbbbbeaaae fbbbbd eaaae dbbbbg gbbbbdeaaae gbbbbbg eaaae fbbbf dbbbbgeaaae dbbbbf eaaae gbbbbd fbbbf aaaac fbbbbd eaaae dbbbbg gbbbbd aaaac gbbbbbg eaaae fbbbf d fbbbbg aaaac dbbbbf caaaa gbbbbd b bbbbf aaaac fbbbbd caaaa dbbbbg bd dbbbbd gaaaac gbbbbbg caaaa fbbbf bbg fbbbb gaaaag dbbbbf caaaa gbbbbd bbf gbbbbd gaaaag fbbbbd caaaag dbbbbg bbbd dbbbbg caaaag gbbbbb caaaag fbbbf bbbbg bbbbf caaaa dbbbbf gaaaag gbbbbd bbbbf gbbbbd caaaa bbbbbg gaaaag dbbbbg fbbbbd fbbbb caaaa dbbbbb gaaaac fbbbf gbbbbbg bbbbf eaaaa fbbbbd aaaac gbbbbd dbbbbf dbbbbg eaaae gbbbbbg aaaac dbbbbg fbbbbd fbbbb eaaae dbbbbf aaaac fbbbf gbbbbbgbbbbd eaaae fbbbbd aaaac gbbbbd dbbbbbbbbbg eaaae gbbbbbg aaaae dbbbbg bbbbbbbbf aaaac dbbbbf eaaaac fbbbf dbbbbbbbd aaaac fbbbbd caaaaag gbbbbd fbbbbbb aaaac gbbbbbg eaaaae dbbbbg gbbbbbf aaaac dbbbbf aaaaac fbbbf dbbbbg gaaaac fbbbbd caaaaaggbbbbd fbbf gaaaag gbbbbbg eaaaaedbbbbg gg caaaag dbbbbf eaaaabbbbf caaaag fbbbbd gaaaabbbbd caaaa gbbbbbg caafbbbbg caaaa dbbbbf eabbbbf caaaa fbbbbd gebbbbd eaaae gbbbbb fbbbbag eaaae dbbbbf fbbbfae eaaae bbbbbg gbbbbeaac eaaae dbbbbf dbbbbaaaag eaaae fbbbbd bbbbfaaaae aaaac gbbbbbdbbbbdeaaaac aaaac dbbbbbbbbbggaaaaag aaaac fbbbbbbbf caaaaa gaaaac gbbbbbbbd eaaaae gaaaac dbbbbbbg gaaaaac gaaaag fbbbbf caaaaag caaaag gbbbbd eaaaae caaaa dbbf aaaaac caaaa gg caaaaag caaaa eaaaae caaaa eaaaac eaaae gaaaaag eaaae caaaac eaaae eaag eaaae ge eaaae aaaac aaaac ceaaaac ``` <!-- end of image --> The close-up clearly shows 2 intersections point in area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#92507eff b,#24d4fcff c,#d2b8caff d,#96eafdff e,#ac83a4ff f,#57dafaff g,#deecf4ff ``` ```image g gbf dbbf dbbf dbbf dbbb gbbb gbbb gbbb gbbb gbbb gbbb aac bbb aaac bbb aaaac bbb aaeaac bbb aa aaag bbb aa aaag bbb aa aaag bbb aa aaag bbb gaa aaag bbb caa aaa bbbg caa aaa bbb caa aaa bbf eae aaa gbb eaeb aaa bbb aabbb aaa bbd aabbbd aaa dbb afbbbb aaa bbb abbgbbb aaa bbd abb bbd aaa dbb bbf dbb aaa bbf bb bbb aaa gbbg dbb bbd gaaa fbb bbe dbb gaa bbf bba bbb aag gbb fbba bbg aag d bbb bbaa fbb aac dbb bbd gbbaa bbf aac bbd dbb bbfaa gbbg aac bb bbb bbeae fbb eae dbb bbd dbbeae bbf eae bbd dbb bbdaac gbbg eae bb bbb bb aac fbb caa dbb bbg fbb aag bbf caa bbd fbb bbg aag gbb caa bb bbf gbb aa bbb gaa dbb gbbg bbf aa bbd aa bbd fbb bb aa dbb aa bb bbbbb aa bbb aa dbb dbbbd aa bbd aaa bbd bbb aa dbb aac bb bf gaa bbb eaadbb caa bbd aabbd caa dbb abb eae bbb fbbg eae bbg bbea eae fbb bbaae aac bbbbbgaag aac gbbbd eaa aag fbb aaa aa bf aac aa eaa aa aaa aa ag aa aa caaaa caaaaaac eaaaaaae geaaaaaac geaaaaaac caaaaaaac caaaaaaeg eaaaaaae eaaaaaac geaaaaaac caaaaaaac caaaaaaeg caaaaaae eaaaaaae caaaac ac ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#fac340ff b,#e44c13ff c,#fbddb3ff d,#e9c57cff e,#e08354ff f,#f3f5ecff g,#b0d6afff ``` ```image fffffffffffffffffffffffffffffffffffff e gggggggggggggggggggggggggggggggggggggf bbe gggggggggggggggggggggggggggggggggggggf fbbe gggggggggggggggggggggggggggggggggggggf fbbe gggggggggggggggggggggggggggggggggggggf fbbdgggggggggggggggggggggggggggggggggggggf fcc cbbeggggggggggggggggaagggggggggggggggggf fcdeebbbbbbbbbbb ebbdgggggggggggggaaadggggggggggggggggf ebbbbbbeedcf ggebbgggggggggggadgdaggggggggggggggggf fbbf ggggebbggggggggadgggaggggggggggggggggf cb ggggggebbgggggadggggdagggggggggggggggf db ggggggggebbgdadggggggagggggggggggggggf eb ggggggggggbeaggggggggaaggggggggggggggf ee ggggggggggdabbbgggggggaggggggggggggggf be gggggggggdagggbbegggggadgggggggggggggf bd ggggggggaaggggggbbeggggagggggggggggggf bc gggggggaagggggggggbbeggadggggggggggggf bc ggggggaagggggggggggdbbedaggggggggggggf bf gggggaaggggggggggggggdbbaggggggggggggf b ggggaagggggggggggggggggeeagggggggggggf b gggaaggggggggggggggggggggabbgggggggggf b ggaagggggggggggggggggggggaaebbgggggggf b gaagggggggggggggggggggggggaggebbgggggf b fadggggggggggggggggggggggggadgggbbbgggf fb fadggggggggggggggggggggggggggagggggbbegf cb cacgggggggggggggggggggggggggggadggggggbbe db cac gggggggggggggggggggggggggggdaggggggggbbe db caf ggggggggggggggggggggggggggggadgggggggfcbbd ee daf ggggggggggggggggggggggggggggdagggggggf cbbd ee daf gggggggggggggggggggggggggggggagggggggf cbbc bd aa gggggggggggggggggggggggggggggdaggggggf dbbd bd aa ggggggggggggggggggggggggggggggaggggggf dbbbc d ffffffffffffffffffffffffffffffaafffff cbf fa ad fa ac ca af da a aa a ad fa ac ca ac ca af da a ad fa ac f ca aa ac caad ca acfa af aa ad da ca fa a ac ad aa aa fa a ca aa ad ac a fa aa ac ac ca ac ca ac ad af aa dd da fa da af ac da da aa ca a fa ca ad ac ca fa aa fa acfa fa caac a aa a f a a a a ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#fac23eff b,#e54b12ff c,#fad9aaff d,#f1a588ff e,#eb7746ff f,#fcecd6ff g,#fbd171ff ``` ```image ff d gaa bbd gaaac bbbec gaaaaa cebbbec gaagcaac dbbbbec gaag aag dbbbbef gaag caaf dbbbbef faaag aag dbbbbef faaac caaf fdbbbbdf faaac faag febbbbdf faaac gaa febbbbd faaac faac febbbbd caaaf gaa cebbbbgaaaf faac cebeaaaf aag gaaabec caaf gaaaebbbec aag gaagf dbbbbef caaf gaag dbbbbef faag gaag dbbbbef gaa gaag fdbbbbdf faac gaag febbbbd gaa faaag febbbbd faac faaac febbbbd gaa faaac cebbbbd caaf faaac cebbbecaag faaac cebbbeaaf caaaf dbbbaag caaaf dbeaaef caaaf daaebef caaaf gaabbbef gaaaf faaabbbbdf gaagf gaafebbbbd gaag caac febbbbd gaag aag febbbbd gaag caaf cebbbbd aag aag cebbbec ag caaf cebbbec c faag dbbbbec gaa dbbbbe faac dbbb gaa fdb faac f aaa caaf aag caaf aag gaaf faac gaa faac gaa ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fac33eff b,#e54b11ff c,#fad9abff d,#f1a589ff e,#eb7849ff f,#fcedd7ff g,#fbd270ff ``` ```image e bbe bbe fbbd fbbd f fc cbbd aa fcddebbbbbbbbbbb cbbc agac ebbbbbbeddcf dbbf ag ca fbbf dbbf fac af cb ebbf fac ga db ebb caf a db eeaf ag ee gaebe a ee ga bbe ag bd ga fbbd fa bc aa fbbd ac bc aa cbbdca bf aa cbbaf b aa deaf b aa abbf b ag gaebbf b ag a ebb b fag ag ebe fb fac fa bbe cb fac ac bbe db caf fa fbbd db caf af fbbd ee gaf ca cbbd ee ga af cbbc bd ga ga dbbd bd aa a dbbbc g ag cbf a ag fa ac ca af ga a ga a ag fa ac ca af ca a ga a ag a ac f fa aa ac caag ca affa af aa ag ga fa a a ac ag ag aa a a fa ag ag ac a fa aa ac ac fa ac ca ac ag af aa gg ga fa gg a ac ca ga ga ca a fa ca ag ac fa fa ga fa acfa a faac a aa a f a a a a ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f135eff b,#b1ee40ff c,#7a8781ff d,#b1d7b1ff e,#514671ff f,#96c896ff g,#b3e478ff ``` ```image ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcacddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeaaaddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaaedddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddfaaafddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcaaaddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaaeddgbgddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaacddbbbbddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcaaaddbbbbgdddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeaaadbbbbgdddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaaebbbbbdddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddfaaagbbbbdddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcaacbbbbdddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaebbbbgddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaabbbbgddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcabbbbgddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebbbbbddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcbbbbddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgbbbbddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgbbbbddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddddbbbbcdddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddddbbbbccddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddddbbbbcaddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddddbbbbbaadddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddddgbbbbaaeddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddddddddddddddddgbbbbaaafdddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddddbbbbcaaadddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddddbbbbgaaaeddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddddbbbbgdaaacdddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddbbbbbdcaaadddddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddgbbbbddeaaaddddddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddgbbbbdddaaaedddddddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddgbbbbdddfaaafddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddddbbbbgdddcaaaddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddddbbbbgddddaaaedddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddddbbbbgdddddaaacddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddddgbbbbdddddcaaaddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddddgbbbbddddddeaaadddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddddddgbbbbdddddddaaaeddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddddddddbbbbgddddddfaaafdddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddddddbbbbgdddddddcaaadddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddddbbbgddddddddaaaeddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddddbbbdddddddddaaacdddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddddbbddddddddcaaafddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddgbbdddddddeaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddbbgddddddaaaedddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddddbbdddddfaaafddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddgbbddddcaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddddbbddddaaaedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddgbbdddaaacddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddbbgdcaaafdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddddbbdeaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddgbbaaaeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddbbeaafdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddddddbbaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddddbbbeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddddcabbcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddaacbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddcaaabbgddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddaaaadbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddeaaacdbbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddfaaaadddbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddcaafdddgbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddedddddbbgddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddddbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddbbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddddbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddgbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddbbgddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf dddddddbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ddddddgbbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ffffffbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd bb bbg bb gbb bbd bb bbg bb dbb gd ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#30135fff b,#b1ee40ff c,#998daeff d,#e5f9bfff e,#66587bff f,#cdc6d8ff g,#c7f277ff ``` ```image fe caaa eaaaa caaaa aaaac aaaae caaaa faaaaf bbd caaaae dgbbb eaaaa gbbbbbd caaaa bbbbbb aaaafdbbbbbg aaaaegbbbbbd eaaaagbbbbbd faaaabbbbbg caaaebbbbbg faaabbbbbbd aaabbbbbbd faebbbbbd aebbbbb ebbbbbgd cbbbbbd bbbbbbd bbbbbb dbbbbbbd dbbbbbef gbbbbbe bbbbbeaf dbbbbbbae gbbbbbeaa bbbbbbaaae bbbbbeaaac dbbbbbeaaae gbbbbgcaaaa bbbbbbfaaaaf gbbbbbg aaaae bbbbbbd eaaaa dgbbbbgd faaae bbbbbd aaaaf dbbbbb aaaae bbbbbg eaaaa dbbbbbg faaaa gbbbbbd caaaac bbbbbb faaaae bbbbbg aaaae dbbbbbd faaaaf gbbbbbd faaaa bbbbbb eaaaf dbbbbbg caaaa gbbbbbd eaaaac gbbbbb faaaae bbbbbd aaaac bbbbb aaaaef bbbbd caaaa dbbd feaaaf gbb aaaae dbbb eaaaa bbbg caaaae bbb aaaac dbbd aaaae gbb caaaa dbbb faaaaf bbbg aaaae bbb eaaaa bbg faaae gbb aaaaf dbbbfaaaae bbbbaaaa bbbaaa dbbeaac bbbae cbbbe eaabbg aaaebbd aaaaebbd feaaaagbb faaaaaf bbb aaaaa dbbd feaaaaf gbb faaef dbbb ea gbbb bbb bbg gbb bbb bbbg bbb bbg bbb dbbb bbbg ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#30135fff b,#b1ee40ff c,#9b8fafff d,#e4f9bcff e,#65567dff f,#ccc5d8ff g,#c9f37bff ``` ```image fac eaaa aaae faaaf caaa aaae dbd aaac dbbbb faaa bbbbd eaaa bbbbg aaaegbbbg faaagbbbb caaebbbb aaebbbbd aabbbbd fabbbbg ebbbbg bbbbb gbbbb dbbbbd dbbbbe bbbbec bbbbba gbbbbaa gbbbbaae dbbbbaaaf dbbbbcaaa bbbbdaaae bbbbg aaac gbbbg faaa gbbbb eaaa dbbbb aaae dbbbbd faaaf bbbbd caaa bbbbg aaae bbbbg aaac gbbbb faaa gbbbb eaaa dbbbb aaae dbbbbd faaaf bbbbd caaa bbbg aaae gbb aaac bb faaa dbb eaaa bbg aaae bb faaaf gbb caaa bbd aaae dbb aaac bbg faaa bb eaaa gbbaaae bbeaaf bbaa bbbe fabbc aaebb caaabbd aaaa bb eaaac bbg faaaa bb faaf dbb e bbd bb gbb bb dbb bbg bb gbb bbd dbb bbg bb gbb bbd bb bbg bb dbb gd ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#8466bfff b,#ab91fbff c,#c4b8ebff d,#b1d7b1ff e,#6127b9ff f,#97c59aff g,#eef0f3ff ``` ```image ea ceeg bc aeee bbc eeeeb cbb eegee gbb cee eee bbc aeb eec cbb ee cee gbb ee eea bbc cee geeg bbb eec aee gbb ee eec bbc ee cee bbb cee eea gbb eec eeg bbg ee bee bbb ee eeb gbb bea gee bbg eec aee bbb ee eec cbb gee cee bbg bea eea bbb eec eeg cbb ee aee bbg gbc gee eeb bbc gbb aea gee cbb bbc eeg eee bbg gbb ee eeg bbc gggbbcggggggggceegggggggggggggggggggggbeegggggggggggggggggggg cbb fdddbbddddddddaeaddddddddddddddddddddddeeaddddddddddddddddddfgbb fdddbbddddddddeeddddddddddddddddddddddddeedddddddddddddddddddbbc fddddbbdddddddeeddddddddddddddddddddddddaeedddddddddddddddddbbb fddddbbddddddfeedddddddddddddddddddddddddeefddddddddddddddddbb fddddcbbdddddaeadddddddddddddddddddddddddfeedddddddddddddddbbc fdddddbbdddddeedddddddddddddddddddddddddddeeadddddddddddddbbbg fdddddcbbddddeedddddddddddddddddddddddddddfeedddddddddddddbbdg fddddddbbdddfeeddddddddddddddddddddddddddddeeddddddddddddbbcdg fddddddcbbddeeaddddddddddddddddddddddddddddaeaddddddddddbbbddg fdddddddbbddeeddddddddddddddddddddddddddddddeeddddddddddbbdddg fdddddddcbbdeeddddddddddddddddddddddddddddddeedddddddddbbcdddg fddddddddbbaeeddddddddddddddddddddddddddddddaeedddddddbbbddddg fddddddddcbbeadddddddddddddddddddddddddddddddeedddddddbbdddddg fdddddddddbbeddddddddddddddddddddddddddddddddeefdddddbbddddddg cee fdddddddddbbbddddddddddddddddddddddddddddddddaeeddddbbbddddddg bea fdddddddddabbdddddddddddddddddddddddddddddddddeedddcbbdddddddg aec fdddddddddebbbddddddddddddddddddddddddddddddddeeaddbbddddddddg eeg fdddddddddeebbddddddddddddddddddddddddddddddddfeedbbbddddddddg ee fdddddddddeebbbddddddddddddddddddddddddddddddddeecbbdddddddddg ee fddddddddaeadbbddddddddddddddddddddddddddddddddeebbddddddddddg ee fddddddddeefdbbbddddddddddddddddddddddddddddddddbbbddddddddddg ee fddddddddeedddbbdddddddddddddddddddddddddddddddcbbdddddddddddg gee fddddddddeedddbbcddddddddddddddddddddddddddddddbbeaddddddddddg cea fdddddddaeaddddbbdddddddddddddddddddddddddddddbbbeeddddddddddg aeb fdddddddeefddddbbcdddddddddddddddddddddddddddcbbdeefdddddddddg aec fdddddddeeddddddbbdddddddddddddddddddddddddddbbddaeedddddddddg eeg fdddddddeeddddddbbcdddddddddddddddddddddddddbbcdddeedddddddddg ee fddddddaeadddddddbbddddddddddddddddddddddddbbbddddeefddddddddg ee fddddddeeddddddddbbcdddddddddddddddddddddddbbdddddfeeddddddddg ee fddddddeedddddddddbbddddddddddddddddddddddbbcddddddeeddddddddg ee fdddddfeedddddddddbbcddddddddddddddddddddbbbdddddddeeadddddddg cee fdddddaeaddddddddddbbddddddddddddddddddddbbddddddddfeedddddddg bea fdddddeedddddddddddbbdddddddddddddddddddbbcdddddddddeedddddddg aeb fdddddeeddddddddddddbbdddddddddddddddddbbbddddddddddaeaddddddg eec fddddfeeddddddddddddbbdddddddddddddddddbbddddddddddddeeddddddg ee fddddaeadddddddddddddbbdddddddddddddddbbcddddddddddddeeddddddg ee dffffeeffffffffffffffbbffffffffffffffbbbfffffffffffffaeefffffg ee ee cbb gbb ee ee cee bbg bbg eec gee aeb cbb bbb cee cee ee bbg gbb ee bea ee cbb bbg eec aec cee bb bbb cee eeg eec cbb cbb ee ggccbbaaeeeeeeeee ee bb bbg aeeeeeeeeeeeeeeeeeeeeee ee cbb bbb geeeeeeeeaabbccgg cea bb cbb eec cbb bbg ee bbbbc ee cbbb bea bb gg ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8153c9ff b,#ab90feff c,#d5c7f8ff d,#a483d8ff e,#6026b9ff f,#bea9f5ff g,#eae4fcff ``` ```image fbbbf feee aeeeeg gbbbbg aeee ceeeed fbbbf eeee deeeec gbbbbg ceeee geeeea fbbbf feeea feeeed gbbbbg aeeed aeeeeg fbbbf eeeec geeeea c bbbbf deeea aeeeg fb cbbbbg aeeed ceeed cbb bbbbf eeeec deeeg gbbb cbbbbg ceeee geeed fbbb bbbbf deeea deea cbbbb cbbbbg aeeed ceeec gbbbbf bbbbc eeeec aeed fbbbbg cbbbbg ceeee deee bbbbc bbbbc deeea geeec gbbbf cbbbb aeeed eeed fbbbg bbbb geeeec eeee cbbbc cbbb feeee eeeef gbbbf bbbc deeea aeeea bbbbg gbbbcgeeeeg eeeef gbbbb cbbbfeeee deeea bbbbb gbbbdeeed ceeeeg fbbbbg fbbbeeef aeeed gbbbbf gbbbaeeg deeea bbbbb bbbbea geeeec fbbbbg bbbbad aeeed cbbbbc fbbbbf feeee bbbbb cbbbbc geeeef fbbbbg fdbbbf aeeea cbbbbc aabbbbg feeeeg gbbbbb eedbbbf eeeef fbbbbg eeabbbbg deeea cbbbbc eeedbbbbg eeeed bbbbg eeecfbbbf deeeacbbbc ceee gbbbbg ceeeebbbf deea fbbbf aeebbbbg aeed cbbbbg deabbbc eeec bbbbf gabbbf ceee cbbbbg bbbbg deea bbbbf cbbbb aeed cbbbb gbbbbdf eeec bbbb bbbbbea ceee cbbbg cbbbbaeeg deea bbbc gbbbbfeeef aeef cbbbg bbbbb deea geeec bbbc fbbbbg ceeeg deee bbbc bbbbb deee aeee cbbb fbbbbg geeec geeee bbbc gbbbbf eeed feeee bbbb bbbbb eeee deeed bbbbc bbbbg eeeef aeeef cbbbb cbbbc aeeea geeeeg gbbbbc gbbbb feeeeg feeea fbbbb fbbbg eeeef deeed gbbbbc cbbbc deeea eeeef fbbbb gbbbf ceeeeg geeeeg gbbbbc fbbbg eeeed feeea fbbbb cbbbb deeea aeeed gbbbbc gbbbbf geeeec ceeeeg gbbbbg cbbbbc feeee deeea fbbbf gbbbbf geeeec aeeed gbbbbg fbbbbg aeeed eeeec fbbbf cbbbbc feeee ceeee gbbbbg gbbbbf eeeef deeea fbbbf bbbbbg deeea aeeed gbbbbg cbbbbc ceeeeg ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7d4dc5ff b,#ac91feff c,#cdbcf7ff d,#9973d2ff e,#6025b9ff f,#b79cdfff g,#e7e0faff ``` ```image ed geeg bc aeee bbc eeeef cbb eegee bb cee aee bbc aef eec cbb ee fee gbb ee eed bbc cee ee bbb aef dee gbb ee eef bbc ee cee bbb fea eea gbb eec eeg bbg ee fee bbb ee eed gbb fea gee bbg eec aee bbb ee eec gbb ee cee bbg ded eea bbb eeg eeg cbb ee dee bbg gbc gee eef bbc gbb ded gee cbb bbg eeg aea bb gbb ee eeg bbc bbg gee fee cbb gbb ded eed bb bbg eeg gee bbc gbb ee aee cbb bbg cee eec gbb gbb aef cee bbc bbg ee eef bbb cbb ee gee gbb bb cee ee bbc cbb aef aed bbb bb ee ee gbb cbb ee eeg bbg bbfee dea bbb cbbef ee gbb bbe eec bbg cea cbb fee bbb fed fbb ee gbb aef edbb eef bbg eeg eebb cee bbb ee eebbc eecbb ee fea bb aebbg ee eec bbc gbbc ee ee bb cbb gee ee bbc bbea fea ded bb bbcee ded eeg bbc cbb eeg aec ee bb bb fea eeg gee bbc bbc ee ee ded bb cbb eec ee eeg bbc gbb cee ee ee gbb bbc ee ee gee bbg bbb aef cee ded gbb gbb gee fed eeg bbg bbc ee def ee gbb bbb aed eec cee bbg gbb ee ee aef gbb bbg eeg ee ee bbg bbb dea ee ee gbb gbb ee ee cee bbg bbg eec gee aef cbb bbb fee cea ee bb gbb ee fed ee cbb bbg eef aef fea bb bbb cee eeg aef cbb cbb ee ggcffddaaeeeeeeee ee bb bbg aeeeeeeeeeeeeeeeeeeeeee ee cbb bbb eeeeeeeaaddffcgg fea bb cbb eec cbb bbg ee bbbbc ee cbbb fea bb gg ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#174ee3ff b,#56334eff c,#5580e0ff d,#94c29cff e,#bcc9f0ff f,#b1d7b1ff g,#867b81ff ``` ```image ae ac ddddddddddddddadddd cae fffffffffffffcaffff aa fffffffffffffaaffff aa fffffffffffffaaffff eae ffffffdbgffffacffff aa ffffffbbbffffadffff aa fffffbbbbfffdafffff eac ffffbbdgbfffcafffff cae fffbbgffbgffaafffff aa ffgbbfffbbffaafffff aa fdbbffffbbffacfffff eae fbbfffffgbfdaffffff aa bbfffffffbgcaffffff aa bbdfffffffbbaaffffff eac gbgffffffffbbaaffffff cae ebbfffffffffgbacffffff aa bb ffffffffffbadffffff aa bb ffffffffffbbfffffff eac bb ffffffffffbbfffffff aa gbf ffffffffffabfffffff aa fbg ffffffffffabgffffff eac bb ffffffffffabbffffff cae bb fffffffffdabbffffff aa bb fffffffffcadbffffff aa bbe fffffffffaafbgfffff eac gbg fffffffffaafbbfffff aa ebb fffffffffacfbbfffff aa bb ffffffffdaffdbfffff ac bb ffffffffcafffbgffff ca bb ffffffffaafffbbffff ae gbf ffffffffaafffbbffff ac fbg ffffffffacfffdbffff aa bb ffffffffadffffbgfff ea bb fffffffcaffffffffff ae bb fffffffaaffffffffff aa bbe fffffffaaffffffffff ca gbg dddddddacdddddddddd dfffffdadfffffffffffffffd ebb ae fffffffacfffffffffffffffd bb ea fffffffaafffffffffffffffd gbb ca fffffffcafffffffffffffffdbbb aa ffffffffadfffffffffffffdbbf ac ffffffffaaffffffffffffgbb ae ffffffffaafffffffffffbbbd ea ffffffffcafffffffffdbbdfd ca fffffffffacfffffffbbbfffd aa fffffffffaaffffffbbgffffd aa fffffffffcaffffgbbdfffffd ac fffffffffdafffbbbfffffffd ae ffffffffffacdbbgffffffffd ea ffffffffffabbbffffffffffd ca ffffffffffbbbfffffffffffd aa ffffffffdbbadfffffffffffd ac fffffffgbbfaafffffffffffd ae ffffffbbbffaafffffffffffd ea ffffdbbdfffcafffffffffffd ca fffbbbffffffacffdfffffffd aa ffbbgfffffffaaffaacfffffd ac gbbdffffffffcafaaaaaffffd ae bbbffffffffffdacadfdaacffd ea bbgffffffffffffaaaffffaaafd ca gbbefffffffffffffaaffffffdaac aa bbb ffffffffffffffdffffffffaaa aa ebbf ffffffffffffffffffffffffdaac ac gbb ffffffffffffffffffffffffd caa ae bbg ffffffffffffffffffffffffd eaac ea fbbe ddddddddddddddddddddddddf caa ca gbb eaac aa bbg caae ac dbbe aac ae bbb caae ea bg aac ca caae aa aac ac caae ae aaa ea caaeca aaaa caa ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#164de4ff b,#55314eff c,#7596efff d,#b2a2aeff e,#c6ceecff f,#3a68e6ff g,#81667bff ``` ```image caaf eaaa aaae caac caaf eaaae faac caaf eaaa aaae e faac db caaf gbb eaaa ebbbb aaae dbbbbg caac gbbbbd eaaa dbbbbbe eaaae dbbbbg faac egbbbbd caaf dbbbbbe eaaa gbbbbg aaae ebbbbbd faac dbbbbge caaf gbbbbg eaaa ebbbbbd aaae dbbbbge caac gbbbbd eaaadbbbbbe eaabbbbbg fbbbbbd dbbbbbe gbbbbb ebbbbbaae dbbbbgfaac gbbbbg caaf ebbbbbd eaaa dbbbbge aaae gbbbbd caac dbbbbbe eaaa gbbbbg eaaae egbbbbd faac ee dbbbbbe caaf eaafe gbbbbg eaaa aaaaac ebbbbbd aaae caaaaaafe dbbbbge faac eaaacfaaaac gbbbbg caaf faaf caaaafe bbbbbd eaaacaaae efaaaac bbbge aaaaaac caaaafe bbd caaaaae efaaaac be eaaaac caaaaf aaaf efaaa faae caa ce ef ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Let's continue our search in the next region. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#174ee3ff b,#54304dff c,#94adf2ff d,#a896a5ff e,#d4d3e3ff f,#527beaff g,#795e75ff ``` ```image aaae eaaa caaf faaf faac aaae eaaa ebg caaa ebbbd caaf ebbbbg faac gbbbbb aaac gbbbbbbe eaaae dbbbgbbbd caaa ebbbg gbbg caaf ebbbbe dbbb faac gbbbe ebbbe aaac gbbbd bbbd aaae dbbbd dbbg eaaa dbbbg dbbb caaf ebbbg ebbbe faaf ebbbbe gbbd faac gbbbe dbbg aaae gbbbd dbbb eaaa dbbbg ebbbe caaa ebbbg gbbd caaf ebbbbe dbbg faac gbbbe dbbb aaac bbbd ebbbeaaae bbd gbbdaaa bg dbbgaaf g dbbbaac e ebbbaac gbbaae dbbba ebbbf bbbf bbbg bbbg eabbb cabbbe cabbbd fabbbg aaabbb eaaabbbe caaagbbd caafdbbg faacebbb aaac bbbe aaae gbbd eaaa dbbg caaf ebbb faaf bbbe faac gbbd aaae dbbg eaaa ebbb caaa bbbe caaf gbbd faac dbbg aaac ebbb eaaae bbbe caaa gbbd caaf dbbg faac ebbb aaac bbbe aaae gbbd eaaa dde caaf faaf faac aaae eaaa caaa ``` <!-- end of image --> Aha! I've found 1 intersection inside area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#164de4ff b,#55304cff c,#87a3f1ff d,#ac9aa8ff e,#ced3ecff f,#4c76eaff g,#76586fff ``` ```image ae eaf ae fae ca aa fa aa aa cac ebd af aa bbb ae aa bbbb ea eaf bbedb fa fae gbd bd aa aa dbg bb af aa ebb gb ac cac bb db ea aa bb bdca aa gbe bbaa eaf dbd gbaa fae ebg dbac aa bb bae aa bb bb cac bbe bb aa gbd ab aa dbg abd eaf ebb abb fae bb eagb aa bb faeb aa gbe aa bd cac dbd af bb aa ebg ac gb aa bb ea eb eaf bb ca bd fa bbe aa bb ae gbd aa gb af dbg ac eb aa ebb ae bd ca bb ca ac bb fa aa gbe aa fa dbd af ea ebg ae af ebb ea aa dbb fa ca bbg aa ae ebbd af af gbb ac aa bbg ea ca ebbe ca ac gbb aa aa bbg aa fa dbbe ac ea bbb ae afebbd ca abbb fa bbg aa ebbae af gbb af ae bbg aa ea ebbe ca fa gbb ac e aa bbg aa aac af dbbe fa aaaaa ac bbb eacae eaac ea ebbd aaa aaa ca dbb aa eaaf aa bbg ee faa aa ebbd eaaf ac gbb faa ae bbg eaaf ca ebbe faae fa gbb eaaf aa bbg faae af dbbe eaaf ae bbb faae ea bd eaaf fa faae aa aaf af faae ac aaf ea caaeca aaaa caa ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b6031ff b,#68b679ff c,#0bb326ff d,#ebf4edff e,#3f885aff f,#b1d7b1ff g,#94c897ff ``` ```image ad gad ddddddddddddddddddaeddd dgffffffffffffffffeaffffg dfffffffffffffffffabffffg dffffffffffffffffaafffffg gd dfffffffffffffffgagfffffg ad dccccb dfffffffffffffffaaffffffg aa bccddecccb dffffffffffffffeafffffffg aa dccb dccccg dffffffffffffffaefffffffg aa bccd fccccbffffffffffffaaffffffffg dae dccb fccccbffffffffgabffffffffg fab bccd dfbccccbfffffaafffffffffg bag dccb dffffbccccgfbaffffffffffg ead bccd dfffffffbcccaaffffffffffg aagggggggggggggggggggggf dccb dffffffffffaacccgfffffffg gaaffffffffffffffffffffg bcc dffffffffffaefbccccgffffg gfaafffffffffffffffffffg dccb dfffffffffaafffffbcccbffg gffaaffffffffffffffffffgbcc dffffffffgagffffffffefffg gffgaaffffffffffffffffgccg dffffffffaafffffffffffffg gfffbaeffffffffffffffecc dfffffffeaffffffffffffffg gffffeabfffffffffffgccbg dfffffffaeffffffffffffffg gfffffeagfffffffffcccffg dffffffaafffffffffffffffg gffffffaafffffffgccbfffg dfffffgabfffffffffffffffg gfffffffaafffffcccfffffg dfffffaaffffffffffffffffg gffffffffaaffgccbffffffg dffffbagffffffffffffffffg gfffffffffaacccffffffffg dffffaafffffffffffffffffg gfffffffffgaabfffffffffg gggeaggggggggggggggggggf gffffffffcccaefffffffffg ab gffffffgccbfeabffffffffg aa gfffffcccffffeagfffffffg daf gfffgccbffffffaafffffffg aa gffcccfffffffffaaffffffg gad ggccbfffffffffffaafffffg ae cccffffffffffffffaaffffg ea dccbfffffffffffffffbaffffg dag cccgffffffffffffffffgaffffg aa dccf gffffffffffffffffgaffffg fad ccc gfffffffffffffffffaffffg aa cf gfffffffffffffffffagfffg ba dddddddddddddddddadddd ab af aa af daf ag aa ab gad ab ae ae ea ae dag aa aa aa fad ea aa ea ba ba ab ga aa fa daf fa aa da gad da ae a aag ea ad baaaaaab af dab gaa af aa ag ead ab dab ab aa ae ea ae fag aa aa aa aa ea faf ea ae ba aa ga gad ga ae fa aa da bad dadab aaa aad ab ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b6030ff b,#6c9f82ff c,#08b323ff d,#d7ecdcff e,#3a7f58ff f,#3fc454ff g,#9ad2a7ff ``` ```image aaae daaae gaaab gaaab baaag baaag eaaad eaaad daaae df daaae gcc gaaab dfccc gaaab gccccf baaag dfccccg baaag gccccfd eaaad dfccccg eaaad gccccfd daaae dfccccg daaae gccccfd gaaab dfccccg gaaab gccccfd baaag dfccccg baaag gccccfd eaaagfccccg eaaacccfd daaaacg gccaaae dfccccaaab gccccfdgaaab dfccccg baaag gccccfd baaag dfccccg eaaad gccccfd eaaad dfccccg daaae gccccfd daaae dfccccg gaaab gccccfd gaaab dfccccg baaag gccccfd baaag fccccg eaaad cccfd eaab ccg gaab fd gaab daae daae daae daae aaa aaa aaa ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Let's inspect the next region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0a6030ff b,#72ad86ff c,#08b323ff d,#d7eadcff e,#347b53ff f,#44c559ff g,#a0d3adff ``` ```image daaad eaab gaaad eaab baae daaag eaae gaaad eaab gaaa daaag baae daaad eaab gaaad fgd eaab cccfgd baae ccccccfgd daaag gfcccccccfg baae gfcccccccfg daaad gfcccccccfg eaab gfcccccccfg gaaad dgfcccccccbgaaag dgfcccccaaae dgfccaaaccbd deaaaccccfbd gaaabcccccccfgd eaab dbcccccccfgd baae dbcccccccfgd daaag gfcccccccg baae gfccccd daaad gff eaab gaaad aaag baae daaag eaae gaaad eaab baaa daaag baae daaad eaab gaaad eaab baae daaag ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0a5f30ff b,#6a9e81ff c,#08b323ff d,#d1e5d7ff e,#317951ff f,#51c965ff g,#97cba5ff ``` ```image a ga ae ea ag aa g dad e ccccf aa aa fcc dfcccf ba aa ccf dccccg ab aa fcc dccccg ea dae ccf dccccg dag gab fcc gccccg aa bag ccf gccccd ga ead fcc gcccae ea ccf eacccd aa fcc ab fcccfd aa ccg aa fcccg aa fcc dad f dae dccg aa gab fcc ba bag dccg ab ead fcc ea ea dccg dag aa fcc aa aa dccg gad aafcc ae daag ba fccab ab dccg bag aa fcc ead dad dccg ea aa fcc aa ba dccg aa ae fcc aa ea dccg ga ag fcc da aa dccg da gad fcc a ae cg a ba ad ab ad aa ag dad ag aa ab ga ab ae ae ea ae ag aa aa ea dad ea aa ba ba ba ab ga ea ga dag da aa da ga a ae a aab ea ad baeaaaab ad ab gaa ag aa ag ba ab dab ab aa ae ea ae dag aa aa ea ea ea gad ba ae ba aa ga gad ga ae da aa da bad a ab aaa aa ab ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#c0ca37ff b,#2b5073ff c,#e5e9bcff d,#b1d7b1ff e,#95c59aff f,#cbd775ff g,#62828fff ``` ```image faa aaa aaa aaf aaf aac aa caa caa faa aaa aaa aaa aaf aac aac caa caa faa faa aaa ccf aaa ccffaaaaaaaaaaaa aaf ccffaaaaaaaaaaaaaaaaaaaaaaa aac ccfaaaaaaaaaaaaaaaaaaaaaaaaaaffcc aac aac ccffaaaaaaaaaaaaaaaaaaaaaaaaaafcc aaf aa ccffaaaaaaaaaaaaaaaaaaaaaaaaaaffddd aaa caa caaaaaaaaaaaaaaaaaaafffdddddddddddddd faa faa aaaaaaaaafcc eddddddddddddddd caa faa aaa eddddddddddddddd aac aaa aaf eddddddddddddddd aaf aaa aac eddddddddddddddd aaa aaf caa eddddddddddddddd faa aaf faa edddddebbgdddddd aa aac aaa edddddbbbbbgdddd aaf aa aaa eddddbbbbbbbbgdd aaa caa aaf edddgbbbdebbbbbg aaa caa aa edddbbbddddebbbbbg caa faa caa eddbbbeddddddebbbbbg aac aaa faa edgbbgdddddddddebbbbbb aaf aaa aaa eebbbddddddddddd bbbbbb eddddddddaaadddaaaddddddd aaf ebbbdddddddddddd gbbbbb eddddddddaaadddaafddddddd aac bbbgdddddddddddd gbbbbbc eddddddddfaadddaafddddddd caa dbbbeeeeeeeeeeeee gbbbbbd edddddddddaafddaadddddddd faa bbb gbbbbbd edddddddddaaaddaadddddddd aaa bbbc ebbbbbgdddddddddaaadfaadddddddd aaa ebbg dbbbbbgdddddddfaadfaadddddddd aaf bbb dbbbbbgddddddaadaaadddddddd aac bbb gbbbbbgddddaafaaadddddddd caa gbbe edebbbbbgddaaaaaadddddddd faa cbbb edddebbbbbbaaaaafdddddddd aaa bbb eddddddbbbbgaaaafdddddddd aaf bbbd eddddddddbbbaaaafdddddddd aac ebbg eddddddddddbaaaabeddddddd aa bbb edddddddddddaaaabbbeddddd caa bbb edddddddddddaaaabbbbbeddd aaa gbbg edddddddddddfaaadgbbbbddd cf cbbb eddddddddddddaaadddgbgddd bbb eddddddddddddaaaddddddddd bbbd eddddddddddddaafddddddddd dbbb edddddddddddddddddddddddd bbb edddddddddddddddddddddddd bbbc edddddddddddddddddddddddd gbbg edddddddddddddddddddddddd bbb edddddddddddddddddddddddd bbb edddddddddddddddddddddddd gbbe edddddddddddddddddddddddd dbbb deeeeeeeeeeeeeeeeeeeeeeee bbb bbbc ebbg bbb bbb gbbe cbbb bbb bbbd dbbg bbb bbb bg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c0ca37ff b,#2a4f73ff c,#dde294ff d,#e1e6e1ff e,#aebccaff f,#7b92a8ff g,#4d6b89ff ``` ```image aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaacccccdd aaaaaaaaaaaccccddd ccccdd dffe dbbbbge gbbbbbbbe fbbbbbbbbbbfd ebbbbbbbbbbbbbfd dgbbbbbbbbbbbbbbbfd fbbbbbfegbbbbbbbbbbfd ebbbbbg egbbbbbbbbbb dbbbbbbd dfbbbbbbbb gbbbbbf dfbbbbbb fbbbbbg dfbbbb dbbbbbbd dfbb gbbbbbe df fbbbbbf ebbbbbg dbbbbbbe gbbbbbf ebbbbbg dbbbbbbd gbbbbbe ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Hmm, interesting. Let's check out another area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#bfc937ff b,#2b5073ff c,#e6e9b0ff d,#dfe4dfff e,#93a5b7ff f,#d3da79ff g,#668092ff ``` ```image caaaaa daaaaa daaaaa caaaaa aaaaac caaaaf faaaaf faaaaf caaaaf faaaaf caaaaa faaaac aaaaad aaaaac aaaaac aaaaad faaaaf aaaaa caaaaa daaaaa daaaaa caaaaa e aaaaac caaaaf bbe faaaac caaaaf bbbbed faaaaf faaaaf bbbbbbed caaaaa faaaac bbbbbbbbed daaaaa aaaaac bbbbbbbbbbgd aaaaac aaaaad dgbbbbbbbbbbgd faaaaf aaaaa dgbbbbbbbbbbgd caaaafdaaaaa dgbbbbbbbbbbgd caaaaacaaaaa dgbbbbbbbbbbgd aaaaafaaaaf debbbbbbbbbbgeaaaaaaaaaaf debbbbbbbbbbaaaaaaaaaaf ebbbbbbbbgaaaaaaaaac ebbbbbbbaaaaaaaaac ebbbbbaaaaaaaaac ebbbaaaaaaaaad eggaaaaaaaabed faaaaaaaabbbgd daaaaaaaabbbbbgd aaaaaaaabbbbbbbgd faaaaaaabbbbbbbbbgd caaaaaafgbbbbbbbbbbg caaaaaac debbbbbbbbg aaaaaac debbbbbbd aaaaaad ebbbg faaaaa ebd caaaaa daaaaa faaac cfc ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area B! Answer: A: 0; B: 2; 0 + 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c0ca36ff b,#2b5073ff c,#e0e59fff d,#e4e8d7ff e,#95a7b9ff f,#cfd769ff g,#5c7891ff ``` ```image faa aaa aaa aaf aac aac aad daa caa faa aaa aaa aaf aaf aac aad daa caa faa faa aaa ddcf aaa dccfaaaaaaaaaaaa aaf dcffaaaaaaaaaaaaaaaaaaaaaaa aac ddcffaaaaaaaaaaaaaaaaaaaaaaaaafccd aad aad dccfaaaaaaaaaaaaaaaaaaaaaaaaaffcdd aaf aa dcffaaaaaaaaaaaaaaaaaaaaaaaaaffcd aaa daa caaaaaaaaaaaaaaaaaaafccd faa caa faaaaaaaffcdd daa faa aaa aac aaa aaf aaf aaa aad aaa aaf daa caa aac faa dbbe daad aac aaa bbbbbe aac aad aaa bbbbbbbbe aaa daa aac ebbg dbbbbbg faa caa aad bbb dbbbbbg caa faa caa bbbd dbbbbbg aad aaa faa gbbg bbbbbb aaf aaa aaa dbbb bbbbbb aaa aaf aaf bbb gbbbbbd faa aaf aac gbbe gbbbbbd daa aac daa dbbb gbbbbbd aac aad caa bbb ebbbbbe aaf daa aaa bbbd ebbbbbe aaa caa aaa ebbg ebbbbbe caa faa aac bbb ebbbbbe daa faa aad bbb dbbbbbg aacaaa caa gbbe dbbbbbg aaaaaa faa dbbb dbbbbbgaaaaaf aaa bbb bbbbgaaaac aaf bbbd bbbaaaad aac ebbg gaaaabd daa bbb aaaabbbd caa bbbd faaabbbbbd faa gbbe daaa ebbbb cf dbbb aaa ebg bbb aaa bbbe fac ebbb bbb bbbd ebbg dbbb bbb gbbe dbbb bbb bbbd ebbg bbb bbb gbbe dbbb bbb bbbd ebbg bbb bbbd bg ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#1b3faeff b,#f231b5ff c,#6c86c2ff d,#e9c7e9ff e,#b0d6b1ff f,#95c799ff g,#eb7bc6ff ``` ```image dbg fffffffffffffffffffffff bb eeeeecaaaeeeeeeeeeeeeee bb eeefaaaaaeeeeeeeeeeeeee dbg efaaaaeaaeeeeeeeeeeeeee bb daaaafeecaceeeeeeeeeeeee bbd aaaafeeeeeaaeeeeeeeeeeeee dbb aaaaceeeeeeeaaeeeeeeeeeeeee eeeeebbeeeeeeeeeeeeeeef caaae eeeeeeeeaafeeeeeeeeeeee eeeeegbgeeeeeeeeeeeeeef caaac eeeeeeeefaaeeeeeeeeeeee eeeeeebbeeeeeeeeeeeeeef caaac eeeeeeeeeaaeeeeeeeeeeee eeeeeebbeeeeeeeeeeeeeef caaac eeeeeeeeeaaeeeeeeeeeeee eeeeeegbgeeeeeeeeeeeeef eaaaa eeeeeeeeecaceeeeeeeeeee eeeeeeebbeeeeeeeeeeeeefdaaaa eeeeeeebggaaeeeeeeeeeee eeeeeeebbeeeeeeeeeeeefaaaa eeeeebbbbbaabbbbbbbggee eeeeeeeebbeeeeeeeeeeaaaad eeeebbbeegaabbbbbbbbbbbbbbbbbggd eeeeeeeebbeeeeeeeeaaaaf eegbbbeeeefaaeeeeeeeggbbbbbbbbbbbg eeeeeeeebbgeeeeeaaaacef ebbbgeeeeeeaaeeeeeeeeee ddbbbbbd eeeeeeeeebbeeeaaaaceeef bbbeeeeeeeeaaeeeeeeeeee gbbbbg eeeeeeeeebbecaaaceeeeef dbbbeeeeeeeeecaceeeeeeeee bbbbbd eeeeeeeeegcaaaceeeeeeef bbgeeeeeeeeeeeaaeeeeeeeee gbbbbg eeeeeeeecaaaaeeeeeeeeef dbgeeeeeeeeeeeeaaeeeeeeeee bbbg eeeeeecaaaabeeeeeeeeeef dbgeeeeeeeeeeeecaceeeeeeee g eeeeecaaaegbbeeeeeeeeef gbdeeeeeeeeeeeeeaaeeeeeeee eeeeecafeeebbeeeeeeeeef bb eeeeeeeeeeeeeaaeeeeeeee eeeeeaaeeeebbeeeeeeeeef bb eeeeeeeeeeeeeaaeeeeeeee eeeeeaaeeeeebbeeeeeeeef bb eeeeeeeeeeeeecaceeeeeee eeeeeaaeeeeebbeeeeeeeef bb eeeeeeeeeeeeeeaaeeeeeee eeeeeaaeeeeegbgeeeeeeef bb ffffffffffffffaafffffff eeeeeaaeeeeeebbeeeeeeef bb cae eeeeeaaeeeeeebbeeeeeeef bg aa eeeeeaaeeeeeegbgeeeeeef dbg aa eeeeeaaeeeeeeebbeeeeeef gbd aad eeeeeaaeeeeeeebbeeeeeef gb dac eeeeeaaeeeeeeeebbeeeeef bb aa aa bb bb aa aa gbd bb cac aa bb bb aa aa bb bb aa dac gbg bg aad dac bb dbg dac eac bb gbd aa cac dbb gb aa cae bb bb cac cad gbd bb aa cad bb bb aa aa bb bb cad aa gbg bb daa aa bb bb aa aa bb dbg aa aa dbg gbd cac aa bb gbd aa aa bbd bb aa aa bb bb cae aa bb bb daa aa gbg bb aa e aa bb bb aa daac aa bb bb eac aaaa aa dbg dbg aa caaad aa bb gbd aa eaaac dac bbd gbd cae daaac dac dbb bb aa aaaa eac bb bb aa caaad cac gbd bb aad eaaac cae bb bb dacdaaac cad bb bb aaaaa cad gbg bb aaad aa bb dbg e aa bb dbg aa dbb gbd aa bb bb aa bbdbb aa bbbb aa bbbb aa gbbb aa bbb aa bbg aa dbd aa aa aa ce ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1a3eaeff b,#f231b5ff c,#91a2d8ff d,#fabce6ff e,#c8d1ebff f,#566dc2ff g,#f476ceff ``` ```image bbbbd dbbbg bbbb gbbbd dbbbg bbbbd gbbbg dbbbb bbbbd gbbbg bbbb gbbbd dbbbg bbbb ef gbbbg caa dbbbb caaaa bbbbd caaaaaa gbbbg caaaaaaaf dbbbb caaaaaaafe gbbbd efaaaaaafe dbbbg efaaaaaaac bbbb efaaaaaaac gbbbd efaaaaaaac dbbbb efaaaaaaac bbbbfaaaaaaac gbfaaaaaaafe caaaaaaafe caaaaaaafe caaaaaaaag efaaaaaaabbb faaaaaaacgbbbd caaaaaac dbbbg faaaac bbbbd faaae gbbbg faaae dbbbb faaa bbbbd faaa gbbbg aaaa bbbb aaaa gbbbd aaaa dbbbg aaaf bbbb aaaf gbbbg eaaaf dbbbb eaaaf bbbbd eaaaf gbbbg eaaaf dbbbb eaaac gbbbd caaac dbbbg caaac bbbb caaac gbbbd caaac dbbbb caaae bbbbd faaae gbbbg faaae dbbbb ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! I'm ready to analyze the next area. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#193daeff b,#f131b5ff c,#b7c2e5ff d,#f0d3eeff e,#768cceff f,#495dbbff g,#f77ed0ff ``` ```image cd cfaac cfaaaaf cfaaaaaaa cfaaaaaaaaac dfaaaaaaaaaaae deaaaaaaae daaaa deaaaaaaaed faaad eaaaaaaaed eaaae aaaaaaaed caaaf aaaaafc aaaa aaafc eaaac afc caaae c daaaa faaac eaaae caaaf aaaad eaaac caaae aaaa faaac eaaae caaaf dgbggggaaaad gbbbbbbbfaaafbbggggddd dgbbbbbbbbbaaafbbbbbbbbbbbbgggggddd dbbbbbbbbbbbaaaabbbbbbbbbbbbbbbbbbbb gbbbbbbddddggfaaabbbbbbbbbbbbbbbbbbbb dgbbbbbg eaaae dddggggbbbbbbbbbbb dbbbbbbd daaaf ddddgggg gbbbbbgd faaad dbbbbbbg eaaae dbbbbbbd caaaf gbbbbbg aaaa bbbbbbg faaac bbbbbd caaae bbbg daaaa bbg faaad bd eaaae g caaaf g aaaa g eaaac d caaae d daaaa d faaac eaaae caaaf aaaad eaaac caaae aaaa faaac ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#193eaeff b,#f230b5ff c,#99a9dbff d,#f9aae0ff e,#e1d8efff f,#556ec2ff g,#f66ac9ff ``` ```image dbd e bb caaf bb eaaaaa dbg eaaaa aa bb aaaae cac bbe aaaae aa ebb faaac aa bb faaac fae gbd faaac eaf bb caaaf aa bb caaaf aa dbg caaaf cac bb eaaaa dbgdaa bbe eaaaa gbbbbaabbbbbbggde dbb aaaae bbbeedfabbbbbbbbbbbbbbbbbgdd bb aaaae dbbb eaa ddgbbbbbbbbbbbg gbd faaac gbbd aa edbbbbbd bb faaac bbb aa dbbbbg bb faaac dbbb caf bbbbbd gfaaaf bbd aa dbbbbg caaaf ebg aa bbbg caaaab dbd fac d caaa dbg gbd eaa fae bb gb aa fae bbd bb aae aa bb bb caf aa bb bb aa aa gbd bb aa aa bb bb fac aa bb ebg aa aa dbg dbd aa aa bb gbd aae aa bbe gb caf aa ebb bb aa aa bb bb aa aa gbd bb cac aa bb bb aa af bb bb aa eaf dbg bg fae eaf bb dbg eaf cac bb dbd aa cac dbb gbe aa cac bb bb cac fae gbd bb aa fae bb bb aa fa bb bb fae aa gbg bb eaa aa bb bg aa aa bb dbg aa aa dbg dbd caf aa bb gbe aa aa bbd bb aa aa ebb bb fac aa bb bb eaa aa gbd bb aa c aa bb bb aae eaaf aa bb bb caf aaaa aa dbg ebg aa faaae af bb dbd aa caaac eaf bbe gbe fac eaaaf eaf ebb bb aa aaaa cac bb bb aa faaae cac gbd bb aae caaac cac bb bb cafeaaaf fae bb bb aaaaa fae dbg bb aaae fa bb ebg c aa bb dbd aa dbg gbe aa bb bb aa gbdbb aa bbbb aa bbbb aa gbbb aa bbb aa bbg aa dbd aa aa af cc ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#c6a44bff b,#fdaff5ff c,#e6d7c0ff d,#fdd8f9ff e,#b2d7b1ff f,#c7ba79ff g,#97c995ff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeefeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeg eeeeeeeefaaaeeeeeeeeeeeeeeeeeeeg b eeeeeeeefaeaaeeeeeeeeeeeeeeeeeeg b eeeeeeeeaaeeafeeeeeeeeeeeeeeeeeg b eeeeeeeeaaeeaaeeeeeeeeeeeeeeeeeg b eeeeeeeeafeeeaaeeeeeeeeeeeeeeeeg b eeeeeeeeafeeeeafeeeeeeeeeeeeeeeg b eeebbbceageeeefaeeeeeeeeeeeeeeeg b eeeecbbbbbbeeeeaaeeeeeeeeeeeeeeg db eeeeeeeefbbbbbbcafeeeeeeeeeeeeeg db eeeeeeeeaeeeebbbbbbceeeeeeeeeeeg db eeeeeeefaeeeeeeeecbbbbbceeeeeeeg db eeeeeeefaeeeeeeeeeafecbbbbbbeeeg db eeeeeeeaaeeeeeeeeefaeeeeecbbbbbbd db eeeeeeeaaeeeeeeeeeeaaeeeeeeeeebbbbbbd db eeeeeeeafeeeeeeeeeeeaaeeeeeeeeeg dbbbbbd bb eeeeeeeafeeeeeeeeeeefaeeeeeeeeeg dbbbbbd bb eeeeeeeageeeeeeeeeeeeaaeeeeeeeeg dbbbbbbd bb eeeeeeeaeeeeeeeeeeeeeeaaeeeeeeeg dbbbbbbd bb eeeeeeeaeeeeeeeeeeeeeeeafeeeeeeg dbbbbbd bb eeeeeeeaeeeeeeeeeeeeeeeaaeeeeeeg dbbbbbd bb eeeeeefaeeeeeeeeeeeeeeeeaaeeeeeg dbbbbbdd bb eeeeeefaeeeeeeeeeeeeeeeeeafeeeeg dbbbbd bd eeeeeeaaeeeeeeeeeeeeeeeeefaeeeeg db bd eeeeeeaaeeeeeeeeeeeeeeeeeeaaeeeg bd bd eeeeeeafeeeeeeeeeeeeeeeeeeeafeeg bb bd eeeeeeafeeeeeeeeeeeeeeeeeeefaeeg db bd eeeeeeageeeeeeeeeeeeeeeeeeeeaaeg bd bd eeeeeeaeeeeeeeeeeeeeeeeeeeeeeafg bb bd eeeeeeaeeeeeeeeeeeeeeeeeeeeeefag b b eeeeeeaeeeeeeeeeeeeeeeeeeeeeeeaa bb b eeeeefaeeeeeeeeeeeeeeeeeeeeeeeeaf db b eeeeefaeeeeeeeeeeeeeeeeeeeeeeeegac bd b eeeeeaaeeeeeeeeeeeeeeeeeeeeeeeegaa bb b eeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeg aa b b eeeeeafeeeeeeeeeeeeeeeeeeeeeeeeg cac bb b gggggafgggggggggggggggggggggggge fa db db ac aa bd db a aa bb db a aa b db ca aac bd db ca faf db db fa caf bd db fa caa bb bb aa aa db bb af aa bd bb ac aac bb bb ac faf b bb a caf bb bb a caa db bb ca aa bdbd ca aa bbbd fa aac bbd fa faf bbd aa caa dbd af caa bd ac aa ac aad aac faf caa daa aa aac aac faf caa aa aa aac fac faf caa aa aa aac faf cac c ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c6a34aff b,#fdaef5ff c,#dfc89aff d,#fdd4f9ff e,#f5eee0ff f,#d3b673ff g,#eaddbdff ``` ```image gfg aaae aaaf eaaaac eaaaaae gaaaaaf gaacaaac caaggaaae caag caaf faae faac faa eaaag aaa caaa aaa faaf eaaf eaaag eaaf caaae gaac faaf gaac eaaag dbbdd caag gaaae dbbbbbbdd caag faaf dbbbbbbbbbbcfe eaaac ddbbbbbbbbbbdd gaaae ddbbbbbbbbbbbdd faaf afcbbbbbbbbbbbddfaac eaaf ddbbbbbbbbbbbcfe eaaf ddbbbbbbbbbbdd gaac ddbbbbbbbbbbddd gaac dcbbbbbbbbbbbdd caag caafdbbbbbbbbbbbdd caag faaf ddbbbbbbbbbbdd faae eaaag ddbbbbbbbbbbdd faae caaae ddbbbbbbbbbb aaa faaf ddbbbbbb aaa eaaag dddb eaaf gaaae eaaf faaf gaac eaaac gaac gaaae caag caaf caag aaac faae gaaag faae caaa aaa faac aaa eaaag eaaf caaae eaaf faaf gaac eaaag gaac gaaae caag faaf caag eaaac faae gaaae faae faaf aaa eaaac aaa gaaae eaaf caaf eaaf aaac gaac gaaag gaac caaa caag faac caag eaaag faae caaae faae faaf aaa eaaag aaa gaaa eaaf faa eaaf eaa gaac ga gaac f caag e caag faae faae aaa aaa eaaf eaaf ``` <!-- end of image --> Yes! I knew it! There's 2 intersections right here in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c6a349ff b,#fdaff6ff c,#e3d0a7ff d,#fdd7faff e,#f0e8d2ff f,#d8bf84ff g,#cdb063ff ``` ```image f ag eaae caga b fa ag b ga eae b ag ga b af aa b ac eac b bbbd ae fa b dbbbbbd aa db fbbbbbbdac db ea ddbbbbbd db ca cbbbbbd db fa af dbbbbbd db ga cae dbbbbbbd db ag aa dbbbbbbd db af ag dbbbbbd bb ac eae dbbbbbd bb ae ga dbbbbbbd bb a ag dbbbbbbd bb a eae dbbbbbd bb ea ga dbbbbbd bb ca aa dbbbbbdd bb fa eac dbbbbd bd ga fa db bd ag aa bd bd af af bb bd ac ca db bd ae aa bd bd a af bb bd a cae b b ea aa bb b ca ag db b fa eae bd b ga ga bb b ag ag b b af eae bb b ac ga db db ae aa bd db a aa bb db a aa b db ea aae bd db ca gac db db fa cag bd db ga eaa bb bb ag aa db bb af aae bd bb ac aae bb bb ae gaf b bb a cag bb bb a eaa db bb ea aa bdbd ca aae bbbd fa gac bbd ga faf bbd ag cag dbd af eaa bd ac aa ae aae gac faf cag eaa aa aae gac faf eag eaa aa aae gac fag eaa aa aa aae gac cac e ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#8212e3ff b,#dc685cff c,#a268d9ff d,#dbb7efff e,#d19e8cff f,#b1d7b1ff g,#96c996ff ``` ```image d ee aaa ebbb caaa ebbbbbd aaaa ebbbbbb aaaaa bbbbbbb aaaaa bbbbbbb aaaaaa bbbbbbb daaaaaa dbbbbbbe aaaccaad dbbbbbbe caaa caad ebbbbbbe fffffffffffffffffaaagfcaacfffffffffffffffffffffffffg ebbbbbbe ffffffffffffffffaaaaffcaacfffffffffffffffffffffffffg ebbbbbbd ffffffffffffffffaaaffffaaafffffffffffffffffffffffffg ebbbbbbd fffffffffffffffaaaaffffaaafffffffffffffffffffffffffg bbbbbbb fffffffffffffffaaafffffaaafffffffffffffffffffffffffg bbbbbbb ffffffffffffffaaacfffffaaafffffffffffffffffffffffffbbbbbbb fffffffffffffcaaaffffffaaafffffffffffffffffffffffbbbbbbe fffffffffffffaaacffffffaaaffffffffffffffffffffebbbbbbe ffffffffffffcaaafffffffaaaffffffffffffffffffebbbbbbe ffffffffffffaaaffffffffaaaffffffffffffffffebbbbbbefg fffffffffffaaaaffffffffaaaffffffffffffffebbbbbbefffg fffffffffffaaafffffffffaaaffffffffffffebbbbbbefffffg ffffffffffaaacfffffffffcaaaaaccfffffbbbbbbbffffffffg ffebbffffcaaaffffffffffcaaaaaaaaaabbbbbbbffffffffffg ffbbbffffaaacfffffffffffcaaaaaaaabbbbbbaaacffffffffg ffbbbeffcaaafffffffffffffffffccabbbbbaaaaaaaaaaacffg ffebbbffaaaffffffffffffffffffffebbbecaaaaaaaaaaaaaaaaacd fffbbbfaaaafffffffffffffffffffebbbeffffffccaaaaaaaaaaaaaaaaacd fffbbbfaaaffffffffffffffffffffbbbbffffffffffffffcaaaaaaaaaaaaaaaaacd fffebbcaacfffffffffffffffffffbbbbffffffffffffffffffg dcaaaaaaaaaaaaaaaaac ffffbbbaafffffffffffffffffffbbbbfffffffffffffffffffg dcaaaaaaaaaaa ffffbbbacffffffffffffffffffbbbbffffffffffffffffffffg dcaaaaad ffffbbbaffffffffffffffffffbbbbfffffffffffffffffffffg daaa ffffcbbefffffffffffffffffebbbefffffffffffffffffffffg aaa fffaabbbffffffffffffffffebbbeffffffffffffffffffffffg aaa fffaabbbffffffffffffffffbbbbfffffffffffffffffffffffg aaad ffaaabbbeffffffffffffffbbbbffffffffffffffffffffffffg caac ffaaaebbbfffffffffffffbbbbfffffffffffffffffffffffffg aaa fffccfbbbffffffffffffbbbbffffffffffffffffffffffffffg aaa ffffffbbbfffffffffffbbbbfffffffffffffffffffffffffffg aaa ffffffbbbefffffffffbbbbffffffffffffffffffffffffffffg caad ffffffebbbffffffffebbbeffffffffffffffffffffffffffffg daac fffffffbbbfffffffebbbefffffffffffffffffffffffffffffg aaa fffffffbbbfffffffbbbbffffffffffffffffffffffffffffffg aaa fffffffebbefffffbbbbfffffffffffffffffffffffffffffffg aaa ffffffffbbbffffbbbbffffffffffffffffffffffffffffffffg caac ffffffffbbbfffbbbbfffffffffffffffffffffffffffffffffg daaa ffffffffbbbffbbbbffffffffffffffffffffffffffffffffffg aaa ggggggggebbebbbbgggggggggggggggggggggggggggggggggggf aaa bbbbbbe aaad bbbbbe daac bbbbb aaa ebbb aaa bb aaa caad daaa aaa aaa aaad caac aaa aaa aaa caad daac aaa aaa aaa caac daaa aaa aaa aaad daac aaa aaa aaa caad daaa aaa aaa aaad ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8212e3ff b,#dc675cff c,#c898f2ff d,#f0c0bbff e,#e6938cff f,#f0dbedff g,#a550e3ff ``` ```image caaaaaac gaaaaac faaaaaag caaaaac gaaaaaaf caaaaag faaaaaag caaaaag gaaaaaaf caaaaag caaaaaac faaaaag aaaaaaa faaaaaa caaaaaac aaaaaa faaaaaag aaaaaa gaaaaaaf aaaaaaf faaaaaag gaaaaaf gaaaaaaf gaaaaaf caaaaaac gaaaaac fe aaaaaaa gaaaaac febb caaaaaac caaaaac febbbb faaaaaag caaaaac febbbbbb gaaaaaac caaaaag debbbbbbbb faaaaaag caaaaag debbbbbbbbbb gaaaaaaf faaaaag dbbbbbbbbbbbbb caaaaaag faaaaag dbbbbbbbbbbbbbef aaaaaaaf faaaaaa dbbbbbbbbbbbbbd caaaaaac aaaaaa dbbbbbbbbbbbbbd faaaaaag aaaaaa febbbbbbbbbbbbbd gaaaaaac aaaaaaf febbbbbbbbbbbbed faaaaaag gaaaaaf febbbbbbbbbbbbed gaaaaaaf gaaaaagccf ebbbbbbbbbbbbef caaaaaag gaaaaaaaaaaggccf debbbbbbbbbbbef de gaaaaaaf gaaaaaaaaaaaaaaaaggccf debbbbbbbbbbbef fdebbbd caaaaaac caaaaaaaaaaaaaaaaaaaaabbbbbbbbbbbbef ebbbbbe faaaaaaa faaaaaaaaaaaaaaaaaaaabbbbbbbbbbbef dbbbbbb gaaaaaac fgaaaaaaaaaaaaaaaaabbbbbbbbbbgaaaaggccf bbbbbbf aaaaaag fccggaaaaaaaaaabbbbbbbbbgaaaaaaaaaaaaggccf ebbbbbd aaaaaaf ffcggaaabbbbbbbbbaaaaaaaaaaaaaaaaaaaaggccf dbbbbbe caaaaag febbbbbbbgaaaaaaaaaaaaaaaaaaaaaaaaaaaag dbbbbbb gaaaaaf dbbbbbbbecgaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbf caaaaac dbbbbbbbe fccggaaaaaaaaaaaaaaaaaaaaaa ebbbbbd aaaaaa fbbbbbbbe fccggaaaaaaaaaaaaaaaa dbbbbbe caaaaac fbbbbbbbe ffcggaaaaaaaaaa bbbbbbgaaaaaf ebbbbbbbf fc ebbbbbgaaaag ebbbbbbbf dbbbbbbaaaaf ebbbbbbbd fbbbbbbaaac dbbbbbbbd bbbbbbgaa dbbbbbbbe ebbbbbbaa fbbbbbbbe dbbbbbbag fbbbbbbbb bbbbbbaf bbbbbbbbf fbbbbbbg ebbbbbbbf ggbbbbbe ebbbbbbbd caabbbbbb dbbbbbbbd aaabbbbbbf dbbbbbbbe caaabbbbbbd dbbbbbbbe faaaagbbbbbe fbbbbbbbe gaaaaabbbbbb fbbbbbbbb faaaaaabbbbbb ebbbbbbbf gaaaaaaebbbbb ebbbbbbbf gaaaaacdbbbbb ebbbbbbbd fgaaa fbbbbb dbbbbbbbd cgc bbbbbd dbbbbbbbe ebbbbe fbbbbbbbe dbbbbb fbbbbbbbe fbbbbbf bbbbbbbbf ebbbbd ebbbbbbbf ebbbbe ebbbbbbbd dbbbbb dbbbbbbbd bbbbbf dbbbbbbbe ebbbbd dbbbbbbbe dbbbbe fbbbbbbbe fbbbbb fbbbbbbbb bbbbbf ebbbbbbbf ebbbbd ebbbbbbbf dbbbbe ebbbbbbbd fbbbbb dbbbbbbbd bbbbbd dbbbbbbbe ebbbbe fbbbbbbbe dbbbbb fbbbbbbbe fbbbbbf bbbbbbbbf ``` <!-- end of image --> Oh my, look at that! It's 2 intersections in area A! Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8211e3ff b,#dc675cff c,#bd82f0ff d,#f4cfccff e,#e79a94ff f,#dec1f7ff g,#9d44e7ff ``` ```image f ee aaa ebbb caaa ebbbbbd aaaa ebbbbbbd gaaaa bbbbbbb aaaaa bbbbbbb aaaaaa dbbbbbbb faaagaaf dbbbbbbe aaacgaaf dbbbbbbe caaa caac dbbbbbbe aaaf caac ebbbbbbd gaaa faag ebbbbbbd aaa faag ebbbbbbd aaag aaa bbbbbbbd faaa aaa bbbbbbb aaac aaa bbbbbbb caaa aaa dbbbbbbe aaaf aaa dbbbbbbe gaaa aaa dbbbbbbe aaa aaa ebbbbbbe aaag aaa ebbbbbbd faaa gaaf ebbbbbbd aaac gaaaaagf ebbbbbbd ebb caaa caaaaaaaaaabbbbbbb bbb aaaf gaaaaaaaabbbbbbaagcf ebbd gaaa cgabbbbbaaaaaaaaaagcf dbbb aaa ebbbegaaaaaaaaaaaaaaaaacf bbb aaag dbbbe fcaaaaaaaaaaaaaaaaagf bbbfaaa bbbb fcgaaaaaaaaaaaaaaaagc ebbgaac bbbb fcgaaaaaaaaaaaaaaaac dbbbaa bbbb cgaaaaaaaaaaa bbbaf bbbb fgaaaaac bbba bbbb faag bbbe ebbbd aaa aabbb dbbbe aaa faabbb dbbbe aaaf aaabbbd bbbb caac aaadbbe bbbb aaa fc bbb bbbb aaa bbb bbbb aaa bbbd ebbbd gaaf dbbb ebbbd faag bbb dbbbe aaa bbb bbbb aaa ebbe bbbb aaa dbbb bbbb caac bbb bbbb faaa bbb bbbb aaa ebbeebbbd aaa bbbbbbe gaaf bbbbbe caag bbbbb aaa dbbb aaa bb aaa gaac faaa aaa aaa aaaf caac aaa aaa aaa gaaf faag aaa aaa aaa caac faaa aaa aaa gaaf caag aaa aaa aaa gaac faaa aaa aaa aaaf ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#207e04ff b,#ee62eaff c,#95c893ff d,#f6b0f4ff e,#519a3dff f,#b1d7b1ff g,#c994c6ff ``` ```image bbb bbbd bbbbb bbbbbb bbbbbbd dbbd bbb bbb dbbb bbb bbbb dbbd bbbd bbb bbb bbb dbbb dbbb bbbb bbb bbbd bbb bbb bbb bbbb dbbd bbbb bbb bbbd bbb dbbb dbbd bbbb e bbb bbbb eaa bbb bbbd aaaa dbbd dbbb aaaa bbb bbbb aaaa fccccccccccccccbbbcccccf bbbd aaaacffffffffffffffbbbfffffc bbb aaaafffffffffffffbbbffffffc dbbb aaaaffffffffffffbbbffffffc bbbb aaaafffffffffffbbbffffffc bbbd aaaafffffffffgbbgffffffc bbb caaaaffffffffbbbfffffffc dbbb ccaaaafffffffbbbfffffffc bbbb cfcaaaafffffgbbgfffffffc bbbd cffcaaaaffffbbbffffffffc dbbb cfffcaaaafffbbbffffffffc bbbb cffffcaaaafgbbbffffffffc bbbb cfffffcaaaabbbfffffffffc bbbd cffffffcaaaabbfffffffffc dbbb cfffffffcaaaebfffffffffc bbbb cffffffffcaaaefffffffffc bbbb cfffffffffgaaaeffffffffc bbbd cfffffffffbgaaaefffffffc dbbb cffffffffgbbcaaaeffffffc bbbb cffffffffbbbfcaaaefffffc bbbgcccccccccccccccccacccc cffffffffbbbffeaaaeffffc bbbffffffffffffffffaaaeff cffffffffbbbfffeaaaefffc dbbbffffffffffffffcaaafff cfffffffgbbgffffeaaaeffc bbbbfffffffffffffaaacfff cfffffffbbbffffffeaaaefc fbbbgfffffffffffeaaaffff cfffffffbbbfffffffeaaaec ffbbbffffffffffcaaafffff cfffffffbbbffffffffeaaae ffgbbbfffffffffaaaefffff cffffffgbbgfffffffffeaaac fffbbbbfffffffeaaaffffff cffffffbbbfffffffffffeaaac ffffbbbgffffffaaacffffff cffffffbbbffffffffffffeaaac ffffgbbbfffffaaaafffffff cffffffbbbfffffffffffffeaaac fffffbbbbfffcaaaffffffff cfffffgbbgfffffffffffffceaaaf ffffffbbbbffaaaeffffffff fcccccbbbccccccccccccccf eaaaf fffffffbbbgeaaafffffffff bbbb eaaaf fffffffgbbbaaaffffffffff bbbbbb eaaaf ffffffffbbaaaeffffffffff dbbbbbd eaaaf fffffffffgaaabbbbgffffff dbbbbbd eaaaf fffffffffaaagbbbbbbbbfff bbbbbb eaaaf ffffffffeaaafgbbbbbbbfff bbbbbb aaaaf ffffffffaaaffffffgbbbfff dbbbbbd aaaaf fffffffaaaefffffffffffff bbbbbd aaaa ffffffcaaaffffffffffffff bbbb aaaa ffffffaaacffffffffffffff b aaaa fffffeaaafffffffffffffff aaaa fffffaaaffffffffffffffff aaaa ffffaaaeffffffffffffffff aaaa fffcaaafffffffffffffffff aaaa fffaaacfffffffffffffffff aaaa ffeaaaffffffffffffffffff aaaa fcaaafffffffffffffffffff aaaa faaaefffffffffffffffffff aaaa eaaaffffffffffffffffffff aaaa aaaf aaaa eaae aaaa faaa aaaa aaac aaaaaaa aaaaa aaae aa ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#207e03ff b,#ee62eaff c,#a1b295ff d,#f6b0f4ff e,#6eaa5bff f,#d0e3caff g,#3d8b24ff ``` ```image dbbbbbb dbbbbbd bbbbbb c bbbbbb ac dbbbbbd aac bbbbbbd aaac bbbbbb aaaac dbbbbbd aaaaaf bbbbbbd aaaaaaf bbbbbb aaaaaaaf dbbbbbd gaaaaaaaf dbbbbbd gaaaaaaaf bbbbbb gaaaaaaaf dbbbbbb gaaaaaaaf dbbbbbd fgaaaaaaaf bbbbbb fgaaaaaaaf bbbbbb fgaaaaaaaf dbbbbbd fgaaaaaaaf bbbbbbd fgaaaaaagf bbbbbb fgaaaaaagf dbbbbbd fgaaaaaagf dbbbbbd fgaaaaaagf bbbbbb fgaaaaaagf dbbbbbb faaaaaaagf dbbbbbd faaaaaaagfbbbbbb faaaaaaagbbbbbb faaaaaaagbbbbd faaaaaaagbbb faaaaaaagbb faaaaaaagd faaaaaaag faaaaaaag dcaaaaaaag dbcaaaaaaag bbbcaaaaaaag bbbbcaaaaaaag dbbbbbcaaaaaaae dbbbbbdcaaaaaaae bbbbbb caaaaaaae bbbbbb caaaaaaae dbbbbbd caaaaaaae dbbbbbd caaaaaaae bbbbbb caaaaaaae bbbbbb caaaaaaae dbbbbbd caaaaaaae dbbbbbd caaaaaaae bbbbbb caaaaaaae bbbbbb eaaaaaaae dbbbbbd eaaaaaaae dbbbbbd eaaaaaaae bbbbbb eaaaaaaa bbbbbb eaaaaaa dbbbbbd eaaaaa dbbbbbd eaaaa bbbbbb eaaa bbbbbb eaa dbbbbbd ea dbbbbbd e bbbbbb bbbbbb dbbbbbd ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Alright, let's concentrate on the next area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#207e04ff b,#ee62eaff c,#81ad70ff d,#f6aff4ff e,#4c9234ff f,#dcead7ff g,#aed0a4ff ``` ```image bbbb gf bbbbd aac bbbbbd caaaag bbbbbb faaaaaac bbbbbbb eaaaaaaf dbbbbbbd gaaaaaag bbbbbbbd faaaaaae bbbbbbb caaaaaaf dbbbbbbb faaaaaac dbbbbbbd eaaaaaa bbbbbbbd gaaaaaag bbbbbbb faaaaaae dbbbbbbb caaaaaaf dbbbbbbd gaaaaaac bbbbbbbd eaaaaae bbbbbbb caaaaaag dbbbbbbd faaaaaae bbbbbbbd eaaaaaaf bbbbbbb gaaaaaac dbbbbbbb eaaaaae dbbbbbbd caaaaaag bbbbbbbd faaaaaac bbbbbbb eaaaaaaf dbbbbbbb gaaaaaag dbbbbbbd aaaaaae bbbbbbbd caaaaaaf bbbbbbbfaaaaaac dbbbbbbeaaaaaaf dbbbbcaaaaaag bbbbaaaaaaed bbeaaaaaabbbbdd dbaaaaaacbbbbbbbbdd eaaaaaabbbbbbbbbbbbbbdd gaaaaaacbbbbbbbbbbbbbbbbb faaaaaaebbbbbbbbbbbbbbbbbb caaaaaaf ddbbbbbbbbbbbbbd gaaaaaac ddbbbbbbbbbd eaaaaae ddbbbbb caaaaaag dd faaaaaae eaaaaaaf gaaaaaac eaaaaae caaaaaag faaaaaac eaaaaaaf gaaaaaag aaaaaae caaaaaaf faaaaaac eaaaaaaf gaaaaaag faaaaaae caaaaaaf faaaaaac eaaaaaa gaaaaaag faaaaaae caaaaaaf gaaaaaac eaaaaae caaaaaag ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#217e04ff b,#ee61eaff c,#95b687ff d,#f395f1ff e,#569c40ff f,#d4e6cfff g,#f9c8f7ff ``` ```image bbd bbbg dbbbb bbbbbb bbbbbbd dbbg bbbg bbb dbbb bbb bbbb gbbd bbbd bbb bbb bbb dbbb gbbd bbbb bbbg bbbd bbb gbbb bbb dbbb dbbg bbbb bbb bbbg bbb gbbb dbbd bbbb e bbb bbbd eaa bbb bbbg aaaa gbbd gbbb aaaa bbb bbbb aaaa bbb bbbd aaaa gbbb bbbg aaaa bbbg dbbb aaaa bbb bbbb aaaa bbb bbbd aaaa dbbg gbbb aaaa bbb dbbb faaaa bbb bbbb faaaa gbbd bbbg faaaa bbb gbbb faaaa bbb dbbb faaaa gbbd bbbb faaaabbb bbbg faaaabb gbbb faaaab bbbb faaae bbbd caaae bbbg bcaaae gbbb gbbcaaae bbbb bbb caaae bbbd a bbb caaae bbbg aaac bbb caaae dbbb caaa gbbd caaae bbbb aaaf bbb caaac bbbd eaaa bbb caaac gbbb faaa bbb caaac dbbb aaac gbbd eaaac bbbb caaa bbb eaaac bbbg aaaf bbb eaaac gbbb aaae bbb eaaac dbbb faaa gbbd eaaac bbbb aaac bbb eaaac bbbgcaaa bbbb eaaaf gbbbaaa dbbbbb eaaaf bbaaae dbbbbbg eaaaf baaabbbbdg gbbbbbd eaaaf aaacbbbbbbbb bbbbbb aaaaf eaaa gbbbbbbb bbbbbb aaaaf aaa gdbb dbbbbbg aaaaf aaae bbbbbd aaaaf faaa bbbd aaaaf aaaf b aaaaf eaaa aaaaf aaa aaaa aaae aaaa caaa aaaa aaaf aaaa eaaa aaaa faaa aaaa aaac aaaa caaa aaaa aaaf aaaa aaae aaaa faaa aaaa aaac aaaaaaa aaaaa aaae aa ``` <!-- end of image -->
[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#890ee6ff b,#e5c058ff c,#bc99dcff d,#e1d391ff e,#9f4de0ff f,#b1d7b1ff g,#96c996ff ``` ```image bbd dbbbbbd bbbbdbbbbb bbbd dbbbbbd dbbb bbbbbd bbbb dbbb bbbb dbb dbbbd dbb dbbb dbb bbbb dbb bbbd dbb dbbb dbb bbbb dbb bbbd dbb dbbb bb bbbb bb bbbb bb dbbbd bb bbbb bb ac bbbb bb aaa bbbd bb aaa dbbb bb aaaa bbbb bb caaaac bbbd bb aaaaae dbbb bb caa eaa bbbb bb aae aa bbbd bb eaa aa dbbbd bb aae aac bbbb bb eaa aae bbbb ggggggggggbbgggggggaaeggggeaaggggggggggggg bbbd ffffffffffbbffffffaaafffffcaafffffffffffff dbbb ffffffffffbbdfffffaacffffffaafffffffffffff bbbb ffffffffffbbdffffaaafffffffaacffffffffffff bbbd ffffffffffbbdffffaacfffffffaaeffffffffffff b ffffffffffbbdfffaaaffffffffeaaffffffffffff cc ffffffffffbbdffcaafffffffffcaaffffffffffff aac ffffffffffbbdffaaaffffffffffaaffffffffffff aaaa ffffffffffbbdfcaafffffffffffaacfffffffffff caaaaa ffffffffffbbbfaaafffffffffffaaefffffffffff aaa aac ffffffffffbbbeaaffffffffffffeaafffffffffff caa eaa ffffffffffbbbaaeffffffffffffcaafffffffffff aae aaa ffffffffffbbeaaffffffffffffffaafffffffffff eaa aae ffffffffffbbaaeffffffffffffffaacffffffffff aac eaa ffffffffffbeaafffffffffffffffaaeffffffffff aaa aaa ffffffffffbaaefffffffffffffffeaaffffffffff aac aae ffffffffffaaaffffffffffffffffcaaffffffffff aaa caac ffffffffffaacfffffffffffffffffaaffffffffff aa aaa fffffffffaaabfffffffffffffffffaacfffffffff aaa aaa fffffffffaabbfffffffffffffffffaaefffffffff caa caac ffffffffaaabbfffffffffffffffffeaafffffffff aaa aaa fffffffcaagbbfffffffffffffffffcaafffffffff eaa aaa fffffffaaadbbffffffffffffffffffaaffffbffff aae aac ffffffcaaffbbffffffffffffffffffaacffbbbfff eaa eaa ffffffaaaffbbffffffffffffffffffaaefbbbdfff aac aaa fffffeaafffbbffffffffffffffffffeaabbbdffff eaa aae fffffaaefffbbffffffffffffffffffcaabbdfffff aac eaa ffffeaaffffbbfffffffffffffffffffaabdffffff aaa aaa ffffaaeffffbbffffffffffffffffffbaacfffffff aac aae fffeaafffffbbfffffffffffffffffbbaaefffffff aaa caa fffaaefffffbbffffffffffffffffbbbeaafffffff aa aaa ffaaaffffffbbfffffffffffffffbbbdcaafffffff aaa aaa ffaacffffffbbffffffffffffffbbbdffaafffffff caa caac faaafffffffbbfffffffffffffbbbdfffaacffffff aaa aaa gaacfffffffbbffffffffffffbbbdffffaaeffffff caa aaa aaaffffffffbbfffffffffffbbbdfffffeaaffffff aaa caaeaafffffffffbbffffffffffbbbdffffffcaaffffff caa eaaaafffffffffbbfffffffffbbbdffffffffaaffffff aae aaaffffffffffbbffffffffbbbdfffffffffaacfffff eaa aeffffffffffbbfffffffbbbdffffffffffaaefffff aae fffffffffffbbdfffffbbbdfffffffffffeaafffff eaa fffffffffffbbdffffbbbdffffffffffffcaafffff aac fffffffffffbbdfffbbbdffffffffffffffaafffff eaa gggggggggggbbdggbbbbgggggggggggggggaacgggg ec bbd bbbd aae bbdbbbd eaa bbbbbd caa bbbbd aa bbbd aac dbd aae eaa cac ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#890ee6ff b,#e5bf59ff c,#c68bf1ff d,#f8efd7ff e,#a64ae6ff f,#e4c9f8ff g,#f0da9fff ``` ```image gbbbbd eaaaac eaaaaf gbbbbd caaaaa caaaac gbbbbd eaaaac faaaac gbbbbd caaaaa aaaae gbbbbd aaaaac eaaaa dbbbbd caaaae eaaaaf dbbbbd aaaaaf caaaac dbbbbd caaaae faaaac dbbbbg faaaaaf aaaae dbbbbg eaaaae eaaaa dbbbbg faaaaaf eaaaaf dbbbbg eaaaae caaaac dbbbbg faaaaaf faaaac dbbbbg eaaaac aaaae dbbbbg faaaaa eaaaa dbbbbg eaaaac eaaaaf bbbbg caaaaa caaaac bbbbg eaaaac faaaac bbbbg caaaaa aaaae bbbbg aaaaac eaaaa bbbbg caaaae eaaaaf bbbbg aaaaaf caaaac bbbbbcaaaae faaaac bbbbbaaaaaf aaaae bbbbeaaaae eaaaa bbbbaaaaaf eaaaaf bbbeaaaae caaaac bbbaaaaaf faaaac gbeaaaac aaaae gbaaaaa eaaaa geaaaac eaaaaf caaaaa caaaac aaaaac faaaac caaaaa aaaae aaaaab eaaaa caaaaabd eaaaaf aaaaabbd caaaac caaaaebbd faaaac faaaaabbbd aaaae eaaaaebbbd eaaaa faaaaabbbbd eaaaaf eaaaaebbbbd caaaac faaaaagbbbbd faaaac eaaaacdbbbbd aaaae d faaaaa dbbbbd eaaaa dbg eaaaac dbbbbg eaaaaf dbbbg caaaaa dbbbbg caaaac dbbbbbg aaaaac dbbbbg faaaac dbbbbbbg caaaaa dbbbbg aaaae dbbbbbbg aaaaac dbbbbg eaaaa dbbbbbbg caaaae dbbbbg eaaaafbbbbbbg aaaaaf dbbbbg caaaabbbbbbg caaaae dbbbbg faaaaebbbbg faaaaaf bbbbg aaaaebbbg eaaaae bbbbg aaaaabbg faaaaaf bbbbg deaaaabg eaaaae bbbbg dbeaaaac faaaaaf bbbbg dbbbaaaac eaaaac bbbbg dbbbbaaaae faaaaa bbbbg dbbbbbaaaaa eaaaac bbbbb dbbbbbbeaaaaf caaaaa bbbbb dbbbbbbgcaaaaf aaaaac bbbbb dbbbbbbg faaaac caaaaa bbbbb dbbbbbbg aaaae aaaaac bbbbb dbbbbbbg aaaaa caaaae bbbbb dbbbbbbg eaaaaf aaaaaf gbbbb dbbbbbbg caaaaf caaaae gbbbb dbbbbbbg faaaac faaaaaf gbbbb dbbbbbbg aaaae eaaaae gbbbb dbbbbbbg aaaaa faaaaaf gbbbb dbbbbbbg eaaaaf eaaaae gbbbb dbbbbbbg caaaaf aaaaaf gbbbbd dbbbbbbg faaaac aaaac gbbbbd dbbbbbbg aaaae aaaa gbbbbd dbbbbbbg aaaaa aaac gbbbbd dbbbbbbg eaaaaf aaa gbbbbd dbbbbbbg caaaaf aac gbbbbd dbbbbbbg faaaac ae gbbbbd dbbbbbbg aaaae c gbbbbd dbbbbbbg aaaaa dbbbbd dbbbbbbg eaaaaf dbbbbd dbbbbbbg caaaaf dbbbbd dbbbbbbg faaaac dbbbbg dbbbbbbg aaaae dbbbbg dbbbbbbg aaaaa dbbbbg dbbbbbbg eaaaaf ``` <!-- end of image --> Success! This area contains 2 intersections point! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#890ee7ff b,#e6c058ff c,#ca93f2ff d,#f5e7c3ff e,#a950ebff f,#e3c6f8ff g,#eed590ff ``` ```image dbbd gbbbbbg bbbbgbbbbbd bbbg dbbbbbg dbbbd bbbbbd bbbb gbbb bbbb gbb dbbbd gbb gbbb gbb bbbb gbb dbbbg gbb gbbb dbb bbbb dbb bbbg dbb gbbbd dbb bbbb dbb bbbb dbb dbbbd bb gbbb bb af bbbb bb aaa dbbbg bb faaa gbbb bb aaaa bbbb bb caaaac bbbg bb aaaaae gbbbd bb caa eaa bbbb bb aae faa bbbg bb eaa aa dbbbd bb aae aac bbbb bb eaa aae bbbb bbd aac eaa dbbbg bbd aaa faa gbbb bbd aac aa bbbb bbd aaa aac bbbg bbd faaf aae bd bbd aaa eaa cc bbg faaf faa faac bbg aaa aa aaaa bbg caa aac faaaaa bbg aaa aae aaafaac bbgcaa eaa caa eaa bbgaae faa aae aaa bbeaa aa eaa aae gbaae aac aae eaaf geaa aae aaa aaa gaac eaa aac aae aaa faa aaa caaf aab aa faaf aaa aaab aac aaa aaa faabb aae caa caac aaabb eaa aaa aaa faadbb faa eaa aaa aaadbb aa b aae faac caa dbb aac bbb eaa eaa aaa dbb aae bbbd aac aaa caa dbb eaabbbd eaa faae aae bb faabbd aac eaa eaa bb aabd aaa aaa aae bb baac aaf aae eaa bb bbaae aaa caaf aac bb bbbeaa faaf aaa aaa bb bbbgfaa aaa aaa aac bb bbbg aa faa caaf aaa bb bbbg aaf aaa aaa faaf bb bbbg aae caa aaa aaa bb bbbg eaa aaa faaeaaf bb bbbg faa caa eaaaa bb bbbg aa aae aaa bbd bbbg aaf eaa fae bbd bbbg aae aae bbd bbbg eaa eaa bbd bbbg faa aac bbd bbbg aa eaa bbd bbbg aaf ec bbg bbbg aae bbgbbbg eaa bbbbbg faa bbbbg aa bbbg aaf gbg aae eaa fac ``` <!-- end of image -->
[ "" ]
This image might have some surprises. Let's look for intersections carefully. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#a8c7e0ff b,#7cc6d6ff c,#cde1efff d,#b1d7b2ff e,#a1cfa2ff f,#eef5f2ff g,#4eb6dfff ``` ```image fc aac aaaa caf aa faa cac aa aa aa aa cac fac faa aa aa aa aa fac cac aaf gf faa aa gg aa faa fgb aa caf bgf cac aa gg faa aa fgb aa caf bgf aa aa gg cac aa fgb faa cac bgc aa aa gg aa aa fgb cac cac bgc faa aa gg aa ffffaaffffffffffffffff fgg aa eeeedaaeeeeeeeeeeeeeee bgcfffffffffffffffffcac eddddaaddddddddddddddd feggeeeeeeeeeeeeeeeedaaef edddddaadddddddddddddd fedggdddddddddddddddaadef eddddddaaddddddddddddd fedbgedddddddddddddaaddef eddddddaaddddddddddddd feddggddddddddddddaadddef edddddddaadddddddddddd fedddggdddddddddddaadddef eddddddddadddddddddddd fedddbgbdddddddddaaddddef eddddddddaaddddddddddd feddddggddddddddaadddddef eddddddddaaddddddddddd fedddddggddddddaaddddddef edddddddddaddddddddddd fedddddbgbdddddaaddddddef edddddddddaddddddddddd feddddddggddddaadddddddef edddddddddaaddbgdddddd fedddddddggddaaddddddddef edddddddddaadgggggdddd fedddddddbgbdadddddddddef eddddddddddbggbdbgbddd feddddddddggaadddddddddef edddddddddgggddddddddd fedddddddddggddddddddddef edddddddbggbaddddddddd fedddddddddbgbdddddddddef eddddddgggdaaddddddddd fedddddddddaggdddddddddef eddddbggedddaddddddddd feddddddddaadggddddddddef edddgggdddddaadddddddd fedddddddaaddbgbdddddddef edbggeddddddaadddddddd fedddddddaadddggdddddddef egggdddddddddadddddddd feddddddaadddddggddddddef bggeddddddddddadddddddd feddddddaadddddbgbdddddef cabgggggggddddddddddddaaddddddd fedddddaadddddddggdddddef fcabggggggggggbac eddddddddddddaaddddddd fedddddaaddddddddggddddef bggggggggbac eddddddddddddaaddddddd feddddaadddddddddbgbdddef ggcf edddddddddddddaddddddd feddddaaddddddddddggdddef fgc edddddddddddddaddddddd fedddaaddddddddddddggddef gg edddddddddddddaddddddd fedddaaddddddddddddbgbdef gg eeeeeeeeeeeeeeaaeeeeee feddaaddddddddddddddggdef cgf ffffffffffffffaaffffff feeeaaeeeeeeeeeeeeeeeggef gg aa aa cga gb aa fac gg cgf ca aa gg gg ca fac cga gb fa aa gg cgf af fac gg gg ac aa cga gb aa faf ggag aa aa ggg aa caf cga ca aa f ca caf fa aa af caf ac aa ac ca aa aa aa ca aa aa ca aa fa aa af aa ac ac f ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#a8c6e1ff b,#6fc2e4ff c,#d5e8f3ff d,#95d3ecff e,#bbd8ebff f,#ebf4f9ff g,#4eb6e0ff ``` ```image dgggc eaaac fgggb caaae cgggd faaaa dgggc eaaaf fgggb eaaac cgggd caaae dgggc faaaa fbggbf eaaaf cgggd eaaac dgggc caaae fbggbf faaaa cgggd eaaaf dgggc eaaac bgggf caaae cgggd faaaa dgggc eaaaf bgggf eaaac cgggd caaae dggge faaaa bgggf eaaaf cgggd eaaac dggge caaae bgggf faaaa cgggb eaaaf dggge faaac bgggfeaae cgggbaaaf dgggbae bgggaf cgggb cbggge aaggggf caaagggb aaaedggge caaaf bgggf aaae fgggb caaaf eggge faaac bgggf eaaa fgggb faaac eggge eaaa bgggf faaac fgggb eaaa eggge faaac bgggf eaaa fgggb faaac eggge eaaa bgggf faaac fgggb eaae egggd faaac bgggc eaae fgggb caaaf egggd aaae bgggc caaaf fgggb aaae egggd caaaf bgggc aaae fgggb caaaf egggd ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Moving on to the next area. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#a8c6e1ff b,#63bee3ff c,#d1e6f2ff d,#92d1eaff e,#bed6e9ff f,#edf4f9ff g,#4db6e0ff ``` ```image aaaa faaae eaaaf aaaaf faaae caaac eaaaf faaae caaac eaaaf faaae caaac eaaa faaaf eaac caaa faaaf aaac eaae caaa faaaf aaac eaae ff caaa dggdf aaaf cbggggge eaac dggggggggbc caadbggggddgggggd fabggggbc fbggge cgggggdf ebb fdgggggc ff cbggggba fdggggbdaaf cbggggdfaaac fdggggbc eaae cbggggdf caaa fdggggbc faaaf cbggggdf eaac fdggggbc caae cbggggdf faaa fdggggbc aaaf cbggggdf eaae fdggggbc caaa cbggggd faaaf ggggbc aaac gggd eaae gbc caaa d faaaf aaac eaac eaae caae caaa faaa faaaf aaaf aaac eaac ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a9c6e1ff b,#6dc2e4ff c,#d4e7f3ff d,#92d1ebff e,#bdd8ebff f,#ecf4f9ff g,#4eb6e0ff ``` ```image fe aac aaaa eac aa fae cac aa aa aa aa eac fae fae aa aa aa aa fae eac eaf gf faa aa gg aa fae fgb aa eaf bgf eac aa gg faa aa fgb aa eaf bgc aa aa gg eac aa fgb faa cac bgc aa aa gg aa aa fgb eac cac dgc faa aa gg aa aa fgb aa fae dgc eac aaf gg faa aa fgb aa fae dgc aa eaf gg eac aa fgb faa faf dgc aa aa gg aa aa gg eac ca dge faa ac gg aa aa dgf gg aa ea ggggb dgefac fbggc bge ggaa fggg f ggf dggda bge fggb ea cagg dggc faf aa gg fggb ae caf ege dggc aa aa gg fggb ca ea gg dggc ac aa ege fcdbggggggb aa ea gg fcdbggggggggggbec aa aa gg bggggggggdec ea ea egd ggec ca ae gg cgc faf aa gg bg ac ae egd gb ae aa gg cgf aa ae gg gg aa aa egd gb aa fac gg cgf ea aa gg gg ca fac cgd gb fa aa bgf egf af fac gg gg ac aa cgd gd ae cac bgdg aa aa ggg aa caf cgd ea aa c ca caf fa aa af caf ac aa ae ea aa aa aa ea ea aa ca ea fa ae af aa ac ae f ``` <!-- end of image -->
[ "" ]
I'm examining this image closely. My goal: find any and all intersections. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#083371ff b,#f83293ff c,#b2d7b2ff d,#db84a7ff e,#eff4efff f,#557791ff g,#a0cca3ff ``` ```image ee aaaf caaaae faaaaa aaaaaaf aaaeaaa eaaa faaa gaag aaac aaa caaa aaa aaaf aaa aaae caaf faaa faae aaag aaa eaaa aaa faaa aaa aaae gaag gaaa aaa aaaf aaa e eaaa ef dbb faaa eggggggbbbbgggggggaaafgggggggggggggggggggggggggggggggggggggggggggggggggge egccccdbbbbbccccccgaaacccccccccccccccccccccccccccccccccccccccccccccccccge egccccbbbbbbdccccccaaaaccccccccccccccccccccccccccccccccccccccccccccccccge egccccbbbcbbbdccccccaaagcccccccccccccccccccccccccccccccccccccccccccccccge egcccdbbdcdbbbccccccfaaacccccccccccccccccccccccccccccccccccccccccccccccge egcccbbbcccbbbbccccccaaafccccccccccccccccccccccccccccccccccccccccccccccge egcccbbbccccbbbbcccccgaaaccccccccccccccccccccccccccccccccccccccccccccccge egccbbbccccccbbbbcccccfaaacccccccccccccccccccccccccccccccccccccccccccccge egccbbbcccccccbbbdcccccaaagccccccccccccccccccccccccccccccccccccccccccccge egcdbbdccccccccbbbdccccgaaaccccccccccccccccccccccccccccccccccccccccccccge egcbbbcccccccccdbbbcccccaaafcccccccccccccccccccccccccccccccccccccccccccge egcbbbccccccccccbbbbcccccaaagccccccccccccccccccccccccccccccccccccccccccge egbbbccccccccccccbbbbccccfaaaccccccccccccccccccccccccccccccccccccccccccge egbbbcccccccccccccbbbbccccaaafcccccccccccccccccccccccccccccccccccccccccge egccdccccccccccccccbbbdcccgaaacccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccbbbdcccaaaaccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccdbbbccccaaagcccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccbbbbcccfaaacccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccbbbbcccaaafccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccbbbbcccaaaccccccccccccccccccccccccccccccccccccccge gc egccccccccccccccccccccccbbbdccfaaacccccccccccccccccccccccccccccccccccccge gaaa egccccccccccccccccccccccdbbbdccaaafccccccccccccccccccccccccccccccccccccge caaaaac egcccccccccccccccccccccccdbbbccgaaaccccccccccccccccccccccccccccccccccccge caaaaaae egccccccccccccccccccccccccbbbbccaaaacccccccccccccccccccccccccccccccccccge eaaaaaae egcccccccccccccccccccccccccbbbbccaaagccccccccccccccccccccccccccccccccccgeaaaaaae egccccccccccccccccccccccccccbbbbcfaaacccccccccccccccccccccccccccccccccgaaaaaac egcccccccccccccccccccccccccccbbbdcaaafcccccccccccccccccccccccccccccccaaaaaac egcccccccccccccccccccccccccccdbbbcgaaacccccccccccccccccccccccccccccaaaaaag egccccccccccccccccccccccccccccdbbbcfaaaccccccccccccccccccccccccccaaaaaafe egcccccccccccccccccccccccccccccbbbbcaaagcccccccccccccccccccccccfaaaaafcge egccccccccccccccccccccccccccccccbbbbgaaacccccccccccccccccccccfaaaaafcccge egcccccccccccccccccccccccccccccccbbbbaaafcccccccdbbbbbdccccfaaaaafcccccge egccccccccccccccccccccccccccccccccbbbdaaagccccccbbbbbbbbbfaaaaaacccccccge egccccccccccccccccccccccccccccccccdbbbfaaaccccccbbbbbbbbaaaaaabbbdcccccge egcccccccccccccccccccccccccccccccccdbbbaaafcccccbbbccgaaaaaabbbbbbbbbbdge egccccccccccccccccccccccccccccccccccbbbbaaacccccbbdgaaaaaagcdbbbbbbbbbbbbbbde egcccccccccccccccccccccccccccccccccccbbbaaaacccdbbaaaaaagccccccccdbbbbbbbbbbbbbbbde egcccccccccccccccccccccccccccccccccccdbbdaaagccdaaaaaagcccccccccccccccddbbbbbbbbbbbb egccccccccccccccccccccccccccccccccccccbbbfaaagaaaaaagccccccccccccccccccge edbbbbbbb egccccccccccccccccccccccccccccccccccccbbbcaaaaaaaagccccccccccccccccccccge edb egccccccccccccccccccccccccccccccccccccbbbccaaaaabbcccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccdbbdcfaafbbbcccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccbbbccccdbbdcccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccbbbccccdbbccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccbbbccccbbbccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccdbbdcccbbbccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccbbbcccbbbccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccbbbcccbbbccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccbbbccdbbdccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccbbbcdbbcccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccbbbcbbbcccccccccccccccccccccccge eggggggggggggggggggggggggggggggggggggggggbbbgbbbgggggggggggggggggggggggge eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbdbbbeeeeeeeeeeeeeeeeeeeeeeee ebbbbbb bbbbbd bbbbbe dbbbb bbbb bbbb bbbb ebbd bb ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#073271ff b,#f93093ff c,#bfc9d9ff d,#fa6db2ff e,#fcb6d9ff f,#475f91ff g,#7f93b4ff ``` ```image bbbbb aaaaaf ebbbbbe gaaaaac ebbbbbbbb caaaaa dbbbbbbbbd gaaaac bbbbbbbbbbd aaaaf bbbbe bbbbbe aaaaa ebbbb ebbbbbe aaaaaf dbbbb bbbbbb gaaaaac bbbbb dbbbbbd faaaaa dbbbbe bbbbbe gaaaac ebbbbb bbbbbe aaaaf dbbbbd ebbbbbe aaaaag ebbbbd dbbbbbd caaaaag dbbbbe dbbbbb gaaaaac bbbbb bbbbbe faaaaf bbbbd ebbbbbe caaaaa ebbbb ebbbbbb aaaaf dbbbb dbbbbbd aaaaac ebbbbb dbbbbb faaaaa bbbbbe ebbbbbe gaaaaa ebbbbd bbbbbbe aaaaa dbbbbe ebbbbbb caaaag edbb dbbbbb faaaa bbbbbe aaaaac ebbbbbe faaaaa bbbbbb caaaaag dbbbbb aaaaa dbbbbd caaaag bbbbbe aaaaa bbbbbbe aaaaaf dbbbbbb faaaaf dbbbbb caaaaa dbbbbd faaaac bbbbbbe gaaaac ebbbbbb aaaaa dbbbbb aaaaag dbbbbd gaaaaac bbbbbe caaaaa bbbbbbe faaaa ebbbbbb aaaaf dbbbbb aaaaac ga bbbbbe caaaaag gaaaa bbbbbbe gaaaaac caaaaa ebbbbbb aaaaaf cfaaaaaa dbbbbd faaaa cfaaaaaaaag dbbbbd caaaaf cfaaaaaaaaa bbbbbe aaaaac caaaaaaaaag bbbbbbefaaaaf cfaaaaaaaaa ebbbbb gaaaaa dbbbde gaaaaaaaafc dbbbbd aaaaa dbbbbbbbbdee gaaaaaaaaaf bbbbbdgaaaac bbbbbbbbbbbbbdeegaaaaaaaafc ebbbbbbcaaaag ebbbbbbbbbbbbbfaaaaaaaafg ebbbbbbaaaaac ebbbbbbbbbbbbaaaaaaaaabbbbdde ebbbbbaaaaaf dbbbbe ddbbaaaaaaaaaabbbbbbbbbbdd dbbbbbaaaaag dbbbb cfaaaaaaaafbbbbbbbbbbbbbbbdee bbbbbbaaaaa bbbbd caaaaaaaaag eddbbbbbbbbbbbbbbbb ebbbbbgaaaac bbbbdfaaaaaaaaa eedbbbbbbbbbbbb ebbbbdaaaaa bbbbaaaaaaaaag eedbbbbbbbb dbbbbgaaaaac faaaaaaaaaf ed ebbbb aaaaaf gaaaaaaaafc bbbb caaaaa gaaaaaaaaac dbbb faaaaaaaaaaaaafc ebbbd gaaaaaaaaaab bbbb aaaaaaaabbb bbbbe aaaaaaabbbb bbbbd gag ebbbbd bbbbb ebbbbe dbbbbe dbbbbe ebbbbe dbbbb bbbbb bbbbd dbbbbe ebbbbd ebbbbd ebbbbe dbbbb dbbbb dbbbb dbbbb ebbbb bbbbd bbbb bbbbd bbbbe ebbbbe bbbbd dbbbb bbbbb dbbbb ebbbbd bbbbd bbbbd bbbbe ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#073371ff b,#f93193ff c,#bac6d7ff d,#fa81bdff e,#f5d2e6ff f,#496594ff g,#8397b7ff ``` ```image e aaaf caaaae faaaaa aaaaaag aaa aaa aaf faaa gaag aaac aaa caaa aaa aaaf aaa aaa caaf gaaa faac aaag aaa eaaa aaa faaa aaa aaae gaag caaa aaa aaaf aaa e aaa eg dbb faaa bbbb aaac ebbbbb caaa bbbbbbd aaaf bbbebbbe aaae dbbd dbbbe gaaa bbb dbbb aaag ebbb bbbb aaa bbbe bbbb faaa bbb bbbd aaac dbbd ebbbe caaa bbb dbbb aaaf ebbb dbbb aaa bbbe bbbb gaaa bbb bbbb aaag d bbbd eaaa ebbbe faaa dbbb aaac bbbb caaa bbbb aaaf bbbb aaa gc bbbd faaa caaa ebbbe aaac caaaaac dbbb caaa caaaaaa bbbb aaaf eaaaaaae bbbb aaae eaaaaaae bbbb gaaa aaaaaac bbbd aaag aaaaaac ebbbe aaa faaaaag dbbb faaa faaaaag bbbb aaac faaaaag bbbbcaaa e gaaaaaf bbbdaaaf dbbbbbde gaaaaaf bbbdaaa bbbbbbbbbfaaaaaf ebbbgaaa bbbbbbbbaaaaaabbbd dbbbaaag bbb caaaaaabbbbbbbbbbde bbbbaaa bbdcaaaaaa edbbbbbbbbbbbbbbde bbbfaaa dbbaaaaaae edbbbbbbbbbbbbbbde dbbeaaac daaaaaae edbbbbbbbbbbbb bbbcaaa aaaaaac edbbbbbbb bbb aaaaaaaac edb bbb aaaaabb dbbd gaagbbd bbb ebbd bbb dbbe bbb bbb ebbd bbb bbb bbb bbb bbb dbbe ebbd ebbd dbbe bbb bbb bbb bbb dbbebbb bbbbbb bbbbbd bbbbbe dbbbb bbbb bbbb bbbb ebbd bb ``` <!-- end of image -->
[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#6d6552ff b,#4a3425ff c,#95c697ff d,#b1d7b1ff e,#79a082ff f,#4c8c68ff g,#edf4eeff ``` ```image ff fffg efffc dfffff gfffgff fff ffg fff ffe effd cff dffe gff gfff ffg fff dccccfffcccccccccccccccd fffg cddddeffdddddddddddddddc cffd cdddddffdddddddddddddddc gffe cdddddffcddddddddddddddc fff cdddddfffddddddddddddddc fff cdddddcffddddddddddddddc fffg cddddddffddddddddddddddc cffd cddddddffcdddddddddddddc gffe cddddddfffdddddddddddddc fff cddddddcffdddddddddddddc fff cdddddddffdddddddddddddc effg cdddddddffeddddddddddddc cffd cdddddddeffddddddddddddc gffe cdddddddcffdddddddddaddc fff cddddddddffdddddddcbbbdc fff cddddddddffedddddabbbadc effg cddddddddeffdddebbbbdddc dffd cddddddddcffddbbbbeddddc gffe cdddddddddffabbbbddddddc fff cdddddddddfbbbbcdddddddc fff cddddddddabbbadddddddddc effg cddddddebbbbfddddddddddc dffc cdddddbbbbeffcdddddddddc gfff cdddabbbbddfffdddddddddc fff cdcbbbbcdddeffdddddddddc fff cabbbaddddddffdddddddddc effg dbbbbddddddddffcddddddddc dffc bbbbedddddddddfffddddddddc gfff ebbbbdddddddddddcffddddddddc gccccccccccccccccccccccccccccccfff gbbbbdcddddddddddddffddddddddc gdddddddddddddddddddddddddddddfffg abbba cddddddddddddffedddddddc gddddddddddddddddddddddddddddeffcg dbbbbg cddddddddddddfffdddddddc gdddddddddddddddddddddddddddcffedg bbbbe cddddddddddddcffdddddddc gdddddddddddddddddddddddddddfffddg ebbbb cdddddddddddddffdddddddc gddddddddddddddddddddddddddfffdddg gbbbbd cdddddddddddddffeddddddc gdddddddddddddddddddddddddfffddddg abbba cdddddddddddddeffddddddc gddddddddddddddddddddddddeffcddddg dbbbbg cdddddddddddddcffddddddc gdddddddddddddddddddddddcffedddddg gbbbbe cddddddddddddddffcdddddc gdddddddddddddddddddddddfffddddddg bbbba cddddddddddddddffedddddc gddddddddddddddddddddddfffdddddddg abbbbg cddddddddddddddeffdddddc gdddddddddddddddddddddfffddddddddg cbbbbd cddddddddddddddcffdddddc gddddddddddddddddddddeffcdddddddddbbbbe ggggggggggggggggffdggggg gdddddddddddddddddddcffeddddddddbbbba ffe gdddddddddddddddddddfffdddddddbbbbb cff gddddddddddddddddddfffddddddabbbbd gff gdddddddddddddddddfffdddddebbbbedg ffd gddddddddddddddddeffcdddcbbbbadddg ffe gdddddddddddddddcfffdddbbbbbdddddg dff gdddddddddddddddfffddabbbbdddddddg ff gddddddddddddddfffdebbbbcddddddddg ffd gdddddddddddddfffebbbbeddddddddddg eff gddddddddddddeffbbbbaddddddddddddg dff gdddddddddddcfbbbbbddddddddddddddg ff gdddddddddddbbbbbcdddddddddddddddg ffc gdddddddddebbbbedddddddddddddddddg eff gdddddddcbbbbadddddddddddddddddddg gfe gddddddbbbbbeddddddddddddddddddddg gddddabbbbffdddddddddddddddddddddg gddabbbbfffddddddddddddddddddddddg gebbbbefffdddddddddddddddddddddddg gbbbbadeffcdddddddddddddddddddddddg abbbddcffeddddddddddddddddddddddddg bcdddfffdddddddddddddddddddddddddg gdddfffddddddddddddddddddddddddddg gddfffdddddddddddddddddddddddddddg gdeffcdddddddddddddddddddddddddddg gcffeddddddddddddddddddddddddddddg gfffdddddddddddddddddddddddddddddg fffddddddddddddddddddddddddddddddg fffdddddddddddddddddddddddddddddddg fcdddddddddddddddddddddddddddddddg gddddddddddddddddddddddddddddddddg gddddddddddddddddddddddddddddddddg ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#63584aff b,#4a3324ff c,#aebfb2ff d,#948980ff e,#75a68bff f,#4c8c68ff g,#d9e1dbff ``` ```image cff gfff gffff effff efffff cfffffc gfffffe gfffffe efffffg efffffg cfffffc gfffffe gfffffe efffffg efffffg cfffffc gfffffe gfffffe efffffg efffffg cfffffc gfffffe ffffff efffffg cfffffc cfffffc gfffffe d ffffff cbb efffffg cabbb cfffffc gabbbbb cfffffc gdbbbbbbb gfffffe dbbbbbbbba ffffffg cabbbbbbbac efffffg gabbbbbbbbd cfffffc gdbbbbbbbbdg gfffffe dbbbbbbbbag gfffffe cbbbbbbbbac efffffg cabbbbbbbbc efffffg gabbbbbbbbd cfffffc gdbbbbbbbbdg gfffffe dbbbbbbbbag gfffffe cabbbbbbbac efffffcabbbbbbbbd efffffabbbbbbbbdg cffffabbbbbbbbag gfffabbbbbbbbac gffabbbbbbbbbc efbbbbbbbbbd eabbbbbbbbdg dbbbbbbbbag cbbbbbbbbac cabbbbbbbbd gabbbbbbbbdg gdbbbbbbbbbc dbbbbbbbbbfc cabbbbbbbbafe gabbbbbbbbafff gdbbbbbbbbaffffg dbbbbbbbbafffffc cbbbbbbbbadfffffc cabbbbbbbbdgfffffe gabbbbbbbbdg ffffff bbbbbbbbag efffffg bbbbbbac cfffffc bbbbbc cfffffc bbbd gfffffe bdg ffffff g efffffg cfffffc gfffffe gfffffe efffffg efffffg cfffffc gfffffe gfffffe efffffg efffffg fffffc ffffe fffe fffg ffg gc ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Alright, let's concentrate on the next area. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#736155ff b,#4a3425ff c,#98b2a0ff d,#b8cabeff e,#7b9b84ff f,#4b8c68ff g,#dce3deff ``` ```image dffffc ffffe effff cffffg gffffc ffffe effff dffffd gffffc ffffe effffg dffffd gffffc fffff cffffg dffffd gffffe effff cffffg dffffd ffffe effff cffffg gffffc ffffe effff cffffd gffffc ea ffffe dbbbc effffg gabbbbbg dffffd cbbbbbbba gffffc gabbbbbbbag fffff ebbbbbbbad cffffg dbbbbbbbbe dffffd gabbbbbbbag gffffc cbbbbbbbbc fffff gabbbbbbbag cffffebbbbbbbbd dfffbbbbbbbbe gfbbbbbbbbag cbbbbbbbbc gabbbbbbbag ebbbbbbbbe dbbbbbbbbbfe gabbbbbbbbffff cbbbbbbbbccffffg gabbbbbbbag gffffc ebbbbbbbbd ffffe dabbbbbbbe effff gabbbbbbbag dffffd cbbbbbbbbc gffffc gabbbbbbbag ffffe ebbbbbbbbd effffg abbbbbbbe dffffd bbbbbbad gffffc bbbbbc fffff bbbag cffffg bbd dffffd eg gffffe fffff cffffg dffffd ffffe effff cffffg gffffc ffffe effff cffffd gffffc ffffe effffg dffffd gffffc fffff cffffg dffffd gffffc fffff cffffg dffffd ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#79695eff b,#4b3425ff c,#98ac9cff d,#bdccc1ff e,#6da184ff f,#4b8c68ff g,#e2e8e4ff ``` ```image ff fff efffc dfffff fffgff fff ffg fff ffc cffd cff dffc gff fff ffg fff ffe fff cff cffd ff gffe ffd fff ffe fff dff fffg ff cffd ffd gffe eff fff dff fff ff effg ffc cffd eff gffe gff a fff ffg gbbb fff ffc abbba effg cff dbbbb dffd gff bbbbc gffe ffabbbb fff fbbbbg fff abbba effg dbbbbf dffc bbbbcffd gffe cbbbb ffe fff gbbbbd dff fff abbba ff effg dbbbbg ffd dffc bbbbc fff fff cbbbb dff fff gbbbbd ff fff abbba ffd effg dbbbbg eff dffc bbbbc dff fff cbbbb ff fff gbbbbd ffc fff abbba eff cffd dbbbbg gff gffe gbbbbc ffg fff bbbbb ffc fff abbbbg cff fffg cbbbbd gff cffd dbbbbc ffg gffe gbbbba ffe fff abbbb cff fff abbbbg ff effg dbbbbc ffd cffd gbbbba ffe gffe bbbba dff fff abbbbg ff fff cbbbbd ffd effdbbbbc eff dffbbbba dff gfbbbbb ff bbbbbg ffc cbbbbd eff gbbbba gfe bbbbbc abbbbfe cbbbbfff dbbbbcfff gbbbba effg abbb dffc bg gfff fff fff effg dffc fff fff fff fd ``` <!-- end of image -->
[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#a4cf62ff b,#b9b580ff c,#dbe2bcff d,#94c830ff e,#b1d7b1ff f,#99cb94ff g,#f0f6edff ``` ```image cb dda gdadd ad cdd dd cdd cdg gdd dd gddg da ddg ed ddc dd ddc dc dda ad ada dd add cdg edd gdg dd cdd cddg da cddadd cd gdda dd g de ad dd gdc dd da cdg ggggggggggggggggggggggggggggggggggggggggggggggggddgggg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeefaddddeeeeeeeeeeeeddeeeeeef geeeeeeeeeeeeeeeeeeeeeeaddddddddadeeeeeeeeeeeedaeeeeeef geeeeeeeeeeeeeeeeeadddddddafeeeeedaeeeeeeeeeeadeeeeeeef geeeeeeeeeeefadddddddafeeeeeeeeeeddeeeeeeeeeeddeeeeeeef geeeeeeaddddddddaeeeeeeeeeeeeeeeeadeeeeeeeeeedfeeeeeeef gfadddddddafeeeeeeeeeeeeeeeeeeeeeedfeeeeeeeeddeeeeeeeef dddddafeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeddeeeeeeeef efeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeeefdeeeeeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeddeeeeeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeedaeeeeeeeeef geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeadeeeeeeeeeef ggc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeddeeeeefbbbbbbbbbbbbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebadbbbbbdabbbbbbbbbbbbbbcccgg cb geeeeeeeeeeeeeeeeebbbbbbbbbbbbbbbbbbdabbbddbeeeeeeeeeef bb cfbbbbbbbbbbbbbbbbbbbbbbbbbbfeeeeeeeddeeeddeeeeeeeeeeef bb bbbbbbbbbbbbfeeeeeeeeeeeeeeeeeeeeeeeadeefdeeeeeeeeeeeef bc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeddeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaedaeeeeeeeeeeeef gbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddadeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeeeeeeeeeef cb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddaeeeeeeeeeeeeef be geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeef gbc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef be gfffffffffffffffffffffffffffffffffffffffffffffffffffffe bb gbc bb cbg bb eb bc bb gbg bb cb bb bb gbc c ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#a8d055ff b,#b9b47eff c,#dfe6c3ff d,#94c82fff e,#cfd7a4ff f,#bddc7fff g,#eff3e2ff ``` ```image gdddc fdda addf cdddg fdda ddde edddg addf gdddc eddd addf cdddg fdda ddde cdddg cefada addf gcefaddddddde gdddc gcfaddddddddddddda eddd cefadddddddddddddaffddd addf gcefadddddddddddddafec dddc cdddg gcfaddddddddddddddafcg addf fdda cefadddddddddddddafecg edda ddde gcefadddddddddddddafec gdddg cdddg gcfaddddddddddddddafcg ddde adda cefadddddddddddddafecg fddf gdddc gcefadddddddddddddafec eddd eddd gcfaddddddddddddddafcg gdddg addf adddddddddddddafecg adde gdddc dddddddddafec fdda fdda ddddafcg cddd ddde ecg gdddc cdddg addf fdda fdda gdddc cdddg eddd dddc addf addf gdddc edda fdda gdddg ddde ddde cdddg ggggccceeeebbb fddf ggggccaddaeebbbbbbbbbbbbbbbbbb gggccceefdddbbbbbbbbbdddabbbbbbbbbbbbbbbbbbbb gggcccceeeebbbbbbbbbbbbbbdddbbbbbbbbadddbbbbbbbbbbbbeeeeccccg gggcccceeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddabbbbbbbaddaecccggg gggcccceeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeeaddaggg gdddc ggccceeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeecccgggg cddd fdda bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeccccggg dddc addf bbbbbbbbbbbbbbbbbbbeeeeccccggg addf cdddg bbbeeeeccccggg edda fdda cdddg ddde dddc edddg fddf addf edda gdddc gdddgeddd addeaddf fddadddg cddddda gddddde addddg fdddf cdddc ada geg ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a3ce4cff b,#b9b37eff c,#dce1bfff d,#94c82eff e,#cbd69cff f,#b8d975ff g,#eef1dfff ``` ```image cf dda dada ad edd da cdd cdg gdd dd gddg df ddg ed ddc dd dde de adf fd ada da fda gdg edd dg dd cdd cddg df gddadd ed gddf dd g de fd dd gdc ad da ed dd de fd dd gdc ad da cdg cfdddd dd eaddddddafd df geaddddddfc df fd cfdddddddfg dd dd eaddddddaeg fd gdc geaddddddfc gdg ad dddddfg df da eg dd cdg ed dd dc df da ed gg ad dd ggcceebbbbbbbbbbbbb ggccfdbbbbbdabbbbbbbbbbbbbeeccgg cb ggcceebbbbbbbbbbbbbbbdabbbadccgg bb gcceebbbbbbbbbbbbbbbbbbbbeeccgg dd da eb bbbbbbbbbbeccgg ad cdg bc gdg dd bb df df gbg dded bb fddd eb gdde be dd bb aa gbc bb cb bb eb bc bb gbg bb cb be bb bc bb cb bb eb bc bb gbg bb cb be bb bc c ``` <!-- end of image -->
[ "" ]
The hunt for intersections begins! Let's analyze this image closely. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#1ba958ff b,#914943ff c,#b1d7b1ff d,#a37d70ff e,#55bd7eff f,#93c897ff g,#d9ddd5ff ``` ```image caag aaaae aaaaaa eaaeaaaa aaa gaaaag gaaa aaaaf c aaag aaaae faa aaa eaaaa aaag caae gaaaag aaae aaa aaaaf eaaa aaa aaaae aaa faaf eaaaa aaaf aaa caaaa eaaa aaa aaaac gaaa eaac cbb aaaae aaaf fffffffffffffffffffffffffffffaaafffffffbbbbffffffc eaaaa eaaa ccccccccccccccccccccccccccccfaaaccccccbbbbbdcccccf caaaa gaaa ccccccccccccccccccccccccccccaaafccccccbbbbbbcccccf gaaaac aaac ccccccccccccccccccccccccccccaaaccccccbbbddbbbccccf aaaae aaaa ccfeeccccccccccccccccccccccfaaecccccdbbbccbbbdcccf eaaaa caaa ccaaaccccccccccccccccccccccaaaccccccbbbfcccbbbcccf faaaa aaag ccaaaccccccccccccccccccccccaaacccccdbbbccccdbbbccf gaaaag aaae ccaaaccccccccccccccccccccceaaecccccbbbccccccbbbdcf aaaaf faaa cceaacccccccccccccccccccccaaacccccbbbdcccccccbbbcf aaaaa aaag cceaafccccccccccccccccccccaaaccccfbbbccccccccdbbbf faaaa aaae cceaafcccccccccccccccccccaaafccccbbbfcccccccccbbbb gaaaaeaaa ccfaaecccccccccccccccccccaaaccccdbbbcccccccccccbbbg aaaaaa ccfaaeccccccccccccccccccfaaaccccbbbccccccccccccdbbb aaaae cccaaeccccccccccccccccccaaafcccbbbdcccccccccccccbbbd eaa cccaaaccccccccccccccccccaaacccfbbbcccccccccccccccbbbg cccaaaccccccccccccccccceaaecccbbbfcccccccccccccccdbbb cccaaacccccccccccccccccaaacccdbbbccccccccccccccccfbbbd cccaaacccccccccccccccccaaacccbbbcccccccccccccccccf bbbg cccaaacccccccccccccccceaaeccbbbbcccccccccccccccccf cbbb cccaaaccccccccccccccccaaacccbbbccccccccccccccccccf bbbb cccaaaccccccccccccccccaaaccbbbdccccccccccccccccccf bbbg cccaaacccccccccccccccaaafcdbbbcccccccccccccccccccf gbbb cccaaacccccccccccccccaaaccbbbccccccccccccccccccccf bbbb cccaaaccccccccccccccfaaacdbbbccccccccccccccccccccf bbbg cccaaaccccccccccccccaaafcbbbcccccccccccccccccccccf gbbb ccceaaccccccccccccccaaacbbbdcccccccccccccccccccccf bbbb ccceaafcccccccccccceaaefbbbccccccccccccccccccccccf bbbc ccceaafccccccccccccaaacbbbfccccccccccccccccccccccf gbbb cccfaaeccccccccccccaaadbbbcccccccccccccccccccccccf dbbb cccfaaeccccccccccceaaebbbccccccccccccccccccccccccf bbbc ccccaaecccccccccccaaabbbdccccccccccccccccccccccccf gbbb ccccaaaccccccccccfaaabbbcccccccccccccccccccccccccf dbbb ccccaaaccccccccccaaabbbfcccccccccccccccccccccccccf bbbd ccccaaaccccccccccaaabbbccccccccccccccccccccccccccf gbbb ccccaaacccccccccfaaabbcccccccccccccccccccccccccccf dbbb ccccaaacccccccccaaabbbcccccccccccccccccccccccccccf bbbd ccccaaacccccccccaaabbccccccccccccccccccccccccccccf bbb ccccaaacccccccceaaabdccccccccccccccccccccccccccccf dbbb ccccaaaccccccccaaabbcccccccccccccccccccccccccccccf bbbd ccccaaaccccccccaaabccccccccccccccccccccccccccccccf bbb ccccaaaccccccceaabbccccccccccccccccccccccccccccccf dbbb cccceaacccccccaaabcccccccccccccccccccccccccccccccf bbbd cccceaafcccccfaaadcccccccccccccccccccccccccccccccf bbbg cccceaafcccccaaabccccccccccccccccccccccccccccccccf dbbb cccceaafcccccaaafccccccccccccccccccccccccccccccccf bbbd ccccfaaeccccdaaacccccccccccccccccccccccccccccccccf bbbg ccccfaaeccccaaafcccccccccccccccccccccccccccccccccf cbbb cccccaaecccbaaaccccccccccccccccccccccccccccccccccf bbbd cccccaaaccfaaaeccccccccccccccccccccccccccccccccccf bbbg cccccaaaccbaaacccccccccccccccccccccccccccccccccccf cbbb cccccaaacdbaaacccccccccccccccccccccccccccccccccccf bbbd cccccaaacbaaaecccccccccccccccccccccccccccccccccccf bbbg cccccaaabbaaaccccccccccccccccccccccccccccccccccccf cbbb cccccaaabbaaaccccccccccccccccccccccccccccccccccccf bbbb cccccaaabaaafccccccccccccccccccccccccccccccccccccf bbbg cccccaaabaaacccccccccccccccccccccccccccccccccccccf gbbb cccccaaabaaecccccccccccccccccccccccccccccccccccccf bbbb cccccaaaaaaccccccccccccccccccccccccccccccccccccccf bbbg cccccaaaaaaccccccccccccccccccccccccccccccccccccccf gbbb ccccbaaaaaeccccccccccccccccccccccccccccccccccccccf bbbb cccfbaaaaacccccccccccccccccccccccccccccccccccccccf bbbc cccbbbaaaacccccccccccccccccccccccccccccccccccccccf gbbb ccdbbbaaafcccccccccccccccccccccccccccccccccccccccf dbb ccbbbfaaaccccccccccccccccccccccccccccccccccccccccf d cccbdcaaaccccccccccccccccccccccccccccccccccccccccf ccccccaacccccccccccccccccccccccccccccccccccccccccf cccccccccccccccccccccccccccccccccccccccccccccccccf cccccccccccccccccccccccccccccccccccccccccccccccccf ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#1ba958ff b,#914843ff c,#98d8b4ff d,#ab7470ff e,#5ec188ff f,#cba8a6ff g,#d8e3d9ff ``` ```image aaaaa gbbbbbf aaaae dbbbbbb gaaaa dbbbbbbbf eaaae bbbbbbbbbg aaaag bbbbbbbbbb eaaaa gbbbbb dbbbbb aaaaa dbbbbd bbbbb cccec caaaae fbbbbbg fbbbbd gaaaae eaaaac bbbbbd dbbbbg aaaae caaaae gbbbbf bbbbbd aaaaa aaaaag dbbbb dbbbbbf aaaaa aaaaa fbbbbf bbbbbb eaaaa aaaac bbbbb gbbbbb eaaaa caaaa gbbbbbf bbbbbg eaaaa eaaaa dbbbbb bbbbbd eaaaa aaaaa bbbbbf fbbbbb caaaa eaaaac fbbbbg gbbbb caaaa gaaaaa bbbbb fbbb caaaa caaaae dbbbbb dbb gaaaa aaaaag gbbbbbf gbb gaaaa eaaaac fbbbbbg db gaaaa aaaaag bbbbbd gb aaaa aaaae bbbbbg f aaaa aaaa dbbbb aaaa caaaa fbbbbb aaaa eaaaa bbbbbd aaaa gaaaaa fbbbbbg aaaag aaaaag bbbbb aaaag gaaaaa gbbbbf aaaag eaaaac dbbbd aaaac aaaaag fbbbbg aaaac eaaaac dbbbbb aaaac aaaaa gbbbbbf aaaae aaaae dbbbbd aaaae gaaaa bbbbd aaaae caaaa fbbbbg aaaae aaaaa gbbbbb aaaaa gaaaaa dbbbbb eaaaa aaaaag bbbbbd eaaaa caaaae fbbbbbg eaaaag eaaaac bbbbbf eaaaag aaaaa bbbbb caaaag aaaac dbbbb caaaac gaaaa fbbbbb caaaac caaaegbbbbbd gaaaac gaaaagbbbbbf gaaaae eaaaadbbbbd gaaaae aaaaabbbbbg aaaae caaaaebbbbd aaaae gaaaaabbbbb aaaaa caaaaabbbbb aaaaa aaaaabbbbbf eaaaa aaaaabbbbg eaaaag aaaabbbbf eaaaag gaaaabbbb caaaag eaaaabbbf caaaac caaaaabbb caaaac eaaaabbbd gaaaac gaaaaabbb gaaaac caaaaabbf gaaaae gaaaaabbg aaaae eaaaaabb aaaae aaaaabbb aaaaa aaaabbb eaaaa aaaabbf eaaaa caaaabd eaaaa eaaaabg eaaaa caaaaa caaaa aaaaab caaaa gaaaaad caaaa aaaaad gaaaa aaaaa gaaaa gaaaae gaaaa daaaag aaaa baaaac aaaa dbaaaa aaaa gbaaaaa aaaa dbaaaaa eaaa baaaaac eaaa fbaaaaag eaaag gbbaaaae caaagfbbaaaaa caaacbbbaaaae caaaebbbaaaac caaabbbbaaaa gaaaabbaaaaa gaaaabbaaaaa gaaaabaaaaac aaaabaaaaag aaaaaaaaac aaaaaaaaa faaaaaaaae fbaaaaaaaa gbbaaaaaaae dbbaaaaaaag fbbbaaaaaaa bbbbaaaaaaa gbbbbaaaaaae dbbbbaaaaaac dbbbbdaaaaae gdbbbgaaaaag bbd aaaaa fg eaaac g ``` <!-- end of image --> Oh my, look at that! It's 2 intersections in area A! Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1ba958ff b,#914943ff c,#9ad9b5ff d,#b17f7aff e,#5cc288ff f,#d2b3b1ff g,#dce8deff ``` ```image caag aaaae aaaaaa eaaeaaaa aaa gaaaag gaaa aaaac c aaag aaaaa caa aaa eaaaa aaag caae gaaaag aaae aaa aaaac eaaa aaa aaaae gaaa caae eaaaa aaae aaa caaaag eaaa aaa gaaaac gaaa eaac fbb aaaae aaac aaa bbbb eaaaa aaaa gaaa bbbbbd caaaa gaaa aaag gbbbbbb gaaaac aaac aaa bbbfdbbb aaaae aaaa cce caae fbbb bbbd aaaaa caaa aaa aaa bbbg bbb caaaa aaag aaa aaa dbbb dbbb gaaaag aaae eaa eaac bbb bbbd aaaae caaa eaag aaa bbbd bbbg aaaaa aaag eaag aaa fbbb dbbb eaaaa aaae caac eaac bbbg bbbd gaaaaeaaa caac aaa dbbb bbbg aaaaaag gaac gaaa bbb fbbb aaaae gaae aaag bbbd bbbd eaa aae aaa gbbb bbbg aaa caae bbbf fbbb aaa aaa fbbb bbbb aaa aaa bbb bbbg aaa eaac bbbd fbbb aaa aaa gbbb bbbb aaa gaaa bbbf bbbf aaa eaac fbbb fbbb aaa aaa bbbg bbbb aaa gaaa dbbb bbbf eaa aaag bbb fbbb eaag aaa bbbd bbbb caag caaefbbb bbbf caac aaa bbbg gbbb caac aaadbbb dbbb gaae eaacbbb bbbf gaae aaabbbd gbbb aae gaaabbb dbbb aaa aaabbbf bbbf aaa aaabbb gbbb aaa caaabb dbbb aaa aaabbd bbbd aaa aaabb gbbb aaa caaabf dbbb aaa aaabb bbbd aaa aaabg bbb aaa eaabb dbbb eaa aaab bbbd eaag gaaad bbbg caag aaab dbbb caac aaag bbbd caac daaa bbbg gaae aaag fbbb aae baaa bbbd aaa gaaae bbbg aaa baaa fbbb aaa dbaaa bbbb aaa baaac bbbg aaabbaaa fbbb aaabbaaa bbbb aaabaaag bbbf aaabaaa fbbb aaabaae bbbb aaaaaa bbbf aaaaaa gbbb baaaaae bbbb fbaaaaa bbbf bbbaaaa gbbb dbbbaaac dbbg bbbgaaa d bd aaa aa ``` <!-- end of image -->
[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#1cc2aaff b,#1d9563ff c,#60d0b9ff d,#c5ebe3ff e,#b1d7b1ff f,#48a97dff g,#93ca98ff ``` ```image aaa daaa aaaa aaaaad daaaaac aaadaaa aaaa aaa daaa aaa aaad aaa caaa caad daaa daac aaad aaa caaa aaa aaa aaa aaad aaa caaa caad aaa daac aaae egggggggaaaggggggggggggge caaa geeeeeeeaaaeeeeeeeeeeeeeg aaa geeeeeeeaaaeeeeeeeeeeeeeg aaac geeeeeeeaaaeeeeeeeeeeeeeg caaa geeeeeeecaageeeeeeeeeeeeg aaa geeeeeeegaaceeeeeeeeeeeeg aaac geeeeeeeeaaaeeeeeeeeeeeeg eaaa geeeeeeeeaaaeeeeeeeeeeeeg cc aaa geeeeeeeeaaaeeeeeeeeeeeeg caaaa aaac geeeeeeeeaaaeeeeeeeeeeeeg daaaaaaad daaa geeeefbfecaageeeeeeeeeeegaaaaaaaad aaa geeefbbbbgaaceeeeeeeeeaaaaaaaae aaac geefbbbbbbaaaeeeeeecaaaaaaac daaa gefbbbfbbbbaaeeecaaaaaaaa aaad gfbbbgeebbbbbcaaaaaaaageg aaac fbbbgeeeebbbbbaaaaageeeeg daaa fbbbgeeeeeefbbbbaceeeeeeeg aaad fbbbgeeeeeeeeabbbbeeeeeeeeg aaaa fbbbgeeeeeeeeeeebbbbgeeeeeeg daaa fbbbgeeeeeeeeeeeeebbbbfeeeeeg aaad fbbbdgeeeeeeeeeeeeeefbbbbeeeeg caaa fbbbd geeeeeeeeeeeeeeegbbbbeeeg daaa fbbbd geeeeeeeeeeeeeeeegbbbbgeg aaad fbbbd geeeeeeeeeeeeeeeeeebbbbfg caaa fbbbd geeeeeeeeeeeeeeeeeeebbbbb daaa fbbbd geeeeeeeeeeeeeeeeeeeefbbbb geeeeeeeeeeeeeeeeeeeaaad bbbbd geeeeeeeeeeeeeeeeeeeeegbbbb eeeeeeeeeeeeeeeeeeecaaa bbbbd geeeeeeeeeeeeeeeeeeeeeeebbbbd eeeeeeeeeeeeeeeeeeeaaag bbbbd geeeeeeeeeeeeeeeeeeeeeeegbbbbc eeeeeeeeeeeeeeeeeeaaacg bbbb geeeeeeeeeeeeeeeeeeeeeeeg fbbbb eeeeeeeeeeeeeeeeecaaaeg bbbb geeeeeeeeeeeeeeeeeeeeeeeg ebbbb eeeeeeeeeeeeeeeeeaaaeeg bbbb geeeeeeeeeeeeeeeeeeeeeeeg dbbbbd eeeeeeeeeeeeeeeeaaaceeg bbbb bbbbg eeeeeeeeeeeeeeecaaaeeeg bbbb fbbbg eeeeeeeeeeeeeeeaaaeeeeg bbbb gbf eeeeeeeeeeeeeeaaaceeeegbbbb d dca eeeeeeeeeeeeecaaaeeeeebbbb aaa eeeeeeeeeeeeeaaaeeeeebbbb caadeeeeeeeeeeeeaaaceeeebbbb daaceeeeeeeeeeecaaaeeeebbbb aaaeeeeeeeeeeeaaaeeeebbbbg aaaeeeeeeeeeeaaaaeeebbbbeg aaaeeeeeeeeegaaaeeebbbbeeg caageeeeeeeeaaageebbbbeeeg daaceeeeeeeaaaaeebbbbeeeeg aaaeeeeeegaaaeebbbbeeeeeg aaaeeeeeeaaagebbbbeeeeeeg aaaeeeeeaaaaebbbbeeeeeeeg caaeeeegaaaebbbbeeeeeeeeg daaceeeaaagbbbbeeeeeeeeeg aaaeeaaaabbbbeeeeeeeeeeg aaaeeaaabbbbeeeeeeeeeeeg aaaeaaabbbbeeeeeeeeeeeeg caacaabbbbeeeeeeeeeeeeeg eaaaabbbbeeeeeeeeeeeeeeg aaabbbbeeeeeeeeeeeeeeeg aabbbbeeeeeeeeeeeeeeeeg abbbbggggggggggggggggge dbbbb dbbbb dbbbf dbbbf bbbf dbf d ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#1bc1a9ff b,#1c9563ff c,#6ed8c9ff d,#9cdacbff e,#c7ede6ff f,#73bd9fff g,#40cbb7ff ``` ```image aaa caaa daaaa aaaaa caaaaa eaaaaaa aaaaaag caaaaaae eaaaaaad gaaaaag caaaaaae eaaaaaac gaaaaag caaaaaae eaaaaaac gaaaaag caaaaaae eaaaaaac gaaaaag daaaaaae eaaaaaac gaaaaaa daaaaaae d eaaaaaac db gaaaaaa dbb daaaaaad dbbb eaaaaaac dbbbb e gaaaaaa dbbbbb d daaaaaad dbbbbbb c aaaaaag dbbbbbbb g caaaaaae dbbbbbbbf a eaaaaaad fbbbbbbbf ae aaaaaag fbbbbbbbf ad caaaaaae fbbbbbbbf ac eaaaaaad fbbbbbbbf ag gaaaaag fbbbbbbbf aa caaaaaae fbbbbbbbf aae eaaaaaad fbbbbbbbf aad gaaaaag fbbbbbbbf aac caaaaaae fbbbbbbbd aag eaaaaaac fbbbbbbbd aaa gaaaaag fbbbbbbbd aaae caaaaaae fbbbbbbbd aaad eaaaaaac fbbbbbbbd aaac gaaaaag fbbbbbbbd aaag daaaaaae fbbbbbbbd aaaa eaaaaaac fbbbbbbbd aaaae gaaaaag fbbbbbbbd aaaad daaaaaaefbbbbbbbd aaaac eaaaaaacfbbbbbbbd aaaag gaaaaaafbbbbbbbd aaaaa daaaaaabbbbbbbbd aaaaae eaaaaaabbbbbbbbd aaaaad gaaaaabbbbbbbbd aaaaac daaaaabbbbbbbbe aaaaageaaaaabbbbbbbbe gaaaaagaaaabbbbbbbbe caaaaaaaaabbbbbbbbe daaaaaaaabbbbbbbbe eaaaaaaabbbbbbbbe aaaaaabbbbbbbbe gaaaabbbbbbbbe caaabbbbbbbbe daabbbbbbbbe ``` <!-- end of image --> There is no intersection present within area A. Now, let's scrutinize the next spot. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#1bc1a9ff b,#1d9564ff c,#84d6c5ff d,#acdfd1ff e,#d0eee7ff f,#5fb491ff g,#4dcfbcff ``` ```image gaaaaa gaaaaa caaaaae daaaaad eaaaaac aaaaag gaaaaa gaaaaa caaaaae daaaaad eaaaaac aaaaag gaaaaa gaaaaa caaaaae daaaaad eaaaaac aaaaag gaaaaa ede gaaaaa cbbbf caaaaae fbbbbbfe daaaaad ec fbbbbbbbbeeaaaaac ecgaa fbbbbbbbbbbcaaaaag dgaaaaa fbbbbbbbbbbbbbaaaaa dgaaaaaaaa fbbbbbbbbbbbbbbbaaaa ecaaaaaaaaaaa fbbbbbbbcfbbbbbbbbaaae ecaaaaaaaaaaaaaa fbbbbbbbc fbbbbbbbbaad ecgaaaaaaaaaaaaaagc fbbbbbbbd cbbbbbbbbbcdgaaaaaaaaaaaaaaace fbbbbbbbd dbbbbbbbbbaaaaaaaaaaaaaace fbbbbbbbd ebbbbbbbbbaaaaaaaaaagd fbbbbbbbd fbbbbbbbbaaaaaagd bbbbbbbd fbbbbbbbbaagce bbbbbbd eabbbbbbbbf bbbbbd gabbbbbbbbf bbbbd dcbbbbbbbbbe bbbd fbbbbbbbbd bbd cbbbbbbbbc bd dbbbbbbbbf d ebbbbbbbbfe fbbbbbbbbe fbbbbbbbbd dbbbbbbbbf ebbbbbbbbf efbbbbbbbbe fbbbbbbbbd cbbbbbbbbc dbbbbbbbb ebbbbbbb fbbbbb fbbbb dbbb dbb ef ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area B. Answer: A: 0; B: 2; 0 + 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1bc1a9ff b,#1d9564ff c,#84d9c9ff d,#afe4daff e,#d4f0eaff f,#56b08bff g,#42ccb8ff ``` ```image aaa daaa aaaa gaaaae daaaaac aaaeaag gaag aaa eaaa aaa aaad gaa gaag caae eaaa eaac aaad aag gaaa aaa eaaa aaa aaad gaa gaaa caae aaa eaac aaac aag caaa aaa aaa aaa aaac gaa caaa caae aaa eaac aaac aag caaa aaa gg aaa aaa caaaa aaag gaa daaaaaaae daaa cbf caae daaaaaaaad aaae fbbbbeaac egaaaaaaac aaag fbbbbbbaag gaaaaaaac daaa fbbbcbbbbaa caaaaaaag aaae fbbbc bbbbbdaaaaaaage gaag fbbbd bbbbbaaaaad eaaa fbbbd fbbbbac aaae fbbbd abbbb gaag fbbbd bbbbd eaaa fbbbd bbbbf aaad fbbbd fbbbb gaag fbbbd cbbbb eaaa fbbbe ebbbbe aaad fbbbe bbbbc gaaa bbbbe bbbbf eaaa bbbbe fbbbb aaad bbbbe dbbbb caaa bbbbe bbbbd aaa bbbbe bbbbf aaac bbbbe fbbbb caaa bbbbe cbbbb aaa bbbb ebbbbe aaac bbbb bbbbc caaa bbbb bbbbc aaa bbbb fbb aaac bbbb d dga caaa bbbb aaa aaae bbbb gaa aaag bbbb daac daaa bbbb aag aaae bbbb aaa aaag bbbb aaa daaa bbbb gaa aaae bbbb daac gaag bbbb aag eaaa bbbb aaa aaae bbbb aaa gaag bbbb gaa eaaa bbbb daad aaadbbbb aag gaaabbbb aaa eaaabbbb aaa aaabbbb gaagaabbbb daaaabbbb aaabbbb aabbbb abbbb ebbbb ebbbb ebbbb ebbbb bbbf ebf e ``` <!-- end of image -->
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Let's examine this image for potential line intersections. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#d0ef0dff b,#df7e7dff c,#f0f1b1ff d,#b1d7b0ff e,#f11f3bff f,#d4ee57ff g,#9aca94ff ``` ```image ddddddddddddddddd ddddddddddddddddd dddfadddddddddddd ddaaagbdddddddddd c ddaaaeeeeebdddddd faf ddaaeeeeeeeeeebdd caaaa ddfaeeeeeeeeeeeeeec gddddddddddddddddddddgaaaa ddgaeeebbeeeeeeeeeeeeec gddddddddddddddddddddaaaa dddaeeegddddbeeeeeeeeeeeeeb gdddddddddddddddddddaaaac dddaeeedddddddddgbeeeeeeeeeeeeb gddddddddddddddddddaaaaf dddaeeedddddddddd cbeeeeeeeeeeeeb gdddddddddddddddddfaaaag dddaeeedddddddddd cbeeeeeeeeeeeeb gddddddddddddddddgaaaadg dddfeeedddddddddd cbeeeeeeeeeeeeb gddddddddddddddddaaaaddg dddfeeedddddddddd cbeeeeeeeeeeeeb gdddddddddddddddaaaadddg dddgeeedddddddddd beeeeeeeeeeeeb gddddddddddddddaaaaddddg dddbeeedddddddddd beeeeeeeeeeeeb gdddddddddddddaaaafddddg dddbeeedddddddddd beeeeeeeeeeeebddddddddddddfaaaadddddg dddbeeegddddddddd beeeeeeeeeeeebdddddddgaaaaddddddg dddeeeefddddddddd beeeeeeeeeeeebdddaaaadddddddg dddeeebaddddddddd beeeeeeeeeeeeeaaddddddddg dddeeeaaddddddddd gddbeeeeeeeeeeeebddddddg dddeeeaaddddddddd gddddddbeeeeeeeeeeeebddg dddeeeaaddddddddd gdddddddfaabeeeeeeeeeeeeb dddeeeaaddddddddd gdddddddaaaadddbeeeeeeeeeec dddeeeaafdddddddd gddddddaaaaddddddddbeeeeee dddeeeaaadddddddd gdddddaaaadddddddddddddbee dddeeeaaadddddddd gddddaaaagdddddddddddddg dddeeeaaadddddddd gdddaaaafddddddddddddddg ddbeeeaaadddddddd gddfaaaadddddddddddddddg ddbeeeaaadddddddd gddaaaaddddddddddddddddg ddbeeeaaafddddddd gdaaaadddddddddddddddddg ddeeebaaafddddddd gdaaaddddddddddddddddddg ddeeebfaaaddddddd gdaaaddddddddddddddddddg ddeeebdaaaddddddd gdaaaddddddddddddddddddg ddeeeddaaaddddddd gdaaaddddddddddddddddddg ddeeeddaaaddddddd gdaaaddddddddddddddddddg ddgbbddaaagdddddd dgaaaggggggggggggggggggd dddddddaaafdddddd aaa dddddddfaaadddddd aaa dddddddgaaadddddd aaf aaa ddddddddaaadddddd aaaaf aaa ggggggggaaagggggg aaaaaac aaa aaa caaaaaaaac aaa aaac caaaac aaaa aaa faaf faaaa aaaa aaa caaa aaaaa aaaa aaa aaa aaaaa caaaa aaa aaa aaaaa faaaa aaa aaaaaaaf faaaf aaa aaaaaac aaaaf aaa aaaaac aaaac caaa faaa aaaa caaa aa aaaa caaa aaaa caaa caaaa caaa caaaa caaa faaaa caaa faaaf caaa aaaac faaa aaaac faaa aaaa faaf aaaa faaf aaaa faaf caaaa faaf caaaa faaf faaaf faaf aaaaf aaaf aaaac aaac aaaac aaac aaaa aaac aaaa aaac caaaa aaac caaaa aaac faaaa aaac faaaf aaac aaaac aaa aaaac aaa aaaa aaa aaaaaaa aaaaaa caaaaa caaaa faaa faa ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#d0ef0dff b,#f66d80ff c,#eef8a9ff d,#f9b7beff e,#f11e3bff f,#dff15cff g,#e18223ff ``` ```image ccfff faaaaaf faaaaaaddd caaaaageeeebbd caaaageeeeeeeeebbd aaaageeeeeeeeeeeeeebd aaaageeeeeeeeeeeeeeeeeebd faaaeeeeeeeeeeeeeeeeeeeeeeebd faaaeeeeeeeeeeeeeeeeeeeeeeeee caaaeeeeeeeeeeeeeeeeeeeeeeeee caaaeeeeeed dbbeeeeeeeeeeeeee aaaeeeeeed dbbeeeeeeeeee aaaeeeeeed dbbeeeeee aageeeeee dbbee fageeeeee d fageeeeee cageeeeee cageeeeee ageeeeeb aeeeeeeb feeeeeeb feeeeeeb ceeeeeed ceeeeeed deeeeeed deeeeeef deeeeeef deeeeeea deeeeeea beeeeeea beeeeeeac beeeeegac beeeeegaf eeeeeegaf eeeeeegaa eeeeeegaa eeeeeegaac deeeeeegaac deeeeeeaaaf deeeeeeaaaf deeeeeeaaaa deeeeeeaaaa beeeeeeaaaac beeeeeeaaaac beeeeegaaaac beeeeegaaaaf eeeeeegaaaaf eeeeeegaaaaa eeeeeegaaaaa eeeeeegaaaaac deeeeeeaaaaaac deeeeeeaaaaaaf deeeeeefaaaaaf deeeeeefaaaaaa beeeeeecaaaaaa beeeeeecaaaaaac beeeeeb aaaaaac beeeeeb aaaaaaf beeeeeb faaaaaf eeeeeeb faaaaaa eeeeeed caaaaaa eeeeeed caaaaaa eeeeeed caaaaaac deeeeeed aaaaaac deeeeeed aaaaaaf deeeeee faaaaaf deeeeee faaaaaa beeeeee caaaaaa ddddbb caaaaaac aaaaaac aaaaaaf faaaaaf faaaaaa caaaaaa caaaaaa aaaaaac aaaaaac aaaaaaf ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Now, let's turn our attention to the next spot. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#d0ef0dff b,#f15d5fff c,#eaf898ff d,#f89daaff e,#f11e3bff f,#dcf04bff g,#f8f1d9ff ``` ```image ga gaa faa faaa caaaa caaaaa gaaaaaa gaaaaaaa faaaaaaa faaaaaaaf caaaaaaaf caaaaaaaag gaaaaaaaag gaaaaaaaac faaaaaaac faaaaaaaf caaaaaaaf caaaaaaaag gaaaaaaaag gaaaaaaaac faaaaaaac faaaaaaaf dd caaaaaaaf eeebdd caaaaaaaag eeeeeeebddg gaaaaaaaag eeeeeeeeeeebddg gaaaaaaaac eeeeeeeeeeeeeeebddg faaaaaaac eeeeeeeeeeeeeeeeeeebbdfaaaaaaaf eeeeeeeeeeeeeeeeeeeeeeeebaaaaf ddbeeeeeeeeeeeeeeeeeeeeeeeebdg ddbeeeeeeeeeeeeeeeeeeeeeeeebdg ddbeeeeeeeeeeeeeeeeeeeeeeeebdg ddbeeeeeeeeeeeeeeeeeeeeeeeebdg fbeeeeeeeeeeeeeeeeeeeeeeeeebd caaaaabbeeeeeeeeeeeeeeeeeeeeee caaaaaaaaggdbeeeeeeeeeeeeeeeeee gaaaaaaaag gdbeeeeeeeeeeeeee gaaaaaaaac gdbeeeeeeeeee faaaaaaac gdbeeeeee faaaaaaaf gdbee caaaaaaaf g caaaaaaaag gaaaaaaaag gaaaaaaaac faaaaaaac faaaaaaaf caaaaaaaf caaaaaaaag gaaaaaaaag faaaaaaac gaaaaaaac caaaaaaf caaaaaag caaaaaag caaaaaa caaaaaa caaaaaa caaaaaa caaaaaa caaaaaa caaaaaa caaaaaa ``` <!-- end of image --> Aha! I've found 1 intersection inside area B! Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d0ef0dff b,#f2636aff c,#e8f78eff d,#f89eabff e,#f11e3bff f,#dbf349ff g,#f7f0d2ff ``` ```image gcf aaagd c aaaeeeebd caf aaeeeeeeeeebd gaaaa faeeeeeeeeeeeeebd aaaa gaeeeddbeeeeeeeeeeeed aaaa aeeeg dbeeeeeeeeeeeed aaaag aeee gbeeeeeeeeeeeed faaac aeee gbeeeeeeeeeeeed caaaf aeee gbeeeeeeeeeeeed gaaaa feee gbeeeeeeeeeeeed aaaa ceee gbeeeeeeeeeeeed aaaa geee gbeeeeeeeeeeeed aaaag deee gbeeeeeeeeeeeed faaac deee gbeeeeeeeeeeeed caaaf beeeg gbeeeeeeeeeeeed gaaaa beebf beeeeeeeeeeeebg aaaa eeeba deeeeeeeeeeeebaa eeeaa deeeeeeeeeeeebg eeeaa deeeeeeeeeeeebg eeeaa caabeeeeeeeeeeeebg eeeaag gaaaa deeeeeeeeeed eeeaac aaaa deeeeee eeeaaf aaaa dee eeeaaa aaaag geeeaaa faaac deeeaaa caaaf deeeaaa gaaaa beebaaac aaaa beebfaaf aaag eeedcaaa aaa eeedgaaa aaa eeeg aaa aaa eee aaa aaa gdd aaag aaa aaac aaa faaf aaa caaa aaf aaa aaa aaaaf aaa aaa aaaaaac aaa aaag gaaaaaaaag aaa aaac caaaac aaaa aaa faaf faaaag aaaa aaa caaa aaaaa gaaaa aaa gaaa aaaaa caaaa aaa aaa aaaaa caaaa aaa aaaaaaaf faaaf aaa aaaaaac aaaac gaaa aaaaag aaaac gaaa caaag aaaag gaaa aa aaaa gaaa aaaa gaaa gaaaa caaa caaaa caaa faaaf caaa faaaf caaa aaaac caaa aaaag caaf aaaag faaf aaaa faaf gaaaa faaf gaaaa faaf caaaa faaf faaaf faac aaaac aaac aaaac aaac aaaag aaac aaaa aaac aaaa aaac gaaaa aaag caaaa aaag caaaa aaag faaaf aaag aaaac aaag aaaag aaa aaaagaaa aaaaaaa gaaaaaa gaaaaa caaaa faaa faa ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad106eff b,#eccda2ff c,#c88dadff d,#f2ddd9ff e,#b1d7b1ff f,#97c896ff g,#b94a8aff ``` ```image d dag aag gaa aac aaa bd caa bbb aag bbb gaa bbbbd daad bbbbb aaa bbbdbb caa bbd bb aac bbb bbd aaa bbd bbb daad dbb bb aag bbd bb gaa dbb bbd aac bbd dbb aaa dbb bb caa bbd bb aag dbb bbb gaa bbd dbb daad dbb bb aaa bbb bbd caa bb bbb aac bbb bb aaa bb bb daad bbb bbd aag cd bb dbb gaa gaa bbb bb aac aad bb bbb efffffffffffffffffaaaffe aaa bbb dbbbb feeeeeeeeeeeeeeeecaaeeef daa bbd bbbbd feeeeeeeeeeeeeeeeaageeef eeeeaageeeeeeeebbbeeeef bbbb feeeeeeeeeeeeeeeaaaeeeef eeeecaaeeeeeeeebbeeeeef dbbbbfeeeeeeeeeeeeeefaafeeeef eeeeeaageeeeeebbbeeeeef bbbbeeeeeeeeeeeeeeaaaeeeeef eeeeegaaeeeeeebbeeeeeef dbbbbeeeeeeeeeeegaaeeeeeef eeeeeeaaceeeebbbeeeeeef bbbbbeeeeeeeeeaageeeeeef eeeeeegaaeeeebbeeeeeeef febbbbeeeeeeeaaaeeeeeeef eeeeeeeaaeeebbbeeeeeeef feeebbbbeeeecaaeeeeeeeef eeeeeeeaaaeebbbeeeeeeef feeeebbbbeeeaageeeeeeeef eeeeeeeeaaeebbeeeeeeeef feeeeeebbbbgaaeeeeeeeeef eeeeeeeeaagbbbeeeeeeeef feeeeeeebbbaaceeeeeeeeef eeeeeeeecaabbeeeeeeeeef feeeeeeeeeaaabeeeeeeeeef eeeeeeeeeaagbeeeeeeeeef feeeeeeeecaabbbbeeeeeeef eeeeeeeeegaaeeeeeeeeeef feeeeeeeeaagebbbbbeeeeef eeeeeeeeebaaceeeeeeeeef feeeeeeeaaaeeeebbbbeeeef eeeeeeeeebgaaeeeeeeeeef feeeeeefaafeeeeeebbbbeef eeeeeeeebbbaafeeeeeeeef feeeeeeaaaeeeeeeeebbbbef eeeeeeeebbeaaaeeeeeeeef feeeeegaaeeeeeeeeeeebbbb eeeeeeebbbeeaaeeeeeeeef feeeeeaaceeeeeeeeeeeebbbbb eeeeeeebbeeeaaaeeeeeeef feeeeaaaeeeeeeeeeeeeeeebbbbd eeeeeebbbeeecaaeeeeeeef feeecaaeeeeeeeeeeeeeeeefdbbbb eeeeeebbeeeeeaageeeeeef feeeaageeeeeeeeeeeeeeeef bbbbd eeeeebbbeeeeecaaeeeeeef feegaaeeeeeeeeeeeeeeeeef bbbb eeeeebbeeeeeeeaaceeeeef feeaaceeeeeeeeeeeeeeeeef dbbbb eeeebbbeeeeeeegaaeeeeef efaaaffffffffffffffffffe bbbbd eeeebbeeeeeeeeeaafeeeef caa bbbb eeebbbeeeeeeeeeaaaeeeef aac dbbbb bbd daad aaa bbb dbb aag daad d bd daa aag aag gaa caa aac aac aaa caa caa aad aag gaa gaa aa daad aaa aaa daa caa aag aac caac aaa aaaad daad gaaaa aag aaaac gaa daaaad aac caaaa aaa gaaaaa aaag dg ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad106eff b,#edcda2ff c,#cd6fa6ff d,#f2dcccff e,#e0a5c5ff f,#f9eeeaff g,#bd3f87ff ``` ```image faaaag bbbbbf caaaae fbbbbd daaaag bbbbbf gaaaad fbbbbd eaaaac bbbbbf gaaaaf fbbbbd eaaaac dbbbbf aaaaaf fbbbbb caaaae dbbbbf faaaag fbbbbb caaaae dbbbbf daaaag fbbbbb gaaaad dbbbbd eaaaac bbbbb gaaaaf dbbbbd eaaaac bbbbb aaaaaf dbbbbd caaaae bbbbb faaaaa dbbbbd caaaae bbbbb daaaagdbbbbd gaaaaebbbbf eaaaagbbbd gaaaabbbf eaaaagbd aaaaabf caaaac baaaaa fbgaaaae dbbaaaag fbbbgaaaae dbbbeaaaag fbbbbbgaaaad dbbbbfeaaaac fbbbbb gaaaaf dbbbbd eaaaac fbbbbb faaaaa dbbbbd caaaae bbbbb faaaag dbbbbd caaaae bbbbb daaaag dbbbbd gaaaad bbbbb eaaaac dbbbbd gaaaaf bbbbbf eaaaac dbbbbd faaaaaf bbbbbf caaaae fbbbbd faaaag bbbbbf caaaae fbbbbd daaaag bbbbbf gaaaad fbbbbd eaaaac ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! I'm ready to analyze the next area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#ad106eff b,#edcda1ff c,#d078aaff d,#f2dbbcff e,#e3b0ceff f,#f6e7e4ff g,#bc3e88ff ``` ```image caaaag eaaaaaf gaaaac caaaag faaaaae caaaac eaaaaaf gaaaae caaaag f faaaaaf bd gaaaac bbbf eaaaaa bbbbd faaaaae bbbbbbf caaaag bbbbbbbdf eaaaaaf fdbbbbbbbd gaaaac fbbbbbbbbf caaaag dbbbbbbbdf faaaaae fdbbbbbbbd gaaaac fbbbbbbbbf eaaaaaf dbbbbbbbd gaaaae fbbbbbbbbf caaaag dbbbbbbbdf faaaaaf fdbbbbbbbdgaaaac fbbbbbbcaaaag dbbbbaaaaae fdbgaaaagd eaaaaabbbf gaaaacbbbbd caaaagbbbbbbbf faaaaaedbbbbbbbdf gaaaac fdbbbbbbbd eaaaaaf fbbbbbbbbf aaaaae dbbbbbbbdf caaaag fdbbbbbbbd faaaaaf fbbbbbbbbf gaaaac dbbbbbbbd eaaaag fbbbbbbbbf faaaaae dbbbbbbbd caaaag fdbbbbbb eaaaaaf fbbbbb gaaaac dbbb caaaag fdb faaaaae f gaaaac eaaaaaf faaaaae caaaag faaaaaf gaaaac eaaaag faaaaae ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ad0f6eff b,#eecda2ff c,#ca67a1ff d,#f1d9cfff e,#dea0c5ff f,#f8edeaff g,#ba3785ff ``` ```image f dag aag caa aae aaa bf eaaf bbb aac bbb gaa bbbbf faad bbbbb aaa bbbfbb caa bbf bb aac dbb bbd aaa bbf dbb daaf dbb fbb aag bbd bb caa dbb bbd faae bbd dbb aaa dbb bb eaa bbd bbf aac fbb bbb gaa bbd fbb faad fbb bb aaa bbb bbf caa fbb bbb aac bbb fbb aaa fbb bb eaaf bbb bbd aag ee bb dbb gaa gaa bbb bb faae aaf bb bbbf aaa aaa bbb fbbbb eaa faa bbf bbbbd aac aag bbb fbbbb gaa eaa bbf dbbbb daad aac dbb bbbbf aag caa bbf fbbbb caa aae dbb bbbbd aae gaa bbd bbbbf aaa aaf dbb dbbbb eaaf aaa bbd bbbbd aag faa dbb fbbbbgaa aagbbd dbbaae daabb aaabf aacd eaabbbb caa aac bbbbd baae gaa bbbbf fbgaa daad dbbbb bbbaad aag bbbbd fbb gaa caa fbbbb bbb faa aae dbbbb bb aag aaa bbbbf bbb daa eaaf fbbbb bb aac aag bbbbd bbb eaa gaa bbbbf bbf aae faae dbbbb bbb caa aaa bbbbd bbf aad caa fbbbb bbb gaa aac dbbbb bbf faaf aaa bbb dbb aag daaf f df daa aag aac caa eaa aae aae aaa caa eaaf aad aac gaa gaa aaf faad aag aaa daa caa aac aac eaae aaa aaaaf daaf caaag aag aaaac caa daaaae faae eaaaafaaa gaaaaa faaac dc ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#097305ff b,#a77eeeff c,#8fc38eff d,#eef3f0ff e,#bbade4ff f,#4e9a4dff g,#b0d6b0ff ``` ```image dd daaa caaaac faaaaaa faaaaaaac faagfaaaaa aaag daaaaac aaad faaaaa aaad daaaaac aaa faaaaa aaa daaaaac aaa caaaaa aaa daaaaac aaa caaaaad aaa daaaag aaa caa aaa aaa daaa daaa gaaa gaaf caaf caaf faac faac faag aaag aaad aaad aaa aaa aaa aaa aaa aaa dgcfag aaa dgcfaaaaaaaaaaa aaa dcccccccccccccccccccccccccccd dgcfaaaaaaaaaaaaaaaaaaaa aaa dgggggggggggggggggggggcffaaaaaaaaaaaaaaaaaaaaaaaaaafaaadaaa dgggggggggggccffaaaaaaaaaaaaaaaaaaaaaaaaaafcg aaagaaa dggcffaaaaaaaaaaaaaaaaaaaaaaaaaaafcgd faafaaa aaaaaaaaaaaaaaaaaaaaaaaaaaffccgd ddddddddfaaaaafddddddddd aaaaaaaaaaaaaaaaaffcgggggggggggd dcgggggggfaaaaafggggggggcd aaaaaaaffcgggggggggggggggggggggd dggggggggcaaaaafgggggggggd d bbbbbbbbbeggggggggggggggggggd dggggggggcaaaaafgggggggggd bbbbbbbbbbbbbgggggggggggggggd dgggggggggaaaaafgggggggggd dbbbggebbbbbbbbbbegggggggggggd dgggggggggaaaaacgggggggggd dbbbgggggebbbbbbbbbbbggggggggd dgggggggggaaaaacgggggggggd ebbegggggggggebbbbbbbbbbeggggd dgggggggggaaaaacgggggggggd ebbeggggggggggggebbbbbbbbbbbgd dgggggggggaaaaaggggggggggd ebbeggggggggggggggggebbbbbbbbbbe dgggggggggaaaaaggggggggggd bbbgggggggggggggggggggggbbbbbbbbbbbd dgggggggggaaaaaggggggggggd bbbggggggggggggggggggggggggebbbbbbbbbbe dgggggggggaaaaaggggggggggd bbbggggggggggggggggggggggggggddbbbbbbbbbbbd dgggggggggfaaaaggggggggggd bbbggggggggggggggggggggggggggd ebbbbbbbbbbeggggggggfaaaaggggggggggd bbbggggggggggggggggggggggggggd dbbbbbbbbbbbgggggfaaaaggggggggggd bbbggggggggggggggggggggggggggd ebbbbbbbbbbegcaaaaggggggggggd bbbggggggggggggggggggggggggggd dbbbbbbbbbbaaaaggggggggggd bbbggggggggggggggggggggggggggd dgggebbbbbbaaaaegggggggggd dbbbggggggggggggggggggggggggggd dgggggggbbbaaaabbbbegggggd dbbbgggggggggggggggggggggggggcd dggggggggggaaaabbbbbbbeggd ebbedddddddddddddddddddddddddd dggggggggggaaaabbbbbbbbbbbd ebbe dggggggggggaaaagggebbbbbbbbbbed ebbd dggggggggggaaafgggggggbbbbbbbbbbbd bbbd dggggggggggaaafggggggggggebbbbbbbbbbd bbbd dggggggggggaaafggggggggggd debbbbbb bbb dggggggggggfaafggggggggggd ebbb bbb dggggggggggcaagggggggggggd d bbb dggggggggggggggggggggggggd bbb dggggggggggggggggggggggggd bbb dggggggggggggggggggggggggd bbb dggggggggggggggggggggggggd dbbb dggggggggggggggggggggggggd dbbb dggggggggggggggggggggggggd ebbe dggggggggggggggggggggggggd ebbe dggggggggggggggggggggggggd ebbe dcggggggggggggggggggggggcd bbbd dddddddddddddddddddddddd bbbd bbb bbb ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#087304ff b,#a77deeff c,#73a877ff d,#e4e0f1ff e,#c8aef4ff f,#3c8d3cff g,#b0d1afff ``` ```image d ddggccffaaa ddggccfffaaaaaaaaaaaa dggcccffaaaaaaaaaaaaaaaaaaaaaa dgggccffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddggccffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa cffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffcccggd aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffccggdd aaaaaaaaaaaaaaaaaaaaaaaaaaffccgggd aaaaaaaaaaaaaaaaffcccggd aaaaaaafffccgdd cccbbbbbbbbbbbed bbbbbbbbbbbbbbbbbeed bbbbbbbbbbbbbbbbbbbbbed bbbbbbbbbbbbbbbbbbbbbbbbeed bbbbbdebbbbbbbbbbbbbbbbbbbbbed bbbbb debbbbbbbbbbbbbbbbbbbbeed bbbbb deebbbbbbbbbbbbbbbbbbbbed bbbbb debbbbbbbbbbbbbbbbbbbbeed bbbbe deebbbbbbbbbbbbbbbbbbbbed bbbbe debbbbbbbbbbbbbbbbbbbbeed bbbbe deebbbbbbbbbbbbbbbbbbbbed bbbbe debbbbbbbbbbbbbbbbbbbbee bbbbe deebbbbbbbbbbbbbbbbbb bbbbd debbbbbbbbbbbbbbb bbbbd deebbbbbbbbbbb bbbbd debbbbbbbb bbbbd deebbbb bbbb deb bbbb bbbb bbbb bbbe bbbe bbbe bbbe bbbe bbbd bbbd bbbd bbbd bbb bbb bbb ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Onward to the next region of interest. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#087304ff b,#a67deeff c,#74af72ff d,#e2ddf0ff e,#c6acf4ff f,#3a8e39ff g,#afd0afff ``` ```image caaaaafaaaaaf caaaaaaaaaaaf caaaaaaaaaaaf gaaaaaaaaaaaf gaaaaaaaaaaac gaaaaaaaaaaac daaaaaaaaaaac aaaaaaaaaaac aaaaaaaaaaac aaaaaaaaaaag faaaaaaaaaag faaaaaaaaaag caaaaaaaaaag caaaaaaaaaag caaaaaaaaaad caaaaaaaaaad gaaaaaaaaaad gaaaaaaaaaa gaaaaaaaaaa daaaaaaaaaa aaaaaaaaaf aaaaaaaaaf aaaaaaaaaf faaaaaaaaf faaaaaaaaf caaaaaaaac bed caaaaaaaac bbbbed caaaaaaaac bbbbbbbbed gaaaaaaaac bbbbbbbbbbbedd gaaaaaaaac bbbbbbbbbbbbbbbed gaaaaaaaag bbbbbbbbbbbbbbbbbbegaaaaaaaag ebbbbbbbbbbbbbbbbbbbaaaaaaaag debbbbbbbbbbbbbbbaaaaaaaag deebbbbbbbbbbbaaaaaaaabed debbbbbbbbaaaaaaaabbbbeed deebbbbfaaaaaaabbbbbbbbed debfaaaaaaabbbbbbbbbbbeed caaaaaaabbbbbbbbbbbbbbbed caaaaaaabbbbbbbbbbbbbbbbbbee caaaaaaaeebbbbbbbbbbbbbbbbbb gaaaaaaa debbbbbbbbbbbbbbb gaaaaaaf deebbbbbbbbbbb gaaaaaaf debbbbbbbb daaaaaaf deebbbb daaaaaaf deb aaaaaac aaaaaac faaaaac faaaaac faaaaac caaaaag daaaaf dcfc ``` <!-- end of image --> Aha! I've found 2 intersections inside area B! Answer: A: 0; B: 2; 0 + 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#097305ff b,#a77deeff c,#7fb57eff d,#e4e0f1ff e,#c7adf4ff f,#4a9748ff g,#b7d5b6ff ``` ```image dd daaa caaaag faaaaaa faaaaaaac faagfaaaaa aaag daaaaac aaad faaaaa aaa daaaaac aaa caaaaa aaa aaaaac aaa caaaaa aaa aaaaac aaa caaaaa aaa aaaag aaa caa aaa aaa aaa daaa gaaa gaaf caaf caaf caac faac faag aaag aaad aaa aaa aaa aaa aaa aaa aaa dgcfag aaa gcfaaaaaaaaaaa aaa gcfaaaaaaaaaaaaaaaaaaaa aaa gccfaaaaaaaaaaaaaaaaaaaaaaaaafaaadaaa dgcfaaaaaaaaaaaaaaaaaaaaaaaaaafcg aaagaaa dgcfaaaaaaaaaaaaaaaaaaaaaaaaaaafcg faacaaa aaaaaaaaaaaaaaaaaaaaaaaaaafcgd caaaaaf aaaaaaaaaaaaaaaaffcg caaaaaf aaaaaaafcgd gaaaaaf d bbbbbbbbbe daaaaac bbbbbbbbbbbbed aaaaac dbbb ebbbbbbbbbbe aaaaag dbbb dbbbbbbbbbbed aaaaag ebbe ebbbbbbbbbbe aaaaad ebbe dbbbbbbbbbbed aaaaad ebbd ebbbbbbbbbbe aaaaa bbbd dbbbbbbbbbbbd aaaaa bbb ebbbbbbbbbbe aaaaa bbb dbbbbbbbbbbbd faaaa bbb ebbbbbbbbbbe caaaa bbb dbbbbbbbbbbbd caaaa bbb ebbbbbbbbbbe gaaaa bbb dbbbbbbbbbbaaaa bbb ebbbbbbaaaae dbbb debbaaaabbbbd dbbb aaaabbbbbbbe ebbe aaaaebbbbbbbbbbd ebbe aaaf ebbbbbbbbbbe ebbd aaaf debbbbbbbbbbd bbbd aaaf ebbbbbbbbbbd bbb aaac debbbbbb bbb faac dbbb bbb daa bbb bbb bbb bbb bbb dbbb dbbe ebbe ebbd bbbd bbb bbb bbb ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#8080d5ff b,#e38b2fff c,#ddb57fff d,#edeeeaff e,#a4abd7ff f,#b1d7b1ff g,#96c895ff ``` ```image dea aaad aaae aaaa eaaa daaa aaa aaae aaaa eaaa daaa aaa aaad aaae eaaa cbb daaa dbbbbc aaa dbbbbbbb aaad bbbbbbbbb aaae cbbbbbbcbbbddddddddddddd eaaa cbbbbbbcffbbbfffffffffffffg daaa dbbbbbbcffffbbbcffffffffffffg aaa dbbbbbbbffffffbbbbffffffffffffg dae aaad bbbbbbbdfffffffbbbbffffffffffffg aaaa ggggggaaaaggggggggggggg cbbbbbbd dfffffffcbbbffffffffffffg eaaaaaa ffffffaaaafffffffffffffd cbbbbbbc dffffffffbbbffffffffffffgdaaaaaad ffffffeaaafffffffffffffd dbbbbbbc dffffffffbbbcfffffffffffaaaaaae fffffffaaafffffffffffffd bbbbbbb dffffffffbbbbfffffffffeaaaaaa fffffffaaafffffffffffffd bbbbbbbd dffffffffbbbbffffffffaaaaaad fffffffaaaeffffffffffffd cbbbbbbd dffffffffcbbbffffffaaaaaae fffffffaaaaffffffffffffd cbbbbbbc dfffffffffbbbffffeaaaaaag fffffffeaaaffffffffffffd cbbbbbbc dfffffffffbbbcffaaaaaaefg ffffffffaaaffffffffffffd dbbbbbbbb dfffffffffbbbbaaaaaaafffg ffffffffaaaffffffffffffdcbbbbbbbbd dfffffffffbbcaaaaaafffffg ffffffffaaaefffffffffcbbbbbbbbbd dfffffffffcaaaaaaeffffffg ffffffffaaaaffffffcbbbbbbbbbc dffffffffaaaaaaaffffffffg ffffffffeaaaffffbbbbbbbbbc dffffffeaaaaaacfffffffffg fffffffffaaafcbbbbbbbbbd dfffffaaaaaacbbfffffffffg fffffffffaaabbbbbbbbcffd dfffaaaaaaabbbbfffffffffg ffffffffbaaagbbbbcfffffd dfeaaaaaaffcbbbfffffffffg fffffbbbbaaaabbffffffffd daaaaaaeffffbbbfffffffffg ffcbbbbbbcaaaffffffffffd eaaaaaaffffffbbbcffffffffg ffbbbbbbbcaaaffffffffffd daaaaaaffffffffbbbcffffffffg ffbbbbbfffaaaffffffffffd aaaaaaefffffffffbbbbffffffffg ffcbffffffaaaefffffffffd eaaaaaafffffffffffcbbbffffffffg ffffffffffaaaafffffffffd daaaaaaddffffffffffffbbbffffffffg ffffffffffeaaafffffffffd aaaaaae dffffffffffffbbbcfffffffg fffffffffffaaafffffffffd eaaaaaa dffffffffffffbbbcfffffffg fffffffffffaaafffffffffd daaaaaad dffffffffffffbbbbfffffffg fffffffffffaaaeffffffffd aaaaaae dffffffffffffcbbbfffffffg fffffffffffaaaaffffffffd eaaaaaa dfffffffffffffbbbfffffffg fffffffffffeaaaffffffffd daaaaaad gggggggggggggbbbgggggggf ffffffffffffaaaffffffffd aaaaaae bbbc ffffffffffffaaaffffffffd eaaaaaa bbbb ffffffffffffaaaefffffffd daaaaaad cbbb ffffffffffffaaaaffffffgd aaaaaae dbbb cbc ddddddddddddeaaaddddddd eaaaaaa bbbd bbbc daaa daaaaaad bbbc cbbb aaa aaaaaae bbbb bbbb aaae eaaaaaa cbbb dbbbd aaaa daaaaaad dbbb bbbb eaaaaaaaaae bbbd bbbc daaaaaaaa bbbc cbbb aaaaaad bbbb bbbb aaaae cbbb dbbbd daa dbbb bbbb bbbd bbbc bbbc cbbb bbbb bbbb cbbb dbbbd dbbb bbbb bbbd bbbc bbbc cbbb bbbb bbbb cbbbdbbb dbbbbbbb bbbbbbd bbbbbb bbbbbc cbbbb dbbbb bbbd bbb ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#8080d5ff b,#e38a2dff c,#efbe8bff d,#f7dec4ff e,#acabe3ff f,#d7d7f1ff g,#de995aff ``` ```image faaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaae faaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaae faaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaaf faaaaaae aaaaaaa aaaaaaa eaaaaaaf faaaaaaf faaaaaae cg aaaaaaa dgbbb aaaaaaa dcbbbbbb eaaaaaaf dcbbbbbbbbb faaaaaaf cgbbbbbbbbbbb faaaaaae dgbbbbbbbbbbbbbb aaaaaaa dcbbbbbbbbbbbbbbbbb aaaaaaagbbbbbbbbbbbbbbbbbgd eaaaaaagbbbbbbbbbbbbbbgc eaaaaaagbbbbbbbbbbbbcd dcbgaaaaaaabbbbbbbbbcd cgbbbbaaaaaaabbbbbbgd dgbbbbbbbaaaaaaabbbgc dcbbbbbbbbbbaaaaaaagcd dcbbbbbbbbbbbbbgaaaaaaf dbbbbbbbbbbbbbbbgaaaaaae bbbbbbbbbbbbbbgcaaaaaae cbbbbbbbbbbbcd aaaaaaa dbbbbbbbbgd eaaaaaaf gbbbbgc eaaaaaaf cbbcd faaaaaae d aaaaaae aaaaaaa eaaaaaaf eaaaaaaf faaaaaae aaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaae faaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaae faaaaaae aaaaaaa eaaaaaa eaaaaaaf faaaaaae faaaaaae aaaaaaa ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area A. Time to investigate another area. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#8080d5ff b,#e38a2dff c,#f0c497ff d,#f7e1caff e,#a0a0e0ff f,#d2d2f0ff g,#e5a362ff ``` ```image bbbbbbbbbbgd bbbbbbg bbbbbbbbbc bbbbbbb bbbbbbbc gbbbbbbd bbbbbgd cbbbbbbc bbbgd dbbbbbbc bbd bbbbbbg c bbbbbbb gbbbbbbd cbbbbbbc dbbbbbbc bbbbbbg bbbbbbb gbbbbbbd cbbbbbbc dbbbbbbc e dbbbbbbg faa bbbbbbb feaaa gbbbbbbd eaaaaa cbbbbbbd faaaaaaa dbbbbbbc feaaaaaaaa dbbbbbbg eaaaaaaaaaa bbbbbbb faaaaaaaaaaaa gbbbbbbd feaaaaaaaaaaaef cbbbbbbd eaaaaaaaaaaaaf dbbbbbbc faaaaaaaaaaaae dbbbbbbgfeaaaaaaaaaaaef bbbbbbaaaaaaaaaaaaaf gbbbgaaaaaaaaaaaae cbgaaaaaaaaaaaaef caaaaaaaaaaaaaf faaaaaaaaaaaae feaaaaaaaaaaaef eaaaaaaaaaaaaf faaaaaaaaaaaaad feaaaaaaaaaaaagbc eaaaaaaaaaaaagbbbg faaaaaaaaaaaaabbbbbb feaaaaaaaaaaaefgbbbbbb eaaaaaaaaaaaaf cbbbbbbd faaaaaaaaaaaae cbbbbbbc feaaaaaaaaaaaef dbbbbbbg eaaaaaaaaaaaaf bbbbbbb aaaaaaaaaaae gbbbbbb aaaaaaaaaef cbbbbbbd aaaaaaaaf cbbbbbbc aaaaaae dbbbbbbg aaaaef bbbbbbb aaaf gbbbbbb ae gbbbbbbd f cbbbbbbc dbbbbbbg bbbbbbg gbbbbbb gbbbbbbd cbbbbbbc dbbbbbbg bbbbbbg gbbbbbb gbbbbbbd cbbbbbbc dbbbbbbg bbbbbbg ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8080d5ff b,#e48a2dff c,#f0c497ff d,#f7e2ccff e,#9b9bdeff f,#c9c9edff g,#e6a565ff ``` ```image fea aaa aaaf aaae eaaa faaa aaa aaaf aaae eaaa faaa aaa aaaf aaae eaaa cbb faaa dbbbbc aaa bbbbbbg aaaf bbbbbbbbb aaae gbbbbbbcbbb eaaa cbbbbbbc bbb faaa dbbbbbbg bbbc aaa bbbbbbb bbbg ae aaaf bbbbbbb gbbb eaaa aaae gbbbbbbd dbbb faaaaaa eaaa cbbbbbbc bbb aaaaaaf faaa dbbbbbbg bbbc eaaaaae aaa bbbbbbb bbbg faaaaaa aaaf gbbbbbb gbbb aaaaaaf aaae gbbbbbbd dbbb eaaaaae eaaa cbbbbbbc bbb faaaaaa faaa cbbbbbbg bbbd aaaaaaf aaa dbbbbbbbb bbbgeaaaaae aaaf gbbbbbbbbd gbgaaaaaa aaae cbbbbbbbbbd caaaaaaf eaaa dbbbbbbbbbc eaaaaae faaa gbbbbbbbbg faaaaaad aaa gbbbbbbbbbd aaaaaagbg aaabbbbbbbbc eaaaaaegbbb dbaaaabbbbg faaaaaa cbbb gbbbaaaabg aaaaaaf bbb cbbbbbbgaaa eaaaaae bbbd bbbbbbbcaaa faaaaaa bbbg bbbbg aaa aaaaaaf gbbb cbd aaaf eaaaaae cbbb aaaa faaaaaa bbb faaa aaaaaaf bbbd aaa eaaaaae bbbg aaa faaaaaa gbbb aaaf aaaaaaf cbbb aaaa eaaaaae bbb faaa faaaaaa bbbd aaa aaaaaaf bbbc aaa eaaaaae bbbb aaaf faaaaaa cbbb aaae aaaaaaf bbb gbc eaaa eaaaaaa bbbd bbbg faaa faaaaaa bbbc cbbb aaa aaaaaaf bbbb bbbb aaaf eaaaaaa cbbb bbbd aaae faaaaaa dbbb gbbb eaaaaaaaaaf bbbd bbbg faaaaaaaa bbbc cbbb aaaaaa bbbb bbbb aaaaf cbbb dbbbd faa dbbb bbbb bbbd bbbc bbbc cbbb bbbb bbbb cbbb dbbb dbbb bbbb bbb bbbc bbbc gbbb bbbb bbbg cbbbdbbb dbbbbbbb bbbbbbd bbbbbb bbbbbg gbbbb dbbbb bbbd bbb ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#f29735ff b,#8f4b4eff c,#d3b683ff d,#e5d0c9ff e,#a4807aff f,#b2d7b1ff g,#97c795ff ``` ```image d ebb dbbbd bbbbe bbbbbb bbbbbbb ebbb bbb caa dbbbd bbbd aaa bbbe cbbe caac bbbb bbb aaa bbbb bbb aaa ebbbd bbb aaac dbbbc bbbd daaa bbbb cbbe aaa bbbb bbb aaad ebbb bbb daaa cbbbd bbb aaa dbbbe bbbd aaad bbbb cbbe daaa bbbb bbb aaa ebbb bbb aaad dbbbd bbb caaa bbbe bbbd aaa bbbb cbbe aaa bbbb bbb caac ebbb bbb aaa dbbbc bbb aaa bbbe d bbbd caac bbbb caad cbbe aaaggggggggggggggggggggggggbbbbggggggaaaacgggggggggggggbbbgggggggggggggggggggf aaafffffffffffffffffffffffebbbgfffffcaaaaacffffffffffffbbbfffffffffffffffffffg aaacfffffffffffffffffffffgbbbeffffffaaaaaaaafffffffffffbbbfffffffffffffffffffg gaaafffffffffffffffffffffbbbbfffffffaaafaaaaaffffffffffbbbgffffffffffffffffffg gaaaffffffffffffffffffffbbbbfffffffaaacffaaaaafffffffffebbeffffffffffffffffffg gaaacffffffffffffffffffbbbbffffffffaaaffffcaaaafffffffffbbbffffffffffffffffffg gcaaafffffffffffffffffebbbgfffffffcaaafffffcaaaaffffffffbbbffffffffffffffffffg gfaaafffffffffffffffffbbbeffffffffaaafffffffcaaaafffffffbbbffffffffffffffffffg gfaaacfffffffffffffffbbbbffffffffcaaafffffffffaaaaffffffbbbgfffffffffffffffffg gfcaaaffffffffffffffbbbbfffffffffaaacffffffffffaaaafffffebbefffffffffffffffffg gffaaafffffffffffffebbbfffffffffaaaaffffffffffffaaaacffffbbbfffffffffffffffffg gffaaacfffffffffffgbbbeffffffffaaaaffffffffffffffaaaacfffbbbfffffffffffffffffg gffcaaafffffffffffbbbeffffffffaaaaffffffffffffffffaaaacffbbbfffffffffffffffffg gfffaaaffffffffffbbbbffffffffaaaaffffffffffffffffffaaaaafbbbgffffffffffffffffg gfffaaafffffffffbbbbffffffffaaaaffffffffffffffffffffaaaaaebbeffffffffffffffffg gfffcaaafffffffebbbffffffffaaaaffffffffffffffffffffffcaaaabbbffffffffffffffffg gffffaaaffffffgbbbeffffffcaaaaffffffffffffffffffffffffcaaabbbffffffffffffffffg gffffaaaffffffbbbbffffffcaaaaffffffffffffffffffffffffffcaabbbffffffffffffffffg gffffcaaaffffbbbbffffffcaaaaffffffffffffffffffffffffffffcabbbgfffffffffffffffg gfffffaaafffbbbbffffffcaaaafffffffffffffffffffffffffffffffabbbfffffffffffffffg gfffffaaaffebbbgfffffcaaaafffffffffffffffffffffffffffffffffbbbacfffffffffffffg gfffffaaaaabbbbaaaaaaaaaaffffffffffffffffffffffffffffffffffbbbaacffffffffffffg gffffffaaabbbbaaaaaaaaaafffffffffffffffffffffffffffffffffffbbbaaacfffffffffffg gffffffaabbbbaaaaaaaaaaffffffffffffffffffffffffffffffffffffbbbaaaaaffffffffffg gfffffffbbbbfffffffffffffffffffffffffffffffffffffffffffffffebbeaaaaafffffffffg gffffffebbbgffffffffffffffffffffffffffffffffffffffffffffffffbbbfaaaaaffffffffg gffffffbbbefffffffffffffffffffffffffffffffffffffffffffffffffbbbffcaaaafffffffg gfffffbbbbffffffffffffffffffffffffffffffffffffffffffffffffffbbbfffcaaaaffffffg gffffgbbbfffffffffffffffffffffffffffffffffffffffffffffffffffbbbgfffcaaaafffffg gffffbbbefffffffffffffffffffffffffffffffffffffffffffffffffffebbefffffaaaaffffg gfffebbbfffffffffffffffffffffffffffffffffffffffffffffffffffffbbbffffffaaaafffg gfffbbbgfffffffffffffffffffffffffffffffffffffffffffffffffffffbbbfffffffaaaacfg gffebbbffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbffffffffabbffg gffbbbgffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbgffffffgbbbefg gfbbbbfffffffffffffffffffffffffffffffffffffffffffffffffffffffebbefffffgbbbbffg gfbbbfffffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbffffgbbbbfffg fbbbbgggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbggggbbbbggggf dbbb bbb bbbb bbbe bbbd bbbb dbbb cbbebbbb bbbc bbbbbb ebbb bbbbb bbbd bbbb ebbb ebb bbb bbbb bbb bbbe dbbb bbbc cbbb bbbd ebb d ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#f39735ff b,#904b4fff c,#d2b6b7ff d,#f9d1a6ff e,#b58789ff f,#f6b46eff g,#f8eadeff ``` ```image aaaa gbbbbbc gaaaaad bbbbb aaaa bbbbb aaaaaaad bbbbb aaaa ebbbbb daaaaaaaaf ebbbb aaaag cbbbbbc faaaaaaaaaf cbbbb daaaa bbbbbe aaaaaaaaaaafg gbbbbg gaaaag bbbbbg gaaaadgaaaaaaa bbbbc aaaad cbbbbb daaaag gfaaaaag ebbbc aaaaag gbbbbbe daaaag faaaaaad cbbbb aaaaad bbbbbb faaaa faaaaaa gbbbbg gaaaaa cbbbbbc faaaaa aaaaaad bbbbc aaaaa cbbbbbc aaaaad daaaaaaf bbbbe faaaa bbbbbe aaaaag gaaaaaa bbbbb aaaad ebbbbb daaaag gaaaaaaf bbbbbc faaaf cbbbbbc faaaf gfaaaaag ebbbbc daaaa gbbbbbc daaaad aaaaaag cbbbbe aaaaf bbbbbg faaaaa faaaaaa gbbbbb aaaaa ebbbbb faaaaaa daaaaad bbbbb faaaa gbbbbbe aaaaaag daaaaaaf cbbbb daaaa bbbbbb faaaaag daaaaaa cbbbb gaaaag bbbbbb faaaaaa aaaaaaf gbbbbg daaaa cbbbbbc gaaaaaa gaaaaaag ebbbc gaaaag bbbbbe gaaaaaaf gaaaaaagcbbbe aaaad bbbbb aaaaaaf faaaaaacbbbb gaaaag cbbbbbc gaaaaaa faaaaabbbbc aaaad gbbbbbc gaaaaaaf aaaaabbbbc aaaaa bbbbb gaaaaad daaabbbbb aaaaa ebbbbb daaaaaa aaabbbbb faaaa cbbbbbc daaaaaad gaabbbbb aaaad bbbbbb daaaaaa gabbbbag faaaf bbbbbb daaaaaad abbbbaag aaaaaaabbbbbaaaaaaaaaaaaaaag bbbbaaad aaaaaabbbbbbaaaaaaaaaaaaaaa ebbbaaaad aaaaaabbbbbaaaaaaaaaaaaaaag cbbbbaaaad faaaabbbbbaaaaaaaaaaaaaag gbbbbaaaaaf gfaabbbbbaaaaaaaaaaaaaaf bbbbaaaaaaf gbbbbbegggggggggggggg ebbbeaaaaaag ebbbbb cbbbb faaaaaag cbbbbbc gbbbbg faaaaaa bbbbbb bbbbc aaaaaad bbbbbb bbbbe daaaaaad gbbbbbg bbbbb daaaaaa cbbbbe bbbbb gaaaaaaf bbbbbg ebbbb gaaaaaa bbbbb cbbbb gaaaaafg cbbbbc gbbbbg faaaaaa gbbbbb bbbbc faaaaag gbbbbe cbbbe faabbaf ebbbbg cbbbb dbbbf bbbbb gbbbbg cbbbe cbbbbe bbbbc bbbbbbc bbbbbg bbbbe gbbbbbc cbbbbc bbbbb gbbbbbb ebbbbb bbbbbc bbbbbbc ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f39735ff b,#8f4b4eff c,#c7a6a8ff d,#ebd0c0ff e,#ac7a7dff f,#f7b977ff g,#f6ece6ff ``` ```image g ebb cbbbd gbbbbe bbbbbb bbbbbbb ebbbgbbb faa dbbbc bbbd aaa bbbe cbbe faaf bbbb gbbb gaaa bbbb bbb aaa cbbbg bbb aaaf dbbbc bbbd gaaa bbbb cbbe aaa bbbb gbbb aaad ebbb bbb daaa cbbbd bbb aaa gbbbe bbbd aaad bbbb cbbe daaa bbbb gbbb aaa ebbbg bbb aaag cbbbd bbb faaa gbbbe bbbd aaa bbbb cbbe aaag bbbb gbbb faaf ebbbg bbb aaa dbbbc bbb aaa bbbe g bbbd faaf bbbb faad cbbe gaaa bbbb aaaad gbbb aaa cbbbg daaaaaf bbb faaf gbbbc aaaaaaaf bbb gaaa bbbb gaaa aaaaa bbbd aaa bbbb aaaf faaaa cbbe aaad ebbb aaa faaaa gbbb daaa cbbbd faaa daaaa bbb aaa gbbbe aaag daaaa bbb aaad bbbb daaa gaaaag bbbd daaa bbbb aaad gaaaag cbbe aaa ebbbg aaaa aaaad gbbb aaad dbbbd aaaag aaaaf bbb daaa gbbbe aaaag aaaaf bbb aaa bbbb gaaaag aaaaf bbbd aaag bbbb gaaaa faaaacbbe faaf ebbbg gaaaa faaaabbb aaa dbbbc gaaaa faaabbb aaag bbbe daaaa daabbb faaf bbbb daaaa gabbbd aaa bbbb daaaa gabbbg aaa cbbbg faaaa gbbbad faaaabbbbaaaaaaaaaa bbbaad gaaabbbbaaaaaaaaaa bbbaaaf fabbbbaaaaaaaaaf bbbaaaaf ebbb cbbeaaaaa cbbbd gbbb faaaa gbbbe bbb faaaa bbbb bbb daaaa dbbb bbbd daaaa bbbc cbbe gaaaag cbbb gbbb gaaaag bbbd bbb aaaad ebbb bbb abb bbbg bbbd dbbbe bbbb cbbe dbbbb gbbb gbbb gbbbb bbbe bbb gbbbb gbbb bbb gbbbb bbbe bbbdgbbbb cbbb cbbebbbb bbbc gbbbbbb cbbb bbbbb bbbd bbbb ebbb ebb bbbg bbbb gbbb bbbe dbbb bbbc cbbb bbbd ebb g ``` <!-- end of image -->
[ "" ]
I'm curious to see if this image contains any intersection points. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#4ddca7ff b,#78e0abff c,#53f5a1ff d,#edf7efff e,#95ca96ff f,#a3d4a9ff g,#b1d8b2ff ``` ```image d aaa gaa aag aaa baa daad aab aaa gaa aag aaa baa daad aab aaa gaa aag aaa baa daad aab aaa gaa aag aaa baa daad aab aaa gaa dddddaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dfffffaaafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff dfggggbaaggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfffbbbbbaaggg dfggggfaafgggggggggggggggggggggggggggggggggggggggggggbaaaaaaaaaaaaaaaaaaaaaaaaaggg dfgggggaaagggggggggggggggggggggggggggggggggggggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaggg cddfgggggaaaggggggggggggggggggggggggggggggggggggggggggbaaaaaaaabbbbbfffggggggfcccggg cccbfgggggbaaggggggggggggggggggggggggggggggggggggggggggbaagggggggggggggggggggfcccbggg dccccggggggaabgggggggggggggggggggggggggggggggggggggggggaaaggggggggggggggggggbcccbgggg ccccgggggaaagggggggggggggggggggggggggggggggggggggggggaaagggggggggggggggggbcccfggggg ccccfgggbaagggggggggggggggggggggggggggggggggggggggggaabggggggggggggggggccccfgggggg dccccfggfaafgggggggggggggggggggggggggggggggggggggggfaafgggggggggggggggccccgggggggg dfbcccbggaaagggggggggggggggggggggggggggggggggggggggbaagggggggggggggggccccggggggggg dfgfccccgaaagggggggggggggggggggggggggggggggggggggggaaaggggggggggggggccccgggggggggg dfgggccccbaagggggggggggggggggggggggggggggggggggggggaaagggggggggggggccccggggggggggg dfggggccccaabggggggggggggggggggggggggggggggggggggggaabgggggggggggfcccbgggggggggggg dfgggggbccaaaggggggggggggggggggggggggggggggggggggggaabggggggggggfcccbggggggggggggg dfggggggbcaaagggggggggggggggggggggggggggggggggggggfaaggggggggggbcccfgggggggggggggg dfgggggggfcaacggggggggggggggggggggggggggggggggggggbaagggggggggbcccfggggggggggggggg dfgggggggggaaacgggggggggggggggggggggggggggggggggggaaaggggggggccccggggggggggggggggg dfgggggggggaaaccggggggggggggggggggggggggggggggggggaaagggggggccccgggggggggggggggggg dfgggggggggbaacccfggggggggggggggggggggggggggggggggaabggggggccccggggggggggggggggggg dfggggggggggaabcccbgggggggggggggggggggggggggggggggaafgggggccccgggggggggggggggggggg dfggggggggggaaafccccgggggggggggggggggggggggggggggfaaggggfcccbggggggggggggggggggggg dfggggggggggbaaggccccggggggggggggggggggggggggggggbaagggfcccbgggggggggggggggggggggg dfggggggggggfaafggccccgggggggggggggggggggggggggggaaaggbcccfggggggggggggggggggggggg dfgggggggggggaaagggbcccfgggggggggggggggggggggggggaaagbcccfgggggggggggggggggggggggg dfgggggggggggaaaggggbcccbggggggggggggggggggggggggaabccccgggggggggggggggggggggggggg dfgggggggggggbaagggggfccccgggggggggggggggggggggggaaccccggggggggggggggggggggggggggg dfggggggggggggaabggggggccccgggggggggggggggggggggfaacccgggggggggggggggggggggggggggg dfggggggggggggaaagggggggccccggggggggggggggggggggbaaccggggggggggggggggggggggggggggg dfggggggggggggbaaabggggggbcccfgggggggggggggggggfaaacgggggggggggggggggggggggggggggg dfgggggggggggggaaaaaggggggbcccbgggggggggggggggfcaaaggggggggggggggggggggggggggggggg dfggggggggggggggfaaaabgggggfccccgggggggggggggbccaabggggggggggggggggggggggggggggggg dfggggggggggggggggbaaaafgggggccccgggggggggggbcccaafggggggggggggggggggggggggggggggg dfggggggggggggggggggaaaaagggggccccgggggggggccccbaagggggggggggggggggggggggggggggggg dfgggggggggggggggggggbaaaabggggbcccfggggggccccgbaagggggggggggggggggggggggggggggggg dfgggggggggggggggggggggaaaaaggggbcccbggggccccggaaagggggggggggggggggggggggggggggggg dfggggggggggggggggggggggfaaaabgggfccccggccccgggaaagggggggggggggggggggggggggggggggg dfggggggggggggggggggggggggbaaaafgggccccccccggggaabgggggggggggggggggggggggggggggggg dfggggggggggggggggggggggggggaaaaagggcccccbggggfaafgggggggggggggggggggggggggggggggg dfgggggggggggggggggggggggggggbaaaabggbccbgggggbaaggggggggggggggggggggggggggggggggg dfgggggggggggggggggggggggggggggaaaaaggfgggggggaaaggggggggggggggggggggggggggggggggg dfggggggggggggggggggggggggggggggfaaaabggggggggaaaggggggggggggggggggggggggggggggggg dfggggggggggggggggggggggggggggggggbaaaafggggggaabggggggggggggggggggggggggggggggggg dfgggggggggggggggggggggggggggggggggfaaaaagggggaabggggggggggggggggggggggggggggggggg deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebaaaaeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaaaa gaa daaaaaaa baaaaa daaab ga ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4cdda7ff b,#8ef1c4ff c,#52f5a1ff d,#caf7e4ff e,#6eecb4ff f,#e7fcf2ff g,#adf3d5ff ``` ```image aaaa daaaf aaad gaaa fffdddggbbbeeeaaaaaaaaaaaaaaaa faaad eeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaae faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaa daaaaaaaaaaaaaaaaaaaaaaaaaeeebbbeccc eaaa baaaddff fecccc b gaaa eaaa cccccb cef eaag aaaa gccccc ccc baae aaaa cccccd ccccb aaag aaab bcccce cccccf aaab aaag fccccef eccccc aaaa faaaf cccccb bccccg eaaa daaa dccccg dcccccf daaaf baab cccccd fccccef aaag eaag bccccd bccccggaaa faaaf fccccef cccccbaaad daaa feccccf fccccaaae baaa dccccb ecccaaaa eaaa dccccc ccaaaa aaaa bccccd dccaaaf aaae bccccc eaaaac aaag feccccf eaaacg aaad eccccb aaacccf daaa dccccc aaaaccef gaae cccccg aaaaccccg eaag bccccc eaaacccccb aaad ccccef daaaffccccef daaa eccccb aaag eccccc gaaa fccccb gaaa cccccb eaaa cccccg faaad dcccccf aaaa gccccd aaae eccccc aaaa ccccef aaaa bccccg aaaefeccccf baaa dcccccf aaabccccb daaa fccccef aaaccccc eaab bccccg daaacccd gaae cccccb gaaaccc aaaaf fccccef faaaccf aaaaag eccccc eaaace deaaaaab cccccb dccaaa aaaaaad dcccccf ccaaaa aaaaaag eccccc gcccaaaa fbaaaaae bccccg ccccaaaa gaaaaae dcccccf ecccceaaae eaaaaabf fccccef fccccb aaab baaaaaef bccccg cccccg aaad daaaaaa cccccb gccccg faaaf faaaaaaf fccccef cccccd gaae gaaaaaag eccccc bccccf baab daaaaaag ccccccccb aaad aaaaaad dccccccc faaaf aaaaaad ecccg gaaa feaaaaae bcc baaa fbaaaaae aaaa eaaaaab aaaa eaaaaabf aaae gaaaaaa aaab daaaaaa aaad ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4cdda7ff b,#91eec6ff c,#52f5a1ff d,#cbf7e4ff e,#70ebb5ff f,#e5fbf1ff g,#aff2d6ff ``` ```image d aaa baa aag aaa eaa daaf aab aaa baa aag aaa eaa daaf aae aaa baa aag aaa eaa daaf aae aaa gaa aag aaa eaa faaf aae aaa gaa aag aaa eaa ffdggbbbee faad beaaaaaaaaaaaaaaaaaaaaaaaa aae aaaaaaaaaaaaaaaaaaaaaaaaaa cd aaa gaaaaaaaeebbggddff fcccf cccb gaa eaa dcccb fccce aag aaa gcccg cccc aaa aae bcccd ccccf eaa aag ecccf ecccd faad faaf cccc gcccb aae gaa cccc fccce aaa eaa cccc ccccgaa aaa fccce ccccaab aae fcccb eccaaa aag dcccg gcaaa faa bcccd fcaac baa ecccf aaac aaa eccc aaaccf aaa cccc gaacccd aab cccc aaecccb aad ccce aaafccce daa fccce baa cccc baa dcccg faad ccccf aaa gcccd aae ecccd aaa bcccf aaa gcccb aabeccc gaa fccce aacccc aab cccc daaccc aaa ccccf baacc baaag ecccd faaae eaaaaf gcccb dcaaa faaaae fccce gccaab baaaaf cccc bcccaaf aaaaa ccccf ecccgaa gaaaag ecccd cccc eaa eaaaa gcccb cccc aaa faaaab fccce cccc aae baaaaf ccccccce aag aaaae cccccb faaf gaaaad eccg gaa aaaaa ff eaa daaaab aaa eaaaaf aae faaaae aag baaaad faa aaaaa baa daaaaaaa eaaaaa faaab ba ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#dac7ddff b,#906191ff c,#941e5aff d,#b1d7b1ff e,#6b3287ff f,#a794a9ff g,#98c798ff ``` ```image a eb eea e e e ae e fe e bb e ea ab e ab ae aaff ff fe cccccbbbcca ff bb accca ba ea accf ea e cf e ae cf e fe cb e bb cb e ea cb e e cc e ae cc e fe bc e bb bc e ea bc ab e fc ab ae fc ff fe fc ff bb ac ba ea ac ea e ac e ae aca e fe cggggggggggggegggggggggggggggggggggggggebgggggggggg cfddddddddddedddddddddddddddddddddddddfedddddddddd gcfdddddddddeddddddddddddddddddddddddddedddddddddd gdcfddddddddeddddddddddddddddddddddddddedddddddddd gddcbdddddddeddddddddddddddddddddddddddedddddddddd gdddcbddddddeddddddddddddddddddddddddddedddddddddd gddddcbdddddeddddddddddddddddddddddddddegddddddddd gdddddcbdddgeddddddddddddddddddddddddddbfddddddddd gddddddccddfbddddddddddddddddddddddddddfbddddddddd gdddddddccdfbdddddddddddddddddddddddddddeddddddddd gddddddddccbfdddddddddddddddddddddddddddeddddddddd gdddddddddcefdddddddddddddddddddddddddddeddddddddd gddddddddddecdddddddddddddddddddddddddddeddddddddd gddddddddddebcddddddddddddddddddddddddddegdddddddd gddddddddddedbcdddddddddddddddddddddddddbfdddddddd gddddddddddeddbcddddddddddddddddddddddddfbdddddddd gddddddddddedddbcddddddddddddddddddddddddedddddddd gddddddddddeddddfcdddddddddddddddddddddddedddddddd gddddddddddedddddfcddddddddddddddddddddddedddddddd gddddddddddeddddddfcdddddddddddddddddddddedddddddd gddddddddddedddddddgcddddddddddddddddddddedddddddd gddddddddddeddddddddgcgddddddddddddddddddbfddddddd gdddddddddgeddddddddddcgdddddddddddddddddfbddddddd gdddddddddfbdddddddddddcfddddddddddddddddgeddddddd gdddddddddfbddddddddddddcfddddddddddddddddeddddddd gdddddddddbfdddddddddddddcfdddddddddddddddeddddddd gdddddddddbfddddddddddddddcbddddddddddddddeddddddd gdddddddddegdddddddddddddddcbdddddddddddddeddddddd gdddddddddedddddddddddddddddcbddddddddddddefdddddd gdddddddddeddddddddddddddddddcbdddddddddddbbdddddd a gdddddddddedddddddddddddddddddccddddddddddfbdddddd ebeeeeeebfaa gdddddddddeddddddddddddddddddddccddddddddddedddddd ea afbeeeeeeebffddddddedddddddddddddddddddddccdddddddddedddddd ae gfbbeeeeeeeddddddddddddddddddddddccddddddddedddddd ae gdddddddddgdddddddddddddddddddddddccdddddddedddddd fe gddddddddddddddddddddddddddddddddddbcddddddegddddd be gdddddddddddddddddddddddddddddddddddbcdddddbfddddd be gddddddddddddddddddddddddddddddddddddbcddddfbddddd eb gdddddddddddddddddddddddddddddddddddddbcddddeddddd eb gddddddddddddddddddddddddddddddddddddddfcdddeddddd ef gdddddddddddddddddddddddddddddddddddddddfcddeddddd ea gddddddddddddddddddddddddddddddddddddddddfcdeddddd ea gdddddddddddddddddddddddddddddddddddddddddgceddddd ae gddddddddddddddddddddddddddddddddddddddddddgefdddd ae gdddddddddddddddddddddddddddddddddddddddddddfedddd fe gdddddddddddddddddddddddddddddddddddddddddddgedddd be gddddddddddddddddddddddddddddddddddddddddddddedddd f gddddddddddddddddddddddddddddddddddddddddddddedddd gddddddddddddddddddddddddddddddddddddddddddddedddd gddddddddddddddddddddddddddddddddddddddddddddddddd gddddddddddddddddddddddddddddddddddddddddddddddddd gddddddddddddddddddddddddddddddddddddddddddddddddd ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#e8d9e6ff b,#8c60a2ff c,#941a59ff d,#d0b5d0ff e,#6b3187ff f,#b58bb6ff g,#ae5181ff ``` ```image ca deb bef cca deb deb gcca deb aeb gccd fef aee gccd fef eea gccd fef bed gccd bed bed fccd bed fef fccf bed deb fccf eea deb fccf eea aee fccf ee ee dccg ee bea dccg aee bed dccg aeb fef dccg deb fef dccg deb deb accg deb aee accga fef ee accga fef eea acccafef bed agccbed fef agceed fef geed deb eeca aeb eeccd ee eegccd eea ee gccd bed aee gccd bed aeb fccd fef deb fccf deb deb fccf deb deb fccf aee fef fccf eea fef dccg bea fef dccg bed bed dccg fef bed dccg deb bed accg deb eea accg aee eea accga ee ee accga eea ee accca bed aee agcca fef aeb agcca fef deb gcca deb deb gcca aee deb gccd ee fef gccd eea fef gccd bed fef gccd bed bed fccf fef bed fccf deb bed fcc aeb eea fcf aee ee ccg bed ee dccg bed aee dccg fef aeb dccg deb deb accg deb deb accg aee deb accga ee fef accga bea eebbffdda fef accca bed eeeeeeeeeeebbffddaa fef agcca fef addffbbeeeeeeeeeeeeeed agcca fef aaddffbbeeeea gcca deb aa gccd aee gccd ee gccd eea gccd bed gccd fef fccf fef fccf deb fccf aeb fccf ee dccf eea dccg bed dccg bed dccg fef dccg deb accg deb accgaee accgeea acceea aceef aeeea feec deed aee ee eea bed fef fef deb afd ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#e8dce9ff b,#895b9fff c,#941b59ff d,#d1b6d0ff e,#6b3187ff f,#b68fb9ff g,#ae5482ff ``` ```image a eb eed e ea e ae e fe e bb e ed ab ea db ae adff ff fe cccccgggccd ff bb accga bd ed dccf ba e cf e ae cg e fe cg e bb cg e ed cg e e cc e ae gc e fe gc e bb gc e ed gc ab e fc db ae fc ff fe dc ff bb dc bd ed dc ba e aca e ae aca e fe aca e bf ca e ab cd e e cd e e cf e e cf e e cg e ba cg ab ff cg db db cg ff e ccff e ged e ec e egc ea e gc bd e fc db e fc ae e dc e e dc e e dc e e aca e ae aca bd ab aca ff db cd ab ff cd e ff cd e bd cf e ba cf e e cg bd e cg ff d e cg db ebeeeeeebfda e cg e aea dfbeeeeeeebfd e cc e aea adfbeeeeeee gc e de a gc e fe gc ea be gc ff be fc db eb fc ae eb dc e ef dc e ed dc e aea acea aea aef de fe fe ae be e d e e ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#03f5e3ff b,#914347ff c,#a48b80ff d,#33ebd6ff e,#b0d6b0ff f,#77e7ceff g,#ebf4eeff ``` ```image bb bbg ebbc bbbb bbbb bbbb gbbbbe fad cbbbbb da faa bbcebb aag aag bbe bb aaf aad bb bbg aaa faa gbb bbc gaaa aag cbb cbb faaa aad bbc gbb daaa faa bbg bbg aaaaf aag bb bbc aaaad ggff gggggaadgggggebbggggcbbggggggaafaagggggggggggggggggg ggfffddaaaaaaaaaaaaa eeeeefaaeeeeebbbeeeecbbeeeeeeaaeaaeeeeeeeeeeeeeeeffdfddaaaaaaaaaaaaaaaaaaaaaaaaaaaaa eeeeeeaaeeeeebbceeeeebbeeeeeeaaeaaeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaddffggg eeeeeeaadeeeebbeeeeeebbceeeefaaeaafeeeeeeaaaaaaaaaaaaddffggg eeeeeefaaeeeebbeeeeeebbbeeeefaaeaadeeeeeeaaeeeeeeeeeg eeeeeeeaaeeecbbeeeeeecbbeeeedaaedaaeeeeeeaaeeeeeeeeeg eeeeeeeaadeebbbeeeeeeebbeeeeaadefaaeeeeeeaaeeeeeeeeeg eeeeeeefaaeebbceeeeeeebbeeeeaafeeaaeeeeeeaaeeeeeeeeeg eeeeeeeeaaeebbeeeeeeeebbceeeaaeeeaaeeeeefaaeeeeeeeeeg eeeeeeeeaadebbeeeeeeeecbbeeeaaeeeaafeeeefaaeeeeeeeeeg eeeeeeeefaacbbeeeeeeeeebbeeeaaeeedadeeeefaaeeeeceeeeg eeeeeeeeeaabbceeeeeeeeebbeeeaaeeefaaeeeefaaeeebbceeeg eeeeeeeeeaadbceeeeeeeeebbcefaaeeeeaaeeeedaaeeebbbeeeg eeeeeeeeefaabeeeeeeeeeecbbedaaeeeeaaeeeedaaeeebbbeeeg eeeeeeeeeeaabeeeeeeeeeeebbeaadeeeeaafeeedaaeecbbbeeeg eeeeeeeeeeaadeeeeeeeeeeebbeaafeeeeaadeeedadeecbbbeeeg eeeeeeeeeecaaeeeeeeeeeeebbcaafeeeedaaeeedadeebbbbeeeg eeeeeeeeeebaaeeeeeeeeeeebbbaaeeeeefaaeeeaadeebbbbceeg eeeeeeeeeebaadeeeeeeeeeecbbaaeeeeeeaaeeeaadeebbbbbeeg eeeeeeeeecbcaaeeeeeeeeeeebbaaeeeeeeaaeeeaafecbbcbbeeg eeeeeeeeebbbaaeeeeeeeeeeebcaaeeeeeeaafeeaafebbbebbeeg eeeeeeeeebbcaadeeeeeeeeeebdaaeeeeeedaaeeaafebbcebbeeg eeeeeeeeebbefaaeeeeeeeeeecdadeeeeeefaaeeaafebbeebbeeg eeeeeeeeebbeeaaeeeeeeeeeeeaafeeeeeeeaaeeaaeebbeebbceg eeeeeeeecbbeeaadeeeeeeeeeeaafeeeeeeeaaeeaaecbbeebbbeg eeeeeeeebbbeefaaeeeeeeeeeeaaceeeeeeeaafeaaebbceecbbeg eeeeeeeebbceeeaaeeeeeeeeeeaabeeeeeeeaadeaaebbeeeebbeg eeeeeeeebbeeeeaadeeeeeeeeeaabeeeeeeedaaeaaebbeeeebbeg eeeeeeeebbeeeefaaeeeeeeeefaabeeeeeeefaaeaacbbeeeebbeg eeeeeeecbbeeeeeaaeeeeeeeedaabceeeeeeeaaeaabbbeeeebbcg eeeeeeebbceeeeeaadeeeeeeedadbbeeeeeeeaaeaabbceeeebbbg eeeeeeebbceeeeefaaeeeeeeeaadbbeeeeeeeaadaabbeeeeecbbg eeeeeeebbeeeeeeeaaeeeeeeeaafbbeeeeeeedaaaabbeeeeeebbg eeeeeeebbeeeeeeeaadeeeeeeaaebbceeeeeefaaaabbeeeeeebbg eeeeeecbbeeeeeeefaaeeeeeeaaebbbeeeeeeeaaaabbeeeeeebbg eeeeeebbceeeeeeeeaaeeeeeeaaecbbeeeeeeeaaaabceeeeeebbe eeeeeebbeeeeeeeeeaadeeeefaaeebbeeeeeeeaaaabeeeeeeebbc eeeeeebbeeeeeeeeefaaeeeefaaeebbeeeeeeeaaaabeeeeeeecbb eeeeecbbeeeeeeeeeeaaeeeedadeebbceeeeeedaaabeeeeeeeebb eeeeebbbeeeeeeeeeeaadeeeaadeecbbeeeeeeeaaaceeeeeeeebb eeeeebbceeeeeeeeeefaaeeeaafeeebbeeeeeeeaadeeeeeeeeebbg eeeeebbeeeeeeeeeeeeaaeeeaaeeeebbeeeeeeeaadeeeeeeeeebbe eeeeebbeeeeeeeeeeeeaadeeaaeeeebbceeeeeeaadeeeeeeeeebbc eeeecbbeeeeeeeeeeeefaaeeaaeeeebbbeeeeeecaceeeeeeeeecbb eeeebbbeeeeeeeeeeeeeaaefaaeeeecbbeeeeeebbceeeeeeeeecbb eeeebbceeeeeeeeeeeeeaadfaaeeeeebbeeeeeebbeeeeeeeeeeebb eeeebbeeeeeeeeeeeeeefaadaaeeeeebbceeeeebbeeeeeeeeeeebbc eeeebbeeeeeeeeeeeeeeeaaaadeeeeebbbeeeecbbeeeeeeeeeeebbbbe eeecbbeeeeeeeeeeeeeeeaaaafeeeeecbbeeeebbceeeeeeeeeeegcbbbbe eeebbceeeeeeeeeeeeeeefaaaeeeeeeebbeeeebbceeeeeeeeeeeg cbbbbg eeebbceeeeeeeeeeeeeeeeaaaeeeeeeebbeeeebbeeeeeeeeeeeeg cbbbbg gggbbgggggggggggggggggaaagggggggbbcggebbgggggggggggg bbbbbg gbb gaa cbb cbb gbbbbb cbb dg gbb bbc gbbbbc g bbg bbg gbbbbc bbc bb ebbbbc cbbebb ebbbbe gbbbbc cbbbbe bbbbe cbbbbg bbbb cbbbbg bbbb bbbbb ebbb gbbbbb bbc gbbbb bbg gbe gc ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#04f5e3ff b,#914246ff c,#c8a2a4ff d,#4af4e8ff e,#a07476ff f,#9ffaf4ff g,#e4d2d2ff ``` ```image daaaa cbbbbg cbbbbg daaaafaaaaf faaaaf ebbbb gbbbbc daaaa aaaaf fffff aaaad bbbbe bbbbe aaaad aaaad ffffdddddaaaaaaaaaa daaaa gbbbbc ebbbb aaaad daaaa faaaaaaaaaaaaaaaaaaaa faaaaf cbbbbg cbbbbg aaaaf daaaa daaaaaaaaaaaaaaaaaaaa aaaad cbbbb gbbbbc faaaaf faaaaf daaaaaaaaaaaaaaaaaaaa daaaa ebbbb bbbbc faaaaf faaaaf aaaaaaaaadddddffffff faaaaf bbbbe ebbbe faaaa aaaad aaaad aaaad gbbbbc cbbbb daaaa daaad aaaad daaaa cbbbbg cbbbbg daaaa daaaa aaaad faaaaf ebbbb gbbbbc daaad faaaa aaaad aaaad ebbbe bbbbe aaaad faaaaf aaaaf daaaa bbbbc ebbbb aaaaf aaaaf aaaaf faaaaf gbbbbc cbbbbg faaaaf aaaad aaaaf aaaad cbbbbg gbbbbc faaaaf daaaa aaaaf daaaa ebbbb bbbbe faaaa daaaa faaaaf faaaaf bbbbe ebbbb daaaa faaaaf faaaaf aaaad bbbbc cbbbbg daaaa aaaaf faaaaf daaaa gbbbbg gbbbbc daaad aaaad faaaaf faaaafcbbbbg bbbbe aaaad daaad faaaaf gc aaaadebbbb ebbbb aaaad daaaa faaaa cbbbg daaaaebbbe cbbbb aaaaf faaaaf faaaa bbbbc faaaaebbbc cbbbbg faaaaf faaaaf faaaa gbbbbe aaaaabbbg gbbbbc faaaa aaaad faaaa cbbbbb daaaabbb bbbbe faaaa aaaad daaaa cbbbbb faaaaebb ebbbb daaaa daaaa daaaa ebbbbbg aaaaabe cbbbbg daaad faaaa daaaa bbbbbbc daaaabc gbbbbc aaaad faaaaf daaaa gbbbbbbc faaaaeg bbbbe aaaad aaaaf daaad cbbbbbbe aaaaa ebbbb aaaaf aaaad daaad ebbbbbbb daaaa cbbbbgfaaaaf daaad daaad bbbbbbbb eaaaaf gbbbbcfaaaaf daaaa daaad gbbbbbbbbg gbaaaad bbbbefaaaa faaaaf aaaad gbbbbbbbbc cbdaaaa ebbbbdaaaa faaaaf aaaad cbbbbbbbbc ebeaaaaf cbbbbdaaad aaaad aaaad ebbbbbbbbe bbbaaaad gbbbbaaaad aaaad aaaad bbbbeebbbe gbbbdaaaa bbbbaaaad daaaa aaaaf gbbbbccbbbb gbbbeaaaaf bbbbaaaaf faaaa aaaaf cbbbbgcbbbbg cbbbbaaaad ebbeaaaaf faaaaf aaaaf ebbbb gbbbbg ebbbbdaaaa cbbeaaaaf aaaaf aaaaf ebbbe bbbbc bbbbefaaaaf gbbeaaaa aaaad faaaaf bbbbc bbbbe gbbbbc aaaad bbdaaaa daaaa faaaaf gbbbbc ebbbe cbbbbg daaaa ebaaaaa daaaa faaaaf cbbbbg ebbbb cbbbb faaaaf cbaaaad faaaaf faaaaf ebbbb cbbbbg ebbbe aaaad gbaaaad faaaaf faaaaf bbbbe gbbbbg bbbbe daaaa baaaaf aaaad faaaa gbbbbc gbbbbc gbbbbc faaaaf eaaaaf aaaad faaaa cbbbbg bbbbe cbbbbg aaaad caaaaf daaaa faaaa cbbbb ebbbe ebbbb daaaa daaaac faaaa faaaa ebbbb ebbbb ebbbe faaaaf daaaac faaaaf daaaa bbbbe cbbbbg bbbbc aaaad daaaae aaaaf daaaa gbbbbc gbbbbg gbbbbc daaaa daaaab aaaad daaaa cbbbbg gbbbbc cbbbbg faaaaf aaaadbg daaaa daaaa ebbbb bbbbe ebbbb aaaad aaaaebc daaaa daaaa bbbbe ebbbe bbbbe daaaa faaaaebe faaaaf daaad bbbbc ebbbb gbbbbc faaaaf faaaaebb faaaaf daaadgbbbbc cbbbb gbbbbg aaaad faaaabbbg aaaad daaadcbbbbg gbbbb cbbbbg daaaa daaaabbbc daaad aaaadebbbb gbbbb ebbbb faaaaf daaaabbbe daaaa aaaadbbbbe bbbb bbbbe aaaad daaaabbbb faaaa aaaadbbbbc ebbb gbbbbc daaaa aaaadbbbbg faaaafaaaadbbbbg ebbb cbbbbg faaaaf aaaadbbbbc aaaadaaaadbbbb cbbb cbbbb aaaad aaaafbbbbc aaaadaaaadbbbe gbbb ebbbe daaaa faaaafebbbe daaaaaaaaebbbe gbbb bbbbe faaaaf faaaa ebbbb daaaaaaaaebbbc bbb gbbbbc aaaad faaaa cbbbbg faaaaaaaaebbbg ebb cbbbbg daaaa daaaa gbbbbc faaaaaaaaebbb ebb ebbbb faaaaf daaad bbbbe aaaaaaaaebbe cbb bbbbe aaaad aaaad ebbbb daaaaaaaebbc cbb bbbbc daaaa aaaad cbbbbg daaaaaaaebbg gbb gbbbbc faaaaf aaaaf gbbbbc faaaaaaaebb bb cbbbbg aaaad faaaaf bbbbe faaaaaaabbb bb ebbbb daaaa faaaaf ebbbb aaaaaaabbe eb bbbbe faaaaf faaaa cbbbbg aaaaaaabbc cb gbbbbc aaaad daaaa gbbbbc daaaaaabbg cb gbbbbg daaaa daaad bbbbe faaaaaabb gb cbbbbg faaaaf aaaad ebbbe faaaaaabe b ebbbb aaaad aaaad cbbbb aaaaaabc b bbbbe daaaa aaaaf cbbbbg aaaaaabc e gbbbbc faaaaf faaaaf gbbbbc daaaaabg c cbbbbg aaaad faaaaf bbbbe daaaaab c cbbbb daaaa faaaa ebbbb faaaaae g ebbbe faaaaf daaaa cbbbbg faaaaac bbbbe aaaad daaaa gbbbbc aaaadg gbbbbc daaaa aaaad bbbbe aaaad cbbbbg faaaaf aaaad ebbbb eaaae ebbbb aaaad aaaaf cbbbbg beebe bbbbe daaaa faaaaf gbbbbc gbbbbc bbbbc faaaaf faaaaf bbbbe cbbbbg gbbbbc aaaad faaaa ebbbb ebbbb cbbbbg daaaa daaaa cbbbb bbbbe ebbbb faaaafdaaaa cbbbbg bbbbc bbbbe aaaaddaaad gbbbbc gbbbbg gbbbbc daaaaaaaad bbbbe cbbbbg gbbbbg faaaaaaaaf ebbbb ebbbb cbbbb aaaaaaaaf cbbbbg bbbbe ebbbb daaaaaaaf gbbbbc gbbbbc bbbbe faaaaaaa bbbbe cbbbbg gbbbbc aaaaaaa ebbbb cbbbb cbbbbg daaaaaa cbbbbg ebbbe ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#04f5e3ff b,#914145ff c,#c8a1a3ff d,#49f5e9ff e,#a46e70ff f,#a7fbf4ff g,#e4d2d3ff ``` ```image bb bb cbbc ebbb bbbb bbbb bbbbg dad cbbebe da faa bbecbb aaf aa bbg bb aad aad bb bbg aaa faa gbb bbe faaa aa cbb cbb faaa aad bbc bb daaa faa bbg bb aaaaf aa bb bbc aaaad fff aad gbb ebb aadaa fffddaaaaaaaaaaaaaa faa ebb gbb aa aa fffddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aa bbc bb aa aa aaaaaaaaaaaaaaaaaaaaaaaaaaaadddfff aad bb bbc faa aaf aaaaaaaaaaaadddfff faa bb ebe faa aad aa aa cbb cbb daa daa aa aad ebe bb aad faa aa faa bbc bbg aaf aa aa aa bb bbe aa aa faa aad bb cbb aa aaf faa faacbb bb aa dad faa c aaebe bb faa faa faa bbc aaabg bbc faa aa daa bbb faab ebb daa aa daa bbb aab gbb aad aaf daa gbbb aaa bb aaf aad dad ebbb eaa bbcaaf daa dad bbbbg baa ebbaa faa aad bbbbc baad gbbaa aa aad bbebe gbeaa bbaa aa aaf cbbcbb ebbaa beaa aaf aaf ebe bb bbcaad bdaa daa aaf bbc bb bb faa caad faa aaf bb bbg bb aa aaf aa aafgbb bbc cbb aad aaf aa aa cbb ebe ebe faa aac aaf aa bbe cbb bbc aa aab aad aa bbg gbb bb aad aab daa aa bb bb gbb faa faab faa aagbb bbg cbb aa daabc aa aaebb bbc bbe aad daabb aafaabbc ebe bbg faa aadbb aadaabb cbb bb aa aafbb daaaabb gbb gbb aad aa bbg faaaabb bb ebb faa aa bbe aaaabe bb bbc aa aa cbb aaaabg bbc bbg aad faa bb aaaab ebe bb faa faa bbg aaaab cbb gbb aa dad bbc daaab gbb ebb aad aad cbb faaac bb bbc faa aaf gbb aaag bb bb aa aa bb aaa bbc bb aad aa bbc aad bbe cbb faa aa ebb eae cbb ebe aa faa gbb bbc gbb bbc aadfaa bb bb bb bb faadaa bbg bb bbc gbb aaaad bbe cbb bbbbc cbb aaaaf cbb bbe cbbbbg bbe faaa bb bbg ebbbbg bbg aaa bbg bb ebbbbg bb aaa bbe gbb bbbbb gbb faa cbb ebb bbbbe ebb df gbb bbc gbbbbe bb bb gbbbbe bbc bb gbbbbc ebbcbb cbbbbc gbbebe cbbbbg bbbbc ebbbbg bbbb ebbbb ebbb bbbbb cbbb bbbbe bbe gbbbb bbg gbc ge ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#68489cff b,#d5ccddff c,#74485aff d,#887288ff e,#a293b8ff f,#b1d7b1ff g,#97c596ff ``` ```image cb cce dcc bcc cc cce dcc fgggggggggggggggggggccgf gffffffffffffffffffccffg gfffffffffffffffffccdffg gffffffffffffffffdccfffg gfffffffffffffffgccffffg gfffffffffffffffccfffffg gffffffffffffffccdfffffg gfffffffffffffdccffffffg bbbb gffffffffffffgccfffffffg aaaaaaaaaaaaaaeeebb gffffffffffffccffffffffg aaeedaaaaaaaaaaaaaaaaaaaaaaaadeebbb gfffffffffffccdffffffffg aa bbeeeaaaaaaaaaaaaaaaaaaaaaaaaaddeecccfffffffffg aa bbbeedaaaaaaaaaaaaaccaaaaaaaaaadebb ae gfffffffgeccdaaaaaaaaaaaaae bae gffffffffccdfffffffffffgbbb bae gfffffffdccffffffffffffg eab gffffffgccfffffffffffffg eab gffffffccffffffffffffffg da gfffffccdffffffffffffffg aa gffffdccfffffffffffffffg aa gfffgccffffffffffffffffg gggggggggggaagggggggggg gfffccfffffffffffffffffg fffffffffffaaffffffffff gffccdfffffffffffffffffg fffffffffffaaffffffffff gfdccffffffffffffffffffg fffffffffffaaffffffffff ggccfffffffffffffffffffg fffffffffffaaffffffffff ccb fffffffffffaaffffffffff cce d fffffffffffaaffffffffff dcc bcccdgfffffffffgadffffffffff bcc bcccccdfffffffeaeffffffffff cc bcccccdffffeaeffffffffff cce ffgcccccdfdagffffffffff dcc fffffgccccccgffffffffff bcc ffffffffgcccccdffffffff cc ffffffffffaacccccdfffff cce ffffffffffaaffgcccccdff dcc ffffffffffaafffffgcccccd bcc ffffffffffaaffffffffgcccccd cc ffffffffffaafffffffffffbcccccdb cce ffffffffffaafffffffffff bcccccdb dcc ffffffffffaafffffffffff bcccccdb bcc ffffffffffaafffffffffff bcccccdcc ffffffffffadfffffffffff bcccce fffffffffgadfffffffffff be fffffffffeaefffffffffff gggggggggdagggggggggggg eab da aa aa aa aa aa aa aa aa ad bae bae eab eab ea aa aa aa aa aa aa aa aa bedaaaa beaaaaaaaaaaab aaaaaaaeb eb ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#67479bff b,#d1c5d7ff c,#73475aff d,#9c7d8bff e,#b8a6c4ff f,#eae5eeff g,#9079b7ff ``` ```image faaag faaag baaae baaae eaaae eaaab eaaab gaaaf gaaaf gaaaf gaaa aaaa aaaa aaag faaag def faaag cccdef baaae ccccccdef baaae cccccccccdef baaae bdccccccccccdef eaaab bdccccccccccdef eaaab bdccccccccccdef eaaab bdccccccccccddaaaf bdcccccccccccaf bdccccccccccdef bdccccccccccdef bcccccccccccdef aaacccccccccccdef faaag bdccccccccccdef faaag bdccccccccccdef faaag bdccccccccccde baaae bdccccccccc baaae bdcccccc eaaae bdccc eaaab bd eaaab gaaaf gaaaf gaaaf gaaa aaaa aaaa aaag faaag faaag baaae baaae baaae eaaab ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area A! Alright, let's concentrate on the next area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#68489cff b,#d2c6d5ff c,#74475aff d,#92707fff e,#b29db5ff f,#ede8eeff g,#8d75b4ff ``` ```image bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce ggeeebbbfff fccccd aaaaaaaaaaaaaagggeeebbbdccccf aaaaaaaaaaaaaaaaaaaaaacccccaaggggeeebbbfff aaaaaaaaaaaaaaaaaaaaaacccccaaaaaaaaaaaaaaaaaagg ffbbbeeeggggaaaaaaaaacccccaaaaaaaaaaaaaaaaaaaaa ffbbbdccccggaaaaaaaaaaaaaaaaaaaa eccccb fffbbbeeeggggaaaa bcccce f fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb bcccce fccccd dccccf eccccb ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#67479cff b,#d1c5d7ff c,#74485aff d,#93707fff e,#ab97bcff f,#eae5ecff g,#846aaeff ``` ```image cb cce dcc bcc ccf cce dcc bcc ccf cce dcc bcc ccf cce dcc fbbf bcc aaaaaaaaaaaaaggeebff ccf aaeggaaaaaaaaaaaaaaaaaaaaaaaageebbf cce aa ffbeeggaaaaaaaaaaaaaaaaaaaaaaaggeebdcc ag fbbeggaaaaaaaaaaaaaccaaaaaaaaageebf fag ffbccggaaaaaaaaaaaae bae cce fbbb bae dcc eab bcc eaf ccf ga cce aa dcc aa bcc aa ccf aa cce aa dcc aa bcc aa ccf aa cce df ag dcc fcccdf fae bcc bcccccdf bae ccf bcccccdf eab cce bcccccdfeab dcc bccccccf bcc bcccccdf ccf aacccccdf cce aa bcccccdf dcc aa bcccccdf bcc aa bcccccdf ccf aa bcccccdf cce aa bcccccdf dcc aa bcccccdf bcc ag bcccccdccf fag bcccce bae be bae eab eaf ga aa aa aa aa aa aa aa aa ag fae bae eab eab gaf ga aa aa aa aa aa aa aa begaaag beaaaaaaaaaaab aaaaaagebf eb ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#f82e19ff b,#93be18ff c,#b2d8b1ff d,#fcb1aaff e,#eb7a66ff f,#b0d164ff g,#97c995ff ``` ```image gcccccccccccccccccc gcccccccccccccccccc gcccccccccccccccccc gcccccccccccccbbccc gccccccccccccfbfccc gccccccccccccbbgccc dd gccccccccccccbbcccc aa gccccccccccccbbcccc daa gccccccccccccbbcccc aaad gccccccccccccbagccc aaae gcccccccccccfaaeccc aadaa gcccccccccccbaacccc aa aa gcccccccccccaaecccc dae aa gcccccccccccaaccccc aa aa gccccccccccaabccccc aa ead gccccccccccaabccccc aad dae gcccccccccaabfccccc bc aa aa gcccccccccaabcccccc bbc dae aa gccccccccaabbcccccc bbc aa aa gcccccccgaabbcccccc bbc aa aa gcccccccaacbbcccccc bbc aad ead gcccccceaagbfcccccc bbf aa dae gccccccaacfbfcccccc bbf dae aa gccccceaacbbccccccc bbf aa aa gcccccaaccbbccccccc bbf aa aa gcccceaaccbbccccccc bbf aad aa gccccaacccbbccccccc bbf aa ead gccceaeccfbfccccccc bbf dae dae gcccaacccfbgccccccc bbf aa aa gccaaecccbbcccccccc bbf aa aa gccaaccccbbcccccccc bbf aad aa gcaaeccccbbcccccccc bbf aa aae gcaacccccbbcccccccc bbbggggggggggggggeaagggggc aae gaaeccccfbfcccccccc bbbcccccccccccccaaccccccg aae gaacccccbbgcccccccc bbbccccccccccccaaccccccg aae aagcccccbbccccccccc gbbbccccccccccaaeccccccg aae daaccccccbbccccccccc gcbbbcccccccccaacccccccg aae aacccccccbbccccccccc gccbbbccccccceaacccccccg aae daacccccccbbccccccccc gcccbbbccccccaaccccccccg aae aagccccccfbfccccccccc gccccbbbcccccaaccccccccg aae daagccccccbbcccccccccc gcccccbbbcccaaeccccccccg aae aa gccccccbbcccccccccc gccccccbbbccaacccccccccg aae eaa cggggggbbgggggggggg gcccccccbbbeaacccccccccg aaeaa bb gccccccccbbaaccccccccccg aaae bf gcccccccccbaaccccccccccg aa fbc gcccccccccaabbcccccccccg bb gcccccccccaabbbccccccccg bb ad gcccccccceaacbbbcccccccg bb aa gccccccccaacccbbbccccccg bb daa gccccccccaaccccbbbcccccg cbf aaa gcccccccaaecccccbbbccccg fbc aad gcccccccaacccccccbbbcccg bb aa gcccccceaaccccccccbbbccg bb daa gccccccaaccccccccccbbbcg bb aaa gccccccaacccccccccccbbbg bb aad gcccccaaeccccccccccccbbb cbf aa gcccccaaccccccccccccccbbb fbc daa cggggeaagggggggggggggggbbb bb aaa aa fbb bb aae aa fbb bb aa aad fbb bb daa aa fbb cbf eaa dae fbb fb aae aa fbb bb aa aa fbb bb daa aad fbb bb eaa aa fbb bf aae dae fbb cbc aa aa fbb bb daaaa fbb bb eaad cbb bb aa cbb bb cbb bf cbb fbc cbb bb cbbc bb cbbc bb cbbc bb cbbccbf cbbbbc cbbb bb ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#f82c17ff b,#94bf1aff c,#cee196ff d,#fcb6aeff e,#f75642ff f,#f98172ff g,#eeefd6ff ``` ```image bb daaae bbb eaaad bbbb daaaa bbbbbg faaaf cbbbbbg aaaag cbbbbbg daaae cbbbbbg eaaad cbbbbbg daaaa cbbbbbg faaaf cbbbbbg aaaag cbbbbbg daaae cbbbbbg eaaad cbbbbbg daaaa cbbbbbg faaaf cbbbbbg aaaag cbbbbbg daaae cbbbbbg eaaad cbbbbbg daaaa cbbbbbg faaaf cbbbbbg aaaag cbbbbbgdaaae cbbbbbeaaad cbbbbaaaa cbbeaaaf cbaaaac faaaabg eaaabbbg daaaabbbbg faaafbbbbbc aaaaggbbbbbc daaae gbbbbbc eaaad gbbbbbc daaaa gbbbbbc faaaf gbbbbbc aaaag gbbbbbc daaae gbbbbbc eaaad gbbbbbc daaaa gbbbbbc faaaf gbbbbbc aaaag gbbbbbc daaae gbbbbbc eaaad gbbbbbc daaaa gbbbbbc faaaf gbbbbbc aaaag gbbbbbc daaae gbbbbb eaaad gbbbb daaaa gbbb faaaf gbb ``` <!-- end of image --> Area A contains 1 intersection. Moving on to the next area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f82e18ff b,#94bd17ff c,#d1e39eff d,#fba59bff e,#f96e5eff f,#b1d059ff g,#f4e9d8ff ``` ```image ccg bbbf gbbbf cbbbc fbbbc fbbbg bbbb gbbbb gbbbf cbbbc fbbbc fbbbg bbbb gbbaaeg cbbaaaag cbaaaae fbaaaag faaaae baaaag gaaaae daaaag aaaae daaaac aaaabg daaaab aaaabf daaaabf gaaaabbc eaaaabbg gaaaabbb eaaaabbb gaaaabbbf eaaaebbbc gaaaafbbbc eaaaefbbbg daaaagbbbb eaaaegbbbf daaaaggbbbf aaaad cbbbc daaaa fbbbc aaaad fbbbg daaaa bbbb aaaad gbbbf daaaa cbbbf gaaaad cbbbc eaaae fbbbc gaaaad fbbbg eaaae bbbb gaaaag gbbbf eaaae cbbbf gaaaag cbbbc eaaae fbbbg daaaag bbbb eaaae bbbb daaaag gbbbf aaaad cbbbf daaaa cbbbc aaaad fbbbg daaaa bbbb aaaad bbbb daaaa gbbbf gaaaad cbbbc eaaae fbbbc gaaaad fbbbg eaaae bbbb gaaaag gbbbf eaaae gbbbf aaaag cbbbc aaae fbbbc aaag fbbbg aae bbbb aag gbbbf ad cbbbf a cbbbc d fbbbc fbbbg bbbb gbbbf cbbbf ``` <!-- end of image --> Area B contains 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f82c17ff b,#93be17ff c,#cbe091ff d,#fcaaa1ff e,#fa6657ff f,#adce50ff g,#edeacfff ``` ```image bf cbc fbg gg bb aa bb daa bb aaag gbag aaad caae eadaa faa aa aa aae dae aa aa aa aa aab aa eag aaf ead dae aabc bc aa aa gaab gbbc dae aa aabb gbbc aa aa gaabb gbbc aa aa aagbb gbbc ead ead daagbf gbbc aa dae aa fbg gbbc dae aa daa bb gbbc aa aa aa bb bbf aa aa eae bb bbf ead aa aa bb bbf aa ead eae cbc bbf dae dae aa fbg bbf aa aa eae bb bbf aa aa aa bb bbf ead aa aad bb bbf aa aae aa bb bbf dae aae aad cbc bbf aa aae gaa fbg bbf aa aae aag bb bbf ead aae gaa bb bbf aa aae aag bb bbb dae aae daa gbf bbb aa aae aa cbc bbb aa aae daa fbg bbb ead aae aa bb bbb aa aae eae bb bbbdae aaeaa bb bbaa aaae gbf baa aa cbc eabb bb aabbb bb ad dae bbb bb aa aa bbb bb daa aa bbb gbf eaa ead bbb fbg aad aa bbb bb aa dae bbb bb daa aa bbb bb eaa aa bbb bb aad ead fbb cbc aa aa fbb fbg daa dae fbb bb eaa aa fbb bb aad aa fbb bb aag ead fbb bf daa aa fbb cbc eaa dae fbb fbg aad aa fbb bb aag aa fbb bb daa ead fbb bb eaa aa fbb gbf aae dae cbbg cbc aagaa cbbg fb daaaa cbbg bb eaad cbbg bb aa cbbg bb cbbg gbf cbbg cbc cbbg bb cbbg bb cbbg bb gbbg bb gbbggbf gbbfbg gbbb gbb g ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#6cbb82ff b,#c3faf2ff c,#b1d7b1ff d,#e9f9f4ff e,#bfe9d3ff f,#4dae69ff g,#93ca98ff ``` ```image d fffd affffa dfffffffe fffaafffff dfff dfffffg fffg cfffffe efff afffff fffc dfffffc cfff gfffffd fffe fffffa cfff efffffc fffe gffffc gfff dfff fffd ed afff fff affa dfff fffa dfff d fffg bbb efff bbb fffc bbb cfff bbb dbb fffe dbbb bbbd cfff dbbd bbbb fffd bbbd bbbb gfff bbb bbbbd fffd bbb bbbbb afff bbb bbbbb fff bbb dbbbbbd affa dbbb dbbbbbb dfff dbbd dbbdbbb fffa bbbd bbb bbbd dfff bbb bbb bbb fffg bbb bbb bbb cfff bbb bbb bbbd afffc bbb bbb bbb dfffff dbbb bbb bbb effffc dbbd dbbb bbbd affffd bbbd dbbd bbb fffff bbb ggggggebbcggggbbbggggggggggggggggggceffffg bbb ccccccbbbcccccbbbecccccccccccccccccaffffe bbb ccccccbbbccccccbbbccccccccccccccccfffff bbb ccccccbbbccccccbbbcccccccccccccccffffa dbbb ccccccbbbccccccbbbeccccccccccccaffffe dbbd ccccccbbbcccccccbbbcccccccccccfffffg bbbd ccccccbbbcccccccbbbccccccccccfffffcg bbbb cccccebbecccccccbbbbcccccccgffffgccg bbbbbb cccccebbeccccccccbbbbcccccfffffccccg bbbbb cccccebbeccccccccebbbbbccfffffcccccg bbbbbb cccccbbbcccccccccccbbbbbffffaccccccg bbbbb cccccbbbccccccccccccebbbbgfgcccccccg bbbbbb cccccbbbcccccccccccccabbbbbccccccccg dbbbbb cccccbbbcccccccccccgfffbbbbbcccccccg bbbbbb cccccbbbccccccccccaffffgebbbbecccccg dbbbbb cccccbbbcccccccccfffffccccbbbbbccccg bbbbbb ccccebbeccccccccffffaccccccbbbbbeccg dbbbbb ccccebbeccccccaffffgcccccccccbbbbbcg bbbbbd ccccbbbccccccfffffccccccccccccbbbbbg dbbbbb ccccbbbcccccfffffccccccccccccccebbbbd bbbbbd ccccbbbcccgffffacccccccccccccccccbbbbb dbbbbb ccccbbbccaffffccccccccccccccccccccbbbbbd bbbbbd ccccbbbcfffffcccccccccccccccccccccccbbbbb dbbbbb ccccbbbffffacccccccccccccccccccccccg bbbbb bbbbbd ccccbbefffgccccccccccccccccccccccccg bbbbbd dbbbbb cccebbcffccccccccccccccccccccccccccg bbbbb bbbbbd ccgcbbgacccccccccccccccccccccccccccg bbbbbbbbbb ccfebbgccccccccccccccccccccccccccccg dbbbbbbd ccabbbcccccccccccccccccccccccccccccg bbbb cccbbbcccccccccccccccccccccccccccccg dd cccbbbcccccccccccccccccccccccccccccg cccbbbcccccccccccccccccccccccccccccg cccbbbcccccccccccccccccccccccccccccg cccbbbcccccccccccccccccccccccccccccg ccebbecccccccccccccccccccccccccccccg ccebbecccccccccccccccccccccccccccccg ccbbbccccccccccccccccccccccccccccccg ccbbbccccccccccccccccccccccccccccccg ccbbbccccccccccccccccccccccccccccccg dddddddddddddddddddddddddddddddddddd ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#6bbc83ff b,#c3faf2ff c,#adddc0ff d,#e4fbf7ff e,#d4ebdbff f,#4dae69ff g,#8ccca1ff ``` ```image bbbbbbd dbbbbbb bbbbbbd bbbbbb bbbbbb bbbbbbd d bbbbbb dbbbbbb ea bbbbbb dbbbbbb cff dbbbbbb bbbbbbd gfff dbbbbbd dbbbbbb daffff dbbbbbd dbbbbbb cffffff dbbbbbd bbbbbbd gfffffff bbbbbbd dbbbbbb daffffffff bbbbbb dbbbbbb efffffffffg bbbbbb bbbbbbd cfffffffffc bbbbbb dbbbbbb daffffffffae bbbbbb dbbbbbb eaffffffffgd dbbbbbb bbbbbbbd cfffffffffc dbbbbbd dbbbbbbbd gffffffffae dbbbbbd dbbbbbbbbbd eaffffffffad dbbbbbd dbbbbbbbbbd cfffffffffc bbbbbbd dbbbbbbbbbb gfffffffffe bbbbbb bbbbbbbbbbddaffffffffad bbbbbb dbbbbbbbbbcffffffffg bbbbbb dbbbbbbbbbbafffffc bbbbbb bbbbbbbbbbgffae dbbbbbb dbbbbbbbbbcg dbbbbbd cabbbbbbbbbbd dbbbbbd dgfffcbbbbbbbbbd dbbbbbd eafffffabbbbbbbbbb bbbbbbd cffffffffabbbbbbbbbbd bbbbbb gfffffffffe dbbbbbbbbbd bbbbbb eaffffffffad dbbbbbbbbbbd bbbbbb cfffffffffg dbbbbbbbbbd dbbbbbb gfffffffffe dbbbbbbbbbb dbbbbbd daffffffffad bbbbbbbbbbd dbbbbbd efffffffffg dbbbbbbbbbd dbbbbbd cfffffffffc dbbbbbbbbbbd dbbbbbd daffffffffae bbbbbbbbbbd bbbbbbd eaffffffffg dbbbbbbbbbb bbbbbb cfffffffffc bbbbbbbbb bbbbbb dgffffffffae dbbbbbbb bbbbbb eaffffffffad dbbbbbb dbbbbbb cfffffffffc bbbbb dbbbbbd gfffffffffe dbbb dbbbbbd daffffffffad dbb dbbbbbd efffffffffg d bbbbbbd gfffffffffc bbbbbbdaffffffffae bbbbbbaffffffffg bbbbbbffffffffc bbbbbbffffffae dbbbbbcfffffgd dbbbbbcffffc cbbbbbgfffe eacbbbbbgfad cffcbbbbbag dfffbbbbbbe cffbbbbbb gfbbbbbb gbbbbbb dbbbbbb dbbbbbd dbbbbbd dbbbbbd bbbbbbd bbbbbb bbbbbb bbbbbb dbbbbbb dbbbbbb dbbbbbd dbbbbbd dbbbbbd bbbbbbd bbbbbb bbbbbb bbbbbb dbbbbbb ``` <!-- end of image --> The close-up clearly shows 2 intersections point in area A. Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#65b87dff b,#c3faf3ff c,#a9d9b9ff d,#e5fbf6ff e,#d0e9d8ff f,#4dae69ff g,#87c99bff ``` ```image d fffd affffg dfffffffe fffgafffff dfff dfffffg fffg cfffffe efff affffa fffc efffffc cfff gfffffd fffe fffffa cfff efffffc fffe gffffc gfff fff fffd cd afff fff affa dfff fffg dfff d fffg bbb efff bbb fffc bbb cfff bbb dbb fffe dbbb bbbd cfff dbbd bbbb fffe bbbd bbbb gfff bbb bbbbd fffd bbb bbbbb afff bbb bbbbb fff bbb bbbbbd affa dbbb dbbbbbb dfff dbbd dbbdbbb fffg bbbd bbb bbbd dfff bbb bbb bbb fffg bbb bbb bbb cfff bbb bbb bbbd afffc bbb bbb bbb ffffa dbbb bbb bbb cffffc dbbd dbbb bbbd affffd bbbd dbbd bbb fffff bbb bbbd bbb effffg bbb bbb bbbd gffffe bbb bbb dbbb fffff bbb bbb bbb dffffa dbbb bbb bbbd gffffe dbbd bbb dbbb affff bbbd bbb bbb dffffa bbbb dbbb bbbb cffffc bbbbbb dbbd dbbbbd affffd bbbbb bbbd dbbbbb fffff bbbbbb bbb bbbbbffffg bbbbb bbb bbbbbgfd bbbbbb bbb abbbbb bbbbb bbb efffbbbbb bbbbbb bbb gffffedbbbbd dbbbbb bbb fffff bbbbb bbbbbd dbbd dffffa bbbbbd dbbbbb dbbd cffffc dbbbbb bbbbbd bbbd affffd bbbbb dbbbbb bbb dffffa dbbbbd bbbbbd bbb cffffc bbbbb dbbbbb bbb affffd bbbbbd bbbbbd bbb fffff dbbbbb dbbbbb bbbffffg bbbbb bbbbbd bbbfffe dbbbbd dbbbbb dbbcff bbbbb bbbbbd ecbbgg bbbbbbbbbb dfbbbe dbbbbbbd gbbb bbbb bbb dd bbb bbb bbb dbbb dbbd dbbd bbb bbb bbb ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#83333fff b,#d51494ff c,#c682a3ff d,#9b6d6eff e,#e3c1d0ff f,#b1d7b1ff g,#98c596ff ``` ```image aa aaa aaaa aaaaa aaaeaa daae aae caac aac eaad aac eaaa aad aaa daa aaa caa aaa eaa aaa eaa aaae aa daae aa caac aa eaad aae eaaa aae aaa aac aaa aad aaa daa aaa caa c aaae eaa bbb daae eaa bbbc gggggggggggggggggggggggggfdaac aa bbbc fffffffffffffffffffffffffdaad aa bbbc ffffffffffffffffffffffffgaad aa bbbc fffffffffffffffffffffffgaaa gffffffffaagfffffffffffg bbbc fffffffffffffffffffffffaaa fffffffffaagfffffffffffg bbbc ffffffffffffffffffffffaaag fffffffffaadfffffffffffg bbbe fffffffffffffffffffffaaafg fffffffffaadfffffffffffg bbbe ffffffffffffffffffffaaagfg fffffffffdaafffffffffffg bbbe fffffffffffffffffffaaagffg fffffffffdaafffffffffffg bbbe ffffffffffffffffffdaadfffg fffffffffdaafffffffffffg bbbe fffffffffffffffffdaadffffg fffffffffgaafffffffffffgbbbe ffffffffffffffffgaaafffffg ffffffffffaafffffffffffbbbe fffffffffffffffgaaaffffffg ffffffffffaaffffffffffbbbe fffffffffffffffaaafffcbbbg ffffffffffaaffffffffbbbb ffffffffffffffaaacbbbbbbbc ffffffffffaaffffffbbbbbg ffffffffffffcaaabbbbbbbbbb ffffffffffaagfffbbbbbcfg ffffffffcbbbaaabbbcfffffbbe ffffffffffaadfbbbbbcfffg fffcbbbbbbbaaacfffffffffbbb ffffffffffaaabbbbcfffffg ecbbbbbbbbbcdaadfffffffffffbb ffffffffffaaabbcfffffffg cbbbbbbcfffdaadffffffffffffbbb ffffffffbbaaacfffffffffg bcfffffffgaaafffffffffffffcbb ffffffbbbbbaaffffffffffg fffffffgaaaffffffffffffffgbbc ffffbbbbbcgaaffffffffffg fffffffaaafffffffffffffffgcbb ffbbbbbcfffaaffffffffffg ffffffaaaffffffffffffffffg bbe bbbbbcfffffaaffffffffffg fffffaaafffffffffffffffffg bbb bbbbbcfffffffaaffffffffffg ffffaaaffffffffffffffffffg bbe cbbbbcfffffffffaaffffffffffg fffaaagffffffffffffffffffg bbb cbbbbefffffffffffaagfffffffffg eac ffdaagfffffffffffffffffffg bb cbbbbe fffffffffffaadfffffffffg aaa fdaadffffffffffffffffffffg bbbbbbbe fffffffffffaadfffffffffg aaa daadfffffffffffffffffffffg ebbbbe fffffffffffaadfffffffffg aaa aaaffffffffffffffffffffffg bbe fffffffffffdaafffffffffg caae aagffffffffffffffffffffffg fffffffffffdaafffffffffg eaad aagffffffffffffffffffffffg fffffffffffgaafffffffffg aaa aa fffffffffffgaafffffffffg aaa aa ffffffffffffaafffffffffg aaa aa ggggggggggggaagggggggggf daae aa aa eaad eaa aae aaa eaa aae aaa caa aac aaa caa aad daae daa daa eaac dad caa aaa aad eaa aaa aac eaa aaa aac aa daae aae aa eaac aae aa aaa aa aae aaa aa aae aaa aa aac daae aa aadcaac aa daaaad eaa caaaa eaa caaa caa eaa eda de ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#83323fff b,#d51193ff c,#bb9197ff d,#9f606bff e,#e1b3caff f,#e468baff g,#f1e0e8ff ``` ```image e ea gaa gaaa gdaaa daaaa daaaaa caaaaac caaaaad eaaaaad eaaaaadg gaaaaaag gaaaaaag gdaaaaae daaaaae daaaaac caaaaac caaaaad eaaaaad eaaaaadg gaaaaaag gaaaaaag gdaaaaae gefe daaaaae gefbbbbbf daaaaac geffbbbbbbbbbb caaaaadfbbbbbbbbbbbbbbb caaaaaabbbbbbbbbbbbbbbbb gedaaaaaabbbbbbbbbbbbbffbbb geffbbbaaaaaabbbbbbbbbffe gbbb gefbbbbbbbaaaaaabbbbbbfeg fbb geffbbbbbbbbbbaaaaaabbffe ebb gefbbbbbbbbbbbbbbaaaaaafg bb effbbbbbbbbbbbbbbbbbaaaaaae fb fbbbbbbbbbbbbbbbbbbbfedaaaaae gb bbbbbbbbbbbbbbbffeg daaaaac f bbbbbbbbbbbfeg caaaaac g bbbbbbffeg caaaaad bbfeg eaaaaad g eaaaaadg gaaaaaag gaaaaaag gdaaaaae daaaaae daaaaac caaaaac caaaaad eaaaaad eaaaaadg gaaaaaag gaaaaaag gdaaaaae daaaaae daaaaac caaaaac caaaaad eaaaaad gaaaaadg eaaaaag eaaaae caaaag caaaag caaaa ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Okay, let's direct our attention to the next zone. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#82323fff b,#d50f92ff c,#c0979eff d,#9f616bff e,#f0aedaff f,#dc39a5ff g,#e0cccfff ``` ```image caaaa caaaag caaaag gaaaag gaaaac gaaaac aaaac aaaad daaad daaad daaaa caaaa caaaa caaaag gaaaag gaaaac gaaaac aaaac aaaad e aaaad eb daaad efbb daaaa efbbbb caaaa efbbbbbb caaaa efbbbbbbbb caaaag efbbbbbbbbfe gaaaag efbbbbbbbbfe gaaaag efbbbbbbbbfe gaaaac efbbbbbbbbfe aaaacefbbbbbbbbfe aaaadbbbbbbbbfe aaaaabbbbbbfe eaaaaabbbbfe efbaaaaabbfe efbbbaaaaafe efbbbbbaaaaa efbbbbbbbbaaaag efbbbbbbbbfcaaaag efbbbbbbbbfe gaaaag efbbbbbbbbfe gaaaac efbbbbbbbbfe aaaac efbbbbbbbbfe aaaac efbbbbbbbbfe aaaad bbbbbbbbfe daaad bbbbbbfe daaad bbbbfe daaaa bbfe caaaa fe caaaag caaaag gaaaag gaaaac gaaaac aaaac aaaad daaad daaad daaaa caaaa caaaa caaaag gaaaag gaaaac gaaaac aaaac aaaad aaaad ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#82333fff b,#d51093ff c,#bb8f97ff d,#9f626cff e,#dfabc6ff f,#df4aadff g,#ecd6dfff ``` ```image aa aaa aaaa aaaaa aaagaa daae aag caac aae eaad aac gaaa dad aaa daa aaa caa aaa eaa aaa gaa aaag aa daae aa caac aa eaad aag gaaa aae gaaa aac aaa aad aaa daa aaa caa f aaag eaa fbb daae gaa fbbf daac aa fbbf caad aa fbbf gaad aa bbbf gaaa aag bbbe aaa aae bbbe aaa aac bbbe aaa aad bbbe aaag dad bbbe daae caa bbbe daac eaa bbbg caad gaa bbbg eaad aa bbbg gaaa aa bbbg aaa ebbb aa fbbbg aaafbbbbbbbe aag fbbbbg eaaabbbbbbffbb aae fbbbbg gfbbbaaabbbfg bbg aac fbbbbg efbbbbbbaaac bbb aadbbbbe gfbbbbbbbbbfdaae bb aaabbe ebbbbbfe caac bbf fbaaae bfg eaad gbb fbbbbaa gaaa bbf fbbbbeeaa aaa ebb fbbbbe gaa aaa bbe fbbbbe aa aaa fbb fbbbbe aa aaa bbg fbbbbe aa g aaag bbb fbbbbe aag gac daae gbb fbbbbe aae aaa caac bbbbbbbe aac aaa eaad ebbbbe dad aaa aaa bbe daa caae aag caa gaad aa eaa aaa aa gaa aaa aa aa aaa aa aa caae aa aa gaad gaa aag aaa eaa aae aaa caa aac aaa caa aad daag daa daa eaac dad caa aaa aad eaa aaa aac gaa aaa aac aa daag aae aa eaac aag aa gaad aa aag aaa aa aae aaa aa aac daag aa aadcaac aa daaaad gaa caaaa eaa caaa eaa gaag eda dg ``` <!-- end of image -->
[ "" ]
Based on a first glance, I suspect there could be intersection regions here. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b1d7b0ff b,#9cb95bff c,#4e9c81ff d,#ecf3e9ff e,#98c897ff f,#82a323ff g,#6faf93ff ``` ```image bb dfff dddddddddddddddddd ffff eaaaaaaaaaaaaaaaaaa dfffd eaaaaaaaaaaaaaaaaaa ffff eaaaaaaaaaaaaffbaaa fffa eaaaaaaggaaaafffeaa bfff eaaaaacccgaaafffaaa fffb eaaaacccccaaafffaaa afff eaaagcccccaabfffaaa ffff eaagccccccgafffbaaa dfffd eaeccccgcccafffeaaa ffff eaccccaacccafffaaaa fffa eccccaaacccefffaaaa bfff ccccaaaagcccfffaaaa fffb cccceaaaaacccfffaaaa afff cccceaaaaaacccffbaaaa ffff gcccgaaaaaaagcccfaaaaa dfffd gccccaaaaaaaaecccfaaaaa ffff acccceaaaaaaaaacccfaaaaa fffa acccc eaaaaaaaaaccccaaaaa bfff dcccc eaaaaaaaaafcccaaaaa fffb dcccc eaaaaaaaaafcccaaaaa afffd ccccd eaaaaaaaaafcccgaaaa ffff ccccd eaaaaaaaaaffcccaaaa dfffd cccca eaaaaaaaabffcccaaaa ffff cccce eaaaaaaaafffcccgaaa fffb gcccg eaaaaaaaafffgcccaaa bfffe ecccg eaaaaaaaafffacccaaa ffffa acccc eaaaaaaaafffaccceaa ffffd dcccc eaaaaaaaefffagceaaa ffffd dcccc eaaaaaaabfffaaaaaaa ffff cccc eaaaaaaafffbaaaaaaa dffff ccccd eaaaaaaafffaaaaaaaa dffff cccca eaaaaaaafffaaaaaaaa affff cccca eaaaaaaefffaaaaaaaa bffff gcccg eaaaaaabfffaaaaaaaa bffffeeeeeeeeeeeeeeeeeegcccg eaaaaaafffbaaaaaaaa ffffbaaaaaaaaaaaaaaaaecccc eaaaaaafffeaaaaaaaa ffffbaaaaaaaaaaaaaaeccccd eaaaaaafffaaaaaaaaa dffffeaaaaaaaaaaaaaccccad ddddddfffddddddddd daffffeaaaaaaaaaaaccccaad afff daaffffaaaaaaaaaaccccaaad bffb daaaffffaaaaaaaacccceaaad fffa daaaeffffaaaaaacccceaaaad fff daaaaeffffaaaaccccgaaaaad fff daaaaabffffaagccccaaaaaad dfff daaaaaabffffgccccaaaaaaad bfff daaaaaaaffffccccaaaaaaaad fffe daaaaaaaaffccccaaaaaaaaad fffd daaaaaaaaaccccbaaaaaaaaad fff daaaaaaaaccccffeaaaaaaaad dfff daaaaaaaccccffffaaaaaaaad afff daaaaaacccceaffffaaaaaaad bffb daaaaaccccgaaaffffaaaaaad fffa daaaagcccgaaaaeffffaaaaad fff daaagccccaaaaaabffffaaaad fff daaeccccaaaaaaaabffffaaad afff daeccccaaaaaaaaaabffffaad bffb deccccaaaaaaaaaaaaffffbad fffa dccccaaaaaaaaaaaaaaffffbd fffd ad cccceaaaaaaaaaaaaaaaffffa fff gcc cccceaaaaaaaaaaaaaaaaaffffd dfff dcccc ccccgeeeeeeeeeeeeeeeeeeeffffd efff acccg gcccg dffff fffe gccca ecccg dffff fffd ccccd acccc affff fff cccc dcccc affff dfff dcccc dcccc bffff afff acccg cccc bfffb bffb gccca ccccd ffffb fffa ccccd ccccd ffffa fff cccc cccca ffffd fff cccc gccce ffffd afff dcccccccg ffffd bffb ecccccc dffff fffa ccccc dffff fffd ccc affff fff d effff dfff bffffffff bffffffa fffffa ffb ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c3dac1ff b,#9ab550ff c,#4f9c81ff d,#e4eee0ff e,#bacc86ff f,#82a323ff g,#85baa8ff ``` ```image ffffb gccc fffffb gcccc ffffffb accccc fffffffe acccccc ffffffffe dccccccc affffffffa dcccccccc affffffffa dccccccccg effffffffd ccccccccg effffffffd gcccccccg effffffffd gcccccccc bfffffffbd gccccccccd bfffffffb accccccccd dbfffffffb accccccccd dffffffffe acccccccca dffffffffe dcccccccca dffffffffe dccccccccg affffffffa ccccccccg affffffffa gcccccccg effffffffd gcccccccg effffffffd gccccccccd bfffffffbdaccccccccd bfffffffbccccccccd bffffffcccccccca dbffffcccccccca dfffccccccccg dfccccccccg ccccccccce gccccccccffa gccccccccffffd gccccccccffffffd accccccccffffffffd accccccccabfffffffbd dcccccccca bfffffffb dcccccccca dbfffffffb dccccccccg dffffffffe gcccccccg dffffffffe gcccccccg dffffffffe gcccccccc affffffffa gccccccccd affffffffa accccccccd effffffffd accccccccd effffffffd dcccccccca bfffffffbd dcccccccca bfffffffb dccccccccg bfffffffb ccccccccg dbfffffffb gcccccccg dffffffffe gcccccccg dffffffff gccccccccd afffffff ccccccccd affffff cccccccd efffff cccccca effff ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. I'm ready to analyze the next area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#a9cec1ff b,#a7be65ff c,#4f9c80ff d,#deebddff e,#cad8a3ff f,#81a324ff g,#79b39eff ``` ```image d ffbbed dffffffe dgcgd effffffd dcccccd bffffff dccccccg bfffffb dcccccccc ffffffb gccccccccd dffffffe gcccccccccg effffffd gccccccccccc effffff accccccccccccd bffffff accccccccccccca ffffffb accccccccccccccc ffffffe dccccccccaaccccccd dffffffe dcccccccca dcccccca effffffd dcccccccca ccccccg bffffff gcccccccg accccccdbfffffb gcccccccg dccccccaffffffb gcccccccg ccccccgffffffe ccccccccd gccccccffffffd cccccccd accccccffffff ccccccd cccccccffffb cccccd gccccccffffb cccca accccccffffe ccca dcccccccfffd ccg gccccccfff cg accccccfff g dcccccccfb gccccccfe accccccfe dccccccfd ccccccc cccccccd fcccccca dfccccccg efccccccc effcccccca bffccccccg fffccccccc ffffccccccd dffffcccccca effffccccccc bfffffccccccd bfffffcccccca ffffffccccccg dffffffgccccccd effffffacccccca bffffff ccccccg bfffffb gccccccd ffffffb dcccccca dffffffe cccccca effffffd gcgad effffff dd bffffff ffffffb ffffffe dffffffe effffffd bffffff bfffffb ffffffb dffffffe effffffd effffff bfffffb ffffffb dffffffe dffffffd effffff ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a8cec1ff b,#9cb651ff c,#4e9c81ff d,#dfead5ff e,#c1d192ff f,#82a323ff g,#77b29dff ``` ```image bb dfff ffff dfffd ffff fbe fffe gg fffd bfff cccg fff fffb gcccc dfff efff gccccc efff ffff acccccca bffb dfffd dccccaccc fffd ffff dcccc ccc fff fffe cccc cccafff bfff cccc gcccfff fffb ccccd cccffb efff cccca cccffe ffff gcccg gcccf dfffd gcccg dcccf ffff acccc cccf fffe dcccc cccc bfff dcccc fccc fffb cccc fccc efff cccc fcccg ffff ccccd ffccc dfffd cccca effccc ffff cccca bffccca fffb gcccg fffgccc bfffe acccc fff ccc ffffe acccc fff ccca ffffd dcccc dfff ggd ffffd cccc bffb ffff cccc fffe dffff ccccd fffd dffff ccccd fff effff cccca dfff effff gcccg efff bfffb gcccg fffe bfffb acccc fffd ffffe dcccc fff ffffd dcccc fff ffffd cccc efff ffff ccccd bffb ffff ccccd fffe dffff cccca fff dffff gcccg fff effff gcccg dfff bfffbacccc efff bfffcccc fffe ffcccc fffd cccce fff ccccffd dfff ccccffffd efff cccca ffff bffb cccca dffff fffd gcccg dffff fff acccc effff fff acccc effff efff dcccc bfffb bffb cccc bfffb fffe cccc ffffe fff a ccccd ffffd fff gcc ccccd ffffd dfff dcccc cccca ffff efff acccg gcccg ffff fffe gccca gcccg dffff fffd cccc acccc dffff fff cccc dcccc effff fff cccc cccc bfffb efff acccg cccc bfffb bffb gccca ccccd ffffe fffe ccccd ccccd ffffe fff cccc cccca ffffd fff cccc gcccg ffffd dfff dcccccccg ffff bffb gcccccc dffff fffe ccccc dffff fffd ccc effff fff d effff dfff bfffbffff bffffffe fffffd ffb ``` <!-- end of image -->
[ "" ]
This is the image I'm working with. The goal is to count the intersections. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#33f3e0ff b,#cfdb3aff c,#c0dd75ff d,#69f1ddff e,#a0d0a1ff f,#ecf7efff g,#b2d8b1ff ``` ```image dd aaa aaadfffffffffffffffffffffffffffff faaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaadgggggggggggggggggggggggggggef faaagggggggggggggggggggggggggggef aaadggggggggggggggggggggggggggef eaaaggggggggggggggggggggggggggef feaaadgggggggggggggggggggggggggef cbbgaaagggggggggggggggggggggggggef bbbcaaadggggggggggggggggggggggggef fbbbgaaaggggggggggggggggggggggggef d bbbbaaadgggggggggggggggggggggggef aaaf bbbcaaagggggggggggggggggggggggef faaa cbbbaaadggggggggggggggggggggggef aaad ebbbbaaaggggggggggggggggggggggef faaa egbbbcaadgggggggggggggggggggggef aaad egcbbbaaagggggggggggggggggggggef daaa eggbbbbaaaggggggggggggggggggggef aaaf egggbbbcaaggggggggggggggggggggef aaaa egggcbbbaaagggggggggggggggggggef faaa eggggbbbbaagggggggggggggggggggef aaad egggggbbbcaaggggggggggggggggggef faaa egggggcbbbaaggggggggggggggggggef fffffffffffffffffaaadfff eggggggbbbbaagggggggggggggggggef feeeeeeeeeeeeeeeedaaaeeee egggggggbbbcagggggggggggggggggef fegggggggggggggggaaaeggge egggggggcbbbaaggggggggggggggggef feggggggggggggggaaaagggge eggggggggbbbbaggggggggggggggggef feggggggggggggggaaaggggge egggggggggbbbcagggggggggggggggef fegggggggggggggaaaaggggge egggggggggcbbbagggggggggggggggef feggggggggggggeaaaggggggecc eggggggggggbbbbaggggggggggggggef feggggggggggggaaadggggcbbbb egggggggggggbbbcggggggggggggggef fegggggggggggdaaagggcbbbbbbf egggggggggggcbbbagggggggggggggef fegggggggggggaaaegbbbbbbbbf eggggggggggggbbbbgggggggggggggef feggggggggggaaaebbbbbbbce egggggggggggggbbbcggggggggggggef feggggggggggabbbbbbbbggge egggggggggggggcbbbggggggggggggef feggggggggcbbbbbbbcggggge eggggggggggggggbbbbgggggggggggef feggggggbbbbbbbbgggggggge egggggggggggggggbbbcggggggggggef fegggcbbbbbbbcgggggggggge egggggggggggggggebbbggggggggggef fegbbbbbbbbdaggggggggggge eggggggggggggggggbbbbgggggggggef gbbbbbbbcaaadggggggggggge eggggggggggggggggabbbcggggggggef cbbbbbbbcgdaaagggggggggggge egggggggggggggggggdbbbggggggggef fbbbbbbbcggggaaaggggggggggggge egggggggggggggggggabbbbgggggggef cbbbbbbbcgggggaaaaggggggggggggge eggggggggggggggggggabbbcggggggef cbbbbbbc fegggggaaagggggggggggggge eggggggggggggggggggadbbbggggggef bbbbbbg feggggaaadgggggggggggggge egggggggggggggggggggabbbbgggggef fbbbbbf fegggdaaaggggggggggggggge egggggggggggggggggggaabbbcggggef cbbbbc fegggaaadggggggggggggggge eggggggggggggggggggggaebbbggggef fbbbbb feggdaaagggggggggggggggge eggggggggggggggggggggaabbbbgggef cbbbbc feeeaaaeeeeeeeeeeeeeeeeee egggggggggggggggggggggaabbbcggef bbbbbf ffaaaaffffffffffffffffff egggggggggggggggggggggaaebbbggef fbbbbb faaa eggggggggggggggggggggggaabbbbgef bbbbbg aaad eggggggggggggggggggggggaaabbbcefbbbbb faaa egggggggggggggggggggggggaaebbbcbbbbc aaad egggggggggggggggggggggggdaabbbbbbbf daaa eggggggggggggggggggggggggaaabbbbb aaaf eggggggggggggggggggggggggdaaebbg aaaa egggggggggggggggggggggggggaaagef faaa egggggggggggggggggggggggggdaaaef aaad eggggggggggggggggggggggggggaaaef faaa eggggggggggggggggggggggggggdaaaf aaad egggggggggggggggggggggggggggaaaf daaa egggggggggggggggggggggggggggdaaa aaaf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaf aaaa fffffffffffffffffffffffffffffdaaa faaa aaaf aaad daaa faaa aaaf aaad daaa daaa aaaf faaaf daaa aaad aaaf daaa daaa faaaf aaaf aaad daaa daaa aaaf faaaf daaa aaad aaaaaaa daaaaaf aaaad daaa aaf ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#31f3e0ff b,#cfdb3aff c,#e5ec9dff d,#66f6e7ff e,#a2e374ff f,#c2fbf5ff g,#6aeaa5ff ``` ```image aaad aaaaf aaaad aaaaa aaaaa aaaaad daaaaaf aaaaad daaaaaf aaaaad daaaaaf b aaaaad bc daaaaaf bbc aaaaad bbb daaaaaf bbbbcaaaaaaf bbbbbaaaaaad bbbbbdaaaaaaf bbbbbcaaaaaad bbbbbbdaaaaaaf cbbbbbcaaaaaad bbbbbbeaaaaaa cbbbbbbaaaaaa cbbbbbeaaaaaf bbbbbbgaaaad cbbbbbeaaaad bbbbbbgaaaaf bbbbbbbaaaad cbbbbbbeaaaaf bbbbbbbgaaad cbbbbbbbaaaaf cbbbbbbaaaad bbbbbbgaaaaf cbbbbbbaaaad cbbbbbeaaaaf bbbbbbgaaad cbbbbbeaaad bbbbbbgaaaf cbbbbbbaaad cbbbbbeaaa bbbbbbgaa bbbbbbbaaf cbbbbbbead bbbbbbbgaf cbbbbbbbad cbbbbbbaaf cbbbbbbaaf cbbbbbead bbbbbbgaf cbbbbbbad cbbbbbeaf bbbbbbgd cbbbbbbaf cbbbbbed bbbbbbgf bbbbbbbd bbbbbbbg cbbbbbbbf cbbbbbbe bbbbbbb cbbbbbb ebbbbbe bbbbbbc cbbbbbb ebbbbbc fbbbbbbc febbbbbc dbbbbbbc fgbbbbbb dbbbbbbc fbbbbbbbc gbbbbbbb aebbbbbbc dabbbbbbb fagbbbbbb daebbbbbc dagbbbbbb faaebbbbbc daabbbbbbc faagbbbbbb daaebbbbbc faaabbbbbb daagbbbbbb faaabbbbbbc daabbbbbbb faagbbbbbbb daaebbbbbbc daagbbbbbb faaaebbbbbc aaaabbbbbb aaaagbbbbbb daaaaebbbbbc faaaaabbbbbb daaaagbbbbbbc faaaaaebbbbbb daaaaabbbbbb faaaaagbbbbb faaaaabbbbb daaaagbbbb faaaaaebbc daaaaa faaaaad daaaaa faaaaad daaaaa faaaaad daaaaa aaaaa aaaaa daaaa faaaa daaa ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Let's shift our focus to the next area. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#33f3e0ff b,#cfdb3aff c,#dae46fff d,#75f7eaff e,#8de891ff f,#bffbf5ff g,#edf1b5ff ``` ```image aaaaaaa daaaaaaf faaaaaaa daaaaaaf faaaaaad daaaaaaf faaaaaad aaaaaaa daaaaaaf aaaaaaa daaaaaaf faaaaaad daaaaaaf faaaaaad gcb aaaaaaa gcbbb daaaaaaf gcbbbbbb aaaaaaa gcbbbbbbbb daaaaaaf gcbbbbbbbbbbb faaaaaadgcbbbbbbbbbbbbb daaaaaebbbbbbbbbbbbbbbg faaaecbbbbbbbbbbbbbbcg aaebbbbbbbbbbbbbbbg eebbbbbbbbbbbbbbcg gbbbbbbbbbbbbbbbg gcbbbbbbbbbbbbbbcg gbbbbbbbbbbbbbbbc gcbbbbbbbbbbbbbbcg gcbbbbbbbbbbbbbbeg gcbbbbbbbbbbbbbbbea gcbbbbbbbbbbbbbbeaaad gcbbbbbbbbbbbbbbbeaaaaa cbbbbbbbbbbbbbbceaaaaaaf bbbbbbbbbbbbbg faaaaaad bbbbbbbbbbcg daaaaaaf bbbbbbbbg faaaaaad bbbbbcg aaaaaaa bbbg faaaaaad cg aaaaaaa daaaaaaf faaaaaad daaaaaaf faaaaaad aaaaaaa faaaaaad aaaaaaa daaaaaaf aaaaaaa daaaaaaf faaaaaad ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#32f3e0ff b,#d0db3aff c,#e0e781ff d,#6af6e8ff e,#87e689ff f,#d5fcf8ff g,#f0f3c3ff ``` ```image dd aaa aaad faaa aaad faaa aaad faaa g aaad bbbfaaa bbbcaaad gbbbfaaa d bbbbaaad aaaf bbbcaaa faaa gbbbaaad aaad bbbbaaa faaa bbbeaad aaad gbbbaaa daaa bbbbaad aaaf bbbeaa aaaa gbbbaad aaa bbbbaa aaad bbbead faaa gbbbaa aaad bbbbad daaa bbbea aaaf gbbbad daaa bbbba aaa bbbed aaad gbbba faaa cc bbbbd aaad gbbbb bbbe daaa cbbbbbbg gbbbd aaafgbbbbbbbb bbbb daaebbbbbbbc bbbe abbbbbbbb gbbb cbbbbbbbc bbbb bbbbbbbbg bbbc gbbbbbbbe ebbb bbbbbbbbaa bbbb gbbbbbbbcaaaf dbbbc cbbbbbbbg daaa ebbb gbbbbbbbc aaaf dbbbb cbbbbbbbg aaaa abbbc cbbbbbbc faaa debbb bbbbbbg aaad abbbb gbbbbb faaa dabbbc bbbbbc aaaf aebbb bbbbb daaa dabbbb cbbbbc aaaf aabbbc bbbbbg aaaa daebbb gbbbbb faaa aabbbb bbbbbg aaad daabbbc bbbbb faaa aaebbbcbbbbc aaad daabbbbbbbg daaa aaabbbbb aaaf daaebbg aaaa aaa faaa daaa aaad aaa faaa daaa aaad aaaf daaa daaa aaaf aaaf aaaa daaa aaa aaaf aaad daaa faaa aaaf aaad daaa daaa aaaf faaaf daaa aaad aaaf daaa daaa faaaf aaaf aaad daaa daaa aaaf faaaf daaa aaad aaaaaaa daaaaaf aaaad daaa aaf ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#0f7cd5ff b,#388f8bff c,#4d9eceff d,#acd1f0ff e,#73b3aaff f,#b1d7b2ff g,#95c999ff ``` ```image ca aa aaad caaac aadaa aac aa caa aa aa aa aac aa daa aad aa cad aac dac daa aa aad aa aac aa daa aa aad aa aaa cad daa dac aad aa caa aa aa aa aad aa ggggggggggggggggggggcaagggggggggggggggaaggggggggggggggggggggggggggggggggggggggggggggggg ffffffffffffffffffffaaffffffffffffffffcaeffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffaacffffffffffffffffcacffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffcaafffffffffffffffffeaaffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffaafffffffffffffffffffaaffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffaacfffffffffffffffffffaaffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffcaaffffffffffffffffffffaaffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffaafffffffffffffffffffffaaffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffaacfffffffffffffffffffffaaefffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffeaaffffffffffffffffffffffcacfffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffaagffffffffffffffffffffffeaafffffffeeffffffffffffffffffffffffffffffffffff fffffffffffffaaaffffffffffffffffffffffffaaffgbbbbbbbfffffffffffffffffffffffffffffffffff ffffffffffffeaaffffffffffffffffffffffffgbbbbbbbbbbbbbffffffffffffffffffffffffffffffffff ffffffffffffaaefffffffffffffffffffgebbbbbbbbbefffffbbbffffffffffffffffffffffffffffbgfff fffffffffffaaafffffffffffffffgebbbbbbbbbaaffffffffffbbbffffffffffffffffffffffffffebbfff ffffffffffeaaffffffffffffebbbbbbbbbegfffaagffffffffffbbbfffffffffffffffffffffffffbbgfff ffffffffffaaefffffffebbbbbbbbbegffffffffcacfffffffffffbbbffffffffffffffffffffffffbbffff fffffffffaaafffebbbbbbbbbegfffffffffffffeacffffffffffffbbbffffffffffffffffffffffebbffff ffffffffgaabbbbbbbbbbgfffffffffffffffffffaafffffffffffffbbbfffffffffffffffffffffbbgffff fffffgebbbbbbbbbeffffffffffffffffffffffffaaffffffffffffffbbbffffffffffffffffffffbbfffff ffebbbbbbbbefffffffffffffffffffffffffffffaafffffffffffffffbbbffffffffffffffffffgbbfffff fffbbbeaaffffffffffffffffffffffffffffffffaaffffffffffffffffbbefffffffffffffffffbbgfffff ffffffaacffffffffffffffffffffffffffffffffaaffffffffffffffffgbbeffffffffffffffffbbffffff fffffcaafffffffffffffffffffffffffffffffffcaaffffffffffffffffgbbeffffffffffffffgbbffffff fffffaafffffffffffffffffffffffffffffffffffaaaffffffffffffffffgbbefffffffffffffbbeffffff ffffaacffffffffffffffffffffffffffffffffffffaacffffffffffffffffgbbeffffffffffffbbfffffff fffcaaffffffffffffffffffffffffffffffffffffffaaeffffffffffffffffebbgffffffffffgbbfffffff fffaafffffffffffffffffffffffffffffffffffffffeaafffffffffffffffffebbgfffffffffbbefffffff ffeacffffffffffffffffffffffffffffffffffffffffcaafffffffffffffffffebbgffffffffbbffffffff ffffffffffffffffffffffffffffffffffffffffffffffaaafffffffffffffffffebbfffffffgbbffffffff fffffffffffffffffffffffffffffffffffffffffffffffaaafffffffffffffffffbbbffffffbbefffcffff ffffffffffffffffffffffffffffffffffffffffffffffffaacfffffffffffffffffbbbfffffbbfffcaafff fffffffffffffffffffffffffffffffffffffffffffffffffaaefffffffffffffffffbbbffffbbfffaaffff fffffffffffffffffffffffffffffffffffffffffffffffffeaagfffffffffffffffffbbbffbbeffcaaffff ffffffffffffffffffffffffffffffffffffffffffffffffffcaaffffffffffffffffffbbbfbbfffaafffff fffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffffffffffffbbbbbffcaafffff ffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffffffffffffbbbeffaaffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffaacffffffffffffffffffbbffcaaffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffaacfffffffffffffffffffffaafffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffgaagfffffffffffffffffffeaafffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffcaafffffffffffffffffffaaffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffcaafffffffffffffffffeaaffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffffffffffaafffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffffffffeaafffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaacfffffffffffffaagfffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffgaaefffffffffffeaaffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeaafffffffffffaagffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcaafffffffffeaafffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffffaagfffffffffff fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaffffffeaaffffffffffff ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaacgggggaaegggggggggggg aad daa daa aad caa daa aaaaad aaaa aad d ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e7bd5ff b,#378f8bff c,#6fb0e5ff d,#d9eaf0ff e,#72b0adff f,#a9cfdfff g,#3791dbff ``` ```image aaa aaa faac aaa caaa caa aaac caa caaf daa aag aad caaf gaf gaad cac daag fag gaad daa daag aaf faaf aac aaa aac faac aaa debbbbe aaa gaafbbbbbbbbbbbf faac gbbbbbbbbbbbebbb caad febbbbbbbbbbed fbbbf ef aaa febbbbbbbbbbed fbbb dbbd caaf febbbbbbbbbbefd aa fbbb ebb aaa debbbbbbbbbbefd aaf fbbbd bbb caaf debbbbbbbbbbefd aac ebbb bbe gaad debbbbbbbbbbbfd aag ebbb fbb daabbbbbbbbbbbbff aaa ebbbd bbd dbbbbbbbbbbbbed aaa ebbe fbb fbbbbbbbbbbbed caa ebbe bbb dbbbbbbbc faa bbbe bbe bbbeaaa faa dbbbe bbf faac aad bbbe ebb aaa caaf bbbf bbb faac daaa dbbbf bbe caaf faag bbbf dbb aaa gaac bbbf bbf caaf gaaf fbbbf dbbd aaa aaad bbbd bbb fag aaa bbbb bbe gd gaac ebbbd bbf daaa bbbd fbb faag ebbe bbb daad aaa bbb bbb caad gaaf bbb dbbd aaa aaad dbbbe ebe caad faag dbbb bbd aac caac dbbbebb aaa daaa dbbbbb aac aaad dbbbe caad aaa fbb aaa caac bb aac daaa aac faag aaa aaa aaa gaac faad aaad aaa faag aac caac gac daaa gaa aaad aaa aaa faad gaac aaa daaa aac faaa gac caag gaa ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0e7bd5ff b,#368f8bff c,#77b4e7ff d,#d2e6f1ff e,#71afacff f,#a6cddfff g,#3f96deff ``` ```image ca daa aaaf gaaac aafag aac aa caa aa aa aa aag aa caa gad aad cac aag fag faa aa aad aa aag aa faa aa aad aad gaa gaf daa fag aaf daa gaa aa daa aa aac aa gaa aa aa gaf aac cac caa daa aa aa aac aa caa aa aad aa aag gad faa cac aad fag fe aag aa febbbbbb faa dbbbbbbbbbebbb aad debbbbbbbbbf bbb ed gaa debbbbbbbbbba bbb fbe daa fbbbbbbbbbed aad bbb bbd aaf fbbbbbbbbbed cac bbb bb gaa febbbbbbbbed fag bbb fbb daaebbbbbbbbef daa bbb bbd debbbbbbbbef aa bbe bb fbbbbbbbbf aa bbe fbb bbbeaa aa dbbe bbf aac aad dbbe bb caa caa dbbf dbb aa aaa dbbf bbf aac aag fbbf bb caa aaf fbbd dbb aad daad fbbd bbf fag caa ebbd bb gaa ebbd dbb aaa ebb ebf g aag ebb bb caa aaf ebb bb aa daad bbb ebe caa caa bbb bb aad gaa bbbbb caa aaa bbbe aad aag bb caa aac aad daad caa caa aad gaa faa aaa aad aag faa aac aad daad faa caa aad gaa faa aaa aad aag faa aac aad daad faa faa aad gaa faa aaaaad aaaa aad f ``` <!-- end of image -->
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Let's examine this image for potential line intersections. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#30431cff b,#a4dbf9ff c,#809376ff d,#172900ff e,#b1d7b2ff f,#536847ff g,#96c796ff ``` ```image e ddd ddd ddd ddd dda ddf ddc edde cdd fdd add ddd ddd ddd dda ddf ddc edde cdd fdd add ddd ddd ddd dda ddf f ddc cdd edde ddddf cdd adddd fdd eddddf add adddd ddd eddddf ddd adddd ddd eddddf ddd adddd ddf eddddf ddc adddd eddg gddddc gdde ddddd cdd gddddc fdd ddddd eggggggggggggggggggggggggggggggggggggggggdddggggggg gddddc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddeeeeeee ddddd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddeeeeeee cddddc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddeeeeeee ddddd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddaeeeeeee cddddc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddfeeeeeee ddddd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegddceeeeeee cddddfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecddgeeeeeee dddddeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeefddeeeeeeee cddddceeeeeeeeeeeeeeeeeeeebbbbbbeeeeeeeeeeaddeeeeeeee dddddeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeedddeeeeeeee gfddddceeeeeeeeeeeeebbbbbbeebbbbbeeeeeeedddeeeeeeee geedddddeeeeeeeeeebbbbbbeeeeeebbbbeeeeeedddeeeeeeee geeefddddceeeeeebbbbbbeeeeeeeeebbbbeeeeedddeeeeeeee geeeeedddddeeebbbbbbeeeeeeeeeeeebbbbbeeeddaeeeeeeee geeeeeefdddfbbbbbbeeeeeeeeeeeeeeebbbbbeeddfeeeeeeee geeeeeeeefbbbbbbeeeeeeeeeeeeeeeeeeebbbbgddceeeeeeee geeeeeeebbbbbbdceeeeeeeeeeeeeeeeeeeebbbbfdceeeeeeee geeeeebbbbbbddddaeeeeeeeeeeeeeeeeeeeebbbbgeeeeeeeee geebbbbbbbeeefddddceeeeeeeeeeeeeeeeeeebbbbbeeeeeeee gbbbbbbbeeeeeegddddaeeeeeeeeeeeeeeeeeeefbbbbeeeeeee bbbbbbbeeeeeeeeeefddddceeeeeeeeeeeeeeeeeddbbbbeeeeee bbbbbbbeeeeeeeeeeeeegddddaeeeeeeeeeeeeeeeedddbbbbbeeee bbbbbbbeeeeeeeeeeeeeeeeefddddceeeeeeeeeeeeeedddeebbbbeee bbbbbbbgeeeeeeeeeeeeeeeeeeegddddaeeeeeeeeeeeeeddaeeebbbeee bbbbbbb geeeeeeeeeeeeeeeeeeeeeaddddgeeeeeeeeeeeddfeeeebeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeegddddaeeeeeeeeegddfeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeaddddgeeeeeeecddceeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeegddddaeeeeeecddgeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeaddddgeeeefddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeegddddaeeeaddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaddddgedddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegddddadddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaddddddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdddddeeeeeeeeee bbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaddfeeeeeeeeee bbbbbb egggggggggggggggggggggggggggggggggggggcfggggggggggg bbbbbb bbbbb bb ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#435232ff b,#a3dbfaff c,#99a393ff d,#172900ff e,#c7ccc2ff f,#6f7d66ff g,#d6ebf5ff ``` ```image dddddf gdddddc edddddc eddddde cddddde cdddddg fddddd fddddd adddda adddda dddddf gdddddf edddddc eddddde c cddddde dae ggg cdddddg dddc gbbbbbg fddddd ddddae gbbbbbbbbg fddddd ddddddc gbbbbbbbbbbbb adddda dddddddag gbbbbbbbbbbbbbbbg adddda dddddddddc gbbbbbbbbbbbbbbbbbbg dddddf eaddddddddag gbbbbbbbbbbbbgbbbbbbbbg dddddf fdddddddddc gbbbbbbbbbbbg bbbbbbbbb gdddddc eaddddddddag gbbbbbbbbbbbg gbbbbbbbbg edddddc fdddddddddc gbbbbbbbbbbbg gbbbbbbbbg cddddde eaddddddddag gbbbbbbbbbbbg gbbbbbbbbb cdddddg fdddddddddc gbbbbbbbbbbbbg bbbbbbbbb fddddd eaddddddddag gbbbbbbbbbbbbg gbbbbbbbbg fddddd fdddddddddc gbbbbbbbbbbbbg gbbbbbbbbg adddda eaddddddddaggbbbbbbbbbbbbg bbbbbbbbb adddda fdddddddabbbbbbbbbbbbg bbbbbbbbbg dddddf eadddabbbbbbbbbbbbg gbbbbbbbbg dddddf ffbbbbbbbbbbbbg gbbbbbbbbggdddddc gbbbbbbbbbbbbg bbbbbbbbbaddddc gbbbbbbbbbbbbfddc gbbbbbbbbaddde gbbbbbbbbbbbbfdddddfg gbbbbbbbbfdde gbbbbbbbbbbbbcddddddddde gbbbbbbbbcdg gbbbbbbbbbbbbg edddddddddfg bbbbbbbbb gbbbbbbbbbbbbg gfddddddddde gbbbbbbbbg gbbbbbbbbbbbbg cdddddddddfg gbbbbbbbbg gbbbbbbbbbbbbg gfddddddddde abbbbbbbbb gbbbbbbbbbbbbg cdddddddddf ddcbbbbbbbbg bbbbbbbbbbg gfddddddddae gdddfbbbbbbbbg bbbbbbbbg cdddddddddf eddddabbbbbbbbg bbbbbbg gaddddddddae edddddebbbbbbbbb bbbbg cdddddddddf cddddde gbbbbbbbbg bbg gaddddddddae cdddddg gbbbbbbbbg g cdddddddddf fddddd gbbbbbbbbg gaddddddddae fdddda bbbbbbg cdddddddddf adddda gbbbb gaddddddddae addddf gbb cdddddddddf dddddf g gaddddddddae gdddddc cdddddddddf edddddc gaddddddddae eddddde cdddddddddf cddddde gaddddddddae cdddddg cdddddddddf fddddd eaddddddddae fddddd cdddddddddc adddda eaddddddddae adddda cdddddddddc dddddf eaddddddddae dddddf cdddddddddc edddddc eaddddddddacddddde cdddddddddddddde eaddddddddddddg fddddddddddd eaddddddddd fddddddda eadddddf ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#374623ff b,#a4dbfaff c,#8c9683ff d,#172900ff e,#bfc4b9ff f,#5c6a4fff g,#dceaf1ff ``` ```image eg ddd ddd ddd ddd dda ddf gddc edde cdd fdd add ddd ddd ddd dda ddf gddc edde cddg fdd add ddd ddd ddd dda ddf f ddc cddg edde ddddf cddg addddg fdd eddddf add addddg ddd eddddf ddd addddg ddd eddddf ddd addddg ddf eddddf ddc dddddg edde eddddf cdde ddddd fdd cddddc add ddddd ddd cddddc ddd ddddd ddd cddddc ddd ddddd dda cddddc ddf ddddd gddc cddddc edde ddddd bbb cdd cddddc bbbbbb fdd ddddd bbbbbbbbbg ddd cddddc bbbbbb bbbbb ddd ddddd bbbbbb gbbbb ddd cddddc gbbbbbb bbbb ddd ddddd gbbbbbb bbbbg dda fdddfbbbbbb bbbbb ddf gfbbbbbb gbbbbgddc gbbbbbbde bbbbfde gbbbbbbdddda bbbbcg gbbbbbb fdddde gbbbb gbbbbbb gdddda fbbbb gbbbbbb fdddde ddbbbbg gbbbbbg gdddda dddbbbbb bbbbbbg fdddde ddd gbbbb bbbbbbg gdddda dda bbb bbbbbbg fdddde ddf b bbbbbbg gdddda gddc bbbbbbg fdddde edde bbbbbbg gdddda cddg bbbbbbg adddde fdd bbbbbbg gdddda add bbbbbbg addddg ddd bbbbbb eddddaddd bbbbbb adddddd gbbbbbb eddddd gbbbbbb addf gbbbbbb ec gbbbbbb bbbbb gbb ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a7b45ff b,#d3379cff c,#b1d6b0ff d,#ecaed6ff e,#d273adff f,#eff2edff g,#859a75ff ``` ```image b bbbf dbbb bbbd bbbe ebbb dbbb bbb bbbd bbb bbbb ebb ebbb dbbd fbbbf fbbe bbbd bbb bbbb bbb dbbb bbb fbbbf bbb bbbe bbb bbbb ebbf dbbb dbbd bbbd fbbe bbbe bbb ebbb ffffbbbffffffffffffffffffffffffffffffffffffffff fbbb ccccbbbccccccccccccccccccccccccccccccccccccccccf bbbd ccccbbbccccccccccccccccccccccccccccccccccccccccf bbbb ccccebbccccccccccccccccccccccccccccccccccccccccf ebbb ccccebbccccccccccccccccccccccccccccccccccccccccf fbbbf cccccbbecccccccccccccccccccccccccccccccccccccccf bbbe cccccbbbcccccccccccccccccccccccccccccccccccccccf bbbb cccccbbbcccccccccccccccccccccccccccccccccccccccf dbbb cccccbbbcccccccccccccccccccccccccccccccccccccccf bbbd f cccccbbbcccccccccccccccccccccccccccccccccccccccf bbbe aaa cccacbbbcccccccccccccccccccccccccccccccccccccccf ebbb aaa ccgaagbbcccccccccccccccccccccccccccccccccccccccf dbbb aaa ccaaaaabeccccccccccccccccccccccccccccccccccccccf bbbd aaa cccaaaaagccccccccccccccccccccccccccccccccccccccf bbbb aag cccccaaaaacccccccccccccccccccccccccccccccccccccf ebbb faag ccccccaaaaagcccccccccccccccccccccccccccccccccccf fbbbf caac ccccccbbaaaaaccccccccccccccccccccccccccccccccccf bbbd gaaf ccccccebbaaaaagccccccccccccccccccccccccccccccccf bbbb aaa ccccccccebbaaaaabccccccccccccccccccccccccccccccf dbbb aaa cccccccccccegaaaaabbcccccccccccccccccccccccccccf fbbbf aaa ccccccccccccccaaaaabbbeccccccccccccccccccccccccf bbbe aaa cccccccccccccccgaaaaabbbbecccccccccccccccccccccf ebbb aaa cccccccccccccccccaaaaabbbbbbeccccccccccccccccccf dbbb faag ccccccccccccccccccgaaaaabbbbbbbecccccccccccccccf bbbd caac ccccccccccccccccccccaaaaagbbbbbbbbeccccccccccccf bbbe caac ccccccccccccccccccccccaaaaacebbbbbbbbccccccccccfebbb gaa cccccccccccccccccccccccaaaaagccebbbbbbbbcccccccdbbb aaa cccccccccccccccccccccccccaaaaaccccebbbbbbbeccccbbbd aaa ccccccccccccccccccccccccccgaaaagcccccbbbbbbbbebbbb aaa ccccccccccccccccccccccccccccaaaaacccccccbbbbbbbbb aaa cccccccccccccccccccccccccccccgaaaagcccccccebbbbbf aag cccccccccccccccccccccccccccccccaaaaacccccccccebd faag ccccccccccccccccccccccccccccccccgaaaaacccccccccf caac ffffffffffffffffffffffffffffffffffaaaaacfffffff gaaf caaaaa aaa aaaaac aaa caaaaa aaa gaaaac aaa faaaaaf aaa gaaaag faag faaaaaf caac gaaaag caaf faaaaaf gaa caaaag aaa aaaaaf aaa caaaaa aaa aaaaac aaa caaaaa aag aaaaac faag faaaaa caac gaaaag gaaf faaaaaf aaa gaaaag aaa faaaaaf aaa gaaaag aaa aaaaaf aaa caaaaafaag aaaaaaac caaaaaf aaaa caa ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#597b44ff b,#d3379bff c,#a8b79cff d,#ea9ecfff e,#de6cb5ff f,#ead5e0ff g,#837c69ff ``` ```image dbbbbbf dbbbbbd fbbbbbd fbbbbbe bbbbbe bbbbbb ebbbbb ebbbbbf dbbbbbf dbbbbbd fbbbbbd bbbbbe bbbbbe ebbbbb ebbbbb dbbbbbf dbbbbbd fbbbbbd fbbbbbe bbbbbe caf bbbbbb faaac ebbbbb gaaaaagbbbbbf caaaaaaagbbbbf gaaaaaaaaagbbd caaaaaaaaagbd fgaaaaaaaaag caaaaaaaaagf fgaaaaaaaaac caaaaaaaaagf egaaaaaaaaac dbgaaaaaaaaaaf fbbbgaaaaaaaaac bbbbgaaaaaaaaaac ebbbbbgaaaaaaaaagf debbbbbaaaaaaaaaagf fdbbbbgaaaaaaaaagbef fdbbbaaaaaaaaaagbbdf febgaaaaaaaaaabbbbdf feaaaaaaaaaagbbbbedf caaaaaaaaaabbbbbbed fgaaaaaaaaagbbbbbbbed caaaaaaaaaabbbbbbbbbef fgaaaaaaaaagbbbbbbbbbbef caaaaaaaaaabbbbbbbbbbbbdf fgaaaaaaaaagbbbbbbbbbbbbbdf caaaaaaaaaagbbbbbbbbbbbbbedf caaaaaaaaagbbbbbbbbbbbbbbbed faaaaaaaaaacebbbbbbbbbbbbbbbed caaaaaaaaagfdebbbbbbbbbbbbbbbef fgaaaaaaaaac fdbbbbbbbbbbbbbbbbef caaaaaaaaagf fdbbbbbbbbbbbbbbbbdf fgaaaaaaaaac febbbbbbbbbbbbbbbbdf caaaaaaaaagf febbbbbbbbbbbbbbbedf fgaaaaaaaaac debbbbbbbbbbbbbbbed caaaaaaaaaaf debbbbbbbbbbbbbbbed d fgaaaaaaaaac fdebbbbbbbbbbbbbbbedb caaaaaaaaaac fdbbbbbbbbbbbbbbbb caaaaaaaaagf fdbbbbbbbbbbbbb faaaaaaaaaac febbbbbbbbbb caaaaaaaaagf febbbbbbb fgaaaaaaaaac debbbb caaaaaaaaagf deb fgaaaaaaaaac ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5a7b45ff b,#d3379cff c,#b5c4acff d,#eba4d1ff e,#de6ab5ff f,#eadee2ff g,#889a77ff ``` ```image b bbbf dbbb bbbf bbbe ebbb fbbb bbb bbbd bbb bbbb ebb ebbb dbbd fbbb fbbe bbbd bbe bbbb bbb dbbb bbb bbbf bbb bbbe bbb ebbb ebbf dbbb dbbd bbbd bbe bbbe bbb ebbb bbb fbbb bbb bbbd bbb bbbb ebb dbbb dbbf fbbbf fbbd bbbe bbe bbbb bbb dbbb bbb bbbf bbb bbbe aaa a bbb ebbb aaa gaagbbf fbbb aaa aaaaabd bbbd aaa gaaaag bbbb aag faaaaa ebbb faag aaaaag fbbb caac bbaaaaaf bbbd gaaf ebbaaaaag bbbb aaa dbbaaaaabf dbbb aaa egaaaaabbf bbbf aaa aaaaabbbe bbbe aaa caaaaabbbbe ebbb aaa aaaaabbbbbbd dbbb aag caaaaabbbbbbbd bbbd caac aaaaagbbbbbbbbd bbbe caaf faaaaa dbbbbbbbbf ebbb gaa gaaaac ebbbbbbbbf fbbb aaa faaaaa ebbbbbbbe bbbd aaa gaaaag febbbbbbbebbbb aaa faaaaaf fbbbbbbbbb aaa gaaaag dbbbbbf aag aaaaaf dbd faag caaaag caac aaaaaf gaaf caaaaa aaa aaaaac aaa faaaaa aaa gaaaac aaa faaaaa aaa gaaaag aag faaaaaf caac gaaaag caaf aaaaaf gaa caaaag aaa aaaaaf aaa caaaaa aaa aaaaac aaa caaaaa aag aaaaac faag faaaaa caac gaaaac gaaf faaaaa aaa gaaaag aaa aaaaaf aaa gaaaag aaa aaaaaf aaa caaaaafaag aaaaaaac caaaaaf aaaa faa ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#dfb4c1ff b,#8b5282ff c,#a1cda0ff d,#b2d7b1ff e,#dc6674ff f,#b28fa0ff g,#f1f0edff ``` ```image ba gba bff gbaf bgaf gb gf b bg gb ab gb b b bg b af b b b bg b ff b b b ba b ff b b b ba b fa b b b ba b fa b b gccccccccccccccccccccccccccccccccg b fa b gcddddddddddddddddddddddddddddddcg ba b b gcddddddddddddddddddddddddddddddcg b fa b gcdddddddddddddeddddddddddddddddcg f ba b bg gcddddddddddddfeedddddddddddddddcgfba b fa fg gcddddddddddddedefddddddddddddddbba bg b fa gcddddddddddddeddeddddddddddddbbfg gb fa fa gcddddddddddddeddcedddddddddbbfdcg bg b fa gcdddddddddddfedddefddddddbbfdddcg gb ff aa gcdddddddddddecddddeddddbbfdddddcg bg b af gcdddddddddddedddddfedbbfdddddddcg gb ff af gcdddddddddddeddddddebfdddddddddcg b b gf gcddddddddddceddddbbfeddddddddddcg abff gb gcddddddddddefddbbfddfedddddddddcg bb b gcddddddddddedbbfdddddecddddddddcg af b gcddddddddddebfddddddddeddddddddcg b gcddddddddbbeddddddddddfedddddddcg b gcddddddbbfffdddddddddddedddddddcg b gcddddbbfddedddddddddddddeddddddcg b gcddbbfddddedddddddddddddfedddddcg b gcbbfddddddeddddddddddddddedddddcg b fbfdddddddffdddddddddddddddeddddcg b fbfcddddddddeddddddddddddddddefdddcg f b fba gcddddddddedddddddddddddddddedddcg aeg b fba gcddddddddeddddddddddddddddddeddcg ege b fba gcdddddddceddddddddddddddddddefdcg aa e b fba gcdddddddefdddddddddddddddddddedcg e ae b bf gccccccccecccccccccccccccccccccecg ea e bgb ggggggggegggggggggggggggggggggea e ae bgb ge e eg e fgb aa ae ge aa fab e ea e e fab e e ae ea aab e ae e e afb aa eg aa eg afb eg e e e gfb e g ea eg gfb e e ge gbb ge eg e gcccccccbbccccccc ea ge ae gcddddddbbddddddc e eg e gcddddddbfddddddc e ae afgcddddddbfddddddc ge e egcddddddbfddddddc aa aa aacddddddbcddddddc e e ecddddddbcddddddc e ea efddddddbdddddddc e g geddddddbdddddddc aa gecdddddbdddddddc eg gcedddddbdddddddc e gcedddddddddddddc e gcdecdddddddddddc ae gcddeeddddddddddc eg gcddddeeddddddddc e gccccccceeccccccc e ggggggggaefggggg ge aea aa fea e eeg e eeg e geeaa geg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e897a2ff b,#884c7fff c,#c0a0bbff d,#e5c0cbff e,#dd6272ff f,#a2729aff g,#f4e3e7ff ``` ```image bbbf bbbf bbbf bbbf fbbc fbbc fbbc fbbc fbbc fbbd cbbd cbbd cbbg d cbbg e cbbg ed cbb ee dbb eed dbb dea dbb eeg dbf dea gbf eeg fc aea geeg aea geeag deeeag deeeag aeeea gaeeed gaeeed ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Next up, a closer look at another region. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#e38491ff b,#8c4f81ff c,#c7abc3ff d,#eed5dcff e,#dd6070ff f,#a77aa0ff g,#edadb5ff ``` ```image d aed eea deeeg geaeed aedgea ee aeg d dea deed dfb geg gea dfbbb aed eeg dfbbbc ee dee dfbbbc dee gea dfbbbc dea eed dfbbbc geg dee dfbbbc aed aea dfbbbc ee eed dfbbbc dea dee dfbbbc geg aeafbbbc aed deebbc ee dfbbee dea dfbbbcaeg geg dfbbbc deed aed dfbbbc gea ee dfbbbc aeg dee dfbbbc deed deafbbbc gea aebbbc aeg dfeebc deed dfbbee gea dfbbbaea aeg dfbbbc geg deed dfbbbc aed gea dfbbbc ee eeg dfbbbc dea dee dfbbbc geg aea dfbbbc aed eed dfbbbc ee dee dfbbbc dea aea fbbbc gea eed bbc geg gee c aed aeg ee deed dea gea geg aeg aed deed ee gea dea aeg geg deed aed gea ee aeg ``` <!-- end of image --> I observe 2 intersections inside area B. Answer: A: 0; B: 2; 0 + 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#e7929dff b,#894d80ff c,#c4a6c0ff d,#e8c0caff e,#dd6272ff f,#a87ba1ff g,#f4e2e7ff ``` ```image bd gbc bcc gbdf bgdf b gf b bg gb df b b b bg b cf b b b bd b cf b b b bd b fc b b b bd b fc b b b fd b fc b b b fc b fd b b g b fc b e f bd b bg dae fbc b fc fg e ed fbc bg b fd e e fbc gb fc fd e ge fbc bg b cc da ed fbc gb fc cc eg e fbc bg b dc e de fbc gb fc df e ebc b b gf ga fbce dbcc gf ad fbc de bb b e fbc eg df b ebc e b fbe aa b fbcad eg b fbc e e b fbc e aa b fbc e e b fbc da ge b fbc eg aa a b fbc e e deg b fbc e ge ege b fbc ga ad aa e b fbc ad e e de b bc e ge ed e b b e ed e da fgb ge e eg e fgb ad de ge aa fdb e ed e e ccb e e de ad ccb e de e e ccb da eg aa eg dfb eg e e e gfb e g ad eg gfb e e ge gbb ga eg e bf ad ge de bf e e e bc e de da bc ge e e bd ad aa aa bd e e e bg e ad ad b e g e b da eg b eg e f e eg e geg da eeg ag gee e gea e dea ge aed ad aed e eeg e eeg e geeda geg ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#f6cefcff b,#59a45aff c,#95c895ff d,#d1dad3ff e,#7ab57aff f,#f6eff8ff g,#b1d7b1ff ``` ```image gggggggggggggggggc gggggggggggggggggc gggggggggggggggggc ff gggggggggggggggggc be aaa gggggggggggggggggc bbbd aaa gggggggggggggggggc bbbbg aaa gggggggggggggggggc ebbbbe aaa gggcgggggggggggggc ebbbbbb faaf ggaaaggggggggggggc cbbbdbbb aaa ggaaabgggggggggggc dbbbd bbb fdgcf aaa ggdaaceggggggggggc dbbbg bbb fdgcbbbbbbbbbbb aaa gggaaabcgggggggggc fbbbe cbbggcebbbbbbbbbbbbbbbbbbbbf aaa gggaaabbgggggggggc bbbe gbbbbbbbbbbbbbbbbbbbbecggbbc faaf gggaaabbbggggggggc bbbb fbbbbbbbbbbecgd bbb faaf gggdaacbbbgggggggc bbbb gcgdf bbb aaa ggggaaabbbbggggggc bbbb ebbf aaa ggggaaagbbbegggggc ebbb dbbc aaa ggggaaaggbbbcggggc ebbbf bbb aaa ggggdaadgcbbbcgggc cbbbd bbb faaf gggggaaaggebbbgggc gbbbd ebbf aaa gggggaaagggbbbbggc dbbbg dbbc aaa gggggaaaggggbbbbgc fbbbc bbb aaa gggggdaadggggbbbbc bbbe gcccccbbbcccccaaacccccc ggggggaaaggggcbbbe bbbb cgggggbbbgggggaadgggggg ffffffaaafffffdbbbd bbbb cgggggcbbegggdaadgggggg aaa gbbbf bbbb cggggggbbbgggaaaggggggg faaf ebbb ebbb cggggggbbbgggaaaggggggg aaa bbbbebbbf cggggggbbbgggaaaggggggg aaa bbbbbbd cggggggcbbeggaaaggggggg aaa bbbbd cgggggggbbbgdaadggggggg faaf fbbg cgggggggbbbgdaagggggggg aaa f cgggggggbbbgaaagggggggg aaa cgggggggcbbeaaagggggggg aaa cggggggggbbbaaagggggggg faaf cggggggggbbeaadgggggggg aaa cggggggggbbgaadgggggggg aaa cggggggggcbaaaggggggggg aaa cgggggggggbaaaggggggggg faaf cgggggggggbaaaggggggggg aaa cgggggggggbaaaggggggggg aaa cggggggggggaagggggggggg aaa cgggggggggdaaeggggggggg faaa cgggggggggaaabggggggggg aaa cgggggggggaaabggggggggg aaa cgggggggggaaabcgggggggg aaaf cgggggggggaadbbgggggggg faaa cggggggggdaaebbgggggggg aaa cggggggggaaabbbgggggggg aaa cggggggggaaaebbcggggggg aaaf cggggggggaaagbbbggggggg aaa cggggggggaaagbbbggggggg aaa cgggggggdaadgbbbggggggg aaa cgggggggdaaggebbcgggggg aaaf cgggggggaaagggbbbgggggg aaa faafffff cgggggggaaagggbbbgggggg aaa faaaaaaaaaaaf cgggggggaaagggbbbgggggg aaa aaaaaaaaaaaaaa cgggggggaadgggebbcggggg faaf aaaa ffffaaaaaa cggggggdaadggggbbbggggg aaa aaa faaaa cggggggaaagggggbbbggggg aaa aaaf aaaaf fffffffaaafffffbbbfffff aaa faaa aaaaf aaa cbbd faaf aaaf aaaaa aaa fbbe aaa faaa faaaa faaf bbb aaa aaa faaaa faa bbb aaa aaaa aaaaf aaa cbbd faaf aaa aaaaa aaa fbbe aaa aaaf aaaaa aaa bbb aaa faaa faaaa aaa bbb aaa aaa aaaaf faaf cbg faaf aaaa aaaaf aaa aaa aaa aaaaa aaa aaa aaaf faaaa aaa aaa faaa faaaaaaa faaf aaa aaaaaf aaa aaaa aaaaf aaa aaa aaa aaa aaaf faaffaaa aaaaaa aaaaaa aaaaa faaaf aaa aa ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#f6cefcff b,#59a45aff c,#98c299ff d,#bbd1bdff e,#74b176ff f,#f8f0f9ff g,#dce7ddff ``` ```image gd gdaa faaaaag daaaaadf caaaaaaef gaaaaaec faaaaacbc faaaaadbbd aaaaaabbbg aaaaaaebbbg faaaaacbbbef faaaaadbbbbe aaaaaabbbbbc aaaaaaebbbbbd faaaaacbbbbbbd faaaaaabbbbbbbg aaaaaadbbbbbbef aaaaaafcbbbbbbef faaaaaf ebbbbbbc faaaaaa febbbbbbc aaaaaa gbbbbbbbd aaaaaaf gbbbbbbbg faaaaaf dbbbbbbbg faaaaaa cbbbbbbef aaaaaa cbbbbbbe aaaaaaf febbbbbbc faaaaaf febbbbbbd aaaaaa gbbbbbbbd aaaaaa dbbbbbbbg aaaaaaf dbbbbbbeg faaaaaf cbbbbbbe aaaaaa ebbbbbb ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Time for a closer look at another area. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#f6cefcff b,#59a45aff c,#9ec59fff d,#c5d9c7ff e,#78b379ff f,#fae6fdff g,#e8f2e8ff ``` ```image dbbbbbc aaaaaa gbbbbbe aaaaaa ebbbbbg aaaaaf cbbbbbd faaaaaf dbbbbbc faaaaaf gbbbbbe aaaaaa ebbbbbg aaaaaa cbbbbbd aaaaaf dbbbbbc faaaaaf gbbbbbe faaaaaf ebbbbb faaaaa cbbbbbd aaaaaa dbbbbbc aaaaaa gbbbbbe aaaaaf ebbbbb faaaaaf cbbbbbd faaaaaf dbbbbbc faaaaa gbbbbbe aaaaaa ebbbbb aaaaaf cbbbbbdfaaaaaf dbbbbbcfaaaaaf gbbbbbefaaaaa ebbbbbaaaaaa cbbbbbaaaaaa dbbbbeaaaaaf gbbbbcaaaaaf ebbbcaaaaaf cbbbdaaaaa dbbbaaaaaa gbbbaaaaaa bbeaaaaaf cbcaaaaaf dbdaaaaa gbdaaaaa baaaaaa caaaaaa daaaaad faaaaac faaaaae aaaaaabg aaaaadbd aaaaacbe faaaaacbb faaaaaebbg aaaaaabbbd aaaaaabbbc aaaaadbbbb faaaaacbbbbg faaaaaebbbbd faaaaaebbbbc aaaaaabbbbbb aaaaaaebbbbbg aaaaafcbbbbbd faaaaafgbbbbbc faaaaa bbbbbb aaaaaa ebbbbbg aaaaaa cbbbbbd aaaaaf dbbbbbc faaaaaf bbbbbe faaaaaf ebbbbbg faaaaa cbbbbbd aaaaaa dbbbbbc aaaaaa bbbbbe aaaaaf ebbbbbg faaaaaf cbbbbbd faaaaaf dbbbbbc aaaaaa bbbbbe aaaaaa ebbbbbg aaaaaf cbbbbbd faaaaaf dbbbbbc faaaaaf bbbbbe faaaaa ebbbbbg aaaaaa cbbbbbd ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f6cefcff b,#59a45aff c,#a3caa4ff d,#c4dcc4ff e,#7bb57cff f,#fae6fdff g,#e8f2e8ff ``` ```image f be aaa bbbg aaa bbbbc aaa ebbbbe aaa g ebbbbbb faaf aaa cbbbgbbb aaa aaae dbbbd bbb gdceg aaa faacc gbbbc bbb gdcebbbbbbbbbbb aaa aaabd gbbbe ebbdceebbbbbbbbbbbbbbbbbbbbg aaa aaabbg bbbe dbbbbbbbbbbbbbbbbbbbbecddbbc aaf aaabbb bbbb gbbbbbbbbbbecdg bbb faa faacbbb bbbb decd bbb aaa aaabbbb bbbb ebbg aaa aaa bbbe ebbb dbbc aaa aaa gbbbd ebbbg bbb aaa faaf dbbbg cbbbg bbb faaf aaa ebbb dbbbd ebbg aaa aaa bbbb gbbbc dbbc aaa aaa bbbb gbbbe bbb aaa faaf bbbe bbbe bbb aaa aaa gbbbc bbbb ebbg aaf aaa dbbbd bbbb dbbc faaf aaa cbbbg bbbb bbb aaa faaf ebbb ebbb bbb aaa aaa bbbbebbbg ebb aaa aaa bbbbbbg dbbc aaa aaa bbbbd bbb faaf faaf gbbc bbb faa aaa ebb aaa aaa dbbcaaa aaa bbbaaa faaf bbeaaf aaa bbcaaf aaa dbaaa aaa baaa faaf baaa aaa baaa aaa daad aaa faae aaf aaab aaa aaab aaa aaabd faa aadbb aaf faaebb aaa aaabbb aaa aaacbbd faa aaa bbb aaf aaa bbb aaa faaf bbb aaa faa cbbd faa aaa bbe aaa faaffff aaa bbb aaa faaaaaaaaaaaf aaa bbb aaa aaaaaaaaaaaaaf aaf cbbd faaf faaa ffffaaaaa faaf bbe aaa aaa faaaa aaa bbb aaa aaaf aaaa aaa bbb aaa aaa aaaaf aaa cbbd faaf aaa aaaaa aaa gbbe aaa faaa faaaa faaf bbb aaa aaa aaaa faa bbb aaa aaaf aaaaf aaa cbbd faaf aaa aaaaf aaa gbbe aaa aaaf aaaaa aaa bbb aaa faaa faaaa aaa bbb aaa aaa aaaa faaf cbd faaf aaaa aaaaf aaa aaa aaa aaaaa aaa aaa aaaf faaaa aaa aaa faaa aaaaaaa faaf aaa aaaaaf aaa aaaa aaaa aaa aaa faa aaa aaaf faaffaaa aaaaaa aaaaaa aaaaa faaaf aaa aa ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#807edaff b,#c0f793ff c,#abafdfff d,#d4f9b5ff e,#ecf2efff f,#b0d7b0ff g,#96ca96ff ``` ```image ed db bbb bbb bdbb bddb be bb be db eb bb eb db db bb db db c bb bb aae bb db aaaa bd bb caceae bd db aa aa be bd aa eac be db aae aa eb bd eac fgggaagggggggbgggggggggbb aa gfffaaffffffbbffffffffffbd aa gffffaafffffbbffffffffffdb cae gffffcafffffbbffffffffffebd eac gfffffaaffffbbffffffffffedb aa gfffffcaffffbbffffffffffe bd aa gffffffaafffbbffffffffffe db cae gfffffffacffbfffffffffffe bd eac gfffffffaaffbfffffffffffe db aa gffffffffacfbfffffffffffe bd aa gffffffffaafbfffffffffffe db cae gfffffffffaabfffffffffffe bd eac gfffffffffaabfffffffffffe db aa gffffffffffaafffffffffffe bd aa gffffffffffgafffffffffffe db cae gffffffffffbaaffffffffffe bd eac gffffffffffbfaffffffffffe db aa gffffffffffbfaafffffffffe bd aa gffffffffffbffacffffffffe bb cae gffffffffffbffaaffffffffe be eac gffffffffffbfffacfffffffe bd aa gfffffffffbbfffaafffffffe bb aa gfffffffffbbffffaaffffffe db cae gfffffffffbbffffaaffffffe be eac gfffffffffbbfffffaafffffe bb aa gffffffffbbffffffcafffffe db aa fggggggbbbggggggggaagggge eb cae bbd eae bd eaa bbd aa bb aa bbe eac db aa ebb aa eb cac dbb ac bd eaa bbd ca bb aa bbe aa db aa ebb ca be eeeeeeeeeeeeeecace dbb aa d ffffffffffffffaafge dbb cae fffffffffffffaafffe bbd aa ffffffffffffaaffffe bbe eae fffffffffffcacffffe ebb aa fffffffffffaafffffe dbb eac ffffffffffaaffffffe bbd aa fffffffffaafffffffe bbd ac ffffffffcacfffffffe bbe ca ffffffffaaffffffffe ebb aa fffffffaafffffffffe edbb cae ffffffaaffffffffffddbbbbbbbbbbd aa ffffffacbbbbbbbbbbbbbbbddee eae fffbbaabbbbbffffffe aa ffffaaffffffffffffe eac fffaafffffffffffffe aa fffacfffffffffffffe ac ffffffffffffffffffe aa ffffffffffffffffffe ac ffffffffffffffffffe ca ffffffffffffffffffe aa ffffffffffffffffffe cae ffffffffffffffffffe aa ffffffffffffffffffe eae ffffffffffffffffffe aa fffffffffffffffffge eac eeeeeeeeeeeeeeeeee c ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#7f7ddbff b,#c0f793ff c,#c1c2eaff d,#d3f9b3ff e,#e9fcdaff f,#9c9ddeff g,#e5e4f7ff ``` ```image caaac gaaaf aaaa faaag caaac gaaaf aaaa faaag caaac gaaaf faaa faaag caaac gaaaf faaa faaag caaac gaaaf faaag faaag caaac gaaaf faaag eeee caaag eeeeeddddbbbbbbbb eeeecaaafbbbbbbbbbbbbbbbbbbbb dbbbbaaafbbbbbbbbbbbbbbbbbbbdd dbbbfaaabbbbbbbddddeeee dbbfaaaceee gaaac gaaaf faaag caaac aaac gff g ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Next up, a closer look at another region. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#807edbff b,#c0f794ff c,#c7c7edff d,#d6f9bbff e,#eafcdbff f,#a4a5e1ff g,#e9e9f8ff ``` ```image caaag ebbb e aaaf ebbd caaag dbbd faaf dbbd gaaac dbbe faaa bbbe gaaac bbbe faaa bbb gaaac bbb caaag ebbb aaaf ebbb caaag ebbd aaaf dbbd caaag dbbd faaf dbbe gaaac bbbe faaa bbbe gaaac bbb faaa bbb gaaac ebbb caaagebbb aaafebbd caaadbbd faafbbd gaaabbe faaabe gaaabe faaag gaaac efaaag ebaaaf ebfaaag dbbaaaf dbbcaaag dbbefaaf bbbegaaac bbbe faaa bbb gaaac bbb faaa ebbb gaaac ebbb caaag ebbd aaaf dbbd caaag dbbd aaaf dbbe caaag bbbe faaf bbbe gaaac bbb faaa bbb gaaac dbbb faaa bbbbd gaaac ebbbbd caaag ebbbbd aaaf ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7f7ddbff b,#c0f793ff c,#bebfeaff d,#d2f9b2ff e,#eafcdbff f,#9c9ce0ff g,#e3e2f6ff ``` ```image ed db bbb bbb bdbb bddb be bb b db eb bb eb db db bb db db c bb bb aag bb db faaa bd bb cacgag bd db aa aa be bd aa gac b db fag aa eb bd gac af eb db aa fa db bd aa af db db fag ca bb bd gac aa bb db aa cag bd bd aa aa bd db fag gag be bd gaf aa b db aa aceb bd aa aaeb db fag afb bd gaf fab db aa aa bd aa fa db fag baa bd gaf bcag db aa beaa bd aa b gac bb fag eb aa be gaf eb ac bd aa db fa bb aa db af eb cag bb fa be gaf bb aa bb aa ebb cag db aa dbb aa eb cag bbd gag be gaf bbe aa bb aa bb gac db aa ebb aa b cac dbb af bd af bbd fa bb aa bbe af db aa ebb ca be cac ebb aa e aa dbb cag aa bbd aa aa bbe gag cac ebb aa aa dbb ac aa bbd aa fa bbe af cac bbe fa aa ebb aa aa edbb ca fag eeddbbbbbbbbbbd aa eecafbbbbbbbbbbbbbbbddee gag bbaabbbddeee aa aa gac fag aa ac ac fa af fa aa cag aa gag aa gac c ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#19f893ff b,#a5fbd5ff c,#45f3a1ff d,#b0d7b1ff e,#92cf9aff f,#74efb1ff g,#eaf9efff ``` ```image a fag aag aag baab aaab aaab babab ca ab aa af gaf af fa af aa af ac ac bag ac aa ac ggggggggggggaagggacgggg aacbg geddddddddddeafdddaadddd faaaaaaaabg gdddddddddddaaddddaadddd aa gbcaaaaaaafg gdddddddddddaaddddaadddd gaf gbcaaaaaaafg gdddddddddddacddddaadddd ca bcaaaaaaafg gddddddddddcadddddaadddd aa bcaaaaaaafg gddddddddddaadddddaadddd bab bcaaaaaaafb gddddddddddacdddddaadddd aa bcaaaaaaacfddddddfaedddddaadddd ac bfaaaaaaacfdaaddddddaadddd ca gddfcaaaaaaaddddddaadddd aa gdddddddecaeddddddaadddd bab gdddddddddddddddddaadddd aa gdddddddddddddddddaadddd ac gddddddddddddddddfaafddd fag gddddddddddddddcaaaaeddd aa gdddddddddddcaaaafaadddd gaf gddddddddfaaaacdddcadddd aa gddddddaaaaaddddddcadddd aa gdddcaaaafddddddddcadddd fag gfaaaacdddddddddddcadddd aa gaaaacddddddddddddddcadddd gaf caaaaeddddddddddddddddcadddd ca baaaab gdddddddddddddddddfadddd aa baaaac gdddddddddddddddddfadddd bab gcaaaag gdddddddddddddddddfadddd aa faaaab gdddddddddddddddddfadddd ac baaaaf gdddddddddddddddddfaeddd ca gcaaacg gdddddddddddddddddfaeddd aa faaaab geeeeeeeeeeeeeeeeeeaeeee bab baaaaf gab aa gcaaacg gab ac faaaab gab fag gaaaf ab aa faag eeeeeeeeeeeeeeaceeg aaa dddddddddddddaadddg baaf dddddddddddddaadddg caag ddddddddddddfaedddg aaa ddddddddddddaaddddg baaf ddddddddddddacddddg caag dddddddddddaadddddg aaa dddddddddddaadddddbaab ddddddddddfafddddaaag ddddddddddaaddddaac ddddddddddacdddaafg dddddddddcadddcacdg dddddddddaaddcaaddg ddddddddfafdfaadddg ddddddddaaddaaddddg ddddddddaadaadddddg dddddddcadaaddddddg dddddddaaaafddddddg ddddddeaaacdddddddg ddddddaaacddddddddg ddddddaaadddddddddg dddddcaaddddddddddg dddddaadddddddddddg ddddaacdddddddddddg dddaaaddddddddddddg dddaaaddddddddddddg dddfafddddddddddddg dddaadddddddddddddg dddacdddddddddddddg dddeddddddddddddddg ddddddddddddddddddg ddddddddddddddddddg ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#16f897ff b,#8cfbc8ff c,#43f9a6ff d,#abfcd7ff e,#1ffa8cff f,#69fab9ff g,#d5fdebff ``` ```image gaaab faaag aaac daaad caaa gaaaf baaag aaac daaab faaa gaaaf baaag caac gaaab faaag aaaf daaad g caaa de gaaab bee faaag deee aaac geeee daaad geeeeb caaa ceeef gaaaf ceeec baaag feeecg aaac beeeeg daaab deeeeg faaa geeeed gaaaf geeeeb baaag ceeef caac ceeec gaaab feeec faaagbeeeeg aaafdeeeeg daaabeeeed caaaeeeeb gaaaeeeef faaeeeec aaeeeec daaeeeeg caeeeeg gaeeeed feeeeb geeeef ceeec feeeeg beeeef deeeeag deeeeac geeeeaab gceeeaag ceaaf baaad caaa gaaab faaag aaac gcaad gf ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Now, let's dive into another area. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#15f897ff b,#8ffbcaff c,#3bf9a3ff d,#b8fcdeff e,#1efa8cff f,#64fab7ff g,#dffdefff ``` ```image faaa faac aaaf faac daaad baac baaag baaa caac baaa gaaab baaa baaag baaa caac baaa gaaaf baaa daaad baaag faaa daaag aaaf daaag daaad daaag baaag daaag caac daaag d gaaab daaad aacfbdg baaag daaad aaaaaaacfbdg faac gaaad aaaaaaaaaaaacfbdg aaaf gaaad dbfcaaaaaaaaaaaaaccaaad gaaad gdbfcaaaaaaaaaaaaa gaaad gdbfcaaaaaaaf gaaad dbfcacg gaaab aaab aaab aaab aaab aaee dfeeeed gbceeeeeef gbceeeeeeeecg dfeeeeeeeeeaaf gfeeeeeeeecbgcaaf gbceeeeeeecbg caaf dfeeeeeeeefd caaf dfeeeeeeeefd caaf gbceeeeeeecbg faaf bceeeeeeeefd faac dfeeeeeeeefd faac gbceeeeeeecbg faac gbceeeeeeeebg faac eeeeeeeefd faac eeeeecbg faac eecbg faac fd baaa baaa baaa baaa baaa baaa baaa daaag daaag daaag daaag daaag daaag daaad ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#15f897ff b,#92fbcdff c,#41f9a6ff d,#b6fcdcff e,#1ffa8cff f,#6afab9ff g,#dcfdeeff ``` ```image a fag aag aad baad aaad aaad dabab ca ab aa ab gaf af fa af aa af ac af bag ac aa ac aa ac aacbg dad aa baaaaaaacbg ca aa aa gbcaaaaaaabg aa aa gaf bcaaaaaaafg af aa ca bcaaaaaaafg fa aa aa dcaaaaaaafg aa aa bad dcaaaaaaafd ac aa aa dcaaaaaaafd bag aa ac dfaaaaaaafd aa aa ca dfaaaaaaa aa aa dfag aa dab aa aa aa ac deed fag gceeeeg aa feeeebca gab deeeef ca aa gceeecg ca aa feeeed fa bag beeeef fa aa geeeecg fa gaf feeeed fa ca beeeeb ba aa deeeef ba bad gceeeeg ba aa feeeeb dag ac deeeef dag ca gceeecg dag aa feeeed gad dab beeeef gad aa geeeecg gad ac feeeed gab fag geeeb ab aa feeg gab eee aa deef aa ceeg bag eee aa deef gaf ceeg ca eee aa deeb bad ceeg aa eec ac eeb ca cef aa fec dab dee aa gee ac ee fageeg aaeed gaeef aeec aee fee ee eef eea geea bad aa ac d ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#d25d5fff b,#687a6cff c,#e9c0c0ff d,#99c196ff e,#f1f4eeff f,#ca8d82ff g,#b1d7b1ff ``` ```image eac eaaaa eaaaaaa fe aaaac cac caf aaaac aa fac faaac aa aa faaac fac aa faaac eaa eaa faaaf aa cac caaaf aac aae eeeeeeeecaaafeeeeeeeeeeeeeeeeecaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaee dgggggfaaaaggggggggggggggggggggaagggggggggggggggggggggggggggggggggaagde dgggdaaaaggggggggggggggggggggggaaggggggggggggggggggggggggggggggggdafgge dgdaaaaggggggggggggggggggggggggfafgggggggggggggggggggggggggggggggfadgge daaaagggggggggggggggggggggggggggaagggggggggggggggggggggggggggggggaaggge faagggggggggggggggggggggggggggggaagggggggggggggggggggggggggggggggaaggge aaggggggggggggggggggggggggggggggfafggggggggggggggggggggggggggggggaaggge aagggggggggggggggggggggggggggggggaagggggggggggggggggggggggggggggfafggge cafgggggggggggggggggggggggggggggggaagggggggggggggggggggggggggggggaagggge aaggggggggggggggggggggggggggggggggfafggggggggggggggggggggggggggggaagggge aagggggggggggggggggggggggggggggggggaaggggggggggggggggggggggggggggaagggge cafgggggggggbdggggggggggggggggggggggaaggggggggggggggggggggggggggggaagggge aadggggggggbbbbgggggggggggggggggggggaadggggggggggggggggggggggggggfafgggge aadggggggggbbbbbbgggggggggggggggggggdaaggggggggggggggggggggggggggaaggggge cafdggggggggbbgdbbbdggggggggggggggggggaaggggggggggggggggggggggggggaaggggge aaedgggggggbbdgggbbbbgggggggggggggggggaaggggggggggggggggggggggggggaaggggge aa dgggggggbbggggggbbbbgggggggggggggggfafggggggggggggggggggggggggfafggggge caf dggggggdbbgggggggdbbbdggggggggggggggaaggggggggggggggggggggggggaagggggge aae dggggggbbggggggggggbbbbgggggggggggggaaggggggggggggggggggggggggaagggggge aa dggggggbbggggggggggggbbbbgggggggggggfafgggggggggggggggggggggggaagggggge caf dgggggdbbgggggggggggggdbbbdggggggggggaagggggggggggggggggggggggaagggggge aae dgggggbbggggggggggggggggbbbbgggggggggaaggggggggggggggggggggggfafgggggge aa dgggggbbggggggggggggggggggbbbbgggggggfafgggggggggggggggggggggaaggggggge caf dggggbbdgggggggggggggggggggdbbbdggggggaagggggggggggggggggggggaaggggggge aae dggggbbggggggggggggggggggggggbbbbdggggaagggggggggggggggggggggaaggggggge aa dggggbbggggggggggggggggggggggggbbbbgggaadgggggggggggggggggggdafggggggge caf dgggbbdgggggggggggggggggggggggggdbbbdgdaagggggggggggggggggggfadggggggge aae dgggbbggggggggggggggggggggggggggggdbbbdaagggggggggggggggggggaagggggggge e aa dggdbbggggggggggggggggggggggggggggggbbbbagggggggggggggggggggaagggggggge eaf caf dggbbggggggggggggggggggggggggggggggggdbbbbggggggggggggggggggaagggggggge aa aae dggbbggggggggggggggggggggggggggggggggggdbbbdgggggggggggggggfafgggggggge aa aa dgdbbgggggggggggggggggggggggggggggggggggabbbbggggggggggggggaaggggggggge aacaa dgbbggggggggggggggggggggggggggggggggggggfafbbbbggggggggggggaaggggggggge aaaae dgbbgggggggggggggggggggggggggggggggggggggaagdbbbdggggggggggaaggggggggge aaaa dbbdgggggggggggggggggggggggggggggggggggggaagggbbbbggggggggdafggggggggge aaaa dbbggggggggggggggggggggggggggggggggggggggfafggggbbbbggggggfadggggggggge aaae dbbgggggggggggggggggggggggggggggggggggggggaagggggdbbbdggggaagggggggggge faa bbdgggggggggggggggggggggggggggggggggggggggaagggggggbbbbgggaagggggggggge faa bbggggggggggggggggggggggggggggggggggggggggaadggggggggbbbbgaagggggggggge eae cbbggggggggggggggggggggggggggggggggggggggggdaagggggggggdbbbafgggggggggge bbggggggggggggggggggggggggggggggggggggggggggaagggggggggggbbbbgggggggggge bbggggggggggggggggggggggggggggggggggggggggggaaggggggggggggabbbbgggggggge gbbggggggggggggggggggggggggggggggggggggggggggfafgggggggggggaadbbbdgggggge bbdgggggggggggggggggggggggggggggggggggggggggggaagggggggggggaaggbbbbggggge bbdgggggggggggggggggggggggggggggggggggggggggggaaggggggggggfafggggbbbbggge dbgdgggggggggggggggggggggggggggggggggggggggggggfafgggggggggaaggggggdbbbdge bb dggggggggggggggggggggggggggggggggggggggggggggaagggggggggaaggggggggbbbbe ebb dggggggggggggggggggggggggggggggggggggggggggggaagggggggggaaggggggggggbde bbc dggggggggggggggggggggggggggggggggggggggggggggfafgggggggfafgggggggggggge bb dgggggggggggggggggggggggggggggggggggggggggggggaagggggggaaggggggggggggge gbb dgggggggggggggggggggggggggggggggggggggggggggggaagggggggaaggggggggggggge bbe dgggggggggggggggggggggggggggggggggggggggggggggaadggggggaaggggggggggggge bb dgggggggggggggggggggggggggggggggggggggggggggggdaaggggggaaggggggggggggge gbd dggggggggggggggggggggggggggggggggggggggggggggggaagggggfafggggggggggggge bb dggggggggggggggggggggggggggggggggggggggggggggggaagggggaagggggggggggggge bb dggggggggggggggggggggggggggggggggggggggggggggggfafggggaagggggggggggggge dbg dgggggggggggggggggggggggggggggggggggggggggggggggaaggggaagggggggggggggge bb dgggggggggggggggggggggggggggggggggggggggggggggggaagggdafgggggggggggggge ebb gdddddddddddddddddddddddddddddddddddddddddddddddfafddfaddddddddddddddde bbc aa aa bb aa aa gbb faceaa bbe eaacac bb aaaae dbd faaa bb eaaa ebb aaf dbg aac bb ea ebb gc ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d25d5fff b,#66776aff c,#e9b2b3ff d,#89968cff e,#e8dbdaff f,#de8788ff g,#b4bcb6ff ``` ```image caaaaafe eaaa aaaf caaaaaaf aaae aaac cfaaaaac eaaf aaa efaaaaaac aaa eaaf eaaaaaac faac caac efaaaaac caaf faae caaaaac faae eaaa aaaaa caaf caaf caaafe eaaa caac faac aaae faae aaa aaac aaa aac aaaa caac aa faaa faac aa eaaa aaae aa aaa aaa af caaf caaa ac aaa faaa a faae aaaa f gbdg caaf aaaf bbbbbg faae aaac bbbbbbbg caac aaae gbbbbbbbbe eaaf aaa dbbgebbbbbg aaae eaaf gbbd gbbbbbe aaaf faae dbbe ebbbbbg aaaa aaa ebbb gbbbbbbg faaa eaaf gbbg gbbbbbe caaa caaf ebbb gbbbbbbg faae faae dbbb gbbbbbe caaf aaa bbbb ebbbbbd eaaa eaaf gbbbd ebbbbbbg faae caac dbbbg gbbbbbe caac faae bbbd edbbbbbg aaae eaaa bbbe gbbbbbd faac caaa ebbb ebbbbbde eaaf caaa gbbg edbbbbbg aaa faaa ebbd dbbbbde aaaf eaaaf dbbg dbbbbbg aaaa caaac bbbe gbbbbbb faaa faaac gbbd dbbbbde caaa aaaae ebbb gbbbbbb faae aaaf gbbb gbbbbde caac aaac dbbb dbbbbbg eaaf aaae bbbb gbbbbbb aaae aaa bbbe dbbbbbdaaf caaf ebbd gbbbbbbaa faac dbbg gbbbbbac faae bbbe dbbbbbd aaa gbbd ebbbbbb eaaf ebbb bbbbbbde faae gbbd aabbbbbbg aaa dbbe faabbbbbbe eaaf ebbb caaadbbbbbde caaf bbbb aaae gbbbbbe faae bbbd faac ebbbbbde aaa bbbg eaaf edbbbbbg eaaa bbbe aaa gbbbbbg caaa dbbg caaf edbbbbbg aaaa ebbb aaa gbbbbbg aaaa gbbd faae bbbbbde aaaf dbbe caaf edbbbbbg aaac bbg aaae bbbbbde aaa bbe aaac edbbbbbdaaf bb aaaa gbbbbbaac bb aaaae bbbbbbc bb faaac edbbbbbd bg aaaa eabbbbbde b faaa caadbbbbbd d caaa faaeebbbbbb e aaa aaa bbbbbde caaf caaf edbbbbb eaaa faac gbbbbde faae faae dbbbbbde caac aaa edbbbbb aaae caaa dbbbbb faac faaa edbbg eaaf aaaa gb aaa aaaf e aaaf aaac aaaa aaae faaa aaa caaa eaaf faae faae caac aaa eaaa aaa aaae eaaf faac caac aaa aaa faac eaaf caaf caac aaa faac aaaf aaa aaaa eaaa ``` <!-- end of image --> Yes! I knew it! There's 2 intersections right here in area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d35d5fff b,#65776aff c,#e9b2b3ff d,#8b978eff e,#eedddcff f,#dd8384ff g,#bcc4bfff ``` ```image eac eaaaa aaaaaa fe aaaae cac eaf aaaac aa fae faaac aa aa faaac fac aa faaac aa aa faaaf aa cac caaaf fae aa caaaf eaf aa caaaf aa aa eaaaa aa eaf eaaaa caf fae aaaa aa aa caae aa aa aa cac aa aa aa cac caf aa aae aa fac aa aa aa aa caf bg aa eaf aa dbbb fae fac aa bbbbbd eaf aa caf ebb gbbbg aa aa aa dbg dbbb aa aa aa bb bbbd caf caf caf gbd gbbbg aa fae aae bbe dbbbe aa aa aa bb bbbd cac aa eaf gbd gbbbg aa eaa aae bb dbbbe aa cac aa bb bbbb fac aa eaf dbg ebbbg aa aa aae bb dbbbe aa aa aa ebb bbbb fae eaf eaf dbg ebbbd eaf fae aae bb gbbbeaa aa aa gbd bbbba aa eaf eaf bbe ebbbd aa aa aae bb gbbbe cac aa aa gbd abbbb aa aaeaf bb cacbbbd aa aaaae bb aa gbbbg aa aaaa dbg aa dbbb eaf aaaa bb fac bbbd fae aaae ebb aa gbbbg aa faa dbe aa dbbb aa faa bb fae bbbd aa eae gbd eaf gbbbac bbe aa dbbb bb aa abbbd gbd caf aagbbbg bb aa eaf dbbbe bb aa fac bbbd dbg cac aa ebbbg bb aa aa dbbb ebb aa aa b bbe fac caf bb aa fae gbd aa aa bbe fae aa bb eaf eaa gbd aa cac bb aae aa bb caf aa dbg aa aa bb aa eaf ebb cac fae bbe aa aa bb aa aa gbd fac aa bb aacac bb aaaa gbd faaa bb eaaa bb aaf dbg aae bb f ebb ge ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0f3ecff b,#9051b1ff c,#a65139ff d,#d9b5abff e,#99c796ff f,#b58770ff g,#b1d7b1ff ``` ```image bb bbb bbbb bbbbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb eeebbeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gggbbggggggggggbbbggggggggggggggggggggggggggge gggbbgggggggggggbbbgggggggggggggggggggggggggge gggbbggggggggggggbbbggggggggggggggggggggggggge gggbbgggggggggggggbbbgggggggggggggggggggggggge gggbbggggggggggggggbbbggggggggggggggggggggggge gggbbgggggggggggggggbbbgggggggggggggggggggggge gggbbggggggggggggggggbbbggggggggggggggggggggge gggbbgggggggggggggggggbbbgggggggggggggggggggge gggbbggggggggggggggggggbbbggggggggggggggggggge gggbbgggggggggggggggggggbbbgggggggggggggggggge gggbbggggggggggggggggggggbbbggggggggggggggggge gggbbgggggggggggggggggggggbbbgggggggggggggggge gggbbggggggggggggggggggggggbbbggggggggggggggge addffcca gggbbgggggggggggggggggggggggbbbgggggggggggggge addffccccccccccccccccc gggbbggggggggggggggggggggggggbbbgggggggggeeffccccccccccccccccccccccccccffddcc gggbbggggggggggggggggggggggeefbbbccccccccccccccccccccccccffddaa cc gggbbggggggggeefffcccccccccccccbbbccccccccccffdaa ccd ggebbcccccccccccccccccccccccccffbbbgggggggggge dcc ggebbcccccccccccfffegggggggggggggbbbggggggggge cc ggebbeggggggggggggggggggggggggggggbbbgggggggge cc gggggggggggggggggggggggggggggggggggbbbggggggge ccd ggggggggggggggggggggggggggggggggggggbbbgggggge fcf gggggggggggggggggggggggggggggggggggggbbbggggge acc ggggggggggggggggggggggggggggggggggggggbbbgggge cc gggggggggggggggggggggggggggggggggggggggbbbggge cca ggggggggggggggggggggggggggggggggggggggggbbbgge fcd gggggggggggggggggggggggggggggggggggggggggbbbge dcc ggggggggggggggggggggggggggggggggggggggggggbbbe cc gggggggggggggggggggggggggggggggggggggggggggbbb cc ggggggggggggggggggggggggggggggggggggggggggggbbb ccd gggggggggggggggggggggggggggggggggggggggggggggbbb dcc gggggggggggggggggggggggggggggggggggggggggggggebbb cc ggggggggggggggggggggggggggggggggggggggggggggge bbb cc ggggggggggggggggggggggggggggggggggggggggggggge bbb cca ggggggggggggggggggggggggggggggggggggggggggggge bbb fcf ggggggggggggggggggggggggggggggggggggggggggggge bbb acc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbb cc bbb cca bbb fcd bbb dcc bbb cc bbb cc bbb ccd bbb dcf bbb acd bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb b ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ebdde5ff b,#9051b1ff c,#a65038ff d,#c9968bff e,#ddbeb8ff f,#c7a8d8ff g,#b26c63ff ``` ```image fbbbf fbbbbbf fbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbbf fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf bbbba fbbbbbf abbbba fbbbbbf aaaeeeddd abbbb fbbbbbf aaeeedddgggccccccccccc abbbb aaeeedbbbbbgcccccccccccccccccccccccc abbbb aaeeedddgggcccccccccgbbbbbgccccccccccccccccccccccc abbbb aaeeedddgggccccccccccccccccccccccccgbbbbbgcccccccccccccccccgggdd abbbb aaeeedddgggcccccccccccccccccccccccccccccccccccccccgbbbbbgccgggdddeeeaaa ebbbbccccccccccccccccccccccccccccccccccccccccccccccccgggddddbbbbbf ebbbbccccccccccccccccccccccccccccccccccgggdddeeeaaa fbbbbbf ebbbbccccccccccccccccccccgggdddeeeaaa fbbbbbf ebbbbccccccgggdddeeeaaa fbbbbbf abbbbeaaa fbbbbbf affff fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbbf fbbbbb fbbbb fbbb fbb fb f ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f2e8e8ff b,#9051b1ff c,#a65038ff d,#d4ab9fff e,#e2c9c5ff f,#c38b7bff g,#b46c58ff ``` ```image bb bbb bbbb bbbbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb bb bbb aedffgca abb bbb aedffgcccccccccccccccc abb bbb aedffgccccccccccccccccccccccccgfdecc abb aedbbbccccccccccccccccccccccccgfdeea cc abb aedffgccccccccccccbbbcccccccccgfdeea gcd ebbccccccccccccccccccccccccgfdbbb dcg ebbccccccccccgfdeea bbb cc ebbea bbb cc bbb cce bbb fcf bbb acc bbb cc bbb cca bbb gcd bbb ecc bbb cc bbb cc bbb ccd bbb dcg bbb cc bbb cc bbb cce bbb fcf bbb acc bbb cc bbb cca bbb gcd bbb ecc bbb cc bbb cc bbb cce bbb dcg bbb acd bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb bbb b ``` <!-- end of image -->
[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c94a9ff b,#54bbc7ff c,#c5cad4ff d,#89cecbff e,#ecf3f0ff f,#b1d7b1ff g,#a2cda3ff ``` ```image ca aae caaa aaaa caaaa aa aac caa eaa aae aa eaa aae aae caa eaa aa aac aa aa aac aac eaa aa aa aac aae aa caa caa aa e aa aa cbb caa aac bb aae eaa bb caa aa dbd aae aae bb eaa caa bb aac aa bbc eaa aa ebb aac aac bb aa eaa bbe aac aa cbd aa aae bb caa caa bb aa aa dbd caa aa ebb aae aac bb caa eaa bbc aae aa ebb eaa aae bb aae caa bbe eaa aa dbd aac aa bb aa aac bb aac eaa dbd aa aa ebb aac aae bb aa caa bbe caa aa cbb aa aa bb caa eeeeeeeaaceeeeeeeeeeee bbe aae eggggggggaagggggggggggg dbd caa egfffffffaaffffffffffff bb aae egfffffffaagfffffffffff eggggggbbggggggggggggggge eaa egfffffffgaafffffffffff egfffffbbdfffffffffffffge aac egffffffffaafffffffffff egfffffgbbfffffffffffffge eaa egffffffffaafffffffffff egffffffbbfffffffffffffge aac egffffffffaagffffffffff egffffffbbgffffffffffffge aa egfffffffffaaffffffffff egffffffdbbffffffffffffge aac egfffffffffaaffffffffff egfffffffbbffffffffffffge aa egfffffffffaagfffffffff egfffffffbbffffffffffffge caa egfffffffffgaafffffffff egfffffffdbdfffffffffffgeaaaa egffffffffffaafffdbdfff egffffffffbbffffffffffaaaaaae egffffffffffaabbbbbbfff egffffffffbbfffffffgaaaaac egfffffffdbbaaabbbdffff egffffffffbbdfffgaaaaaage egfffdbbbbbbbaaffffffff egffffffffgbbfaaaaaafffge edbbbbbbbbdffaaffffffff egfffffffffaaaaaagfffffge cbbbbbbbbdffffffaagfffffff egffffffgaaaaagffffffffge cbbbbbbbbdffffffffffgaafffffff egfffgaaaaaabbfffffffffge cbbbbbbbde egffffffffffffaafffffff egfaaaaaafffbbfffffffffge cbbbbbbbde egffffffffffffaafffffff caaaaagfffffbbfffffffffge cbbbbbbbde egffffffffffffaagffffff caaaaagffffffffbbdffffffffge dbbbbbbbde egfffffffffffffaaffffff eaaagfffffffffffbbffffffffge dbbbbbbbde egfffffffffffffaaffffff e egfffffffffffbbffffffffge edbbbbbbbde egfffffffffffffaagfffff egfffffffffffbbdfffffffgdbbbbbbbde egfffffffffffffgaafffff egfffffffffffdbbffffdbbbbbbbde egffffffffffffffaafffff egffffffffffffbbdbbbbbbbde egffffffffffffffaafffff egffffffffffffbbbbbbdffge egggggggggggggggaaagggg egffffffffffffgbdffffffge eeeeeeeeeeeeeeeeaaeeee egfffffffffffffffffffffge aa egfffffffffffffffffffffge aae eggggggggggggggggggggggge caa ce ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9b93a9ff b,#52bbc8ff c,#c7dfe5ff d,#94d3dbff e,#e7eff2ff f,#beb9c6ff g,#6dc4cfff ``` ```image dbbbd cbbbg ebbbbe gbbbc dbbbg ebbbb gbbbc dbbbd cbbbb bbbbe dbbbd cbbbg ebbbbe gbbbc dbbbd ebbbb bbbbc dbbbd cbbbg ec bbbbe cfaa gbbbd efaaaaa cbbbg efaaaaaaaa ebbbbe cfaaaaaaaaaa gbbbc cfaaaaaaaaaafe dbbbd efaaaaaaaaaafc cbbbb efaaaaaaaaaaace bbbgaaaaaaaaaaafe daaaaaaaaaaafe efaaaaaaaaaafc efaaaaaaaaaaafe cfaaaaaaaaaaad efaaaaaaaaaaabbbg efaaaaaaaaaafc ebbbbe ecaaaaaaaaaaafe gbbbc cfaaaaaaaaaafe dbbbd faaaaaaaaaafc cbbbb aaaaaaaafc bbbbc aaaaaafe dbbbd aaafe cbbbg fc ebbbbe gbbbc dbbbg ebbbb gbbbc e dbbbd ecdgb cbbbb ecdgbbbbb bbbbe ecdgbbbbbbbbb gbbbddgbbbbbbbbbbbbb cbbbbbbbbbbbbbbbgdce ebbbbbbbbbbbgdce gbbbbbbgdce egbgdce ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Moving on to the next area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#9a92a8ff b,#55bcc8ff c,#cec9d4ff d,#95d5dcff e,#e9ecf0ff f,#b2abbbff g,#c0e6eaff ``` ```image faaac caaaf eaaaae faaac caaaf eaaaa aaaae faaac caaaf eaaaae faaac caaaf eaaaa aaaae faaac caaaf eaaaae faaac caaaf eaaaa aaaae faaac caaaf eaaaae faaac gdbbg caaaf gdbbbbbbd eaaaabbbbbbbbbbb egdaaaabbbbbbbbbbb egdbbbbaaaaabbbbbbdge egdbbbbbbbbbaaaabbdge egdbbbbbbbbbbbbbaaaae egdbbbbbbbbbbbbbbbdgaaaac egdbbbbbbbbbbbbbbbdge caaaf bbbbbbbbbbbbbbbdge eaaaa bbbbbbbbbbbdge aaaae bbbbbbbdge faaac bbbdg caaaf g eaaaae faaac caaaf eaaaa aaaae faaac caaaf eaaaae faaac caaaf eaaaa aaaae faaac caaaf eaaaae faaac caaaf eaaaa aaaae ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9b92a8ff b,#54bbc8ff c,#cfcad5ff d,#88d0d9ff e,#e7ebefff f,#b2abbcff g,#b9e3e8ff ``` ```image fa aae faaf aaaa caaaa aa fac caa eaa aae aa eaa aae aae caf eaa aa aac aa aa fac aac eaa aa aa faf aae aa caf faf aa e aa aa gbb caa fac bb aae eaa bb caa aa dbd aae aae bb eaa caf bb aac aa bbg eaa aa ebb aac fac bb aa eaa bbe faf aa gbd aa aae bb faf caf bb aa aa dbd caa aa ebb aa fac bb caa eaa bbg aae aa gbb eaa aae bb aae caf bbe eaa aa gbd aac aa bb aa fac bb aac eaa dbg aa aa ebb faf aae bb aa caf bbg faf aa gbb aa aa bb caa fac bbe aae eaa dbd caa aa bb aae aae bb eaa caf dbg aac aa ebb aa aa bb aac fac bbe aa eaa gbb faf aa bb aa aae bb faf caf dbd eaaaa aa gdg bb faaaaae aadbbbbb bb caaaaac gbbaaabbbg bbg eaaaaaf gbbbbbbbaa ebbefaaaafe gbbbbbbbbg aa aaaaaae gbbbbbbbbg aae caaaaac gbbbbbbbdg caf eaaaaafbd gbbbbbbbdg aa efaaaafe bb gbbbbbbbdg aa faaaaae bb gbbbbbbbde fac caaaaac dbd gbbbbbbbde eaa aaf ebb dbbbbbbbde aa e bb dbbbbbbbde aae bbg edbbbbbbbde caf gbb edbbbbbbbde aa bbdbbbbbbbde aa bbbbbbde fac ebd eaa aa aae caf fe ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#976378ff b,#a39a90ff c,#96c996ff d,#822f44ff e,#b2d7b1ff f,#eff5efff g,#a9cba7ff ``` ```image ea dd ddd fdddf dd dg adf da fdd dd ef dd dd aa gdb ad faag dd bd baaa adf fdf fffffffffffffffffffaaeaefffffffffffffffdaffffffdbffffffffffffffffffffffffffffffffff fcggggggggggggggggggabgaaggggggggggggggddgggggggddgggggggggggggggggggggggggggggggggc fgeeeeeeeeeeeeeeeeeaaeebabeeeeeeeeeeeeadbeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeeeaaeeeaaeeeeeeeeeeeeddeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeeeabeeebageeeeeeeeeeddeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeebaeeeeeaaeeeeeeeeebdaeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeeaaeeeeebageeeeeeeeddeeeeeeeeeegdbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeeabeeeeeeaaeeeeeeeddgeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeebaeeeeeeebageeeeegddeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeaaeeeeeeeeaaeeeeeddeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeabeeeeeeeebaeeeeadbeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeec fgeeeeeeeeeeeeeebaeeeeeeeeeeaaeeeddeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeebabeec fgeeeeeeeeeeeeeeaaeeeeeeeeeeaaeeddgeeeeeeeeeeeeeebdgeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeec fgeeeeeeeeeeeeeeabeeeeeeeeeeeaabdaeeeeeeeeeeeeeeegdbeeeeeeeeeeeeeeeeeeeeeeeeebadgeec fgeeeeeeeeeeeeebaeeeeeeeeeeeeaaddeeeeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeeeeeeaadeeec fgeeeeeeeeeeeeeaaeeeeeeeeeeeeeaabeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeaadaeeec fgeeeeeeeeeeeeeabeeeeeeeeeeeegaaeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeegaadeeeec fgeeeeeeeeeeeebaeeeeeeeeeeeeeddabeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeaaddeeeec fgeeeeeeeeeeeeaaeeeeeeeeeeeebdbaaeeeeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeebabdbeeeec fgeeeeeeeeeeeeaaeeeeeeeeeeeeddegabeeeeeeeeeeeeeeeebdgeeeeeeeeeeeeeeeeeeeeeaaddeeeeec fgeeeeeeeeeeebageeeeeeeeeeeddgeeaaeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeebagdaeeeeec fgeeeeeeeeeeeaaeeeeeeeeeeegdaeeebageeeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeaaadgeeeeec fgeeeeeeeeeeeaaeeeeeeeeeeeddeeeeeaaeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeaaeddeeeeeec fgeeeeeeeeeebageeeeeeeeeeadbeeeeeaaeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeegaagdaeeeeeec fgeeeeeeeeeeaaeeeeeeeeeeeddeeeeeeeabeeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeaaeddeeeeeeec fgeeeeeeeeeeaaeeeeeeeeeeddeeeeeeeeaaeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeebabeddeeeeeeec fgeeeeeeeeegageeeeeeeeebdaeeeeeeeebageeeeeeeeeeeeeegdgeeeeeeeeeeeeeeeeaaebdbeeeeeeec fgeeeeeeeeeaaeeeeeeeeeeddeeeeeeeeeeaaeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeebageddeeeeeeeec fgeeeeeeeeeaaeeeeeeeeeddgeeeeeeeeeeaaeeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeaaeedaeeeeeeeec fgeeeeeeeegageeeeeeeegddeeeeeeeeeeeeabeeeeeeeeeeeeeeddeeeeeeeeeeeeeeaaeeadgeeeeeeeec fgeeeeeeeeaaeeeeeeeeeddeeeeeeeeeeeeeaaeeeeeeeeeeeeeeddeeeeeeeeeeeeegaaeeddeeeeeeeeec fgeeeeeeeeaaeeeeeeeeadbeeeeeeeeeeeeebageeeeeeeeeeeeeadeeeeeeeeeeeeeaaeegdaeeeeeeeeec fgeeeeeeegabeeeeeeeeddeeeeeeeeeeeeeeeaaeeeeeeeeeeeeebdeeeeeeeeeeeegabeeddeeeeeeeeeec fgeeeeeeeaaeeeeeeeeddeeeeeeeeeeeeeeeebaeeeeeeeeeeeeegdbeeeeeeeeeeeaaeeeddeeeeeeeeeec fgeeeeeeeaaeeeeeeebdaeeeeeeeeeeeeeeeeeabeeeeeeeeeeeeedaeeeeeeeeeebageebdbeeeeeeeeeec fgeeeeeegabeeeeeeeddeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeddeeeeeeeeeeaaeeeddeeeeeeeeeeec fgeeeeeeaaeeeeeeeadgeeeeeeeeeeeeeeeeeegageeeeeeeeeeeeddeeeeeeeeeaaeeeedaeeeeeeeeeeec fgeeeeeeaaeeeeeegddeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeddeeeeeeeegaaeeeadgeeeeeeeeeeec fgeeeeeeabeeeeeeddeeeeeeeeeeeeeeeeeeeeebaeeeeeeeeeeeeadeeeeeeeeaaeeeeddeeeeeeeeeeeec fgeeeeebaeeeeeeadbeeeeeeeeeeeeeeeeeeeeeeabeeeeeeeeeeebdeeeeeeegabeeegdaeeeeeeeeeeeec fgeeeeeaaeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeegdbeeeeeeaaeeeeddeeeeeeeeeeeeec fgeeeeeabeeeeeddgeeeeeeeeeeeeeeeeeeeeeeegabeeeeeeeeeeedaeeeeebageeeeddeeeeeeeeeeeeec fgeeeebaeeeeebdaeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeddeeeeeaaeeeebdbeeeeeeeeeeeeec fgeeeeaaeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeebaeeeeeeeeeeeddeeeeaaeeeeeddeeeeeeeeeeeeeec fgeeeeabeeeeadbeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeddeeeeaaeeeeedaeeeeeeeeeeeeeec fgeeebaeeeegddeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeadeeeaaeeeeeadgeeeeeeeeeeeeeec fgeeeaaeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeegabeeeeeeeeebdgegabeeeeeddeeeeeeeeeeeeeeec fgeeeabeeebdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeedbeaaeeeeegdaeeeeeeeeeeeeeeec fgeebaeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebaeeeeeeeeeedabageeeeeddeeeeeeeeeeeeeeeec fgeeaaeeeddgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeddaaeeeeeeddeeeeeeeeeeeeeeeec fgeeabeegdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeedaageeeeebdbeeeeeeeeeeeeeeeec fgebaeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegabeeeeeeeeaaaeeeeeeddeeeeeeeeeeeeeeeeec fgeaaeeadbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeaaeeeeeeedaeeeeeeeeeeeeeeeeec fgeaaeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebageeeeeegaageeeeeadgeeeeeeeeeeeeeeeeec fgbageddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeaadbeeeeeddeeeeeeeeeeeeeeeeeec fgaaebdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeebagdaeeeegdbeeeeeeeeeeeeeeeeeec fgaaeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegabeeeeaaeddeeeeddeeeeeeeeeeeeeeeeeeec fbagddgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeaageddeeeeddeeeeeeeeeeeeeeeeeeec faagddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebageeaaeeadeeebdbeeeeeeeeeeeeeeeeeeec faaddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeaaeeebdeeeddeeeeeeeeeeeeeeeeeeeec eaadbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaagabeeegdbeedaeeeeeeeeeeeeeeeeeeeec aaddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaaaeeeeedaeadeeeeeeeeeeeeeeeeeeeeec aadgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaabeeeeeddeddeeeeeeeeeeeeeeeeeeeeec fadaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeeeeeeddgdbeeeeeeeeeeeeeeeeeeeeec ddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddddeeeeeeeeeeeeeeeeeeeeeec fdbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeeeeeeeeeeeeeeeeeeec fgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebddbeeeeeeeeeeeeeeeeeeeeeec fcccccccccccccccccccccccccccccccccccccccccccccccccccccccccddcccccccccccccccccccccccg da f ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#914759ff b,#c4a1aeff c,#99617aff d,#822d42ff e,#dac4ccff f,#efe6e9ff g,#af8092ff ``` ```image gcg gcg dde cdg ccf gcg fada bdd cc ecc gdde edd ecc cce ddf dd gcg ccg bdd dd eccf ccg cdde dd gcg bcc ddg dd ccf ccf gdd dde cc ccb eddc ddb ecc fccb ddb gdc bcg bcc fdd gda ccb fcc gdd bdd bcc cce addf fdde ccb gcc ddb adb fe cc gcg cdd gdc ecce cc ecc bddg bda ccc bcc cce dde fdd fccdb gcb gcg edd dd bccdf bcc cccddb dd gccde gcb eccda dd ccad cc ccc ddf bccdd cc fccc dde fcccdc ecc eddccb adb cccdd gcg addbccf cdg ccadg eccf fdd bcc bdd gcgdd gcg cdd fcc eddf bccedd ccf adaf cce ddb ccfadc cc ddb gcg adg fccfddb ecc cdd fccb gda eccbadg gcg bddg bcc bdd gcg dde eccf dde cc fdde ccc fdd bcg edd ccf ddb ccc bdd ccf bddb bcc ddc gccffddb cc ddc fcce dda eccb gdd cc ddf gcg ddd gcc adg bcc fada cc ddd fcc dd ccb gdde cc add bcc fdd bcc ddf gcg gdd gccf adc ccb bdd eccf bdd ccb fddb bcc cdde bcc fdde ecc adg gcc ddg fcc ddb fccg edde ccc gdd ccf cdg ccb ddd ccb eddc ccb gda ccf ddd bcc ddb fcce eddf gcc fddb gcg fdd gcg fdde ecce gdd ecc eddg cc adg ccf edde gcg adaf ccf cdc fcc cda ccf fdd gcg bdd eccb ddf cc cdd ecce edd gcc dd ecc ada bcc dd fcc gdd gcg dde fcc dd bcc adg eccf add cce dd gccf cda gcg bddb gcg dd ccb ddb ccf dde fccb dde ecc dd cc edd bcc adb ccg fdd ecc gdde cc gdc ccg adg bcg ddc ccf bda ccf edde ccb ddf ccb eddf ecc cda bcc fdda fcce ddb ecce ddf ccb cdde gcg adb ccg dd cc ddf cc gda fcc gdd cc gdd cc bdd gcc adg bcc cddf gcg fdd gcc cda gcb bddb eccf dd cce ddb bcc ddd bcc dd bcc dd gcb eddg fcc ddfccg edd cc bddb ccf ddccb adg cc ddc ccb ddccf edde ecc bdd fcce cccg ddb gcg fada gcg ccce ddf eccf ddc cc ccd edd gcg ddf ccf fccdf gdd ccf fdda gcg eccadb edde cc cdde ecce ccgcdg cda ecc ddf bcc fcc bda ddf gcg gdd fcc bcc edd dd eccfaddf cce gccf dd gdd bcg ddb gcg ecce dd adg ccfcdd fccb ccc dd cda cceddg bcc fccg dd ddb ccadaf ecc bccf ddf ddf bccdd ccgccf ddb edd cccdd ccccb adg gdd ccda fccc gda edde cade gcg bdd cda add fddeddf ddb ddbdd de gdddd f bdddg edda ``` <!-- end of image --> The lines cross each other within area A, forming 2 intersections. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#944d5fff b,#c29facff c,#996079ff d,#822e43ff e,#dac3cbff f,#eee4e8ff g,#ae7d8fff ``` ```image eg dd add edadf dd db cde dc dd dd ee dd dd cc bdb cd fccb dd bd gccc adf fdf ccfce fda db fce cc dd dc gc ece gde dd cc cc dd dd ce ecf dd cd bc cc edg bd cc bcf dd fde cb cc adf dg bc bcf fda da cc cc dd dd cb gc bdb dd g bc cg dd gd ece cc gc dd ed ccg cb cgedc de bcdf bc ccdd dg ccd cc cae dd gcdb cb fcc dd fccd ec ddcb ad ccdd cc bdbcc gd ecbde cg dd fcb edf ccdd ecf adf cc db bcfdc cc fdc ecf dc ccgd cg dd cc dd gc dd ecf gde gc dd fcgfdb cc dd cb cd cc ad cg dd cc bd ecb dd ecf bdg ecf fdf cc ede cc dd cc db bcf dd cc adf gc dc cc dc fce fda cb dd gc gd gc dd cc dd fcg dd cc gde ecf cd cc fdb fce dd cc bd ecb ad gc dd gc fde cc dd cc edg cb dg bcf ede fce dd cc da cc dd gc cdf ece dd gc dc cc fda cc dd fcg gd ce dd bc gd cc dd bc bdb cg ed ecb fdb cc dd cc de cc ad cb adf fce dg bce dd bc edc cc da cc ede cc dd bc dd gc dd cb cde cg ad cg dc bc dd cc gd cc gd cc dd fce edf ecb dd cb bdb cc db cc fdb bc dd bc dcbce ad cc adf cg ddcc dd cb fda cc dccf ede ec dd fce acg dd cc gde cc cc dc cg dd bcf fcaf gd ecf dd cg ccdb dd cc edg gc bcedc fdb cg dd fcb cc dd ad ecfadf cc gcf dd dd ccfda bcf cg cd ede cgdd cc cc bd dd ecgdb gcfcb fde dc ccdd fccc dg gd ccd cce da dd cdg fg ddfdb dd ddad de gddd edde dd dc f ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#36ac98ff b,#a167beff c,#d1b4dfff d,#67b4a7ff e,#eff5f0ff f,#94c89bff g,#b0d7b1ff ``` ```image bbc bbbc bbb cbbb cbbb bbbc bbbc bbb cbbb bbbb bbbc bbbe bbb cbbb bbbb bbbc bbbe ebbb cbbb bbbb bbbc bbbe eeeeeeeeeeeeeeeebbbeeeee efggggggggggggggbbbbggggf egggggggggggggggbbbbggggf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee egggggggggggggggbbbfggggf gggggggggggggggggggggggggggggggggggggggf egggggggggggggggbbbgggggf gggggggggggggggggggggggggggggggggggggggf egggggggggggggggbbbgggggf gggggggggggggggggggggggggggggggggggggggf eggggggggggggggbbbbgggggf gggggggggggggggggggggggggggggggggggggggf eggggggggggggggbbbbgggggf gggggggggggggggggggggggggggggggggggggggf eggggggggggggggbbbgfadggf gggggggggggggggggggggggggggggggggggggggf eggggggggggggggbbbgaaaggf gggggggggggggggggggggggggggggggggggggggf eggggggggggggggbbbfaaafgf gggggggggggggggggggggggggggggggggggggggf egggggggggggggbbbbaaaafgf gggggggggggggggggggggggggggggggggggggggf egggggggggggggbbbbaaaafgf gggbgggggggggggggggggggggggggggggggggggf egggggggggggggbbbaaaaafgf ggbbbbgggggggggggggggggggggggggggggggggf egggggggggggggbbbaaaaafgf ggaaadbbgggggggggggggggggggggggggggggggf egggggggggggggbbaaaaaafgf ggaaaaaaadgggggggggggggggggggggggggggggf eggggggggggggbbbaaaaaafgf ggaaaaaaaaaadggggggggggggggggggggggggggf eggggggggggggbbdaaaaaafgf ggggdaaaaaaaaaaafggggggggggggggggggggggf eggggggggggggbbaaaaaaaadf gggggggdaaaaaaaaaaadgggggggggggggggggggf eggggggggggggbbaaagaaaaaf ggggggggggbaaaaaaaaaaaafgggggggggggggggf egggggggggggfbaaaagaaaaaf ggggggggggggbbdaaaaaaaaaaadggggggggggggf egggggggggggbbaaafgaaaaaf ggggggggggggggbbbbaaaaaaaaaaaafggggggggf egggggggggggbaaaaggaaaaaf ggggggggggggggggbbbbbdaaaaaaaaaaadgggggf egggggggggggbaaadggaaaaaf ggggggggggggggggggbbbbbbbaaaaaaaaaaadfgf egggggggggggdaaagggaaaaaf ggggggggggggggggggggbbbbbbbfdaaaaaaaaaaag eggggggggggbaaaagggaaaaaf ggggggggggggggggggggggbbbbbbbggfaaaaaaaaaaade eggggggggggbaaaggggaaaaaf ggggggggggggggggggggggggbbbbbbbggggdaaaaaaaaaaag eggggggggggaaaaggggaaaaaf ggggggggggggggggggggggggggbbbbbbbgggggfaaaaaaaaaaade eggggggggggaaafggggaaaaaf ggggggggggggggggggggggggggggbbbbbbbggggf edaaaaaaaaaaag egggggggggaaaagggggaaaaaf ggggggggggggggggggggggggggggggbbbbbbbggf gaaaaaaaaaaade egggggggggaaadgggggaaaaaf ggggggggggggggggggggggggggggggggbbbbbbgf edaaaaaaaaaaafgggggggdaaabgggggaaaaaf ggggggggggggggggggggggggggggggggggbbbbgf gaaaaaaaaaaadggggaaaafgggggaaaaaf gggggggggggggggggggggggggggggggggggbbbbf edaaaaaaaaaaadaaabggggggaaaaaf ggggggggggggggggggggggggggggggggggggbbbb gaaaaaaaaaaaabggggggaaaadf ggggggggggggggggggggggggggggggggggggbbbbc egfaaaaaaaabbggggggaaaadf gggggggggggggggggggggggggggggggggggggbbbb egggggdaaaabbggggggaaaadf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbb eggggggggbbbgggggggaaaadf cbbbc eggggggggbbbgggggggaaaaff bbbbe eggggggggbbbgggggggaaaaff bbbb egggggggbbbbgggggggaaaaff cbbbb egggggggbbbbgggggggaaaagf bbbbe egggggggbbbggggggggaaaagf bbbb egggggggbbbggggggggaaaagf ebbbb egggggggbbbggggggggaaaagf bbbbc effffffbbbbffffffffaaaafg bbbbe bbbc aaaa ebbbbb bbbe aaaa cbbbbbb bbb aaaa cbbbbbbc cbbb aaaa cbbbbbbc bbbb aaaa bbbbbbbe bbbc aaaa bbbbbbb bbbe aaaa ebbbbbbb ebbb aaaa cbbbbbbc cbbb gaad cbbbbbbcbbbb dd bbbbbbbbbc bbbbbbb ebbbbb cbbb ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#37ac98ff b,#a066beff c,#e2dcedff d,#75c4b7ff e,#6a89aaff f,#c09ad3ff g,#aeddd5ff ``` ```image cc cbbfc fbbbbf cbbbbbbbf feaaeebbbbf cbaaaaaaeebbbf cbaaaaaaaaaaebbf gaaaaaaaaaaaaaeef daaaaaaaaaaaaaaaaadc aaaaaaaaaaaaaaaaaaaaadg gdaaaaaaaaaaaaaaaaaaaaaadgc cgdaaaaaaaaaaaaaaaaaaaaaadg gdaaaaaaaaaaaaaaaaaaaaaadgc cgdaaaaaaaaaaaaaaaaaaaaaadg gdaaaaaaaaaaaaaaaaaaaaaadgc cfeaaaaaaaaaaaaaaaaaaaaaaadg cfbeeaaaaaaaaaaaaaaaaaaaaaadgc cfbbbeaaaaaaaaaaaaaaaaaaaaaaddc cfbbbbeeaaaaaaaaaaaaaaaaaaaaaadgc cfbbbbbbeaaaaaaaaaaaaaaaaaaaaaadgc cfbbbbbbbeeaaaaaaaaaaaaaaaaaaaaaadg cfbbbbbbbbbeaaaaaaaaaaaaaaaaaaaaaadgc cbbbbbbbbbbbeeaaaaaaaaaaaaaaaaaaaaaadg cbbbbbbbbbbbbeeaaaaaaaaaaaaaaaaaaaaaadgc cbbbbbbbbbbbbbbddaaaaaaaaaaaaaaaaaaaaaadg cbbbbbbbbbbbbbbcgdaaaaaaaaaaaaaaaaaaaaa fbbbbbbbbbbbbbbc cgdaaaaaaaaaaaaaaaaa fbbbbbbbbbbbbbbc gdaaaaaaaaaaaaaa fbbbbbbbbbbbbbfc cgdaaaaaaaaaa fbbbbbbbbbbbbbfc gdaaaaaaa fbbbbbbbbbbbbbfc cgdaaa cfbbbbbbbbbbbbbfc gd cfbbbbbbbbbbbbbfc cfbbbbbbbbbbbbbfc cfbbbbbbbbbbbbbf cfbbbbbbbbbbbbbc cfbbbbbbbbbbbbc cfbbbbbbbbbbb cbbbbbbbbbbf cbbbbbbbbbc cbbbbbbbb fbbbbbbbf fbbbbbbb cbbbbbbb cbbbbbb fbbbbb bbbbb cbbbb ``` <!-- end of image --> Success! This area contains 1 intersection point! Let's move forward and inspect another region. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#36ad98ff b,#a166beff c,#c6a4d7ff d,#7ac7baff e,#e2e5eeff f,#6d8aabff g,#bde3dcff ``` ```image ebbbbbbc cbbbbbbe cbbbbbb bbbbbbb ebbbbbbc cbbbbbbc cbbbbbbe bbbbbbb bbbbbbb ebbbbbbc cbbbbbbc cbbbbbbe bbbbbbb bbbbbbc ebbbbbbc ee cbbbbbbe gaaad cbbbbbbeeaaaaad bbbbbbb daaaaaa bbbbbbc aaaaaaae ebbbbbbcgaaaaaaae cbbbbbbeaaaaaaaae cbbbbbbgaaaaaaaae bbbbbbbdaaaaaaaae ebbbbbbcaaaaaaaaag ebbbbbbdaaaaaaaaag cbbbbbbaaaaaaaaaag cbbbbbfaaaaaaaaaag bbbbbbaaaaaaaaaaag ebbbbbfaaaaaaaaaaag ebbbbbaaaaaaaaaaaag cbbbbbaaaaaaaaaaaag bbbbbfaaaaaaaaaaaag bbbbbaaaaaaaaaaaaag ebbbbfaaaaaaaaaaaaag cbbbbaaaaaaadaaaaaag cbbbfaaaaaaagaaaaaaadd bbbbaaaaaaadgaaaaaaaaa bbbbaaaaaaaegaaaaaaaaa ebbbfaaaaaad gaaaaaaaaa cbbbaaaaaaae gaaaaaaaaa cbbfaaaaaad gaaaaaaaaa bbbaaaaaaag gaaaaaaaaa bbfaaaaaaa gaaaaaaaaa ebbaaaaaaag gaaaaaaaaa cbfaaaaaaa gaaaaaaaaa cbfaaaaaad gaaaaaaaaa bbaaaaaaae gaaaaaaaaa ebfaaaaaad gaaaaaaaaa ebaaaaaaag gaaaaaaaaa cfaaaaaaa gaaaaaaaaa caaaaaaag eaaaaaaaaa faaaaaaa eaaaaaaaaa eaaaaaaad eaaaaaaaaa caaaaaaae eaaaaaaaaa faaaaaad eaaaaaaaaa eaaaaaaag eaaaaaaaaa daaaaaaa eaaaaaaaaa aaaaaaaf eaaaaaaaaa gaaaaaaac eaaaaaaaaa daaaaaafe eaaaaaaaaa eaaaaaaab eaaaaaaaaa dg daaaaaafb eaaaaaaaaa aaadge eaaaaaaabc eaaaaaaaaa aaaaaaadg daaaaaaabc eaaaaaaaaa aaaaaaaaaadge aaaaaaafbe eaaaaaaaaa aaaaaaaaaaaaaaddaaaaaaabb eaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaafbb eaaaaaaaad aaaaaaaaaaaaaaaaaaaaaabbc aaaaaaaad gdaaaaaaaaaaaaaaaaaaafbbe aaaaaaaad eddaaaaaaaaaaaaaaabbbe aaaaaaaad egdaaaaaaaaaaafbbb aaaaaaaad gddaaaaaaabbbc aaaaaaaad egdaaafbbbc aaaaaaaad cbbbbbbe aaaaaaaag cbbbbbbe aaaaaaaag bbbbbbb aaaaaaaag ebbbbbbc aaaaaaaag ebbbbbbc aaaaaaaag cbbbbbbe aaaaaaaag cbbbbbb aaaaaaaae bbbbbbb aaaaaaaae ebbbbbbc aaaaaaaae ebbbbbbc aaaaaaaa cbbbbbbe aaaaaaaa cbbbbbb aaaaaaaa bbbbbbb aaaaaaaa ebbbbbbc aaaaaaaa cbbbbbbc aaaaaaaa ``` <!-- end of image --> 1 intersection present within area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#37ac98ff b,#a066bdff c,#d5bbe1ff d,#77c7b9ff e,#e9e8f1ff f,#b589ccff g,#b7e1daff ``` ```image bfc bbbc bbb ebbb fbbb bbbf bbbc bbb cbbb fbbb bbbf bbbe bbb cbbb fbbb bbbc bbbe ebbb cbbb bbbb bbbc bbbe ebbb cbbb bbbf bbbc bbb ebbb fbbb bbbf bbbcgad bbb aaa cbbbgaaae fbbbaaaae bbbfaaaag ebe bbbaaaaag bbbbe bbbaaaaag eaaaabb cbbaaaaaag aaaaaaab fbbaaaaaag eaaaaaaaaaade bbaaaaaaag edaaaaaaaaaaag bbaaaaaaaade gaaaaaaaaaaad bbaaaeaaaaae faaaaaaaaaaaag cbaaaa aaaaa fbbaaaaaaaaaaad fbaaag aaaaa fbbbaaaaaaaaaaadg baaaa aaaaa fbbbbaaaaaaaaaaaag baaad aaaaa fbbbbbbaaaaaaaaaaade eaaaa aaaaa bbbbbbbcdaaaaaaaaaaag caaaa aaaaa bbbbbbbc gaaaaaaaaaaade baaa aaaaa ebbbbbbbe daaaaaaaaaaag aaaa aaaaa ebbbbbbbe gaaaaaaaaaaade eaaag aaaaa ebbbbbbbe edaaaaaaaaaaag aaaa aaaaa ebbbbbbb gaaaaaaaaaaade aaaa aaaaa ebbbbbf edaaaaaaaaaaag daaaf aaaaa cbbbbe gaaaaaaaaaaad aaaac aaaaa bbbb edaaaaaaaaaaadaaab aaaaa ebbbb gaaaaaaaaaaaab aaaad fbbbc edaaaaaaabb aaaad bbbb daaaabf aaaad bbbb bbbc aaaag cbbbf bbb aaaag bbbbe cbbb aaaag bbbb fbbb aaaae cbbbf bbbf aaaae bbbbe bbbe aaaa bbbb bbb aaaa ebbbb cbbb aaaa fbbbc fbbb aaaa bbbbe bbbf aaaa bbbbb bbbe aaaa cbbbbbf bbb aaaa cbbbbbbc cbbb aaaa cbbbbbbc bbbb aaaa fbbbbbbe bbbc aaaa bbbbbbb bbbe aaaa ebbbbbbf ebbb aaaa cbbbbbbc cbbb daad cbbbbbbcbbbb da fbbbbbbbbc bbbbbbb ebbbbb ebbf ``` <!-- end of image -->
[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3893bff b,#dcc9abff c,#a05405ff d,#b3a76eff e,#b1d7b1ff f,#a5cea1ff g,#f0f4edff ``` ```image d ac ac cg cc da cc c cc cg ca da ca c ca ggggcgggggggggggggggggggggggggggggggggggg cd gffffaafffffffffffffffffffffffffffffffffffg gcd gfeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcb gfeeeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcb gfeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bcb gfeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bcg gfeeeeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bcg gfeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg dcg gfeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg dc gfeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg ac gfeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg ac d gfeafeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg ac da gfefafeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg cc da gfeefafeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg cc ba gfeeefaeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg cc ba gfeeeedaeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg ca gag gfeeeeedaeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg ca gag gfeeeeeedafceeeeeeeeeeeeeeeeeeeeeeeeeeeeefg cd gag gfeeeeeeeaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeefg cd ab gfeeeeeeeeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcb ab gfeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcb ad gfeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcb ad gfeeeeeeeeeeaadeeeeeeeeeeeeeeeeeeeeeeeeeefg bcg ad gfeeeeeeeeeefcadeeeeeeeeeeeeeeeeeeeeeeeeefg dcg aa gfeeeeeeeeeeeceafeeeeeeeeeeeeeeeeeeeeeeeefg accg da gfeeeeeeeeeeeaafafeeeeeeeeeeeeeeeeeeeeeeefgbcca da gfeeeeeeeeeeefcefafeeeeeeeeeeeeeeeeeeeeeeaccb da gfeeeeeeeeeeeeceefaeeeeeeeeeeeeeeeeeeeecccg ba gfeeeeeeeeeeeecaeedaeeeeeeeeeeeeeeeedccaefg ba gfeeeeeeeeeeeefceeedaeeeeeeeeeeeeeaccdeeefg gag gfeeeeeeeeeeeeeceeeedaeeeeeeeeeecccfeeeeefg gag gfeeeeeeeeeeeeecaeeeeaaeeeeeeeedceeeeeeeefg gab gfeeeeeeeeeeeeefceeeeeaaeeeeeeeaaeeeeeeeefg ab gfeeeeeeeeeeeeeeceeeeeeaaeeeeeecfeeeeeeeefg ab gfeeeeeeeeeeeeeecaeeeeeeadeeeeeceeeeeeeeefg ad gfeeeeeeeeeeeeeefceeeeeeeadeeefceeeeeeeeefg ad gfeeeeeeeeeeeeeeeceeeeeeeeadeeaaeeeeeeeeefg aa gfeeeeeeeeeeeeeeecaeeeeeeeeafecdeeeeeeeeefg aa gfeeeeeeeeeeeeeeefceeeeeeeefafceeeeeeeeeefg da gfeeeeeeeeeeeeeeeeceeeeeeeeefaceeeeeeeeeefg da gfeeeeeeeeeeeeeeeecaeeeeeeeeedaeeeeeeeeeefg ba gfeeeeeeeeeeeeeeeefceeeeeeeeefcaeeeeeeeeefg ba gfeeeeeeeeeeeeeeeeeceeeeeeeeefcdaeeeeeeeefg gag gfeeeeeeeeeeeeeeeeecaeeeeeeeedceaaeeeeeeefg gag gfeeeeeeeeeeeeeeeeefceeeeeeeedceeaaeeeeeefg gag gfeeeeeeeeeeeeeeeeeeceeeeeeeedaeeeaaeeeeefg ab gfeeeeeeeeeeeeeeeeeecdeeeeeeeaaeeeeadeeeefg ab gfeeeeeeeeeeeeeeeeeedceeeeeeeaaeeeeeadeeefg ad gfeeeeeeeeeeeeeeeeeeeceeeeeeeadeeeeeeadeefg ad gfeeeeeeeeeeeeeeeeeeecdeeeeeecdeeeeeeeafefg ad gfeeeeeeeeeeeeeeeeeeedceeeeeecdeeeeeeefaffg aa gfeeeeeeeeeeeeeeeeeeeeceeeeeecfeeeeeeeefafg da gfeeeeeeeeeeeeeeeeeeeecdeeeeecfeeeeeeeeefagda gfeeeeeeeeeeeeeeeeeeeedceeeeeceeeeeeeeeeedaa gfeeeeeeeeeeeeeeeeeeeeeceeeeeceeeeeeeeeeefb gfeeeeeeeeeeeeeeeeeeeeecdeeeeceeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeedceeeeceeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeceeeeceeeeeeeeeeefg gfffffffffffffffffffffffcafffcffffffffffffg bc c c c cb gc bc gc c bc cbbc bcda cda ccd bcd cb cb ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad6d29ff b,#c9ab7dff c,#a05202ff d,#b89457ff e,#dbc8aaff f,#a08e38ff g,#ede4d5ff ``` ```image eccg cce dcd ecc cce dcd ecc cce dcd ecc cce dcd ecc cce dcd ecc cce dcd ecc dcd be ecc effe cce dffg dcd dffg ecc gdffg cce gffdg dcd gffd ecc gffd cc effb dc effb ec effb gce bffe dd bffe ec bffegce dffgcd dffcc dfcce gffcd gffc fffe gfff bffb gaffb aaffb bcaffe gccdffe acdbffe bcc dffg gcce dffg acd gdffg bcc gffdg gcce gffd gb acd gffd gdcc bcc effb eacccc gcce effb gbccccae acd effb edccccdg gcce bffe gbccccae acd bffe edccccdg bca dffg eacccabg gccg dffg cccae acb dffg ccg bca gfffg ca gccg gffd cd acb gffd ce bca gffd gcg gccg effb ba acb effb dd bca effb ab gccg bffe gcg acb bffe ec bca bffe dc gccg dffg ac acb dffg cc bca gdffg ecc gccg gffdgbca acb gffdacb bca gfffce gccg gffae acb effd bca aff gccg gcafb acb gccbfe bca gccgffe gccg gcc dffe acb ecc dffg bca ecc dffg gccg eca gdffg acb bca gffdg bca bca gffd gccg bcd gffd acb dcd effb bca dcd effb gccg dcd effb bca acb bffe gccg acb bffe acb ace dffg dca cce dffg eccg cce dffg acb ccg gfffg dca ccg gffd eccg gccg gffd ccb gccg gff dca gcc ef eccg ecc e ccb ecc dca eca eccg bca ccb bca dca bca eccg bcd ccb dcd dca dcd ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b37536ff b,#d0b68eff c,#a15304ff d,#bc9b61ff e,#e2d4bcff f,#a08e38ff g,#f2ede3ff ``` ```image d ac ac cg ac da cc c cc cg ca da ca c ca cg cd da cb c gcb cg gce da ece c ecg cg bcg da bcg gc dc cg dc ad ac d fe gc ac df gfg c cc bf gfg ad cc bf ef gc ca ef ef c ca ef bf ad ca gfg dfgc cd gfg dfc cd fe ffd gcb fb ff gcb fb fd gce fd afb ece fd gcfe bcg ff cgfe accg df adgfg ecca df gc gfg bccb bf c ef accg ef ad bf eccd ef gc bf dccb gfg c df accg gfg ad df ec fe gc fd ad fe c fd cg fb ad fb c fd gc fb gc fd c fe da ff ad gfg ce df ec gfgc df c efc bf ab ef bf ec gaf ef c ecdf ef ab ec df gfg ec ba ff gfg c ba fd fe cb dd fd fb ec dd fb fb c ab fe fd cb ab fe fd ec ce gfg ff c ce gfg df cb cg ef df ec c eff c c e cb c ec c c c cb c ec c c c cb gc ec gc c ec cbbc ecba cda ccd bcb cb ce ``` <!-- end of image -->
[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#b9a1d3ff b,#acd0b3ff c,#d5dadeff d,#b5b8c4ff e,#a6d1a6ff f,#eff4f0ff g,#b2d7b2ff ``` ```image faa faa faa faa faa faa a faa aaa faa aaa faa aaa aa aaa aa aaaf aa aaaf aa aaaf aa aaaf aa aaaf aa aaaf aa aaaf aa aaac aa aaac aa caac aa caac aa caac aa caac aa caac aa caaa aa caaa f fffaafffffffffffffffffffffffffffffffffffffff faaa fbb eeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef faaa bbc gggaaggggggggggggggggggggggggggggggggggggggef faaa cbb gggaaggggggggggggggggggggggggggggggggggggggef faaa bbf gggaaggggggggggggggggggggggggggggggggggggggef faaa gbb gggaaggggggggggggggggggggggggggggggggggggggef faaa bbf gggaaggggggggggggggggggggggggggggggggggggggef faaa bbg gggaaggggggggggggggggggggggggggggggggggggggef aaa fbb gggaabgggggggggggggggggggggggggggggggggggggef aaa bbc gggaabgggggggggggggggggggggggggggggggggggggef aaa cbb gggaabgggggggggggggggggggggggggggggggggggggef aaa bbc gggaabgggggggggggggggggggggggggggggggggggggef aaa gbb gggaabgggggggggggggggggggggggggggggggggggggef aaa bbf gggaabgggggggggggggggggggggggggggggggggggggef aaa bbb gggbbbgggggggggggggggggggggggggggggggggggggef aaa fbb ggbbbbbggggggggggggggggggggggggggggggggggggef aaa bbg gggabbbbgggggggggggggggggggggggggggggggggggef aaa cbb gggaabbbbbgggggggggggggggggggggggggggggggggefaaa bbc gggaadgbbbbbgggggggggggggggggggggggggggggggeaaa gbb gggaadgggbbbbggggggggggggggggggggggggggggggaaa bbf gggaadgggggbbbbgggggggggggggggggggggggggggaaaf bbb gggaadggggggbbbbbggggggggggggggggggggggggaaaf fbb gggaadggggggggbbbbggggggggggggggggggggggaaabf bbg gggaadggggggggggbbbbgggggggggggggggggggaaabef cbb gggaadgggggggggggbbbbbggggggggggggggggaaabgef bbc gggaadgggggggggggggbbbbggggggggggggggaaabggef cbb gggaadgggggggggggggggbbbbgggggggggggaaadgggef bbf gggaadggggggggggggggggbbbbbggggggggdaadggggef gbb gggdadggggggggggggggggggbbbbggggggdaadgggggef fbb gggdadggggggggggggggggggggbbbbgggdaadggggggef bbg gggdadgggggggggggggggggggggbbbbbaaadgggggggef fbb gggdaagggggggggggggggggggggggbbbbddggggggggef bbc gggdaagggggggggggggggggggggggbabbbbggggggggef cbb gggdaaggggggggggggggggggggggdaaabbbbbggggggef bbf gggdaagggggggggggggggggggggaaaagggbbbbgggggef gbb gggdaaggggggggggggggggggggaaadggggggbbbbgggef bbf gggdaaggggggggggggggggggbaaabggggggggbbbbbgef bbg gggdaagggggggggggggggggdaaaggggggggggggbbbbef fbb gggdaaggggggggggggggggaaadgggggggggggggggbbbbf bbc gggdaaggggggggggggggbaaadgggggggggggggggggbbbbg cbb gggdaagggggggggggggdaaaggggggggggggggggggggegbbbc bbc gggdaaggggggggggggaaaagggggggggggggggggggggeffbbbbf gbb gggdaagggggggggggaaadggggggggggggggggggggggef cbbbg bbf gggbaagggggggggbaaabgggggggggggggggggggggggef gbbbc bbb gggbaaggggggggdaaagggggggggggggggggggggggggef fbbbbffbb gggbaagggggggaaaaggggggggggggggggggggggggggef cbbbbbg eeebaaeeeeeeaaadeeeeeeeeeeeeeeeeeeeeeeeeeeeef gbbb ffffaaffffcaaaffffffffffffffffffffffffffffff fbf faa caaa faa aaaa aa aaac aaaaaf aaaa aaa cf ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#b9a0d4ff b,#acd1b3ff c,#d9e9dcff d,#ded2eaff e,#cab8deff f,#efeef3ff g,#c3ddc8ff ``` ```image daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa daaaa faaaaf faaaaf faaaaf faaaaf faaaaf faaaaf faaaaf faaaaf faaaaf faaaaf cbbaaf bbbbaf gbbbbbbf gbbbbbbbg cbbbbbbbbc fabbbbbbbbgf aaabbbbbbbbgf aaaacbbbbbbbbc aaaad cbbbbbbbgf aaaad fgbbbbbbbgf aaaad fbbbbbbbbc aaaad cbbbbbbbbf f aaaad fgbbbbbbbgf fa aaaad fbbbbbbbbc faa aaaad cbbbbbbbbf faaa aaaad fgbbbbbbbgf faaaa aaaad fbbbbbbbbc faaaaa aaaad cbbbbbbbbf faaaaaa aaaad fgbbbbbbbgf faaaaaaf aaaad fgbbbbbbbc faaaaaaf aaaad cbbbbbbbbc faaaaaaf eaaad gbbbbbbbgf feaaaaaf eaaad fgbbbbbbbc eaaaaaf eaaad cbbbbbbbbc eaaaaaf eaaae gbbbbbbbgf eaaaaaf eaaae fgbbbbbbbc eaaaaad eaaae cbbbbbbbbc eaaaaad eaaae gbbbbbbbgf eaaaaad eaaae fgbbbbbbbc eaaaaad eaaae cbbbbbbbbc eaaaaad eaaae gbbbbbbbgf eaaaaad eaaae fgbbbbbbbc eaaaaad eaaae cbbbbbbbbc eaaaaad eaaae gbbbbbbbgceaaaaad eaaae fgbbbbbbbbaaaad eaaae cbbbbbbbbaad eaaae gbbbbbbbbf eaaae faabbbbbbbbg eaaae daaaaabbbbbbbbc daaae eaaaaaadcbbbbbbbgf daaae feaaaaaaf fgbbbbbbbg daaae faaaaaaef cbbbbbbbbc daaaa daaaaaae cbbbbbbbgf daaaa eaaaaaad fgbbbbbbbg daaaa feaaaaaaf cbbbbbbbbc daaaa faaaaaaef cbbbbbbbgf daaaa daaaaaae fgbbbbbbbg daaaa eaaaaaad cbbbbbbbb daaaa faaaaaaaf cbbbbbb daaaa daaaaaae fgbbbb daaaa daaaaaad cbbb daaaa eaaaaaad cb daaaa faaaaaaef f daaaa daaaaaae daaaa eaaaaaad daaaa feaaaaaaf daaaa faaaaaaef daaaa daaaaaae faaaaf eaaaaaad faaaaf feaaaaaaf faaaaf faaaaaaef faaaaf daaaaaad faaaaf eaaaaaad faaaaf faaaaaaaf faaaaf daaaaaae ``` <!-- end of image --> I've cracked the case! This area contains 2 intersections. Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b9a0d4ff b,#acd1b3ff c,#dae9ddff d,#ded3ebff e,#cbb9dfff f,#f0eff4ff g,#c2ddc7ff ``` ```image daa faa faa faa faa faa a faa aaa faa aaa faa aaa aa aaa aa aaaf aa aaaf aa aaaf aa aaaf aa aaaf aa eaaf aa eaaf aa eaad aa eaad aa eaad aa eaad aa eaad aa daae aa daae aa daae aa daae c aa daae cbb aa faae bbg aa faaa gbb aa faaa bbc aa faaa bbb aa faaa bbf aa faaa bbb aa aaa fbb aaf aaa bbg aaf aaa cbb aaf aaa bbc aaf aaa gbb aaf aaa bbf aaf aaa bbb fbbf aaa fbb gbbbg aaa bbg abbbbf aaa cbb aacbbbb aaa bbc aad gbbbg aaa gbb aad bbbbf aaaf bbf aad fbbbb aaaf bbb aad gbbbg aaaf fbb aad bbbbc aaaf bbg aad fbbbb aaaf cbb aad gbbbg aaaf bbc eae bbbbc eaaf gbb eae fbbbb eaad bbf eae gbbbg eaad bbb eae bbbbc eaad fbb eae fbbbb eaad bbb eae gbbbgaaad cbb eae bbbbad bbg eae fabbbb gbb eae eaaacbbbg bbc daa aaae bbbbc gbb daa aaad fbbbb bbf daa faaaf cbbbg bbb daa eaaa bbbbc fbb daa aaae fbbbbf bbg daa faaad cbbbg cbb daa daaa bbbbc bbc daa eaaa fbbbbf gbb daa aaae cbbbb bbf faa faaaf gbbbc bbb faa daaa fbbbbffbb faa aaaa cbbbbbg faa aaad gbbb faa faaaf fbc faa eaaa faa aaae faa aaad aaaaaf aaaa aae df ``` <!-- end of image -->
[ "" ]
Alright, let's get to work and investigate this image for intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#3a3d53ff b,#4f9823ff c,#b1d7b1ff d,#76b058ff e,#edf3ecff f,#6f7b7fff g,#96c592ff ``` ```image ce gbbc bbbg bbbbd ebbbbd bbbbbd cbbbbbb bbbbbbb ce dbbbcbbb bbb bbbgcbbb ebbbbg bbbb cbbb ebbbbbb ebbbc ebbb gbbbbbbb cgbbbbgggbbbgggggggggggggggggggggggggggggggggggggggggggdbbbbebbbg gdbbbccccbbbccccccccccccccccccccccccccccccccccccccccccbbbbbe gbbb gbbbbccccbbbcccccccccccccccccccccccccccccccccccccccccbbbbb ebbb bbbbcccccbbbcccccccccccccccccccccccccccccccccccccccgbbbbd bbbc bbbdcccccbbbcccccccccccccccccccccccccafcccccccccccgbbbbg dbbb bbbbccccccbbbccccccccccccccccccccccccaaafcccccccccdbbbbge ebbb ebbbgccccccbbbccccccccccccccccccccccccaaaaccccccccbbbbbcce bbbe bbbbcccccccbbbcccccccccccccccccccccccaaaaaaccccccbbbbbccce bbbd gbbbccccccccbbbcccccccccccccccccccccccaaaaaaaccccbbbbbcccce cbbb bbbbccccccccbbbccccccccccccccccccccccfaaafaaafcgbbbbdccccce bbbe dbbbgccccccccbbbccccccccccccccccccccccaaafcaaaadbbbbgcccccce bbbd ebbbggccccccccbbbcccccccccccccccccccccfaaacccaabbbbbgccccccce cbbb bbbb gccccccccbbbgccccccccccccccccccccaaaacccgbbbbbccccccccce bbb cbbbe gccccccccbbbgcccccccccccccccccccgaaaccccbbbbbfccccccccce bbbg bbbb gccccccccbbbgcccccccccccccccccccaaaaccgbbbbbaaccccccccce gbbb gbbb gccccccccbbbgcccccccccccccccccccaaagcdbbbbdaaaacccccccce bbb bbbd gccccccccbbbdccccccccccccccccccfaaacbbbbbgcgaaaaccccccce bbbc dbbb gccccccccbbbdccccccccccccccccccaaafbbbbbccccfaaafcccccce dbbb ebbbc gccccccccbbbdcccccccccccccccccfaaabbbbbccccccaaaacccccce ebbb gbb gccccccccbbbdcccccccccccccccccaaabbbbbccccccccaaaaccccce bbbc e gccccccccdbbdccccccccccccccccaaabbbbdcccccccccgaaaacccce dbbb gccccccccdbbdcccccccccccccccaabbbbbgcccccccccccfaaagccce ebbb gccccccccdbbbccccccccccccccaabbbbbccccccccccccccaaaaccce bbbe gccccccccdbbbcccccccccccccfabbbbbccccccccccccccccaaaacce bbbd gccccccccdbbbccccccccccccgabbbbbcccccccccccccccccgaaaace cbbb gccccccccgbbbccccccccccccabbbbdcccccccccccccccccccfaaage bbbe gccccccccgbbbcccccccccccabbbbgcccccccccccccccccccccaaaae bbbd gccccccccgbbbccccccccccabbbbgcccccccccccccccccccccccaaaa gbbb gccccccccgbbbcccccccccaabbbcccccccccccccccccccccccccgaaaf bbb gccccccccgbbbccccccccfabbbbccccccccccccccccccccccccccfaaac bbbg gcccccccccbbbcccccccfaabbbdcccccccccccccccccccccccccccaaaa gbbb gcccccccccbbbccccccgaaabbbcccccccccccccccccccccccccccccaaaa bbb gcccccccccbbbccccccaaabbbbccccccccccccccccccccccccccccccaaaf bbbc gcccccccccbbbcccccaaaabbbdcccccccccccccccccccccccccccccefaaac dbc gcccccccccbbbccccaaaagbbbcccccccccccccccccccccccccccccce aaaa gcccccccccbbbcccaaaafdbbbcccccccccccccccccccccccccccccce aaaa gcccccccccbbbccfaaaacbbbdcccccccccccccccccccccccccccccce caaaf gcccccccccbbbcgaaaaccbbbccccccccccccccccccccccccccccccce faaae gcccccccccbbbcaaaaccgbbbccccccccccccccccccccccccccccccce aaaa gcccccccccbbbaaaacccbbbdccccccccccccccccccccccccccccccce eaaaa gcccccccccbbbaaagcccbbbgccccccccccccccccccccccccccccccce caaaf gcccccccccbbbaafcccgbbbcccccccccccccccccccccccccccccccce aaaae gcccccccccbbbafccccbbbbcccccccccccccccccccccccccccccccce aaaa gcccccccfabbbacccccbbbgcccccccccccccccccccccccccccccccce eaaaa gccccccaaabbbgccccgbbbccccccccccccccccccccccccccccccccce gaaaf gccccfaaaabbbdccccbbbbccccccccccccccccccccccccccccccccce aaaae gcccaaaaaabbbdccccbbbgccccccccccccccccccccccccccccccccce aaaa gcfaaaaagcbbbdcccgbbbcccccccccccccccccccccccccccccccccce eaaaa gaaaaaacccbbbdcccdbbbcccccccccccccccccccccccccccccccccce gaaac faaaaagccccdbbdcccbbbgcccccccccccccccccccccccccccccccccce aaaa eaaaaaaccccccdbbdcccbbbccccccccccccccccccccccccccccccccccce aaac faaaaagcccccccdbbbccdbbbccccccccccccccccccccccccccccccccccce aaaa eaaaaaacccccccccdbbbccbbbdccccccccccccccccccccccccccccccccccce eaaae faaaaaegcccccccccdbbbccbbbcccccccccccccccccccccccccccccccccccce aaaa eaaaaaf gcccccccccgbbbcdbbbcccccccccccccccccccccccccccccccccccce eaaae aaaae gcccccccccgbbbcbbbdcccccccccccccccccccccccccccccccccccge aaaf caf eeeeeeeeecbbbebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cf e ebbbgbbb ebbbbbbg ebbbbbb bbbbbb bbbbbd bbbbbe bbbbb bbbbd bbbbe bbbb bbbd bbbe gbb ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#393c52ff b,#4f9722ff c,#aeca9eff d,#7db35dff e,#d7e0d4ff f,#5d5f71ff g,#90929eff ``` ```image ebbbbbbbe ebbbbbbe dbbbbbbc bbbbbbc cbbbbbbb bbbbbbc e bbbbbbbc bbbbbbc cb dbbbbbbd bbbbbbc dbb ebbbbbbbe bbbbbbc dbbb dbbbbbbd bbbbbbc ebbbbb cbbbbbbbe bbbbbbc ebbbbbb bbbbbbbc dbbbbbd gffg cbbbbbbb bbbbbbb dbbbbbd gaaaaf cbbbbbbbb bbbbbbc dbbbbbd eaaaaaag dbbbbbbbbb bbbbbd dbbbbbd gaaaaaaae edbbbbbbbbbe bbbbbe dbbbbbd aaaaaaaaae ebbbbbbbbbd bbbbd dbbbbbd caaaaaaaaaf cbbbbbbbbbd bbbbe dbbbbbd faaaaaaaaaag cbbbbbbbbbc bbbc dbbbbbd eaaaaaaaaaaaae dbbbbbbbbbc bbb cbbbbbb faaaaaaaaaaaaae dbbbbbbbbbe bbc cbbbbbb eaaaaaaaaaaaaaaf ebbbbbbbbbde bd cbbbbbb gaaaaaacgaaaaaaag ebbbbbbbbbd be cbbbbbb aaaaaaa faaaaaaae cbbbbbbbbbc d cbbbbbb gaaaaaag eaaaaaaafdbbbbbbbbbc cbbbbbb aaaaaaae eaaaaaabbbbbbbbbbe cbbbbbb caaaaaag gaaaabbbbbbbbbde cbbbbbbe faaaaaae faabbbbbbbbbd ebbbbbbe eaaaaaaf eabbbbbbbbbd ebbbbbbe faaaaaac cbbbbbbbbbc ebbbbbbe eaaaaaaf dbbbbbbbbbag ebbbbbbe gaaaaaag edbbbbbbbbbaaae ebbbbbbe aaaaaaa ebbbbbbbbbbaaaaf ebbbbbbe gaaaaaag cbbbbbbbbbbaaaaaaf bbbbbbc faaaaaae cbbbbbbbbbcgaaaaaaac bbbbbbc eaaaaaaf dbbbbbbbbbc faaaaaaae bbbbbbc faaaaaae dbbbbbbbbbe eaaaaaaaf bbbbbbc eaaaaaaf ebbbbbbbbbde caaaaaaag bbbbbbc gaaaaaacebbbbbbbbbd gaaaaaaac bbbbbbc eaaaaaaacbbbbbbbbbc faaaaaaae bbbbbbc gaaaaaadbbbbbbbbbc eaaaaaaaf dbbbbbd aaaaaabbbbbbbbbbe caaaaaaag dbbbbbd faaaaabbbbbbbbbde gaaaaaaac dbbbbbd gaaaaabbbbbbbbbd faaaaaaae dbbbbbd caaaaabbbbbbbbbc eaaaaaaaf dbbbbbd eaaaabbbbbbbbbbc caaaaaaag dbbbbbd eaaaabbbbbbbbbbe gaaaaaaac dbbbbbd faaabbbbbbbbbbe faaaaaaae dbbbbbd faaabbbbbbbbbd eaaaaaaaf cbbbbbb gaaabbbbbbbbbd gaaaaaaag cbbbbbb gaabbbbbbbbbbc faaaaaaac cbbbbbb caabbbbbbbbbbe faaaaaaae cbbbbbb eaabbbbbbbbbbe eaaaaaaaf cbbbbbb eaabbbbbbbbbde gaaaaaaag cbbbbbb fabbbbbbbbbd faaaaaaa cbbbbbb fabbbbbbbbbc faaaaaa cbbbbbbe gabbbbbbbbbc eaaaaaa ebbbbbbe gabbbbbbbbbe gaaaaa ebbbbbbe eaabbbbbbbde faaaa ebbbbbbe eaabbbbbbbd aaaa ebbbbbbe efaabbbbbbd eaaa ebbbbbbe faaabbbbbbc gaa ebbbbbbe faaabbbbbbbe fa bbbbbbc gaaaabbbbbbd ea bbbbbbc caaaaabbbbbbc e bbbbbbc eaaaaabbbbbbbe bbbbbbc eaaaaaabbbbbbb bbbbbbc faaaaaabbbbbbc bbbbbbc faaaaaabbbbbbbe bbbbbbc gaaaaaaabbbbbbb dbbbbbd gaaaaaaafbbbbbbd dbbbbbd caaaaaaaacbbbbbbe dbbbbbd eaaaaaaaaedbbbbbb dbbbbbd eaaaaaaaacebbbbbbd dbbbbbd faaaaaaag cbbbbbbe dbbbbbd faaaaaaaf dbbbbbb dbbbbbd gaaaaaaaf bbbbbbd dbbbbbd gaaaaaaaae cbbbbbbc cbbbbbb eaaaaaaaae dbbbbbb cbbbbbb eaaaaaaaac bbbbbbd cbbbbbbefaaaaaaag cbbbbbbc cbbbbbbfaaaaaaag dbbbbbb cbbbbbbaaaaaaaf bbbbbbd cbbbbbbaaaaaaf ebbbbbbc cbbbbbbaaaaaae dbbbbbbe ebbbbbbaaaaae bbbbbbd ebbbbbbaaaac ebbbbbbc ebbbbbbaaag dbbbbbbe gbbbbbbaag bbbbbbd efabbbbbbaf ebbbbbbc gaaabbbbbbf cbbbbbbe efaaaabbbbbbc bbbbbbb gaaaaaabbbbbbc ebbbbbbc efaaaaaaabbbbbbc cbbbbbbe gaaaaaaaaabbbbbbc dbbbbbb efaaaaaaaaaabbbbbbc ebbbbbbd gaaaaaaaaaafebbbbbbc cbbbbbbe efaaaaaaaaaag bbbbbbc dbbbbbb gaaaaaaaaaafe bbbbbbc ebbbbbbd efaaaaaaaaaag dbbbbbd cbbbbbbe gaaaaaaaaaafe dbbbbbd dbbbbbb efaaaaaaaaaag dbbbbbd bbbbbbd aaaaaaaaaafe dbbbbbd cbbbbbbc aaaaaaaaag dbbbbbd dbbbbbb aaaaaaafe dbbbbbd bbbbbbd aaaaaag dbbbbbd cbbbbbbc aaaafe dbbbbbd dbbbbbb aaag cbbbbbb bbbbbbd afe cbbbbbb cbbbbbbc g cbbbbbb dbbbbbbe cbbbbbb bbbbbbd cbbbbbb ebbbbbbc cbbbbbb dbbbbbbe cbbbbbb bbbbbbd ``` <!-- end of image --> I've cracked the case! This area contains 2 intersections. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#393c53ff b,#4f9822ff c,#afcba0ff d,#7fb45fff e,#d7e1d4ff f,#5e6073ff g,#8f909dff ``` ```image ee dbbe bbbd bbbbd ebbbbd bbbbbd cbbbbbb bbbbbbb e dbbbcbbb bbb bbbdcbbb bbbbd bbbb ebbb ebbbbbb ebbbe ebbb cbbbbbbb bbbb ebbb dbbbbebbbc cbbb bbb bbbbb dbbb bbbd bbb bbbbb bbb dbbb bbb ebbbbd bbbc bbbc bbb fg cbbbbd dbbb bbbb bbb aaag dbbbbe ebbb ebbbe bbb aaaae bbbbb bbbe bbbb bbb faaaaa bbbbb bbbd cbbb bbb aaaaaaa bbbbb ebbb bbbd bbb gaaagaaag ebbbbd bbb dbbb bbb aaag aaaadbbbbc bbbd bbbc bbb caaa aabbbbbe cbbb bbbb bbbe aaaf ebbbbb bbb ebbbe bbbe eaaa bbbbbg bbbc bbbb bbbe aaaa ebbbbbaa cbbb dbbb bbbc aaae cbbbbcaaaa bbb bbbd bbbc faaa dbbbbe eaaaf bbbc bbbb bbbc aaacbbbbb gaaac dbbb bbbc bbbc gaaabbbbb aaaa bbb cbb dbbd aaabbbbd aaaa bbbe e dbbd aaabbbbd eaaaf dbbb dbbd aabbbbbe gaaac ebbb dbbd fabbbbb aaaa bbbe cbbb gabbbbb aaaa bbbd cbbb eabbbbb eaaaf cbbb cbbb abbbbd faaae bbb cbbb abbbbc aaaa bbbd ebbb abbbbe aaaa cbbb ebbb fabbb eaaaf bbb ebbb fabbbb faaae bbbc bbb caabbbc aaaa dbbb bbb eaaabbb aaaa bbb bbb aaabbbb eaaaf bbbc bbb aaaabbbd faaae dbc bbb aaaaebbb aaaa bbb faaagcbbb aaaa bbb gaaaf bbbd caaaf bbb eaaaa bbb faaae bbbeaaaa cbbb aaaa bbbaaaa bbbd aaaa bbbaaae bbbe caaag bbbaac ebbb faaae bbbag bbbd aaaa gabbbf bbbe aaaa aaabbbc ebbb gaaag gaaaabbbc dbbb faaae aaaaafbbbc bbbe aaaa gaaaaae bbbc ebbb aaaa aaaaaf dbbd dbbb gaaac gaaaaae dbbd bbbc aaaa aaaaaf dbbd bbb aaae gaaaaae dbbd dbbb aaaa aaaaaf cbbb bbbc aaae gaaaaae cbbb bbb aaaa aaaaaf cbbb dbbb eaaa aaaae cbbb bbbc aaaf eaf ebbb bbb ef e ebbbcbbb ebbbbbbd bbbbbb bbbbbb bbbbbd bbbbb bbbbb bbbbd bbbbe bbbb bbbd bbbe dbb ``` <!-- end of image -->
[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ac3395ff b,#9172f4ff c,#d4aaddff d,#5b27f6ff e,#be77b0ff f,#b0d6b0ff g,#ede8f2ff ``` ```image fffffffffffffffffffg fffffffffffffffffffg fffffffffffffffffffg ffffeaaffffffffffffg ffffaaaffffffffffffg ffffaaaffffffffffffg ffffaaaefffffffffffg gcbb ffffaaaafffffffffffg ggcbbddddddddddddd ffffaaaafffffffffffgggcbbdddddddddddddddddddddddddd ffffaaaaffbbddddddddddddddddddddddddddddddbbcgg ddddg ffddddddddddddddddddddddddddddbbcg ddddc ffddddddddddddddddbbcg bdddb ffbdddddaffffffffffg cdddd ffffaaaaaffffffffffg gdddd ffffaaaaaffffffffffg dddd ffffaaaaaffffffffffg ddddg ffffaaaaaffffffffffg bdddc ffffaaeaaefffffffffg bdddb ffffaaeaaafffffffffg cdddd ffffaaeaaafffffffffg gdddd ffffaaeaaafffffffffg ddddg ffffaaeeaafffffffffg ddddg ffffaaefaaeffffffffg bdddb ffffaaffaaaffffffffg bdddb ffffaaffaaaffffffffg gdddd ffffaaffaaaffffffffg gdddd fffeaaffeaaffffffffg ddddg fffeaafffaaffffffffg ddddc fffeaafffaaefffffffg bdddb fffeaafffaaafffffffg cdddb gggeaagggaaaggggggg gdddd eaa eaa dddd eaa caag ddddg eaa aac ddddc eaa aaa bdddb aaa aaa cdddd aaa aaa gdddd aaa caa ddd aaa gaac dg aaa aae aaa aaa aaa aaa aaa eaa aaa gaac aaa aae aaa aaa aaa aaa aae eaa aae caag aae aac aae aaa aae aaa aac aaa aac caa aac gaac gaac aae gaag aaa gaag aaa caag eaa caag gaaaaaec caa aaaaaaaaaaeg caa geaaaaaaaaaaaac caa ceaaaaaaaaaaaec eaa ceaaaaaaaaaaaeg eaa gcaaaaaaaaaaaacg eaa geaaaaaaaaaaaec eaa ceaaaaaaaaaaaec aaa caaaaaaaaaaaaeg cee geaaaaaaaaaaaac geaaaaaaaaaac ceaaaaaaa gcaaaag aaaae eaaaag gaaaae eaaaa gaaaac aaaaa caaaag aaaae eaaaa gaaaac aaaag cae ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#ac3295ff b,#9b7bf8ff c,#d496c8ff d,#5b27f6ff e,#bd60aeff f,#7a2acfff g,#e4cbebff ``` ```image ceeg caaaa aaaaac aaaaae aaaaae aaaaaa aaaaaag aaaaaac gaaaaaac gaaaaaae gaaaaaaa gaaaaaaag gaaaaaaag gggbbbb gaaaaaaac gggbbbbbddddddddddd ggbfffffddddddddddddddddddddddd dddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddb bddddddddddddddddddbbbbbggg bddddddfffffegg gggcaaaaaaaae caaaaaaaaa caaaaaaaaag caaaaaaaaac caaaaaaaaac eaaaaaaaaae eaaaaaaaaaa eaaaaaaaaaag eaaaaeaaaaag eaaaaeaaaaac eaaaaceaaaae eaaaaccaaaaa eaaaaccaaaaa aaaaacgaaaaag aaaaac aaaaac aaaaac eaaaae aaaaac eaaaae aaaaac caaaaa aaaaac gaaaaag aaaaag aaaaac aaaaag aaaaac gaaaaag eaaaae gaaaaag caaaaa gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag aaaaac gaaaaag eaaaae gaaaaa caaaaa gaaaaa caaaaa caaaaa gaaaaag caaaaa aaaaac caaaaa eaaaae caaaaa eaaaae ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ac3295ff b,#8059f8ff c,#d79fcdff d,#5b27f6ff e,#c26cb3ff f,#ad94faff g,#e6d1efff ``` ```image caa aaa aaa aaac gfff aaae gffbddddddddddddd aaaa gffbdddddddddddddddddddddddddd aaaa gffbdddddddddddddddddddddddddddddbffg ddddg dddddddddddddddddddddddddddbbffg bdddf bddddddddddddddbbffg fdddb bdddddeg gdddd aaaaa gdddd aaaaa dddd aaaaa ddddg aaaaag bdddf aaeaac fdddb aaeaaa gdddd aacaaa dddd aacaaa dddd aaccaa ddddg aacgaac bdddf gaag aae fdddb gaag aaa gdddd gaag aaa dddd gaa eaa dddd caa gaag ddddg caa aae bdddf caa aaa fdddb caa aaa gdddd eaa eaa dddd eaa caag ddddg eaa aac ddddg eaa aaa bdddf aaa aaa fdddb aaa aaa gdddd aaa caa ddd aaa gaac dg aaa aae aaa aaa aaa aaa aaa eaa aaa gaag aaa aae aaa aaa aaa aaa aae eaa aae caag aae aac aae aaa aac aaa aac aaa aac caa aac gaac aag aae gaag aaa gaag aaa gaag eaa caa gaaaaaeg caa aaaaaaaaaacg caa gcaaaaaaaaaaaac caa geaaaaaaaaaaaec eaa ceaaaaaaaaaaaeg eaa caaaaaaaaaaaac eaa geaaaaaaaaaaaec eaa geaaaaaaaaaaaeg eaa caaaaaaaaaaaaeg cee gcaaaaaaaaaaaac geaaaaaaaaaac ceaaaaaaa caaaag aaaae caaaa aaaae eaaaa gaaaac aaaaa caaaag aaaae eaaaa gaaaac eaaag gae ``` <!-- end of image -->
[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#c2ccc0ff b,#b0ac98ff c,#cacce0ff d,#e0ded9ff e,#f0f4efff f,#b1d7b1ff g,#96ca96ff ``` ```image e ccc ccce ccc ccce ccc eeeeccceeeee fffffcccfffg fffffcccfffg ffffffcccffg bbd ffbbbfcccffg dbbb ffbbbfacccfg bbbb ffbbbffcccfg bbbbb ffbbbffaccag ebbbbb ffbbbfffcccg bbbbbb ffbbbfffacca abbbabb ffbbbffffccc bbb abb ffbbbffffaccc bbbd dbb ffbbbfffffccc dbbb dbbe ffbbbffffffccc bbb ebbd ffbbbffffffccce bbba bbd ffbbbffffffgccc ebbb bba ffbbbffffffgccce bbbe bba ffbbbffffffg ccc abba bbb ffbbbffffffg dccd bbb bbb ggbbbggggggf ccc bbbe bbb abb eccc dbbb bbb abb ccc bbb bbb abb eccc bbbd abb abb ccc dbbb abb abb ccc bbb dbb abb ccce abba dbbe abb ccc ebbb ebbd abb ccce bbbe bbd abb ccc abbb bba dbb dccd bbb bba dbb ccc bbbd bbb dbb eccc dbbb bbb dbb ccc eeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeebbbeeeeeeeeee dbb eccc egfffffffffffffffffffffbbbbfffffffffffffffffbbbffffffffff dbb cccc effffffffffffffffffffffbbbffffffffffffffffffbbbffffffffff dbb cccc efffffffffffffffffffffbbbfffffffffffffffffffbbbffffffffff dbb cccc effffffffffffffffffffbbbbfffffffffffffffffffbbbffffffffff dbbe cccc effffffffffffffffffffbbbfffffffffffffffffffffbbfffffcffff dbbe ccccefffffffffffffffffffbbbffffffffffffffffffffffbbffffcccfff dbbe ccccfffffffffffffffffffbbbffffffffffffffffffffffbbfffccccfff dbbe ccccfffffffffffffffffbbbfffffffffffffffffffffffbbbfacccffff dbbe ccccfffffffffffffffbbbbfffffffffffffffffffffffbbbfcccfffff dbbe ccccffffffffffffffbbbffffffffffffffffffffffffbbbcccafffff dbbe eccccffffffffffffbbbfffffffffffffffffffffffffbbccccffffff dbbe efccccffffffffffbbbbfffffffffffffffffffffffffbccccfffffff dbbe effccccfffffffffbbbffffffffffffffffffffffffffacccffffffff dbbe efffccccfffffffbbbffffffffffffffffffffffffffacccfffffffff ebbe effffccccfffffbbbbffffffffffffffffffffffffffcccbfffffffff ebbe efffffccccffffbbbffffffffffffffffffffffffffcccabfffffffff ebbe effffffccccffbbbffffffffffffffffffffffffffccccbbfffffffff ebbd efffffffcccafbbbfffffffffffffffffffffffffccccfbbfffffffff ebbd effffffffcccabbfffffffffffffffffffffffffacccffbbfffffffff ebbd efffffffffcccabfffffffffffffffffffffffffcccfffbbfffffffff ebbd effffffffffcccaffffffffffffffffffffffffcccafffbbbffffffff ebbd efffffffffbbcccaffffffffffffffffffffffcccaffffbbbffffffff ebbd effffffffbbbbcccaffffffffffffffffffffccccfffffbbbffffffff ebbd effffffffbbbfacccaffffffffffffffffffccccffffffbbbffffffff ebbd efffffffbbbfffacccaffffffffffffffffacccfffffffbbbffffffff ebbd efffffffbbbffffacccafffffffffffffffcccffffffffbbbffffffff ebbbbbbaadde effffffbbbffffffacccafffffffffffffcccaffffffffbbbffffffff bbbbbbbbbbbbbbbbbbbbaadde efffffbbbbfffffffacccafffffffffffccccfffffffffbbbffffffff abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffffffffacccafffffffffccccffffffffffbbbffffffff eddaabbbbbbbbbbbbbbbbbbbbbfffffffffffacccffffffffacccfffffffffffbbbffffffff eddaabbbbbbbffffffffffffacccffffffacccfffffffffffffbbffffffff effffffffffffffffffffacccfffffcccffffffffffffffbbbfffffff efffffffffffffffffffffacccfffcccaffffffffffffffbbbfffffff effffffffffffffffffffffacccfccccffffffffffffffffbbbffffff egggggggggggggggggggggggaccccccgggggggggggggggggbbbgggggg dcccc abbd dcc bbb e bbbe bbb bbb ebbb bbb dba ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#c8c5b8ff b,#afab98ff c,#cbcce0ff d,#d9d9e8ff e,#f3f4f8ff f,#bfbbacff g,#e7e8f1ff ``` ```image gcccccg cccccc dcccccg ecccccc dcccccg ecccccc affffc dcccccg fbbbba ecccccd fbbbba dccccce fbbbba ecccccd fbbbba dccccce fbbbba gcccccd fbbbba cccccce fbbbba gcccccd fbbbba cccccce fbbbba gcccccd fbbbba cccccc fbbbba gccccc fbbbba ccccc fbbbba gcccc fbbbba dccc fbbbba eccc fbbbba dcc fbbbba ecc fbbbbf dc abbbbf ec abbbbf g abbbbf abbbbf abbbbf abbbbf abbbbf abbbbf abbbbf abbbbf abbbbf ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Now, let's dive into another area. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#cac7bdff b,#b0ab98ff c,#cbcce1ff d,#e4e4eaff e,#f3f4f6ff f,#bcb8a9ff g,#dcdad2ff ``` ```image abbbbbf dbbbbbd dbbbbbbd ebbbbbg fbbbbba ebbbbbg gbbbbbbe bbbbbg ebbbbbbg bbbbba fbbbbba fbbbba gbbbbbbe fbbbbf ebbbbbbg abbbbf abbbbbf abbbbf dbbbbbbd gbbbbb e fbbbbba gbbbbb dcd gbbbbbfe gbbbbbe ecccd ebbbbbbd dbbbbbd ecccccce fbbbbba dbbbbbd ccccccce e gbbbbbbe ebbbbbg dcccccce ce ebbbbbbg ebbbbbg dccccccd cce abbbbbf bbbbbg dccccccd ccce dbbbbbbe fbbbba eccccccc cccce efbbbbba fbbbba eccccccce ccccce abbbbbf fbbbbf ccccccce cccccce dbbbbbbd abbbbfdccccccd ccccccce fbbbbba abbbbaccccccd dccccccc gbbbbbbe gbbbfccccccc dccccccc ebbbbbbg gbbfccccccc cccccccc abbbbbf gbbccccccce cccccccc gbbbbbbe dbacccccce cccccccc ebbbbbbg daccccccd cccccccc abbbbbf dccccccd cccccccc bbbbbbd eccccccc cccccccc bbbbba ecccccccg cccccccc gbbbbfe cccccccfa cccccccd ebbbbbg ccccccfba cccccccd fbbbba dcccccabbf ecccccccd gbbbbbe dcccccabbbf ecccccccd abbbbf eccccccgbbbbb ecccccccd dbbbbbd ccccccegbbbbbe ecccccccdfbbbba dcccccd gbbbbbe ecccccccabbbbe dcccccd dbbbbbd ecccccccabbb ecccccc dbbbbbd ecccccccaba eccccccc ebbbbbg ecccccccae ccccccce bbbbbg dcccccccd ccccccce bbbbba afccccccc dccccccd fbbbba dbbfccccccd dccccccd fbbbba efbbbfccccccd eccccccc abbbbf abbbbbfccccccd eccccccce abbbbf dbbbbbbdeccccccd ccccccce abbbbb fbbbbba eccccccd dccccccd gbbbbb gbbbbbbe eccccccd dccccccd gbbbbbe ebbbbbbg eccccccd eccccccd gbbbbbe abbbbbf cccccccd eccccccc dbbbbbd gbbbbbbe eccccccce eccccccce ebbbbbd ebbbbbbg eccccccce ccccccce ebbbbbg abbbbbf eccccccce dccccccd bbbbbg dbbbbbbd dccccccce dccccccd bbbbba fbbbbba dccccccce eccccccc fbbbba aaagggddeegbbbbbfe dccccccce eccccccc fbbbba bbbbbbbbbbbbbbbbg dccccccce ccccccce abbbbf bbbbbbbbbbbbbbba dccccccce ccccccce abbbbf bbbbbbbbbbbbbbbe dccccccce dccccccd abbbbb bbbbbbbbbbbbbbg dccccccce dccccccd gbbbbb ffbbbbbbbbbbba dccccccce eccccccc gbbbbbe eeddggggg dccccccce eccccccce dbbbbbg dccccccce ccccccce ebbbbbf dccccccce dccccccd abbbbbd dccccccce dccccccd dbbbbba dccccccce eccccccd fbbbbbe dccccccceeccccccc gbbbbba ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area B! Answer: A: 0; B: 2; 0 + 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#cac7bcff b,#b0ab98ff c,#cbcce1ff d,#e3e2e3ff e,#f0eff1ff f,#bdb8a9ff g,#dad7cfff ``` ```image e ccc ccce ccc ccce ccc ccc ccc ccc eccc fbd fbb ccc dbbb fbb eccc bbbb fbb ccc fbbbb fbb eccd ebbbbb fbb ccc bbbbbb fbb eccc abbffbb fbb ccc bbb abb fbb eccc bbbd gbb fbb ccc gbbb dbbe abb ccc bbb ebbd abb ccce fbbg bbg abb ccc ebbb bba abb ccce bbbe bbf abb ccc abbf bbb abb dccd bbb bbb abb ccc bbbd bbb abb eccc gbbb bbb abb ccc bbb bbb abb eccc bbbg fbb abb ccc dbbb abb abb ccc bbb gbb abb ccce fbba dbbe gbb ccc ebbb ebbd gbb ccce bbbe bbg gbb ccc abbf bba gbb dccd bbb bbf gbb ccc bbbg bbb gbb eccc dbbb bbb gbb ccc bbb bbb gbb eccc fbba bbb gbb cccc ebbb bbb gbb cccc bbbe fbb gbb cccc abbf abb gbbe cccc bbb gbb c gbbe cccc bbbd dbbe ccc dbbe cccc gbbb ebbd dccc dbbe cccc bbb bbg eccc dbbe cccc fbbg bba ccc dbbe cccc ebbb bbfccce dbbe cccc bbbe bbcccd dbbe cccc abbf bcccc dbbe cccc bbb accc dbbe cccc bbbd eccc dbbe cccd gbbf cccf dbbd cccd bbb cccab ebbd cccd bbbg ccccbb ebbd cccddbbb ccccgbb ebbd cccabb dccc dbbe ebbd ecccaa eccc ebbg ebbd ecccd ccce bbg ebbd bfcccd cccd bba ebbd abbfcccd cccc bbf ebbd bbb eccce dccc bbb ebbd bbbg eccce eccc bbb ebbd dbbb eccce ccc bbb ebbbbbfaagde bbb eccce ccce bbb bbbbbbbbbbbbbbbbbbbffagde fbba eccce cccc fbb abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eccce cccc abb edgaffbbbbbbbbbbbbbbbbbbbbe dccce dccc abb edgaafbbbbba dccce eccc gbbe dccce ccce ebbf dccce cccd bbb dccc cccc gbba dcccccc bbb dcccc abbg dcc bbb e fbbe bbb bbb ebbf bbb gba ``` <!-- end of image -->
[ "" ]
Based on a first glance, I suspect there could be intersection regions here. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#b37c83ff b,#520e5eff c,#b6a5a0ff d,#e0ccd2ff e,#96c996ff f,#b1d7b1ff g,#784f7bff ``` ```image dbd bbbb gbbbbbc dbbbbbb gbbbbba dbbbbbb gbbbbbg daa bbbbbbd aaad abbbbbg feeeeeeeeeeeeeeeeeeeaaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbd effffffffffffffffffcaaaaafffffffffffffffffffffffffffffffffffff cbbbbbb effffffffffffffffffaaaaaafffffffffffffffffffffffffffffffffffff bbbbbbc efffffffffffffffffaaaaaaacffffffffffffffffffffffffffffffffffff cbbbbbb effffffffffffffffaaaacaaaaffffffffffffffffffffffffffffffffffff bbbbbbceffffffffffffffffaaaafcaaaffffffffffffffffffffffffffffffffffff dbbbbbbfffffffffffffffaaaafffaaaffffffffffffffffffffffffffffffffffff gbbbbbgffffffffffffaaaacfffaaacfffffffffffffffffffffffffffffffffff dbbbbbbefffffffffcaaaaffffaaaafffffffffffffffffffffffffffffffffff gbbbbbgffffffffaaaafffffcaaafffffffffffffffffffffffffffffffffff ebbbbbbcfffffaaaacffffffaaacffffffffffffffffffffffffffffffffff efgbbbbbbfffcaaaafffffffaaaaffffffffffffffffffffffffffffffffff efffbbbbbbcfaaaaffffffffaaaaffffffffffffffffffffffffffffffffff effffabbbbbaaaafffffffffcaaaffffffffffffffffffffffffffffffffff effffffbbbgaaaaffffffffffaaacfffffffffffffffffffffffffffffffff efffffffcbaaaabffffffffffaaaafffffffffffffffffffffffffffffffff effffffffaaaabbbgffffffffcaaafffffffffffffffffffffffffffffffff efffffffaaaagbbbbbffffffffaaafffffffffffffffffffffffffffffffff efffffffaaaafgbbbbbgffffffaaacffffffffffffffffffffffffffffffff effffffaaaafffebbbbbbeffffaaaaffffffffffffffffffffffffffffffff efffffaaaacfffffgbbbbbgfffcaaaffffffffffffffffffffffffffffffff effffcaaaaffffffffbbbbbbcffaaaffffffffffffffffffffffffffffffff effffaaaaffffffffffgbbbbbbfaaacfffffffffffffffffffffffffffffff efffaaaacffffffffffffbbbbbbaaaafffffffffffffffffffffffffffffff effcaaaaffffffffffffffabbbbgaaafffffffffffffffffffffffffffffff effaaaafffffffffffffffffbbbbaaacffffffffffffffffffffffffffffff efaaaafffffffffffffffffffcbbaaaaffffffffffffffffffffffffffffff ecaaaafffffffffffffffffffffggaaabgffffffffffffffffffffffffffff eaaaafffffffffffffffffffffffeaaaabbfffffffffffffffffffffffffff aaaafffffffffffffffffffffffffaaaabbbgfffffffffffffffffffffffff caaacffffffffffffffffffffffffffaaagbbbbcfffffffffffffffffffffff aaaafffffffffffffffffffffffffffaaaabbbbbbffffffffffffffffffffff aaaaffffffffffffffffffffffffffffcaaafbbbbbbcffffffffffffffffffff aaaacfffffffffffffffffffffffffffffaaaafabbbbbbfffffffffffffffffff daaaaffffffffffffffffffffffffffffffcaaafffbbbbbbbfffffffffffffffff aaaaefffffffffffffffffffffffffffffffaaacfffcbbbbbbgfffffffffffffff aaaadefffffffffffffffffffffffffffffffaaaafffffgbbbbbbafffffffffffff daaaa efffffffffffffffffffffffffffffffcaaafffffffbbbbbbbefffffffffff aaaa effffffffffffffffffffffffffffffffaaaaffffffffbbbbbbbffffffffff aaaa effffffffffffffffffffffffffffffffcaaafffffffffcbbbbbbgffffffff caaac efffffffffffffffffffffffffffffffffaaacffffffffffgbbbbbbgffffff aaaa efffffffffffffffffffffffffffffffffaaaaffffffffffffgbbbbbbcffff aaaa effffffffffffffffffffffffffffffffffaaaffffffffffffffbbbbbbbfff caaac effffffffffffffffffffffffffffffffffaaaaffffffffffffffcbbbbbbff aaaa effffffffffffffffffffffffffffffffffcaaaffffffffffffffffabbbfff aaaa efffffffffffffffffffffffffffffffffffaaacfffffffffffffffffggfff aaaad efffffffffffffffffffffffffffffffffffaaaaffffffffffffffffffffff daaaa effffffffffffffffffffffffffffffffffffaaacfffffffffffffffffffff aaaa effffffffffffffffffffffffffffffffffffaaaafffffffffffffffffffff aaaad caaa a daaaa aaac aaad aaaa aaaa aaaac aaaad aaad daaaa caaac aaaa aaaa aaaa daaa aaaa aaaa aaac aaaad caaac caaa caaaa aaaa aaad daaaa aaaa aaaa aaaa caaad daaa aaad daaaa aaac aaa aaaa caaa caaa aaaad aaad aaaa daaaa aaaa aaad caa daaa aaa dd aaaadaaa caaaaaaa aaaaaac aaaaaad daaaaa aaaaa caaaa aaad caa ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b47c83ff b,#520d5eff c,#c39eabff d,#dac4cdff e,#eee4e8ff f,#976e9eff g,#743a77ff ``` ```image eaaaaaaa aaaaaaaad aaaaaaaaac eaaaaaaaaaae caaaaaaaaaad daaaaaaaaaaac eaaaaaaaaaaaaa daaaaaaa caaaaad eaaaaaaae daaaaac gd caaaaaad eaaaaaa bb aaaaaac aaaaaae bbgd eaaaaaae caaaaad bbbbfe aaaaaad daaaaac bbbbbbbe daaaaaaa aaaaaae bbbbbbbbc aaaaaaad caaaaad bbbbbbbbbge caaaaaac daaaaac dbbbbbbbbbbc daaaaaaa eaaaaaa ebbbbbbbbbbd aaaaaaae caaaaa fbbbbbbbbbgd daaaaaa daaaaa dgbbbbbbbbbf eaaaaaae aaaaa bbbbbbbbbbd caaaaaa aaaaae egbbbbbbbbbfcaaaaaac aaaaad cbbbbbbbbgaaaaaaae aaaaac bbbbbgaaaaaac caaaaad efbbbaaaaaaad daaaaac dgbaaaaaagbf eaaaaaa eaaaaaagbbbg aaaaaae daaaaaabbbbbf caaaaad caaaaaagbbbbbbbbfe eaaaaaa daaaaaaacbbbbbbbbbb aaaaaae eaaaaaaae gbbbbbbbbbfe caaaaad caaaaaad cbbbbbbbbbbc daaaaac eaaaaaae cbbbbbbbbbb aaaaaae aaaaaad fbbbbbbbbbgd caaaaad caaaaaa dgbbbbbbbbbf daaaaac eaaaaaaa fbbbbbbbbbg eaaaaaa aaaaaaad dbbbbbbbbbfe aaaaaa daaaaaaa egbbbbbbbbbfdaaaaa aaaaaaae cbbbbbbbbbgaaaaa aaaaaac ebbbbbbbbbaaaaae daaaaaa cbbbbbbbbaaaaac eaaaaaae efbbbbbbaaaaaa daaaaaac fbbbbgaaaaaa eaaaaaaae dgbbgaaaaaaf aaaaaaad fbbaaaaaaggd caaaaaac dbgaaaaaabbe aaaaaaae cbaaaaaagbgd caaaaac eaaaaaagbbbbc daaaaaa caaaaagbbbbbe aaaaaaa daaaaaabbbbbbc aaaaaac aaaaaabbbbbbbge aaaaaa daaaaabbbbbbbbbf aaaad aaaaacgbbbbbbbbbf aaac aaaaaaefbbbbbbbbbgd aaae aaaaaad dgbbbbbbbbbg aad daaaaaa bbbbbbbbbbfe aa eaaaaaae egbbbbbbbbbbc ad daaaaaae efbbbbbbbbbgd c aaaaaad gbbbbbbbbbbfe daaaaaa fbbbbbbbbbbbf eaaaaaad efbbbbbbbbbbc caaaaac dbbbbbbbbbbgd aaaaaa cbbbbbbbbbbbe daaaaa ebbbbbbbbbbbc aaaaad egbbbbbbbbbbgd aaaaac dgbbbbbbbbbbg aaaaaae cbbbbbbbbbbfe daaaaaa efbbbbbbbbbbgc aaaaaad dgbbbbbbbbbbd caaaaac gbbbbbbbbbbfe eaaaaaae cbbbbbbbbbbbf caaaaac efbbbbbbbbbbb aaaaaad dgbbbbbbbd caaaaac cbbbbbg eaaaaaa efbbbe caaaaa fbf daaaaa de aaaaaa aaaaaae caaaaac ``` <!-- end of image --> The evidence is clear: there's 2 intersections in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b47c83ff b,#520d5eff c,#c6a1abff d,#d9c2caff e,#ece1e5ff f,#966c9dff g,#773e7aff ``` ```image ebd bbbb fbbbbbc dbbbbbb gbbbbbf ebbbbbbe gbbbbbg daa ebbbbbbe aaad fbbbbbg aaaaa bbbbbbd caaaaa cbbbbbb aaaaaa bbbbbbc aaaaaaac cbbbbbb caaacaaaa gbbbbbf eaaaa daaa dbbbbbb aaaa aaae gbbbbbf aaaad aaac ebbbbbbe eaaaa aaaa fbbbbbg aaaa daaa ebbbbbbd aaaae aaae fbbbbbg daaaa aaac bbbbbbd aaaa caaa cbbbbbaaaae eaaa bbbgaaac aaad dbaaaab aaaa aaaabbbf caaa caaagbbbbbe eaaa eaaaa gbbbbbf aaad aaaa ebbbbbbe aaaa aaaad fbbbbbg caaa eaaaa bbbbbbd eaaa aaaa fbbbbbg aaad aaaae bbbbbbaaaa daaaa cbbbbgaaa aaaa bbbbaaad aaaae dbbaaaa caaac ggaaabf aaaa eaaaabbe aaaa caaabbbg caaac aaagbbbbe eaaaa aaaabbbbbg aaaa daaaebbbbbbd aaaad aaaa cbbbbbbe eaaaa caaa bbbbbbg aaaa aaad dbbbbbbf aaaae aaaa fbbbbbbc daaaa eaaae gbbbbbbe aaaa aaaa ebbbbbbb aaaae caaa dbbbbbbg caaac aaac fbbbbbbc aaaa aaaa gbbbbbbd aaaa eaaae bbbbbbb caaac aaaa ebbbbbg eaaaa caaa cbbb aaaa aaac ff aaaad aaaa eaaaa eaaae aaaa aaaa aaaae daaa a daaaa aaac aaad aaaa aaaa aaaac aaaae aaad daaaa caaac aaaa eaaaa aaaa daaa aaaae aaaa aaac aaaad caaac caaa caaaa eaaaa aaad eaaaa aaaa aaaa aaaa aaaad daaa aaad eaaaa aaaa eaaa aaaa caaa caaa aaaae aaad aaaa daaaa aaaa aaad caa eaaae aaa ee aaaadaaa caaaaaaa aaaaaac aaaaaae eaaaaa aaaaa caaaa aaad caa ``` <!-- end of image -->
[ "" ]
The hunt for intersections begins! Let's analyze this image closely. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#72f05aff b,#69678eff c,#45fe1dff d,#b1d7b1ff e,#97ca97ff f,#8a96a0ff g,#ecf4ecff ``` ```image dg bbbbg bbbbbbg dbbbbbbbbd bbbbbbbbbbbd bbbg gbbbbbbbd bbb bbbbbbbf fbbb fbbbbbbf bbbf fbbbbbbf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeefbbbbbbbeeeeeeeeee ddddddddddddddddddddddddddddddebbbddddddddddddddfbbbbbbbddddddddg ddddddddddddddddddddddddddddddbbbbddddddddddddddddfbbbbbbbedddddg ddddddddddddddddddddddddddddddbbbfddddddddddddddddddebbbbbbbedddg gggddfffbb ddddddddddddddddddddddddddddddbbbdddddddddddddddddddddebbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddfbbbddddddddddddddddddddddddbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddddddddddddddddbbbfddddddddddddddddddddddddddbbbbbbbbbbbbbbbbbbbbbfffd dddddddddddddddddddddddddddddbbbeddddddddddddddddddddedddddddfffddgg dddddddddddddddddddddddddddddbbbddddddddddddddddddddcccdddddddddg ddddedddddddddddddddddddddddfbbbdddddddddddddddddddcccccddddddddg ddbbbdddddddddddddddddddddddbbbfdddddddddddddddddeccccccadddddddg ddbbbeddddddddddddddddddddddbbbdddddddddddddddddaccccccccdddddddg ddbbbfdddddddddddddddddddddebbbddddddddddddddddaccccedccccddddddg ddfbbbdddddddddddddddddddddbbbbdddddddddddddddcccccdddeccccdddddg ddfbbbdddddddddddddddddddddbbbeddddddddddddddcccccdddddaccceddddg dddbbbdddddddddddddddddddddbbbddddddddddddddcccccdddddddccccddddg dddbbbddddddddddddddddddddfbbbdddddddddddddcccccdddddddddccccdddg dddbbbddddddddddddddddddddbbbfdddddddddddeccccaddddddddddacccaddg dddbbbfdddddddddddddddddddbbbdddddddddddeccccaddddddddddddccccedg dddbbbfddddddddddddddddddebbbddddddddddacccceddddddddddddddccccdg dddfbbbddddddddddddddddddfbbbdddddddddaccccedddddddddddddddeccccg dddebbbddddddddddddddddddbbbfddddddddcccccddddddddddddddddddacccd ddddbbbddddddddddddddddddbbbddddddddcccccddddddddddddddddddddcccc ddddbbbdddddddddddddddddfbbbdddddddcccccddddddddddddddddddddddcccc ddddbbbeddddddddddddddddbbbbddddddcccccdddddddddddddddddddddddeccca ddddbbbfddddddddddddddddbbbeddddeccccadddddddddddddddddddddddddccccg ddddfbbbddddddddddddddddbbbddddaccccadddddddddddddddddddddddddddcccc ddddfbbbdddddddddddddddfbbbdddacccceddddddddddddddddddddddddddddgcccc dddddbbbdddddddddddddddbbbfddcccccddddddddddddddddddddddddddddddgacccd dddddbbbdddddddddddddddbbbddcccccdddddddddddddddddddddddddddddddg ccccg dddddbbbddddddddddddddebbbdcccccddddddddddddddddddddddddddddddddg cccc dddddbbbfdddddddddddddbbbbcccccdddddddddddddddddddddddddddddddddg gccca dddddbbbfdddddddddddddbbbccccaddddddddddddddddddddddddddddddddddg acccg dddddfbbbdddddddddddddbbccccadddddddddddddddddddddddddddddddddddg cccc dddddebbbddddddddddddfacccceddddddddddddddddddddddddddddddddddddg gcccc ddddddbbbddddddddddddcccccedddddddddddddddddddddddddddddddddddddg dccca ddddddbbbdddddddddddcccccdddddddddddddddddddddddddddddddddddddddg ccccg ddddddbbbedddddddddcccccddddddddddddddddddddddddddddddddddddddddg cccc ddddddbbbfddddddddcccccbddddddddddddddddddddddddddddddddddddddddg gccca ddddddfbbbdddddddcccccbfddddddddddddddddddddddddddddddddddddddddg acccd ddddddfbbbdddddeccccabbdddddddddddddddddddddddddddddddddddddddddg cccc dddddddbbbddddaccccabbbdddddddddddddddddddddddddddddddddddddddddg cccc dddddddbbbdddaccccebbbbdddddddddddddddddddddddddddddddddddddddddg dccca dddddddbbbddcccccddbbbedddddddddddddddddddddddddddddddddddddddddg ccccg dddddddbbbfcccccdddbbbddddddddddddddddddddddddddddddddddddddddddg cccc dddddddbbbcccccdddfbbbddddddddddddddddddddddddddddddddddddddddddg gcccc dddddddfbcccccddddbbbfddddddddddddddddddddddddddddddddddddddddddg acccd dddddddeccccadddddbbbdddddddddddddddddddddddddddddddddddddddddddg cccc ddddddeccccadddddebbbdddddddddddddddddddddddddddddddddddddddddddg cccc dddddaccccbddddddfbbbdddddddddddddddddddddddddddddddddddddddddddg dccca ddddaccccbbedddddbbbfdddddddddddddddddddddddddddddddddddddddddddg acc dddcccccbbbfdddddbbbddddddddddddddddddddddddddddddddddddddddddddg a ddcccccdfbbbddddfbbbddddddddddddddddddddddddddddddddddddddddddddg ddccccddfbbbddddbbbbddddddddddddddddddddddddddddddddddddddddddddg ddeccddddbbbddddbbbeddddddddddddddddddddddddddddddddddddddddddddg dddedddddbbbddddbbbdddddddddddddddddddddddddddddddddddddddddddddg dddddddddbbbdddfbbbdddddddddddddddddddddddddddddddddddddddddddddg dddddddddbbbfddbbbfdddddddddddddddddddddddddddddddddddddddddddddg dddddddddbbbfddbbbddddddddddddddddddddddddddddddddddddddddddddddg dddddddddfbbbdebbbddddddddddddddddddddddddddddddddddddddddddddddg dddddddddebbbdbbbbddddddddddddddddddddddddddddddddddddddddddddddg ddddddddddbbbdbbbfddddddddddddddddddddddddddddddddddddddddddddddg ddddddddddbbbdbbbdddddddddddddddddddddddddddddddddddddddddddddddg ddddddddddbbbbbbbdddddddddddddddddddddddddddddddddddddddddddddddg eeeeeeeeeebbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fbbbbbg dbbbbb gbbbbb bbbbd bbbb bbbb fbbf gbb ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7cfb62ff b,#69668eff c,#45fe1dff d,#bdbccdff e,#bdffafff f,#9290adff g,#e1ebe3ff ``` ```image dbbbbbd gfbbbbbbbbbbbbd fbbbbb gfbbbbbbbbbbbbd bbbbbb gbbbbbbbbbbbbd bbbbbb dbbbbbbbbbbbbfg bbbbbb dbbbbbbbbbbbbg bbbbbf dfbbbbbbbbbbbfg dbbbbbd dfbbbbbbbbbbbfg fbbbbbg gfbbbbbbbbbbbf bbbbbb fbbbbbbbbbbbbfb dbbbbbd gfbbbbbbbbbb fbbbbb gbbbbbbbbb bbbbbf dbbbbbbb gbbbbbd dbbbbb dbbbbbg eg dfff gbbbbbf acccca dbbbbbd acccccce gdg fbbbbbg gccccccccg dfbbbf bbbbbf gccccccccca fbbbbb gbbbbbd gccccccccccca dbbbbb dbbbbbg eccccccccccccce gbbbbbd bbbbbf acccccccceecccccca bbbbbd dbbbbbd cccccccce acccccc bbbbbf fbbbbbg acccccccg ccccccg fbbbbf bbbbbb gacccccccg cccccca fbbbbb bbbbbb gcccccccca ecccccca dbbbbbg bbbbbb ecccccccca acccccce gbbbbbd bbbbbf eccccccce ecccccca bbbbbf gbbbbbd accccccce acccccce bbbbbf dbbbbbg acccccccg accccccg bbbbbb fbbbbb gacccccccc gccccccc bbbbbb bbbbbf gcccccccca ecccccc bbbbbb dbbbbbd cccccccca cccccce bbbbbb bbbbbf eccccccce ecccccca bbbbbb gbbbbbd acccccccc ecccccce fbbbbb dbbbbbg acccccccce acccccc fbbbbb fbbbbb accccccccg gcccccc dbbbbbg bbbbbf acccccccag eccccc gbbbbbd gbbbbbd gccccccca acccc bbbbbf fbbbbb ecccccccc gccc fbbbbf gbbbbbf ecccccccce ccc fbbbbb dbbbbbd acccccccce acc dbbbbb fbbbbb accccccccg gcc dbbbbbg bbbbbf ccccccccg ec bbbbbd dbbbbbg gcccccccc bbbbbf fbbbbb ecccccccca fbbbbf bbbbbb ecccccccce fbbbbb bbbbbb acccccccce dbbbbbg bbbbbb cccccccce gbbbbbd bbbbbb acccccccg bbbbbf dbbbbbd gcccccccca fbbbbf fbbbbb ecccccccca fbbbbb bbbbbf ecccccccce dbbbbb gbbbbbd cccccccce dbbbbbg dbbbbbgaccccccce gbbbbbd fbbbbbacccccccg bbbbbf dbbbbcccccccca fbbbbb fbbbcccccccca dbbbbb bbbcccccccca dbbbbbg gbbbccccccce gbbbbbd dbaccccccce gbbbbbd fccccccccc fbbbbf gccccccccag fbbbbb cccccccca dbbbbbg eccccccca dbbbbbg eccccccca gbbbbbd eccccccccd bbbbbd accccccccb bbbbbb accccccccbbb bbbbbb gccccccccbbbb bbbbbb gccccccccbbbbb bbbbbb eccccccccbbbbbf bbbbbb eccccccccabbbbbd fbbbbb cccccccce bbbbbb fbbbbb acccccccg gbbbbbf dbbbbbg gaccccccag dbbbbbd dbbbbbg gcccccccc fbbbbb gbbbbbdecccccccca bbbbbf bbbbbacccccccce gbbbbbd fbbbaccccccce fbbbbb dbbccccccccg gbbbbbf dbccccccccc dbbbbbd dcccccccca fbbbbbg gcccccccca bbbbbf cccccccca gbbbbbd acccccccbb fbbbbb accccccccbbg bbbbbf accccccccbbbg dbbbbbd gaccccccccbbbbd fbbbbbg ccccccccabbbbbd bbbbbb eccccccca bbbbbf bbbbbb ecccccccc dbbbbb bbbbbb gccccccce dbbbbbg bbbbbf gcccccg gbbbbbd gbbbbbd ecccg bbbbbd dbbbbbg ca bbbbbf fbbbbb e fbbbbf bbbbbf dbbbbbg fbbbbbg dbbbbbg bbbbbf gbbbbbd gbbbbbf bbbbbf dbbbbbg fbbbbf fbbbbb dbbbbb gbbbbbd dbbbbbg dbbbbbg gbbbbbd fbbbbb bbbbbdgbbbbbf bbbbbfdbbbbbd bbbbbffbbbbbg bbbbbbbbbbbd bbbbbbbbbbbg bbbbbbbbbbb ``` <!-- end of image --> There is 2 intersections point visible in this close-up of area A. Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7dfc63ff b,#69668eff c,#45fe1dff d,#b4b3c6ff e,#c1fdb5ff f,#8a87a6ff g,#e0e6e4ff ``` ```image d bbbbg bbbbbbg dbbbbbbbbd bbbfbbbbbbbd bbbg bbbbbbbd bbb fbbbbbbf dbbb fbbbbbbf bbbd fbbbbbbf bbb dbbbbbbb gbbb dbbbbbbbg fbbb dbbbbbbbg bbbd gbbbbbbbg ggdddffbb bbb gbbbbbbbfbbbbbbbbbbbbbbbbbbbbb dbbb gbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbf bbbbbbbbbbbbbbbbbbbbbffdd bbbg e dfdddgg gbbb ccc g fbbb ccccc bbb bbbd ecccccca bbbg bbb ecccccccc bbbd gbbb acccce cccc fbbf fbbb accccg gccca dbbb bbbg ccccc accce gbbb bbb ccccc cccc bbb dbbb ccccc cccc bbb bbbf gcccca eccca bbbd bbbg ecccca ccccg bbbf gbbb acccce cccc dbbb fbbb accccg gcccc gbbb bbbd ccccc accce bbb bbb ccccc cccc bbb dbbb ccccc cccc bbbg bbbf ccccc eccca bbbd bbbg ecccca acccg fbbf bbb ecccce cccc dbbb dbbb acccce cccc gbbb bbbd accccg accce bbb bbb ccccc cccc bbb gbbb ccccc cccc bbbd fbbbccccc eccca fbbf bbbcccca accce dbbb bbcccca cccc gbbb dacccce cccc bbb cccccg eccca bbb ccccc cccc bbbg ccccc cccc bbbd cccccb gcccc fbbf cccccbd accce dbbb ecccccbb cccc gbbb eccccabbb cccc bbb accccebbbf eccca bbbg accccg bbbg ccccg bbbdccccc bbb cccc fbbccccc dbbb gcccc dbccccc bbbf accce ecccca bbbg cccc ecccca gbbb cccc accccb fbbb eccca accccbbg bbbd acc cccccbbbd bbb a ccccc fbbf dbbb gcccc dbbb bbbf ecc bbb bbbg e bbb bbb bbbg dbbb bbbd bbbd fbbf bbb dbbb gbbb gbbb fbbb bbb bbbd bbb bbb bbbfbbb bbbbbbf fbbbbbg dbbbbb bbbbb bbbbd bbbb bbbb fbbf gbb ``` <!-- end of image -->
[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#8ec258ff b,#316dd2ff c,#72b221ff d,#b1d7b1ff e,#99ca95ff f,#6e9dceff g,#eaf3edff ``` ```image gggggggggggggggggggggggg edddddddddddddddddddddddeg gaa eddddddddddddddddddddddddg dcccca eddddddddddddddddddddddddg accccgccg eddddddddddddddddddddddddg dcccca gcc eddddddddddddddddddddddddg accccd ecc eddddddddddddddddddddddddg gcccca cca eddddddddddddddddddddddddgeccccd ccg edddddddddddddddddddddddcccccg gcc bedddddddddddddddddddacccce ecc gbbbbdddddddddddddddccccceg cca ebbbbbfdddddddddeccccadddg ccd eddebbbbbfddddaccccedddddg gcc edddddfbbbbbccccaddddddddg dcc eddddddddaccccfddddddddddg cca edddddecccccfbbbbbdddddddg ccd edddaccccadddddbbbbbfddddg gcc edcccccedddddddddebbbbbfdg dcc dccccadddddddddddddddfbbbbbg ggacagggggggggggggggggg cceddddddddddddddddddddfbbbbbg edddccaddddddddddddddddeg eddddddddddddddddddddddddgfbbbbf eddddccdddddddddddddddddg eddddddddddddddddddddddddg gbbbbbf eddddeccddddddddddddddddg g eddddddddddddddddddddddddg gbbbbbd edddddcccdddddddddddddddg gbb eddddddddddddddddddddddddg fbbbbbg eddddddccaddddddddddddddg fbg eddddddddddddddddddddddddg fbbbbbg edddddddccddddddddddddddg bb eddddddddddddddddddddddddg gfbbbbf edddddddacadddddddddddddg gbb eddddddddddddddddddddddddg gbbbbbf eddddddddccdddddddddddddg fbg eddddddddddddddddddddddddg gbbbbbfdddddddccdddddddddddddg bb deeeeeeeeeeeeeeeeeeeeeeee fbbbbbeddddacaddddddddddddg gbb efbbbbbdddccddddddddddddg fbg edddbbbbbfccddddddddddddg bb eddddddbbbbccdddddddddddg bb eddddddddfbccbbfddddddddgfbg eddddddddddacbbbbbedddddgbb edddddddddddccdfbbbbbdddgbb edddddddddddccddddbbbbbffbd edddddddddddacadddddebbbbb eddddddddddddccddddddddfbb eddddddddddddccdddddddddg eddddddddddddecaddddddddg edddddddddddddccddddddddg edddddddddddddccedddddddg edddddddddddddeccdddddddg eddddddddddddddccdddddddg eddddddddddddddaceddddddg edddddddddddddddccddddddg deeeeeeeeeeeeeeecceeeeee ece cc cc dca cc acg gcc cc acd cc cc dce cc ccg gca cc acg gcc cc ecd cc cc dca cc ccg gca cc acd cc cc ece cc cc dca e ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8fc058ff b,#2f6cd3ff c,#72b221ff d,#9ab8e9ff e,#bad995ff f,#5c8cd5ff g,#dde9e3ff ``` ```image ge gacc bdg eacccc bbbfdg gaccccccc bbbbbbfd eacccccccce bbbbbbbbbfd geccccccccae gdfbbbbbbbbbfg eaccccccccag gdbbbbbbbbbbdg geccccccccae gdbbbbbbbbbfdg eaccccccccag dfbbbbbbbbbfd geccccccccceg dfbbbbbbbbbaccccccccae gdfbbbfccccccccceg gacccccccccfdg eaccccccccabbbbbfdg geccccccccaefbbbbbbbbbfd eaccccccccag dfbbbbbbbbbfd geccccccccceg gdfbbbbbbbbbdg gaccccccccag gdbbbbbbbbbbdg geccccccccceg gfbbbbbbbbbfdg gaccccccccae dfbbbbbbbbb cccccccceg dfbbbbbb cccccae gdfbbb cccag gdb ae ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Onward to the next region of interest. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#91c15dff b,#306cd3ff c,#72b222ff d,#adc5ecff e,#c1dd9eff f,#6d97e0ff g,#e3ede4ff ``` ```image accca gcccca ecccce accccg accca gcccca ecccce eccccg acccc gcccca ecccce eccccg accca gcccc accce gccca ccccg g eccce bfd gcccc bbbbfd acccg bbbbbbbfd eccca bbbbbbbbbbfg gcccc dfbbbbbbbbbfdg accce dfbbbbbbbbbfd eccca dfbbbbbbbbbfdccccg gdbbbbbbbbbaccce gfbbbbbbbccccg dfbbbbccccbfdg dfbacccabbbfd dccccbbbbbbfd acccbbbbbbbbbfg ecccafbbbbbbbbbbdg cccc dfbbbbbbbbbfdg accce dfbbbbbbbbbfd eccca gdfbbbbbbbbb ccccg gdbbbbbbb eccce gfbbbb gccca dfb acccg eccce gcccc accce eccca cccc accce gccca ccccg eccce gcccc acccg eccca gcccc accce eccca ccccg ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#98c65fff b,#306cd3ff c,#73b222ff d,#b3c9efff e,#c3dda0ff f,#6894dcff g,#e3ede6ff ``` ```image cc ecccca accccgccg ecccca gcc acccce acc gcccca cca ecccce ccg gcccccg gcc bg ecccce ecc gbbbfg accccg cca gfbbbbf ecccca cce dbbbbbd acccce gcc dbbbbbcccca ecc accccfg cca gccccafbbbbf cce ecccce gfbbbbf cc gcccccg dbbbbbd ecc gcccca dbbbbbd aca ccg fbbbbbg cce fbbbbf cc gbbbbbf ecc g dbbbbbd acc gbb dbbbbbd cce fbg fbbbbbg cc bb fbbbbf ace gbb gbbbbbf cc fbd dbbbbbd cc bb dbbbbbd eca bb fbbbbfg cc fbd fbbbbfccg bb gbbbbcc bb dbccbbd fbd acbbbbbd bb cc fbbbbfg bb cc gfbbbbffbd ace gbbbbb cc dbf cc eca cc ccg gcc cc ace cc cc ece cc cc eca cc acg gcc cc ace cc cc eca cc ccg gca cc acg gcc cc ace cc cc eca cc ccg gcc cc ace cc cc ece cc cc eca a ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#dd47c3ff b,#e94e0fff c,#f4bfceff d,#e1885cff e,#da7fc9ff f,#b1d7b1ff g,#98c895ff ``` ```image dd bbbc bbb cbbb bbbd bbbc bbb dbbb bbbd bbb cbbb bbbd bbbc bbb dbbb bbbd bbb cbbb dbbb bbbc bbb cbbb bbbd bbb bbb dbbb bbbc bbb cbbb fgggggggggggggggggggggggggggggggggggggggggggggggggf bbbd gfffffffffffffffffffffffffffffffffffffffffffffffffg bbbc gfffffffffffffffffffffffffffffffffffffffffffffffffg bbb gfffffffffffffffffffffffffffffffffffffffffffffffffg dbbb gfffffffffffffffffffffffffffffffffffffffffffffffffg bbbd gfffffffffffffffffffffffffffffffffffffffffffffffffg bbb gfffffffffffffffffffffffffffffffffffffffffffffffffg cbbb gfffffffffffffffffffffffffffffffffffffffffffffffffg dbbb gfffffffffffffffffffffffffffffffffffffffffffffffffg bbbc gfffffffffffffffffffffffffffffffffffffffffffffffffg bbb c gfffffffffffffffffffffffffffffffffffffffffffffffffgdbbb bbbbbbbbbbddcc gffffffffffffffffffffffffffffffffffaafffffffffffffgbbbd bbbbbbbbbbbbbbbbbbbbbbbdddgfffffffffffffffffffffeaaaaaaffffffffffffgbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddgffffeaaaaaaaaaaefffffffffffgbbb ccddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaafffffffffffdbbb gffgdddbbbbbbbbbbbbaaaaaaaaaaaaabbbbaaaabbbbbdddgfbbbc gffffffffffffffeaaaaaaaaaaaadbbbbbbbbaaaabbbbbbbbbbbb gffffffffffeaaaaaaaaaaaaeffffgdddbbbbdaaabbbbbbbbbbbb gffffffeaaaaaaaaaaaaefffffffffffffffffaaaagdddbbbbbbc gffffaaaaaaaaaaaeffffffffffffffffffffffaaaafffffffg gfffeaaaaaaaefffffffffffffffffffffffffffaaaeffffffg gfffaaaaefffffffffffffffffffffffffffffffaaaaffffffg gfffaaaefffffffffffffffffffffffffffffffffaaaafffffg gfffaaaeffffffffffffffffffffffffffffffffffaaaaffffg gfffaaafffffffffffffffffffffffffffffffffffeaaaffffg gfffaaaffffffffffffffffffffffffffffffffffffaaaafffg gfffaaafffffffffffffffffffffffffffffffffffffaaaaffg gfffaaaffffffffffffffffffffffffffffffffffffffaaaefg gfffaaaffffffffffffffffffffffffffffffffffffffaaaafg gfffaaafffffffffffffffffffffffffffffffffffffffaaaag gfffaaaffffffffffffffffffffffffffffffffffffffffaaaa gfffaaaffffffffffffffffffffffffffffffffffffffffeaaac aaa aaaa aaa aaaa aaa caaac caaa aaaa caaa aaaa caaa aaae eaae eaaa eaae aaaa eaae aaaa aaac caaac eaaac aaaa eaaaaaac aaaa caaaaaaaae aaae caaaaaaaaac eaaa eaaaaaaaac aaaa eaaaaaaaae aaaa caaaaaaaae caaac aaaaaaaaac aaaa aaaaaac aaaa eaae caaae eaa e ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#de47c3ff b,#e94e0fff c,#f6b89fff d,#f0855aff e,#ea8edaff f,#f7d1e5ff g,#e44c64ff ``` ```image feaaae ddcccfff feaaaaaaaae bbbbbbbbbbbddddcccff feeaaaaaaaaaaaaf bbbbbbbbbbbbbbbbbbbbbbbbddddcccff feeaaaaaaaaaaaaaaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddcccff feeaaaaaaaaaaaaaaaaaaaaae bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggaaaaaaaaaaaaaaaaaaaaaaaaaaaf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggaaaaaaaaaaaaaaaaaaaaaaaaggbbaaaaaaaaccccff ffcccddddbbbbbbbbbbbbbbbbbbbbbbbggaaaaaaaaaaaaaaaaaaaaaaaaggbbbbbbgaaaaaaagbbbbbbbbddddccccff c fffcccddddbbbbbbggaaaaaaaaaaaaaaaaaaaaaaaaggbbbbbbbbbbbgaaaaaaabbbbbbbbbbbbbbbbbbbb feaaaaaaaaaaaaaaaaaaaaaaaaggbbbbbbbbbbbbbbbbaaaaaaaabbbbbbbbbbbbbbbbbbb feaaaaaaaaaaaaaaaaaaaaaaaaaggbbbbbbbbbbbbbbbbbbbbaaaaaaagbbbbbbbbbbbbbbbbbb feeaaaaaaaaaaaaaaaaaaaaaaaeff ffccccddddbbbbbbbbgaaaaaaagbbbbbbbbbbbbbbbbb feeaaaaaaaaaaaaaaaaaaaaaaaeef ffccccaaaaaaaabbbbbbbbbbbbbbbbb feeaaaaaaaaaaaaaaaaaaaaaaaeef faaaaaaaaccccddddbbbbbbbb feaaaaaaaaaaaaaaaaaaaaaaaeef faaaaaaae ffccc aaaaaaaaaaaaaaaaaaaaaaeef eaaaaaaaf eaaaaaaaaaaaaaaaaaaaef aaaaaaaa eaaaaaaaaaaaaaaaef faaaaaaae aaaaaaaaaaaaef eaaaaaaaf aaaaaaaaef aaaaaaaa aaaaaae faaaaaaae aaaaaae faaaaaaae aaaaaaf eaaaaaaaf aaaaaaf aaaaaaaa aaaaaaf faaaaaaae faaaaaaf eaaaaaaaf faaaaaaf aaaaaaaa faaaaaaf faaaaaaae faaaaaa eaaaaaaaf faaaaaa eaaaaaaaf eaaaaaa aaaaaaaa eaaaaaa faaaaaaae eaaaaaa eaaaaaaaf eaaaaaa aaaaaaaa eaaaaae faaaaaaae eaaaaae eaaaaaaaf eaaaaae eaaaaaaa eaaaaae aaaaaaa aaaaaae faaaaaa aaaaaae eaaaaa ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#de47c3ff b,#ea4e0eff c,#f7c1abff d,#ec6d44ff e,#eb93dcff f,#f8dae8ff g,#f29874ff ``` ```image dgf bbbc bbb cbbb bbbd bbbf fbbb gbbb bbbg bbb cbbb dbbd bbbf bbb gbbb bbbg bbb fbbb dbbd bbbc bbb cbbb bbbg bbbf fbbb gbbb bbbc bbb cbbb bbbd bbbf bbb gbbb bbbg bbb cbbb dbbd bbbc bbb cf gbbb bbbbbbbbbddgccf faa bbbg bbbbbbbbbbbbbbbbbbbbbbddgccf feaaaaaa bbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddgcff feaaaaaaaaaae fbbb ffcgddbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaaaaaaaaaf dbbb fccgddbbbbbbbbbbbaaaaaaaaaaaaadbbbaaaabbbbdggcf bbbc eaaaaaaaaaaaadbbbbbbbbaaaabbbbbbbbbbbb eaaaaaaaaaaaae fccgdbbbbdaaadbbbbbbbbbbb eaaaaaaaaaaaae aaaaccgdbbbbbbc aaaaaaaaaaae aaaa eaaaaaaae faaae aaaaef aaaa aaae aaaa aaaf aaaa aaaf eaaaf aaaf aaaa aaa aaaa aaa faaae aaa aaaa aaa aaaa aaa faaaa aaa eaaaf aaa aaaa aaa aaaa faaa faaae faaa aaaa eaaa aaaa eaaa faaae eaaa eaaaf eaae aaaa aaae aaaa aaae eaaae eaaae aaaa eaaaaaaf aaaa eaaaaaaaaa faaae faaaaaaaaaf eaaaf faaaaaaaaae aaaa eaaaaaaaae aaaa eaaaaaaaaaf eaaaf aaaaaaaaaf aaaa aaaaaae aaaa eaae faaae aaa e ``` <!-- end of image -->
[ "" ]
I'm ready to tackle this image and find those intersections! I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8c785bff b,#73492cff c,#9b9a2dff d,#b1d7b1ff e,#e8e3d9ff f,#a9a376ff g,#9ac794ff ``` ```image ae ebb bbb bbbf fbebb bb fbe ebf ba bb bb ba dbe fb bb bb ab gggggggggggggfbaggggggbaggggggggggggggg dddddddddddddbbdddddddbbddddddddddddddd dddddddddddddbadddddddabddddddddddddddd ddddddddddddabdddddddddbadddddddddddddd ddddddddddddbbdddddddddbbdddddddddddddd dddddddddddfbfdddddddddfbgddddddddddddd dddddddddddbbdddddddddddbbddddddddddddd dddddddddddbadddddddddddbbddddddddddddd ddddddddddabddddddddddddgbfdddddddddddd ddddddddddbbdddddddddddddbbdddddddddddd dddddddddfbgdddddddddddddabdddddddddddd dddddddddbbdddddddddddddddbaddddggddddd dddddddddbadddddddddddddddbbcccccccfddd ddddddddbbddddddddddddfccccccccfdgccccg ddddddddbbddddddgfccccccccfbadddddddcccce dddddddfbgdgfccccccccgdddddbbdddddddddfcccf ddddddgccccccccfgddddddddddfbgddddddddd dcccc dddcccccccfgddddddddddddddddbbddddddddd ecccce dddccfbbddddddddddddddddddddbbddddddddd fcccg ddddddbbddddddddddddddddddddgbfdddddddd dcccf dddddabgdddddddddddddddddddddbbdddddddd ecccce dddddbbddddddddddddddddddddddabdddddddd fcccd ddddgbfdddddddddddddddddddddddbaddddddd dcccf ddddbbddddddddddddddddddddddddbbddddddd ecccce ddddbbddddddddddddddddddddddddabddddddd fcccd dddabddddddddddddddddddddddddddbadddddd dcccf dddbbddddddddddddddddddddddddddbbdddddd ecccce ddgbfddddddddddddddddddddddddddfbgddddd fcccd ddddddddddddddddddddddddddddddddbbddddd dcccf ddddddddddddddddddddddddddddddddbbddddd ecccce gggggggggggggggggggggggggggggggggbagggg fcccd bb gcccf abb ecccce abbe cccf ebbf f bbb abbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bba f ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8d6b52ff b,#72482bff c,#9b992cff d,#cbc1a5ff e,#e5e1d3ff f,#ac9382ff g,#b5b465ff ``` ```image ebbbd ebbbd fbbb abba bbbf dbbbe dbbbe bbbf abba fbbb ebbbd dbbbd fbbb bbbf ebbbf fbbb fbbbe ebbbd abba abba dbbbd dbbbe abbb ebbbf ebbbf abba fbbbe dbbbe bbba bbbf dbbbd fbbb abba ebbbd ebbbf abba fbbbe fbbb bbbf ebbbd dbbbe abba abba dbbbe ebbbd bbbf eede fbbb abba eddgccccccd bbbf dbbbggcccccccccccccge dbbbe edggccccccccccccccccccccge abba eedgcccccccccccccccgde egcccccccd ebbbd eedgcccccccccccccccgde egccccccc fbbb eddgccccccccccccccggdabba dccccc bbbf edggccccccccccccccgdde fbbbe dgcc dbbbe edggccccccccccccccgdee ebbbd eg abbadgcccccccccccccccgde abba eegcccccccccccccccggde dbbbe eddgccccccccccccccggde bbbf ccccccccccccccgdde fbbb gcccccccccade dbbbd gcccgdeabba bbbf ee dbbbd fbbb abbb ebbbd ebbbf abba fbbbe fbbbe bbba ebbbf dbbbd abba abba dbbbe ebbbf bbbf fbbbe fbbb bbbf ebbbd dbbbe bbbf abba fbbb ebbbd ebbbd fbbb abba bbbf dbbbe dbbbe ebbbf abba abba ebbbd dbbbe da bbbf fbbb ebbbd abba fbbbe ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#95755fff b,#73492cff c,#9b992cff d,#cdc8a1ff e,#e7e2d7ff f,#b09888ff g,#b3b260ff ``` ```image ae ebb bbb bbbf fbebb bb fbe ebf ba bb bb ba dbe fb bb bb ab ebd ebf bb bb ba ab ab ba bb bb dbd fbe bb ba ba bb ab ebd bb bb dbe ab bb ebf de bf bbgccccccg ab edcccccccgd dcccc bb edcccccccgdba cccce fbe egcccccccgd bb gcccd dccccccccge dbe dcccg cccccccde bb ecccce ccdbb bb gcccd bb ebd dcccg fbe bb ecccce bb ab gcccd ebf bf dcccg bb bb ecccce ba fb gcccd fb ba dcccg bb bb ecccce ebd dbe gcccd bb dcccg bb ecccce ebd gcccd bb dcccg abb ecccce abbe gccg ebbf d bbb abbe ebbf bbb abbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebbf bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bbb fbbe ebba bba f ``` <!-- end of image -->
[ "" ]
Time to put on my detective hat and find those intersection points! I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#8fcf96ff b,#62e2b0ff c,#19b42eff d,#1fdd9aff e,#e8f6ecff f,#b0d7b1ff g,#51c360ff ``` ```image ce cf fga c g c c eeeeefgeceeeeeeeee eaffffcafcfffffffff e efffffcffcfffffffff dd effffagffgfffffffff dbb effffgaffgaffffffff be de effffcfffagfffdffff d d effffcffffcfffdffff eb ed efffgaffffcfffdffff d bb efffcfffffcfffdffff d de efffcfffffcfffdffff be d effgafffffcffabffff d fadaaaaaaaaaaaaaaaaaaaaa effcffffffgffbbffff eb afdbffffffffffffffffffffe effcffffffgafbaffff d affdffffffffffffffffffffe efggffffffagfdfffff d afffdfffffffffffffffffffe efcffffffffcfdfffff bf afffbdffffffffffffffffffe efcffffffffcfdfffff d affffdafffffffffffffffffe fg eagffffffffcfdfffff eb afffffdfffffffffffffffffe egccac ecfffffffffcfdfffff d affffffdffffffffffffffffe accgf ge ecfffffffffcfdfffff affffffbbfffffffffffffffe egcca fa fgfffffffffcfdfffff afffffffdaffffffffffffffe accge c cafffffffffgabfffff affffffffdffffffffffffacccf c cffffffffffagbfffff affffffffadfffffffagccgfe c egfffffffffffcafffff afffffffffbbfffgccgaffffe g gefffffffffffcffffff affffffffffdcccgffffffffe af cefffffffffffcffffff afffffffgccgdfffffffffffe eg ecefffffffffffcffffff afffacccafffadffffffffffe c gfefffffffffffcffffff agccgffffffffdbfffffffffe c c efffffffffffcffffff ccgaffffffffffffdfffffffffe c c efffffffffffcafffff fa affffffffffffffdffffffffe af af efffffffffffdgfffff ge affffffffffffffbdfffffffe eg c efffffffffffdgfffff c afffffffffffffffdaffffffe c c effffffffffabcfffff c affffffffffffffffdffffffe c aa effffffffffbbcfffff c afffffffffffffffffdfffffe c c effffffffffbfcfffff eg afffffffffffffffffbbffffe ge c effffffffffdfcfffff af affffffffffffffffffdafffe fa fa effffffffffdfcfffff c afffffffffffffffffffdfffe c c effffffffffdfgaffff c afffffffffffffffffffadffe c c effffffffffdfagffff c affffffffffffffffffffbbae c eg effffffffffdffgffff eg eeeeeeeeeeeeeeeeeeeeede ge ge effffffffffdffcffff af d fa c effffffffffdffcffff c ed geg efffffffffabffcffff c bf cge efffffffffbbffgffff c d cc efffffffffbafffffff eg d cc efffffffffdffffffff af fb fe efffffffffdffffffff g de efffffffffdffffffff c d efffffffffdffffffff c ed efffffffffdffffffff c bb efffffffffdffffffff fa de efffffffffdffffffff ge d efffffffffbffffffff c ed effffffffabffffffff c bb effffffffbaffffffff c de aaaaaaaadaaaaaaaaa fa d d ge ed d c bf d c dddddbfe d c efbdddddbbee d eg ebbdddddbf d af efb b c d eb c d ff c d be eg d b af bed c ebd c dd c dd eg dd af dd g bb a ff ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#89d894ff b,#64e8baff c,#19b42dff d,#21de9cff e,#daf7e9ff f,#adeecfff g,#4fc763ff ``` ```image edde fdd bdb bdf edde fdd bdb ddf edde fdb bdb ddf edde fdb bdf edde fdd bdb bdf edde fdd bdb efa ddf fagccc edde eagccccgaf fdb fagccccgfe bdb eagccccgae ddf efgcccccaf edggccccgae eagccccgaf facccccggdf eagccccgae edde efgccccgaf fdd fagccccgae bdb eagccccgaf bdf ccccafe edde gae fdd bdb ddf edde fdb bdb ddf edde fdb bdf edde fdd bdb bdf edde fdd bdb ddf edde fdb bdb ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Hmm, interesting. Let's check out another area. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#82d68eff b,#62e8b9ff c,#17b42dff d,#1dde9aff e,#d3f4e2ff f,#a4eac4ff g,#4ac55dff ``` ```image ecg acf acf fca cc eca ecg ecg acf cg gce gc ecg gc aca ace gce acf ecg fca edb fca eca edb gce ecg fdf cg cg fdf fca cc fde gce gc bde cc ace bd fca acf bd acf fca dd cc fca db ecg ecg edb acf cg edb gc cc edf ecg gc fdf acf ace fde gce acf bde ecg fca bde aca fca bd gce ecg dd ecg cg dd fca cc db gce gc edb cg gce edb fca acf fdf gce fcf fdf cc fca bde fca ecg bde acf cg bd cc cc dd cg gc dd cf gcedb c acfdb g fcadb f fcadf e ecgdf cgde ccde gcd gcd acd acg fcg fcg fcg fcc fcc bcce bcce bgcf ddca ddca dbcg edbcg edbgc fdfgce fdface bdeacf bdefca bd eca dd ecg dd cg db gc edb gce edb ace edf acf fdf fca fde eca bde ecg bde cg bd gc dd gce db ace db acf edb fca edf eca fdf ega fdf bde bde bd dd dd db edb edb fdf fdf fde bde bd bd dd db edb edb edf fdf fde bde ``` <!-- end of image --> Area B contains 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#75d282ff b,#5fe7b8ff c,#16b32bff d,#1ede9bff e,#cef4e0ff f,#a1e8bdff g,#43c255ff ``` ```image ce cf fga c g c c ea c g c e c c dd eg g dbb ge af be de c ea d d d g g d eb ed ae c d d bf c c d d d c c b be d af c eb d ed c g ff eb bf c af be d d ff fa b d d c g d be fb c c d d de fg fa c d eb d accac c c d d d fccge ge c c d bb egccf fa ea g d de accae g g afb d fgcgf c c faf ed eacca c eg ge bf fccge g ge c dgccf ff c c accad g g c fccgf ed c ae c egcca bf c c c ccge d c c ge fa d af af da ae fb ea c bg c de c c ebc c d c ff ffc c d c c bec ea fb ae c d c ae de fa fa d g c d c c d ae c ed c c d fa c bb c ea d eg eg d g g d c af d ff c b c c ed geg eb c c bf cge ff g c d cc be g d gg b ff fb fe d g de d c d d c d d g fb d fa de d g d b c ed ef c bb fe c de be fa d d ae ed d c bf d c dddddbfe d c efbdddddbfe d ea efbdddddbf d ae efb b c d eb c d ff c d be eg d b af fed c ebd c dd c dd g dd ff dd g bb f ef ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#747796ff b,#966158ff c,#b2d7b2ff d,#554c84ff e,#9f9e99ff f,#a3cda3ff g,#eef2eeff ``` ```image cg da edd gfffffffffffffffdddfffffffffff gfcccccccccccccadedccccccccccc gfcccccccccccccdafdccccccccccc gfccccccccccccedccdfcccccccccc gfccccccccccccddccdecccccccccc gfcccccccccccfdcccdacccccccccc gfcccccccccccddcccddcccccccccc gfccccccccccfdfcccadcccccccccc gfccccccccccddccccadcccccccccc gfccccccccccdeccccfdcccccbcccc gfcccccccccddccccccdccccebcccc gfcccccccccdeccccccdfcccbecccc gfccccccccadcccccccdeccbbccccc gfccccccccdacccccccdacbbcccccc gfcccccccadccccccccddfbecccccc gfcccccccdaccccccccadbbccccccc gfccccccedcccccccccedbcccccccc gfccccccddcccccccccedecccccccc gfcccccedccccccccccbdccccccccc gfcccccddcccccccccbbdecccccccc gfccccfdfccccccccebfdacccccccc gfccccddcccccccccbbcddcccccccc gfccccdfccccccccbbccddcccccccc gfcccddccccccccebfccadcccccccc gfcccdeccccccccbbcccedcccccccc gfccadccccccccbbcccccdcccccccc gfccdacccccccebccccccdfccccccc gfcadccccccccbeccccccdeccccccc gfcdacccccccbbcccccccdaccccccc gfddcccccccbbccccccccddccccccc cddcccccccfbeccccccccadccccccc eddccccccccbbcccccccccedccccccc adefcccccccbbccccccccccfdccccccc ddggfccccccfbecccccccccccdccccccc gddg gfccccccbbccccccccccccdecccccc gdd gfcccccbbcccccccccccccdacccccc eda gfccccebfcccccccccccccdacccccc ade gfccccbbccccccccccccccddcccccc ddg gfcccbbcccccccccccccccadcccccc gddg gfccebfcccccccccccccccedcccccc gdd gfccbbccccccccccccccccfdcccccc eda gffbbffffffffffffffffffdffffff ade gebgggggggggggggggggggdcggggg ggggggggggggggggggggggg ddg gbe de gfffffffffffffffffffffffg gddg bb da gfcccccccccccccccccccccfg gdd eb ad gfcccccccccccccccccccccfg eda gbc ed gfcccccccccccccccccccccfg ade bb gd beg gfcccccccccccccccccccccfg ddc bb d bbbbbbbcfcccccccccccccccccccccfgddg gbc dg cebbbcccccccccccccccccccccedd bb dc cbbcccccccccccccccccccada bb da gfbbcccccccccccccccccadag cbg dd gfcbbcccccccccccccccddefg be ad gfccbbfccccccccccccddfcfg bb cd gfcccbbecccccccccfddcccfg cbg gd gfccccbbeccccccceddccccfg be d gfcccccebbcccccadacccccfg bb dg gfccccccebbcccddeccccccfg ebg gfcccccccfbbcddfcccccccfg gbe gfcccccccccbddcccccccccfg bb gfcccccccceddbcccccccccfg eb gfcccccccadacbbfcccccccfg gbc gfccccccddecccbbeccccccfg bb gfcccccddfcccccbbecccccfg bb gfcccfddccccccccebbccccfg gbg gfcceddccccccccccebbcccfg bb gfcadaccccccccccccfbbccfg bb gfddecccccccccccccccbbcfg cbg gddfcccccccccccccccccbbfg be gddccccccccccccccccccccbbc bb cddfcccccccccccccccccccccbbc cbg adagfcccccccccccccccccccccfebe be ddc gfcccccccccccccccccccccfgcbbbb ddg gfcccccccccccccccccccccfg gbb gdd gfcccccccccccccccccccccfg gg dd gfcccccccccccccccccccccfg g gfcccccccccccccccccccccfg gfffffffffffffffffffffffg ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#8680a8ff b,#965f56ff c,#d4c9d0ff d,#564d85ff e,#ad827cff f,#b9aab6ff g,#ece7e9ff ``` ```image e beg g bbbg cd bbbbc fdd gbbbbc addd gebbbf gaddda ebbbf gddddf ebbbe cddddc fbbbeg fddddg cbbbeg adddag cbbbbg gaddda gbbbbc gddddf gebbbc cddddc gebbbf fddddg ebbbe adddag fbbbe gaddda fbbbeg gddddf cbbbbg cddddc cbbbbc fddddg gbbbbc adddag gebbbdddda ebddddf cdddde fddddbbeg adddafbbbeg gaddda cbbbbg gddddf gbbbbc cddddc gebbbc fddddg gebbbf adddag ebbbe gaddda fbbbe gddddf fbbbeg cddddc cbbbbg fddddg cbbbbc adddag gbbbbc gaddda gebbbf gddddf gebbbf cddddc ebbbe fddddc fbbbe adddag fbbbeg ddda cbbbb ddf cbbb dc gbb c ge ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! Hmm, interesting. Let's check out another area. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#746d9aff b,#965f57ff c,#c5bbc7ff d,#554c84ff e,#b48d86ff f,#9993b5ff g,#e4dfe5ff ``` ```image fdddddc dddfddc fddfcddf dddggdda cdda dda addc ddd cdda addg addc fddg cdda fddc addc cddf gddd cddf fddf gdda gdddg dda fddf add gdddg addg fddf fddc dddg fddc cdda cddf addc gddf gbc cdda gdda bbbc addc ddd ebbb cdda add gbbbg addc addg bbbe gddd fddc ebbb fddf cddc cbbbg gddd cddf bbbc fddf gdda ebbe gdddg dda cbbbg fddf ddd gbbbc dddg addgebbe cdda fddfbbbg dddg fddbbbc cdda cdddbe addc gdddb cdda cdddc addc bddd gddd ebddd addf gbbdddg gddd bbbaddc fddf ebbbfddc gdddg cbbbgcddf fddf gbbbc gdda dddg ebbe gdda fdda cbbbg ddd dddg gbbbc addg cdda ebbe fddg addc cbbbg fddc cdda gbbbc cddf addc ebbe cddf gdda cbbb gdda addc gbbbc dda gddd bbbe ddd fddf ebbb addg gdddg gbbbg fddc fddf bbbe fddc gdddg ebbb cddf fddf cbbbg gddf fdddg gbbbc gdda adddf ebbe ddd gadddf cbbbg add ddddc gbbbc addg dddg ebbe fddc dag cbbbg cddc f gbbbc cddf ebbe gdda cbbb dda gbbbc ddd bbbe addg ebbb fddg gbbbg fddc bbbe cddf ebbe cddf cbbbg gdda gbbbc ddd ebbe add cbbbg addg gbbbc fddc ebbe fddc cbbbg cddf gbbbc gddf ebbe gdda cbbb ddd gbbbc addg ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#746d9bff b,#965f56ff c,#c9bcc6ff d,#554c84ff e,#b58e88ff f,#9a95b6ff g,#e4dee3ff ``` ```image cg da fdd ddd fdcd da d cd dg da dc gd df dd da gdg ad dd fd dc gd b ad d eb dc dg be fd df bb df da eb fd ddgbc da fdbb cd cdb da cdc gd bd dd bbdc gdg cbgdf dd be da dg bb ad ad cbg fd dc be cd ad bb d df eb dg fd be dc df bb df dd eb dd cdd gbc ad fda bb cd adf eb gd ddg gbc d dd bb dg gdd bb df fda cbg da adf be ad ddg bb fd dd cbg cd gdd be gd fda bb d adf eb dc ddg be df dd bb da gdd eb ad fda gbc fd adf bb gd beg ddc eb d bbbbbbbc dd gbc dg cebbe gdd bb dc gbb fda bb da gbb adf cbg dd bb ddc be fd bbg dd bb cd bbc gdd cbg gd ebc fda be d ebe adf bb dg cbb ddc eb gbb ddg be bdd bb cddb eb adf bbg gbc ddc bbc bb ddg ebe eb gdd cbe gbg cdd gbb bb adf gbb bb ddc bb cbg ddg bbg be gdd bbg bb cdd ebc cbg ada ebe be ddc cbbbb ddg gbb gdd g dd g ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#9848ceff b,#a090f4ff c,#8008c9ff d,#d9cdf7ff e,#a4a5c5ff f,#b1d7b1ff g,#96c996ff ``` ```image ab dccc dd cccc dbbbd ccca bbbbbbb accc bbbbbbbbb cccc dbbbbbbbdbbb ccca dbbbbbbbd bbb bcccd bbbbbbbb bbb ccccgggggggggggggggggggf dbbbbbbbd bbbd gcccaffffffffffffffffffg dbbbbbbbd bbbd gecccefffffffffffffffffg bbbbbbbb dbbb gfccccfffffffffffffffffg bbbbbbbb dbbb gffccccffffffffffffffffg dbbbbbbbd bbb gffecccefffffffffffffffg dbbbbbbbd bbb gfffccccfffffffffffffffg bbbbbbbb bbb gffffccccffffffffffffffgbbbbbbbd bbb gffffecccefffffffffffebbbbbbbd bbbd gfffffacccfffffffffebbbbbbb bbbd gffffffccccffffffbbbbbbbb dbbb gfffffffcccafffbbbbbbbeg dbbb gfffffffacccebbbbbbbeffg bbb gffffffffcbbbbbbbbfffffg bbb gfffffffbbbbbbbbfffffffg bbb gffffebbbbbbbafffffffffg bbb gffebbbbbbbccccffffffffg bbbd gbbbbbbbbfffcccafffffffg bbbd dbbbbbbbefffffaccceffffffg dbbb dbbbbbbbeffffffffccccffffffg dbbb bbbbbbffffffffffffccccfffffg bbb bbbbgfffffffffffffeccceffffg bbb d gffffffffffffffccccffffg bbb acc gfffffffffffffffccccfffg bbb cccd gfffffffffffffffeccceffg bbbd accc gffffffffffffffffccccffg bbbd cccd gfffffffffffffffffccccfg dbbb accc gfffffffffffffffffecccag dbbb cccd gffffffffffffffffffacccg bbb cccc cccc bbb cccd ccca bbb cccc accc bbb cccd cccc bbbd cccc ccca bbbd ccc bcccd dbbb cccc cccc dbbb dcccd ccca gffffffffbbbfffffccccffg bcccd gffffffffbbbffffecccffff cccc gffffffffbbbffffccccffff cccc gffffffffbbbfffecccfffff dcccd gffffffffbbbeffccccfffff cccc gffffffffbbbefecccffffff cccc gffffffffebbbfcccaffffff dcccb gfffffffffbbbecccfffffff accc gfffffffffbbbcccafffffff cccc gfffffffffbbbcccffffffff dcccb gfffffffffbbbccaffffffff accc gfffffffffbbbccfffffffff cccc gfffffffffbbbaafffffffff ccca gfffffffffbbbaffffffffff bcccd gfffffffffabbbffffffffff cccc gffffffffacbbbffffffffff ccca gffffffffccbbbffffffffff bcccd gfffffffaccbbbffffffffff cccc gfffffffcccbbbffffffffff ccca gffffffacccbbbffffffffff dcccd gffffffcccebbbefffffffff cccc gfffffacccfbbbefffffffff cccc gfffffcccefebbbfffffffff dcccb gffffacccfffbbbfffffffff accc gffffcccefffbbbfffffffff cccc gfffacccffffbbbfffffffff dcccb gfffccceffffbbbbefffffff accc gffccccfffffebbbbbffffff cccc fggcccggggggggbbbbbegggg ccca cccc dbbbbb accc cccd bbbbbb cccc cccc dbbbbbd ccca cccd bbbbbb bccccccc dbbbbbd cccccc bbbb ccccc bb bccc aca ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#912dd1ff b,#9f90f4ff c,#8007c9ff d,#cbb9f5ff e,#a454daff f,#e7dcf8ff g,#c188e4ff ``` ```image fcccccccg gcccccccf acccccca fcccccccg gcccccccd ecccccca fccccccce dcccccccd ecccccca facccccce dcccccccd ecccccccf acccccce dcccccccg gcccccccf acccccce fd fcccccccg fbbb gcccccccf dbbbbb acccccca fdbbbbbbb fcccccccg fbbbbbbbbbb gcccccccf dbbbbbbbbbbbb ecccccca fdbbbbbbbbbbbbbb fcccccccg fdbbbbbbbbbbbbbbdf gcccccccd fbbbbbbbbbbbbbbbd eccccccadbbbbbbbbbbbbbbdf fccccaebbbbbbbbbbbbbbdf dcaebbbbbbbbbbbbbbd dbbbbbbbbbbbbbbbf dbbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbbdf fbbbbbbbbbbbbbbbeaf dbbbbbbbbbbbbbbbaccce fdbbbbbbbbbbbbbbbaccccccg fdbbbbbbbbbbbbbbd gcccccccf fbbbbbbbbbbbbbbbd acccccca dbbbbbbbbbbbbbbdf fcccccccg bbbbbbbbbbbbbdf gcccccccf bbbbbbbbbbbd acccccca bbbbbbbbbf fcccccccg bbbbbbdf gcccccccd bbbbdf ecccccca bbd fccccccce f dcccccccd ecccccca facccccce dcccccccd ecccccccf acccccce dcccccccg gcccccccf acccccce fcccccccg gcccccccf acccccca fcccccccg gcccccccf ecccccca ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Let's move forward and inspect another region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#9436d4ff b,#9f90f4ff c,#8007c9ff d,#d2bef4ff e,#a55fdeff f,#e7ddf9ff g,#bda2f1ff ``` ```image fbbbbbb fccccccc fbbbbbbf eccccccg bbbbbbf fccccccc bbbbbbd eccccccg gbbbbbd fcccccca dbbbbbg eccccccg dbbbbbg fcccccca fbbbbbb eccccccg fbbbbbb fcccccca bbbbbbf eccccccg bbbbbbf dcccccca bbbbbbd accccccd gbbbbbd dcccccca dbbbbbg accccccd dbbbbbg dcccccca fbbbbbb accccccd fbbbbbb dcccccca bbbbbbfaccccccd bbbbbbgcccccca bbbbbbeccccccd gbbbbbeccccce dbbbbbecccccf dbbbbbbcccce fbbbbbbccccf fbbbbbbccce bbbbbbaccf bbbbbbace bbbbbbacf bbbbbbee ebbbbbef gabbbbbb fcabbbbbb ecabbbbbb fcccbbbbbbf ecccbbbbbbf fccccbbbbbbd eccccebbbbbd fcccccebbbbbg ecccccabbbbbb fccccccabbbbbb eccccccgbbbbbb fccccccafbbbbbbf eccccccg bbbbbbf fcccccca gbbbbbd eccccccg gbbbbbd dcccccca dbbbbbg eccccccg dbbbbbb dcccccca fbbbbbb accccccd fbbbbbb dcccccca bbbbbbf accccccd bbbbbbf dcccccca gbbbbbd accccccd gbbbbbg dcccccca dbbbbbbgf accccccd dbbbbbbbbd gcccccca fbbbbbbbbbgf accccccd gbbbbbbbbbbd ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9535d3ff b,#9f90f4ff c,#8007c9ff d,#d1c0f5ff e,#af68deff f,#e9e1faff g,#b9a3f2ff ``` ```image ae fccc ff cccc dbbbd fccce gbbbbbb ecccf fbbbbbbbbb cccc dbbbbbbbdbbb ccca dbbbbbbbf bbb ecccf gbbbbbbg bbb cccc fbbbbbbbd bbbf ccca dbbbbbbbf gbbd gcccd gbbbbbbbf dbbg cccc bbbbbbbg fbbb ccca fbbbbbbbd bbb dcccd dbbbbbbbf bbb accc gbbbbbbb bbb cccc fbbbbbbbg bbb dcccg dbbbbbbbd bbbf accc gbbbbbbbf gbbd cccc bbbbbbbg dbbg fccce fbbbbbbbd fbbb ecccdbbbbbbbf bbb cebbbbbbb bbb fbbbbbbbg bbb fbbbbbbbaf bbb dbbbbbbbaccc bbbf gbbbbbbg ccca gbbd fbbbbbbbd gcccf dbbg dbbbbbbbd cccc fbbb bbbbbbf ccca bbb gbbg gcccd bbb f d cccc bbb acc cccc bbb cccd dcccg bbbf accc accc gbbd cccd cccc dbbg accc fccce fbbb cccd accc bbb accc cccc bbb cccf fccce bbb cccc ecccf bbb cccf cccc bbbf cccc ccca gbbd fcccf ecccf dbbg cccc cccc fbbb fccc ccca bbb cccc gcccd bbb fccc cccc bbb ccca ccca bbb dccc dcccd bbbf ccca accc gbbd dccc cccc dbbg ccca dcccg fbbbdccc accc bbbccca cccc bbbccc fccce bbbcce eccc bbbcc cccc bbbae fccce bbbe ecccf abbb cccc eabbb ccca ccbbb gcccf eccbbb cccc cccbbb ccca ecccbbbf gcccd cccgbbbf cccc eccc gbbd cccc cccg dbbb dcccg accc fbbb accc cccd bbb cccc accc bbb fccce cccd bbbbd accc accc gbbbbb cccc cccf fbbbbbg fccce accc gbbbbbf ecccf cccf bbbbbg cccc cccc dbbbbbf cccafcccf bbbbbb eccccccc fbbbbbd ccccccf gbbb ccccc fbg gccc aca ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#907378ff b,#36e8d3ff c,#a4cca2ff d,#78e6cfff e,#73213fff f,#e9f5f0ff g,#b1d7b2ff ``` ```image ee ceeef eeee ceeef eeee geeeg eeee feeec eeee feeea eeee bb eeea bbbb eeee bbbbd eeea fbbbbbf aeee bbbbbbbf eeee bbbdbbbb aeeef fbbb fbbbb eeee bbbb dbbbb ceeef bbbd bbbbd eeee fbbb bbbbf geeeg dbbb bbbbf eeee bbbd fbbbb feeeg fbbb dbbbb eeee dbbb dbbbb feeec bbbd bbbbd eeee bbb bbbbf feeea dbbb bbbb eeee bbbd fbbbb eeea bbbf dbbbb aeee dbbb dbbb feeeeffffffffffbbbdfffffffffffffffffbbbfffffffffffffffff fcaeeeccccccccccbbbccccccccccccccccccbbbcccccccccccccccccc fcgeeeeggggggggdbbbggggggggggggggggggbbbdggggggggggggggggc fcgaeeecgggggggbbbbggggggggggggggggggbbbdggggggggggggggggc fcggeeeegggggggbbbgggggggggggggggggggbbbbggggggggggggggggc fcggaeeecgggggdbbbgggggggggggggggggggdbbbggggggggggggggggc fcgggeeeegggggbbbbgggggggggggggggggggdbbbggggggggggggggggc fcgggceeeaggggbbbdggggggggggggggggggggbbbggggggggggggggggc fcggggeeeegggdbbbgggggggggggggggggggggbbbggggggggggggggggc fcggggceeeaggbbbbgggggggggggggggggggggbbbdgggggggggggggggc fcgggggeeeeggbbbdgggggggggggggggggggggbbbdgggggggggggggggc aef fcgggggceeeadbbbggggggggggggggggggggggbbbbgggggggggggggggc eeee fcggggggeeeebbbbggggggggggggggggggggggdbbbgggggggggggggggc geeef fcgggggggeeeabbdggggggggggggggggggggggdbbbgggggggggggggggc eeee fcgggggggeeeebbggggggggggggggggggggggggbbbgggggggggggggggc eeeg fcggggggggeeeebggggggggggggggggggggggggbbbgggggggggggggggc aeee fcggggggggaeeedggggggggggggggggggggggggbbbdggggggggggggggc eeea fcgggggggggeeeeggggggggggggggggggggggggbbbdggggggggggggggc ceee fcggggggggbaeeecgggggggggggggggggggggggbbbbggggggggggggggc eeee fcggggggggbbeeeegggggggggggggggggggggggdbbbggggggggggggggc feeef fcggggggggbbaeeecggggggggggggggggggggggdbbbggggggggggggggc eeee fcgggggggbbbbeeeegggggggggggggggggggggggbbbggggggggggggggc eeea fcgggggggbbbdaeeecggggggggggggggggggggggbbbggggggggggggggc aeee bd fcgggggggbbbggeeeeggggggggggggggggggggggbbbdgggggggggggggc eeee bbbf fcggggggdbbbggceeeagggggggggggggggggggggbbbdgggggggggggggc eeeef fbbbbf fcggggggbbbdgggeeeegggggggggggggggggggggbbbbgggggggggggggc eeeee fbbbbf fcggggggbbbggggceeeaggggggggggggggggggggdbbbgggggggggggggaeeeee fbbbbf fcgggggdbbbgggggeeeegggggggggggggggggggggbbbggggggggggggaeeeee fbbbbf fcgggggbbbbggggggeeeaggggggggggggggggggggbbbgggggggggggeeeeea fbbbb fcgggggbbbgggggggeeeeggggggggggggggggggggbbbgggggggggceeeeef dbbbb fcggggdbbbggggggggeeeegggggggggggggggggggbbbdgggggggaeeeee dbbbb fcggggbbbbggggggggeeeegggggggggggggggggggbbbdggggggeeeeeac dbbbb fcggggbbbggggggggggeeeeggggggggggggggggggbbbbgggggeeeeecgc dbbbb fcgggdbbbggggggggggaeeeggggggggggggggggggdbbbgggaeeeeegggc bbbbbfcgggbbbbgggggggggggeeeeggggggggggggggggggbbbggeeeeeeggggc bbbbbcgggbbbggggggggggggaeeecgggggggggggggggggbbbdeeeeeagggggc bbbbbggdbbbgggggggggggggeeeegggggggggggggggggbbbeeeeecggggggc bbbbbgbbbbgggggggggggggaeeecggggggggggggggggbaeeeeeggggggggc bbbbbbbbdggggggggggggggeeeeggggggggggggggggeeeeeabbdggggggc bbbbbbbgggggggggggggggceeeagggggggggggggceeeeebbbbbbgggggc fbbbbbbggggggggggggggggeeeeggggggggggggaeeeeeggbbbbbbbgggc fcbbbbdggggggggggggggggceeeaggggggggggeeeeeegggggbbbbbbdgc fcgbbbggggggggggggggggggeeeegggggggggeeeeeagggggggdbbbbbbc fcggdgggggggggggggggggggceeeaggggggceeeeecggggggggggdbbbbbb fcgggggggggggggggggggggggeeeegggggaeeeeeggggggggggggggbbbbbbd fcggggggggggggggggggggggggeeeagggeeeeeagggggggggggggggggbbbbbbf fcggggggggggggggggggggggggeeeegceeeeecgggggggggggggggggggdbbbbbbf fcgggggggggggggggggggggggggeeeeeeeeegggggggggggggggggggggc bbbbbbd fcgggggggggggggggggggggggggaeeeeeeeggggggggggggggggggggggc fbbbbbbd fcggggggggggggggggggggggggggeeeeeagggggggggggggggggggggggc dbbbbbbf fcggggggggggggggggggggggggggaeeecggggggggggggggggggggggggc dbbbbd fcgggggggggggggggggggggggggggaaggggggggggggggggggggggggggc bbb fcgggggggggggggggggggggggggggggggggggggggggggggggggggggggc ff fccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8b546bff b,#36e8d3ff c,#b68d9cff d,#77efe1ff e,#731f3eff f,#bbf7f0ff g,#deccd3ff ``` ```image geeeeeeec dbbbbbbf bbbbbbb aeeeeeee bbbbbbb dbbbbbb geeeeeeec fbbbbbbd dbbbbbb ceeeeeee dbbbbbbf dbbbbbbf eeeeeeec bbbbbbbf fbbbbbbf ceeeeeee fbbbbbbb fbbbbbbd eeeeeeec dbbbbbbd bbbbbbd ceeeeeeeg bbbbbbbf bbbbbbb eeeeeeea bbbbbbb dbbbbbb ceeeeeeeg fbbbbbbd dbbbbbb aeeeeeea dbbbbbbf fbbbbbbf geeeeeeeg bbbbbbb fbbbbbbf aeeeeeea fbbbbbbd fbbbbbbd geeeeeeeg dbbbbbbf bbbbbbd aeeeeeea bbbbbbb bbbbbbb geeeeeeec fbbbbbbd dbbbbbb aeeeeeea dbbbbbbf dbbbbbb geeeeeeec bbbbbbb fbbbbbbf ceeeeeee fbbbbbbd fbbbbbbf geeeeeeec dbbbbbbf fbbbbbbd ceeeeeee bbbbbbb bbbbbbd eeeeeeec fbbbbbbd bbbbbbb ceeeeeeegdbbbbbbf dbbbbbb eeeeeeecbbbbbbb dbbbbbbf ceeeeeeebbbbbbd fbbbbbbf aeeeeeeabbbbbf fbbbbbbf ceeeeeeebbbbb bbbbbbd aeeeeeeabbbd bbbbbbd geeeeeeebbbf bbbbbbb aeeeeeeabb dbbbbbb geeeeeeebd dbbbbbbf aeeeeeeef fbbbbbbf geeeeeeec fbbbbbbf faeeeeeee bbbbbbd dbeeeeeeec bbbbbbd bbaeeeeeee bbbbbbb fbbbeeeeeeec dbbbbbb dbbbaeeeeeee dbbbbbbf dbbbbeeeeeeec fbbbbbbf bbbbbaeeeeeeeg fbbbbbbf fbbbbbbeeeeeeea bbbbbbd dbbbbbbceeeeeeeg bbbbbbd bbbbbbb aeeeeeea bbbbbbb fbbbbbbd geeeeeeeg dbbbbbb dbbbbbbf aeeeeeea dbbbbbbf bbbbbbb geeeeeeeg fbbbbbbf fbbbbbbd aeeeeeea fbbbbbbd dbbbbbbf geeeeeeec bbbbbbd bbbbbbb aeeeeeee bbbbbbd fbbbbbbd geeeeeeec dbbbbbb dbbbbbbf ceeeeeee dbbbbbb bbbbbbb geeeeeeec dbbbbbbf dbbbbbbf eeeeeeec fbbbbbbd ae bbbbbbb ceeeeeeeg bbbbbbd gaee fbbbbbbd eeeeeeec bbbbbbd ceeee dbbbbbbf ceeeeeeeg dbbbbbb ceeeee bbbbbbb aeeeeeea dbbbbbb gaeeeeee fbbbbbbd geeeeeeeg dbbbbbbf geeeeeeee dbbbbbbf aeeeeeea fbbbbbbf ceeeeeeeee bbbbbbb geeeeeeeg fbbbbbbd aeeeeeeeeee fbbbbbbd aeeeeeea bbbbbbd geeeeeeeeeea dbbbbbbf geeeeeeeg bbbbbbb ceeeeeeeeeec bbbbbbb aeeeeeea dbbbbbb aeeeeeeeeeeg fbbbbbbb geeeeeeec dbbbbbb gaeeeeeeeeeag dbbbbbbd ceeeeeee dbbbbbbf geeeeeeeeeec bbbbbbbf geeeeeeec fbbbbbbf ceeeeeeeeeec fbbbbbbb ceeeeeee fbbbbbbd aeeeeeeeeeag fbbbbbbd eeeeeeec bbbbbbd geeeeeeeeeea f dbbbbbbf ceeeeeee bbbbbbbfceeeeeeeeeec bf bbbbbbb eeeeeeec dbbbbbbaeeeeeeeeeeg bb fbbbbbbd ceeeeeeeg dbbbbbeeeeeeeeeeag bbb dbbbbbbf eeeeeeea fbbbbeeeeeeeeeec bbbb bbbbbbb ceeeeeeeg dbaeeeeeeeeeec bbbbb fbbbbbbd aeeeeeea gaeeeeeeeeeebbd bbbbbddbbbbbbf geeeeeeeg geeeeeeeeeeabbbbbf bbbbbbbbbbbbb aeeeeeea ceeeeeeeeeeabbbbbbbdf bbbbbbbbbbbbd geeeeeeeg aeeeeeeeeeebbbbbbbbbbbd bbbbbbbbbbbbf aeeeeeea gaeeeeeeeeeagdbbbbbbbbbbbbf dbbbbbbbbbbb geeeeeeec ceeeeeeeeeec fdbbbbbbbbbbbbf dbbbbbbbbbd aeeeeeee ceeeeeeeeeeg fbbbbbbbbbbbbd dbbbbbbbbf geeeeeeec gaeeeeeeeeeag dbbbbbbbbbbbbd dbbbbbbb ceeeeeee geeeeeeeeeea fdbbbbbbbbbbbbf dbbbbbd eeeeeeec ceeeeeeeeeec fbbbbbbbbbbbbd dbbbb ceeeeeee aeeeeeeeeeeg dbbbbbbbbbbb fff eeeeeeec geeeeeeeeeea dbbbbbbbbb ceeeeeee ceeeeeeeeeec fbbbbbbbb eeeeeee ceeeeeeeeeeg fbbbbbb ceeeeeeg gaeeeeeeeeeag dbbbb aeeeeea geeeeeeeeeec fdbb geeeeeeg ceeeeeeeeeec fb aeeeeea aeeeeeeeeeeg geeeeeeggeeeeeeeeeea aeeeeeeeeeeeeeeeec geeeeeeeeeeeeeeeg aeeeeeeeeeeeeag geeeeeeeeeeec ceeeeeeeeec geeeeeeeag ceeeeea eeeec cacg ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#875268ff b,#36e8d4ff c,#b78c9cff d,#7cf0e2ff e,#731f3eff f,#c3f8f1ff g,#ddcad1ff ``` ```image ae ceee eeee ceeeg eeee geeeg eeee geeec eeee eeec eeee bb eeea bbbb aeee bbbbd eeea fbbbbbf aeee bbbbbbb eeea bbbdbbbb ceee fbbb fbbbb eeee bbbb dbbbb ceeeg bbbd bbbbd eeee fbbb bbbbf geeeg dbbb bbbb eeee bbbd fbbbb geeeg bbb fbbbb eeee dbbb dbbbb geeec bbbd bbbbd eeee bbb bbbbf eeec dbbb bbbb aeee bbbd fbbbb eeea bbb dbbbb aeee dbbb dbbb eeea bbbd bbb aeee bbb bbb eeee dbbb bbbf ceee bbbb bbbd eeee bbbf bbbb ceeeg dbbb dbbb eeee bbbb fbbb geeeg bbbf bbb eeee fbbb bbb geeec bbbb bbbf eeee bbbf bbbd ceg eeecfbbb bbbb eeea eeeebbbb dbbb geee eeeabbf fbbb eeee aeeebb bbb eeeg eeeab bbb aeee aeeed bbbf eeea feeee bbbd ceee baeee bbbb eeee bbeeee dbbb eeeg fbbaeeeg fbbb eeee dbbbeeee bbb eeec bbbdgeeeg bbb ceee bd bbb eeee bbbf eeea bbbf dbbb geeec bbbd aeee bbbbf bbbd eeee bbbb eeeee fbbbbf bbb eeec dbbb geeeee fbbbbf dbbb eeee fbbb aeeeee fbbbb bbbd eeec bbb eeeeec fbbbb bbb aeee bbb geeeeeg dbbbb dbbb eeea bbbf ceeeee dbbbb bbbd aeee bbbd eeeeea dbbbb bbbf eeea dbbb eeeeeg dbbbb dbbb ceee dbbb geeeee bbbbb bbbb eeee fbbb aeeeea bbbbb bbbf ceee bbbfeeeeec bbbbb fbbb eeee bbbeeeeeg bbbbb bbbb ceeeg daeeeee bbbbdbbbf eeee eeeeeabbf bbbbbbb geeeg eeeeebbbbbb bbbbbb eeee ceeeee bbbbbbb bbbbf geeec aeeeea bbbbbbd bbb eeee eeeeec fbbbbbbf f eeec geeeee dbbbbbb eeee ceeeee bbbbbbd eeea eeeeec fbbbbbbf aeee eeeeeg dbbbbbb eeeeeeeee bbbbbbb aeeeeeea bbbbbbd eeeeec fbbbbbbf ceee dbbbbd cc bbb ff ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#7da53cff b,#238283ff c,#b1d7b0ff d,#97c798ff e,#59a299ff f,#90b562ff g,#ecf4eeff ``` ```image faa faaag aaaaaf aaaaaaa aaaa faag dbc aaaa gaaf gbbb aaaaddddaaaddddddddddddbbbbe aaaacccccaaacccccccccccbbbbbb gaaaagcccccdaafcccccccccebbbebbd gaaaa gccccccaaaccccccccdbbbccbbb gaaaa gccccccaaaccccccccbbbdccebbd gaaaf gccccccdaafccccccbbbbcccgbbb caaaf gcccccccaaacccccebbbccccgebbc dc caaaf gcccccccaaaccccdbbbcccccg bbb bbb caaad gcccccccdaafcccbbbdcccccg ebbc ebbe daaad gccccccccaaaccbbbbccccccg bbb bbb daaac gccccccccaaacebbbcccccccg bbbc dbbb faaac gccccccccdaafbbbccccccccg bbb bbbg faaag gcccccccccaaabbdccccccccg bbbc cbbb faaag gcccccccccaaabbcccccccccg gbbb bbbg aaaag gccccccccceaaaccccccccccg bbbg gbbb aaaag gccccccccdbaaaccccccccccg gbbb bbbc aaaa gccccccccbbaaaccccccccccg bbbg bbb aaaa gcccccccbbbeaafcccccccccg gbg cdbbbeddddddddddddddddddgaaaa gccccccebbbcaaacccccccccg dccbbbccccccccccccccccccaaaa gcccccdbbbccaaacccccccccg dccebbbccccccccccccccccaaaa gcccccbbbdccdaafccccccccg dcccbbbcccccccccccccccaaaa gccccbbbbccccaaaccccccccg dcccdbbbccccccccccccdaaaa gcccebbbcccccaaaccccccccg dccccbbbdccccccccccdaaaag gccdbbbccccccdaafcccccccg dcccccbbbcccccccccdaaafcg gccbbbdcccccccaaacccccccg dcccccbbbecccccccdaaafccg gcbbbbccccccccaaacccccccg dccccccbbbccccccfaaafcccg gebbbcccccccccdaafccccccg dccccccebbeccccfaaafccccg gbbbcccccccccccaaaccccccg dcccccccbbbcccfaaafcccccg bbbecccccccccccaaacccccdg dcccccccebbbcfaaadccccccg bbbeggggggggggggcaadggggg dccccccccbbbaaaadcccccccg ebbb aaa dccccccccdbaaaadccccccccg gbbb aaa dcccccccccaaaaccccccccccg bbbc caac dccccccccaaaabccccccccccg bbbe aaa dcccccccaaaabbecccccccccg ebbb aaa dccccccaaaacbbbcccccccccg gbbb caac dcccccaaaaccebbeccccccccg bbbc aaa dccccaaaaccccbbbccccccccg bbbe aaa dcccaaaacccccebbbcccccccg ebbb caac dccaaaacccccccbbbcccccccg gbbb aaa ddaaaaccccccccdbbbccccccg bbbc aaa daaaaccccccccccbbbdcccccg bbbe caac caaafccccccccccccbbbcccccg ebbb aaa caaafcccccccccccccbbbeccccg gbbbg aaa caaafcccccccccccccccbbbccccg bbbc caac aaafccccccccccccccccebbecccg bbbe aaa acdcccccccccccccccccbbbcccg ebbb aaa cdddddddddddddddddebbbddg gbbbg caac bbbg bbbc aaa cbbb bbbe aaa bbbg ebbb caac gbbb gbbbg aaa bbbc bbbc aaa bbb bbbe caac ebbeebbb aaa bbbbbbg aaa dbbbbc caac bbbe aaa gbb aaa caac aaa aaa caac aaa aaa caac aaa aaa daac aaa aaa daac aaa aaa dafg ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7da53dff b,#238283ff c,#b7d3c1ff d,#79b3b3ff e,#4c999aff f,#a2bf75ff g,#deeadfff ``` ```image ebbbbbd gbbbbbbg dbbbbbe gbbbbbbc dbbbbbe f bbbbbbc fa cbbbbbb faa ebbbbbd gaaaa cbbbbbbg gaaaaa ebbbbbd gaaaaaa gbbbbbbg gaaaaaaa dbbbbbe gaaaaaaaf gbbbbbbc gaaaaaaaf dbbbbbe caaaaaaaf bbbbbbc caaaaaaaf cbbbbbb caaaaaaaf ebbbbbd caaaaaaaf cbbbbbbg faaaaaaaf ebbbbbd faaaaaaaf gbbbbbbg faaaaaaac dbbbbbe faaaaaaac gbbbbbbc faaaaaaac dbbbbbe faaaaaaac bbbbbbc faaaaaaag cbbbbbbaaaaaaaag ebbbbaaaaaaaag cbbbaaaaaaaag ebaaaaaaaag caaaaaaaag gaaaaaaaag gaaaaaaaabc caaaaaaaabbe caaaaaaaabbbbc caaaaaaafbbbbbb caaaaaaaf ebbbbbd faaaaaaaf cbbbbbbg faaaaaaaf ebbbbbd faaaaaaac gbbbbbbg faaaaaaac dbbbbbe faaaaaaac gbbbbbbc faaaaaaac dbbbbbe faaaaaaag bbbbbbc gfaaaaaaag cbbbbbb gaaaaaaaag ebbbbbd gaaaaaaaag cbbbbbbg gaaaaaaaag ebbbbbd gaaaaaaaag gbbbbbbg aaaaaaafg dbbbbbe aaaaaaf gbbbbbbc aaaaaf dbbbbbe aaaaf bbbbbbc aaaf cbbbbbb aaf ebbbbbd af cbbbbbbg f ebbbbbd gbbbbbbg dbbbbbe ``` <!-- end of image --> Incredible, there's actually 1 intersection in area A! Time for a closer look at another area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#7da53dff b,#228283ff c,#a9ceceff d,#aec786ff e,#72aeaeff f,#459595ff g,#d8e5d3ff ``` ```image aaaad aaaaaa fbbb aaad daaaaag ebbbb aad gaaaaad cbbbbb ad aaaaaa gbbbbbb g daaaaag fbbbbbb gaaaaad ebbbbbbc aaaaaa cbbbbbbe daaaaag gbbbbbbf gaaaaad fbbbbbbg aaaaaa ebbbbbbc daaaaag cbbbbbbe gaaaaad gbbbbbbf aaaaaa fbbbbbbg daaaaag ebbbbbbc gaaaaad cbbbbbbe aaaaaa gbbbbbbf daaaaag fbbbbbbg gaaaaad ebbbbbbc aaaaaa cbbbbbbe daaaaag gbbbbbbf gaaaaad fbbbbbbg aaaaaa ebbbbbbc daaaaagcbbbbbbe gaaaaadbbbbbbf aaaaaabbbbbbg daaaaabbbbbc gaaaaaabbbe aaaaaabbf daaaaabbg eaaaaaac cbaaaaaa gbbaaaaaag fbbbaaaaad ebbbbaaaaaa cbbbbbaaaaaag gbbbbbbfaaaaad fbbbbbbgaaaaaa ebbbbbbc daaaaag cbbbbbbe gaaaaad gbbbbbbf aaaaaa fbbbbbbg daaaaag ebbbbbbc gaaaaad cbbbbbbe aaaaaa gbbbbbbf daaaaag fbbbbbbg gaaaaad ebbbbbbc aaaaaa cbbbbbbe daaaaag gbbbbbbf gaaaaad fbbbbbbg aaaaaa ebbbbbbc daaaaag cbbbbbbe gaaaaad gbbbbbbf aaaaaa fbbbbbbg daaaaag ebbbbbbc gaaaaad cbbbbbbe aaaaaa gbbbbbbf daaaaag fbbbbbbg gaaaaad bbbbbbc aaaaaa ``` <!-- end of image --> My investigation has led me to 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7da53dff b,#238283ff c,#9cc7c7ff d,#c1d3a2ff e,#5da3a2ff f,#9dbb6eff g,#d7e6dcff ``` ```image faa aaaa aaaaaf aaaaaaa aaaa faa cbc aaaa gaaf gbbb aaaa aaa bbbbe aaaa faa bbbbbb aaaa gaaf ebbbebbc aaaa aaa gbbb bbb gaaaa aaa bbbc ebbc gaaaa gaaf bbbe bbb gaaaf aaa ebbb ebbc cc daaaf aaa gbbb bbb bbb daaaf gaaf bbbc ebbc ebbe daaad aaa bbbe bbb bbb faaad aaa ebbb bbbc cbbb faaad gaafbbb bbb bbb faaag aaabbc bbbg gbbb aaaag aaabe bbb bbbg aaaag eaaa bbbg gbbb aaaa gbaaa bbb bbbc aaaa bbaaa bbbg bbb aaaa bbbeaaf gb ebbe aaaa ebbb aaa bbb aaaa gbbb aaa cbbb aaaa bbbc gaaf bbb aaaa bbbe aaa gbbb gaaaa ebbb aaa bbbg gaaaa gbbb gaad gbbb gaaaf bbbc aaa bbbc daaaf bbbe aaa bbb daaaf ebbb gaad ebbe daaad gbbb aaa bbb faaad bbbc aaa cbbb faaad bbbe daad bbbfaaag ebbb aaa gbaaaag gbbb aaa aaaag bbbc daad aaaab bbbe aaa aaaabbc ebbb aaa aaaa bbb gbbb daad aaaa ebbe bbbc aaa aaaa bbb bbbe aaa aaaa cbbb ebbb daad aaaa bbb gbbb aaa gaaaa gbbb bbbc aaa gaaaa bbbg bbbe daad gaaaf gbbb ebbb aaa daaaf bbbc gbbb aaa daaaf bbb bbbc daad aaad ebbe bbbe aaa ad bbb ebbb aaa cbbb gbbb daad bbb bbbc aaa gbbb bbbe aaa bbbg ebbb daad gbbb gbbb aaa bbbc bbbc aaa bbb bbbe daad ebbeebbb aaa bbbbbb aaa cbbbbc daad bbbe aaa gbb aaa daad aaa aaa daad aaa aaa daad aaa aaa daad aaa aaa daag aaa aaa daa ``` <!-- end of image -->
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Let's examine this image for potential line intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#677cd2ff b,#523639ff c,#cfd4ecff d,#7c786dff e,#91a6d2ff f,#96c796ff g,#b1d7b1ff ``` ```image f dbc cbd bb gbd fffffffffffffffffffffffffffffffffffffg bb gggggggggggggggggggggggggggggggggggggf gbf gggggggggggggggggggggggggggggggggggggf bb gggggggggggggggggggggggggggggggggggggf dbg gggggggggggggggggggggggggggggggggggggf bb gggggggggggggggggggggggggggggggggggggf dbggggggggggggggggggggggggggggggggggggggf cbbggggggggggggggggggggggggggggggggggggf bbfgggggggggeggggggggggggggggggggggggf gfbdgggggggeaegggggggggggggggggggggggf gggbbggggggeeagggggggggggggggggggggggf ggggfbdggggaegaggggggggggggggggggggggf ggggggbbgggaggeagggggggggggggggggggggf gggggggdbdgagggaaggggggggggggggggggggf gggggggggbbaggggaegggggggggggggggggggf ggggggggggdbdggggaeggggggggggggggggggf gggggggggggabbggggaggggggggggggggggggf gggggggggggagdbfgggagggggggggggggggggf ggggggggggeaggfbbggeaggggggggggggggggf ggggggggggeeggggbbfgaagggggggggggggggf ggggggggggaegggggfbdgaaggggggggggggggf ggggggggggaggggggggbbgaegggggggggggggf ggggggggggagggggggggfbdagggggggggggggf ggggggggggagggggggggggbbaggggggggggggf ggggggggggaggggggggggggdbbbbbbddddddddgcccc ggggggggggaggggggggggggggaafddddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbb ggggggggggagggggggggggggggaagggggggggf cc gggggggggeaggggggggggggggggaeggggggggf gggggggggeegggggggggggggggggaggggggggf gggggggggaeggggggggggggggggggagggggggf gggggggggagggggggggggggggggggeaggggggf gggggggggaggggggggggggggggggggeagggggf gggggggggagggggggggggggggggggggaaggggf gggggggggaggggggggggggggggggggggaegggf gggggggggagggggggggggggggggggggggagggf gggggggggaggggggggggggggggggggggggaggf ggggggggeaggggggggggggggggggggggggeagf ggggggggeegggggggggggggggggggggggggeaf ggggggggaeggggggggggggggggggggggggggaa ggggggggaggggggggggggggggggggggggggggae ffffffffaffffffffffffffffffffffffffffgac a a a ca a ea a a ea ca ca ae ac ee ac a ec a ea ac ca ac a ca a a ea ea a ae ac a ac a a ac ea ca a ac ee ca a ec ea ea ac ae ac a ae ca a ac ee a a a a ca ca a ea ae ca aa a ee a ca ec ca ae ac a a a ca ca a ac ae a ca a a ac ca a ca acca ac aee a eac e ac ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#667bd2ff b,#513339ff c,#bcc2e3ff d,#7d676bff e,#8f9edeff f,#aa9b9eff g,#e0e1efff ``` ```image f bdg bbbf gdbbdg ec fbbbf gaac gdbbdg caaag fbbbf caaaag cbbbdg eaeaaa dbbbc eacgaae cbbbd aac gaae gdbbbc aag caac fbbbf aag caag gdbbdg gaa eaag fbbbf gaa eaa gdbbdgcae gaae fbbbfae gaae gdbbbe caac fbbbf caac abbbdg eaag aadbbbc eaag aagcbbbd gaae gaa gdbbbc gaae gaa fbbbf caac cae gdbbdg caac cae fbbbf eaag eae gdbbdg eaag eac fbbbf aae aac gdbbdg gaae aag fbbbf gaae aag cbbbdgcaac gaa dbbbceaag gaa cbbbdeaag cae gdbbbaaa cae fbbbdae eae gdbbbae eac fbbbbbbbbbddddddddddfffffff eac gdbbbbbbbbbbbbbbbbbbbbbbbb aag gaaacccffffffffffddddddd aag eaa gaa gaae gaa gaae cae caac cae caac eae eaag eac eaag eac gaae aag gaae aag caac gaa caac gaa eaag cae eaag cae aae eae gaae eac gaac eac caac aag eaag aag eaag gaa aaa gaa gaae cae gaae cae caac eae eaa eac ea eac e aag g aag ``` <!-- end of image --> The lines cross each other within area A, forming 2 intersections. Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#687cd3ff b,#523338ff c,#c3c8e4ff d,#7e686bff e,#95a3e0ff f,#ac9ea0ff g,#e3e5f2ff ``` ```image f dbg gbd bbg cbd bb fbf bb fbf bb dbc gbd dbg c cbd cag bbg eea cbd acga bb ag ea fbf a aa bba ae fbf ac abb ag ga dbc ga ce gbd ca ee dbg ea ac cbd ae ag bbgac a cbdag a bba a fbbbbbddddfffffcccgg a aacfffffdddddbbbbbbbbbbbbbbbbbbbbbbbbbb ga ae ggc ce ac ee ag ac ga ag ca a ea a aa a ae a ag ga a ca ga ee ea ec aa ag ae a ac a ag a ga a ca a ga ea ca ca ae ac ee ac a ec ag ea ag ga ac a ca a a ea ea a ae ac a ac a ga ag ea ca ga ag ee ca ga ec ea ea ag ae ag a ae ga a ag ee a ga ag a ca ga ga ea ae ca aa ag ee a ca ec ca ae ag ag a a ca ca a ag ae a ga a a ag ca ga ga acca ac aee a cac e ag ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#971017ff b,#92b519ff c,#e1cabdff d,#b36765ff e,#b2d7b1ff f,#a4cd9fff g,#adc862ff ``` ```image cdc caaaaaadc aaaaaaaaaaaadc aaaaaaaaaaaaaaaaadc daaa daaaaaaaaaaaaaaaadc aaaa cdaaaaaaaaaaaaaaaad caaac cdaaaaaaaaaaaaaaaa aaaa cdaaaaaaaaaaaa aaad cdaaaaaaac daaa caaaa aaaa caaac caaa aaaa aaaa caaac fffffffffaaadfffff aaaa eeegbeeeaaaaeeeeef ffffdaaafffffffffffffffff efbbbeeeaaadeeeeef feeeeaaaaeeeeeeeeeeeeeeef eebbbgedaaaeeeeeef feeeedaaafeeeeeeeeeeeeeef eebbbbeaaaaeeeeeef feeeeeaaaaeeeeeeeeeeeeeef eegbbbfaaafeeeeeef feeeeedaaafeeeeeeeeeeeeef eeebbbaaaaeeeeeeef feeeeeeaaaaeeeeeeeeeeeeef eeebbbaaadeeeeeeef feeeeeedaaafeeeeeeeeeeeef eeebbaaaaeeeeeeeef feeeeeeeaaaaeeeeeeeeeeeef eeegbaaaaeeeeeeeef feeeeeeedaaaeeeeeeeeeeeef eeeebaaafeeeeeeeef feeeeeeeeaaaaeeeeeefffgggggggbbbbbbbbbbbbbb eeeeaaaaeeeeeeeeef cccefgbbbbbbbbbaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eeefaaabeeeeeeeeef bbbbbbbbbbbbbbbbbbbbbaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbc eeeaaaabeeeeeeeeef gbbbbbbbbbbbbbbbbbbbbbaaaabbbbbbbbbbbbbbbbbbggggeccc eeeaaaabgeeeeeeeef bbbbbbbbbbbbbbbbbbbggggaaaaeeeeeeeeef eedaaabbbeeeeeeeef bbbc feeeeeeeeeeaaaaeeeeeeeeef eeaaaabbbeeeeeeeef cbbb feeeeeeeeeeeaaaaeeeeeeeef efaaagbbbfeeeeeeef gbbb feeeeeeeeeeeaaaaeeeaadeef eedaaebbbgeeeeeeef bbbg feeeeeeeeeeeeaaadefaaaeef eeeeeebbbbeeeeeeef bbbc feeeeeeeeeeeeaaaaedaaadef eeeeeegbbbeeeeeeef cbbb feeeeeeeeeeeeeaaadaaaaaef eeeeeeebbbfeeeeeef gbbb feeeeeeeeeeeeeaaaaaaaaadf eeeeeeebbbbeeeeeef bbbg feeeeeeeeeeeeefaaaaaaaaaf fffffffbbbbfffffff bbbc feeeeeeeeeeeeeeaaaaaaaaaf bbbg cbbb ffffffffffffffffaaaaaaaaa bbbb bbbb aaaaadaaa bbbb bbbg caaad aaad gbbb bbbc aaac aaaa bbbb ebbb dc aaad gbbb bbbb aaaa bbbb bbbg caaac gbbbc bbb aaaa bbbb ebbb daaa ebbbc bbbb aaaa bbbb bbbg daaa cbbbe bbb aaad bbbb fbbb aaaa cbbbg bbbb caaac bbbb bbbg aaaa bbbg bbb caaa bbbb gbbb aaaa bbbg bbbb daaa bbbb bbbf aaad bbbbbbb aaaa gbbbbbb aaac bbbbbb aaaa gbbbbe caaac bbbb aaaa gbbb daaa bbc aaad aaaa aaad aaaa caaac aaaa daaa aaaa daaa aaad aaaa caaac aaaa caaa aaaa daaa aaad aaaa aaac aaad cc ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#971016ff b,#92b519ff c,#d1999aff d,#b25054ff e,#bbd170ff f,#e2ddc2ff g,#936616ff ``` ```image daaaaaad aaaaaaac caaaaaaa febe aaaaaaac ebbbbbe caaaaaaaf bbbbbbb daaaaaad bbbbbbbf faaaaaaaf ebbbbbbe caaaaaaa fbbbbbbb aaaaaaac bbbbbbb caaaaaaa ebbbbbbf daaaaaad ebbbbbbefaaaaaaaf fbbbbbbbdaaaaaad bbbbbbbaaaaaaac ebbbbbgaaaaaaa fbbbbbaaaaaaac bbbbgaaaaaaaf bbbbgaaaaaad ebbbaaaaaaac fbbgaaaaaaa bbaaaaaaac egaaaaaaa eaaaaaaad caaaaaaaf daaaaaaaf aaaaaaagf caaaaaaabe daaaaaagbb faaaaaaabbbf daaaaaaabbbe faaaaaaagbbbe caaaaaaabbbbb aaaaaaagbbbbbf caaaaaaabbbbbbe daaaaaadbbbbbbb faaaaaaafbbbbbbb caaaaaad ebbbbbbf cdaaac ebbbbbbe fda fbbbbbbb bbbbbbbf ebbbbbbe fbbbbbbe bbbbbbb bbbbbbbf ebbbbbbe fbbbbbbb bbbbbbbf ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Let's move forward and inspect another region. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#971016ff b,#92b318ff c,#d5c6a5ff d,#b35456ff e,#c98487ff f,#ede4d8ff g,#afc857ff ``` ```image aaaaaaad eaaaaaaaf aaaaaaad eaaaaaaaf aaaaaaad eaaaaaaaf aaaaaaad eaaaaaaaf faaaaaaad eaaaaaaaf faaaaaaae eaaaaaaaf faaaaaaae eaaaaaaaf faaaaaaae daaaaaaa faaaaaaae daaaaaaa faaaaaaae daaaaaaa ffffffcccc fffffcaaaaaaadggggggbbbbbbbbbbbbbbbb ggggggbbbbbbbbbbbbaaaaaaaabbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbaaaaaaabbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbaaaaaaaabbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbaaaaaaabbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbaaaaaaaabbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbaaaaaaabbbbbbbbggggggggcccc bbbbbbbbbbggggggggcccaaaaaaadf ffff caaaaaaac daaaaaad caaaaaaac aaaaaaad caaaaaaac feef aaaaaaad caaaae eaaaaaaaf aaaaaac aaaaaaad caaaaaad eaaaaaaaf eaaaaaaaf aaaaaaad daaaaaaad eaaaaaaaf daaaaaaaaf aaaaaaad aaaaaaaaae eaaaaaaacaaaaaaaaaa faaaaaaaaaaaaaaaaaac eaaaaaaaaaaaaaaaaad faaaaaaaaaaaaaaaaaac eaaaaaaaaaaaaaaaaad faaaaaaaaaaaaaaaaaa eaaaaaaaaaaaaaaaaa ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area B! Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#971017ff b,#92b418ff c,#daaaacff d,#bc676bff e,#c9da8eff f,#eae2d3ff g,#acc64fff ``` ```image fdc faaaaaadc aaaaaaaaaaaadf aaaaaaaaaaaaaaaaadf daaa fdaaaaaaaaaaaaaaaadf aaaa fdaaaaaaaaaaaaaaaadf caaaf fdaaaaaaaaaaaaaaaa aaaa fdaaaaaaaaaaaa aaad cdaaaaaaac daaa caaaa aaaa caaac caaa aaaa aaaa caaac faaac aaaa eb aaaa caaaf bbb aaad aaaa bbbe daaa caaaf bbbb aaaa aaaa ebbbfaaaf daaaf bbbaaaa aaaa bbbaaad daaaf gbaaaa aaaa fbaaaa daaa baaaf aaaa fffeeeegggbbbbbbbbbbbbbb aaaa fffeeeegggbbbbbbaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf aaab bbbbbbbbbbbbbbbbbbbbbaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbf aaaab gbbbbbbbbbbbbbbbbbbbbbaaaabbbbbbbbbbbbbbbbbgggeeeefff aaaabe bbbbbbbbbbbbbbbbbgggeeeaaaa daaabbb bbbe aaaa aaaabbb fbbb aaad faaacbbbf gbbb aaaa aad caa bbbg bbbg aaad caaa bbbb bbbf aaaa daaad ebbb fbbb aaadaaaaa bbbf gbbb aaaaaaaaac bbbg bbbg faaaaaaaaa gbbb bbbf aaaaaaaaaf bbbg ebbb faaaaaaaaa bbbb gbbb aaaaadaaa bbbb bbbg faaad aaad gbbb bbbf aaaf aaaa bbbb ebbb dc aaac gbbbf bbbb aaaa bbbb bbbg caaaf ebbbf bbbf aaaa bbbb ebbb daaa ebbbf bbbb aaaa bbbb bbbe daaa fbbbe bbb aaad bbbb ebbb aaaa fbbbe bbbb faaac bbbb bbbe aaaa fbbbg bbb caaaf bbbb ebbb aaaa bbbg bbbb daaa bbbb bbbe aaad bbbbbbb aaaa gbbbbbb faaac bbbbbb aaaa gbbbbe caaaf bbbb aaaa ebbb daaa bbf aaad aaaa aaad aaaa faaac aaaa daaa aaaa daaa aaad aaaa faaac aaaa caaaf aaaa daaa aaad aaaa faaac aaad cc ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#36011fff b,#86cc2fff c,#937d88ff d,#b1d6b0ff e,#685154ff f,#9ecf87ff g,#eff4edff ``` ```image gg gaaaaaaaaaaaaaaeeeccddg eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccccccccg aaaeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaa gddcceeeaaaaaaaaaaaaaaaaaaaaaa gaaa ggddddddeaac eaad gaaa aaa aaa aaa aaa daae caac eaad gaaa aaa aaa aaa aaa daae caac eaad gaaa aaa aaa aaa aaa daae caac eaad gaaa aaa aaa gg aaa ggggggaaagggggggggggggg bbb daae gfdddddeaaeddddddddddddfg bbb aaag gdddddddaaadddddddddddddg bbb aaa gdddddddaaadddddddddddddg bbbg aaa gdddddddaaadddddddddddddg fbbg caae gdddddddeaaeddddddddddddg fbbg aaag gddddddddaaaddddddddddddg dbbd aaa gddddddddaaaddddddddddddg dbbd aaa gddddddddaaaddddddddbbbdg gbbf caac gddddddddeaaedddddfbbbbfg gbbf aaag gdddddddddaaadddfbbbbbbdg gbbb aaa gdddddddddaaadfbbbbbbdddg bbb aaa gdddddddddaaabbbbbbdddddg bbb caac gdddddddddebbbbbbdddddddg bbb aaag gddddddddbbbbbbfddddddddg bbb aaa gddddddbbbbbbeddddddddddg bbb gaaa gddddfbbbbbeaaddddddddddg bbb caac gddfbbbbbbdeaaedddddddddg bbb aaa gfbbbbbbddddaaadddddddddg bbb aaa gbbbbbbddddddaaadddddddddg bbb gaaa gbbbbbbddddddddaaadddddddddg bbb caac bbbbbbfdddddddddeaaeddddddddg bbb aaa bbbbbbdddddddddddddaaaddddddddg fffbbbfffffaaaffffg fbbbbbf gddddddddddddaaaddddddddg dddbbbfdddfaaaddddg dbbbbbf gddddddddddddaaaddddddddg dddfbbfdddeaacddddg dbbbbbb gddddddddddddeaaedddddddg dddfbbfdddaaadddddg gbbbbbb gdddddddddddddaaadddddddg dddfbbfdddaaadddddg gbbbbbbg gdddddddddddddaaadddddddg dddfbbfddfaaadddddg bbbbbbg gfffffffffffffaaafffffffg ddddbbbddeaacdddddg bbbbbbd caac ddddbbbddaaaddddddg fbbbbbd gaaa ddddbbbddaaaddddddg fbbbbbf aaa ddddbbbdfaaaddddddg dbbbbbf aaag ddddbbbdeaacddddddg gbbbbbb caac ddddbbbdaaadddddddg gbbbbbbg gaaa ddddbbbdaaadddddddg gbbbbbbg aaa ddddbbbcaaedddddddg bbbbbbd aaag ddddbbbeaacdddddddg fbbbbbd caac ddddbbbaaaddddddddg fbbbbbf aaa ddddbbbaaaddddddddg dbbbbbf aaa ddddbbbaaeddddddddg dbbbbbb aaag ddddbbbaacddddddddggbbbbbbg caac ddddbbbaaddddddddfbbbbbbg aaa ddddbbbaadddddddbbbbbbg aaa ddddfbbeedddddbbbbbbd aaag ddddfbbefdddfbbbbbf caac ddddfbbeddfbbbbbbdg aaa ddddfbbefbbbbbbdddg aaa ddddcbbbbbbbbdddddg aaag ddddabbbbbbdddddddg caac ddddabbbbbddddddddg aaa ddddabbbbbddddddddg aaa dddcabbbbbddddddddg aaag dddaabbbbfddddddddg dd dddaabbbbdddddddddg dddaabbbbdddddddddg ddeaabbbbdddddddddg ddaaabbbbdddddddddg ddaaabbbbdddddddddg ddddebbbfdddddddddg dddddbbbddddddddddg dddddfbbdddddddddfg gggggggggggggggggg ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#370220ff b,#85cb2dff c,#a48d99ff d,#d6e2c2ff e,#714c61ff f,#aedc75ff g,#5a5f25ff ``` ```image fbbbbb eaaaaac fbbbbb aaaaaad fbbbbbd daaaaaa fbbbbbd caaaaae fbbbbbd eaaaaac fbbbbbd aaaaaad dbbbbbd daaaaaa dbbbbbd caaaaae dbbbbbf eaaaaac dbbbbbf aaaaaad dbbbbbf daaaaaa dbbbbbf caaaaae bbbbbf eaaaaac bbbbbf aaaaaad bbbbbb daaaaaa bbbbbb caaaaae bbbbbb eaaaaac bbbbbb aaaaaa bbbbbb daaaaae fbbbbb caaaaae fbbbbb eaaaaac fbbbbbd aaaaaa fbbbbbd daaaaae fbbbbbd caaaaac fbbbbbd eaaaaad dbbbbbd aaaaaa dbbbbbddaaaaae dbbbbbfcaaaaac dbbbbbfeaaaaad dbbbbbfaaaaaa dbbbbbfaaaaae bbbbbbaaaaac bbbbbbaaaaad bbbbbbaaaaa bbbbbbaaaae bbbbbbaaaac bbbbbbaaaad fbbbbbaaaa fbbbbbaaae fbbbbbaaac f fbbbbbaaad dbb fbbbbbgaa dbbbb fbbbbbgae dfbbbbb fbbbbbgac dfbbbbbbb dbbbbbgad fbbbbbbbbb dbbbbbga fbbbbbbbbbbb dbbbbbge fbbbbbbbbbbbfd dbbbbbgc dbbbbbbbbbbbfd dbbbbbgddbbbbbbbbbbbbd dbbbbbbfbbbbbbbbbbbd cbbbbbbbbbbbbbbbbd ebbbbbbbbbbbbbbf abbbbbbbbbbbbf dabbbbbbbbbbfd cabbbbbbbbbbd eabbbbbbbbbbd aabbbbbbbbbb daabbbbbbbbbb caagbbbbbbbbf eaagbbbbbbbbf aaagbbbbbbbbd daaagbbbbbbbbd caaagbbbbbbbb eaaagbbbbbbbb aaaagbbbbbbbf daaaagbbbbbbbf caaaagbbbbbbbd eaaaaabbbbbbbd aaaaaabbbbbbb daaaaaebbbbbbb caaaaacbbbbbbf dceaaadbbbbbbf dc bbbbbbd bbbbbbd bbbbbb fbbbbf bbbbd ``` <!-- end of image --> Success! This area contains 1 intersection point! Okay, let's proceed to the next area. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#36001fff b,#85cb2eff c,#967b8aff d,#d5edb8ff e,#63424bff f,#a7da68ff g,#c8bac2ff ``` ```image eaaaaag caaaaac gaaaaae aaaaaa eaaaaag caaaaac gaaaaae aaaaaa eaaaaag caaaaac gaaaaae aaaaaa eaaaaag caaaaac d gaaaaae dfbd aaaaaa dfbbbb eaaaaag fbbbbbbf caaaaac fbbbbbbbbb gaaaaae dbbbbbbbbbbbd aaaaaa dbbbbbbbbbbbfd eaaaaag dbbbbbbbbbbbfd caaaaac dfbbbbbbbbbbbd gaaaaaedfbbbbbbbbbbbd aaaaabbbbbbbbbbbbf eaaebbbbbbbbbbbf cebbbbbbbbbbbf dbbbbbbbbbbbfd dbbbbbbbbbbbfd dfbbbbbbbbbbbd dfbbbbbbbbbbbec dfbbbbbbbbbbbeaae fbbbbbbbbbbbeaaaaa fbbbbbbbbbbbf eaaaaag dbbbbbbbbbbbfd caaaaac dbbbbbbbbbbbfd gaaaaae dfbbbbbbbbbbbd aaaaaa dfbbbbbbbbbbbd eaaaaag bbbbbbbbbbbd caaaaac bbbbbbbbbf gaaaaae bbbbbbbf aaaaaa bbbbbfd eaaaaag bbbfd caaaaac bfd gaaaaae d aaaaaa eaaaaag caaaaac gaaaaae aaaaaa eaaaaag caaaaac gaaaaae aaaaaa eaaaaag caaaaac ``` <!-- end of image --> Aha! I've found 1 intersection inside area B! Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#36011fff b,#85cc2eff c,#967a89ff d,#d9e9c1ff e,#65454dff f,#acdc71ff g,#c4b5beff ``` ```image d aaaaaaaaaaaaaaeecccggd eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeecccccccc aaaeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaa dggcceeeaaaaaaaaaaaaaaaaaaaaaa daae dggggggeaac eaag aaa aaa aaa aaa aaa gaae caac eaag aaa aaa aaa aaa aaa gaae caac eaag aaa aaa aaa aaa aaa gaae caac eaag aaa aaa aaa d aaa aaa bbb gaae caac bbb aaad aaa bbb aaa aaa fbb aaa aaa fbbd caac caac fbbd aaad aaa dbbd aaa aaa dbbf aaa aaa fbb dbbf caac caac fbbbb dbbf aaa aaa dbbbbbf bbf aaa aaa dbbbbbb bbb aaa aaabbbbbb bbb caac cbbbbbbd bbb aaa bbbbbbd bbb aaa fbbbbbe bbb aaa fbbbbbeaa bbb caac dbbbbbf caac bbb aaa dbbbbbb aaa bbb aaa dbbbbbb aaa bbb aaa bbbbbb aaa bbb caac bbbbbbd caac bbb aaa fbbbbbd aaa fbb aaa fbbbbbf aaa fbbd daaa fbbbbbf aaa fbbd caac dbbbbbf caac dbbd aaa dbbbbbb aaa dbbf aaa bbbbbb aaa dbbf daaa bbbbbbd aaa bbf eaag bbbbbbd caac bbf aaa fbbbbbf aaa bbb aaa fbbbbbf aaa bbb gaae dbbbbbf aaa bbb eaag dbbbbbb caac bbb aaa bbbbbb aaa bbb aaa bbbbbbd aaa bbbgaae bbbbbbd aaa bbbeaag fbbbbbd caac bbbaaa fbbbbbf aaa bbbaaa dbbbbbf aaa bbbaae dbbbbbb aaa bbbaag dbbbbbb caac fbbaa bbbbbb aaa fbbaa bbbbbbd aaa fbbee fbbbbbd aaa dbbed fbbbbbf caac dbbe fbbbbbf aaa dbbedbbbbbb aaa cbbbbbbbb aaa abbbbbb caac abbbbb aaa abbbbb aaa cabbbbf aaa aabbbbd gg aabbbb aabbbb caabbbb aaabbbb aaabbbf cbbbd bbb bb ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#124915ff b,#dadbaeff c,#628a63ff d,#eff4ecff e,#356536ff f,#b1d6b0ff g,#95c195ff ``` ```image gf caaaeb aaaaaaacd aaaaaaaaaag aaagaaaaaaaaaf aaa caaaaaaaaed faaa deaaaaaaaac caaa faaaaaaaaag eaae gaaaaaaaaaf aaac caaaaaaaaed aaaf deaaaaaaag aaa faaaaaad daaa caaaa faaa faaaa caaa eaaac eaae aaaad aaag aaaa aaab faaaa aaa caaac daaa aaaad gaaa aaaa caaa baaaa aaae caaac db aaag aaaab bbbb aaab aaaa dbbb aaa baaaa bbbb daaa caaac bbbd gaaa aaaab bbbb caaa aaaa bbbb aaac daaaa dbbb aaag caaac bbbb aaad aaaab bbbd aaa aaaa bbbb ddddddddbaaadddddddd daaaa bbbb ffffffffcaaafffffffgd caaac dbbb ffffffffeaaaffffffffd aaaaf bbbb ffffffffaaaeffffffffd aaaa bbbd ffffffffaaacffffffffd daaae bbbb ffffffffaaagffffffffd caaab bbbd ffffffffaaafffffffffd faaaagggggggggggfbbbggggd fffffffgaaafffffffffd ggaaacffffffffffbbbbffffd fffbbffcaaafffffffffd gfaaaaffffffffffbbbfffffd ffbbbffeaaafffffffffd gffaaaaffffffffbbbbfffffd ffbbbbfaaaefffffffffd gffcaaagfffffffbbbffffffd ffbbbbfaaacfffffffffbbbd gfffaaaaffffffbbbbffffffd fffbbbfaaagfffffbbbbbbbbbb gfffgaaacfffffbbbbffffffd fffbbbbaaaffbbbbbbbbbbbbbbbbd gffffaaaafffffbbbfffffffd fffbbbbegbbbbbbbbbbbbdbbbbbbbbd gfffffaaaafffbbbbfffffffd ffffbbbbbbbbbbbbbbffd bbbbbbbbb gfffffcaaagffbbbffffffffd ffffbbbbbbbbbbffffffd dbbbbbbbbd gffffffaaaafbbbbffffffffd fffffbbbbgffffffffffd bbbbbbbbd gffffffgaaacbbbbffffffffd ffffffeaacffffffffffd dbbbbbbbb gfffffffaaaebbbfffffffffd ffffffaaafffffffffffd dbbbbbbbbd gffffffffaabbbbfffffffffd ffffffaaafffffffffffd bbbbbbbbb gffffffffccbbbffffffffffd fffffgaaafffffffffffd dbbbbbbbb gffffffffbbbbbffffffffffd fffffcaaafffffffffffd dbbbbbbbbd gfffffffbbbbbccfffffffffd fffffeaaafffffffffffd bbbbbbbbb gfffffbbbbbbaaafffffffffd fffffaaacfffffffffffd dbbbbbbbbd gfffbbbbbbbfaaaaffffffffd fffffaaagfffffffffffd dbbbbbbbbd gffbbbbbbfffcaaagfffffffd fffffaaaffffffffffffd bbbbbbbbbbbbbbbbfffffaaaafffffffd fffffaaaffffffffffffd dbbbbbbbbbbbfffffffgaaacffffffd ffffgaaaffffffffffffd bbbbbbbffffffffffaaaaffffffd ffffcaaaffffffffffffd dbbbffffffffffffaaaefffffd ffffeaaeffffffffffffd gffffffffffffffcaaagffffd ffffaaacfffffffffffgd gfffffffffffffffaaaaffffd ddddaaafdddddddddddd gfffffffffffffffgaaacfffd aaa gffffffffffffffffaaaafffd aaa gfffffffffffffffffaaaeffd faaa gfffffffffffffffffcaaagfd caaa gffffffffffffffffffaaaagd eaae dddddddddddddddddddfaaad aaac aaag aaaf aaaa aaa faaa aaa aaaf faaa aaaa caaa gaaa eaae aaaf aaag aaae aaaf gaaa aaa aaab d aaac fd ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#124915ff b,#dbdbacff c,#8da68aff d,#e9ebdaff e,#346335ff f,#b4c5b3ff g,#5f835eff ``` ```image faaaaaac caaaaaaf caaaaaad gaaaaaa eaaaaae aaaaaag daaaaaac faaaaaac caaaaaaf gaaaaaad gaaaaaa eaaaaae aaaaaag daaaaaac d faaaaaac ddbbd caaaaaaf dbbbbbd gaaaaaad bbbbbbb gaaaaaa dbbbbbbd eaaaaae dbbbbbbd aaaaaag bbbbbbb daaaaaac dbbbbbbd faaaaaaf dbbbbbbb caaaaaaf ddbb bbbbbbb gaaaaaad ddbbbbbb dbbbbbbdgaaaaaa ddbbbbbbbbbb dbbbbbbbeaaaaae ddbbbbbbbbbbbbbb bbbbbbbeaaaaecdbbbbbbbbbbbbbbbbb dbbbbbbgegcbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbdd dbbbbbbbbbbbbbbbbbbbbbbdd bbbbbbbbbbbbbbbbbbdd bbbbbbbbbbbbbbdd dbbbbbbbbbfd dbbbbcgeac feaaaaaf caaaaaab gaaaaaad eaaaaae aaaaaae daaaaaag baaaaaac faaaaaaf caaaaaad gaaaaaa eaaaaae aaaaaag daaaaaag faaaaaac faaaaaaf caaaaaad gaaaaaa eaaaaae aaaaaag daaaaaag faaaaaac faaaaaaf caaaaaad gaaaaaa eaaaaae aaaaaag ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! Hmm, interesting. Let's check out another area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#124915ff b,#dbdbadff c,#779676ff d,#e5e8d7ff e,#27592aff f,#a7baa3ff g,#49734aff ``` ```image eaaaaaag bbbbbbb faaaaaaaf dbbbbbbd gaaaaaae bbbbbbbd daaaaaaac dbbbbbbb caaaaaaad dbbbbbbd eaaaaaag bbbbbbb faaaaaaaf dbbbbbbd gaaaaaae bbbbbbb daaaaaaac dbbbbbbb caaaaaaad dbbbbbbd eaaaaaag bbbbbbb faaaaaaaf dbbbbbbd gaaaaaae bbbbbbb daaaaaaac dbbbbbbb caaaaaaad bbbbbbbd eaaaaaag bbbbbbb faaaaaaaf dbbbbbbd gaaaaaae bbbbbbb daaaaaaac dbbbbbbb caaaaaaad bbbbbbbd eaaaaaag bbbbbbb faaaaaaaf dbbbbbbd gaaaaaae bbbbbbb daaaaaaacdbbbbbbd caaaaaaabbbbbbbd deaaaaagbbbbbbb faaaaafbbbbbbd gaaaebbbbbbb daaacbbbbbbd cacbbbbbbb dfbbbbbbbb dbbbbbbbbbb bbbbbbbbbbbe dbbbbbbbbbbbgac bbbbbbbbbbbfgaaad dbbbbbbbbbbbcaaaaag bbbbbbbbbbbbfaaaaaaaf dbbbbbbbbbbbd gaaaaaae bbbbbbbbbbbb daaaaaaac dbbbbbbbbbbbd caaaaaaad bbbbbbbbbbbb deaaaaaag bddbbbbbbbbbbbd faaaaaaaf bbbbbbbbbbbbb gaaaaaae bbbbbbbbbbbd daaaaaaac bbbbbbbbbb caaaaaaad bbbbbbbbd deaaaaaag bbbbbbb faaaaaaaf bbbbbd gaaaaaae ddbd baaaaaaac caaaaaaad deaaaaaag faaaaaaaf gaaaaaae baaaaaaac caaaaaaad deaaaaaag faaaaaaaf gaaaaaae baaaaaaac caaaaaaad deaaaaaag faaaaaaad ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#124915ff b,#dadbadff c,#79987aff d,#e3e7d5ff e,#2d5e2fff f,#abbeabff g,#587e58ff ``` ```image ff gaaaed aaaaaaag aaaaaaaaaac aaafaaaaaaaaaf aaa caaaaaaaaed faaa deaaaaaaaag caaa faaaaaaaaaf eaae caaaaaaaaab aaac gaaaaaaaag aaab deaaaaaaac aaa faaaaaad aaa caaaa faaa faaae caaa gaaac eaae aaaad aaac aaaa aaad baaaa aaa gaaac daaa aaaad faaa aaaa gaaa daaaa aaag gaaac db aaac aaaad bbbb aaad aaaa bbb aaa daaaa bbbb daaa gaaag bbbd faaa aaaad dbbb gaaa aaaa bbbd aaag daaaa bbb aaaf caaag bbbb aaad aaaab bbb aaa aaaa dbbb daaa daaaa bbbd faaa caaag dbbb gaaa eaaaf bbbb aaag aaaa bbb aaaf daaae bbbb aaad caaad bbbd aaa aaaa dbbb daaa daaac bbbb db faaa eaaa bbb bbb gaaa aaae bbbb bbbd aaag caaad bbbd dbbb aaaf dbbbd aaaa dbbb bbb aaad dbbbbbbbbbd daaac bbbb bbbbaaa dbbbbbbbbbbbbbbb eaaa bbb dbbbecbbbbbbbbbbbbdbbbbbbbbd aaae bbbb bbbbbbbbbbbbbd dbbbbbbbb caaad bbbd bbbbbbbbbd dbbbbbbbb aaaa dbbb dbbbbf bbbbbbbbd daaacbbbd eaaf dbbbbbbbb eaagbbb aaa dbbbbbbbbd aabbbb aaa bbbbbbbbd cgbbb daaa dbbbbbbbb bbbbb caaa bbbbbbbbd dbbbbbgc eaae dbbbbbbbd bbbbbbaaa aaac dbbbbbbbb dbbbbbd aaae aaaf bbbbbbbbd bbbbbb caaad aaa dbbbbbbbbdbbbbbd aaaa aaa dbbbbbbbbbbb daaac baaa bbbbbbbd eaaa caaa dbbb aaae eaae caaad aaac aaaa aaaf daaac aaa eaaa aaa aaae faaa caaad caaa aaaa eaae faaa aaac aaaf aaaf aaaa aaa faaa aaa aaaf faaa aaae caaa faaa eaae aaab aaac aaae aaab faaa aaa aaad aaag fd ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I've noticed 2 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#6cd3b8ff b,#b1d7b2ff c,#37c9a9ff d,#edf6f0ff e,#8ec4a0ff f,#a4d1a8ff g,#bce8dcff ``` ```image g ca c aa c gc cd gc cg dc aa c aa c gc cd dc cg dc aa c aa cd gc cd dc cg c aa c ac cd gc dddcgdddddddddddddddddd dffffcffffffffffffffffffd dfbbbcabbbbbbbbbbbbbbbbfd dfbbbbcbbbbbbbbbbbbbbbbfd dfbbbbcabbbbbbbbbbbbbbbfd dfbbbbbcbbbbbbbbbbbbbbbfd dfbbbbbacbbbbbbbbbbbbbbfd gbee dfbbbbbbcfbbbbbbbbbbbbbfd dgeeeeeeeeeeeeeeeeeeeeeeee dfbbbbbbecbbbbbbbbbbbbbfd gbeeeebddfbbbbeebbbbbbbbbbbbbbb dfbbbbbbbcebbbbbbbbbbbbfd dgeeeefgd dfbbbbbebbbbbbbbbbcbbbb dfbbbbbbbfcbbbbbbbbbbbbfd gfeeeebd dfbbbbbefbbbbbbbbbcbbbb dfbbbbbbbbcabbbbbbbbbbfeeeeefgd dfbbbbbbebbbbbbbbaabbbb dfbbbbbbbbbcbbbbbfeeeeeeg dfbbbbbbefbbbbbbbcbbbbb d dfbbbbbbbbbaaeeeeefbbbbfd dfbbbbbbfebbbbbbbcbbbbb eeeeeeeeeeeeeefeeffffeeeeeafbbbbbbbbbfd dfbbbbbbbebbbbbbaabbbbb dddgefeeeefbbbbacbbbbbbbbbfd dfbbbbbbbfebbbbbcbbbbbb dfbbbbbbbbbbbcfbbbbbbbbfd dfbbbbbbbbebbbbbcbbbbbb dfbbbbbbbbbbbecbbbbbbbbfd dfbbbbbbbbeebbbaabbbbbb dfbbbbbbbbbbbbcebbbbbbbfd dfbbbbbbbbbebbccbbbbbbb dfbbbbbbbbbbbbfcbbbbbbbfd dfbbbbbbbbbefccbbbbbbbb dfbbbbbbbbbbbbbcabbbbbbfd dfbbbbbbbbbbecbbbbbbbbb dfbbbbbbbbbbbbbbcbbbbbbfd dfbbbbbbbbbcefbbbbbbbbb dfbbbbbbbbbbbbbbacbbbbbfd dfbbbbbbbfcefebbbbbbbbb dfbbbbbbbbbbbbbbbcbbbbbfd dfbbbbbbfcfbbebbbbbbbbb dfbbbbbbbbbbbbbbbacbbbbfd dfbbbbbacbbbbfebbbbbbbb dfbbbbbbbbbbbbbbbbcfbbbfd dfbbbbacbbbbbbebbbbbbbb dfbbbbbbbbbbbbbbbbfcbbbfd dfbbbccbbbbbbbefbbbbbbb deeeeeeeeeeeeeeeeeeceeeed dfbbccbbbbbbbbbebbbbbbb dc dfbcabbbbbbbbbbefbbbbbb ca dfcabbbbbbbbbbbfebbbbbb c gcebbbbbbbbbbbbbebbbbbb aa gcfbbbbbbbbbbbbbbfebbbbb c acdfbbbbbbbbbbbbbbbebbbbb gc ac dfbbbbbbbbbbbbbbbeebbbb cd cc deeeeeeeeeeeeeeeeeeeeee dc ca g cg ca dc dcg aa gcd c gcd aa ac cd ac gc cc cd ca dc dcg cacg cd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#61d3b9ff b,#a8d0beff c,#36c9a9ff d,#ddf2ecff e,#87c0a6ff f,#8ee0ceff g,#bfe5d9ff ``` ```image dccd aca dccg fcc ccf fcc acf gccd aca dccd fca dccg fcc ccf gccd acf gccd aca dccg fca dccg fcc ccf dgb gccd ddgbeeeee acf dgbbeeeeeeeebb gccd ddgbeeeeeeeeebgdd aaebeeeeeeeebggd dggbeeeeeeeebbgd bbbbbgggggddgbbeeeeeeeeeaad eeeeeeeeeeeeeeeeebbgd dccg gggggbbbbbbebggd fcc ccf gccd acf gccd aca dccg fca dccg fcc ccf gccd acf dccd aca dccg fca ccf fcc ccf gccd aca dccd aca ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Next up, a closer look at another region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#53d0b3ff b,#aad6c5ff c,#35c9a9ff d,#e6f4f0ff e,#88c0a7ff f,#7bdbc6ff g,#c7e8deff ``` ```image eeeeeebggdgee bbgd eeg beb deed d beb gca deed fcf eeg acg gee gcc eeg fcf gee acg deed gcc beb fcf deed ccg beb gcc gee fcf eeg ccg gee gcc eeg fcf beb ccg deed gcc beb fcf deed fccg eeg daccb gee daccg eegdaccg geeccad deeaad baee fcceed fccbbeb daccg gee daccg eeg gccad gee gccad eeg bccad beb fccf deed fccf beb daccb deed daccg beb daccg gee gccad eeg gccad gee bccf eeg fccf beb fccb deed daccg beb accg dee cad eeg ad gee d eeg beb deed beb deed ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#57d1b5ff b,#a4cebbff c,#35c9a9ff d,#dcf2ebff e,#87bfa6ff f,#81ddc9ff g,#b9e3d7ff ``` ```image g af c fa c gc cd dc cg c af c fa c gc cd dc cg c af c fa c gc cd dc cg c af c fa c gc cd dc cg c af c fa dbee cd dgeeeebgde gc dbeeeebd gb cd dgeeeebg e c dc gbeeeebd bg c cf dgeeeebg e ff c gbeeeegd ed c aeeeeebg de c eeeeeeeeeeeeeebbgggdgbeeeead e ff dddggbbbbd fc ge c cd e c dc bb ff cg e ac dc egcc af ea c ced fa dcgde c dcd e gc gc gb cd fc e dc ac bg cg ca e c cf ed af cf de c dcd e fa gcd ge c fc e gc ac bb cd cc e dc ca g cg cf c dcg af dcd c gc fa fc c ac gc ca cd cf dc cf cfcd cd ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#307310ff b,#67bed0ff c,#b1d7b1ff d,#94c692ff e,#c0e3efff f,#27a6d6ff g,#669a51ff ``` ```image e a a a gc cg a a a gc cg a a a gc cg a a a gc cg a a a gc cg a a a gc cg a a a gc cg a a a gc cg e a dddddddddddddddddddadddddddddddddddddddddddddaddc cccccccccccccccccccaccccccccccccccccccccccccacccd cccccccccccccccccccacccccccccccccccccccccccgdcccd cccccccccccccccccccaccccccccccccccccccccccdgccccd cccccccccccccccccccaccccccccccccccccccccccacccccd cccccccccccccccccccadccccccccccccccccccccaccccccd cccccccccccccccccccadcccccccccccccccccccacccccccd bb cccccccccccccccccccadccccccccccccccccccgdcccccccd eff ef cccccccccccccccccccadcccccccccccccccccdgccccccccd bfe f cccccccccccccccccccadcccccccccccccccccacccccccccd efb fe cccccccccccccccccccadccccccccccccccccaccccccccccd bfe bb cccccccccccccccccccadcccccccccccccccgdccccccccccdefb ef cccccccccccccccccccagcccccccccccccccaccccccccccffe f cccccccccccccccccccggccccccccccccccaccccccccbfbcd fe cccccccccccccccccccggcccccccccccccggccccccffccccd bb ccccccccccccccccccddgcccccccccccccaccccbfbccccccd ef ccccccccccccccccccddgccccccccccccaccbffcccccccccd f ccccccccccccccccccddgcccccccccccdgffbcccccccccccd fe ccccccccccccccccccgcgccccccccccbabccccccccccccccd bb agdccccccccccccccccgcgccccccccffgdcccccccccccccccd e cdaaagccccccccccccgcgcccccbfbccaccccccccccccccccd cccccdgaagdcccccccgcacccffccccacccccccccccccccccd ccccccccccgaaadcccacabfbcccccgdcccccccccccccccccd ccccccccccccccdgaaafaccccccccaccccccccccccccccccd ccccccccccccccccffbcacccccccacccccccccccccccccccd cccccccccccccbfbccccaccccccdgcccccccccccccccccccd cccccccccccffcccccccaccccccaccccccccccccccccccccd ccccccccbfbcccccccccacccccgdccccccccccccccccccccd ccccccffccccccccccccacccccacccccccccccccccccccccd cccbfbccccccccccccccaccccaccccccccccccccccccccccd dffcccccccccccccccccacccgdccccccccccccccccccccccd bbcccccccccccccccccccacccacccccccccccccccccccccccd ccccccccccccccccccccaccaccccccccccccccccccccccccd ccccccccccccccccccccacdgccccccccccccccccccccccccd ccccccccccccccccccccacacccccccccccccccccccccccccd ccccccccccccccccccccagdcccccccccccccccccccccccccd ccccccccccccccccccccaaccccccccccccccccccccccccccd ccccccccccccccccccccacccccccccccccccccccccccccccd ccccccccccccccccccccccccccccccccccccccccccccccccd ccccccccccccccccccccccccccccccccccccccccccccccccd ccccccccccccccccccccccccccccccccccccccccccccccccd ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#558d3eff b,#7ecae8ff c,#b1caa5ff d,#2c700aff e,#d2e6dfff f,#2aa8d8ff g,#84ac71ff ``` ```image ga ade ad gdc ad cdg ad eda ad ade dd ade dd gdc dd cdg dd eda edd ade edde ade edde gdc edde cdg cdde eda cdde ade cdde ade cdde gdc gdde cdg gdde eda gddc ade gddc ade gddc cdc addc da addc gde aadc cdg e aadc aa bff dadc gdc ebfffe dgdc edg ebfffbe dgdc ade ebffbe dgdg cdc ebfffb edcdg eda bfffbe edcdg gde ebfffb edcdg cdg bfffbe edcdg aa ebfffb cdedg gdc ebfffbe cdedg edgebffbe cdedg adfffb cd ag bgdfbe gd ag ebffda adage gd aa bfffbade cgadddagce gd aa ebfffb cdg ecgadddagce gd aa bfffbe aa ecaddddagc aa aa ebffbe gde ecgadddagce aa aa ebfffb edg cgaddddace aa aa bfffbe ad ecgadddagce aa aaebfffb cdc ecgadddagce ag adffbe eda egaddddadafadb ade ecaddabaa cdg ebffbe gd da ebfffbe gd gde bfffbe gd edg ebfffb gd ad bfffbe gd cdc ebfffb gd eda bfffbe gd ade ebffbe gd cdg ebfffbe gd da efffbe cd gde ebfffb cde edg bfffbe cde ad ebfffb cde cdc bfffbe cde eda fbe cde ade cde cdg cde da cde gde cde edg edc ad edc cdc edceda edcade edadc edda edde dg e ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4b842eff b,#73c5e6ff c,#b9cfaeff d,#2d700bff e,#cae5e8ff f,#29a7d9ff g,#729f5cff ``` ```image e d d d gc cg d d d gc cg d d d gc cg d d d gc cg d d d gc cg d d d gc cg d d d gc cg d d d gc cg e d g d a d a gc d cg d d de d de d bb de gc eff ef dc cg bfe f dc d efb fe dc d bfe bb dc ge efb ef ac a ffe f gc d bfb fe gc cc eff bb ecg d bfb ef ccg a efb f ceg egbfe fe c g edb bb agc g g ffge e cadac g g bfb a egddge g a eff d cadac a abfb cc cgdddfd d bfe a a efb d eg ffe d d bfb d ge effe d a bfb d d eff d cc fe d d d a d eg d d dge da d ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#b53f5dff b,#e8b5c2ff c,#b70f3aff d,#b86f79ff e,#b1d7b1ff f,#b59e92ff g,#96c996ff ``` ```image bcc fcd acb cc cc cc cc bcc dcd acb cc cc cc cc bca dcd ccb cc cc cc cc bca acf ccb cc cc cc bcc fcd acb cc cc cc cc bcc dcd acb cc cc cc cc bca dcd ccb cc cc cc cc bca acf ccb ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggccgggggggg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcceeeeefaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcaeeeeefad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacdeeeeefad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeedad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeedaf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeedaf afeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeaaf bccccafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcceeeeeeaaf fcccccccdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcaeeeeeeaag eeedcccccccdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccfeeeeeeaae aaaaddffaccccccafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeaae baaaaaaaaaaaaaaaaaacafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeaae eeffddaaaaaaaaaaaaaaaaaaaaadffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeaae eeeeeeeeeeeeeeffddaaaaaaaaaaaaaaaaaaaaddffeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeaae eeeeeeeeeeeeeeeeeeeeefacccccaaaaaaaaaaaaaaaaaaaaaaddffeeeeeeeeeeeeefcceeeeeeeaae eeeeeeeeeeeeeeeeeeeeeeeeedcccccccdeeeffddaaaaaaaaaaaaaaaaaaaaadffeeacdeeeeeeeaae eeeeeeeeeeeeeeeeeeeeeeeeeeeeedcccccccdeeeeeeeeeeeffddaaaaaaaaaaaaaaaaaaaaddffaae eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaccccccafeeeeeeeeeeeeeeeeeeeffdaaaaaaaaaaaaaaae eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaccccccafeeeeeeeeeeeeeeeeeeeeecceeeffddaade eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcccccccdeeeeeeeeeeeeeeeeeecceeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcccccccdeeeeeeeeeeeeeecceeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaccccccafeeeeeeeeedcaeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcccccccaeeeeeeacdeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcccccccdeeccfeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacccccccceeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefacccceeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#b53e5dff b,#e6b7c3ff c,#b80f3bff d,#d0768dff e,#f2dce2ff f,#d996a7ff g,#c65875ff ``` ```image bcca dccd gccf ccce e eccc aag bcca aag gccd aad accf aad ccce aaf ccc aaf ccg aab ccd aab ccf aab cccdb ecce aae ccccccfe bcc aae fcccccccccadb dcc aae bacccccccccgf gcc eaa ebacccccccccge acc eaa aaaaagddfbdacccccccccab eccc eaa aaaaaaaaaaaaaaaaacccccccfe bccc baa dgaaaaaaaaaaaaaaaaaaaaaaaaaaaagdfbbe dccd baa eebffdgaaaaaaaaaaaaaaaaaaaaaaaaaaaaddfbee gccf baa eeebfdgaaaaaaaaaaaaaaaaaaaaaaaaaaaagdffbee ccce faa bgcaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagdfbbe ccc faa dacccccccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagdffbee cca faa efgcccccccccdb eebfddgaaaaaaaaaaaaaaaaaaaaaaaaaaagdffbee ccd daa efcccccccccad ebffdgaaaaaaaaaaaaaaaaaaaaaaaaaaagaadbee daa ebccccccccccge ebffdgaaaaaaaaaaaaaaaaaaaaaaaaaaaa egcccccccccab ebbfdgaaaaaaaaaaaaaaaaaaaa bdacccccccccfe dcc ebbfdggaaf fgcccccccccgb gcc bdcccccccccgf ccc ebacccccccccge eccc egcccccccccade bccc dacccccccccfe dccg bdcccccccccgfe gccf bdcccccccccad ccce bacccccccccgfccc egccccccccg dacccccd bdaccb ``` <!-- end of image --> The close-up clearly shows 2 intersections point in area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b53e5dff b,#e8bcc8ff c,#b80f3aff d,#d27d93ff e,#f3dee4ff f,#dc9cadff g,#c85c78ff ``` ```image bcc dcg acf cce cc cc cc bcc dcg acb cc cc cc ecc fca gcd ccb cc cc cc ecc fca gcd cce cc cc cc bcc dcg acf cce cc cc cc bcc dcg acb cc cc cc cc fca gcd ccb cc cc cc ecc fca gcd cce cc cc cc bcc bag dcg bag acf fad cce daf cc daf cc gab ab cc gab bccccge bcc aae fcccccccd dcg aae egcccccccf acb aa eaaaagdffaccccccab cc aa baaaaaaaaaaaaaaaaaacge cc aa ebfdgaaaaaaaaaaaaaaaaaaagdfbe cc aa ebfdgaaaaaaaaaaaaaaaaaaaagdfbe cc aa bacccccaaaaaaaaaaaaaaaaaaaaagdfbe bca aa fcccccccge ebfdgaaaaaaaaaaaaaaaaaaagdfbe gcd aa dcccccccf ebfdgaaaaaaaaaaaaaaaaaaaagdfbaa egccccccab ebfdgaaaaaaaaaaaaaa baccccccge cc ebfdgaf fcccccccd cc edcccccccf ecc bgccccccab fca fcccccccge gcd dcccccccd cce egcccccccc bacccc fb ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#37ad23ff b,#f1154cff c,#b1d7b1ff d,#68bc59ff e,#dd99a0ff f,#e1536fff g,#94cb92ff ``` ```image ggggggggggggggggggggggggggggggggggggggggggggggggggggg cccddcccccccccccccccccccccccccccccccccccccccccccccccc ccaaacccccccccccccccccccccccccccccccccccccccccccccccc ccaaaaccccccccccccccccccccccccccccccccccccccccccccccc cccaaagcccccccccccccccccccccccccccccccccccccccccccccc cccdaaacccccccccccccccccccccccccccccccccccccccccccccc ccccaaaaccccccccccccccccccccccccccccccccccccccccccccc ccccgaaagcccccccccccccccccccccccccccccccccccccccccccc cccccdaaacccccccccccccccccccccccccccccccccccccccccccc ccccccaaaaccccccccccccccccccccccccccccccccccccccccccc ccccccgaaagcccccccccccccccccccccccccccccccccccccccccc cccccccaabbeccccccccccccccccccccccccccccccccccccccccc ccccccccabbbfcccccccccccccccccccccccccccccccccccccccc ccccccccebbbbbccccccccccccccccccccccccccccccccccccccc ccccccccfbbbbbbeccccccccccccccccccccccccccccccccccccc ccccccccbbbfbbbbbcccccccccccccccccccccccccccccccccccc ccccccccbbbaabbbbbccccccccccccccccccccccccccccccccccc ccccccccbbbaaabbbbbfccccccccccccccccccccccccccccccccc ccccccccbbbcaaadbbbbbcccccccccccccccccccccccccccccccc caaa ccccccccbbbcdaaacbbbbbccccccccccccccccccccccccccccccc gaaaaaa cccccccebbfccaaaacfbbbbfccccccccccccccccccccccccccccc cdaaaaaaaaac cccccccfbbfcccaaadccbbbbbcccccccccccccccccccccccccccc caaaaaaaaaag cccccccbbbecccdaaacccbbbbbecccccccccccccccccccccccccc daaaaaaaaaac cccccccbbbcccccaaaacccfbbbbfccccccccccccccccccccccccc cdaaaaaaaaad cccccccbbbccccccaaagccccbbbbbcccccccccccccccccccccccc gaaaaaaaaaac cccccccbbbccccccdaaacccccbbbbbecccccccccccccccccccccc daaaaaaaaadc ccccccebbbcccccccaaaacccccebbbbbccccccccccccccccccccccaaaaaaaaaag ccccccfbbfcccccccgaaagccccccbbbbbcccccccccccccccccdaaaaaaaaaac ccccccfbbeccccccccdaaacccccccfbbbbfcccccccccccgaaaaaaaaaad ccccccbbbccccccccccaaaacccccccebbbbbcccccccdaaaaaaaaaag ccccccbbbccccccccccgaaagccccccccbbbbbeccgaaaaaaaaaagc ccccccbbbcccccccccccaaaacccccccccfbbbbfcaaaaaaadccccc ccccccbbbccccccccccccaaadccccccccccbbbbbaaaagcccccccc cccccebbbccccccccccccgaaagccccccccccbbbbbaacccccccccc cccccfbbfcccccccccccccaaaacccccccccccfbbbbbcccccccccc cccccbbbeccccccccccccccaaadccccccccccccbbbbbccccccccc cccccbbbcccccccccccccccgaaaccccccccccccdbbbbbeccccccc cccccbbbccccccccccccccccaaaacccccccccccdadbbbbbcccccc cccccbbbcccccccccccccccccaaadccccccccccaaagbbbbbccccc cccccbbbcccccccccccccccccdaaaccccccccccaaagcfbbbbfccc ccccebbbccccccccccccccccccaaaacccccccccaaacccebbbbbcc ccccfbbfcccccccccccccccccccaaadccccccccaaacccccbbbbbe ccccbbbecccccccccccccccccccdaaaccccccccaaaccccccfbbbbe ccccbbbcccccccccccccccccccccaaaacccccccaaaccccccccbbbbe ccccbbbccccccccccccccccccccccaaagcccccgaaacccccccccbbbbe ccccbbbccccccccccccccccccccccdaaacccccgaaaccccccccccbbbbe ccccbbbcccccccccccccccccccccccaaaaccccdaadcccccccccccbbbbe cccebbfcccccccccccccccccccccccgaaaccccaaagccccccccccc bbbbf gggfbbfggggggggggggggggggggggggaaaggggaaagggggggggggg bbbbf bbb daac aaa bbbbf bbb gaag aaa bbbbf bbb caad aaa fbbbf bbb caaa aaa fbbbb ebbb aaa aaa fbbbb ebbf aaa caad fbbbb fbbe aaa gaad fbbbb bbb aaa daac ebbbb bbb aaa aaac ebbbb e aaac aaa ebbbb daac aaa ebbbb gaad aaa ebbbb caad aaa ebbbb aaa aaa bbbb aaacaaa bbbb aaagaad bbbb aaadaag bbbb aaaaaac bbbb aaaaaa bbbb aaaaaa bbbb daaaaa bbbbe gaaaaa bbbbe caaaaa bbbbe aaaaa bbbbe aaaad bbb aaaag b aaaac aaaa aaaa daaa daaa caaa caaa aac ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#37ad24ff b,#f1154cff c,#addda5ff d,#72c363ff e,#f798b0ff f,#f3557cff g,#ede0dbff ``` ```image c gdac caaaag gdaaaaad aaaaaaac caaaaaaag daaaaaad aaaaaaac caaaaaaag daaaaaad gaaaaaaac caaaaaaa daaaaaad gaaaaaaac caaaaaaa daaaaaad gaaaaaaag caaaaaaa daaaaaac gaaaaaaag caaaaaad aaaabbbbg gaabbbbbbe dabbbbbbbfg dbbbbbbbbbe ebbbbbbbbbbf ebbbbbbbbbbbfg fbbbbbbbbbbbbbe fbbbbbbbbbbbbbbf bbbbbbbbbbbbbbbbbg bbbbbbaabbbbbbbbbbe gbbbbbbaaabbbbbbbbbbfg ebbbbbbaaaaabbbbbbbbbbg ebbbbbfaaaaaabbbbbbbbbbe fbbbbbecaaaaaafbbbbbbbbbfg fbbbbbe daaaaaadbbbbbbbbbbe bbbbbbg gaaaaaaacfbbbbbbbbbf gbbbbbbg caaaaaaa ebbbbbbbbbfg gbbbbbb daaaaaac gbbbbbbbbbbe ebbbbbf gaaaaaaag fbbbbbbbbbf ebbbbbf caaaaaad ebbbbbbbbbbg fbbbbbe aaaaaaac gfbbbbbbbbbe bbbbbbe gaaaaaaag fbbbbbbbbbfg bbbbbbg daaaaaad ebbbbbbbbbbg gbbbbbb aaaaaaac gfbbbbbbbbbe ebbbbbb caaaaaaag ebbbbbbbbbfg ebbbbbf daaaaaad gbbbbbbbbbbe fbbbbbf aaaaaaac fbbbbbbbbbf fbbbbbe caaaaaaag ebbbbbbbbbfg bbbbbbe daaaaaad gbbbbbbbbbbe bbbbbbg gaaaaaaac fbbbbbbbbbf gbbbbbb caaaaaaa ebbbbbbbbbbg ebbbbbb daaaaaad gfbbbbbbbbbe gcd ebbbbbf gaaaaaaac fbbbbbbbbbfg cdaaaa fbbbbbf caaaaaaa ebbbbbbbbbbe gcdaaaaaaa fbbbbbe daaaaaad gfbbbbbbbbbe gcdaaaaaaaaaa bbbbbbe gaaaaaaag ebbbbbbbbbfg cdaaaaaaaaaaaaaa gbbbbbbg caaaaaaa gbbbbbbbbbbe gcdaaaaaaaaaaaaaaaaa gbbbbbb daaaaaac fbbbbbbbbbf cdaaaaaaaaaaaaaaaaaaaad ebbbbbf gaaaaaaag ebbbbbbbbbfg gaaaaaaaaaaaaaaaaaaaadg ebbbbbf caaaaaad gbbbbbbbbbbe aaaaaaaaaaaaaaaaadcg fbbbbbe daaaaaac fbbbbbbbbbf caaaaaaaaaaaaaadc fbbbbbe gaaaaaaag ebbbbbbbbbbgcaaaaaaaaaadcg bbbbbbg daaaaaad gfbbbbbbbbbfaaaaaaadcg gbbbbbbg aaaaaaac ebbbbbbbbbbaaaad ebbbbbb caaaaaaag ebbbbbbbbbbaaac ebbbbbf daaaaaad gfbbbbbbbbbbac fbbbbbf aaaaaaac ebbbbbbbbbbg fbbbbbe caaaaaaag gbbbbbbbbbbe bbbbbbe daaaaaad fbbbbbbbbbf bbbbbbg gaaaaaaac ebbbbbbbbbfg gbbbbbb caaaaaaa cabbbbbbbbbbe ebbbbbb daaaaaad daabbbbbbbbbbf ebbbbbf gaaaaaaac daaaabbbbbbbbbbg fbbbbbf caaaaaaa daaaaabbbbbbbbbbe fbbbbbe daaaaaad aaaaaacebbbbbbbbbfg bbbbbbe gaaaaaaag aaaaaag ebbbbbbbbbbe bbbbbbg caaaaaaa gaaaaaag gfbbbbbbbbbe gbbbbbb daaaaaac gaaaaaa ebbbbbbbbbfg ebbbbbb gaaaaaaag caaaaaa gbbbbbbbbbbe ebbbbbf caaaaaad caaaaad fbbbbbbbbbf fbbbbbe daaaaaac caaaaad ebbbbbbbbbbg fbbbbbe gaaaaaaag daaaaad gfbbbbbbbbb bbbbbbg daaaaaad daaaaac fbbbbbbbb gbbbbbbg aaaaaaac aaaaaac ebbbbbbb gbbbbbb caaaaaaag aaaaaag gfbbbbb ebbbbbf daaaaaad aaaaaag ebbbb ebbbbbf aaaaaaac gaaaaaa ebbb fbbbbbe caaaaaaag caaaaaa ebb bbbbbbe daaaaaad caaaaad eb bbbbbbg gaaaaaaac caaaaad e gbbbbbb caaaaaaa daaaaad ebbbbbb daaaaaad daaaaac ebbbbbf gaaaaaaa daaaaac fbbbbbf caaaaaa aaaaaac ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#37ad24ff b,#f1154cff c,#addda6ff d,#76c568ff e,#f792abff f,#f4517aff g,#ece0daff ``` ```image dc gaaa aaaa aaac daaa aaaa gaaac daaa aaaa gaaag aabbg abbbf ebbbbb fbbbbbbe bbbbbbbbb bbbaabbbbbg bbbaaabbbbbe bbb aaadbbbbb caaa gbbb caaa bbbbbg daaaaaa ebbf aaaa fbbbbf gdaaaaaaaaac fbbe aaac gbbbbb caaaaaaaaaac bbbg daaa bbbbbg daaaaaaaaaac bbb aaaa ebbbbf caaaaaaaaaad bbb aaac bbbbb caaaaaaaaaac bbb daaa fbbbbe gdaaaaaaaaadg gbbb aaaa ebbbbb caaaaaaaaaad ebbf gaaac bbbbbg daaaaaaaaaac fbbe daaa fbbbbe gdaaaaaaaaadg bbbg aaaa gbbbbb caaaaaaaaaac bbb gaaag bbbbbg gaaaaaaaaaag bbb aaaa fbbbbf aaaaaaad bbb aaad gbbbbbaaaac gbbb caaag bbbbbaa ebbf aaaa ebbbbb bbbe aaad bbbbb bbb caaa cbbbbbe bbb aaaa daabbbbb bbb aaad aaacbbbbbg bbb caaa aaag fbbbbe ebbb aaaa aaa gbbbbb fbbe aaac aaa bbbbbg bbbg daaa aaa fbbbbe bbb aaaa aaa gbbbbe bbb aaac gaaa bbbbe bbb daaa caad bbbbe gbbb aaaa daad bbbbe ebbf gaaa aaac bbbbf fbbe aaag aaag bbbbf bbbg daac aaa bbbbf bbb daad aaa bbbbf bbb caad aaa fbbbf bbb gaaa aaa fbbbb gbbb aaa gaaa fbbbb ebbf aaa caaa fbbbb fbbe aaa daad fbbbb bbbg aaa daac ebbbb bbb aaa aaag ebbbb ge aaag aaa ebbbb daac aaa ebbbb daad aaa ebbbb caaa aaa gbbbb gaaagaaa gbbbb aaacaaa gbbbb aaacaad gbbbb aaadaac gbbbbg aaaaaag bbbbg aaaaaa bbbbg aaaaaa bbbbg daaaaa bbbbg caaaaa bbbbe caaaaa bbbbe aaaaa bbbbe aaaad bbb aaaac b aaaac aaaa aaaa aaaa daaa caaa gaaa aag ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#7e4780ff b,#bcf7d0ff c,#a993abff d,#b2d7b2ff e,#5c045eff f,#a2cea2ff g,#edf5eeff ``` ```image c aeeg eee aeec eee ceec eee ceec eee ceec eee ceea eee ceea eee deea eee geea eee geee eee geee eeeg c geee cee eeeg eeee eee eeee eeeg eeeeg eee eeeeg aeeg aeeec eee aeeec aeed ceeea eee deeea aeec geeee eee eeee aeec eeeeggggggggggggggggggggggggggggggggggggggggggggggggeeegggg eeeeffffffffffffffffffffffffffffffffffffffffffffffaeeaffff eeeecddddddddddddddddddddddddddddddddddddddddddddeeeddddf aeeecddddddddddddddddddddddddddddddddddddddddddaeeaddddf aeeeadddddddddddddddddddddddddddddddddddddddddeeedddddf fceeeadddddddddddddddddddddddddddddddddddddddceeadddddf fdceeeeddddddddddddddddddddddddddddddddddddddeeeddddddf fddfeeeeddddddddddddddddddddddddddddddddddddceeaddddddf fddddeeeedddddddddddddddddddddddddddddddddddeeedddddddf fdddddeeeedddddddddddddddddddddddddddddddddceeadddddddf fddddddeeeefddddbbbbbbdddddddddddddddddddddeeeddddddddf g fdddddddeeeadbbbbbbbbbbbbdddddddddddddddddceeaddddddbbbbbbb fdddddddbbbbbbbbbbbbbbbbbbbbbdddddddddddddeeeddbbbbbbbbbbbb fddddbbbbbbbbbddddddddbbbbbbbbbbbddddddddffbbbbbbbbbbbbbbbb fbbbbbbbbbbfeeeaddddddddddbbbbbbbbbbbbbbbbbbbbbbbbbdddf bbg bbbbbbbbbbbddddceeeedddddddddddddbbbbbbbbbbbbbbbbddddddddf bbb bbbbbbbbdddddddddfeeeeddddddddddddddddbbbbbbcaedddddddddddf bbb gbbbbbfddddddddddddddeeeeddddddddddddddddddddfeeedddddddddddf bbb bbbbb fdddddddddddddddeeeedddddddddddddddddddeeefdddddddddddf bbg bbbbg fddddddddddddddddeeeefdddddddddddddddddeeeddddddddddddf bbb gbbbb fdddddddddddddddddeeeecdddddddddddddddeeefddddddddddddf bbb bbbbb fddddddddddddddddddaeeecddddddddddddddeeedddddddddddddf bbb bbbbg fdddddddddddddddddddaeeeaddddddddddddeeefdddddddddddddf gbbg gbbbb fddddddddddddddddddddceeeadddddddddddeeeddddddddddddddf bbb bbbbb fdddddddddddddddddddddfeeeedddddddddaeecddddddddddddddf bbb bbbg fddddddddddddddddddddddfeeeeddddddddeeedddddddddddddddf bbb b fffffffffffffffffffffffffeeeeffffffaeecffffffffffffffff gbbg ggggggggggggggggggggggggggeeeegggggeeeggggggggggggggggg bbb eeeeg aeec bbb aeeed eee bbb aeeeaeec gbbg ceeeee bbb deeec bbb gee bbb gbbg bbb bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#722674ff b,#bdf7d1ff c,#aa85adff d,#d1bbd2ff e,#5c035eff f,#8b518eff g,#e4f3eaff ``` ```image f geeeeea eag ceeeeec eeag geeeeee eeead ceeeeec eeeeed geeeeeeg eeeeeed ceeeeec eeeeeeec geeeeeeg ceeeeeeec ceeeeec ceeeeeeef aeeeeeg ceeeeeeef ceeeeef deeeeeeeag aeeeeeg daeeeeeeag ceeeeef gaeeeeeead aeeeeeg gaeeeeeeed deeeeef gfeeeeeeed aeeeeed feeeeeeec deeeeef ceeeeeeec aeeeeed ceeeeeeef deeeeef deeeeeeef ggbbbg aeeeeed deeeeeeeag ggbbbbbbbbbbgg deeeeef daeeeeeeag ggbbbbbbbbbbbbbbbbbbgg feeeeed gaeeeeeacbbbbbbbbbbbbbbbbbbbbbbbbbbg deeeeea ggbb gaafcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgg feeeeed ggbbbbbbb ggbbbbbbbbbbbbbbbbbbbbgbbbbbbbbbbbbbbbbbbbgg deeeeea gggbbbbbbbbbbbb ggbbbbbbbbbbbbbbbbbbbbgg gbbbbbbbbbbbbbbbbbbbbgg feeaffbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbbbgg ggbbbbbbbbbbbbbbbbbbbbg gccbbbbbbbbbbbbbbbbbbbbbb ggbbbbbbbbbbbbbbbbbbbcfaef ggbbbbbbbbbbbbbbbbbbbgg ggbbbbbbbbbbbbbbbbbbbbbbbbbbbg ggbbbbbbbbbbbbbbbbbbbbdaeeeeeefg gbbbbbbbbbbbbbbbbbbbbggbbbbbbbbbbbbbbbbbbbbbbbbbbbgg bbbbbbbbbbbbbbbbbbgg deeeeeeeag ggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgg bbbbbbbbbbbbbbgg daeeeeeeag ggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggg bbbbbbbbbbgg gaeeeeeead ggbbbbbbbbbbbbbbbbbbbbdcdg bbbbbbbg gaeeeeeeed gbbbbbbbbbbbbbcfaeea bbbgg feeeeeeec ggbbbbgg ceeeeec g feeeeeeec geeeeeeg ceeeeeeec ceeeeec ceeeeeeef geeeeeeg deeeeeeefg ceeeeec deeeeeeeag eeeeeeg daeeeeeeag ceeeeec gaeeeeeeed aeeeeeg gaeeeeeeed ceeeeef feeeeeeec aeeeeeg feeeeeeec ceeeeef ceeeeeeef aeeeeed ceeeeeeef deeeeef deeeeeeefg aeeeeed deeeeeeeag deeeeef daeeeeeead aeeeeed gaeeeeeeed deeeeef gaeeeeeeed aeeeeed feeeeeeec deeeeea feeeeeeec feeeeed ``` <!-- end of image --> Case closed! This is definitely 2 intersections point in area A. Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#742b76ff b,#bdf7d1ff c,#b28eb4ff d,#d3bfd4ff e,#5c035eff f,#925693ff g,#e5f4ebff ``` ```image c feeg eee feec eee feec eee ceec eee ceef eee ceef eee deef eee deea eee deea eee geea eee geee eeeg c geee dee eeeg eeee eee eeee aeeg eeeeg eee aeeed aeed aeeed eee feeec aeed ceeef eee deeea feed geeee eee eeee feec eeee eee eeeeg feec aeeed eee aeeed ceec feeec eee ceeef ceef deeea eee geeee ceef eeee eee eeee deef eeeeg gbbbbbg eee g aeeabbbbbbbbbbbbbg deea gbbbbbb gbbbbbbbbbbbbbbbbbbbbg eee ggbbbbbbbbbbb gbbbbbbbbbbg gbbbbbbbbbb dcbbbbbbbbbbbbbbbb gbbbbbbbbbbdeeef bbbbbbbbbbgbbbbbbbbbbbbbbg bbg gbbbbbbbbbg deeea gbbbbbbbbbbbbbbbbg bbb bbbbbbbb geeee gbbbbbbcae bbb gbbbbbg eeee geee gbb bbbbb eeee eeeg bbg bbbbg eeeeg eee bbb gbbbb aeeed aeeg bbb bbbbb feeec eee bbb bbbbg ceeef aeed gbbg gbbbb deeea eee bbb bbbbb deeea aeed bbb bbbg geeee eee bbb b eeee feed gbbg eeee eee bbb eeeeg feec bbb aeeed eee bbb feeeaeec gbbg ceeeee bbb deeec bbb gee bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#a8c613ff b,#1d5931ff c,#b1d7b1ff d,#e2ecb2ff e,#9ac691ff f,#b8d259ff g,#5c8e68ff ``` ```image d aaf aaaa faaaa daaaaad aaaaaaa aaaa aaa aaa aaad d af faaf daa aaa faaf aaa aaaa faaf aaaa daaa aaaaf aaa aaaaa aaad aaaaa daaa daaaaaf aaa daafaaa aaa faadaaa faaf aaa aaad aaa aaa daaa aaa aaa aaa aaad aaa aaad daaa aaa daaa aaa daaa aaa aaad daaf aaad faaf faad faaf aaa aaad aaa aaa aaa aaa faaf aaa faaf daaa aaa aaa aaa aaa aaa aaad daaa faaf daaa daaf daaa aaa faad aaa aaa aaad aaad faaf aaa daaa aaa aaa aaa aaa aaa aaad aaad aaa daaa daaa aaa aaa aaa daaf aaad aaad faaf faaf faaf aaad aaa aaa aaa aaa aaa aaa faaf faaf aaa aaa daaa aaa aaa aaa aaa faaf aaad daaf daaa daaa faaf aaa aaa faad aaad aaa aaa daaa faaf aaa aaa eccccceaaaccccccccccccccccccccccccccccccaaaccccccccccccccccaaaecccccccccc eccccccaaaccccccccccccccccccccccccccccccaaaccccccccccccccccfaaacccccccccc eccccccaaafcccccccccccccccccccccccccccccaaacccccccccccccccccaaacccccccccc ecccccceaaacccccccccccccccccccccccccccceaaacccccccccccccccccaaaeccccccccc ce ecccccccaaaccccccccccccccccccccccccccccfaafcccccccccccccccccfaaaccccccccc bbbbgc ecccccccaaaecccccccccccccccccccccccccccaaafccccccccccccccccccaaaccccccccc bbbbbbbbg ecccccccfaaacccccccccccccccccccccccccccaaacccccccccccccccccccaaaccccccccc cbbbbbbbbbbbgccccccccaaacccccccccccccccccccccccccccaaacccccccccccccccccccfaafcccccccc ebbbbbbbbbbbeccccaaacccccccccccccccccccccccccccaaaccccccccccccccccccccaaacccccccc gbbbbbbbbbbgeaaafccccccccccccccccccccccccccaaaccccccccccccccccccccaaacccccccc cbbbbbbbbbbaaaccccccccccccccccccccccccccaaaccccccccccccccccccccaaafccccccc eccgbbbbbbaaabbgcccccccccccccccccccccceaaacccccccccccccccccccceaaaccccccc eccccccgbbaaabbbbbbeccccccccccccccccccfaafcccccccccccccccccccccaaaccccccc ecccccccccfaaabbbbbbbbgeccccccccccccccfaafcccccccccccccccccccccaaafcccccc eccccccccccaaaebbbbbbbbbbbgcccccccccccaaaeccccccccccccccccccccceaaacccccc eccccccccccaaaccccgbbbbbbbbbbbecccccccaaacccccccccccccccccccccccaaacccccc eccccccccccfaafccccccegbbbbbbbbbbgecccaaacccccccccccccccccccccccaaaeccccc ecccccccccccaaaccccccccccebbbbbbbbbbbgaaaeecccccccccccccccccccccfaaaccccc ecccccccccccaaaccccccccccccccgbbbbbbbbaaabbbbbgccccccccccccccccccaaaccccc ecccccccccccaaafcccccccccccccccccgbbbbaaabbbbbbbbgcccccccccccccccaaaecccc eccccccccccceaaaccccccccccccccccccccefaaabbbbbbbbbbbgccccccccccccfaaacccc eccccccccccccaaacccccccccccccccccccefaaafccccebbbbbbbbbgccccccccccaaacccc eccccccccccccaaaecccccccccccccfaaaaaaaaaecccccccebbbbbbbbbgcccccccaaacccc eccccccccccccfaaacccccccefaaaaaaaaaaaaaacccccccccccebbbbbbbbbgccccfaafccc ecccccccccccccaaaccfaaaaaaaaaaaaaaaafeccccccccccccccccebbbbbbbbbgccaaaccc ecccccccccccccaaaaaaaaaaaaaaaaffcccccccccccccccccccccccccebbbbbbbbbaaaccc ecccccccccccccaaaaaaaaaaafecccccccccccccccccccccccccccccccccebbbbbbaaaecc eccccccccccccccaaaaffccccccccccccccccccccccccccccccccccccccccccebbbbbbccc ecccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbbccc ecccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccceccc ecccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a7c512ff b,#1d5931ff c,#93b09dff d,#e0e9ccff e,#d5e38fff f,#bed453ff g,#5f8a6aff ``` ```image aaaaa eaaaf eaaaa faaaa faaae aaaaf eaaaa faaae aaaaa daaaad aaaad aaaaad faaaf daaaa eaaaaa daaaa daaaa daaaaa aaaad eaaaa aaaaa eaaaa faaaa daaaad daaaad faaaa aaaae aaaaf aaaaa daaaa aaaaa daaaaa aaaae gd aaaaa daaaaa aaaaf bbbbbbg eaaaa eaaaaf aaaaad bbbbbbbbgc aaaad faaaae faaaaf bbbbbbbbbbbgc faaae faaaae eaaaaa cbbbbbbbbbbbbbbaaaad aaaaad faaaa cgbbbbbbbbbbbaaaagc aaaaa eaaaa dcgbbbbbbbbaaaaabbgc aaaaa daaaad cgbbbaaaaabbbbbbbgc aaaaf eaaaf cgaaaaaabbbbbbbbbgc aaaae daaaad daaaaabbbbbbbbbbbbbbgcd aaaad aaaaf faaaacgbbbbbbbbbbbbbbbgcd aaaad aaaaa eaaaa cgbbbbbbbbbbbbbbbgc aaaa aaaaa aaaae cgbbbbbbbbbbbbbbbgcd daaaf eaaaa faaaf cgbbbbbbbbbbbbbbbgcd eaaaf aaaad eaaaa cgbbbbbbbbbbbbbbbgcd eaaae faaaf aaaae dgbbbbbbbbbbbbbbaaaabbbbbbgd daaaad aaaaf cgbbbbbbbbbbbaaaabbbbbbbbbd faaae aaaaae gbbbbbbaaaabbbbbbbbbbbbbc daaaad faaaaf dgbbbaaaabbbbbbbbbbbbbbbcd aaaae daaaaa dfaaaagbbbbbbbbbbbbbbbbcd aaaaf faaaa deeaaaaa dcbbbbbbbbbbbbbc aaaaa eaaaa defaaaaaaaaa dcbbbbbbbbbbbbbc faaaa daaaad defaaaaaaaaaaaaa dcbbbbbbbbbbbbgcd daaaa eaaaf defaaaaaaaaaaaaaaaaaaaae dbbbbbbbbbbbbbgd faaaf daaaa eefaaaaaaaaaaaaaaaaaaaaaafd dcbbbbbbbbbbbbgc eaaaa aaaae dffaaaaaaaaaaaaaaaaaaaaaaffd dcbbbbbbbbbbbbgcd aaaad aaaaaaaaaaaaaaaaaaaaaaaafed gbbbbbbbbbbbbbaaaaa aaaaaaaaaaaaaaaaaaaafe dbbbbbbbbbbbaaaaad eaaaaaaaaaaffe dgbbbbbbgaabbd aaaaaaaeed gbbbbbbbbb dfffe dbbbbbbg cgb d ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a8c612ff b,#1e5a32ff c,#b4c8b9ff d,#e6eec8ff e,#d2e187ff f,#bcd34dff g,#799d85ff ``` ```image d aae aaaa faaaa daaaaae aaaaaaa aaaa aaa daaa aaad d ae eaaf daad aaa faaf aaa aaaa faae aaaa daaa aaaaf aaa aaaaa aaad aaaaa eaaa daaaaae aaa eaafaaa aaa faaeaaa faaf aaadaaae aaa aaa daaa aaa aaa aaa aaae aaa aaad daaa aaa eaaa aaa daaa aaa aaad eaaf aaad eaaf faae eaaf aaa aaad aaa aaa aaa aaa faae aaa faaf daaa aaa aaa aaa aaa aaa aaad daaa faae eaaa eaaf daaa aaa faae aaa aaa aaad aaae faaf aaa daaa aaa aaa aaa aaa aaa aaad aaae aaa eaaa daaa aaa aaa aaa daaf aaad aaad eaae eaaf eaaf faad aaa aaa aaa aaa aaa aaa faaf faae aaa aaa daaa aaa aaa aaa aaa faae aaad daaf daaa eaaa eaae aaa aaa faad aaae aaa aaa daaa faaf aaa aaa aaa aaa aaad aaa aaa eaaa aaae aaa aaa daaa daaf aaad cc aaa eaaf eaaf bbbbbc aaad faae aaa bbbbbbbbgd eaaf aaad aaa cbbbbbbbbbbbg aaa aaa faaf gbbbbbbbbbbbc aaa aaa aaa dgbbbbbbbbbbgdfaae aaa aaa cbbbbbbbbbbaaa aaa faae cbbbbbbaaabbc daaa daaa gbbaaabbbbbbc eaaf aaa eaaabbbbbbbbgd faae aaae aaacbbbbbbbbbbbg aaad daaa aaa gbbbbbbbbbbbc aaa aaa faaf dgbbbbbbbbbbgd aaa aaad aaa cbbbbbbbbbbbgaaacd eaaa aaa cbbbbbbbbaaabbbbbg aaa aaae gbbbbaaabbbbbbbbg aaad daaa dfaaabbbbbbbbbbbg eaaf aaa deaaae dbbbbbbbbbg aaa aaad efaaaaaaaad dbbbbbbbbbg aaa eaaf dfaaaaaaaaaaaaaa dbbbbbbbbbg faaf aaa defaaaaaaaaaaaaaaaed cbbbbbbbbbg aaa aaaaaaaaaaaaaaaafe cbbbbbbbbbaaa faaaaaaaaaaed cbbbbbbaaac aaaafd cbbbbbb cbbb d ``` <!-- end of image -->
[ "" ]
Based on a first glance, I suspect there could be intersection regions here. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#c53c52ff b,#bf9f98ff c,#b4105bff d,#f1d0dbff e,#c06b7aff f,#b1d7b1ff g,#96c995ff ``` ```image d ae bead a a da da ad ba a ab eb ad a a de da a ba a ab ad ad a a bb da c a ee cc da ab dcdad a ad dc ed a a bc bb ed da ec be a ee ac de be ad ce da a a cb c da a cd c ad ba dcd c a ee dc c eb fgabggggggggggggggggggggecgggggggggggggcggggggg gggggggggggaggggggf gffafffffffffffffffffffecffffffffffffffcfffffff ffffffffffbeffffffg gfffafffffffffffffffffacfffffffffffffffcfffffff ffffffffffafffffffg gfffeafffffffffffffffcaffffffffffffffffcfffffff ffffffffffafffffffg gffffaefffffffffffffcefffffffffffffffffcfffffff fffffffffabfffffffg gfffffabfffffffffffcbffffffffffffffffffcfffffff fffffffffaffffffffg gffffffaffffffffffcbfffffffffffffffffffcfffffff ffffffffeeffffffffg gffffffbafffffffbcfffffffffffffffffffffabffffff ffffffffafffffffffg gfffffffeafffffbcffffffffffffffffffffffebffffff fffffffbafffffffffg gffffffffaefffecfffffffffffffffffffffffeeffffff fffffffaffffffffffg gfffffffffabfacffffffffffffffffffffffffbeffffff fffcbffaffffffffffg gffffffffffacafffffffffffffffffffffffffbaffffff ffffccabffffffffffg gffffffffffcafffffffffffffffffffffffffffcffffff ffffffacbfffffffffg gfffffffffceeaffffffffffffffffffffffffffcffffff fffffeefccbfffffffg gffffffffcbffabfffffffffffffffffffffffffcffffff fffffaffffccbfffffg gffffffbcfffffaffffffffffffffffffbaaffffcffffff ffffbaffffffccbfffg gfffffbcfffffffafffffffffffffffeaafebfffcffffff ffffafffffffffccbfg gffffecffffffffbaffffffffffffaaefffbefffcffffff ffffafffffffffffccb gfffacffffffffffeeffffffffbaabffffffafffcffffff fffebfffffffffffffccd gffccffffffffffffabfffffeaafffffffffafffcffffff fffbffffffffffffffg ccd gfcaffffffffffffffafffaaefffffffffffafffcffffff ffffffffffffffffffg ccd gceffffffffffffffffaaabfffffffffffffafffcffffff ffffffffffffffffffg ccd cbfffffffffffffffffbffffffffffffffffebffcffffff ffffffffffffffffffg ccd dcgfffffffffffffffffffffffffffffffffffbaffabfffff ffffffffffffffffffg ccd dc gffffffffffffffffffffffffffffffffffffaffebfffff ggggggggggggggggggf dccd bc gffffffffffffffffffffffffffffffffffffaffeefffff dccdec gffffffffffffffffffffffffffffffffffffaffeefffff dcc gffffffffffffffffffffffffffffffffffffebfbefffff gffffffffffffffffffffffffffffffffffffbefbafffff gfffffffffffffffffffffffffffffffffffffaffcfffff gfffffffffffffffffffffffffffffffffffffaffcfffff gfffffffffffffffffffffffffffffffffffffaffcfffff gfffffffffffffffffffffffffffffffffffffaffcfffff gfffffffffffffffffffffffffffffffffffffebfcfffff gfffffffffffffffffffffffffffffffffffffbafcfffff gffffffffffffffffffffffffffffffffffffffafcfffff gffffffffffffffffffffffffffffffffffffffafcfffff gffffffffffffffffffffffffffffffffffffffafcfffff gffffffffffffffffffffffffffffffffffffffebcfffff gffffffffffffffffffffffffffffffffffffffbecfffff gfffffffffffffffffffffffffffffffffffffffaabffff gfffffffffffffffffffffffffffffffffffffffaebffff gfffffffffffffffffffffffffffffffffffffffaeeffff gfffffffffffffffffffffffffffffffffffffffaeeffff gfffffffffffffffffffffffffffffffffffffffeeaffff gfffffffffffffffffffffffffffffffffffffffbacffff gffffffffffffffffffffffffffffffffffffffffacffff gffffffffffffffffffffffffffffffffffffffffacffff gffffffffffffffffffffffffffffffffffffffffacffff gffffffffffffffffffffffffffffffffffffffffecffff gffffffffffffffffffffffffffffffffffffffffbaffff gfffffffffffffffffffffffffffffffffffffffffaffff gfffffffffffffffffffffffffffffffffffffffffaffff gfffffffffffffffffffffffffffffffffffffffffaffff gffffffffffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c83a4dff b,#e096abff c,#b6135dff d,#ebbdcbff e,#ca4d75ff f,#d97785ff g,#f5dee3ff ``` ```image baf aag daf ead daa fab gaag baf aag dae ead gaa fab aag baf ead dae fab gaa g bab ced aag gccced baf bccceead bccaad eacced gaabccced baf bccced aag bccced dae bccced ead bccced gaa bccced fab bccced gaag bccced baf bccced ead bccc dae bc fab gaa bb ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Now, let's turn our attention to the next spot. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#c8394dff b,#de90a8ff c,#b50f5bff d,#e9b6c5ff e,#c84873ff f,#d46d8aff g,#f4dce3ff ``` ```image daad bccf fcb baag bccb bcb fae fccd bcb eaf eccd bcf gaab geccg dcf daad geceg dce baag gcceg gce fae dccf gce eaf dccf gcc gaad bccb cc daag fccd cc baeg fccd cc faf geccg ecg eab geceg ecg gaad gcceg ecd daag dcce fcd bae dccf fcd faf bccb fcb geab fccb bcb gaad fccd bcf daag eccd dcf fae geccg dcf eafcceg dce gaace gce dcaad gce bcceaag cc bccb fae cc fccd eaf cc eccd gaab ccg geccg daad bfd ecg geceg baag gbaaae ecg gcce fae dfaaafaa ecd dccf eaf gbeaaabg fag fcd bccf gaad gfaaaed bad fcb bccb daag deaaafg dab bcb fccd baag gbaaaabg gae bcb eccd faf dfaaafd aa bcf geccg eab deaaafg eag dcf geceg gaad gbaaaeb fad dce gcceg daag dfaaafd bab gce dcce baeg beaaabg daf gce dccf faf gfaaaed gae gcc bccb geaeaaafd aa cc fccb gaaabg fad cc ccd gd bab cc cg daf ecg g gae ecg aa ecd eag fcd fad fcd bab fcb daf bcb gaa bcb aag dcf fad dcf bab dce daf gce gae gce aa gcc eag cc fad cc bab ccg daf ecg gaa ecg aag ecd fad fcd bab fcd daf bcb gae bcb aa bcf eag dcf fad dcf bab dce daf gce gaa gce aag cc fad cc bab cc daf ccg gae ecg aa ecd eagecd fadfcd babfcb dafbcb gaabcb aabcf fabcf bafce dafce gaece aacc eacc facc baac daacg gaacg aacd facd bacd daab gaab aaf aaf eae fae daf gbd ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c8394fff b,#e4a3b5ff c,#b5105cff d,#eec7d4ff e,#cd5477ff f,#d97e96ff g,#f7e6ebff ``` ```image g af bfad a a ga ga ag ba a ef fb ad a a be da a fe ga ab ed ag a a ff da c a fe ccg de ab gcged ag ag dc eb a ga fc fb eb da ec bf a ee ac de bf ab ce de a ag cf gc ga ga cb c ag ba gcd c a ef dcg c fb ad bc c a a fc c be ga ec c a ba ce c ga ef cf c ad ad cb c a a gcd ag ff da dcg ed a fe bc fb de af fc ff a ag ec bf cd a ace de ccad ca ga acd cbfe c bf ccd gcd ab c a ccd gcg ag gaa c da ccd dc ga baaged c ag gccd fc da eaf bf c a gccd ec ee daab a c eb gccd aa ab faeg a c b gccd ce ag geaf a c gccd cf gaaad ag c gccd cd d fb cg gccd gcg de ed gccg dcg a ed gccg bc a fb gccgec a bf gcc ed be bf de a gc a c a c ag c fb c de c a c a c a c edc bfcg aed afb afb abf ffe dee ac ac ac ec ba a a a ``` <!-- end of image -->
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This image seems promising for intersection detection. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f1d49ff b,#cdb5beff c,#89667aff d,#e2d4daff e,#b1d7b1ff f,#97c596ff g,#f0f3efff ``` ```image gaa dg baaad bbb aaaa bbbb caaa gbbbbb aaac dbbbbbd aaaa dbbbbbbg gaaab bbbbbbbb aaaa bbbddbbbb baaad bbbd bbbbd aaaa bbbg bbbbg caaa bbb gbbbb aaac gbbb dbbbb aaaa dbbb bbbbd gaaab bbbb bbbbg aaaa bbbb bbbb baaad bbbd dbbbb aaaa bbbg bbbbd caaa bbbg bbbbg aaac bbb bbbb aaaa gbbb dbbbb gaaab dbbb bbbbd aaaa bbbb bbbbg baaad bbbb bbbb aaaa bbbd dbbbb caaa bbbg bbbbd aaac bbb bbbbg aaaa gbbb bbbb gaaab dbbb gbbbb aaaa dbbb bbbbd baaad bbbb bbbbg aaaa bbbd bbbb caaa bbbd gbbbb aaac bbbg bbbbb aaaa bbb bbbbfffffffffffffffffffffffg ggaaafggggggbbbgggggggg bbbbeeeeeeeeeeeeeeeeeeeeeeg gfeaaaaeeeeeebbbeeeeeeefg gbbbbeeeeeeeeeeeeeeeeeeeeeg dbb geefaaafeeeebbbbeeeeeeeeg dbbbbeeeeeeeeeeeeeeeeeeeeg gbbbg geeeaaaaeeeebbbbeeeeeeeeg bbbbeeeeeeeeeeeeeeeeeeeeg bbbb geeecaaaeeeebbbbeeeeeeeeg fbbbbeeeeeeeeeeeeeeeeeeeg dbbb geeeeaaaceeebbbeeeeeeeeeg febbbbeeeeeeeeeeeeeeeeeeg bbbb geeeeaaaaeeebbbeeeeeeeeeg febbbbbeeeeeeeeeeeeeeeeeg bbbb geeeeeaaaceebbbeeeeeeeeeg feebbbbeeeeeeeeeeeeeeeeeg bbbd geeeeeaaaaeebbbeeeeeeeeeg feeebbbbeeeeeeeeeeeeeeeeg bbbb geeeeefaaafbbbbeeeeeeeeeg feeeebbbbeeeeeeeeeeeeeeeg gbbbg geeeeeeaaaabbbbeeeeeeeeeg feeeebbbbbeeeeeeeeeeeeeeg dc bbbb geeeeeecaaabbbbeeeeeeeeeg feeeeebbbbeeeeeeeeeeeeecaaaa dbbb geeeeeeeaaabbbbeeeeeeeeeg feeeeeebbbbeeeeeeeecaaaaaaaab bbbd geeeeeeeaaabbbeeeeeeeeeeg feeeeeeebbbbeeefaaaaaaaaaaaac bbbb geeeeeeeeaabbbeeeeeeeeeeg feeeeeeebbbbbaaaaaaaaaaaab gbbbg geeeeeeeeaabbbeeeeeeeeeeg feeeeeefcbbbbcaaaaaaaceeg bbbb geeeeeeeefcbbbeeeeeeeeeeg feeecaaaaabbbbaaacfeeeeeg dbbb geeeeeeeeecbbbeeeeeeeeeeg caaaaaaaaaabbbbeeeeeeeeeg bbbb geeeeeeeeebbbbeeeeeeeeeeg bcaaaaaaaaaaaacbbbbbeeeeeeeeg bbbb geeeeeeeeebbbbaeeeeeeeeeg dcaaaaaaaaaaaaceeeeebbbbbeeeeeeeg bbbdgeeeeeeeeebbbcaeeeeeeeeeg gcaaaaaaaaaaaacfeeeeeeeeebbbbeeeeeeeg bbbbgeeeeeeeeebbbcaceeeeeeeeg baaaaaaaaaaaacdfeeeeeeeeeeeeebbbbeeeeeeg gbbbgeeeeeeeeebbbaaaeeeeeeeebaaaaaaaaaaaaab feeeeeeeeeeeeebbbbbeeeeeg bbbbeeeeeeeeebbbaaafeeefaaaaaaaaaaaaab feeeeeeeeeeeeeebbbbbeeeeg dbbbeeeeeeeeebbbaaaacaaaaaaaaaaaacg feeeeeeeeeeeeeeebbbbeeeeg bbbbeeeeeeebbbbcaaaaaaaaaaaacd feeeeeeeeeeeeeeeebbbbeeeg bbbbeeeeeeebbbbeaaaaaaaaafg feeeeeeeeeeeeeeeebbbbbeeg gbbbeeeeeeebbbbecaaaaceeeeg feeeeeeeeeeeeeeeeebbbbbeg bbbbeeeeeebbbbeeeeeeeeeeeg feeeeeeeeeeeeeeeeeebbbbeg dbbbeeeeeebbbeeeeeeeeeeeeg feeeeeeeeeeeeeeeeeeebbbbg bbbbeeeeebbbeeeeeeeeeeeeg feeeeeeeeeeeeeeeeeeeebbbb bbbbeeeeebbbeeeeeeeeeeeeg feeeeeeeeeeeeeeeeeeeebbbbd gbbbbeeeebbbeeeeeeeeeeeeg feeeeeeeeeeeeeeeeeeeeebbbbg gbbbbeeebbbbeeeeeeeeeeeeg effffffffffffffffffffffbbbb gebbbeeebbbbeeeeeeeeeeeeg dbbbb gfbbbbffbbbbffffffffffffg bbbbd dbbb bbbd bbbd bbbd bbbg b bbbb bbb gbbbdbbb bbbbbbb dbbbbbb bbbbbb dbbbbd bbbbd bbbbg gbbb bbb ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f1c48ff b,#ceb5bfff c,#956985ff d,#e0d1d7ff e,#b292a6ff f,#784065ff g,#f0e9ecff ``` ```image caaaaaaf gbbbbbbd daaaaaaab dbbbbbbd caaaaaaf dbbbbbbg baaaaaaad dbbbbbbg faaaaaac bbbbbbb eaaaaaaag bbbbbbb gaaaaaaae bbbbbbb caaaaaaf gbbbbbbd daaaaaaab gbbbbbbd caaaaaaf dbbbbbbd baaaaaaad dbbbbbbg faaaaaac dbbbbbbg eaaaaaaag bbbbbbb gaaaaaaae bbbbbbb caaaaaaf bbbbbbb daaaaaaab gbbbbbbd caaaaaaf gbbbbbbd baaaaaaad dbbbbbbg faaaaaac dbbbbbbg eaaaaaaagdbbbbbbg gaaaaaaaebbbbbbb caaaaaafbbbbbbb daaaaaafbbbbbbb caaaaafbbbbbbd baaaaacbbbbbbd faaaacbbbbbbg eaaaaebbbbbbg gaaaaebbbbbbg eaaabbbbbbb gaaabbbbbbb cafbbbbbbd bafbbbbbbd fcbbbbbbd ecbbbbbbd gebbbbbbe bbbbbbbf bbbbbbbab bbbbbbeaf gbbbbbbeaad gbbbbbbcaac dbbbbbbcaaag dbbbbbbfaaae dbbbbbbfaaaa g bbbbbbbaaaaab d bbbbbbbaaaaaf gbc b bbbbbbeaaaaaad befaaa bg gbbbbbbeaaaaaac decaaaaaaa bb gbbbbbbbaaaaaaaecaaaaaaaaaaa bbg dbbbbbbdaaaaaaaaaaaaaaaaaaaa bbd dbbbbbbgeaaaaaaaaaaaaaaaaaaa bbb dbbbbbbggaaaaaaaaaaaaaaaaaaa bbbd bbbbbbb caaaaaaaaaaaaaaaafe bbbb bbbbbbb daaaaaaaaaaaafcbg bbbbg bbbbbbb caaaaaaafcbg bbbbd gbbbbbbd gcaaaced bbbbbg gbbbbbbd gg bbbbbd dbbbbbbg bbbbbb dbbbbbbg bbbbbbg dbbbbbbg bbbbbbb bbbbbbb bbbbbbbg bbbbbbb dbbbbbbd gbbbbbbb gbbbbbbb gbbbbbbd bbbbbbbd gbbbbbbd dbbbbbbb dbbbbbbg bbbbbbbg dbbbbbbg dbbbbbbd dbbbbbbg gbbbbbbbg bbbbbbb ``` <!-- end of image --> Success! This area contains 1 intersection point! Let's move forward and inspect another region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f1c48ff b,#ceb5bfff c,#956986ff d,#dccbd2ff e,#b292a6ff f,#7c4568ff g,#ede5e9ff ``` ```image bbg bbb bbbd bbbbd bbbbbg bbbbbb bbbbbbd bbbbbbbd bbbbbbbbg gbbbbbbbb dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbbg dbbbbbbbb bbbbbbbbd gbbbbbbbbg gbbbbbbbbg dbbbbbbbb bbbbbbbbd gbbbbbbbbg gbbbbbbbbg dbbbbbbbb bbbbbbbbd gbbbbbbbbg gb gbbbbbbbbg defaa dbbbbbbbb decaaaaaa bbbbbbbbd gecaaaaaaaaaa gbbbbbbbbg gbcfaaaaaaaaaaaaa gbbbbbbbbg befaaaaaaaaaaaaaaaaa dbbbbbbbbaaaaaaaaaaaaaaaaaaaaa bbbbbbbbeaaaaaaaaaaaaaaaaaaaf gbcfbbbbbbbbcaaaaaaaaaaaaaafcbg gbcfaaaafbbbbbbbbfaaaaaaaaaacbg defaaaaaaaaacbbbbbbbbaaaaaaced defaaaaaaaaaaaaaaebbbbbbbeafed ecaaaaaaaaaaaaaaaaaafbbbbbbbbd aaaaaaaaaaaaaaaaaaaaafbbbbbbbbg aaaaaaaaaaaaaaaaaaacegdbbbbbbbb aaaaaaaaaaaaaaaced dbbbbbbbd aaaaaaaaaaafed bbbbbbbbd aaaaaaafcbg gbbbbbbbbg aaafcbg dbbbbbbbb ceg dbbbbbbbd bbbbbbbbd gbbbbbbbbg dbbbbbbbb dbbbbbbbd bbbbbbbbd gbbbbbbbbg dbbbbbbbb dbbbbbbbd bbbbbbbbd gbbbbbbbbg dbbbbbbbb dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbb dbbbbbbb bbbbbbb gbbbbbb gbbbbb dbbbb bbbb gbbb gbb db ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5f1c48ff b,#ceb5bfff c,#906280ff d,#e1d2d9ff e,#ad8aa1ff f,#73385eff g,#f1ebeeff ``` ```image gfa dg baaag bbb aaaf bbbb caaa gbbbbb aaac dbbbbbd faaa dbbbbbb gaaab bbbbbbbb aaaa bbbddbbbb baaad bbbd bbbbd aaaa bbbg bbbbg caaa bbb gbbbb aaac gbbb dbbbb faaa dbbb bbbbd gaaae bbbb bbbbg aaaa bbbb bbbb baaad bbbd dbbbb aaaa bbbg bbbbd caaa bbb bbbbg aaac bbb bbbb faaa gbbb dbbbb gaaae dbbb bbbbd aaaa bbbb bbbbg baaad bbbb bbbb aaaa bbbd gbbbb caaa bbbg bbbbd aaac bbb bbbbg faaa gbbb bbbb gaaae gbbb gbbbb aaaa dbbb bbbbd baaad bbbb bbbbg aaaa bbbd bbbb caaa bbbd gbbbb aaac bbbg bbbbb faaa bbb bbbbg gaaae gbbb bbbb aaaa dbbb gbbbb dbb baaad dbbb dbbbb gbbbg aaaa bbbb bbbbg bbbb eaaa bbbd bbbb dbbb aaac bbbd gbbbb bbbb faaa bbbg dbbbb bbbb gaaae bbb bbbbg bbbd aaaa gbbb bbbb bbbb baaaddbbb gbbbb gbbbg aaaadbbb dbbbb dc bbbb eaaabbbb bbbbd geaaaa dbbb aaabbbd bbbb eaaaaaaaab bbbd faabbbg gbbbb bfaaaaaaaaaaac bbbb gaabbbg dbbbbaaaaaaaaaaaae gbbbg aabbb gcbbbbcaaaaaaaeg bbbb bfbbb eaaaaabbbbaaacd dbbb cbbb eaaaaaaaaafbbbb bbbb bbbb bfaaaaaaaaaaafbdbbbb bbbb bbbbf dcaaaaaaaaaaaae bbbbd bbbd bbbea gcaaaaaaaaaaaacg bbbb bbbb bbbcae eaaaaaaaaaaaacd gbbbb gbbbg bbbfaa bfaaaaaaaaaaafb dbbbb bbbb bbbaaad bfaaaaaaaaaaaae bbbbd dbbb gbbbaaaacaaaaaaaaaaaaeg bbbbg bbbd dbbbeaaaaaaaaaaaacd bbbb bbbb bbbb aaaaaaaafb dbbbb gbbbg bbbb caaafb bbbbd bbbb bbbd g bbbbg dbbb bbbg bbbb bbbb bbb dbbbb bbbb gbbb bbbbd bbbd gbbb bbbbg bbbb dbbb bbbb gbbbg bbbb dbbbb bbbb bbbd bbbbd dbbb bbbd bbbg bbbd bbbg b bbbb bbb gbbbdbbb bbbbbbb dbbbbbb bbbbbb dbbbbd bbbbd bbbbg gbbb bbb ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#77f184ff b,#50dadaff c,#95cc96ff d,#ccf9e0ff e,#74dbd1ff f,#4bf95dff g,#b1d8b1ff ``` ```image a gff fffd gfdff ff dfg gf ff ff fa af af ff ff af dfd fa ff af fa fa ff af ffgccccccccccccccccccccccccccccccccccccccccccc fa afcggggggggggggggggggggggggggggggggggggggggggg af ffggggggggggggggggggggggggggggggggggggggggggg fa dfagggggggggggggggggggggggggggggggggggggggggg ff ffgggggggggggggggggggggggggggggggggggggggggg fa cfaggggggggggggggggggggggggggggggggggggggggg ff cffggggggggggggggggggggggggggggggggggggggggg fg cgffgggggggggggggggggggggggggggggggggggggggg ff cgafcggggggggggggggggggggggggggggggggggggggg fg cggffggggggggggggggggggggggggggggggggggggggg ff cggcfagggggggggggggggggggggggggggggggggggggg dfg cgggffgggggggggggggggggggggggggggggggggggggg ff cggggffggggggggggggggggggggggggggggggggggggg dfd cggggafggggggggggggggggggggggggggggggggggggg ff cgggggffgggggggggggggggggggggggggggggggggggg cccccccccccccccccccafd cgggggafcggggggggggggggggggggggggggggggggggg gggggggggggggggggggff cggggggffggggggggggggggggggggggggggggggggggg ggggggggggggggggggcfc cgggggggfagggggggggggggggggggggggggggggggggg ggggggggggggggggggffc cgggggggffgggggggggggggggggggggggggggggggggg gggggggggggggggggafcc cggggggggffggggggggggggggggggggggggggggggggg gggbeggggggggggggffgc cggggggegafggggggggggggggggggggggggggggggggg gggbbgggggggggggafggc cgggggbbbbffgggggggggggggggggggggggggggggggg gggebgggggggggggffggc cggggebeebbfcggggggggggggggggggggggggggggggg ggggbggggggggggafgggc cggggbegggeffbgggggggggggggggggggggggggggggg ggggbbgggggggggffgggc cgggbbggggggfabbgggggggggggggggggggggggggggg ggggbbggggggggafggggc cggbbgggggggffebbbgggggggggggggggggggggggggg gggggbggggggggffggggc cgbbgggggggggffgebbbgggggggggggggggggggggggg gggggbeggggggafgggggc cebegggggggggafgggebbbgggggggggggggggggggggg gggggbbggggggffgggggc cbegggggggggggffggggebbbgggggggggggggggggggg gggggebgggggafggggggc bbggggggggggggcfagggggebbbgggggggggggggggggg ggggggbgggggffggggggc bbggggggggggggggffgggggggebbbgggggggggggggggg ggggggbbgggffgggggggc bbcgggggggggggggggfaggggggggebbbgggggggggggggg ggggggbbgggfagggggggc ebdcgggggggggggggggffggggggggggebbbgggggggggggg ggggggebggffggggggggc dbe cggggggggggggggggffgggggggggggebbbgggggggggg gggggggbegfaggggggggc bb cggggggggggggggggafcggggggggggggebbegggggggg gggggggbbffgggggggggc bb cgggggggggggggggggffggggggggggggggebbegggggg gggggggebfagggggggggc bb cgggggggggggggggggcfagggggggggggggggebbegggg ggggggggffggggggggggc ebd cggggggggggggggggggffgggggggggggggggggebgggg ggggggggfaggggggggggc dbe cgggggggggggggggggggffgggggggggggggggggfcggg gggggggffbggggggggggc bb cgggggggggggggggggggafgggggggggggggggggfcggg gggggggfabggggggggggc bb cggggggggggggggggggggffgggggggggggggggcfgggg ggggggffgbegggggggggc bb cggggggggggggggggggggafcggggggggggggggafgggg gggggcfagbbgggggggggc ebd cgggggggggggggggggggggffggggggggggggggafgggg gggggffggebgggggggggc dbe cggggggggggggggggggggggfagggggggggggggffgggg ggggcfcgggbgggggggggc bb cggggggggggggggggggggggffgggggggggggggffgggg ggggffggggbeggggggggc bb cgggggggggggggggggggggggffggggggggggggffgggg gggcfcggggbbggggggggc bb cgggggggggggggggggggggggafcgggggggggggffgggg gggffgggggebggggggggc ebd ff fa gggfcggggggbegggggggc dbe dfd fg gggggggggggbbgggggggc bb ff fd gggggggggggebgggggggc bb fa df ggggggggggggbgggggggc bb af df ggggggggggggbeggggggc ebd ff gf ggggggggggggbbggggggc dbe gfd af ggggggggggggebggggggc bb ff ff gggggggggggggbegggggc bb dfg ff gggggggggggggbbgggggcbb ff fa gggggggggggggebgggggebd fa fa ggggggggggggggbgggggbe af fg ggggggggggggggbegggbb ff fd ggggggggggggggbbggbbc gfd df ccccccccccccccebcbbcg ff df bebd dfggf bbe ffaf eb fff aff ff ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7af98dff b,#50dbdcff c,#b1eeefff d,#dcfaedff e,#82e5e6ff f,#4bf95dff g,#b6fcbdff ``` ```image a gf af gff aff gfff fffa gfffd fffa dc gfffd bbbc fffa ebbe gfffd cbbb fffa dbbbd gfffd bbbc fffa ebbe gfffd dbbb fffg bbbd gfffd ebbe dfffg cbbb afff dbbbd dfffg bbbc afff ebbe dfffg dbbb afff bbbd dfffg ebbc afff cbbe dfffg dbbbd afff bbbc dfffg ebbe affa cbbb dfffg bbbd affa ebbc gfffg cbbe affa dbbb gfffd bbbc affa ebbe gfffd cbbb fffa bbbd gfffd ebbc fffa cbbe gfffd dbbbdfffa bbbafffd ebbfffa cbafffd bfffa afffd fffa gfffb dfffabc afffbbe dfffabbb afffdbbbd dfffg ebbc afff cbbe dfffg dbbb afff bbbd dfffg ebbe afff cbbb dfffg dbbbd affa bbbc dfffg ebbe affa dbbb gfffg bbbd affa ebbe gfffd cbbb affa dbbbd affd bbbc dg ebbe cbbb bbbd ebbc cbbe dbbbd bbbc ebbe cbbb bbbd ebbc cbbe dbbb bbbc ebbe cbbb bbbd ebbc cbbe c dbbb db bbbc dbb ebbe ebb cbbb ebbb bbbd cbbbe ebbc dbbbe ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area A! Now, let's dive into another area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#74f986ff b,#4fdbdbff c,#e3fbf0ff d,#c5f5e6ff e,#7de4e4ff f,#4af95cff g,#a9fcb2ff ``` ```image c a fd fa ffg fff fffg gfffc cfffa gfffd affa dfffg afffc cfffg gfffc fffa gfffd affa cfffg afffc cfffa gfffc affa dfffg afff cfffg gfffc cfffa gfffd affa dfffg afff cfffg gfffc fffa gfffd affa dfffg ded afffc dbbbbdcfffg cbbbbbbbafffc ebbbbbbbbfffa ebbbdcebbbbfffd dbbbe cebbffffd dbbbe cebfffabd cbbbbc cafffbbbd ebbbc cfffabbbbd ebbbd gfffbbbbbbd dbbbe affaebbbbbbd dbbbe dfffgcebbbbbbd cbbbbc afff cebbbbbbd ebbbc cfffg cebbbbbbd ebbbd gfffc cebbbbbbd dbbbe cfffa cebbbbbed dbbbe gfffd cebbbbbed bbbbc affa cebbbbbed bbbc dfffg cebbbbbed bbd afff cebbbbbed be cfffg cebbbbbed e gfffc cebbbbbed c fffa cebbbbbed gfffd cebbbbbed affa cebbbbbed dfffg cebbbbbed afffc cebbbbbed cfffg cebbbbbed gfffc cebbbbbed fffa cebbbbbed gfffd cebbbbbed afff cebbbbbed cfffg debbbbbed afffc debbbbbe cfffa debbbd gfffd gabc affa affg dfffg fffd afff fffc cfffg cfffc gfffc dfff cfffa dfff gfffd gffa affa gffa dfffg affg afffc affg cfffg affg gfffc fffd fffa fffc gfffd cfffc affa cfff dfffg dfff ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#67f978ff b,#50dbdcff c,#8cfb98ff d,#d1f8e7ff e,#82e5e5ff f,#49f95bff g,#b2fcbaff ``` ```image a gff fffd gfdff ff dfg cf ff ff fa cf cf fa ff cf gfd fa ff af dfc fa af af fa fa cfd af ff fc dfg af ff fc fc ff af fc ff ff gfd dfg ff ff dfg dfg ff ff fa dfg af ff ff dfd gfd ff ff gfd dfc ff ff d gfd fa be ff e cf bb gfd bbbbff eb ff ebdebbfg bd cf dbe effb bb ff bb fabb bb cf bb afebbb db fa bb fa ebbb be cf ebd cfd ebbb bb fa dbe ff ebbb eb af bb dfg ebbb bd fa bb ff ebbe be af bb fc ebbe bb fa ebd af ebbe db af dbe ff ebbe be fc bb gfd ebbe bbaf bb ff ebbe ebfc bb dfg ebbe ff ebd ff ebd fa dbe fa fg ffb bb cf fd dfcb bb ff df ff bd bb gfd gf dfg bb ebd ff cf ff eb dbe dfc af dfg bd bb af ff ff be bb fa ff dfd bb bb cf fa ff db ebd ff fc fd bd dbe gfg fg bb bb ff fd eb bb fc df db bb af gf be ebd fa cf bb dbe cfd af eb bb ff ff bd bb dfg ff bb bb ff fa eb ebd fc fc db dbe af fg be bb ff fd bb bb gfd df eb bb ff gf bbbd dfggf bbe ffcf eb fff cff fa ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#73fa4cff b,#d09538ff c,#b1d8b1ff d,#d8b97dff e,#e0f3c9ff f,#96cb95ff g,#99f77fff ``` ```image e ae e aa b aae bd aea b a ac bd a ea eb ea ac be ea ea db ea ag b ca a db gg ag b gg a bd gg ag eb ac a bd ae ag eb ae a be ae ag db a a b a gg bb a a b a ga bd a a eb a ga be a a db a ga be a a db ea gg b ea a bb ea ag b ca a bd gg ag eb gg ea be gg ac db ac ea b ae ae db ae ea b ae ae bd a ca b a a bd a ga eb a a be a ga db a a b a ag db a a b a ag bd ea a eb ea ac bd ea ea eb ca ae be ga ea db gg ae be gg ca fccccccccccccccccbbccccf gg a fccccccccccccccccbcccccf ac ga fcccccccccccccccbdcccccf ae aefcccccccccccccccbccccccf ae eafccccccccccccccbdccccccf ae aacccccccccccccdbcccccccf egaa a acccccccccccccbccccccccf egaaaaage a aacccccccccccdbccccccccf egaaaaac a fafccccccccccbcccccccccf egaaaaage a fgacccccccccbbcccccccgaaaaagc a fcagccccccccbccfgaaaaagf ffffaffffffffffc fccaccccccgbbaaaagcccccf ccccaccccccccccf fccaagaaaaabfccccccccccf ccccaccccccccccf fcccaagcccbdcccccccccccf ccccaccccccccccf fccccccccdbccccccccccccf cccfaccccccccccf fccccccccbcccccccccccccf cccfaccccccccccf fcccccccbbcccccccccccccf cccgaccccccccccf fcccccccbccccccccccccccf cccgaccccccccccf fccccccbbccccccccccccccf cccgaccccccccccf fccccccbcccccccccccccccf cccagccccccccccf fcccccbdcccccccccccccccf cccagccccccccccf fccccdbccccccccccccccccf cccagccccccccccf fccccbdccccccccccccccccf cccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddbdddbbcccccccccccccccccf cccafccccccccccf eeeeeeddddddbbbbbffffffffffffffffffc cccacccccccccccf cccacccccccccccf cccccccccccccccf cccccccccccccccf cccccccccccccccf ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#73f949ff b,#d19336ff c,#b4fb9eff d,#e9d1a7ff e,#defdd5ff f,#deb270ff g,#91fb72ff ``` ```image gac gac gac aac aac aae aae eaae eaae eaae eaae eaa eaa caa caa cag cag cag gag gag gac gac gac aac dbbbbbbbbbbbbbfffffffffff dbbbbbbbbbbbbbbbbbbbbbbbb eaaddddddddddddffffffffff aae eaae eaae eaae eaa egg ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Onward to the next region of interest. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#73fa4bff b,#d19538ff c,#bffbacff d,#ebd0a8ff e,#eaf4d8ff f,#deb472ff g,#9afb7dff ``` ```image ebbd bbb dbbd bbf dbbe ebbf fbbe ebbd fbb c dbbd ae bbb ag dbbd aae bbf aaa dbbe eaac ebbf gaae fbbe eaag ebbd caae fbb aag dbbd caac bbf ecgg gaa dbbe eccgaaaaaa eaac bbf ecggaaaaaaaaagg gaae fbbccgaaaaaaaaaagcce aag ecgbbbaaaaaaaggce caae eccgaaaabbbaaagcce gaacggaaaaaaaaabbfe eaaaaaaaaagccefbb gaaggce dbbd e bbf dbbe bbf fbbe ebbf fbb ebbd fbb dbbd bbf dbbe ebbf fbbe ebbd fbb dbbd bbb dbbd bbf ffffffffdbbbe ``` <!-- end of image --> I observe 1 intersection inside area B. Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#73fa4bff b,#d19436ff c,#bcfca9ff d,#eacfa5ff e,#e7f6d7ff f,#ddaf6bff g,#95fb77ff ``` ```image c ac e aa b aac bf aea eb a ac bd a ea db ea ac be ea ea db ca ac b ca ea fb cg ag b gg a bf gc ag eb ac a bd ac ag db ae a be ae ag fb a a b a gg ff a a b a ga bf a a eb a ga bd a a db a ga be a a fb ea gg b ea a bf ca ag b ca a bf cg ac eb gg ea bd gg ac db gc ea be ac ae fb ae ca b ae ae bf ae ca eb a a bd a ga db a a be a gg db a a b a ag fb a a b a ac bf ea ea eb ea ac bd ca ea db ca ac be cg ca fb gg ae b gg ca fb gc ae b ac ca bf ac ac eb ae ea bd ae ag db cgaa a a be ecaaaaage a ga fb cgaaaagce a ae b ecaaaaage a ca bf cgaaaagce a ac b ecaaaaage a a cbbaaagc a gagaaaaabe a agc bd ea db ea be ea fb ca b ca bf gg eb gg bd gc db ac bd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffffffdbb ae eeeedddddddffffffb ae a ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#277bb3ff b,#63a0c0ff c,#665e79ff d,#b5ccdeff e,#b0d7b0ff f,#96b5a0ff g,#edf3f0ff ``` ```image c dd dc aa cf daa fc aba cd ga a cc ab a gc ga a cf gggggggggggggggggaaggadgggggggggggg fc g feeeeeeeeeeeeeeeeaeeeabeeeeeeeeeeefg cd ccf feeeeeeeeeeeeeeeaaeeeabeeeeeeeeeeeeg cc fcccg feeeeeeeeeeeeeeeaeeeeaaeeeeeeeeeeeeg gcg gcccf feeeeeeeeeeeeeebaeeeebaeeeeeeeeeeeeg cc dcccd feeeeeeeeeeeeeeafeeeebaeeeeeeeeeeeeg dc cccf feeeeeeeeeeeeebaeeeeefaeeeeeeeeeeeeg cf dcccdfeeeeeeeeeeeeeafeeeeeeaeeeeeeeeeeeeg fc fccceeeeeeeeeeebaeeeeeeeaeeeeeeeeeeeeg cg fcccfeeeeeeeeabeeeeeeeaeeeeeeeeeeeeg cc feefcccfeeeefaeeeeeeeeafeeeeeeeeeeeg gc feeeeecccceeabeeeeeeeeabeeeeeeeeeeeg cf feeeeeeefcccaeeeeeeeeeabeeeeeeeeeeeg fc feeeeeeeeeeaacceeeeeeeaaeeeeeeeeeeeg cd feeeeeeeeeeaefcccfeeeebaeeeeeeeeeeeg cc feeeeeeeeeaaeeeecccceebaeeeeeeeeeeeg gcg feeeeeeeeeaeeeeeeefccccaeeeeeeeeeeeg cc feeeeeeeeaaeeeeeeeeeefcaccfeeeeeeeeg dc feeeeeeeeaeeeeeeeeeeeeeafccccfeeeeeg cf feeeeeeeaaeeeeeeeeeeeeeaeeefccccfeeg fc feeeeeeeafeeeeeeeeeeeeeafeeeeeeccccfg cg feeeeeebaeeeeeeeeeeeeeeabeeeeeeeeefccccg cc feeeeeeafeeeeeeeeeeeeeeabeeeeeeeeeeg dccccd dc feeeeebaeeeeeeeeeeeeeeeaaeeeeeeeeeeg gcccccf feeeeeabeeeeeeeeeeeeeeebaeeeeeeeeeeg fc feeeebaeeeeeeeeeeeeeeeebaeeeeeeeeeeg feeeeabeeeeeeeeeeeeeeeefaeeeeeeeeeeg feeefaeeeeeeeeeeeeeeeeeeaeeeeeeeeeeg feeeabeeeeeeeeeeeeeeeeeeaeeeeeeeeeeg feefaeeeeeeeeeeeeeeeeeeeaeeeeeeeeefg gggabgggggggggggggggggggadggggggggg ga ad aa ab a bb aa ba ag da ba da ad a ba a ad a da ag ad ad da ab ab bb da ba ab da ga da dbaa ab a gaaaadg ga a gaaag aa a gaaa ag ag daab ba ad daab ag ab daab ba bb daad ad ba baad ba da daad ad da daad da a gaab ab a aaa da a baag ab ag daag ga ad daad ab abaab ga bab aa g ag aa ag ba ad ba ad ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#267ab3ff b,#83b3d3ff c,#645b77ff d,#b5c5d6ff e,#5395c2ff f,#938ea2ff g,#dde5edff ``` ```image baad daad aaa gaad daab gaab eaa aab daab aae eaag eae daab eaa eaag baa gaae baag eaag daag gaae daad baag gaad gaae gaab baad aab fg aae aae cccd baad eae cccccfd aaa eaa gfccccccdg daab baa dfcccccfd aaa baag gfccccccfg daab daag dfcccccfd eaag daad gdccccccfg daab gaad gfccccccdgeaag gaab dfcccccaab aab gfccaaacdg aae daaacccfd eae baafccccccfg eaa gaae dfcccccfd baa baad gdccccccfg baag gaae gfccccccd daag baad dfcccccfd daad aae gfccccccfaad baad dfccccaaedg aaa gdfcaaaccfdg daab gaaaccccccfg eaa eaedfcccccccfd daab eaa gfcccccccfdg eaag baa gdfccccccfdg daab baag gdfcccccccfd eaag daag dfcccccc gaae daad gfccc eaag gaad gd gaae gaab baag aab gaae aae baad eae aae eaa baad baa aaa baag daab daag eaa daad daab gaad eaag gaab daab aab eaag aae gaab eae eaag eaa ``` <!-- end of image --> Case closed! This is definitely 2 intersections point in area A. Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2579b3ff b,#79add0ff c,#655b78ff d,#afc3d6ff e,#4a90bfff f,#948ea2ff g,#d8e2ebff ``` ```image c dd gc aa cf daa fc aea cg ga a cc ae a gc ga a cf ae ag dc a ad cd ccd ea ab fc fcccg ag ee cg gcccf ea ba cc dcccg ag da dc fccf ba ga cf dcccd ad a fc fccc ba a cg gcccd ad a cc fcccg da ag gc gcccf ab ad cf dccca ab fc aacf ee cd ga dcccd ba cc ae fccc da gc a gcccfa cf ea dcacfg dc a adccccd cd ea a gfcccd fc ag ag fcccf cg ba ad dccccg cc ag ab dccccd gc ba ee gfccccf ad ba fc da da ab ga da a ab a ga a ae ag a ad ae ab a ee ea ba ag da ea ga ag a ba a ad a ba ag ad ad da ab ab ee ga ba ae da ga ga deaa ae a aaaab a a gaaa ea a gaae a ag gaae ea ad daab ag ab daab ba ee baab ag ba baad ba da daad ad ga gaad da a aab ab a eae da a baa ab ag daag ga ad gaad ae abaab a eae ae a ea ag ea ag ba ad ``` <!-- end of image -->
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