oliveirabruno01/intersection-count-pixmap-CoT

text stringlengths 41 30.8k	input stringlengths 12.8k 12.8k	line_outputs sequencelengths 1 1
Alright, let's get to work and investigate this image for intersections. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#90b1b5ff b,#27ab6bff c,#b9d0d0ff d,#dfede9ff e,#57bb87ff f,#b1d7b2ff g,#93ca98ff ``` ```image aaaaaccd caaaaaaaaaaaaaacdd caacdcaaaaaaaaaaaaaaaaaaccd daaa dccaaaaaaaaaaaaaaaaaaccd aaa dccaaaaaaaaaaaaaaaaaacdd aaa ddcaaaaaaaaaaaaaaaaaaccd aaa dccaaaaaaaaaaaaaaaaaac aaad dccaaaaaaaaaac aaad ddcaaa caac caa daaa daa aaa aa aaa aa aaa aad aaad aac aaad caa caac daa daa aa aa aad aac aaa caa daa aa aad aac aaa caa daa aa aad aac aaa caa daa aa aa aad aac caa daa aa aa dbb aad dbbbbe aac dbbbbbbbe aaa dbbb fbbbbg caa dbbb gbbbbf daa dbbb ebbbbd aa dbbb ebbbbd aad dbbb bbbbb aac dbbb dbbbbe aaa dbbb cbbbbe caa bbb fbbbbg daa bbb gbbbbc aa bbb ebbbbd aad bbb bbbbbd aac bbb dbbbbb aac bbb dbbbbefggggggggggggaaagggg bbbd cbbbbeffffffffffffaaffff bbbd gbbbbeffffffffffaaffff bbbd ebbbbgffffffffaaffff bbbd gfbbbbbgffffffaaffff bbbd gfffbbbbbfffffaaafff bbbd gfffffbbbbbfffaaafff bbbd gffffffgbbbbeffaafff bbbd gffffffffgbbbbefffff bbbd gffffffffffebbbbgfff bbbd gffffffffffffebbbfff bbbd gffffffffffffffbgfff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd fggggggggggggggggggg bbbd bbbd bbbc bbbc bc ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#90b1b5ff b,#27ab6bff c,#c7e1d9ff d,#e3f0ecff e,#4ab883ff f,#a7d3c3ff g,#74c89fff ``` ```image aaaaa c faaaa bgd caaaad bbbgd caaaac bbbbbgd daaaac bbbbbbbf aaaaf bbbbbbbbef aaaaa dgbbbbbbbbec faaaa cebbbbbbbbec caaaad cebbbbbbbbgd caaaac febbbbbbbbgd daaaac fbbbbbbbbbf aaaaf dgbbbbbbbbbf aaaaa dgbbbbbbbbef faaaa dgbbbbbbbbec faaaad cebbbbbbbbgd caaaad cebbbbbbbbgddfcdd febbbbbbbbgd fbbbbbbbbbf dgbbbbbbbbef dgbbbbbbbbg dgbbbbbbc cebbbe febc c ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#8fb1b5ff b,#27ab6bff c,#bfd6d4ff d,#d6e8e3ff e,#55bc8aff f,#a6c7c4ff g,#ecf5f2ff ``` ```image aaaaafcg faaaaaaaaaaaaafcdg caafdcfaaaaaaaaaaaaaaaaafcd daaa gcfaaaaaaaaaaaaaaaaaafcg gaaa gdcfaaaaaaaaaaaaaaaaafcdg aaa gdcfaaaaaaaaaaaaaaaaafcd aaa gcfaaaaaaaaaaaaaaaaaac aaag gdcfaaaaaaaaaac faad gdcaaf caaf caa daaf daa gaaa aa aaa aag aaa aad aaag aaf faad faa caac daa daf gaa g aa aad aaf faa caa gaa aa aad aac aaa caa daa aa aag aac aaf faa daa aa aag aad aaf faa daa gaa aa dbbg aad dbbbbe aac gbbbbbbbe faa gbbb fbbbba caa gbbb abbbbf gaa gbbb ebbbbd aa gbbb ebbbbg aag gbbb gbbbbb aac gbbb dbbbbe aaf gbbb cbbbbe caa gbbb fbbbbf daa gbbbg abbbbc aa gbbbg ebbbbd aag gbbbg bbbbbg aac gbbbg gbbbbb aaf bbbg dbbbbe faa bbbg cbbbba daa bbbg fbbbbf aa bbbg ebbbbc aa bbbg ebbbbd aad bbbg bbbbbg aaf bbbg gbbbbe faa bbbg dbbbbe caa bbbg fbbbba bbbd abbbbf bbbd ebbb bbbd ed bbbd bbbd bbbd bbbd bbbd bbbd bbbd bbbd bbbc bc ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#197f1cff b,#3ea0fcff c,#63a765ff d,#a5d2fdff e,#a4cca5ff f,#73bafcff g,#d7eaebff ``` ```image dbbbbbbfdg fbbbbbbbbbbbbbbbffdg gdfbbbbbbbbbbbbbbbbbbbbbbfddg gddfbbbbbbbbbbbbbbbbbbbbbbfdg gdffbbbbbbbbbbbbbbbbbbbbbffdg gdfbbbbbbbbbbbbbbbbbbbbbbfddg gddfbbbbbbbbbbbbbbbbb gdffbbbbbbbb fbbd bbb bbb fbbf bbb bbb dbbf bbb bbb dbbf bbbg bbb dbbf bbbg bbb gbbb bbbg bbb gbbb fbbd bbb gbbb fbbd bbb bbb fbbd bbb bbb dbbf bbb bbb dbb d eaac aaaaaaae caaaaaaaac eaaaaaaaacg gcaaaaaaaae eaaaaaaaacg gcaaaaaaaae eaaaaaaaacg gcaaaaaaaae caaaaaaaac eaaaaaaaaag caaaaaaaae eaaaaaaaacg gcaaaaaaaae eaaaaaaaa gcaaaaag caaae eaaac gaaaa aaaa aaaa caaag eaaae gaaac aaaa aaaa aaaag caaae eaaac gaaaa aaaac caaaac aaaaae gaaaaag eaaaaa caaaac aaaaae aaaa gac ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#92fe67ff b,#ef49d8ff c,#c7feb1ff d,#f486e4ff e,#e8fedfff f,#aafe88ff g,#f9c8f3ff ``` ```image caa aaaf eaaaae faaaaa aaaaaac eaaa aaa aaae faaa aaa aaae eaaf eaaa aaae aaaf aaa aaae caaf caaa aaa aaac aaa aaa caac faaa eaaa aaac caaaaa eaaa eaaaaaaae aaaf faaaaaaae aaae caaaaaaac caaa eaaaaaaaae aaac caaaaaaac aaa aaaaaaaf faaa aaaaaae aaac aaac eaaa eaaf aaaf faae aaae aaa caaa eaaa aaaf faae aaa aaa faaa aaa aaac faac eaaa aaa faaf aaa aaae caac caaa aaa aaaf aaa aaa caac faaa aaa aaac faa eaaa faaa aaae caaa aaaf aaa caaa aaac eaaa faaa aaae caaa caa aaaf faaaa aaa eaaaaaaae caaa caaaaaaf aaac faaaaaac eaaaeaaaaaaae faaaaaaaf aaaaac eaae d dbbb bbbbbb dbbbbbbg dbbbbbbg gbbbbbbd gbbd gbbbbbbd gbbbbbbd g bbbbbbb gbbbbbbbbbbd gbbb dbbbbbb gbbbbbbg bbbbbbb gbbbbbb dbbbbbbdbbbbbb dbbbbbb dbbbbbbbd dbbbbbbbbb dbbbbbbg dbbbbbbbbg gbbbbb dbbbbbbg dbbbbbbbbg gd gbbbbbbg gbbbbbbbbg gbbbbbbd gbbbbbbbbg gbbbbbbd gbbbbbbbbd bbbbbbd bbbbbbbbd bbbbbbbbbbbbd dbbbbbbbg dbbg ``` <!-- end of image -->	[ "" ]
I'm ready to tackle this image and find those intersections! My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#91cc91ff b,#db2614ff c,#e6e1d2ff d,#d8604dff e,#b1d7b1ff f,#d49c87ff g,#43bf46ff ``` ```image aa eggggg aggggge ge eggggga gg cgggggac ag aggggge cgc eggggga ga cagggggc gg aggggge eg eggggga ge cagggggc gg aggggge gg egggggac cg caggggge ga eggggga gg cgggggac ag aggggge ge ggga gg c gg eg ga gg ag gc fbbf gg dbbbbbbbbbdc gg cbbbbbf cdbbbbbdc eg fbbbbdc cfbbbbbdf ge dbbbbd fbbbbbbf gg cbbbbbf fdbbbbbfc aeeeeeeeeeggeeeeeeeeeeeeeea fbbbbdc cdbbbbbdc aeeeeeeeeeegaeeeeeeeeeeeeea bbbbd cdbbbbbdc aeeeeeeeeeeggeeeeeeeeeeeeea bf fbbbbbbfeeeeeeeeggeeeeeeeeeeeeea fbbbbbbdeeeeageeeeeeeeeeeeea aeefdbbdeeeegaeeeeeeeeeeeea aeeeeebbeeeeggeeeeeeeeeeeea aeeeeefbfeeeggeeeeeeeeeeeea aeeeeeebbeeeageeeeeeeeeeeea aeeeeeedbeeeeggeeeeeeeeeeea aeeeeeeebfeeeggeeeeeeeeeeea aeeeeeeebbeeeageeeeeeeeeeea aeeeeeeedbeeeegaeeeeeeeeeea aeeeeeeeebfeeeggeeeeeeeeeea aeeeeeeeebbeeeggeeeeeeeeeea aeeeeeeeedbeeeageeeeeeeeeea aeeeeeeeeebdeeegaeeeeeeeeea aeeeeeeeeebbeeeggeeeeeeeeea aeeeeeeeeefbeeeageeeeeeeeea aeeeeeeeeeebdeeegaeeeeeeeea aeeeeeeeeeebbeeeggeeeeeeeea aeeeeeeeeeefbeeeggeeeeeeeea aeeeeeeeeeeebdeeageeeeeeeea aeeeeeeeeeeebbeeegaeeeeeeea aeeeeeeeeeeefbeeeggeeeeeeea aeeeeeeeeeeeebbeeggeeeeeeea aeeeeeeeeeeeebbeeegaeeeeeea aeeeeeeeeeeeeebfeeggeeeeeea aeeeeeeeeeeeeebbeeggeeeeeea aeeeeeeeeeeeeedbeeageeeeeea aeeeeeeeeeeeeeebfeegaeeeeea aeeeeeeeeeeeeeebbeeggeeeeea aeeeeeeeeeeeeeedbeeggeeeeea aeeeeeeeeeeeeeeebfeageeeeea aeeeeeeeeeeeeeeebbeeggeeeea aeeeeeeeeeeeeeeedbeeggeeeea aeeeeeeeeeeeeeeeebdeageeeea aeeeeeeeeeeeeeeeebbeegaeeea aeeeeeeeeeeeeeeeefbeeggeeea aeeeeeeeeeeeeeeeeebdeggeeea aeeeeeeeeeeeeeeeeebbeageeea aeeeeeeeeeeeeeeeeefbeegaeea aeeeeeeeeeeeeeeeeeebdeeeeea aeeeeeeeeeeeeeeeeeebbeeeeea aeeeeeeeeeeeeeeeeeefbeeeeea aeeeeeeeeeeeeeeeeeeebbeeeea aeeeeeeeeeeeeeeeeeeedbeeeea aeeeeeeeeeeeeeeeeeeeebfeeea aeeeeeeeeeeeeeeeeeeeebbeeea aeeeeeeeeeeeeeeeeeeeedbeeea aeeeeeeeeeeeeeeeeeeeeebfeea aeeeeeeeeeeeeeeeeeeeeefeeea aeeeeeeeeeeeeeeeeeeeeeeeeea aeeeeeeeeeeeeeeeeeeeeeeeeea ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#79d17bff b,#dc2614ff c,#edddd3ff d,#e56053ff e,#b1e4b2ff f,#ee9c94ff g,#41be44ff ``` ```image ggge agga eggg cgggc ggge agga fc eggg bbbdfc ggge bbbbbbbdfc agga bbbbbbbbbbbdfc egga cfddbbbbbbbbbf cgggc cfdbbbbbd ggge cfbbbc agga bbbf eggg fbbd gggc cbbbc agge dbbf egga fbbb cggg cbbbc ggge dbbf agga fbbb eggg cbbbc gggc dbbd agge fbbb egga bbbf cggg dbbd ggge fbbb agga bbbf eggg dbbd cgggc cbbbc ggge bbbf agga fbbd eggg cbbbc ggge bbbf agga fbbd eggg cbbbc cgggc dbbf ggge fbbb agga cbbbc eggg dbbd gggc fbbb agge bbbc egga dbbd cggg fbbb ggge bbbf agga dbbd eggg cbbb gggc bbbf agge dbbd egga cbbbc cggg bbbf ggge fbbd agga cbbbc eggg dbbf cgggc fbbb agge cbbbc agga dbbf eggg fbbb ggge cbbbc agga dbbd eggg fbbb cgggc bbbf ggge dbbd agga fbbb eggg bbbf gggc dbbd agge cbbbc egga bbbf cggg fbbd ggge cbbbc agga bbbf eggg fbbd gggc cbbbc agge dbbf egga fbbb cggg cbbbc ggge dbbd agga fbbb eggg bbbc gggc dbbd agge fbbb egga bbbf cggg dbbd ggge cbbb agge bbbf ee dbbd cbbbc bbbf fbbd cbbbc dbbf fbbb cbbbc dbbf fbbb cbbbc dbbd fbbb bbbf dbbd fbbb bbbf dbbf cc ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#73cf76ff b,#dc2614ff c,#e6e2d3ff d,#e55f52ff e,#a8e1a9ff f,#ee9d95ff g,#40be43ff ``` ```image ea cagggg caggggge ge eggggge gg caggggac ag aggggge cgc eggggge ga caggggac gg eggggge eg eggggga ge caggggac gg eggggge ag egggggac cg caggggge ga eggggge gg caggggac eg aggggge gc ggge gg c gg cg ge gg ag gc fbbf ga dbbbbbbbbbdc gg cbbbbbf cdbbbbbdc eg fbbbbdc cfbbbbbdf ge dbbbbd fbbbbbbf gg cbbbbbf fdbbbbbfc ag fbbbbdc cdbbbbbdc cgc bbbbd cdbbbbbdf ga bf fbbbbbbf gg fbbbbbbf eg fdbbd ge bb gg cbc ag bb cg db ga bc gg bb eg db ge bf gg bb ag fb cg bf ge bb gg fb ag bd gc bb ga fb gg bd eg bb ge cbc gg bd ag db cgc cbc ga bb gg db eg bf ge bb gg db ag bf cg bb ga fb gg bf eg bb ge fb gg bd ag bb cg fb ge bd bb cbc bb db cbc bb db bf c ``` <!-- end of image -->	[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0f4edff b,#cd3c81ff c,#ebdb06ff d,#d3db5dff e,#cc8ba4ff f,#b2d7b1ff g,#a4cfa2ff ``` ```image aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg dccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg acccccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg accccdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg cccccagfcccgffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dcccca agffcccdfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dcccca agfffcccdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg acccca agffffccccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg accccd agfffffdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dccd agffffffdcccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg c agfffffffdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg agffffffffgcccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffg agffffbbefffcccgfffffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffebbbbfffcccdffffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbbbbbbffcccdfffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbgfbbbbefccccffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbfffebbbbfdcccfffffffffffffffffffffffffffffffffffffffffffffffffffg agffebbfffffebbbbdcccffffffffffffffffffffffffffffffffffffffffffffffffffg agffbbefffffffbbbbecccfffffffffffffffffffffffffffffffffffffffffffffffffg agffbbfffffffffebbbbcccgfffffffffffffffffffffffffffffffffffffffffffffffg agfgbbfffffffffffebbbbccdffffffffffffffffffffffffffffffffffffffffffffffg agfbbbfffffffffffffbbbbccdfffffffffffffffffffffffffffffffffffffffffffffg agfbbeffffffffffffffgbbbccdffffffffffffffffffffffffffffffffffffffffffffg agfbbfffffffffffffffffbbbcccfffffffffffffffffffffffffffffffffffffffffffg agebbfffffffffffffffffgbbdcccffffffffffffffffffffffffffffffffffffffffffg agbbbffffffffffffffffffbbbdcccfffffffffffffffffffffffffffffffffffffffffg agbbefffffffffffffffffffbbegcccffffffffffffffffffffffffffffffffffffffffg agbbffffffffffffffffffffbbbffcccgffffffffffffffffffffffffffffffffffffffg aebbfffffffffffffffffffffbbeffcccdfffffffffffffffffffffffffffffffffffffg abbefffffffffffffffffffffebbfffcccdffffffffffffffffffffffffffffffffffffg abbgffffffffffffffffffffffbbbfffccccfffffffffffffffffffffffffffffffffffg abbfffffffffffffffffffffffgbbffffdcccffffffffffffffffffffffffffffffffffg ebbffffffffffffffffffffffffbbbffffdcccfffffffffffffffffffffffffffffffffg bbefffffffffffffffffffffffffbbeffffdcccffffffffffffffffffffffffffffffffg bbffffffffffffffffffffffffffbbbffffffcccfffffffffffffffffffffffffffffffg abbfffffffffffffffffffffffffffbbbffffffcccgfffffffffffffffffffffffffffffg ebbfffffffffffffffffffffffffffebbbffffffcccdffffffffffffffffffffffffffffg bbeffffffffffffffffffffffffffffebbbffffffcccdfffffffffffffffffffffffffffg bbgfffffffffffffffffffffffffffffgbbbffffffccccffffffffffffffffffffffffffg ebbgfffffffffffffffffffffffffffffffbbbefffffdcccfffffffffffffffffffffffffg bbegffffffffffffffffffffffffffffffffbbbefffffdcccffffffffffffffffffffffffg bbagfffffffffffffffffffffffffffffffffbbbbfffffgcccfffffffffffffffffffffffg bbagffffffffffffffffffffffffffffffffffebbbffffffcccgfffffffffffffffffffffg ebbagfffffffffffffffffffffffffffffffffffebbbffffffcccdffffffffffffffffffffg bbeagffffffffffffffffffffffffffffffffffffgbbbffffffcccdfffffffffffffffffffg bbaagffffffffffffffffffffffffffffffffffffffbbbgfffffccccffffffffffffffffffg abb agfffffffffffffffffffffffffffffffffffffffbbbefffffccccfffffffffffffffffg ebb agffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccffffffffffffffffg bbe agfffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccfffffffffffffffg bb agffffffffffffffffffffffffffffffffffffffffffebbbfffffgcccffffffffffffffg abb agfffffffffffffffffffffffffffffffffffffffffffgbbbffffffcccgffffffffffffg bbb agfffffffffffffffffffffffffffffffffffffffffffffbbbgfffffcccdfffffffffffg bba agffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdffffffffffg bb agfffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffccccfffffffffg ebb agffffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccffffffffg bbe agfffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffdcccfffffffg bba agffffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffgcccffffffg abb agffffffffffffffffffffffffffffffffffffffffffffffffffffbbbgfffffcccfffffg ebb agfffffffffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdfffg bbe agffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdffg bb agfffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffcccffg abb agffffffffffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffcfffg ebb agfffffffffffffffffffffffffffffffffffffffffffffffffffffffffebbbffffffffg bbe agffffffffffffffffffffffffffffffffffffffffffffffffffffffffffgbbbgffffffg bb agggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbegggggg ebb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbeaaaaa bbe bbbb bba ebbb bb ebe ebb a bbe bba abb ebb bbe bb abb bbb bba bb ebb aee ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f8eadaff b,#ce3b81ff c,#ecdb05ff d,#f6ee8fff e,#da6da0ff f,#f0e343ff g,#eaacc9ff ``` ```image dcccd cccccd cccccc ccccccf faafccccf fcccca fcccca dcccccd dccccc accccf cccccf fccccc fcccca cccccd dcccccd accccc accccfa eeg fccccfa bbbb fccccc gbbbbbbg dccccd ebbbbbbbb cccccd bbbbbbbbbea acccccf abbbggbbbbbbe accccc ebbb aebbbbbea fccccca bbbe gbbbbbbe fccccca gbbbg gbbbbbbg dccccc ebbb gbbbbbbecccccd bbbe gbbbbbbgcccccf bbbg aebbbbbefcccc bbb ebbbbbbecccfa abbb aebbbbbbcccca gbbb ebbbbbbcccc ebbb gbbbbbbcccd bbbe aebbbbbcccf gbbba gbbbbccccf ebbb gbbbbcccca bbbe bbbbccccca gbbbg bbbbdcccccd bbbe abbbbadccccc abbbg gbbbe accccf gbbbg bbbbg cccccf bbbb ebbbg fcccca bbbb abbbb fcccca bbbb bbbb cccccd bbbb bbbba dcccccd gbbbg bbbbg accccf gbbba gbbbe fccccf ebbb ebbbg afccccfa abbbe abbbb fccccc ebbb abbbb cccccd bbbe bbbb dcccccd bbbg bbbbg acccccf bbba gbbbe accccc bbe abbbb fccccca bbg ebbbe fccccc bba abbbba dccccd bb gbbbbg dccccd bb gbbbbbe acccccf bb abbbbb accccc be abbbbea accccfa bg ebbbbbg fccccca b gbbbbb dccccc e gbbbbe dccccd g bbbbbe cccccf aebbbbb afccccf ebbbbg fcccca bbbbbg ccccca gbbbbbg dcccccd abbbbe dccccd abbbbba accccf ebbbbba cccccf ebbbbb afccccf bbbbbe ccccca abbbbbe dcccccd aebbbbe dcccccd bbbbbg accccf gbbbbbg cccccf gbbbbbe afccccf abbbbb fcccca ebbbbba cccccd ebbbbb dcccccd gbbbbg accccc gbbbbe accccf abbbbbe fccccca ebbbba fccccc bbbbbg dccccd gbbbbbg cccccd gbbbbb acccccf abbbbea accccc ebbbbba accccfa ebbbbb fccccca gbbbbg dccccd bbbbbe dccccd abbbbbe cccccd bbbbba afcd ebbbbbg d gbbbbbg gbbbbb ebbbbea ebbbbba ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#f8e7e1ff b,#ce3b81ff c,#eddb05ff d,#f6ef94ff e,#db73a5ff f,#f1e444ff g,#eaaecaff ``` ```image dcc accccc ccccfccc ccccc ccca fcccc cccd dcccca cccd dccccd cccf accccd fccc dccf dccc c dccc accca bbg ccca gbbbb cccd bbbbbbe cccf bba bbbbg fccf bb gbbbbafccc ebb ebbbedccc bbe bbbbgccc bb gbbbbccca abb ebbbbccd ebb bbbbccd bbg abbbccf bb bbbccc gbb abbdccc bbe bbbdccc bbg bbgaccc bb ebb ccca gbb bbe cccd bbe gbb cccf bba bbb fccf abb abba fccc ebb bbb dccc bbg bbg dccc bb ebb accca abb bbb ccca ebb gbbb cccd bbg gbbb cccf bb abbba fccf gbb bbbg fccc bbe bbbe dccc bba bbbe accc bb ebbb ccca ebb gbbb cccd bbe abbba cccd bba bbba cccf abb bbbg fccc ebb bbbe dccc bbg ebbb dccc bb gbbb accc gbb abbb ccca bbb bbba cccd bbg bbbg cccf bb bbbe fccf gbb ebbb fccc bbe gbbb dccc bba gbbb accc abb abbba accca ebb bbbg cccd bbg bbbe cccd bb ebbb ccc abb ebbb f ebb gbbb bbg abbba bb bbbg gbb bbbe bbe bbbe bba ebbb bb gbe gbb a bbe bba abb ebb bbg bb gbb bbb bbg bb gbb aee ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e05ae5ff b,#a577b7ff c,#f1b9f3ff d,#d4bedcff e,#f2e1f4ff f,#ba96c7ff g,#e98becff ``` ```image bbd bf bf fb bb db fb be dbe bd ebd bf bf fb bb db fb eb dbe bd ebf bf bb fb bb db dbe eb ebd be bf bf bb fb fb db dbe eb ebd be bf bf bb fb fbe db dbd eb bf be b bd bb db eb be bd bb db eb be bd bf fb eb be bd bf fb edfb edfbbbbbfd bbbbfde c gaaaac ga caaage ca gaaage ca egaaag ca egaaac ea caaaac eae caaage eae gaaage ae egaaac ac egaaac ac caaaac ag caaage ag egaaag ag egaa ag aa aa aa ga ga ga ca ca ca ea eae eae ae ac ac ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bdd53fff b,#04b29bff c,#e6efb7ff d,#55cbbbff e,#d3e37fff f,#a0e1d8ff g,#ecf6e4ff ``` ```image bbf fbbbbbd gdbbbbbbf fbbbbbbdg gdbbbbbbf fbbbbbbbbbbdddfffgg gdbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddfffgg gffffdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddffffg ggfffddddbbbbbbbbbbbbbbbbbbbbbbbbbbd ggfffdddbbbbd g aae aaaaa cae aaa aaa aa aaa aaag aag eaa eaac cae caa caae aa gaag gaaa aag aac aaa caa aae aaag aa aae eaac aag aaa caae gaa eaa gaaaae aa eaa aaae aac caa gaa gaag aa aac eac aae gaa aaa aa aaa eac eaa aa caa aa gaag eac aac aa aae aa aae eae aaa aa eaa aa eaa eae caa aa gaag aa aac cae aae aa aaa aa aaa cae eaa aa caa aag gaag cae aac aa eae aag aa gaa caa aa aag aag aa gaa eae aa aa eac gaa gaa aag aa aa eac eae aa aa aa gaa eac aag aa aa aa eae eae aa aa gaa aa aac eae aa aa cae aa aa caeaa aaac aaa cae c ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#e0955bff b,#a21fc9ff c,#eebd9aff d,#dc7023ff e,#f0d5e2ff f,#c176d8ff g,#aed5aeff ``` ```image bf ebf fb bb bb bb ebf fb bb bb bb ebf fbe bb bb gggggggggggggggg bb gggggggggggggggg ebf gggggggggggggggg fbe gggggggggggggggg bb gggggggggggggggg bb gggggggggggggggg bb ggggggggggggggggebf ggggggggggggggggbbe gggggggggggggfbbbb gggggggggggfbbbb gggggggggbbbbfgg gggggggbbbbfgggg gggggbbbbfgggggg gggbbbbggggggggg fbbbbggggggggggg fbbbbggggggggggggg fbbbfggggggggggggggg bbbbf gggggggggggggggg ebbbbe gggggggggggggggg ebbbbe gggggggggggggggg fbbbb gggggggggggggggg fbbbf gggggggggdaggggg fbbbf ggggggggdddggggg bbbbf gggggggddddggggg ebbbbe ggggggddaadggggg ebbbbe gggggaddggdagggg fbbbb edd dd fbbbf dd dd fbbbf dde cdc bbbbf dda dd ebbbbe add dd ebbbbe cdd ad fbbbb dd eda fbbbf dde dd fbbbf ddc dd bbbbf add cdc ebbbbe cdd dd ebbbbe edd dd fbbbb dde ad fbbbf ddc edc bbbbf ada dd bbbbf cdd dd bbe edd cde e dd da ddc dd dda dd add cdc edd dd dd dd dde ade dda da add dd cdd dd dd cdc dde dd ccddc dd ecaddddddddd ade ecaddddddddddddace eda ccadddddddddddace dd ecadddddddddddacc dd addddddddddddace cdc dddddace dd dd ad eda c ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#e79f6bff b,#a31ec9ff c,#f0c4a5ff d,#dc7024ff e,#d8a0e8ff f,#be61d9ff g,#efd7ecff ``` ```image ef ebbb ebbbbb gfbbbbbbb gfbbbbbbbfg gfbbbbbbbfg efbbbbbbbfg ebbbbbbbbe ebbbbbbbbe gfbbbbbbbfe gfbbbbbbbfg gfbbbbbbbfg efbbbbbbbfg ebbbbbbbbe bbbbbbbbe bbbbbfe bbbfg bfg g gac gdddc dddda addddd addddddc cddddddda gddddadddd gdddda adddg ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e69b66ff b,#a21ec9ff c,#f0c3a4ff d,#dc7024ff e,#dba8eaff f,#bf64d9ff g,#f5e1e2ff ``` ```image bf ebe fb bb bb bb ebe fb bb bb bb ebe fbg bb bb bb gbf fbg bb bb bb gbf ebbg ebbbb fbbbf fbbbf bbbbe gbbbbe ebbbbg ebbbb fbbbf fbbbf bbbbe gbbbbe ebbbbg ebbbb fbbbf gdc fbbbf ddd bbbbe dddd gbbbbe ddaadg ebbbbg add gda ebbbb gdd dd fbbbf dd dd fbbbf ddc cdc bbbbe dda dd gbbbbe add dd ebbbbg cdd adg ebbbb gdd gda fbbbf ddg dd fbbbf dda dd bbbbe add cdc gbbbbe cdd dd ebbbbg gdd dd ebbbb ddg ad fbbbf ddc gda fbbbf dda dd bbbbe cdd dd bbe gdd adg g ddg da ddc dd dda dd add cdc gdd dd dd dd ddc adg dda gda add dd cdd dd gdd cdc ddg dd cadda dd gcaddddddddd adg gcaddddddddddddacg gda caddddddddddddacg dd gcadddddddddddaac dd addddddddddddacg cdc dddddacg dd dd ad gda c ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? 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,#9cbc9aff b,#0cecccff c,#66685bff d,#68ebd1ff e,#e4f3edff f,#878d7fff g,#b1d5b1ff ``` ```image e cc cfc cca cc cg cecccg ac ac ec gcccg gc c gc gcccg ece ce af gccce cg ac ff accce eeeeeeeeeeeeee cf c fa acccagggggggggggga fc ce cg afccfgggggggggga ac af ce agggfccfggggggga ec c ce aggggggcccfgggga ce ce c aggggggbbacccfga ca ff c agggggdbbgggaccca cf ec c agggggbgbdgggggfcccg fc ce c aggggdbgdbggggga gcccc ff c aggggbgggbggggga g ec ec agggdbgggbdgggga c gc agggbdgggdbgggga ff gc aggdbgggggbgggga ec af aggbdgggggbdggga c fa aggbggggggdbggga ca cg agbdgggggggbggga ec cg agbggggggggbdgga c ce abdggggggggdbgga ca c abggggggggggbgga gc c bdeeeeeeeeeebee c c b db cg c bd b gc c b be c ec bd db cg ec b b gc gc bd be c af b db cg fa db b gc cg b be c cg db db cg ce b b ac c db be c b db ce db b ac be be c db db ce be b ff db be c be db ce db b ff be be ec eb db ce be b ff eb be ec bd db c eb b fa bd be ec eb db c bd b ca eb bb ec bd dbd c b bbe ca bd ebb gc b dbd c bd bbe cg b dbb gc bb bbd c b ebb cg db dbd gc b bbe eeeeeeeeeeeeeceeeeee db ebbeaggggggggggggcaggggg b dbdggggggggggggfcggggg db ebbggggggggggggcggggg be egdbbggggggggggcagggg egggbbdggggggggfcgggg egggggbbggggggggcgggg eggggggdbdggggggcgggg eggggggggbbgggggggggg egggggggggdbbgggggggg egggggggggggbbdgggggg egggggggggggggbbggggg eggggggggggggggdbgggg egggggggggggggggggggg egggggggggggggggggggg egggggggggggggggggggg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a9f96ff b,#07ebcbff c,#686a5dff d,#74f4e1ff e,#c2f8f0ff f,#33efd4ff g,#cccdc8ff ``` ```image cae cccca acccccag gacccccag gacccccag gacccccag gacccccag gccccccag bbaccccccag dbbb eaccccccag bbbbe gacccccca dbbfbd gacccc bbddbb gac dbbeebbe bbd fbd dbbe dbb fbf ebbe ebbe fbd fbf dbb ebbe ebbe fbf fbd ebbe dbb fbf ebbe ebbe fbd fbf dbb ebbe ebbe fbf fbd ebbe dbb fbf ebbe ebbd fbd dbb dbb ebbd ebbe dbb fbd ebbd dbb dbb ebbe bbd fbd ``` <!-- end of image --> Area A is clear of intersections, but the search continues. 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,#a7a8a1ff b,#09eccbff c,#696b5fff d,#7ff4e4ff e,#c4faf2ff f,#40f0d6ff g,#dadbd8ff ``` ```image acc gccg e cca bd acc bbfe gccg dbbbf cca efbbbd acc dbbbfe gccg efbbbd cca ebbbbe acc dbbbfe gccg efbbbd cca dbbbfe acc fbbbd gca efbbbd dbbbfe efbbbd ebbbbe dbbbfe efbbbd dbbbfe fbbbd ebbbbe dbbb efd ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b2b3acff b,#0decccff c,#66685bff d,#6cf3e0ff e,#bff9f1ff f,#8b8d84ff g,#d8d8d5ff ``` ```image cc cfc cca cc cg cgccca fc ac gc gccca gc c gc acccg cg cg af acccg ca ac ff acccg cf c fa accfg fc cg ca fccf ac ff cg fccf gc c c fccf cg c c bbgfcca ca ff c dbb gccca cf c c bebe gccca fc c c db db gcccc ff c be b a c gc eb be c gc be db ff ac eb b gc af be be c fa eb db ca ca be b gc cg eb be c cg bd db ca c b b gc c bd be c c b db ca c bd b gc c b be c c bd db ca gc b b ac ac bd be c af b db cg ff bb b ac ca b be c cg db db cg cg b b ac c db be c b db cg db b ac b be c db db cg be b ff db be c be db c eb b ff be be c eb db c be b ff eb be gc be db c eb b ff bd be gc b db c bd b ca b bb gc bd dbd c b bbe ca bd ebb gc b dbd c bd bb ca b dbb gc bb bbe c b ebb ca db dbd ac b bbe c db ebb cg b dbd ac db bb c b dbb cg bbe ac ebb c dbd c bbe ebb bbd bb db ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#7d7e49ff b,#29cffcff c,#e8f2eeff d,#abebfdff e,#65daf5ff f,#9cbc8fff g,#b2d6b1ff ``` ```image cbb dbbbb cbbbbbbbe ebbbbbbbbe c dbbbbbbbbbd dbb ebbbbbbbbe dbbbd dbbbbbbbbbc bbbb cebbbbbbbbd cbbbe dbbbbbbbbe bbbb cbbbbbbbbbd cbbbe ebbbbbbbbe caabbbb dbbbbbbbbbd aaabbbbccccccccc ebbbbbbbbe aaabbbbggggggggfc dbbbbbbbbbc faaabbbbggggggggc ebbbbbbbbd faaafbbbegggggggc bbbbbbbe ffaaabbbbgggggggc bbbbbbd fgaaaabbbeggggggc bbbbb fgfaaabbbbggggggc bbbbb fggaaaabbbegggggc bbbbb fggaaaabbbbgggggc bbbbb fgggaaafbbbbggggc bbbbb fgggaaaaebbbggggc ebbbb fgggfaaafbbbbgggc ebbbb fggggaaaaebbbgggc ebbbb fggggfaaagbbbbggc ebbbb fgggggaaaagbbbegc ebbbb fgggggaaaagbbbbgc ebbbbc fggggggaaaagbbbec dbbbbc fggggggaaaagbbbbc dbbbbc fgggggggaaafgbbbb dbbbbc fgggggggaaaagebbbc dbbbbc fgggggggfaaafgbbbb dbbbbd fggggggggaaaagebbbd dbbbbd fggggggggfaaaggbbbb cbbbbd fgggggggggaaaaggbbbd cbbbbd fgggggggggaaaaggbbbb cbbbbd fggggggggggaaafgcbbbecbbbbd fggggggggggaaaagcbbbbbbbbe fggggggggggfaaagc bbbbbbe fgggggggggggaaagc ebbbbe fgggggggggggaaafc bbbe fgggggggggggaaafc cbd fgggggggggggaaafc fgggggggggggaaaac gfffffffffffaaaa faaa gaaa caaa aaa aaac aaag aaaf aaaa aaaa faaa gaaa caaa aaa aaac aaag aaaf aaaa faaa faaa gaaa caaa aaa aaaafg aaaaaaaaaafg aaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc gfaaaaaaaaaaaaaaaaaaagc gfaaaaaaaaaaaaaaaaaaagc gfaaaaaaaaaaaaaaaaaafgc cgfaaaaaaaaaaaaaaaaaafg cgfaaaaaaaaaaaaaaaaaafg cgaaaaaaaaaaaaaaaaaaafg cgaaaaaaaaaaaaaaaaag cfaaaaaaaaaaac cfaaaaa c ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#7d7d48ff b,#29cffcff c,#d8d8c8ff d,#bbeffdff e,#73ddfaff f,#b3b495ff g,#8b9670ff ``` ```image gaaaaabbbbbbbb caaaaagbbbbbbbe aaaaaabbbbbbbb faaaaaabbbbbbbe aaaaaagbbbbbbbd faaaaaabbbbbbbe caaaaaagbbbbbbbd gaaaaaabbbbbbbb caaaaaagbbbbbbbd gaaaaaabbbbbbbb faaaaaagbbbbbbbe aaaaaaaebbbbbbb faaaaaagbbbbbbbe aaaaaaaebbbbbbbd faaaaaagbbbbbbbe caaaaaaaebbbbbbbd gaaaaaafbbbbbbbb caaaaaaadbbbbbbbd aaaaaaafebbbbbbb faaaaaaadbbbbbbbe aaaaaaacebbbbbbb faaaaaagdbbbbbbbe caaaaaaacebbbbbbbd gaaaaaag bbbbbbbe caaaaaaacebbbbbbbd gaaaaaaf bbbbbbbb caaaaaaa dbbbbbbbd aaaaaaaf ebbbbbbb faaaaaag dbbbbbbbe aaaaaaac ebbbbbbb faaaaaag dbbbbbbbe caaaaaaac ebbbbbbb gaaaaaaf bbbbbbb caaaaaaa ebbbbbb gaaaaaaf bbbbbb faaaaaaa dbbbbb aaaaaaac bbbbb faaaaaag dbbbb caaaaaaac ebbb gaaaaaag dbbb caaaaaaac ebb gaaaaaaf bb caaaaaaa eb aaaaaaaf b faaaaaaa d aaaaaaac faaaaaag caaaaaaac gaaaaaaf caaaaaaa gaaaaaaf faaaaaaa aaaaaaac faaaaaaf caaaaaaf aaaaaag aaaaaag gaaaaaa gaaaaaa faaaaaa faaaaaa caaaaaa caaaaaa caaaaaa aaaaaa aaaaaa ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#7d7d48ff b,#29cffcff c,#d9d9caff d,#c3f1feff e,#78e0fdff f,#b3b394ff g,#90956cff ``` ```image bb ebbbb dbbbbbbbe ebbbbbbbbe dbbbbbbbbbd dbb ebbbbbbbbe dbbbd dbbbbbbbbbd bbbb bbbbbbbbbe dbbbe ebbbbbbbbb bbbb dbbbbbbbbbd bbbe ebbbbbbbbe caabbbb dbbbbbbbbbd aaabbbb ebbbbbbbbe aaabbbbd dbbbbbbbbbd aaabbbb bbbbbbbbbe aaagbbbd bbbbbbbb caaabbbb bbbbbbd aaagbbbe bbbbb faaabbbb bbbbb aaagbbbe bbbbb gaaabbbb bbbbb aaafbbbb bbbbb aaaaebbb bbbbb caaacbbbb ebbbb aaaaebbbd ebbbb caaa bbbb ebbbb aaagdbbbe ebbbb faaa bbbb ebbbb aaaf bbbe ebbbb gaaa bbbb ebbbbd aaac bbbb dbbbbd aaaa ebbb dbbbbd caaac bbbb dbbbbd aaaa ebbbd dbbbbd faaa bbbb dbbbbd aaag dbbbe dbbbbd gaaa bbbb dbbbbe aaaf bbbe bbbbe aaaa bbbbbbbbe caaa bbbbbbe aaa ebbbbe aaa bbbe aaac dbe aaaf aaag gaaa faaa caaa caaa aaa aaac aaac aaaf aaag gaaa faaa caaa aaa aaa aaac aaac aaaf aaag gaaa faaa caaa aaa aaa aaaafc aaaaaaaaaafc gaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaagfc cfaaaaaaaaaaaaaaaaaagfc cfaaaaaaaaaaaaaaaaaagf cgaaaaaaaaaaaaaaaaaagc cgaaaaaaaaaaaaaaaaaagc fgaaaaaaaaaaaaaaaaaafc fgaaaaaaaaaaaaaaaaaafc cfgaaaaaaaaaaaaaaaaf cfgaaaaaaaaaac cfaaaaa c ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#846f1bff b,#4403f6ff c,#ad97f3ff d,#b4d7b2ff e,#6f42f3ff f,#a1c292ff g,#a29556ff ``` ```image fdddddddddddddddddddddd fdddddddddddddddddddddd fdddddddddddddddddddddd bec fdddddddddddddddddddddd ebbbbbbbbec fdddddddddddddddddddddd cbbb cebbbbbbbbec fdddddddddddddddddddddd bbbc ccbbbbbbbbbecdddddddddddddddddd ebbe cebbbbbbbbbecdddddddddddd cbbbb fdddcebbbbbbbbbefdddddd cbbbbe fdddddddddcebbbbbbbeddd ebbbbc fdddddddddddddddcebcddd ebbbbc fdddddddddddddddddddddd cbbbbe fdddddddddddaaddddddddd cbbbbe fddddddddddaaagdddddddd ebbbbc fdddddddddaafaadddddddd cbbbbc fdddddddfaafdgafddddddd bbe fddddddfaafdddaaddddddd cbc fdddddfaafddddaaddddddd bb fddddfaadddddddaadddddd be dfffgaaffffffffaaffffff bb faa dag bb faa aa cbc gaa fad bb gaa aa be gaa ga bb gaa ag bb aaa cbc aaa bb aag be aag eb aag bb aag cbc aaf bb aad be aad eb aad bb aad cbc daa bb daa be daa eb faa bb faa cbc gaa bb gaa bb gaa eb gaa bb aaa cbc aaa bb aag bb aag eb aag bb aag cbc aaf bb aad bb aad eb aad bb aa cbe daa daa daa faa faa gaa gaa gaa gaa aaa aaa aag aag aag aag aaf aad aad aad aa daa daa daa faa faa daa g ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#85701cff b,#4403f6ff c,#a486faff d,#dfd9c4ff e,#7545f8ff f,#d0c1fcff g,#aa9b62ff ``` ```image eecff bbbbbbeecff bbbbbbbbbbbbeecf ebbbbbbbbbbbbbbbbbeecf fceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbe fccebbbbbbbbbc fccebbbf f gaad gaaag gaaaaad gaaaaaag gaaaaaaaa gaaaaddaaag gaaaad aaaa aaaaad gaaad daaaaad aaag daaaaad gaaad daaaaad daaag daaaaad gaaa daaaaa daaag daaaag aaaa daaaag gaaad ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#846f1bff b,#4505f7ff c,#b8a0fbff d,#cac19eff e,#8054f9ff f,#e8e2e6ff g,#a39456ff ``` ```image fbecf bbbbbbbbbec cbbb febbbbbbbbbec fbbbc febbbbbbbbbec ebbe cebbbbbbbbbec cbbbb cebbbbbbbbbef cbbbbbf cebbbbbbbe fbbbbbc cebc ebbbbc cbbbbe aa cbbbbbf aaag fbbbbbc aadaa ebbbbc faaf dad bbe faaf aa ebc faaf gaf bb daaf aa fbe daa aa bb daa fag bb daa aa cbc gaa dad bb gaa aa fbe gaa gaf bb gaa ag bb aaa cbc aaa bb aag fbe aag bb aag bb aag cbc aad bb aad be aad eb faaf bb faaf cbc faaf bb daaf bb daa ebf daa bb daa cbc gaa bb gaa bb gaa ebf gaa bb aaa cbe aaa bb aag bb aag ebf aag bb aag cbe aad bb aad bb faad ebf faaf bb faaf fbe faaf daaf daa daa daa gaa gaa gaa gaa aaa aaa aag aag aag aag aad aad faad faaf faaf faaf daaf daa daa daa daa g ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#0c40a4ff b,#f0e087ff c,#869fd1ff d,#f4eab1ff e,#4a70baff f,#c3d0e8ff g,#f9f4dcff ``` ```image g bbb gbbbb dbbbbb dbbbbbbg bbbdbbbbg bbbg bbbbd bbb bbbbd bbb bbbbb bbb bbbbb bbg bbb dbbbb bbbbg bbb dbbbb bbbbbd gbbb gbbbbg dbbbbbbb gbbb gbbbbg bbbgbbbbb dbbd bbbbd gbbb dbbbb dbbg bbbbb bbbd dbbbbg bbbg bbbbb bbb gbbbbg bbb bbbbb bbbb bbbbd bbb dbbbb bbb bbbbb bbb gbbbbg dbbb bbbbb bbb gbbbbg bbbg dbbbb bbb bbbbd dbbb dbbbbg bbb bbbbd bbbg gbbbbg gbbb bbbbb gbbb bbbbd dbbd bbbbb bbbd bbbbg dbbd dbbbb bbb bbbb bbbg dbbbb bbbb bbbd bbbg gbbbbg bbb dbbb bbb bbbbg gbb bbbbbbb bbbbd bbbbbb bbbbb dbbbbb bbbbb bbbbb dbbbb gbbbb dbbbb bbbb gbbbbg bbg gbbbbg bbbbd bbbbd bbbbb bbbbb dbbbb dbbbb gbbbbg bbb bg f eaae aaaaaac eaaaaaaaaf faaaaaaaaeg caaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaae caaaaaaaae eaaaaaaaac geaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaac feaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaaef caaaaaaaae caaaaaaaac eaaaaaaaaef faaaaaaaaaaf faaaaaaaaaac feaaaaaaaaaf eaaaaaa caaa f ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c1a2acff b,#e0ceadff c,#b18996ff d,#e9ded7ff e,#d8c297ff f,#d4bec5ff g,#f4efecff ``` ```image ebd eeeeeeebd eeb dbeeeeeeebd dee dbeeeeeeebd gee dbeeeeeeebd eeg dbeeeeeeebd eed dbeeeeeeebd beb dbeeeeeeebd gee dbeeeeeeebd ee dbeeeeeeb eeg dbed eeb dee gee eeg eed beb gee ee eeg beb dee gee eeg eed beb gee ee eeg beb dee gee eeg eed beb gee ee eeg beb g dee gcc gee dccc eeg fccac eed acc fcg bee ccc dcd gee ccc gcf ee cca ca eg gcca cc gccf cc dccd cc fccg cc acc cc ccc ac gc ccc fc gcca cca fcd gccccg gccf dcf gccdgcc dccd gcf ccd acd fccg ca ccd cc acc cc ccf fca acc cc ccf cc ccc cc ccf gcc cca cc ccf ccd cca cc cca cc gccf ac cca acf dccd fcg cca cc fccg dcd cca dcc acc gcf cca ccg ccc ca ccc cc ccc cc dcc acf cca cc d cc gccf cc fca dccd cc cc fccg cc gcc accg ac ccd acc ac cc ccc fcg fca ccc dcd cc cca gcf dccgccf ccccd ccg g ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#af869dff b,#b1d8b2ff c,#d8bdceff d,#ebf5ebff e,#944878ff f,#8ff89bff g,#a1d1a1ff ``` ```image c aea aea aea aeaddddddddddddddd aeagggggggggggggg dgeeabbbbbbbbbbbg dgbbeeabbbbbbbbbg dgbbbbeeabbbbbbbg dgbbbbbbeeabbbbbg dgbbbbbbffeeabbbg dgbbbbbbffbbeeabg dgbbbbbfggfbbbeea dgbbbbbfbbfbbbbbeec dgbbbbfbbbfbbbbbgdeec dgbbbgfbbbfgbbbbg deec dgbbbfbbbbbfbbbbg deec dgbbffbbbbbfbbbbg deed dgbbfbbbbbbfbbbbg deed dgbfgbbbbbbgfbbbg deed dgbfbbbbbbbbfbbbg deed dgfbbbbbbbbbfbbbg deed dffbbbbbbbbbfgbbg deed dfbbbbbbbbbbbfbbg ceed ffbbbbbbbbbbbfbbg ceed fgbbbbbbbbbbbfbbg ceed fdgbbbbbbbbbbbgfbg cee dfdgbbbbbbbbbbbbfbg cee f dgbbbbbbbbbbbbfbg cee bf dgbbbbbbbbbbbbfgg cee f ggggggggggggggfg cee fd f cee df fd cee fd db cea df f cea f df aea fb bf aa f fb e fd fd ed f ce df e bf ac fb de fd e f aa df e ff ed fd ce fd e df ec df de ff e fd aa fd e df ed df ca ff e fd dddddddddddecddddd f dggggggggggggeggggg df dgbbbbbbbbbbbebbbbb bf dgbbbbbbbbbbbeabbbb fb dgbbbbbbbbbbbbebbbb fd dgbbbbbbbbbbbbebbbb f dgbbbbbbbbbbbbbbbbb df dgbbbbbbbbbbbbbbbbb bf dgbbbbbbbbbbbbbbbbb fb dgbbbbbbbbbbbbbbbbb fd dgbbbbbbbbbbbbbbbbb f dgbbbbbbbbbbbbbbbbb df dgbbbbbbbbbbbffbbbb bf dgbbbbbbbbbffgbbbbb fb dgbbbbbbbfffbbbbbbb fd dgbbbbbfffbbbbbbbbb f dgbbbgffbbbbbbbbbbb df dgbgffbbbbbbbbbbbbb bf dgffbbbbbbbbbbbbbbb fb dffbbbbbbbbbbbbbbbbb fd ffdgbbbbbbbbbbbbbbbbb f ffd dgbbbbbbbbbbbbbbbbb dfd dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9f5a86ff b,#a8fab2ff c,#d1b1c5ff d,#e0fde4ff e,#924375ff f,#8cf999ff g,#c4fccbff ``` ```image ec eeec caeeec caeeec caeeac caeeac caeeac caeeac caeeac caeeac faeeac gffcaeeac dfffb caeeac bfbff caeeac dff bfd caeeac ffg gfb caeea gff dff cae ffd ffd c bfb bfg dffd dfb bfg ff dff bfd ffg gfb gfb dff dffd ffd bfb bfg dffd dfb bfg ff gff bfg ffd gfb gfb dff dffd ffd bfb gfg dff dfb ffg ff gff bfg ffd gfb bfb dff ffd ffd fg gfg f dfb g ff bfg gfb dff ffd gfg dfb ffd bfg ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Right then, let's explore the next spot. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#bd8dabff b,#a9fab3ff c,#e8fbebff d,#c9fccfff e,#96497aff f,#8dfa9aff g,#e0cbd8ff ``` ```image aea gee eeg aea ceec aea gee eeg aea gee g dfd dfffb cbfffd cbfffd cbfffd cbfffd cbfffbc dfffbc dfffbc dfffbc dfffbc dffffd cbfffd cbfffd cbfffd fffdc fbc c ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#aa6c94ff b,#aefbb7ff c,#cca7beff d,#d6fcdbff e,#934577ff f,#8cf99aff g,#e7d6e0ff ``` ```image c aec aec aec aec aec aec aec aec aec bfeec ff eec fddb eeg f f eeg fd f eeg df bd eeg f df eeg bb f eeg f f geeg fd db geeg df f geeg f f geeg df bd geeg f df gee bb f gee f f gee fd db gee df f gee f f cee bb bd cee f f cea fd f cea f f cea f db cea df f cea f df cea bb bf aa f fb e fd fd eg f ge df e bf ac fd e f e f ca df e bb eg fd ca f e f ag df ge bb e fd ac f e f e df ca bb e fd eg f ge f e df ac fb e fd e f df bf fb fd f df ff bf bfd fb bfb fd bfb f dfb df dff bf dff fb ff fd ffd f ffd dfd ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3d6041ff b,#9fba88ff c,#5e9622ff d,#143e18ff e,#799b64ff f,#c2d3b4ff g,#e3eaddff ``` ```image add gdddddd fddddddddd bddddde adda edddddb ddda adddddf ddde adddddg dddb gdddddag dddf fddddda dddg bddddde gdddg edddddb gddd adddddf fddd gddddddg bddd fddddda eddd bddddda addd eddddde add adddddb d adddddf gddddddg fddddda bddddde edddddb adddddf gadddddg gddddda fddddda bddddde edddddb adddddf gddddddg fddddda addde de ccccef bcccccccccbg cccbccccccccccef bccg feccccccccccbg ccc gbcccccccccccf bccg feccccccccccef ccc fcccccccccccbg bccg gbccccccccccef ccc feccccccccccbg bccg gbccccccccccef ccc feccccccccccbg bccg bcccccccccccb ccc gbcccccccccc fccg feccccc ccc gbe fccf ccc fccf ccc fccf ccc fccf ccc fccf ccc gccf ccc gccf ccc gccb ccc gccb ccc gccb ccc gccb ccc gccb ccc gccb ccc ccb ccc cce ccc cce ccc gce ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3f07aaff b,#36f2e3ff c,#a68cd7ff d,#befaf5ff e,#75f5ebff f,#7a54c4ff g,#d6cbedff ``` ```image af aaaaf aaaaaaaf faa aaaac gaag aaaac aac gaaaac aaa gaaaac aaa gaaaag caa gaaaag gaag gaaaag aaf caaaag aaa caaaag faa caaaa caa caaaa aac faaaa aaf faaaa aaa faaaf faa faaaf gaag aaaaf aac aaaaf aaa aaaaf aaa aaaac caa aaaac gaag gaaaac aaf gaaaac faa gaaaag g gaaaag caaaag caaaag caaaa caaaa faaaa fac ed ebbbb dbbbbbe dbbbbbe be dbbbbbbd dbbd ebbbbbd dbbd ebbbbbd ebb ebbbbbe ebb dbbbbbe bbb dbbbbbbd bbb ebbbbbd bbb ebbbbbd bbe ebbbbbe bbe dbbbbbe dbbd dbbbbbbd dbbd bbbbbbd ebb dbbbbbd ebb dbbbbe bbb dbbbbd bbb dbbbbd bbb dbbbbd bbe dbbbbd bbe dbbbbd dbbd dbbbbd dbbbbbbd ebbbd dd ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#519aacff b,#3d8309ff c,#a8c791ff d,#bcd7d4ff e,#7fad5dff f,#e7f0ebff g,#80b5c2ff ``` ```image dd febbbbe cbbbbbbbbbf febbbbbbbbbbbbb cbbbbbbbbbbbc fbbbe dbbbbbbbbbbbef ebbbf febbbbbbbbbbbd bbbb cbbbbbbbbbbbc fbbbe debbbbbbbbbbef ebbbf ebbbbbbbbbbbc bbbb cbbbbbbbbbbbef fbbbe febbbbbbbbbbed ebbbf cbbbbbbbbbbbc bbbb dbbbbbbbbbbbef fbbbe febbbbbbbbbbbd ebbbf cbbbbbbbbbbbc bbbb bbbbbbbbed fbbbe bbbbbc ebbbf cef bbbb fbbbe ebbbf bbbb fbbbe ebbbf bbbb fbbbe ebbbf bbbb fbbbe dag ebbbf aaaag bbbb faaaaaag fbbbe daaaaaaa ebbb daaaaaaa bbbb faaaaaaaf fbbbe faaaaaaaf ebbb faaaaaaaf bbbb aaaaaaad fbbbe aaaaaaad ebbb gaaaaaad bbbb gaaaaaad fbbbe gaaaaaag ebb gaaaaaag c gaaaaaag daaaaaag daaaaaag daaaaaaa daaaaaaaf faaaaaaaf faaaaaaaf faaaaaaaf aaaaaaad aaaaaaa gaaaag gaaa aaa aaad gaaa aaa aaaf gaag faaa aaa aaag daaa aaa ag aaad gaaa gaaa daaaaag aaa faaaaaaf aaaf aaaaaad gaag gaaaaag faaa daaaaaa aaa faaaaaaf aaag aaaaaad daaa gaaaaag aaa daaaaaa aaad faaaaaaf gaaa aaaaaad aaaaaaaag aaaaaaa gaaaaf aad ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#24eda4ff b,#5ebe4bff c,#97f6d3ff d,#8acf7dff e,#d8f7e5ff f,#5ff1bcff g,#b8e2b0ff ``` ```image dbb gbbe bbb gbbe be bbb dbbb ebbg gbbbbd bbb bbbbb ebbg dbbbbe bbb gbbbbg bbd ebbbbd bbb bbbbb bbd dbbbbe dbb gbbbbg bbd ebbbbb dbb bbbbbe bbb gbbbbg dbb ebbbbd bbb bbbbb gbbe dbbbbe bbb gbbbbg gbbe ebbbbd bbb bbbbb ebbg dbbbbg bbb ebbbbd ebbg bbbbb bbb dbbbbe bbd gbbbbg bbb ebbbbd bbd bbbbb dbb dbbbbe faa bbb gbbbbd eaaaaae dbb bbbbb caaaaaaac bbb dbbbbe faaaaac aaf gbbe gbbbbg caaaaaae aaa bbb dbbbbd faaaaaf faa gbbe dbbbbbb eaaaaaac caa bbbbbbbbbe caaaaaa eaa gbbbbbe faaaaac aa dbe eaaaaaae aae faaaaaf aac eaaaaaac aaf caaaaaa aaa faaaaac faa eaaaaaae caa faaaaaf eaa eaaaaaac aae caaaaaa aac faaaaac aaf eaaaaaae aaa faaaaaf faa eaaaaaac caa caaaaaae eaa faaaaac aa eaaaaaae aae faaaaaf aac eaaaaaac aaf caaaaaae aaa faaaaaf faa eaaaaaae caa caaaaaf eaa faaac aae ae aac aaf aaa faa caa eaa aa aae aac aaf aaa faa caa eaa aae aac aaf aaa faa caf ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#21aa78ff b,#650168ff c,#90d4bbff d,#843586ff e,#b585b6ff f,#d8e3e3ff g,#54bd97ff ``` ```image fe fedbbbbbf fedbbbbbde fedbbbbbde fedbbbbbde fedbbbbbdef fedbbbbbdef fedbbbbbdef fedbbbbbdef fedbbbbbdef ebbbbbdef ebbef ebbe dbbf dbbf dbbf bbb fbbd fbbd fbbd bbe e af aa fa ac ga fa ag ga af ag ca af ag ca af aa ca ac aa fa ac ga fa ac ga fa ag ga af ag ca af aa ca af aaaaaggccff aa ffccggaaaaaaaaaaaaaggccff fa ffccggaaaaaaaf ac ga ga ag fa fa ac ga ga ac fa fa ag aa ga ac af ca ag aa ca af af ca ag ag ca af af ca aa ag ca a ac ga aa acfa faac ga ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#60f87eff b,#e71caeff c,#98faabff d,#ef6fcbff e,#27f751ff f,#ccfcd6ff g,#f7bbe6ff ``` ```image ggggddddbbbbbbbbbbbg ggggddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddgggbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbddddgggg dbbg dbbbddddgggg bbb gbbd bbb bbb gbbg bbb bbb dbb bbb gbbd bbb bbb dbbg bbb bbd dbb bbb gbbd bbb bbb dbbg bbb bbd fea dbb aeef bbb eee gbbg eee bbb ceec bbb eee dbbg eee bbb feea bbd aeef bbb eee cf bbb eee aee gbbg ceec eeeef bbb eee eeeeea bg eee eeeaeee feeeeec cee aeeec ee eef eec eee aee fee eef eea eee cee ee eec eee aee fee eef eea eee cee ee eec eee aea aee feeeeea fee eeeeeeeeec eef ceef faeeeeeec eea eee feeeeeeec eee eee feeeeeeef cee feec ceeeeeeef ee eee ceeeeeeaf eec aee ceeeeeea eee eea aeeeeeea aee eee aeeeeeec fee ceef aeeeeeec eef eee feeeeeeec eeaeee feeeeeeef eeeeec feeeeeeef ceeee ceeeeeee eeef ceeee eea cc ca ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. 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,#28cdc5ff b,#66ca57ff c,#a5eae6ff d,#66dad2ff e,#94ce91ff f,#b1d8b1ff g,#e5f6efff ``` ```image aaa caa aag aad daa gaa aac aaa caa aag aad da daa daaag gaa caaaaac aac gaaa aaaa aaa aaa aaaa gc caa aaa caaac daa aag aaag gaaad aaa aad aaag aaaa aac daa daac daaag aag gaa caad gaaad aa aac gaaa aaaa caa aaa aaa daaag daa caa aaa caaad aad aa aaa aaaa aac aad aaag daaag aag daa daac caaac aa gaa caad aaaa caa aac gaaa aaaa daa aaa aaa caaac aad caa aaa gaaad aac aa aaa aaaa aag aad aaag daaag aa daa daac gaaad caa feeeeeeeaaeeeeedaad aaaa daa efffffffaaeffffaaa daaag aad efffffffaaafffaaa caaac aac efffffffdaaffaaag aaaa aa effffffffaafaaafg daaaggaa effffffffaaaaaffg caaadaa eeffffffffaaaadffg aaaaa fbbbbbefffffaadfffg aaad ebbbbbbbbbefaaffffg ca efebbbbbbbbbffffg efffffebbbbbbfffg efffffffffbbbfffg effffffffffbbfffg effffffffffbbfffg effffffffffbbeffg effffffffffbbbffg effffffffffbbbffg effffffffffebbffg efffffffffffbbffg efffffffffffbbffg efffffffffffbbbeg efffffffffffbbbbbf efffffffffffffbbbbbf efffffffffffffffbbbbbe efffffffffffffffg ebbbbe efffffffffffffffg ebbbbb efffffffffffffffg fbbbbbg efffffffffffffffg fbbbbbg efffffffffffffffg gbbbbbf feeeeeeeeeeeeeee gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb eg fbbbbbg fbbb fbbbbbg gbbbbf gbbbbbf gbbbbe gbbbbbf bbbbb bbbbbe ebbbbg ebbbbbbbbf ebbbbe fe ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#27cdc5ff b,#65ca56ff c,#a3e9e6ff d,#5ed9d3ff e,#90d885ff f,#bbe7b5ff g,#def5e6ff ``` ```image caaaac gaaaad c aaaaa ca daaaag gaa caaaac gaaa aaaad daaa daaaag daaaa caaaac daaaaa gaaaad caaaaad aaaaa caaaaad daaaacaaaaaag caaaaaaaaaag aaaaaaaaac g daaaaaaac bbefg caaaaaad bbbbbbefg gaaaaad bbbbbbbbbbefg aaaad bbbbbbbbbbbbbbefg caadg ebbbbbbbbbbbbbbbbbeffg gfebbbbbbbbbbbbbbbbbef gfebbbbbbbbbbbbbbbe gfeebbbbbbbbbbbg gfeebbbbbbbf febbbbf gbbbbe bbbbe ebbbb ebbbbg fbbbbg fbbbbf gbbbbe bbbbe bbbbb ebbbb ebbbbg fbbbbf gbbbbf gbbbbe bbbbe ebbbb ebbbbg fbbbbbeg fbbbbbbb bbbbbbb gebbbbb gfbbb fb ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#27cdc5ff b,#66ca57ff c,#a1e9e5ff d,#61dad4ff e,#92d987ff f,#bbe7b4ff g,#dcf5ebff ``` ```image aaa caa aag aad daa aa aac aaa caa aag aad da daa daaag gaa caaaaac aac gaaa aaaa aaa aaa aaaa gc caa aaa caaac daa aa aaa gaaad aad aad aaag aaaa aac daa daac daaag aag gaa caad gaaad aa aac gaaa aaaa caa aaa aaa daaag daa caa aaa gaaac aad aa aaa aaaa aac aad aaag daaa aag daa daac caaac aa gaa caad aaad caa aac gaaa aaaa daa aaa aaa caaac aad caa aaa gaaad aac aa aaa aaaa aa aac aaag daaag aa daa daac gaaad caa gaa caad aaaa daa aag gaaa daaag aad aad aaa gaaac aac caa aaa aaaa aa aa aaa daaa gaa aaaaag caaadaa eg daaac aaaaa fbbbbeg gaad aaad ebbbbbbbbeg ad ca gebbbbbbbbe gebbbbbb ebb bb bbg bbf bbe ebb fbb gbb bb bbbg bbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb eg fbbbbbg fbbb fbbbbbg fbbbbf gbbbbbf gbbbbe gbbbbbf bbbbb bbbbbe ebbbbg ebbbbbbbbf ebbbbe fe ``` <!-- end of image -->	[ "" ]
The hunt for intersections begins! Let's analyze this image closely. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#67d281ff b,#13f945ff c,#97fcadff d,#e8f7ebff e,#40f768ff f,#8fd49bff g,#b0d9b2ff ``` ```image dgfa dgfaaaaaaaaag dgfaaaaaaaaaaafgd aa ddgfaaaaaaaaaaafgd aa ddgfaaaaaaaaaaafgd gad aaaaaaaafgd aa fgd aa gad af aa fa dag aa fa dag aa aa gad aa aa gad af aa fa dag aa fa dag aa aa gad aa aa gad af aa fa dag aa aa dag aa aa gad aa aa gad af aa fa dag aa aa dag aa aa aag gad aaaad aa aaaa aa aaaa gad daaaa af daaaa aa daaaf fa daaaf dddddagddddaaaf fgggggaagfaaaagfd bc fgggggaaaaaaggggd dbbbed fgggggfaaaggggggd cbbbbc fggggggfggggggggd ebbbed fgggggggggggggggd cbbbbc fgggggggggggggggd ebbbe fgggggggggggggggd cbbbbc bbbbbbbbbbbbbbbbbbbbbeeeeeeeeaaaacccccccccd ebbbe bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc cbbbbc dbe fgggggggggggggggd dddd debbbe bb fgggggggggggggggd cbbbbc ebc fgggggggggggggggd debbbe bb fgggggggggggggggd cbbbbc bbd fgggggggggggggggd debbbebe fgggggggggggggggd cbbb fgggggggggggggggd d fggggggggggggggfd ddddddddddddddd ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#65d180ff b,#12fa45ff c,#90dda3ff d,#d8f3dfff e,#51fb76ff f,#35fa60ff g,#76fb93ff ``` ```image caaa dcaaaaaacd caaad dcaaaaaacd daaaddcaaaaaacd aaaaaaaaaacd caaaaaaacd daaaaacd caacd dd bbbbbbbbbfffffffffffffeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gggggggggggggggeeeeeeeeeeeeeeff ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#66d181ff b,#12fa45ff c,#a5f0b7ff d,#cef1d7ff e,#46fa6dff f,#84e19bff g,#f0fbf3ff ``` ```image gdcfa gdcfaaaaaaaaac gdcfaaaaaaaaaaafcd aa gdcfaaaaaaaaaaafcd aa gdcfaaaaaaaaaaafcd dad aaaaaaaafcd aa fcd aa cag af aa fa gac aa fa dac aa aa dad aa aa cag af aa fa gac aa fa dad aa aa dad aa aa cag af aa fa gac aa fa dad aa aa dad af aa cag af aa fa gac aa fa dad aa aa fad dad aaaag af gaaaag aa gaaaag cag gaaaag af gaaaa aa gaaaf fa gaaaf gac gaaaf aa daaaf bc aaaaaf dbbbeg daaf cbbbbc d gebbbeg cbbbbc gebbbeg cbbbbc bbbbbbbbbbbbbbbbbbeeeeeeeeeeeeeffffffffcccd gebbbeg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc cbbbbc dbe ggggg gebbbeg bb cbbbbc ebc gebbbeg gbb cbbbbc bbg gebbbebe cbbb g ``` <!-- end of image -->	[ "" ]
Let's examine this image for potential line intersections. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#f3abc3ff b,#f1d9f1ff c,#e4467aff d,#b2d7b2ff e,#e57a9cff f,#96c996ff g,#deb5e8ff ``` ```image aceb aceb ace e ace dffffffffffecfffff ace fdddddddddcddddddd ace fdddddddcedddddddd eca fdddddecdddddddddd eca fddddcdddddddddddd eca fddceddddddddddddd eca fecddddddddddddddd eca bcddddddddddddddddd beca cafddddddddddddgdddd beceaab ee fdddddddddddgddddd baaeeccccceeaab ac fddddddddddgdddddd baaeeb fddddddddddgdddddd fdddddddddgddddddd fddddddddgdddddddd fdddddddgddddddddd fdddddddgddddddddd fddddddgdddddddddd fdddddgddddddddddd fddddddddddddddddd fddddgdddddddddddd fdddgddddddddddddd dffgffffffffffffff bb g g b b g g bb g g g bb g g g bb g g g b g g b g g g bb g g g bb g g g bb g g b b g g bb g g g bb g bggggggb g bggb g bggb bb bggb g bggb g bggb g bgb ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ed81a6ff b,#efcfeaff c,#e5457bff d,#f7eaf6ff e,#e85e8cff f,#f2a8c1ff g,#e0b4eaff ``` ```image dfceb fecf becad daceb fccf becad daceb fcef fecfd bacad daceb fccf becad daceb fccf ecad eb gd bgd dgd dgb gg bgd dgd dgb gg bgd dgb gb gg bgd dgb gg bgd bgd dgb gg bgd dgd dgb gg bgd dgb dgb ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ef92b1ff b,#eed4f0ff c,#e5447aff d,#f9eef7ff e,#ea6d97ff f,#f4b7ccff g,#e0b4eaff ``` ```image d fced fced fced e fced fcd aca dcf aca ea aca ac aca bcb aca ca decf ae decf fcd decf dcf g decaafbd ee g dbfaaeccccceaafbd fc bd dbfaaeb db g g bd g g g bb g g g db g g bd db g g bd dg g g bd g g g db g g bd db g g bd db g g bd g g g bb g g g db g g bd db g g bd dg g g bd g bgggbggb g bggb g bggb db bggb g bggb g bggb bd bgb ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4f40b5ff b,#dde49bff c,#9e96d6ff d,#ecf0c8ff e,#cfd86eff f,#7468c4ff g,#d1cdebff ``` ```image c c ca ca fa gac fa aa fa fa aa gag aa af af fa af cag af af af aa ac cag ac gac ac aa ag fa ag gac ag af gag fa gag gag ga af ga aa ga cag ca ac ca aa ca ca fa gac fa aa fa fa fa gag aa af af fa af cag af af af aaac cc ddbbeeee ddbbeeeeeeeeebbdd ddbbeeeeeeeeeebddd ddbbeeeeeeeeeebbdd ddbbeeeeeeeeebbdd dbbeeeeeeeeeebbdd ebbdd e ed e ed e eb e bb e bb e bb e de e de e de e ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#4360eeff b,#90fad2ff c,#aebaf7ff d,#d0faedff e,#b0d7b1ff f,#95c79bff g,#7590e3ff ``` ```image feeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeefaafeeeeeeeeeeeeeeeeeef efgaaaaaaafeeeeeeeeeeeeeeeef gaaaaaageeaaaafeeeeeeeeeeeeeef caaaaaaafeeeeeeeaaaaeeeeeeeeeeeeef caaaaaaac eeeeeeeeeeeeaaeeeeeeeeeeeeef caaaaaaac eeeeeeeeeebeeaaeeeeeeeeeeeef dgaaaaaac eeeeeeeeebbbeaaeeeeeeeeeeeef dgaaaaaagd eeeeeeeebbbbegageeeeeeeeeeef caaaaaagd eeeeeeebbbbbeeaaeeeeeeeeeeef caaaaaaac eeeeeebbbeebbeaaeeeeeeeeeeef caaaaaaac eeeeebbbeeebbegageeeeeeeeeef cgaaaaaac eeeebbbeeeebbeeaaeeeeeeeeeef dgaaaaaag eeebbbeeeeebbeeaaeeeeeeeeeef gaaaaaagd eebbbeeeeeeebbegageeeeeeeeef caaaaaagc ebbbeeeeeeeebbeeaaeeeeeeeeef caaaaaaac bbbeeeeeeeeebbeeaaeeeeeeeeef cgaaaaaac dbbeeeeeeeeeebbeefaaeeeeeeeef daaaag dbbeeeeeeeeeeeebbeeaaeeeeeeeef gd dbbeeeeeeeeeeeeebbeeaafeeeeeeef dbbdeeeeeeeeeeeeebbeeeaaeeeeeeef dbb eeeeeeeeeeeeeebbeeaaeeeeeeef dbb eeeeeeeeeeeeeebbeegageeeeeef dbb eeeeeeeeeeeeeebbeeeaaeeeeeef dbbd eeeeeeeeeeeeeebbeeeaaeeeeeef dbbd eeeeeeeeeeeeeeebbeegageeeeef bbd eeeeeeeeeeeeeeebbeeeaaeeeeef bbd eeeeeeeeeeeeeeebbeeeaaeeeeef bbd eeeeeeeeeeeeeeebbeeegageeeef bb eeeeeeeeeeeeeeeebbeeeaaeeeef dbd eeeeeeeeeeeeeeeebbeeeaaeeeef dbd eeeeeeeeeeeeeeeebbeeefaaeeef bb eeeeeeeeeeeeeeeebbeeeeaaeeef bd bb eeeeeeeeeeeeeeeeebbeeeaafeef bb bb eeeeeeeeeeeeeeeeebbeeeeaaeef dbb bb eeeeeeeeeeeeeeeeebbeeeeeeeef bbb dbd eeeeeeeeeeeeeeeeebbeeeeeeeef bbd bb eeeeeeeeeeeeeeeeeebbeeeeeeef bb bb ffffffffffffffffffbbfffffffe dbb bb bb bbb bb bbd bbd dbd bb bb bbd bb dbb bb bb dbb bb dbd bbb bb bb bbd dbb bb bb dbd bb dbb bb dbd bbb bb bb bbd bb bb bb bb bb dbb dbd dbd bbb bb bb bbd bb bb bb bb bb dbb bb dbd bbb dbd bb bbb bbd bbd bb bb bb dbb bb bbb bb bbd dbd bb bb dbb bb bbb bb bbd bb bb dbd dbb bb bbb bb bbd bb bbd bb bb dbd dbb dbd bbb bb bbd bb bb bb dbbbb bbbd bb d ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#4360efff b,#8ffad2ff c,#9baaf6ff d,#e4f7f6ff e,#b8fce2ff f,#cad2faff g,#6f85f2ff ``` ```image dd fcgaagf fcgaaaaaaaagf fcgaaaaaaaaaaaaaagf cgaaaaaaaaaaaaaaaaaaaagf aaaaaaaaaaagcd dcaaaaaaagf aaaaaaagcf dcaaaaaaagf aaagcf dcaaaaaaaf cf dcaaaaag dcaaaaf caaac dbbe faaaa dbbbb gaaaf dbbbbbd caaac dbbbbbbe daaaa dbbbbbbbb gaaaf dbbbbbbbbb faaag dbbbbbdebbbd daaaad dbbbbbd dbbbe gaaac dbbbbbd bbbb faaag bbbbbe bbbbd aaaad bbbbbe ebbbd caaac bbbbbe dbbbe faaag bbbbbe bbbb aaaaf ebbbbe bbbbd caaac ebbbbe ebbbe daaaa ebbbbe dbbbe gaaaf ebbbbe bbbb caaag ebbbbe ebbbd daaaa ebbbbe ebbbe gaaaf ebbbbe dbbbe faaag ebbbbe bbbb aaaad ebbbbe ebbbd gaaac bbbbe ebbbe faaag bbbe dbbbe aaaad bbe bbbb caaac bb ebbbd faaaa b ebbbe gaaaf dbbbe caaac bbbb daaaa ebbbd gaaaf ebbbe caaag dbbbe daaaad bbbb gaaaf ebbbd faaag ebbbe aaaad dbbbb caaac bbbb faaag ebbbd aaaaf dbbbe caaac dbbbb faaaa bbbb gaaaf ebbbd caaac dbbbe daaaa dbbbb gaaaf bbbbd faaag ebbbd daaaad dbbbe gaaac bbbb faaag bbbbd aaaad ebbbd caaac dbbbe faaag bbbb aaaaf bbbbd caaac ebbbe daaaa dbbbe gaaaf bbbb caaag ebbbd daaaa ebbbe gacf dbbbe d bbbb ebbbd ebbbe dbbbe bbbb ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#435fefff b,#8ffbd2ff c,#99a8f5ff d,#e0f9f4ff e,#bafce3ff f,#c6cff9ff g,#6d83f2ff ``` ```image fgaf fgaaaaaaaf dcaaaaaagddaaaaf caaaaaagf daaaa caaaaaaaf daad fgaaaaaac befaa fgaaaaaac bbb aa dgaaaaaagd bbbb gaf caaaaaagf bbbebd aa caaaaaagf bbb bb aa faaaaaaac bbb bb cac fgaaaaaac bbb bb aa dgaaaaaacd ebb ebd aa dcaaaaaagf ebb bb cac caaaaaagf ebb bb aa faaaaaaaf ebb bb aad fgaaaaaac ebb ebe fag daaaacd ebb bb aa gd ebb bb gaf dbb bb daa dbbd ebe aa dbbd bb gaf dbbd bb aa dbbd bb aa dbbd dbe cac dbbd bb aa dbbd bb aa bbd bb fag bb dbe aa dbe bb aad ebd bb fag bb bbd aa bd bb dbe gaf bb bb bb daa ebb bb bb bbb ebe ebd bbe bb dbe bb bb bb dbb bb bb ebb bb ebd bbe dbe dbb bbd ebd bb dbb bb bb ebb bb ebd bbe bb dbb bbd dbe bb bb ebd bb ebb bb ebd bbb bb bb bbd bb bb bb bb bb dbb ebe ebe bbb bb bb bbe bb bb bbd bb bb dbb bb ebe ebb dbe bb bbe ebd bbd bb dbb bb ebb bb bbb dbe bbd ebd bb bb dbb bb bbb bb bbe bb bb dbe dbb bbd ebb bb bbe bb bbd bb dbb dbe ebb ebd bbe bb bbd bb bb bb ebbbe bbbd bb d ``` <!-- end of image -->	[ "" ]
The hunt for intersections begins! Let's analyze this image closely. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#a863dbff b,#09c525ff c,#c598e6ff d,#b1d9b2ff e,#4fd162ff f,#e2d3f0ff g,#8ed294ff ``` ```image dddddddddddddddg dddddddddddddddg dddddddddddddddg dbbbbbbbeeggddf dddddddddddddddg dbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeef fddggeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeggddf bf ddddddgggeeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeggdf ebbb dddddddddddddddg fddggeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddg ddggeeebbbbbbbbbf dddddddddddddddg dddddddcdddddddg ddddddaaaddddddg ddddddaaaadddddg ggggggaaaaaggggd aafaaa aa faaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaaf aa aaaf aa aaaf aa caaf aa caaf aa caac aa caac aa caac aa faac aa faac faa faaa faa faaa faa faaa faa aaa cac faa aaa faa faa aaa aa faa aaa cac faa aaa aa faa aaa aaf faa aaa caa faa aaa aa caa aaa aaf cac aaa caa cac aaaf aa cac aaaf aaf cac aaaf faa cac aaaf aa cac caaf aac cac caac faa cac caac aa cac caac aac cac caa faa aac aaf aa aaf caa aac aaf aa faa aaf aaf aa aaf caa cac aaa aa aa aaa aaf aaf caaf caa caa faaf aa aa aac aaf aaf aaa faa caa aaa aa aa aaa aac aafaaa faa faaaaf aa aaaf aac aac faa f aa cac aa aaf caa aa aaf caa af ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ab68dcff b,#07c524ff c,#d9bbefff d,#8fe49cff e,#62da74ff f,#36cf4dff g,#c8f2ceff ``` ```image bffffeeeddddggggg bbbbbbbbbbbbbbbbbbbbbfffeeeeddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddeeeefffbbbbbbbbbbbbbbbbbbbbb gggggddddeeeffffb cc aaaa caaaaa caaaaaa caaaaaaa ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#a863dbff b,#08c525ff c,#d3b1ecff d,#9fe8aaff e,#53d667ff f,#e7e3f0ff g,#bc87e3ff ``` ```image fbbbbbbbeeedddf dbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddff fdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddf bf ffdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddff ebbb fdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffdddeeebbbbbbbbbf fc aag aaag aaaaa aafaaa aa faaa aa faaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaaf aa aaaf aa aaaf aa gaaf aa gaac aa gaac aa gaac aa caac aa caag aa caag faa caag faa faag faa faaa faa faaa faa faaa cag faa aaa faa faa aaa aaf faa aaa gag caa aaa aa caa aaa aaf caa aaa gaa cag aaa aa cag aaa aaf cag aaaf caa cag aaaf aa cag aaaf aac cag gaaf caa gag gaac aa gag gaac aac gac gaac caa gac gaac aa gac caac aac gac caa faa gac aaf aa gac gag gag aac aa faa aac aaf aaf aac gaa gag aaa aa aa gaa aac aaf caaf caa gaa faac aa aa faag aac aaf aag caa caa aaa aa aa aaa aac aacgaa faa caaaaf aa aaac aag aag faa f aa gag faa aaf gaa aa aaf caa af ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#5caab3ff b,#9156a9ff c,#91c6cdff d,#add5adff e,#b090beff f,#d0dae6ff g,#28909fff ``` ```image dddddddddddddddd dddddddddddddddd dddddddddddddddd ffe dddddddddddddddd feebbbbbbbbf dddddddddddddddd feebbbbbbbbbeef dddddddddddddeebbbbbbbbbbef ddddeebbbbbbbbbbeff debbbbbbeedddddd ebbbeddddddddddddd ebbbedddddddagddddddd ebbbe dddddddgggdddddd ebbbe dddddddgggdddddd ebbbe dddddddgaggddddd febbbe dddddddgadgadddd fbbbbf dddddddgadagdddd fbbbbf gc ga fbbbbf gf fg fbbbbf gf gg fbbbbf g gc fbbbbf g cg fbbbbf g ga c bbf g fg g fg gg g fg gc g fg cg fg cg ga cg cg fg ag ag gg gg ag gc ga gg cg gc ga ga gf ga fg gf gc gg g gc gc g gf cg fg gf ga cg g fg cg g gg ag g gc ga g cg gc g ga gc fg fg gf fg gg g cg gc g cg cg fg ag ga fg ag fg cg gg gg ag ga gc gg ga cg ga gc ga gc gc fg gf gf gg g gf gc g g cg g g ggg g fgg g gg g fg fg cg cg ag ag gg ga ga gc gc gf gf fagggg cgggggaf fagggggc fcgggggaf cgggggaf fagggggc fcgggggaf caggggac fagggggcf gggaf ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#54a6b2ff b,#9155a9ff c,#89c2caff d,#cfb6daff e,#b48cc4ff f,#e0dfecff g,#278f9eff ``` ```image ffddee ffddeebbbbbbbbb fddeeebbbbbbbbbbbbbbbbb debbbbbbbbbbbbbbbbbeeddff debbbbbbbbbbbeeddff ebbbbbbbeddff bbbbbef f bbef cga f aggc agggf aggga aggggc gggggg ggacggc ggafgggf gga cgga fggc aggc fggc fggg fggc cggc ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#49a0adff b,#9257aaff c,#a8d2d8ff d,#78b9c2ff e,#bf9cccff f,#dce1ebff g,#268f9eff ``` ```image fee febbbbbbbbbf feebbbbbbbbbeef feebbbbbbbbbbeff febbbbbbbbbbeef ebbbbbeef ebbbe ebbbe dg ebbbe aga fbbbbe agg fbbbbe gagg fbbbbe gd gc fbbbbe gd dg fbbbbe gc ga fbbbbe gc fg fbbbbf gf gg fbbbbf g gc fbbbbf g dg fbbbbf g ga c bbf g fg g fg gg g fg gc fg cg dg cg cg ga cg dg fg dg dg gg aa ag gc gd aa dg gd ga ga gc gd fgf gf gd gg g gc gc g gc dg fg gf ga cg gf fgf dg g gg ag g gc ga g dg gd fg ga gc fg fgf gf cg ag g cg gc g dg dg fg dg ga cg ag fgf dg aa ag dg ga gc aa gd dg gd gd ga gc gc fgf gc gc ag gf gf gc g gf dg g g ggg g fgg g ag fg fg cg cg dg dg ag aa ga gd gd gc gc gf fdgggg cgggggac caggggac fdgggggdf caggggac cdgggggd fdgggggdf caggggac fdgggggdf gggdc ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9f9aa6ff b,#584e63ff c,#11945eff d,#89c9afff e,#cbd8d5ff f,#48ac83ff g,#766e7fff ``` ```image de eccccce dccccccccce fccccccccccccce eccccccccd eccccccce dcccccccce eccccccc fcccccccf dccccccc eccccccccd dccccccc dcccccccce dccccccf fcccccccf dccccccf eccccccccd fccccccf dcccccccce fccccccf fcccccccf fccccccd eccccccccd fccccccd dcccccccce cccccccd fcccccccf ccccccce eccccccccd ccccccce dcccccccce ecccccd ecccccccf eccc ccccccd ed cccce dccc cccf ccce dccc cccc ccce bba dccc ebbbbb cccc abbbbbbb cccd gbbbbbbbbb dccc bbbbbe bbbb cccc bbbbb bbba cccd ebbbbb bbbb eccc abbbbg abbb cccc gbbbba bbbe cccd bbbbbe bbbg eccc bbbbb gbbb fccc bbbbb ebbb cccf ebbbbb bbbe eccc abbbbg bbbb fccc gbbbba abbb cccf bbbbbe bbb ccc bbbbb bbba fccc ebbbbb gbbb cccf abbbbg ebbb ccce gbbbba bbbe dcc ebbbbbbe bbbb ebbbbbbbb abbb egbbbbbbbbb bbb gbbbbbbbbba bbba gbbbbbbbbba gbbb abbbbbbbbba ebbb abbbbbbbbbg bbbe abbbbbbbbbg bbbb ebbbbbbbbbge abbb ebbbbbbbbbbe bbb egbbbbbbbbbe bbba gbbbbbbbbba gbbb abbbbbbbbba ebbb ebbbbbbbbba bbbe bbbbbbg bbbg bbbg abbb ee bbb bbba gbbb ebbb bbbe bbbg abbb bbb bbba bbbb ebbb bbbe bbbg abbb bbb bbba bbbb ebbb bbbe bbbg a ``` <!-- end of image -->	[ "" ]
I'm optimistic that I'll find some intersections in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c5e77ff b,#90adb5ff c,#24415bff d,#426a7bff e,#e6edecff f,#578d94ff g,#aed4b1ff ``` ```image bg aaaae aaaaaad aaaaaaaaab aaaaabaaaaaae eaaaad daaaaad eaaaad eaaaaaab eaaaaf baaaaaae gaaaaf daaaaad baaaab eaaaaaab baaaab baaaaaae baaaag daaaaaf faaaae eaaaaaab faaaae baaaaaae daaaae daaaaaf aaaaae eaaaaaag aaaaa baaaaaae aaaaa daaaaaf aaaaa eaaaaaag gaaaa baaaaaa e baa aaaaaaf aaae b eaaaaaag aaab baaaaaa baaa aaaaaaf eeeeeeeeeeeeaaaa eaaaaaag ggggggggggggbaaae faaaaaa ggggggggggggaaaae aaaaaaf ggggggggggggaaafe eaaaaaafggggggggggfaaage faaaaaagggggggggaaaage aaaaaafgggggggaaabge eaaaaaabggggaaaagge daaaaaagggaaafgge ggaaaaaaffaaaggge gggbaaaaaaaaaggge gggggfaaaaaabggge gggggggaaaaagggge ggggggggbaafgggge gggggggggggggggge gggggggggggggggge gggggggggggggggge eeeeggggbbbbbffdddddcccccccccccc eccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccddddddfffbe dcccdbgggeeeee eeeeeeeeeeeeeee bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc dcc be ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c5e77ff b,#8fb5c0ff c,#24415bff d,#3c7085ff e,#e3ebeeff f,#5e91a2ff g,#c1d2d9ff ``` ```image faaaaa eaaaaaa baaaaaa aaaaaaa gaaaaaaa faaaaaaf eaaaaaaae g baaaaaad afe daaaaaab aaab gaaaaaaa aaaadg faaaaaaf aaaaaafe eaaaaaaag aaaaaaaab baaaaaad aaaaaaaaadg daaaaaab aaaaaaaaaaafe gaaaaaaae faaaaaaaaaaaab faaaaaaf gdaaaaaaaaaaadg eaaaaaaag baaaaaaaaaaaafebaaaaaad efaaaaaaaaaaaaaaaaaaab gdaaaaaaaaaaaaaaaaae baaaaaaaaaaaaaaaf efaaaaaaaaaaaaag gdaaaaaaaaaad baaaaaaaaab efaaaaaaae gdaaaab bffg eeeeeegggggg ffddddddddccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#0c5e77ff b,#95adb9ff c,#24415bff d,#436c81ff e,#e1e8ebff f,#6992a2ff g,#bacdd4ff ``` ```image bg aaaae aaaaaad aaaaaaaaab aaaaabaaaaaae eaaaad daaaaad eaaaad eaaaaaab eaaaaf baaaaaae gaaaaf daaaaad gaaaab eaaaaaab baaaab baaaaaae faaaag daaaaad faaaag eaaaaaab daaaae baaaaaae daaaae daaaaad aaaaa eaaaaaag aaaaa baaaaaa aaaaa daaaaad aaaaa eaaaaaag gaaaa faaaaaa e baa aaaaaaf aaag b eaaaaaag aaab faaaaaa faaa aaaaaaf aaaa eaaaaaag eaaae faaaaaa aaaa aaaaaaf aaaf gaaaaaag baaa faaaaaa aaaa aaaaaaf eaaae gaaaaaag daaa faaaaaa aaaf aaaaaafbaaa gaaaaaaaaa faaaaaag aaaaa gaab eeeggggbbbbbffffdddddccccccccccc eccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccccccccccce ccccccccccccccccccccccccccccccccccccccccccddddffffbbbe dcccdbggggeeee bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc dcc fe ``` <!-- end of image -->	[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#43df52ff b,#bb80e4ff c,#77e282ff d,#edeff1ff e,#b2d9b3ff f,#d5b1eeff g,#a1d2a2ff ``` ```image e caaae aaaaaaad caaaaaaac dcaaaaaaag daaaaaaaae eaaaaaaaad gaaaaaaacd caaaaaaac dcaaaaaaae eaaaaaaaae eaaaaaaaad caaaaaaac dcaaaaaaag dc daaaaaaaae dcaaaa eaaaaaaaad ddddddddddddddd ecaaaaaaaa gaaaaaaacgggggggggggggggg ecaaaaaaaaaacd caaaaaaaceeeeeeeeeeeeg eaaaaaaaaaaacd dcaaaaaaaceeeeeeeecaaaaaaaaaaagd eaaaaaaaagecaaaaaaaaaaag dgecaaaaaaaaaaaaaaae dgeeeecaaaaaaaacg dgeeeebbbcaceeeeg dgeeebbbbbbeeeeeg dgeebbbbbbbbeeeeg dgebbbbeebbbbeeeg dgbbbbeeeebbbeeeg dbbbbeeeeeebbbeeg fbbbeeeeeeebbbbeg fbbbeeeeeeeeebbbbg dbbbeeeeeeeeeeebbbg bbbbeeeeeeeeeeeebbb bbbbgeeeeeeeeeeeebbbb bbbbdgeeeeeeeeeeeeebbbf bbbb dgeeeeeeeeeeeeeebbb bbbb dgeeeeeeeeeeeeeebbbb fbbb dggggggggggggggggbbbf fbbbd ddddddddddddddd dbbb dbbbd fbbb dbbbf bbbd bbbb dbbb bbbb bbbb bbbb bbbd bbbb dbbb fbbb bbbb fbbbd bbbd dbbbd dbbb dbbbf bbbf bbbf bbbd bbbb fbbb bbbb bbbf bbbb bbb fbbb fbbb fbbbd bbbf dbbbd bbb dbbbf fbbb bbbf bbbf bbbb bbb bbbb fbbb bbbb bbbf fbbb dbbb fbbbd fbbb dbbbd bbbd dbbbf dbf bbbf bbbb bbbb bbbb bbbb fbbbd dbbbd dbbbf bbbf bbbb bbbb bbbb bbbb fbbb fbbbd dbbbf bbbf dbb ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#43df53ff b,#bb80e4ff c,#78df86ff d,#edddf7ff e,#acf0b3ff f,#d0a7ecff g,#d7f7daff ``` ```image ce aaace aaaaaacg aaaaaaaaaeg aaaaaaaaaaaceg ge aaaaaaaaaaaaaace gecaaa gcaaaaaaaaaaaaaaacg gecaaaaaaa ecaaaaaaaaaaaaaaaaaaaaaaaaaa ecaaaaaaaaaaaaaaaaaaaaaaa geaaaaaaaaaaaaaaaaaaaaa gcaaaaaaaaaaaaaaaace dbbbcaaaaaaaaaceg dbbbbbbccaaceg dbbbbbbbbbbbd bbbbbbbbbbbbf fbbbbbbbbbbbbbf fbbbbbbb fbbbbbbd fbbbbbbbd dbbbbbbb dbbbbbbbd dbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbd dbbbbbbbf dbbbbbbb bbbbbbbf dbbbbbbf fbbbbbbf fbbbbbbf fbbbbbbb fbbbbbbd bbbbbbb dbbbbbbb bbbbbbd dbbbbbbf bbbbbd fbbbbbb bbbbd bbbbbb bbbf dbbbbb bbf dbbbb bf fbbb f bbb dbb db f ``` <!-- end of image --> I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#43df53ff b,#bb7fe5ff c,#78e584ff d,#e8d4f5ff e,#a9f0b0ff f,#cda2ebff g,#d5f7d9ff ``` ```image e caaag aaaaaaag caaaaaaac caaaaaaae gaaaaaaaae eaaaaaaaag eaaaaaaac caaaaaaac gaaaaaaaae gaaaaaaaag eaaaaaaaag caaaaaaac caaaaaaae gc gaaaaaaaae gcaaaa eaaaaaaaag gcaaaaaaaa eaaaaaaac ecaaaaaaaaaacg caaaaaaac eaaaaaaaaaaacg gcaaaaaaae eaaaaaaaaaaae gaaaaaaaag eaaaaaaaaaaae eaaaaaaaaaaaaaaae caaaaaaaae dbbbcae bbbbbb bbbffbbb bbbb bbbf bbbb bbbd bbbb dbbb fbbb fbbb dbbbd bbbf dbbbd bbbd bbbf dbbb bbbf fbbb bbbb bbbd bbbb bbb bbbb fbbb fbbb bbbd dbbbd bbb dbbbd fbbb bbbf bbbd bbbf dbbb bbbb fbbb bbbb bbbd bbbb dbbb fbbb bbbf dbbb bbbd dbbbd dbbb bbbf bbbf bbbf bbb bbbb dbbb bbbb bbbf bbbb bbb fbbb dbbb fbbb bbbf dbbbd bbb bbbf fbbb bbbf bbbd bbbb bbb bbbb fbbb bbbb bbbd fbbb bbb fbbb fbbb dbbbd bbbd bbbd dbd bbbf bbbb bbbb bbbb fbbb fbbb dbbbd dbbbd bbbf bbbb bbbb bbbb fbbb fbbb dbbbd dbbbd bbbf dbb ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? 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,#0be51eff b,#22546eff c,#92c69dff d,#5d8391ff e,#d9eee1ff f,#57ed64ff g,#afd9b2ff ``` ```image efe aaaaf eaaaaaaag gaaaaaaaaaae gaaaaaaaaaaaaf faaa gaaaaaaaaag faaa faaaaaaaaae faaa efaaaaaaaaf aaaf gaaaaaaaaac aaaf faaaaaaaaae aaaf faaaaaaaaf aaag gaaaaaaaaac aaag caaaaaaaaag aaae faaaaaaaaf aaa eaaaaaaaaaf aaa caaaaaaaaag aaa faaaaaaaafe eaaa eaaaaaaaaaf gaaa gaaaaaaaaag gaaa faaaaaaaaae faaa eaaaaaaaaaf faaa gaaaaaaaaag faaa faaaaaaaaae aaaf efaaaaaaaaf aaaf gaaaaaaaaac aaaf faaaaaaaaae aaag faaaaaaaaf aaag gaaaaaaaaac aaae caaaaaaaaag aaa faaaaaaaaf aaa eaaaaaag aaa caaa eaaa f gaaa gaaa faaa faaa gcaaaacccccccccc cgaaaagggggggggg cgaaafgggggggggg cgaaaabdgggggggg cgaaabbbbdgggggg cgaaabbbbbbdgggg cgaaabbbbbbbbdgg cgggbbbcbbbbbbbd cgggbbbcggbbbbbbbc cgggbbbgggggbbbbbbbc cgggbbbgggggggbbbbbbbc cggcbbbggggggggcbbbbbbbc cggdbbbggggggggg ebbbbbbbg cggdbbbggggggggg ebbbbbbbg cggbbbbggggggggg ebbbbbbbg cggbbbdggggggggg ebbbbbbbg cggbbbdggggggggg ebbbbbbbe cggbbbcggggggggg ebbbbbbbe gccbbbcccccccccc ebbbbbbbe bbb gbbbbbbbe bbb gbbbbbbbe ebbb gbbbbbbbe gbbb gbbbbbbbe dbbb cbbbbbbb dbbb cbbbbbbb bbbd cbbbbbbb bbbd cbbbbbbb bbbg dbbbbbbd bbbe dbbbbbbd dbb dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd bbbbbbbc bbbbbbbc bbbbbbbc bbbbbbbc bbbbbbbg ebbbbbbbg ebbbbbbbg ebbbbbc ebbb ec ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#0be51eff b,#23546eff c,#58e967ff d,#6e8ea0ff e,#d4e4e0ff f,#18884fff g,#a2c0beff ``` ```image aaaaaaa aaaaaaa aaaaaac aaaaaac eaaaaaac eaaaaaacdde eaaaaaafbbbde eaaaaaafbbbbbde gaaaaaafbbbbbbbde gaaaaaafbbbbbbbbbde caaaaaafbbbbbbbbbbbde caaaaaafbbbbbbbbbbbbbde caaaaaabbbbbbbbbbbbbbbbde gccccaabbbbbbbbbbbbbbbbbbde gbbbbbbggbbbbbbbbbbbbbbd dbbbbbbe gbbbbbbbbbbbbb dbbbbbbe gbbbbbbbbbbb dbbbbbb gbbbbbbbbb bbbbbbb gbbbbbbb bbbbbbb gbbbbb bbbbbbd gbbb ebbbbbbd gb ebbbbbbd gbbbbbbg gbbbbbbg dbbbbbbe dbbbbbbe dbbbbbb bbbbbbb bbbbbbb bbbbbbd ebbbbbbd ebbbbbbd gbbbbbbg gbbbbbbg ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#0ae51dff b,#23546eff c,#87f290ff d,#648699ff e,#ceedd7ff f,#46eb55ff g,#9db3beff ``` ```image ec aaaac eaaaaaaac eaaaaaaaaafe caaaaaaaaaaaaf caaa caaaaaaaaac faaa caaaaaaaaae faaa efaaaaaaaaf aaaf eaaaaaaaaac aaaf caaaaaaaaae aaac faaaaaaaaf aaac eaaaaaaaaac aaae caaaaaaaaae aaae faaaaaaaaf aaa eaaaaaaaaac aaa caaaaaaaaae aaa faaaaaaaaf eaaa eaaaaaaaaac eaaa caaaaaaaaac caaa faaaaaaaafe caaa eaaaaaaaaaf faaa caaaaaaaaac faaa caaaaaaaaae aaaf efaaaaaaaaf aaaf eaaaaaaaaac aaac caaaaaaaaae aaac faaaaaaaaf aaae eaaaaaaaaac aaae caaaaaaaaae aaa faaaaaaaaf aaa eaaaaaae aaa caaa eaaa c eaaa caaa caaa faaa faaa aaaf aaaf aaaabd aaabbbbd aaabbbbbbd aaabbbbbbbbd bbbgbbbbbbbd bbbe bbbbbbbg bbb bbbbbbbg bbb bbbbbbbg ebbb bbbbbbbg gbbb bbbbbbbg dbbb ebbbbbbbg dbbb ebbbbbbbg bbbd ebbbbbbbe bbbg ebbbbbbbe bbbg ebbbbbbbe bbbe ebbbbbbbe bbb ebbbbbbbe bbb gbbbbbbbe ebbb gbbbbbbbe gbbb gbbbbbbb dbbb gbbbbbbb dbbb gbbbbbbb bbbd gbbbbbbb bbbd gbbbbbbb bbbg dbbbbbbb bbbe dbbbbbbd dbb dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd bbbbbbbd bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg ebbbbbbbg ebbbbbg ebbb eg ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#858c59ff b,#b265dbff c,#5b621dff d,#9dbf92ff e,#b3d5b1ff f,#cd9be7ff g,#e5d9e7ff ``` ```image bbb fbbbb fbbbbf gbbbbf gbbbbb bbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb gbbbbb bbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb eca gbbbbb ccc bbbbbg cca bbbbbg gccg fbbbbf acc fbbbbf ccc fbbbbf cce gbbbbb dcc gbbbbb ccc bbbbbg ccd bbbbbg gcc fbbbbf acc fbbbbf cca bbbbb ccg bbbb dcc fbbg ccc gbbb ccd bbb ecc bbb ccc bbbg cca gbbb ccg bbb acc bbb ccc bbbg cce fbbf ecc bbb ccc bbb cca bbbg gcc fbbf acc bbb ccc bbb cce bbbg dcc fbbf ccc gbbb ccd bbb gcc bbb acc fbbf cca gbbb ccg bbb dcc bbb ccc dddddbbbdddddde ccd eeeeebbbeeeeeed ecc eeeebbbeeeeeeed ccc eeebbbeeeeeeeed cca eebbbeeeeeeeeed ccg eeebbeeeeeeeeed acc eeecaeeeeeeeeed ccc eecccceeeeeeeed cce eeeccccaeeeeeed ecc eeeeacccceeeeed ccc eeeeeeccccaeeed ccd eeeeeeedccccded gcc eeeeeeeeecccccd acc eeeeeeeeeedccccg cca eeeeeeeeeeeeccccc gcce eeeeeeeeeeeeedcccce gdccccccc eeeeeeeeeeeeeedacccc gdaccccccccccca eeeeeeeeeeeeeed ccccd eaccccccccccccadg dddddddddddddde dcccc eacccccccccccccdg ccccd eacccccccccccccdg dcccc gdcccccccccccccae ccccccccccccccccae eccccccccadg aadg ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#7c814dff b,#b366dbff c,#5a611dff d,#adb08eff e,#d6d7c8ff f,#d3a7eaff g,#ece1efff ``` ```image gbbbbbbg bbbbbbf fbbbbbf gbbbbbb gbbbbbbg bbbbbbf fbbbbbf gbbbbbb gbbbbbbg bbbbbbg gbbbbbf gbbbb ebbg acad dccccae gcccccccd eacccccccae dccccccccd eacccccccce dccccccccag gacccccccce dccccccccag gaccccccccd eccccccccag gdccccccccd eaccccccca dccccccc eaccccc dcccc eacc dc g ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#7e834eff b,#b365dbff c,#5a611cff d,#a6aa85ff e,#cbcdb8ff f,#cf9ee8ff g,#eaddedff ``` ```image bbb fbbbb fbbbbf fbbbbb gbbbbb gbbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb gbbbbb bbbbbg bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb eca gbbbbb ccc bbbbbg cca bbbbbg gccg fbbbbf acc fbbbbf ccc fbbbbf cce gbbbbb dcc gbbbbb ccc bbbbbg ccd bbbbbg gcc fbbbbf acc fbbbbf cca bbbbb cce bbbb dcc fbbf ccc gbbb ccd bbb ecc bbb acc bbbg cca gbbb ccg bbb dcc bbb ccc bbbg cce fbbf ecc bbb ccc bbb ccd bbbg gcc fbbf acc gbbb cca bbb cce bbbg dcc fbbf ccc gbbb ccd bbb ecc bbbg acc fbbf cca gbbb ccg bbb dcc bbb ccc fbbf ccd gbbb ecc bbb ccc bbb cca bbbg gccg gbb dcc cd ccc cccc cce ccccd ecc dccccg ccc cccca ccd eccccg gcc accca acc ecccce cca accca ecce gcccce gdacccccc acccc gdaccccccccccca gccccd geaccccccccccccadg dcccc eaccccccccccccadg ccccd edcccccccccccccde dcccc edcccccccccccccde ccccccccccccccccae eccccccccadg aadg ``` <!-- end of image -->	[ "" ]
I'm ready to tackle this image and find those intersections! I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#d93a19ff b,#919e0cff c,#efd6c5ff d,#ea9886ff e,#b5bc6aff f,#dd684dff g,#aed5acff ``` ```image eb ebbbe gbbbbbb ggggggggggggebbbb bb ggggggggggebbbba ebg gggggggggbbbbaaa cbb gggggggbbbbeaaaa gggggbbbbegaaeaa gggbbbbeggaafgaa gbbbbegggaaaggaa bbbbeggggaaagggaac bbbbegggggfaaggggfac ebbbeggggggeaagggggfad ebbbe ggggggaaegggggfad ebbbe gggggaafggggggeaf ebbbb ggggaaaggggggggaf ebbbb gggfaagggggggggaa gbbbb ggfaaggggggggggaa cbbbb ggaagggggggggggaa cbbbb gaaegggggggggggaa cbbbbc aafggggggggggggaa cbbbbc aaagggggggggggggaa bbbbc faaggggggggggggggaa bbbbc daagggggggggggggggaa bbbbg caac fac bbbbe aad dad bbbbe aaf dad ebbbe aaa caf ebbbe faa caf ebbbe caa aa ebbbb aac aa ebbbb aad aa gbbbb aaf aa cbbbb aaa aa cbbbb daa aa cbbbbc caa aa cbbbbc aac aa bbbbc aad fac bbbbg aaa dad bbbbg faa dad bbbbe daa caf cbbe caa caf e aac aa aaf aa aaa aa faa aa daa aa caac aa aad aa aaf aa aaa fac faa dad daa dad caac caf aad caf aaf aa aaa aa faa aa caa aa aac aa aad aa aaf aa faa aa daa fac caa dad aac dad aaf caf aaa caf af faa aa daaaad daa aa daaaaad caac aa daaaaad aad aa faaaaad aaf aa faaaaaaa aa faaa aa aa fac dad dad caf dc ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#da3b1aff b,#919c0aff c,#f1d8c9ff d,#eca392ff e,#cad18cff f,#e37058ff g,#a9b140ff ``` ```image eb ebbb egbbbb cgbbbbbb cgbbbbbbbb cgbbbbbbbbaa cgbbbbbbbbaaaa cgbbbbbbbgaaaaaa cgbbbbbbbgdaaaaaaa cgbbbbbbbgccaaaaafaa ebbbbbbbgc aaaaacdaa ebbbbbbbgc faaaad caa ebbbbbbbge faaaaf caa ebbbbbbbge daaaaf caa ebbbbbbbbe caaaaa aa ebbbbbbbbe caaaaac aa bbbbbbbe faaaac aa bbbbbe faaaad aa bbbe daaaaf fa be daaaaf fa c caaaaa fa caaaaac da faaaac da faaaad da daaaaf ca daaaaf ca caaaaac ca caaaaac a faaaad a faaaad a daaaaf a caaaaf f caaaaac f aaaaac f faaaad d faaaad d daaaaf d aaaaa c aaaac c aaac c aad af ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#da3919ff b,#919e0cff c,#e9c8afff d,#e98f7dff e,#b9c266ff f,#e16349ff g,#f5e8ddff ``` ```image eb ebbbe cbbbbbb cbbbb bb cbbbba ebc gbbbbaaa gbb gbbbbcaaaa g gbbbbcgaacaa bbbbc aad aa bbbbc aaf aa bbbbe faa aag bbbbe daa fac ebbbe caag dac ebbbe aac dad ebbbe aad caf ebbbb aaa gaf ebbbb faa aa cbbbb daa aa cbbbb gaag aa cbbbbg aac aa gbbbbg aaf aa gbbbbg aaa aa gbbbbc faa aa bbbbc caa aag bbbbc gaag fac bbbbe aad dac bbbbe aaf dad ebbbe aaa caf ebbbe faa gaf ebbbe caa aa ebbbb gaac aa ebbbb aad aa cbbbb aaf aa cbbbbg faa aa cbbbbg daa aa gbbbbg caag aa gbbbbg gaac aag gbbbbc aad fac bbbbc aaf dac bbbbc faa dad bbbbe daa caf gbbe gaag gaf e aac aa aaf aa aaa aa faa aa daa aa gaag aa aac aa aaf aag aaa fac faa dac caa dad gaag caf aad gaf aaf aa aaa aa daa aa caa aa gaac aa aad aa aaf aa faa aag daa fac caag dac aac dad aad caf aaa gaf af faa aa daaaad daa aa daaaaad gaag aa daaaaad aac aa daaaaad aaf aa faaaaaaa aa gfaaa aa g aag fac dac dad caf gdc ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#db723fff b,#b99ec9ff c,#d34f0fff d,#9a72b1ff e,#efc2acff f,#e9dce4ff g,#e59b78ff ``` ```image feegg feeggaaccccccccccccccc eaccccccccccccccccaaggeef ccaaggeef gcc cce gcc cce gcc cce gca cce gca fccf aca fccf aca fccf aca fccf aca fccf acg ecc fd acg bdb ecc fdd ccg bdb ecc fdd ccg bdb ecc fdd ccg fddb ecc bddb cce dddf a fddd bddb fdddf bddb dddb fdddf bddb fdddf ddd dd dd dd dd fdb fdb bdf bdf dd dd dd dd fdb fdb bdf bdf dd dd dd dd fdd fdb bdb bdf ddf dd dd dd dd fdb fdb bdf bdf dd dd dd dd db ``` <!-- end of image -->	[ "" ]
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,#d971faff b,#7f5f87ff c,#e9c4f5ff d,#c0aec8ff e,#b0d7b0ff f,#9c86a2ff g,#96c896ff ``` ```image dc fbbbbbbdc bbbbbbbbbbbbbdc bbbbbbbbbbbbbbbbbbbdc bbb cdbbbbbbbbbbbbbbbbbfdcgeeeeeeeeeeeeeeg bbb cdbbbbbbbbbbbbbbbbbbfeeeeeeeeeeg bbb cdbbbbbbbbbbbbbbbbbbfeeeeg bbb cfbbbbbbbbbbbbbbbbbbd bbfc bbb eegfbbbbbbbbbbbbbbbbbfd bbb cbbb eeeeeeaaafbbbbbbbbbbbbbbbbbfd bbb dbbb eeeeedaaaaeeeegbbbbbbbbbbbbbbbbbbfd cbbb dbbf eeeeeaaaaadeeeeg dfbbbbbbbbbbbbbbbbbb fbbf eeeeaaaaaaaeeeeg dfbbbbbbbbbbbd bbbd eeeaaaadaaadeeeg dfbbbbb bbbd eedaaaaedaaaeeeg bbbc eeaaaaeeeaaadeeg bbb eaaaaeeeedaaaeeg bbb daaadeeeeeaaadeg bbb caaaaeeeeeedaaaeg bbb aaaaeeeeeeeeaaadg bbb aaaaeeeeeeeeeaaaag bbb caaadeeeeeeeeeeaaad cbbb aaaaeeeeeeeeeeeaaaa c dbbb aaaaeeeeeeeeeeeeeaaac dbb dbbb aaaa eeeeeeeeeeeeeaaaa bbbd fbbf caaac eeeeeeeeeeeeeeaaac fbbb fbbd aaaa ggggggggggggggaaaa bbbd bbbd aaaa aaac fbbb bbbc aaaa aaaa bbbd bbb caaac aaac fbbb bbb aaaa aaaa bbbd bbb aaaa aaa dbbb bbb aaaa aaaa bbbf bbb caaac aaa dbbb bbb aaaa aaaa aaa bbbf cbbb aaaa aaa aaac dbbb dbbb aaaa aaaa aaa bbbf dbbb caaac aaa aaaa dbbb fbbf aaaa aaac aaa bbbf fbbd aaaa caaa caaa cbbb bbbd aaaa caaa aaaa bbbbbbbc caaac caaa aaa cbbbbbbc aaaa caaa caaa bbbbbbggggggggaaaa caaa aaaa gbbbbbeeeeeeeaaaa caaa aaa gbbbbbeeeeeedaaac caaa caaa gebbbbeeeeeeaaaa aaa aaaa gebbbbeeeeeaaaae aaa aaa geebbbeeeeaaaade aaa caaa geegfeeeedaaaaee aaa aaaa geeeeeeeeaaaaeee aaa aaa geeeeeeeaaaaeeee aaa caaa geeeeeeaaaadeeee aaa aaaa geeeeedaaaaeeeee aaa aaa geeeeeaaaaeeeeee aaa caaa geeeeaaaaeeeeeee aaa aaaa geeeaaaadeeeeeee aaa aaa geedaaaaeeeeeeee aaa caaa geeaaaaeeeeeeeee aaa aaaa geaaaaeeeeeeeeee aaa aaa gdaaadeeeeeeeeee aaac caaa gaaaaeeeeeeeeeee aaac aaaa aaaaeeeeeeeeeeee aaac aaa aaaaeeeeeeeeeeeee aaac caaa caaadeeeeeeeeeeeee aaac aaaa aaaagggggggggggggg aaac aaa aaaa aaaa caaa aaaa caaa aaac caaac caaa aaa aaaa caaacaaa aaaa caaaaaac aaaa caaaaaa caaac caaaaaa aaaa aaaaac aaaa aaaaa aaa aaaaa ac aaaac aaaa aaaa aaac aaa aaa ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d96ffaff b,#7f5f87ff c,#e191fbff d,#ae9ab3ff e,#f4defbff f,#ebb5fcff g,#d1c6d4ff ``` ```image bbbbbbbbbbbb faa bbbbbbbbbbbb eaaa dbbbbbbbbbbb eaaaa ebbbbbbbbbbb caaaa dbbbbbbbbbd faaaaa ebbbbbbbbbd eaaaaaa dbbbbbbbbd eaaaaaaa ebbbbbbbbd caaaaaaa dbbbbbbbg faaaaaaaf ebbbbbbbg eaaaaaaac dbbbbbbg eaaaaaaaa bbbbbb caaaaaaae gbbbbd faaaaaaaf gddg eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae aaaaaaae aaaaaaf aaaaac aaaaae aaaaf aaac ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. 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,#d96ffaff b,#7f5f87ff c,#e49afbff d,#c8bacbff e,#f3e3f9ff f,#9f83a6ff g,#ecbafcff ``` ```image bffdde bbbbbbbffdde bbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dffbbbbbbbbbbbbbbbbbbbbbbbbbbbb eddffbbbbbbbbbbbbbbbbbbbbbb eddfbbbbbbbbbbbbbbbbb caaaafffbbbbbbbbbb gaaaaaaae eddffbbbb eaaaaaaaac edd aaaaaaaaaae caaaaaaaaaac gaaaaaaaaaaaae eaaaaaaaaaaaaac aaaaaaaaaaaaaaae caaaaaaaegaaaaaac gaaaaaaag aaaaaaae eaaaaaaac gaaaaaac aaaaaaaae aaaaaaae caaaaaaae gaaaaaag gaaaaaaag eaaaaaaa eaaaaaaac caaaaaag aaaaaaaae eaaaaaaa caaaaaaag caaaaaag gaaaaaaac eaaaaaaa aaaaaaac caaaaaag aaaaaaae eaaaaaaa aaaaaag caaaaaag aaaaac eaaaaaaa aaaac caaaaaag aaaae eaaaaaaa aaag caaaaaa aac eaaaaaa aa caaaaa ae eaaaaa g caaaa eaaaa caaa eaaa caa ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d970faff b,#7f5f87ff c,#e6a2fbff d,#b4a1b8ff e,#f1daf9ff f,#9980a0ff g,#d1c6d4ff ``` ```image gg fbbbbbbdg bbbbbbbbbbbbbdg bbbbbbbbbbbbbbbbbbfde bbb edbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfge bbfe ebbb gdbbbbbbbbbbbbbbbbbfg bbbe gbbb caafbbbbbbbbbbbbbbbbbfg bbb gbbb eaaaa gfbbbbbbbbbbbbbbbbbfg ebbb dbbf aaaaac gfbbbbbbbbbbbbbbbbbb fbbf aaaaaaa gfbbbbbbbbbbbd fbbd caaaeaaac egfbbbbb bbbg eaaac caaa e bbbg aaaa aaac bbbe aaaa caaa bbb caaae aaac bbb eaaaa caaa bbb aaaa aaac bbb aaaa caaa ebbb caaae aaae gbbb eaaaa caaa e gbbb aaaa aaae dbb dbbf aaaa caaa bbbg fbbf caaae aaae fbbb fbbd aaaa aaaa bbbg bbbg aaaa aaae fbbb bbbg aaaa aaaa bbbd bbbe caaac aaae dbbb bbb aaaa aaaa bbbd bbb aaaa aaae dbbb bbb aaaa aaaa bbbd bbb caaac aaae dbbb bbb aaaa aaaa aaae bbbf ebbb aaaa aaa aaae gbbb gbbb aaaae aaaa eaaa bbbf dbbb eaaac eaaa aaaa gbbb dbbf aaaa aaac aaae bbbf fbbd aaaa caac eaaa gbbb bbbg aaaae caac aaaa bbbbbbbg eaaac caaa aaae gbbbbbbe aaaa caaa eaaa bbbbbb aaaa eaaa aaaa ebbbbb caaae eaaa aaae bbbbb eaaac eaaa eaaa ebbbb aaaa eaaa aaaa bbbb aaaa aaa aaae bbb caaae aaa eaaa gd eaaac aaa aaac aaaa aaa aaae aaaa aaa eaaa caaae aaa aaac eaaac aaa aaa aaaa aaa eaaa aaaa aaa aaac caaae aaa aaa eaaac aaa eaaa aaaa aaa aaac aaaa aaae aaa caaae aaae eaaa eaaaa aaae aaac aaaa aaae aaa aaaa aaac eaaa caaae aaac aaac eaaaa caac aaa aaaa caac eaaa aaaa caac aaac caaae caaa aaa aaaa caaaeaaa aaaa eaaaaaac aaaa eaaaaaa caaac eaaaaaa aaaa eaaaaac aaaa aaaaa aaa aaaaa ac aaaac aaaa aaaa aaac aaa aaa ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#eccdb1ff b,#cf843bff c,#ddecf2ff d,#d9a975ff e,#96ca96ff f,#f2f4f0ff g,#b0d7b1ff ``` ```image ffffffffffffffff fegggggggggggggge fggggggggggggggge f fggggggggggggggge cc f fggggggggggggggge cc cccf fggggggggggggggge cc cccc fggggggggggggggge cc fcccffggggggggggggggge cc fccccggggggggggggge cc fgccccgggggggggge cc fgggggcccggggggge cc fggggggggccccggge cc fgggggggggggccccg cf fgggggggggggggggcccf cf fggggggggggggggge fcccf cf fggggggggggggggge cccc cf fggggggggggggggge fcccf cf fggggggggggggggge fcccf c fggggggdgggggggge cccc c fgdbbbbbbggggggge fcccf c adbbbbdggggbbgggggge fcccf fc adbbbbaffeeeeeeeebbeeeeeg cccc fc bbbbaf bd fccc f bd bd bd ba ba ba ba ba ba fba fba fbf fbf fbf fbf fbf fbf fbf abf abf ab ab ab ab ab ab ab db db db db db db db db db bb bb bb bb bb bb bd bd bd bd bd bd bd bd bd ba ba ba ba ba ba fba fbf ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4e3d3ff b,#cf8137ff c,#dfedf4ff d,#d89b60ff e,#ecceb2ff f,#f0f6f9ff g,#e1b081ff ``` ```image ff cccff cccccccf fcccccccff ffccccccff fcccccccf fcccccccff ffccccccff fcccccccf fcccccccf ffcccc fc ae aegdbbbdf aegdbbbbbbbbbd dbbbbbbbdgea ebbd bbbdgea ebbd ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#f0d9c3ff b,#cf8238ff c,#dfedf4ff d,#d7985cff e,#e8c5a3ff f,#f5f5f4ff g,#e0af80ff ``` ```image f cc f cc cccc cc ccccf cc fcccf cc fcccc cc ccccf cc fcccf cc fcccc cc ccccf cc fcccf cf fcccc cf cccc cf fcccf cf fcccc cf fa cccc c edbbbbd fcccf fc adbbbdef bd fcccc fc adbbbdef bg cccc fc bbbbef bg fccc f bg bg bg be be be be ba fba fba fba fba fba fbf fbf fbf abf abf abf abf abf ab ab eb eb eb eb gb gb gb gb gb db db db db db db db bd bd bd bd bd bd bd bg bg bg bg bg be be be be ba fba fba fbf ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c8406aff b,#65a74fff c,#b8d6aeff d,#e5a8bbff e,#e9e3deff f,#8ebe7eff g,#d57090ff ``` ```image g gaad aaaaad gaaaaae aaaaaa eaaaaag daaaaad gaaaaae gaaaaa aaaaaa ae eaaaaag gd aaad daaaaadgaae aaaa gaaaaaaaa gaaa aaaaaaad daaae aaaaaa eaaad eggaaa aaag aaae aaaa daaa aaaa aaad gaaa aaa daaae gaaa eaaad aaae aaag daaa aaaa aaad aaaa aaa gaaa ef gaaa daaae bbb aaae eaaad bbbe daaa aaag ebbb aaad aaaa bbb aaa aaaa fbbe gaaa gaaa ebbb aaae daaae bbb daaa aaad fbbc aaad aaag bbb aaa aaaa bbb gaaa aaaa fbbc aaae gaaa bbb daaa eaaae bbb aaag aaad cbbc aaa aaag bbb gaaa aaaa bbb aaae gaaa cbbf eaaa gaaa bbb aaag eaaae bbb aaa aaad cbbf gaaa aaag bbb aaae aaaa bbbe eaaa gaaa ebbf aaaaaaa bbb aaaaae bbbe gaaad ebbb aag bbb fbbe ebbb bbb fbbc bbb bbb fbbc bbb bbb cbbc bbb bbb cbbf bbb bbb cbbf cfbb bbb ecbbbbbbbb bbbe cfbbbbbbbbbbbbb ebbf ecbbbbbbbbbbbbbbbce bbb cfbbbbbbbbbbbbbbfe bbbe efbbbbbbbbbbbbbbfce ebbb ecfbbbbbbbbbbbbbbfe bbb cfbbbbbbbbbbbbbbfc fbbe ecbbbbbbbbbbbbbbbce ebbb cfbbbbbbbbbbbbbbfc bbb ecbbbbbbbbbbbbbbbce fbbbbbbbbbbbbbbfc bbbbbbbbfce fbbfe ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#35f6d0ff b,#c97ba2ff c,#9bfae7ff d,#daa5bfff e,#ebcfddff f,#cffcf3ff g,#66f8dbff ``` ```image aa gg g ca fc ac a gg a ca c ac g gg a ca g fac fc ag a ca a faf c ag g ca a faf c ag ca faf c ag gac ca faaf faf cag ag gac ga faaf faf cag ac gac ga faaf faf cag ac ga e ebbbde edbbbde edbbbde edbbbe ebbbde edbbbde edbbbde edbbbe ebbbde edbbbde edbbbdee eddbbbbdde eedbbb ``` <!-- end of image -->	[ "" ]
Let's examine this image for potential line intersections. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#bc1044ff b,#66e5d0ff c,#d792a3ff d,#eaf0edff e,#c64268ff f,#afd6afff g,#a6efe3ff ``` ```image b gbb gbbg gbbbd bb bb bb bb bb gbg bb bbd bb bb bg bb bg dbb bd gbg dbd bbd gb bb gb dbb dbg gb gbg bb bb bbd dbg bb bb bb bb bb bb bb gbb bb bb dddddddddbbgdddddd bb bg dffffffffffbbffffff bb bg dfffffffffffbbfffff bb bd dffffffffffffbbffff bb dbd dffffffffffffbbbfff bb gb dfffffffffffffbffff gbd gb dffffffffffffffffff bb gb dffffffffffffffffff gbd dbb dffffffffffffffffff bb dbbbg dffffffffffffffffff gbd gbbbg dffffffffffffffffff bb gbbbg dffffffffffffffffff gbd gbbbd dfffffffffffffaffff bb gbbbd dfffffffffffeaacfff gbg bbbbd dffffffffffaaafffff bb bbbb dffffffffeaacffffff dbg dbbbb dfffffffaaaffffffff bb dbbbg dfffffeaacfffffffff dbg gbbbg dfffcaaefffffffffff bb gbbbg dffaaafffffffffffff dbg gbbbd dcaaeffffffffffffff bb bbbbd aaaffffffffffffffff bb bbbb caaefffffffffffffffff bb dbbbb aaadffffffffffffffffff bb dbbbg caae dffffffffffffffffff bb dbbbg aaad dffffffffffffffffff bb gbbbg caac dffffffffffffffffff bbbbbg aaa dffffffffffffffffff bbd caac ffffffffffffffffff daaa eaac daaa eaac daaa eaac daae eaad daae eaad caae aaad caae aaad caae aaad caac aaa caac daaa eaac daaa eaac daaa eaac daae eaad dd daae caaaaaaaaad daaaacdceaae aaed c ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bc1044ff b,#67e5d1ff c,#e5a3b7ff d,#aef1e6ff e,#c73964ff f,#f3d7dfff g,#d56b8bff ``` ```image bbbbd bbbb dbbbb dbbbd bbbbd bbbb dbbbb dbbbd dbbbd bbbd bd cc fgaaf caaaag fgaaaaac caaaaagf feaaaaac caaaaagf feaaaaec caaaaag feaaaaec gaaaaag feaaaaef gaaaaag feaaaaef gaaaaag feaaaaef gaaaaac ceaaaaef gaaaaac aaaaef aaac aef c ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bc1044ff b,#65e5d0ff c,#df8da6ff d,#cbf6efff e,#ca456dff f,#f0cad6ff g,#95eddfff ``` ```image b dbb gbbg gbbbd bb bb bb bb bb dbg bb bbd bg bb bg bb bd dbb bd gbd db bb db bb gb dbb dbg gb gbg bb bb bbd bg bb bb bb bb bb bg bb dbg bb bg bbd bb bg bb bb bd bb bb bd dbb gb db gbg bb db b gb gb bb gb gbd bb bb dbbbg gbd dbbbg bb dbbbd dbd gbbbd a bb gbbbd eaac dbd bbbb faaa bb bbbb eaaf dbg dbbbg faaa bb dbbbg eaaf dbg dbbbg faae bb gbbbd eaaf bg gbbbd faae bb gbbbd aaaf bg bbbb caae bb bbbb aaa bb dbbbg caae bb dbbbg aaa bb dbbbg caac gbbbbd aaa bbd caac aaa eaac aaa eaac faaa eaaf faae eaaf faae eaaf faae aaaf caae aaa caae aaa caac aaa caac aaa eaac aaa eaac faaa eaaf faae eaaf ff faae eaaaaaaaaaf faaaacfceaae aae c ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bac61dff b,#d13bc4ff c,#dbe18bff d,#efbceaff e,#c8d14cff f,#de75d5ff g,#edf0c6ff ``` ```image d bbb fbbbbd dbbbbb bbbbbd bbbbbf fbbbbb dbbbbbd bbbbbf fbbbbb dbbbbb bbbbbd fbbbbf dbbbbbb fbbbbbbd dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf fbbbbbbd fbbbbf fbbbd fbbbd fbbbd fbbbd fbbbd fbbbd ce dbbbd gaae dbbbd aaaa dbbbd aaaaag dbbbd eaaaaaa dbbbd caaa aaa dbbbf gaaa gaac bbbf aaac aaa bf aaae eaag eaaa aaa gaaa aaa aaag caac aaae aaa eaaa aaa caaa gaae gaaa aaa aaac eaag aaae aaa eaaa aaa gaaa caac aaag aaa aaae aaa eaaa gaae caaa aaa aaag eaag aaac aaa aaae aaa eaaa caac gaaa aaa ag aaag aaa caaa aaae gaae gaaaaag eaaa aaa eaaaac ggcceeaaaaa eaag caaaaa ceaaaaaaaaaaaaaaaaaaag aaa aaaaag aaaaaaaaaaaaaaaaaaaac aaa eaaaae eaaaaaaaeeccgg gaac caaaaa aaa aaaaag eaag eaaaae aae gaaaaa aaa aaaaag caaaaaaae aaaaaa aaaac ae ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#99c58aff b,#df4882ff c,#b2d7b1ff d,#ec8db2ff e,#db0358ff f,#ebe0dcff g,#77a749ff ``` ```image eebf feeeeeeed feeedeeeeeeeed deee deeeeeeebf deeb fbeeeeeeeb beeb fbeeeeeeed beeb deeeeeeee eeed deeeb eeed ff eeef eeef eee eee feee ag caaaaaaaaaaeeeaaaaagggg accccccccdeeeccccggggggf acccccccbeeecccgggggcggf accccccbeebccaggggaccggf acccccbeebcaggggaccccggc acccceeebaggggaccccccggc accceeegggggaccccccccgga acceeeggggaccccccccccaga aceeegggaccccccccccccagg aeeeggaccccccccccccccagg eeegaccccccccccccccccagg feeeggcccccccccccccccccagg g feeeggaccccccccccccccccccgg ggg deeeaggcccccccccccccccccccgg ggg deee aggcccccccccccccccccccgg ggg beeb aggcccccccccccccccccccgg ggg beeb gggcccccccccccccccccccgg ggg eeed ggacccccccccccccccccccgg ggg eeed ggccccccccccccccccccccgg ggg eeef ggccccccccccccccccccccgg ggg eef cggccccccccccccccccccccgg ggg eee ggaccccccccccccccccccccggf fggg ee ggaccccccccccccccccccccggf fggg bee ggaaaaaaaaaaaaaaaaaaaaaggc fggg eef gg ggc fggg eee cgg aga fggg fee gga aga fggg eeb ggf agg fggg dee gg cgg cggg eed fgg cgg cgga bee cgg fgg cgga eef ggc fgg cgga eee ggf gg cgga fee gg gg agga eeb fgg ggagga dee agg gggga eed ggc gggc bee gg ggc eb eef gg f beeeed eee fgg feeeeeb fee agg deeeeeeb ggc feeee gg df gg fgg aga ggc gg gg cgg aga ggf gg gg agg aggga fgggggf fgggggf cgggga agggga gggggc fgggggf cggggg cgggga agggga cgggc gf ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9dbe7aff b,#d44372ff c,#c1d7acff d,#ee93b7ff e,#da0257ff f,#e7e6daff g,#77a648ff ``` ```image feeeeeed faggggg deeeeeef faggggggg deeeeeef faggggggggg deeeeeef faggggggggagg deeeeebf faggggggggaffgg deeeeeb faggggggggaf fgg beeeeeb faggggggggaf gg beeeeeb faggggggggaf gg beeeeeb faggggggggaf gg fbeeeeed faggggggggaf gg fbeeeeedfcggggggggaf gg feeeeeedcggggggggaf ag feeeeeeaggggggggaf ag deeeeeeggggggggac ag deeeeeegggggggac ag deeeeeegggggggc ag deeeeeeggggggc cg deeeeeegggggc cg beeeeebggggc cg beeeeebgggc cg beeeeebggc cg eeeeebgg fg eeeebgga fg eeebgggc fg eedggggc fg edcggggf g f cgggg g aggga g ggggc g fggggc g cggggf a cgggg a aggga a ggggc a fggggf a cgggg c agggg c aggga c ggggc c ggggf c gggg f gggg f ggga f gggc f gggf ggg ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#9bbe79ff b,#e44483ff c,#bfd6aaff d,#ec8db2ff e,#db0358ff f,#eae1dbff g,#76a747ff ``` ```image eebf feeeeeeed feeedeeeeeeeed deee deeeeeeebf deeb fbeeeeeeeb beeb fbeeeeeeed beeb deeeeeeee eeed deeeb eeed ff eeef eeef eee eee feee ag feee aggg deee agggggf deeb aggggfggf beeb aggggf ggf beeb aggggf ggc eeedcggggf ggc eeedggggf aga eeeggggc aga eeegggc cga eeeggc cgg eeegc cgg feeega fgg g feeeggc fgg ggg deee gg gg ggg deeb gg gg ggg beeb cgg gg ggg beeb aga gg ggg beed ggf gg ggg eeed gg gg ggg eeef gg gg ggg eef cgg gg ggg eee aga ggf fggg ee ggf ggf fggg bee gg ggc fggg eef gg ggc fggg eee cgg aga fggg fee ggc aga fggg eeb ggf cga cggg dee gg cgg cgga eed fgg cgg cgga bee cgg fgg cgga eef ggc fgg cgga eee ggf gg cgga fee gg gg agga eeb fgg ggagga dee agg ggggc eed ggc gggc bee gg ggc eb eef gg f beeeed eee fgg feeeeeb fee aga deeeeeeb ggc feeee gg df gg fgg aga ggc gg gg cgg aga ggf gg gg agg agggc fgggggf fgggggf cgggga agggga aggggc fgggggf cggggg cgggga aggggc cgggc gf ``` <!-- end of image -->	[ "" ]
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,#741f14ff b,#8cb80eff c,#ba968eff d,#b0d4acff e,#e5e1cfff f,#965f53ff g,#accc59ff ``` ```image ed gbbg bbbbbe bbbbbbb ebbbbbbbbg dbbbbg gbbbe gbbbbd bbbb bbbbbe bbbg dddddddbbbbbdddd gbb ddddddbbbbbddddd e dddddbbbbbddddaaf dddgbbbbgddddaaaa ddbbbbbgddddaaaaa dbbbbbdddddfaaaaa bbbbbddddddaaaaaa ebbbbbddddddaaaaaaae bb dbbbbgddddddaaaacaaac dbbbe gbbbbgddddddfaaafdaaaf bbbb bbbbbgdddddddaaaaddfaaa bbbg bbbbb dddddddaaaadddcaaa gbbb bbbbb ddddddaaaadddddaaa bbbb ebbbbg dddddfaaafdddddaaa ebbbe gbbbbg dddddaaaaddddddaaa bbbb gbbbbe ddddaaaadddddddaaae bbbg bbbbb dddaaaaddddddddaaac gbbb bbbbb ddfaaafddddddddaaaf bbbb ebbbbb ddaaaadddddddddfaaa ebbbd dbbbbg daaaaddddddddddfaaa bbbb gbbbbd aaaadddddddddddcaaa bbbb bbbbbe faaafddddddddddddaaa gbbbe bbbbb eaaaadddddddddddddaaa bbbb bbbbb aaaaddddddddddddddaaae ebbbg ebbbbg aaaadddddddddddddddaaac bbbb gbbbbg faaafdddddddddddddddaaaf bbbb gbbbbe eaaaaddddddddddddddddfaaf dbbbe bbbbb aaaa caaa bbbb bbbbb aaaa eaaa bbbg ebbbbb faaac aaa gbbb dbbbbg daaaa aaa aa bbbb gbbbbd eaaaa aaa eaaa ebbbe bbbbbe aaaa aaad aaaa bbbb bbbbb aaaae aaac daaa bbbg bbbbb aaaac faaf aaaf gbbb ebbbbg faaaf caaa caaa bbbb gbbbbg caaaa eaaa aaac ebbbd gbbbbe eaaaa aaa faaa bbbb bbbbb aaaa aaa aaad bbbbbbbb aaaae aaa aaaa gbbbbbb aaaac aaae aaae bbbbg faaaf aaac aaaa ebbd caaaa faaf eaaa eaaaa caaa aaaf aaaa daaa caaa aaaae aaa aaaf aaaac aaa faaa faaaf aaa aaac caaaa aaae faaa eaaaa aaae aaaa aaaa aaaae eaaa aaaad aaaa faaaf daaa caaaa aaaf eaaaa caaa aaaa aaac aaaa faaa aaaae aaad aaaac aaaa faaaf aaae daaaa aaaa eaaaa eaaa aaaa aaaf aaaae caaa aaaac aaaf faaaf faaa caaaa aaaceaaaa faaaaaaa aaaaaae aaaaac eaaaf aaa ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#741f14ff b,#8cb80eff c,#b0807aff d,#d0c2a9ff e,#eae6d9ff f,#914d45ff g,#accc52ff ``` ```image ebbbbbbbbbge dbbbbbbbbbg gbbbbbbbbbd gbbbbbbbbbd egbbbbbbbbbe efaa ebbbbbbbbbge efaaa dbbbbbbbbbg faaaa dbbbbbbbbbg caaaaa gbbbbbbbbbd daaaaaa egbbbbbbbbbe eaaaaaaa ebbbbbbbbbbe faaaaaaa ebbbbbbbbbg caaaaaaaa dbbbbbbbbbg daaaaaaaaa bbbbbbbbbd eaaaaaaaaaa bbbbbbbbd faaaaaaaaaa bbbbbbbe caaaaaaaaaaa bbbbbge daaaaaaafdaaa bbbbg eaaaaaaaaeeaaa bbbg faaaaaaad aaa bbd caaaaaaac aaa be daaaaaaaf faa e eaaaaaaaae caa faaaaaaad caa caaaaaaac daa daaaaaaaf daa eaaaaaaaae eaa faaaaaaad aa caaaaaaac aa daaaaaaaf fa eaaaaaaaae ca faaaaaaad ca caaaaaaac da daaaaaaaf da eaaaaaaaae ea faaaaaaad a caaaaaaac a daaaaaaaf f eaaaaaaaae f faaaaaaad c caaaaaaac c daaaaaaaf d aaaaaaaae e aaaaaaad e aaaaaac aaaaaf aaaaae aaaad aaac aaf aae ad c ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#741f14ff b,#8cb80eff c,#b88d88ff d,#cdd09eff e,#e7e3d4ff f,#995b53ff g,#a8c949ff ``` ```image ed gbbg bbbbbe bbbbbbb ebbbbbbbbg dbbbbg gbbbe gbbbbd bbbb bbbbbe ebbbg bbbbb gbb bbbbb e ebbbbg aac dbbbbd aaaa gbbbbe aaaaa bbbbb caaaaa bbbbb eaaaaaa ebbbbb aaaaaaae bb dbbbbg aaaaeaaac dbbbe gbbbbd caaaf aaaf bbbb bbbbbe eaaaa faaa bbbg bbbbb aaaa caaa gbbb bbbbb aaaae eaaa bbbb ebbbbg caaaf aaa dbbbd dbbbbd eaaaa aaa bbbb gbbbbe aaaa aaae bbbg bbbbb aaaae aaac gbbb bbbbb caaac aaaf bbbb ebbbbb eaaaa faaa ebbbd dbbbbg aaaa caaa bbbb gbbbbd aaaae eaaa bbbg bbbbbe faaac aaa dbbbe bbbbb eaaaa aaa bbbb bbbbb aaaa aaae ebbbd ebbbbg aaaae aaad gbbb dbbbbd faaac aaac bbbb gbbbbe eaaaa faaf dbbbe bbbbb aaaa caaa bbbb bbbbb aaaa eaaa bbbg ebbbbb faaac aaa gbbb dbbbbg daaaa aaa aa bbbb gbbbbd eaaaa aaa eaaa dbbbd bbbbbe aaaa aaad aaaa bbbb bbbbb aaaae aaac daaa bbbg bbbbb aaaac faaf aaaf gbbb ebbbbg faaaf caaa caaa bbbb dbbbbd daaaa daaa aaac ebbbd gbbbbe eaaaa aaa faaa bbbb bbbbb aaaa aaa aaad bbbbbbbb aaaae aaa aaaa dbbbbbb aaaac aaad aaae bbbbg faaaf aaac aaaa ebbd caaaa faaf eaaa eaaaa caaa aaaf aaaa daaa caaa aaaae aaa aaaf aaaad aaa faaa faaaf aaa aaac caaaa aaae faaa eaaaa aaae aaaa aaaa aaaae eaaa aaaad aaaa faaaf daaa caaaa aaaf daaaa caaa aaaa aaac aaaa faaa aaaae aaad aaaac aaaa faaaf aaae daaaa aaaa eaaaa eaaa aaaa aaaf aaaae caaa aaaac aaaf faaaf faaa daaaa aaaceaaaa faaaaaaa aaaaaae aaaaac eaaaf aaa ``` <!-- end of image -->	[ "" ]
Alright, let's get to work and investigate this image for intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#ca7094ff b,#894cf3ff c,#bb386eff d,#e1aac1ff e,#b796f5ff f,#edd7eaff g,#aed5afff ``` ```image ccd ccca ccccc cccccc fcccaccc fcccd acc dcccd acc dcccf dcc acccf dcc accc fcc cccc ccf cccc ccf cccc ccd cccc ccd ccca cca fccca cca fcccd ccc dcccd ccc dcccf ccc acccf acc faccc acc facccccc dcc dcccccccccc dcc faccccccccccaf fcc faccccccccccd fcc dccccccccccad ccf faccccccccccaf ccd daccccccccccd ccd dccccccccccaf cca faccccccccccaf cca dcccccccccd ccc cccccaf ccc ccd ccc acc acc ccc acc fccd dcc acc dcc ccc fcc fccf fcc acc ccf ccc ccd fccf ccd ccc cca ccc cca fccf ccc ccc ccc cca ccc dccf ccc ccc acc cca acc dccf dcc ccc dcc cca fcc dccf ccf gggggcccgggg ccf gggggccagggg ccd ggggaccggggg ccd ggggcccggggg cca ggggccaggggg cca gggaccgggggg ccc gggcccgggggg ccc gggccagggggg ccc ggaccggggggg acc ggcccggggggg gggggggggggg gggggggggggg gggbgggggggg ggbbbbgggggg ggebbbbbgggg ggggebbbbbgg ebbbbb ebbbbe bbbbbe feebb bbbbbe feebbbbbbbbbbbb bbbbbe feebbbbbbbbbbbbbbbbbbbbb fbbbbbf feebbbbbbbbbbbbbbbbbbbbbbeef fbbbbbf feebbbbbbbbbbbbbbbbbbbbbbeef ebbbbb feebbbbbbbbbbbbbbbbbbbbbbeef ebbbbbbbbbbbbbbbbbbbbbbbbbeef ebbbbbbbbbbbbbeef ebbeef ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c45383ff b,#884cf4ff c,#bb376eff d,#d990aeff e,#d7c3faff f,#eed1ddff g,#ab7ff6ff ``` ```image dccccc accccd cccccf dccccc accccd fcccccf dccccc accccd fcccccf dccccc accccd fcccccf dcccca accccd fcccccf dcccca accccd fcccccf dcccca accccd fcccccf fdaca ff ee gbge ebbbbge bbbbbbbge ebbbbbbbbbg ebbbbbbbbbbg ebbbbbbbbbbg ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ce7097ff b,#884bf4ff c,#bb386eff d,#e1a8c0ff e,#c7aaf9ff f,#ecd5eaff g,#a97df6ff ``` ```image ccd ccca ccccc cccccc fcccaccc fcccd acc dcccf acc dcccf dcc accc dcc accc fcc cccc ccf cccc ccf cccc ccd cccc ccd ccca cca fccca cca fcccd ccc dcccd ccc dcccf ccc acccf acc accc acc facccccc dcc dcccccccccc dcc faccccccccccaf fcc faccccccccccd fcc dccccccccccad ccf faccccccccccaf ccd daccccccccccd ccd dccccccccccaf cca faccccccccccaf cca dcccccccccd ccc cccccaf ccc ccd ccc acc acc ccc acc fccd dcc acc dcc ccc fcc fccf fcc acc ccf ccc ccd fccf ccd ccc cca ccc cca fccf ccc ccc ccc cca ccc dccf ccc ccc acc cca acc dcc dcc ccc dcc cca fcc dcc ccf ccc ccf cca ccd dcc ccd ccc cca cca cca dcc ccc ccc ccc ccd ccc acc acc ccc f bf bbbbf ebbbbb ebbbbb gbbbbb gbbbbg bbbbbg fegbb bbbbbe feggbbbbbbbbbbb bbbbbe fegbbbbbbbbbbbbbbbbbbbbb fbbbbbf feggbbbbbbbbbbbbbbbbbbbbbgef fbbbbbf fegbbbbbbbbbbbbbbbbbbbbbggef ebbbbb feggbbbbbbbbbbbbbbbbbbbbbgef ebbbbbbbbbbbbbbbbbbbbbbbbggef gbbbbbbbbbbbbbgef gbggef ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#26a442ff b,#61dc5aff c,#b9e8bbff d,#def5dfff e,#9ae09dff f,#57b86cff g,#7dd880ff ``` ```image geecdd bbbbbbbbbbbbbbggecdd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeccd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeccdd dcceggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeecdd ddceegbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd dccegbbbbbbbbbbbbbbbbbbbbbbb dccegbbbbbbbbb bbbc bbbb dbbb bbbe gbbb bbb bbbg ebbb bbbd bbbb cbbb bbbc bbbb dbbb bbbe gbbb dbbb bbbg ebbb bbbd bbbg ebbb bbbc bbbb cbbb bbbc bbbb dbbb bbbe gbbb bbbd bbbg ebbb bbbd bbbb cbbb bbbc bbbb dbbb cc bbbe gaaaaae gbbb aaaaaaaaaagd dbbb aaaaaaaaaaaaaafc bbbg aaa eaaaaaaaaaaaaafc ebbb caaa cfaaaaaaaaaaaaae bbbd faaa dfaaaaaaaaaaaaagd bbbg aaaf dgaaaaaaaaaaaad cc aaac eaaaaaaaaaa aaa cfaaaaaaa caaa eaaaaaaf faaa eaaaaaaf aaaf gaaaaaaf aaac gaaaaaag aaa faaaaaag caaa faaaaaae faaa faaaaaae aaaf aaaaaaac aaac aaaaaaac aaa daaaaaaad caaa daaaaaaad faaa daaaaaaad aaaf caaaaaaa aaac caaaaaaa aaa eaaaaaaf d eaaaaaaf gaaaaaaf gaaaaaag faaaaaag faaaaaae faaaaaae aaaaaaac aaaaaaac daaaaae daaa de ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c8f92bff b,#f98ecbff c,#d2fa54ff d,#ecfcb8ff e,#dffb86ff f,#faefe9ff g,#fbbce0ff ``` ```image d daa caaa eaaa daaaf d faaad eaa aaae aac aaac aaf aaaa eaa caaa aac eaaa aad daaaf eaa faaad aaa aaae aad aaac eaa aaaa aaa caaa aad eaaa eaa daaaf aaa faaad aad aaae daa aaac aaa aaaa aad caaa daa eaaa aaa daaaf aad faaad daa aaae aaa aaac aad aaaa daa caaa aaa eaaa aad daaaf daa faaad aaa aaae aae aaac daa aaaa aaa caaa aae eaaa daa daaaf caa faaad aae aaae faa aaac caa aaaa aae caaa faa eaaa caa daaaf aae faaad faa aaae caa aaac aae aaaa faa caaa caa eaaa aae daaaffaa faaacaa aaaac aaaf cc bf bbb bbb fbbb gbbb gbbg bbbg bbbf fgbb bbb gbbbbbbbg bbb fgbbbbbbbbbbbb fbbb gbbbbbbbbbbgf bbb fbbb fbbbbbbbbbbbf fbbf gbbg fgbbbbbbbbbbg bbb bbbg gbbbbbbbbbbgf bbb bbbf fgbbbbbbbbbbg gbbf bbb fgbbbbbbbbbbgf bbb bbb gbbbbbbbbbbgf bbg bbb fgbbbbbbbbbbg bbb fbbb gbbbbbbbbbbgf bbb gbbbbbbbbbbbbg fbb bbbbbbbgf f ggf ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#e4cbcaff d,#b0d5afff e,#f2eceaff f,#c99aa0ff g,#96ca96ff ``` ```image ac caaa eaaaaaa aaaaaac caaaaaa eaaaaaae aaaaaac caaaaaa eaaaaaae aaaaaac caaaaaa eaaaaaa aaaaaae caaaaac caaaaaa eaaaaaae aaaaaac caaaaaa ee eaaaaaae aaae aaaaaac eaaaa caaaaaa aaaaa eaaaaaae aa caaaaae aaaaaac abbb aaaaaaa caaaaaa cbbbbbf aaaaeaaa aaaaaae cbbbbbbf eaaac aaae caaaac ebbbbbbb aaaa aaaa aaaa bbbbbbbe caaae eaaa caaa cbbbbbe aaaa aaae aaac bbbbc aaaa aaaa caaa abbbe eaaae eaaa aaac bbbb aaaa aaac caaa bbbb aaaa aaaa aaac ebbba eaaac eaaa caaa bbbb aaa aaac aaac abbbe ee aaaa caaa bbbb eaaa aaac fbbb aaac caaa ebbbf caaa aaac bbbb aaa caaa cbbbc b aaac aaac bbbb fbb caaa caaa fbbbe abbbbe aaae aaac bbbf fbbbbc aaac caaa bbbb abbbba caaa aaac cbbbc cbbbbf aaae caaa bbbb ebbbbb aaaa aaac abbbe bbbbb caaa caaa bbbb bbbbbe aaae aaac bbbb fbbbbc aaaa caaa ebbba abbbba caaa aaac bbbb cbbbbbggggaaadgggaaaa abbbe ebbbbbdddaaaadddaaaa bbbb bbbbbdddaaaddaaaag fbbb ebbbbbddaaaddaaaag ebbbf edbbbbbdaaaaaaaadg bbbb eddfbbbbfaaaaaaadg cbbbc edddfbbbbaaaaaaddg bbbb edddddbbbaaaaaaddg fbbbe eddddddbbfaaaadddg bbbf edddddddbbaaaadddg bbbb eddddddddbfaabdddg cbbba edddddddddfbbbbfdg bbbb eddddddddddfbbbbfg bbbc eddddddddddddbbbbb cbbb edddddddddddddbbbbb bbbb egdddddddddddddbbbbb bbbe eeeeeeeeeeeeeeebbbbbe abbb fbbbbc bbbf abbbba bbbe cbbbbf abbb ebbbbb bbbf bbbbb bbbe bbbbbe abbb fbbbbc bbbf abbbba ebbbe cbbbbf fbbb ebbbbbbbbf bbbbbbb bbbbbb bbbba fbb ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#ecdadcff d,#e1c6c5ff e,#f4eaeaff f,#ca939cff g,#d1a4a9ff ``` ```image bbbg eaaaaaaa eaaaa bbbbfe daaaaaae daaaa bbbbbfe caaaaaad eaaaaa bbbbbbbc aaaaaaa daaaaa bbbbbbbbd daaaaaac eaaaaaa bbbbbbbbba caaaaaad daaaaaa abbbbbbbbbg aaaaaaa eaaaaaaa dbbbbbbbbbfe daaaaaac daaaaaad cbbbbbbbbbfe caaaaaad eaaaaaaae efbbbbbbbbbc aaaaaaa daaaaaad efbbbbbbbbbddaaaaaadaaaaaaae gbbbbbbbbbaaaaaaaaaaaaaad abbbbbbbbbaaaaaaaaaaaaae dbbbbbbbbgaaaaaaaaaaad cbbbbbbbfaaaaaaaaaaae cfbbbbbbaaaaaaaaaad efbbbbbgaaaaaaaaae gbbbbfaaaaaaaad abbbbaaaaaaaae dbbbgaaaaaad cbbfaaaaaage cbbgaaaagbbc efbfggfbbbbc egbbbbbbbbbd gbbbbbbbbba abbbbbbbbbg dbbbbbbbbb cbbbbbbbb efbbbbbb efbbbbb gbbbb abbb ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#ead7d8ff d,#e1c5c4ff e,#f2e6e6ff f,#cd99a2ff g,#f9f4f5ff ``` ```image ad daaa eaaaaaa aaaaaac daaaaaa eaaaaaag gaaaaaac daaaaaa eaaaaaag gaaaaaac daaaaad caaaaaag gaaaaaac daaaaad caaaaaag gaaaaaac daaaaad caaaaaag ce gaaaaaae aaag aaaaaad eaaaa caaaaaag aaaaa gaaaaaae aa daaaaae aaaaaad dbbb aaaaaaa caaaaaa dbbbbbf aaaacaaa aaaaaae cbbbbbbf eaaac aaae daaaad ebbbbbbbg aaaa aaaa aaaa bbbbbbbe daaag eaaa daaa cbbbbbe gaaad aaac aaad bbbbc aaaa aaaa daaa fbbbe caaac eaaa aaad bbbb aaaa aaac daaa bbbb daaag aaaa aaad ebbba gaaad eaaa daaa bbbb aaa aaac aaad abbbc ge daaa daaa bbbb gaaa aaad fbbbg aaad daaa ebbbf daaa aaad bbbb gaaag daaa dbbbc b aaad aaad bbbb fbbg daaa daaa fbbbg abbbbe gaaag aaad gbbbf fbbbbd aaad daaa bbbb abbbba caaa aaad cbbbd cbbbbf aaag daaa bbbb gbbbbb aaaa aaad abbbe bbbbbg caaa daaa bbbb bbbbbe aaae aaad bbbb fbbbbc aaaa daaa ebbba abbbba caaa aaad bbbb dbbbbf aaae daaa abbbc ebbbbb aaaa aaad bbbb gbbbbb caaa daaa fbbbg bbbbbg aaae aaad gbbbf bbbbbcaaaadaaa bbbb fbbbbaaaaaaad dbbbd dbbbbaaaaaa bbbb ebbbaaaaad fbbbg gbbfaaaa gbbbf bbaaad bbbb bfaabe cbbbd fbbbbd bbbb dbbbbf bbbc cbbbbb dbbb gbbbbb bbbb bbbbbg bbbc bbbbbe abbb fbbbbd bbbf abbbba bbbe cbbbbf abbb ebbbbb bbbf bbbbb gbbbe bbbbbe abbb fbbbbc bbbf abbbba gbbbg dbbbbf fbbb ebbbbbbbbf gbbbbbbbg bbbbbb bbbba fbb ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#9b65a4ff b,#8ee2eeff c,#bba2c0ff d,#e8eff2ff e,#b1d7b1ff f,#96c896ff g,#b8ecf5ff ``` ```image a d aad aa aa daa aa aa aa aad aa aac aa cac aa daa aa daa daa aad daa aad daa cac daa caa dac daa cac aad cac aad cac cac cac caa cad daaddddddddddddddddddddddd aad aaeeeeeeeeeeeeeeeeeeeeeef aad faaeeeeeeeeeeeeeeeeeeeeef aad feaaceeeeeeeeeeeeeeeeeeef aad feecaaeeeeeeeeeeeeeeeeeef aa feeeeaaeeeeeeeeeeeeeeeeef aa feeeeeaaeeeeeeeeeeeeeeeef aa feeeeeeaaeeeeeeeeeeeeeeef aa feeeeeeeaaceeeeeeeeeeeeef aa feeeeeeeeaaaeeeeeeeeeeeef aa bbeeeeeeeecaaeeeeeeeeeeef daa gbbbeeeeeeeeeaaeeeeeeeeeef daa bbebbeeeeeeeeeaaeeeeeeeeefdaa dbfeebbbeeeeeeeeaaceeeeeeefaa bbfeeeebbeeeeeeeeaaaeeeeeefa b feeeeebbeeeeeeeecaaeeeeeaa bb feeeeeebbbeeeeeeeeaaeeeeac bd feeeeeeebbbeeeeeeeeaaeeca gb feeeeeeeeebbeeeeeeeeaaeaa bg feeeeeeeeeebbeeeeeeeeaaaf db efffffffffffbbbfffffffaae bb dbb bd bbd gb bbg bg dbb db bbd bb bbg b gbb bb bb bd bbg gb gbb bg dbb db bbd bb gbg bd dbb gb bbd bg bbg gb gbb bb bb b bbg bb gbb bd dbb gb bbd bg gbg db dbb bb bbd bd bbg gb gbb bg bb gb bbg bb gbb db dbb bb bbd bd gbg gb dbb bg b db bb b bb bg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a61a3ff b,#8fe2f0ff c,#ddc9dfff d,#ebeff6ff e,#ac7db4ff f,#c29fc7ff g,#bbedf5ff ``` ```image aaaf faaaf faaaed caaaad caaaac deaaaf eaaaf faaaed caaaed caaaac deaaac deaaaf faaaed caaaed caaaac deaaac deaaaf faaae dbg faaaed bbbbd caaaac bbbbbd daaaac bbbbbbg deaaaf bbdgbbbg faaaf bg gbbbbd faaaed bd dbbbbg caaaed g dbbbbg caaaac d gbbbbd deaaaf gbbbbg eaaaf dbbbbg faaaed gbbbbd caaaed gbbbbd caaaac c dbbbbg deaaac f gbbbg deaaaf a gbbbbd faaaed ca dbbbbg caaaed fa dbbbbg caaaac aa gbbbbd deaaafaa gbbbbg deaaaaa dbbbbg faaaa ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9b62a4ff b,#8de2f0ff c,#d3bad7ff d,#d7f4f9ff e,#b489bbff f,#ebe0edff g,#afeaf4ff ``` ```image a f aaf ae aa faa aa aa aa aaf aa eac aa eae aa faa aa aa faa aaf faa aac faa eae fae caa cae faa cae aa cae aaf eac eae eac cae eac faa eaf aa aaf aaf aaf eac aaf cae aa faa aa aa aa aaf aa aac aa eae aa bg caa aa gbbb faa faa bg bbd aaf faa db gbg aac ae bb dbb eae fa b bb caa aa bb bbg faa ac bd gbb aa fa gb bb aafaa bg bbd eaac db gbg ca bb dbb bd bbd gb gbg bg dbb db bb bb bbg b dbb bb bb bd bbd gb gbg bg dbb db bbd bb gbg bd dbb gb bb bd bbg db dbb bb bb b bbd bb gbb bd dbb gb bbd bg gbg db dbb bb bbd b bbg gb dbb bd bb db bbd bg gbb b dbb bb bbd bd gbg gb dbb bg b db bb b gb bd ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9e8f61ff b,#0fd593ff c,#a8efd7ff d,#ccc5adff e,#e4e9deff f,#5fe3b7ff g,#b1a580ff ``` ```image cbb cbbbbbc cbbbbbbfbb cbbbbbbc bb cbbbbbbc bb cbbbbbbc bbf cbbbbbbc cbb cbbbbbbf bb cbbbbbbf bbc cbbbbbbf fbb cbbbbbbf bb cbbbbbbf bb ebbbbbbf bbf ebbbbbbf cbb ebbbbbbf bb ebbbbbbf bbc efbbbbbf fbb fbf efbbbbbf bb fbbbb cbbbf bb cbbbb f bbf cbbbbe gad cbb ebbbbc aaa bb bbbbc daaag bbc bbbbf aadaae fbb fbbbf eaa daa bb ebbbb aad aag bb bbbbc aa eaa bbbbbbf gag gaa cbbbb aa aad bbe daa daa aae aag eaa aae aad gaa aa aad gag eaa aa gaa daa aad aae daa eaa aag aad aae aa gaa gag aad aa eaa daa aaa aae aae eaa daa aad aag aa aae aag gaa aa aad daa eaa aae aaa daa aae aad daa eaa aag aag aae aa gaa gaa aad aae eaa daa aaa gaad aaa aaad aaae daaa aaae aaag gaae eaaae gaad gaaa gaad aaad daad daaae daag aaag daag eaaad eaag gaaa ead aaag daaae gaaa eaaad daaa aaag eaaae gaaa gaad a ``` <!-- 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,#59133dff b,#f08eb8ff c,#865572ff d,#e2b8ccff e,#b1d6b0ff f,#f3e6ebff g,#9ab997ff ``` ```image d gac daaa daaa daaa daaa faaa faaa faaa faaa faaa aaaf aaaf aaaf aaaf aaaf aaad caad daac faaa aaa aaaf caag daac aaa aaa aaaf gaac faaa aaa aaa caad daac ffffffffffffff faaa eeeeeeeeeeeeeeg aaa eeeeeeeeeeeeeeg aaaf eeeeeeeeeeeeeeg caad eeeeeeeeeeeeeeg daac eeeeeeeeeeeeeeg aaa eeeeeeeeeeeeeeg aaa eeeageeeeeeeeeg aaaf eecaaageeeeeeeg gaag eeeaaaaageeeeeg faaa eeeeeaaaaageeeg aaa eeeeeeeaaaaageg aaa eeeeeeeeeaaaaag caad eeeeeeeeeeeaaaaad gaac eeeeeeeeeeeeeaaaaad faaa eeeeeeeeeeeeeegaaaaad aaa eeedeeeeeeeeeeg faaaaad aaaf eebbbeeeeeeeeeg faaaaad caad eeebbdeeeeeeeeg faaaaad daac gggbbbgggggggge faaaaad aaa bbd faaaaad aaa dbb faaaaad aaaf bbb faaaaad caag fbbf faaaaaaac bbb faaaaa bbd faa dbb bbb fbbf bbb bbf bbb bbd dbb bbb fbbbdf bbbbbbbbbdf dbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf ffdbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbd fdbbbbbbbb fdbb ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#58133cff b,#f08eb8ff c,#804b6aff d,#d3c1ccff e,#f3aacaff f,#f3e7edff g,#a57f96ff ``` ```image dd cacd daaaacd caaaaaacd faaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaa fgaaaaaaa fgaaaaa fgaaa fga f fbf febbe fbbbbbf ebbbbe bbbbbf ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#59133dff b,#f08eb8ff c,#824e6eff d,#d0bcc8ff e,#f5bad3ff f,#f3e5ebff g,#af8ea2ff ``` ```image d gac daaa daaa daaa daaa faaa faaa faaa faaa faaa aaaf aaaf aaaf aaaf aaaf aaad caad daac faaa aaa aaaf caag daac aaa aaa caaf gaag faaa aaa aaa caad daac faaa aaa aaaf caag daac aaa aaa ad aaaf caaad gaag faaaaad faaa faaaaad aaa faaaaad aaa faaaaad caad faaaaad gaac faaaaad faaa faaaaad aaa ff faaaaad aaaf bbb faaaaad caad bbe faaaaad daac bbb faaaaad aaa bbe faaaaad aaa ebb faaaaad aaaf bbb faaaaad gaag fbbf faaaaaaac bbb faaaaa bbe faa ebb bbb fbbf bbb bbe bbb bbe ebb bbb fbbbef bbbbbbbbbef ebbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef feebbbbbbbbbbbbee eebbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbe febbbbbbbb febb ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#880caaff b,#e1a55bff c,#cf9eddff d,#f1d7b7ff e,#ad58c4ff f,#f3e4e7ff g,#e9be8aff ``` ```image dgf fdbbbbbbg fgbbbbbbbdf bb dgbbbbbbgd bb fdbbbbbbbgf gb fgbbbbbbbdf gb gbbbbbbgd db bbgf fb b bf bd bg bg bb bb gb db db fb bf bd bd bg bb bb gb gb fbd c db bb ae fb bb aa b bb faf bf bb ae bd bb ea bg bbf af bg bbf aa bb gbf ea bb gbd ac gb gbd aa db dbg ca db dbg ae fb fbb aa bf fbb fa bd bb ae bd fbbb ea bg dbbbd faf bb gbbbf aa bb fbbbg ea gb dbbbd ac gb bbbb aa db dbbbg ca fb gbbbd ac b fbbbg aa bf dbbbd ca bdgbbbf ae bbbg aa gd faf aa ea ac aa ca ac aa caaef eaaaaaec caaaaaac caaaaaac ceaaaaaef feaaaaaef feaaaaaef caaaaaec caaaaaac ceaaaaac feaaaaaef feaaaaaef caaaaaec caaaaaac ceaaaaac feaaaaaef feaaac ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#070a31ff b,#494b58ff c,#bebec5ff d,#707282ff e,#e2e3e6ff f,#9798a4ff g,#222548ff ``` ```image ae aaad caaaaa aaaaaf baaaaa eaaaaaf baaaag caaaaac gaaaab caaaaae aaaaab faaaaa aaaaad daaaaa eaaaaaf baaaag eaaaaac gaaaag caaaaae gaaaab faaaaae aaaaad daaaaa eaaaaaf baaaaa eaaaaac gaaaag caaaaac gaaaab faaaaae aaaaad daaaaa fdddddddddddd aaaaad gaaaaaaaaaaaaa daaaaa aaaaaaaaaaaaaa eaaaaaf aaabbbbbbbbbbb baaaag aaa caaaaac aaa gaaaag aaa caaaaae aaa aaaaab eaaa faaaaae caaa aaaaad faag daaaaa daab eaaaaaf baad bbbc baaaag gaaf dbbbbbe eaaaaaaaac cbbbbbbbbe gaaaaaae ebbbbdbbbbbb caaaaa bbbb dbbbbbd gaaa bbbb bbbbbbf fad bbbbe ebbbbbbf dbbbf cbbbbbbc fbbbd fbbbbbbe ebbbb fbbbbbb bbbb dbbbbbb bbbb bbbbbbd bbbbe ebbbbbbf dbbbc ebbbbbbc fbbbd cbbbbbbe cbbbb fbbbbbbe ebbbb dbbbbbb bbbb dbbbbbd bbbe bbbbbbd bc ebbbbbbf cbbbbbbc cbbbbbbe fbbbbbbe dbbbbbb bbbbbbd ebbbbbbf ebbbbbbc cbbbbbbc fbbbbbbe dbbbbbb dbbbbbd bbbbbbd ebbbbbbf cbbbbbbc cbbbbbbe fbbbbbbe dbbbbc bbb e ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#b47ef9ff b,#fbe0f5ff c,#cfadfbff d,#e1d8e8ff e,#b2d7b2ff f,#96ca96ff g,#b2add2ff ``` ```image b bbbb bbbb bbbbbb bbbbbbb bbbbbbbb bb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbbb bbbbb bbbbb bbbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb effffffffffffffffffffffffffffffffffffffe bbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbeef bbbbeeeeeeeeeeeeeeeeeeeeeeeedbbbbbbbbeef ebbbbeeeeeeeeeeeeeeeeeedbbbbbbbbbbbbbdef fdbbbbeeeeeeeeeeeedbbbbbbbbbbbbbbbbdeeef fedbbbbeeeeeedbbbbbbbbbbbbbbbbdeeeeeeeef feebbbbddbbbbbbbbbbbbbbbbdeeeeeeeeeeeeef feeebbbbbbbbbbbbbbbbdeeeeeeeeeeeeeeeeeef bb feeeebbbbbbbbbbdeeeeeeeeeeeeeeeeeeeeeeef aaac feeeeebbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaaaac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef daaaaaaaaad feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef baaaaaaaaaab feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef daaaaaaaaac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeef caaaaaaaaac feeeeeeeeeeeeeeeeeeeeeeggaaaaageeeaaagef caaaaaaaaad feeeeeeeeeeeeeeeegaaaaaaaaaaaaaeeeaaagef baaaaaaaaaab feeeeeeeeeggaaaaaaaaaaaaaaaaaaaeeaaaaeef daaaaaaaaac feeegaaaaaaaaaaaaaaaaaaaaaaaaaaeeaaageef caaaaaaaaac dcaaaaaaaaaaaaaaaaaaaaaggeeeeegaaaeaaaaeeef caaaaaaaaad bccaaaaaaaaaaaaaaaaaaaaageeeeeeeeeeeeeaaaeaaaaeeef baaaaaaaaaaaaaaaaaaaaaaaaaaaacdb aaacaaab daaaaaaaaaaaaaaaaaaccb aaaaaaa caaaaaaaaacd aaaaaab ccb aaaaaa aaaaad aaaaa caaac caaa aac ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#b47efaff b,#fbe0f5ff c,#d2b3fbff d,#eadbfdff e,#dfc8fcff f,#fbeffaff g,#c399faff ``` ```image f bf bbf bbb bbbb bbbbb bbbbbf ffbf bbbbbbf fffbbbbbbb bbbbbbbf fffbbbbbbbbbbbb bbbbbbbb fffbbbbbbbbbbbbbbbbb bbbbbbbbb fffbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbb fffbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbf fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbf fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbbf ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbb ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbb ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbff fbbbbbbbbbff fbfff dge fdecggagd gaaaef fdecgaaaaaaaaaad daaaaaacf fdecggaaaaaaaaaaaaaaaag caaaaaaa fdecgaaaaaaaaaaaaaaaaaaaaaaaa faaaaaaac fdecggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf caaaaaaaf fdecgaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad faaaaaaac fdecggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad eaaaaaaaf fdecgaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcgaaaaaae gaaaaaag decggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaggcedf eaaaaaac eaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcedf eaaaaaac gaaaaaag aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaggcedf daaaaaag daaaaaaae ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b47ef9ff b,#fce0f5ff c,#d4b6fbff d,#e5d3fcff e,#fdf7fcff f,#f9eaf9ff g,#c49bfaff ``` ```image fe bbbf bbbbe fbbbbbe bbbbbbb ebbbbbbbb ebb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb bbbbb bbbbf bbbbf efbbb bbbbe efbbbbbbbbe ebbbb efbbbbbbbbbbbbbf fbbbb efbbbbbbbbbbbbbbbbfe bbbbb efbbbbbbbbbbbbbbbbfe bbbbffbbbbbbbbbbbbbbbbfe bbbbbbbbbbbbbbbbfe df bbbbbbbbbbfe aaage ebbbbfe aaaaaac daaaaaaaaad faaaaaaaaaaf daaaaaaaaage dd caaaaaaaaac dcaaaaad aaac egaaaaaaaaad fcgaaaaaaaaaaaa faaac faaaaaaaaagf edcaaaaaaaaaaaaaaaaaaa aaaa daaaaaaaaage fcgaaaaaaaaaaaaaaaaaaaaggaaa aaag caaaaaaaaac edcaaaaaaaaaaaaaaaaaaaaacde daaa gaaa egaaaaaaaaad fcgaaaaaaaaaaaaaaaaaaaagcf faaa aaaa daaaaaaaaaaaaaaaaaaaaaaaaaaaacde aaacaaae daaaaaaaaaaaaaaaaaagcf aaaaaaa caaaaaaaaacde aaaaaaf eccf aaaaaa aaaaad aaaaa gaaac caaa eaac ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4ce050ff b,#23da29ff c,#c8f1c1ff d,#8cd665ff e,#e3f7dfff f,#7be87eff g,#a9e79aff ``` ```image ge ddddge cddddge cddddge cddddge cddddge cddddge cddddge cddddge cddddc egdddg cdddge eddddc gdddg cdddge eddddc gdddg cdddde eddddc gdddg cdddde eddddc ge gdddg cfbbbbbb cd gabbbbbfc ba cfbbbbbage be gabbbbbfc ab cfbbbbbage bf gabbbbbfc eb ebbbbbage ab aac bg bc gb b ba fb be bf fb b bf eb eb ab ab bg bg b cb gb bb ba bc be fb b ba fb ebe bf ab b bf cb cb aa ab bc bc e gb ba be fb bf eb ab bg cb bb bc fb ba ebe ab bf cb bb bc gb ba be fb bf eb ab bg cb ba bc e ``` <!-- end of image -->	[ "" ]
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,#e3040dff b,#26fb5fff c,#ed8789ff d,#acd8aeff e,#e6393fff f,#f9cbcdff g,#6df791ff ``` ```image fa faaa caaaac eaaf aa eaa caa aaa aac aaa aa aae eae faae aaf faac faa caaf eae eaaf aa aaa faa e aaa aac cae aaa aa aa aae caa cae faae aaf aa caac aa cae caaf eae aa eaaf aaf cae aaa faa aa aaa aac cae aaa aa aa faae caa cae faac aac aa caac aa cae eaaf eae aa eaa aafcae aaa faaaa aaa eaae aaa aa faae f faac caaf eaaf eaa aaa aaa ddddddddddddaaad dddddddddddaaedd dddddddddcaacddd ddddddddeaacdddd dddddddeaadddddd ddddddaaaddddddd dddddaaabddddddd ddddaaabbbdddddd dddaaebbbbdddddd dddaebbbgbbddddd ddddgbbddbbddddd ddddbbddddbbdddd dddbbdddddbbgddd ddgbbddddddbbddd dddddddddddbbgdd ddddddddddddbbdd ddddddddddddbbgd g dddddddddddddbbd bbbb dddddddddddddgbb bbbbbb ddddddddddddddbb gbbbd dbb ddddddddddddddgbb gbbbg bb bb dbbbg gbg dbb dbbbg bb bb bbbb gbg bb bbbb bb bbd bbbb gbg bb bbbb bb bbd gbbbd gbd bb gbbbd bb gbg gbbbg bbd bb dbbbg bb gbg dbbbg bbd bb bbbb bb dbb bbbb bb bb bbbb bb dbb bbbbd bb bb gbbbd dbb bb gbbbd bb bbd dbbbg dbb bb dbbbg g bbbbbb bbb ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#e4060fff b,#25fb5fff c,#f5abafff d,#c6fcd4ff e,#ea4f54ff f,#6bad4cff g,#77fb9aff ``` ```image eaaaaa eaaaaa eaaaae aaaaae caaaaae caaaaac caaaaac eaaaaac eaaaaac eaaaaa eaaaae caaaaae caaaaae caaaaafbg caaaaafbbbd eaaaaafbbbbb eaaaaafbbbbbbg eaaaaegbbbbbbbb eaaaaedbbbbgbbbbg eaaedbbbbg dbbbb ae gbbbb gbbbg gbbbbd dbbbbd dbbbbg gbbbg bbbbg dbbbbd gbbbb gbbbg gbbbbd bbbbd dbbbbg gbbbb dbbbg bbbbd dbb gbbbb d bbbbg dbbbb bbbbg dbbbb gbbbg dbbbbd gbbbg dbbbb gbbb bbb gbb bb gb ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e4040dff b,#25fb5fff c,#f1868aff d,#b2fdc6ff e,#e93940ff f,#f8c8caff g,#68fc90ff ``` ```image fa faaa caaaac eaaf aa eaa caa aaa aac aaa aa aae eae faae aaf faac faa caaf eae eaaf aa aaa faa e aaa aac cae aaa aa aa aae caa cae faae aaf aa caac aa cae caaf eae aa eaa aaf cae aaa faa aa aaa aac cae aaa aa aa aae caa cae faac aac aa caac aa cae eaaf eae aa eaa aafcae aaa faaaa aaa eaae aaa aa faae f faac caaf eaaf eaa aaa aaa aae faae faac caaf eaaf aaa aaab aaabbb aaebbbb aebbgdbb gbb bbd bb bb bbd bbd dbg bb bbd bb gbg g bb bbbb gbg gbbbbb bb gbbbd dbb dbb gbbbd bb bb dbbbg dbg dbb dbbbg bb bb dbbbb gbg bb bbbb bb bbd bbbb gbg bb bbbbd bb bbd gbbbd gbd bb gbbbd bb gbg gbbbg bbd bb dbbbg bb gbg dbbbg bbd bb bbbb bb dbb bbbb bb bb bbbb bb dbb bbbbd bb bb gbbbd dbb dbb gbbbd bb bbd dbbbg dbb bb dbbbg g bbbbbb bbb d ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#233a47ff b,#dcbbe4ff c,#859399ff d,#eeeaf1ff e,#4e626bff f,#a3cda4ff g,#b2d6b3ff ``` ```image bb bbbbd bbbbbb dbb bbbbd bbb bbbb bb bbbbd dbb bbbb bbd dbbbb bb bbbbd bbb dbbbb bbd bbbbd bb dbbbb dddddddbbbdd bbbbd fffffffbbgffd bbbb gggggggbbggfd dbbbb ggggggbbbggfd bbbbd ggggggbbgggfd dbbbb ggggggbbgggfd bbbbd gggggbbbgggfd dbbbb gggggbbggggfd bbbbd ggggbbbggggfd bbbb ggggbbbggggfd dbbbb ggggbbgggggfd bbbbd gggbbbgggggfd dbbbb gggbbggggggfd bbbbd gggbbggggggfd dbbbb ggbbbggggggfd bbbbd gggggggggggfd bbbb gggggggggggfd dbbbb gggggggggggfd bbbbd gggggggggggfd dbbbb gggggggggggfd bbbbd gggggggggggfd dbbbb gggggggggggfd bbbbd gggagggggggfd bbbb ggeaafgggggfd dbbbb ggfaaacggggfd bbbbd ffffaaaeffff dbbbb eaaa bbbbd caaad dbbbb daaag bbbbd aaae bbbb eaaa dbbbb caaad bbbb baaab dbbd aaac bbb aaaa dbb caaa dbb gaaab bb daaac bb aaae bbd eaaa bbd gaaad bbb daaac dbb aaae dbb eaaa bb faaad bb daaaf bbd aaae bbd eaaa bbb caaad dbb daaag aaae eaaa caaa baaab aaac aaae caaa gaaab daaac aaae eaaa gaaad daaac db aaae gceaaaaa eaaa bceaaaaaaaaaaaa faaad dceaaaaaaaaaaaaaecd daaaaaaaaaaaaaaaaecb aaaaaaaaecg ccgd ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#223a47ff b,#dcbae5ff c,#72818aff d,#e9d5eeff e,#435762ff f,#a2acb1ff g,#f3ecf6ff ``` ```image bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbb bbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbb bbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gdbbd gg g def geaac caaaaeg geaaaaaeb geaaaaaaf ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#223a47ff b,#dcbae5ff c,#74838bff d,#ece0f0ff e,#475b66ff f,#9aa5abff g,#c5cbceff ``` ```image bb bbbbd bbbbbb dbb bbbbd bbd bbbb bb dbbbd dbb bbbb bbd dbbbb bb bbbbd bbb dbbbb bbd bbbbd bb bbbb bbb dbbbd bbd bbbb dbb dbbbb bbb bbbbd bb dbbbb dbb bbbbd bbd bbbb bb bbbbd dbb bbbb bbd dbbbb bb bbbb bbb dbbbb bbd bbbbd bb bbbb bbb bbbbd bbbb dbbbb bbbb dbbbb bbbbd dbbbb bbbbd e bbbb caad dbbbd daaaf bbbb aaae dbbbb eaaa bbbbd faaad dbbbb daaag bbbbd aaac bbbb eaaa dbbbd caaa bbbb gaaag dbbd aaac bbb eaae dbb caaa dbb gaaag bb aaac bb aaae bb caaa bbd gaaad bbb daaaf dbb aaae dbb eaaa bb faaad bb daaaf bbd aaae bbd eaaa bbb faaad dbb daaag aaac eaaa caaa gaaag aaac aaae caaa gaaag aaaf aaae caaa gaaad daaaf g aaae gceaaaae eaaa gfeaaaaaaaaaaaa faaad dfeaaaaaaaaaaaaaefd daaaaaaaaaaaaaaaaefg aaaaaaaaecg ccg ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#aaa91aff b,#286fd8ff c,#e1e1afff d,#b6cef1ff e,#6f9fe1ff f,#c1c465ff g,#afd6afff ``` ```image be bbbbd bbbbb dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd bbbbb dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbb be bb db bb bb dbd bb bb fc dbd af bb af eb af be af bb af eb aa be aa bb aa db aa bb aa bb aa dbd aa bb aa bb aa bd aa bb aa eb aa be aa bb aa eb fa be fa bb fa db fa bb fa bb fa ggggggggggggebeggg ca gggggggggggggbgggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ac gggggggggggggggggg ac ggggggggggffaafggg ac gggffaaaaaaaaafggg ac ccfaaaaaaaaaffgggggggg ac cfaaaaaaaaaafggggggggggggggg ac cfaaaaaaaaaffc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af ccfaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaafc gggggggggggggggggg aafaaaaaaaaafcc aaaaaafc ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#aaa919ff b,#296fd8ff c,#d7d693ff d,#c3d6f4ff e,#78a4e6ff f,#c0c056ff g,#ebeac9ff ``` ```image bbbe ebbb dbbbd bbbe ebed gc gccffaaaag ggcffaaaaaaaaaaac ggccfaaaaaaaaaaaaaaaaaac ccffaaaaaaaaaaaaaaaaaaffcgg aaaaaaaaaaaaaaaffccg aaaaaaaaffccg aafccgg ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#aaa91aff b,#286ed8ff c,#d9d99aff d,#acc7efff e,#6a9be4ff f,#c2c25cff g,#e5eae2ff ``` ```image bd gbbbbd gebbbbg dbbbbe dbbbbe ebbbbd ebbbbg gbbbbe dbbbbe ebbbbd ebbbbd gbbbbeg dbbbbe dbbbbd ebbbbd gbbbbbg dbbbbe dbbbbd ebbbbd ebbbbg dbbbbe dbbbbe ebbbbd ebbbbg gbbbbe dbb be bb dbg bb bb dbd bb bb fc gbd af bb af eb af be af bb af eb aa be aa bb aa dbg aa bb aa bb aa dbd aa bb aa bb aa gbd aa bb aa eb aa be aa bb aa eb fa be fa bb fa dbg fa bb fa bb ca dbd ca bg ca ca ca gag gag gag gag cfaag ac gfaaaaaaaaac ac gcfaaaaaaaaafc ac gcfaaaaaaaaafcg ac cfaaaaaaaaafcg ac gcaaaaaaaaaafc af gcfaaaaaaaaafc af gcfaaaaaaaaafcg af cfaaaaaaaaafcg af gcfaaaaaaaaafc af gcfaaaaaaaaafcg aafaaaaaaaaafcg aaaaaacg ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#c128bbff b,#f68f0dff c,#ecc1ebff d,#fcdcb5ff e,#d472d0ff f,#f0b157ff g,#add4abff ``` ```image b bbbb bbbbbf bbbbbbf bbbbbbf bbbbbbf dbbbbbbf dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd fbbbbbbd fbbbbbb fbbbbbb ee fbbbbbb aaa fbbbbbb aaaa bbbbbbf aaa bbbbbbf aaaa bbbbbbf aaac bbbbbbf eaaa dbbbbbbf aaac dbbbbbbd eaaa dbbbbbbd aaae dbbbbbbd caaa dbbbbbbd gggggggggggggggg aaae fbbbbbbd gggggggggggggfgg caaa fbbbbbb ggggggggggggbbbg aaaa fbbbbbb gggggggggggbbbbb aaa fbbbbbb ggggggggggbbbbfg aaaa fbbbbbb gggggggggbbbbfgg aaac bbbbbbf ggggggggbbbbfggg eaaa bbbbbbf gggggggbbbbfgggg aaa bbbbbbf ggggggbbbbgggggg aaac bbbbbbf gggggbbbbggggggg caaa dbbbbbbfgggbbbbgggggagg aaa dbbbbbbfbbbbgggggaaag aaae dbbbbbbbbgggggaaaag caaa dbbbbbgggggeaaaeg aaac gfbbggggggaaaegg eaaa gggggggggaaaaggg aaa ggggggggaaaagggg aaac gggggggaaaaggggg caaa eaaac aaa caaae aaae caaaa caaa aaaa aaa aaaa eaaa aaaa aaa eaaac aaac caaae caaa aaaa aaa aaaa aaae aaaa caaa eaaaac aaa aaaaac eaaa eaaaaa aaa aaaaac aaac caaaaa eaaa aaaaae aaa caaaaa aaae eaaaae caaa aaaaac aaa eaaaaa eaaa aaaaac aaa caaaaa aaac aaaaae eaaa caaaaa aaa eaaaae aaae aaaaac caaa eaaaaa aaa aaaaac eaaa aaaaa aaa eaaaae aaac aaaaac eaaa aaaaa aaa eaaaae aaae aaaaac caaa aaaaa aaaaaaae eaaaaac aaaa aae ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c128bbff b,#f78f0dff c,#e6a9e3ff d,#fac37dff e,#d060ccff f,#f8a43bff g,#fcdfbcff ``` ```image fd fbbg fbbbbg gfbbbbbb gbbbbbbbb gbbbbbbbbf gbbbbbbbbf gbbbbbbbbf dbbbbbbbbd dbbbbbbbbd dbbbbbbbbd dbbbbbbbbd fbbbbbbbbg fbbbbbbbbg fbbbbbbbbg gfbbbbbbbbg gbbbbbbbbf gbbbbbbbbf c bd gbbbbbbbbf eae bbbd gbbbbbbbbf caaae bbbbbdbbbbbbbbd caaaaaa bbbbbbbbbbbbbd aaaaaaa bbbbbbbbbbbbd aaaaaaaa bbbbbbbbbbbd eaaaaaaac fbbbbbbbbbg eaaaaaaac gfbbbbbbg caaaaaaac dbbbfg caaaaaaae gg aaaaaaae eaaaaaaa eaaaaaaac caaaaaaac ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c128bbff b,#f78f0dff c,#e3a1e1ff d,#fbd09aff e,#d266ceff f,#f8ae50ff g,#f7e0e9ff ``` ```image b bbbb bbbbbf bbbbbbf gbbbbbbf gbbbbbbf gbbbbbbd gbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbg dbbbbbbg fbbbbbbg fbbbbbb ee fbbbbbb gaaa fbbbbbb aaaa bbbbbbf gaaa bbbbbbf aaaa bbbbbbf aaag gbbbbbbf eaaa gbbbbbbd aaac gbbbbbbd caaa dbbbbbbd aaae dbbbbbbd caaa dbbbbbbg aaae dbbbbbbg f gaaa fbbbbbbg fbb aaaa fbbbbbb bbbbf aaag fbbbbbb bbbbf aaaa fbbbbbb bbbbf aaag bbbbbbf bbbbd eaaa bbbbbbf bbbbd aaa bbbbbbf gbbbbg aaac gbbbbbbf gbbbbg caaa gbbbbbbd dbbbb a aaa gbbbbbbfbbbb aaag aaae dbbbbbbbb aaaag gaaa dbbbbb eaaac aaag dbb gaaae eaaa aaaa aaa aaaa aaac aaaa caaa eaaag aaa caaac aaae gaaae gaaa aaaa aaag aaaa eaaa aaaag aaa eaaac aaac caaae caaa aaaa aaa aaaa aaae gaaaa gaaa eaaaag aaag aaaaag eaaa caaaaa aaa aaaaac aaac caaaaa caaa aaaaae aaa gaaaaag aaae eaaaae gaaa aaaaag aaag caaaaa eaae aaaaac aaa caaaaa aaac aaaaac caaa gaaaaa aaa eaaaae aaae gaaaaag gaaa caaaaa aaag aaaaac eaae gaaaaa aaa caaaae aaac aaaaag caaa gaaaaa aaa caaaae aaac aaaaag gaaagaaaaa aaaaaaae eaaaaag aaaa aae ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#ab7a6dff b,#73f8cfff c,#b8fbe6ff d,#e3d4cfff e,#b1d7b1ff f,#c1a69aff g,#96c996ff ``` ```image aaf faaaaaf faaaaaafd daaaaaaad daaaaaaad dfaaaaaaf faaaaaaf faaaaaaad daaaaaaad daaaaaaad faaaaaaf faaaaaaf daaaaaaad daaaaaaad dfaaaaaaf faaaaaaf faaaaaafd daaaaaaad daaaaaaad dfaaaaa faaa daaf daaf faad aaa aaa aaa eaaaggggggggggggggg geaaaeeeeeeeeeeeeee gefaafeeeeeeeeeeeee geefaafeeeeeeeeeeee geeeaaaeeeeeeeeeeee geeeeaaaeeeeeeeeeee geeeeeaaaeeeeeeeeee geeeeeeaaaeeeeeeeee geeeeeeeaaaeeeeeeee geeeeeeegaaaeeeeeee geeeeeeeefaafeeeeee geeeeeeeeeaaaeeeeee geeeeeeeeeeaaaeeeee geeeeeeeeeeeaaaeeee geeeeeeeeeeeeaaaeee geeeeeeeeeeeeeafeee geeeeeeeeeeeeeeeeee geeeeeeeeeebbbbbeee geeeebbbbbbbbbbbeee cbbbbbbbbbbbbbeeeeee cbbbbbbbbbbbbeeeeeeeeeeee cbbbbbbbbbbbbeeeeeeeeeeeeeeeeee ccbbbbbbbbbbbcc egggggggggggggggggg cbbbbbbbbbbbbc ccbbbbbbbbbbbc cbbbbbbbbbbbbc ccbbbbbbbbbbbc cbbbbbbbbbbbcc cbbbbbbbbbbbc cbbbbbbcc bbc bbb cbb bbc bbb cbb bbc bbb cbb bbc bbb cbb bbc bbb cbb bbb bbb cbb bbb bbb bb bbb bbb bc ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#ab796cff b,#71f9cfff c,#9cfaddff d,#d8c1bcff e,#eee5e2ff f,#be988eff g,#cefceeff ``` ```image faaaaae faaaaae eaaaaaf eaaaaaf daaaaaf daaaaad daaaaad faaaaae faaaaae eaaaaaf eaaaaaf eaaaaaf daaaaad daaaaad faaaaae faaaaae faaaaae eaaaaaf eaaaaaf daaaaad daaaaad faaaaad faaaaae faaaaae eaaaaaf eaaaaaf daaaaaf daaaaad daaaaad faaaad faae efe ggccbc ggccbbbbbbbc ggccbbbbbbbbbbbbb ggccbbbbbbbbbbbbbbbbbbbg ggcbbbbbbbbbbbbbbbbbbbbbbccg ccbbbbbbbbbbbbbbbbbbbbbbcgg bbbbbbbbbbbbbbbbbbccgg bbbbbbbbbbbbccgg bbbbbbbccgg bccgg ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ab796dff b,#72f9cfff c,#a4fadfff d,#d4bbb5ff e,#eadedbff f,#c09b91ff g,#d3fcf0ff ``` ```image aad faaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaaad faaaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaaad daaaaaafe daaaaaaae eaaaaaaad efaaaaaad faaaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaa faaa eaaf daad faae aaa aaa aaa aaa eaaf eaaf daae faae aaa aaa aaa aaa eaaf daad faae aaa aaa aaa ae gcbbbb gcbbbbbbbbbb gcbbbbbbbbbbbc gcbbbbbbbbbbbcg gcbbbbbbbbbbbg gcbbbbbbbbbbbcg gbbbbbbbbbbbcg gcbbbbbbbbbbbcg cbbbbbbbbbbbcg gcbbbbbbbbbbbcg gcbbbbbbbbbbbcg cbbbbbbbbbbbcg cbbbbbbcg bbc bbb cbb bbc bbb cbb bbc bbb gbb bbc bbb gbb bbc bbb gbb bbc bbb gbbg bbb bbb gbbg bbb cbb bg ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3b6bfff b,#3db0d1ff c,#c3d8e0ff d,#79c8d8ff e,#b1d7b2ff f,#eaf2f1ff g,#a1cfa2ff ``` ```image aaacf faaaaaaaaacf fcaaaaaaaaaaaccf fcaaaaaaaaaaaacf fcaaaaaaaaaaacf fcaaaaaaaaaaaacf fccaaaaaaaaaaacf fcaaaaaaaaaaaacf fccaaaaaaaaaaacf fcaaaaaaaaaaaccf fcaaaaaaaac fcaa aa cac faa aa aac faa aa aaf faa aa aaf caa aa aa cac aa aa cac aa aa aac faa aa aaf faa aa aaf caa aa aa cac aa aa cac aa aa aac faa aa fffffffaacfffffff fggggggggaaggggggg f fgeeeeeeeaaeeeeeee bb fgeeeeeeeaaeeeeeee cbbbd fgeeeeeeeeaaeeeeee dbbbd fgeeeeeeeeaaeeeeee dbbbc fgeeeeeeeeaaeeeeee bbbbc fgeeeeeeeeaaaeeeee fbbbbf fgeeeeeeeeeaaeeeee fbbbb fgeeeeeeeeeaaeeeee cbbbb fgeeeeeeeeeaaaeeee dbbbd fgeeeeeeeeeeaaeeee dbbbd fgeeeeeeeeeeaaeeee bbbbc fgeeeeeeeeeeaaeeee bbbbf fgeeeeeeeeeeeaaeee fbbbbf fgeeeeeeeeeebbdeee cbbbb fgeeeeeeedbbbbbeee cbbbd fgeeeedbbbbbdeeeee dbbbd fgeebbbbbbeeeeeeee dbbbc fdbbbbbgeeeeeeeeee bbbbc cbbbbbdggggggggggggg fbbbbf fbbbbbd fbbbb dbbbbbf cbbbb cbbbbbc dbbbd cbbbbbd dbbbd dbbbbbf bbbbc dbbbbbc fbbbbbbbbbd fbbbbdf cc ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a2b5bfff b,#3cb0d1ff c,#cfe2e8ff d,#63bed8ff e,#bdcbd1ff f,#ecf2f5ff g,#97d4e6ff ``` ```image eaaae faaaa aaaaf eaaae caaaa aaaaf eaaac caaae faaaaf eaaac caaae faaaaf aaaac caaae faaaa aaaac eaaae faaaa aaaaf eaaae caaaa aaaaf eaaac caaae faaaaf eaaac caaae faaaaf adbc fgdbbbg cdbbbbbbd cgbbbbbbbbbbf fgdbbbbbbbbbdc cdbbbbbbbbbdgf cgbbbbbbbbbbgc fgdbbbbbbbbbdc fgdbbbbbbbbbdgf cgbbbbbbbbbbgc ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a2b5bfff b,#3cb0d1ff c,#cfdde3ff d,#71c5ddff e,#bac8cfff f,#e6eff2ff g,#a4dae9ff ``` ```image aaecf faaaaaaaaacf feaaaaaaaaaaaec fceaaaaaaaaaaecf ceaaaaaaaaaaaec fceaaaaaaaaaaecf ceaaaaaaaaaaaef fcaaaaaaaaaaaecf fceaaaaaaaaaaaef feaaaaaaaaaaaecf fceaaaaaaae ceaa aa eac aa aa eac faa aa aaf faa aa aaf cae aa aa cae aa aa eac aa aa eac faa aa aaf faa aa aaf cae aa aa cae aa aa eac aa aa eac faa aa aaf faa f aa bb aaf gbbbd cae dbbbd aa dbbbg aa bbbbc cae fbbbbf aa fbbbb aa gbbbb eac gbbbd aa dbbbg aa bbbbg eac bbbbf faa fbbbbf fdbg cbbbb dbbbbb gbbbd gbbbbbg dbbbd fbbbbbd dbbbg dbbbbbf bbbbc gbbbbbg fbbbbf fbbbbbd cbbbb dbbbbbf gbbbd gbbbbbg gbbbd cbbbbbd dbbbg dbbbbdf bbbbg gbbbbbc bbbbbbbbbg fbbbbd cc ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all 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,#886c96ff b,#ab9badff c,#6d505bff d,#e9e4e9ff e,#b1d7b1ff f,#95c795ff g,#cbc0ccff ``` ```image bcc ccccd gcccccb acccccca ccccb ccc bccccd ccc cccca acc dccccg gccd bcccc ccb b cccca cca bccg gccccd ccc ffcccccffffe acccc ccc eeeaccccceef ccccb acc eeeeecccccaf bccccd gccd eeeeeeecccccg cccca ccb eeeeeeeefcccccd dccccg cca eeeeeeeeeeaccccccccc ccc eeeeeeeeeeefccccccb ccc eeeeeeeeeeef dcccd acc eeeeeeeeeeef gccd eebaaeeeeeef ccb eeaaaeeeeeef cca eebaaeeeeeef ccc eeeaabeeeeef ccc eeeaaaeeeeef acc eeeaaaeeeeef gccd eeeaaaeeeeef ccb eeebaaeeeeef cca eeeeaabeeeef ccc eeeeaaaeeeef ccc eeeeaaaeeeef acc eeeeaaaeeeef gccd fffffaaffffe ccb aab ccc aaa cccd aaa dccc baa cccg bca daad ccc dccccd aab accg accccg aaa ccc gccccc aaa bccb cccccd baa ccc bccccb daag gcca dccccc aab ccc accccg aaa dccc gcccca aaa cccd cccccd gaa dccc bccccb daag cccg dccccc aab ccc accccg aaa accb gcccca aaa ccc cccccd gaa bccb bccccb aag cccccccc aaa gcccccg aaa ccca baa bd gaad aab aaa aaa baa daad aab aaa aaa baa daag aab aaa aaa gaa daag aaagdd aaaaaaaaaaaaabbgd baaaaaaaaaaaaaaaaaaaaaaaabggd dggbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbggd dggbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbgdd dgbbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbgd ddgbbaaaaaaaaaaaaaaaaaaaaaaaaaaa dggbbaaaaaaaaaaaaaaa dggbaaaa ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#876b97ff b,#b5a5b9ff c,#6e515cff d,#efecf0ff e,#a18da5ff f,#ddd6dfff g,#c8bcccff ``` ```image eccccccccced bccccccccccb deccccccccccg facccccccccaf gcccccccccced bcccccccccc decccccccc facccccc gccccc bccc dec f df dgeaaad daaaaag aaaaab eaaaae gaaaaa faaaaaf daaaaag aaaaab baaaae gaaaaad faaaaaf daaaaag eaaaab baaaaa gaaaaad faaaaaf aaaaag eaaaae baaaaa gaaaaad daaaaaf aaaaab eaaaae baaaaa ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#876b98ff b,#b4a4b7ff c,#6d505bff d,#e9e5eaff e,#9e8a9fff f,#876f78ff g,#cdc2ceff ``` ```image ecc ccccd gcccccb fccccccf ccccb ccc bccccd ccc ccccf ecc dccccg gccd ecccc ccb e cccce ccf bccg gccccd ccc cccccd fcccc ccc eccccf ccccb ecc fcccce bccccd gccd dcccccg ccccf ccb gcccccd dccccg ccf eccccccccc ccc fccccce ccc dcccd ecc gccd gaa ccb aaa ccf gaa ccc daag ccc aae ecc aaa gccd eaa ccb gaad ccf aag ccc aaa ccc aaa ecc eaa gccd gaad ccb aab ccc aaa cccd aaa dccc baa fccg bcf daad ccc dccccd aab fccb fccccb aaa ccc gccccf aaa ecce cccccd baa ccc bcccce daag gccf dccccc aae ccc fccccg aaa dccc gccccf aaa cccd cccccd baa dccc ecccce daag fccg dccccc aae ccc fccccg aaa fccb gccccf eaa ccc cccccd gaa bcce eccccb aag cccccccc aaa gcccccg aaa cccf eaa ed gaad aab aaa aaa baa gaad aab aaa aaa baa daag aae aaa aaa baa daag aaagdd aaaaaaaaaaaaaebgd baaaaaaaaaaaaaaaaaaaaaaaebbgd dggbeaaaaaaaaaaaaaaaaaaaaaaaaaaaebggd dgbbeaaaaaaaaaaaaaaaaaaaaaaaaaaaebgdd dgbeaaaaaaaaaaaaaaaaaaaaaaaaaaaaebgd ddgbeaaaaaaaaaaaaaaaaaaaaaaaaaaa dggbeaaaaaaaaaaaaaaa dgbbeaaa ``` <!-- end of image -->	[ "" ]
I'm optimistic that I'll find some intersections in this image. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#e79e59ff b,#b0b6d9ff c,#efe3daff d,#b2d7b1ff e,#e9bf91ff f,#747ebdff g,#96c996ff ``` ```image bbfffff cbffffffffffffffc bffffffffffbbbfffffc bffffbc bfffffb cfffffb cffffff ffffff bfffffc bfffffb bfffffb cfffffb ffffff ffffff bfffffc bfffffb cfffffb cfffffb ffffff bfffffc bfffffc bfffffb cfffffb ffffff ffffff bfffffc bfffffb bffffffggggggggggggg cffffffddddddddddd ffffffddddddddd gdffffffddddddd gdddffffffddddd gdddddgfffffddd gdddddddafffddd gdddddddaaadddd gdddddddaaadddd gddddddaaaadddd gddddddaaaadddd gddddddaaaadddd gdddddeaaaadddd gdddddaaaaadddd gdddddaaaaadddd gddddeaaeaadddd gddddaaaeaadddd gddddaaeeaadddd gddddaadeaadddd gdddaaadeaadddd gdddaaadeaadddd gdddaadddaadddd gddeaadddaadddd cae dggaaagggaagggg aaae aae caa aaac caa aa aaac eaa aa aaa aaa aa aaa aac aa caaa eaa aa caaa aaa aa eaaa aae aa eaae caa aac aaae eaa aac aaac aae aac aaac aac aac aaa eaa aac aaa cceaaa aac caaa ccceeeaaaaaaaaaaaaaaae aae caaa cceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aae eaaa cceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeecc aae eaaaaaaaaaaaaaaaaaaaaaaaaaaaeeecc aae aaaaaaaaaaaeeeccc aae aae aae aae aaa aaa aaa aaa aaa aaa eaa eaa eaa ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#e79e58ff b,#9da4d1ff c,#f4d3b3ff d,#c8cbe4ff e,#eebc8cff f,#747ebcff g,#f6e8dbff ``` ```image ffb ffffbg ffffffbd ffffffffbd fffffffffffd dfffffffffffd dbffffffffffbg dbffffffffffbg gbffffffffffbd bffffffffffbd dffffffffffb dffffffffd gaffffff caaafffd eaaaaab aaaaaa gaaaaaa eaaaaaa aaaaaaa gaaaaaaa caaaaaaa eaaaaaaa aaaaaaaag gaaaaaaaag eaaaaaaaag aaaaaaaaag gaaaaaaaaag caaaaaaaaag eaaaaaaaaag aaaaaeaaaag caaaaeeaaaag eaaaaceaaaac aaaaageaaaac gaaaaa caaaac caaaae caaaac eaaaac caaaac aaaaa caaaac caaaae caaaac eaaaac caaaac aaaaag caaaac gaaaaa caaaae caaaae caaaae eaaaag gaaaae gaaaaa gaaaae caaaae gaaaae eaaaac gaaaae ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e79e59ff b,#9ba2cfff c,#f4d5b8ff d,#c4c8e3ff e,#eeb988ff f,#747ebdff g,#f4ece7ff ``` ```image dbfffff dbffffffffffffffg bffffffffffbdbfffffd dfffbdg dfffffd dfffffb gfffffb ffffff bfffffg dfffffd dfffffd gfffffb gffffff bfffffg bfffffd dfffffd dfffffb gfffffb ffffff bfffffg bfffffd dfffffd dfffffb gfffffb ffffffg bfffffg dfffffd dfffffd gfffffb ffffff bfffffg bfffffd dfffff afff aaag caaa aaaa aaaa aaaa eaaaa aaaaa aaaaa caaeaa aaaeaa aaecaa gaa caa eaa caa aaa caa aac caa caa gaa gae aaa gaa aaac aae gaa aaac gaa gaa aaag eaa aa aaa aae aa gaaa aag aa gaaa caa aa caaa aaa aa eaaa aac aag eaae gaa aag aaae eaa aag aaac aae aag aaag aag aac aaag caa aac aaa ggccaaa aac gaaa gccceeaaaaaaaaaaaaaaac aac caaa gcceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aac caaa ggcceeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccgg aac eaaaaaaaaaaaaaaaaaaaaaaaaaaeeeccg aae aaaaaaaaaaaeecccg aae aae aae aae aae aaa aaa aaa aaa aaa eaa eaa eaa ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#196495ff b,#98aa0bff c,#adc8d8ff d,#bfcd74ff e,#5a90b1ff f,#eaf1e8ff g,#aed5adff ``` ```image f bbbf fbbbbb dbbbbbbb bbbbbfbbbb fbbbbb fbbbd dbbbbd dbbbf bbbbbf bbbb fffffffffffffff fbbbbb bbbb ggggggggggggggggdbbbbd bbbb gggggggggggggggbbbbbf fbbbd ggggggggggggggbbbbb dbbbf ggggggggggggdbbbbd bbbb gggggggggggbbbbbf bbbb ggggggggggbbbbbgf bbbb ggggggggdbbbbdggf fbbbd gggggggbbbbbggggf dbbbf ggggggbbbbbgggggf bbbb ggggdbbbbdggggggf bbbb gggbbbbbggggggggf bbbb ggbbbbbgggggggggf fbbbd dbbbbdggggggaaggf dbbbf bbbbbgggggggaaaegf bbbb fbbbbbgggggggaaaaagf bbbb dbbbbdgggggggaaaaaagf bbbb bbbbbggggggggaaaaaaagf fbbbd fbbbbb gggggggeaaaeaaagf dbbbf bbbbbdddgff dbbbbd fffffcaaaefaaac bbbb bbbbbbbbbbbbbbbbbbbbbf faaae eaac bbbb bbbbbbbbbbbbbbbbbbbb aaaa caae bbbb ffgdddbbbbbbbbbd aaaa aaa fbbbd aaaa aaa dbbbf aaaa aaa bbbb eaaaf aaa bbbb eaaac eaac bbbb caaae caae fbbbd faaae faaa dbb faaaa aaa g aaaa aaa aaaa aaa aaaa aaaf eaaaf eaac eaaac caaac caaae aaaae faaae aaaaa faaaa eaaaac aaaa faaaae aaaa aaaaa aaaa eaaaac aaaaf faaaae eaaac aaaaa caaac eaaaac caaae faaaae faaaa aaaaa aaaa eaaaac aaaa caaaae aaaa aaaaa aaaaf eaaaac eaaac caaaae caaac aaaaa caaae eaaaac faaaa caaaae aaaa aaaaf aaaa eaaa aaa aaaa ef aaac caaaf aaaa aaae faaac eaaa aaaa aaae caaaf eaaa aaaa aaae caaaf aaaa aaaa faaac eaa c ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#196495ff b,#97a909ff c,#a0bfd3ff d,#cbd384ff e,#5f94b5ff f,#e1e7c4ff g,#b2bf49ff ``` ```image fb dbb gbbb fbbbbb dbbbbbb gbbbbbbb fbbbbbbbbb dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg cec dbbbbbbbbbd eaaaa bbbbbbbbbf eaaaaac bbbbbbbg eaaaaaae bbbbbbd caaaaaaae bbbbbf caaaaaaaaa bbbg faaaaaaaaaa bbd faaaaaaaaaaac bf aaaaaaaaaaaac eaaaaaaaaaaaae eaaaaaaaeaaaaae ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#186495ff b,#98aa0bff c,#b3ccdcff d,#c9d281ff e,#4481a9ff f,#e8eee3ff g,#76a3c0ff ``` ```image f bbbf bbbbb dbbbbbbb bbbbbfbbbb bbbbb fbbbd dbbbbd dbbbf bbbbbf bbbb fbbbbb bbbb dbbbbd bbbb bbbbbf fbbbd fbbbbb dbbbf dbbbbd bbbb bbbbbf bbbb fbbbbb bbbb dbbbbd fbbbd bbbbbf dbbbf fbbbbb bbbb dbbbbd bbbb bbbbbf bbbb fbbbbb fbbbd dbbbbd aa dbbbf bbbbbf aaag bbbb fbbbbb aaaaa bbbb dbbbbd aaaaaa bbbb bbbbbf eaaaaaa fbbbd fbbbbb gaaacaaa dbbbf bbbbbddddff dbbbbd caaag eaaf bbbb bbbbbbbbbbbbbbbbbbbbbf faaae gaag bbbb bbbbbbbbbbbbbbbbbbbb aaaa caae bbbb ffddddbbbbbbbbbd aaaa aaa fbbbd aaaa aaa dbbbf aaaa aaa bbbb eaaaf aaa bbbb gaaac eaac bbbb caaag caag fbbbd faaae faaa dbb aaaa aaa d aaaa aaa aaaa aaa aaaa eaaf eaaaf gaag gaaac caaac caaag aaaae faaae aaaaa faaaa gaaaac aaaa faaaae aaaa aaaaa aaaa gaaaac eaaaf faaaae gaaac aaaaa caaag gaaaac caaae faaaae faaae aaaaa aaaa gaaaac aaaa caaaae aaaa aaaaa eaaaf eaaaac eaaac caaaae gaaag aaaaa caaae eaaaac faaae caaaag aaaa aaaaf aaaa eaaa aaa aaaa ef aaag caaaf aaaa aaae faaac gaaa aaaa aaae caaaf eaaa aaaa aaag caaaf eaaa aaae faaac gae c ``` <!-- end of image -->	[ "" ]
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,#aa1af6ff b,#bc5ff6ff c,#e8ccfbff d,#8335ebff e,#aed5aeff f,#d298f9ff g,#a594c8ff ``` ```image eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eegeeeeeeeeeeeee eeddgeeeeeeeeeee eeeeddgeeeeeeeee eeeeeeddeeeeeeee eeeeaeegddeeeeee eeeeaeeeeddgeeee eeegaeeeeeeddgee eeegaeeeeeeeedde eeegaeeeeeeeeegdd eeegaeeeeeeeeeeebdb eeegaeeeeeeeeeee ddf c eeegaeeeeeeeeeee ddc bdd eeegaeeeeeeeeeee cdd cddb fac fdb bddc faf bdf cddb baf ddc bddc bab cdd fddb bab fdb bddc bba bdf fddb bba ddc dddc bfa cdd fddf bfa fdd dddc aca bdb fddf aca ddf cddd aca ddcfddf aca cdd aca aca a ac a ac a bf a bb a fb a fa a ca a a a a a a a a a a a a a a a a a ac a ac a bf a bf a fb a fb a ca a ca a a ca a ca a ca a ca a ca a ca a fb a a fb ac af fb ac ab fb bf ba fb bb fa bb fb ca bb fa ac bf ca af bf a ab bf a ba bf a ca bf a a ac aaabf ac ac fbaaaabc ab ac cbaaaabf ba ac fbaaaabc fa ac cbaaaabf ca ac cfaaaaafc fac a cbaaaabf baac a cfaaaaafc caab a fbaaaabc baac cbaaab ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#a918f6ff b,#c159f8ff c,#ddb8faff d,#8232ecff e,#9f62f0ff f,#c795f6ff g,#ecd9fcff ``` ```image fg cddeg gedddf cddddc fdddeg fdddeg gedddf bb cedddf gaag fdddec gaag fdddeg gaag gedddf gaac cedddf gaac cdddec gaaf fdddeg caaf geddd caaf ged caab c caab caab caab caaa caaa faaa faaa faaag ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a918f6ff b,#be6cf6ff c,#e0b8faff d,#8233ecff e,#b444f6ff f,#cf93f8ff g,#f0defcff ``` ```image f bdf ddc gdd ga fde ga bdb ga ddc ca gddg ca cdd ca bdb ca ddc g fa gddg bdd fag cdd cddb fac fdb bddc faf edf cddb baf ddg bddc bab gdd cddb bae fde eddg bea bdf fddb eba ddc eddg efa gddg fddf eca cdd gdddg eca bdb fddf aca ddc gdddg aca gddgfddf aga cde aga agag agag a ec a ef a bb a fb a ce a ca a ga a a a a a a a a a a a a a a a ag a ac a ec a bf a fb a fe a ca a ga ga a ga a ga a ga a ca a ca a ce a ce a a fe ag ac fe ec ab fb ef ea fb bb fa bb fb ga bb ce ag bf ca af bf ga ee ef a ba ef a ca ec a ag ec aaaefg ac ac feaaaabc ab ac cbaaaaef ee ag gfeaaaabg fa ag cbaaaaec ga ag gfeaaaafg cag ag cbaaaabc baag a gfeaaaefg caab a ceaaaabc baac gbaaae ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e39f7ff b,#bf868dff c,#849cf4ff d,#dec1c5ff e,#4266f4ff f,#c8d2fcff g,#acd4acff ``` ```image bd bd bb bb bb bbd db dbbbd db bbbbd b dbbbb bd bbbbd bd dbbbb bb dbbbd bb dbbbb bb dbbbd db bbbb db dbbbd b bbbbd bd dbbbb bd bbbbd bb dbbbb bb bbbbd e bb dbbbb eae db dbbbd cae db bbbb caa b dbbbd faa bd bbbbd faa bd dbbbd aa bb bbbbd aa bb dbbbb aa bb bbbbd aaf gggggbbggggggggg dbbbb aaf ggggggbgggggggggbbbbd eac ggggggbgggggggbbbb eac ggegggbggggbbbbb cae ggaaggbbgbbbbggg cae gggaaebbbbbggggg faa ggggeabbgggggggg faa gggggcaacggggggg aa gggggggaaegggggg aa ggggggggeaeggggg aa gggggggggeaegggg aa ggggggggggaacggg aaf gggggggggggaacgg aaf ggggggggggggaagg eac gggggggggggggaag eae ggggggggggggggaa cae gggggggggggggggaa caa ggggggggggggggggaa faa faa faa faa aa faa aa cae aa cae caf eae aa eac aa aac ac aaf faf aaf ca aa aa aa aa aa ac aa fa faa ca faa aa faa ae cae ac cae fa eae ea eac aa aac ae aaf ac aaf fa aa ea aa aa aa ae aa af faa ca faa ea faaaa caae caf ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e39f7ff b,#bf858cff c,#a3b3fbff d,#ddddf3ff e,#3c5cf3ff f,#6682faff g,#dababeff ``` ```image bbbg gbbg gbbg gbbb dbbb g bbb dgbb bbbd gbbbbb ec bbbg dgbbbbbbb faaf bbbg gbbbbbbbbg daaaaed gbbg dgbbbbbbbgd deaaaac gbbbbbbbbbbbg faaaafgbbbbbbbbgd caaaaebbbbbbg deaaabbbgd faaaeed caaaaac deaaaaf caaaae deaaae faaaf eaaaf eaaaf deaaac deaaac daaaac daaaac daaaad caaaad caaaad caaae faaa faa fa f ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#0e3af8ff b,#be858bff c,#899ffbff d,#e8d4d6ff e,#4a6af9ff f,#c8d2fcff g,#d4adb2ff ``` ```image bd bg bb bb bb bbd gb gbbbg db bbbbd b dbbbg bd gbbbd bg dbbbb bb gbbbg bb dbbbb bb gbbbg gb dbbbbd db gbbbg b bbbbd bd dbbbg bg bbbbd bb dbbbb bb gbbbd e bb dbbbb eae gb gbbbg cae db dbbbbd caa b gbbbg faa bd bbbbd faa bg gbbbg aa bb bbbbd aa bb dbbbg aa bb gbbbd aaf gb dbbbb aaf db gbbbg aac b dbbbb eac e bd gbbbg eae faaf bgdbbbbd cae aaebbbbg faa eabbd faa faac aa aae aa eae aa eac aa aac aaf aaf aaf aaf eac aa eae aa cae aa caa aa faa faa faa faa aa faa aa caa aa cae caf eae aa eac aa aac ac aaf faf aaf ca aa aa aa aa aa ac aa fa faa ea faa aa faa ae caa ac cae fa eae ea eac aa aac ae aaf ac aaf fa aa ea aa aa aa ae aa af faa ca faa ea faaaa caae caf ``` <!-- end of image -->	[ "" ]
I'm optimistic that I'll find some intersections in this image. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#54a5a5ff b,#492411ff c,#d0e0dfff d,#a49389ff e,#725b4dff f,#8ec4a6ff g,#b0d5b3ff ``` ```image ccc aaa aaa aaa aaa aaac aaac faac faac faac gaag gaag caaf caaf ca caaf faaa caaa aaaaaf aaa aaaaaaa aaa aaaafaaaa aaa caaaac aaac aaa gaaaa caaa aaa faaaa aaaa aaa aaaaa aaa gfaaafffffffffff aaaaf faaa fgaaaggggggggggg aaaac aaag fgaaaggggggggggg caaaac caaa fgaaaggggggggggg faaaa aaaa fgaaaggggggggggg aaaaa aaac fgaaaggggggggggg aaaaf faaa fgaaaggggggggggg aaaag aaaf fgaaaggggggggggg caaaac caaa fgaaaggggggggggg gaaaa aaaa fgaaaggggggggggg aaaaa aaac fgaaaggggggggggg aaaaa gaaa fgeeaaaafggggggg aaaaf aaaf fbbbaaaaaaaaaaff caaaac aaa fbbbbaaaaaaaaaaaaaaagc caaaa aaaa ffbbbggffaaaaaaaaaaaaaaaaafc faaaa aaag fgbbbbgggggggffaaaaaaaaaaaaaaaaafcaaaaa caaa fggbbbdggggggggg cgaaaaaaaaaaaaaaaaf aaaf fggdbbbggggggggg cgaaaaaaaaag aaa gfffbbbbffffffff cgfac aaa bbbc aaa ebbb faac bbbd caaf gbbb aaa bbbb aaa bbbc aaa ebbb faac bbbd caaa gbbb aaa bbbb aaa bbbc aaa ebbb faag bbbe caaa cbbb aaa bbbb aaa bbbg aaac dbbb bbbe cbbb bbbb bbbg dbbb bbbe c cbbb dbbb ebbb bbbbbbg bbbd dbbbbbbbbe dbbb bbbbbd bbbbb bbbe dbbbbb ebbbbc bbbc bbbbbd gbbbbe ebbb dbbbbb bbbbb bbbd bbbbbd ebbbbc gbbb dbbbbb dbbbbd bbbb bbbbbd bbbbe bbbc dbbbbb bbb ebbb bbbbbd d bbbd dbbbbb gbbb bbbbbd bbbbbbbbbbbeeddc dbbbbb bbbbbbbbbbbbbbbbbbbbbbbd cebbbbbbbbbbbbbbbbbbbb cddeebbbbbd ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#53a5a5ff b,#492411ff c,#bad6d6ff d,#958379ff e,#5e574aff f,#86bfbfff g,#e5eeedff ``` ```image faaaaac faaaaac faaaaac faaaaac faaaaac caaaaac caaaaaf caaaaaf caaaaaf caaaaaf caaaaaf caaaaaf gaaaaaf gaaaaaf gaaaaaa gaaaaaa gaaaaaa gaaaaaa aaaaaa aaaaaa aaaaaa aaaaaag aaaaaaccg ebeaaaaaaaffccg cebbbaaaaaaaaaaaaaffccg gdbbbbbeaaaaaaaaaaaaaaaaaaafcc ebbbbbbaaaaaaaaaaaaaaaaaaaaaa cbbbbbbbaaaaaaaaaaaaaaaaaaaaa dbbbbbbdffaaaaaaaaaaaaaaaaaa gbbbbbbbg gccffaaaaaaaaaaaa dbbbbbbd gccffaaaaaa ebbbbbbc ggcff cbbbbbbe dbbbbbbd gbbbbbbbg dbbbbbbd ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#53a5a5ff b,#492311ff c,#b9d2d1ff d,#a9978eff e,#71594bff f,#7fbbbbff g,#e1ebeaff ``` ```image ggc aaa aaa aaa aaa aaag faag faag faac faac caac caaf caaf caaf gfg gaaf faaa gaaa faaaaf gaaa aaaaaaa aaa aaaaffaaa aaa gaaaag aaac aaa caaaag caaa aaa faaaa aaaf aaa aaaaa aaag aaa aaaaf faaa aaa gaaaac aaac aaa caaaag caaa aaa faaaa aaaa aaa aaaaa aaag aaa aaaaf faaa aaa aaaac aaaf aaa gaaaag gaaa aaa caaaa aaaa aaa faaaa aaac aaag aaaaa caaa eeaaafcg aaaaf aaaf bbbaaaaaaaaafcg gaaaac gaaa bbbbaaaaaaaaaaaaaaacg caaaag faaa gbbbg cfaaaaaaaaaaaaaaaaafg faaaa aaac ebbb gfaaaaaaaaaaaaaaaaafcaaaaa caaa bbbd gcaaaaaaaaaaaaaaaaf aaaf dbbb gcfaaaaaaaac aaa bbbe gcfag aaa gbbbg aaa ebbb faac bbbd caaf dbbb aaa bbbb aaa bbbg aaa ebbb faac bbbd caaf cbbb aaa bbbb aaa bbbc aaag ebbb faac bbbe gaaa cbbb aaa bbbb aaa bbbc aaag dbbb g bbbe gbbb bbbb bbbd dbbb bbbe c gbbbg dbbb ebbb bbbbbbc bbbd dbbbbbbbbe dbbb bbbbbd bbbbb bbbe dbbbbb ebbbbc gbbbg bbbbbd cbbbbe ebbb dbbbbb bbbbb bbbd bbbbbd ebbbbg dbbb dbbbbb dbbbbd bbbb bbbbbd gbbbbe bbbg dbbbbb bbb ebbb bbbbbd d bbbd dbbbbb cbbbg bbbbbd bbbbbbbbbbbeeddcg dbbbbb bbbbbbbbbbbbbbbbbbbbbbbd cebbbbbbbbbbbbbbbbbbbb gcddeebbbbbd ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#354dabff b,#6de9a8ff c,#a3aed9ff d,#1edd78ff e,#caebe2ff f,#0c299aff g,#697bc0ff ``` ```image a ffa effa effa cffg cffg cffc gffc gffc gffe affe aff fff ffa effa effg cffg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe a e dd dd dde bdb edd dd dd bde bdb edd dd dde bdb edd dd dde bde bdb edd dd dde bdb edd dd dde bde bdb edd eeeebbbbbdddd dd eeeebbbbbddddddddddddddddddddddddddddbbb ddddddddddddddddbbbbbeeee ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#41279dff b,#aa97daff c,#5311d2ff d,#d8d0eeff e,#7a5dc5ff f,#b1d7b1ff g,#95c896ff ``` ```image a aad aaae baeaa aa aa aa ba eab ab ad daa aa dab aa aa aa aad ea aa eae dab bad daa aa aa aa aa ae aad ea ea dae dad aa d ae dab aa aa aa aa bad bad ae aa aa ae eaa ea baad aa aae dab aaa aa eaa aa daab bad aae aa aaa ae eaad ea daab aa aaa dab aaa aa baad aa daae bab aaa aa eaa aa baad bad aae aa aaa ae eaa ea daab aa aae dab aaa aa eaad aa daab bad aae aa aaa ae baad ea daab aa aaa dab eaa aa baad aa aae bad aaa aa b ggaaagaagggggggf dcd cc fffgaaaffffffffg dccd cc fffffaaffffffffg bcc cc fffffffffffffffg ecc cc fffffffffffffffg ccc ce fffffffffffffffg cce cc fffffffffffffffgbccb dce ffffffffffffbcccccb cc fffffffffeccccce dce fffffbccccccbffg cc ffeccccceffffffg dce decccccbfffffffffg cc bcccccefffffffffffffg dcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg dcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg bcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg bcb ecccccb gggggggggggggggf cc bccccced bcd ecccccb cc bccccced bcecccccb ccced ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#40259cff b,#a485e3ff c,#5311d2ff d,#dcd0f4ff e,#725eb6ff f,#bca7e8ff g,#8050ddff ``` ```image eaaaae aaae baaaaaaaaf faaaaaaa deaaaae eaaad feb dfg dbgccc dfgccccccc dbgcccccccccc dfgccccccccccgbd dbgccccccccccbf fgccccccccccgbd dbgccccccccccgf fgccccccccccgbd ccccccccccgf ccccccgbd cccgf bd ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#40269cff b,#a089d8ff c,#5310d2ff d,#e4def3ff e,#6f5bb4ff f,#c2b4e4ff g,#7f4eddff ``` ```image da aad aaae faeaa aa aa aa ba eab ab ad faa aa faf aa aa aa aad ba aa eae daf bad daa ae aa aa aa ae aaf ea ea fae faf aa d ae fab aa aa aa aa fad bad ab aa aa ae eaa ea faaf aa daae dab aaa aa eaad aa faaf faf aae aa aaa ae baad ead daab aa aae dab eaa ea baad aa daab faf aaa aa eaa ae faaf bad daae aa aaa dae eaad ea faaf aa aae faf aaa aa baad aa daab bad aae aa eaa ae baad ea daab aa aaa dab eaa aa faaf aa daae baf aaa aa b eaadae dcf cc faaa fccd cc aa bcc cg gcc cc ccc cg ccg cc bccb dcg fgccccf cc bcccccb dcg dgcccccf cc bcccccg dcg dgcccccf cc bcccccgd fcb dgcccccf cc bcccccgd fcb dgcccccf cc bcccccgd fcb dgcccccb cc fcccccgd bcf dgcccccb cc fcccccgd bcf dgcccccb cc fcccccgd bcgcccccb cccgf ``` <!-- end of image -->	[ "" ]
I'm curious to see if this image contains any intersection points. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#9e81afff b,#37476fff c,#b6acc5ff d,#dbd3e2ff e,#b1d7b1ff f,#94c497ff g,#708a8eff ``` ```image aa daaa aaaad aaaaa daadaac aaa aaa aac aaa caa aaad aaa aaa aaa aaa aac daac caaad caa aaa aaaaa aaa aaa caaaaa aac aaa aaadaad caa aaa daad aaa aaa caad aaa aaa aad aaa daad daad caa daac aaa aaa aaa aaa aac aaa aad aaa aaa daad caa caad aac aaa aaa aaa aaa aaa aad daac aaa daad caa aaa caa aaa aaa aaa aaa aaa aad caad caad daad aaa aaa aaa aaa daaa daac daad aaa aaa aaa aaa daad caad aaa daad aaa aaa caad aaa aaa aaa aaa aac daad caad daac aaa aaa aaa effffffffffaaafff dac aaa aaa feeeeeeeeeeeaceee daa caad feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caad feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caac feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caac feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeffeee aaa aaa feeeeeeeeefbbbeee daa caac feeeeeeefbbbbbeee aac aaa feeeeefbbbbbgeeee aaa aaa feeefbbbbbgeeeeee daa caac fefbbbbbgeeeeeeee aac aaa gbbbbbgeeeeeeeeee aaa aaa cbbbbbgeeeeeeeeeeee daa caac cbbbbbgeeeeeeeeeeeeee aac aaa cbbbbbgeeeeeeeeeeeeeeee aaa aaa cbbbbbc feeeeeeeeeeeeeeee caa caac cbbbbbc feeeeeeeeeeeeeeee feeaaaeeaaaeeeef cbbbbbc feeeeeeeeeeeeeeee feeaaaeaaaeeeeee cbbbbbc feeeeeeeeeeeeeeee feecaacaaaeeeeee cbbbbbc feeeeeeeeeeeeeeee feeeaaaaaeeeeeee cbbbbbc feeeeeeeeeeeeeeee feeeaaaaeeeeeeee cbbbbbc feeeeeeeeeeeeeeee feeecaaaeeeeeeee cbbbbbc feeeeaaeeeeeeeee cbbbbbc feeeeeeeeeeeeeee cbbbbbc feeeeeeeeeeeeeeecbbbbbc feeeeeeeeeeeeegbbbbbc feeeeeeeeeeegbbbbbc feeeeeeeeegbbbbbc feeeeeeegbbbbbfe feeeeegbbbbbfeee feeegbbbbbfeeeee fegbbbbbfeeeeeee gbbbbbfeeeeeeeee abbbbbfeeeeeeeeeee abbbbbfeeeeeeeeeeeee abbbbbgeeeeeeeeeeeeeee abbbbbd feeeeeeeeeeeeeee abbbbbgad abbbbbd feeeeeeeeeeeeeee gbbbbbbbbbbbbbbbbbd feeeeeeeeeeeeeee dcgbbbbbbbbbbbbd feeeeeeeeeeeeeee dcgbbd feeeeeeeeeeeeeee feeeeeeeeeeeeeee feeeeeeeeeeeeeee ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9e80afff b,#38486fff c,#c3c0d2ff d,#dbd0e1ff e,#a39fb9ff f,#f0eef3ff g,#5c698aff ``` ```image faaaaad faaaaaaf eaaaac eaaaaad caaaaa caaaaae faaaaad faaaaaaf eaaaac eaaaaad caaaaacaaaaae faaaaaaaaaaaf eaaaaaaaaad caaaaaaaae faaaaaaaaf eaaaaaad caaaaae faaaaaf caaad fdf fe febb febbbb febbbbbb febbbbbbbb febbbbbbbbbb febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc ebbbbbbbbbbgc bbbbbbbbbgc bbbbbbbgc bbbbbgc bbbgc bgc c ``` <!-- end of image --> I don't observe any intersections inside area A. Let's continue our search in the next region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c82aeff b,#37476fff c,#c3c3d2ff d,#425176ff e,#9d9fb7ff f,#efeff3ff g,#5e6b8bff ``` ```image eaaaaaf faaaaae caaaaef faaac ccf cgf cgbba cgbbbbbf cgbbbbbbba cgbbbbbbbbbdf cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef bbbbbbbbbdef bbbbbbbdef bbbbbdef bbbdef bdef ef ``` <!-- end of image --> The lines within area B do not intersect. Answer: A: 0; B: 0; 0 + 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9e80afff b,#37476fff c,#bdb4cbff d,#d2cadbff e,#a79fbbff f,#ede8f0ff g,#667291ff ``` ```image aa daaa aaaaf aaaaa daadaac aaa aaa aac faaa f caa eaaf eaa aaa aaa aaa aac daac eaaad caa aaa aaaaa aaa faae caaaaa aac aaaf aaafaaf caa aaa daad aaa aaa caad aaa eaa aad aaa faad faaf caa faae aaa aaa aaa aaa faac eaa aad aaa aaa faaf eaa caad aae aaa aaa aaa eaa aaa faad daae aaa faaf eaa aaa caa aaa aaa aaa aaa aaa faad eaaf caaf faaf eaa aaa aaa aae faaa daac daad aaa aaa aaa aaa faaf eaad aaa faad aae faaa eaaf aaa aaa aaa aaa faac daaf eaad daac aaa aae faaa aaa fae aaa aaa fad daaf eaad aae faaa aaa aaa daaf eaad aae faaa aaa aaa daaf caac aae faaa aaa aaa daaf caac aae aaa df aaa aaa dbbb daaf caac dbbbbbf aae aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaaf cbbbbbe daacaac cbbbbbe aaaaa ebbbbbe aaaaf ebbbbbc daae ebbbbbc aa ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbd abbbbbd abbbbbd f abbbbbd abbbbbged abbbbbd gbbbbbbbbbbbbbbbbbd degbbbbbbbbbbbbd degbbd ``` <!-- end of image -->	[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#948294ff b,#db2e4bff c,#eea1afff d,#ecd8ddff e,#c0b6c0ff f,#e4697eff g,#afd5afff ``` ```image bbbbbbbbffcdd bbbbbbbbbbbbbbbbbbbbbffccd dbbcffbbbbbbbbbbbbbbbbbbbbbbbbbc cbb ddcffbbbbbbbbbbbbbbbbc fbb dcbbbbbbbbbbfd bbb cfbbbbbbbbbfd bbb dfbbbbbbbbbbc bbf dfbbbbbbbbbbc bbf cbbbbbbbbbbfd bbc cfbbbbbbbbbfd bbd dfbbbbbbbbbbc dbb dfbbbbbbbbbbc cbb cbbbbbbbbbbfd fbb cfbbbbbbbbb bbb dfbbbbb bbb dff bbf bbc bbd dbb cbb fbb fbb bbb bbb bbf bbc a bbd aaa dbb aaa cbb aaa fbb daae bbb aaa bbb eaae bbf aaa bbc eaad bbc aaa bbd aaa dbb aaa cbb aaa fbb daae bbb aaa bbb eaad bbf aaa bbc aaa bbd aaa dbb aaa cbb daae ggfbbggggggg aaa ggbbbggggggg eaad gggggggggggg aaa gggggggggggg aaad gggggggggggg aaa gggggggggggg aaa gggggggggggg daae gggggggggggg aaa ggaaaggggggg eaae ggaaaagggggg aaa gggaaagggggg eaad ggggaaaggggg aaa gggggaaagggg aaa gggggaaaaggg aaa ggggggaaaggg aaa gggggggaaagg daae ggggggggaaag aaa ggggggggaaaa eaad gggggggggaaae aaa ggggggggggaaa aaa daaa aaa eaaa aaa aaae daae aaa aaa aaa aaaad eaaa daaaaaa aaae eaaaaaa aaa aaaaaae aaa daaaaaad daaa eaaaaaa aaaaaeeeedd aaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaa dddeeeeaaae ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#938093ff b,#db304dff c,#ec95a4ff d,#d0c4ccff e,#aea0aeff f,#e56e83ff g,#e7e1e5ff ``` ```image cbbbbf fbbbbc fbbbbc bbbbbd cffbbg gd daad eaaaag daaaaae eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae eaaaaad gaaaaaag daaaaaag eaaaaae eaaaaa gaaaaa daaaa ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#948194ff b,#db2d4bff c,#eb8d9eff d,#e6bfc8ff e,#b6a9b6ff f,#e25d74ff g,#ebdfe3ff ``` ```image bbbbbbbbfccdg bbbbbbbbbbbbbbbbbbbbbfccdg gbbcffbbbbbbbbbbbbbbbbbbbbbbbbfd cbb gdccfbbbbbbbbbbbbbbbbc fbb gcbbbbbbbbbbcg bbb dfbbbbbbbbbfd bbb dfbbbbbbbbbfd bbf gcbbbbbbbbbbc bbc cbbbbbbbbbbcg bbd dfbbbbbbbbbfd bbg dfbbbbbbbbbfd dbb gcbbbbbbbbbbc cbb cbbbbbbbbbbcg fbb dfbbbbbbbbb bbb dfbbbbb bbb gcf bbf bbc bbd gbb dbb cbb fbb bbb bbb bbf bbc e bbg eaa gbb aaa cbb aaa fbb gaae bbb aaa bbb daad bbf aaa bbc eaag bbd aaa bbg aaa dbb gaae cbb aaa fbb gaae bbb aaa bbb eaag bbf aaa bbc aaa bbd aaa gbb aaa dbb gaae cbb aaa fbb eaad aaa eaag aaa aaa gaae g aaa eaa daad eaae aaa aaag eaag aaa aaa gaaa aaa eaae gaae aaag aaa aaa gaae gaaa aaa eaae eaag aaag aaa aaa aaa gaaa aaa eaaa aaa aaad gaae aaa aaa aaa aaaad daaa gaaaaaa aaad eaaaaaa aaa aaaaaae aaa gaaaaaag daaa eaaaaaa aaaaeeeedgg aaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaag aaaaaaaaaaaaaaaaaaaaaaa gggdeeeaaae ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#304c3cff b,#d8bfa5ff c,#62796bff d,#e0d6caff e,#97be98ff f,#f1f3edff g,#b0d6b0ff ``` ```image f b df df fd fd b b b bb b dfdb b b bd b fb bf b b b df b fb dd dd db fd b dd b b bf b df fffbfffffffffffff b b fegggbgggggggggggg b fd fgggggbggggggggggg b b fgggggbbgggggggggg b b fggggggbgggggggggg b fbf fgggggggbggggggggg df db fggggggggbgggggggg fd bd fgggggggggbggggggg fd db fgggggggggbbgggggg b bd fggggggggggbbggggg b fbf fgggggggggggbggggg b bb fggggggggggggbgggg b fbf fggggggggggggggggg b db fggggggggggggggggg b bd fggggggggggggggggg df dbf fggggggggggggggggg df bb fggggggggggggagggg fd fbf fggggggggggcaegggg b bb fggggggggeacgggggg b bd feeeeeeeaaeeeeeeee b db eag b bd fac b fbf caf b bb dae b fbf aa df db ead dd bd fac fd db caf geeeeebeeeeeeeeef bb dae egggggbgggggggggf fbf aa egggggbgggggggggf bb ead egggggbgggggggggf bd fac egggggbgggggggggf db caf egggggbgggggggggfbd dae egggggbgggggggggbf aa egggggbgggggggbbf ead eggggggbgggggbggf fac eggggggbgggbbgggf caf eggggggbggbbggggf dae eggggggbbbggggggf aa eggggggbbgggggggf ead eaggggggggggggggf fac ecegggggggggggggf caf eecgggggggggggggf dae egagggggggggggggf aa egagggggggggggggf ead egaggggggggggggef fac ffafffffffffffff caf eg dae dc aa a ead a fac a caf cf dae ee aa fc ead a fac a caf a dae cd aa ge ead fa fac acaf ae ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f4c3bff b,#d9bea6ff c,#5a7063ff d,#e3d4c5ff e,#9faca4ff f,#f1eae3ff g,#7b8d82ff ``` ```image bb bb bb dbf dbf dbf fbd fbd fbd bb bb bb db dbf d dbf fbb fbf dbbd fbd fbbbf fbd fbbd bd dbbf bb fbbbf bb dbbd bb fbbbf dbfdbbd dbbbbf dbbd fac fbd aa caf gad eae dag fac aa caf gab eae dag ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Okay, let's direct our attention to the next zone. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#324e3dff b,#d9bda4ff c,#6d8176ff d,#e9ddd2ff e,#99a79eff f,#f4f0ebff g,#deccbaff ``` ```image dbg gbg gbd fbbf fbbf dbb gbg gbd bbd fbbf dbbf dbg gbg gbd fbbf fbbf dbb gbg gbd fbbd fbbf dbbf dbg gf df feac gaaae fcaacf eaaag dcaaef ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#2b4837ff b,#dabea5ff c,#657a6eff d,#dfd5c8ff e,#9aa8a0ff f,#f3eee9ff g,#3e5848ff ``` ```image f b d df fd fd b b b bb b dfdb b b bd b fb bf b b b df b fb df dd fb fd b dd b b bf b df b b b b b fd fb b b dd b b bf b fbf bf df db b fd bd fb fd db db b bd bd b fbf bf b bb b b fbf b db b bd df db df bb fa fd fbf caf b bb dae b bd gg b db ead b bd fac b fbf caf b bb dae b fbf gg df db ead fd bd fac fd db caf b bb dae b fbf gg b bb ead b bd fac b db caf b bd dae df fbf gg df bb ead fd fbf fac fd db caf b bd dae bdb gg bd ead a fac cd caf dc dae a gg a ead a fac g caf ee dae dc gg a ead a fac a caf cf dae ee gg fc ead a fac a caf a dae cd gg ee ead g fac acaf ae ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4fc840ff b,#5551f3ff c,#1ab806ff d,#8e8cf6ff e,#cbeec7ff f,#92dd89ff g,#c7c6faff ``` ```image f fca ccc ccc acce ecca ccc ccc acce ecca ccc ccc acce ecca ccc ccc fcccf fcccccca eaccccccccf eaccccccccf eaccccccccf fccccccccae fccccccccae fccccccccae eaccccccccf eaccccccccf ccccccccf acccccae fcccce ccccf acccc fcccce eccccf cccca fcccc eccccf cccca acccc fcccce cccca acccc fcccce eccccf cccca cccce cf dbbdg bbbbbbbbbbddg gbbbbbbbbbbbbbbbbbbdgg bbb gddbbbbbbbbbbbbbbbbdg bbd gdbbbbbbbbbbbbbbbbbdg bb gdbbbbbbbbbbbbbbbbddg dbb ggdbbbbbbbbbbbbbbbbdgg bbd gddbbbbbbbbbbbbbbbbdg bb gdbbbbbbbbbbbbbbbbbdg dbb gdbbbbbbbbbbbbbbbbd bbb ggdbbbbbbbbb bbg gddb gbb bbb bbg bb dbb bbd bb dbb bbb bbg gbb bbb bbg gbb dbb bbd bb dbb gbd ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#f43a4dff b,#a073ddff c,#fbbdc4ff d,#f65d6cff e,#c7acebff f,#f3e1eeff g,#f88f99ff ``` ```image ffee ffeeebbbbbbbbbbbbf ffeeebbbbbbbbbbbbbbeeff ffeeebbbbbbbbbbbbbbeeff ffeeebbbbbbbbbbbbbbeeff ebbbbbbbbbbbbeeff ebeff bbf bb bb fbb ebe ebe bbf bb bb fbb fbe faf ebe gad bbf aac bb caa b dag faaf gad aac caa dag faaf gad aac caa dag aaf gad aac faa dad aaf caa dac faa gad gf aaf faaaf caa ad daaf dag ga daaf faa ac daaf gad da daaf aac faf daacaa ad dag ga ac aa fa ad ga ac aa ca ag ga ac aa ca ag da af aa ca ag da af ad ca ag da faf ad ga ag ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#119947ff b,#e520fcff c,#93c997ff d,#f7bcfeff e,#4bb171ff f,#b1d7b2ff g,#de68ecff ``` ```image f faaf aa a eaf ee cae a faa fa aa ac eac a cae ca aa af aaf a eac ea fae af aa a aaf ee eac a fae fa aa ac eaf a cae ca faa af aa a eaf ea cae af faa a a ee a fa ac a ca af a cffffffeafffffffffffffffffffc cfffffffacffffffffffffffffffc cfffffffcaffffffffffffffffffc cffffffffaefffffffffffffffffc cfffbgffffacffffffffffffffffc cfffbbffffcaffffffffffffffffc cfffbfbffffaefffffffffffffffc cffggfgbffffafffffffffffffffc cffggffbgfffeaffffffffffffffc cffbffffbffffaefffffffffffffc cffbfffffbffffafffffffffffffc cffbfffffgbfffeaffffffffffffc cffbffffffbgfffacfffffffffffc cffbfffffffbgffcafffffffffffc cffbffffffffbfffaeffffffffffc gb cfggfffffffffbfffacfffffffffc bb cfggfffffffffgbffcafffffffffc bdb cfbfffffffffffbgffaeffffffffc b bg cfbffffffffffffbfffaffffffffc b b cfbfffffffffffffbffeafffffffc db gb cfbfffffffffffffgbffaeffffffc gg bd cfbffffffffffffffbgffaffffffc bd b cfbfffffffffffffffbgfeafffffc b bg cggffffffffffffffffbffacffffc b b cggfffffffffffffffffbfcaffffc b db cbffffffffffffffffffgbfaefffc b bd cbfffffffffffffffffffbgfafffc db b cbffffffffffffffffffffbfffffc gg gb cbfffffffffffffffffffffbffffc bd bd cbfffffffffffffffffffffgbfffc b db cbffffffffffffffffffffffbfffc d b bg gbffffffffffffffffffffffffffc bbg b b ggffffffffffffffffffffffffffc gbbd db db bfffffffffffffffffffffffffffc dbbg dg bd bcccccccccccccccccccccccccccf gbbd gd b b dbbg b ggb gbbd b bb dbbg b db gbbd b dbbg db gbbd gg dbbg bd gbbd b dbbg b gbbdb dbb ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#109947ff b,#e620fdff c,#80c99dff d,#f6b7feff e,#42ae6dff f,#c5e6d2ff g,#ed66fdff ``` ```image eae faaf caa aac faaf eae faac caaf eae dbg faac gbbd caa gbbbd eae bbbbb faaf bbdbbg caa dbb dbbd aac dbb gbbd faaf dbg gbb eae gbg bbg faac gbg dbbg caaf gbd dbbd eae bbd gbbd faac bb gbb caa dbb bbg eae dbb dbbd faaf dbg gbbd caa gbg gbb aac gbg bbg faaf gbd dbbg eae bbd dbbd faac bb gbbd caaf dbb gbb eae dbb bbg faac dbg dbbd caa gbg gbbd eae gbg gbb faaf gbd bbg caa bbd dbbg aac bb dbbd faaf dbb gbbd eae dbb gbb faac dbg bbg caaf gbg dbbd eae gbg gbbd faac gbd gbb caa bbd bbg eae bb dbbg faaf dbb dbbd caa dbb gbbd aac dbg gbb faaf gbg bbg eae gbg dbbd faac gbd gbbd caaf bbd gbb eae bbd bbg faac bb dbbg caa dbb dbbd ef dbg gbbd gbg gbb gbg bbg gbd dbbd bbd dbbd bbd gbb bb gd dbb dbg gbg gbg gbd bbd bbd ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#109947ff b,#e620fdff c,#8acda4ff d,#f7befeff e,#4ab273ff f,#ceead9ff g,#ed68fdff ``` ```image f faaf aaffa eac ee cae af faa fa aaf ac eac a cae ca faa ac aaf a eac ea cae af faa fa aaf ee eac af fae fa aa ac eaf a cae ca faa ac aaf a eac ea cae af faa fa af ee af fa ac a ca ac a ea af fa ee bd af bb fa dbdb ac dg gb a gg bg ca bd bd ac b db a b gb ea b bg af b bd fa db b ee gb dg db af bb gg gb fa bdb bd bg ac b bg b bd a b b b b ca db gb b gb ac gg bd b bg a bd b db bd ea b gg dg b af b b gg db fa b db bd gb ee b bd b bg a db b b bd gg gb b b bd bd b gb b db db g d b bg dg bbg b b gg gbbd db gb bd dbbg dg bd b gbbd gd b b dbbg bd ggb gbbd b bb dbbg b db gbbd b dbbg db gbbd gg dbbg bd gbbd b dbbg b gbbdb dbb ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bd687fff b,#2033bfff c,#c4c9edff d,#848fdbff e,#cf92a3ff f,#e5c5ceff g,#4858caff ``` ```image c cbbbb bbbbbbbg gbbbbbbbbbbg dbbbbbg bbbbbbd cbbbbbb cbbbbbbd bbbbbbc cbbbbbbd gbbbbbd cbbbbbbc dbbbbbg dbbbbbbc cbbbbbb dbbbbbb bbbbbbc gbbbbbb gbbbbbd gbbbbbg dbbbbbg bbbbbbg cbbbbbb bbbbbbd bbbbbbc cbbbb gbbbbbd cbg dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg bbbbbb bbbbc cbd af aaa faaaa aaaaae faaaaaa aaafaaaa eaaa aaaf aaaf aaaa eaaa aaae aaaf faaa eaaa aaaa aaaf aaaf eaaa eaaa aaaf aaae faaaaaaeef eaaa faaa aaaaaaaaaaaaaaaa aaaf aaaa aaaaaaaaaaaaaaaaa aaaa aaaf faaaae ffeaaaaaa aaa eaaa aaaaaf aaaa aaaa eaaaaa aaa faaaf faaaaaaa aaaa aaaa aaaaaaaaf aaa aaae eaaaaaaaaf aaaa faaa faaaaaaaaf aaa aaaa eaaaaaaae aaaa aaaf faaaaaaaaf faaa eaaa faaaaaaaae aaae aaae eaaaaaaaa faaa faaaaaaaaaaf aaae aaaaaaae faaa aaaaf aaae f faaa aaae faaa aaae faaa aaaf eaaa aaaf eaa f ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#1fdd28ff b,#f9c299ff c,#54e35bff d,#b1d8afff e,#f19449ff f,#edf5e8ff g,#90d992ff ``` ```image fffffffffffffff gddddddddddddddgf gdddddddddddddddf geddddddddddddddf gdedddddddddddddf gdedddddddddddddf gddeddddddddddddf gddeddddddddddddf gdddedddddddddddf gaddedddddddddddf gcgddeddddddddddf gdaddeddddddddddf gdadddedddddddddf gdcgddedddddddddf gddadddeddddddddf gddadddeddddddddf gddcgdddedddddddf gddgcdddedddddddf gdddaddddeddddddf gdddaddddeddddddf gdddgcddddedddddf gddddaddddeeddddf gddddaddddddeeeef gddddgcdddddddddeeeb gdddddaddddddddgf beeef fffffafffffffff fbeeb gd feeeb a beebf a fbeeb gd beeeb a beebf a feeeb cf beeef fc beeb a feeeb cf beeef fc fbeeb a feeeb a beebf dg fbeeb a beee a dg a a gd a a cd a a cf fc a cf fc a a dg a a gg a a gd a a cf fc a cf fc a a dc a a dg aaaaacccgddff ffddggccaaaaaaaaaacccggdff ffddggccaaaaaaaaaacccggdff ffddggccaaaaaa ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#21dd2aff b,#f7a96dff c,#59e55fff d,#c2f5c5ff e,#f58c3dff f,#fbe1ccff g,#86ec8bff ``` ```image f eb bef feb bef feb bef feb bef feb bef feb bef feb ac bef aa feb gad bef dac feb aa bef gad feb dag bef aa feb cad bef dag feb aa bef cad feb gag bef ac feb ca bef gag feb dac bef ca feb gad bef dac feb aa bef gad feb dac bef aa feb gad bebbf dag fbeeeebff aa fbeeeeeb cad ffbee dag f ac cad ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#20dd28ff b,#f7af78ff c,#57e55eff d,#c8f6caff e,#f58e40ff f,#fbd9c0ff g,#91ee95ff ``` ```image bf e bf e bf e a bf gd e a bf a e cd bf a e a bf c e dc bf a e a bf dc e a bbf a beeb gg fbeef a feebf a beeb gg feeef a feebf a beeb gd feeef a beeb a fbeef cd feebf c beeb a fbeef c feebf dc beeb a feeef a feebf dg beeb a feee a gg a a gg a a cd a a cd c a c dc a a dg a a gg a a gd a a cd c a c dc a a dc a a gg aaaaacccggdd ddgggccaaaaaaaaaacccggdd ddgggccaaaaaaaaaaaccggddd ddgggccaaaaaa ``` <!-- 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,#43856bff b,#22be5dff c,#90c7a0ff d,#6fa28dff e,#e3f1e8ff f,#55cb81ff g,#afd6b3ff ``` ```image e eaad ddg daaaa aaa aaaaaa aaa eaaaaaaag aaa caaaaeeaaa aaa aaaaa aaa eaad eaaaad aaae caag gaaaag gaad daae daaaa aaa aaa aaaad aaa aaa eaaaag daag aaa daaaae eaaa aaa aaaaa aaa eaad eaaaac aaae gaag caaaae gaad daae aaaaa aaa aaa eaaaad aaa aaa gaaaag daag aaa daaaa eaaa aaa aaaad aaa eaad gaaaag aaa gaac daaaae caac daae aaaaa aaa aaa eaaaac eeeaaaeeaaaeeee caaaae ecggaaacgaaaggggc aaaaa egggcaaagaaaggggc eaaaad eggggaaagaaaggggc gaaaae eggggaaacaadggggc aaaaa eggggdaaaaacggggc aaaad egggggaaaaagggggc gaaaag egggggaaaaagggggc daaaa egggggaaaaagggggc aaaaa egggggcaaaagggggc eaaaac eggggggaaaagcbfgc daaaae eggggggaaadbbbbgc aaaaa eggggggdabbbbbbcc eaaaad eggggggbbbbbbcggc caaaae eggggfbbbbbfggggc aaaaa eggfbbbbbfggggggc aaaad efbbbbbbggggggggc gaaaag ebbbbbbeeeeeeeeee daaaa ebbbbbbe aaaaa bbbbbbe eaaaac fbbbbbg daaaae fbbbbbc aaaaa cbbbbbf eaaaac gbbbbbf caaaae ebbbbbb aaaaa ebbbbbbe eaaaad bbbbbbe aaaag fbbbbbg caa fbbbbbc d cbbbbbf gbbbbbf ebbbbbb ebbbbbbe bbbbbbe fbbbbbg fbbbbbc cbbbbbf gbbbbbf ebbbbbb ebbbbbbe fbbbbbe gbbbbbg bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbbe bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbg gbb e ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#43856bff b,#21bd5dff c,#8ec5a9ff d,#6fa18dff e,#d9ede2ff f,#52cc80ff g,#b9d9c9ff ``` ```image gaaaaad eaaaaad eaaaaaa gaaaaac daaaaag caaaaag caaaaac caaaaag eaaaaad daaaaae aaaaaae aaaaaa daaaaag aaaaaa gaaaaadeaaaaad eaaaaaagaaaaac daaaaadaaaaac caaaaaaaaaaag gaaaaaaaaaaae aaaaaaaaaaa daaaaaaaaaa gaaaaaaaaad eaaaaaaaaac aaaaaaaaac caaaaaaaag gaaaaaaaae aaaaaaaa gfe daaaaaaa efbbf caaaaaad efbbbbbg eaaaaaadcbbbbbbbf aaaaabbbbbbbbbbbg caaabbbbbbbbbbbfe gabbbbbbbbbbbfg gfbbbbbbbbbbfg efbbbbbbbbbbbc efbbbbbbbbbbbc ecbbbbbbbbbbbce cbbbbbbbbbbbfe cbbbbbbbbbbbfe ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#43856bff b,#21be5dff c,#8fc5a9ff d,#6fa18eff e,#d9ece2ff f,#55cc82ff g,#b1d8c4ff ``` ```image e eaad ddg daaaa aaa aaaaaa aaa eaaaaaaac aaa caaaae aaa aaa aaaaa aaa eaad aaaad aaae caag gaaaag gaad daae daaaa aaa aaa aaaad aaa aaa eaaaag daag aaa daaaae eaaa aaa aaaaa aaa eaad eaaaac aaae gaac caaaae gaad daae aaaaa aaa aaa eaaaad aaa aaa gaaaag daag aaa daaaa eaaa aaa aaaad aaa eaad gaaaag aaa gaac daaaa caac daae aaaaa aaa aaa eaaaac aaa aaa caaaae daag aaa aaaaa eaad aaa eaaaad aaa aaa caaaae aaagaac aaaaa caaaaag aaaad aaaaa gaaaag aaaaa daaaa aaaaa aaaaa gaaaa eaaaac aaaa ebf daaaae aaadbbbb aaaaa cabbbbbbe eaaaad fbbbbbg caaaae fbbbbbc aaaaa cbbbbbf aaaad gbbbbbf gaaaag ebbbbbb daaaa ebbbbbbe aaaaa bbbbbbe eaaaac fbbbbbg daaaae fbbbbbc aaaaa cbbbbbf eaaaac gbbbbbf caaaae ebbbbbb aaaaa ebbbbbbe aaaad bbbbbbe aaaag fbbbbbg caa fbbbbbc d cbbbbbf gbbbbbf ebbbbbb ebbbbbbe bbbbbbe fbbbbbg fbbbbbc cbbbbbf gbbbbbf ebbbbbb bbbbbbe fbbbbbe gbbbbbg bbbbbc cbbbbb bbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbg gbb e ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5a9e0eff b,#440c03ff c,#bbc99eff d,#683b34ff e,#dde2cfff f,#977974ff g,#97c167ff ``` ```image ebf bbd bbb bbb bbb bbb dbb dbb fbbe fbbc cbbf ebbf ebbd bbd bbb bbb bbb bbb dbb dbbe fbbe cbbc ebbf ebbd bbd bf bbb dbbb bbb cbbbf bbb dbbb bbb cbbbf bbb dbbb bbb ebbbf bbb dbbb bbb ebbbf bbb dbbb bbb ebbbf ebbb dbbb ebbb ebbbf ebbd dbbb ebbd ebbbf cbbd dbbb cbbd ebbbf cbbd dbbb fbbf c ebbbf fbbf eaac dbbb fbbf caaaac ebbbf dbbc caaaac dbbb dbbc caaaac ebbbbbc caaaac dbbe eaaaac e eag eaaaac cag eaaaac gag eaaaac aac eaaaac aae eaaaac aa eaaaac aa eaaaac aa eaaaag aa eaaaag eaa eaaaag caa eaaaag gag eaaaag gac eaaaag aae eaaaag aa eaaaag aa eaaaag aa eaaaag aa eaaaag aa eaaaag eaa eaaaag cag eaaaag gag eaaaag aac eaaaag aae eaaaag aa eaaaaage aa eaaaaaaae aa gaaaaaac aa gaaaaaag eaa caaaaaaaa eaaaag eg ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#326477ff b,#08a28aff c,#9bc1c3ff d,#cde4e3ff e,#7596a3ff f,#59c0b0ff g,#517b8bff ``` ```image dddddddddddddddddddddddddddddddd dfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbfffffffffffffffffffffffffffffff cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbf cbbbbbbbbbbbf cbbbbbbbbbbbfd dfbbbbbbbbbbfd dfbbbbbbbbbbfd fbbbbbbbbbbfd bbbbbbbfd fbbfd ce gag daag aaaa eaaae eaaaaad aaaaad aaaaaaae aaaaaa gg aaaaa daaggaaa eaaaa gaad aaaa daaaac aaa aaag aaaag aaa daaac gaaaa caae caaad caaaad gaad gaaa aaaae aaa aaaa aaaaa aaa aaaa eaaaad caae aaae daaaac aaa daaac aaaag aaa eaaa gaaaa aaa gaaa caaaad eaac aaaa aaaae aaa aaag aaaaa aaa daaac eaaaad daaa caaad daaaac eaac eaaa aaaag aaa aaaa gaaaa aaa aaaa caaaad daag aaae aaaaeeaac daaac aaaaaaa eaaad eaaaaa gaaa daaag aaaa aa aaag daaae caaad eaaa aaaa aaaa aaag daaac caaad gaaa aaaa aaag aaae daaad eaaa gaaa aaaa aaag daaac cag c ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#0df01eff b,#d47af3ff c,#92f79aff d,#4ef35bff e,#e2a6f6ff f,#cdfbd0ff g,#f2d7fbff ``` ```image bg gbbb ebbe bbb ebbe bbbg gbbb ebbe bbb ebbe bbbg gbbb ebbg bbb ebbe bbbg gbbb ebbg bbb b ebbe bbe bbbg gbbg gbbb ebb bbe bbb bb bbe bb gbbg eb ebb gbg bbb be bbe bb gbbg bb ebb eb bbb gbg bbe be gbbg bb ebb bb bbb eb bbe gb gbbg bg ebb bb bbb bb bbe bb gbbg gb ebb bg bbb be bbe bb gbbg bb ebb eb bbb ac gbg bbe aaf begbbg cad bbbb aa bbb aa g cad aa aa cac aa aa dac aa aa dac aa aa dac faa aa daf faa aa daf fad aa aaf fad aa aaf cad aa aaaaaaaaaaaaaaaaaaaaadddddddddddddddccccccccccccccfffffffaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad ffffff ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d24cadff b,#a26f69ff c,#dac6c3ff d,#ebb2dbff e,#df81c5ff f,#bf9c98ff g,#f3e4ebff ``` ```image eae daaaaa daaaaeaaa gaaaad gaaad aaaae aaae eaaaa eaaa eaaaa daaag daaaag gaaad gaaaad aaae aaaae eaaa aaaae gaaag eaaaa aaae daaaag aaaa gaaaad daaa gaaaad gaaad aaaae aaae eaaaa eaaa eaaaag daaag daaaag aaad gaaaad aaaa daae eaaa a gaaag aaae aaaa daaa gaaad aaae eaaa daaag aaad aaaa eaaa gaaag aaae aaaa daaa gad fbc gbbb bbbbc fbbcbb gbbc bbf bbb cbb fbb bbf gbbc cbb gfc bbb bbf fbbbb bbb cbb cbbbbbbg gbbg bbf gbbbbbbc bbf cbb fbbbbbf bbb bbf cbbbbbbg cbbg gbb gbbbbbbc bbf bbb fbbbbbf bbb gbb cbbbbbbg cbbg bbb gbbbbbbc bbf gbb fbbbbbf bbb bbb cbbbbbbg cbb gbbg gbbbbbbc gbf bbb fbbbbbf bbg ggccbbbbbbg bbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbf cffcccgg ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#2c76b6ff b,#a55594ff c,#9bbedcff d,#8c2375ff e,#5f97c7ff f,#c490b9ff g,#ddd9e8ff ``` ```image c ga ag ea a ac ca a ac ca a ac ca a ae ga ag ac ee ae ga aa ag aa ea ea a ca ac cag ca gag a ac ac ae ca ae a aa ae ea ga ea ag cag ee gag ga ac ag ae ee ae ga aa ag ea ea d ea a fd ca ac dg gag ca gd gac a df ac ac d ae ca bb aa a d aa ae fd ea ga dg ca ag gd cag ee df gag ga d ac ag bb ae ea g d ae a gdd fd aa ac gddg df ea ca gddg gd eaa gddg bb cc gddg d fddg fd fddg dg fddg gd fddg df fdd d fdd bb fdd d fdd fd fdd dg fdd gd fdb df bdb d bdb bd bdb dg bdb gd bdb df bdb d bdb bb bdb d bdb fd bdf dgddf gdf ``` <!-- end of image -->	[ "" ]
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,#3d3ee2ff b,#8560deff c,#cac5f4ff d,#b1d7b1ff e,#9496ceff f,#eef3f2ff g,#96c997ff ``` ```image ffffffffffffffffffffffffffffffffffffffffffffffffffff cbc fgddddddddddddddddddddddddddddddddddddddddddddddddddgf bbbb fddddddddddddddddddddddddddddddddddddddddddddddddddddf fbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf ebbbf fddddddddddddddddddddddddddddddddddddddddddddddddddddf bbbe fddddddddddddddddddddddddddddddddddddddddddddddddddddf cbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf bbbb fddddddddddddddddddddddddddddddddddddddddddddddddddddf fbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf ebbb fbbbeeddddddddddddddddddddddddddddddddddddddddddddddddf fbbbe caaabbbbbbbbeeddddddddddddddddddddddddddddddddddddddddf cbbbf aaaaaabbbbbbbbbbbbbeeddddddddddddddddddddddddddddddddf bbbb aaeaaaaabeebbbbbbbbbbbbbbbbeeddddddddddddddddddddddddf cbbbc aadddaaaaaaedddddeebbbbbbbbbbbbbbbbedddddddddddddddddf bbbb aadddddeaaaaaaeddddddddddeebbbbbbbbbbbbbbbeedddddddddf fbbbe aaddddddddeaaaaabddddddddddddddddeebbbbbbbbbbbbbbbeegf ebbbf aadddddddddddbaaaaaedddddddddddddddddddddeebbbbbbbbbbbbbbbbb aadddddddddddddeaaaaaaeddddddddddddddddddddddddddeebbbbbbbc aaddddddddddddddddeaaaaaaddddddddddddddddddddddddddddf c aadddddddddddddddddddbaaaaabdddddddddddddddddddddddddf aaddddddddddddddddddddddaaaaaaeddddddddddddddddddddddf aaddddddddddddddddddddddddeaaaaaaddddddddddddddddddddf aadddddddddddddddddddddddddddbaaaaabdddddddddddddddddf aaddddddddddddddddddddddddddddddaaaaaaeddddddddddddddf aaddddddddddddddddddddddddddddddddeaaaaaaddddddddddddf aadddddddddddddddddddddddddddddddddddeaaaaabdddddddddf aaggggggggggggggggggggggggggggggggggggggaaaaaaeggggggf aa caaaaaac aa eaaaaabf aa baaaaae aa caaaaaac aa caaaaabf aa baaaaae aa faaaaaac aa caaaaaaf aa eaaaaab aa fbaaaaac aa caaaaaac aa eaaaaab aa fbaaaaa aa caab aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa faa faa faa faa faa faa faa faa faa faa faa caa caa caa caa caa caa caa caa caa caa caa caa caa cbb ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#3e3de3ff b,#885ddfff c,#cbc0f3ff d,#b3a3eeff e,#9884e8ff f,#e6e1f9ff g,#6866e8ff ``` ```image cff bbbbbeddcff gaagbbbbbbbbbeddcff aaaaaagbbbbbbbbbbbbbeedccff aaaaaaaaagbbbbbbbbbbbbbbbbbbeedccf aaaaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaaaaaaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddccf aaaaeaaaaaaaaaaagdccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag ceaaaaaaaaaaaef fccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag fdgaaaaaaaaaagdf ffccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag feaaaaaaaaaaagc ffccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbeeddcff aaag ceaaaaaaaaaaaec ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccff aaag dgaaaaaaaaaagdf ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaag fdgaaaaaaaaaagd ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaag ceaaaaaaaaaaaec fccddebbbbbbbbbbbbbbbbbbbbbbbbbbb aaag cgaaaaaaaaaagef fccdeebbbbbbbbbbbbbbbbbbb aaag fdgaaaaaaaaaagd fccdeebbbbbbbbbbb aaag feaaaaaaaaaaaec ffccdeebbb aaag cgaaaaaaaaaaaef ff aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaef aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaec aaag dgaaaaaaaaaagdf aaag fdgaaaaaaaaaagd aaag ceaaaaaaaaaaaec aaag cgaaaaaaaaaagef aaag fdgaaaaaaaaaagd aaag feaaaaaaaaaaaec aaag cgaaaaaaaaaaaef aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaef ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#3d3de3ff b,#885ddfff c,#cdc7f5ff d,#b7a8eeff e,#9b88e9ff f,#e6e3f9ff g,#6c6be8ff ``` ```image cbd bbbb fbbbd ebbb bbbe dbbbf bbbb fbbbd ebbb fbbbdcf bbbe caaagbbbbbbedcf dbbbf aaaaaabbbbbbbbbbbbedc bbbb aaeaaaaagcdebbbbbbbbbbbbbbedc cbbbc aa fgaaaaad fcdebbbbbbbbbbbbbbedf ebbb aa caaaaaac fcdbbbbbbbbbbbbbbbedf fbbbe aa eaaaaag fcebbbbbbbbbbbbbbbecf dbbbf aa gaaaaae fcebbbbbbbbbbbbbbbbb aa caaaaaac fdebbbbbbbc aa daaaaagf f aa gaaaaae aa faaaaaac aa daaaaagf aa eaaaaae aa fgaaaaad aa caaaaaaf aa eaaaaag aa gaaaaad aa caaaaaac aa eaaaaag aa gaaaaae aa caaaaaac aa daaaaagf aa gaaaaae aa faaaaaad aa daaaaagf aa eaaaaae aa fgaaaaad aa caaaaaaf aa eaaaaag aa gaaaaa aa caag aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa faa faa faa faa faa faa faa faa faa faa faa faa caa caa caa caa caa caa caa caa caa caa cgg ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#086203ff b,#bdda6cff c,#b1d6b0ff d,#8cbf8cff e,#edf5e5ff f,#d8e9aaff g,#53934fff ``` ```image bf bf bb bb bb bb bb bb bb bb fb fb fbe ebe ebe bf bf bf e bb fbf bb bbb bb bbb bb fbbf bb bbbe bb bbb bb ebbf fb fbbe fb bbb fb ebbf fbe fbbe ebe bbb ebf bbb bf fbbf bf bbb bb bbb bb eeeeeeeefbbfeee bb ecccccccbbbdccccd bb eccccccbbbaaccccd bb ecccccbbbgaaacccd gc bb ecccbbbccaaaadccd ead bb fb eccbbbccaadcaaccd dae bb bb ecbbbcccaaccgagcd aa fb bb fbbccccaaccccaacd aa fb bbe bbbccccdaaccccdaad aa fb bbe bbbcccccaaccccccaad ag ebe bbf ebbfeccccdagcccccccaa cac ebe ebbf bbbe eccccaaccccccccaac ga bf fbbb bbb ecccgagcccccccccaa aa bf fbbb ebbf ecccaaccccccccccgag aa bf bbbb fbbe eccaadccccccccccdaa ag bb bbbb bbb eccaacccccccccccdfaa ead bb bbbb ebbf ecaaccccccccccccd aae dae bb bbbb fbbe edaaccccccccccccd aa aa bb bbfb bbb eaacccccccccccccd gac aa bb bffb bbb dagcccccccccccccd aa aa bb ebeebe fbbf aaddddddddddddddc dag ag bb fbeebf bbb gad aa cac bb fb bf bbb aa eaa ga fb bb bb ebbf gac aae aa fb bb bb fbbe aa aa aa fbebb bb bbb aae gad ag ebebb bb ebbf eaa aaead ebfbf bb fbbe aa caaae bfbf bb bbb cag aaa bbbe fb ebbb aa eaa bbb fb fbbf gad dd bbb ebe bbb aa bbb ebe bbb gac bbb bf ebbf aa bbb bffbbe aae eeebbbeeeebbbbe eaa dcccbbbccccbbbcce aa dcccbbcccccccccce dag dcccbbcccccccccce aa dcccbbcccccccccce gad dccccccccccccccce aa dccccccccccccccce gac dccccccccccccccce eaa dccccccccccccccce aae ddddddddddddddddcccccccccccccccccccaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gdddddddddddddddccccccccccccccccccce dccccccccccccccce dccccccccccccccce ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#056101ff b,#bdda6bff c,#b7d1b5ff d,#c1d8c0ff e,#e8f2cdff f,#d2e59bff g,#257420ff ``` ```image bbbbb fbbbbbbbe bbbbf fbbbbbbe bbbbf ebbbbf bbbbf ebbbe bbbbe efe fbbbe fbbbe fbbb fbbb ebbf ee ddddddddddddddddddddddddddddddd gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa dcccccccccccccccccccccccccccccc ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Okay, on to the next area of interest. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#076102ff b,#beda6dff c,#cbdfb4ff d,#639c5dff e,#e4eedbff f,#99be95ff g,#2f7a2bff ``` ```image cbbbbbe bbbbbbc ebbbbbdaac cbbbbbfaaag cbbbbbeaaaaaf ebbbbbc daaaaaae ebbbbbc eaaaaaaad cbbbbbe daaafgaaac ebbbbbc caaag caaag ebbbbbc gaaac gaaaf cbbbbbe faaad eaaag bbbbbb gaaae daaaf ebbbbbc faaad eaaaae cbbbbbe eaaaae faaad bbbbbe daaaf gaaac bbbc eaaag caaag bbe daaaf daaa be caaag eaaa gaaac daa faaad ga gaaae fa faaad g eaaaae c daaaf eaaag daaaf caaag gaaac faaad gaaae faaad eaaaae daaaf eaaag daaaf caaag gaaac faaad gaaae ``` <!-- end of image --> Hmm, it seems there's no intersection in area B after all. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#066101ff b,#bdda6bff c,#bad3b9ff d,#7bab78ff e,#e8f1d4ff f,#d3e69dff g,#388034ff ``` ```image bf bf bb bb bb bb bb bb bb fb fb fb eb ebe ebe bf bf bf bb fbf bb bbb bb bbb bb ebbe bb bbb bb bbb bb ebbf fb fbbe fb bbb fb ebbf ebe fbbe ebe bbb be bbb bf ebbe bf bbb bf bbb bb ebbf bb fbbc bb bbbaa bb ebbfdaaa dc bb fbbe aagac ead bb fb bbb gac aa dae bb bb bbf aa dad ga fb bb fbbe aae aa aa fb bbe bbb eag cag aa eb bbe bbb aa aa ad ebe bbf ebbf cag aa cac ebe ebbf fbb aa gac ga be ebbb bbb dad aa aa bf fbbb ebbf aa dad aa bf bbbb fbbe gac aa ag bb bbbb bbb aa eag ead bb bbbb bbf aae aae dae bb bbfb fbbe eag aa ga bb bffb bbb aa gac aa bb bfeb bbb cag aa aa bb ebeebe ebbe aa cag ad bb eb be bbb dad aa cac fb fb bf bbb aa eaa ga fb bb bf ebbf gac gae aa fb bb bb fbbe aa aa aa eb bb bb bbb aae dad ag ebebb bb ebbf eag aaead ebebf bb fbbe aa caaae bfbf bb bbb cag aaa bbbe fb bbb aa eaa bbb fb ebbe dad dd bbb ebe bbb aa bbb ebe bbb gac bbb bf ebbf aa bbb bffbb aae bbb bbbb eag bbf bbf aa bbe ee cag fbe aa fb dad e aa gac aa aae cccccccccccccccccccccccccccccccccccag aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ccccccccccccccccccccccccccccccccccce ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a38ae5ff b,#d1168dff c,#e3d6f3ff d,#e375bbff e,#efb0d8ff f,#da45a4ff g,#bdacecff ``` ```image c aa gag caaa aaaa caaaac aaaa gaaaaag aaag gaaa gaa caaac aaaa caa caaac aaag aa gaaa aaag aac aaaa aaac aag aaaa aaac aaa aaag a gaa caaac caa gaaa aa gaaa aac aaaa aag aaag gaa aaag caa caaac aa gaaa aac aaaa aag aaaa aaa aaag gaa caaac caa caaac aa gaaa aac aaaa aag aaaa gaa aaag caa caaac aa gaaa aac gaaa aag aaaa aaa aaag gaa aaag caa caaac aa gaaa aac aaaa aag aaaa aaa aaag caa caaac aa caaac aac gaaa aag aaaa aaa aaaa gaa aaag caa caaac aa gaaa aac gaaa aag aaaa aaa aaag caa aaag aaaaac aaaa aaa g ebf bbb bbd dc bb bbb dbb cbbd bbb fbb bbe bbb bb ebb ebbe bbbbe bbb bbb cbbbbbbf bbd bbb fbbbc bbbb bb dbbe dbbbbb fbbbe dbb bbb ebbbbbbf ebbbf bbf bbf cfbbbbbbc bbbb bbe fbbc dbbbbbbe fbbbe ebb bbb dbbbbbbd ebbbf bbb cbbd ebbbbbbf bbbb bbd fbb fbbbbbbe fbbbe bb bbb dbbbbbbd ebbbf dbb ebbe ebbbbbbd bbbbbbf bbb cbbbbbbfc fbbbbe bbb fbbbbbbe ebbb dbbe dbbbbbbd bf bbb ebbbbbbf bbbbbbbbe fbbbbe fd ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#235e23ff b,#1ae2b5ff c,#a6bea6ff d,#739873ff e,#70ecd0ff f,#caebe0ff g,#487948ff ``` ```image ebb ebbf bbb bbb fbbe ebb bbb bbe ebbf bbb bbb eb fbbe ebbbbf bbb bbbbbbbb bbb ebbbbbb fbb bbe fbbbbbbf bbf ebbf ebbbbbe bbb bbb fbbbbbbf ebb bbb ebbbbbe bb fbbf fbbbbbbf bbe bbb ebbbbbe ebb bbb fbbbbbbf bb fbbe bbbbbbe bbe ebb ebbbbbb ebb bbb fbbbbbbe bf bbb ebbbbbe ebbf fbbbbbbf bbb ebbbbbe bbb fbbbbbbf fbbe ebbbbbe bbb fbbbbbbf bbb ebbbbbe fac bbbbbbb gaag ebbbe aaaaa f aagaaac aac aaag aac gaaaf aaf caaad aa aaaa aa gaaaf aa caaad faa aaaa caa gaaaf daa caaad gaa aaaa gag gaaaf aad faaad aac aaaa aac daaaf aaf faaad aa aaaa fcdd aa daaaf fcdaaaaaaaa aa faaag fcgaaaaaaaaaaaaaag faa aaaa fdgaaaaaaaaaaaaaagcf caa daaac cdgaaaaaaaaaaaaaadcf daa faaag fcdaaaaaaaaaaaaaaadcf daa aaaaaaaaaaaaaaaagdc gag daaaaaaagdf aad fcf aad aac aaf aa aa aa faa caa caa daa gag aad aad aac aaf aa aa aa faa caa caa cga ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#44ec88ff b,#6ea02cff c,#c0f0cbff d,#b3cd91ff e,#7af1aaff f,#e5f7e7ff g,#90b75fff ``` ```image eaeeccf eaaaaaaaaaaaaaaeeccf faa fcceeaaaaaaaaaaaaaaaaaeeccf aa fcceeaaaaaaaaaaaaaae aaf fcceeaac aae eaa caa aa aaf aac eae caa faa aaf aac eae caa faa aa aac aae eaa faa aa aaf aae eaa caa aa aaf aac eae bg caa dbc faa bb aaf bg aac gbf eae bb caa fbg faa gb aa bb aac cbd aae bb eaa bb faa dbd aa bb aaf bb aae dbc eaa bb caa bg aa gbf aaf bb aac fbg eae gb caa bb faa cbd aaf bb ac fgbb cbbbbbc dbbbbbd gbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbg dbbbbbd fgbbbbbc cgbbbbgf bbbgf d ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#9ec31fff b,#ed491aff c,#c1d775ff d,#f6a48cff e,#e9764fff f,#add5adff g,#e6e8beff ``` ```image gag aaaa aaaag aaaa gg aaaa aaag caaac aaag aaaa aaac aaaag aaac gaaaa aaaa aaaa aaaa caaac caaa aaaa caaa aaaa caaa gaaac gaaa aaaa gaaa aaaag aaa aaaa aaa aaaa aaag caaac aaac aaaa aaac aaaag aaac gaaaa aaaa gag aaaa aaaa aaag caaag caaa caaaag aaaa caaa aaaaaag aaaa gaaa aaaaaaag gaaac gaaa gaaacaaaag aaaa aaa aaaa caaaag aaaag aaa aaac caaaag aaaa aaag aaa caaaag aaaa aaag caaa caaaag caaac aaac aaaa caaaag aaaa aaac aaag caaaag aaaag aaaa gaaa caaaag gaaaa aaaa aaaa caaaag aaaa aaaa aaac caaaag caaag caaa gaaa caaaag aaaa caaa caaa caaaag gcaaaa gaaa aaaa caaaag gcaaaaaaaac gaaa aaag caaaag caaaaaaaaaaaaa aaa caaa caaaag caaaaaaaaaaaaaaaac aaa aaaa caaaaaaaaaaaaaaaaaaacg aaag aaac caaaaaaaaaaaaacg aaag gaaa caaaaaaacg aaac aaaa gaag aaac aaaa aaaa aaag aaaacaaa caaaaaaa caaaaaac gaaaaaa gaaaaaa gaaaaac fffffaaaaaffffff fffffaaaaaffffff ffeffaaaaaffffff febbfaaaacffffff cbbbbaaaafffffff fbbbbaaaafffffff ffebbaaaafffffff fffcbbaabeffffff fffffbbbbbbfffff ffffffebbbbbefff ffffffffbbbbbbff fffffffffebbbbbc ffffffffffcbbbbbe ffffffffffffbbbbbb fffffffffffffebbbbbd fffffffffffffffbbbbbbbbbed ffffffffffffffffebbbbbbbbbbbbbed gbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbeg debbbbbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbd debbbbbbbbbbbg debbbbb g ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#9fc21eff b,#ed491aff c,#c4d875ff d,#f7b5a2ff e,#f28060ff f,#e95e2bff g,#f7e6d7ff ``` ```image gaaaaaaaaaaac aaaaaaaaaaac aaaaaaaaaaag aaaaaaaaaaa caaaaaaaaac caaaaaaaaag deg caaaaaaaaa gfbfd caaaaaaaac ebbbbe caaaaaaaac dbbbbbbfcaaaaaaaag gbbbbbbbbfaaaaaaaa ebbbbbbbbfaaaaaaac ebbbbbbbfaaaaaaag dbbbbbbbaaaaaaa gebbbbbaaaaaac dbbbbfaaaaafd gfbbbfaaabbbeg ebbbbbbbbbbfd dbbbbbbbbbbbe gebbbbbbbbbbfg dbbbbbbbbbbbd gfbbbbbbbbbbeg ebbbbbbbbbbfd dfbbbbbbbbbbe gebbbbbbbbbbf dbbbbbbbbbb gfbbbbbbbb ebbbbbbb dfbbbbb gebbbb dbbb gfb e ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#9ec21eff b,#ee491aff c,#cbdf88ff d,#f6a993ff e,#f17755ff f,#b4d051ff g,#ebe9c7ff ``` ```image cag aaaa faaag gaaaa gg aaaa aaag caaac aaac aaaa aaac aaaag aaaf gaaaf aaaf aaaa aaaa faaac faaa aaaa caaa aaaa caaa caaaf gaaa aaaa gaaa faaag aaa gaaaa aaag aaaa aaag caaac aaac aaaa aaac aaaag aaaf gaaaf aaaa cag aaaa faaa aaag faaac faaa caaaag aaaa caaa aaaaaag aaaa caaa aaaaaaag caaaf gaaa caaacaaaag aaaa aaa aaaa caaaag faaag aaa aaaf caaaag gaaaa aaag gaaa caaaag aaaa aaag faaa caaaag caaac aaac aaaa caaaag aaaa aaaf aaag caaaag aaaag aaaf caaa caaaag gaaaf aaaa aaaa caaaag aaaa faaa aaac caaaag faaac faaa gaaa caaaag aaaa caaa faaa caaaag gfaaaa gaaa aaaf caaaag gcaaaaaaaaf gaaa aaag caaaag gcaaaaaaaaaaaaa aaa caaa caaaag caaaaaaaaaaaaaaaac aaa aaaa caaaaaaaaaaaaaaaaaaafg aaag aaac caaaaaaaaaaaaafg aaac gaaa caaaaaaafg aaac faaa cafc aaaf aaaf aaaa aaag aaaacaaa faaaaaaa caaaaaac caaaaaa gaaaaaa aaaaaf aaaaag aaaaa e aaaaa ebb aaaac gbbbbaaaa bbbbaaaa ebbaaaf gbbaabe bbbbbb dbbbbbd bbbbbb ebbbbbg gbbbbbe bbbbbb dbbbbbd bbbbbbbbbed ebbbbbbbbbbbbbed gbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbeg gdebbbbbbbbbbbbbbbbbbbed gdebbbbbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbd debbbbbbbbbbbg debbbbb d ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#89942cff b,#5eb7e5ff c,#d3d7b2ff d,#9cd3eeff e,#b2b976ff f,#9ea752ff g,#dcecefff ``` ```image e eaa eaaa eaaa eaaa eaaa eaaa eaaa eaaa eaaa gae faaa faaf faaa aaaaa faaa aaaaaa faaa aacfaaa faaa aag faaa faaa gaa eaaag faaa caa caaag faaa faa caaac faaa aaa gaaae faaa aaf aaae faaa aae aaaf faaa aac aaaa faaa aa aaaa faaa caa faaa faaa eaa faaa faaa faa eaaag faaa caaag faaa caaac faaa gaaae faaa aaaa faaa aaaag faaa faaaf faaa gaaaa faaa aaaae faaa caaaa eaaa aaaac aaa eaaaf aaf gaaaag aae faaae aac g caaaa aa gbbb aaaac caa gbbbbb eaaafeaa bbbbbbbg gaaaaaa bbbbbd bbd faaaa bbbbbd bbd caae bbbbbd bbb c dbbbbd bbb dbbbbb dbb dbbbbb dbb dbbbbb gbb dbbbbb bb gbbbbbg bbg gbbbbbg bbd gbbbbbg bbd gbbbbbg bbb bbbbbd bbb bbbbbd dbb bbbbbd dbb bbbbbd gbb dbbbbb bbg dbbbbb bbg dbbbbb bbd dbbbbb bbb gbbbbbg bbb gbbbbbg bbb gbbbbbg dbb gbbbbbg bbbbbd bbbbbd bbbbbd bbbbbd dbbbbd dbbbbb dbbbbb dbbbbb dbbbbb gbbbbbg gbbbbbg gbbbbbg gbbbbbg bbbbd bd ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#a71256ff b,#573be7ff c,#c2839bff d,#b44877ff e,#8c7fe5ff f,#afd6afff g,#dac8eaff ``` ```image g ggebbbbbb gebbbbbbbbbbbbbb geebbbbbbbbbbbbbbbbbbeeg ffffffffeebbbbbbbbbbbbbbbbbbbeefffffffffff eebbbbbbbbbbbbbbbbbbbeefffffffffffffffffff gebbbbbbbbbbbbbbbbbbeefffffffffffffffffffffffffff ebbbbbbbbbbbbbeeffffffffffffffffffffffffffffffffff bbbbbbegffffffffffffffffffffffffffffffffffffffffff bbbg ffffffffffffffffffffffffffffffffffffffffff bbbe fffffffffffffffffffffffffffffffffffffccfff gbbb ffffffffffffffffffffffffccddaaaaaaaaaaafff bbb fffffffffffccddaaaaaaaaaaaaaaaaaaaaaaaafff bbbe fffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddccfffff ebbb ffaaaaaaaaaaaaaaaaaaddccffffffffffffffffff bbb ffaaaaaddccfffffffffffffffffffffffffffffff bbbg ffaaafffffffffffffffffffffffffffffffffffff ebbe ffaaafffffffffffffffffffffffffffffffffffff gbbb ffaaafffffffffffffffffffffffffffffffffffff bbb ffaaafffffffffffffffffffffffffffffffffffff bbbe ffaaafffffffffffffffffffffffffffffffffffff ebbb ffaaafffffffffffffffffffffffffffffffffffff bbb ffaaafffffffffffffffffffffffffffffffffffff bbbg ffaaafffffffffffffffffffffffffffffffffffff ebbe ffaaafffffffffffffffffffffffffffffffffffff gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa ebbe aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa ebbe aad gbbb aad bbb aad bbbe aad ebbb aad bbb aad bbbg aad ebbe aad gbbb aad bbb aad bbbe aad ebbb aad bbb aac bbbg aac ebbe aac gbbb aac bbb aac bbbe caac ebbb gaaaag bbb gaaaaac eg aaaaac daaaad caaaaa caaaaag gaaaaag aaaaac aaaaad daaaad caaaaa caaaaag gaaaaac aaaaac daaaad daaaaa caaaaa gaaaaag gaaaaac aaaaac daaaad caaaaa caaaaag gaaaaag aaaac gad ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a71256ff b,#573ae8ff c,#d897b4ff d,#bf5586ff e,#b5a8f4ff f,#8570edff g,#e9d1e3ff ``` ```image geeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg ggeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeeg geeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg geeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeegg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeeg bbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg bbbbbbbbbbbbbbbbbbbbffeegg bbbbbbbbbbbbffeeeg bbbbbffeeg egg ggccg gggccccdddaaaaaaaag gggccccdddaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gdaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadddccccggg daaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddccccgg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddcccggg aaaaaaaaaaaaaaaaaaaaaaddddcccggg aaaaaaaaaddddcccggg gaaaaac gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a71357ff b,#573ae8ff c,#da9db9ff d,#c15988ff e,#a99af2ff f,#7c66ecff g,#e0d1eeff ``` ```image g gefbbbbbb gefbbbbbbbbbbbbb gefbbbbbbbbbbbbbbbbbbfeg gefbbbbbbbbbbbbbbbbbbfeg gefbbbbbbbbbbbbbbbbbbfeg efbbbbbbbbbbbbbbbbbbfeg ebbbbbbbbbbbbfeg bbbbbbfeg bbbg fbbf gc gbbb ggcddaaaaaaaaaaa bbb ggcddaaaaaaaaaaaaaaaaaaaaaaaa bbbe aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddccg ebbb aaaaaaaaaaaaaaaaaaddccg bbb aaaaaddccg bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aad ebbb aad bbb aad bbbg aad fbbf aad gbbb aad bbb aad bbbe aad ebbb aad bbb aad bbbg aad fbbf aad gbbb aad bbb aad bbbe caad ebbb caaaac bbb gaaaaac fg aaaaad daaaad daaaaa caaaaag gaaaaac gaaaaac aaaaad daaaaa daaaaa caaaaag gaaaaac aaaaad aaaaad daaaaa caaaaag caaaaag gaaaaac aaaaad daaaad daaaaa caaaaag gaaaaac aaaac gad ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#26e1b1ff b,#a67eeeff c,#95efd8ff d,#c6adf3ff e,#cbf7ecff f,#5ae7c3ff g,#e3d7f9ff ``` ```image ggddd ggdddbbbbbbbbbbbbbbbbb ggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbdddgg gggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg gdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg ggdddggg aaac eaaaaac faaaaaaac eaaaaafaaaac faaaaae eaaaae aaaaaf eaaaae faaaaae eaaaae aaaaaa eaaaae caaaaae eaaaae aaaaaa eaaaae caaaaac eaaaae aaaaaa eaaaf eaaaaac eaf aaaaaa e eaaaaaf faaaaa eaaaaaf faaaaae eaaaaaf faaaaae aaaaaa caaaaae aaaaaa caaaaac aaaaaa caaaaac aaaaaa eaaaaac faaaaa eaaaaaf faaaaae eaaaaaf faaaaae aaaaaf faaaaae faa aaaaaa aaae caaaaac aaaa aaaaaa caaa caaaaac aaae aaaaaa aaaf eaaaaac caaa aaaaaa aaa eaaaaaf aaaffaaaaa faaaaaaaf aaaaaae aaaaf caae ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d4d912ff b,#de0b7bff c,#eaed91ff d,#f095c5ff e,#dee250ff f,#f7e9d9ff g,#e64f9fff ``` ```image ecc aaa aaa aaa aaa aaa faaa faaa caaa caaa caaa eaaa eaae aaae aaac aaac aaac aaaf aaa aaa aaa aaa aaa aaa faaa caaa caaa caaa eaaa eaae aaae aaac aaac aaac aaaf aaaf aaa aaa aaa aaa aaa faaa faaa caaa caaa eaaa eaae aaae aaac aaac aaac caaaaaaaaaaaaaaaaaeeeccccfff aaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccfff aaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeaaa caaa fffcccceeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaae fffcccceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaf fffcccceeeeaaf caa dg dbbb gbbbbbd gbbbbbbb bbbbbbbg fbbbbbbbg fdbbbbbbbd ffdddgggbbbbbbbbbbbbbbbbbbbd ffdddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ffdddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddff bbbbbbbbbbbgggdddff ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6ee1d8ff b,#a84c42ff c,#d2a49fff d,#e9d4d1ff e,#baf0ecff f,#bd776fff g,#34d5c9ff ``` ```image d bf fb cbd cbc dbf bb fb cbd dbc dbf bb fb cbd dbc bf bb fbd cbd dbc fcd bf dfbbbbfc bb cfbbbbfd fbd dcfbbbbcd cbc dcfbbbfcd dbc dcbbbbfbf g ag ege gg ege ga eg ga ag ga ag ege gg ege ga eg ga ag ge ag ege gg ege ga eg ga ag ge ag ege gg ege ga eg ga ag ge ag ege gg g ege eg ga g ag g ga g ag g ge ae ag gege ag ``` <!-- end of image -->	[ "" ]
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,#777779ff b,#c397b1ff c,#48444bff d,#efededff e,#d7c2cfff f,#b0d5b0ff g,#96ca96ff ``` ```image bd be be bb bb bb eb eb db db bd bd be be bb bb bb eb eb db b bd bd be be bb bb bb eb dddebdddddddddd dgfffbffffffffffg dffffbffffffffffg dffffbffffffffffg dffffbffffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dfcaffbfffffffffg dfcaffbfffffffffg dfccffbfffffffffg dfacffbfffffffffg dfacffbffffbbbbbbed dffcffbbfbbbbffbbbbbbbed dffcafbbbbffffffg debbbbbbbe dffcafbbffffffffg debbbbbbbed dffccfffffffffffg ebbbbbbbed ggccgggggggggggf debbbbbbed bc debbbbbbbed dcd debbbbbbbed cf ebbbbbbbed ca debbbbbbbe cc debbbbbbbed ac debbbbbbbed bc debbbbbbed dc debbbd ce ca cc ac bc dcb cccccb eacccccb eacccccb eacccca eacccd bcccd bccce facd eccce fcccccae ecccb bcccccae dcccb bcccccae dccca bcccccae acca bcccccae acca dbcccccae acccd dacccccad bccceacccccad bccccad ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#78757aff b,#c693b1ff c,#49454cff d,#f1e7edff e,#dfc9d6ff f,#cbabbeff g,#949296ff ``` ```image dbbf dbbf dbbb bbb bbbd fbbd fbbd fbbe ebbe ebbe ebbf dbbf dbbf dbbb bbb bbbd fbbd fbbd fbbe d ebbe gcce ebbe accf ebbf gccg dbbf fcca dbbf eccc dbbb cccd bbb ccce bbbd accf fbbd dd gccg fbbd dfbbbfee fcca fbbe efbbbbbbbb eccc ebbe ebbbbbbbbbbb dcccd ebbe debbbbbbed deef ccce ebbfebbbbbbe accf dbbbbbbbbe gccg dbbbbbfe fcca bbbfd eccc ded dcccd ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#6f6c71ff b,#c694b1ff c,#48444bff d,#eadee5ff e,#d6bbcbff f,#b2b0b3ff g,#918e92ff ``` ```image ed be be bb bb bb eb eb db b bd bd be be bb bb bb eb db db b bd bd be be bb bb eb eb db db b bd bd be be bb bb eb eb cf db ca db cc b ac bd fc bd bbbbbbed cd be bbbe debbbbbbed cf bbbbd debbbbbbbd ca bbd debbbbbbbed cc dbbbbbbbed ac debbbbbbed fc debbbbbbbe dc ebbbbbbbed cf debbbbbbed ca debbbbbbed cc debbbbbbbe ac ebbbbbbbed fc debbbbbbed dc debbbd cf cg cc ac fc dcf cccccf eacccccf eacccccf eacccca eaccc gcccd fcccd facd eccce faccccae dcccf fcccccae dcccg fcccccae cccg fcccccae acca gcccccae acca gcccccgd gccc dgcccccgd gcccdgcccccgd fccccgd ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#8995efff b,#d57f85ff c,#b8bff5ff d,#e3b2b4ff e,#ebeaf1ff f,#b0d5b0ff g,#98c797ff ``` ```image fffffffffffffffg fffffffffffffffg fffffffffffffffg ffaaabbbbbbbbbbbddddeee ffaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddeee fffaadbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddde fffaaffffffffffg eeedddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd fffaaafffffffffg eeeddddbbbbbbbbbbbbbb fffaaafffffffffg bbb fffaaafffffffffg dbb ffffaafffffffffg dbb ffffaafffffffffg bbe ffffaaaffffffffg bbd gfffaaaffffffffg bbb eeeeaaaeeeeeeee bbb caa dbb eaae ebb aac bbe aaa bbd aaa bbb caa bbb eaae dbb aac ebb aaa bbd aaa bbd caa bbb eaae bbb aac dbb aaa ebbe aaa bbd eaae bbb b aaa bbb bbb aaa bbbeeeeeeeeeeedbbb caa gbbffffffffffgbbb aac gbbffffffffffbbbe aaa gbbdffffffffbbbge caa gbbbfffffffbbbbfe eaae gbbbffffffbbbbffe aaa gbbbffffffbbbfffe aaa gfbbfffffbbbffffe caa gfbbffffbbbfffffe aac gfbbbffbbbbfffffe aaa gfbbbfbbbbffffffe caa gfbbbfbbbfffffffce aac aae gfbbbbbbfffffffaaa aaa aaaaac gffbbbbffffffaaaaa aaa aaaaaaaa gffbbbdffffaaaaac eaae eaaecaaaaaac gffbbbfffaaaaaafe aac aaa eaaaaaaa gfffdffaaaaaafffe aaa aac caaaaaae gffffaaaaaafffffe caa caa eaaaaaac gfffaaaaafffffffe aac aaa caaaaaae fgaaaaaggggggggg aaa aac eaaaaaac eaaaaae aaa caa caaaaaae aaaaac eaae aaa eaaaaaaaaaac aaa eaac aaaaaaa aaa aaa caa caa aaa aac caae aaa aaa caa aac eaae caa aaa aaa aaa aac eaae caa aac aaa aaa eaae caa aaa aac aaa aaa caae aaa aaa eaae aac aac caa aaa aaa caa aac aac caa aaa aaa caaeaae eaaaaa aaaaa aaaae caaa aac ca ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#8994efff b,#d67e85ff c,#bac0f4ff d,#eecccfff e,#ebe6f3ff f,#e3a7abff g,#ab8fc4ff ``` ```image fbbbgffffffddddddeee ggaaabbbbbbbbbbbbbbbbbbbbb aaaaagbbbbbbbbbbbbbbbbbbbb aaaaagbbbbbbbbbbbbbbbbbbbb gaaaagbbbbbbbbbbbbbbbbbbbb caaaaadffffffbbbbbbbbbbbbb eaaaaae eeedddd aaaaae aaaaac caaaac caaaaa eaaaaae aaaaae aaaaac caaaac caaaaa eaaaaa aaaaae aaaaac caaaac caaaaa ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Alright, let's concentrate on the next area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#8995f0ff b,#d67d84ff c,#bfc5f6ff d,#f2d7d9ff e,#f3edf4ff f,#df9aa0ff g,#e8babdff ``` ```image gbbbbf dbb gbbbbf dbbb dbbbbb ebbbb ebbbbbd fbbbb bbbbbd gbbbbb fbbbbg gbbbbbb gbbbbf dbbbbbbg gbbbbb ebbbbbbf dbbbbbe fbbbbbf ebbbbbd fbbbbbbe bbbbbg gbbbbbbd fbbbbg dbbbbbbg gbbbbf ebbbbbbf dbbbbb fbbbbbf dbbbbbe fbbbbbbe bbbbbd gbbbbbbd fbbbbg dbbbbbbg fbbbbg ebbbbbbg gbbbbf efbbbbbf dbbbbb fbbbbbbe ebbbbbe gbbbbbbd bbbbbddbbbbbbd fbbbbfbbbbbbg fbbbbbbbbbbf ca gbbbbbbbbbbe eaaa dbbbbbbbbbe ecaaaa ebbbbbbbbd ecaaaaaa bbbbbbbg ecaaaaaaaa fbbbbbf caaaaaaaaaa gbbbbfe caaaaaaaaaace ebbbbe eaaaaaaaaaace egge eaaaaaaaaaaae ecaaaaaaaaaac ecaaaaaaaaaac caaaaaaaaaac caaaaaaaaaace caaaaaaaaaace ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area B. Answer: A: 0; B: 0; 0 + 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#8894efff b,#d67d84ff c,#c7ccf7ff d,#efced1ff e,#e9e8f7ff f,#e3a8acff g,#a8b0f2ff ``` ```image gaabbbbbbbbbbffffddde aaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffddde caaffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffddd aae eedddfffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd aag edddffffbbbbbbbbbbbbb aaa bbb gaa fbb caa dbb aae bbd aag bbf aaa bbb aaa bbb caa fbb eaae dbb aag bbd aaa bbf aaa bbb caa bbb eaae fbb aag dbb aaa bbd aaa bbf caa bbb eaae bbb aac fbb aaa ebbe gaa bbd eaae bbb b aag bbb bbb aaa fbb fbbb caa dbb ebbb aac ebbe bbb aaa bbf bbbd gaa bbb bbbf eaae bbb fbbb aaa fbb dbbb aaa dbb bbb caa bbd bbbd aag bbf bbbf aaa bbb fbbb gaa bbbdbbb ce aac aae fbbbbb caaa aaa aaaaac dbbbbe eaaaaa aaa aaaaaaag bbbf aaaaac eaae caaecaaaaaac bbb aaaaag aag aaa eaaaaaag ed gaaaag aaa aag gaaaaaac gaaaaa caa caa eaaaaaag caaaaa aac aaa gaaaaaae eaaaaae aaa aac eaaaaaag eaaaaac gaa gaa gaaaaaae aaaaac eaae aaa caaaaaaaaaag aag eaac gaaaaag aaa aaa caa caa aaa aac caae aaa aaa gaa aag eaac caa aaa aaa aaa aac caae gaa aag aaa aaa eaac gaa aaa aac aaa aaa caae aaa aaa eaae aag aag gaa aaa aaa caa aac aac gaa aaa aaa gaaeaac eaaaaa aaaaa aaaae caaa aag ga ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ba9987ff b,#e780a4ff c,#e7c9ccff d,#e2628fff e,#f4e5e7ff f,#cab2a4ff g,#eda0bbff ``` ```image fa aae aac aaf eaaaa faaaaa aaaf aa caaae aa aaaf aae caaae fac aaaa caf eaaac eaa faaa aa eaaac aa faaa aa aaaf aae faaae fac aaaf caf caaae eaa aaaa aa caaac aa aaaa aa fac eaaac aae caaaa faaa fac eaaaae eaaaf caf eaaaae faaaa eaa aaaac faaaaaf aa faaaf faaaaafe aa faaaf efaaaaafe aa caaaa eaaafe aae caaaae f fac eaaaae caf aaaac eaa faaaf aa faaaf aa caaaa aa caaaa aaeeaaaae faaaaac caaac af bbc dg gddddddbc cddg ddgdddddddddbc cddg ddb egdddddddddbc cddg gdd egdddddddddbc cddg edde egdddddddddbc cddg ddb egddddddd cddg bdd egdg cddg edd cddb ddg cddb ddd cddb cdd cddb ddc cddb ddd eddb gdd eddb dde eddb ddb eddb bdd eddb edde eddb ddg eddb bdd eddb cdd eddb ddg eddb ddd eddb cdd eddb ddc eddb ddb eddb gdd eddb edde eddb ddb eddbbdd edddde eddg g ``` <!-- end of image -->	[ "" ]
Alright, let's get to work and investigate this image for intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#89d248ff b,#7178c7ff c,#9dd08dff d,#6bca0fff e,#e8f0e9ff f,#b1d8b0ff g,#a0a8d4ff ``` ```image gbg gbbbbb ebbbbbbe ebbbbbbe gbbbbbg ebbbbbg ebbbbbbe eeeeeeeeeeeeeeeeeegbbbbbg ecffffffffffffffgbbbbbg efffffffffffffbbbbbbc effffffffffbbbbbbgffc efffffffgbbbbbbfffffc efffffbbbbbbffffffffc effbbbbbbgfffffffaffc gbbbbbgfffffffffdddfc ebbbbbbfffffffffffddddfc ebbbbbbgffffffffffffdddddcc gbbbbbg effffffffffffdddfaddc ebbbbbg effffffffffcdddfffddc ebbbbbbe efffffffffcdddffffdda gbbbbbg effffffffcdddfffffadd gbbbbg efffffffcdddfffffffdd gbbbbe effffffcdddffffffffddf bbbbbe efffffcdddfffffffffadd bbbbbe effffaddafffffffffffdd ebbbbb efffaddaffffffffffffddf ebbbbb effaddafffffffffffffadd ebbbbg efaddaffffffffffffffcdd gbbbbg eaddafffffffffffffffcddf gbbbbg addcffffffffffffffffccdd gbbbbe addcfffffffffffffffffc dd bbbbbe addcffffffffffffffffffc ddc gbbbbe dddffffffffffffffffffffc fdd bb dddeefffffffffffffffffffc dd ddde efffffffffffffffffffc ddc ddde efffffffffffffffffffc fdd ddde efffffffffffffffffffc dd ddd cccccccccccccccccccf ddc ddd fdd ddd dd ddd ddc ddd fdd eddd dd eddd ddc eddd fdd eddd dd eddd dda fdda fdd fdda dd fdda dda cdda edd cdda dd cddc dda addc edd addc dde addf ada addf edd dddf dde ddde ada ddde edd ddde dde ddde ada ddde edd ddd dde ddd ada ddd edd ddd dde ddd ada eddd edd cdd dde c add dd dde add dd ddf cdd dd ddf cdd ae ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#88d43eff b,#7177c7ff c,#a9df73ff d,#6bca0fff e,#d0d2ecff f,#d5efbcff g,#a1a5daff ``` ```image egb egbbbb egbbbbbb egbbbbbbbbb egbbbbbbbbbbbg ebbbbbbbbbbbge egbbbbbbbbbbbe egbbbbbbbbbbbge gbbbbbbbbbbbge egbbbbbbbbbbge egbbbbbbbbbbbge gbbbbbbbbbbbge egbbbbbbbbbbge cac egbbbbbbbbbbbg cdddc bbbbbbbbbbbge cddddd bbbbbbbbge addddddf bbbbbbe adddddddc bbbge addddddddd ge adddddcddddf adddddf ddddc adddddf cdddd adddddf fddddf adddddf ddddc fadddddf cdddd fddddddf fdddd fddddddf addd fddddddf cddd fddddddf fddd fdddddaf add fddddda cdd fddddda fdd fddddda ad fddddda cd fddddda fd cddddda a cddddda c cddddda f cdddddc cdddddc cdddddc cdddddc adddddc adddddc adddddc dddddf ddddf dddf ddf df f ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#8ad541ff b,#7177c7ff c,#b2e382ff d,#6bca0fff e,#ccceeaff f,#daf1c4ff g,#a0a4d9ff ``` ```image gbg gbbbbb ebbbbbb bbbbbbe gbbbbbg ebbbbbg bbbbbbe gbbbbbg ebbbbbg ebbbbbbe gbbbbbe ebbbbbg ebbbbbb gbbbbbe a gbbbbbg ddd ebbbbbb dddd bbbbbbe dddddf gbbbbbg ddd cdd ebbbbbg fddd dd bbbbbbe fddd ddf ebbbbbg fddd cdd gbbbbg fdda dd gbbbbe fdda ddf bbbbbe cdda cdd bbbbb cdda dd bbbbb cdda ddc ebbbbb cddc cdd ebbbbg addc dd ebbbbg addc ddc gbbbbe addc cdd gbbbbe addf dd bbbbbe addf ddc gbbbb dddf cdd bb dddf dd dddf ddc ddd cdd ddd dd ddd ddc ddd fdd ddd dd ddd ddc ddd fdd ddd dd ddd ddc fddd fdd fddd dd fddd ddc fdda fdd fdda dd cdda dda cdda fdd cdda dd cddc ada addc fdd addc dd addc ada addf fdd addf dd dddf ada dddf fdd dddf ddf ddd ada ddd dd ddd ddf ddd ada ddd dd ddd ddf ddd ada ddd dd cdd ddf c ada dd ddf add dd ddf cdd dd ddf cdd af ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#49c796ff b,#e8f3beff c,#b2d8b2ff d,#6dcea3ff e,#eef7eeff f,#94cb98ff g,#a5d2a8ff ``` ```image caac daaaaac aaaaaaaaae eaaaa caaaaae caaad caaaad aaaae daaaad aaaa daaaag baaad aaaaac daaac eaaaaae aaaae eaaaaae eaaaa caaaaa caaad gaaaad daaac daaaad aaaa daaaac eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaaaaeeeeeeeeeee eaaaaac egggggggggggggggggggggggggggggggdaaafbbbbgggggggf eaaaa egcccccccccccccccccccccccccccccaaaabbbbbbbbcccccf cag egcccccccccccccccccccccccccccgaaaabbcccbbbbbbbccf egccccccccccccccccccccccccccdaaadbbccccccbbbbbbbg egcccccccccccccccccccccccccaaaafbbbcccccccccbbbbbbe egccccccccccccccccccccccccaaaacbbbccccccccccccbbbbbbb egccccccccccccccccccccccgaaaaccbbbccccccccccccccgbbbbbbe egcccccccccccccccccccccfaaadccbbbcccccccccccccccf bbbbbbb egcccccccccccccccccccccaaagcccbbbcccccccccccccccf ebbbbbbe egccccccccccccccccccccaaagcccbbbccccccccccccccccf bbbbbbb egcccccccccccccccccccdaadccccbbbccccccccccccccccf ebbbbbbe egccccccccccccccccccgaaaccccbbbcccccccccccccccccf bbbbbbb egccccccccccccccccccaaacccccbbccccccccccccccccccf ebbbbbbe egcccccccccccccccccaaafccccbbbccccccccccccccccccf ebbbbbbe egccccccccccccccccfaaaccccbbbcccccccccccccccccccf bbbbbbb egccccccccccccccccaaacccccbbbcccccccccccccccccccf ebbbbbbe egcccccccccccccccaaagccccbbbccccccccccccccccccccf bbbbbbb egccccccccccccccdaadcccccbbbccccccccccccccccccccf ebbbbb egcccccccccccccgaaacccccbbbcccccccccccccccccccccf bbb egcccccccccccccaaaccccccbbbcccccccccccccccccccccf egccccccccccccdaadcccccbbbccccccccccccccccccccccf egcccccccccccgaaaccccccbbbccccccccccccccccccccccf egcccccccccccaaaccccccbbbcccccccccccccccccccccccf egccccccccccaaagccccccbbccccccccccccccccccccccccf egcccccccccdaaaccccccbbbccccccccccccccccccccccccf egcccccccccaaaccccccbbbcccccccccccccccccccccccccf egccccccccaaagccccccbbbcccccccccccccccccccccccccf egcccccccdaadccccccbbbccccccccccccccccccccccccccf egccccccgaaacccccccbbbccccccccccccccccccccccccccf egccccccaaacccccccbbbcccccccccccccccccccccccccccf egcccccaaafcccccccbbbcccccccccccccccccccccccccccf egccccfaaacccccccbbbccccccccccccccccccccccccccccf egccccaaaccccccccbbbccccccccccccccccccccccccccccf egcccaaagcccccccbbbcccccccccccccccccccccccccccccf egccfaadccccccccbbbcccccccccccccccccccccccccccccf egccaaaccccccccbbbccccccccccccccccccccccccccccccf egccaaacccccccbbbcccccccccccccccccccccccccccccccf egccaadcccccccbbbcccccccccccccccccccccccccccccccf egccaagccccccbbbccccccccccccccccccccccccccccccccf egcfaacccccccbbbccccccccccccccccccccccccccccccccf egcdaaccccccbbbcccccccccccccccccccccccccccccccccf egcaaaccccccbbbcccccccccccccccccccccccccccccccccf egcaadcccccbbbccccccccccccccccccccccccccccccccccf egcaafcccccbbbccccccccccccccccccccccccccccccccccf eggaacccccbbbcccccccccccccccccccccccccccccccccccf egdaacccccbbbcccccccccccccccccccccccccccccccccccf egaaaccccbbbccccccccccccccccccccccccccccccccccccf egaaacccbbbcccccccccccccccccccccccccccccccccccccf egaadcccbbbcccccccccccccccccccccccccccccccccccccf egaagccbbbccccccccccccccccccccccccccccccccccccccf edaacccbbbccccccccccccccccccccccccccccccccccccccf eaaaccbbbcccccccccccccccccccccccccccccccccccccccf eaaaccbbbcccccccccccccccccccccccccccccccccccccccf eaadcbbbccccccccccccccccccccccccccccccccccccccccf eaagcbbbccccccccccccccccccccccccccccccccccccccccf caacbbbcccccccccccccccccccccccccccccccccccccccccf daacbbbcccccccccccccccccccccccccccccccccccccccccf aaabbbccccccccccccccccccccccccccccccccccccccccccf aadbbcccccccccccccccccccccccccccccccccccccccccccf aacbbcccccccccccccccccccccccccccccccccccccccccccf eaabbccccccccccccccccccccccccccccccccccccccccccccf gaabbccccccccccccccccccccccccccccccccccccccccccccf aaabcccccccccccccccccccccccccccccccccccccccccccccf bbbcccccccccccccccccccccccccccccccccccccccccccccf bbbggggggggggggggggggggggggggggggggggggggggggggggf bbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#49c796ff b,#eaf5bfff c,#ace5ccff d,#67cfa5ff e,#cff0e3ff f,#f2f9e3ff g,#87d9b7ff ``` ```image caaaaaadbbbf gaaaaaagbbbbbbbf daaaaaacbbbbbbbbbbf gaaaaaadbb fbbbbbbbbbbbf fdaaaaaagbbf fbbbbbbbbbbbf eaaaaaaacbbb fbbbbbbbbbbbf caaaaaadbbbbf fbbbbbbbbbb gaaaaaagbbbbb bbbbbbbbb eaaaaaaafbbbbb ffbbbbbb caaaaaadebbbbbf fbbbb fdaaaaaac fbbbbf f eaaaaaaae bbbbb aaaaaadf fbbbbf caaaaaa bbbbb eaaaaaac fbbbbf daaaade bbbbb eaaaaaf bbbbb daaaae fbbbb gaaaag fbbbbb caaaaa bbbbbb aaaaaa fbbbbbf aaaaac bbbbbb caaaad bbbbbf daaaac fbbbbf gaaaag bbbbb eaaaadf fbbbbf faaaaae bbbbb gaaaag fbbbb caaaaa fbbbbf eaaaaaa bbbbb aaaaag bbbbb eaaaaaf fbbbbb daaaae bbbbbb gaaaag bbbbbf caaaad bbbbb faaaaae fbbbbf caaaad fbbbbf eaaaaaf fbbbbf daaaaa bbbbb aaaaag fbbbbf eaaaad bbbbb faaaaae fbbbbf daaaag bbbbb eaaaaae bbbbbb daaaac bbbbbf gaaaag bbbbb eaaaaaf fbbbbf daaaaa bbbbf aaaaag bbbbb faaaaae bbbbb daaaac fbbbbf caaaad bbbbb eaaaaaf fbbbbf daaaac bbbbb gaaaag fbbbbb eaaaaa bbbbbb daaaaac bbbbbf aaaaad bbbbb eaaaaae fbbbbf daaaac bbbbb caaaag fbbbbf gaaaaf bbbbb daaac fbbbbf eaaaa fbbbbf caaad bbbbb gaaag fbbbbf daaac bbbbb aaaae bbbbbb eaaaa bbbbbf gaaag fbbbbf daaac bbbbb aaaae fbbbbf faaaaf bbbbb eaaaa fbbbbf caaaa bbbbb gaaaa fbbbbf aaaaa bbbbb eaaaaa fbbbbb caaaad bbbbbb gaaaag bbbbbf daaaac bbbbb aaaaae fbbbbf aaaad fbbbbf aaaag bbbbb aaaac fbbbbf aaaae bbbbb faaaaf bbbbb eaaaa fbbbbf caaag bbbbb daaac bbbbbb aaaae fbbbbbf eaaaa bbbbbb caaad bbbbbf gaaag bbbbb daaac fbbbbf aaaae bbbbb caaad fbbbbf gaaag bbbbb daaacfbbbbf aaaaebbbbb aaaafbbbbf aaaabbbbb aaagbbbbb aaacbbbbf aaabbbbb aaabbbb aaabbbf aaabbb aaabbf gdabf bbbb bbbf ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4ac796ff b,#eaf5bfff c,#bae9d7ff d,#73d3acff e,#dcf3eaff f,#f4f9dfff g,#97dec1ff ``` ```image caag daaaaac aaaaaaaaae eaaaa caaaaa gaaad gaaaaa aaaac daaaad aaaa daaaag caaaa aaaaac daaag eaaaaae aaaae eaaaaae eaaaa caaaaa gaaad gaaaad aaaac daaaad aaaa aaaaag caaaaf aaaaac daaadbbbb eaaaa aaaabfbbbbbbf cag eaaaabb bbbbbbf gaaadbbf fbbbbbbf daaacbbb fbbbbbbf aaaa bbb fbbbbbb eaaaa bbb fbbbbbbf caaag bbb bbbbbbb aaae bbb fbbbbbbf aaae bbb bbbbbbb daag fbbf fbbbbbbf eaaa bbb bbbbbbf aaa fbbf fbbbbbbf daac bbb fbbbbbbf caaa fbbf fbbbbbb aaa bbb fbbbbbbf aaae bbb bbbbbbb gaad bbb fbbbbb aaa bbb bbb aaa bbb daag bbb eaaa bbf aaa bbb aaae fbbf caad bbb aaa fbbf aaae bbb daag bbb eaaa bbb aaa bbb aaac bbb caaa bbb aaa bbf aaae bbb caad fbbf aaa bbb aaa fbbf aag bbb aae bbb caa bbb daa bbb aaa bbb aad bbb aac bbf eaa bbb gaa fbbf aaa bbb aad fbbf aag bbb eaae fbb gaa bbb aaa bbb aaa bbb aag bbb aae bbb caa bbb daafbbf aaabbb aadbbf aagbb eaabb gaabb aaab bbb bbb bb ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#648aadff b,#bd1076ff c,#b89fa3ff d,#b1d7b1ff e,#95c996ff f,#b85b8cff g,#8db2b0ff ``` ```image dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddddfddddddddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddddbbbfddddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddfbbbbbdddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddbbbbbbbcdddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddbbbbbbbbbbddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddfbbbcdcbbbbbcddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddbbbbddddbbbbbbdddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddbbbbddddddfbbbbbcdddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddfbbbcddddddddbbbbbfddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddbbbbddddddddddfbbbbbdddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddbbbbddddddddgaaddbbbbbfdddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddfbbbcddddddddaaaagdfbbbbbddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddbbbbddddddddaaaaaaadcbbbbbfddddddddddddddddddde dddddddddddddddddddddddddddddddddddbbbbddddddddgaaaaaaaaddbbbbbbdddddddddddddddddde ddddddddddddddddddddddddddddddddddcbbbcddddddddaaaadaaaaaddcbbbbbcdddddddddddddddde ddddddddddddddddddddddddddddddddddbbbbddddddddaaaadddaaaaagddbbbbbbddddddddddddddde dddddddddddddddddddddddddddddddddbbbbddddddddgaaadddddgaaaagddfbbbbbcddddddddddddde ddddddddddddddddddddddddddddddddcbbbfddddddddaaaaddddddgaaaaadddbbbbbfdddddddddddde ddddddddddddddddddddddddddddddddbbbbddddddddaaaadddddddddaaaaadddfbbbbbddddddddddde dddddddddddddddddddddddddddddddbbbbddddddddgaaagddddddddddaaaaaddddbbbbbfddddddddde ddddddddddddddddddddddddddddddcbbbfddddddddaaaaddddddddddddaaaaagdddfbbbbbdddddddde ddddddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddgaaaaadddcbbbbbfdddddde dddddddddddddddddddddddddddddfbbbddddddddgaaagddddddddddddddddaaaaaddddbbbbbbddddde dddddddddddddddddddddddddddddbbbfddddddddaaaaddddddddddddddddddaaaaaddddcbbbbbcddde ddddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddaaaaagddddbbbbbbdde dddddddddddddddddddddddddddfbbbcdddddddgaaagdddddddddddddddddddddgaaaagddddcbbbbbde dddddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddgaaaaadddddbbbdde ddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddaaaaadddddfddde dddddddddddddddddddddddddfbbbcdddddddgaaagdddddddddddddddddddddddddddaaaaadddddddde dddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddaaaaagdddddde ddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddgaaaaaddddde dddddddddddddddddddddddcbbbcdddddddgaaagdddddddddddddddddddddddddddddddddaaaaadddde dddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddaaaaaddde ddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddaaaaagde dddddddddddddddddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddgaaagde dddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddgaadde ddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddcbbbfddddddddaaagdddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddfbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddbbbfddddddddaaagdddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddfbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddbbbfddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddfbbbcdddddddgaaadddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddfbbbcdddddddgaaadddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddcbbbcdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddfbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddfbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddbbbbdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dfbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dbbbbdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cbbbfeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed cbb aaag aaaa gaaa aaaag aaaaaa aaaaaaa aaaaaaad aaaaaaad aaaaad gaad d ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#648aadff b,#be0f76ff c,#e8add0ff d,#9eb5ccff e,#e2dde9ff f,#c93b8eff g,#d974afff ``` ```image cc gbbf ebbbbbf fbbbbbbg cbbbbbbbbf bbbbbbbbbbbf cbbbbgfbbbbbbc gbbbbb cbbbbbbbf bbbbbg ebbbbbbbg gbbbbe ebbbbbbbg cbbbbb gbbbbbbbf bbbbbe gbbbbbbbf ebbbbg cfbbbbbbc gbbbbb dad cbbbbbbbc bbbbbg daaaa ebbbbbbbg cbbbbc eaaaaaad ebbbbbbbg ebbbbb daaaaaaa gbbbbbbbe bbbbbc aaaaaaaaaaa gbbbbbbbe ebbbbf aaaaaaaaaaae cbbbbbbbc cbbbbb aaaaa daaaaaa cbbbbbbbc bbbbbf daaaaa aaaaaaae fbbbbbbb cbbbbg aaaaa aaaaaad fbbbbbbb fbbbb daaaae daaaaaad gbbbbbbfe bbbbbg aaaaaa aaaaaaae gbbbbbbfe bbbbf aaaaae eaaaaaaa fbbbbbbb gbbbbc eaaaad aaaaaad gbbbbbbfe fbbbbf daaaaa eaaaaaae gbbbbbbb bbbbbc aaaaad aaaaaaae bbbbbbbfc fbbbb daaaae aaaaaad bbbbbbbfe cbbbbb eaaaaa daaaaaad efbbbbbbb fbbbbbe aaaaae aaaaaaae efbbbbbbb bbbbbc eaaaad daaaaaa gbbbbbbfe gbbbbb daaaaa eaaaaaaa gbbbbbbg cbbbbbc aaaaad eaaaaaae bbbbbbbf bbbbbe daaaae daaaaaa bbbbbbf cbbbbb eaaaaa aaaaaad efbbbbe gbbbbbe aaaaae eaaaaaaa efbf bbbbbg aaaad daaaaaad be gbbbbc eaaaaa aaaaaaae ebbbbb aaaaad eaaaaaaae bbbbbc eaaaad daaaaaad ebbbbg aaaaa daaaaaad cbbbbb aaaaad aaaaaaae bbbbbf aaaaa daaaaaa cbbbbc eaaaaa eaaaaaaa bbbbb aaaaaa eaaaaaae gbbbbb aaaaae daaaaaa bbbbf aaaaa aaaa gbbbbe daaaaa eaad fbbbbf aaaaa e bbbbbe daaaae fbbbb aaaaaa gbbbbb aaaaae bbbbb daaaa cbbbbc daaaaa fbbbbb daaaaa bbbbbc aaaaae gbbbbe daaaaa cbbbbb eaaaaae bbbbbe aaaaae cbbbbg eaaaaa gbbbbb daaaaae bbbbbg aaaaad gbbbbc daaaae ebbbbb eaaaaa fbbbbf aaaaaa ebbbbg eaaaad fbbbb aaaaa bbbbbf aaaaad bbbbbe aaaaa bbbbb eaaaaa gbbbbb aaaaaa fbbbbf eaaaad bbbbbe aaaaa fbbbbf aaaaad gbbbbbe aaaaa bbbbb eaaaaa gbbbbb daaaaa fbbbbf eaaaad bbbbbc daaaae fbbbbe aaaaad cbbbbb aaaaae bbbbbe aaaaa cbbbbc daaaaa gbbbbb aaaaa bbbbbg daaaae bbbbf eaaaaa cbbbbb aaaaae fbbbbf eaaaad ebbbbg daaaaa fbbbb aaaaad bbbbbg daaaae bbbbb eaaaaa bbbbb aaaaae bbbbb eaaaad bbbf daaaaa ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6389adff b,#be1076ff c,#e39bc6ff d,#bdcddcff e,#e9dfebff f,#d0549dff g,#8da9c3ff ``` ```image c bbbf fbbbbb ebbbbbbbc bbbbbbbbbb fbbbe cbbbbbc bbbf bbbbbb bbbb cbbbbbe cbbbe bbbbbf bbbb fbbbbbe bbbb gaaeebbbbbf cbbbc eaaaad fbbbbb bbbb aaaaaag ebbbbbc bbbb gaaaaaaaa bbbbbb cbbbc aaag aaaaa cbbbbbc bbbb aaaa aaaaae bbbbbb bbbb gaaae gaaaag cbbbbbe ebbbc aaag eaaaaa bbbbbf bbbb aaaa aaaaa fbbbbbe fbbb daaae aaaaae ebbbbbf ebbbf aaaa gaaaad fbbbbb bbbb aaaa daaaag ebbbbbc fbbbe daaad eaaaaa bbbbbb ebbbf aaaa aaaaa cbbbbbc bbbb aaaa aaaaae bbbbbb fbbbe daaad gaaaag cbbbbf bbbf aaaa eaaaaa bbb bbbb aaaa aaaaa fe cbbbe daaad aaaaae bbbb aaaa gaaaad bbbb aaaa daaaag cbbbc daaad eaaaaa bbbb aaaa aaaaa bbbb aaaa aaaaae cbbbc eaaad gaaad bbbb aaaa eag bbbb gaaa ebbbf eaaag bbbb aaaa fbbb gaaa ebbbf eaaag bbbb aaaa fbbbe gaaae bbbf eaaag bbbb aaaa fbbbe gaaae bbbb aaag bbbb aaaa cbbbc gaaae bbbb aaag bbbb aaaa cbbbc daaae bbbb aaaa bbbb aaaa ebbbc daaad bbbb aaaa fbbb aaaa ebbbf daaad bbbb aaaa fbbbe aaaa ebbbf daaad bbbb aaaa fbbbe aaaa bbbf eaaad bbbb aaaa cbbbe aaaa bbbb eaaag bbbb aaaa cbbbc gaaa bbbb eaaag bbbb aaaa cbbbc gaaa cbb eaaag aaaa gaaae aaaag aaaaaa aaaaaaa aaaaaaad aaaaaaad aaaaad gaad d ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b3af5dff b,#ed3043ff c,#9b9629ff d,#f69da6ff e,#f0e1d4ff f,#f0606eff g,#cecb96ff ``` ```image e dbf edbbf dbf dbbbfe ebbd ebb dfbbfd dbbd ebbe dfbbfd dbbe bbe eddfbbbbbfd f fbd edffbbbbbfde dbd edfbbbbbffde dbfbbbbbfdde a cc ec c gc c ca c ece c gc c ca c ece c ac c ca c ece c ac c cg c ece c ac c cg c c gc c ce ac c ec cg c gc gc c ac ca c ca ce c cg gc c ce ca c ec ece c gc ac c ac ca c aa ece c cg ac c ce cg c ce ece c ec g c ec c ec c gc c ac c aa c ca c cg c cg a ce a ce a c a ec a ec a gc a gc a aa aca ag ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#79bff9ff b,#a6ddeeff c,#5dcfcdff d,#4fabf8ff e,#c6e8f5ff f,#7cd8d6ff g,#e4f4f9ff ``` ```image ebg bdddddddae bdb gbaddddddabg adb geadddddddae ade ebaddddddabg ade geadddddd adg edda ddg bddg dd dda dd gdde dd add dd gddb dd bdd dd dda gdd eddg gdd ada gda gdde da add de ddb d bddg ed dda ad edde da add db gd d gd bd dd db dg d bd ad da b de ccc d eccgcc ed bcf cc ad cce cc da cc cc de gcc cc g bcf c fce ccg gcc bcf fcb ccg gcc gb ecf gcc fcb cfcg ccg cc cf cc cc bc ecc cc cg fcf fc cf cce fcg bc cc bcg c gcc ece cb bcf gcb fc cce gcf gc ccg cf cb gcc cc fc bcf cc gc fcb cc ce ccg fc ccgcc fcg eccf bcg cb ece gcb gcf cf cc cc cc fc fcg bcg ece gcb cf g ``` <!-- end of image -->	[ "" ]

Alright, let's get to work and investigate this image for intersections. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#90b1b5ff b,#27ab6bff c,#b9d0d0ff d,#dfede9ff e,#57bb87ff f,#b1d7b2ff g,#93ca98ff ``` ```image aaaaaccd caaaaaaaaaaaaaacdd caacdcaaaaaaaaaaaaaaaaaaccd daaa dccaaaaaaaaaaaaaaaaaaccd aaa dccaaaaaaaaaaaaaaaaaacdd aaa ddcaaaaaaaaaaaaaaaaaaccd aaa dccaaaaaaaaaaaaaaaaaac aaad dccaaaaaaaaaac aaad ddcaaa caac caa daaa daa aaa aa aaa aa aaa aad aaad aac aaad caa caac daa daa aa aa aad aac aaa caa daa aa aad aac aaa caa daa aa aad aac aaa caa daa aa aa aad aac caa daa aa aa dbb aad dbbbbe aac dbbbbbbbe aaa dbbb fbbbbg caa dbbb gbbbbf daa dbbb ebbbbd aa dbbb ebbbbd aad dbbb bbbbb aac dbbb dbbbbe aaa dbbb cbbbbe caa bbb fbbbbg daa bbb gbbbbc aa bbb ebbbbd aad bbb bbbbbd aac bbb dbbbbb aac bbb dbbbbefggggggggggggaaagggg bbbd cbbbbeffffffffffffaaffff bbbd gbbbbeffffffffffaaffff bbbd ebbbbgffffffffaaffff bbbd gfbbbbbgffffffaaffff bbbd gfffbbbbbfffffaaafff bbbd gfffffbbbbbfffaaafff bbbd gffffffgbbbbeffaafff bbbd gffffffffgbbbbefffff bbbd gffffffffffebbbbgfff bbbd gffffffffffffebbbfff bbbd gffffffffffffffbgfff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd gfffffffffffffffffff bbbd fggggggggggggggggggg bbbd bbbd bbbc bbbc bc ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#90b1b5ff b,#27ab6bff c,#c7e1d9ff d,#e3f0ecff e,#4ab883ff f,#a7d3c3ff g,#74c89fff ``` ```image aaaaa c faaaa bgd caaaad bbbgd caaaac bbbbbgd daaaac bbbbbbbf aaaaf bbbbbbbbef aaaaa dgbbbbbbbbec faaaa cebbbbbbbbec caaaad cebbbbbbbbgd caaaac febbbbbbbbgd daaaac fbbbbbbbbbf aaaaf dgbbbbbbbbbf aaaaa dgbbbbbbbbef faaaa dgbbbbbbbbec faaaad cebbbbbbbbgd caaaad cebbbbbbbbgddfcdd febbbbbbbbgd fbbbbbbbbbf dgbbbbbbbbef dgbbbbbbbbg dgbbbbbbc cebbbe febc c ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#8fb1b5ff b,#27ab6bff c,#bfd6d4ff d,#d6e8e3ff e,#55bc8aff f,#a6c7c4ff g,#ecf5f2ff ``` ```image aaaaafcg faaaaaaaaaaaaafcdg caafdcfaaaaaaaaaaaaaaaaafcd daaa gcfaaaaaaaaaaaaaaaaaafcg gaaa gdcfaaaaaaaaaaaaaaaaafcdg aaa gdcfaaaaaaaaaaaaaaaaafcd aaa gcfaaaaaaaaaaaaaaaaaac aaag gdcfaaaaaaaaaac faad gdcaaf caaf caa daaf daa gaaa aa aaa aag aaa aad aaag aaf faad faa caac daa daf gaa g aa aad aaf faa caa gaa aa aad aac aaa caa daa aa aag aac aaf faa daa aa aag aad aaf faa daa gaa aa dbbg aad dbbbbe aac gbbbbbbbe faa gbbb fbbbba caa gbbb abbbbf gaa gbbb ebbbbd aa gbbb ebbbbg aag gbbb gbbbbb aac gbbb dbbbbe aaf gbbb cbbbbe caa gbbb fbbbbf daa gbbbg abbbbc aa gbbbg ebbbbd aag gbbbg bbbbbg aac gbbbg gbbbbb aaf bbbg dbbbbe faa bbbg cbbbba daa bbbg fbbbbf aa bbbg ebbbbc aa bbbg ebbbbd aad bbbg bbbbbg aaf bbbg gbbbbe faa bbbg dbbbbe caa bbbg fbbbba bbbd abbbbf bbbd ebbb bbbd ed bbbd bbbd bbbd bbbd bbbd bbbd bbbd bbbd bbbc bc ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#197f1cff b,#3ea0fcff c,#63a765ff d,#a5d2fdff e,#a4cca5ff f,#73bafcff g,#d7eaebff ``` ```image dbbbbbbfdg fbbbbbbbbbbbbbbbffdg gdfbbbbbbbbbbbbbbbbbbbbbbfddg gddfbbbbbbbbbbbbbbbbbbbbbbfdg gdffbbbbbbbbbbbbbbbbbbbbbffdg gdfbbbbbbbbbbbbbbbbbbbbbbfddg gddfbbbbbbbbbbbbbbbbb gdffbbbbbbbb fbbd bbb bbb fbbf bbb bbb dbbf bbb bbb dbbf bbbg bbb dbbf bbbg bbb gbbb bbbg bbb gbbb fbbd bbb gbbb fbbd bbb bbb fbbd bbb bbb dbbf bbb bbb dbb d eaac aaaaaaae caaaaaaaac eaaaaaaaacg gcaaaaaaaae eaaaaaaaacg gcaaaaaaaae eaaaaaaaacg gcaaaaaaaae caaaaaaaac eaaaaaaaaag caaaaaaaae eaaaaaaaacg gcaaaaaaaae eaaaaaaaa gcaaaaag caaae eaaac gaaaa aaaa aaaa caaag eaaae gaaac aaaa aaaa aaaag caaae eaaac gaaaa aaaac caaaac aaaaae gaaaaag eaaaaa caaaac aaaaae aaaa gac ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#92fe67ff b,#ef49d8ff c,#c7feb1ff d,#f486e4ff e,#e8fedfff f,#aafe88ff g,#f9c8f3ff ``` ```image caa aaaf eaaaae faaaaa aaaaaac eaaa aaa aaae faaa aaa aaae eaaf eaaa aaae aaaf aaa aaae caaf caaa aaa aaac aaa aaa caac faaa eaaa aaac caaaaa eaaa eaaaaaaae aaaf faaaaaaae aaae caaaaaaac caaa eaaaaaaaae aaac caaaaaaac aaa aaaaaaaf faaa aaaaaae aaac aaac eaaa eaaf aaaf faae aaae aaa caaa eaaa aaaf faae aaa aaa faaa aaa aaac faac eaaa aaa faaf aaa aaae caac caaa aaa aaaf aaa aaa caac faaa aaa aaac faa eaaa faaa aaae caaa aaaf aaa caaa aaac eaaa faaa aaae caaa caa aaaf faaaa aaa eaaaaaaae caaa caaaaaaf aaac faaaaaac eaaaeaaaaaaae faaaaaaaf aaaaac eaae d dbbb bbbbbb dbbbbbbg dbbbbbbg gbbbbbbd gbbd gbbbbbbd gbbbbbbd g bbbbbbb gbbbbbbbbbbd gbbb dbbbbbb gbbbbbbg bbbbbbb gbbbbbb dbbbbbbdbbbbbb dbbbbbb dbbbbbbbd dbbbbbbbbb dbbbbbbg dbbbbbbbbg gbbbbb dbbbbbbg dbbbbbbbbg gd gbbbbbbg gbbbbbbbbg gbbbbbbd gbbbbbbbbg gbbbbbbd gbbbbbbbbd bbbbbbd bbbbbbbbd bbbbbbbbbbbbd dbbbbbbbg dbbg ```

[ "" ]

I'm ready to tackle this image and find those intersections! My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#91cc91ff b,#db2614ff c,#e6e1d2ff d,#d8604dff e,#b1d7b1ff f,#d49c87ff g,#43bf46ff ``` ```image aa eggggg aggggge ge eggggga gg cgggggac ag aggggge cgc eggggga ga cagggggc gg aggggge eg eggggga ge cagggggc gg aggggge gg egggggac cg caggggge ga eggggga gg cgggggac ag aggggge ge ggga gg c gg eg ga gg ag gc fbbf gg dbbbbbbbbbdc gg cbbbbbf cdbbbbbdc eg fbbbbdc cfbbbbbdf ge dbbbbd fbbbbbbf gg cbbbbbf fdbbbbbfc aeeeeeeeeeggeeeeeeeeeeeeeea fbbbbdc cdbbbbbdc aeeeeeeeeeegaeeeeeeeeeeeeea bbbbd cdbbbbbdc aeeeeeeeeeeggeeeeeeeeeeeeea bf fbbbbbbfeeeeeeeeggeeeeeeeeeeeeea fbbbbbbdeeeeageeeeeeeeeeeeea aeefdbbdeeeegaeeeeeeeeeeeea aeeeeebbeeeeggeeeeeeeeeeeea aeeeeefbfeeeggeeeeeeeeeeeea aeeeeeebbeeeageeeeeeeeeeeea aeeeeeedbeeeeggeeeeeeeeeeea aeeeeeeebfeeeggeeeeeeeeeeea aeeeeeeebbeeeageeeeeeeeeeea aeeeeeeedbeeeegaeeeeeeeeeea aeeeeeeeebfeeeggeeeeeeeeeea aeeeeeeeebbeeeggeeeeeeeeeea aeeeeeeeedbeeeageeeeeeeeeea aeeeeeeeeebdeeegaeeeeeeeeea aeeeeeeeeebbeeeggeeeeeeeeea aeeeeeeeeefbeeeageeeeeeeeea aeeeeeeeeeebdeeegaeeeeeeeea aeeeeeeeeeebbeeeggeeeeeeeea aeeeeeeeeeefbeeeggeeeeeeeea aeeeeeeeeeeebdeeageeeeeeeea aeeeeeeeeeeebbeeegaeeeeeeea aeeeeeeeeeeefbeeeggeeeeeeea aeeeeeeeeeeeebbeeggeeeeeeea aeeeeeeeeeeeebbeeegaeeeeeea aeeeeeeeeeeeeebfeeggeeeeeea aeeeeeeeeeeeeebbeeggeeeeeea aeeeeeeeeeeeeedbeeageeeeeea aeeeeeeeeeeeeeebfeegaeeeeea aeeeeeeeeeeeeeebbeeggeeeeea aeeeeeeeeeeeeeedbeeggeeeeea aeeeeeeeeeeeeeeebfeageeeeea aeeeeeeeeeeeeeeebbeeggeeeea aeeeeeeeeeeeeeeedbeeggeeeea aeeeeeeeeeeeeeeeebdeageeeea aeeeeeeeeeeeeeeeebbeegaeeea aeeeeeeeeeeeeeeeefbeeggeeea aeeeeeeeeeeeeeeeeebdeggeeea aeeeeeeeeeeeeeeeeebbeageeea aeeeeeeeeeeeeeeeeefbeegaeea aeeeeeeeeeeeeeeeeeebdeeeeea aeeeeeeeeeeeeeeeeeebbeeeeea aeeeeeeeeeeeeeeeeeefbeeeeea aeeeeeeeeeeeeeeeeeeebbeeeea aeeeeeeeeeeeeeeeeeeedbeeeea aeeeeeeeeeeeeeeeeeeeebfeeea aeeeeeeeeeeeeeeeeeeeebbeeea aeeeeeeeeeeeeeeeeeeeedbeeea aeeeeeeeeeeeeeeeeeeeeebfeea aeeeeeeeeeeeeeeeeeeeeefeeea aeeeeeeeeeeeeeeeeeeeeeeeeea aeeeeeeeeeeeeeeeeeeeeeeeeea ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#79d17bff b,#dc2614ff c,#edddd3ff d,#e56053ff e,#b1e4b2ff f,#ee9c94ff g,#41be44ff ``` ```image ggge agga eggg cgggc ggge agga fc eggg bbbdfc ggge bbbbbbbdfc agga bbbbbbbbbbbdfc egga cfddbbbbbbbbbf cgggc cfdbbbbbd ggge cfbbbc agga bbbf eggg fbbd gggc cbbbc agge dbbf egga fbbb cggg cbbbc ggge dbbf agga fbbb eggg cbbbc gggc dbbd agge fbbb egga bbbf cggg dbbd ggge fbbb agga bbbf eggg dbbd cgggc cbbbc ggge bbbf agga fbbd eggg cbbbc ggge bbbf agga fbbd eggg cbbbc cgggc dbbf ggge fbbb agga cbbbc eggg dbbd gggc fbbb agge bbbc egga dbbd cggg fbbb ggge bbbf agga dbbd eggg cbbb gggc bbbf agge dbbd egga cbbbc cggg bbbf ggge fbbd agga cbbbc eggg dbbf cgggc fbbb agge cbbbc agga dbbf eggg fbbb ggge cbbbc agga dbbd eggg fbbb cgggc bbbf ggge dbbd agga fbbb eggg bbbf gggc dbbd agge cbbbc egga bbbf cggg fbbd ggge cbbbc agga bbbf eggg fbbd gggc cbbbc agge dbbf egga fbbb cggg cbbbc ggge dbbd agga fbbb eggg bbbc gggc dbbd agge fbbb egga bbbf cggg dbbd ggge cbbb agge bbbf ee dbbd cbbbc bbbf fbbd cbbbc dbbf fbbb cbbbc dbbf fbbb cbbbc dbbd fbbb bbbf dbbd fbbb bbbf dbbf cc ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#73cf76ff b,#dc2614ff c,#e6e2d3ff d,#e55f52ff e,#a8e1a9ff f,#ee9d95ff g,#40be43ff ``` ```image ea cagggg caggggge ge eggggge gg caggggac ag aggggge cgc eggggge ga caggggac gg eggggge eg eggggga ge caggggac gg eggggge ag egggggac cg caggggge ga eggggge gg caggggac eg aggggge gc ggge gg c gg cg ge gg ag gc fbbf ga dbbbbbbbbbdc gg cbbbbbf cdbbbbbdc eg fbbbbdc cfbbbbbdf ge dbbbbd fbbbbbbf gg cbbbbbf fdbbbbbfc ag fbbbbdc cdbbbbbdc cgc bbbbd cdbbbbbdf ga bf fbbbbbbf gg fbbbbbbf eg fdbbd ge bb gg cbc ag bb cg db ga bc gg bb eg db ge bf gg bb ag fb cg bf ge bb gg fb ag bd gc bb ga fb gg bd eg bb ge cbc gg bd ag db cgc cbc ga bb gg db eg bf ge bb gg db ag bf cg bb ga fb gg bf eg bb ge fb gg bd ag bb cg fb ge bd bb cbc bb db cbc bb db bf c ```

[ "" ]

I'm approaching this image with caution. Intersections might be tricky to spot. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#f0f4edff b,#cd3c81ff c,#ebdb06ff d,#d3db5dff e,#cc8ba4ff f,#b2d7b1ff g,#a4cfa2ff ``` ```image aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg dccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg acccccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg accccdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg cccccagfcccgffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dcccca agffcccdfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dcccca agfffcccdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg acccca agffffccccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg accccd agfffffdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg dccd agffffffdcccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg c agfffffffdcccffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg agffffffffgcccfffffffffffffffffffffffffffffffffffffffffffffffffffffffffg agffffbbefffcccgfffffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffebbbbfffcccdffffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbbbbbbffcccdfffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbgfbbbbefccccffffffffffffffffffffffffffffffffffffffffffffffffffffg agfffbbfffebbbbfdcccfffffffffffffffffffffffffffffffffffffffffffffffffffg agffebbfffffebbbbdcccffffffffffffffffffffffffffffffffffffffffffffffffffg agffbbefffffffbbbbecccfffffffffffffffffffffffffffffffffffffffffffffffffg agffbbfffffffffebbbbcccgfffffffffffffffffffffffffffffffffffffffffffffffg agfgbbfffffffffffebbbbccdffffffffffffffffffffffffffffffffffffffffffffffg agfbbbfffffffffffffbbbbccdfffffffffffffffffffffffffffffffffffffffffffffg agfbbeffffffffffffffgbbbccdffffffffffffffffffffffffffffffffffffffffffffg agfbbfffffffffffffffffbbbcccfffffffffffffffffffffffffffffffffffffffffffg agebbfffffffffffffffffgbbdcccffffffffffffffffffffffffffffffffffffffffffg agbbbffffffffffffffffffbbbdcccfffffffffffffffffffffffffffffffffffffffffg agbbefffffffffffffffffffbbegcccffffffffffffffffffffffffffffffffffffffffg agbbffffffffffffffffffffbbbffcccgffffffffffffffffffffffffffffffffffffffg aebbfffffffffffffffffffffbbeffcccdfffffffffffffffffffffffffffffffffffffg abbefffffffffffffffffffffebbfffcccdffffffffffffffffffffffffffffffffffffg abbgffffffffffffffffffffffbbbfffccccfffffffffffffffffffffffffffffffffffg abbfffffffffffffffffffffffgbbffffdcccffffffffffffffffffffffffffffffffffg ebbffffffffffffffffffffffffbbbffffdcccfffffffffffffffffffffffffffffffffg bbefffffffffffffffffffffffffbbeffffdcccffffffffffffffffffffffffffffffffg bbffffffffffffffffffffffffffbbbffffffcccfffffffffffffffffffffffffffffffg abbfffffffffffffffffffffffffffbbbffffffcccgfffffffffffffffffffffffffffffg ebbfffffffffffffffffffffffffffebbbffffffcccdffffffffffffffffffffffffffffg bbeffffffffffffffffffffffffffffebbbffffffcccdfffffffffffffffffffffffffffg bbgfffffffffffffffffffffffffffffgbbbffffffccccffffffffffffffffffffffffffg ebbgfffffffffffffffffffffffffffffffbbbefffffdcccfffffffffffffffffffffffffg bbegffffffffffffffffffffffffffffffffbbbefffffdcccffffffffffffffffffffffffg bbagfffffffffffffffffffffffffffffffffbbbbfffffgcccfffffffffffffffffffffffg bbagffffffffffffffffffffffffffffffffffebbbffffffcccgfffffffffffffffffffffg ebbagfffffffffffffffffffffffffffffffffffebbbffffffcccdffffffffffffffffffffg bbeagffffffffffffffffffffffffffffffffffffgbbbffffffcccdfffffffffffffffffffg bbaagffffffffffffffffffffffffffffffffffffffbbbgfffffccccffffffffffffffffffg abb agfffffffffffffffffffffffffffffffffffffffbbbefffffccccfffffffffffffffffg ebb agffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccffffffffffffffffg bbe agfffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccfffffffffffffffg bb agffffffffffffffffffffffffffffffffffffffffffebbbfffffgcccffffffffffffffg abb agfffffffffffffffffffffffffffffffffffffffffffgbbbffffffcccgffffffffffffg bbb agfffffffffffffffffffffffffffffffffffffffffffffbbbgfffffcccdfffffffffffg bba agffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdffffffffffg bb agfffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffccccfffffffffg ebb agffffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffdcccffffffffg bbe agfffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffdcccfffffffg bba agffffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffgcccffffffg abb agffffffffffffffffffffffffffffffffffffffffffffffffffffbbbgfffffcccfffffg ebb agfffffffffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdfffg bbe agffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbefffffcccdffg bb agfffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbbfffffcccffg abb agffffffffffffffffffffffffffffffffffffffffffffffffffffffffebbbfffffcfffg ebb agfffffffffffffffffffffffffffffffffffffffffffffffffffffffffebbbffffffffg bbe agffffffffffffffffffffffffffffffffffffffffffffffffffffffffffgbbbgffffffg bb agggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbegggggg ebb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbeaaaaa bbe bbbb bba ebbb bb ebe ebb a bbe bba abb ebb bbe bb abb bbb bba bb ebb aee ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#f8eadaff b,#ce3b81ff c,#ecdb05ff d,#f6ee8fff e,#da6da0ff f,#f0e343ff g,#eaacc9ff ``` ```image dcccd cccccd cccccc ccccccf faafccccf fcccca fcccca dcccccd dccccc accccf cccccf fccccc fcccca cccccd dcccccd accccc accccfa eeg fccccfa bbbb fccccc gbbbbbbg dccccd ebbbbbbbb cccccd bbbbbbbbbea acccccf abbbggbbbbbbe accccc ebbb aebbbbbea fccccca bbbe gbbbbbbe fccccca gbbbg gbbbbbbg dccccc ebbb gbbbbbbecccccd bbbe gbbbbbbgcccccf bbbg aebbbbbefcccc bbb ebbbbbbecccfa abbb aebbbbbbcccca gbbb ebbbbbbcccc ebbb gbbbbbbcccd bbbe aebbbbbcccf gbbba gbbbbccccf ebbb gbbbbcccca bbbe bbbbccccca gbbbg bbbbdcccccd bbbe abbbbadccccc abbbg gbbbe accccf gbbbg bbbbg cccccf bbbb ebbbg fcccca bbbb abbbb fcccca bbbb bbbb cccccd bbbb bbbba dcccccd gbbbg bbbbg accccf gbbba gbbbe fccccf ebbb ebbbg afccccfa abbbe abbbb fccccc ebbb abbbb cccccd bbbe bbbb dcccccd bbbg bbbbg acccccf bbba gbbbe accccc bbe abbbb fccccca bbg ebbbe fccccc bba abbbba dccccd bb gbbbbg dccccd bb gbbbbbe acccccf bb abbbbb accccc be abbbbea accccfa bg ebbbbbg fccccca b gbbbbb dccccc e gbbbbe dccccd g bbbbbe cccccf aebbbbb afccccf ebbbbg fcccca bbbbbg ccccca gbbbbbg dcccccd abbbbe dccccd abbbbba accccf ebbbbba cccccf ebbbbb afccccf bbbbbe ccccca abbbbbe dcccccd aebbbbe dcccccd bbbbbg accccf gbbbbbg cccccf gbbbbbe afccccf abbbbb fcccca ebbbbba cccccd ebbbbb dcccccd gbbbbg accccc gbbbbe accccf abbbbbe fccccca ebbbba fccccc bbbbbg dccccd gbbbbbg cccccd gbbbbb acccccf abbbbea accccc ebbbbba accccfa ebbbbb fccccca gbbbbg dccccd bbbbbe dccccd abbbbbe cccccd bbbbba afcd ebbbbbg d gbbbbbg gbbbbb ebbbbea ebbbbba ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#f8e7e1ff b,#ce3b81ff c,#eddb05ff d,#f6ef94ff e,#db73a5ff f,#f1e444ff g,#eaaecaff ``` ```image dcc accccc ccccfccc ccccc ccca fcccc cccd dcccca cccd dccccd cccf accccd fccc dccf dccc c dccc accca bbg ccca gbbbb cccd bbbbbbe cccf bba bbbbg fccf bb gbbbbafccc ebb ebbbedccc bbe bbbbgccc bb gbbbbccca abb ebbbbccd ebb bbbbccd bbg abbbccf bb bbbccc gbb abbdccc bbe bbbdccc bbg bbgaccc bb ebb ccca gbb bbe cccd bbe gbb cccf bba bbb fccf abb abba fccc ebb bbb dccc bbg bbg dccc bb ebb accca abb bbb ccca ebb gbbb cccd bbg gbbb cccf bb abbba fccf gbb bbbg fccc bbe bbbe dccc bba bbbe accc bb ebbb ccca ebb gbbb cccd bbe abbba cccd bba bbba cccf abb bbbg fccc ebb bbbe dccc bbg ebbb dccc bb gbbb accc gbb abbb ccca bbb bbba cccd bbg bbbg cccf bb bbbe fccf gbb ebbb fccc bbe gbbb dccc bba gbbb accc abb abbba accca ebb bbbg cccd bbg bbbe cccd bb ebbb ccc abb ebbb f ebb gbbb bbg abbba bb bbbg gbb bbbe bbe bbbe bba ebbb bb gbe gbb a bbe bba abb ebb bbg bb gbb bbb bbg bb gbb aee ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#e05ae5ff b,#a577b7ff c,#f1b9f3ff d,#d4bedcff e,#f2e1f4ff f,#ba96c7ff g,#e98becff ``` ```image bbd bf bf fb bb db fb be dbe bd ebd bf bf fb bb db fb eb dbe bd ebf bf bb fb bb db dbe eb ebd be bf bf bb fb fb db dbe eb ebd be bf bf bb fb fbe db dbd eb bf be b bd bb db eb be bd bb db eb be bd bf fb eb be bd bf fb edfb edfbbbbbfd bbbbfde c gaaaac ga caaage ca gaaage ca egaaag ca egaaac ea caaaac eae caaage eae gaaage ae egaaac ac egaaac ac caaaac ag caaage ag egaaag ag egaa ag aa aa aa ga ga ga ca ca ca ea eae eae ae ac ac ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#bdd53fff b,#04b29bff c,#e6efb7ff d,#55cbbbff e,#d3e37fff f,#a0e1d8ff g,#ecf6e4ff ``` ```image bbf fbbbbbd gdbbbbbbf fbbbbbbdg gdbbbbbbf fbbbbbbbbbbdddfffgg gdbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddfffgg gffffdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddffffg ggfffddddbbbbbbbbbbbbbbbbbbbbbbbbbbd ggfffdddbbbbd g aae aaaaa cae aaa aaa aa aaa aaag aag eaa eaac cae caa caae aa gaag gaaa aag aac aaa caa aae aaag aa aae eaac aag aaa caae gaa eaa gaaaae aa eaa aaae aac caa gaa gaag aa aac eac aae gaa aaa aa aaa eac eaa aa caa aa gaag eac aac aa aae aa aae eae aaa aa eaa aa eaa eae caa aa gaag aa aac cae aae aa aaa aa aaa cae eaa aa caa aag gaag cae aac aa eae aag aa gaa caa aa aag aag aa gaa eae aa aa eac gaa gaa aag aa aa eac eae aa aa aa gaa eac aag aa aa aa eae eae aa aa gaa aa aac eae aa aa cae aa aa caeaa aaac aaa cae c ```

[ "" ]

Here's an image. My task is to find intersections or areas where lines come close together. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#e0955bff b,#a21fc9ff c,#eebd9aff d,#dc7023ff e,#f0d5e2ff f,#c176d8ff g,#aed5aeff ``` ```image bf ebf fb bb bb bb ebf fb bb bb bb ebf fbe bb bb gggggggggggggggg bb gggggggggggggggg ebf gggggggggggggggg fbe gggggggggggggggg bb gggggggggggggggg bb gggggggggggggggg bb ggggggggggggggggebf ggggggggggggggggbbe gggggggggggggfbbbb gggggggggggfbbbb gggggggggbbbbfgg gggggggbbbbfgggg gggggbbbbfgggggg gggbbbbggggggggg fbbbbggggggggggg fbbbbggggggggggggg fbbbfggggggggggggggg bbbbf gggggggggggggggg ebbbbe gggggggggggggggg ebbbbe gggggggggggggggg fbbbb gggggggggggggggg fbbbf gggggggggdaggggg fbbbf ggggggggdddggggg bbbbf gggggggddddggggg ebbbbe ggggggddaadggggg ebbbbe gggggaddggdagggg fbbbb edd dd fbbbf dd dd fbbbf dde cdc bbbbf dda dd ebbbbe add dd ebbbbe cdd ad fbbbb dd eda fbbbf dde dd fbbbf ddc dd bbbbf add cdc ebbbbe cdd dd ebbbbe edd dd fbbbb dde ad fbbbf ddc edc bbbbf ada dd bbbbf cdd dd bbe edd cde e dd da ddc dd dda dd add cdc edd dd dd dd dde ade dda da add dd cdd dd dd cdc dde dd ccddc dd ecaddddddddd ade ecaddddddddddddace eda ccadddddddddddace dd ecadddddddddddacc dd addddddddddddace cdc dddddace dd dd ad eda c ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#e79f6bff b,#a31ec9ff c,#f0c4a5ff d,#dc7024ff e,#d8a0e8ff f,#be61d9ff g,#efd7ecff ``` ```image ef ebbb ebbbbb gfbbbbbbb gfbbbbbbbfg gfbbbbbbbfg efbbbbbbbfg ebbbbbbbbe ebbbbbbbbe gfbbbbbbbfe gfbbbbbbbfg gfbbbbbbbfg efbbbbbbbfg ebbbbbbbbe bbbbbbbbe bbbbbfe bbbfg bfg g gac gdddc dddda addddd addddddc cddddddda gddddadddd gdddda adddg ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#e69b66ff b,#a21ec9ff c,#f0c3a4ff d,#dc7024ff e,#dba8eaff f,#bf64d9ff g,#f5e1e2ff ``` ```image bf ebe fb bb bb bb ebe fb bb bb bb ebe fbg bb bb bb gbf fbg bb bb bb gbf ebbg ebbbb fbbbf fbbbf bbbbe gbbbbe ebbbbg ebbbb fbbbf fbbbf bbbbe gbbbbe ebbbbg ebbbb fbbbf gdc fbbbf ddd bbbbe dddd gbbbbe ddaadg ebbbbg add gda ebbbb gdd dd fbbbf dd dd fbbbf ddc cdc bbbbe dda dd gbbbbe add dd ebbbbg cdd adg ebbbb gdd gda fbbbf ddg dd fbbbf dda dd bbbbe add cdc gbbbbe cdd dd ebbbbg gdd dd ebbbb ddg ad fbbbf ddc gda fbbbf dda dd bbbbe cdd dd bbe gdd adg g ddg da ddc dd dda dd add cdc gdd dd dd dd ddc adg dda gda add dd cdd dd gdd cdc ddg dd cadda dd gcaddddddddd adg gcaddddddddddddacg gda caddddddddddddacg dd gcadddddddddddaac dd addddddddddddacg cdc dddddacg dd dd ad gda c ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B.  ```palette Key,Color ,#fefefeff a,#9cbc9aff b,#0cecccff c,#66685bff d,#68ebd1ff e,#e4f3edff f,#878d7fff g,#b1d5b1ff ``` ```image e cc cfc cca cc cg cecccg ac ac ec gcccg gc c gc gcccg ece ce af gccce cg ac ff accce eeeeeeeeeeeeee cf c fa acccagggggggggggga fc ce cg afccfgggggggggga ac af ce agggfccfggggggga ec c ce aggggggcccfgggga ce ce c aggggggbbacccfga ca ff c agggggdbbgggaccca cf ec c agggggbgbdgggggfcccg fc ce c aggggdbgdbggggga gcccc ff c aggggbgggbggggga g ec ec agggdbgggbdgggga c gc agggbdgggdbgggga ff gc aggdbgggggbgggga ec af aggbdgggggbdggga c fa aggbggggggdbggga ca cg agbdgggggggbggga ec cg agbggggggggbdgga c ce abdggggggggdbgga ca c abggggggggggbgga gc c bdeeeeeeeeeebee c c b db cg c bd b gc c b be c ec bd db cg ec b b gc gc bd be c af b db cg fa db b gc cg b be c cg db db cg ce b b ac c db be c b db ce db b ac be be c db db ce be b ff db be c be db ce db b ff be be ec eb db ce be b ff eb be ec bd db c eb b fa bd be ec eb db c bd b ca eb bb ec bd dbd c b bbe ca bd ebb gc b dbd c bd bbe cg b dbb gc bb bbd c b ebb cg db dbd gc b bbe eeeeeeeeeeeeeceeeeee db ebbeaggggggggggggcaggggg b dbdggggggggggggfcggggg db ebbggggggggggggcggggg be egdbbggggggggggcagggg egggbbdggggggggfcgggg egggggbbggggggggcgggg eggggggdbdggggggcgggg eggggggggbbgggggggggg egggggggggdbbgggggggg egggggggggggbbdgggggg egggggggggggggbbggggg eggggggggggggggdbgggg egggggggggggggggggggg egggggggggggggggggggg egggggggggggggggggggg ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#9a9f96ff b,#07ebcbff c,#686a5dff d,#74f4e1ff e,#c2f8f0ff f,#33efd4ff g,#cccdc8ff ``` ```image cae cccca acccccag gacccccag gacccccag gacccccag gacccccag gccccccag bbaccccccag dbbb eaccccccag bbbbe gacccccca dbbfbd gacccc bbddbb gac dbbeebbe bbd fbd dbbe dbb fbf ebbe ebbe fbd fbf dbb ebbe ebbe fbf fbd ebbe dbb fbf ebbe ebbe fbd fbf dbb ebbe ebbe fbf fbd ebbe dbb fbf ebbe ebbd fbd dbb dbb ebbd ebbe dbb fbd ebbd dbb dbb ebbe bbd fbd ```  Area A is clear of intersections, but the search continues. Now, let's dive into another area. Let's zoom in on area B to get a clearer view.  ```palette Key,Color ,#fefefeff a,#a7a8a1ff b,#09eccbff c,#696b5fff d,#7ff4e4ff e,#c4faf2ff f,#40f0d6ff g,#dadbd8ff ``` ```image acc gccg e cca bd acc bbfe gccg dbbbf cca efbbbd acc dbbbfe gccg efbbbd cca ebbbbe acc dbbbfe gccg efbbbd cca dbbbfe acc fbbbd gca efbbbd dbbbfe efbbbd ebbbbe dbbbfe efbbbd dbbbfe fbbbd ebbbbe dbbb efd ```  Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#b2b3acff b,#0decccff c,#66685bff d,#6cf3e0ff e,#bff9f1ff f,#8b8d84ff g,#d8d8d5ff ``` ```image cc cfc cca cc cg cgccca fc ac gc gccca gc c gc acccg cg cg af acccg ca ac ff acccg cf c fa accfg fc cg ca fccf ac ff cg fccf gc c c fccf cg c c bbgfcca ca ff c dbb gccca cf c c bebe gccca fc c c db db gcccc ff c be b a c gc eb be c gc be db ff ac eb b gc af be be c fa eb db ca ca be b gc cg eb be c cg bd db ca c b b gc c bd be c c b db ca c bd b gc c b be c c bd db ca gc b b ac ac bd be c af b db cg ff bb b ac ca b be c cg db db cg cg b b ac c db be c b db cg db b ac b be c db db cg be b ff db be c be db c eb b ff be be c eb db c be b ff eb be gc be db c eb b ff bd be gc b db c bd b ca b bb gc bd dbd c b bbe ca bd ebb gc b dbd c bd bb ca b dbb gc bb bbe c b ebb ca db dbd ac b bbe c db ebb cg b dbd ac db bb c b dbb cg bbe ac ebb c dbd c bbe ebb bbd bb db ```

[ "" ]

This image seems promising for intersection detection. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#7d7e49ff b,#29cffcff c,#e8f2eeff d,#abebfdff e,#65daf5ff f,#9cbc8fff g,#b2d6b1ff ``` ```image cbb dbbbb cbbbbbbbe ebbbbbbbbe c dbbbbbbbbbd dbb ebbbbbbbbe dbbbd dbbbbbbbbbc bbbb cebbbbbbbbd cbbbe dbbbbbbbbe bbbb cbbbbbbbbbd cbbbe ebbbbbbbbe caabbbb dbbbbbbbbbd aaabbbbccccccccc ebbbbbbbbe aaabbbbggggggggfc dbbbbbbbbbc faaabbbbggggggggc ebbbbbbbbd faaafbbbegggggggc bbbbbbbe ffaaabbbbgggggggc bbbbbbd fgaaaabbbeggggggc bbbbb fgfaaabbbbggggggc bbbbb fggaaaabbbegggggc bbbbb fggaaaabbbbgggggc bbbbb fgggaaafbbbbggggc bbbbb fgggaaaaebbbggggc ebbbb fgggfaaafbbbbgggc ebbbb fggggaaaaebbbgggc ebbbb fggggfaaagbbbbggc ebbbb fgggggaaaagbbbegc ebbbb fgggggaaaagbbbbgc ebbbbc fggggggaaaagbbbec dbbbbc fggggggaaaagbbbbc dbbbbc fgggggggaaafgbbbb dbbbbc fgggggggaaaagebbbc dbbbbc fgggggggfaaafgbbbb dbbbbd fggggggggaaaagebbbd dbbbbd fggggggggfaaaggbbbb cbbbbd fgggggggggaaaaggbbbd cbbbbd fgggggggggaaaaggbbbb cbbbbd fggggggggggaaafgcbbbecbbbbd fggggggggggaaaagcbbbbbbbbe fggggggggggfaaagc bbbbbbe fgggggggggggaaagc ebbbbe fgggggggggggaaafc bbbe fgggggggggggaaafc cbd fgggggggggggaaafc fgggggggggggaaaac gfffffffffffaaaa faaa gaaa caaa aaa aaac aaag aaaf aaaa aaaa faaa gaaa caaa aaa aaac aaag aaaf aaaa faaa faaa gaaa caaa aaa aaaafg aaaaaaaaaafg aaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc gfaaaaaaaaaaaaaaaaaaagc gfaaaaaaaaaaaaaaaaaaagc gfaaaaaaaaaaaaaaaaaafgc cgfaaaaaaaaaaaaaaaaaafg cgfaaaaaaaaaaaaaaaaaafg cgaaaaaaaaaaaaaaaaaaafg cgaaaaaaaaaaaaaaaaag cfaaaaaaaaaaac cfaaaaa c ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#7d7d48ff b,#29cffcff c,#d8d8c8ff d,#bbeffdff e,#73ddfaff f,#b3b495ff g,#8b9670ff ``` ```image gaaaaabbbbbbbb caaaaagbbbbbbbe aaaaaabbbbbbbb faaaaaabbbbbbbe aaaaaagbbbbbbbd faaaaaabbbbbbbe caaaaaagbbbbbbbd gaaaaaabbbbbbbb caaaaaagbbbbbbbd gaaaaaabbbbbbbb faaaaaagbbbbbbbe aaaaaaaebbbbbbb faaaaaagbbbbbbbe aaaaaaaebbbbbbbd faaaaaagbbbbbbbe caaaaaaaebbbbbbbd gaaaaaafbbbbbbbb caaaaaaadbbbbbbbd aaaaaaafebbbbbbb faaaaaaadbbbbbbbe aaaaaaacebbbbbbb faaaaaagdbbbbbbbe caaaaaaacebbbbbbbd gaaaaaag bbbbbbbe caaaaaaacebbbbbbbd gaaaaaaf bbbbbbbb caaaaaaa dbbbbbbbd aaaaaaaf ebbbbbbb faaaaaag dbbbbbbbe aaaaaaac ebbbbbbb faaaaaag dbbbbbbbe caaaaaaac ebbbbbbb gaaaaaaf bbbbbbb caaaaaaa ebbbbbb gaaaaaaf bbbbbb faaaaaaa dbbbbb aaaaaaac bbbbb faaaaaag dbbbb caaaaaaac ebbb gaaaaaag dbbb caaaaaaac ebb gaaaaaaf bb caaaaaaa eb aaaaaaaf b faaaaaaa d aaaaaaac faaaaaag caaaaaaac gaaaaaaf caaaaaaa gaaaaaaf faaaaaaa aaaaaaac faaaaaaf caaaaaaf aaaaaag aaaaaag gaaaaaa gaaaaaa faaaaaa faaaaaa caaaaaa caaaaaa caaaaaa aaaaaa aaaaaa ```  This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#7d7d48ff b,#29cffcff c,#d9d9caff d,#c3f1feff e,#78e0fdff f,#b3b394ff g,#90956cff ``` ```image bb ebbbb dbbbbbbbe ebbbbbbbbe dbbbbbbbbbd dbb ebbbbbbbbe dbbbd dbbbbbbbbbd bbbb bbbbbbbbbe dbbbe ebbbbbbbbb bbbb dbbbbbbbbbd bbbe ebbbbbbbbe caabbbb dbbbbbbbbbd aaabbbb ebbbbbbbbe aaabbbbd dbbbbbbbbbd aaabbbb bbbbbbbbbe aaagbbbd bbbbbbbb caaabbbb bbbbbbd aaagbbbe bbbbb faaabbbb bbbbb aaagbbbe bbbbb gaaabbbb bbbbb aaafbbbb bbbbb aaaaebbb bbbbb caaacbbbb ebbbb aaaaebbbd ebbbb caaa bbbb ebbbb aaagdbbbe ebbbb faaa bbbb ebbbb aaaf bbbe ebbbb gaaa bbbb ebbbbd aaac bbbb dbbbbd aaaa ebbb dbbbbd caaac bbbb dbbbbd aaaa ebbbd dbbbbd faaa bbbb dbbbbd aaag dbbbe dbbbbd gaaa bbbb dbbbbe aaaf bbbe bbbbe aaaa bbbbbbbbe caaa bbbbbbe aaa ebbbbe aaa bbbe aaac dbe aaaf aaag gaaa faaa caaa caaa aaa aaac aaac aaaf aaag gaaa faaa caaa aaa aaa aaac aaac aaaf aaag gaaa faaa caaa aaa aaa aaaafc aaaaaaaaaafc gaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaaafc cfaaaaaaaaaaaaaaaaaagfc cfaaaaaaaaaaaaaaaaaagfc cfaaaaaaaaaaaaaaaaaagf cgaaaaaaaaaaaaaaaaaagc cgaaaaaaaaaaaaaaaaaagc fgaaaaaaaaaaaaaaaaaafc fgaaaaaaaaaaaaaaaaaafc cfgaaaaaaaaaaaaaaaaf cfgaaaaaaaaaac cfaaaaa c ```

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This image looks interesting. I wonder if there are any intersections hidden in there? I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#846f1bff b,#4403f6ff c,#ad97f3ff d,#b4d7b2ff e,#6f42f3ff f,#a1c292ff g,#a29556ff ``` ```image fdddddddddddddddddddddd fdddddddddddddddddddddd fdddddddddddddddddddddd bec fdddddddddddddddddddddd ebbbbbbbbec fdddddddddddddddddddddd cbbb cebbbbbbbbec fdddddddddddddddddddddd bbbc ccbbbbbbbbbecdddddddddddddddddd ebbe cebbbbbbbbbecdddddddddddd cbbbb fdddcebbbbbbbbbefdddddd cbbbbe fdddddddddcebbbbbbbeddd ebbbbc fdddddddddddddddcebcddd ebbbbc fdddddddddddddddddddddd cbbbbe fdddddddddddaaddddddddd cbbbbe fddddddddddaaagdddddddd ebbbbc fdddddddddaafaadddddddd cbbbbc fdddddddfaafdgafddddddd bbe fddddddfaafdddaaddddddd cbc fdddddfaafddddaaddddddd bb fddddfaadddddddaadddddd be dfffgaaffffffffaaffffff bb faa dag bb faa aa cbc gaa fad bb gaa aa be gaa ga bb gaa ag bb aaa cbc aaa bb aag be aag eb aag bb aag cbc aaf bb aad be aad eb aad bb aad cbc daa bb daa be daa eb faa bb faa cbc gaa bb gaa bb gaa eb gaa bb aaa cbc aaa bb aag bb aag eb aag bb aag cbc aaf bb aad bb aad eb aad bb aa cbe daa daa daa faa faa gaa gaa gaa gaa aaa aaa aag aag aag aag aaf aad aad aad aa daa daa daa faa faa daa g ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#85701cff b,#4403f6ff c,#a486faff d,#dfd9c4ff e,#7545f8ff f,#d0c1fcff g,#aa9b62ff ``` ```image eecff bbbbbbeecff bbbbbbbbbbbbeecf ebbbbbbbbbbbbbbbbbeecf fceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbbbbeccf ffceebbbbbbbbbbbbbbe fccebbbbbbbbbc fccebbbf f gaad gaaag gaaaaad gaaaaaag gaaaaaaaa gaaaaddaaag gaaaad aaaa aaaaad gaaad daaaaad aaag daaaaad gaaad daaaaad daaag daaaaad gaaa daaaaa daaag daaaag aaaa daaaag gaaad ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#846f1bff b,#4505f7ff c,#b8a0fbff d,#cac19eff e,#8054f9ff f,#e8e2e6ff g,#a39456ff ``` ```image fbecf bbbbbbbbbec cbbb febbbbbbbbbec fbbbc febbbbbbbbbec ebbe cebbbbbbbbbec cbbbb cebbbbbbbbbef cbbbbbf cebbbbbbbe fbbbbbc cebc ebbbbc cbbbbe aa cbbbbbf aaag fbbbbbc aadaa ebbbbc faaf dad bbe faaf aa ebc faaf gaf bb daaf aa fbe daa aa bb daa fag bb daa aa cbc gaa dad bb gaa aa fbe gaa gaf bb gaa ag bb aaa cbc aaa bb aag fbe aag bb aag bb aag cbc aad bb aad be aad eb faaf bb faaf cbc faaf bb daaf bb daa ebf daa bb daa cbc gaa bb gaa bb gaa ebf gaa bb aaa cbe aaa bb aag bb aag ebf aag bb aag cbe aad bb aad bb faad ebf faaf bb faaf fbe faaf daaf daa daa daa gaa gaa gaa gaa aaa aaa aag aag aag aag aad aad faad faaf faaf faaf daaf daa daa daa daa g ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#0c40a4ff b,#f0e087ff c,#869fd1ff d,#f4eab1ff e,#4a70baff f,#c3d0e8ff g,#f9f4dcff ``` ```image g bbb gbbbb dbbbbb dbbbbbbg bbbdbbbbg bbbg bbbbd bbb bbbbd bbb bbbbb bbb bbbbb bbg bbb dbbbb bbbbg bbb dbbbb bbbbbd gbbb gbbbbg dbbbbbbb gbbb gbbbbg bbbgbbbbb dbbd bbbbd gbbb dbbbb dbbg bbbbb bbbd dbbbbg bbbg bbbbb bbb gbbbbg bbb bbbbb bbbb bbbbd bbb dbbbb bbb bbbbb bbb gbbbbg dbbb bbbbb bbb gbbbbg bbbg dbbbb bbb bbbbd dbbb dbbbbg bbb bbbbd bbbg gbbbbg gbbb bbbbb gbbb bbbbd dbbd bbbbb bbbd bbbbg dbbd dbbbb bbb bbbb bbbg dbbbb bbbb bbbd bbbg gbbbbg bbb dbbb bbb bbbbg gbb bbbbbbb bbbbd bbbbbb bbbbb dbbbbb bbbbb bbbbb dbbbb gbbbb dbbbb bbbb gbbbbg bbg gbbbbg bbbbd bbbbd bbbbb bbbbb dbbbb dbbbb gbbbbg bbb bg f eaae aaaaaac eaaaaaaaaf faaaaaaaaeg caaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaae caaaaaaaae eaaaaaaaac geaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaac feaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaaaf faaaaaaaae caaaaaaaac eaaaaaaaaf faaaaaaaaef caaaaaaaae caaaaaaaac eaaaaaaaaef faaaaaaaaaaf faaaaaaaaaac feaaaaaaaaaf eaaaaaa caaa f ```

[ "" ]

This image has no intersections, it's quite obvious.

0

```palette Key,Color ,#fefefeff a,#c1a2acff b,#e0ceadff c,#b18996ff d,#e9ded7ff e,#d8c297ff f,#d4bec5ff g,#f4efecff ``` ```image ebd eeeeeeebd eeb dbeeeeeeebd dee dbeeeeeeebd gee dbeeeeeeebd eeg dbeeeeeeebd eed dbeeeeeeebd beb dbeeeeeeebd gee dbeeeeeeebd ee dbeeeeeeb eeg dbed eeb dee gee eeg eed beb gee ee eeg beb dee gee eeg eed beb gee ee eeg beb dee gee eeg eed beb gee ee eeg beb g dee gcc gee dccc eeg fccac eed acc fcg bee ccc dcd gee ccc gcf ee cca ca eg gcca cc gccf cc dccd cc fccg cc acc cc ccc ac gc ccc fc gcca cca fcd gccccg gccf dcf gccdgcc dccd gcf ccd acd fccg ca ccd cc acc cc ccf fca acc cc ccf cc ccc cc ccf gcc cca cc ccf ccd cca cc cca cc gccf ac cca acf dccd fcg cca cc fccg dcd cca dcc acc gcf cca ccg ccc ca ccc cc ccc cc dcc acf cca cc d cc gccf cc fca dccd cc cc fccg cc gcc accg ac ccd acc ac cc ccc fcg fca ccc dcd cc cca gcf dccgccf ccccd ccg g ```

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I have an image in front of me. I need to determine if there are any intersection segments. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#af869dff b,#b1d8b2ff c,#d8bdceff d,#ebf5ebff e,#944878ff f,#8ff89bff g,#a1d1a1ff ``` ```image c aea aea aea aeaddddddddddddddd aeagggggggggggggg dgeeabbbbbbbbbbbg dgbbeeabbbbbbbbbg dgbbbbeeabbbbbbbg dgbbbbbbeeabbbbbg dgbbbbbbffeeabbbg dgbbbbbbffbbeeabg dgbbbbbfggfbbbeea dgbbbbbfbbfbbbbbeec dgbbbbfbbbfbbbbbgdeec dgbbbgfbbbfgbbbbg deec dgbbbfbbbbbfbbbbg deec dgbbffbbbbbfbbbbg deed dgbbfbbbbbbfbbbbg deed dgbfgbbbbbbgfbbbg deed dgbfbbbbbbbbfbbbg deed dgfbbbbbbbbbfbbbg deed dffbbbbbbbbbfgbbg deed dfbbbbbbbbbbbfbbg ceed ffbbbbbbbbbbbfbbg ceed fgbbbbbbbbbbbfbbg ceed fdgbbbbbbbbbbbgfbg cee dfdgbbbbbbbbbbbbfbg cee f dgbbbbbbbbbbbbfbg cee bf dgbbbbbbbbbbbbfgg cee f ggggggggggggggfg cee fd f cee df fd cee fd db cea df f cea f df aea fb bf aa f fb e fd fd ed f ce df e bf ac fb de fd e f aa df e ff ed fd ce fd e df ec df de ff e fd aa fd e df ed df ca ff e fd dddddddddddecddddd f dggggggggggggeggggg df dgbbbbbbbbbbbebbbbb bf dgbbbbbbbbbbbeabbbb fb dgbbbbbbbbbbbbebbbb fd dgbbbbbbbbbbbbebbbb f dgbbbbbbbbbbbbbbbbb df dgbbbbbbbbbbbbbbbbb bf dgbbbbbbbbbbbbbbbbb fb dgbbbbbbbbbbbbbbbbb fd dgbbbbbbbbbbbbbbbbb f dgbbbbbbbbbbbbbbbbb df dgbbbbbbbbbbbffbbbb bf dgbbbbbbbbbffgbbbbb fb dgbbbbbbbfffbbbbbbb fd dgbbbbbfffbbbbbbbbb f dgbbbgffbbbbbbbbbbb df dgbgffbbbbbbbbbbbbb bf dgffbbbbbbbbbbbbbbb fb dffbbbbbbbbbbbbbbbbb fd ffdgbbbbbbbbbbbbbbbbb f ffd dgbbbbbbbbbbbbbbbbb dfd dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb dgbbbbbbbbbbbbbbbbb ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#9f5a86ff b,#a8fab2ff c,#d1b1c5ff d,#e0fde4ff e,#924375ff f,#8cf999ff g,#c4fccbff ``` ```image ec eeec caeeec caeeec caeeac caeeac caeeac caeeac caeeac caeeac faeeac gffcaeeac dfffb caeeac bfbff caeeac dff bfd caeeac ffg gfb caeea gff dff cae ffd ffd c bfb bfg dffd dfb bfg ff dff bfd ffg gfb gfb dff dffd ffd bfb bfg dffd dfb bfg ff gff bfg ffd gfb gfb dff dffd ffd bfb gfg dff dfb ffg ff gff bfg ffd gfb bfb dff ffd ffd fg gfg f dfb g ff bfg gfb dff ffd gfg dfb ffd bfg ```  Based on this close-up, I can conclude that there's no intersection in area A. Right then, let's explore the next spot. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#bd8dabff b,#a9fab3ff c,#e8fbebff d,#c9fccfff e,#96497aff f,#8dfa9aff g,#e0cbd8ff ``` ```image aea gee eeg aea ceec aea gee eeg aea gee g dfd dfffb cbfffd cbfffd cbfffd cbfffd cbfffbc dfffbc dfffbc dfffbc dfffbc dffffd cbfffd cbfffd cbfffd fffdc fbc c ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#aa6c94ff b,#aefbb7ff c,#cca7beff d,#d6fcdbff e,#934577ff f,#8cf99aff g,#e7d6e0ff ``` ```image c aec aec aec aec aec aec aec aec aec bfeec ff eec fddb eeg f f eeg fd f eeg df bd eeg f df eeg bb f eeg f f geeg fd db geeg df f geeg f f geeg df bd geeg f df gee bb f gee f f gee fd db gee df f gee f f cee bb bd cee f f cea fd f cea f f cea f db cea df f cea f df cea bb bf aa f fb e fd fd eg f ge df e bf ac fd e f e f ca df e bb eg fd ca f e f ag df ge bb e fd ac f e f e df ca bb e fd eg f ge f e df ac fb e fd e f df bf fb fd f df ff bf bfd fb bfb fd bfb f dfb df dff bf dff fb ff fd ffd f ffd dfd ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#3d6041ff b,#9fba88ff c,#5e9622ff d,#143e18ff e,#799b64ff f,#c2d3b4ff g,#e3eaddff ``` ```image add gdddddd fddddddddd bddddde adda edddddb ddda adddddf ddde adddddg dddb gdddddag dddf fddddda dddg bddddde gdddg edddddb gddd adddddf fddd gddddddg bddd fddddda eddd bddddda addd eddddde add adddddb d adddddf gddddddg fddddda bddddde edddddb adddddf gadddddg gddddda fddddda bddddde edddddb adddddf gddddddg fddddda addde de ccccef bcccccccccbg cccbccccccccccef bccg feccccccccccbg ccc gbcccccccccccf bccg feccccccccccef ccc fcccccccccccbg bccg gbccccccccccef ccc feccccccccccbg bccg gbccccccccccef ccc feccccccccccbg bccg bcccccccccccb ccc gbcccccccccc fccg feccccc ccc gbe fccf ccc fccf ccc fccf ccc fccf ccc fccf ccc gccf ccc gccf ccc gccb ccc gccb ccc gccb ccc gccb ccc gccb ccc gccb ccc ccb ccc cce ccc cce ccc gce ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#3f07aaff b,#36f2e3ff c,#a68cd7ff d,#befaf5ff e,#75f5ebff f,#7a54c4ff g,#d6cbedff ``` ```image af aaaaf aaaaaaaf faa aaaac gaag aaaac aac gaaaac aaa gaaaac aaa gaaaag caa gaaaag gaag gaaaag aaf caaaag aaa caaaag faa caaaa caa caaaa aac faaaa aaf faaaa aaa faaaf faa faaaf gaag aaaaf aac aaaaf aaa aaaaf aaa aaaac caa aaaac gaag gaaaac aaf gaaaac faa gaaaag g gaaaag caaaag caaaag caaaa caaaa faaaa fac ed ebbbb dbbbbbe dbbbbbe be dbbbbbbd dbbd ebbbbbd dbbd ebbbbbd ebb ebbbbbe ebb dbbbbbe bbb dbbbbbbd bbb ebbbbbd bbb ebbbbbd bbe ebbbbbe bbe dbbbbbe dbbd dbbbbbbd dbbd bbbbbbd ebb dbbbbbd ebb dbbbbe bbb dbbbbd bbb dbbbbd bbb dbbbbd bbe dbbbbd bbe dbbbbd dbbd dbbbbd dbbbbbbd ebbbd dd ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#519aacff b,#3d8309ff c,#a8c791ff d,#bcd7d4ff e,#7fad5dff f,#e7f0ebff g,#80b5c2ff ``` ```image dd febbbbe cbbbbbbbbbf febbbbbbbbbbbbb cbbbbbbbbbbbc fbbbe dbbbbbbbbbbbef ebbbf febbbbbbbbbbbd bbbb cbbbbbbbbbbbc fbbbe debbbbbbbbbbef ebbbf ebbbbbbbbbbbc bbbb cbbbbbbbbbbbef fbbbe febbbbbbbbbbed ebbbf cbbbbbbbbbbbc bbbb dbbbbbbbbbbbef fbbbe febbbbbbbbbbbd ebbbf cbbbbbbbbbbbc bbbb bbbbbbbbed fbbbe bbbbbc ebbbf cef bbbb fbbbe ebbbf bbbb fbbbe ebbbf bbbb fbbbe ebbbf bbbb fbbbe dag ebbbf aaaag bbbb faaaaaag fbbbe daaaaaaa ebbb daaaaaaa bbbb faaaaaaaf fbbbe faaaaaaaf ebbb faaaaaaaf bbbb aaaaaaad fbbbe aaaaaaad ebbb gaaaaaad bbbb gaaaaaad fbbbe gaaaaaag ebb gaaaaaag c gaaaaaag daaaaaag daaaaaag daaaaaaa daaaaaaaf faaaaaaaf faaaaaaaf faaaaaaaf aaaaaaad aaaaaaa gaaaag gaaa aaa aaad gaaa aaa aaaf gaag faaa aaa aaag daaa aaa ag aaad gaaa gaaa daaaaag aaa faaaaaaf aaaf aaaaaad gaag gaaaaag faaa daaaaaa aaa faaaaaaf aaag aaaaaad daaa gaaaaag aaa daaaaaa aaad faaaaaaf gaaa aaaaaad aaaaaaaag aaaaaaa gaaaaf aad ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#24eda4ff b,#5ebe4bff c,#97f6d3ff d,#8acf7dff e,#d8f7e5ff f,#5ff1bcff g,#b8e2b0ff ``` ```image dbb gbbe bbb gbbe be bbb dbbb ebbg gbbbbd bbb bbbbb ebbg dbbbbe bbb gbbbbg bbd ebbbbd bbb bbbbb bbd dbbbbe dbb gbbbbg bbd ebbbbb dbb bbbbbe bbb gbbbbg dbb ebbbbd bbb bbbbb gbbe dbbbbe bbb gbbbbg gbbe ebbbbd bbb bbbbb ebbg dbbbbg bbb ebbbbd ebbg bbbbb bbb dbbbbe bbd gbbbbg bbb ebbbbd bbd bbbbb dbb dbbbbe faa bbb gbbbbd eaaaaae dbb bbbbb caaaaaaac bbb dbbbbe faaaaac aaf gbbe gbbbbg caaaaaae aaa bbb dbbbbd faaaaaf faa gbbe dbbbbbb eaaaaaac caa bbbbbbbbbe caaaaaa eaa gbbbbbe faaaaac aa dbe eaaaaaae aae faaaaaf aac eaaaaaac aaf caaaaaa aaa faaaaac faa eaaaaaae caa faaaaaf eaa eaaaaaac aae caaaaaa aac faaaaac aaf eaaaaaae aaa faaaaaf faa eaaaaaac caa caaaaaae eaa faaaaac aa eaaaaaae aae faaaaaf aac eaaaaaac aaf caaaaaae aaa faaaaaf faa eaaaaaae caa caaaaaf eaa faaac aae ae aac aaf aaa faa caa eaa aa aae aac aaf aaa faa caa eaa aae aac aaf aaa faa caf ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#21aa78ff b,#650168ff c,#90d4bbff d,#843586ff e,#b585b6ff f,#d8e3e3ff g,#54bd97ff ``` ```image fe fedbbbbbf fedbbbbbde fedbbbbbde fedbbbbbde fedbbbbbdef fedbbbbbdef fedbbbbbdef fedbbbbbdef fedbbbbbdef ebbbbbdef ebbef ebbe dbbf dbbf dbbf bbb fbbd fbbd fbbd bbe e af aa fa ac ga fa ag ga af ag ca af ag ca af aa ca ac aa fa ac ga fa ac ga fa ag ga af ag ca af aa ca af aaaaaggccff aa ffccggaaaaaaaaaaaaaggccff fa ffccggaaaaaaaf ac ga ga ag fa fa ac ga ga ac fa fa ag aa ga ac af ca ag aa ca af af ca ag ag ca af af ca aa ag ca a ac ga aa acfa faac ga ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#60f87eff b,#e71caeff c,#98faabff d,#ef6fcbff e,#27f751ff f,#ccfcd6ff g,#f7bbe6ff ``` ```image ggggddddbbbbbbbbbbbg ggggddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddgggbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbddddgggg dbbg dbbbddddgggg bbb gbbd bbb bbb gbbg bbb bbb dbb bbb gbbd bbb bbb dbbg bbb bbd dbb bbb gbbd bbb bbb dbbg bbb bbd fea dbb aeef bbb eee gbbg eee bbb ceec bbb eee dbbg eee bbb feea bbd aeef bbb eee cf bbb eee aee gbbg ceec eeeef bbb eee eeeeea bg eee eeeaeee feeeeec cee aeeec ee eef eec eee aee fee eef eea eee cee ee eec eee aee fee eef eea eee cee ee eec eee aea aee feeeeea fee eeeeeeeeec eef ceef faeeeeeec eea eee feeeeeeec eee eee feeeeeeef cee feec ceeeeeeef ee eee ceeeeeeaf eec aee ceeeeeea eee eea aeeeeeea aee eee aeeeeeec fee ceef aeeeeeec eef eee feeeeeeec eeaeee feeeeeeef eeeeec feeeeeeef ceeee ceeeeeee eeef ceeee eea cc ca ```

[ "" ]

Here's an image. My task is to find intersections or areas where lines come close together. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#28cdc5ff b,#66ca57ff c,#a5eae6ff d,#66dad2ff e,#94ce91ff f,#b1d8b1ff g,#e5f6efff ``` ```image aaa caa aag aad daa gaa aac aaa caa aag aad da daa daaag gaa caaaaac aac gaaa aaaa aaa aaa aaaa gc caa aaa caaac daa aag aaag gaaad aaa aad aaag aaaa aac daa daac daaag aag gaa caad gaaad aa aac gaaa aaaa caa aaa aaa daaag daa caa aaa caaad aad aa aaa aaaa aac aad aaag daaag aag daa daac caaac aa gaa caad aaaa caa aac gaaa aaaa daa aaa aaa caaac aad caa aaa gaaad aac aa aaa aaaa aag aad aaag daaag aa daa daac gaaad caa feeeeeeeaaeeeeedaad aaaa daa efffffffaaeffffaaa daaag aad efffffffaaafffaaa caaac aac efffffffdaaffaaag aaaa aa effffffffaafaaafg daaaggaa effffffffaaaaaffg caaadaa eeffffffffaaaadffg aaaaa fbbbbbefffffaadfffg aaad ebbbbbbbbbefaaffffg ca efebbbbbbbbbffffg efffffebbbbbbfffg efffffffffbbbfffg effffffffffbbfffg effffffffffbbfffg effffffffffbbeffg effffffffffbbbffg effffffffffbbbffg effffffffffebbffg efffffffffffbbffg efffffffffffbbffg efffffffffffbbbeg efffffffffffbbbbbf efffffffffffffbbbbbf efffffffffffffffbbbbbe efffffffffffffffg ebbbbe efffffffffffffffg ebbbbb efffffffffffffffg fbbbbbg efffffffffffffffg fbbbbbg efffffffffffffffg gbbbbbf feeeeeeeeeeeeeee gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb eg fbbbbbg fbbb fbbbbbg gbbbbf gbbbbbf gbbbbe gbbbbbf bbbbb bbbbbe ebbbbg ebbbbbbbbf ebbbbe fe ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#27cdc5ff b,#65ca56ff c,#a3e9e6ff d,#5ed9d3ff e,#90d885ff f,#bbe7b5ff g,#def5e6ff ``` ```image caaaac gaaaad c aaaaa ca daaaag gaa caaaac gaaa aaaad daaa daaaag daaaa caaaac daaaaa gaaaad caaaaad aaaaa caaaaad daaaacaaaaaag caaaaaaaaaag aaaaaaaaac g daaaaaaac bbefg caaaaaad bbbbbbefg gaaaaad bbbbbbbbbbefg aaaad bbbbbbbbbbbbbbefg caadg ebbbbbbbbbbbbbbbbbeffg gfebbbbbbbbbbbbbbbbbef gfebbbbbbbbbbbbbbbe gfeebbbbbbbbbbbg gfeebbbbbbbf febbbbf gbbbbe bbbbe ebbbb ebbbbg fbbbbg fbbbbf gbbbbe bbbbe bbbbb ebbbb ebbbbg fbbbbf gbbbbf gbbbbe bbbbe ebbbb ebbbbg fbbbbbeg fbbbbbbb bbbbbbb gebbbbb gfbbb fb ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#27cdc5ff b,#66ca57ff c,#a1e9e5ff d,#61dad4ff e,#92d987ff f,#bbe7b4ff g,#dcf5ebff ``` ```image aaa caa aag aad daa aa aac aaa caa aag aad da daa daaag gaa caaaaac aac gaaa aaaa aaa aaa aaaa gc caa aaa caaac daa aa aaa gaaad aad aad aaag aaaa aac daa daac daaag aag gaa caad gaaad aa aac gaaa aaaa caa aaa aaa daaag daa caa aaa gaaac aad aa aaa aaaa aac aad aaag daaa aag daa daac caaac aa gaa caad aaad caa aac gaaa aaaa daa aaa aaa caaac aad caa aaa gaaad aac aa aaa aaaa aa aac aaag daaag aa daa daac gaaad caa gaa caad aaaa daa aag gaaa daaag aad aad aaa gaaac aac caa aaa aaaa aa aa aaa daaa gaa aaaaag caaadaa eg daaac aaaaa fbbbbeg gaad aaad ebbbbbbbbeg ad ca gebbbbbbbbe gebbbbbb ebb bb bbg bbf bbe ebb fbb gbb bb bbbg bbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb fbbbbbg fbbbbbg gbbbbbf gbbbbbf bbbbbe ebbbbe ebbbbb eg fbbbbbg fbbb fbbbbbg fbbbbf gbbbbbf gbbbbe gbbbbbf bbbbb bbbbbe ebbbbg ebbbbbbbbf ebbbbe fe ```

[ "" ]

The hunt for intersections begins! Let's analyze this image closely. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#67d281ff b,#13f945ff c,#97fcadff d,#e8f7ebff e,#40f768ff f,#8fd49bff g,#b0d9b2ff ``` ```image dgfa dgfaaaaaaaaag dgfaaaaaaaaaaafgd aa ddgfaaaaaaaaaaafgd aa ddgfaaaaaaaaaaafgd gad aaaaaaaafgd aa fgd aa gad af aa fa dag aa fa dag aa aa gad aa aa gad af aa fa dag aa fa dag aa aa gad aa aa gad af aa fa dag aa aa dag aa aa gad aa aa gad af aa fa dag aa aa dag aa aa aag gad aaaad aa aaaa aa aaaa gad daaaa af daaaa aa daaaf fa daaaf dddddagddddaaaf fgggggaagfaaaagfd bc fgggggaaaaaaggggd dbbbed fgggggfaaaggggggd cbbbbc fggggggfggggggggd ebbbed fgggggggggggggggd cbbbbc fgggggggggggggggd ebbbe fgggggggggggggggd cbbbbc bbbbbbbbbbbbbbbbbbbbbeeeeeeeeaaaacccccccccd ebbbe bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc cbbbbc dbe fgggggggggggggggd dddd debbbe bb fgggggggggggggggd cbbbbc ebc fgggggggggggggggd debbbe bb fgggggggggggggggd cbbbbc bbd fgggggggggggggggd debbbebe fgggggggggggggggd cbbb fgggggggggggggggd d fggggggggggggggfd ddddddddddddddd ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#65d180ff b,#12fa45ff c,#90dda3ff d,#d8f3dfff e,#51fb76ff f,#35fa60ff g,#76fb93ff ``` ```image caaa dcaaaaaacd caaad dcaaaaaacd daaaddcaaaaaacd aaaaaaaaaacd caaaaaaacd daaaaacd caacd dd bbbbbbbbbfffffffffffffeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gggggggggggggggeeeeeeeeeeeeeeff ```  No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#66d181ff b,#12fa45ff c,#a5f0b7ff d,#cef1d7ff e,#46fa6dff f,#84e19bff g,#f0fbf3ff ``` ```image gdcfa gdcfaaaaaaaaac gdcfaaaaaaaaaaafcd aa gdcfaaaaaaaaaaafcd aa gdcfaaaaaaaaaaafcd dad aaaaaaaafcd aa fcd aa cag af aa fa gac aa fa dac aa aa dad aa aa cag af aa fa gac aa fa dad aa aa dad aa aa cag af aa fa gac aa fa dad aa aa dad af aa cag af aa fa gac aa fa dad aa aa fad dad aaaag af gaaaag aa gaaaag cag gaaaag af gaaaa aa gaaaf fa gaaaf gac gaaaf aa daaaf bc aaaaaf dbbbeg daaf cbbbbc d gebbbeg cbbbbc gebbbeg cbbbbc bbbbbbbbbbbbbbbbbbeeeeeeeeeeeeeffffffffcccd gebbbeg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc cbbbbc dbe ggggg gebbbeg bb cbbbbc ebc gebbbeg gbb cbbbbc bbg gebbbebe cbbb g ```

[ "" ]

Let's examine this image for potential line intersections. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#f3abc3ff b,#f1d9f1ff c,#e4467aff d,#b2d7b2ff e,#e57a9cff f,#96c996ff g,#deb5e8ff ``` ```image aceb aceb ace e ace dffffffffffecfffff ace fdddddddddcddddddd ace fdddddddcedddddddd eca fdddddecdddddddddd eca fddddcdddddddddddd eca fddceddddddddddddd eca fecddddddddddddddd eca bcddddddddddddddddd beca cafddddddddddddgdddd beceaab ee fdddddddddddgddddd baaeeccccceeaab ac fddddddddddgdddddd baaeeb fddddddddddgdddddd fdddddddddgddddddd fddddddddgdddddddd fdddddddgddddddddd fdddddddgddddddddd fddddddgdddddddddd fdddddgddddddddddd fddddddddddddddddd fddddgdddddddddddd fdddgddddddddddddd dffgffffffffffffff bb g g b b g g bb g g g bb g g g bb g g g b g g b g g g bb g g g bb g g g bb g g b b g g bb g g g bb g bggggggb g bggb g bggb bb bggb g bggb g bggb g bgb ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#ed81a6ff b,#efcfeaff c,#e5457bff d,#f7eaf6ff e,#e85e8cff f,#f2a8c1ff g,#e0b4eaff ``` ```image dfceb fecf becad daceb fccf becad daceb fcef fecfd bacad daceb fccf becad daceb fccf ecad eb gd bgd dgd dgb gg bgd dgd dgb gg bgd dgb gb gg bgd dgb gg bgd bgd dgb gg bgd dgd dgb gg bgd dgb dgb ```  After careful examination, I've determined that there's no intersection in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#ef92b1ff b,#eed4f0ff c,#e5447aff d,#f9eef7ff e,#ea6d97ff f,#f4b7ccff g,#e0b4eaff ``` ```image d fced fced fced e fced fcd aca dcf aca ea aca ac aca bcb aca ca decf ae decf fcd decf dcf g decaafbd ee g dbfaaeccccceaafbd fc bd dbfaaeb db g g bd g g g bb g g g db g g bd db g g bd dg g g bd g g g db g g bd db g g bd db g g bd g g g bb g g g db g g bd db g g bd dg g g bd g bgggbggb g bggb g bggb db bggb g bggb g bggb bd bgb ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#4f40b5ff b,#dde49bff c,#9e96d6ff d,#ecf0c8ff e,#cfd86eff f,#7468c4ff g,#d1cdebff ``` ```image c c ca ca fa gac fa aa fa fa aa gag aa af af fa af cag af af af aa ac cag ac gac ac aa ag fa ag gac ag af gag fa gag gag ga af ga aa ga cag ca ac ca aa ca ca fa gac fa aa fa fa fa gag aa af af fa af cag af af af aaac cc ddbbeeee ddbbeeeeeeeeebbdd ddbbeeeeeeeeeebddd ddbbeeeeeeeeeebbdd ddbbeeeeeeeeebbdd dbbeeeeeeeeeebbdd ebbdd e ed e ed e eb e bb e bb e bb e de e de e de e ```

[ "" ]

I'm analyzing this image to identify any points where lines intersect. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#4360eeff b,#90fad2ff c,#aebaf7ff d,#d0faedff e,#b0d7b1ff f,#95c79bff g,#7590e3ff ``` ```image feeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeefaafeeeeeeeeeeeeeeeeeef efgaaaaaaafeeeeeeeeeeeeeeeef gaaaaaageeaaaafeeeeeeeeeeeeeef caaaaaaafeeeeeeeaaaaeeeeeeeeeeeeef caaaaaaac eeeeeeeeeeeeaaeeeeeeeeeeeeef caaaaaaac eeeeeeeeeebeeaaeeeeeeeeeeeef dgaaaaaac eeeeeeeeebbbeaaeeeeeeeeeeeef dgaaaaaagd eeeeeeeebbbbegageeeeeeeeeeef caaaaaagd eeeeeeebbbbbeeaaeeeeeeeeeeef caaaaaaac eeeeeebbbeebbeaaeeeeeeeeeeef caaaaaaac eeeeebbbeeebbegageeeeeeeeeef cgaaaaaac eeeebbbeeeebbeeaaeeeeeeeeeef dgaaaaaag eeebbbeeeeebbeeaaeeeeeeeeeef gaaaaaagd eebbbeeeeeeebbegageeeeeeeeef caaaaaagc ebbbeeeeeeeebbeeaaeeeeeeeeef caaaaaaac bbbeeeeeeeeebbeeaaeeeeeeeeef cgaaaaaac dbbeeeeeeeeeebbeefaaeeeeeeeef daaaag dbbeeeeeeeeeeeebbeeaaeeeeeeeef gd dbbeeeeeeeeeeeeebbeeaafeeeeeeef dbbdeeeeeeeeeeeeebbeeeaaeeeeeeef dbb eeeeeeeeeeeeeebbeeaaeeeeeeef dbb eeeeeeeeeeeeeebbeegageeeeeef dbb eeeeeeeeeeeeeebbeeeaaeeeeeef dbbd eeeeeeeeeeeeeebbeeeaaeeeeeef dbbd eeeeeeeeeeeeeeebbeegageeeeef bbd eeeeeeeeeeeeeeebbeeeaaeeeeef bbd eeeeeeeeeeeeeeebbeeeaaeeeeef bbd eeeeeeeeeeeeeeebbeeegageeeef bb eeeeeeeeeeeeeeeebbeeeaaeeeef dbd eeeeeeeeeeeeeeeebbeeeaaeeeef dbd eeeeeeeeeeeeeeeebbeeefaaeeef bb eeeeeeeeeeeeeeeebbeeeeaaeeef bd bb eeeeeeeeeeeeeeeeebbeeeaafeef bb bb eeeeeeeeeeeeeeeeebbeeeeaaeef dbb bb eeeeeeeeeeeeeeeeebbeeeeeeeef bbb dbd eeeeeeeeeeeeeeeeebbeeeeeeeef bbd bb eeeeeeeeeeeeeeeeeebbeeeeeeef bb bb ffffffffffffffffffbbfffffffe dbb bb bb bbb bb bbd bbd dbd bb bb bbd bb dbb bb bb dbb bb dbd bbb bb bb bbd dbb bb bb dbd bb dbb bb dbd bbb bb bb bbd bb bb bb bb bb dbb dbd dbd bbb bb bb bbd bb bb bb bb bb dbb bb dbd bbb dbd bb bbb bbd bbd bb bb bb dbb bb bbb bb bbd dbd bb bb dbb bb bbb bb bbd bb bb dbd dbb bb bbb bb bbd bb bbd bb bb dbd dbb dbd bbb bb bbd bb bb bb dbbbb bbbd bb d ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#4360efff b,#8ffad2ff c,#9baaf6ff d,#e4f7f6ff e,#b8fce2ff f,#cad2faff g,#6f85f2ff ``` ```image dd fcgaagf fcgaaaaaaaagf fcgaaaaaaaaaaaaaagf cgaaaaaaaaaaaaaaaaaaaagf aaaaaaaaaaagcd dcaaaaaaagf aaaaaaagcf dcaaaaaaagf aaagcf dcaaaaaaaf cf dcaaaaag dcaaaaf caaac dbbe faaaa dbbbb gaaaf dbbbbbd caaac dbbbbbbe daaaa dbbbbbbbb gaaaf dbbbbbbbbb faaag dbbbbbdebbbd daaaad dbbbbbd dbbbe gaaac dbbbbbd bbbb faaag bbbbbe bbbbd aaaad bbbbbe ebbbd caaac bbbbbe dbbbe faaag bbbbbe bbbb aaaaf ebbbbe bbbbd caaac ebbbbe ebbbe daaaa ebbbbe dbbbe gaaaf ebbbbe bbbb caaag ebbbbe ebbbd daaaa ebbbbe ebbbe gaaaf ebbbbe dbbbe faaag ebbbbe bbbb aaaad ebbbbe ebbbd gaaac bbbbe ebbbe faaag bbbe dbbbe aaaad bbe bbbb caaac bb ebbbd faaaa b ebbbe gaaaf dbbbe caaac bbbb daaaa ebbbd gaaaf ebbbe caaag dbbbe daaaad bbbb gaaaf ebbbd faaag ebbbe aaaad dbbbb caaac bbbb faaag ebbbd aaaaf dbbbe caaac dbbbb faaaa bbbb gaaaf ebbbd caaac dbbbe daaaa dbbbb gaaaf bbbbd faaag ebbbd daaaad dbbbe gaaac bbbb faaag bbbbd aaaad ebbbd caaac dbbbe faaag bbbb aaaaf bbbbd caaac ebbbe daaaa dbbbe gaaaf bbbb caaag ebbbd daaaa ebbbe gacf dbbbe d bbbb ebbbd ebbbe dbbbe bbbb ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#435fefff b,#8ffbd2ff c,#99a8f5ff d,#e0f9f4ff e,#bafce3ff f,#c6cff9ff g,#6d83f2ff ``` ```image fgaf fgaaaaaaaf dcaaaaaagddaaaaf caaaaaagf daaaa caaaaaaaf daad fgaaaaaac befaa fgaaaaaac bbb aa dgaaaaaagd bbbb gaf caaaaaagf bbbebd aa caaaaaagf bbb bb aa faaaaaaac bbb bb cac fgaaaaaac bbb bb aa dgaaaaaacd ebb ebd aa dcaaaaaagf ebb bb cac caaaaaagf ebb bb aa faaaaaaaf ebb bb aad fgaaaaaac ebb ebe fag daaaacd ebb bb aa gd ebb bb gaf dbb bb daa dbbd ebe aa dbbd bb gaf dbbd bb aa dbbd bb aa dbbd dbe cac dbbd bb aa dbbd bb aa bbd bb fag bb dbe aa dbe bb aad ebd bb fag bb bbd aa bd bb dbe gaf bb bb bb daa ebb bb bb bbb ebe ebd bbe bb dbe bb bb bb dbb bb bb ebb bb ebd bbe dbe dbb bbd ebd bb dbb bb bb ebb bb ebd bbe bb dbb bbd dbe bb bb ebd bb ebb bb ebd bbb bb bb bbd bb bb bb bb bb dbb ebe ebe bbb bb bb bbe bb bb bbd bb bb dbb bb ebe ebb dbe bb bbe ebd bbd bb dbb bb ebb bb bbb dbe bbd ebd bb bb dbb bb bbb bb bbe bb bb dbe dbb bbd ebb bb bbe bb bbd bb dbb dbe ebb ebd bbe bb bbd bb bb bb ebbbe bbbd bb d ```

[ "" ]

The hunt for intersections begins! Let's analyze this image closely. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#a863dbff b,#09c525ff c,#c598e6ff d,#b1d9b2ff e,#4fd162ff f,#e2d3f0ff g,#8ed294ff ``` ```image dddddddddddddddg dddddddddddddddg dddddddddddddddg dbbbbbbbeeggddf dddddddddddddddg dbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeef fddggeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeggddf bf ddddddgggeeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeggdf ebbb dddddddddddddddg fddggeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddddddddddddddg ddggeeebbbbbbbbbf dddddddddddddddg dddddddcdddddddg ddddddaaaddddddg ddddddaaaadddddg ggggggaaaaaggggd aafaaa aa faaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaaf aa aaaf aa aaaf aa caaf aa caaf aa caac aa caac aa caac aa faac aa faac faa faaa faa faaa faa faaa faa aaa cac faa aaa faa faa aaa aa faa aaa cac faa aaa aa faa aaa aaf faa aaa caa faa aaa aa caa aaa aaf cac aaa caa cac aaaf aa cac aaaf aaf cac aaaf faa cac aaaf aa cac caaf aac cac caac faa cac caac aa cac caac aac cac caa faa aac aaf aa aaf caa aac aaf aa faa aaf aaf aa aaf caa cac aaa aa aa aaa aaf aaf caaf caa caa faaf aa aa aac aaf aaf aaa faa caa aaa aa aa aaa aac aafaaa faa faaaaf aa aaaf aac aac faa f aa cac aa aaf caa aa aaf caa af ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#ab68dcff b,#07c524ff c,#d9bbefff d,#8fe49cff e,#62da74ff f,#36cf4dff g,#c8f2ceff ``` ```image bffffeeeddddggggg bbbbbbbbbbbbbbbbbbbbbfffeeeeddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddeeeefffbbbbbbbbbbbbbbbbbbbbb gggggddddeeeffffb cc aaaa caaaaa caaaaaa caaaaaaa ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#a863dbff b,#08c525ff c,#d3b1ecff d,#9fe8aaff e,#53d667ff f,#e7e3f0ff g,#bc87e3ff ``` ```image fbbbbbbbeeedddf dbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddff fdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddf bf ffdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeedddff ebbb fdddeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffdddeeebbbbbbbbbf fc aag aaag aaaaa aafaaa aa faaa aa faaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaa aa aaaf aa aaaf aa aaaf aa gaaf aa gaac aa gaac aa gaac aa caac aa caag aa caag faa caag faa faag faa faaa faa faaa faa faaa cag faa aaa faa faa aaa aaf faa aaa gag caa aaa aa caa aaa aaf caa aaa gaa cag aaa aa cag aaa aaf cag aaaf caa cag aaaf aa cag aaaf aac cag gaaf caa gag gaac aa gag gaac aac gac gaac caa gac gaac aa gac caac aac gac caa faa gac aaf aa gac gag gag aac aa faa aac aaf aaf aac gaa gag aaa aa aa gaa aac aaf caaf caa gaa faac aa aa faag aac aaf aag caa caa aaa aa aa aaa aac aacgaa faa caaaaf aa aaac aag aag faa f aa gag faa aaf gaa aa aaf caa af ```

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I have an image in front of me. I need to determine if there are any intersection segments. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#5caab3ff b,#9156a9ff c,#91c6cdff d,#add5adff e,#b090beff f,#d0dae6ff g,#28909fff ``` ```image dddddddddddddddd dddddddddddddddd dddddddddddddddd ffe dddddddddddddddd feebbbbbbbbf dddddddddddddddd feebbbbbbbbbeef dddddddddddddeebbbbbbbbbbef ddddeebbbbbbbbbbeff debbbbbbeedddddd ebbbeddddddddddddd ebbbedddddddagddddddd ebbbe dddddddgggdddddd ebbbe dddddddgggdddddd ebbbe dddddddgaggddddd febbbe dddddddgadgadddd fbbbbf dddddddgadagdddd fbbbbf gc ga fbbbbf gf fg fbbbbf gf gg fbbbbf g gc fbbbbf g cg fbbbbf g ga c bbf g fg g fg gg g fg gc g fg cg fg cg ga cg cg fg ag ag gg gg ag gc ga gg cg gc ga ga gf ga fg gf gc gg g gc gc g gf cg fg gf ga cg g fg cg g gg ag g gc ga g cg gc g ga gc fg fg gf fg gg g cg gc g cg cg fg ag ga fg ag fg cg gg gg ag ga gc gg ga cg ga gc ga gc gc fg gf gf gg g gf gc g g cg g g ggg g fgg g gg g fg fg cg cg ag ag gg ga ga gc gc gf gf fagggg cgggggaf fagggggc fcgggggaf cgggggaf fagggggc fcgggggaf caggggac fagggggcf gggaf ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#54a6b2ff b,#9155a9ff c,#89c2caff d,#cfb6daff e,#b48cc4ff f,#e0dfecff g,#278f9eff ``` ```image ffddee ffddeebbbbbbbbb fddeeebbbbbbbbbbbbbbbbb debbbbbbbbbbbbbbbbbeeddff debbbbbbbbbbbeeddff ebbbbbbbeddff bbbbbef f bbef cga f aggc agggf aggga aggggc gggggg ggacggc ggafgggf gga cgga fggc aggc fggc fggg fggc cggc ```  The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#49a0adff b,#9257aaff c,#a8d2d8ff d,#78b9c2ff e,#bf9cccff f,#dce1ebff g,#268f9eff ``` ```image fee febbbbbbbbbf feebbbbbbbbbeef feebbbbbbbbbbeff febbbbbbbbbbeef ebbbbbeef ebbbe ebbbe dg ebbbe aga fbbbbe agg fbbbbe gagg fbbbbe gd gc fbbbbe gd dg fbbbbe gc ga fbbbbe gc fg fbbbbf gf gg fbbbbf g gc fbbbbf g dg fbbbbf g ga c bbf g fg g fg gg g fg gc fg cg dg cg cg ga cg dg fg dg dg gg aa ag gc gd aa dg gd ga ga gc gd fgf gf gd gg g gc gc g gc dg fg gf ga cg gf fgf dg g gg ag g gc ga g dg gd fg ga gc fg fgf gf cg ag g cg gc g dg dg fg dg ga cg ag fgf dg aa ag dg ga gc aa gd dg gd gd ga gc gc fgf gc gc ag gf gf gc g gf dg g g ggg g fgg g ag fg fg cg cg dg dg ag aa ga gd gd gc gc gf fdgggg cgggggac caggggac fdgggggdf caggggac cdgggggd fdgggggdf caggggac fdgggggdf gggdc ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#9f9aa6ff b,#584e63ff c,#11945eff d,#89c9afff e,#cbd8d5ff f,#48ac83ff g,#766e7fff ``` ```image de eccccce dccccccccce fccccccccccccce eccccccccd eccccccce dcccccccce eccccccc fcccccccf dccccccc eccccccccd dccccccc dcccccccce dccccccf fcccccccf dccccccf eccccccccd fccccccf dcccccccce fccccccf fcccccccf fccccccd eccccccccd fccccccd dcccccccce cccccccd fcccccccf ccccccce eccccccccd ccccccce dcccccccce ecccccd ecccccccf eccc ccccccd ed cccce dccc cccf ccce dccc cccc ccce bba dccc ebbbbb cccc abbbbbbb cccd gbbbbbbbbb dccc bbbbbe bbbb cccc bbbbb bbba cccd ebbbbb bbbb eccc abbbbg abbb cccc gbbbba bbbe cccd bbbbbe bbbg eccc bbbbb gbbb fccc bbbbb ebbb cccf ebbbbb bbbe eccc abbbbg bbbb fccc gbbbba abbb cccf bbbbbe bbb ccc bbbbb bbba fccc ebbbbb gbbb cccf abbbbg ebbb ccce gbbbba bbbe dcc ebbbbbbe bbbb ebbbbbbbb abbb egbbbbbbbbb bbb gbbbbbbbbba bbba gbbbbbbbbba gbbb abbbbbbbbba ebbb abbbbbbbbbg bbbe abbbbbbbbbg bbbb ebbbbbbbbbge abbb ebbbbbbbbbbe bbb egbbbbbbbbbe bbba gbbbbbbbbba gbbb abbbbbbbbba ebbb ebbbbbbbbba bbbe bbbbbbg bbbg bbbg abbb ee bbb bbba gbbb ebbb bbbe bbbg abbb bbb bbba bbbb ebbb bbbe bbbg abbb bbb bbba bbbb ebbb bbbe bbbg a ```

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I'm optimistic that I'll find some intersections in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#0c5e77ff b,#90adb5ff c,#24415bff d,#426a7bff e,#e6edecff f,#578d94ff g,#aed4b1ff ``` ```image bg aaaae aaaaaad aaaaaaaaab aaaaabaaaaaae eaaaad daaaaad eaaaad eaaaaaab eaaaaf baaaaaae gaaaaf daaaaad baaaab eaaaaaab baaaab baaaaaae baaaag daaaaaf faaaae eaaaaaab faaaae baaaaaae daaaae daaaaaf aaaaae eaaaaaag aaaaa baaaaaae aaaaa daaaaaf aaaaa eaaaaaag gaaaa baaaaaa e baa aaaaaaf aaae b eaaaaaag aaab baaaaaa baaa aaaaaaf eeeeeeeeeeeeaaaa eaaaaaag ggggggggggggbaaae faaaaaa ggggggggggggaaaae aaaaaaf ggggggggggggaaafe eaaaaaafggggggggggfaaage faaaaaagggggggggaaaage aaaaaafgggggggaaabge eaaaaaabggggaaaagge daaaaaagggaaafgge ggaaaaaaffaaaggge gggbaaaaaaaaaggge gggggfaaaaaabggge gggggggaaaaagggge ggggggggbaafgggge gggggggggggggggge gggggggggggggggge gggggggggggggggge eeeeggggbbbbbffdddddcccccccccccc eccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccddddddfffbe dcccdbgggeeeee eeeeeeeeeeeeeee bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc dcc be ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0c5e77ff b,#8fb5c0ff c,#24415bff d,#3c7085ff e,#e3ebeeff f,#5e91a2ff g,#c1d2d9ff ``` ```image faaaaa eaaaaaa baaaaaa aaaaaaa gaaaaaaa faaaaaaf eaaaaaaae g baaaaaad afe daaaaaab aaab gaaaaaaa aaaadg faaaaaaf aaaaaafe eaaaaaaag aaaaaaaab baaaaaad aaaaaaaaadg daaaaaab aaaaaaaaaaafe gaaaaaaae faaaaaaaaaaaab faaaaaaf gdaaaaaaaaaaadg eaaaaaaag baaaaaaaaaaaafebaaaaaad efaaaaaaaaaaaaaaaaaaab gdaaaaaaaaaaaaaaaaae baaaaaaaaaaaaaaaf efaaaaaaaaaaaaag gdaaaaaaaaaad baaaaaaaaab efaaaaaaae gdaaaab bffg eeeeeegggggg ffddddddddccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccc ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#0c5e77ff b,#95adb9ff c,#24415bff d,#436c81ff e,#e1e8ebff f,#6992a2ff g,#bacdd4ff ``` ```image bg aaaae aaaaaad aaaaaaaaab aaaaabaaaaaae eaaaad daaaaad eaaaad eaaaaaab eaaaaf baaaaaae gaaaaf daaaaad gaaaab eaaaaaab baaaab baaaaaae faaaag daaaaad faaaag eaaaaaab daaaae baaaaaae daaaae daaaaad aaaaa eaaaaaag aaaaa baaaaaa aaaaa daaaaad aaaaa eaaaaaag gaaaa faaaaaa e baa aaaaaaf aaag b eaaaaaag aaab faaaaaa faaa aaaaaaf aaaa eaaaaaag eaaae faaaaaa aaaa aaaaaaf aaaf gaaaaaag baaa faaaaaa aaaa aaaaaaf eaaae gaaaaaag daaa faaaaaa aaaf aaaaaafbaaa gaaaaaaaaa faaaaaag aaaaa gaab eeeggggbbbbbffffdddddccccccccccc eccccccccccccccccccccccccccccccccccccccccccccccccccce cccccccccccccccccccccccccccccccccccccccccccccccccccce ccccccccccccccccccccccccccccccccccccccccccddddffffbbbe dcccdbggggeeee bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc ecccc cccce ccccb dcccd bcccc dcc fe ```

[ "" ]

I'm approaching this image with caution. Intersections might be tricky to spot. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#43df52ff b,#bb80e4ff c,#77e282ff d,#edeff1ff e,#b2d9b3ff f,#d5b1eeff g,#a1d2a2ff ``` ```image e caaae aaaaaaad caaaaaaac dcaaaaaaag daaaaaaaae eaaaaaaaad gaaaaaaacd caaaaaaac dcaaaaaaae eaaaaaaaae eaaaaaaaad caaaaaaac dcaaaaaaag dc daaaaaaaae dcaaaa eaaaaaaaad ddddddddddddddd ecaaaaaaaa gaaaaaaacgggggggggggggggg ecaaaaaaaaaacd caaaaaaaceeeeeeeeeeeeg eaaaaaaaaaaacd dcaaaaaaaceeeeeeeecaaaaaaaaaaagd eaaaaaaaagecaaaaaaaaaaag dgecaaaaaaaaaaaaaaae dgeeeecaaaaaaaacg dgeeeebbbcaceeeeg dgeeebbbbbbeeeeeg dgeebbbbbbbbeeeeg dgebbbbeebbbbeeeg dgbbbbeeeebbbeeeg dbbbbeeeeeebbbeeg fbbbeeeeeeebbbbeg fbbbeeeeeeeeebbbbg dbbbeeeeeeeeeeebbbg bbbbeeeeeeeeeeeebbb bbbbgeeeeeeeeeeeebbbb bbbbdgeeeeeeeeeeeeebbbf bbbb dgeeeeeeeeeeeeeebbb bbbb dgeeeeeeeeeeeeeebbbb fbbb dggggggggggggggggbbbf fbbbd ddddddddddddddd dbbb dbbbd fbbb dbbbf bbbd bbbb dbbb bbbb bbbb bbbb bbbd bbbb dbbb fbbb bbbb fbbbd bbbd dbbbd dbbb dbbbf bbbf bbbf bbbd bbbb fbbb bbbb bbbf bbbb bbb fbbb fbbb fbbbd bbbf dbbbd bbb dbbbf fbbb bbbf bbbf bbbb bbb bbbb fbbb bbbb bbbf fbbb dbbb fbbbd fbbb dbbbd bbbd dbbbf dbf bbbf bbbb bbbb bbbb bbbb fbbbd dbbbd dbbbf bbbf bbbb bbbb bbbb bbbb fbbb fbbbd dbbbf bbbf dbb ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#43df53ff b,#bb80e4ff c,#78df86ff d,#edddf7ff e,#acf0b3ff f,#d0a7ecff g,#d7f7daff ``` ```image ce aaace aaaaaacg aaaaaaaaaeg aaaaaaaaaaaceg ge aaaaaaaaaaaaaace gecaaa gcaaaaaaaaaaaaaaacg gecaaaaaaa ecaaaaaaaaaaaaaaaaaaaaaaaaaa ecaaaaaaaaaaaaaaaaaaaaaaa geaaaaaaaaaaaaaaaaaaaaa gcaaaaaaaaaaaaaaaace dbbbcaaaaaaaaaceg dbbbbbbccaaceg dbbbbbbbbbbbd bbbbbbbbbbbbf fbbbbbbbbbbbbbf fbbbbbbb fbbbbbbd fbbbbbbbd dbbbbbbb dbbbbbbbd dbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbd dbbbbbbbf dbbbbbbb bbbbbbbf dbbbbbbf fbbbbbbf fbbbbbbf fbbbbbbb fbbbbbbd bbbbbbb dbbbbbbb bbbbbbd dbbbbbbf bbbbbd fbbbbbb bbbbd bbbbbb bbbf dbbbbb bbf dbbbb bf fbbb f bbb dbb db f ```  I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#43df53ff b,#bb7fe5ff c,#78e584ff d,#e8d4f5ff e,#a9f0b0ff f,#cda2ebff g,#d5f7d9ff ``` ```image e caaag aaaaaaag caaaaaaac caaaaaaae gaaaaaaaae eaaaaaaaag eaaaaaaac caaaaaaac gaaaaaaaae gaaaaaaaag eaaaaaaaag caaaaaaac caaaaaaae gc gaaaaaaaae gcaaaa eaaaaaaaag gcaaaaaaaa eaaaaaaac ecaaaaaaaaaacg caaaaaaac eaaaaaaaaaaacg gcaaaaaaae eaaaaaaaaaaae gaaaaaaaag eaaaaaaaaaaae eaaaaaaaaaaaaaaae caaaaaaaae dbbbcae bbbbbb bbbffbbb bbbb bbbf bbbb bbbd bbbb dbbb fbbb fbbb dbbbd bbbf dbbbd bbbd bbbf dbbb bbbf fbbb bbbb bbbd bbbb bbb bbbb fbbb fbbb bbbd dbbbd bbb dbbbd fbbb bbbf bbbd bbbf dbbb bbbb fbbb bbbb bbbd bbbb dbbb fbbb bbbf dbbb bbbd dbbbd dbbb bbbf bbbf bbbf bbb bbbb dbbb bbbb bbbf bbbb bbb fbbb dbbb fbbb bbbf dbbbd bbb bbbf fbbb bbbf bbbd bbbb bbb bbbb fbbb bbbb bbbd fbbb bbb fbbb fbbb dbbbd bbbd bbbd dbd bbbf bbbb bbbb bbbb fbbb fbbb dbbbd dbbbd bbbf bbbb bbbb bbbb fbbb fbbb dbbbd dbbbd bbbf dbb ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0be51eff b,#22546eff c,#92c69dff d,#5d8391ff e,#d9eee1ff f,#57ed64ff g,#afd9b2ff ``` ```image efe aaaaf eaaaaaaag gaaaaaaaaaae gaaaaaaaaaaaaf faaa gaaaaaaaaag faaa faaaaaaaaae faaa efaaaaaaaaf aaaf gaaaaaaaaac aaaf faaaaaaaaae aaaf faaaaaaaaf aaag gaaaaaaaaac aaag caaaaaaaaag aaae faaaaaaaaf aaa eaaaaaaaaaf aaa caaaaaaaaag aaa faaaaaaaafe eaaa eaaaaaaaaaf gaaa gaaaaaaaaag gaaa faaaaaaaaae faaa eaaaaaaaaaf faaa gaaaaaaaaag faaa faaaaaaaaae aaaf efaaaaaaaaf aaaf gaaaaaaaaac aaaf faaaaaaaaae aaag faaaaaaaaf aaag gaaaaaaaaac aaae caaaaaaaaag aaa faaaaaaaaf aaa eaaaaaag aaa caaa eaaa f gaaa gaaa faaa faaa gcaaaacccccccccc cgaaaagggggggggg cgaaafgggggggggg cgaaaabdgggggggg cgaaabbbbdgggggg cgaaabbbbbbdgggg cgaaabbbbbbbbdgg cgggbbbcbbbbbbbd cgggbbbcggbbbbbbbc cgggbbbgggggbbbbbbbc cgggbbbgggggggbbbbbbbc cggcbbbggggggggcbbbbbbbc cggdbbbggggggggg ebbbbbbbg cggdbbbggggggggg ebbbbbbbg cggbbbbggggggggg ebbbbbbbg cggbbbdggggggggg ebbbbbbbg cggbbbdggggggggg ebbbbbbbe cggbbbcggggggggg ebbbbbbbe gccbbbcccccccccc ebbbbbbbe bbb gbbbbbbbe bbb gbbbbbbbe ebbb gbbbbbbbe gbbb gbbbbbbbe dbbb cbbbbbbb dbbb cbbbbbbb bbbd cbbbbbbb bbbd cbbbbbbb bbbg dbbbbbbd bbbe dbbbbbbd dbb dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd bbbbbbbc bbbbbbbc bbbbbbbc bbbbbbbc bbbbbbbg ebbbbbbbg ebbbbbbbg ebbbbbc ebbb ec ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#0be51eff b,#23546eff c,#58e967ff d,#6e8ea0ff e,#d4e4e0ff f,#18884fff g,#a2c0beff ``` ```image aaaaaaa aaaaaaa aaaaaac aaaaaac eaaaaaac eaaaaaacdde eaaaaaafbbbde eaaaaaafbbbbbde gaaaaaafbbbbbbbde gaaaaaafbbbbbbbbbde caaaaaafbbbbbbbbbbbde caaaaaafbbbbbbbbbbbbbde caaaaaabbbbbbbbbbbbbbbbde gccccaabbbbbbbbbbbbbbbbbbde gbbbbbbggbbbbbbbbbbbbbbd dbbbbbbe gbbbbbbbbbbbbb dbbbbbbe gbbbbbbbbbbb dbbbbbb gbbbbbbbbb bbbbbbb gbbbbbbb bbbbbbb gbbbbb bbbbbbd gbbb ebbbbbbd gb ebbbbbbd gbbbbbbg gbbbbbbg dbbbbbbe dbbbbbbe dbbbbbb bbbbbbb bbbbbbb bbbbbbd ebbbbbbd ebbbbbbd gbbbbbbg gbbbbbbg ```  It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#0ae51dff b,#23546eff c,#87f290ff d,#648699ff e,#ceedd7ff f,#46eb55ff g,#9db3beff ``` ```image ec aaaac eaaaaaaac eaaaaaaaaafe caaaaaaaaaaaaf caaa caaaaaaaaac faaa caaaaaaaaae faaa efaaaaaaaaf aaaf eaaaaaaaaac aaaf caaaaaaaaae aaac faaaaaaaaf aaac eaaaaaaaaac aaae caaaaaaaaae aaae faaaaaaaaf aaa eaaaaaaaaac aaa caaaaaaaaae aaa faaaaaaaaf eaaa eaaaaaaaaac eaaa caaaaaaaaac caaa faaaaaaaafe caaa eaaaaaaaaaf faaa caaaaaaaaac faaa caaaaaaaaae aaaf efaaaaaaaaf aaaf eaaaaaaaaac aaac caaaaaaaaae aaac faaaaaaaaf aaae eaaaaaaaaac aaae caaaaaaaaae aaa faaaaaaaaf aaa eaaaaaae aaa caaa eaaa c eaaa caaa caaa faaa faaa aaaf aaaf aaaabd aaabbbbd aaabbbbbbd aaabbbbbbbbd bbbgbbbbbbbd bbbe bbbbbbbg bbb bbbbbbbg bbb bbbbbbbg ebbb bbbbbbbg gbbb bbbbbbbg dbbb ebbbbbbbg dbbb ebbbbbbbg bbbd ebbbbbbbe bbbg ebbbbbbbe bbbg ebbbbbbbe bbbe ebbbbbbbe bbb ebbbbbbbe bbb gbbbbbbbe ebbb gbbbbbbbe gbbb gbbbbbbb dbbb gbbbbbbb dbbb gbbbbbbb bbbd gbbbbbbb bbbd gbbbbbbb bbbg dbbbbbbb bbbe dbbbbbbd dbb dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd bbbbbbbd bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg bbbbbbbg ebbbbbbbg ebbbbbg ebbb eg ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#858c59ff b,#b265dbff c,#5b621dff d,#9dbf92ff e,#b3d5b1ff f,#cd9be7ff g,#e5d9e7ff ``` ```image bbb fbbbb fbbbbf gbbbbf gbbbbb bbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb gbbbbb bbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb eca gbbbbb ccc bbbbbg cca bbbbbg gccg fbbbbf acc fbbbbf ccc fbbbbf cce gbbbbb dcc gbbbbb ccc bbbbbg ccd bbbbbg gcc fbbbbf acc fbbbbf cca bbbbb ccg bbbb dcc fbbg ccc gbbb ccd bbb ecc bbb ccc bbbg cca gbbb ccg bbb acc bbb ccc bbbg cce fbbf ecc bbb ccc bbb cca bbbg gcc fbbf acc bbb ccc bbb cce bbbg dcc fbbf ccc gbbb ccd bbb gcc bbb acc fbbf cca gbbb ccg bbb dcc bbb ccc dddddbbbdddddde ccd eeeeebbbeeeeeed ecc eeeebbbeeeeeeed ccc eeebbbeeeeeeeed cca eebbbeeeeeeeeed ccg eeebbeeeeeeeeed acc eeecaeeeeeeeeed ccc eecccceeeeeeeed cce eeeccccaeeeeeed ecc eeeeacccceeeeed ccc eeeeeeccccaeeed ccd eeeeeeedccccded gcc eeeeeeeeecccccd acc eeeeeeeeeedccccg cca eeeeeeeeeeeeccccc gcce eeeeeeeeeeeeedcccce gdccccccc eeeeeeeeeeeeeedacccc gdaccccccccccca eeeeeeeeeeeeeed ccccd eaccccccccccccadg dddddddddddddde dcccc eacccccccccccccdg ccccd eacccccccccccccdg dcccc gdcccccccccccccae ccccccccccccccccae eccccccccadg aadg ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#7c814dff b,#b366dbff c,#5a611dff d,#adb08eff e,#d6d7c8ff f,#d3a7eaff g,#ece1efff ``` ```image gbbbbbbg bbbbbbf fbbbbbf gbbbbbb gbbbbbbg bbbbbbf fbbbbbf gbbbbbb gbbbbbbg bbbbbbg gbbbbbf gbbbb ebbg acad dccccae gcccccccd eacccccccae dccccccccd eacccccccce dccccccccag gacccccccce dccccccccag gaccccccccd eccccccccag gdccccccccd eaccccccca dccccccc eaccccc dcccc eacc dc g ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#7e834eff b,#b365dbff c,#5a611cff d,#a6aa85ff e,#cbcdb8ff f,#cf9ee8ff g,#eaddedff ``` ```image bbb fbbbb fbbbbf fbbbbb gbbbbb gbbbbb bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb gbbbbb bbbbbg bbbbbg bbbbbg fbbbbf fbbbbf gbbbbb eca gbbbbb ccc bbbbbg cca bbbbbg gccg fbbbbf acc fbbbbf ccc fbbbbf cce gbbbbb dcc gbbbbb ccc bbbbbg ccd bbbbbg gcc fbbbbf acc fbbbbf cca bbbbb cce bbbb dcc fbbf ccc gbbb ccd bbb ecc bbb acc bbbg cca gbbb ccg bbb dcc bbb ccc bbbg cce fbbf ecc bbb ccc bbb ccd bbbg gcc fbbf acc gbbb cca bbb cce bbbg dcc fbbf ccc gbbb ccd bbb ecc bbbg acc fbbf cca gbbb ccg bbb dcc bbb ccc fbbf ccd gbbb ecc bbb ccc bbb cca bbbg gccg gbb dcc cd ccc cccc cce ccccd ecc dccccg ccc cccca ccd eccccg gcc accca acc ecccce cca accca ecce gcccce gdacccccc acccc gdaccccccccccca gccccd geaccccccccccccadg dcccc eaccccccccccccadg ccccd edcccccccccccccde dcccc edcccccccccccccde ccccccccccccccccae eccccccccadg aadg ```

[ "" ]

I'm ready to tackle this image and find those intersections! I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#d93a19ff b,#919e0cff c,#efd6c5ff d,#ea9886ff e,#b5bc6aff f,#dd684dff g,#aed5acff ``` ```image eb ebbbe gbbbbbb ggggggggggggebbbb bb ggggggggggebbbba ebg gggggggggbbbbaaa cbb gggggggbbbbeaaaa gggggbbbbegaaeaa gggbbbbeggaafgaa gbbbbegggaaaggaa bbbbeggggaaagggaac bbbbegggggfaaggggfac ebbbeggggggeaagggggfad ebbbe ggggggaaegggggfad ebbbe gggggaafggggggeaf ebbbb ggggaaaggggggggaf ebbbb gggfaagggggggggaa gbbbb ggfaaggggggggggaa cbbbb ggaagggggggggggaa cbbbb gaaegggggggggggaa cbbbbc aafggggggggggggaa cbbbbc aaagggggggggggggaa bbbbc faaggggggggggggggaa bbbbc daagggggggggggggggaa bbbbg caac fac bbbbe aad dad bbbbe aaf dad ebbbe aaa caf ebbbe faa caf ebbbe caa aa ebbbb aac aa ebbbb aad aa gbbbb aaf aa cbbbb aaa aa cbbbb daa aa cbbbbc caa aa cbbbbc aac aa bbbbc aad fac bbbbg aaa dad bbbbg faa dad bbbbe daa caf cbbe caa caf e aac aa aaf aa aaa aa faa aa daa aa caac aa aad aa aaf aa aaa fac faa dad daa dad caac caf aad caf aaf aa aaa aa faa aa caa aa aac aa aad aa aaf aa faa aa daa fac caa dad aac dad aaf caf aaa caf af faa aa daaaad daa aa daaaaad caac aa daaaaad aad aa faaaaad aaf aa faaaaaaa aa faaa aa aa fac dad dad caf dc ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#da3b1aff b,#919c0aff c,#f1d8c9ff d,#eca392ff e,#cad18cff f,#e37058ff g,#a9b140ff ``` ```image eb ebbb egbbbb cgbbbbbb cgbbbbbbbb cgbbbbbbbbaa cgbbbbbbbbaaaa cgbbbbbbbgaaaaaa cgbbbbbbbgdaaaaaaa cgbbbbbbbgccaaaaafaa ebbbbbbbgc aaaaacdaa ebbbbbbbgc faaaad caa ebbbbbbbge faaaaf caa ebbbbbbbge daaaaf caa ebbbbbbbbe caaaaa aa ebbbbbbbbe caaaaac aa bbbbbbbe faaaac aa bbbbbe faaaad aa bbbe daaaaf fa be daaaaf fa c caaaaa fa caaaaac da faaaac da faaaad da daaaaf ca daaaaf ca caaaaac ca caaaaac a faaaad a faaaad a daaaaf a caaaaf f caaaaac f aaaaac f faaaad d faaaad d daaaaf d aaaaa c aaaac c aaac c aad af ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#da3919ff b,#919e0cff c,#e9c8afff d,#e98f7dff e,#b9c266ff f,#e16349ff g,#f5e8ddff ``` ```image eb ebbbe cbbbbbb cbbbb bb cbbbba ebc gbbbbaaa gbb gbbbbcaaaa g gbbbbcgaacaa bbbbc aad aa bbbbc aaf aa bbbbe faa aag bbbbe daa fac ebbbe caag dac ebbbe aac dad ebbbe aad caf ebbbb aaa gaf ebbbb faa aa cbbbb daa aa cbbbb gaag aa cbbbbg aac aa gbbbbg aaf aa gbbbbg aaa aa gbbbbc faa aa bbbbc caa aag bbbbc gaag fac bbbbe aad dac bbbbe aaf dad ebbbe aaa caf ebbbe faa gaf ebbbe caa aa ebbbb gaac aa ebbbb aad aa cbbbb aaf aa cbbbbg faa aa cbbbbg daa aa gbbbbg caag aa gbbbbg gaac aag gbbbbc aad fac bbbbc aaf dac bbbbc faa dad bbbbe daa caf gbbe gaag gaf e aac aa aaf aa aaa aa faa aa daa aa gaag aa aac aa aaf aag aaa fac faa dac caa dad gaag caf aad gaf aaf aa aaa aa daa aa caa aa gaac aa aad aa aaf aa faa aag daa fac caag dac aac dad aad caf aaa gaf af faa aa daaaad daa aa daaaaad gaag aa daaaaad aac aa daaaaad aaf aa faaaaaaa aa gfaaa aa g aag fac dac dad caf gdc ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#db723fff b,#b99ec9ff c,#d34f0fff d,#9a72b1ff e,#efc2acff f,#e9dce4ff g,#e59b78ff ``` ```image feegg feeggaaccccccccccccccc eaccccccccccccccccaaggeef ccaaggeef gcc cce gcc cce gcc cce gca cce gca fccf aca fccf aca fccf aca fccf aca fccf acg ecc fd acg bdb ecc fdd ccg bdb ecc fdd ccg bdb ecc fdd ccg fddb ecc bddb cce dddf a fddd bddb fdddf bddb dddb fdddf bddb fdddf ddd dd dd dd dd fdb fdb bdf bdf dd dd dd dd fdb fdb bdf bdf dd dd dd dd fdd fdb bdb bdf ddf dd dd dd dd fdb fdb bdf bdf dd dd dd dd db ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#d971faff b,#7f5f87ff c,#e9c4f5ff d,#c0aec8ff e,#b0d7b0ff f,#9c86a2ff g,#96c896ff ``` ```image dc fbbbbbbdc bbbbbbbbbbbbbdc bbbbbbbbbbbbbbbbbbbdc bbb cdbbbbbbbbbbbbbbbbbfdcgeeeeeeeeeeeeeeg bbb cdbbbbbbbbbbbbbbbbbbfeeeeeeeeeeg bbb cdbbbbbbbbbbbbbbbbbbfeeeeg bbb cfbbbbbbbbbbbbbbbbbbd bbfc bbb eegfbbbbbbbbbbbbbbbbbfd bbb cbbb eeeeeeaaafbbbbbbbbbbbbbbbbbfd bbb dbbb eeeeedaaaaeeeegbbbbbbbbbbbbbbbbbbfd cbbb dbbf eeeeeaaaaadeeeeg dfbbbbbbbbbbbbbbbbbb fbbf eeeeaaaaaaaeeeeg dfbbbbbbbbbbbd bbbd eeeaaaadaaadeeeg dfbbbbb bbbd eedaaaaedaaaeeeg bbbc eeaaaaeeeaaadeeg bbb eaaaaeeeedaaaeeg bbb daaadeeeeeaaadeg bbb caaaaeeeeeedaaaeg bbb aaaaeeeeeeeeaaadg bbb aaaaeeeeeeeeeaaaag bbb caaadeeeeeeeeeeaaad cbbb aaaaeeeeeeeeeeeaaaa c dbbb aaaaeeeeeeeeeeeeeaaac dbb dbbb aaaa eeeeeeeeeeeeeaaaa bbbd fbbf caaac eeeeeeeeeeeeeeaaac fbbb fbbd aaaa ggggggggggggggaaaa bbbd bbbd aaaa aaac fbbb bbbc aaaa aaaa bbbd bbb caaac aaac fbbb bbb aaaa aaaa bbbd bbb aaaa aaa dbbb bbb aaaa aaaa bbbf bbb caaac aaa dbbb bbb aaaa aaaa aaa bbbf cbbb aaaa aaa aaac dbbb dbbb aaaa aaaa aaa bbbf dbbb caaac aaa aaaa dbbb fbbf aaaa aaac aaa bbbf fbbd aaaa caaa caaa cbbb bbbd aaaa caaa aaaa bbbbbbbc caaac caaa aaa cbbbbbbc aaaa caaa caaa bbbbbbggggggggaaaa caaa aaaa gbbbbbeeeeeeeaaaa caaa aaa gbbbbbeeeeeedaaac caaa caaa gebbbbeeeeeeaaaa aaa aaaa gebbbbeeeeeaaaae aaa aaa geebbbeeeeaaaade aaa caaa geegfeeeedaaaaee aaa aaaa geeeeeeeeaaaaeee aaa aaa geeeeeeeaaaaeeee aaa caaa geeeeeeaaaadeeee aaa aaaa geeeeedaaaaeeeee aaa aaa geeeeeaaaaeeeeee aaa caaa geeeeaaaaeeeeeee aaa aaaa geeeaaaadeeeeeee aaa aaa geedaaaaeeeeeeee aaa caaa geeaaaaeeeeeeeee aaa aaaa geaaaaeeeeeeeeee aaa aaa gdaaadeeeeeeeeee aaac caaa gaaaaeeeeeeeeeee aaac aaaa aaaaeeeeeeeeeeee aaac aaa aaaaeeeeeeeeeeeee aaac caaa caaadeeeeeeeeeeeee aaac aaaa aaaagggggggggggggg aaac aaa aaaa aaaa caaa aaaa caaa aaac caaac caaa aaa aaaa caaacaaa aaaa caaaaaac aaaa caaaaaa caaac caaaaaa aaaa aaaaac aaaa aaaaa aaa aaaaa ac aaaac aaaa aaaa aaac aaa aaa ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#d96ffaff b,#7f5f87ff c,#e191fbff d,#ae9ab3ff e,#f4defbff f,#ebb5fcff g,#d1c6d4ff ``` ```image bbbbbbbbbbbb faa bbbbbbbbbbbb eaaa dbbbbbbbbbbb eaaaa ebbbbbbbbbbb caaaa dbbbbbbbbbd faaaaa ebbbbbbbbbd eaaaaaa dbbbbbbbbd eaaaaaaa ebbbbbbbbd caaaaaaa dbbbbbbbg faaaaaaaf ebbbbbbbg eaaaaaaac dbbbbbbg eaaaaaaaa bbbbbb caaaaaaae gbbbbd faaaaaaaf gddg eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac aaaaaaaa caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae caaaaaaae faaaaaaaf eaaaaaaac caaaaaaae aaaaaaae aaaaaaf aaaaac aaaaae aaaaf aaac ```  Area A doesn't meet the criteria for an intersection. Time for a closer look at another area. I'm analyzing this close-up of area B with precision.  ```palette Key,Color ,#fefefeff a,#d96ffaff b,#7f5f87ff c,#e49afbff d,#c8bacbff e,#f3e3f9ff f,#9f83a6ff g,#ecbafcff ``` ```image bffdde bbbbbbbffdde bbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dffbbbbbbbbbbbbbbbbbbbbbbbbbbbb eddffbbbbbbbbbbbbbbbbbbbbbb eddfbbbbbbbbbbbbbbbbb caaaafffbbbbbbbbbb gaaaaaaae eddffbbbb eaaaaaaaac edd aaaaaaaaaae caaaaaaaaaac gaaaaaaaaaaaae eaaaaaaaaaaaaac aaaaaaaaaaaaaaae caaaaaaaegaaaaaac gaaaaaaag aaaaaaae eaaaaaaac gaaaaaac aaaaaaaae aaaaaaae caaaaaaae gaaaaaag gaaaaaaag eaaaaaaa eaaaaaaac caaaaaag aaaaaaaae eaaaaaaa caaaaaaag caaaaaag gaaaaaaac eaaaaaaa aaaaaaac caaaaaag aaaaaaae eaaaaaaa aaaaaag caaaaaag aaaaac eaaaaaaa aaaac caaaaaag aaaae eaaaaaaa aaag caaaaaa aac eaaaaaa aa caaaaa ae eaaaaa g caaaa eaaaa caaa eaaa caa ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#d970faff b,#7f5f87ff c,#e6a2fbff d,#b4a1b8ff e,#f1daf9ff f,#9980a0ff g,#d1c6d4ff ``` ```image gg fbbbbbbdg bbbbbbbbbbbbbdg bbbbbbbbbbbbbbbbbbfde bbb edbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfde bbb gdbbbbbbbbbbbbbbbbbfge bbfe ebbb gdbbbbbbbbbbbbbbbbbfg bbbe gbbb caafbbbbbbbbbbbbbbbbbfg bbb gbbb eaaaa gfbbbbbbbbbbbbbbbbbfg ebbb dbbf aaaaac gfbbbbbbbbbbbbbbbbbb fbbf aaaaaaa gfbbbbbbbbbbbd fbbd caaaeaaac egfbbbbb bbbg eaaac caaa e bbbg aaaa aaac bbbe aaaa caaa bbb caaae aaac bbb eaaaa caaa bbb aaaa aaac bbb aaaa caaa ebbb caaae aaae gbbb eaaaa caaa e gbbb aaaa aaae dbb dbbf aaaa caaa bbbg fbbf caaae aaae fbbb fbbd aaaa aaaa bbbg bbbg aaaa aaae fbbb bbbg aaaa aaaa bbbd bbbe caaac aaae dbbb bbb aaaa aaaa bbbd bbb aaaa aaae dbbb bbb aaaa aaaa bbbd bbb caaac aaae dbbb bbb aaaa aaaa aaae bbbf ebbb aaaa aaa aaae gbbb gbbb aaaae aaaa eaaa bbbf dbbb eaaac eaaa aaaa gbbb dbbf aaaa aaac aaae bbbf fbbd aaaa caac eaaa gbbb bbbg aaaae caac aaaa bbbbbbbg eaaac caaa aaae gbbbbbbe aaaa caaa eaaa bbbbbb aaaa eaaa aaaa ebbbbb caaae eaaa aaae bbbbb eaaac eaaa eaaa ebbbb aaaa eaaa aaaa bbbb aaaa aaa aaae bbb caaae aaa eaaa gd eaaac aaa aaac aaaa aaa aaae aaaa aaa eaaa caaae aaa aaac eaaac aaa aaa aaaa aaa eaaa aaaa aaa aaac caaae aaa aaa eaaac aaa eaaa aaaa aaa aaac aaaa aaae aaa caaae aaae eaaa eaaaa aaae aaac aaaa aaae aaa aaaa aaac eaaa caaae aaac aaac eaaaa caac aaa aaaa caac eaaa aaaa caac aaac caaae caaa aaa aaaa caaaeaaa aaaa eaaaaaac aaaa eaaaaaa caaac eaaaaaa aaaa eaaaaac aaaa aaaaa aaa aaaaa ac aaaac aaaa aaaa aaac aaa aaa ```

[ "" ]

I'm analyzing this image to identify any points where lines intersect. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#eccdb1ff b,#cf843bff c,#ddecf2ff d,#d9a975ff e,#96ca96ff f,#f2f4f0ff g,#b0d7b1ff ``` ```image ffffffffffffffff fegggggggggggggge fggggggggggggggge f fggggggggggggggge cc f fggggggggggggggge cc cccf fggggggggggggggge cc cccc fggggggggggggggge cc fcccffggggggggggggggge cc fccccggggggggggggge cc fgccccgggggggggge cc fgggggcccggggggge cc fggggggggccccggge cc fgggggggggggccccg cf fgggggggggggggggcccf cf fggggggggggggggge fcccf cf fggggggggggggggge cccc cf fggggggggggggggge fcccf cf fggggggggggggggge fcccf c fggggggdgggggggge cccc c fgdbbbbbbggggggge fcccf c adbbbbdggggbbgggggge fcccf fc adbbbbaffeeeeeeeebbeeeeeg cccc fc bbbbaf bd fccc f bd bd bd ba ba ba ba ba ba fba fba fbf fbf fbf fbf fbf fbf fbf abf abf ab ab ab ab ab ab ab db db db db db db db db db bb bb bb bb bb bb bd bd bd bd bd bd bd bd bd ba ba ba ba ba ba fba fbf ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#f4e3d3ff b,#cf8137ff c,#dfedf4ff d,#d89b60ff e,#ecceb2ff f,#f0f6f9ff g,#e1b081ff ``` ```image ff cccff cccccccf fcccccccff ffccccccff fcccccccf fcccccccff ffccccccff fcccccccf fcccccccf ffcccc fc ae aegdbbbdf aegdbbbbbbbbbd dbbbbbbbdgea ebbd bbbdgea ebbd ```  My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#f0d9c3ff b,#cf8238ff c,#dfedf4ff d,#d7985cff e,#e8c5a3ff f,#f5f5f4ff g,#e0af80ff ``` ```image f cc f cc cccc cc ccccf cc fcccf cc fcccc cc ccccf cc fcccf cc fcccc cc ccccf cc fcccf cf fcccc cf cccc cf fcccf cf fcccc cf fa cccc c edbbbbd fcccf fc adbbbdef bd fcccc fc adbbbdef bg cccc fc bbbbef bg fccc f bg bg bg be be be be ba fba fba fba fba fba fbf fbf fbf abf abf abf abf abf ab ab eb eb eb eb gb gb gb gb gb db db db db db db db bd bd bd bd bd bd bd bg bg bg bg bg be be be be ba fba fba fbf ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#c8406aff b,#65a74fff c,#b8d6aeff d,#e5a8bbff e,#e9e3deff f,#8ebe7eff g,#d57090ff ``` ```image g gaad aaaaad gaaaaae aaaaaa eaaaaag daaaaad gaaaaae gaaaaa aaaaaa ae eaaaaag gd aaad daaaaadgaae aaaa gaaaaaaaa gaaa aaaaaaad daaae aaaaaa eaaad eggaaa aaag aaae aaaa daaa aaaa aaad gaaa aaa daaae gaaa eaaad aaae aaag daaa aaaa aaad aaaa aaa gaaa ef gaaa daaae bbb aaae eaaad bbbe daaa aaag ebbb aaad aaaa bbb aaa aaaa fbbe gaaa gaaa ebbb aaae daaae bbb daaa aaad fbbc aaad aaag bbb aaa aaaa bbb gaaa aaaa fbbc aaae gaaa bbb daaa eaaae bbb aaag aaad cbbc aaa aaag bbb gaaa aaaa bbb aaae gaaa cbbf eaaa gaaa bbb aaag eaaae bbb aaa aaad cbbf gaaa aaag bbb aaae aaaa bbbe eaaa gaaa ebbf aaaaaaa bbb aaaaae bbbe gaaad ebbb aag bbb fbbe ebbb bbb fbbc bbb bbb fbbc bbb bbb cbbc bbb bbb cbbf bbb bbb cbbf cfbb bbb ecbbbbbbbb bbbe cfbbbbbbbbbbbbb ebbf ecbbbbbbbbbbbbbbbce bbb cfbbbbbbbbbbbbbbfe bbbe efbbbbbbbbbbbbbbfce ebbb ecfbbbbbbbbbbbbbbfe bbb cfbbbbbbbbbbbbbbfc fbbe ecbbbbbbbbbbbbbbbce ebbb cfbbbbbbbbbbbbbbfc bbb ecbbbbbbbbbbbbbbbce fbbbbbbbbbbbbbbfc bbbbbbbbfce fbbfe ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#35f6d0ff b,#c97ba2ff c,#9bfae7ff d,#daa5bfff e,#ebcfddff f,#cffcf3ff g,#66f8dbff ``` ```image aa gg g ca fc ac a gg a ca c ac g gg a ca g fac fc ag a ca a faf c ag g ca a faf c ag ca faf c ag gac ca faaf faf cag ag gac ga faaf faf cag ac gac ga faaf faf cag ac ga e ebbbde edbbbde edbbbde edbbbe ebbbde edbbbde edbbbde edbbbe ebbbde edbbbde edbbbdee eddbbbbdde eedbbb ```

[ "" ]

Let's examine this image for potential line intersections. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#bc1044ff b,#66e5d0ff c,#d792a3ff d,#eaf0edff e,#c64268ff f,#afd6afff g,#a6efe3ff ``` ```image b gbb gbbg gbbbd bb bb bb bb bb gbg bb bbd bb bb bg bb bg dbb bd gbg dbd bbd gb bb gb dbb dbg gb gbg bb bb bbd dbg bb bb bb bb bb bb bb gbb bb bb dddddddddbbgdddddd bb bg dffffffffffbbffffff bb bg dfffffffffffbbfffff bb bd dffffffffffffbbffff bb dbd dffffffffffffbbbfff bb gb dfffffffffffffbffff gbd gb dffffffffffffffffff bb gb dffffffffffffffffff gbd dbb dffffffffffffffffff bb dbbbg dffffffffffffffffff gbd gbbbg dffffffffffffffffff bb gbbbg dffffffffffffffffff gbd gbbbd dfffffffffffffaffff bb gbbbd dfffffffffffeaacfff gbg bbbbd dffffffffffaaafffff bb bbbb dffffffffeaacffffff dbg dbbbb dfffffffaaaffffffff bb dbbbg dfffffeaacfffffffff dbg gbbbg dfffcaaefffffffffff bb gbbbg dffaaafffffffffffff dbg gbbbd dcaaeffffffffffffff bb bbbbd aaaffffffffffffffff bb bbbb caaefffffffffffffffff bb dbbbb aaadffffffffffffffffff bb dbbbg caae dffffffffffffffffff bb dbbbg aaad dffffffffffffffffff bb gbbbg caac dffffffffffffffffff bbbbbg aaa dffffffffffffffffff bbd caac ffffffffffffffffff daaa eaac daaa eaac daaa eaac daae eaad daae eaad caae aaad caae aaad caae aaad caac aaa caac daaa eaac daaa eaac daaa eaac daae eaad dd daae caaaaaaaaad daaaacdceaae aaed c ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#bc1044ff b,#67e5d1ff c,#e5a3b7ff d,#aef1e6ff e,#c73964ff f,#f3d7dfff g,#d56b8bff ``` ```image bbbbd bbbb dbbbb dbbbd bbbbd bbbb dbbbb dbbbd dbbbd bbbd bd cc fgaaf caaaag fgaaaaac caaaaagf feaaaaac caaaaagf feaaaaec caaaaag feaaaaec gaaaaag feaaaaef gaaaaag feaaaaef gaaaaag feaaaaef gaaaaac ceaaaaef gaaaaac aaaaef aaac aef c ```  Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#bc1044ff b,#65e5d0ff c,#df8da6ff d,#cbf6efff e,#ca456dff f,#f0cad6ff g,#95eddfff ``` ```image b dbb gbbg gbbbd bb bb bb bb bb dbg bb bbd bg bb bg bb bd dbb bd gbd db bb db bb gb dbb dbg gb gbg bb bb bbd bg bb bb bb bb bb bg bb dbg bb bg bbd bb bg bb bb bd bb bb bd dbb gb db gbg bb db b gb gb bb gb gbd bb bb dbbbg gbd dbbbg bb dbbbd dbd gbbbd a bb gbbbd eaac dbd bbbb faaa bb bbbb eaaf dbg dbbbg faaa bb dbbbg eaaf dbg dbbbg faae bb gbbbd eaaf bg gbbbd faae bb gbbbd aaaf bg bbbb caae bb bbbb aaa bb dbbbg caae bb dbbbg aaa bb dbbbg caac gbbbbd aaa bbd caac aaa eaac aaa eaac faaa eaaf faae eaaf faae eaaf faae aaaf caae aaa caae aaa caac aaa caac aaa eaac aaa eaac faaa eaaf faae eaaf ff faae eaaaaaaaaaf faaaacfceaae aae c ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#bac61dff b,#d13bc4ff c,#dbe18bff d,#efbceaff e,#c8d14cff f,#de75d5ff g,#edf0c6ff ``` ```image d bbb fbbbbd dbbbbb bbbbbd bbbbbf fbbbbb dbbbbbd bbbbbf fbbbbb dbbbbb bbbbbd fbbbbf dbbbbbb fbbbbbbd dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf dbbbbbbbd fbbbbbbf fbbbbbbd fbbbbf fbbbd fbbbd fbbbd fbbbd fbbbd fbbbd ce dbbbd gaae dbbbd aaaa dbbbd aaaaag dbbbd eaaaaaa dbbbd caaa aaa dbbbf gaaa gaac bbbf aaac aaa bf aaae eaag eaaa aaa gaaa aaa aaag caac aaae aaa eaaa aaa caaa gaae gaaa aaa aaac eaag aaae aaa eaaa aaa gaaa caac aaag aaa aaae aaa eaaa gaae caaa aaa aaag eaag aaac aaa aaae aaa eaaa caac gaaa aaa ag aaag aaa caaa aaae gaae gaaaaag eaaa aaa eaaaac ggcceeaaaaa eaag caaaaa ceaaaaaaaaaaaaaaaaaaag aaa aaaaag aaaaaaaaaaaaaaaaaaaac aaa eaaaae eaaaaaaaeeccgg gaac caaaaa aaa aaaaag eaag eaaaae aae gaaaaa aaa aaaaag caaaaaaae aaaaaa aaaac ae ```

[ "" ]

Here's an image. My task is to find intersections or areas where lines come close together. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#99c58aff b,#df4882ff c,#b2d7b1ff d,#ec8db2ff e,#db0358ff f,#ebe0dcff g,#77a749ff ``` ```image eebf feeeeeeed feeedeeeeeeeed deee deeeeeeebf deeb fbeeeeeeeb beeb fbeeeeeeed beeb deeeeeeee eeed deeeb eeed ff eeef eeef eee eee feee ag caaaaaaaaaaeeeaaaaagggg accccccccdeeeccccggggggf acccccccbeeecccgggggcggf accccccbeebccaggggaccggf acccccbeebcaggggaccccggc acccceeebaggggaccccccggc accceeegggggaccccccccgga acceeeggggaccccccccccaga aceeegggaccccccccccccagg aeeeggaccccccccccccccagg eeegaccccccccccccccccagg feeeggcccccccccccccccccagg g feeeggaccccccccccccccccccgg ggg deeeaggcccccccccccccccccccgg ggg deee aggcccccccccccccccccccgg ggg beeb aggcccccccccccccccccccgg ggg beeb gggcccccccccccccccccccgg ggg eeed ggacccccccccccccccccccgg ggg eeed ggccccccccccccccccccccgg ggg eeef ggccccccccccccccccccccgg ggg eef cggccccccccccccccccccccgg ggg eee ggaccccccccccccccccccccggf fggg ee ggaccccccccccccccccccccggf fggg bee ggaaaaaaaaaaaaaaaaaaaaaggc fggg eef gg ggc fggg eee cgg aga fggg fee gga aga fggg eeb ggf agg fggg dee gg cgg cggg eed fgg cgg cgga bee cgg fgg cgga eef ggc fgg cgga eee ggf gg cgga fee gg gg agga eeb fgg ggagga dee agg gggga eed ggc gggc bee gg ggc eb eef gg f beeeed eee fgg feeeeeb fee agg deeeeeeb ggc feeee gg df gg fgg aga ggc gg gg cgg aga ggf gg gg agg aggga fgggggf fgggggf cgggga agggga gggggc fgggggf cggggg cgggga agggga cgggc gf ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#9dbe7aff b,#d44372ff c,#c1d7acff d,#ee93b7ff e,#da0257ff f,#e7e6daff g,#77a648ff ``` ```image feeeeeed faggggg deeeeeef faggggggg deeeeeef faggggggggg deeeeeef faggggggggagg deeeeebf faggggggggaffgg deeeeeb faggggggggaf fgg beeeeeb faggggggggaf gg beeeeeb faggggggggaf gg beeeeeb faggggggggaf gg fbeeeeed faggggggggaf gg fbeeeeedfcggggggggaf gg feeeeeedcggggggggaf ag feeeeeeaggggggggaf ag deeeeeeggggggggac ag deeeeeegggggggac ag deeeeeegggggggc ag deeeeeeggggggc cg deeeeeegggggc cg beeeeebggggc cg beeeeebgggc cg beeeeebggc cg eeeeebgg fg eeeebgga fg eeebgggc fg eedggggc fg edcggggf g f cgggg g aggga g ggggc g fggggc g cggggf a cgggg a aggga a ggggc a fggggf a cgggg c agggg c aggga c ggggc c ggggf c gggg f gggg f ggga f gggc f gggf ggg ```  The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#9bbe79ff b,#e44483ff c,#bfd6aaff d,#ec8db2ff e,#db0358ff f,#eae1dbff g,#76a747ff ``` ```image eebf feeeeeeed feeedeeeeeeeed deee deeeeeeebf deeb fbeeeeeeeb beeb fbeeeeeeed beeb deeeeeeee eeed deeeb eeed ff eeef eeef eee eee feee ag feee aggg deee agggggf deeb aggggfggf beeb aggggf ggf beeb aggggf ggc eeedcggggf ggc eeedggggf aga eeeggggc aga eeegggc cga eeeggc cgg eeegc cgg feeega fgg g feeeggc fgg ggg deee gg gg ggg deeb gg gg ggg beeb cgg gg ggg beeb aga gg ggg beed ggf gg ggg eeed gg gg ggg eeef gg gg ggg eef cgg gg ggg eee aga ggf fggg ee ggf ggf fggg bee gg ggc fggg eef gg ggc fggg eee cgg aga fggg fee ggc aga fggg eeb ggf cga cggg dee gg cgg cgga eed fgg cgg cgga bee cgg fgg cgga eef ggc fgg cgga eee ggf gg cgga fee gg gg agga eeb fgg ggagga dee agg ggggc eed ggc gggc bee gg ggc eb eef gg f beeeed eee fgg feeeeeb fee aga deeeeeeb ggc feeee gg df gg fgg aga ggc gg gg cgg aga ggf gg gg agg agggc fgggggf fgggggf cgggga agggga aggggc fgggggf cggggg cgggga aggggc cgggc gf ```

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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.  ```palette Key,Color ,#fefefeff a,#741f14ff b,#8cb80eff c,#ba968eff d,#b0d4acff e,#e5e1cfff f,#965f53ff g,#accc59ff ``` ```image ed gbbg bbbbbe bbbbbbb ebbbbbbbbg dbbbbg gbbbe gbbbbd bbbb bbbbbe bbbg dddddddbbbbbdddd gbb ddddddbbbbbddddd e dddddbbbbbddddaaf dddgbbbbgddddaaaa ddbbbbbgddddaaaaa dbbbbbdddddfaaaaa bbbbbddddddaaaaaa ebbbbbddddddaaaaaaae bb dbbbbgddddddaaaacaaac dbbbe gbbbbgddddddfaaafdaaaf bbbb bbbbbgdddddddaaaaddfaaa bbbg bbbbb dddddddaaaadddcaaa gbbb bbbbb ddddddaaaadddddaaa bbbb ebbbbg dddddfaaafdddddaaa ebbbe gbbbbg dddddaaaaddddddaaa bbbb gbbbbe ddddaaaadddddddaaae bbbg bbbbb dddaaaaddddddddaaac gbbb bbbbb ddfaaafddddddddaaaf bbbb ebbbbb ddaaaadddddddddfaaa ebbbd dbbbbg daaaaddddddddddfaaa bbbb gbbbbd aaaadddddddddddcaaa bbbb bbbbbe faaafddddddddddddaaa gbbbe bbbbb eaaaadddddddddddddaaa bbbb bbbbb aaaaddddddddddddddaaae ebbbg ebbbbg aaaadddddddddddddddaaac bbbb gbbbbg faaafdddddddddddddddaaaf bbbb gbbbbe eaaaaddddddddddddddddfaaf dbbbe bbbbb aaaa caaa bbbb bbbbb aaaa eaaa bbbg ebbbbb faaac aaa gbbb dbbbbg daaaa aaa aa bbbb gbbbbd eaaaa aaa eaaa ebbbe bbbbbe aaaa aaad aaaa bbbb bbbbb aaaae aaac daaa bbbg bbbbb aaaac faaf aaaf gbbb ebbbbg faaaf caaa caaa bbbb gbbbbg caaaa eaaa aaac ebbbd gbbbbe eaaaa aaa faaa bbbb bbbbb aaaa aaa aaad bbbbbbbb aaaae aaa aaaa gbbbbbb aaaac aaae aaae bbbbg faaaf aaac aaaa ebbd caaaa faaf eaaa eaaaa caaa aaaf aaaa daaa caaa aaaae aaa aaaf aaaac aaa faaa faaaf aaa aaac caaaa aaae faaa eaaaa aaae aaaa aaaa aaaae eaaa aaaad aaaa faaaf daaa caaaa aaaf eaaaa caaa aaaa aaac aaaa faaa aaaae aaad aaaac aaaa faaaf aaae daaaa aaaa eaaaa eaaa aaaa aaaf aaaae caaa aaaac aaaf faaaf faaa caaaa aaaceaaaa faaaaaaa aaaaaae aaaaac eaaaf aaa ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#741f14ff b,#8cb80eff c,#b0807aff d,#d0c2a9ff e,#eae6d9ff f,#914d45ff g,#accc52ff ``` ```image ebbbbbbbbbge dbbbbbbbbbg gbbbbbbbbbd gbbbbbbbbbd egbbbbbbbbbe efaa ebbbbbbbbbge efaaa dbbbbbbbbbg faaaa dbbbbbbbbbg caaaaa gbbbbbbbbbd daaaaaa egbbbbbbbbbe eaaaaaaa ebbbbbbbbbbe faaaaaaa ebbbbbbbbbg caaaaaaaa dbbbbbbbbbg daaaaaaaaa bbbbbbbbbd eaaaaaaaaaa bbbbbbbbd faaaaaaaaaa bbbbbbbe caaaaaaaaaaa bbbbbge daaaaaaafdaaa bbbbg eaaaaaaaaeeaaa bbbg faaaaaaad aaa bbd caaaaaaac aaa be daaaaaaaf faa e eaaaaaaaae caa faaaaaaad caa caaaaaaac daa daaaaaaaf daa eaaaaaaaae eaa faaaaaaad aa caaaaaaac aa daaaaaaaf fa eaaaaaaaae ca faaaaaaad ca caaaaaaac da daaaaaaaf da eaaaaaaaae ea faaaaaaad a caaaaaaac a daaaaaaaf f eaaaaaaaae f faaaaaaad c caaaaaaac c daaaaaaaf d aaaaaaaae e aaaaaaad e aaaaaac aaaaaf aaaaae aaaad aaac aaf aae ad c ```  The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#741f14ff b,#8cb80eff c,#b88d88ff d,#cdd09eff e,#e7e3d4ff f,#995b53ff g,#a8c949ff ``` ```image ed gbbg bbbbbe bbbbbbb ebbbbbbbbg dbbbbg gbbbe gbbbbd bbbb bbbbbe ebbbg bbbbb gbb bbbbb e ebbbbg aac dbbbbd aaaa gbbbbe aaaaa bbbbb caaaaa bbbbb eaaaaaa ebbbbb aaaaaaae bb dbbbbg aaaaeaaac dbbbe gbbbbd caaaf aaaf bbbb bbbbbe eaaaa faaa bbbg bbbbb aaaa caaa gbbb bbbbb aaaae eaaa bbbb ebbbbg caaaf aaa dbbbd dbbbbd eaaaa aaa bbbb gbbbbe aaaa aaae bbbg bbbbb aaaae aaac gbbb bbbbb caaac aaaf bbbb ebbbbb eaaaa faaa ebbbd dbbbbg aaaa caaa bbbb gbbbbd aaaae eaaa bbbg bbbbbe faaac aaa dbbbe bbbbb eaaaa aaa bbbb bbbbb aaaa aaae ebbbd ebbbbg aaaae aaad gbbb dbbbbd faaac aaac bbbb gbbbbe eaaaa faaf dbbbe bbbbb aaaa caaa bbbb bbbbb aaaa eaaa bbbg ebbbbb faaac aaa gbbb dbbbbg daaaa aaa aa bbbb gbbbbd eaaaa aaa eaaa dbbbd bbbbbe aaaa aaad aaaa bbbb bbbbb aaaae aaac daaa bbbg bbbbb aaaac faaf aaaf gbbb ebbbbg faaaf caaa caaa bbbb dbbbbd daaaa daaa aaac ebbbd gbbbbe eaaaa aaa faaa bbbb bbbbb aaaa aaa aaad bbbbbbbb aaaae aaa aaaa dbbbbbb aaaac aaad aaae bbbbg faaaf aaac aaaa ebbd caaaa faaf eaaa eaaaa caaa aaaf aaaa daaa caaa aaaae aaa aaaf aaaad aaa faaa faaaf aaa aaac caaaa aaae faaa eaaaa aaae aaaa aaaa aaaae eaaa aaaad aaaa faaaf daaa caaaa aaaf daaaa caaa aaaa aaac aaaa faaa aaaae aaad aaaac aaaa faaaf aaae daaaa aaaa eaaaa eaaa aaaa aaaf aaaae caaa aaaac aaaf faaaf faaa daaaa aaaceaaaa faaaaaaa aaaaaae aaaaac eaaaf aaa ```

[ "" ]

Alright, let's get to work and investigate this image for intersections. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#ca7094ff b,#894cf3ff c,#bb386eff d,#e1aac1ff e,#b796f5ff f,#edd7eaff g,#aed5afff ``` ```image ccd ccca ccccc cccccc fcccaccc fcccd acc dcccd acc dcccf dcc acccf dcc accc fcc cccc ccf cccc ccf cccc ccd cccc ccd ccca cca fccca cca fcccd ccc dcccd ccc dcccf ccc acccf acc faccc acc facccccc dcc dcccccccccc dcc faccccccccccaf fcc faccccccccccd fcc dccccccccccad ccf faccccccccccaf ccd daccccccccccd ccd dccccccccccaf cca faccccccccccaf cca dcccccccccd ccc cccccaf ccc ccd ccc acc acc ccc acc fccd dcc acc dcc ccc fcc fccf fcc acc ccf ccc ccd fccf ccd ccc cca ccc cca fccf ccc ccc ccc cca ccc dccf ccc ccc acc cca acc dccf dcc ccc dcc cca fcc dccf ccf gggggcccgggg ccf gggggccagggg ccd ggggaccggggg ccd ggggcccggggg cca ggggccaggggg cca gggaccgggggg ccc gggcccgggggg ccc gggccagggggg ccc ggaccggggggg acc ggcccggggggg gggggggggggg gggggggggggg gggbgggggggg ggbbbbgggggg ggebbbbbgggg ggggebbbbbgg ebbbbb ebbbbe bbbbbe feebb bbbbbe feebbbbbbbbbbbb bbbbbe feebbbbbbbbbbbbbbbbbbbbb fbbbbbf feebbbbbbbbbbbbbbbbbbbbbbeef fbbbbbf feebbbbbbbbbbbbbbbbbbbbbbeef ebbbbb feebbbbbbbbbbbbbbbbbbbbbbeef ebbbbbbbbbbbbbbbbbbbbbbbbbeef ebbbbbbbbbbbbbeef ebbeef ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#c45383ff b,#884cf4ff c,#bb376eff d,#d990aeff e,#d7c3faff f,#eed1ddff g,#ab7ff6ff ``` ```image dccccc accccd cccccf dccccc accccd fcccccf dccccc accccd fcccccf dccccc accccd fcccccf dcccca accccd fcccccf dcccca accccd fcccccf dcccca accccd fcccccf fdaca ff ee gbge ebbbbge bbbbbbbge ebbbbbbbbbg ebbbbbbbbbbg ebbbbbbbbbbg ```  There is no intersection present within area A. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ce7097ff b,#884bf4ff c,#bb386eff d,#e1a8c0ff e,#c7aaf9ff f,#ecd5eaff g,#a97df6ff ``` ```image ccd ccca ccccc cccccc fcccaccc fcccd acc dcccf acc dcccf dcc accc dcc accc fcc cccc ccf cccc ccf cccc ccd cccc ccd ccca cca fccca cca fcccd ccc dcccd ccc dcccf ccc acccf acc accc acc facccccc dcc dcccccccccc dcc faccccccccccaf fcc faccccccccccd fcc dccccccccccad ccf faccccccccccaf ccd daccccccccccd ccd dccccccccccaf cca faccccccccccaf cca dcccccccccd ccc cccccaf ccc ccd ccc acc acc ccc acc fccd dcc acc dcc ccc fcc fccf fcc acc ccf ccc ccd fccf ccd ccc cca ccc cca fccf ccc ccc ccc cca ccc dccf ccc ccc acc cca acc dcc dcc ccc dcc cca fcc dcc ccf ccc ccf cca ccd dcc ccd ccc cca cca cca dcc ccc ccc ccc ccd ccc acc acc ccc f bf bbbbf ebbbbb ebbbbb gbbbbb gbbbbg bbbbbg fegbb bbbbbe feggbbbbbbbbbbb bbbbbe fegbbbbbbbbbbbbbbbbbbbbb fbbbbbf feggbbbbbbbbbbbbbbbbbbbbbgef fbbbbbf fegbbbbbbbbbbbbbbbbbbbbbggef ebbbbb feggbbbbbbbbbbbbbbbbbbbbbgef ebbbbbbbbbbbbbbbbbbbbbbbbggef gbbbbbbbbbbbbbgef gbggef ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#26a442ff b,#61dc5aff c,#b9e8bbff d,#def5dfff e,#9ae09dff f,#57b86cff g,#7dd880ff ``` ```image geecdd bbbbbbbbbbbbbbggecdd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeccd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeccdd dcceggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgeecdd ddceegbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd dccegbbbbbbbbbbbbbbbbbbbbbbb dccegbbbbbbbbb bbbc bbbb dbbb bbbe gbbb bbb bbbg ebbb bbbd bbbb cbbb bbbc bbbb dbbb bbbe gbbb dbbb bbbg ebbb bbbd bbbg ebbb bbbc bbbb cbbb bbbc bbbb dbbb bbbe gbbb bbbd bbbg ebbb bbbd bbbb cbbb bbbc bbbb dbbb cc bbbe gaaaaae gbbb aaaaaaaaaagd dbbb aaaaaaaaaaaaaafc bbbg aaa eaaaaaaaaaaaaafc ebbb caaa cfaaaaaaaaaaaaae bbbd faaa dfaaaaaaaaaaaaagd bbbg aaaf dgaaaaaaaaaaaad cc aaac eaaaaaaaaaa aaa cfaaaaaaa caaa eaaaaaaf faaa eaaaaaaf aaaf gaaaaaaf aaac gaaaaaag aaa faaaaaag caaa faaaaaae faaa faaaaaae aaaf aaaaaaac aaac aaaaaaac aaa daaaaaaad caaa daaaaaaad faaa daaaaaaad aaaf caaaaaaa aaac caaaaaaa aaa eaaaaaaf d eaaaaaaf gaaaaaaf gaaaaaag faaaaaag faaaaaae faaaaaae aaaaaaac aaaaaaac daaaaae daaa de ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#c8f92bff b,#f98ecbff c,#d2fa54ff d,#ecfcb8ff e,#dffb86ff f,#faefe9ff g,#fbbce0ff ``` ```image d daa caaa eaaa daaaf d faaad eaa aaae aac aaac aaf aaaa eaa caaa aac eaaa aad daaaf eaa faaad aaa aaae aad aaac eaa aaaa aaa caaa aad eaaa eaa daaaf aaa faaad aad aaae daa aaac aaa aaaa aad caaa daa eaaa aaa daaaf aad faaad daa aaae aaa aaac aad aaaa daa caaa aaa eaaa aad daaaf daa faaad aaa aaae aae aaac daa aaaa aaa caaa aae eaaa daa daaaf caa faaad aae aaae faa aaac caa aaaa aae caaa faa eaaa caa daaaf aae faaad faa aaae caa aaac aae aaaa faa caaa caa eaaa aae daaaffaa faaacaa aaaac aaaf cc bf bbb bbb fbbb gbbb gbbg bbbg bbbf fgbb bbb gbbbbbbbg bbb fgbbbbbbbbbbbb fbbb gbbbbbbbbbbgf bbb fbbb fbbbbbbbbbbbf fbbf gbbg fgbbbbbbbbbbg bbb bbbg gbbbbbbbbbbgf bbb bbbf fgbbbbbbbbbbg gbbf bbb fgbbbbbbbbbbgf bbb bbb gbbbbbbbbbbgf bbg bbb fgbbbbbbbbbbg bbb fbbb gbbbbbbbbbbgf bbb gbbbbbbbbbbbbg fbb bbbbbbbgf f ggf ```

[ "" ]

This image might have some surprises. Let's look for intersections carefully. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#e4cbcaff d,#b0d5afff e,#f2eceaff f,#c99aa0ff g,#96ca96ff ``` ```image ac caaa eaaaaaa aaaaaac caaaaaa eaaaaaae aaaaaac caaaaaa eaaaaaae aaaaaac caaaaaa eaaaaaa aaaaaae caaaaac caaaaaa eaaaaaae aaaaaac caaaaaa ee eaaaaaae aaae aaaaaac eaaaa caaaaaa aaaaa eaaaaaae aa caaaaae aaaaaac abbb aaaaaaa caaaaaa cbbbbbf aaaaeaaa aaaaaae cbbbbbbf eaaac aaae caaaac ebbbbbbb aaaa aaaa aaaa bbbbbbbe caaae eaaa caaa cbbbbbe aaaa aaae aaac bbbbc aaaa aaaa caaa abbbe eaaae eaaa aaac bbbb aaaa aaac caaa bbbb aaaa aaaa aaac ebbba eaaac eaaa caaa bbbb aaa aaac aaac abbbe ee aaaa caaa bbbb eaaa aaac fbbb aaac caaa ebbbf caaa aaac bbbb aaa caaa cbbbc b aaac aaac bbbb fbb caaa caaa fbbbe abbbbe aaae aaac bbbf fbbbbc aaac caaa bbbb abbbba caaa aaac cbbbc cbbbbf aaae caaa bbbb ebbbbb aaaa aaac abbbe bbbbb caaa caaa bbbb bbbbbe aaae aaac bbbb fbbbbc aaaa caaa ebbba abbbba caaa aaac bbbb cbbbbbggggaaadgggaaaa abbbe ebbbbbdddaaaadddaaaa bbbb bbbbbdddaaaddaaaag fbbb ebbbbbddaaaddaaaag ebbbf edbbbbbdaaaaaaaadg bbbb eddfbbbbfaaaaaaadg cbbbc edddfbbbbaaaaaaddg bbbb edddddbbbaaaaaaddg fbbbe eddddddbbfaaaadddg bbbf edddddddbbaaaadddg bbbb eddddddddbfaabdddg cbbba edddddddddfbbbbfdg bbbb eddddddddddfbbbbfg bbbc eddddddddddddbbbbb cbbb edddddddddddddbbbbb bbbb egdddddddddddddbbbbb bbbe eeeeeeeeeeeeeeebbbbbe abbb fbbbbc bbbf abbbba bbbe cbbbbf abbb ebbbbb bbbf bbbbb bbbe bbbbbe abbb fbbbbc bbbf abbbba ebbbe cbbbbf fbbb ebbbbbbbbf bbbbbbb bbbbbb bbbba fbb ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#ecdadcff d,#e1c6c5ff e,#f4eaeaff f,#ca939cff g,#d1a4a9ff ``` ```image bbbg eaaaaaaa eaaaa bbbbfe daaaaaae daaaa bbbbbfe caaaaaad eaaaaa bbbbbbbc aaaaaaa daaaaa bbbbbbbbd daaaaaac eaaaaaa bbbbbbbbba caaaaaad daaaaaa abbbbbbbbbg aaaaaaa eaaaaaaa dbbbbbbbbbfe daaaaaac daaaaaad cbbbbbbbbbfe caaaaaad eaaaaaaae efbbbbbbbbbc aaaaaaa daaaaaad efbbbbbbbbbddaaaaaadaaaaaaae gbbbbbbbbbaaaaaaaaaaaaaad abbbbbbbbbaaaaaaaaaaaaae dbbbbbbbbgaaaaaaaaaaad cbbbbbbbfaaaaaaaaaaae cfbbbbbbaaaaaaaaaad efbbbbbgaaaaaaaaae gbbbbfaaaaaaaad abbbbaaaaaaaae dbbbgaaaaaad cbbfaaaaaage cbbgaaaagbbc efbfggfbbbbc egbbbbbbbbbd gbbbbbbbbba abbbbbbbbbg dbbbbbbbbb cbbbbbbbb efbbbbbb efbbbbb gbbbb abbb ```  The lines within area A do not intersect. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#d9b7b4ff b,#c3838fff c,#ead7d8ff d,#e1c5c4ff e,#f2e6e6ff f,#cd99a2ff g,#f9f4f5ff ``` ```image ad daaa eaaaaaa aaaaaac daaaaaa eaaaaaag gaaaaaac daaaaaa eaaaaaag gaaaaaac daaaaad caaaaaag gaaaaaac daaaaad caaaaaag gaaaaaac daaaaad caaaaaag ce gaaaaaae aaag aaaaaad eaaaa caaaaaag aaaaa gaaaaaae aa daaaaae aaaaaad dbbb aaaaaaa caaaaaa dbbbbbf aaaacaaa aaaaaae cbbbbbbf eaaac aaae daaaad ebbbbbbbg aaaa aaaa aaaa bbbbbbbe daaag eaaa daaa cbbbbbe gaaad aaac aaad bbbbc aaaa aaaa daaa fbbbe caaac eaaa aaad bbbb aaaa aaac daaa bbbb daaag aaaa aaad ebbba gaaad eaaa daaa bbbb aaa aaac aaad abbbc ge daaa daaa bbbb gaaa aaad fbbbg aaad daaa ebbbf daaa aaad bbbb gaaag daaa dbbbc b aaad aaad bbbb fbbg daaa daaa fbbbg abbbbe gaaag aaad gbbbf fbbbbd aaad daaa bbbb abbbba caaa aaad cbbbd cbbbbf aaag daaa bbbb gbbbbb aaaa aaad abbbe bbbbbg caaa daaa bbbb bbbbbe aaae aaad bbbb fbbbbc aaaa daaa ebbba abbbba caaa aaad bbbb dbbbbf aaae daaa abbbc ebbbbb aaaa aaad bbbb gbbbbb caaa daaa fbbbg bbbbbg aaae aaad gbbbf bbbbbcaaaadaaa bbbb fbbbbaaaaaaad dbbbd dbbbbaaaaaa bbbb ebbbaaaaad fbbbg gbbfaaaa gbbbf bbaaad bbbb bfaabe cbbbd fbbbbd bbbb dbbbbf bbbc cbbbbb dbbb gbbbbb bbbb bbbbbg bbbc bbbbbe abbb fbbbbd bbbf abbbba bbbe cbbbbf abbb ebbbbb bbbf bbbbb gbbbe bbbbbe abbb fbbbbc bbbf abbbba gbbbg dbbbbf fbbb ebbbbbbbbf gbbbbbbbg bbbbbb bbbba fbb ```

[ "" ]

I have an image in front of me. I need to determine if there are any intersection segments. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#9b65a4ff b,#8ee2eeff c,#bba2c0ff d,#e8eff2ff e,#b1d7b1ff f,#96c896ff g,#b8ecf5ff ``` ```image a d aad aa aa daa aa aa aa aad aa aac aa cac aa daa aa daa daa aad daa aad daa cac daa caa dac daa cac aad cac aad cac cac cac caa cad daaddddddddddddddddddddddd aad aaeeeeeeeeeeeeeeeeeeeeeef aad faaeeeeeeeeeeeeeeeeeeeeef aad feaaceeeeeeeeeeeeeeeeeeef aad feecaaeeeeeeeeeeeeeeeeeef aa feeeeaaeeeeeeeeeeeeeeeeef aa feeeeeaaeeeeeeeeeeeeeeeef aa feeeeeeaaeeeeeeeeeeeeeeef aa feeeeeeeaaceeeeeeeeeeeeef aa feeeeeeeeaaaeeeeeeeeeeeef aa bbeeeeeeeecaaeeeeeeeeeeef daa gbbbeeeeeeeeeaaeeeeeeeeeef daa bbebbeeeeeeeeeaaeeeeeeeeefdaa dbfeebbbeeeeeeeeaaceeeeeeefaa bbfeeeebbeeeeeeeeaaaeeeeeefa b feeeeebbeeeeeeeecaaeeeeeaa bb feeeeeebbbeeeeeeeeaaeeeeac bd feeeeeeebbbeeeeeeeeaaeeca gb feeeeeeeeebbeeeeeeeeaaeaa bg feeeeeeeeeebbeeeeeeeeaaaf db efffffffffffbbbfffffffaae bb dbb bd bbd gb bbg bg dbb db bbd bb bbg b gbb bb bb bd bbg gb gbb bg dbb db bbd bb gbg bd dbb gb bbd bg bbg gb gbb bb bb b bbg bb gbb bd dbb gb bbd bg gbg db dbb bb bbd bd bbg gb gbb bg bb gb bbg bb gbb db dbb bb bbd bd gbg gb dbb bg b db bb b bb bg ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#9a61a3ff b,#8fe2f0ff c,#ddc9dfff d,#ebeff6ff e,#ac7db4ff f,#c29fc7ff g,#bbedf5ff ``` ```image aaaf faaaf faaaed caaaad caaaac deaaaf eaaaf faaaed caaaed caaaac deaaac deaaaf faaaed caaaed caaaac deaaac deaaaf faaae dbg faaaed bbbbd caaaac bbbbbd daaaac bbbbbbg deaaaf bbdgbbbg faaaf bg gbbbbd faaaed bd dbbbbg caaaed g dbbbbg caaaac d gbbbbd deaaaf gbbbbg eaaaf dbbbbg faaaed gbbbbd caaaed gbbbbd caaaac c dbbbbg deaaac f gbbbg deaaaf a gbbbbd faaaed ca dbbbbg caaaed fa dbbbbg caaaac aa gbbbbd deaaafaa gbbbbg deaaaaa dbbbbg faaaa ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#9b62a4ff b,#8de2f0ff c,#d3bad7ff d,#d7f4f9ff e,#b489bbff f,#ebe0edff g,#afeaf4ff ``` ```image a f aaf ae aa faa aa aa aa aaf aa eac aa eae aa faa aa aa faa aaf faa aac faa eae fae caa cae faa cae aa cae aaf eac eae eac cae eac faa eaf aa aaf aaf aaf eac aaf cae aa faa aa aa aa aaf aa aac aa eae aa bg caa aa gbbb faa faa bg bbd aaf faa db gbg aac ae bb dbb eae fa b bb caa aa bb bbg faa ac bd gbb aa fa gb bb aafaa bg bbd eaac db gbg ca bb dbb bd bbd gb gbg bg dbb db bb bb bbg b dbb bb bb bd bbd gb gbg bg dbb db bbd bb gbg bd dbb gb bb bd bbg db dbb bb bb b bbd bb gbb bd dbb gb bbd bg gbg db dbb bb bbd b bbg gb dbb bd bb db bbd bg gbb b dbb bb bbd bd gbg gb dbb bg b db bb b gb bd ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#9e8f61ff b,#0fd593ff c,#a8efd7ff d,#ccc5adff e,#e4e9deff f,#5fe3b7ff g,#b1a580ff ``` ```image cbb cbbbbbc cbbbbbbfbb cbbbbbbc bb cbbbbbbc bb cbbbbbbc bbf cbbbbbbc cbb cbbbbbbf bb cbbbbbbf bbc cbbbbbbf fbb cbbbbbbf bb cbbbbbbf bb ebbbbbbf bbf ebbbbbbf cbb ebbbbbbf bb ebbbbbbf bbc efbbbbbf fbb fbf efbbbbbf bb fbbbb cbbbf bb cbbbb f bbf cbbbbe gad cbb ebbbbc aaa bb bbbbc daaag bbc bbbbf aadaae fbb fbbbf eaa daa bb ebbbb aad aag bb bbbbc aa eaa bbbbbbf gag gaa cbbbb aa aad bbe daa daa aae aag eaa aae aad gaa aa aad gag eaa aa gaa daa aad aae daa eaa aag aad aae aa gaa gag aad aa eaa daa aaa aae aae eaa daa aad aag aa aae aag gaa aa aad daa eaa aae aaa daa aae aad daa eaa aag aag aae aa gaa gaa aad aae eaa daa aaa gaad aaa aaad aaae daaa aaae aaag gaae eaaae gaad gaaa gaad aaad daad daaae daag aaag daag eaaad eaag gaaa ead aaag daaae gaaa eaaad daaa aaag eaaae gaaa gaad a ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#59133dff b,#f08eb8ff c,#865572ff d,#e2b8ccff e,#b1d6b0ff f,#f3e6ebff g,#9ab997ff ``` ```image d gac daaa daaa daaa daaa faaa faaa faaa faaa faaa aaaf aaaf aaaf aaaf aaaf aaad caad daac faaa aaa aaaf caag daac aaa aaa aaaf gaac faaa aaa aaa caad daac ffffffffffffff faaa eeeeeeeeeeeeeeg aaa eeeeeeeeeeeeeeg aaaf eeeeeeeeeeeeeeg caad eeeeeeeeeeeeeeg daac eeeeeeeeeeeeeeg aaa eeeeeeeeeeeeeeg aaa eeeageeeeeeeeeg aaaf eecaaageeeeeeeg gaag eeeaaaaageeeeeg faaa eeeeeaaaaageeeg aaa eeeeeeeaaaaageg aaa eeeeeeeeeaaaaag caad eeeeeeeeeeeaaaaad gaac eeeeeeeeeeeeeaaaaad faaa eeeeeeeeeeeeeegaaaaad aaa eeedeeeeeeeeeeg faaaaad aaaf eebbbeeeeeeeeeg faaaaad caad eeebbdeeeeeeeeg faaaaad daac gggbbbgggggggge faaaaad aaa bbd faaaaad aaa dbb faaaaad aaaf bbb faaaaad caag fbbf faaaaaaac bbb faaaaa bbd faa dbb bbb fbbf bbb bbf bbb bbd dbb bbb fbbbdf bbbbbbbbbdf dbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf ffdbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbd fdbbbbbbbb fdbb ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#58133cff b,#f08eb8ff c,#804b6aff d,#d3c1ccff e,#f3aacaff f,#f3e7edff g,#a57f96ff ``` ```image dd cacd daaaacd caaaaaacd faaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaacd fgaaaaaaaaa fgaaaaaaa fgaaaaa fgaaa fga f fbf febbe fbbbbbf ebbbbe bbbbbf ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#59133dff b,#f08eb8ff c,#824e6eff d,#d0bcc8ff e,#f5bad3ff f,#f3e5ebff g,#af8ea2ff ``` ```image d gac daaa daaa daaa daaa faaa faaa faaa faaa faaa aaaf aaaf aaaf aaaf aaaf aaad caad daac faaa aaa aaaf caag daac aaa aaa caaf gaag faaa aaa aaa caad daac faaa aaa aaaf caag daac aaa aaa ad aaaf caaad gaag faaaaad faaa faaaaad aaa faaaaad aaa faaaaad caad faaaaad gaac faaaaad faaa faaaaad aaa ff faaaaad aaaf bbb faaaaad caad bbe faaaaad daac bbb faaaaad aaa bbe faaaaad aaa ebb faaaaad aaaf bbb faaaaad gaag fbbf faaaaaaac bbb faaaaa bbe faa ebb bbb fbbf bbb bbe bbb bbe ebb bbb fbbbef bbbbbbbbbef ebbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef feebbbbbbbbbbbbee eebbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbef febbbbbbbbbbbbbe febbbbbbbb febb ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#880caaff b,#e1a55bff c,#cf9eddff d,#f1d7b7ff e,#ad58c4ff f,#f3e4e7ff g,#e9be8aff ``` ```image dgf fdbbbbbbg fgbbbbbbbdf bb dgbbbbbbgd bb fdbbbbbbbgf gb fgbbbbbbbdf gb gbbbbbbgd db bbgf fb b bf bd bg bg bb bb gb db db fb bf bd bd bg bb bb gb gb fbd c db bb ae fb bb aa b bb faf bf bb ae bd bb ea bg bbf af bg bbf aa bb gbf ea bb gbd ac gb gbd aa db dbg ca db dbg ae fb fbb aa bf fbb fa bd bb ae bd fbbb ea bg dbbbd faf bb gbbbf aa bb fbbbg ea gb dbbbd ac gb bbbb aa db dbbbg ca fb gbbbd ac b fbbbg aa bf dbbbd ca bdgbbbf ae bbbg aa gd faf aa ea ac aa ca ac aa caaef eaaaaaec caaaaaac caaaaaac ceaaaaaef feaaaaaef feaaaaaef caaaaaec caaaaaac ceaaaaac feaaaaaef feaaaaaef caaaaaec caaaaaac ceaaaaac feaaaaaef feaaac ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#070a31ff b,#494b58ff c,#bebec5ff d,#707282ff e,#e2e3e6ff f,#9798a4ff g,#222548ff ``` ```image ae aaad caaaaa aaaaaf baaaaa eaaaaaf baaaag caaaaac gaaaab caaaaae aaaaab faaaaa aaaaad daaaaa eaaaaaf baaaag eaaaaac gaaaag caaaaae gaaaab faaaaae aaaaad daaaaa eaaaaaf baaaaa eaaaaac gaaaag caaaaac gaaaab faaaaae aaaaad daaaaa fdddddddddddd aaaaad gaaaaaaaaaaaaa daaaaa aaaaaaaaaaaaaa eaaaaaf aaabbbbbbbbbbb baaaag aaa caaaaac aaa gaaaag aaa caaaaae aaa aaaaab eaaa faaaaae caaa aaaaad faag daaaaa daab eaaaaaf baad bbbc baaaag gaaf dbbbbbe eaaaaaaaac cbbbbbbbbe gaaaaaae ebbbbdbbbbbb caaaaa bbbb dbbbbbd gaaa bbbb bbbbbbf fad bbbbe ebbbbbbf dbbbf cbbbbbbc fbbbd fbbbbbbe ebbbb fbbbbbb bbbb dbbbbbb bbbb bbbbbbd bbbbe ebbbbbbf dbbbc ebbbbbbc fbbbd cbbbbbbe cbbbb fbbbbbbe ebbbb dbbbbbb bbbb dbbbbbd bbbe bbbbbbd bc ebbbbbbf cbbbbbbc cbbbbbbe fbbbbbbe dbbbbbb bbbbbbd ebbbbbbf ebbbbbbc cbbbbbbc fbbbbbbe dbbbbbb dbbbbbd bbbbbbd ebbbbbbf cbbbbbbc cbbbbbbe fbbbbbbe dbbbbc bbb e ```

[ "" ]

I'm analyzing this image to identify any points where lines intersect. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#b47ef9ff b,#fbe0f5ff c,#cfadfbff d,#e1d8e8ff e,#b2d7b2ff f,#96ca96ff g,#b2add2ff ``` ```image b bbbb bbbb bbbbbb bbbbbbb bbbbbbbb bb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbbb bbbbb bbbbb bbbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb bbbb bbbbb bbbbb bbbbb bbbb bbbb effffffffffffffffffffffffffffffffffffffe bbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbeef bbbbeeeeeeeeeeeeeeeeeeeeeeeedbbbbbbbbeef ebbbbeeeeeeeeeeeeeeeeeedbbbbbbbbbbbbbdef fdbbbbeeeeeeeeeeeedbbbbbbbbbbbbbbbbdeeef fedbbbbeeeeeedbbbbbbbbbbbbbbbbdeeeeeeeef feebbbbddbbbbbbbbbbbbbbbbdeeeeeeeeeeeeef feeebbbbbbbbbbbbbbbbdeeeeeeeeeeeeeeeeeef bb feeeebbbbbbbbbbdeeeeeeeeeeeeeeeeeeeeeeef aaac feeeeebbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaaaac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef daaaaaaaaad feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef baaaaaaaaaab feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef daaaaaaaaac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeef caaaaaaaaac feeeeeeeeeeeeeeeeeeeeeeggaaaaageeeaaagef caaaaaaaaad feeeeeeeeeeeeeeeegaaaaaaaaaaaaaeeeaaagef baaaaaaaaaab feeeeeeeeeggaaaaaaaaaaaaaaaaaaaeeaaaaeef daaaaaaaaac feeegaaaaaaaaaaaaaaaaaaaaaaaaaaeeaaageef caaaaaaaaac dcaaaaaaaaaaaaaaaaaaaaaggeeeeegaaaeaaaaeeef caaaaaaaaad bccaaaaaaaaaaaaaaaaaaaaageeeeeeeeeeeeeaaaeaaaaeeef baaaaaaaaaaaaaaaaaaaaaaaaaaaacdb aaacaaab daaaaaaaaaaaaaaaaaaccb aaaaaaa caaaaaaaaacd aaaaaab ccb aaaaaa aaaaad aaaaa caaac caaa aac ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#b47efaff b,#fbe0f5ff c,#d2b3fbff d,#eadbfdff e,#dfc8fcff f,#fbeffaff g,#c399faff ``` ```image f bf bbf bbb bbbb bbbbb bbbbbf ffbf bbbbbbf fffbbbbbbb bbbbbbbf fffbbbbbbbbbbbb bbbbbbbb fffbbbbbbbbbbbbbbbbb bbbbbbbbb fffbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbb fffbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbf fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbf fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbbf ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbb ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfff bbbbbbbbb ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbbbbbbbff bbbbbbbbbbbbbbbff fbbbbbbbbbff fbfff dge fdecggagd gaaaef fdecgaaaaaaaaaad daaaaaacf fdecggaaaaaaaaaaaaaaaag caaaaaaa fdecgaaaaaaaaaaaaaaaaaaaaaaaa faaaaaaac fdecggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf caaaaaaaf fdecgaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad faaaaaaac fdecggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad eaaaaaaaf fdecgaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcgaaaaaae gaaaaaag decggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaggcedf eaaaaaac eaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcedf eaaaaaac gaaaaaag aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaggcedf daaaaaag daaaaaaae ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#b47ef9ff b,#fce0f5ff c,#d4b6fbff d,#e5d3fcff e,#fdf7fcff f,#f9eaf9ff g,#c49bfaff ``` ```image fe bbbf bbbbe fbbbbbe bbbbbbb ebbbbbbbb ebb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe bbbbe ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb ebbbb fbbbb bbbbb bbbbf bbbbe ebbbb fbbbb bbbbb bbbbf bbbbf efbbb bbbbe efbbbbbbbbe ebbbb efbbbbbbbbbbbbbf fbbbb efbbbbbbbbbbbbbbbbfe bbbbb efbbbbbbbbbbbbbbbbfe bbbbffbbbbbbbbbbbbbbbbfe bbbbbbbbbbbbbbbbfe df bbbbbbbbbbfe aaage ebbbbfe aaaaaac daaaaaaaaad faaaaaaaaaaf daaaaaaaaage dd caaaaaaaaac dcaaaaad aaac egaaaaaaaaad fcgaaaaaaaaaaaa faaac faaaaaaaaagf edcaaaaaaaaaaaaaaaaaaa aaaa daaaaaaaaage fcgaaaaaaaaaaaaaaaaaaaaggaaa aaag caaaaaaaaac edcaaaaaaaaaaaaaaaaaaaaacde daaa gaaa egaaaaaaaaad fcgaaaaaaaaaaaaaaaaaaaagcf faaa aaaa daaaaaaaaaaaaaaaaaaaaaaaaaaaacde aaacaaae daaaaaaaaaaaaaaaaaagcf aaaaaaa caaaaaaaaacde aaaaaaf eccf aaaaaa aaaaad aaaaa gaaac caaa eaac ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#4ce050ff b,#23da29ff c,#c8f1c1ff d,#8cd665ff e,#e3f7dfff f,#7be87eff g,#a9e79aff ``` ```image ge ddddge cddddge cddddge cddddge cddddge cddddge cddddge cddddge cddddc egdddg cdddge eddddc gdddg cdddge eddddc gdddg cdddde eddddc gdddg cdddde eddddc ge gdddg cfbbbbbb cd gabbbbbfc ba cfbbbbbage be gabbbbbfc ab cfbbbbbage bf gabbbbbfc eb ebbbbbage ab aac bg bc gb b ba fb be bf fb b bf eb eb ab ab bg bg b cb gb bb ba bc be fb b ba fb ebe bf ab b bf cb cb aa ab bc bc e gb ba be fb bf eb ab bg cb bb bc fb ba ebe ab bf cb bb bc gb ba be fb bf eb ab bg cb ba bc e ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#e3040dff b,#26fb5fff c,#ed8789ff d,#acd8aeff e,#e6393fff f,#f9cbcdff g,#6df791ff ``` ```image fa faaa caaaac eaaf aa eaa caa aaa aac aaa aa aae eae faae aaf faac faa caaf eae eaaf aa aaa faa e aaa aac cae aaa aa aa aae caa cae faae aaf aa caac aa cae caaf eae aa eaaf aaf cae aaa faa aa aaa aac cae aaa aa aa faae caa cae faac aac aa caac aa cae eaaf eae aa eaa aafcae aaa faaaa aaa eaae aaa aa faae f faac caaf eaaf eaa aaa aaa ddddddddddddaaad dddddddddddaaedd dddddddddcaacddd ddddddddeaacdddd dddddddeaadddddd ddddddaaaddddddd dddddaaabddddddd ddddaaabbbdddddd dddaaebbbbdddddd dddaebbbgbbddddd ddddgbbddbbddddd ddddbbddddbbdddd dddbbdddddbbgddd ddgbbddddddbbddd dddddddddddbbgdd ddddddddddddbbdd ddddddddddddbbgd g dddddddddddddbbd bbbb dddddddddddddgbb bbbbbb ddddddddddddddbb gbbbd dbb ddddddddddddddgbb gbbbg bb bb dbbbg gbg dbb dbbbg bb bb bbbb gbg bb bbbb bb bbd bbbb gbg bb bbbb bb bbd gbbbd gbd bb gbbbd bb gbg gbbbg bbd bb dbbbg bb gbg dbbbg bbd bb bbbb bb dbb bbbb bb bb bbbb bb dbb bbbbd bb bb gbbbd dbb bb gbbbd bb bbd dbbbg dbb bb dbbbg g bbbbbb bbb ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#e4060fff b,#25fb5fff c,#f5abafff d,#c6fcd4ff e,#ea4f54ff f,#6bad4cff g,#77fb9aff ``` ```image eaaaaa eaaaaa eaaaae aaaaae caaaaae caaaaac caaaaac eaaaaac eaaaaac eaaaaa eaaaae caaaaae caaaaae caaaaafbg caaaaafbbbd eaaaaafbbbbb eaaaaafbbbbbbg eaaaaegbbbbbbbb eaaaaedbbbbgbbbbg eaaedbbbbg dbbbb ae gbbbb gbbbg gbbbbd dbbbbd dbbbbg gbbbg bbbbg dbbbbd gbbbb gbbbg gbbbbd bbbbd dbbbbg gbbbb dbbbg bbbbd dbb gbbbb d bbbbg dbbbb bbbbg dbbbb gbbbg dbbbbd gbbbg dbbbb gbbb bbb gbb bb gb ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#e4040dff b,#25fb5fff c,#f1868aff d,#b2fdc6ff e,#e93940ff f,#f8c8caff g,#68fc90ff ``` ```image fa faaa caaaac eaaf aa eaa caa aaa aac aaa aa aae eae faae aaf faac faa caaf eae eaaf aa aaa faa e aaa aac cae aaa aa aa aae caa cae faae aaf aa caac aa cae caaf eae aa eaa aaf cae aaa faa aa aaa aac cae aaa aa aa aae caa cae faac aac aa caac aa cae eaaf eae aa eaa aafcae aaa faaaa aaa eaae aaa aa faae f faac caaf eaaf eaa aaa aaa aae faae faac caaf eaaf aaa aaab aaabbb aaebbbb aebbgdbb gbb bbd bb bb bbd bbd dbg bb bbd bb gbg g bb bbbb gbg gbbbbb bb gbbbd dbb dbb gbbbd bb bb dbbbg dbg dbb dbbbg bb bb dbbbb gbg bb bbbb bb bbd bbbb gbg bb bbbbd bb bbd gbbbd gbd bb gbbbd bb gbg gbbbg bbd bb dbbbg bb gbg dbbbg bbd bb bbbb bb dbb bbbb bb bb bbbb bb dbb bbbbd bb bb gbbbd dbb dbb gbbbd bb bbd dbbbg dbb bb dbbbg g bbbbbb bbb d ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#233a47ff b,#dcbbe4ff c,#859399ff d,#eeeaf1ff e,#4e626bff f,#a3cda4ff g,#b2d6b3ff ``` ```image bb bbbbd bbbbbb dbb bbbbd bbb bbbb bb bbbbd dbb bbbb bbd dbbbb bb bbbbd bbb dbbbb bbd bbbbd bb dbbbb dddddddbbbdd bbbbd fffffffbbgffd bbbb gggggggbbggfd dbbbb ggggggbbbggfd bbbbd ggggggbbgggfd dbbbb ggggggbbgggfd bbbbd gggggbbbgggfd dbbbb gggggbbggggfd bbbbd ggggbbbggggfd bbbb ggggbbbggggfd dbbbb ggggbbgggggfd bbbbd gggbbbgggggfd dbbbb gggbbggggggfd bbbbd gggbbggggggfd dbbbb ggbbbggggggfd bbbbd gggggggggggfd bbbb gggggggggggfd dbbbb gggggggggggfd bbbbd gggggggggggfd dbbbb gggggggggggfd bbbbd gggggggggggfd dbbbb gggggggggggfd bbbbd gggagggggggfd bbbb ggeaafgggggfd dbbbb ggfaaacggggfd bbbbd ffffaaaeffff dbbbb eaaa bbbbd caaad dbbbb daaag bbbbd aaae bbbb eaaa dbbbb caaad bbbb baaab dbbd aaac bbb aaaa dbb caaa dbb gaaab bb daaac bb aaae bbd eaaa bbd gaaad bbb daaac dbb aaae dbb eaaa bb faaad bb daaaf bbd aaae bbd eaaa bbb caaad dbb daaag aaae eaaa caaa baaab aaac aaae caaa gaaab daaac aaae eaaa gaaad daaac db aaae gceaaaaa eaaa bceaaaaaaaaaaaa faaad dceaaaaaaaaaaaaaecd daaaaaaaaaaaaaaaaecb aaaaaaaaecg ccgd ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#223a47ff b,#dcbae5ff c,#72818aff d,#e9d5eeff e,#435762ff f,#a2acb1ff g,#f3ecf6ff ``` ```image bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbb bbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gbbbbd dbbbb bbbbd dbbbbg bbbbb gbbbbd dbbbbg bbbbb gdbbd gg g def geaac caaaaeg geaaaaaeb geaaaaaaf ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#223a47ff b,#dcbae5ff c,#74838bff d,#ece0f0ff e,#475b66ff f,#9aa5abff g,#c5cbceff ``` ```image bb bbbbd bbbbbb dbb bbbbd bbd bbbb bb dbbbd dbb bbbb bbd dbbbb bb bbbbd bbb dbbbb bbd bbbbd bb bbbb bbb dbbbd bbd bbbb dbb dbbbb bbb bbbbd bb dbbbb dbb bbbbd bbd bbbb bb bbbbd dbb bbbb bbd dbbbb bb bbbb bbb dbbbb bbd bbbbd bb bbbb bbb bbbbd bbbb dbbbb bbbb dbbbb bbbbd dbbbb bbbbd e bbbb caad dbbbd daaaf bbbb aaae dbbbb eaaa bbbbd faaad dbbbb daaag bbbbd aaac bbbb eaaa dbbbd caaa bbbb gaaag dbbd aaac bbb eaae dbb caaa dbb gaaag bb aaac bb aaae bb caaa bbd gaaad bbb daaaf dbb aaae dbb eaaa bb faaad bb daaaf bbd aaae bbd eaaa bbb faaad dbb daaag aaac eaaa caaa gaaag aaac aaae caaa gaaag aaaf aaae caaa gaaad daaaf g aaae gceaaaae eaaa gfeaaaaaaaaaaaa faaad dfeaaaaaaaaaaaaaefd daaaaaaaaaaaaaaaaefg aaaaaaaaecg ccg ```

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I'm examining this image closely. My goal: find any and all intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#aaa91aff b,#286fd8ff c,#e1e1afff d,#b6cef1ff e,#6f9fe1ff f,#c1c465ff g,#afd6afff ``` ```image be bbbbd bbbbb dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd bbbbb dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbbbbe ebbbbd ebbbbd dbbbbe dbb be bb db bb bb dbd bb bb fc dbd af bb af eb af be af bb af eb aa be aa bb aa db aa bb aa bb aa dbd aa bb aa bb aa bd aa bb aa eb aa be aa bb aa eb fa be fa bb fa db fa bb fa bb fa ggggggggggggebeggg ca gggggggggggggbgggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ca gggggggggggggggggg ac gggggggggggggggggg ac ggggggggggffaafggg ac gggffaaaaaaaaafggg ac ccfaaaaaaaaaffgggggggg ac cfaaaaaaaaaafggggggggggggggg ac cfaaaaaaaaaffc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af ccfaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaaafc gggggggggggggggggg af cfaaaaaaaaafc gggggggggggggggggg aafaaaaaaaaafcc aaaaaafc ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#aaa919ff b,#296fd8ff c,#d7d693ff d,#c3d6f4ff e,#78a4e6ff f,#c0c056ff g,#ebeac9ff ``` ```image bbbe ebbb dbbbd bbbe ebed gc gccffaaaag ggcffaaaaaaaaaaac ggccfaaaaaaaaaaaaaaaaaac ccffaaaaaaaaaaaaaaaaaaffcgg aaaaaaaaaaaaaaaffccg aaaaaaaaffccg aafccgg ```  The lines within area A do not intersect. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#aaa91aff b,#286ed8ff c,#d9d99aff d,#acc7efff e,#6a9be4ff f,#c2c25cff g,#e5eae2ff ``` ```image bd gbbbbd gebbbbg dbbbbe dbbbbe ebbbbd ebbbbg gbbbbe dbbbbe ebbbbd ebbbbd gbbbbeg dbbbbe dbbbbd ebbbbd gbbbbbg dbbbbe dbbbbd ebbbbd ebbbbg dbbbbe dbbbbe ebbbbd ebbbbg gbbbbe dbb be bb dbg bb bb dbd bb bb fc gbd af bb af eb af be af bb af eb aa be aa bb aa dbg aa bb aa bb aa dbd aa bb aa bb aa gbd aa bb aa eb aa be aa bb aa eb fa be fa bb fa dbg fa bb fa bb ca dbd ca bg ca ca ca gag gag gag gag cfaag ac gfaaaaaaaaac ac gcfaaaaaaaaafc ac gcfaaaaaaaaafcg ac cfaaaaaaaaafcg ac gcaaaaaaaaaafc af gcfaaaaaaaaafc af gcfaaaaaaaaafcg af cfaaaaaaaaafcg af gcfaaaaaaaaafc af gcfaaaaaaaaafcg aafaaaaaaaaafcg aaaaaacg ```

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Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#c128bbff b,#f68f0dff c,#ecc1ebff d,#fcdcb5ff e,#d472d0ff f,#f0b157ff g,#add4abff ``` ```image b bbbb bbbbbf bbbbbbf bbbbbbf bbbbbbf dbbbbbbf dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd fbbbbbbd fbbbbbb fbbbbbb ee fbbbbbb aaa fbbbbbb aaaa bbbbbbf aaa bbbbbbf aaaa bbbbbbf aaac bbbbbbf eaaa dbbbbbbf aaac dbbbbbbd eaaa dbbbbbbd aaae dbbbbbbd caaa dbbbbbbd gggggggggggggggg aaae fbbbbbbd gggggggggggggfgg caaa fbbbbbb ggggggggggggbbbg aaaa fbbbbbb gggggggggggbbbbb aaa fbbbbbb ggggggggggbbbbfg aaaa fbbbbbb gggggggggbbbbfgg aaac bbbbbbf ggggggggbbbbfggg eaaa bbbbbbf gggggggbbbbfgggg aaa bbbbbbf ggggggbbbbgggggg aaac bbbbbbf gggggbbbbggggggg caaa dbbbbbbfgggbbbbgggggagg aaa dbbbbbbfbbbbgggggaaag aaae dbbbbbbbbgggggaaaag caaa dbbbbbgggggeaaaeg aaac gfbbggggggaaaegg eaaa gggggggggaaaaggg aaa ggggggggaaaagggg aaac gggggggaaaaggggg caaa eaaac aaa caaae aaae caaaa caaa aaaa aaa aaaa eaaa aaaa aaa eaaac aaac caaae caaa aaaa aaa aaaa aaae aaaa caaa eaaaac aaa aaaaac eaaa eaaaaa aaa aaaaac aaac caaaaa eaaa aaaaae aaa caaaaa aaae eaaaae caaa aaaaac aaa eaaaaa eaaa aaaaac aaa caaaaa aaac aaaaae eaaa caaaaa aaa eaaaae aaae aaaaac caaa eaaaaa aaa aaaaac eaaa aaaaa aaa eaaaae aaac aaaaac eaaa aaaaa aaa eaaaae aaae aaaaac caaa aaaaa aaaaaaae eaaaaac aaaa aae ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#c128bbff b,#f78f0dff c,#e6a9e3ff d,#fac37dff e,#d060ccff f,#f8a43bff g,#fcdfbcff ``` ```image fd fbbg fbbbbg gfbbbbbb gbbbbbbbb gbbbbbbbbf gbbbbbbbbf gbbbbbbbbf dbbbbbbbbd dbbbbbbbbd dbbbbbbbbd dbbbbbbbbd fbbbbbbbbg fbbbbbbbbg fbbbbbbbbg gfbbbbbbbbg gbbbbbbbbf gbbbbbbbbf c bd gbbbbbbbbf eae bbbd gbbbbbbbbf caaae bbbbbdbbbbbbbbd caaaaaa bbbbbbbbbbbbbd aaaaaaa bbbbbbbbbbbbd aaaaaaaa bbbbbbbbbbbd eaaaaaaac fbbbbbbbbbg eaaaaaaac gfbbbbbbg caaaaaaac dbbbfg caaaaaaae gg aaaaaaae eaaaaaaa eaaaaaaac caaaaaaac ```  The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#c128bbff b,#f78f0dff c,#e3a1e1ff d,#fbd09aff e,#d266ceff f,#f8ae50ff g,#f7e0e9ff ``` ```image b bbbb bbbbbf bbbbbbf gbbbbbbf gbbbbbbf gbbbbbbd gbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbg dbbbbbbg fbbbbbbg fbbbbbb ee fbbbbbb gaaa fbbbbbb aaaa bbbbbbf gaaa bbbbbbf aaaa bbbbbbf aaag gbbbbbbf eaaa gbbbbbbd aaac gbbbbbbd caaa dbbbbbbd aaae dbbbbbbd caaa dbbbbbbg aaae dbbbbbbg f gaaa fbbbbbbg fbb aaaa fbbbbbb bbbbf aaag fbbbbbb bbbbf aaaa fbbbbbb bbbbf aaag bbbbbbf bbbbd eaaa bbbbbbf bbbbd aaa bbbbbbf gbbbbg aaac gbbbbbbf gbbbbg caaa gbbbbbbd dbbbb a aaa gbbbbbbfbbbb aaag aaae dbbbbbbbb aaaag gaaa dbbbbb eaaac aaag dbb gaaae eaaa aaaa aaa aaaa aaac aaaa caaa eaaag aaa caaac aaae gaaae gaaa aaaa aaag aaaa eaaa aaaag aaa eaaac aaac caaae caaa aaaa aaa aaaa aaae gaaaa gaaa eaaaag aaag aaaaag eaaa caaaaa aaa aaaaac aaac caaaaa caaa aaaaae aaa gaaaaag aaae eaaaae gaaa aaaaag aaag caaaaa eaae aaaaac aaa caaaaa aaac aaaaac caaa gaaaaa aaa eaaaae aaae gaaaaag gaaa caaaaa aaag aaaaac eaae gaaaaa aaa caaaae aaac aaaaag caaa gaaaaa aaa caaaae aaac aaaaag gaaagaaaaa aaaaaaae eaaaaag aaaa aae ```

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I have an image in front of me. I need to determine if there are any intersection segments. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#ab7a6dff b,#73f8cfff c,#b8fbe6ff d,#e3d4cfff e,#b1d7b1ff f,#c1a69aff g,#96c996ff ``` ```image aaf faaaaaf faaaaaafd daaaaaaad daaaaaaad dfaaaaaaf faaaaaaf faaaaaaad daaaaaaad daaaaaaad faaaaaaf faaaaaaf daaaaaaad daaaaaaad dfaaaaaaf faaaaaaf faaaaaafd daaaaaaad daaaaaaad dfaaaaa faaa daaf daaf faad aaa aaa aaa eaaaggggggggggggggg geaaaeeeeeeeeeeeeee gefaafeeeeeeeeeeeee geefaafeeeeeeeeeeee geeeaaaeeeeeeeeeeee geeeeaaaeeeeeeeeeee geeeeeaaaeeeeeeeeee geeeeeeaaaeeeeeeeee geeeeeeeaaaeeeeeeee geeeeeeegaaaeeeeeee geeeeeeeefaafeeeeee geeeeeeeeeaaaeeeeee geeeeeeeeeeaaaeeeee geeeeeeeeeeeaaaeeee geeeeeeeeeeeeaaaeee geeeeeeeeeeeeeafeee geeeeeeeeeeeeeeeeee geeeeeeeeeebbbbbeee geeeebbbbbbbbbbbeee cbbbbbbbbbbbbbeeeeee cbbbbbbbbbbbbeeeeeeeeeeee cbbbbbbbbbbbbeeeeeeeeeeeeeeeeee ccbbbbbbbbbbbcc egggggggggggggggggg cbbbbbbbbbbbbc ccbbbbbbbbbbbc cbbbbbbbbbbbbc ccbbbbbbbbbbbc cbbbbbbbbbbbcc cbbbbbbbbbbbc cbbbbbbcc bbc bbb cbb bbc bbb cbb bbc bbb cbb bbc bbb cbb bbc bbb cbb bbb bbb cbb bbb bbb bb bbb bbb bc ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#ab796cff b,#71f9cfff c,#9cfaddff d,#d8c1bcff e,#eee5e2ff f,#be988eff g,#cefceeff ``` ```image faaaaae faaaaae eaaaaaf eaaaaaf daaaaaf daaaaad daaaaad faaaaae faaaaae eaaaaaf eaaaaaf eaaaaaf daaaaad daaaaad faaaaae faaaaae faaaaae eaaaaaf eaaaaaf daaaaad daaaaad faaaaad faaaaae faaaaae eaaaaaf eaaaaaf daaaaaf daaaaad daaaaad faaaad faae efe ggccbc ggccbbbbbbbc ggccbbbbbbbbbbbbb ggccbbbbbbbbbbbbbbbbbbbg ggcbbbbbbbbbbbbbbbbbbbbbbccg ccbbbbbbbbbbbbbbbbbbbbbbcgg bbbbbbbbbbbbbbbbbbccgg bbbbbbbbbbbbccgg bbbbbbbccgg bccgg ```  My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ab796dff b,#72f9cfff c,#a4fadfff d,#d4bbb5ff e,#eadedbff f,#c09b91ff g,#d3fcf0ff ``` ```image aad faaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaaad faaaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaaad daaaaaafe daaaaaaae eaaaaaaad efaaaaaad faaaaaaf daaaaaafe daaaaaaae eaaaaaaad efaaaaa faaa eaaf daad faae aaa aaa aaa aaa eaaf eaaf daae faae aaa aaa aaa aaa eaaf daad faae aaa aaa aaa ae gcbbbb gcbbbbbbbbbb gcbbbbbbbbbbbc gcbbbbbbbbbbbcg gcbbbbbbbbbbbg gcbbbbbbbbbbbcg gbbbbbbbbbbbcg gcbbbbbbbbbbbcg cbbbbbbbbbbbcg gcbbbbbbbbbbbcg gcbbbbbbbbbbbcg cbbbbbbbbbbbcg cbbbbbbcg bbc bbb cbb bbc bbb cbb bbc bbb gbb bbc bbb gbb bbc bbb gbb bbc bbb gbbg bbb bbb gbbg bbb cbb bg ```

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I have an image in front of me. I need to determine if there are any intersection segments. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#a3b6bfff b,#3db0d1ff c,#c3d8e0ff d,#79c8d8ff e,#b1d7b2ff f,#eaf2f1ff g,#a1cfa2ff ``` ```image aaacf faaaaaaaaacf fcaaaaaaaaaaaccf fcaaaaaaaaaaaacf fcaaaaaaaaaaacf fcaaaaaaaaaaaacf fccaaaaaaaaaaacf fcaaaaaaaaaaaacf fccaaaaaaaaaaacf fcaaaaaaaaaaaccf fcaaaaaaaac fcaa aa cac faa aa aac faa aa aaf faa aa aaf caa aa aa cac aa aa cac aa aa aac faa aa aaf faa aa aaf caa aa aa cac aa aa cac aa aa aac faa aa fffffffaacfffffff fggggggggaaggggggg f fgeeeeeeeaaeeeeeee bb fgeeeeeeeaaeeeeeee cbbbd fgeeeeeeeeaaeeeeee dbbbd fgeeeeeeeeaaeeeeee dbbbc fgeeeeeeeeaaeeeeee bbbbc fgeeeeeeeeaaaeeeee fbbbbf fgeeeeeeeeeaaeeeee fbbbb fgeeeeeeeeeaaeeeee cbbbb fgeeeeeeeeeaaaeeee dbbbd fgeeeeeeeeeeaaeeee dbbbd fgeeeeeeeeeeaaeeee bbbbc fgeeeeeeeeeeaaeeee bbbbf fgeeeeeeeeeeeaaeee fbbbbf fgeeeeeeeeeebbdeee cbbbb fgeeeeeeedbbbbbeee cbbbd fgeeeedbbbbbdeeeee dbbbd fgeebbbbbbeeeeeeee dbbbc fdbbbbbgeeeeeeeeee bbbbc cbbbbbdggggggggggggg fbbbbf fbbbbbd fbbbb dbbbbbf cbbbb cbbbbbc dbbbd cbbbbbd dbbbd dbbbbbf bbbbc dbbbbbc fbbbbbbbbbd fbbbbdf cc ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#a2b5bfff b,#3cb0d1ff c,#cfe2e8ff d,#63bed8ff e,#bdcbd1ff f,#ecf2f5ff g,#97d4e6ff ``` ```image eaaae faaaa aaaaf eaaae caaaa aaaaf eaaac caaae faaaaf eaaac caaae faaaaf aaaac caaae faaaa aaaac eaaae faaaa aaaaf eaaae caaaa aaaaf eaaac caaae faaaaf eaaac caaae faaaaf adbc fgdbbbg cdbbbbbbd cgbbbbbbbbbbf fgdbbbbbbbbbdc cdbbbbbbbbbdgf cgbbbbbbbbbbgc fgdbbbbbbbbbdc fgdbbbbbbbbbdgf cgbbbbbbbbbbgc ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#a2b5bfff b,#3cb0d1ff c,#cfdde3ff d,#71c5ddff e,#bac8cfff f,#e6eff2ff g,#a4dae9ff ``` ```image aaecf faaaaaaaaacf feaaaaaaaaaaaec fceaaaaaaaaaaecf ceaaaaaaaaaaaec fceaaaaaaaaaaecf ceaaaaaaaaaaaef fcaaaaaaaaaaaecf fceaaaaaaaaaaaef feaaaaaaaaaaaecf fceaaaaaaae ceaa aa eac aa aa eac faa aa aaf faa aa aaf cae aa aa cae aa aa eac aa aa eac faa aa aaf faa aa aaf cae aa aa cae aa aa eac aa aa eac faa aa aaf faa f aa bb aaf gbbbd cae dbbbd aa dbbbg aa bbbbc cae fbbbbf aa fbbbb aa gbbbb eac gbbbd aa dbbbg aa bbbbg eac bbbbf faa fbbbbf fdbg cbbbb dbbbbb gbbbd gbbbbbg dbbbd fbbbbbd dbbbg dbbbbbf bbbbc gbbbbbg fbbbbf fbbbbbd cbbbb dbbbbbf gbbbd gbbbbbg gbbbd cbbbbbd dbbbg dbbbbdf bbbbg gbbbbbc bbbbbbbbbg fbbbbd cc ```

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I'm examining this image closely. My goal: find any and all intersections. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#886c96ff b,#ab9badff c,#6d505bff d,#e9e4e9ff e,#b1d7b1ff f,#95c795ff g,#cbc0ccff ``` ```image bcc ccccd gcccccb acccccca ccccb ccc bccccd ccc cccca acc dccccg gccd bcccc ccb b cccca cca bccg gccccd ccc ffcccccffffe acccc ccc eeeaccccceef ccccb acc eeeeecccccaf bccccd gccd eeeeeeecccccg cccca ccb eeeeeeeefcccccd dccccg cca eeeeeeeeeeaccccccccc ccc eeeeeeeeeeefccccccb ccc eeeeeeeeeeef dcccd acc eeeeeeeeeeef gccd eebaaeeeeeef ccb eeaaaeeeeeef cca eebaaeeeeeef ccc eeeaabeeeeef ccc eeeaaaeeeeef acc eeeaaaeeeeef gccd eeeaaaeeeeef ccb eeebaaeeeeef cca eeeeaabeeeef ccc eeeeaaaeeeef ccc eeeeaaaeeeef acc eeeeaaaeeeef gccd fffffaaffffe ccb aab ccc aaa cccd aaa dccc baa cccg bca daad ccc dccccd aab accg accccg aaa ccc gccccc aaa bccb cccccd baa ccc bccccb daag gcca dccccc aab ccc accccg aaa dccc gcccca aaa cccd cccccd gaa dccc bccccb daag cccg dccccc aab ccc accccg aaa accb gcccca aaa ccc cccccd gaa bccb bccccb aag cccccccc aaa gcccccg aaa ccca baa bd gaad aab aaa aaa baa daad aab aaa aaa baa daag aab aaa aaa gaa daag aaagdd aaaaaaaaaaaaabbgd baaaaaaaaaaaaaaaaaaaaaaaabggd dggbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbggd dggbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbgdd dgbbaaaaaaaaaaaaaaaaaaaaaaaaaaaabbgd ddgbbaaaaaaaaaaaaaaaaaaaaaaaaaaa dggbbaaaaaaaaaaaaaaa dggbaaaa ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#876b97ff b,#b5a5b9ff c,#6e515cff d,#efecf0ff e,#a18da5ff f,#ddd6dfff g,#c8bcccff ``` ```image eccccccccced bccccccccccb deccccccccccg facccccccccaf gcccccccccced bcccccccccc decccccccc facccccc gccccc bccc dec f df dgeaaad daaaaag aaaaab eaaaae gaaaaa faaaaaf daaaaag aaaaab baaaae gaaaaad faaaaaf daaaaag eaaaab baaaaa gaaaaad faaaaaf aaaaag eaaaae baaaaa gaaaaad daaaaaf aaaaab eaaaae baaaaa ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#876b98ff b,#b4a4b7ff c,#6d505bff d,#e9e5eaff e,#9e8a9fff f,#876f78ff g,#cdc2ceff ``` ```image ecc ccccd gcccccb fccccccf ccccb ccc bccccd ccc ccccf ecc dccccg gccd ecccc ccb e cccce ccf bccg gccccd ccc cccccd fcccc ccc eccccf ccccb ecc fcccce bccccd gccd dcccccg ccccf ccb gcccccd dccccg ccf eccccccccc ccc fccccce ccc dcccd ecc gccd gaa ccb aaa ccf gaa ccc daag ccc aae ecc aaa gccd eaa ccb gaad ccf aag ccc aaa ccc aaa ecc eaa gccd gaad ccb aab ccc aaa cccd aaa dccc baa fccg bcf daad ccc dccccd aab fccb fccccb aaa ccc gccccf aaa ecce cccccd baa ccc bcccce daag gccf dccccc aae ccc fccccg aaa dccc gccccf aaa cccd cccccd baa dccc ecccce daag fccg dccccc aae ccc fccccg aaa fccb gccccf eaa ccc cccccd gaa bcce eccccb aag cccccccc aaa gcccccg aaa cccf eaa ed gaad aab aaa aaa baa gaad aab aaa aaa baa daag aae aaa aaa baa daag aaagdd aaaaaaaaaaaaaebgd baaaaaaaaaaaaaaaaaaaaaaaebbgd dggbeaaaaaaaaaaaaaaaaaaaaaaaaaaaebggd dgbbeaaaaaaaaaaaaaaaaaaaaaaaaaaaebgdd dgbeaaaaaaaaaaaaaaaaaaaaaaaaaaaaebgd ddgbeaaaaaaaaaaaaaaaaaaaaaaaaaaa dggbeaaaaaaaaaaaaaaa dgbbeaaa ```

[ "" ]

I'm optimistic that I'll find some intersections in this image. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#e79e59ff b,#b0b6d9ff c,#efe3daff d,#b2d7b1ff e,#e9bf91ff f,#747ebdff g,#96c996ff ``` ```image bbfffff cbffffffffffffffc bffffffffffbbbfffffc bffffbc bfffffb cfffffb cffffff ffffff bfffffc bfffffb bfffffb cfffffb ffffff ffffff bfffffc bfffffb cfffffb cfffffb ffffff bfffffc bfffffc bfffffb cfffffb ffffff ffffff bfffffc bfffffb bffffffggggggggggggg cffffffddddddddddd ffffffddddddddd gdffffffddddddd gdddffffffddddd gdddddgfffffddd gdddddddafffddd gdddddddaaadddd gdddddddaaadddd gddddddaaaadddd gddddddaaaadddd gddddddaaaadddd gdddddeaaaadddd gdddddaaaaadddd gdddddaaaaadddd gddddeaaeaadddd gddddaaaeaadddd gddddaaeeaadddd gddddaadeaadddd gdddaaadeaadddd gdddaaadeaadddd gdddaadddaadddd gddeaadddaadddd cae dggaaagggaagggg aaae aae caa aaac caa aa aaac eaa aa aaa aaa aa aaa aac aa caaa eaa aa caaa aaa aa eaaa aae aa eaae caa aac aaae eaa aac aaac aae aac aaac aac aac aaa eaa aac aaa cceaaa aac caaa ccceeeaaaaaaaaaaaaaaae aae caaa cceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aae eaaa cceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeecc aae eaaaaaaaaaaaaaaaaaaaaaaaaaaaeeecc aae aaaaaaaaaaaeeeccc aae aae aae aae aaa aaa aaa aaa aaa aaa eaa eaa eaa ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#e79e58ff b,#9da4d1ff c,#f4d3b3ff d,#c8cbe4ff e,#eebc8cff f,#747ebcff g,#f6e8dbff ``` ```image ffb ffffbg ffffffbd ffffffffbd fffffffffffd dfffffffffffd dbffffffffffbg dbffffffffffbg gbffffffffffbd bffffffffffbd dffffffffffb dffffffffd gaffffff caaafffd eaaaaab aaaaaa gaaaaaa eaaaaaa aaaaaaa gaaaaaaa caaaaaaa eaaaaaaa aaaaaaaag gaaaaaaaag eaaaaaaaag aaaaaaaaag gaaaaaaaaag caaaaaaaaag eaaaaaaaaag aaaaaeaaaag caaaaeeaaaag eaaaaceaaaac aaaaageaaaac gaaaaa caaaac caaaae caaaac eaaaac caaaac aaaaa caaaac caaaae caaaac eaaaac caaaac aaaaag caaaac gaaaaa caaaae caaaae caaaae eaaaag gaaaae gaaaaa gaaaae caaaae gaaaae eaaaac gaaaae ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#e79e59ff b,#9ba2cfff c,#f4d5b8ff d,#c4c8e3ff e,#eeb988ff f,#747ebdff g,#f4ece7ff ``` ```image dbfffff dbffffffffffffffg bffffffffffbdbfffffd dfffbdg dfffffd dfffffb gfffffb ffffff bfffffg dfffffd dfffffd gfffffb gffffff bfffffg bfffffd dfffffd dfffffb gfffffb ffffff bfffffg bfffffd dfffffd dfffffb gfffffb ffffffg bfffffg dfffffd dfffffd gfffffb ffffff bfffffg bfffffd dfffff afff aaag caaa aaaa aaaa aaaa eaaaa aaaaa aaaaa caaeaa aaaeaa aaecaa gaa caa eaa caa aaa caa aac caa caa gaa gae aaa gaa aaac aae gaa aaac gaa gaa aaag eaa aa aaa aae aa gaaa aag aa gaaa caa aa caaa aaa aa eaaa aac aag eaae gaa aag aaae eaa aag aaac aae aag aaag aag aac aaag caa aac aaa ggccaaa aac gaaa gccceeaaaaaaaaaaaaaaac aac caaa gcceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aac caaa ggcceeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccgg aac eaaaaaaaaaaaaaaaaaaaaaaaaaaeeeccg aae aaaaaaaaaaaeecccg aae aae aae aae aae aaa aaa aaa aaa aaa eaa eaa eaa ```

[ "" ]

This image might have some surprises. Let's look for intersections carefully. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#196495ff b,#98aa0bff c,#adc8d8ff d,#bfcd74ff e,#5a90b1ff f,#eaf1e8ff g,#aed5adff ``` ```image f bbbf fbbbbb dbbbbbbb bbbbbfbbbb fbbbbb fbbbd dbbbbd dbbbf bbbbbf bbbb fffffffffffffff fbbbbb bbbb ggggggggggggggggdbbbbd bbbb gggggggggggggggbbbbbf fbbbd ggggggggggggggbbbbb dbbbf ggggggggggggdbbbbd bbbb gggggggggggbbbbbf bbbb ggggggggggbbbbbgf bbbb ggggggggdbbbbdggf fbbbd gggggggbbbbbggggf dbbbf ggggggbbbbbgggggf bbbb ggggdbbbbdggggggf bbbb gggbbbbbggggggggf bbbb ggbbbbbgggggggggf fbbbd dbbbbdggggggaaggf dbbbf bbbbbgggggggaaaegf bbbb fbbbbbgggggggaaaaagf bbbb dbbbbdgggggggaaaaaagf bbbb bbbbbggggggggaaaaaaagf fbbbd fbbbbb gggggggeaaaeaaagf dbbbf bbbbbdddgff dbbbbd fffffcaaaefaaac bbbb bbbbbbbbbbbbbbbbbbbbbf faaae eaac bbbb bbbbbbbbbbbbbbbbbbbb aaaa caae bbbb ffgdddbbbbbbbbbd aaaa aaa fbbbd aaaa aaa dbbbf aaaa aaa bbbb eaaaf aaa bbbb eaaac eaac bbbb caaae caae fbbbd faaae faaa dbb faaaa aaa g aaaa aaa aaaa aaa aaaa aaaf eaaaf eaac eaaac caaac caaae aaaae faaae aaaaa faaaa eaaaac aaaa faaaae aaaa aaaaa aaaa eaaaac aaaaf faaaae eaaac aaaaa caaac eaaaac caaae faaaae faaaa aaaaa aaaa eaaaac aaaa caaaae aaaa aaaaa aaaaf eaaaac eaaac caaaae caaac aaaaa caaae eaaaac faaaa caaaae aaaa aaaaf aaaa eaaa aaa aaaa ef aaac caaaf aaaa aaae faaac eaaa aaaa aaae caaaf eaaa aaaa aaae caaaf aaaa aaaa faaac eaa c ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#196495ff b,#97a909ff c,#a0bfd3ff d,#cbd384ff e,#5f94b5ff f,#e1e7c4ff g,#b2bf49ff ``` ```image fb dbb gbbb fbbbbb dbbbbbb gbbbbbbb fbbbbbbbbb dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg dbbbbbbbbbd gbbbbbbbbbf fbbbbbbbbbg cec dbbbbbbbbbd eaaaa bbbbbbbbbf eaaaaac bbbbbbbg eaaaaaae bbbbbbd caaaaaaae bbbbbf caaaaaaaaa bbbg faaaaaaaaaa bbd faaaaaaaaaaac bf aaaaaaaaaaaac eaaaaaaaaaaaae eaaaaaaaeaaaaae ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#186495ff b,#98aa0bff c,#b3ccdcff d,#c9d281ff e,#4481a9ff f,#e8eee3ff g,#76a3c0ff ``` ```image f bbbf bbbbb dbbbbbbb bbbbbfbbbb bbbbb fbbbd dbbbbd dbbbf bbbbbf bbbb fbbbbb bbbb dbbbbd bbbb bbbbbf fbbbd fbbbbb dbbbf dbbbbd bbbb bbbbbf bbbb fbbbbb bbbb dbbbbd fbbbd bbbbbf dbbbf fbbbbb bbbb dbbbbd bbbb bbbbbf bbbb fbbbbb fbbbd dbbbbd aa dbbbf bbbbbf aaag bbbb fbbbbb aaaaa bbbb dbbbbd aaaaaa bbbb bbbbbf eaaaaaa fbbbd fbbbbb gaaacaaa dbbbf bbbbbddddff dbbbbd caaag eaaf bbbb bbbbbbbbbbbbbbbbbbbbbf faaae gaag bbbb bbbbbbbbbbbbbbbbbbbb aaaa caae bbbb ffddddbbbbbbbbbd aaaa aaa fbbbd aaaa aaa dbbbf aaaa aaa bbbb eaaaf aaa bbbb gaaac eaac bbbb caaag caag fbbbd faaae faaa dbb aaaa aaa d aaaa aaa aaaa aaa aaaa eaaf eaaaf gaag gaaac caaac caaag aaaae faaae aaaaa faaaa gaaaac aaaa faaaae aaaa aaaaa aaaa gaaaac eaaaf faaaae gaaac aaaaa caaag gaaaac caaae faaaae faaae aaaaa aaaa gaaaac aaaa caaaae aaaa aaaaa eaaaf eaaaac eaaac caaaae gaaag aaaaa caaae eaaaac faaae caaaag aaaa aaaaf aaaa eaaa aaa aaaa ef aaag caaaf aaaa aaae faaac gaaa aaaa aaae caaaf eaaa aaaa aaag caaaf eaaa aaae faaac gae c ```

[ "" ]

Let's examine this image for potential line intersections. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#aa1af6ff b,#bc5ff6ff c,#e8ccfbff d,#8335ebff e,#aed5aeff f,#d298f9ff g,#a594c8ff ``` ```image eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eegeeeeeeeeeeeee eeddgeeeeeeeeeee eeeeddgeeeeeeeee eeeeeeddeeeeeeee eeeeaeegddeeeeee eeeeaeeeeddgeeee eeegaeeeeeeddgee eeegaeeeeeeeedde eeegaeeeeeeeeegdd eeegaeeeeeeeeeeebdb eeegaeeeeeeeeeee ddf c eeegaeeeeeeeeeee ddc bdd eeegaeeeeeeeeeee cdd cddb fac fdb bddc faf bdf cddb baf ddc bddc bab cdd fddb bab fdb bddc bba bdf fddb bba ddc dddc bfa cdd fddf bfa fdd dddc aca bdb fddf aca ddf cddd aca ddcfddf aca cdd aca aca a ac a ac a bf a bb a fb a fa a ca a a a a a a a a a a a a a a a a a ac a ac a bf a bf a fb a fb a ca a ca a a ca a ca a ca a ca a ca a ca a fb a a fb ac af fb ac ab fb bf ba fb bb fa bb fb ca bb fa ac bf ca af bf a ab bf a ba bf a ca bf a a ac aaabf ac ac fbaaaabc ab ac cbaaaabf ba ac fbaaaabc fa ac cbaaaabf ca ac cfaaaaafc fac a cbaaaabf baac a cfaaaaafc caab a fbaaaabc baac cbaaab ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#a918f6ff b,#c159f8ff c,#ddb8faff d,#8232ecff e,#9f62f0ff f,#c795f6ff g,#ecd9fcff ``` ```image fg cddeg gedddf cddddc fdddeg fdddeg gedddf bb cedddf gaag fdddec gaag fdddeg gaag gedddf gaac cedddf gaac cdddec gaaf fdddeg caaf geddd caaf ged caab c caab caab caab caaa caaa faaa faaa faaag ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#a918f6ff b,#be6cf6ff c,#e0b8faff d,#8233ecff e,#b444f6ff f,#cf93f8ff g,#f0defcff ``` ```image f bdf ddc gdd ga fde ga bdb ga ddc ca gddg ca cdd ca bdb ca ddc g fa gddg bdd fag cdd cddb fac fdb bddc faf edf cddb baf ddg bddc bab gdd cddb bae fde eddg bea bdf fddb eba ddc eddg efa gddg fddf eca cdd gdddg eca bdb fddf aca ddc gdddg aca gddgfddf aga cde aga agag agag a ec a ef a bb a fb a ce a ca a ga a a a a a a a a a a a a a a a ag a ac a ec a bf a fb a fe a ca a ga ga a ga a ga a ga a ca a ca a ce a ce a a fe ag ac fe ec ab fb ef ea fb bb fa bb fb ga bb ce ag bf ca af bf ga ee ef a ba ef a ca ec a ag ec aaaefg ac ac feaaaabc ab ac cbaaaaef ee ag gfeaaaabg fa ag cbaaaaec ga ag gfeaaaafg cag ag cbaaaabc baag a gfeaaaefg caab a ceaaaabc baac gbaaae ```

[ "" ]

I'm examining this image closely. My goal: find any and all intersections. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0e39f7ff b,#bf868dff c,#849cf4ff d,#dec1c5ff e,#4266f4ff f,#c8d2fcff g,#acd4acff ``` ```image bd bd bb bb bb bbd db dbbbd db bbbbd b dbbbb bd bbbbd bd dbbbb bb dbbbd bb dbbbb bb dbbbd db bbbb db dbbbd b bbbbd bd dbbbb bd bbbbd bb dbbbb bb bbbbd e bb dbbbb eae db dbbbd cae db bbbb caa b dbbbd faa bd bbbbd faa bd dbbbd aa bb bbbbd aa bb dbbbb aa bb bbbbd aaf gggggbbggggggggg dbbbb aaf ggggggbgggggggggbbbbd eac ggggggbgggggggbbbb eac ggegggbggggbbbbb cae ggaaggbbgbbbbggg cae gggaaebbbbbggggg faa ggggeabbgggggggg faa gggggcaacggggggg aa gggggggaaegggggg aa ggggggggeaeggggg aa gggggggggeaegggg aa ggggggggggaacggg aaf gggggggggggaacgg aaf ggggggggggggaagg eac gggggggggggggaag eae ggggggggggggggaa cae gggggggggggggggaa caa ggggggggggggggggaa faa faa faa faa aa faa aa cae aa cae caf eae aa eac aa aac ac aaf faf aaf ca aa aa aa aa aa ac aa fa faa ca faa aa faa ae cae ac cae fa eae ea eac aa aac ae aaf ac aaf fa aa ea aa aa aa ae aa af faa ca faa ea faaaa caae caf ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#0e39f7ff b,#bf858cff c,#a3b3fbff d,#ddddf3ff e,#3c5cf3ff f,#6682faff g,#dababeff ``` ```image bbbg gbbg gbbg gbbb dbbb g bbb dgbb bbbd gbbbbb ec bbbg dgbbbbbbb faaf bbbg gbbbbbbbbg daaaaed gbbg dgbbbbbbbgd deaaaac gbbbbbbbbbbbg faaaafgbbbbbbbbgd caaaaebbbbbbg deaaabbbgd faaaeed caaaaac deaaaaf caaaae deaaae faaaf eaaaf eaaaf deaaac deaaac daaaac daaaac daaaad caaaad caaaad caaae faaa faa fa f ```  It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#0e3af8ff b,#be858bff c,#899ffbff d,#e8d4d6ff e,#4a6af9ff f,#c8d2fcff g,#d4adb2ff ``` ```image bd bg bb bb bb bbd gb gbbbg db bbbbd b dbbbg bd gbbbd bg dbbbb bb gbbbg bb dbbbb bb gbbbg gb dbbbbd db gbbbg b bbbbd bd dbbbg bg bbbbd bb dbbbb bb gbbbd e bb dbbbb eae gb gbbbg cae db dbbbbd caa b gbbbg faa bd bbbbd faa bg gbbbg aa bb bbbbd aa bb dbbbg aa bb gbbbd aaf gb dbbbb aaf db gbbbg aac b dbbbb eac e bd gbbbg eae faaf bgdbbbbd cae aaebbbbg faa eabbd faa faac aa aae aa eae aa eac aa aac aaf aaf aaf aaf eac aa eae aa cae aa caa aa faa faa faa faa aa faa aa caa aa cae caf eae aa eac aa aac ac aaf faf aaf ca aa aa aa aa aa ac aa fa faa ea faa aa faa ae caa ac cae fa eae ea eac aa aac ae aaf ac aaf fa aa ea aa aa aa ae aa af faa ca faa ea faaaa caae caf ```

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I'm optimistic that I'll find some intersections in this image. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#54a5a5ff b,#492411ff c,#d0e0dfff d,#a49389ff e,#725b4dff f,#8ec4a6ff g,#b0d5b3ff ``` ```image ccc aaa aaa aaa aaa aaac aaac faac faac faac gaag gaag caaf caaf ca caaf faaa caaa aaaaaf aaa aaaaaaa aaa aaaafaaaa aaa caaaac aaac aaa gaaaa caaa aaa faaaa aaaa aaa aaaaa aaa gfaaafffffffffff aaaaf faaa fgaaaggggggggggg aaaac aaag fgaaaggggggggggg caaaac caaa fgaaaggggggggggg faaaa aaaa fgaaaggggggggggg aaaaa aaac fgaaaggggggggggg aaaaf faaa fgaaaggggggggggg aaaag aaaf fgaaaggggggggggg caaaac caaa fgaaaggggggggggg gaaaa aaaa fgaaaggggggggggg aaaaa aaac fgaaaggggggggggg aaaaa gaaa fgeeaaaafggggggg aaaaf aaaf fbbbaaaaaaaaaaff caaaac aaa fbbbbaaaaaaaaaaaaaaagc caaaa aaaa ffbbbggffaaaaaaaaaaaaaaaaafc faaaa aaag fgbbbbgggggggffaaaaaaaaaaaaaaaaafcaaaaa caaa fggbbbdggggggggg cgaaaaaaaaaaaaaaaaf aaaf fggdbbbggggggggg cgaaaaaaaaag aaa gfffbbbbffffffff cgfac aaa bbbc aaa ebbb faac bbbd caaf gbbb aaa bbbb aaa bbbc aaa ebbb faac bbbd caaa gbbb aaa bbbb aaa bbbc aaa ebbb faag bbbe caaa cbbb aaa bbbb aaa bbbg aaac dbbb bbbe cbbb bbbb bbbg dbbb bbbe c cbbb dbbb ebbb bbbbbbg bbbd dbbbbbbbbe dbbb bbbbbd bbbbb bbbe dbbbbb ebbbbc bbbc bbbbbd gbbbbe ebbb dbbbbb bbbbb bbbd bbbbbd ebbbbc gbbb dbbbbb dbbbbd bbbb bbbbbd bbbbe bbbc dbbbbb bbb ebbb bbbbbd d bbbd dbbbbb gbbb bbbbbd bbbbbbbbbbbeeddc dbbbbb bbbbbbbbbbbbbbbbbbbbbbbd cebbbbbbbbbbbbbbbbbbbb cddeebbbbbd ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#53a5a5ff b,#492411ff c,#bad6d6ff d,#958379ff e,#5e574aff f,#86bfbfff g,#e5eeedff ``` ```image faaaaac faaaaac faaaaac faaaaac faaaaac caaaaac caaaaaf caaaaaf caaaaaf caaaaaf caaaaaf caaaaaf gaaaaaf gaaaaaf gaaaaaa gaaaaaa gaaaaaa gaaaaaa aaaaaa aaaaaa aaaaaa aaaaaag aaaaaaccg ebeaaaaaaaffccg cebbbaaaaaaaaaaaaaffccg gdbbbbbeaaaaaaaaaaaaaaaaaaafcc ebbbbbbaaaaaaaaaaaaaaaaaaaaaa cbbbbbbbaaaaaaaaaaaaaaaaaaaaa dbbbbbbdffaaaaaaaaaaaaaaaaaa gbbbbbbbg gccffaaaaaaaaaaaa dbbbbbbd gccffaaaaaa ebbbbbbc ggcff cbbbbbbe dbbbbbbd gbbbbbbbg dbbbbbbd ```  The lines within area A do not intersect. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#53a5a5ff b,#492311ff c,#b9d2d1ff d,#a9978eff e,#71594bff f,#7fbbbbff g,#e1ebeaff ``` ```image ggc aaa aaa aaa aaa aaag faag faag faac faac caac caaf caaf caaf gfg gaaf faaa gaaa faaaaf gaaa aaaaaaa aaa aaaaffaaa aaa gaaaag aaac aaa caaaag caaa aaa faaaa aaaf aaa aaaaa aaag aaa aaaaf faaa aaa gaaaac aaac aaa caaaag caaa aaa faaaa aaaa aaa aaaaa aaag aaa aaaaf faaa aaa aaaac aaaf aaa gaaaag gaaa aaa caaaa aaaa aaa faaaa aaac aaag aaaaa caaa eeaaafcg aaaaf aaaf bbbaaaaaaaaafcg gaaaac gaaa bbbbaaaaaaaaaaaaaaacg caaaag faaa gbbbg cfaaaaaaaaaaaaaaaaafg faaaa aaac ebbb gfaaaaaaaaaaaaaaaaafcaaaaa caaa bbbd gcaaaaaaaaaaaaaaaaf aaaf dbbb gcfaaaaaaaac aaa bbbe gcfag aaa gbbbg aaa ebbb faac bbbd caaf dbbb aaa bbbb aaa bbbg aaa ebbb faac bbbd caaf cbbb aaa bbbb aaa bbbc aaag ebbb faac bbbe gaaa cbbb aaa bbbb aaa bbbc aaag dbbb g bbbe gbbb bbbb bbbd dbbb bbbe c gbbbg dbbb ebbb bbbbbbc bbbd dbbbbbbbbe dbbb bbbbbd bbbbb bbbe dbbbbb ebbbbc gbbbg bbbbbd cbbbbe ebbb dbbbbb bbbbb bbbd bbbbbd ebbbbg dbbb dbbbbb dbbbbd bbbb bbbbbd gbbbbe bbbg dbbbbb bbb ebbb bbbbbd d bbbd dbbbbb cbbbg bbbbbd bbbbbbbbbbbeeddcg dbbbbb bbbbbbbbbbbbbbbbbbbbbbbd cebbbbbbbbbbbbbbbbbbbb gcddeebbbbbd ```

[ "" ]

I can confidently say that no lines intersect in this image.

0

```palette Key,Color ,#fefefeff a,#354dabff b,#6de9a8ff c,#a3aed9ff d,#1edd78ff e,#caebe2ff f,#0c299aff g,#697bc0ff ``` ```image a ffa effa effa cffg cffg cffc gffc gffc gffe affe aff fff ffa effa effg cffg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe aff ffa effg cffc gffe a e dd dd dde bdb edd dd dd bde bdb edd dd dde bdb edd dd dde bde bdb edd dd dde bdb edd dd dde bde bdb edd eeeebbbbbdddd dd eeeebbbbbddddddddddddddddddddddddddddbbb ddddddddddddddddbbbbbeeee ```

[ "" ]

Based on a first glance, I suspect there could be intersection regions here. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#41279dff b,#aa97daff c,#5311d2ff d,#d8d0eeff e,#7a5dc5ff f,#b1d7b1ff g,#95c896ff ``` ```image a aad aaae baeaa aa aa aa ba eab ab ad daa aa dab aa aa aa aad ea aa eae dab bad daa aa aa aa aa ae aad ea ea dae dad aa d ae dab aa aa aa aa bad bad ae aa aa ae eaa ea baad aa aae dab aaa aa eaa aa daab bad aae aa aaa ae eaad ea daab aa aaa dab aaa aa baad aa daae bab aaa aa eaa aa baad bad aae aa aaa ae eaa ea daab aa aae dab aaa aa eaad aa daab bad aae aa aaa ae baad ea daab aa aaa dab eaa aa baad aa aae bad aaa aa b ggaaagaagggggggf dcd cc fffgaaaffffffffg dccd cc fffffaaffffffffg bcc cc fffffffffffffffg ecc cc fffffffffffffffg ccc ce fffffffffffffffg cce cc fffffffffffffffgbccb dce ffffffffffffbcccccb cc fffffffffeccccce dce fffffbccccccbffg cc ffeccccceffffffg dce decccccbfffffffffg cc bcccccefffffffffffffg dcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg dcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg bcb decccccb fffffffffffffffg cc bccccced fffffffffffffffg bcb ecccccb gggggggggggggggf cc bccccced bcd ecccccb cc bccccced bcecccccb ccced ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#40259cff b,#a485e3ff c,#5311d2ff d,#dcd0f4ff e,#725eb6ff f,#bca7e8ff g,#8050ddff ``` ```image eaaaae aaae baaaaaaaaf faaaaaaa deaaaae eaaad feb dfg dbgccc dfgccccccc dbgcccccccccc dfgccccccccccgbd dbgccccccccccbf fgccccccccccgbd dbgccccccccccgf fgccccccccccgbd ccccccccccgf ccccccgbd cccgf bd ```  Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#40269cff b,#a089d8ff c,#5310d2ff d,#e4def3ff e,#6f5bb4ff f,#c2b4e4ff g,#7f4eddff ``` ```image da aad aaae faeaa aa aa aa ba eab ab ad faa aa faf aa aa aa aad ba aa eae daf bad daa ae aa aa aa ae aaf ea ea fae faf aa d ae fab aa aa aa aa fad bad ab aa aa ae eaa ea faaf aa daae dab aaa aa eaad aa faaf faf aae aa aaa ae baad ead daab aa aae dab eaa ea baad aa daab faf aaa aa eaa ae faaf bad daae aa aaa dae eaad ea faaf aa aae faf aaa aa baad aa daab bad aae aa eaa ae baad ea daab aa aaa dab eaa aa faaf aa daae baf aaa aa b eaadae dcf cc faaa fccd cc aa bcc cg gcc cc ccc cg ccg cc bccb dcg fgccccf cc bcccccb dcg dgcccccf cc bcccccg dcg dgcccccf cc bcccccgd fcb dgcccccf cc bcccccgd fcb dgcccccf cc bcccccgd fcb dgcccccb cc fcccccgd bcf dgcccccb cc fcccccgd bcf dgcccccb cc fcccccgd bcgcccccb cccgf ```

[ "" ]

I'm curious to see if this image contains any intersection points. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#9e81afff b,#37476fff c,#b6acc5ff d,#dbd3e2ff e,#b1d7b1ff f,#94c497ff g,#708a8eff ``` ```image aa daaa aaaad aaaaa daadaac aaa aaa aac aaa caa aaad aaa aaa aaa aaa aac daac caaad caa aaa aaaaa aaa aaa caaaaa aac aaa aaadaad caa aaa daad aaa aaa caad aaa aaa aad aaa daad daad caa daac aaa aaa aaa aaa aac aaa aad aaa aaa daad caa caad aac aaa aaa aaa aaa aaa aad daac aaa daad caa aaa caa aaa aaa aaa aaa aaa aad caad caad daad aaa aaa aaa aaa daaa daac daad aaa aaa aaa aaa daad caad aaa daad aaa aaa caad aaa aaa aaa aaa aac daad caad daac aaa aaa aaa effffffffffaaafff dac aaa aaa feeeeeeeeeeeaceee daa caad feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caad feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caac feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeeeeee aaa aaa feeeeeeeeeeeeeeee daa caac feeeeeeeeeeeeeeee aac aaa feeeeeeeeeeeffeee aaa aaa feeeeeeeeefbbbeee daa caac feeeeeeefbbbbbeee aac aaa feeeeefbbbbbgeeee aaa aaa feeefbbbbbgeeeeee daa caac fefbbbbbgeeeeeeee aac aaa gbbbbbgeeeeeeeeee aaa aaa cbbbbbgeeeeeeeeeeee daa caac cbbbbbgeeeeeeeeeeeeee aac aaa cbbbbbgeeeeeeeeeeeeeeee aaa aaa cbbbbbc feeeeeeeeeeeeeeee caa caac cbbbbbc feeeeeeeeeeeeeeee feeaaaeeaaaeeeef cbbbbbc feeeeeeeeeeeeeeee feeaaaeaaaeeeeee cbbbbbc feeeeeeeeeeeeeeee feecaacaaaeeeeee cbbbbbc feeeeeeeeeeeeeeee feeeaaaaaeeeeeee cbbbbbc feeeeeeeeeeeeeeee feeeaaaaeeeeeeee cbbbbbc feeeeeeeeeeeeeeee feeecaaaeeeeeeee cbbbbbc feeeeaaeeeeeeeee cbbbbbc feeeeeeeeeeeeeee cbbbbbc feeeeeeeeeeeeeeecbbbbbc feeeeeeeeeeeeegbbbbbc feeeeeeeeeeegbbbbbc feeeeeeeeegbbbbbc feeeeeeegbbbbbfe feeeeegbbbbbfeee feeegbbbbbfeeeee fegbbbbbfeeeeeee gbbbbbfeeeeeeeee abbbbbfeeeeeeeeeee abbbbbfeeeeeeeeeeeee abbbbbgeeeeeeeeeeeeeee abbbbbd feeeeeeeeeeeeeee abbbbbgad abbbbbd feeeeeeeeeeeeeee gbbbbbbbbbbbbbbbbbd feeeeeeeeeeeeeee dcgbbbbbbbbbbbbd feeeeeeeeeeeeeee dcgbbd feeeeeeeeeeeeeee feeeeeeeeeeeeeee feeeeeeeeeeeeeee ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#9e80afff b,#38486fff c,#c3c0d2ff d,#dbd0e1ff e,#a39fb9ff f,#f0eef3ff g,#5c698aff ``` ```image faaaaad faaaaaaf eaaaac eaaaaad caaaaa caaaaae faaaaad faaaaaaf eaaaac eaaaaad caaaaacaaaaae faaaaaaaaaaaf eaaaaaaaaad caaaaaaaae faaaaaaaaf eaaaaaad caaaaae faaaaaf caaad fdf fe febb febbbb febbbbbb febbbbbbbb febbbbbbbbbb febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc febbbbbbbbbbgc ebbbbbbbbbbgc bbbbbbbbbgc bbbbbbbgc bbbbbgc bbbgc bgc c ```  I don't observe any intersections inside area A. Let's continue our search in the next region. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#9c82aeff b,#37476fff c,#c3c3d2ff d,#425176ff e,#9d9fb7ff f,#efeff3ff g,#5e6b8bff ``` ```image eaaaaaf faaaaae caaaaef faaac ccf cgf cgbba cgbbbbbf cgbbbbbbba cgbbbbbbbbbdf cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef cgbbbbbbbbbdef bbbbbbbbbdef bbbbbbbdef bbbbbdef bbbdef bdef ef ```  The lines within area B do not intersect. Answer: A: 0; B: 0; 0 + 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#9e80afff b,#37476fff c,#bdb4cbff d,#d2cadbff e,#a79fbbff f,#ede8f0ff g,#667291ff ``` ```image aa daaa aaaaf aaaaa daadaac aaa aaa aac faaa f caa eaaf eaa aaa aaa aaa aac daac eaaad caa aaa aaaaa aaa faae caaaaa aac aaaf aaafaaf caa aaa daad aaa aaa caad aaa eaa aad aaa faad faaf caa faae aaa aaa aaa aaa faac eaa aad aaa aaa faaf eaa caad aae aaa aaa aaa eaa aaa faad daae aaa faaf eaa aaa caa aaa aaa aaa aaa aaa faad eaaf caaf faaf eaa aaa aaa aae faaa daac daad aaa aaa aaa aaa faaf eaad aaa faad aae faaa eaaf aaa aaa aaa aaa faac daaf eaad daac aaa aae faaa aaa fae aaa aaa fad daaf eaad aae faaa aaa aaa daaf eaad aae faaa aaa aaa daaf caac aae faaa aaa aaa daaf caac aae aaa df aaa aaa dbbb daaf caac dbbbbbf aae aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaa cbbbbbe daa caac cbbbbbe aac aaa cbbbbbe aaa aaaf cbbbbbe daacaac cbbbbbe aaaaa ebbbbbe aaaaf ebbbbbc daae ebbbbbc aa ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbc ebbbbbd abbbbbd abbbbbd f abbbbbd abbbbbged abbbbbd gbbbbbbbbbbbbbbbbbd degbbbbbbbbbbbbd degbbd ```

[ "" ]

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#948294ff b,#db2e4bff c,#eea1afff d,#ecd8ddff e,#c0b6c0ff f,#e4697eff g,#afd5afff ``` ```image bbbbbbbbffcdd bbbbbbbbbbbbbbbbbbbbbffccd dbbcffbbbbbbbbbbbbbbbbbbbbbbbbbc cbb ddcffbbbbbbbbbbbbbbbbc fbb dcbbbbbbbbbbfd bbb cfbbbbbbbbbfd bbb dfbbbbbbbbbbc bbf dfbbbbbbbbbbc bbf cbbbbbbbbbbfd bbc cfbbbbbbbbbfd bbd dfbbbbbbbbbbc dbb dfbbbbbbbbbbc cbb cbbbbbbbbbbfd fbb cfbbbbbbbbb bbb dfbbbbb bbb dff bbf bbc bbd dbb cbb fbb fbb bbb bbb bbf bbc a bbd aaa dbb aaa cbb aaa fbb daae bbb aaa bbb eaae bbf aaa bbc eaad bbc aaa bbd aaa dbb aaa cbb aaa fbb daae bbb aaa bbb eaad bbf aaa bbc aaa bbd aaa dbb aaa cbb daae ggfbbggggggg aaa ggbbbggggggg eaad gggggggggggg aaa gggggggggggg aaad gggggggggggg aaa gggggggggggg aaa gggggggggggg daae gggggggggggg aaa ggaaaggggggg eaae ggaaaagggggg aaa gggaaagggggg eaad ggggaaaggggg aaa gggggaaagggg aaa gggggaaaaggg aaa ggggggaaaggg aaa gggggggaaagg daae ggggggggaaag aaa ggggggggaaaa eaad gggggggggaaae aaa ggggggggggaaa aaa daaa aaa eaaa aaa aaae daae aaa aaa aaa aaaad eaaa daaaaaa aaae eaaaaaa aaa aaaaaae aaa daaaaaad daaa eaaaaaa aaaaaeeeedd aaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaa dddeeeeaaae ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#938093ff b,#db304dff c,#ec95a4ff d,#d0c4ccff e,#aea0aeff f,#e56e83ff g,#e7e1e5ff ``` ```image cbbbbf fbbbbc fbbbbc bbbbbd cffbbg gd daad eaaaag daaaaae eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae aaaaaad gaaaaaag daaaaaa eaaaaae eaaaaad gaaaaaag daaaaaag eaaaaae eaaaaa gaaaaa daaaa ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#948194ff b,#db2d4bff c,#eb8d9eff d,#e6bfc8ff e,#b6a9b6ff f,#e25d74ff g,#ebdfe3ff ``` ```image bbbbbbbbfccdg bbbbbbbbbbbbbbbbbbbbbfccdg gbbcffbbbbbbbbbbbbbbbbbbbbbbbbfd cbb gdccfbbbbbbbbbbbbbbbbc fbb gcbbbbbbbbbbcg bbb dfbbbbbbbbbfd bbb dfbbbbbbbbbfd bbf gcbbbbbbbbbbc bbc cbbbbbbbbbbcg bbd dfbbbbbbbbbfd bbg dfbbbbbbbbbfd dbb gcbbbbbbbbbbc cbb cbbbbbbbbbbcg fbb dfbbbbbbbbb bbb dfbbbbb bbb gcf bbf bbc bbd gbb dbb cbb fbb bbb bbb bbf bbc e bbg eaa gbb aaa cbb aaa fbb gaae bbb aaa bbb daad bbf aaa bbc eaag bbd aaa bbg aaa dbb gaae cbb aaa fbb gaae bbb aaa bbb eaag bbf aaa bbc aaa bbd aaa gbb aaa dbb gaae cbb aaa fbb eaad aaa eaag aaa aaa gaae g aaa eaa daad eaae aaa aaag eaag aaa aaa gaaa aaa eaae gaae aaag aaa aaa gaae gaaa aaa eaae eaag aaag aaa aaa aaa gaaa aaa eaaa aaa aaad gaae aaa aaa aaa aaaad daaa gaaaaaa aaad eaaaaaa aaa aaaaaae aaa gaaaaaag daaa eaaaaaa aaaaeeeedgg aaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaag aaaaaaaaaaaaaaaaaaaaaaa gggdeeeaaae ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#304c3cff b,#d8bfa5ff c,#62796bff d,#e0d6caff e,#97be98ff f,#f1f3edff g,#b0d6b0ff ``` ```image f b df df fd fd b b b bb b dfdb b b bd b fb bf b b b df b fb dd dd db fd b dd b b bf b df fffbfffffffffffff b b fegggbgggggggggggg b fd fgggggbggggggggggg b b fgggggbbgggggggggg b b fggggggbgggggggggg b fbf fgggggggbggggggggg df db fggggggggbgggggggg fd bd fgggggggggbggggggg fd db fgggggggggbbgggggg b bd fggggggggggbbggggg b fbf fgggggggggggbggggg b bb fggggggggggggbgggg b fbf fggggggggggggggggg b db fggggggggggggggggg b bd fggggggggggggggggg df dbf fggggggggggggggggg df bb fggggggggggggagggg fd fbf fggggggggggcaegggg b bb fggggggggeacgggggg b bd feeeeeeeaaeeeeeeee b db eag b bd fac b fbf caf b bb dae b fbf aa df db ead dd bd fac fd db caf geeeeebeeeeeeeeef bb dae egggggbgggggggggf fbf aa egggggbgggggggggf bb ead egggggbgggggggggf bd fac egggggbgggggggggf db caf egggggbgggggggggfbd dae egggggbgggggggggbf aa egggggbgggggggbbf ead eggggggbgggggbggf fac eggggggbgggbbgggf caf eggggggbggbbggggf dae eggggggbbbggggggf aa eggggggbbgggggggf ead eaggggggggggggggf fac ecegggggggggggggf caf eecgggggggggggggf dae egagggggggggggggf aa egagggggggggggggf ead egaggggggggggggef fac ffafffffffffffff caf eg dae dc aa a ead a fac a caf cf dae ee aa fc ead a fac a caf a dae cd aa ge ead fa fac acaf ae ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#2f4c3bff b,#d9bea6ff c,#5a7063ff d,#e3d4c5ff e,#9faca4ff f,#f1eae3ff g,#7b8d82ff ``` ```image bb bb bb dbf dbf dbf fbd fbd fbd bb bb bb db dbf d dbf fbb fbf dbbd fbd fbbbf fbd fbbd bd dbbf bb fbbbf bb dbbd bb fbbbf dbfdbbd dbbbbf dbbd fac fbd aa caf gad eae dag fac aa caf gab eae dag ```  The evidence suggests that this is not an intersection point in area A. Okay, let's direct our attention to the next zone. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#324e3dff b,#d9bda4ff c,#6d8176ff d,#e9ddd2ff e,#99a79eff f,#f4f0ebff g,#deccbaff ``` ```image dbg gbg gbd fbbf fbbf dbb gbg gbd bbd fbbf dbbf dbg gbg gbd fbbf fbbf dbb gbg gbd fbbd fbbf dbbf dbg gf df feac gaaae fcaacf eaaag dcaaef ```  Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#2b4837ff b,#dabea5ff c,#657a6eff d,#dfd5c8ff e,#9aa8a0ff f,#f3eee9ff g,#3e5848ff ``` ```image f b d df fd fd b b b bb b dfdb b b bd b fb bf b b b df b fb df dd fb fd b dd b b bf b df b b b b b fd fb b b dd b b bf b fbf bf df db b fd bd fb fd db db b bd bd b fbf bf b bb b b fbf b db b bd df db df bb fa fd fbf caf b bb dae b bd gg b db ead b bd fac b fbf caf b bb dae b fbf gg df db ead fd bd fac fd db caf b bb dae b fbf gg b bb ead b bd fac b db caf b bd dae df fbf gg df bb ead fd fbf fac fd db caf b bd dae bdb gg bd ead a fac cd caf dc dae a gg a ead a fac g caf ee dae dc gg a ead a fac a caf cf dae ee gg fc ead a fac a caf a dae cd gg ee ead g fac acaf ae ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#4fc840ff b,#5551f3ff c,#1ab806ff d,#8e8cf6ff e,#cbeec7ff f,#92dd89ff g,#c7c6faff ``` ```image f fca ccc ccc acce ecca ccc ccc acce ecca ccc ccc acce ecca ccc ccc fcccf fcccccca eaccccccccf eaccccccccf eaccccccccf fccccccccae fccccccccae fccccccccae eaccccccccf eaccccccccf ccccccccf acccccae fcccce ccccf acccc fcccce eccccf cccca fcccc eccccf cccca acccc fcccce cccca acccc fcccce eccccf cccca cccce cf dbbdg bbbbbbbbbbddg gbbbbbbbbbbbbbbbbbbdgg bbb gddbbbbbbbbbbbbbbbbdg bbd gdbbbbbbbbbbbbbbbbbdg bb gdbbbbbbbbbbbbbbbbddg dbb ggdbbbbbbbbbbbbbbbbdgg bbd gddbbbbbbbbbbbbbbbbdg bb gdbbbbbbbbbbbbbbbbbdg dbb gdbbbbbbbbbbbbbbbbd bbb ggdbbbbbbbbb bbg gddb gbb bbb bbg bb dbb bbd bb dbb bbb bbg gbb bbb bbg gbb dbb bbd bb dbb gbd ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#f43a4dff b,#a073ddff c,#fbbdc4ff d,#f65d6cff e,#c7acebff f,#f3e1eeff g,#f88f99ff ``` ```image ffee ffeeebbbbbbbbbbbbf ffeeebbbbbbbbbbbbbbeeff ffeeebbbbbbbbbbbbbbeeff ffeeebbbbbbbbbbbbbbeeff ebbbbbbbbbbbbeeff ebeff bbf bb bb fbb ebe ebe bbf bb bb fbb fbe faf ebe gad bbf aac bb caa b dag faaf gad aac caa dag faaf gad aac caa dag aaf gad aac faa dad aaf caa dac faa gad gf aaf faaaf caa ad daaf dag ga daaf faa ac daaf gad da daaf aac faf daacaa ad dag ga ac aa fa ad ga ac aa ca ag ga ac aa ca ag da af aa ca ag da af ad ca ag da faf ad ga ag ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#119947ff b,#e520fcff c,#93c997ff d,#f7bcfeff e,#4bb171ff f,#b1d7b2ff g,#de68ecff ``` ```image f faaf aa a eaf ee cae a faa fa aa ac eac a cae ca aa af aaf a eac ea fae af aa a aaf ee eac a fae fa aa ac eaf a cae ca faa af aa a eaf ea cae af faa a a ee a fa ac a ca af a cffffffeafffffffffffffffffffc cfffffffacffffffffffffffffffc cfffffffcaffffffffffffffffffc cffffffffaefffffffffffffffffc cfffbgffffacffffffffffffffffc cfffbbffffcaffffffffffffffffc cfffbfbffffaefffffffffffffffc cffggfgbffffafffffffffffffffc cffggffbgfffeaffffffffffffffc cffbffffbffffaefffffffffffffc cffbfffffbffffafffffffffffffc cffbfffffgbfffeaffffffffffffc cffbffffffbgfffacfffffffffffc cffbfffffffbgffcafffffffffffc cffbffffffffbfffaeffffffffffc gb cfggfffffffffbfffacfffffffffc bb cfggfffffffffgbffcafffffffffc bdb cfbfffffffffffbgffaeffffffffc b bg cfbffffffffffffbfffaffffffffc b b cfbfffffffffffffbffeafffffffc db gb cfbfffffffffffffgbffaeffffffc gg bd cfbffffffffffffffbgffaffffffc bd b cfbfffffffffffffffbgfeafffffc b bg cggffffffffffffffffbffacffffc b b cggfffffffffffffffffbfcaffffc b db cbffffffffffffffffffgbfaefffc b bd cbfffffffffffffffffffbgfafffc db b cbffffffffffffffffffffbfffffc gg gb cbfffffffffffffffffffffbffffc bd bd cbfffffffffffffffffffffgbfffc b db cbffffffffffffffffffffffbfffc d b bg gbffffffffffffffffffffffffffc bbg b b ggffffffffffffffffffffffffffc gbbd db db bfffffffffffffffffffffffffffc dbbg dg bd bcccccccccccccccccccccccccccf gbbd gd b b dbbg b ggb gbbd b bb dbbg b db gbbd b dbbg db gbbd gg dbbg bd gbbd b dbbg b gbbdb dbb ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#109947ff b,#e620fdff c,#80c99dff d,#f6b7feff e,#42ae6dff f,#c5e6d2ff g,#ed66fdff ``` ```image eae faaf caa aac faaf eae faac caaf eae dbg faac gbbd caa gbbbd eae bbbbb faaf bbdbbg caa dbb dbbd aac dbb gbbd faaf dbg gbb eae gbg bbg faac gbg dbbg caaf gbd dbbd eae bbd gbbd faac bb gbb caa dbb bbg eae dbb dbbd faaf dbg gbbd caa gbg gbb aac gbg bbg faaf gbd dbbg eae bbd dbbd faac bb gbbd caaf dbb gbb eae dbb bbg faac dbg dbbd caa gbg gbbd eae gbg gbb faaf gbd bbg caa bbd dbbg aac bb dbbd faaf dbb gbbd eae dbb gbb faac dbg bbg caaf gbg dbbd eae gbg gbbd faac gbd gbb caa bbd bbg eae bb dbbg faaf dbb dbbd caa dbb gbbd aac dbg gbb faaf gbg bbg eae gbg dbbd faac gbd gbbd caaf bbd gbb eae bbd bbg faac bb dbbg caa dbb dbbd ef dbg gbbd gbg gbb gbg bbg gbd dbbd bbd dbbd bbd gbb bb gd dbb dbg gbg gbg gbd bbd bbd ```  Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#109947ff b,#e620fdff c,#8acda4ff d,#f7befeff e,#4ab273ff f,#ceead9ff g,#ed68fdff ``` ```image f faaf aaffa eac ee cae af faa fa aaf ac eac a cae ca faa ac aaf a eac ea cae af faa fa aaf ee eac af fae fa aa ac eaf a cae ca faa ac aaf a eac ea cae af faa fa af ee af fa ac a ca ac a ea af fa ee bd af bb fa dbdb ac dg gb a gg bg ca bd bd ac b db a b gb ea b bg af b bd fa db b ee gb dg db af bb gg gb fa bdb bd bg ac b bg b bd a b b b b ca db gb b gb ac gg bd b bg a bd b db bd ea b gg dg b af b b gg db fa b db bd gb ee b bd b bg a db b b bd gg gb b b bd bd b gb b db db g d b bg dg bbg b b gg gbbd db gb bd dbbg dg bd b gbbd gd b b dbbg bd ggb gbbd b bb dbbg b db gbbd b dbbg db gbbd gg dbbg bd gbbd b dbbg b gbbdb dbb ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#bd687fff b,#2033bfff c,#c4c9edff d,#848fdbff e,#cf92a3ff f,#e5c5ceff g,#4858caff ``` ```image c cbbbb bbbbbbbg gbbbbbbbbbbg dbbbbbg bbbbbbd cbbbbbb cbbbbbbd bbbbbbc cbbbbbbd gbbbbbd cbbbbbbc dbbbbbg dbbbbbbc cbbbbbb dbbbbbb bbbbbbc gbbbbbb gbbbbbd gbbbbbg dbbbbbg bbbbbbg cbbbbbb bbbbbbd bbbbbbc cbbbb gbbbbbd cbg dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg cbbbbbb bbbbbbc gbbbbbd dbbbbbg bbbbbb bbbbc cbd af aaa faaaa aaaaae faaaaaa aaafaaaa eaaa aaaf aaaf aaaa eaaa aaae aaaf faaa eaaa aaaa aaaf aaaf eaaa eaaa aaaf aaae faaaaaaeef eaaa faaa aaaaaaaaaaaaaaaa aaaf aaaa aaaaaaaaaaaaaaaaa aaaa aaaf faaaae ffeaaaaaa aaa eaaa aaaaaf aaaa aaaa eaaaaa aaa faaaf faaaaaaa aaaa aaaa aaaaaaaaf aaa aaae eaaaaaaaaf aaaa faaa faaaaaaaaf aaa aaaa eaaaaaaae aaaa aaaf faaaaaaaaf faaa eaaa faaaaaaaae aaae aaae eaaaaaaaa faaa faaaaaaaaaaf aaae aaaaaaae faaa aaaaf aaae f faaa aaae faaa aaae faaa aaaf eaaa aaaf eaa f ```

[ "" ]

This image might have some surprises. Let's look for intersections carefully. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#1fdd28ff b,#f9c299ff c,#54e35bff d,#b1d8afff e,#f19449ff f,#edf5e8ff g,#90d992ff ``` ```image fffffffffffffff gddddddddddddddgf gdddddddddddddddf geddddddddddddddf gdedddddddddddddf gdedddddddddddddf gddeddddddddddddf gddeddddddddddddf gdddedddddddddddf gaddedddddddddddf gcgddeddddddddddf gdaddeddddddddddf gdadddedddddddddf gdcgddedddddddddf gddadddeddddddddf gddadddeddddddddf gddcgdddedddddddf gddgcdddedddddddf gdddaddddeddddddf gdddaddddeddddddf gdddgcddddedddddf gddddaddddeeddddf gddddaddddddeeeef gddddgcdddddddddeeeb gdddddaddddddddgf beeef fffffafffffffff fbeeb gd feeeb a beebf a fbeeb gd beeeb a beebf a feeeb cf beeef fc beeb a feeeb cf beeef fc fbeeb a feeeb a beebf dg fbeeb a beee a dg a a gd a a cd a a cf fc a cf fc a a dg a a gg a a gd a a cf fc a cf fc a a dc a a dg aaaaacccgddff ffddggccaaaaaaaaaacccggdff ffddggccaaaaaaaaaacccggdff ffddggccaaaaaa ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#21dd2aff b,#f7a96dff c,#59e55fff d,#c2f5c5ff e,#f58c3dff f,#fbe1ccff g,#86ec8bff ``` ```image f eb bef feb bef feb bef feb bef feb bef feb bef feb ac bef aa feb gad bef dac feb aa bef gad feb dag bef aa feb cad bef dag feb aa bef cad feb gag bef ac feb ca bef gag feb dac bef ca feb gad bef dac feb aa bef gad feb dac bef aa feb gad bebbf dag fbeeeebff aa fbeeeeeb cad ffbee dag f ac cad ```  No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#20dd28ff b,#f7af78ff c,#57e55eff d,#c8f6caff e,#f58e40ff f,#fbd9c0ff g,#91ee95ff ``` ```image bf e bf e bf e a bf gd e a bf a e cd bf a e a bf c e dc bf a e a bf dc e a bbf a beeb gg fbeef a feebf a beeb gg feeef a feebf a beeb gd feeef a beeb a fbeef cd feebf c beeb a fbeef c feebf dc beeb a feeef a feebf dg beeb a feee a gg a a gg a a cd a a cd c a c dc a a dg a a gg a a gd a a cd c a c dc a a dc a a gg aaaaacccggdd ddgggccaaaaaaaaaacccggdd ddgggccaaaaaaaaaaaccggddd ddgggccaaaaaa ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#43856bff b,#22be5dff c,#90c7a0ff d,#6fa28dff e,#e3f1e8ff f,#55cb81ff g,#afd6b3ff ``` ```image e eaad ddg daaaa aaa aaaaaa aaa eaaaaaaag aaa caaaaeeaaa aaa aaaaa aaa eaad eaaaad aaae caag gaaaag gaad daae daaaa aaa aaa aaaad aaa aaa eaaaag daag aaa daaaae eaaa aaa aaaaa aaa eaad eaaaac aaae gaag caaaae gaad daae aaaaa aaa aaa eaaaad aaa aaa gaaaag daag aaa daaaa eaaa aaa aaaad aaa eaad gaaaag aaa gaac daaaae caac daae aaaaa aaa aaa eaaaac eeeaaaeeaaaeeee caaaae ecggaaacgaaaggggc aaaaa egggcaaagaaaggggc eaaaad eggggaaagaaaggggc gaaaae eggggaaacaadggggc aaaaa eggggdaaaaacggggc aaaad egggggaaaaagggggc gaaaag egggggaaaaagggggc daaaa egggggaaaaagggggc aaaaa egggggcaaaagggggc eaaaac eggggggaaaagcbfgc daaaae eggggggaaadbbbbgc aaaaa eggggggdabbbbbbcc eaaaad eggggggbbbbbbcggc caaaae eggggfbbbbbfggggc aaaaa eggfbbbbbfggggggc aaaad efbbbbbbggggggggc gaaaag ebbbbbbeeeeeeeeee daaaa ebbbbbbe aaaaa bbbbbbe eaaaac fbbbbbg daaaae fbbbbbc aaaaa cbbbbbf eaaaac gbbbbbf caaaae ebbbbbb aaaaa ebbbbbbe eaaaad bbbbbbe aaaag fbbbbbg caa fbbbbbc d cbbbbbf gbbbbbf ebbbbbb ebbbbbbe bbbbbbe fbbbbbg fbbbbbc cbbbbbf gbbbbbf ebbbbbb ebbbbbbe fbbbbbe gbbbbbg bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbbe bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbg gbb e ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#43856bff b,#21bd5dff c,#8ec5a9ff d,#6fa18dff e,#d9ede2ff f,#52cc80ff g,#b9d9c9ff ``` ```image gaaaaad eaaaaad eaaaaaa gaaaaac daaaaag caaaaag caaaaac caaaaag eaaaaad daaaaae aaaaaae aaaaaa daaaaag aaaaaa gaaaaadeaaaaad eaaaaaagaaaaac daaaaadaaaaac caaaaaaaaaaag gaaaaaaaaaaae aaaaaaaaaaa daaaaaaaaaa gaaaaaaaaad eaaaaaaaaac aaaaaaaaac caaaaaaaag gaaaaaaaae aaaaaaaa gfe daaaaaaa efbbf caaaaaad efbbbbbg eaaaaaadcbbbbbbbf aaaaabbbbbbbbbbbg caaabbbbbbbbbbbfe gabbbbbbbbbbbfg gfbbbbbbbbbbfg efbbbbbbbbbbbc efbbbbbbbbbbbc ecbbbbbbbbbbbce cbbbbbbbbbbbfe cbbbbbbbbbbbfe ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#43856bff b,#21be5dff c,#8fc5a9ff d,#6fa18eff e,#d9ece2ff f,#55cc82ff g,#b1d8c4ff ``` ```image e eaad ddg daaaa aaa aaaaaa aaa eaaaaaaac aaa caaaae aaa aaa aaaaa aaa eaad aaaad aaae caag gaaaag gaad daae daaaa aaa aaa aaaad aaa aaa eaaaag daag aaa daaaae eaaa aaa aaaaa aaa eaad eaaaac aaae gaac caaaae gaad daae aaaaa aaa aaa eaaaad aaa aaa gaaaag daag aaa daaaa eaaa aaa aaaad aaa eaad gaaaag aaa gaac daaaa caac daae aaaaa aaa aaa eaaaac aaa aaa caaaae daag aaa aaaaa eaad aaa eaaaad aaa aaa caaaae aaagaac aaaaa caaaaag aaaad aaaaa gaaaag aaaaa daaaa aaaaa aaaaa gaaaa eaaaac aaaa ebf daaaae aaadbbbb aaaaa cabbbbbbe eaaaad fbbbbbg caaaae fbbbbbc aaaaa cbbbbbf aaaad gbbbbbf gaaaag ebbbbbb daaaa ebbbbbbe aaaaa bbbbbbe eaaaac fbbbbbg daaaae fbbbbbc aaaaa cbbbbbf eaaaac gbbbbbf caaaae ebbbbbb aaaaa ebbbbbbe aaaad bbbbbbe aaaag fbbbbbg caa fbbbbbc d cbbbbbf gbbbbbf ebbbbbb ebbbbbbe bbbbbbe fbbbbbg fbbbbbc cbbbbbf gbbbbbf ebbbbbb bbbbbbe fbbbbbe gbbbbbg bbbbbc cbbbbb bbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbbc cbbbbb ebbbbbg fbbbbf ebbbbbe bbbbbf gbbbbb bbbbg gbb e ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#5a9e0eff b,#440c03ff c,#bbc99eff d,#683b34ff e,#dde2cfff f,#977974ff g,#97c167ff ``` ```image ebf bbd bbb bbb bbb bbb dbb dbb fbbe fbbc cbbf ebbf ebbd bbd bbb bbb bbb bbb dbb dbbe fbbe cbbc ebbf ebbd bbd bf bbb dbbb bbb cbbbf bbb dbbb bbb cbbbf bbb dbbb bbb ebbbf bbb dbbb bbb ebbbf bbb dbbb bbb ebbbf ebbb dbbb ebbb ebbbf ebbd dbbb ebbd ebbbf cbbd dbbb cbbd ebbbf cbbd dbbb fbbf c ebbbf fbbf eaac dbbb fbbf caaaac ebbbf dbbc caaaac dbbb dbbc caaaac ebbbbbc caaaac dbbe eaaaac e eag eaaaac cag eaaaac gag eaaaac aac eaaaac aae eaaaac aa eaaaac aa eaaaac aa eaaaag aa eaaaag eaa eaaaag caa eaaaag gag eaaaag gac eaaaag aae eaaaag aa eaaaag aa eaaaag aa eaaaag aa eaaaag aa eaaaag eaa eaaaag cag eaaaag gag eaaaag aac eaaaag aae eaaaag aa eaaaaage aa eaaaaaaae aa gaaaaaac aa gaaaaaag eaa caaaaaaaa eaaaag eg ```

[ "" ]

This image has no intersections, it's quite obvious.

0

```palette Key,Color ,#fefefeff a,#326477ff b,#08a28aff c,#9bc1c3ff d,#cde4e3ff e,#7596a3ff f,#59c0b0ff g,#517b8bff ``` ```image dddddddddddddddddddddddddddddddd dfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbfffffffffffffffffffffffffffffff cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbc cbbbbbbbbbbbf cbbbbbbbbbbbf cbbbbbbbbbbbfd dfbbbbbbbbbbfd dfbbbbbbbbbbfd fbbbbbbbbbbfd bbbbbbbfd fbbfd ce gag daag aaaa eaaae eaaaaad aaaaad aaaaaaae aaaaaa gg aaaaa daaggaaa eaaaa gaad aaaa daaaac aaa aaag aaaag aaa daaac gaaaa caae caaad caaaad gaad gaaa aaaae aaa aaaa aaaaa aaa aaaa eaaaad caae aaae daaaac aaa daaac aaaag aaa eaaa gaaaa aaa gaaa caaaad eaac aaaa aaaae aaa aaag aaaaa aaa daaac eaaaad daaa caaad daaaac eaac eaaa aaaag aaa aaaa gaaaa aaa aaaa caaaad daag aaae aaaaeeaac daaac aaaaaaa eaaad eaaaaa gaaa daaag aaaa aa aaag daaae caaad eaaa aaaa aaaa aaag daaac caaad gaaa aaaa aaag aaae daaad eaaa gaaa aaaa aaag daaac cag c ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#0df01eff b,#d47af3ff c,#92f79aff d,#4ef35bff e,#e2a6f6ff f,#cdfbd0ff g,#f2d7fbff ``` ```image bg gbbb ebbe bbb ebbe bbbg gbbb ebbe bbb ebbe bbbg gbbb ebbg bbb ebbe bbbg gbbb ebbg bbb b ebbe bbe bbbg gbbg gbbb ebb bbe bbb bb bbe bb gbbg eb ebb gbg bbb be bbe bb gbbg bb ebb eb bbb gbg bbe be gbbg bb ebb bb bbb eb bbe gb gbbg bg ebb bb bbb bb bbe bb gbbg gb ebb bg bbb be bbe bb gbbg bb ebb eb bbb ac gbg bbe aaf begbbg cad bbbb aa bbb aa g cad aa aa cac aa aa dac aa aa dac aa aa dac faa aa daf faa aa daf fad aa aaf fad aa aaf cad aa aaaaaaaaaaaaaaaaaaaaadddddddddddddddccccccccccccccfffffffaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad ffffff ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#d24cadff b,#a26f69ff c,#dac6c3ff d,#ebb2dbff e,#df81c5ff f,#bf9c98ff g,#f3e4ebff ``` ```image eae daaaaa daaaaeaaa gaaaad gaaad aaaae aaae eaaaa eaaa eaaaa daaag daaaag gaaad gaaaad aaae aaaae eaaa aaaae gaaag eaaaa aaae daaaag aaaa gaaaad daaa gaaaad gaaad aaaae aaae eaaaa eaaa eaaaag daaag daaaag aaad gaaaad aaaa daae eaaa a gaaag aaae aaaa daaa gaaad aaae eaaa daaag aaad aaaa eaaa gaaag aaae aaaa daaa gad fbc gbbb bbbbc fbbcbb gbbc bbf bbb cbb fbb bbf gbbc cbb gfc bbb bbf fbbbb bbb cbb cbbbbbbg gbbg bbf gbbbbbbc bbf cbb fbbbbbf bbb bbf cbbbbbbg cbbg gbb gbbbbbbc bbf bbb fbbbbbf bbb gbb cbbbbbbg cbbg bbb gbbbbbbc bbf gbb fbbbbbf bbb bbb cbbbbbbg cbb gbbg gbbbbbbc gbf bbb fbbbbbf bbg ggccbbbbbbg bbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbf cffcccgg ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#2c76b6ff b,#a55594ff c,#9bbedcff d,#8c2375ff e,#5f97c7ff f,#c490b9ff g,#ddd9e8ff ``` ```image c ga ag ea a ac ca a ac ca a ac ca a ae ga ag ac ee ae ga aa ag aa ea ea a ca ac cag ca gag a ac ac ae ca ae a aa ae ea ga ea ag cag ee gag ga ac ag ae ee ae ga aa ag ea ea d ea a fd ca ac dg gag ca gd gac a df ac ac d ae ca bb aa a d aa ae fd ea ga dg ca ag gd cag ee df gag ga d ac ag bb ae ea g d ae a gdd fd aa ac gddg df ea ca gddg gd eaa gddg bb cc gddg d fddg fd fddg dg fddg gd fddg df fdd d fdd bb fdd d fdd fd fdd dg fdd gd fdb df bdb d bdb bd bdb dg bdb gd bdb df bdb d bdb bb bdb d bdb fd bdf dgddf gdf ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#3d3ee2ff b,#8560deff c,#cac5f4ff d,#b1d7b1ff e,#9496ceff f,#eef3f2ff g,#96c997ff ``` ```image ffffffffffffffffffffffffffffffffffffffffffffffffffff cbc fgddddddddddddddddddddddddddddddddddddddddddddddddddgf bbbb fddddddddddddddddddddddddddddddddddddddddddddddddddddf fbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf ebbbf fddddddddddddddddddddddddddddddddddddddddddddddddddddf bbbe fddddddddddddddddddddddddddddddddddddddddddddddddddddf cbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf bbbb fddddddddddddddddddddddddddddddddddddddddddddddddddddf fbbbc fddddddddddddddddddddddddddddddddddddddddddddddddddddf ebbb fbbbeeddddddddddddddddddddddddddddddddddddddddddddddddf fbbbe caaabbbbbbbbeeddddddddddddddddddddddddddddddddddddddddf cbbbf aaaaaabbbbbbbbbbbbbeeddddddddddddddddddddddddddddddddf bbbb aaeaaaaabeebbbbbbbbbbbbbbbbeeddddddddddddddddddddddddf cbbbc aadddaaaaaaedddddeebbbbbbbbbbbbbbbbedddddddddddddddddf bbbb aadddddeaaaaaaeddddddddddeebbbbbbbbbbbbbbbeedddddddddf fbbbe aaddddddddeaaaaabddddddddddddddddeebbbbbbbbbbbbbbbeegf ebbbf aadddddddddddbaaaaaedddddddddddddddddddddeebbbbbbbbbbbbbbbbb aadddddddddddddeaaaaaaeddddddddddddddddddddddddddeebbbbbbbc aaddddddddddddddddeaaaaaaddddddddddddddddddddddddddddf c aadddddddddddddddddddbaaaaabdddddddddddddddddddddddddf aaddddddddddddddddddddddaaaaaaeddddddddddddddddddddddf aaddddddddddddddddddddddddeaaaaaaddddddddddddddddddddf aadddddddddddddddddddddddddddbaaaaabdddddddddddddddddf aaddddddddddddddddddddddddddddddaaaaaaeddddddddddddddf aaddddddddddddddddddddddddddddddddeaaaaaaddddddddddddf aadddddddddddddddddddddddddddddddddddeaaaaabdddddddddf aaggggggggggggggggggggggggggggggggggggggaaaaaaeggggggf aa caaaaaac aa eaaaaabf aa baaaaae aa caaaaaac aa caaaaabf aa baaaaae aa faaaaaac aa caaaaaaf aa eaaaaab aa fbaaaaac aa caaaaaac aa eaaaaab aa fbaaaaa aa caab aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa faa faa faa faa faa faa faa faa faa faa faa caa caa caa caa caa caa caa caa caa caa caa caa caa cbb ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#3e3de3ff b,#885ddfff c,#cbc0f3ff d,#b3a3eeff e,#9884e8ff f,#e6e1f9ff g,#6866e8ff ``` ```image cff bbbbbeddcff gaagbbbbbbbbbeddcff aaaaaagbbbbbbbbbbbbbeedccff aaaaaaaaagbbbbbbbbbbbbbbbbbbeedccf aaaaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaaaaaaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddccf aaaaeaaaaaaaaaaagdccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag ceaaaaaaaaaaaef fccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag fdgaaaaaaaaaagdf ffccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeddcff aaag feaaaaaaaaaaagc ffccdeebbbbbbbbbbbbbbbbbbbbbbbbbbbbeeddcff aaag ceaaaaaaaaaaaec ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccff aaag dgaaaaaaaaaagdf ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaag fdgaaaaaaaaaagd ffcddebbbbbbbbbbbbbbbbbbbbbbbbbbbbbeedccf aaag ceaaaaaaaaaaaec fccddebbbbbbbbbbbbbbbbbbbbbbbbbbb aaag cgaaaaaaaaaagef fccdeebbbbbbbbbbbbbbbbbbb aaag fdgaaaaaaaaaagd fccdeebbbbbbbbbbb aaag feaaaaaaaaaaaec ffccdeebbb aaag cgaaaaaaaaaaaef ff aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaef aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaec aaag dgaaaaaaaaaagdf aaag fdgaaaaaaaaaagd aaag ceaaaaaaaaaaaec aaag cgaaaaaaaaaagef aaag fdgaaaaaaaaaagd aaag feaaaaaaaaaaaec aaag cgaaaaaaaaaaaef aaag fdgaaaaaaaaaagdf aaag feaaaaaaaaaaagc aaag ceaaaaaaaaaaaef ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#3d3de3ff b,#885ddfff c,#cdc7f5ff d,#b7a8eeff e,#9b88e9ff f,#e6e3f9ff g,#6c6be8ff ``` ```image cbd bbbb fbbbd ebbb bbbe dbbbf bbbb fbbbd ebbb fbbbdcf bbbe caaagbbbbbbedcf dbbbf aaaaaabbbbbbbbbbbbedc bbbb aaeaaaaagcdebbbbbbbbbbbbbbedc cbbbc aa fgaaaaad fcdebbbbbbbbbbbbbbedf ebbb aa caaaaaac fcdbbbbbbbbbbbbbbbedf fbbbe aa eaaaaag fcebbbbbbbbbbbbbbbecf dbbbf aa gaaaaae fcebbbbbbbbbbbbbbbbb aa caaaaaac fdebbbbbbbc aa daaaaagf f aa gaaaaae aa faaaaaac aa daaaaagf aa eaaaaae aa fgaaaaad aa caaaaaaf aa eaaaaag aa gaaaaad aa caaaaaac aa eaaaaag aa gaaaaae aa caaaaaac aa daaaaagf aa gaaaaae aa faaaaaad aa daaaaagf aa eaaaaae aa fgaaaaad aa caaaaaaf aa eaaaaag aa gaaaaa aa caag aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa aa faa faa faa faa faa faa faa faa faa faa faa faa caa caa caa caa caa caa caa caa caa caa cgg ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B.  ```palette Key,Color ,#fefefeff a,#086203ff b,#bdda6cff c,#b1d6b0ff d,#8cbf8cff e,#edf5e5ff f,#d8e9aaff g,#53934fff ``` ```image bf bf bb bb bb bb bb bb bb bb fb fb fbe ebe ebe bf bf bf e bb fbf bb bbb bb bbb bb fbbf bb bbbe bb bbb bb ebbf fb fbbe fb bbb fb ebbf fbe fbbe ebe bbb ebf bbb bf fbbf bf bbb bb bbb bb eeeeeeeefbbfeee bb ecccccccbbbdccccd bb eccccccbbbaaccccd bb ecccccbbbgaaacccd gc bb ecccbbbccaaaadccd ead bb fb eccbbbccaadcaaccd dae bb bb ecbbbcccaaccgagcd aa fb bb fbbccccaaccccaacd aa fb bbe bbbccccdaaccccdaad aa fb bbe bbbcccccaaccccccaad ag ebe bbf ebbfeccccdagcccccccaa cac ebe ebbf bbbe eccccaaccccccccaac ga bf fbbb bbb ecccgagcccccccccaa aa bf fbbb ebbf ecccaaccccccccccgag aa bf bbbb fbbe eccaadccccccccccdaa ag bb bbbb bbb eccaacccccccccccdfaa ead bb bbbb ebbf ecaaccccccccccccd aae dae bb bbbb fbbe edaaccccccccccccd aa aa bb bbfb bbb eaacccccccccccccd gac aa bb bffb bbb dagcccccccccccccd aa aa bb ebeebe fbbf aaddddddddddddddc dag ag bb fbeebf bbb gad aa cac bb fb bf bbb aa eaa ga fb bb bb ebbf gac aae aa fb bb bb fbbe aa aa aa fbebb bb bbb aae gad ag ebebb bb ebbf eaa aaead ebfbf bb fbbe aa caaae bfbf bb bbb cag aaa bbbe fb ebbb aa eaa bbb fb fbbf gad dd bbb ebe bbb aa bbb ebe bbb gac bbb bf ebbf aa bbb bffbbe aae eeebbbeeeebbbbe eaa dcccbbbccccbbbcce aa dcccbbcccccccccce dag dcccbbcccccccccce aa dcccbbcccccccccce gad dccccccccccccccce aa dccccccccccccccce gac dccccccccccccccce eaa dccccccccccccccce aae ddddddddddddddddcccccccccccccccccccaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gdddddddddddddddccccccccccccccccccce dccccccccccccccce dccccccccccccccce ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#056101ff b,#bdda6bff c,#b7d1b5ff d,#c1d8c0ff e,#e8f2cdff f,#d2e59bff g,#257420ff ``` ```image bbbbb fbbbbbbbe bbbbf fbbbbbbe bbbbf ebbbbf bbbbf ebbbe bbbbe efe fbbbe fbbbe fbbb fbbb ebbf ee ddddddddddddddddddddddddddddddd gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa dcccccccccccccccccccccccccccccc ```  This isn't an intersection in area A, but I'm not discouraged. Okay, on to the next area of interest. This is a magnified view of the region B.  ```palette Key,Color ,#fefefeff a,#076102ff b,#beda6dff c,#cbdfb4ff d,#639c5dff e,#e4eedbff f,#99be95ff g,#2f7a2bff ``` ```image cbbbbbe bbbbbbc ebbbbbdaac cbbbbbfaaag cbbbbbeaaaaaf ebbbbbc daaaaaae ebbbbbc eaaaaaaad cbbbbbe daaafgaaac ebbbbbc caaag caaag ebbbbbc gaaac gaaaf cbbbbbe faaad eaaag bbbbbb gaaae daaaf ebbbbbc faaad eaaaae cbbbbbe eaaaae faaad bbbbbe daaaf gaaac bbbc eaaag caaag bbe daaaf daaa be caaag eaaa gaaac daa faaad ga gaaae fa faaad g eaaaae c daaaf eaaag daaaf caaag gaaac faaad gaaae faaad eaaaae daaaf eaaag daaaf caaag gaaac faaad gaaae ```  Hmm, it seems there's no intersection in area B after all. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#066101ff b,#bdda6bff c,#bad3b9ff d,#7bab78ff e,#e8f1d4ff f,#d3e69dff g,#388034ff ``` ```image bf bf bb bb bb bb bb bb bb fb fb fb eb ebe ebe bf bf bf bb fbf bb bbb bb bbb bb ebbe bb bbb bb bbb bb ebbf fb fbbe fb bbb fb ebbf ebe fbbe ebe bbb be bbb bf ebbe bf bbb bf bbb bb ebbf bb fbbc bb bbbaa bb ebbfdaaa dc bb fbbe aagac ead bb fb bbb gac aa dae bb bb bbf aa dad ga fb bb fbbe aae aa aa fb bbe bbb eag cag aa eb bbe bbb aa aa ad ebe bbf ebbf cag aa cac ebe ebbf fbb aa gac ga be ebbb bbb dad aa aa bf fbbb ebbf aa dad aa bf bbbb fbbe gac aa ag bb bbbb bbb aa eag ead bb bbbb bbf aae aae dae bb bbfb fbbe eag aa ga bb bffb bbb aa gac aa bb bfeb bbb cag aa aa bb ebeebe ebbe aa cag ad bb eb be bbb dad aa cac fb fb bf bbb aa eaa ga fb bb bf ebbf gac gae aa fb bb bb fbbe aa aa aa eb bb bb bbb aae dad ag ebebb bb ebbf eag aaead ebebf bb fbbe aa caaae bfbf bb bbb cag aaa bbbe fb bbb aa eaa bbb fb ebbe dad dd bbb ebe bbb aa bbb ebe bbb gac bbb bf ebbf aa bbb bffbb aae bbb bbbb eag bbf bbf aa bbe ee cag fbe aa fb dad e aa gac aa aae cccccccccccccccccccccccccccccccccccag aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ccccccccccccccccccccccccccccccccccce ```

[ "" ]

This image has no intersections, it's quite obvious.

0

```palette Key,Color ,#fefefeff a,#a38ae5ff b,#d1168dff c,#e3d6f3ff d,#e375bbff e,#efb0d8ff f,#da45a4ff g,#bdacecff ``` ```image c aa gag caaa aaaa caaaac aaaa gaaaaag aaag gaaa gaa caaac aaaa caa caaac aaag aa gaaa aaag aac aaaa aaac aag aaaa aaac aaa aaag a gaa caaac caa gaaa aa gaaa aac aaaa aag aaag gaa aaag caa caaac aa gaaa aac aaaa aag aaaa aaa aaag gaa caaac caa caaac aa gaaa aac aaaa aag aaaa gaa aaag caa caaac aa gaaa aac gaaa aag aaaa aaa aaag gaa aaag caa caaac aa gaaa aac aaaa aag aaaa aaa aaag caa caaac aa caaac aac gaaa aag aaaa aaa aaaa gaa aaag caa caaac aa gaaa aac gaaa aag aaaa aaa aaag caa aaag aaaaac aaaa aaa g ebf bbb bbd dc bb bbb dbb cbbd bbb fbb bbe bbb bb ebb ebbe bbbbe bbb bbb cbbbbbbf bbd bbb fbbbc bbbb bb dbbe dbbbbb fbbbe dbb bbb ebbbbbbf ebbbf bbf bbf cfbbbbbbc bbbb bbe fbbc dbbbbbbe fbbbe ebb bbb dbbbbbbd ebbbf bbb cbbd ebbbbbbf bbbb bbd fbb fbbbbbbe fbbbe bb bbb dbbbbbbd ebbbf dbb ebbe ebbbbbbd bbbbbbf bbb cbbbbbbfc fbbbbe bbb fbbbbbbe ebbb dbbe dbbbbbbd bf bbb ebbbbbbf bbbbbbbbe fbbbbe fd ```

[ "" ]

This image has no intersections, it's quite obvious.

0

```palette Key,Color ,#fefefeff a,#235e23ff b,#1ae2b5ff c,#a6bea6ff d,#739873ff e,#70ecd0ff f,#caebe0ff g,#487948ff ``` ```image ebb ebbf bbb bbb fbbe ebb bbb bbe ebbf bbb bbb eb fbbe ebbbbf bbb bbbbbbbb bbb ebbbbbb fbb bbe fbbbbbbf bbf ebbf ebbbbbe bbb bbb fbbbbbbf ebb bbb ebbbbbe bb fbbf fbbbbbbf bbe bbb ebbbbbe ebb bbb fbbbbbbf bb fbbe bbbbbbe bbe ebb ebbbbbb ebb bbb fbbbbbbe bf bbb ebbbbbe ebbf fbbbbbbf bbb ebbbbbe bbb fbbbbbbf fbbe ebbbbbe bbb fbbbbbbf bbb ebbbbbe fac bbbbbbb gaag ebbbe aaaaa f aagaaac aac aaag aac gaaaf aaf caaad aa aaaa aa gaaaf aa caaad faa aaaa caa gaaaf daa caaad gaa aaaa gag gaaaf aad faaad aac aaaa aac daaaf aaf faaad aa aaaa fcdd aa daaaf fcdaaaaaaaa aa faaag fcgaaaaaaaaaaaaaag faa aaaa fdgaaaaaaaaaaaaaagcf caa daaac cdgaaaaaaaaaaaaaadcf daa faaag fcdaaaaaaaaaaaaaaadcf daa aaaaaaaaaaaaaaaagdc gag daaaaaaagdf aad fcf aad aac aaf aa aa aa faa caa caa daa gag aad aad aac aaf aa aa aa faa caa caa cga ```

[ "" ]

This image has no intersections, it's quite obvious.

0

```palette Key,Color ,#fefefeff a,#44ec88ff b,#6ea02cff c,#c0f0cbff d,#b3cd91ff e,#7af1aaff f,#e5f7e7ff g,#90b75fff ``` ```image eaeeccf eaaaaaaaaaaaaaaeeccf faa fcceeaaaaaaaaaaaaaaaaaeeccf aa fcceeaaaaaaaaaaaaaae aaf fcceeaac aae eaa caa aa aaf aac eae caa faa aaf aac eae caa faa aa aac aae eaa faa aa aaf aae eaa caa aa aaf aac eae bg caa dbc faa bb aaf bg aac gbf eae bb caa fbg faa gb aa bb aac cbd aae bb eaa bb faa dbd aa bb aaf bb aae dbc eaa bb caa bg aa gbf aaf bb aac fbg eae gb caa bb faa cbd aaf bb ac fgbb cbbbbbc dbbbbbd gbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbd dbbbbbd fgbbbbbc cbbbbbgf dbbbbbg dbbbbbd fgbbbbbc cgbbbbgf bbbgf d ```

[ "" ]

This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#9ec31fff b,#ed491aff c,#c1d775ff d,#f6a48cff e,#e9764fff f,#add5adff g,#e6e8beff ``` ```image gag aaaa aaaag aaaa gg aaaa aaag caaac aaag aaaa aaac aaaag aaac gaaaa aaaa aaaa aaaa caaac caaa aaaa caaa aaaa caaa gaaac gaaa aaaa gaaa aaaag aaa aaaa aaa aaaa aaag caaac aaac aaaa aaac aaaag aaac gaaaa aaaa gag aaaa aaaa aaag caaag caaa caaaag aaaa caaa aaaaaag aaaa gaaa aaaaaaag gaaac gaaa gaaacaaaag aaaa aaa aaaa caaaag aaaag aaa aaac caaaag aaaa aaag aaa caaaag aaaa aaag caaa caaaag caaac aaac aaaa caaaag aaaa aaac aaag caaaag aaaag aaaa gaaa caaaag gaaaa aaaa aaaa caaaag aaaa aaaa aaac caaaag caaag caaa gaaa caaaag aaaa caaa caaa caaaag gcaaaa gaaa aaaa caaaag gcaaaaaaaac gaaa aaag caaaag caaaaaaaaaaaaa aaa caaa caaaag caaaaaaaaaaaaaaaac aaa aaaa caaaaaaaaaaaaaaaaaaacg aaag aaac caaaaaaaaaaaaacg aaag gaaa caaaaaaacg aaac aaaa gaag aaac aaaa aaaa aaag aaaacaaa caaaaaaa caaaaaac gaaaaaa gaaaaaa gaaaaac fffffaaaaaffffff fffffaaaaaffffff ffeffaaaaaffffff febbfaaaacffffff cbbbbaaaafffffff fbbbbaaaafffffff ffebbaaaafffffff fffcbbaabeffffff fffffbbbbbbfffff ffffffebbbbbefff ffffffffbbbbbbff fffffffffebbbbbc ffffffffffcbbbbbe ffffffffffffbbbbbb fffffffffffffebbbbbd fffffffffffffffbbbbbbbbbed ffffffffffffffffebbbbbbbbbbbbbed gbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbeg debbbbbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbd debbbbbbbbbbbg debbbbb g ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#9fc21eff b,#ed491aff c,#c4d875ff d,#f7b5a2ff e,#f28060ff f,#e95e2bff g,#f7e6d7ff ``` ```image gaaaaaaaaaaac aaaaaaaaaaac aaaaaaaaaaag aaaaaaaaaaa caaaaaaaaac caaaaaaaaag deg caaaaaaaaa gfbfd caaaaaaaac ebbbbe caaaaaaaac dbbbbbbfcaaaaaaaag gbbbbbbbbfaaaaaaaa ebbbbbbbbfaaaaaaac ebbbbbbbfaaaaaaag dbbbbbbbaaaaaaa gebbbbbaaaaaac dbbbbfaaaaafd gfbbbfaaabbbeg ebbbbbbbbbbfd dbbbbbbbbbbbe gebbbbbbbbbbfg dbbbbbbbbbbbd gfbbbbbbbbbbeg ebbbbbbbbbbfd dfbbbbbbbbbbe gebbbbbbbbbbf dbbbbbbbbbb gfbbbbbbbb ebbbbbbb dfbbbbb gebbbb dbbb gfb e ```  Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#9ec21eff b,#ee491aff c,#cbdf88ff d,#f6a993ff e,#f17755ff f,#b4d051ff g,#ebe9c7ff ``` ```image cag aaaa faaag gaaaa gg aaaa aaag caaac aaac aaaa aaac aaaag aaaf gaaaf aaaf aaaa aaaa faaac faaa aaaa caaa aaaa caaa caaaf gaaa aaaa gaaa faaag aaa gaaaa aaag aaaa aaag caaac aaac aaaa aaac aaaag aaaf gaaaf aaaa cag aaaa faaa aaag faaac faaa caaaag aaaa caaa aaaaaag aaaa caaa aaaaaaag caaaf gaaa caaacaaaag aaaa aaa aaaa caaaag faaag aaa aaaf caaaag gaaaa aaag gaaa caaaag aaaa aaag faaa caaaag caaac aaac aaaa caaaag aaaa aaaf aaag caaaag aaaag aaaf caaa caaaag gaaaf aaaa aaaa caaaag aaaa faaa aaac caaaag faaac faaa gaaa caaaag aaaa caaa faaa caaaag gfaaaa gaaa aaaf caaaag gcaaaaaaaaf gaaa aaag caaaag gcaaaaaaaaaaaaa aaa caaa caaaag caaaaaaaaaaaaaaaac aaa aaaa caaaaaaaaaaaaaaaaaaafg aaag aaac caaaaaaaaaaaaafg aaac gaaa caaaaaaafg aaac faaa cafc aaaf aaaf aaaa aaag aaaacaaa faaaaaaa caaaaaac caaaaaa gaaaaaa aaaaaf aaaaag aaaaa e aaaaa ebb aaaac gbbbbaaaa bbbbaaaa ebbaaaf gbbaabe bbbbbb dbbbbbd bbbbbb ebbbbbg gbbbbbe bbbbbb dbbbbbd bbbbbbbbbed ebbbbbbbbbbbbbed gbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gebbbbbbbbbbbbbbbbbbbedg gdbbbbbbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbbbbbbdg gdebbbbbbbbbbbbbbbbbbbeg gdebbbbbbbbbbbbbbbbbbbed gdebbbbbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbd debbbbbbbbbbbg debbbbb d ```

[ "" ]

It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#89942cff b,#5eb7e5ff c,#d3d7b2ff d,#9cd3eeff e,#b2b976ff f,#9ea752ff g,#dcecefff ``` ```image e eaa eaaa eaaa eaaa eaaa eaaa eaaa eaaa eaaa gae faaa faaf faaa aaaaa faaa aaaaaa faaa aacfaaa faaa aag faaa faaa gaa eaaag faaa caa caaag faaa faa caaac faaa aaa gaaae faaa aaf aaae faaa aae aaaf faaa aac aaaa faaa aa aaaa faaa caa faaa faaa eaa faaa faaa faa eaaag faaa caaag faaa caaac faaa gaaae faaa aaaa faaa aaaag faaa faaaf faaa gaaaa faaa aaaae faaa caaaa eaaa aaaac aaa eaaaf aaf gaaaag aae faaae aac g caaaa aa gbbb aaaac caa gbbbbb eaaafeaa bbbbbbbg gaaaaaa bbbbbd bbd faaaa bbbbbd bbd caae bbbbbd bbb c dbbbbd bbb dbbbbb dbb dbbbbb dbb dbbbbb gbb dbbbbb bb gbbbbbg bbg gbbbbbg bbd gbbbbbg bbd gbbbbbg bbb bbbbbd bbb bbbbbd dbb bbbbbd dbb bbbbbd gbb dbbbbb bbg dbbbbb bbg dbbbbb bbd dbbbbb bbb gbbbbbg bbb gbbbbbg bbb gbbbbbg dbb gbbbbbg bbbbbd bbbbbd bbbbbd bbbbbd dbbbbd dbbbbb dbbbbb dbbbbb dbbbbb gbbbbbg gbbbbbg gbbbbbg gbbbbbg bbbbd bd ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#a71256ff b,#573be7ff c,#c2839bff d,#b44877ff e,#8c7fe5ff f,#afd6afff g,#dac8eaff ``` ```image g ggebbbbbb gebbbbbbbbbbbbbb geebbbbbbbbbbbbbbbbbbeeg ffffffffeebbbbbbbbbbbbbbbbbbbeefffffffffff eebbbbbbbbbbbbbbbbbbbeefffffffffffffffffff gebbbbbbbbbbbbbbbbbbeefffffffffffffffffffffffffff ebbbbbbbbbbbbbeeffffffffffffffffffffffffffffffffff bbbbbbegffffffffffffffffffffffffffffffffffffffffff bbbg ffffffffffffffffffffffffffffffffffffffffff bbbe fffffffffffffffffffffffffffffffffffffccfff gbbb ffffffffffffffffffffffffccddaaaaaaaaaaafff bbb fffffffffffccddaaaaaaaaaaaaaaaaaaaaaaaafff bbbe fffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddccfffff ebbb ffaaaaaaaaaaaaaaaaaaddccffffffffffffffffff bbb ffaaaaaddccfffffffffffffffffffffffffffffff bbbg ffaaafffffffffffffffffffffffffffffffffffff ebbe ffaaafffffffffffffffffffffffffffffffffffff gbbb ffaaafffffffffffffffffffffffffffffffffffff bbb ffaaafffffffffffffffffffffffffffffffffffff bbbe ffaaafffffffffffffffffffffffffffffffffffff ebbb ffaaafffffffffffffffffffffffffffffffffffff bbb ffaaafffffffffffffffffffffffffffffffffffff bbbg ffaaafffffffffffffffffffffffffffffffffffff ebbe ffaaafffffffffffffffffffffffffffffffffffff gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa ebbe aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa ebbe aad gbbb aad bbb aad bbbe aad ebbb aad bbb aad bbbg aad ebbe aad gbbb aad bbb aad bbbe aad ebbb aad bbb aac bbbg aac ebbe aac gbbb aac bbb aac bbbe caac ebbb gaaaag bbb gaaaaac eg aaaaac daaaad caaaaa caaaaag gaaaaag aaaaac aaaaad daaaad caaaaa caaaaag gaaaaac aaaaac daaaad daaaaa caaaaa gaaaaag gaaaaac aaaaac daaaad caaaaa caaaaag gaaaaag aaaac gad ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#a71256ff b,#573ae8ff c,#d897b4ff d,#bf5586ff e,#b5a8f4ff f,#8570edff g,#e9d1e3ff ``` ```image geeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg ggeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeeg geeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg geeeffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeegg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeeg bbbbbbbbbbbbbbbbbbbbbbbbbbbbffeeg bbbbbbbbbbbbbbbbbbbbffeegg bbbbbbbbbbbbffeeeg bbbbbffeeg egg ggccg gggccccdddaaaaaaaag gggccccdddaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac gdaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadddccccggg daaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddccccgg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddcccggg aaaaaaaaaaaaaaaaaaaaaaddddcccggg aaaaaaaaaddddcccggg gaaaaac gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag gaaaaag ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#a71357ff b,#573ae8ff c,#da9db9ff d,#c15988ff e,#a99af2ff f,#7c66ecff g,#e0d1eeff ``` ```image g gefbbbbbb gefbbbbbbbbbbbbb gefbbbbbbbbbbbbbbbbbbfeg gefbbbbbbbbbbbbbbbbbbfeg gefbbbbbbbbbbbbbbbbbbfeg efbbbbbbbbbbbbbbbbbbfeg ebbbbbbbbbbbbfeg bbbbbbfeg bbbg fbbf gc gbbb ggcddaaaaaaaaaaa bbb ggcddaaaaaaaaaaaaaaaaaaaaaaaa bbbe aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddccg ebbb aaaaaaaaaaaaaaaaaaddccg bbb aaaaaddccg bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aaa ebbb aaa bbb aaa bbbg aaa fbbf aaa gbbb aaa bbb aaa bbbe aad ebbb aad bbb aad bbbg aad fbbf aad gbbb aad bbb aad bbbe aad ebbb aad bbb aad bbbg aad fbbf aad gbbb aad bbb aad bbbe caad ebbb caaaac bbb gaaaaac fg aaaaad daaaad daaaaa caaaaag gaaaaac gaaaaac aaaaad daaaaa daaaaa caaaaag gaaaaac aaaaad aaaaad daaaaa caaaaag caaaaag gaaaaac aaaaad daaaad daaaaa caaaaag gaaaaac aaaac gad ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#26e1b1ff b,#a67eeeff c,#95efd8ff d,#c6adf3ff e,#cbf7ecff f,#5ae7c3ff g,#e3d7f9ff ``` ```image ggddd ggdddbbbbbbbbbbbbbbbbb ggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbdddgg gggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg gdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg ggdddggg aaac eaaaaac faaaaaaac eaaaaafaaaac faaaaae eaaaae aaaaaf eaaaae faaaaae eaaaae aaaaaa eaaaae caaaaae eaaaae aaaaaa eaaaae caaaaac eaaaae aaaaaa eaaaf eaaaaac eaf aaaaaa e eaaaaaf faaaaa eaaaaaf faaaaae eaaaaaf faaaaae aaaaaa caaaaae aaaaaa caaaaac aaaaaa caaaaac aaaaaa eaaaaac faaaaa eaaaaaf faaaaae eaaaaaf faaaaae aaaaaf faaaaae faa aaaaaa aaae caaaaac aaaa aaaaaa caaa caaaaac aaae aaaaaa aaaf eaaaaac caaa aaaaaa aaa eaaaaaf aaaffaaaaa faaaaaaaf aaaaaae aaaaf caae ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#d4d912ff b,#de0b7bff c,#eaed91ff d,#f095c5ff e,#dee250ff f,#f7e9d9ff g,#e64f9fff ``` ```image ecc aaa aaa aaa aaa aaa faaa faaa caaa caaa caaa eaaa eaae aaae aaac aaac aaac aaaf aaa aaa aaa aaa aaa aaa faaa caaa caaa caaa eaaa eaae aaae aaac aaac aaac aaaf aaaf aaa aaa aaa aaa aaa faaa faaa caaa caaa eaaa eaae aaae aaac aaac aaac caaaaaaaaaaaaaaaaaeeeccccfff aaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccfff aaaf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeaaa caaa fffcccceeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaae fffcccceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaf fffcccceeeeaaf caa dg dbbb gbbbbbd gbbbbbbb bbbbbbbg fbbbbbbbg fdbbbbbbbd ffdddgggbbbbbbbbbbbbbbbbbbbd ffdddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ffdddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddff bbbbbbbbbbbgggdddff ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#6ee1d8ff b,#a84c42ff c,#d2a49fff d,#e9d4d1ff e,#baf0ecff f,#bd776fff g,#34d5c9ff ``` ```image d bf fb cbd cbc dbf bb fb cbd dbc dbf bb fb cbd dbc bf bb fbd cbd dbc fcd bf dfbbbbfc bb cfbbbbfd fbd dcfbbbbcd cbc dcfbbbfcd dbc dcbbbbfbf g ag ege gg ege ga eg ga ag ga ag ege gg ege ga eg ga ag ge ag ege gg ege ga eg ga ag ge ag ege gg ege ga eg ga ag ge ag ege gg g ege eg ga g ag g ga g ag g ge ae ag gege ag ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#777779ff b,#c397b1ff c,#48444bff d,#efededff e,#d7c2cfff f,#b0d5b0ff g,#96ca96ff ``` ```image bd be be bb bb bb eb eb db db bd bd be be bb bb bb eb eb db b bd bd be be bb bb bb eb dddebdddddddddd dgfffbffffffffffg dffffbffffffffffg dffffbffffffffffg dffffbffffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dffffbbfffffffffg dfcaffbfffffffffg dfcaffbfffffffffg dfccffbfffffffffg dfacffbfffffffffg dfacffbffffbbbbbbed dffcffbbfbbbbffbbbbbbbed dffcafbbbbffffffg debbbbbbbe dffcafbbffffffffg debbbbbbbed dffccfffffffffffg ebbbbbbbed ggccgggggggggggf debbbbbbed bc debbbbbbbed dcd debbbbbbbed cf ebbbbbbbed ca debbbbbbbe cc debbbbbbbed ac debbbbbbbed bc debbbbbbed dc debbbd ce ca cc ac bc dcb cccccb eacccccb eacccccb eacccca eacccd bcccd bccce facd eccce fcccccae ecccb bcccccae dcccb bcccccae dccca bcccccae acca bcccccae acca dbcccccae acccd dacccccad bccceacccccad bccccad ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#78757aff b,#c693b1ff c,#49454cff d,#f1e7edff e,#dfc9d6ff f,#cbabbeff g,#949296ff ``` ```image dbbf dbbf dbbb bbb bbbd fbbd fbbd fbbe ebbe ebbe ebbf dbbf dbbf dbbb bbb bbbd fbbd fbbd fbbe d ebbe gcce ebbe accf ebbf gccg dbbf fcca dbbf eccc dbbb cccd bbb ccce bbbd accf fbbd dd gccg fbbd dfbbbfee fcca fbbe efbbbbbbbb eccc ebbe ebbbbbbbbbbb dcccd ebbe debbbbbbed deef ccce ebbfebbbbbbe accf dbbbbbbbbe gccg dbbbbbfe fcca bbbfd eccc ded dcccd ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#6f6c71ff b,#c694b1ff c,#48444bff d,#eadee5ff e,#d6bbcbff f,#b2b0b3ff g,#918e92ff ``` ```image ed be be bb bb bb eb eb db b bd bd be be bb bb bb eb db db b bd bd be be bb bb eb eb db db b bd bd be be bb bb eb eb cf db ca db cc b ac bd fc bd bbbbbbed cd be bbbe debbbbbbed cf bbbbd debbbbbbbd ca bbd debbbbbbbed cc dbbbbbbbed ac debbbbbbed fc debbbbbbbe dc ebbbbbbbed cf debbbbbbed ca debbbbbbed cc debbbbbbbe ac ebbbbbbbed fc debbbbbbed dc debbbd cf cg cc ac fc dcf cccccf eacccccf eacccccf eacccca eaccc gcccd fcccd facd eccce faccccae dcccf fcccccae dcccg fcccccae cccg fcccccae acca gcccccae acca gcccccgd gccc dgcccccgd gcccdgcccccgd fccccgd ```

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This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#8995efff b,#d57f85ff c,#b8bff5ff d,#e3b2b4ff e,#ebeaf1ff f,#b0d5b0ff g,#98c797ff ``` ```image fffffffffffffffg fffffffffffffffg fffffffffffffffg ffaaabbbbbbbbbbbddddeee ffaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddeee fffaadbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddde fffaaffffffffffg eeedddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd fffaaafffffffffg eeeddddbbbbbbbbbbbbbb fffaaafffffffffg bbb fffaaafffffffffg dbb ffffaafffffffffg dbb ffffaafffffffffg bbe ffffaaaffffffffg bbd gfffaaaffffffffg bbb eeeeaaaeeeeeeee bbb caa dbb eaae ebb aac bbe aaa bbd aaa bbb caa bbb eaae dbb aac ebb aaa bbd aaa bbd caa bbb eaae bbb aac dbb aaa ebbe aaa bbd eaae bbb b aaa bbb bbb aaa bbbeeeeeeeeeeedbbb caa gbbffffffffffgbbb aac gbbffffffffffbbbe aaa gbbdffffffffbbbge caa gbbbfffffffbbbbfe eaae gbbbffffffbbbbffe aaa gbbbffffffbbbfffe aaa gfbbfffffbbbffffe caa gfbbffffbbbfffffe aac gfbbbffbbbbfffffe aaa gfbbbfbbbbffffffe caa gfbbbfbbbfffffffce aac aae gfbbbbbbfffffffaaa aaa aaaaac gffbbbbffffffaaaaa aaa aaaaaaaa gffbbbdffffaaaaac eaae eaaecaaaaaac gffbbbfffaaaaaafe aac aaa eaaaaaaa gfffdffaaaaaafffe aaa aac caaaaaae gffffaaaaaafffffe caa caa eaaaaaac gfffaaaaafffffffe aac aaa caaaaaae fgaaaaaggggggggg aaa aac eaaaaaac eaaaaae aaa caa caaaaaae aaaaac eaae aaa eaaaaaaaaaac aaa eaac aaaaaaa aaa aaa caa caa aaa aac caae aaa aaa caa aac eaae caa aaa aaa aaa aac eaae caa aac aaa aaa eaae caa aaa aac aaa aaa caae aaa aaa eaae aac aac caa aaa aaa caa aac aac caa aaa aaa caaeaae eaaaaa aaaaa aaaae caaa aac ca ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#8994efff b,#d67e85ff c,#bac0f4ff d,#eecccfff e,#ebe6f3ff f,#e3a7abff g,#ab8fc4ff ``` ```image fbbbgffffffddddddeee ggaaabbbbbbbbbbbbbbbbbbbbb aaaaagbbbbbbbbbbbbbbbbbbbb aaaaagbbbbbbbbbbbbbbbbbbbb gaaaagbbbbbbbbbbbbbbbbbbbb caaaaadffffffbbbbbbbbbbbbb eaaaaae eeedddd aaaaae aaaaac caaaac caaaaa eaaaaae aaaaae aaaaac caaaac caaaaa eaaaaa aaaaae aaaaac caaaac caaaaa ```  I had hoped to find an intersection in area A, but there isn't one. Alright, let's concentrate on the next area. Eureka! Let's inspect this close up of area B  ```palette Key,Color ,#fefefeff a,#8995f0ff b,#d67d84ff c,#bfc5f6ff d,#f2d7d9ff e,#f3edf4ff f,#df9aa0ff g,#e8babdff ``` ```image gbbbbf dbb gbbbbf dbbb dbbbbb ebbbb ebbbbbd fbbbb bbbbbd gbbbbb fbbbbg gbbbbbb gbbbbf dbbbbbbg gbbbbb ebbbbbbf dbbbbbe fbbbbbf ebbbbbd fbbbbbbe bbbbbg gbbbbbbd fbbbbg dbbbbbbg gbbbbf ebbbbbbf dbbbbb fbbbbbf dbbbbbe fbbbbbbe bbbbbd gbbbbbbd fbbbbg dbbbbbbg fbbbbg ebbbbbbg gbbbbf efbbbbbf dbbbbb fbbbbbbe ebbbbbe gbbbbbbd bbbbbddbbbbbbd fbbbbfbbbbbbg fbbbbbbbbbbf ca gbbbbbbbbbbe eaaa dbbbbbbbbbe ecaaaa ebbbbbbbbd ecaaaaaa bbbbbbbg ecaaaaaaaa fbbbbbf caaaaaaaaaa gbbbbfe caaaaaaaaaace ebbbbe eaaaaaaaaaace egge eaaaaaaaaaaae ecaaaaaaaaaac ecaaaaaaaaaac caaaaaaaaaac caaaaaaaaaace caaaaaaaaaace ```  After careful examination, I've determined that there's no intersection in area B. Answer: A: 0; B: 0; 0 + 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#8894efff b,#d67d84ff c,#c7ccf7ff d,#efced1ff e,#e9e8f7ff f,#e3a8acff g,#a8b0f2ff ``` ```image gaabbbbbbbbbbffffddde aaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffddde caaffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffddd aae eedddfffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd aag edddffffbbbbbbbbbbbbb aaa bbb gaa fbb caa dbb aae bbd aag bbf aaa bbb aaa bbb caa fbb eaae dbb aag bbd aaa bbf aaa bbb caa bbb eaae fbb aag dbb aaa bbd aaa bbf caa bbb eaae bbb aac fbb aaa ebbe gaa bbd eaae bbb b aag bbb bbb aaa fbb fbbb caa dbb ebbb aac ebbe bbb aaa bbf bbbd gaa bbb bbbf eaae bbb fbbb aaa fbb dbbb aaa dbb bbb caa bbd bbbd aag bbf bbbf aaa bbb fbbb gaa bbbdbbb ce aac aae fbbbbb caaa aaa aaaaac dbbbbe eaaaaa aaa aaaaaaag bbbf aaaaac eaae caaecaaaaaac bbb aaaaag aag aaa eaaaaaag ed gaaaag aaa aag gaaaaaac gaaaaa caa caa eaaaaaag caaaaa aac aaa gaaaaaae eaaaaae aaa aac eaaaaaag eaaaaac gaa gaa gaaaaaae aaaaac eaae aaa caaaaaaaaaag aag eaac gaaaaag aaa aaa caa caa aaa aac caae aaa aaa gaa aag eaac caa aaa aaa aaa aac caae gaa aag aaa aaa eaac gaa aaa aac aaa aaa caae aaa aaa eaae aag aag gaa aaa aaa caa aac aac gaa aaa aaa gaaeaac eaaaaa aaaaa aaaae caaa aag ga ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#ba9987ff b,#e780a4ff c,#e7c9ccff d,#e2628fff e,#f4e5e7ff f,#cab2a4ff g,#eda0bbff ``` ```image fa aae aac aaf eaaaa faaaaa aaaf aa caaae aa aaaf aae caaae fac aaaa caf eaaac eaa faaa aa eaaac aa faaa aa aaaf aae faaae fac aaaf caf caaae eaa aaaa aa caaac aa aaaa aa fac eaaac aae caaaa faaa fac eaaaae eaaaf caf eaaaae faaaa eaa aaaac faaaaaf aa faaaf faaaaafe aa faaaf efaaaaafe aa caaaa eaaafe aae caaaae f fac eaaaae caf aaaac eaa faaaf aa faaaf aa caaaa aa caaaa aaeeaaaae faaaaac caaac af bbc dg gddddddbc cddg ddgdddddddddbc cddg ddb egdddddddddbc cddg gdd egdddddddddbc cddg edde egdddddddddbc cddg ddb egddddddd cddg bdd egdg cddg edd cddb ddg cddb ddd cddb cdd cddb ddc cddb ddd eddb gdd eddb dde eddb ddb eddb bdd eddb edde eddb ddg eddb bdd eddb cdd eddb ddg eddb ddd eddb cdd eddb ddc eddb ddb eddb gdd eddb edde eddb ddb eddbbdd edddde eddg g ```

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Alright, let's get to work and investigate this image for intersections. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#89d248ff b,#7178c7ff c,#9dd08dff d,#6bca0fff e,#e8f0e9ff f,#b1d8b0ff g,#a0a8d4ff ``` ```image gbg gbbbbb ebbbbbbe ebbbbbbe gbbbbbg ebbbbbg ebbbbbbe eeeeeeeeeeeeeeeeeegbbbbbg ecffffffffffffffgbbbbbg efffffffffffffbbbbbbc effffffffffbbbbbbgffc efffffffgbbbbbbfffffc efffffbbbbbbffffffffc effbbbbbbgfffffffaffc gbbbbbgfffffffffdddfc ebbbbbbfffffffffffddddfc ebbbbbbgffffffffffffdddddcc gbbbbbg effffffffffffdddfaddc ebbbbbg effffffffffcdddfffddc ebbbbbbe efffffffffcdddffffdda gbbbbbg effffffffcdddfffffadd gbbbbg efffffffcdddfffffffdd gbbbbe effffffcdddffffffffddf bbbbbe efffffcdddfffffffffadd bbbbbe effffaddafffffffffffdd ebbbbb efffaddaffffffffffffddf ebbbbb effaddafffffffffffffadd ebbbbg efaddaffffffffffffffcdd gbbbbg eaddafffffffffffffffcddf gbbbbg addcffffffffffffffffccdd gbbbbe addcfffffffffffffffffc dd bbbbbe addcffffffffffffffffffc ddc gbbbbe dddffffffffffffffffffffc fdd bb dddeefffffffffffffffffffc dd ddde efffffffffffffffffffc ddc ddde efffffffffffffffffffc fdd ddde efffffffffffffffffffc dd ddd cccccccccccccccccccf ddc ddd fdd ddd dd ddd ddc ddd fdd eddd dd eddd ddc eddd fdd eddd dd eddd dda fdda fdd fdda dd fdda dda cdda edd cdda dd cddc dda addc edd addc dde addf ada addf edd dddf dde ddde ada ddde edd ddde dde ddde ada ddde edd ddd dde ddd ada ddd edd ddd dde ddd ada eddd edd cdd dde c add dd dde add dd ddf cdd dd ddf cdd ae ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#88d43eff b,#7177c7ff c,#a9df73ff d,#6bca0fff e,#d0d2ecff f,#d5efbcff g,#a1a5daff ``` ```image egb egbbbb egbbbbbb egbbbbbbbbb egbbbbbbbbbbbg ebbbbbbbbbbbge egbbbbbbbbbbbe egbbbbbbbbbbbge gbbbbbbbbbbbge egbbbbbbbbbbge egbbbbbbbbbbbge gbbbbbbbbbbbge egbbbbbbbbbbge cac egbbbbbbbbbbbg cdddc bbbbbbbbbbbge cddddd bbbbbbbbge addddddf bbbbbbe adddddddc bbbge addddddddd ge adddddcddddf adddddf ddddc adddddf cdddd adddddf fddddf adddddf ddddc fadddddf cdddd fddddddf fdddd fddddddf addd fddddddf cddd fddddddf fddd fdddddaf add fddddda cdd fddddda fdd fddddda ad fddddda cd fddddda fd cddddda a cddddda c cddddda f cdddddc cdddddc cdddddc cdddddc adddddc adddddc adddddc dddddf ddddf dddf ddf df f ```  There is no intersection present within area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#8ad541ff b,#7177c7ff c,#b2e382ff d,#6bca0fff e,#ccceeaff f,#daf1c4ff g,#a0a4d9ff ``` ```image gbg gbbbbb ebbbbbb bbbbbbe gbbbbbg ebbbbbg bbbbbbe gbbbbbg ebbbbbg ebbbbbbe gbbbbbe ebbbbbg ebbbbbb gbbbbbe a gbbbbbg ddd ebbbbbb dddd bbbbbbe dddddf gbbbbbg ddd cdd ebbbbbg fddd dd bbbbbbe fddd ddf ebbbbbg fddd cdd gbbbbg fdda dd gbbbbe fdda ddf bbbbbe cdda cdd bbbbb cdda dd bbbbb cdda ddc ebbbbb cddc cdd ebbbbg addc dd ebbbbg addc ddc gbbbbe addc cdd gbbbbe addf dd bbbbbe addf ddc gbbbb dddf cdd bb dddf dd dddf ddc ddd cdd ddd dd ddd ddc ddd fdd ddd dd ddd ddc ddd fdd ddd dd ddd ddc fddd fdd fddd dd fddd ddc fdda fdd fdda dd cdda dda cdda fdd cdda dd cddc ada addc fdd addc dd addc ada addf fdd addf dd dddf ada dddf fdd dddf ddf ddd ada ddd dd ddd ddf ddd ada ddd dd ddd ddf ddd ada ddd dd cdd ddf c ada dd ddf add dd ddf cdd dd ddf cdd af ```

[ "" ]

Based on a first glance, I suspect there could be intersection regions here. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#49c796ff b,#e8f3beff c,#b2d8b2ff d,#6dcea3ff e,#eef7eeff f,#94cb98ff g,#a5d2a8ff ``` ```image caac daaaaac aaaaaaaaae eaaaa caaaaae caaad caaaad aaaae daaaad aaaa daaaag baaad aaaaac daaac eaaaaae aaaae eaaaaae eaaaa caaaaa caaad gaaaad daaac daaaad aaaa daaaac eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaaaaeeeeeeeeeee eaaaaac egggggggggggggggggggggggggggggggdaaafbbbbgggggggf eaaaa egcccccccccccccccccccccccccccccaaaabbbbbbbbcccccf cag egcccccccccccccccccccccccccccgaaaabbcccbbbbbbbccf egccccccccccccccccccccccccccdaaadbbccccccbbbbbbbg egcccccccccccccccccccccccccaaaafbbbcccccccccbbbbbbe egccccccccccccccccccccccccaaaacbbbccccccccccccbbbbbbb egccccccccccccccccccccccgaaaaccbbbccccccccccccccgbbbbbbe egcccccccccccccccccccccfaaadccbbbcccccccccccccccf bbbbbbb egcccccccccccccccccccccaaagcccbbbcccccccccccccccf ebbbbbbe egccccccccccccccccccccaaagcccbbbccccccccccccccccf bbbbbbb egcccccccccccccccccccdaadccccbbbccccccccccccccccf ebbbbbbe egccccccccccccccccccgaaaccccbbbcccccccccccccccccf bbbbbbb egccccccccccccccccccaaacccccbbccccccccccccccccccf ebbbbbbe egcccccccccccccccccaaafccccbbbccccccccccccccccccf ebbbbbbe egccccccccccccccccfaaaccccbbbcccccccccccccccccccf bbbbbbb egccccccccccccccccaaacccccbbbcccccccccccccccccccf ebbbbbbe egcccccccccccccccaaagccccbbbccccccccccccccccccccf bbbbbbb egccccccccccccccdaadcccccbbbccccccccccccccccccccf ebbbbb egcccccccccccccgaaacccccbbbcccccccccccccccccccccf bbb egcccccccccccccaaaccccccbbbcccccccccccccccccccccf egccccccccccccdaadcccccbbbccccccccccccccccccccccf egcccccccccccgaaaccccccbbbccccccccccccccccccccccf egcccccccccccaaaccccccbbbcccccccccccccccccccccccf egccccccccccaaagccccccbbccccccccccccccccccccccccf egcccccccccdaaaccccccbbbccccccccccccccccccccccccf egcccccccccaaaccccccbbbcccccccccccccccccccccccccf egccccccccaaagccccccbbbcccccccccccccccccccccccccf egcccccccdaadccccccbbbccccccccccccccccccccccccccf egccccccgaaacccccccbbbccccccccccccccccccccccccccf egccccccaaacccccccbbbcccccccccccccccccccccccccccf egcccccaaafcccccccbbbcccccccccccccccccccccccccccf egccccfaaacccccccbbbccccccccccccccccccccccccccccf egccccaaaccccccccbbbccccccccccccccccccccccccccccf egcccaaagcccccccbbbcccccccccccccccccccccccccccccf egccfaadccccccccbbbcccccccccccccccccccccccccccccf egccaaaccccccccbbbccccccccccccccccccccccccccccccf egccaaacccccccbbbcccccccccccccccccccccccccccccccf egccaadcccccccbbbcccccccccccccccccccccccccccccccf egccaagccccccbbbccccccccccccccccccccccccccccccccf egcfaacccccccbbbccccccccccccccccccccccccccccccccf egcdaaccccccbbbcccccccccccccccccccccccccccccccccf egcaaaccccccbbbcccccccccccccccccccccccccccccccccf egcaadcccccbbbccccccccccccccccccccccccccccccccccf egcaafcccccbbbccccccccccccccccccccccccccccccccccf eggaacccccbbbcccccccccccccccccccccccccccccccccccf egdaacccccbbbcccccccccccccccccccccccccccccccccccf egaaaccccbbbccccccccccccccccccccccccccccccccccccf egaaacccbbbcccccccccccccccccccccccccccccccccccccf egaadcccbbbcccccccccccccccccccccccccccccccccccccf egaagccbbbccccccccccccccccccccccccccccccccccccccf edaacccbbbccccccccccccccccccccccccccccccccccccccf eaaaccbbbcccccccccccccccccccccccccccccccccccccccf eaaaccbbbcccccccccccccccccccccccccccccccccccccccf eaadcbbbccccccccccccccccccccccccccccccccccccccccf eaagcbbbccccccccccccccccccccccccccccccccccccccccf caacbbbcccccccccccccccccccccccccccccccccccccccccf daacbbbcccccccccccccccccccccccccccccccccccccccccf aaabbbccccccccccccccccccccccccccccccccccccccccccf aadbbcccccccccccccccccccccccccccccccccccccccccccf aacbbcccccccccccccccccccccccccccccccccccccccccccf eaabbccccccccccccccccccccccccccccccccccccccccccccf gaabbccccccccccccccccccccccccccccccccccccccccccccf aaabcccccccccccccccccccccccccccccccccccccccccccccf bbbcccccccccccccccccccccccccccccccccccccccccccccf bbbggggggggggggggggggggggggggggggggggggggggggggggf bbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#49c796ff b,#eaf5bfff c,#ace5ccff d,#67cfa5ff e,#cff0e3ff f,#f2f9e3ff g,#87d9b7ff ``` ```image caaaaaadbbbf gaaaaaagbbbbbbbf daaaaaacbbbbbbbbbbf gaaaaaadbb fbbbbbbbbbbbf fdaaaaaagbbf fbbbbbbbbbbbf eaaaaaaacbbb fbbbbbbbbbbbf caaaaaadbbbbf fbbbbbbbbbb gaaaaaagbbbbb bbbbbbbbb eaaaaaaafbbbbb ffbbbbbb caaaaaadebbbbbf fbbbb fdaaaaaac fbbbbf f eaaaaaaae bbbbb aaaaaadf fbbbbf caaaaaa bbbbb eaaaaaac fbbbbf daaaade bbbbb eaaaaaf bbbbb daaaae fbbbb gaaaag fbbbbb caaaaa bbbbbb aaaaaa fbbbbbf aaaaac bbbbbb caaaad bbbbbf daaaac fbbbbf gaaaag bbbbb eaaaadf fbbbbf faaaaae bbbbb gaaaag fbbbb caaaaa fbbbbf eaaaaaa bbbbb aaaaag bbbbb eaaaaaf fbbbbb daaaae bbbbbb gaaaag bbbbbf caaaad bbbbb faaaaae fbbbbf caaaad fbbbbf eaaaaaf fbbbbf daaaaa bbbbb aaaaag fbbbbf eaaaad bbbbb faaaaae fbbbbf daaaag bbbbb eaaaaae bbbbbb daaaac bbbbbf gaaaag bbbbb eaaaaaf fbbbbf daaaaa bbbbf aaaaag bbbbb faaaaae bbbbb daaaac fbbbbf caaaad bbbbb eaaaaaf fbbbbf daaaac bbbbb gaaaag fbbbbb eaaaaa bbbbbb daaaaac bbbbbf aaaaad bbbbb eaaaaae fbbbbf daaaac bbbbb caaaag fbbbbf gaaaaf bbbbb daaac fbbbbf eaaaa fbbbbf caaad bbbbb gaaag fbbbbf daaac bbbbb aaaae bbbbbb eaaaa bbbbbf gaaag fbbbbf daaac bbbbb aaaae fbbbbf faaaaf bbbbb eaaaa fbbbbf caaaa bbbbb gaaaa fbbbbf aaaaa bbbbb eaaaaa fbbbbb caaaad bbbbbb gaaaag bbbbbf daaaac bbbbb aaaaae fbbbbf aaaad fbbbbf aaaag bbbbb aaaac fbbbbf aaaae bbbbb faaaaf bbbbb eaaaa fbbbbf caaag bbbbb daaac bbbbbb aaaae fbbbbbf eaaaa bbbbbb caaad bbbbbf gaaag bbbbb daaac fbbbbf aaaae bbbbb caaad fbbbbf gaaag bbbbb daaacfbbbbf aaaaebbbbb aaaafbbbbf aaaabbbbb aaagbbbbb aaacbbbbf aaabbbbb aaabbbb aaabbbf aaabbb aaabbf gdabf bbbb bbbf ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#4ac796ff b,#eaf5bfff c,#bae9d7ff d,#73d3acff e,#dcf3eaff f,#f4f9dfff g,#97dec1ff ``` ```image caag daaaaac aaaaaaaaae eaaaa caaaaa gaaad gaaaaa aaaac daaaad aaaa daaaag caaaa aaaaac daaag eaaaaae aaaae eaaaaae eaaaa caaaaa gaaad gaaaad aaaac daaaad aaaa aaaaag caaaaf aaaaac daaadbbbb eaaaa aaaabfbbbbbbf cag eaaaabb bbbbbbf gaaadbbf fbbbbbbf daaacbbb fbbbbbbf aaaa bbb fbbbbbb eaaaa bbb fbbbbbbf caaag bbb bbbbbbb aaae bbb fbbbbbbf aaae bbb bbbbbbb daag fbbf fbbbbbbf eaaa bbb bbbbbbf aaa fbbf fbbbbbbf daac bbb fbbbbbbf caaa fbbf fbbbbbb aaa bbb fbbbbbbf aaae bbb bbbbbbb gaad bbb fbbbbb aaa bbb bbb aaa bbb daag bbb eaaa bbf aaa bbb aaae fbbf caad bbb aaa fbbf aaae bbb daag bbb eaaa bbb aaa bbb aaac bbb caaa bbb aaa bbf aaae bbb caad fbbf aaa bbb aaa fbbf aag bbb aae bbb caa bbb daa bbb aaa bbb aad bbb aac bbf eaa bbb gaa fbbf aaa bbb aad fbbf aag bbb eaae fbb gaa bbb aaa bbb aaa bbb aag bbb aae bbb caa bbb daafbbf aaabbb aadbbf aagbb eaabb gaabb aaab bbb bbb bb ```

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Based on a first glance, I suspect there could be intersection regions here. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#648aadff b,#bd1076ff c,#b89fa3ff d,#b1d7b1ff e,#95c996ff f,#b85b8cff g,#8db2b0ff ``` ```image dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddddfddddddddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddddbbbfddddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddfbbbbbdddddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddddbbbbbbbcdddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddddbbbbbbbbbbddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddfbbbcdcbbbbbcddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddddbbbbddddbbbbbbdddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddddbbbbddddddfbbbbbcdddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddfbbbcddddddddbbbbbfddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddddbbbbddddddddddfbbbbbdddddddddddddddddddddddde dddddddddddddddddddddddddddddddddddddbbbbddddddddgaaddbbbbbfdddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddfbbbcddddddddaaaagdfbbbbbddddddddddddddddddddde ddddddddddddddddddddddddddddddddddddbbbbddddddddaaaaaaadcbbbbbfddddddddddddddddddde dddddddddddddddddddddddddddddddddddbbbbddddddddgaaaaaaaaddbbbbbbdddddddddddddddddde ddddddddddddddddddddddddddddddddddcbbbcddddddddaaaadaaaaaddcbbbbbcdddddddddddddddde ddddddddddddddddddddddddddddddddddbbbbddddddddaaaadddaaaaagddbbbbbbddddddddddddddde dddddddddddddddddddddddddddddddddbbbbddddddddgaaadddddgaaaagddfbbbbbcddddddddddddde ddddddddddddddddddddddddddddddddcbbbfddddddddaaaaddddddgaaaaadddbbbbbfdddddddddddde ddddddddddddddddddddddddddddddddbbbbddddddddaaaadddddddddaaaaadddfbbbbbddddddddddde dddddddddddddddddddddddddddddddbbbbddddddddgaaagddddddddddaaaaaddddbbbbbfddddddddde ddddddddddddddddddddddddddddddcbbbfddddddddaaaaddddddddddddaaaaagdddfbbbbbdddddddde ddddddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddgaaaaadddcbbbbbfdddddde dddddddddddddddddddddddddddddfbbbddddddddgaaagddddddddddddddddaaaaaddddbbbbbbddddde dddddddddddddddddddddddddddddbbbfddddddddaaaaddddddddddddddddddaaaaaddddcbbbbbcddde ddddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddaaaaagddddbbbbbbdde dddddddddddddddddddddddddddfbbbcdddddddgaaagdddddddddddddddddddddgaaaagddddcbbbbbde dddddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddgaaaaadddddbbbdde ddddddddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddaaaaadddddfddde dddddddddddddddddddddddddfbbbcdddddddgaaagdddddddddddddddddddddddddddaaaaadddddddde dddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddaaaaagdddddde ddddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddgaaaaaddddde dddddddddddddddddddddddcbbbcdddddddgaaagdddddddddddddddddddddddddddddddddaaaaadddde dddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddaaaaaddde ddddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddaaaaagde dddddddddddddddddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddgaaagde dddddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddgaadde ddddddddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddcbbbfddddddddaaagdddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddfbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddddbbbfddddddddaaagdddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddfbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddddbbbfddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddfbbbcdddddddgaaadddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddfbbbcdddddddgaaadddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddcbbbcdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddddbbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddcbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddfbbbddddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddddbbbfdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddfbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddbbbbdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddbbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dfbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dbbbbdddddddgaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cbbbcdddddddaaaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde bbbbddddddddaaaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cbbbfeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed cbb aaag aaaa gaaa aaaag aaaaaa aaaaaaa aaaaaaad aaaaaaad aaaaad gaad d ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#648aadff b,#be0f76ff c,#e8add0ff d,#9eb5ccff e,#e2dde9ff f,#c93b8eff g,#d974afff ``` ```image cc gbbf ebbbbbf fbbbbbbg cbbbbbbbbf bbbbbbbbbbbf cbbbbgfbbbbbbc gbbbbb cbbbbbbbf bbbbbg ebbbbbbbg gbbbbe ebbbbbbbg cbbbbb gbbbbbbbf bbbbbe gbbbbbbbf ebbbbg cfbbbbbbc gbbbbb dad cbbbbbbbc bbbbbg daaaa ebbbbbbbg cbbbbc eaaaaaad ebbbbbbbg ebbbbb daaaaaaa gbbbbbbbe bbbbbc aaaaaaaaaaa gbbbbbbbe ebbbbf aaaaaaaaaaae cbbbbbbbc cbbbbb aaaaa daaaaaa cbbbbbbbc bbbbbf daaaaa aaaaaaae fbbbbbbb cbbbbg aaaaa aaaaaad fbbbbbbb fbbbb daaaae daaaaaad gbbbbbbfe bbbbbg aaaaaa aaaaaaae gbbbbbbfe bbbbf aaaaae eaaaaaaa fbbbbbbb gbbbbc eaaaad aaaaaad gbbbbbbfe fbbbbf daaaaa eaaaaaae gbbbbbbb bbbbbc aaaaad aaaaaaae bbbbbbbfc fbbbb daaaae aaaaaad bbbbbbbfe cbbbbb eaaaaa daaaaaad efbbbbbbb fbbbbbe aaaaae aaaaaaae efbbbbbbb bbbbbc eaaaad daaaaaa gbbbbbbfe gbbbbb daaaaa eaaaaaaa gbbbbbbg cbbbbbc aaaaad eaaaaaae bbbbbbbf bbbbbe daaaae daaaaaa bbbbbbf cbbbbb eaaaaa aaaaaad efbbbbe gbbbbbe aaaaae eaaaaaaa efbf bbbbbg aaaad daaaaaad be gbbbbc eaaaaa aaaaaaae ebbbbb aaaaad eaaaaaaae bbbbbc eaaaad daaaaaad ebbbbg aaaaa daaaaaad cbbbbb aaaaad aaaaaaae bbbbbf aaaaa daaaaaa cbbbbc eaaaaa eaaaaaaa bbbbb aaaaaa eaaaaaae gbbbbb aaaaae daaaaaa bbbbf aaaaa aaaa gbbbbe daaaaa eaad fbbbbf aaaaa e bbbbbe daaaae fbbbb aaaaaa gbbbbb aaaaae bbbbb daaaa cbbbbc daaaaa fbbbbb daaaaa bbbbbc aaaaae gbbbbe daaaaa cbbbbb eaaaaae bbbbbe aaaaae cbbbbg eaaaaa gbbbbb daaaaae bbbbbg aaaaad gbbbbc daaaae ebbbbb eaaaaa fbbbbf aaaaaa ebbbbg eaaaad fbbbb aaaaa bbbbbf aaaaad bbbbbe aaaaa bbbbb eaaaaa gbbbbb aaaaaa fbbbbf eaaaad bbbbbe aaaaa fbbbbf aaaaad gbbbbbe aaaaa bbbbb eaaaaa gbbbbb daaaaa fbbbbf eaaaad bbbbbc daaaae fbbbbe aaaaad cbbbbb aaaaae bbbbbe aaaaa cbbbbc daaaaa gbbbbb aaaaa bbbbbg daaaae bbbbf eaaaaa cbbbbb aaaaae fbbbbf eaaaad ebbbbg daaaaa fbbbb aaaaad bbbbbg daaaae bbbbb eaaaaa bbbbb aaaaae bbbbb eaaaad bbbf daaaaa ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#6389adff b,#be1076ff c,#e39bc6ff d,#bdcddcff e,#e9dfebff f,#d0549dff g,#8da9c3ff ``` ```image c bbbf fbbbbb ebbbbbbbc bbbbbbbbbb fbbbe cbbbbbc bbbf bbbbbb bbbb cbbbbbe cbbbe bbbbbf bbbb fbbbbbe bbbb gaaeebbbbbf cbbbc eaaaad fbbbbb bbbb aaaaaag ebbbbbc bbbb gaaaaaaaa bbbbbb cbbbc aaag aaaaa cbbbbbc bbbb aaaa aaaaae bbbbbb bbbb gaaae gaaaag cbbbbbe ebbbc aaag eaaaaa bbbbbf bbbb aaaa aaaaa fbbbbbe fbbb daaae aaaaae ebbbbbf ebbbf aaaa gaaaad fbbbbb bbbb aaaa daaaag ebbbbbc fbbbe daaad eaaaaa bbbbbb ebbbf aaaa aaaaa cbbbbbc bbbb aaaa aaaaae bbbbbb fbbbe daaad gaaaag cbbbbf bbbf aaaa eaaaaa bbb bbbb aaaa aaaaa fe cbbbe daaad aaaaae bbbb aaaa gaaaad bbbb aaaa daaaag cbbbc daaad eaaaaa bbbb aaaa aaaaa bbbb aaaa aaaaae cbbbc eaaad gaaad bbbb aaaa eag bbbb gaaa ebbbf eaaag bbbb aaaa fbbb gaaa ebbbf eaaag bbbb aaaa fbbbe gaaae bbbf eaaag bbbb aaaa fbbbe gaaae bbbb aaag bbbb aaaa cbbbc gaaae bbbb aaag bbbb aaaa cbbbc daaae bbbb aaaa bbbb aaaa ebbbc daaad bbbb aaaa fbbb aaaa ebbbf daaad bbbb aaaa fbbbe aaaa ebbbf daaad bbbb aaaa fbbbe aaaa bbbf eaaad bbbb aaaa cbbbe aaaa bbbb eaaag bbbb aaaa cbbbc gaaa bbbb eaaag bbbb aaaa cbbbc gaaa cbb eaaag aaaa gaaae aaaag aaaaaa aaaaaaa aaaaaaad aaaaaaad aaaaad gaad d ```

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No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#b3af5dff b,#ed3043ff c,#9b9629ff d,#f69da6ff e,#f0e1d4ff f,#f0606eff g,#cecb96ff ``` ```image e dbf edbbf dbf dbbbfe ebbd ebb dfbbfd dbbd ebbe dfbbfd dbbe bbe eddfbbbbbfd f fbd edffbbbbbfde dbd edfbbbbbffde dbfbbbbbfdde a cc ec c gc c ca c ece c gc c ca c ece c ac c ca c ece c ac c cg c ece c ac c cg c c gc c ce ac c ec cg c gc gc c ac ca c ca ce c cg gc c ce ca c ec ece c gc ac c ac ca c aa ece c cg ac c ce cg c ce ece c ec g c ec c ec c gc c ac c aa c ca c cg c cg a ce a ce a c a ec a ec a gc a gc a aa aca ag ```

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It's clear from this image that there are no line intersections.

0

```palette Key,Color ,#fefefeff a,#79bff9ff b,#a6ddeeff c,#5dcfcdff d,#4fabf8ff e,#c6e8f5ff f,#7cd8d6ff g,#e4f4f9ff ``` ```image ebg bdddddddae bdb gbaddddddabg adb geadddddddae ade ebaddddddabg ade geadddddd adg edda ddg bddg dd dda dd gdde dd add dd gddb dd bdd dd dda gdd eddg gdd ada gda gdde da add de ddb d bddg ed dda ad edde da add db gd d gd bd dd db dg d bd ad da b de ccc d eccgcc ed bcf cc ad cce cc da cc cc de gcc cc g bcf c fce ccg gcc bcf fcb ccg gcc gb ecf gcc fcb cfcg ccg cc cf cc cc bc ecc cc cg fcf fc cf cce fcg bc cc bcg c gcc ece cb bcf gcb fc cce gcf gc ccg cf cb gcc cc fc bcf cc gc fcb cc ce ccg fc ccgcc fcg eccf bcg cb ece gcb gcf cf cc cc cc fc fcg bcg ece gcb cf g ```

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