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oliveirabruno01
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intersection-count-pixmap-CoT

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I have a feeling there might be some intersections in this image. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#957cceff b,#93511fff c,#b99b7bff d,#b4a7d9ff e,#e6dfedff f,#b2d6b1ff g,#96c897ff ``` ```image gfffffffffffffffffffffffg gfffffffffffffffffffffffg gfffffffffffffffffffcbffg gfffffffffffffffcbbbbbffg gfffffffffffcbbbbbbbbbgfg gfffffffcbbbbbbbbbbbbcffg gfffcbbbbbbbbbbbbcffffffg cbbbbbbbbbbbbcffdffaadffg cbbbbbbbbbbbbcfffffaaafaaaffg cbbbbbbbbbbbbcfffffffdaaaafaaaffg cbbbbbbbbbbbbcffffffffffaaaaaafaaaffg cbbbbbbbbbbbbc gffffffffffaaaaaaadaaaffg cbbbbbbbbbbbbc gffffffffdaaaaaaaadaaaffg ecbbbbbbbbbbbbc gfffffffaaaaadfaaaaaaaffg ecbbbbbbbbbbbbc gffffffaaaaafffdaaaaaaffg ecbbbbbbbbbbbbc fgggggaaaaagggggaaaaaaggf ecbbbbbbbbbbbbc daaaad eaaaaaa ecbbbbbbbbbbbbc aaaaae eaaaaaa ecbbbbbbbbbbbbc eaaaaa aaaaad cbbbbbbbbbbbc daaaad aaaaad ebbbbbbbbc aaaaae aaaaad bbbbbc eaaaaa aaaaae ebbb daaaad aaaaae bbbb aaaaae aaaaae fbbb aaaaa aaaaa bbbc eaaaaa aaaaa cbbb daaaae aaaaa bbbc aaaaa aaaaa cbbb eaaaaa aaaaa bbbc daaaad daaaa bbbb aaaaae daaaa bbbf eaaaaa daaaa bbbb daaaad eaaaa ebbbe aaaaae eaaaa bbbb eaaaaa eaaaa ebbbe daaaad aaad bbbb aaaaae aaad ebbb aaaaa aaad bbbb eaaaaa aaae ebbb daaaae aaae bbbb aaaaa aaae ebbb eaaaaa aaa bbbb daaaad aaa ebbb aaaaae de bbbb eaaaaa ebbbe aaaad ebb aaaae daaa eaaad aaaa aaaa daaae eaaad aaaa aaaa daaae aaad aaaa aaaa eaaae aaaa aaaa daaa eaaad aaaa aaaa daaae eaaad aaaa aaaa daaae aaaa aaaa daaa eaaad aaaa aaaa daaae eaaad aaaa aaaa daaae aaad daa e ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#957cceff b,#93501eff c,#c7a68cff d,#baaadfff e,#ddd5efff f,#e2d1c4ff g,#ac7953ff ``` ```image fcgbf fcgbbbbbc fcgbbbbbbbbbg fcgbbbbbbbbbbbbbb fcgbbbbbbbbbbbbbbbbbbf fcgbbbbbbbbbbbbbbbbbbbbbbc fcgbbbbbbbbbbbbbbbbbbbbbbbgcf fcgbbbbbbbbbbbbbbbbbbbbbbbgcf fcgbbbbbbbbbbbbbbbbbbbbbbbgcf fcgbbbbbbbbbbbbbbbbbbbbbbbgcf fcgbbbbbbbbbbbbbbbbbbbbbbbgcf edde edddddd bbbbbbbbbbbbbbbbbbbbbbgcf daaaae eaaaaaa bbbbbbbbbbbbbbbbbbgcf daaaaaa eaaaaaa bbbbbbbbbbbbbbgcf eaaaaaaaa eaaaaaa bbbbbbbbbbgcf daaaaaaaaaedaaaaaa bbbbbbgcf daaaaaaaaaaedaaaaad bbgcf eaaaaaaaaaaaaedaaaaad f eaaaaaaaaaaaaaedaaaaad daaaaaaaaaaaaaaedaaaaad eaaaaaaaaaaaaaaaadaaaaaad eaaaaaaaaaaedaaaaadaaaaaae daaaaaaaaad daaaaadaaaaaae eaaaaaaaaaae daaaaadaaaaaae eaaaaaaaaaae daaaaadaaaaaae daaaaaaaaad daaaaaaaaaaaae ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#957cceff b,#93501fff c,#c7a58bff d,#cabee5ff e,#ebe4efff f,#af9cd9ff g,#ac7852ff ``` ```image cb cbbbbb cbbbbbbbbbe cbbbbbbbbbbbbc cbbbbbbbbbbbbc cbbbbbbbbbbbbc de ffd cbbbbbbbbbbbbc eaaa aaa cbbbbbbbbbbbbc daaaaeaaa cbbbbbbbbbbbbc aaaaaaeaaa ecbbbbbbbbbbbbc aaaaaaadaaa ecbbbbbbbbbbbbc daaaaffaadaaa ecbbbbbbbbbbbbc faaaad faafaaa ecbbbbbbbbbbbbc aaaaa daaaaaa ecbbbbbbbbbbbbc eaaaaa daaaaaa ecbbbbbbbbbbbbc faaaad eaaaaaa ecbbbbbbbbbbbbc aaaaae eaaaaaa ecbbbbbbbbbbbbc eaaaaa aaaaaf gbbbbbbbbbbbc faaaaf aaaaaf ebbbbbbbbc aaaaae aaaaad bbbbbc eaaaaa aaaaad ebbb daaaaf aaaaae bbbg aaaaae aaaaae cbbb aaaaa aaaaa bbbg daaaaf aaaaa cbbb faaaad aaaaa bbbc aaaaa aaaaa gbbb eaaaaa aaaaa bbbc faaaad faaaa gbbb aaaaae faaaa bbbd eaaaaa daaaa bbbb faaaaf daaaa ebbbe aaaaae eaaaa bbbb eaaaaa eaaaa ebbbe daaaaf aaaf bbbb aaaaae aaaf ebbb aaaaa aaad bbbb daaaaf aaad ebbb faaaad aaae bbbb aaaaa aaae ebbb eaaaaa aaa bbbb faaaad aaa ebbbe aaaaae de bbbb eaaaaa ebbbe aaaaf ebb aaaae faaa eaaad aaaa aaaa faaae eaaaf aaaa aaaa daaae eaaaf aaaa aaaa daaad aaaa aaaa faaae eaaad aaaa aaaa faaae eaaaf aaaa aaaa daaad aaaf aaaa faaa eaaad aaaa aaaa faaae eaaaf aaaa aaaa daaae aaaf faa e ``` <!-- end of image -->
[ "" ]
This image might have some surprises. Let's look for intersections carefully. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#e0bce3ff b,#7cf21fff c,#b051b8ff d,#9dee64ff e,#96cb94ff f,#be84c3ff g,#b1d7b1ff ``` ```image f ca ca ca ca ca ca ca ca ca ca ca cf cf cf cf cf eeeeeeeeeeeeeeeeeeeeeg cf ggggggggggggggggggggge cf ggggggggggggggggggggge cf ggggggggggggggggggggge cf ggggggggggggggggggggge cf ggggggggggggggggggggge cc ggggggggggggggggggggge aa cc ggggggggggggggggggggge aaffcccccccccf cc ggggggggggggggggggggge aaffcccccccccccffaa fc fc gggggggggggggggggfffccccccccccccffaa ac fc ggggggfffcccccccccccccaaa c fc aaffccccccccccccfffgggggggge c fc aaffcccccccccccfffgggggggggggggggggggge ca fccccccffaa ggggggggggggggggggggge ca ggggggggggggggggggggge cf ggggggggggggdbdgggggge fc ggggggggggdbbdbbggggge ac ggggggggebbdgggbbgggge c gggggggbbbggggggbbggge c gggggbbbgggggggggbbdge ca gggbbbggggggggggggdbbe cf ebbbeeeeeeeeeeeeeeeebb cc dbbg bb fc gbbd bbg ac bbd dbd c bbb gbb c bbb bb ca dbb bb cf dbbg dbd fc gbbd gbb ac bbd bb c bbb bb c bbb dbg ca bb gbd ca bb cf bb eeeeeeeefceeeeeee bbg ggggggggfcggggggg dbd gggggggggcggggggg bb gggggggggcggggggg bb gggggggggcggggggg bbg gggggggggcfgggggg dbdgggggggggccgggggg gbbggggggggfcgggggg bbggggggggcgggggg gbbeggggggcgggggg ggbbggggggcgggggg gggbdgggggcfggggg gggdbgggggcfggggg ggggbdggggccggggg ggggdbggggfcggggg gggggbdggggcggggg gggggdbggggcggggg ggggggbdgggcggggg ggggggdbgggcfgggg gggggggbbggccgggg gggggggebggfcgggg ggggggggbbgfcgggg ggggggggebggcgggg gggggggggbbgcgggg ggggggggggbgfgggg ggggggggggbbggggg gggggggggggbegggg gggggggggggbbgggg ggggggggggggbeggg eeeeeeeeeeeeeeeee ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#e3c1e6ff b,#7bf31cff c,#b151b8ff d,#bbf88bff e,#9af552ff f,#c988ceff g,#e1fcccff ``` ```image aaaffffcc aaaaffffccccccccccccc aaaaffffcccccccccccccccccccccccf aaaafffccccccccccccccccccccccccffffaaa ccccccccccccccccccccfffaaaa cccccccccfffaaaa faaaa gdg gebbbd dbbbbbbe dbbbbbdbbbeg dbbbbbd gbbbbg gebbbbd gebbbd gebbbbeg ebbbe gebbbbeg dbbbeg dbbbbeg gbbbbg dbbbbbd gebbbd dbbbbbd ebbbd gebbbbd dbbbe gebbbbeg gbbbb ``` <!-- end of image --> No intersection found in area A, but I won't give up. Next up, a closer look at another region. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#cd90d2ff b,#7bf31dff c,#b152b9ff d,#9cf555ff e,#e7c9e9ff f,#c0f894ff g,#e5fcd4ff ``` ```image acc acce ecce ecca cca ccc acc acce acce ecca ecca cca d ccc bdg acc bbbg acce dbbbf ecce dbbbd ecca fbbbdg cca fbbbbg ccc gbbbd ccc dbbf acc gbbd acce dbbf ecce gbbb ecca dbbf cca gbbb ccc dbbf acc gbbb acce fbbf acce bbbg ecca fbbd ecca bbbg cca fbbd ccc bbbg acc fbbd acce bbbg ecce fbbd ecca dbbg cca gbbd ccc dbbf ccc gbbd acc dbbf acce gbbb ecce dbbf ecca gbbb cca dbbf ccc gbbb acc fbbf acce gbbbgeae fbbf bbbg fbbd bbbg fbbd bbbg fbbd dbbg ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#d7a7dbff b,#7df31fff c,#b050b8ff d,#adf772ff e,#e9ceebff f,#c47cc9ff g,#dcfbc3ff ``` ```image fe ce ce ce ce ca ca ca ca ca ca ca ca ca cf cf cf cf cf cf cf cf cf ea cc eaffcccccccccf fc eaffcccccccccccffae fc fc eeafccccccccccccfaae ac fc eeafccccccccccccfaee ec fc eaafccccccccccccfaee c fc eaffcccccccccccffae ce fccccccfaae ca cf dbd fc dbbdbb ec gbbd bb c gbbd bb c bbb bbg ce bbb dbd cf dbbg gbb cc dbbg bb ac gbbd bbg ec gbbd dbd c bbb gbb c bbb bb ca dbbg bbg cf dbbg dbd fc gbbd gbb ac gbbd bb ec bbb bbg c bbb bbd ce bbg dbb ca g gbb cf bb fc bbg ec dbd c gbb c bb ce bbg cf dbd cc gbb ac bb ec bbg c bb c bg ca db cf bd fc db ac bd ec db c bd ce gb ca bb cf gb fc bb ec gb c bb c b a bb bg bb bg g ``` <!-- end of image -->
[ "" ]
This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#544ab9ff b,#3a750fff c,#afc79dff d,#867fceff e,#78a05bff f,#b7b2e1ff g,#e1e4e8ff ``` ```image af gaaag daaa aaad gaaaf faaag daaa ag aaad faf gaaaf aa faaag gad daaa aa aaad aa gaaaf dag faaag aa daaa faf aaad aa gaaaf gad faaag aa daaa aa aaad aa gaaaf aa faaag dag daaa aa aaad faf gaaaf aa faaag gad daaa aa aaad aa gaaaf dag faaag aa daaa faf aaad aa gaaaf gad faaag aa daaa aa aaad dag gaaaf aa faaaaf daa bbbc bbbbbbbbc ebbbg cbbbbbc cbbbg cbbbbbc gbbbc cbbbbbc gbbbe cbbbbbg bbbe cbbbbbg ebbb cbbbbbg ebbbg ebbbbeg cbbbc ebbbbeg gbbbc ebbbbe bbbe ebbbbe ebbb ebbbbe ebbbg gebbbbe cbbbg gebbbbe gbbc gbbbbbc e gbbbbbc gbbbbbc cbbbe c ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#693c96ff b,#78f13eff c,#beabd1ff d,#8e71adff e,#b0d8afff f,#ebefecff g,#98ce92ff ``` ```image ca dad dfaf a a a ca a ac a a a fa a dd fa af cd a cc ca dc ac d af a df a fa cd a dd a a af a a fa a a ca dc a ac fd fd a a cd ca a dc dc fa af df af caa cd a fa da a a a dd ad a a a af fac a a a a ca a dc a ca aa a fd a ac ad a a fa a faf a a cd fa da a ffffaffffccffff dd ad a fgeeeddeeedgeeeeg af fac a feeeeeaeeeaeeeeeg a caf a feeeeeaeeeaeeeeeg ca da af feeeeeaeeeaeeeeeg ac ad df feeeeedgeeaeeeeeg a fac df feeeeegdeeaeeeeeg fa caf dc feeeeeeaeeaeeeeeg dd da dc feeeeeeaeeaeeeeeg af ad dc feeeeeeaeeaeeeeeg fa faf cc fgeeeeeddddeeeeeg cd da cc fbbeeeeeaddeeeeeg ac aa cc febbeeeeadgeeeeeg a ac cd feegbeeeaaeeeeeeg ca caf cd feeegbeeaaeeeeeeg dcda fd feeeegbedaeeeeeeg ad fd feeeeeebeaeeeeeeg fa feeeeeeebgeeeeeeg fa feeeeeeeebgeeeeeg a feeeeeeeeebbeeeeg a ggggggggggbbggge fffffffffffaffff bb fgeeeeeeeeeeaeeee gb feeeeeeeeeeeaeeee eb feeeeeeeeeeeaeeee fb feeeeeeeeeeeaeeee fbf feeeeeeeeeeeaeeee bf feeeeeeeeeeeaeeee be fegbbbbbbb feeeeeeeeeeeaeeee bbbbgef bb feeeeeeeeeeeaeeee bb feeeeeeeeeeeaeeee bb feeeeeeeeeeeaeeee gb feeeeeeeeeeeaeeee gb feeeeeeeeeeeeeeee gb feeeeeeeeeeeeeeee eb feeeeeeeeeeeeeeee eb feeeeeeeeeeeeeeee eb feeeeeeeeeeeeeeee eb feeeeeeeeeeeeeeee fb feeeeeeeeeeeeeeee fb feeeeeeeebbbbeeee fb ggggbbbbgggggggg fb fgbbbe fb ebbbe fbf ebbbe fbf ebbbe bf ebbbe bbgf ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#673a95ff b,#7bf241ff c,#cabbdaff d,#8866abff e,#b7f797ff f,#e8ece8ff g,#a991c2ff ``` ```image aaf gag dac gac gag dac cad daf faa daf daf aa gac aa cag fad fad cad aaf cag dac cag gag gag cad gac faa dac daf daf gac aaf cag aa fad faa aa fad dac cad f gag cag fbb cad gag fbbbf faa gac fbbbf aafdac bbbf dacdac ebbe gagdaf ebbe cadaa ebbe aaaa ebbe daad fbbe gaad fbbb caad fbbbffaag fbbbfaag bbbdac ebbg ebbe ebbe ebbe ebbe ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Moving on to the next area. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#673994ff b,#78f23cff c,#cbbbdaff d,#8e6db0ff e,#b3f792ff f,#eaefe9ff g,#ac93c4ff ``` ```image aaf aaf daf daf daf dac dac dac dac dac gac gac gac gag gag gag gag cag cag cag cad cad cad ff ff feebbe feebbbbbbe feebbbbbbeef ``` <!-- end of image --> This isn't an intersection in area B, but I'm not discouraged. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#683a95ff b,#79f23eff c,#cabadaff d,#8663aaff e,#b4f794ff f,#e5e9e6ff g,#a991c2ff ``` ```image ca gad dfac a a a ca a dg a a a fa a dd fd af cd a gg ca dc ac d af a df a fa cg a dg a a af a a a a a gd gc a ac fd fd a a cg ca a gc dg fa af df af caa gg a fa da a a a gd ad a a a ac fac a a a a ga a dc a ca da a cd a ag ag a a fa a caf a a cd fa ga a af gg dd ad a gg dc af ag a a df a caf a a a ga da df a a ac ad df dc a a fac df cd a fa ga dc a a dg da gc a a af ag gc a fd a faf gg f ggcg gd ga gg bb fagc ac ad cg eb adf a ag cg eb aa ca caf cd eb da dgda cd fb ca ad fd fbfa fd bg a be a be a bb a bb a eb a eb a fb a fbf a bf a be feebbbbbbb a bbbbeef bb a bb a bb a eb a eb eb eb eb eb eb fb f fb febbb fb febbbe fb ebbbe fb ebbbe fb ebbbe bf ebbbe bf ebbbe bbe ``` <!-- end of image -->
[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#387c16ff b,#723922ff c,#9cbc8eff d,#b2d5b0ff e,#70a259ff f,#93715cff g,#e0e2d6ff ``` ```image dg gbbb fbbbbd cbbbbb gbbbbbg bbbbbf fbbbbb gbbbbbg bbbbbc fbbbbb dbbbbbg bbbbbc fbbbbf cbbbbb gbbbbbd fbbbbf cbbbbb gbbbbbg bbbbbf fbbbbb cdddddddddddddddddc cbbbbbg cdddddddddddddddddd gbbbbbd cddddddddddddddddddgbbbbbf cdddddddddddddddddbbbbbb cdddddddddddddddfbbbbb cdddddddddddddcbbbbbg cddddddddddddbbbbbf cddddddddddbbbbbbdd cddddddddfbbbbbdddd cddddddcbbbbbcddddd cddddcbbbbbfddddddd cdddbbbbbfddddddddd cdfbbbbbddddddddddd fbbbbbcddddddddeaec gbbbbbfdddaaeddddaaaaaaeg bbbbbfddddeaaaddddaaaaaaaaaaed fbbbbbddddddaaaaddddaaeeaaaaaaaaaaad cbbbbbgcdddddcaaaaddddaaed gcaaaaaaaaaaac gbbbbbd cdddddaaaaadddcaaed caaaaaaaaaaaeg bbbbbf cddddcaaaaadddcaaed deaaaaaaaaaaeg fbbbbb dccccaaaeaaccceaaec geaaaaaaaaaaed fbbbbbg aaadaad daad geaaaaaaaaaaac dbbbbbd aaad aac daag caaaaaaaaaaacg gbbbbbf aaa aae caag daaaaaaaaaaa bbbbbf eaac aaa caa deaaaaaa fbbbbb aaa aaa eaa geaa dbbbbbg eaac aaa eaa bbbbc aaa aaa eaa gbf caae eaa eaa aaa daag aaa daaa gaac aaa aaa aae aaa gaaa aaa aaa aaag aaa aaa aaa aaa aaa aaag aaa aaa aaa eaa aaa eaad caagaaa aaa gaadaaa eaac aaeaaa aaa aaaaaa caae aaaaaa aaa aaaaae daae aaaaae e aaa eaaaae eaae gaaa caaaae aaaaae aaag daaaac caaaaac aaa gaaaac eaaaaac aaag aaaac eaaaaac aaa aaaad eaaaaaceaad aaaad eaaaaaaa aaaag eaaaac aaaag eaa eaaag caaa gaaa aaa aaa aaa aaa aaa gae ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#387c15ff b,#723821ff c,#a09e7dff d,#babba2ff e,#639848ff f,#8d5f4dff g,#dedad0ff ``` ```image g gfb cbbb dbbbbb dfbbbbbb gfbbbbbbbb gcbbbbbbbbbb cbbbbbbbbbbfg dfbbbbbbbbbfg gfbbbbbbbbbbd gcbbbbbbbbbbc cbbbbbbbbbbcg dbbbbbbbbbbfg gfbbbbbbbbbfd gfbbbbbbbbbbc cbbbbbbbbbbcg dbbbbbbbbbbfg gfbbbbbbbbbfd gfbbbbbbbbbbd cbbbbbbbbbbc dbbbbbbbbbbfg caaecd fbbbbbbbbbfg caac caaaaaa bbbbbbbbbd daaaad eaaaaaa bbbbbbbc aaaaae aaaaaaa bbbbbfg daaaaaa aaaaaaa bbbfg eaaaaaa aaaaaaa bbd daaaaaaag aaaaaed c eaaaaaaag aaaaac gaaaaaaaad aaaaac eaaaaaaaac aaaaac gaaaaaaaaac gaaaaad eaaaaaaaaae gaaaaad gaaaaaaaaaae gaaaaad caaaaaaaaaaa gaaaaad ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#387c16ff b,#723821ff c,#9dac82ff d,#c1c8afff e,#6fa056ff f,#906351ff g,#e3e5daff ``` ```image dg gbbb fbbbbd cbbbbb gbbbbbd bbbbbf cbbbbb gbbbbbg bbbbbc fbbbbf dbbbbbg bbbbbd fbbbbf dbbbbb gbbbbbd fbbbbf cbbbbb gbbbbbd bbbbbc fbbbbb cbbbbbg dbbbbbd bbbbbc fbbbbf cbbbbbg dbbbbbd gbbbbbc bbbbbf fbbbbb dbbbbbg gbbbbbc bbbbbf fbbbbb cbbbbbg eacg gbbbbbd aad aaaaaaeg bbbbbf daaa aaaaaaaaaaed fbbbbb aaaa aaeeaaaaaaaaaaad cbbbbbg daaaa aac gcaaaaaaaaaaac gbbbbbd aaaaa gaac caaaaaaaaaaacg bbbbbf gaaaaa gaad deaaaaaaaaaaed fbbbbf aaaeaag daad geaaaaaaaaaaed cbbbbbg aaadaad daad gcaaaaaaaaaaac dbbbbbd aaad aac daag caaaaaaaaaaacg gbbbbbc aaa aae caag daaaaaaaaaaa fbbbbf eaad aaa caa deaaaaaa fbbbbb aaa aaa caa geaa dbbbbbd caac aaa eaa bbbbc aaa aaa eaa gbf caae eaa eaa aaa daad aaa daaa gaac aaa aaa aae aaa gaaa aaa aaa aaag aaa aaa aaa aaa aaa aaag aaa aaa aaa eaa aaa eaad caagaaa aaa gaadaaa eaac aaeaaa aaa aaaaaa caae aaaaaa aaa aaaaae daae aaaaae e aaa eaaaae eaae gaaa caaaae aaaaae aaag daaaac caaaaac aaa gaaaac caaaaac aaag aaaac eaaaaac aaa aaaad eaaaaaceaad aaaad eaaaaaaa aaaag eaaaac aaaag eaa eaaag daaa gaaa aaa aaa aaa aaa aaa gae ``` <!-- end of image -->
[ "" ]
It's clear from this image that there are no line intersections.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3b57e8ff b,#86bdddff c,#55a4d0ff d,#9eacf3ff e,#dbe4f8ff f,#6c81edff g,#bbcdf2ff ``` ```image g bccccbe ebccccbg gbccccbe ebccccbg gbccccbe ebccccbg gbccccbe ebccccbg gbccccbe ebccccbg gbccccbe ebccccg gccccg ebcccbe ebcccbe gcc a ad eaa gfad df a fd ad ag a a ad a a a ad a ea a ad ea ea af ga ag aa df ea dad fd ag aa ag ea fae ae ag eaf a ea fa a ag gad a ea af a ag af a ea ad ea ag ag df ea eae fd ag ea fg ea da ae ag fa a ea fa a ag af a ea ad a ag ag a ea ae ea ag ea gf ea ga df ae da fd ea fa ag ae aa a ga af a aaaaaaaaaaaaaaaaa ad a ag a ae a ea ea ga ga da df fa fd af ag af ae ad a aea eaa ga ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#7c3130ff b,#2c2488ff c,#c29f9fff d,#dfd7dfff e,#9f6968ff f,#5c56a3ff g,#a29fcbff ``` ```image dbfd bbbbbbf bbfgbbbbbbbg fbb gbbbbbbfd dbb dfbbbbf bbg gfg bbf gb fbb dbbbg dbb fbbbbf bbg gbbbg bb bbf dbbbf bb fbb bbbb fbg dbb fbbbd dbf bbg gbbbg bb bbf bbbb bb gbb fbbbd fbg dbb gbbbg dbb bbg dbbbf bb bbf bbbb bb gbb fbbbd fbg dbb gbbbf dbb bbg bbbb bb bbf fbbbd bb gbb gbbbg fbgdbb dbbbf dbbbbg bbbb bbbb fbbbg bbb dbbbf gb bbbb fbbbd daa gbbbg eac bf aa aa cae aad aa daa eac aa aa cae aad aa daa eac aa aa cae aad aa daa eac aa aa ac cae caaa aad aaad aa aaae daa caaa eac aaad aa eaae aa daaa cae aaac aad caaa aa daaad daa aaae eac caaa aa aaad aa eaae cae daaa aad aaac aa eaaa daa daaad eac aaac aa caaa caaaa aaaaaaaeccd eaaaaaad eaaaaaaaaaaaaaaeccd daaaaaaed dceaaaaaaaaaaaaaaaecaaaaaac dceaaaaaaaaaaad dcd ``` <!-- end of image -->
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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. <!-- image --> ```palette Key,Color ,#fefefeff a,#3e75f6ff b,#e097d0ff c,#e2d5f2ff d,#8eaff6ff e,#b0d6b1ff f,#95c996ff g,#d65fbbff ``` ```image cg bgggggb cbgggggbc bggggggb cbggggggc cggggggbc bggggb bgb cgg gg gg gg bgc bgb cgg gg daac gg aaaaaac gg aa daaaad bgc ad daaaad cgb aa daaad cgg ad d gg aa gg cad gg aa bgc cac cgb aa gg da gg aa gg da gg aa bgc aa cgb ad gc gg aa gg gg ad cgc gg aa gg ggc cac cgc bgc aa gg cgb cac cg gg aa gg gg da bg gg aa gg ggc da bg bgb aa gg cgb aa bg gg ad gb gg aa bg gg ad gb ggc aa gg bgb cac effffffggfffffff cgg aa feeeeeeggeeeeeeecgg dac dfeeeeeeegbeeeeeegg aa aaeeeeeeeggeeeeegg da aaeeeeeeegbeeeggc aa faadeeeeeggeebgb da feaaaeeeeegeegge aa feeaaaeeeeggggee aa feeedaaeeeeggeee ad feeeeeaaeeegeeee aa feeeeeeaaeeeeeee cad feeeeeeeaadeeeee aa feeeeeeeeaaaeeee cac feeeeeeeeedaaeee aa feeeeeeeeeeeaaee dac feeeeeeeeeeeeaaf aa feeeeeeeeeeeeeaad da feeeeeeeeeeeeeeaad aa feeeeeeeeeeeeeeedaa da feeeeeeeeeeeeeee daa ad efffffffffffffff caa aa aac ad aad aa aaa cad daa aa caa cac aac aa aad dac aad aa daaa daa ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#3b73f7ff b,#e8a5d9ff c,#ece7f8ff d,#91b0faff e,#c0d1fbff f,#638ff8ff g,#d660bcff ``` ```image gggb bgggc gggb bggg e gggb ad bggg b aad gggb cg aaafc bggg cgg faaafc cgggb ggg daaaae bggg bggg daaaae cgggb bgggb eaaaad bggg bgggb eaaaaf cgggc cgggg cfaaafc bgggcggggc faaaac cgggggggc daaaae bgggggb eaaaad cggggb eaaaad gggb cfaaafc cbb cfaaafc daaaae daaaae eaaaad eaaaaf cfaaafc faaaac daaaae eaaaad eaaaad cfaaafc cfaaafc daaaa daaa eaa ca c ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3c73f7ff b,#df83cbff c,#e8e2f7ff d,#a7c0faff e,#ecb5e0ff f,#7098f8ff g,#d65dbbff ``` ```image eb ceggggge ebgggggbc egggggge cbgggggbe ebgggggbc bgggge ege cgb gg gg gg bgc egb cgg gg faad gg aaaaaad gg fa faaaad bge af faaaad egb aa daaad cgg cad d gg aa gg cad ggc aa bge dac egb aa cgg dac gg aa gg fa ggc af bge fa egb af ge gg aa gg gg cad cgc gg aa gg ggc cad cgc bge aa gg egb dac egc gg aa gg gg dac eg gg aa gg bgc fa eg bge af gb cgb fa bg gg af gb gg aa bg gg cad gb bgc aa bg ege cad ge cgb aa gg gg dac f ge gg aa caa gg gg dac caac ge bgc aa aad gg ege fa aaf cgecgb af faa gggg fa daa cgg af caa b aa aac cad aad aa faf cad daa aa caa dac caac aa aad da aaf aa faa fa daa af caac aa aac af aad aa faf cad daa aa caa cac aac aa aad dac aaf aa faaa daa ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#2d017dff b,#8e9754ff c,#cfc7daff d,#b1d7b1ff e,#897db0ff f,#99c593ff g,#5e4498ff ``` ```image ccegac cegaaaaaaaaaaae cegaaaaaaaaaaaagec aag aaaaaaaagec aaa eae aaa aa gaa aa caac cae caae aa aag aa aaa cae gaa ga eaac aa caae ag aag gac aa aa aa aa aa eac caa aa aa aa cag cae aa aa cag aa aa cae cag ga aa aa cag ag fffffaaffffffffffffffffffffffd gac dddddeagdddddddddddddddddddddf aa ddddddaadddddddddddddddddddddf aa ddddddeagddddddddddddddddddddf eac dddddddaaddddddddddddddddddddf aa dddddddeagdddddddddddddddddddf aa ddddddddaadddddddddddddddedddf cae ddddddddgaeddddddddddeaaaagddf aa dddddddddaaddddddfgaaaaaaedddf aa dddddddddgaedfgaaaaaaedfbbfddf cae ddddddddddaaaaaaagddbbbbbbbddf ga ddddddddddgaagddfbbbbbbfdddddf aa ddddddddddddfbbbbbbfdddddddddf ag dddddddddbbbbbbbfddddddddddddf gac dddddfbbbbbbfddddddddddddddddf aa dfbbbbbbbddddddddddddddddddddf aa fbbbbbbfdddddddddddddddddddddddf eac dbbbbbbfdddddddddddddddddddddddddddf aa cbbbbbbf dddddddddddddddddddddddddddddf aa fbbbbbbc dddddddddddddddddddddddddddddf cae dbbbbbbd dddddddddddddddddddddddddddddf aa cfbbbbbf dddddddddddddddddddddddddddddf aa fbbbbbbc dddddddddddddddddddddddddddddf cae dbbbbbbd dddddddddddddddddddddddddddddf ga cfbbbbbf dddddddddddddddddddddddddddddf fddaaddddddddddf dbbbbbbc fffffffffffffffffffffffffffffd dddagddddddddddfdbbbbbbd ddgafdddddddfbbbbbbf ddaadddddfbbbbbbc ddaadfbbbbbbfddf deaefbbbbfdddddf daadfbdddddddddf daadbbdddddddddf faedbbdddddddddf ddddbbdddddddddf ddddbbdddddddddf dddfbfdddddddddf dddfbddddddddddf dddbbddddddddddf dddbbddddddddddf dddbbddddddddddf dddbbddddddddddf ddfbfddddddddddf ddfbdddddddddddf ddbbdddddddddddf ddbbdddddddddddf ddbbdddddddddddf ddbbdddddddddddf dfbfdddddddddddf fbbffffffffffffd bb bb bb bf cc ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2d027eff b,#8d9552ff c,#a28fc5ff d,#dfdedaff e,#aab07eff f,#c7cbaaff g,#64449fff ``` ```image gaaa daaag caaac gaaa aaag caaac d gaaad dfebb aaag febbbbbb daaac dfebbbbbbbbb caaad dfebbbbbbbbbbbef aaaa febbbbbbbbbbbefd daaag ebbbbbbbbbbef caaac dbbbbbbbefd gaaa fbbbefd daaag fbbb caaac ebbb gaaad bbbe aaag bbbe daaac dbbbf dcd fbbbd fbbb ebbb bbbe bbbe dbbbf fbbbd fbbb ebbb bbbe bbbf dbbbf fbbbd fbbb ebbb bbbe bbbf dbbbf fbbbd fbbb ebbb bbbe bbbf dbbbf fbbbd fbbb ebbb bbbe bbbf dbbbf fbbbd ``` <!-- end of image --> The lines within area A do not intersect. Right then, let's explore the next spot. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#2e037eff b,#8e9653ff c,#a491c6ff d,#e9e7eaff e,#785cabff f,#b2b78aff g,#d1d2c0ff ``` ```image caaae aaaad caaae aaaad caaae aaaad caaae aaaad caaae aaaad caaae daaaad caaac dced daaaad dceaaaac eaaac dgeaaaaaaaae daaaad gceaaaaaaaaaaae eaaac gceaaaaaaaaaaaaecd daaaa dceaaaaaaaaaaaaecd dgf eaaac dceaaaaaaaaaaaaecd gfbbbbg daaaaceaaaaaaaaaaaaecg dgfbbbbbbbf eaaaaaaaaaaaaaecg dgfbbbbbbbbbbbf daaaaaaaaaaecd gfbbbbbbbbbbbbfg eaaaaaecd dgfbbbbbbbbbbbfgd cecd dgfbbbbbbbbbbbffd gfbbbbbbbbbbbbfgd dgfbbbbbbbbbbbfgd dgfbbbbbbbbbbbffd gfbbbbbbbbbbbbfgd dgfbbbbbbbbbbbfgd dgfbbbbbbbbbbbffg gfbbbbbbbbbbbbfgd gfbbbbbbbbbbbfgd bbbbbbbbbbfg bbbbbbfgd bbfgd g ``` <!-- end of image --> There is no intersection present within area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#2d017dff b,#8e9653ff c,#af9fcdff d,#dddbdbff e,#846bb3ff f,#b9be95ff g,#563397ff ``` ```image dcegad dcgaaaaaaaaaaac cegaaaaaaaaaaaagec aag aaaaaaaaecd aaa eacd gaa aa eaad aa caac cac daae aa aag aa aaa dae gaa ga eaad aa daae ag aag ead aa aa daa ag aa eac dag aa aa aa dag cac aa aa dag aa aa dae cag ga aa aa cag ag aa ead cae aa aa aa cae eac aa aa eae aa aa c cac eae cgaaae aa aa dgaaaaagc aa eac deaaaaaac dbbd dae aaaaaaae dfbbbbbf ga eaaed fbbbbbbf aa dbbbbbbf ag fbbbbbbd ead fbbbbbbf aa dbbbbbbf aa fbbbbbbd eac fbbbbbbf aa dbbbbbbf aa fbbbbbbd cac fbbbbbbf aa dfbbbbbfd aa fbbbbbbd dae dbbbbbbf ga dfbbbbbfd aa fbbbbbbd ag dbbbbbbf ead dfbbbbbfd aa fbbbbbbd aa dbbbbbbf eacdbbbfd aa fb aa bb dac bb bb bf dbf fb bb bb bb bf dbf fb bb bb bb bf dbd fb bb bb bb bf dd ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#7293cbff b,#119b98ff c,#cce1eaff d,#52b5adff e,#98c4d4ff f,#b0d7b1ff g,#94c998ff ``` ```image e ceaaac caaaac caaaac eaaaac eaaae caaaae caaaac gggggggggaaaaagf ffffffaaaaaffffg fffaaaaafffffffg caaaaeffffffffffg caaaaefffffffffffffg eaaaac fffffffffffffffg eaaae fffffffffffffffg caaaae fffffffffffffffg caaaac fffffffffddffffg caaaac ffffffffdbbffffg eaaae fffffffbbgbdfffg eaaae ffffffbbffdbfffg caaaac fffffbbffffbgffg eaac fffgbbfffffbbffg ae ffdbdfffffffbffg ca fdbdffffffffbbfg ae bbgffffffffffbfg a bbffffffffffffbbg aa bbfffffffffffffgbg a bb ffffffffffffffbd ea cbd ffffffffffffffdb ac ebd fffffffffffffffbc ca dbe gffffffffffffffbb ae bbc bc ca bb bb aa bb cb a cbb bd aa ebd eb ac dbe be ea bbc eb ae bb bc ca bb db aa cb bc a cb bb aa eb cb ac eb bd ea db eb ac db be ca bb db ae bd bc ca bd db aa be b a be bb aa bc cb fffagfffffffg bc bd ffffffffffffg b eb ffffffffffffg b be ffffffffffffg b db ffffffffffffg b bc ffffffffffffg cb db ffffffffffffg cb b ffffffffffffg eb bb ffffffffffffg eb cb ffffffffffffg db bd fffbbfffffffg db eb ffffbbgfffffg bb be fffffbbdffffg bd db ffffffgbbfffg bd bc ffffffffbbdfg be db fffffffffdbbg be b fffffffffffbbe bc bb ffffffffffffdbb bc cb ffffffffffffg bbc b bd ffffffffffffg dbd b eb ffffffffffffg cbbc b be ffffffffffffg bbd b db ggggggggggggf cbb cb bc bbe cb ebb eb bbceb dbbb bb ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#7292ccff b,#109a97ff c,#a7dad8ff d,#37aba8ff e,#8ac2ceff f,#d6eaedff g,#5fbbb9ff ``` ```image faae eaaf fea de gbbdf cbbbbe fdbbbdf ebbbbc fdbbbgf ebbbbc fdbbbg gbbbdf cbbbbe fgbbbdf cbbbb fdbb eb f ``` <!-- end of image --> I don't observe any intersections inside area A. Time to investigate another area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#7191cbff b,#109a97ff c,#b4d1e1ff d,#37aba8ff e,#68bfbdff f,#d9eaefff g,#94bfd4ff ``` ```image fcgaaaaaaacf fcaaaaaaagcf fgaaaaaaagcf cgaaaaaaagc fcgaaaaaaagf fcaaaaaaaacf fgaaaaaaagcf aaaaaagc aaagf cf gbe ebbbf dbbbbe fdbbbdbbf fbbbdfgbbe cbbbdf bbb gbbbe ebbg ebbbe fbbd ebbbg ebbc fdbbbc fbbd fdbbbf dbbf cbbbdf cbbe cbbbd dbbf gbbbe gbbe ebbbg bbb dbbbc ebbg fdbbbc fbbd fbbbdf ebbc bbbdf fbbd bbe dbb be cbb g db gb b e f ``` <!-- end of image --> I had hoped to find an intersection in area B, but there isn't one. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#7091cbff b,#109a97ff c,#b2d5dfff d,#40aeacff e,#77c5c4ff f,#ddeaf1ff g,#96aed8ff ``` ```image g fgaaaf faaaac caaaaf caaagf gaaag fgaaac caaaac caaaaf gaaagf fgaaag faaaac caaaaf caaagf gaaag fgaaac faaaac ee caaaaf dbb gaaagf bbfbe fgaaag bb eb faaaac bb bc gaaf fbb db ac cbd bf fa ebe bb ag dbc fb fa bbf bd aa bb cb af fbb be ga cbd eb ac ebe bc ca dbc db ag bbf bf fa bb bb aa bb fb a fbb bd ga cbd cb af ebe be ca dbc eb ac bbf bc fa bb db ag fb bf a cb bb aa cb fb af eb bd ga eb cb ac db be ca dd eb ag bd bc fa be db aa be bf a bc bb ga bc fb af bf bd b cb b be b eb b bc fb db cb bf cb bb eb fb eb bd bd db cb fbbf dd be dbd bd eb cbb be bc bbe be db cbb bc bf bbc bc bb ebb bf fb fbbf b bd dbd b cb fbbf b be dbe b eb cbb fb bc bbe cb ebb cb bbceb ebbb fbb ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#c15033ff b,#4f8765ff c,#ceaa92ff d,#91c295ff e,#c67d62ff f,#b1d7b1ff g,#efefe9ff ``` ```image f bbb dbb bbd bbb fbbg bbb bbb gbbf bbb dbb gbbd bbb dbbg bbd bbb fbbg fdbbbdddddddddddddddddddddddddddddddddddddddddddddddddddd dfbbbffffffffffffffffffffffffffffffffffffffffffffffffffffg dfdbbdfffffffffffffffffffffffffffffffffffffffffffffffffffg dffbbbfffffffffffffffffffffffffffffffffffffffffffffffffffg effbbbbbbbbbbbbbdddddffffffffffffffffffffffffffffffffffffg caaffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddfffffffffffffffffg eaacfddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddfgg eaaaffffffffffffffffffddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddfffg eaaaffffffffffffffffffffffffffffffceaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaefffffffffffffffffffffffeaaaaaaaaaaaaaaaaaecffaaafffffgggffdddbbbbbbbbbbbbb aaaaaffffffffffffffffffcaaaaaaaaaaaaaaaecfffffffffaaacffffg g aaaaacfffffffffffffeaaaaaaaaaaaaecfffffffffffffffffaaaffffg aaaaaaffffffffcaaaaaaaaaaaecfffffffffffffffffffffffcaaafffg aaaaaafffceaaaaaaaaaaaefffffffffffffffffffffffffffffaaacffg aaefaaaaaaaaaaaaaecffffffffffffffffffffffffffffffffffaaaffg aaefaaaaaaaaacfffffffffffffffffffffffffffffffffffffffeaaefg aaefcaaaecffffffffffffffffffffffffffffffffffffffffffffaaafg aaeffffffffffffffffffffffffffffffffffffffffffffffffffffaaag aacffffffffffffffffffffffffffffffffffffffffffffffffffffeaac aacfffffffffffffffffffffffffffffffffffffffffffffffffffffaaa gaaffffffffffffffffffffffffffffffffffffffffffffffffffffffcaaa gaafffffffffffffffffffffffffffffffffffffffffffffffffffffffaaag caaffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaa caaffffffffffffffffffffffffffffffffffffffffffffffffffffffffcaae caaffffffffffffffffffffffffffffffffffffffffffffffffffffffffgaaa eaafffffffffffffffffffffffffffffffffffffffffffffffffffffffdggaaa eaagggggggggggggggggggggggggggggggggggggggggggggggggggggggg eaac aaa aaa aaa gaaa aaa aaag aaa aaa aaa caae aae aaag aae gaaa aae eaac aac aaa aac gaaa aac aaag gaag aaa gaag caae gaa aaag caa gaaa caa eaac caa aaa eaa gaaa eaa aaag aaa aaa aaa caae aaa aaag aaa gaaa aaa eaac aae aaa aae gae aac aac aac aag gaag gaag caa caa caa eaa eaa eaa ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c15033ff b,#4e8664ff c,#e3b0a4ff d,#81a890ff e,#d27e69ff f,#aec8b9ff g,#e9e0daff ``` ```image dbbbbb gbbbbbf bbbbbd fbbbbb gbbbbbf dbbbbd fbbbbbg gbbbbbbddfffffgggg cc dbbbbbbbbbbbbbbbbbbbbbdddddfffffgggg aaag fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddffffgggg aaae bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddfffffgggg aaaa fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddfffffgggg aaaac gffdddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddffff aaaae ggggfffffdddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaag ggggfffffdddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaae ggggfffffdddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaa ggcceeaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaaac ggcceeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadfffdddddbb aaaaaae gcceaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccg gaaaaaag aaaaaaag gceaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccg caaaaae aaaaaaac gceeaaaaaaaaaaaaaaaaaaaaaaaaaaaeeccg eaaaaac aaaaaaaa gceaaaaaaaaaaaaaaaaaaaaaaaaaeeccg gaaaaaag aaaaaaaag gceeaaaaaaaaaaaaaaaaaaaaaaeeccg caaaaae aaaaaaaae gceaaaaaaaaaaaaaaaaaaaaaeecgg aaaaaag aaaeaaaaag gceeaaaaaaaaaaaaaaaaaaaaaecg caaaaaa aaagaaaaac gcceaaaaaaaaaaaaaaaaaaaaaeecg eaaaaac aaa eaaaae gceaaaaaaaaaaaaaaaaaaaaaaecg gaaaaaag aae caaaaaggcceaaaaaaaaaaaaaaaaaaaaaeecg caaaaae aae aaaaaaaaaaaaaaaaaaaaaaaaaaaecg eaaaaac aae eaaaaaaaaaaaaaaaaaaaaaeccg gaaaaaag aae gaaaaaaaaaaaaaaaaaecg caaaaae aae aaaaaaaaaaaaeccg aaaaaag aae caaaaaaaecg caaaaaa aac ceecc eaaaaac aac gaaaaaa aac caaaaa aac eaaaa aac gaaaa aag caaa aag aaa aag caa aag ea aa ga aa c aa aa ae ae ae ae ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c15033ff b,#4e8664ff c,#e2ada0ff d,#84ab94ff e,#d17d68ff f,#b4ccbdff g,#e9dcd5ff ``` ```image f bbb dbb bbd bbb fbbg bbb bbb gbbf bbb dbb bbd bbb dbb bbd bbb fbbg bbb bbb gbbf bbb c dbbbbbbbbbbdddffgg caa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddffgg eaac gdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddffgg eaaa ggffdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddffgg aaaa gceaaaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaae gceaaaaaaaaaaaaaaaaeg gaaa ggffdddbbbbbbbbbbbbb aaaaa ceaaaaaaaaaaaaaaec eaac g aaaaag geaaaaaaaaaaaaec aaa aaaaaa ceaaaaaaaaaaeg gaaa aaaeaa geaaaaaaaaaaac aaag aae aaaaaaaaaaaaaeg aaa aae aaaaaaaaac caae aac caaaeg aaa aac gaaa aac eaac aag aaa gaag gaaa gaa aaag caa aaa caa caae caa aaa eaa gaaa eaa eaac aaa aaa aaa gaaa aaa aaag aaa aaa aaa caae aaa aaa aae gaaa aae eaac aac aaa aac gaaa aac aaag aag aaa gaag caae gaa aaa caa aaa caa eaac eaa aaa eaa gaaa eaa aaag aaa aaa aaa caae aaa aaa aaa aaa aaa eaac aae aaa aae gae aae aac aac aag gaag gaa caa caa caa eaa eaa aaa ``` <!-- end of image -->
[ "" ]
It's clear from this image that there are no line intersections.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3fc688ff b,#c5f07cff c,#05b565ff d,#b9ead3ff e,#7fd9b0ff f,#dcf6b1ff g,#eaf9e1ff ``` ```image fbb fbf b gbf gf gbf b gbf b gbf gf gbf b bb fg bb b bb b bb fg bb b bb b fbg gf fbg b fbg f fbg fbg fbf gbf gbf gbf gbf gbf bb bb bb bb bb bb fbg fbg fbg fbg fbg fbf gbf gbf g ce deaa a ec c dc c gcg de cd a ce c aa a ec ed dc c cg de c cd ecccedacag a ce eccad ec ed aa eccad c ec eccad c gc geccad ga cg geccad ag cd gaccag c ae dacceg c aa dacceg de dcacce a g c c de c c a ed c ``` <!-- end of image -->
[ "" ]
This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#e93db6ff b,#b3fc8fff c,#f3a0dbff d,#cdfcb6ff e,#f9d1edff f,#ee70c9ff g,#e9fddfff ``` ```image fe aaaae faeeaaac eaf aaaf aa faaa aa caaae aa eaaac fae eaaaf cac faaa eaf caaae aa caaac aa eaaac aa faaf fae faaae eaf caaae aa eaaac aa aaaf aa faaa fae caaae cac eaaac eaf aaaf aa faaa aa caaae aa eaaae fae ea eaf aa aa aa fae cac eaf aa aa gbg aa gbb ae dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg gbb gbb dbb bbd bbg bbg bbbdg gbb dbbbbbbbbbdg gbb gdbbbbbbbbbdg dbb gdbbbbbbbbbdgbbd gdbbbbbg ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#33ca5bff b,#e13363ff c,#b1d9b2ff d,#f3b2c4ff e,#e36a89ff f,#5ad179ff g,#91cf98ff ``` ```image e bbb dbbbbd ebbbb bbbbb dbbbbd ebbbb bbbbe dbbbbd bbbbb bbbbe dbbbbd debbbbbbbb gggggggggggebbbbbbbbbbbbbe cccceebbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbed ddebbbbbbbbbbbbbbbbeeccccg debbbbbbbbbbbbbbbbbecccccccccccg ddebbbbbbbbbbbbbbbbed cccccccccccccccg debbbbbbbbbbbbbbbbbed cccccccccccccccg debbbbbbbbbbbbbbbbbed ccccgacccccccccg debbbbbbbbbbbbbbbbbed ccccaaaccccccccg bbbbbbbbbbbbed ccccaaaagccccccg ebbbbedd ccccaaaaagcccccg ccccaaaaaagccccg ccccaaffaaafcccg cccgaafcfaaafccg cccgaagccfaaafcg cccgaagcccfaaaag cccfaagccccgaaaa cccfaaccccccgaaaa cccfaacccccccgaaaa cccaaacccccccccaaaa cccaaacccccccccgaaaa cccaaacccccccccg aaaa gggaaagggggggggc aaaa aaa aaaa aaa aaaac aaa faaac aaa faaag aaa faaag aaf gaaaf aaf caaaf caag caaaa faa caaaa aaa aaaa aaa aaaa caag aaaa faa aaaa aaa aaaa aaa aaaa caag aaaac faa faaac aaa faa aaa f caag faa aaa aaa caac aaa faaa aaaac aaaac aaaa caaaa caaaa faaaf aaaag aaaac aaaa aaaa f caaaa faaag gaaaf aaaaaaac faaaf caaaaaaaf aaaac gaaaaaaag aaaac faaaaaaac aaaa caaaaaaaaccaaaa caaaaaaaaaa gaaaaaf fag ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#33ca5bff b,#e13463ff c,#8de1a3ff d,#f4b8c9ff e,#ea7696ff f,#5bd47bff g,#c6efd1ff ``` ```image ddeebbbbb ddeebbbbbbbbbbbb dddeebbbbbbbbbbbbbbbbbb ddeebbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbeedd bbbbbbbbbbbbbbbbbbbbeeddd bbbbbbbbbbbbbbeedd bbbbbbbeedd beedd gffc gaaaaf caaaaaf faaaaaaf faaaaaaaag faaaaaaaaag faaaaaaaaaag aaaaaaaaaaaag aaaaaaaaaaaaag aaaaaffaaaaaaac aaaaac faaaaaaac gaaaaac faaaaaaac gaaaaac faaaaaaac gaaaaac caaaaaaaf gaaaaag caaaaaaaf gaaaaag caaaaaaaf caaaaag caaaaaaaf caaaaag gaaaaaaa caaaaag gaaaaaa caaaaa gaaaaa caaaaa gaaaa faaaaa gaaa faaaaa gfa faaaaa f faaaaf aaaaaf aaaaaf aaaaaf aaaaac ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#34ca5bff b,#e13363ff c,#a3e6b4ff d,#f2afc1ff e,#e8668aff f,#65d683ff g,#dcf0dfff ``` ```image e bbb dbbbbd ebbbb bbbbe dbbbbd ebbbb bbbbe dbbbbd ebbbb bbbbe dbbbbd gdebbbbbbbb debbbbbbbbbbbbbe gdebbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbed gdebbbbbbbbbbbbbbbbedg debbbbbbbbbbbbbbbbbed ddebbbbbbbbbbbbbbbbedg debbbbbbbbbbbbbbbbbed debbbbbbbbbbbbbbbbbed gf debbbbbbbbbbbbbbbbedd aaag bbbbbbbbbbbbed aaaag ebbbbedd aaaaag g aaaaaac gaaffaaac gaac faaaf caac faaaf caag caaaf caag caaaa faa gaaaa faa gaaaa faa aaaa aaa aaaa aaa aaaa aaa aaaag aaa aaaag aaa aaaag aaa aaaac aaa faaac aaa faaaf aaa caaaf aaf caaaf caac caaaa aaa gaaaa aaa gaaaa aaa aaaa caac aaaa aaa aaaa aaa aaaag aaa aaaag caac aaaag aaa aaaac aaa faa aaa f caac aaa aaa aaa caac aaa faaa aaaac aaaag aaaag gaaaa caaaa faaaf aaaaf aaaac aaaag gaaaa gf caaaa faaac faaaa aaaaaaac faaaf caaaaaaafg aaaac caaaaaaaf aaaag faaaaaaac gaaaa gaaaaaaaaggaaaa caaaaaaaaaa faaaaaf gfac ``` <!-- end of image -->
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This image seems promising for intersection detection. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#b453e3ff b,#07c350ff c,#9909ddff d,#87d59cff e,#ddaff3ff f,#b1d8b3ff g,#42d079ff ``` ```image a cc ccce ec aca ec ecc ec cce ec cca ec acc ec ecc ec cce ec cca ac ecc ac cce ac cca ac acc ac ecc ac cce ac cca ac acc cc cc ece cce cc acc ac ecc ca cce ac cca ce acc cc ecc ece cce cc aca dddddddddacd ecc fffffffffcaf cce ffffffffccff cca ffffffffcaff acc fffffffccfff ecc fffffffcffff cce ffffffccffff cca fffffacfffff ecc fffffcafffff cc ffffccffffff cca ffffcaffffff acc fffccfffffff ecc fffcffffffff cce ffffffffffff cca ffffffffffff acc ffffffffffff ecc ffffffffffff cce ffffffffffff aca ffffffffffff ecc ffffffffffff cce ffffffffffff cca ffffgbffffff acc ddddgbdddddd ecc gbd cce gbb c bbb bbb bgbd bgbb bgdb bd b bd bg bf bb bf fb b bf b bg b gb fb fb fb bf db bg fdgbbbbbbbbbbbgd db gb fdgbbbbbbbbbgdf fdgbbbbbbbbgdf gb fb fdgbbbbbbbbbgdf fgbbbbbbbbbg gb bf fgbbbbbbbbbbgdf fdgbb gb bb fdgbbbbbbbbbbgf bb gbfdgbbbbbbbbbgdf bb fbbbbbgdf bg bg bd bd bf ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#c676ebff b,#06c34fff c,#9909ddff d,#6edb98ff e,#dbabf3ff f,#eed6f9ff g,#b042e4ff ``` ```image ccca accc fccce gccg ecccf gcca ecccf ccca accc fccce gccg ecccf gcca ecccf ccca accc fccce gccg ecccf gcca ecccf ccca accc fccce gccg gccf ea dd dbbd dbbd ``` <!-- 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
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#bd60e8ff b,#07c350ff c,#9a0bddff d,#80e0a5ff e,#e1b8f4ff f,#c0efd2ff g,#41d179ff ``` ```image a cc eccce ec acc ec ecc ec cce ec cca ec acc ec ecc ec cce ac cca ac ecc ac cce ac cca ac acc ac ecc ac cce ac cca cc acc cc ecc ece cca cc acc ac ecc ca cce cc cca ca acc cc ecc ece cce cc ccc ac ecc ca cce cc cca ca acc cc ecc ece cce cc cca ac acc ca cce cc cca ca acc cc ecc ce cce cca acc ecc cce acc ecc cce cca db acc db ecc gbd cce gbb c bbb bbb bgbd bgbb bgdb bd bf bd bg bf bb bf db b bf b bg b gb fb fb fb bf f db bg fdgbbbbbbbbbbbgdf db gb fdgbbbbbbbbbgdf fdgbbbbbbbbgdf gb fb fdgbbbbbbbbbgdf fdgbbbbbbbbbgf gb bf fdgbbbbbbbbbbgdf fdgbbf gb bb fdgbbbbbbbbbbgdf bb gbfdgbbbbbbbbbgdf bb fbbbbbgdf bg bg bd bd bd ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#4af54eff b,#629221ff c,#9acb93ff d,#ebf6eaff e,#74f177ff f,#85af5bff g,#b1d8b0ff ``` ```image ddgggcc ddgggccfffbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbfffccggddd bd dbccggddd bg bf bf cb fb bg cb bb gb gb b bc b bb bd db bg bf bf fb fb dbd cb bf db fb b dbd b dddddddddddddddddbb bd dcgggggggggggggggfbd bc dggggggggggggggggbfd dddddddbfddddddddd dgggggggggggggggbbgd cgggggggfbggggggggg dggggggggggggggcbggd cgggggggfbggggggggg dggggggggggggggbfggd cgggggggcbggggggggg dgggggggggggggbbgggd cggggggggbggggggggg dggggggggggggcbggggd cggggggggbggggggggg dggggggggggggbfgeggd cggggggggbcgggggggg dgggggggggggfbgaaggd cggggggggbfgggggggg dgggggggggggbceaaagd cggggggggbbgggggggg dggggggggggbbgaegacd cggggggggfbgggggggg dgggggggggfbgaaggead cggggggggcbgggggggg dgggggggggbcgaggggag cggggggggcbgggggggg dggggggggbbgaaggggea cgggggggggbgggggggg dgggggggfbgcaggggggag cggggggggcbgggggggg dgggggggbfgaeggggggga cgggggggcaacggggggg dggggggbbgeagggggggdae cggggggcaaafggggggg dgggggcbggacgggggggdda cggggggaeeabggggggg dgggggbfgaaggggggggd aa cgggggaegcabggggggg dggggbbggagggggggggd dad cggggaegggabggggggg dgggcbcgaagggggggggd ea cgggaaggggabggggggg dgggbbgeaggggggggggd ad cggaagggggabggggggg dggfbggaeggggggggggd ea cgaaggggggabggggggg dggbcgeagggggggggggd ag caagggggggabcgggggg dgbbggacgggggggggggd ga aaggggggggaafgggggg dfbggaaggggggggggggd ae aagggggggggaabgggggg dbcgcagggggggggggggd ga aacgggggggggeabgggggg bbggaeggggggggggggcd ae aa cgggggggggcabgggggg fddgadddddddddddddd da aa cgggggggggcabgggggg ag aa ea cggggggggggabgggggg ea ad ead cggggggggggabcggggg dad ea ead cggggggggggabfggggg aa ag ead cggggggggggabfggggg da ea gad cggggggggggaabggggg ae ag gad cggggggggggaabggggg d ga gag cggggggggggeabggggg ae dag cggggggggggeabggggg da dag cggggggggggcabggggg aa dae cgggggggggggabcgggg dad dae cgggggggggggabfgggg aa dae cgggggggggggabfgggg ad ae cgggggggggggafbgggg ea aa cgggggggggggafbgggg ag aa cgggggggggggaebgggg ga aa cgggggggggggaebgggg ae aa cgggggggggggeabgggg ga aa cgggggggggggeafgggg ae aa cgggggggggggcaggggg da aa cggggggggggggaggggg aa aa cggggggggggggaggggg aea gccccccccccccaccccc ea ad ag ae ee ea ga da a a a ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#4bf74fff b,#639121ff c,#adc58bff d,#e4f4dfff e,#7ff882ff f,#85a952ff g,#beeeb6ff ``` ```image f cb dbb fbb cbbf dbbbd fbbc gbbf bbbd cbbc gbbf fbbg cbbc dbbbd fbbg cbbf dee dbbbd eaag fbbc gaaaa gbbf aaaaag dbbbd gaaeaaad fbbc daaa gaae gbbf eaag aaa bbbd daae gaa cbbc eaad ea dbbb gaae da fbbg aaad e cbbf eaag d dbbbd daaa fbbg eaag cbbf gaae dbbbd aaad fbbc gaae gbbf daaad bbbd eaag cbbc daaa gbbf eaag fbbg gaae cbbc aaad dbbbd gaae fbbg daaa cbbf eaag dbbbd daae fbbc eaad gbbf gaae dbbbd aaad fbbc eaag gbbf daaa bbbd eaag cbbc gaae dbbb aaad fbbg gaae cbbf daaad dbbbd eaag fbbg daaa cbbf eaag bbbd gaae ``` <!-- end of image --> The lines within area A do not intersect. Hmm, interesting. Let's check out another area. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#4bf54dff b,#61911fff c,#b8e7acff d,#daf5d5ff e,#7df57eff f,#9ebc76ff g,#71ad41ff ``` ```image gbg fbb fbbd cbbd cbbc dbbf bbf bbg gbg fbb fbbd cbbd dbbc dbbf bbf gbg gbb fbb fbbd cbbc dbbc dbbf bbf gbg gbb dabb daaabd daaaabc daaaaabc daaaaaabf daaaecaabf daaae caabg daaae daagb aaae daagb eaae daagbd eaae aaabc eaae aaabc eaae eaabf eaaa eaabf eaaad eaabg eaaad caabb eaaad caabbd caaad daagbd caaad daagbc caaad aagbf aaad aaabf aac aaabg ac eaabg c eaabb eaabbd caabbd caabbc daagbf daagbf aaabg aaabg aaabb eaabbd eaabbd eaabbc caabbf caagbf daagbg daagbg aaabb aaabbd eaabbc eaabbc eaabbf caabbf caagbg daagbb daaebb daaebbd aaebbc aaebbc eaabbf eaabbf eaagbg caagbb caafbb daaebbd daaebbc aaebbc aaebbf aaebbf eaagbg eaafbb eaafbb caacfc caad daac daac aae aae aae eaa ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area B. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4bf64eff b,#629220ff c,#b5cb96ff d,#ddf4d8ff e,#7cf77eff f,#8bae5bff g,#b3f5b1ff ``` ```image dddcccc dddcccffffbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbfffcccgdd bd bcccgdd bc bf bf cb fb bg cb bb db cb b bc b bb bd db bc bf bf fb fb dbd cb bf db fb b bd b bb bd cb bc bc bf bb fb gb cb bc db fb b db b bfde bd fb aa bc bdgaaa bf bf ag ad fb cb ea ea cb bg ad ag db bb aa ea b cb da ag db bc ae ga daag bb ea ae daaac db ad da daegaf bf aa aa ae dab fb da a ae ab dbd ae aa ae ab bf ga ad aa ab fb ag ea aa abd bd ea ag aa abc bb ad ga aa aaf cb aa ae aa eab bc da da aa eab bb ae ae aa gab f ga da aa dab ag aa ea ab ea ad ea abd ad ea ea abc aa ag ead abf da ea gad aab ae ag gad aab d ga gag eab ae dag gab da dag gab aa dae dabd a dae abc aa ae abf ad ae afb ea aa aeb ag aa aeb ga aa aeb ae aa eab ga aa gac ae aa da da aa a aa aa a aaa a ea ad ag ae ae ea ga da a a a ``` <!-- end of image -->
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Let's examine this image for potential line intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#1f495aff b,#e53a52ff c,#afd3b1ff d,#ee7d8dff e,#4e707bff f,#ebdee1ff g,#849da2ff ``` ```image fbf bb dbf bb dbf bb bbf bb bbf bb cccccccbbgcc ccccccccbbcc ccccccccbbcc cccccccccbbc cccccccccbbc ccccccccccbb ccccccccccbbf f cccaeccccccbb dbd cccaaccccccbb fbbb cccaacccccccbb dbbd ccceacccccccbb fbbb cccgagccccccfbd dbbd ccccaecccccc bb fbbb ccccaacccccc fbd dbbd ccccaacccccc bb fbbb cccceacccccc fbd dbbd ccccgaeccccc bb fbbb aa fbd dbbd aa bb fbbb f aa fbd dbbd gag gaf bb fbbb aaa fag dbd dbbd faae aa bb fbbb gaac aa dbd dbbd aaa ea bb fbbb faae cac dbd dbbd gaag ae bb fbbb aaaf aa dbd dbbd faaa aa bb bbb gaag ea dbf dbbd eaaf fag bb bbb aaa ae dbf dbbd caag aa bb bbb eaaf aa dbf dbbd aaa gaf bb bbb caag fag dbf dbbd eaaf aa bb bbb aaa aa dbf dbbd caae ea bb bbbf eaaf cac bbf dbbd aaa ae bb bbbf faae aa bbfdbbd eaac aa bbbbf aaa ea bbd faae cac gaac ae aaa aa faae aa gaac gaf aaa fag faae aa gaac aa aaa ea faaa gaf gaag ag aaaf aa faaa aa gaag ea eaaf cac aaa ae caag aa eaaf aa aaa ga caag fag eaaf aa aaa aa caae aa eaaf gafaaa faaae aac f ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1e4859ff b,#e63b53ff c,#a0b1b9ff d,#f196a2ff e,#446774ff f,#d3dbdeff g,#718c96ff ``` ```image bbbb dbbbd bbbb dbbbd bbbb dbbbd bbbb dbbbd bbbb dbbb bbb dbb bb fgeac db aaag b eaae d gaaa caaaf faaac aaag eaaa gaaaf caaac faaag eaae gaaa caaaf faaac aaag eaae gaaa caaaf faaac ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#1f495aff b,#e63a52ff c,#b3c1c7ff d,#ee7d8dff e,#4e6f7cff f,#eedfe3ff g,#8198a2ff ``` ```image fbf bb dbf bb dbf bb bbf bb bbf bb bbf bb bb bb bb fbb bb f ag fbb dbd aa bb fbbb aa fbb dbbd ea bb fbbb cac fbd dbbd ae bb fbbb aa fbd dbbd aa bb fbbb ga fbd dbbd fag bb fbbb aa fbd dbbd aa bb fbbb f aa fbd dbbd gag gaf bb fbbb aaa fag dbd dbbd faae aa bb fbbb gaac aa dbd dbbd aaa ea bb fbbb faae cac dbd dbbd gaag ae bb fbbb aaaf aa dbd dbbd faaa aa bb fbbb gaag ea dbf dbbd eaaf cac bb fbbb aaa ae dbf dbbd caag aa bb bbb eaaf aa dbf dbbd aaa gaf bb bbb caag fag dbf dbbd eaaf aa bb bbbf aaa aa dbf dbbd caae ea bb bbbf eaaf cac bbf dbbd aaa ae bb bbbf caae aa bbfdbbd eaac aa bbbbf aaa ea bbd faae cac gaac ae aaa aa faae aa gaac gaf aaa fag faae aa gaac aa aaa ea faaa gaf gaag ag aaaf aa faaa aa caag ea eaaf cac aaa ae caag aa eaaf aa aaa ga caag fag eaaf aa aaa aa caae aa eaac gafaaa faaae aac f ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4f3a1aff b,#968f8dff c,#2c2e53ff d,#deddddff e,#5e5f7bff f,#bab7b7ff g,#77674eff ``` ```image c ccce dcccccd ccccce fcccccf cccccc dcccccb ecccccd dccccce bcccccf decc cccccc bcccccc fcccccb fccccccccccf eccccc decccccccccced dccccce bcccccccccccf ecccccd fcccccccccccb ccccce decccccccccced bcccccf bcccccccccccf cccccc fcccccccccccb fcccccb decccccccccced ecccccd bcccccccccccf dccccce fcccccccccccb bcccccecccccccccced ccccccccccccf fccccccb eed d aag gaaa aaaab gaaaaa aaaaaaf baaagaaa aaab aaad faaa gaaa aaag aaa daaa aaag aaag daaa aaa aaab gaaa faaa aaad aaaf gaaa baaa aaaf aaad baaa gaaa aaab aaa faaa aaaad aaab daaaaaf daaa gaaaaaab fg gaaaaaab baaaaaag baaaaaag faaaaaaa faaaaaaad daaaaaaaf aaaaaaaf dgd gaaaaaab baaaad gaaaaaab gaaaaaaa baaaaaag faaaaaaaaaaa baaaaaag gaaaaaaaf daaaa faaaaaaad daaaaaaaad daaag daaaaaaad baaaaaaab fab daaaaaaaf gaaaaaaaf d aaaaaaaffaaaaaaag gaaaaaaaaaaab gaaaaaaad baag ``` <!-- end of image -->
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Let's examine this image for potential line intersections. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#524ae4ff b,#59f04dff c,#b0d8b0ff d,#ccc9f6ff e,#ebf7ecff f,#8ee089ff g,#8b8ae5ff ``` ```image d ga ead aa dae ag ga dad ag ga ead aa dae ag ga dad ag ga ead aa dad ag gae ag ga ead aa dad ag gae ag ga ead aa dad ag gae ag ga ead aa dad ag ga ag d eeeeeeeegaeeeeeeeeeeeee da eccccccccccagcccccccccccda ebe ecccccccccccaacccccccccga fcbbceccccccccccccgaccccccccae fe fbfcccccccccccccaacccccace b efbbccccccccccccgacccacce b eccfbbccccccccccccagaccce b ecccccbbcccccccccccgcccce b ecccccccbbfccccccccccccce b ecccccccccbbfccccccccccce b ecccccccccccfbbccccccccce ef ecccccccccccccfbbccccccce ef eccccccccccccccccbbccccce cc eccccccccccccccccccbbfcce c fe eccccccccccccccccccccbbfe ff b eccccccccccccccccccccccfbf be b ecccccccccccccccccccccccecb b b eccccccccccccccccccccccce cb ebbe b eccccccccccccccccccccccce be cb ebb b fffffffffffffffffffffff b fb cbc b eb bf fbe b bc bc bb ef b ebe ebf cc eb eb cbc fe fbb fbe fe f bb b ebf b cbc b fbe b bb b ebf b cbc ef fbcf bc ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#5148e4ff b,#58f14bff c,#b6f8b0ff d,#c3c1f5ff e,#e2f7e4ff f,#86f47dff g,#8a84ecff ``` ```image gaad daage egaad gaag daaad gaag d daaae da gaad daa bce daage daad bbbfe egaad daad cbbbfe gaag daad cbbbfc daaad daad cfbbbc gaagaad efbbbce daaad efbbbfe gd ecbbbfe cbbbfc cfbbbc efbbbce efbbbfe ecbbbfe cbbbfc cfbbbc efbbbce efbbbfe ecbbbfe cbbbfc cfbbbc efbbb efb e ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#5249e4ff b,#57f14bff c,#b4f8aeff d,#cdcbf7ff e,#dcfbd9ff f,#85f47bff g,#8e89edff ``` ```image d ga ad aa da ag ga dad ag ga ad aa da ag ga dad ag ga ad aa dad ag ga ag ga ad aa dad ag ga ag ga ad aa dad ag ga ag ga dad aa dad ag ga ag d ga da dad da ebe aa da ccfbc dad da fe fbc ag da b cbf ga da b ebb aga b ebbe g b bbc b fbc b cbf f cbb ef ebbe cc bbc e fe fbc ff b cbf be b cb b b cf ebb b be cb bf b b fb ebc b eb bf fbe b fc bc bb ef b be ebf cc eb eb cbc fe ffb fbe f f bb b ebf b cbc b fbe b bb b ebf b cbc ef fbcc be ``` <!-- end of image -->
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No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#df3c4dff b,#324902ff c,#b3bba1ff d,#738252ff e,#efa3abff f,#ead6d3ff g,#e7727eff ``` ```image f aaa aaaa aaaaae aaaaaaa aaaaeaaa gaaag aaae gaaag eaaa eaaaa aaa faaaa aaae faaaa eaaa aaaa aaa aaaa aaae aaaa eaaa aaaaf aaa aaaaf aaae gaaae eaaa gaaag aaa eaaag aaaf eaaaa eaaa faaaa aaa aaaa aaaf aaaa gaaa aaaa aaa aaaa aaaf gae aaaaf gaaa aaaf aaaae aaa aaa gaaae aaaf gaaa gaaag gaag aaaf eaaag aaa aaa faaaa aaaf gaaa faaaa gaag aaaf aaaa aaa aaa aaaa aaa eaaa aaaa gaag aaaf aaaaf faaa aaa aaaaf aaa eaaa aaaae gaag aaae gaaag faaa aaa gaaag aaa eaaa eaaaa aaag aaae af faaaa faaa aaa aaag faaaa aaa eaaa faaaaaf aaaa aaag aaae aaaaaa aaaa faaa aaa faaaaaeaaaa aaa eaaa aaaaaaaaf aaae aaae faaaaaf faaa aaa gaae aaa eaaa fdbf aaae aaae cbbbbbbf eaaa aaa dbbbbbbbbbbc aaa faaa c fdbbbbbbbbbdbbbbc aaae aaag bbbf cbbbbbbbbbbd bbbbc eaaa aaa bbb dbbbbbbbbbbc bbbbd aaafaaa bbb cbbbbbbbbbbdf bbbbb aaaaaag cbbb dbbbbbbbbbbc bbbbbc eaaaaa dbbd fdbbbbbbbbbdf dbbbbb aaaaa bbbf cbbbbbbbbbbd fbbbbbf aaaag bbb dbbbbbbbbbbc dbbbbd eaaa bbb bbbbbbbdf cbbbbb aaa cbbb bbbbc bbbbbc eaf dbbd ff dbbbbb bbbf fbbbbbf bbb bbbbbd bbb cbbbbb cbbb bbbbbc dbbd dbbbbd bbbf fbbbbb bbb bbbbbd bbb cbbbbb cbbb bbbbbf dbbd dbbbbd bbbf fbbbbb bbb bbbbbc bbb cbbbbb cbbb bbbbbf dbbd dbbbbdbbbf fbbbbbbb bbbbbb cbbbb bbf ``` <!-- end of image -->
[ "" ]
This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#689016ff b,#a5bc78ff c,#304f0eff d,#e1e9d3ff e,#7c8f66ff f,#c3d0aaff g,#88a847ff ``` ```image f da ad gab ba aga ad a a ga da ag a ba da ga af ad a a ga ag da a a ba af ab ab ba da a a ab a ab fa ba fa af ab a fa ad ag af a da ba fa ad ad ab ga ga ad a a a af ga fa ba a gg a ag ad ab a a fa ag fa a da gg ag ab af da da a ad af da ga fa gg a af af af ba a ba ad da a ba faf ab ad bad fa ga ga aa a aa aad gg aa bad a aa d ag dag da dab ab faf da bad ab ga fa aa af aa fa aa ad dag ba dab ad faf ga gad a ga ga aa b a aa cc ag aa cc a dag cc agab cc daf cc cc cc cc cc cc cc cc cc cc cc cc cc fecccc cc feccccccef cc feccccccef cc feccccccef cc dfeccccccef cc dfbeaccccccccccef cc dfeeccccccccccceefd ccccccaebfd ``` <!-- end of image -->
[ "" ]
This is the image I'm working with. The goal is to count the intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#cc9727ff b,#537755ff c,#dcbb74ff d,#b2d6b2ff e,#e8dfc5ff f,#769378ff g,#98be97ff ``` ```image ddgffbbbbbbbb eddgfbbbbbbbbbbbbbbbbbbbbbbddd edgffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffggddd eedgfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfgddegddddddddddddddd edggfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffgde gddddddddddddddd gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfggde gddddddddddddddd bbbbbbbbbbbbbbbbffgdee gddddddddddddddd dbbbfggde gddddddddddadddd bbb gdddddddddaaaddd bbb gddddddddcaaaddd bbd gddddddddaaadddd fbb gdddddddaaaddddd bbb gddddddaaacddddd bbg gdddddaaaadddddd gbb gddddcaaaddddddd bbb gdddgaaadddddddd bbf gdddaaaddddddddd ebbe dggaaagggggggggg fbb aaac bbb caaa bbd eaaa fbb aaa bbb aaae bbg aaac dbb aaaa bbb caaa bbf eaaa ebbe aaa fbb aaae gbb aaac caaa eaaa aaa aaae aaac caaa eaaa aaa aaae aaac aaaa caaa eaaa ce aaa caae aaae aaaa aaac aaaaa caaa caacaaa eaaa aaa aaaa aaa eaae aaac aaae aaa aaae aaac aaa aaa caaa caa eaaa eaaa aaa caaa aaa aac aaaa aaae caa aaac aaac aaa aaae aaaa eaae aaa caaa aaa eaaa eaaa aaa caaa aaa caa aaaa aaae aaa aaac aaac aac aaae caaa aaa aaa eaaa aaa eaaa aaa eaae caaaaae aaa aaaac aac aaa caa e aaa aac aaa aaa eaae aaa aac caa aaa eaac aaa eaa ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#cc9626ff b,#537755ff c,#e5cb93ff d,#b1c1b2ff e,#e8e3cfff f,#829c84ff g,#d8b05bff ``` ```image eeddddfffbbbbbbbbbbbbbbbbbe bbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbffffdddee bbbbfffddddeee eae eaaac gaaaag gaaaaaae caaaaaae eaaaaaac eaaaaaag aaaaaag gaaaaaa caaaaaae caaaaaac eaaaaaac aaaaaag gaaaaaa gaaaaaae caaaaaae eaaaaaac eaaaaaag gaaaaag gaaaaaae ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#cc9626ff b,#537755ff c,#e1c180ff d,#afbfb0ff e,#e7dfc6ff f,#819b83ff g,#d4a84cff ``` ```image eddfbbbbbbbbb eddffbbbbbbbbbbbbbbbbbbbbbb eddffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdde eedffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdee eddffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdde dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdde bbbbbbbbbbbbbbbbbfddee ebbbffdde a bbb gaa bbb caaa bbd eaaa fbb aaa bbb aaae bbf aaag dbb caaa bbb eaaa bbf aaa ebbe aaae bbb aaac bbb gaaa bbd eaaa fbb aaa bbb aaae bbf aaac dbb gaag bbb caaa bbf eaaa ebbe aaa bbb aaae dbb aaag caaa eaaa aaa aaae aaac gaaa eaaa aaa aaae aaac gaag caaa eaaa ce aaa caae aaae aaaa aaag aaaaa caaa gaacaaa eaaa aaa gaag aaa eaae aaac aaae aaa aaae aaac aag aaa gaaa caa eaaa eaaa aaa caaa aaa aac gaag aaae gaa aaac aaac aaa aaae gaag eaae aaa caaa aaa eaaa eaaa aag caaa aaa caa gaag aaae aaa aaac aaag aac aaae caaa gaa aaa eaaa aaa eaaa aaa eaae caaaaae aaa aaaac aag aaa caa e aaa aac gaa aaa eaae aaa aag caa aaa eaac aaa caa ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#463aadff b,#342352ff c,#6e65bfff d,#cecbe3ff e,#9b94c9ff f,#55476eff g,#7b718fff ``` ```image d gbf ffged bbbb gbbbbbbbbbbbfged dbbbf bbbbbbbbbbbbbbbbbbbbbbfged gbbbe gbb degfbbbbbbbbbbbbbbbbbbbbfged bbbb bbg degfbbbbbbbbbbbbbbbbbbbbfged dbbbf fbb degfbbbbbbbbbbbbbbbbbbbbfged gbbbe bbg degfbbbbbbbbbbbbbbbbbbbbfged bbbb fbb degfbbbbbbbbbbbbbbbbbf bg degfbbbbbbe ddddeeeeccccaaaaaaaaaaaaaaaaad eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae eaaaaaaaaaaaaaacccceeeedddd aae aae d aae caa aae daaa aae aaaac aae aaacaa aac eaaedaa aac aaa aae aac aaa aaa aac caad daa aac daac aad aac aaa aaa aac aaa eaa aac eaad aad aac daac aac aac aaa caa aac aaa aa aac eaae aae aac aaa aaa aac aaa daa aac caad aad aac daac aaa aac aaa eaa aaa aaa aad aaa eaad aac aaa aac caa aaa aaa aa aaa aaa aae aaa eaae caa caa aaa daa caa aaa aae caa caad aaa caa daac eaa caa aaa aad caa aaa aac caa eaae eaa caa aaa aa caa aaa aac caa caa caa caa daae dad caa aaa caa aaa caa caad caa daac caa aaa caa aaa eaa eaae eaa aaa eaa aaa eaa caad eaa daae eaa aaa eaaaaa eaaaad eaaac eaaa eaa cd ``` <!-- end of image -->
[ "" ]
This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#1468a7ff b,#312321ff c,#a8bac8ff d,#8c8483ff e,#5893c0ff f,#d5dce3ff g,#5a4f4eff ``` ```image ff ceaaaaaaa ceaaaaaec eac caec faaf ac cae a aac ea faa af eae a aac ee faa a eae fa aaf ae faa a eae ca aaf ac caa a eae a ea aaf fa af caa ac a aac ceaaa ee faaf ceaaaaaecf a cae fceaaaaaec fa aaaaec ae a ca ac a ea af a ee a fa ae e f dbbb dbbbc b cbbbc b cbbbd b fbbbd bc fgbbd gd fgbbg dg gbbg cb dbbgf fb dbbbf b dbbbc b bggdddccff cbbbc b dddggbbbbbbbbbbbbbbbbbbbggdddcbbbd bc ffccdddggbbd gd dg cb b b b bf bc gd dg cb b b b bf bc gd db fb b b bf b bg bf db bd fb gg bf db bd fb gb bdb bb bc ``` <!-- 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,#dfd06bff b,#2fe136ff c,#ecf2d1ff d,#60e766ff e,#e4dd98ff f,#b1d9b0ff g,#93d294ff ``` ```image cdf bbbbbbf bb fbbbbbbg bb fdbbbbbdc bbc cdbbbbbdf dbf cgbbbbbdf gbd gbbbbbbg fbd fbbbbbbgc cbb fdbbbbbdc bb cdbbbbbdf bb cgbbbbbbf bb gbbbbbbg bbc fdbbbbbgc dbf fdbbbbbdc dbg cdbbbbbdf fbd gbbbf cbb gggggggbbggggggf ffffffbbfffffffg fffffbbffffffffg ffffbbgffffffffg fffbbgfffffffffg fffbdffffffffffg fffffffffffffffg ffffffeeeeeeeeeaeeeeeeeeeaaaaaaaaaaaaac fffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae fffffffffffffffg aa fffffffffffffffg aa fffffffffffffffg ea fffffffffffffffg ca fffffffffffffffg ac fffffffffffffffg ae fffffffffffffffg aa gggggggggggggggf aa ea ca ac ae aa aa ea ca cae ac eaaae ae aa aaae aa ae aaac aa ac aaac ea ca caaac ca ea caaac ac aa caaa ae ae caaa aa ac eaaa aa ca eaaa ea ea eaae ca aa eaae ac ae aaae ae ac aaae aa ca aac aa aa ea aa ca ae ac ac ae ea aa aa aa aa ea ae ca a a ea ac aa ae aa aa ae ea ca ca ea a aa acaa aeac aaa aaa eaa cae ac ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#dfd069ff b,#30e137ff c,#efe8b9ff d,#65e86aff e,#e7dc91ff f,#aaf2adff g,#e7fae5ff ``` ```image gbbbbf dbbbf dbbbf dbbbd fbbbd fbbbdg fbbbbg gbbbbg gbbbbf gdbbbf gdbbf dd gccccccccccccccccccccccce eaaaaaaaaaaaaaaaaaaaaaaaa eaaaaaaaaaaaaaaaaaaaaaaaa eaaeeeeeeeeeeeeeeeeeeeeee ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#dfd06aff b,#30e137ff c,#efe7b6ff d,#6fe974ff e,#e6db8fff f,#adf2b0ff g,#ecf6ddff ``` ```image gdf bbbbbbf bb fbbbbbbdg bbg fdbbbbbdg bbg gdbbbbbdf dbf gdbbbbbbf dbd fbbbbbbf fbb fbbbbbbdg gbb fdbbbbbdg bb gdbbbbbdf bb gdbbbbbbf bb fbbbbbbf bbg fbbbbbbdg bbf fdbbbbbdg dbd gdbbbbbdf fbd gdbbbf gbb gbb bb bb bbg bbf gbf gccccccccccceeeeeeeeeeeaaaaaaaaaaaag aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae aa ea ca ga ac ae aa aa ca ga ac ae aa aa ca ga gae ag eaaae ae aa aaac aa ae aaac aa ag aaac ea ca gaaag ga ea gaaag ag aa gaaag ac ae caaa aa ag caaa aa ca caaa ea ea eaae ca aa eaae ag ae eaae ac ag aaac aa ca aac aa aa ea aa ca ac ag ag ac ca ae aa aa aa ea ac ca gag ag ca ac aa ae aa aa ac ea ga ca ca ga aa acae aeac aaa eaa caa gae ac ``` <!-- end of image -->
[ "" ]
I'm curious to see if this image contains any intersection points. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#c136c1ff b,#0ce681ff c,#eef4f0ff d,#57e4a1ff e,#ce8bcfff f,#b1d7b2ff g,#a1d0a3ff ``` ```image c cae aaa aaa eaa caac aae aaa eaa caac aae aaa eaa caac aae aaa aaa eaac aae c aaa caa aaa aaa eaac aaa caae eaaa aaa bb cgggaaaaggggggggggggggggggggggggggggggggaaaggbbbgc cgffaaaafffffffffffffffffffffffffffffffeaaffbbbbdc cgfaaaaafffffffffffffffffffffffffffffffaaefdbbdbbc cgfaafaaffffffffffffffffffffffffffffffaaafgbbdfbbc ac cgeaafaafffffffffffffffffffffffffffffaaaffbbbffbbc eaa cgaaefaaffffffffffffffffffffffffffffeaaffbbbfffbbd aaa cgaaffaaffffffffffffffffffffffffffffaaefbbbffffdbb aaa caaaffaafffffffffffffffffffffffffffaaafbbbffffffbb caae caafffaaffffffffffffffffffffffffffaaafdbbgffffffbbc eaa eaafffaafffffffffffffffffffffffffeaafdbbdfffffffbbd aaa aaefffaafffffffffffffffffffffffffaafgbbdffffffffdbb aaa caaffffaaffffffffffffffffffffffffaaafbbbfffffffffgbb caae aaaffffaafffffffffffffffffffffffaaafbbbffffffffffgbbc eaa aagffffaaffffffffffffffffffffffaaafbbbfffffffffffgdbd aaa eaagffffaaffffffffffffffffffffffaafbbbffffffffffffgfbb aaa aaegffffaafffffffffffffffffffffaaedbbgffffffffffffgcbb caae aacgffffaaffffffffffffffffffffaaagbbdfffffffffffffgcbbc eaa aaacgffffaafffffffffffffffffffaaafbbbffffffffffffffgcdbd aaa aaccgffffaaffffffffffffffffffeaafbbbfffffffffffffffgccbb aaa eaa cgffffaaffffffffffffffffffaaebbbffffffffffffffffgc bb caae aae cgffffaafffffffffffffffffaaabbbfffffffffffffffffgc bbc eaa aa cgffffaaffffffffffffffffaaadbbgfffffffffffffffffgc dbd aaa eaa cgffffaafffffffffffffffeaagbbdffffffffffffffffffgc cbb aaaaac cgffffaafffffffffffffffaaebbdfffffffffffffffffffgc bb caaaa cgffffaaffffffffffffffaaabbbffffffffffffffffffffgc bbf eaae cgffffaafffffffffffffaaabbbfffffffffffffffffffffgc dbd aa cgffffaaffffffffffffeaabbbffffffffffffffffffffffgc cbb cgffffaaffffffffffffaagbbgffffffffffffffffffffffgc bb cgffffaafffffffffffaaabbgfffffffffffffffffffffffgc bbf cgffffaaffffffffffaaabbdffffffffffffffffffffffffgc dbb cgffffaafffffffffeaabbbfffffffffffffffffffffffffgc cbb cgffffaafffffffffaadbbffffffffffffffffffffffffffgc bb cgffffaaffffffffaaabbfffffffffffffffffffffffffffgc bbf dc cgffffaafffffffaaabbffffffffffffffffffffffffffffgc dbb bbb cgffffaaffffffeaabbgffffffffffffffffffffffffffffgc cbb bbb cgffffaaffffffaadbdfffffffffffffffffffffffffffffgc bb cbbd cgffffaafffffaaabdffffffffffffffffffffffffffffffgc bbf fbbc cgffffaaffffaaabbfffffffffffffffffffffffffffffffgc gbb dbb cgffffaafffaaabbffffffffffffffffffffffffffffffffgc bb bbb cgffffaafffaadbfffffffffffffffffffffffffffffffffgc bb bbd cgffffaaffaaabgfffffffffffffffffffffffffffffffffgc bbd cbbf cgffffaafaaabgffffffffffffffffffffffffffffffffffgc fbb dbbc cgffffaaaaabdfffffffffffffffffffffffffffffffffffgc bb bbb cgffffaaaabbffffffffffffffffffffffffffffffffffffgc bbc bbb cgffffaaaebfffffffffffffffffffffffffffffffffffffgc bbd cbbd cgffffaaabffffffffffffffffffffffffffffffffffffffgc fbb fbbc cgffffaabfffffffffffffffffffffffffffffffffffffffgc c dbb cgfffbbbgfffffffffffffffffffffffffffffffffffffffgc bbb cgffbbbgffffffffffffffffffffffffffffffffffffffffgc bbd cgfbbbgfffffffffffffffffffffffffffffffffffffffffgc cbbf cgbbbfffffffffffffffffffffffffffffffffffffffffffgc dbbc cbbbffffffffffffffffffffffffffffffffffffffffffffgc bbb fbbbggggggggggggggggggggggggggggggggggggggggggggggc bbb dbbbccccccccccccccccccccccccccccccccccccccccccccccc cbbddbbd fbbbbf dbbf dc ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#d26fd2ff b,#0de682ff c,#c235c1ff d,#55eda7ff e,#e6aee6ff f,#b0f5d6ff g,#668ea1ff ``` ```image ccccccce eccccce fbbbbd eccccccce ccccce fbbbbbb accccccce acccca bbbbbbbf cccccccce eccccc dbbbbbbbf ecccccccce eccccc dbbbbbbbbd ccccacccce ccccce fbbbbbdbbbb eccccecccce acccca fbbbbbffbbbb acccc cccce acccca fbbbbbf bbbb cccca cccce eccccc bbbbbd dbbb ecccc cccce ccccce dbbbbd fbbb cccca cccce acccca dbbbbb fbbb ecccce cccce acccca dbbbbbf bbb acccc cccce eccccc fbbbbbf dbb cccca cccce ccccce fbbbbbf fbb ecccce cccce acccca fbbbbbd fbb cccca cccce acccca bbbbbd bb ecccce cccce eccccc dbbbbd db acccc cccce ccccce dbbbbb fb cccca cccce ccccce fbbbbbf b ecccce cccce acccca fbbbbbf b accca cccce eccccc fbbbbbd d cccce cccce eccccce bbbbbd f cccc cccce ccccce dbbbbd ccca cccce acccca dbbbbb ccce cccce eccccc dbbbbbf ccc cccce eccccce fbbbbbf cce cccce ccccce fbbbbbf cc cccce acccca bbbbbd ca cccce eccccc bbbbbd ce cccce eccccce dbbbbb c accce ccccce dbbbbb e accce acccca fbbbbbf accce eccccc fbbbbbf accce eccccc fbbbbbd accce ccccce bbbbbd accce acccca dbbbbd accce acccca dbbbbb accca eccccc dbbbbbf accca cccccefbbbbbf accca accccafbbbbbf accca acccca bbbbbd accca eccccc bbbbbd accca cccccedbbbbb accca cccccadbbbbb accca accccafbbbbbf accca ecccccfbbbbbf accca ecccccebbbbbd accca cccccabbbbbd accca accccadbbbbd accca ecccccdbbbbb accca ecccccfbbbbbf accca cccccabbbbbf accca accccabbbbbf accca ecccccbbbbbd accca ecccccdbbbbd accca cccccgbbbbb accca accccabbbbbf accca ecccccbbbbbf accca ecccccbbbbbf accca cccccgbbbbd accca accccgbbbbd accca acccccbbbbd accca ecccccbbbbb accca cccccgbbbbf accca accccgbbbbf accca acccccbbbbf accca ecccccbbbbd accca cccccgbbbd eccca accccgbbbb eccca acccccbbbbf eccca ecccccbbbbf eccca cccccgbbbf eccca cccccgbbbd eccca acccccbbbd ecccc ecccccbbbb ecccc ecccccgbbb ecccc cccccgbbbf ecccc accccgbbbf ecccc ecccccbbbd ecccc ecccccbbbd ecccc cccccgbbd ecccc accccgbbb ecccc ecccccbbbf ecccc ecccccbbbf ecccc cccccgbbf eccccaccccgbbd ecccccccccbbd eccccccccbbb ecccccccgbb eccccccgbbf eccccccbbf ecccccbbd eccccgbd cccgbd bbgbbb fbbbbbbf fbbbbbbf fbbbbbbf fbbbbbbf dbbbbbd dbbbbbd dbbbbbd bbbbbbd fbbbbbbf bbbbbbf bbbbbf ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c75ecaff b,#0be781ff c,#c233c1ff d,#76eeb8ff e,#e3a6e3ff f,#bcf7dcff g,#3ae498ff ``` ```image ca cca ccc acc cce cca ccc acc ecce cca ccc acc ecc cca ccc acc ecc cce ccc cc acc ccc ecc ccc cce eccc cca bb cccc ccc bbb cccc ecc gbbbd acacc cce dbbdbb cc cc cca fbbd bb ce ecc cc ccc bbg bb ecc cce cc ecc bbb bbd ccc cc cc cce bbb dbb cca aca cc cca gbb bb cce cc cc ccc dbb bb ecc ecc cc acc fbbf gbd ccc cce cc ecce bbd fbb cca cc cc cca bbg bb cce aca cc ccc bbb bbf ecc cc cc acc bbb gbd ccc ecc cc ecc gbb fbb cca cce cc ccadbbf bb cce cc cc cccfbbd bbf ecc aca cc acc bbg gbg ccc cc cc ecc bbb fbb cca ecc cc ccebbb bb cce cce cc cccgbb bbf ecc cc cc accdbbf gbg ccc acc cc eccfbbf fbb ccacc cc ccebbg bb cccc cc cccbbb bbf ecce cc accbbb dbg cc cc eccgbb fbb cc ccdbb bb cc ccabbf bbf cc cccbbd dbg cc eccbbg bb cc ccgbb bb cc ccabb bbd g cc cccbb dbb gbb cc accbbf bb bbb cc ccgbd bb bbd cc ccabg bbd fbbf cc cccbb dbb gbb cc accbb bb bbb cc eccgb bb bbg cc ccab bbd fbbf cc cccbf dbb dbb ccaccbd bb bbb ccccgg bb bbb cccab bbd bbd cccb fbb fbbf acb f gbb bbbf bbb bbbf bbg bbb fbbf bbb dbb fbbb bbb fbbb bbb dbbg bbdgbbd fbbbbd gbbf d ``` <!-- 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,#7bd5e0ff b,#06b2c6ff c,#e3dcd6ff d,#3ec2cfff e,#b6e8edff f,#eff3efff g,#b0d6b0ff ``` ```image c ccc cccc fcccf fcccf cccc cccc cccc cccc fcccf fcccf cccc f cccc fcc cccc cccf cccc cccc fcccf fcccc fcccf ccccc cccc cccccf cccc cccccc cccc cccfccc cccc ccc ccc fcccf ccc cccf fcccf fccc fccc cccc ccc ccc cccc ccc ccc cccc ccc ccc cccc cccf fccf fcccf ccc cccc fcccf ccc ccccc cccc fffffccccfff cccccf cccc gggggcccggggf fccccc cccc gggggcccggggf ccccc cccc gggggcccggggf fccccf fcccf ggggcccgggggf fccccc fcccf ggggcccgggggf ccccc cccc ggggcccgggggf fccccf cccc gggccccgggggf ccccc cccc gggcccggggggf ccccc cccc gggcccggggggf fccccf fcccf gggcccggggggf ccccc fcccf ggcccgggggggf ccccc cccc ggcccgggggggf fccccf cccc gggccgggggggf ccccc cccc ggggggggggbbd ccccc cccc gggggggggdbbbba fccccf fccc gggggggggbbbbbbbf ccccc fcccf gggggggggbbbbbbbbb ccccccccc ggggggggdbbdfebbbbba fcccccc ggggggggbbbgf abbbbbe cccc ggggggggbbbgf bbbbbb cc gggggggdbbbgf fbbbbbd fffffffbbbef abbbbba bbb dbbbbbe ebbb bbbbbbe dbbe fbbbbbbf bbb ebbbbbd fbbb abbbbbd dbba dbbbbba aba bbb bbbbbbe bbbf bbb fbbbbbbf fbbb abbd ebbbbbb dbba bbbf abbbbbd bbb bbb abbbbba abbb abbd dbbbbba bbbe bbbe bbbbbbe fbbb bbb fbbbbbbf dbba ebbb ebbbbbb bbb dbbe abbbbbd ebbb bbb dbbbbba bbbe fdb dbbbbbe bbb fbbbbbbf dbbd ebbbbbb bbb ebbbbbd ebbb abbbbbd bbbe dbbbbba bbb bbbbbbe abbd fbbbbbbf bbbf ebbbbbbbbb abbbbbba dbbbb dba ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#7ed7e1ff b,#06b2c6ff c,#e3dcd6ff d,#39c1d1ff e,#c5edf1ff f,#f4f4f3ff g,#ece8e4ff ``` ```image gcccccf cccccc fcccccc gcccccg ccccccf fcccccc gcccccg ccccccf cccccc fcccccc gcccccg ccccccf fcccccc gcccccg ccccccf fcccccc fcccccg gcccccg ccccccf fcccccc gcccccg ccccccf fcccccc fcccccg gcccccg fgccf f edb fbbb abbb dbbb fbbbb ebbbb abbbb bbbbb ebbbbb abbbbb dbbbbb ebbbbbb abbbbbd dbbbbba fbbbbbbe ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8ddbe4ff b,#06b2c6ff c,#e3dcd6ff d,#5bccd9ff e,#c2ecf0ff f,#f0f1efff g,#2bbdceff ``` ```image c ccc cccc fcccf fcccf cccc cccc cccc cccc fcccf fcccf cccc f cccc fcc cccc cccf cccc cccc fcccf fcccc fcccf ccccc cccc cccccf cccc cccccc cccc cccfccc cccc ccc ccc fcccf ccc cccf fcccf fccc fccc cccc ccc ccc cccc ccc ccc cccc ccc ccc cccc cccf fccf fcccf ccc cccc fcccf ccc ccccc cccc fccc cccccf cccc ccc fccccc cccc ccc ccccc cccc fccc fccccf fcccf cccf ccccc fcccf ccc ccccc cccc ccc fccccf cccc fccf ccccc cccc ccc ccccc cccc ccc fccccf fccc fccc ccccc fcccf cccf ccccc cccc ccc fccccf cccc fc ccccc cccc fbbg ccccc cccc dbbbba fccccf fccc bbbbbbbe ccccc fcccf bbbbbbbbg ccccccccc dbbd ebbbbbd fcccccc bbbf dbbbbbe cccc bbb gbbbbb cc abbg ebbbbbg bbbe abbbbbd bbb gbbbbba ebbb bbbbbbe gbba ebbbbbbf bbb ebbbbbg fbbb abbbbbd dbba dbbbbba aba bbb gbbbbbe bbbf bbb fbbbbbbf fbbb dbbd ebbbbbb gbba bbbf abbbbbg bbb bbb dbbbbbd abbb abbg gbbbbba bbbe bbbe bbbbbbe fbbb bbb fbbbbbbf gbbd ebbb ebbbbbg bbb gbba abbbbbd abbb bbb dbbbbba bbbe fdb gbbbbbe bbb fbbbbbbe dbbd ebbbbbb bbb abbbbbg ebbb dbbbbbd bbba gbbbbba bbb gbbbbbe dbbg fbbbbbbf bbbf ebbbbbbbbb abbbbbba dbbbb gbd ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#135dfaff b,#e4c2ccff c,#7ca6f6ff d,#eeebefff e,#aed5afff f,#447ff6ff g,#b7cefcff ``` ```image ad aac faf caa daag aaf caa daag aaf faa gaad aac f faa dad gaad fa aac af faf ga caa aa daag ac aaf ca caa aa daag ag aac ca faa aa gaad eeeeeeeaeeeeeeee aac deeeeeefaeeeeeeee faa deeeeeeafeeeeeeee gaad deeeeeeaeeeeeeeee aag deeeeeaaeeeebeeee faf deeeeeafeeeebeeee caa deeeecaeeeeebeeee daag deeeeaaeeeeebeeee aaf deeeeaceeeeebeeee caa deeefaeeeeeebeeee daag deeeaaeeeeeebeeee aac deeeaceeeeeebeeee faa deefaeeeeeeebeeee gaad deeaaeeeeeeebeeee aac deeaeeeeeeeebeeee faa deaaeeeeeeeebeeee gaa deafeeeeeeeebeeee aag gadddddddddbdddd aaf aa db caa ac db daag ca bb aaf aa bb caa ag bb gaad ca bb aac aa bb faa dag bb gaafa bb aaf bb c bb bb bb bb bb bb bb dbb bbbb dbbbb bbbbd bbbb dbbbd bbbbd dbbbb bbbbd dbbbb dbbbd bbbb dbbbb bbbbd dbbbb dbbbd bbbb dbbbd bbbbd dbbbb dddddddddbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbbbddd ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#125cfbff b,#e3c1cbff c,#6a98fcff d,#c9dafdff e,#f2eef5ff f,#3b78fbff g,#97b7fcff ``` ```image eaaad gaaf faag eaaad gaaf faag daaae eee caac bbbe aaag bbbe daaa bbbe caac bbbe eaaad bbbe gaaf bbbe faac bbb eaaad bbb gaaf bbb faag bbb daaae bbb caaf bbb faag bbb daaae ebbb caac ebbb aaad ebbb gaaa ebbb caac ebbb eaaad ebbb gaaf ebbb faag ebbb daaae ebbb gaaf ebbb faag ebbb daaae ebbb ``` <!-- end of image --> I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#135dfbff b,#e3c1cbff c,#76a1fcff d,#d9e4fdff e,#f1dfe5ff f,#447ffbff g,#a8c3fdff ``` ```image ad aag faf gaa aag aaf caa daad aaf faa daad aac f faa dad gaad fa aag af faf ga gaa aa daag ac aaf ga caa aa daad ag aac ca faa aa daad ad aac fa faa af gaa dad e aag aa be faf ac b caa ga b daag aa b aaf ag b caa ca b daad aa b aac ag b faa fa eb gaad af eb aac dad eb faa fa eb gaa af eb aag ga eb aaf aa eb caa ac eb daag ca eb aaf aa eb caa ag bb daad ca bb aac aa bb faa dad bb gaafa bb aaf bb c bb bb bb bb bb bb bb ebb bbbb ebbbb ebbbe bbbb ebbbe bbbb ebbbe ebbbe bbbb ebbbe bbbb ebbbe ebbbe bbbb ebbbe bbbb ebbbe bbbbe ebbbb eeeeeeeeebbbbbbbbbbbbbbbbbbbe bbbbbbbbbbbbbbbbbbbbbbbbbbeeeee ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#53315cff b,#b2f4e8ff c,#a594aaff d,#866e8cff e,#dbf5f1ff f,#c7bccaff g,#6a4d72ff ``` ```image efcdgaaag efcdgaaaaaaaaaaaaaaa daaaaaaaaaaaaaaaaaagdcfe aaaaaaaaaadcff eaaaf caaa gaag aaac faaae daaa aaad eaaaf faaa gaaa aaad eaaaf caaa ebb d gaag ebb faac aaac bbe faaaac faaae bb faaaac daaa bb faaaac aaag bb caaaac aaaf ebb caaaaf faaae bbe caaaaf daaa bbe caaaaf aaad bb caaaaf eaaaf bb daaaaf caaa bb daaaagaag ebb daaaac bbe dae bbe bb bb ebb ebb bbe bb bb bb ebb bbb bbe bb bb bb ebb bbe bbe bb bb bb ebb bbe bb bb bb ebb ebb bbe bb bb bb ebb ebbbbbe eebbbbbbbbb ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbee ebbbbbbbbbe eebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbbe ebbbbbbbbbe ebbbbbbbbbe ebbbbbe be ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#b6868cff b,#a58ae8ff c,#a04b5aff d,#d4c1e3ff e,#b0d6b1ff f,#eeeff2ff g,#98c896ff ``` ```image fd bbb bbb fbbbf fbbbd fbbbd fbbbb fbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbbf bbbbbd bbbbbd bbbbbb bbbbbb bbbbbb bbbbbb fffffffffffffffff bbbbbb fgeeeeeeeeeeebbeee bbbbbb feeeeeeeeeebbbbeee bbbbbb feeeeeeeeebbbbbbee bbbbbbf feeeeeeebbbbbbaaee bbbbbbd feeeeeebbbbbbcceee bbbbbbd feeeebbbbbbaccceee bbbbbbb feeebbbbbbecccceee bbbbbbb febbbbbbeeecccaeee bbbbbbb fbbbbbbeeeeccceeee ffddbbb bbbbbbeeeeeaccceeee dbbb fbbbbbbeeeeeecccceeee fbbb bbbbbbeeeeeeeecccaeeee bbb fbbbbbbeeeeeeeeeccceeeee bbbd bbbbbbdfeeeeeeeeaccceeeee bbbb fbbbbbb feeeeeeeecccceeeee bbbb bbbbbbd feeeeeeeecccaeeeee bbbb fbbbbbb feeeeeeegccceeeeee bbbb bbbbbbd feeeeeeeaccceeeeee bbbb fbbbbbb fgggggggccccgggggg bbbb bbbbbbd cccd dbbbf fbbbbbb dccc bbbb bbbbbbd accc dbbbf fbbbbbb ccca bbbb bbbbbbd cccd dbbbd fbbbbbb dccc bbbb bbbbbbd cccc fbbbd fbbbbbb ccca bbbb bbbbbbd cccf fbbbd fbbbbbb dccc bbbb bbbbbbd cccc bbbd fbbbbbb ccca bbbd bbbbbbd cccf bbbd fbbbbbb accc bbbb bbbbbbd cccc bbbb fbbbbbb ccca bbbb bbbbbbd fcccf bbbb fbbbbbb accc bbbb bbbbbbd cccc bbbb fbbbbbb ccca bbbb bbbbbbd fccc bbbb fbbbbbb accc dbbb bbbbbbd cccc ffffffdbbbbbbbbb cccd fgeeeeebbbbbbbbeg fccc feeeeeebbbbbbbeeg accc feeeeeeebbbbeeeeg cccc feeeeeeebbbeeeeeg cccd df feeeeeeeeeeeeeeeg dccc cccccaageeeeeeeeeeeeeeg accc ccccccccccccaaeeeeeeeeg ccca cccccccccccccccccccageg cccd dacccccccccccccccccccccad dccc feeaaccccccccccccccccccccadf cccc feeeeeeeegacccccccccccccccccccccad ccca feeeeeeeeeeeeeeeaaccccccccccccccccccccadf cccd feeeeeeeeeeeeeeeg dacccccccccccccccccccccad dccc feeeeeeeeeeeeeeeg fdaccccccccccccccccccccadf cccc feeeeeeeeeeeeeeeg daccccccccccccccccccccaaccca feeeeeeeeeeeeeeeg faaccccccccccccccccccf feeeeeeeeeeeeeeeg dacccccccccccc fggggggggggggggge faacccca ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b06a76ff b,#a489e9ff c,#a04b5aff d,#c9baf1ff e,#d7b3b9ff f,#ecdde2ff g,#c28c96ff ``` ```image dbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbd dbbbbbbbbbbbbbd dbbbbbbbbbbbbd dbbbbbbbbbbd dbbbbbbbbbd fbbbbbbbd bbbbbbd dbbd eef ccccaageff cccccccccccageef cccccccccccccccccaggeff ccccccccccccccccccccccccageef cccccccccccccccccccccccccccccca ccccccccccccccccccccccccccccccc egacccccccccccccccccccccccccccc feggaccccccccccccccccccccc feegaccccccccccccccc ffeggacccccccc feegacc f ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Okay, let's proceed to the next area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ba8190ff b,#a489e8ff c,#a04b5bff d,#d3c6f4ff e,#d9b8beff f,#efe7f3ff g,#b69feaff ``` ```image dbf fgbbg dbbbbbd fgbbbbbbbf dbbbbbbbbbg fgbbbbbbbbbbbf dbbbbbbbbbbbba fgbbbbbbbbbbbaca dbbbbbbbbbbbbccce fgbbbbbbbbbbbaccccf dbbbbbbbbbbbbcccccc fgbbbbbbbbbbbgcccccca dbbbbbbbbbbbgfacccccce fgbbbbbbbbbbbd fcccccccf dbbbbbbbbbbbgf ecccccca fgbbbbbbbbbbbd acccccca dbbbbbbbbbbbgf acccccce gbbbbbbbbbbbd fccccccc bbbbbbbbbbgf ecccccca bbbbbbbbbd acccccce bbbbbbbgf ccccccce bbbbbbd fccccccc bbbbgf ecccccca bbbd acccccce bgf cccccccf d fccccccc ecccccca acccccce cccccccf fccccccc ecccccca acccccce cccccccf fccccccc ecccccca acccccce ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b57581ff b,#a489e9ff c,#a04b5aff d,#d9c9e8ff e,#cea4adff f,#eee7f4ff g,#b8a3edff ``` ```image fg bbb bbb bbbf fbbbd fbbbd fbbbg fbbbb dbbbb dbbbb dbbbb dbbbb gbbbb gbbbb gbbbbf gbbbbd gbbbbg bbbbbg bbbbbb bbbbbb bbbbbb bbbbbb fbg bbbbbb gbbbf bbbbbb fbbbbbb bbbbbbf gbbbbbae bbbbbbd fbbbbbbccf bbbbbbd gbbbbbeccc bbbbbbg fbbbbbb cccc bbbbbbb gbbbbbd ccce bbbbbbb fbbbbbb fccc ffdgbbb gbbbbbd eccc dbbb fbbbbbb cccc fbbb gbbbbbd ccce bbb fbbbbbb fccc bbbg gbbbbbd accc bbbb fbbbbbb cccc bbbg gbbbbbd ccce bbbb fbbbbbb dccc bbbb gbbbbbd accc gbbb fbbbbbb ccca bbbb gbbbbbd cccd gbbbf fbbbbbb dccc bbbb gbbbbbd accc dbbbf fbbbbbb ccca bbbb gbbbbbd cccd dbbbd fbbbbbb eccc bbbb gbbbbbd cccc fbbbd fbbbbbb ccca bbbb gbbbbbd cccf fbbbg fbbbbbb eccc bbbb gbbbbbd cccc bbbd fbbbbbb ccca bbbg gbbbbbd cccf bbbg fbbbbbb eccc bbbg gbbbbbd cccc bbbg fbbbbbb ccce bbbb gbbbbbd fcccf bbbb fbbbbbb eccc bbbb gbbbbbd cccc gbbb fbbbbbb ccce gbbb gbbbbbd fccc gbbb fbbbbbb accc gbbb gbbbbbd cccc gbbbbbbbbb ccce dbbbbbbbd fccc dbbbbbb accc dbbbbd cccc bbb ccce ef dccc cccccaef accc ccccccccccccad ccca ccccccccccccccccccaef cccd deacccccccccccccccccccced dccc feaccccccccccccccccccccaef accc deacccccccccccccccccccced ccca feaccccccccccccccccccccaef cccd deccccccccccccccccccccaed eccc feaccccccccccccccccccccaef cccc deccccccccccccccccccccaeccca feaccccccccccccccccccf dacccccccccccc deacccca ``` <!-- end of image -->
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It's clear from this image that there are no line intersections.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#5bcb60ff b,#156f5cff c,#21ba27ff d,#8dce9cff e,#b6e0bfff f,#569789ff g,#ddf0e1ff ``` ```image e ccc gccce acccc cccccd gcccccc g accaccca dcce ccc gccc ccccce ccc ccca dcccccce acca ccc dcccccce ccc accc dcccccce ccc cccg dcccccce acca accc dcccccce cccg cccd dccccccd ccc dccc dccccccd acca ccca eccccccd cccg gccc eccccccg ccc ccca eccccc dcca ccc ecccc cccg cccc gcccd ccc cccg dcccg dcca accc cccc cccg ccce cccc ccc dccc gcccd dccc cccd dcccg cccg eccc cccc ccc ccca cccc dccc gccc gcccd ccce cccc accc ccc cccg cccc dccc accc ccca cccce ccce eccce dccccc dccc accc gccccca cccd cccc accccc eccc ccca eccccce ccca eccce ccccca gc accc acccccg cccccccccd ccccccc eccccg aca bf fbb gbbb dbbbbg bbbb ebbbbbb bbbd gbbbbbbg dbbb bbbbbbe bbbb fbbbbbd bbbd gedffbbbbbbbbbf dbbb gedffbbbbbbbbbbbbbbbbbbbb bbbb gedffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbd gedffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdeg dbbb gedffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdeg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffdeg bbbbbbbbbbbbbbbbbbffdeg ebbbbbffdeg ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#d845f1ff b,#8654a4ff c,#c7b1d5ff d,#e687f6ff e,#cd08eeff f,#a783bdff g,#eacff1ff ``` ```image bfc bbbg bbb bbb cbbb fbbb bbbf bbbc bbb bbb gbbb fbbb bbbf bbbc bbbg bbb gbbb cbbb fbbb bbbf bbbg bbb bbb cbbb fbbb bbbf bbbc bbb bbb gbbb ggcffbbbbbbbb gccffbbbbbbbbbbbbbbbbbbbbf gccffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg ggcffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffcgg gccffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffccg ffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfccgg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbffcgg bbbbbbbbbbbbbbbffccg bbfccgg gggddddaaaeeee ggdddaaeeeeeeeeeeeeeeeeeeeeeeeeeee ggdddaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ggdddaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaadd deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaadddgg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaadddgg eeeeeeeeeeeaaadddgg eee eee geee geee deee aeee eeea eeed eeeg eee eee eee geee deee aeee eeea eeed eeed eeeg eee eee geee deee deee aeea eeea eeed eeeg eee ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#35cbbaff b,#e8a273ff c,#92e3daff d,#f3cfb8ff e,#de7530ff f,#caf1edff g,#5fd6c8ff ``` ```image c af gc cg fa a a a af gg fa a a a af gc cg fa ac a ggaaagf a a caaac a ca faaagf ac a caaac cg ca faaagf fa af caaac a fa faaaf a ac fa a a ca af ac ca gc a ga ca gg ga fa a aa a ca aa a a ag af fa ag ac af ac cg fa ac fa ac af a a faf aag fa aa ca ag ca ga ga aa aa ag ag ac ac af faf fa fa ca ga ga ga aa ag ag ac af faf fa ca ga a ddddbbbeeeeeeebbbddd eeeeebbbddddddbbbeeeeeeeeeeeeeeeebbbddd dddbbeeeeeeeeeeeeeeeebbbddd dddbbbeeeeeeeeeeeeeeebbbddd dddbbbeeeeeeee ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f71423ff b,#736fc4ff c,#f99ca1ff d,#e9d6e3ff e,#f45059ff f,#9ea0d0ff g,#aed5adff ``` ```image d fbbbbb dfbbbbbbbbbb dbbbbbbbbbbbbbbbbd fbbbbbbbbbbbbfd bbbbf bbbf dfbbbbbbbbbbbbf bbbbb fbbbbbbbd dfbbbbbbbbbbbfd fbbbb bbbbbbbbbbbf fbbbbbbbbbbbbfd dbbbbfgggggggggggggggg fbbbbb fbbbbbbbfbbbbbbbbbbbbf bbbbfggggggggggggggg dbbbbbd dbbbbbbbbbbbbbbd gbbbbbgggggggggggggg fbbbbb fbbbbbbfd ggbbbbbggggggggggggg dbbbbbd df gggfbbbbgggggggggggg bbbbbf gggggbbbbfgggggggggg fbbbbb ggggggbbbbbggggggggg bbbbbf gggggggbbbbbgggggggg bbbb ggggggggfbbbbggggggg bd ggggggggggbbbbfggggg gggggggggggbbbbbgggg ggggggggggggbbbbbggg gggggggggggggbbbbfgg ggggggggggggggfbbggg gggggggggeaegggggggg ggggggggaaaaaaaegggg ggggggcaaaaaaaaaaggg gggggeaaaageaaaaaggg ggggaaaaaggggggeaggg daaaae caaaac eaaaad aaaaa daaaae caaaac eaaaa aaaaa daaaae eaaaad aaaaa aaaae caaaac eaaaad aaaaa daaaae caaaac eaaaa aaaaa daaaae eaaaad aaaaa aaaaa caaaac eaaaad aaaaa daaaae caaaac eaaaad aaaaa daaaae caaaac aaaaa aaaaa daaaac eaaaad aaaaa aaaae caaaac eaaaad aaaaa daaaae caaaac eaaaa aaaaa daaaae eaaaad aaaaa aaaae caaaac eaaaad aaaaa daaaae caaaac aaaa caa c ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f81323ff b,#746fc4ff c,#fcacb2ff d,#aaa7dbff e,#fa6d76ff f,#f83441ff g,#e6dcebff ``` ```image bbbbbg bbbbbbg bbbbbbbd bbbbbbbbd dbbbbbbbbbg dbbbbbbbbbg gbbbbbbbbbd gbbbbbbbbbd dbbbbbbbbd dbbbbbbbbbg gbbbbbbbbbg gbbbbbbbbbd dbbbbbbbbd dbbbbbbbbbg gbbbbbbbbbg gbbbbbbbbbd dbbbbbbbbd dbbbbbbbbbg dbbbbbbbbbg gbbbbbbbbbd gbbbbbbbbbd dbbbbbbbbd dbbbbbbbbbg gbbbbbbbbbg gbbbbbbbbbd dbbbbbbbg dbbbbbd gbbbd gg gbb gfaafecg g caaaaaaaafecg eaaaaaaaaaaaaafec gfaaaaaaaaaaaaaaaaaafg cfaaaaaaaaaaaaaaaaaaaag caaaaaaaaaaaaaaaaaaaaaf eaaaaaaaafccefaaaaaaaaae gfaaaaaaaae gcefaaaaac caaaaaaaaae gcefa ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f81424ff b,#736ec4ff c,#fb9da4ff d,#c4c2e6ff e,#f95863ff f,#9a96d4ff g,#f5dde4ff ``` ```image g gfbbbbb dfbbbbbbbbbb dbbbbbbbbbbbbbbbbd dbbbbbbbbbbbbfg bbbbf bbbf gfbbbbbbbbbbbbd bbbbb dbbbbbbbd dfbbbbbbbbbbbfd fbbbb bbbbbbbbbbbf dbbbbbbbbbbbbfg dbbbbd fbbbbb fbbbbbbbfbbbbbbbbbbbbd bbbbf gbbbbbd dbbbbbbbbbbbbbbd bbbbb fbbbbb fbbbbbbfg fbbbb dbbbbbg gd dbbbbg bbbbbf gbbbbd dbbbbb bbbbb bbbbbf bbbbb bbbb fbbbbg bd gbbbbd bbbbf bbbbb fbbbd dbf eaeg aaaaaaaeg gaaaaaaaaaag eaaaageaaaaa aaaaa gea gaaaae caaaac eaaaag aaaaa gaaaae caaaac aaaaa aaaaa gaaaae eaaaag aaaaa aaaaa caaaac eaaaag aaaaa gaaaae caaaac eaaaag aaaaa gaaaae eaaaag aaaaa aaaaa caaaac eaaaag aaaaa gaaaae caaaac eaaaag aaaaa gaaaae caaaac aaaaa aaaaa gaaaae eaaaag aaaaa gaaaae caaaac eaaaag aaaaa gaaaae caaaac aaaaa aaaaa gaaaae eaaaag aaaaa aaaaa caaaac eaaaag aaaaa gaaaae caaaac gaaaag caa c ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#bce034ff b,#6d54cbff c,#d2e97eff d,#e9f0cdff e,#a193dbff f,#b0d7b0ff g,#98cb95ff ``` ```image b bbb ebbe ebb bbb ebbe ebb bbb dbbe ebb bbb dbbe ebbd bbb dbbe ebbd bbb dbbe ebbd gfffffbbbffffffffg gfffffffbbbbbeffff gffffffffebbbbbbbbbeeeeeeeeeebbbbbbbbbbbbbbbbbbbbbbbbbbb gfffffffffffffffebbbbbbbbbbbbbbbbbbbbbbbbbeeeeeeeeeeeeee aaad gfffffffffffffffff aaaaaaacd gfffffffffffffffff a caaaaaaagffffffffffffffff da caaaaaacffffffffffff ca gffcaaaaaacfffffff aa gffffffgaaaaaaacff ac gfffffffffffcaaacf ac gffffffffffffffaag ad ad gfffffffffffffffaa ac a gffffffffffffffffaa aa da gfffffffffffffffffaa da ca gfffffffffffffffffdac a aa gfffffffffffffffff cad ac ac gfffffffffffffffff aa aa ac gfffffffffffffffff aa ca ad gfffffffffffffffff aa da a fggggggggggggggggg dac ad da cad ac ca aa aa aa aa ca ac aa a ac dac ad ad cad aa a aa ca da aa da ca aa ad aa dac ac ac cad aa ac aa ca ad aa da a aa adda dac acca cad aaaa aa daac aa aac aa aad dac aa cad ca aa c aa aa dac cad aa aa aa dac cad aa aa aa dac cad aa aa aa dac d ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bce032ff b,#6c53cbff c,#ddef98ff d,#cac0ecff e,#9d8ddcff f,#eef7cbff g,#cde867ff ``` ```image debbbbe dbbbbbd ebbbbbdd debbbbbbbbeedd dbbbbbbbbbbbbbbeed deebbbbbbbbbbbbb ddeebbbbbb dde agcf aaaaaggcf aaaaaaaaaagccf ffcgaaaaaaaaaaagcff fccgaaaaaaaaaaagcf fcggaaaaaaaaaaagcf fcgaaaaaaaaaaaagc fcgaaaaaaaaag fcgaaaaac fcaaaf gaaa gaa faa fa c ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#bde033ff b,#6c53cbff c,#ddef98ff d,#cfc7eeff e,#9b8adcff f,#eff7cfff g,#d0e970ff ``` ```image b bbb dbbd ebb bbb dbbe ebb bbb dbbe ebbd bbb dbbe ebbd bbb dbbe ebbd bbb dbbe ebbd bbb dbbbbedd debbbbbbbbeeeeeeeeeeebbbbbbbbbbbbbbbbbbbbbbbbbbd debbbbbbbbbbbbbbbbbbbbbbbeeeeeeeeeeeeddd aagc agaaaaagf fa caaaaaagf ca caaaaaagf ga fgaaaaaac aa fgaaaaaac ag fgaac ac gaf af af aa ag a aa aa ca aa ca ga fac a aa gaf ac ag aa aa ac aa ga af aa fa a fac af ca gaf ag ga aa aa aa aa ca ag aa a ac fac ac af gaf ag a aa ga ca aa fa ga aa af aa fac ac ag gaf aa ac aa ca af aa fa a aa affa fac agga gaf aaaa aa caag aa aac aa aaf fac aa gaf ga aa g aa aa fac gaf aa aa aa fac gaf aa aa aa fac gaf aa aa aa fac f ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#fccc6aff b,#b3b2afff c,#fbe9c5ff d,#b3d7b2ff e,#efd791ff f,#f0f4eeff g,#a5d0a4ff ``` ```image bf bbb fbbbbd fbbbbf dbbbbf bbbbb bbbbb bbbbd fbbbbf cbbbbf bbbbb f bbbbb dbb bbbbb bbbf fbbbbd bbbd fbbbbf bbbb dbbbbf bbbb bbbbb fbbbb bbbbb fbbbbf bbbbd dbbbbd fbbbbf dbbf bbbbbb cbbbbf bbbbbd bbbbbb bbbbb bbbbbbbbf bbbbbb bbbbb dbbbbbbbbf bbbbbbf bbbbb fffbbbbbbbbdffffffffffffffffffffffffbbbdbbdfffffffbbbbd fgggggbbbbbbbbbggggggggggggggggggggggbbbgbbbggggggbbbbf fgdddddddbbbbbbbbbdddddddddddddddddddbbbdbbbddddbbbbbf fgddddddddddbbbbbbbbdddddddddddddddddbbbdbbbdddbbbbb fgddddddddddddbbbbbbbbbdddddddddddddbbbbdbbbddbbbbb eegdddddddddddddddbbbbbbbbdddddddddddbbbddbbbbbbbbbg aaaaaaaeedddddddddddbbbbbbbbbddddddddbbbdddbbbbbbddg aaaaaaaaaaaaaaeddddddddbbbbbbbbddddddbbbdddbbbbbdddg ceaaaaaaaaaaaaaaaaaaaedddbbbbbbbbddddbbbdddbbbbddddg fgddddeaaaaaaaaaaaaaaaaaaabbbbbbbbddbbbdddbbbdddddg fgddddddddddeeaaaaaaaaaaaaaaabbbbbbbbbbdddddddddddg fgdddddddddddddddddeaaaaaaaaaaabbbbbbbbeedddddddddg fc fgddddddddddddddddddddddddeaaaaaabbbbbbaaaaaaaedddg caac fgddddddddddddddddddddddddddddddeaabbbaaaaaaaaaaaaaaecf aaae fgdddddddddddddddddddddddddddddddddddddeaaaaaaaaaaaaaaaaaaaec aaaa fgdddddddddddddddddddddddddddddddddddddddddddeeaaaaaaaaaaaaaaaaa eaaaa fgddddddddddddddddddddddddddddddddddddddddddddddddgceaaaaaaaaaaac aaaaa fgddddddddddddddddddddddddddddddddddddddddddddddddg fceaaaae faaaaa fgddddddddddddddddddddddddddddddddddddddddddddddddg caaa aaaaaac fgddddddddddddddddddddddddddddddddddddddddddddddddg aaa aaaeaae fgggggggggggggggggggggggggggggggggggggggggggggggggg aaa caaacaaa ffffffffffffffffffffffffffffffffffffffffffffffffff aaa aaac aaa aaa faaa aaa aaaf aaae aaa aaac aaa aaaf eaaccaaa eaac caaeaaac caae caaaaaa faaa aaaaaa aaa aaaaaf aaa aaaaa aaa aaaae aaac aaaa eaae aaaa caaa caac faaa cc aaa aaa aaaf aaac eaae caaa aaa aaa aaa aaaf eaac caae faaa aaa aaa aaa aaac eaae caaa aaa aaa aaa aaaf ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fccc6aff b,#b3b1afff c,#f6f2eaff d,#c9c8c6ff e,#f8d692ff f,#dededdff g,#fde8beff ``` ```image fdbbbbbbbbbbbbbbbdf bbbbbbffbbbbbb c cfbbbbbbbbbbbbbbbbdc bbbbbbfcbbbbbbc fb cdbbbbbbbbbbbbbbbdf bbbbbbc bbbbbbf fbb fdbbbbbbbbbbbbbbbdc cbbbbbb dbbbbbf dbbb cdbbbbbbbbbbbbbbbbfc fbbbbbb dbbbbbd cdbbbb fdbbbbbbbbbbbbbbbdf fbbbbbd fbbbbbb cbbbbbb cfbbbbbbbbbbbbbbbbfc fbbbbbd cbbbbbbc fbbbbbbb fdbbbbbbbbbbbbbbbdf dbbbbbd bbbbbbf fbbbbbbbb cfbbbbbbbbbbbbbbbbdc dbbbbbf dbbbbbf dbbbbbbbbb ggcc cdbbbbbbbbbbbbbbbdf bbbbbbf dbbbbbddbbbbbbbbd aaaaaeeggc fdbbbbbbbbbbbbbbbf bbbbbbc fbbbbbbbbbbbbbbd aaaaaaaaaaaaeggcc cdbbbbbbbbbbbbbbbf cbbbbbbc cbbbbbbbbbbbbbf aaaaaaaaaaaaaaaaaaeeggc fdbbbbbbbbbbbbbbdc cbbbbbb bbbbbbbbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaaeeggc cfbbbbbbbbbbbbbbdc fbbbbbb dbbbbbbbbbbc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeggc cdbbbbbbbbbbbbbdf fbbbbbd dbbbbbbbbdc eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeggc cdbbbbbbbbbbbbbdf dbbbbbd fbbbbbbbd cggeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeggccfbbbbbbbbbbbbbbf dbbbbbd cbbbbbbf ccggeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeebbbbbbbbbbbbbbdc dbbbbbf dbbbbf cggeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaebbbbbbbbbbbbbbdcbbbbbbf fddc ccggeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbc cggeeaaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbc cggeeaaaaaaaaaaaaaaaaaaaaebbbbbbbbbbbbbbbeeggc cggeeaaaaaaaaaaaaaaaaebbbbbbbbbbbbbaaaaaaaeeggc cggeeaaaaaaaaaaaebbbbbbbbbbbaaaaaaaaaaaaaeeggcc ccggeaaaaaaaabbbbbbbbeaaaaaaaaaaaaaaaaaaaaeeg cggeeaaabbbbbbaaaaaaaaaaaaaaaaaaaaaaaa ccggebeaaaaaaaaaaaaaaaaaaaaaaaaa cggeeaaaaaaaaaaaaaaaaaaaa cggeeaaaaaaaaaaaaa cggeeaaaaaaa cggee ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#fccc6aff b,#b3b1afff c,#fef1d7ff d,#cccac9ff e,#fcd892ff f,#e7e7e6ff g,#fde5b4ff ``` ```image b bbb fbbbbd fbbbbf dbbbb bbbbb bbbbb bbbbd fbbbbf dbbbbf dbbbb f bbbbb dbb bbbbb bbbf fbbbbd bbbd fbbbbf bbbb dbbbb bbbb bbbbb bbbb bbbbb fbbbbf bbbbd dbbbbd fbbbbf dbbf dbbbbb dbbbbf bbbbbd bbbbbb dbbbb bbbbbbbbf bbbbbb bbbbb dbbbbbbbb bbbbbbf bbbbb fbbbbbbbbd bbbdbbd bbbbd dbbbbbbbbf bbbfbbb fbbbbf dbbbbbbbd fbbb bbb dbbbb fbbbbbbbbf fbbb bbb bbbbb dbbbbbbbd dbbd bbbf bbbbb egc fbbbbbbbbf bbbf dbbdbbbbd aaaaaaaeg dbbbbbbbd bbb fbbbbbbf aaaaaaaaaaaaaagc bbbbbbbd bbb bbbbbf geaaaaaaaaaaaaaaaaaaegc dbbbbbbb bbb bbbb cgaaaaaaaaaaaaaaaaaaaebbbbbbb bbb dbb geaaaaaaaaaaaaaaabbbbbbbbbb cgeaaaaaaaaaabbbbbbbbec cc ceaaaaaabbbbbbaaaaaaegc caac cgeabbbaaaaaaaaaaaaaaeg aaae ceaaaaaaaaaaaaaaaaaaagc aaaa cgeaaaaaaaaaaaaaaaaa eaaaa cgaaaaaaaaaaag aaaaa geaaaae caaaaa caaa aaaaaac aaa aaaeaae aaa gaaacaaa aaa aaac aaa aaa aaa aaa aaa eaae aaa aaac aaa aaac eaaggaaa eaag gaaeaaag gaae caaaaaa caaa aaaaaa aaa aaaaac aaa aaaaa aaa aaaag aaac aaaa eaag aaaa gaaa gaac aaa gc aaa aaa aaa aaag gaae caaa aaa aaa aaa aaac eaag gaae caaa aaa aaa aaa aaac eaae caaa aaa aaa aaa aaac ``` <!-- end of image -->
[ "" ]
This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c63d7fff b,#40307bff c,#e6ccddff d,#7e74a6ff e,#b80d5fff f,#d97faaff g,#ada6c6ff ``` ```image aec e fe e aa f ef cc cec a fe e aa e ef a cec cc fec f ae e ea e cef a cec cf fe f aa e ef e cec e fe f aa fc ef a cec e fe e aa f ef a cc cec cf a fe e e aa e e ef ff a cec e cc fe e f aa fc e ef a e cec e a fe ac cf aaa f e e a f fc a b b d cg g b b b b g gc d b b c b gbbbg d cdbbdc gc gbbbg d cdbbdc b gbbbg b cdbbdc b gbbbg d cdbbdc cg gbbbg d cdbbdc b gbbbg b cdbbdc b gbbbg d cdbbdc cg gbbbg g cdbbdc b gbb ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ee0178ff b,#d95c64ff c,#f391baff d,#f7c7d9ff e,#f03894ff f,#afd5aeff g,#da8389ff ``` ```image bg gbg gbbb gbbbd fffffffgbbbbbbff cbbbbb fffffgbbbbbbgfff dbbbbbbd fffgbbbbbbgfffff dbbbbbbbb ffbbbbbbgfffffff bbbb bbbc dbbbbbbbfffffffff bbbbd gbbb bbbbbbbfffffffffff bbbbd bbbg gbbbbbbfffffffaaafff bbbbc gbbb gbbbbbbfffffffffaaafff bbbbg bbbg cbbbbbbdffffffffffaaafff gbbbg cbbb cbbbbbbc ffffffffffaaafff gbbbb bbbb dbbbbbbg ffffffffffaaafff cbbbb dbbbd dbbbbbbg fffffffffgaaafff dbbbb bbbb bbbbbbb fffffffffgaaafff bbb dbbbd bbbbbbb fffffffffeaaefff g bbbb gbbbbbb fffffffffaaaefff bbbc gbbbbbbd fffffffffaaagfff bbbb cbbbbbbd fffffffffaaagfff bbbg cbbbbbbc fffffffffaaaffff gbbb dbbbbbbg fffffffffaaaffff bbbg dbbbbbbg aaa cbbb bbbbbbb daaa bbbb bbbbbbb caaa dbbb gbbbbbbd caaa bbbb gbbbbbbd eaae dbbbd cbbbbbbd aaae bbbb dbbbbbbc aaac bbbbbbbbbg aaad bbbbbbbg aaa bbbbb aaa cbb aaa aaa daaa caaa eaaa aaae eaad aaac aaaaa aaad caaaaaa aaad eaaaaaaa aaa aaaaacaaae aaa caaaaa eaaa aaa eaaaae aaa daaa aaaaac aaad caaa caaaaa aaae eaaa eaaaae caaa eaae aaaaac aaa aaac caaaaa aaac aaac eaaaae eaaa aaad aaaaad daaa aaa caaaaa aaad aaa eaaaae aaae aaa aaaaad caaa daaa caaaaa aaa caaa eaaaae aaac eaaa aaaaad eaaa eaae caaaaa daaa aaac eaaaae aaad aaac aaaaad aaae aaad caaaaa caaa aaa eaaaae aaa aaa aaaaad aaac aaa caaaaa eaaa daaa aaaaae daaa caaa aaaaad aaad caaa caaaaa aaae eaae aaaaae caaa aaae aaaaad aaa aaac caaaaa aaac aaad aaaaae eaaa aaa aaaaad daaad aaa aaaa aaaaad aaa dae aaaaaaac daaa d daaaaaaac caaa daaaaaaae caaa eaaaaaae eaae eaaaaaaa aaae caaaaaaaaac caaaaaaad daaaaa daaa ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#ee0178ff b,#d95c64ff c,#f579b7ff d,#f1adbfff e,#f13d97ff f,#f8d6e0ff g,#e2868cff ``` ```image fgbbbbbbg fgbbbbbbbbbf fgbbbbbbbbbbbg dbbbbbbbbbbbbbd dbbbbbbbbbbbbbd dbbbbbbbbbbbbbd dbbbbbbbbbbbbbgf fgbbbbbbbbbbbbgf fgbbbbbbbbbbbbgf fgbbbbbbbbbbbbgf gbbbbbbbbbbbbbd bbbbbbbbbbbbd bbbbbbbbbbd bbbbbbbbd daeeeccf bbbbbbgf daaaaaaf bbbbgf caaaaaaf bbgf caaaaaa gf eaaaaaa eaaaaae aaaaaae aaaaaac aaaaaac faaaaaac daaaaaad daaaaaaf caaaaaaf caaaaaa eaaaaaa eaaaaae eaaaaae aaaaaae aaaaaac faaaaaac faaaaaad daaaaaaf caaaaaaf caaaaaa ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ee0178ff b,#d95c64ff c,#f578b7ff d,#f4b0c8ff e,#f03392ff f,#fadde7ff g,#e2888dff ``` ```image bg gbg gbbb gbbbf gbbbbbg dbbbbb dbbbbbbd dbbbbbbd dbbbbbbg fbbbbbbbb fbbbbbbg bbbb bbbd fbbbbbbb bbbbf gbbb bbbbbbb bbbbd bbbg bbbbbbbf aaaf bbbbd gbbb gbbbbbbf aaa bbbbg bbbb gbbbbbbd aaa gbbbb dbbb dbbbbbbd aaa gbbbb bbbb dbbbbbbg faaa dbbbb dbbbf fbbbbbbg daaa dbbbb bbbb fbbbbbbb caaa bbb fbbbd bbbbbbb eaae gf bbbb gbbbbbbf aaac bbbd gbbbbbbf aaac bbbb gbbbbbbd aaad bbbg dbbbbbbd aaa gbbb dbbbbbbg aaa bbbg fbbbbbbg aaa gbbb fbbbbbbb faaa bbbb bbbbbbb daaa dbbbf gbbbbbbf caaa bbbb gbbbbbbf eaae fbbbf gbbbbbbd aaae bbbb dbbbbbbd aaac fbbbbbbbbbg aaad bbbbbbbg aaaf bbbbb aaa gbb aaa faaa daaa caaa eaaa eaae eaaf aaac aaaaa aaad daaaaaa aaaf eaaaaaaaf aaa aaaaadaaac aaa daaaaa caaa aaa eaaaae faaa daaa aaaaad aaad caaa daaaaa aaae caaa eaaaae daaa eaae aaaaad aaa aaac daaaaa aaac aaad eaaaae eaaa aaaf aaaaad faaa aaa daaaaa aaad aaa eaaaae aaae aaa aaaaad caaa faaa caaaaa aaa caaa eaaaae aaac caaa aaaaad eaaa eaae caaaaa faaa aaac eaaaae aaaf aaad faaaaad aaae aaaf caaaaa caaa aaa eaaaae aaa aaa faaaaad aaac aaa caaaaa eaaa faaa eaaaae daaa daaa faaaaad aaaf caaa caaaaa aaae eaae aaaaae caaa aaac faaaaad aaa aaac caaaaa aaad aaad aaaaae eaaa aaa faaaaad daaaf aaa aaaa aaaaad aaa fae aaaaaaac faaa f daaaaaaac daaa faaaaaaae caaa eaaaaaae eaae eaaaaaaafaaae caaaaaaaaac caaaaaaad daaaaaf faaa ``` <!-- end of image -->
[ "" ]
Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#43adedff b,#cbd824ff c,#83c9f3ff d,#eef2b9ff e,#dbe46aff f,#c9e7f9ff g,#0d96e9ff ``` ```image bbbe dbbbbbbbbd bbbebbbbbbbbb bbd ebbbbbbe dbb dbbbb bbb ebbbd bbd dbbbb dbb bbbb ebb dbbbe bbd bbbb bb ebbbd ebb bbbb bbe bbbbd bb dbbbe ebb bbbb bbe ebbbe bb bbbb dbb ebbbd bbe dbbbb bbd bbbb dbb dbbbe ebb bbbb ebbbd bbbb bbbbd dbbbe bbbb dddeee ebbbe ddeeebbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbe ebbbbbbbbbbbbbeeddd dddd gf gggg ggggf fgggg ggggf fgggg agggc fgggg agggc fgggg agggc fgggg agggc fgggg agggc fgggg agggc fgggg agggc fgggg agggc gggg agggc gggg aggga gggg cggga gggg cggga ggggf cggga ggggf cggga ggggf cggga gf ggggf ggg cggga fggf ggggf ggg cggga agg ggggf ggc cggga ggg ggggf cgg cggga gga ggggf ggg cggga fggf ggggf ggg cgggaagg gggggc cggg a ``` <!-- end of image -->
[ "" ]
It's clear from this image that there are no line intersections.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8c97daff b,#0f25b4ff c,#c67589ff d,#dad3e7ff e,#495ac6ff f,#b2445fff g,#dba7b4ff ``` ```image g fffffg ff gffffcd ff dcffffg cf gffffcd gf dcffffg gf gffffcd dfd gcfffcg fd dcffffg fg gffffcd fc dcffffg ff gfff ff cf gf gf dfd fd fg fc fc ff cf cf gf df fd fg fc fc ff cf cf da gf bbbbd df ab abbed fd bd ebbe fg ab ebbe fc bd debba ab dbbba bd abbba eb abbbd b abbbd eb ebbe b ebbe eb debba b dbbba ee abbba b abbbd be abbb b e be b be db ba db ba db ba db ba d db ba ba db ab be bd b ab ee bd b ab eb bd bd ab ab bd bd eb ab b ba eb db b ba eb db b beee bb be ``` <!-- end of image -->
[ "" ]
It's clear from this image that there are no line intersections.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3c5f9dff b,#d2909bff c,#adbbd5ff d,#6f89b7ff e,#0e3986ff f,#e1b6bdff g,#e7e0e6ff ``` ```image fg fbbbb gbbb gbbb gbbb fbbf gbbbg bbbg bbbg bbb bbbg gbbb bbbf fbbf bbbf bbbg fbbf gbbb fbbf gbbf fbbb fbbg gbbb bbbg gbbb gbbb gbbbg fbbf bbbg bbbg bbbg bbb bbbf gbbb fbbf fbbf bbf eeg bbbg f ceeec bbb ee eea gbbf ae dee fbbf ced ceeg bbbg ee eed gbbb ae aea fbbf ged dee fbg ee geec aeg eea ged aee ee ceeg aeg eec gea eea ee dea deg ee gea de ee ce deg ec ea ea ee ee deeec ae gaeeeec ce gaeeeec ec ceeeeag ed ceeeeag ee deeeed ae deeeed de gaeeeec geg aeeeec ed eag ea ee de ge ec ea ee de ce ec ed ee ae ce eg ed ee ae de geg ed ea ee de ge ec ea ee ae ceeeeeeeadccg ccdaeeeeeeec g ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#280ee3ff b,#9799deff c,#b1d7b2ff d,#5d53e0ff e,#2207f4ff f,#ecf0f2ff g,#9fcda1ff ``` ```image ff daaf baaad faaaaa aaaaaaf aaaadaad aaaaffaaa daaab aaa baaad aaab faaaa baaa aaaa aaa aaaa aaab aaaaf baaa daaab aaa baaad aaab faaaa baaa aaaa aaa aaaa aaaf aaaaf daad daaab faaa baaad aaaf faaaa daad aaaa faaa aaaa aaa aaaaf aaad daaab baaa baaad aaa faaaa aaab aaaa baaa aaaa aaa aaaaf aaab daaab baaa baaad aaa faaaa aaaf aaaa daaa aaaa ggggggaaaggggggg gggggggggggggggggggggggggggggggggaaaaf fgcccccaaagcccccc fgcccccccccccccccccccccccccccccccdaaab fgcccccdaadcccccc fgccccccccccccccccccccccccccccccbaaadf fgcccccgaaacccccc fgcccccccccccccccccccccccccccccgaaaagf fgccccccaaacccccc fgcccccccccccccccccccccccccccccaaaacgf fgccccccaaadccccc fgccccccccccccccccccccccccccccaaaaccgf fgccccccbaaaccccc fgcccccccccccccccccccccccccccaaaagccgf fgcccccccaaaccccc fgccccccccccccccccccccccccccdaaadcccgf fgcccccccaaadcccc fgcccccccccccccccccccccccccbaaadccccgf beeeb fgcccccccbaaacccc fgcccccccccccccccccccccccccaaaacccccgf beeeeeeef fgccccccccaaacccc fgccccccccccccccccccccccccaaaaccccccgfdeeeeeeeeeedf fgccccccccaaabccc fgcccccccccccccccccccccccaaaacccccccgeeeee beeeeeeeed fgccccccccdaaaccc fgccccccccccccccccccccccaaaagccccccceeeea deeeeeeeeb fgcccccccccaaaccc fgcccccccccccccccccccccdaaadccccccgeeeed fdeeeeeeeeb fgcccccccccaaabcc fgccccccccccccccccccccbaaadccccccbeeeeb beeeeeeeedf fgcccccccccdabccc fgccccccccccccccccccccaaaaccccccdeeeef beeeeeeeed fgccccccccccccccc fgcccccccccccccccccccaaaaccccccaeeeegf deeeeeeeebfgccccccccccccccc fgccccccccccccccccccaaaacccccceeeeecgf fdeeeeeeeebcccccccccccccc fgcccccccccccccccccaaaabccccceeeeaccgf feeeeeeeeagccccccccccc fgccccccccccccccccdaaadccccbeeeedcccgf beeeeeeeedccccccccc fgcccccccccccccccbaaadccccdeeeebccccgf fdeeeeeeeedcccccc fgcccccccccccccccaaaaccccdeeeeccccccgf fgccdeeeeeeeebccc fgccccccccccccccaaaaccccaeeeecccccccgf fgccccbaeeeeeebcc fgcccccccccccccaaaacccceeeeaccccccccgf fggggggggbeeeeggg fgccccccccccccaaaabccceeeedcccccccccgf fffffffffffbafff fgcccccccccccdaaadccbeeeebccccccccccgf fgccccccccccbaaaaccdeeeegcccccccccccgf fgccccccccccaaaaccaeeeecccccccccccccgf fgcccccccccaaaacceeeeeccccccccccccccgf fgccccccccaaaacceeeeacccccccccccccccgf fgcccccccaaaabgeeeedccccccccccccccccgf fgccccccdaaadbeeeebcccccccccccccccccgf fgcccccbaaaadeeeegccccccccccccccccccgf fgcccccaaaaaeeeeccccccccccccccccccccgf fgccccaaaaeeeeecccccccccccccccccccccgf fgcccaaaaeeeeaccccccccccccccccccccccgf fgccaaaaeeeedcccccccccccccccccccccccgf fgcdaaaeeeebccccccccccccccccccccccccgf fgbaaeeeeeccccccccccccccccccccccccccgf fgaaeeeeecccccccccccccccccccccccccccgf faaeeeeaccccccccccccccccccccccccccccgf aaeeeedcccccccccccccccccccccccccccccgf daeeeebccccccccccccccccccccccccccccccgf feeeeeggggggggggggggggggggggggggggggggg feeee bee d ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#270ce3ff b,#9588f4ff c,#bcb4f8ff d,#4731edff e,#2207f4ff f,#e0dcfbff g,#6e5cf1ff ``` ```image faaa fdaaa daaaa gaaaaa baaaaaa caaaaaaa faaaaaaad fdaaaaaaaf daaaaaaac gaaaaaaab baaaaaaag caaaaaaad faaaaaaadf fdaaaaaaaf daaaaaaac gaaaaaaab baaaaaaag caaaaaaad faaaaaaadf fdaaaaaaaf daaaaaaac gaaaaaaab baaaaaaag caaaaaaad faaaaaaadf fdaaaaaaaf g daaaaaaac ge gaaaaaaab fdee baaaaaaag caeee caaaaaaad ceeeee faaaaaaadf beeeeee fdaaaaaaaf geeeeeee gaaaaaaac fdeeeeeeee gaaaaaaab fdeeeeeeeeg baaaaaaag ceeeeeeeeeb caaaaaaad beeeeeeeeec faaaaaaadf beeeeeeeedf fdaaaaaaaf geeeeeeeedf gaaaaaaac fdeeeeeeeeg gaaaaaaab fdeeeeeeeeb baaaaaaag ceeeeeeeeec caaaaaaad beeeeeeeeec faaaaaaadf geeeeeeeedf fdaaaaaaaf geeeeeeeedf gaaaaaaac fdeeeeeeeeg gaaaaaaab caeeeeeeeeb baaaaaaag ceeeeeeeeec caaaaaaad beeeeeeeedf faaaaaaadf geeeeeeeedf daaaaaaaf fdeeeeeeeeg gaaaaaaac fdeeeeeeeeg gaaaaaaab ceeeeeeeeeb baaaaaaag beeeeeeeeec caaaaaaad beeeeeeeedf faaaaaaadf geeeeeeeedf daaaaaaac fdeeeeeeeeg gaaaaaaac fdeeeeeeeeb baaaaaaab ceeeeeeeeec baaaaaaag beeeeeeeeec caaaaaaad geeeeeeeedf faaaaaaadf geeeeeeeedf daaaaaaac fdeeeeeeeeg gaaaaaaac caeeeeeeeeb baaaaaaab ceeeeeeeeec baaaaaaag beeeeeeeeaf caaaaaaadfgeeeeeeeedf faaaaaaadfdeeeeeeeeg daaaaaaacdeeeeeeeeg gaaaaaaabeeeeeeeeeb baaaaaaageeeeeeeeec caaaaaaadeeeeeeeedf caaaaaaaaeeeeeeeedf faaaaaaaeeeeeeeeeg daaaaaaeeeeeeeeeb gaaaaaaeeeeeeeeec baaaaaaeeeeeeeeec caaaaaeeeeeeeeedf caaaaaeeeeeeeeedf faaaaaeeeeeeeeeg daaaaeeeeeeeeeb gaaaaeeeeeeeeec baaaaeeeeeeeeac caaaeeeeeeeeedf aaaeeeeeeeeeg aaeeeeeeeeeg aeeeeeeeeeb eeeeeeeeec ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Let's continue our search in the next region. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#270ce3ff b,#8374f2ff c,#aca2f7ff d,#3d25ecff e,#2207f5ff f,#d5d0faff g,#5f4bf0ff ``` ```image aaaaaab gaaaaag caaaaaaf faaaaaac gaaaaag caaaaaa faaaaaac daaaaag baaaaaa faaaaaac daaaaab baaaaad faaaaaaf daaaaab baaaaad caaaaaaf aaaaaab gaaaaad caaaaaaf aaaaaac gaaaaag caaaaaa faaaaaac daaaaag baaaaaa faaaaaac daaaaab baaaaad faaaaaaf daaaadc badbf ff gc eeegc eeeeedbf eeeeeeeedbf eeeeeeeeeeegc eeeeeeeeeeeeeegc deeeeeeeeeeeeeeeebf fbdeeeeeeeeeeeeeeedbf cgeeeeeeeeeeeeeeeedcf cgeeeeeeeeeeeeeeeegc fbdeeeeeeeeeeeeeeeec fbdeeeeeeeeeeeeec cgeeeeeeeeeed cgeeeeeeeb ``` <!-- end of image --> Unfortunately, there's no intersection inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#270ce3ff b,#9386f4ff c,#bbb3f8ff d,#462fecff e,#2207f4ff f,#e0ddfbff g,#6c59f0ff ``` ```image ff gaaf caaad faaaaa aaaaaaf aaaadaag daaaffaaa gaaac aaa caaag aaab faaaa caaa aaaa aaa aaaa aaab daaaf baaa gaaab aaa caaag aaac faaaa baaa aaaa aaa aaaa aaaf daaaf gaad gaaab faaa caaag aaaf faaaa daag aaaa faaa aaaa aaa daaaf daag gaaab caaa caaag aaa faaaa aaab aaaa baaa aaaa aaa daaaf aaac gaaab baaa caaag aaa faaaa aaac aaaa gaad aaaa aaa daaaf aaaf gaaab daag caaad faaa faaaa aaa aaaa daag aaaa caaa daaaf aaa gaaab aaab caaad ceeeb caaa faaaa beeeeeeec aaa aaaa deeeeeeeeeedf aaac aaaa eeeee beeeeeeeeg baaa daaaf eeeed geeeeeeeeb aaa gaaab feeeeg fdeeeeeeeec aaac caaad ceeeec ceeeeeeeedf gdc faaaa geeeef beeeeeeeeg aaaa deeee geeeeeeeeb aaaa eeeee fdeeeeeeeec daaaf eeeed ceeeeeeeedf gaaab feeeeb beeeeeeeeg caaad beeeec geeeeeeeeb faaaa geeeef geeeeeeeec aaaa eeeee fdeeeeeec aaaa eeeed ceeee daaaf feeeeg bd baaab ceeeeb caaad beeeef aaaa deeee aaaa eeeee aaaa eeeed daaacfeeeeg baaabceeeec caaadgeeeef aaaadeeee aaaaeeeee aaaaeeeed daaaeeeeb baaaeeeec caaeeeeef aaeeeee aaeeeed aaeeeeg daeeeeb ceeeeef feeee bee g ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#464c2bff b,#60a2baff c,#0f739cff d,#b1d5b2ff e,#9ab795ff f,#767c63ff g,#d3dedfff ``` ```image cg cccb bcccd gcccb bcccd gcccc bcccb gccccg bcccb ccccg dcccb bcccg gcccb bcccd gcccc bcccb gccccg bcccb ccccg g dcccb cg bcccg gc gcccb bc bcccd cb gcccc cg bcccb gc gccccg bc bcccb cc ccccg cd dcccb c eeeccccbbceeeeee dddddeccccdddddd ddddddddbedddddd dddddddddddddddd dddddddddddddddd g dddddddddddddddd aa dddddddddddddddd daag ef dddddddddddaeddd aaf aae dddddddddddadddd faa fafa ddddddddddeadddd gaad ae aa ddddddddddfadddd aaf aa af ddddddddddfadddd daa gad dad ddddddddddaadddd aae aa fa ddddddddddafdddd faa dag aa ddddddddddafdddd gaag aa af ddddddddddaedddd aaf ea dad dddddddddeaddddd eaa af aa eeeeeeeeefaeeeee aae fa aa fa faa af af aa gaag fa ead af aaf ae aa ae eaa aa aa ag aad gag af a faa aa eag da daag dag aa fa aaf aa aa aa faaa gaf aa gaf eag af aa ad aa a gaf ga eag ea aa fa aa aa gaf af fag ae aa ag aa ga gae ea fag fa aa aa aa af gae ae fag ag aa a aa da gaeea faaa aaa af ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#464b2bff b,#4c96b5ff c,#0e739cff d,#cbd7d8ff e,#aeb1a3ff f,#777b63ff g,#7fb4caff ``` ```image dbccccccbd gccg dgccccccccccd dbccccccc gccccb dbbd dd faae faad aaa aaa daaf eaaf eaae faae faad aaa aaa daaf eaaf eaae faae faad aaad aaa daaa daaf ``` <!-- end of image --> I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#454b2bff b,#5da0bcff c,#0e739cff d,#b3c5c6ff e,#999c8aff f,#6e7359ff g,#dbe3e3ff ``` ```image cg cccb bcccd dcccb bcccd gccccg bcccb gccccg dcccb ccccg dcccb bcccd dcccb bcccd gccccg bcccb gccccg dcccb ccccg g dcccb cg bcccd dc dcccb bc bcccd cb gccccg cd bcccb gc gccccg bc dcccb cc ccccg cd dcccb gc bcccdbc dcccc bg g af daag ef ad aae aad a eaa fafa ga gaad ae aa ea aaf aa af fa daag gad dad aa aae aa fa af faa dag aa ad gaag aa af ag aaf ea dad ga eaa af fa da aae fa aa fa faa ae af aa daag fa ead af aaf ae aa ae eaa aa aa ag gaad gad gaf a faf aa ead da daag dag aa ea aae aa aa fa eaaa gaf aa gaf eag ae aa ad aa a gaf ga eag ea aa fa aa aa gae af eag ae aa ag aa ga gae da fag fa aa aa aa af gae ae fag ad aa a aa da daeea faaa aaa ae ``` <!-- end of image -->
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No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c102d3ff b,#90cb81ff c,#dd78e7ff d,#bcdfb2ff e,#ce3cdcff f,#f0c3f4ff g,#e0f0dbff ``` ```image bg bbbg bbbbd gbbbbd gbbbbd gbbbbg dbbbbg dbbbbg dd dbbbb bbbbbbd bbbbb bbbbbbbbbbbg bbbbb bbbbbbbbbbbbbbbdg bbbbb dbbbbbbbbbbbbbbbdg bbbbb dbbbbbbbbbbbbbbbdg bbbbb gdbbbbbbbbbbbbbbbdg bbbbb gdbbbbbbbbbbbbbbbdg bbbbb gdbbbbbbbbbbbbbbbd bbbbd gdbbbbbbbbbbbbbbbd gbbbbd gdbbbbbbbbbbbbbbbd gbbbbd gbbbbbbbbbbbbbbbbg gbbbbg gbbbbbbbbbbbbbbbbbbbg dbbbbbbbbbbbbbg dbbbbbbb gdd cc f caaa aaa caaaaae aaaf faaaaaae aaae faaaaaae caaa faaaaaaa aaa faaaaaaa aaaf faaaaaaa aaae aaaaaaaf caaa aaaaaaaf aaa aaaaaaaf aaaf eaaaaaaf aaae eaaaaaac caaa eaaaaaac aaa caaaaaac aaaf caaaaaac aaae caaaaaae caaa caaaaaae aaa faaaaaae aaaf faaaaaaa aaae faaaaaaa caaa faaaaaaa faaa aaaaaaaf aaaf aaaaaaaf aaaac aaaaaaaf caaaaaaf eaaaaaaf aaaaaaaaaf eaaaaaac feaaaaaaaae eaaaaaac faaaaaaaaac eaaaaaac caaaaaaaaaccaaaaaac caaaaaaaaaaaae eaaaaaaae feaae ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#600981ff b,#f799d3ff c,#9f6cb3ff d,#f0c1e2ff e,#7a3296ff f,#be9bcbff g,#f6e2f1ff ``` ```image fa aaa aaaf caae daaa aaa aaaf caaa gaaa aaa f aaaf aaa caaa faaaf gaaa aaaaa aaa eaaaaa aaac gaaaaaad caaa aaaaeaae gaaa faaagdaaa aaag aaae aaag aaac eaaa aaae caaa aaac faaa aaaaaaa aaag aaaaaad aaac aaaaaa faaa faaaa aaa aaac aaac aaa caaa f aaa aaaf caaa aaa aaaf eaaa gaaa aaad eaae daaa aaaa b eaaaad bbbg eaaaac gbbbbd faaaaa gbbbbb aaaaag bbbbb eaaaac bbbbb faaaaa dbbbbg aaaaag gbbbbd eaaaac bbbbb faaaaa bbbbb gaaaaag bbbbb eaaaaf dbbbbg faaaae gbbbbd gaaaaaddgg bbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaeeeccccfffddgg bbbbb caaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbg gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa dbbbbg ggddfffcccceeeaaaaaaaaaa gbbbbd bbbbb bbbbb bbbbbg dbbbbd gbbbbb bbbbb bbbbb dbbbbg dbbbbd gbbbbb bbbbb bbbbb dbbbbg gbbbbd bbbbb bbbbb bbbbb dbbbbg gbbbbd bbbbbbdg bbbbbbbbbbbbdg bbbbbbbbbbbbbbbbbbdgg gdbbbbbbbbbbbbbbbbbbbbbddg gdbbbbbbbbbbbbbbbbbbbbbbdg gddbbbbbbbbbbbbbbbbbbbg ggdbbbbbbbbbbbb gdbbbbb ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! 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,#978197ff b,#6f6a80ff c,#ccc6cfff d,#e7e4e8ff e,#ada3b0ff f,#b1d7b1ff g,#96c896ff ``` ```image ddddccceeee ddddccceeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddddccceeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccddd fgggaagggggggggggg aaaaaaaaaaaaaaaaaaaeeeeccccddd gfffaaffffffffffff dd gffffaafffffffffff gfffffaaffffffffff gfffffeaefffffffff gffffffaafffffffff gfffffffaaffffffff gffffffffaafffffff gffffffffeafffffff gfffffffffaaffffff gffffffffffaafffff gffffffffffeaeffff gfffffffffffaaffff gffffffffffffaffff gfffffffffffffffff gffffffffffffaffff gffffffffffffbgfff gfffffffffffabffff gfffffffffffbbffff gfffffffffffbgffff fggggggggggbbggggg bc bb bb dbd bb ab cbc ba bb dbd bb ab dbe ba ab dbd bb ab dbe ba ab dbd bb ab dba ba abd dbd bb ab ba ba ebd dbd bb ab ba ba ebd db bb bb bb ba cbc db bb bb bb be cbc cb bb bb bb be cbc cb ab bb bb be dbe cb ab bb bb be dbe bb ab dbbd bb ebb dba aba ebd bbc bb dbbd ba ebb ebd bba bb bbc ba dbbd ebd ebb bb bba bb bbc cbc dbb bb ebb bb bba cbc bbc bb cbb bb ebb cbe bba ab bbc bbbb dbb ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#9a7e97ff b,#6f6a80ff c,#cabdc9ff d,#dcd5ddff e,#a490a4ff f,#f0ecefff g,#b7a8b8ff ``` ```image daaac caaad eaaef faaag daaac gaaaf eaae faaag caaad gaaaf feaae daaac caaad eaaef faaag daaac gaaaf eaae faaag caaad gaaaf feaae daaac caaad eaaef faaag dag d dgf ebbg fbbbd cbbb ebbg fbbbd cbbb ebbg fbbbd ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area A. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#998098ff b,#6e697fff c,#c4bac6ff d,#dad5dcff e,#a99dadff f,#eeecefff g,#7d798cff ``` ```image ffdddccceee ffdddccceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ffdddccceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeecccdddff dac aaaaaaaaaaaaaaaaaaaeeecccdddff eaf fff aa ae cad aa aa fae caf aa aa dac eaf a c bd eb bg fbd ab fbc bg gb fbd bb ab dbc bg gb fbf bb ab dbe bg gb fbf bb ab fbe ba abf fbf bb gb fbe ba ebf fbf bb gb fba ba ebf dbf bb gb bg ba ebd dbf bb gb bg be cbd dbf bb gb bg be cbc db gb gb bb be dbc db gb bb bb be dbe db gb bb bb be fbe bb abf fbbf bb ebb fba gba ebf bbc bb dbbf fba ebb ebf gba bb bbc bg dbbf cbd ebb bb gba bg bbc cbd dbbf bb ebb bg gba cbc bbd gb dbbf bb ebb dbc gbe gb bbd bbbb dbg ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#9f964fff b,#c7bd72ff c,#867011ff d,#dcd6acff e,#f0f1e3ff f,#b0d7b0ff g,#97c996ff ``` ```image eb bcccc daccccccc bcccccccccae dacccccccccd ebcccccccccae dccccccccccd eacccccccccbe dcccccccccad eacccccccccb eeeeeeeeeeeeeee bcccccccccad egffffffffffffffg eacccccccccb efffffffffffffffg bcccccccccae efffffffffffffffg dacccccccccd efffffffffffffffg bcccccccccae efffffffffffffffg dccccccccccd efffffffffffffffg eacccccccccbe effffffffffffffbccccccccccd effffffffffgacccccccccb efffffffacccccccccad effffacccccccccag effacccccccagfffg eaccccccafffffffg ecccccaffffffffffg ccccccffffffffffffg acccccffffffffffffffg cccccdfffffffffffffffg accb efffffffffffffffg a efffffffffffffffg effffffffbbfffffg effffffffbbbffffg gggggggbbbbggggf bbbb ebbbb bbbbb bbbbb dbbbbb bbbbbb bbbbbb bbbebbb bbb bbb ebbd bbb bbb bbb edd bbb dbb bbb dbbd dbb bbb bbb dbbe dbbe bbb dbbe ebbd bbbe ebbe bbb bbb ebbe bbb ebbd ebbd bbb bbb ebbd bbb bbb bbd dbb dbbd bbd dbbebbb bbb ebbdbbb bbb bbbbbe bbb bbbbb bbb bbbbd bbb bbbb bbb dbbb bbb ebbd bbb bb bbb bbb bbb bbb bbb dbb dbb dbb dbb dbbe dbbe eddbbbbb dbbe eddbbbbbbbbbbbbb ebbe edbbbbbbbbbbbbbbbbbbbbd ebbe edbbbbbbbbbbbbbbbbbbbbdde ebbd eddbbbbbbbbbbbbbbbbbbbbde ebbd eedbbbbbbbbbbbbbbbbbbbbdee ebbd edbbbbbbbbbbbbbbbbbbbbdde ebbd eddbbbbbbbbbbbbbbbbbbbbde bbbbbbbbbbbbbbbbbbbde bbbbbbbbbbbdde bbbdde ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#968330ff b,#c1b671ff c,#867011ff d,#dbd5b6ff e,#eeebdeff f,#cbc190ff g,#a79752ff ``` ```image efg dbaccc efgccccccc dbacccccccccc efgcccccccccccccc dbaccccccccccccccccc dgccccccccccccccccccgfd egccccccccccccccccabde ebcccccccccccccccgfe fcccccccccccccabd dacccccccccccgfe gccccccccccbd cccccccccge cccccccad cccccad ccccf ccbe ge ee fbbf dbbbbd bbbbbf dbbbbbf ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#988535ff b,#c6bc71ff c,#867011ff d,#dfdab5ff e,#efecdaff f,#d0c891ff g,#ac9d5dff ``` ```image eb fcccc daccccccc bcccccccccge dacccccccccf gcccccccccge daccccccccad egcccccccccg fcccccccccad egcccccccccb fcccccccccad eacccccccccf bcccccccccge dacccccccccf bcccccccccge dacccccccccf egcccccccccg fcccccccccad egcccccccccb fcccccccccad gcccccccccb bcccccccge dccccccf ecccccg ccccca accccce cccccd gccf g fb bbf fbbb bbbb ebbbb bbbbb bbbbb dbbbbb bbbbbb bbbbbb fbbebbb bbb bbb ebbf bbb bbb fbb edf bbb fbb bbb dbbd fbb fbb bbb dbb dbbe bbb dbbe ebbd fbbe ebbe bbf bbb ebbe bbb ebbf ebbd bbb bbb ebbd bbb bbb bbd fbb dbbd bbf dbbebbb bbf bbfbbb bbb bbbbbe bbb bbbbb bbb bbbbf bbb bbbb bbb dbbb bbb ebbd bbb ff bbb bbb bbb bbb fbb fbb fbb dbb dbb dbbe dbbe edfbbbbb dbbe edfbbbbbbbbbbbbb ebbe edfbbbbbbbbbbbbbbbbbbbd ebbe edfbbbbbbbbbbbbbbbbbbbfde ebbd edfbbbbbbbbbbbbbbbbbbbfde ebbd edbbbbbbbbbbbbbbbbbbbfde ebbd edfbbbbbbbbbbbbbbbbbbbfde bbd edfbbbbbbbbbbbbbbbbbbbfde bbbbbbbbbbbbbbbbbbfde bbbbbbbbbbbfde fbbfde ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#11f77dff b,#75f6b0ff c,#e8e5edff d,#3ff694ff e,#b1fcd4ff f,#b2d8b2ff g,#a1d0a2ff ``` ```image cggggggggggggggggg cgffffffffffffffff cgffffffffffffffff cceeeeebbbbddaaaaaaaaaaaaafff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafff baaaaaaaaaaaaaaaaaadddddddbbbbgggfcccfff aae cgffffffffffccffff aaa cgffffffffffccffff eaa cgffffffffffccffff aad cgfffffffffcccffff baa cgfffffffffccfffff aae cgfffffffffccfffff daa cgfffffffffccfffff caa cgffffffffcccfffff aad cgffffffffccffffff baa cgffffffffccffffff aab cgfffffffcccffffff daa cgfffffffccfffffff aac cgfffffffccfffffff aad ggggggggccggggggg eaa ccc ac aab cccc daad daa cccccccccccccccccccccc daaae aae cccccccccccccccccccccccccccc caaaa aaa ccccccccccccc baaab eaa cc aaaac aab cc eaaad baa cc daaae aae ccc caaaa aaa cc baaab eaa cc aaaac aad cc eaaad baa ccc daaae aae ccc caaaa daa cc baaab caa cc aaaacaad cc eaaaaa ccc daab ccc cb cc cc cc cc cc cc ccc cc cc cc cc cc cc ccc ccc ccc ccc cc cc cc cc cc cc cc ccc cc cc ccc cc ccc cc cc cc cc ccc cc cc cc cc cc cc ccc ccc ccc ccc cc cc cc cc cc ccc cc ccccc cc cccc ccc ccccc ccc ccccc cc ccccc cc ccccc cc ccccc cc cccc cc cccc ccc ccccc ccc ccccc cc ccccc cc ccccc cc cccc cc cccc cc ccccc cccccc cccc c ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#10f77dff b,#76fab4ff c,#e8e2edff d,#31f78eff e,#9bfbc8ff f,#c6fcdfff g,#f1f3f5ff ``` ```image ggggffffffeeeeeebe ddddddaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaddg bbbbbbeeeeeeffffffgggg gcccc ccccc ccccg gcccc gcccc ccccg ccccg gcccc ccccc ccccg gccccg gcccc ccccc ccccg gcccc gcccc ccccg ccccg gcccc ccccc ccccg gccccg gcccc ccccc ccccg gcccc gcccc ccccg ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#10f87dff b,#74fab3ff c,#e8e2edff d,#3bf894ff e,#aafcd0ff f,#d9fdeaff g,#f4f3f7ff ``` ```image gfffeeeebbbbdddaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa baaaaaaaaaaaaaaaaaadddbbbbeeeefffggcc aae ccg aaa cc faag gcc aad ccc baa ccg aae cc daa gcc faag ccg aad cc baa cc aab gcc daa ccg gaaf cc aad gcc eaa ccc af aab ggggccg daad daa gggggcccccccccccccccccccc daaae gaaf gccccccccccccccccccccccccccccg faaaa aaa ccccccccccggggg baaab eaa cc aaaaf aab cc eaaad baa gcc daaae aae ccc faaaa aaa ccg baaab faag cc aaaaf aad cc eaaad baa gcc daaae aae ccg faaaa daa ccg baaab faag cc aaaafaad gcc eaaaaa gcc daab ccg fb cc gcc cc gcc gcc cc ccc cc ccg cc cc ccg cc ccg gcc gcc ccg gcc cc cc cc cc gcc cc ccc ccg ccg ccg cc gcc cc gcc gcc cc ccc cc ccg cc cc ccg cc ccg gcc gcc ccg gcc cc cc cc cc ccc cc gcccc ccg gccccg ccg ccccg ccc ccccg gcc ccccc cc ccccc cc gcccc cc gccccg ccg gccccg ccg ccccg ccc ccccc gcc ccccc cc gcccc cc gccccg cc gccccg ccgccccg cccccc cccc g ``` <!-- 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,#a2d66eff b,#88d202ff c,#c5f890ff d,#b2d8b1ff e,#eff7efff f,#95d438ff g,#a3d0a1ff ``` ```image bc ebbfggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggge cbbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge eccbbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge cccbbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge ecccbbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egcccbbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdcccbbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddcccbbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddcccabbadddddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddcccabbaddddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddccdabbadddddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddccdabbgddddddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddccdabbgdddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddccdabbgddddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddcccdabbgdddddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddcccdabbgddddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddcccdabbgdddddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddcccdfbbgddddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddcccdfbbgdddddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddcccdfbbgddddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddddcccdfbbgdddddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddcccdfbbgddddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddddddcccdfbbgdddddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddcccdfbbgddddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddddddddcccdfbbgdddddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddcccdfbbgddddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddccddfbbgdddddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddccddfbbgddddddddddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddddccddfbbgdddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddccddfbbgddddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddcccddfbbgdddddddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddddddcccddfbbgddddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddcccddfbbgdddddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddcccddfbbgddddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddcccddfbbgdddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddcccddfbbdddddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddcccddfbbddddddddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddddcccddfbbdddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddddccccdfbbddddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddddddcccdfbbdddddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddddddddcccdfbbddddddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddddddddcccdfbbdddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddddddddddcccdfbbddddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddddddddddddcccfbbdddddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddddddddddddcccfbbddddddddddddddddge egddddddddddddddddddddddddddddddddddddddddddddddddddddcccfbbdddddddddddddddge egdddddddddddddddddddddddddddddddddddddddddddddddddddddcccfbbddddddddddddddge be egddddddddddddddddddddddddddddddddddddddddddddddddddddddcccabbdddddddddddddgecbbb egddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccbbddddddddddddgbbbf egdddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccbbddddddddddfbbbe egddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccbbdddddddgbbba egdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccfbdddddfbbbge egddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccfbddgbbbadge egddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcccbfbbbdddge eggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcccbbaggggge eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeee ccce ccce eccc eccc ccc ccce cccc eccc eccc ccc c ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b0e259ff b,#88d203ff c,#c6f98fff d,#d1f6a4ff e,#effbe0ff f,#9eda33ff g,#dff9c0ff ``` ```image bbc bbbb gbbbc cfbbbc ccfbbbc ccccbbbc gcccbbbbc dcccdbbbb dcccdbbbc dcccbbbbc dcccdbbbb dcccdbbbd eccccbbbbd ccccdbbbb eccccdbbbd eccccbbbbd ecccdbbbbd gcccddbbbd gcccdbbbbd gcccdbbbbd dcccddbbbd dcccgbbbbd dcccdbbbbd ccccgdbbbd eccccebbbbd eccccdbbbbd ccccedbbbg eccccebbbbg gccc dbbbb cccd dbbbg gcccd bbbbg dccc cbbbb cccg cbbbg dcccg bbbbg dccc cbbbb ecccg cbbbg cccce bbbbg ecccc cbbbb eccce cbbbg cccce bbbbg gcccd cbbbb gccc cbbbg cccd bbbbg dcccd cbbbb dccc cbbbg cccg bbbbg dcccg abbbb ecccc abbbe eccce bbbbe ecccce abbbb ecccc abbbe eccce bbbbe gcccd abbbb gcccd abbbe gccc bbbfe dcccd abbbe dcccg abbfe dccc bbbfe ccccg abbbe ecccce bbbfe ecccc abbbfe eccce abbbf ecccc bbbfe gccce abbbfe gccd abbbf gcccd bbbfe gccc abbbfe cccd abbbf dcccg bbbfe dccc abbbfe cccg abbbf ecccce bbbfe ecccc fbbbfe ecccg fbbbf eccccd bbbfe ecccce fbbbfe cccce fbbbf gcccc bbbf ecccde fbbbf dcccce fbbbf gcccg bbbf ccccd fbbbf eccccd fbbbf ccccgebbbf gccccgfbbbf gccccefbbbf dccccebbbf dccccfbbbf gcccdfbbba ecccccbbba edcccabbba ccccabbba gccccbbba eccccfbba g dccccfbba b gcccabba abbb ccccabba dbbbb ecccccbba eabbbba ccccaba efbbbbc gccccaba cbbbbbe eccccbbabbbbbc dccccfbbb ``` <!-- 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
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b8e569ff b,#88d202ff c,#c6f98fff d,#d4f5a9ff e,#f4fceaff f,#a5dd41ff g,#e6f9cdff ``` ```image bc gbbc dbbc gccbbc cccbbc cccbbc cccbbc ccdbbc eccdbbc eccdbbd eccdbbd gccdbbd gccdbbd dccdbbd dccdbbd dccdbbd cccdbbd cccdbbd cccdbbd cccdbbd ccdcbbd ccdcbbd ccdcbbg ccgcbbg eccgcbbg eccgcbbg gccecbbg gccecbbg gcc cbbg dcc abbg dcc abbg dcc abbg ccc abbg ccc abbg ccc abbg ccc abbg ccd abbg ccd abbg ccd abbe eccg abbe eccg abbe ecce abbe gcce abbe gcce fbbe dcc fbbe dcc fbbe dcc fbbe ccc fbbe ccc fbbe ccc fbbe ccce fbbe dccg fbbe gccd fbbe eccc fbbe ccc fbbe cccefbbe dccgfbbe gccdfbb ecccfbb cccfbb cccfbb be dccabb cbbb gccabb bbbf ecccbb abbbe cccbb ebbba cccbb fbbbe dccfb gbbbc gccabfbbb ecccbbd ccc ccce dccg gccd eccc ccc ccce dccg gccd eccc ccc c ``` <!-- end of image -->
[ "" ]
No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#55b166ff b,#1800d6ff c,#8ac995ff d,#bfb9f3ff e,#8579e9ff f,#4b38dfff g,#c4e4caff ``` ```image de defbbbbbbb defbbbbbbbbbbbbbbb defbbbbbbbbbbbbbbbbbbbbbfe defbbbbbbbbbbbbbbbbbbbbbfed defbbbbbbbbbbbbbbbbbbbbbfed defbbbbbbbbbbbbbbbbbbbbbfed defbbbbbbbbbbbbbbbbbbbbbfed defbbbbbbbbbbbbbbbbbbbbbfed ddefbbbbbbbbbbbbbbbbbbbbbfed fbbbbbbbbbbbbbbbbbbbbbbbfed bbbbbbbbbbbbbbbbfed bbbbbbbffed d gac aaaaac aaaaaaaag caaaaaaac aaaaaaaac gaaaaaaaag caaaaaaac aaaaaaaag gaaaaaaaag caaaaaaac gaaaaaaaag gaaaaaaaag caaaaaaac gaaaaaaaag gaaaaaaaa caaaaaaac gaaaaaaaag caaaaaaaa caaaaaaac gaaaaaaaag caaaaaag caaaa aaaa aaaa aaac gaaag caaa aaaa aaaa aaac gaaag caaa aaaa aaaa aaac gaaag caaa aaaa aaaa aaac gaaag caaa aaaa aaaa aaac gaaag caaa aaaa aaaa aaaa gaaag caaa aaaa aaaa aaaa gaaac caa g ``` <!-- end of image -->
[ "" ]
I'm ready to tackle this image and find those intersections! These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#9e5686ff b,#d0b8c0ff c,#916366ff d,#eadfe3ff e,#b28c9aff f,#b1d7b1ff g,#97c897ff ``` ```image aaaeebbd daaaaaaaaaaaaaaaaeebbd dbbeeaaaaaaaaaaaaaaaaaaaaeebbd ddbbeeaaaaaaaad dbbeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae dbbeeaeeebbdd daaa aaad eaae daaa aaad eaae daaa aaad eaae daaa aaad eaaeggggggggggggggg daaaffffffffffffff gaaafffffffffffff gfeaaefffffffffff gffgaaaffffffffff gffffaaafffffffff gfffffeaaefffffff gffffffgaaaffffff gffffffffaaafffff gfffffffffaaaefff gffffffffffgaefff gffffffffffffffff gffffffffffffffff gffffffffffffffff gffffffffffffffff gffffffffffffffff gfffffffffffccfff gffffffffffgcefff fggggggggggeceggg bcb ecd ecd cc cc cc cc cc cc cc cc cc cc dce dce bcb bcb ecd ecd cc cc cc cc cc cc cc cc cc cc dce dce bcb bcb ecd ecd cc cc cc cc cc cc ddbbbeeecccccccc dddbbeeeccccccccccccccccccccccccccccce ddbbbeeecccccccccccccccccccccccccccccccccceeebbbdd bbeeeccccccccccccccccccccccccccccccccccceeebbddd cccccccccccccccccceeebbbdd bbddd ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#9e5586ff b,#caa4bcff c,#916265ff d,#f2eaefff e,#b47fa0ff f,#e2cfdaff g,#a4618eff ``` ```image aaab aaaaed gaaaagf deaaaaab baaaaaed fgaaaagf deaaaaab baaaaaed fgaaaagf deaaaaab baaaaaed fgaaaagf deaaaaab baaaaaed fgaaaagf deaaaaab baaaaaed fgaaaagf deaaaaab baaaaad fgaab dee ffdd dccce fccce fcccb ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#9e5586ff b,#c9acb7ff c,#916265ff d,#ebe0e5ff e,#aa7f8bff f,#d9c5ccff g,#bb92a6ff ``` ```image aaaegbfd daaaaaaaaaaaaaaaaegbfd dfbgeaaaaaaaaaaaaaaaaaaaaegbfd ddfbggeaaaaaaad dfbgeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaag dfbgeaeggbfdd daaa aaad gaag daaa aaad gaag daaa aaad gaag daaa aaad gaab daaa aaad gaab daaa aaad gaab faaa aaad eaab faf dce fcg fcb bcf gcd ecd cc cc cc cc cc cc cc cc cc ce dce dcg fcb bcf gcd ecd ec cc cc cc cc cc cc cc cc cc dce dcg fcb bcf gcf ecd ec cc cc cc cc cc ddfbbgeecccccccc ddffbggeecccccccccccccccccccccccccccce ddfbbgeecccccccccccccccccccccccccccccccccceegbbfdd fbggeeccccccccccccccccccccccccccccccccceegbbffdd cccccccccccccccccceegbbfdd bffdd ``` <!-- end of image -->
[ "" ]
The hunt for intersections begins! Let's analyze this image closely. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#858154ff b,#8dc699ff c,#726330ff d,#cedecdff e,#a3a27fff f,#b1d7b1ff g,#eef5eeff ``` ```image ggddd gffeeeeaaaccccccccccccccccccccaa deacccccaeeeeffddgg deacccccaedg deccccccefg ced ae c ae c ae c ee c ee d gbbbbbbbbbbbbbbbbbbbbcbbbbbbbf gfffffffffffffffffffaafffbfbbb gfffffffffffffffffffcfffbbffbb gffffffffffffffffffaafffbffffb gffffffffffffffffffcfffbbffffbb gfffffffffffffffffeafffbfffffbfb gfffffffffffffffffcfffbffffffb bf gffffffffffffffffecffbbffffffb bd gffffffffffffffffcfffbfffffffb bg gfffffffffffffffecffbbfffffffb gb gfffffffffffffffcfffbffffffffb db gffffffffffffffecffbfffffffffb fb gffffffffffffffcfffbfffffffffb bf gfffffffffffffecffbffffffffffb bg gfffffffffffffcffbbffffffffffb b gffffffffffffecffbfffffffffffb gb gffffffffffffcffbffffffffffffb db gfffffffffffbcffbffffffffffffb bb gfffffffffffcbfbfffffffffffffb bd gffffffffffbcfbbfffffffffffffb bg gffffffffffcbfbffffffffffffffb gb gfffffffffbcfbbffffffffffffffb db gfffffffffcbfbfffffffffffffffb fb gfffffffffcfbffffffffffffffffb bf gffffffffcebbffffffffffffffffb bd gffffffffcfbfffffffffffffffffb bg gfffffffcebbfffffffffffffffffb gb gfffffffcfbffffffffffffffffffb db gffffffcebfffffffffffffffffffb fb gffffffcbbfffffffffffffffffffb bd gfffffcebffffffffffffffffffffb bg gfffffcbbffffffffffffffffffffb b gffffcebfffffffffffffffffffffb gb gffffcbffffffffffffffffffffffb fb gfffaabffffffffffffffffffffffb bf gfffcbfffffffffffffffffffffffb bd gffaabfffffffffffffffffffffffb bg gffcbffffffffffffffffffffffffb gb gfaafffffffffffffffffffffffffb db gfcbfffffffffffffffffffffffffb fb gaaffffffffffffffffffffffffffb bf gcbffffffffffffffffffffffffffb bg eafffffffffffffffffffffffffffb b cbfffffffffffffffffffffffffffb gb ggggggggggggggggggggggggggggg db bb bd bg gb db fb bf bd bg gb db fb bf bg b gb fb bf bd b ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#8a8157ff b,#83c299ff c,#726330ff d,#c6d7c4ff e,#b0a88dff f,#9ed0b0ff g,#e4ede4ff ``` ```image gccg dbbg eca gbbbf gccd fbfbbf eca gbbggbbd gccd fbd gbb eca dbb db gccd bbd f eca fbf gccd gbbg eca fbd gccd dbb eca bbd ccd dbf eca gbbg ccd fbf eca dbb ccd bbd eca dbf cce gbbg ecc fbf ace gbbg dcc bbd ace dbf dcc gbbg ace fbf dcc gbbg ace bbd dccg dbb ace gbbg dccg fbf ace gbbg dccg fbd ace dbb dccg gbbg ace fbf dccg gbbg ace fbd gccg dbb ace bbd gccg fbf eca gbbg gccg fbd eca dbb gccd bbd eca dbf gccd gbbg eca fbf gccd dbb eca bbd gccd dbf eca gbbg gccd fbf eca gbbg gccd bbd eca dbf ccdgbbg eca fbf ccdgbbg eca bbd ccedbb eccgbbg acefbf dccgbbg acefbd dccdbb acebbg dccfbf acebbg dccbbd acebb dccbbd acabf dccbbg acabd dccbb acabd dccbf acabg gccbf acab gccbd acaf gccbg ecaf gccbg ecad ccb ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#918861ff b,#85c49bff c,#736331ff d,#ccdac8ff e,#b5ad93ff f,#a6d4b6ff g,#e5efe6ff ``` ```image ggddd gdeeeeaaacccccccccccccccccccccaa deacccccaaeeeedddgg deacccccaed daccccccaeg ced ae c ae c ae c aa c aa d c gbb ea bgbd c db bg ea b b c ff gb ea b fb c bg bf ec db bd c b bg ec ff gb c b db dc bg fb cg gb bf dc b bg cg ff b dc b gb cg bd db dc gb bf cg b bd gc ff bg cd b b gc bd gb cdgb fb gc bg bf cdfb bg gc b b cdbd gb cgb db cebg fb cdb bd ceb bg cbd b aeb gb cbg fb aab bf cb bd aaf bg cb gb aag db cb fb aa bf cf bg ac b cg gb db bf bd bg b gb fb bf bg b gb db fb bd bg b gb fb bf bd b ``` <!-- end of image -->
[ "" ]
No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#1c6728ff b,#a1f13bff c,#75a27cff d,#daeecaff e,#488451ff f,#a1c0a6ff g,#c2f581ff ``` ```image d dgbbbg gbbbgd gbbbbd gbbbbd dbbbbg dbbbbg dgbbbg dgbbbgd dgbbbgd dgbbbgd dgbbbgd ddddggggbbbbbbbbbbgd bbbbbbbggggdddd d daaeaf eaed eaf caad cac faaf cac daac fae eae fae caad daf faaf e daac a eae a caad ff faaf a daac a eae ed caad fc faaf a daac a eae ed caad de faaf a ac a cf a a a fc a a ed de a a cf de a a cf a a a fc a a ``` <!-- end of image -->
[ "" ]
Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#cfb55fff b,#d74876ff c,#eca9beff d,#c19e2cff e,#e1799bff f,#dbc888ff g,#f4dbdaff ``` ```image g fa fa fa fa fa fa fa f fa fdg fa gdf fa da fa ad fa fdg aa fdg aa gdf aa da aa dd aa ad aa fdg af gdf af da af dd af gdg af ad af df af gd af da af dg af fd af df af gd af aa af dg af fd af df ad eb cbg b e cbc gb bg gbc ec eb be b cgb bb b b ge eb ge b b eb eg b cc cbg b gc b cbc b e e gbc ce b e gbe bg b b be b e cc bb b cg b eb ce b eg ebg bg b b cbg b b b cbc gc ge gbc e b gbe b cg be b b bb e b eb cg ge ebg b b cbg b cebc b c gc e b b e cg b b b gc e b b e cg b ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#ef127bff b,#50b80dff c,#b1d6b0ff d,#e474a5ff e,#f0efeaff f,#77c647ff g,#97cb90ff ``` ```image ead aa aa a aa daa aa eaa dad aae ead aad aa daa aa eaa aa aae aae aad dad aaa eaa daa aa eaae aa aad aa aaa aae daa dad eaa eaa aae aa aad aa daa aa eaa dae aae b dad aad fbb eaa aaa bbb ggaagggggggggggc eeeeeeeeeeeeeeeeeeeeedaa bbb eccaacccccccccccg gcccccccccccccccccccccaae ebbb eccaacccccccccccg gccccccccccccccccccccaad gbbf eccdadccccccccccg gcccccccccccccccccccaaag fbbc eccdadccccccccccg gccccccccccccccccccdaacg bbbe ecccaaccccccccccg gccccccccccccccccccaaccg ebbb ecccaaccccccccccg gcccccccccccccccccaadccg cbbf efgcccaaccccccccccg gccccccccccccccccaaacccg fbbg ebbcccaaccccccccccg gcccccccccccccccdaaccccg bbbe bbcccdadcccccccccg gcccccccccccccccaacccccg bbb bbcccdadcccccccccg gccccccccccccccaaccccccgebbb gbfcccaacccccccccg gcccccccccccccaadccccccfbbf ebbcccaacccccccccg gccccccccccccaaaccccccfbbc bbcccaacccccccccg gccccccccccaaaaccccccbbbe bbcccaacccccccccg gccccccccaaaacccccccbbbg fbfccdadccccccccg gccccccaaaacccccccgbbbcg ebbcccaaccccccccg gccccaaaadcccccccfbbfccg ebbcccaaccccccccg gccaaaadccccccccbbbgcccg ebbcccaaccccccccg gaaaadcccccccccbbbcccccg efbgccaaccccccccg aaaadcccccccccgbbbccccccg egbbccaaccccccccg aaaadccccccccccfbbfcccccccg ecbbccdadcccccccg daaad eeeeeeeeeefbbceeeeeeee ecbbcccaacccccccg daaad bbbe ecfbgccaacccccccg daaad ebbb ecgbbccaacccccccg daaad cbbf eccbbccaacccccccg daaad gbbg eccbbccaacccccccg daaaa bbbe eccfbgcdadccccccg daaaa bbb eccgbbccaaccccccg daaaa ebbb ecccbbccaaccccccgeaaaa cbbf ecccbbccaacccccdaaaae fbbc ecccfbgcaaccccaaaae bbbe ecccgbfcdaccaaaag ebbb eccccbbcdaaaaaccg cbbf egcccbbccaaagcccg gbbg eeeefbcedeeeeee bbbe cbf bbb bb ebbb bb cbbf bbe fbbc gbg bbbe ebb ebbb bb cbbf bb gbbg fbe bbbe cbf bbb bb ebbb bb cbbf bb fbbc fbc bbbe ebf ebbb bb cbbf bbgbbg bbbbe gbb c ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f00f7aff b,#50b80dff c,#b6e19aff d,#f354a0ff e,#f2d8deff f,#87ce59ff g,#f794c3ff ``` ```image daaae gaaag gaaad eaaad aaaa aaaae daaae gaaag gaaad eaaad aaaa daaae daaag gaaag gaaad eaaad aaaa e daaae c daaag f gaaag b eaaad be eaaaa bc aaaa bf daaae bb daaag bbe gaaag bbc eaaad bbf aaaa bbb aaaa bbbe daaae bbbc gaaag bbbf gaaad bbbb eaaad bbbbe aaaa fbbbc aaaa cbbbf daaae ebbbb gaaag bbbbe gaaad fbbbc eaaad cbbbf aaaa ebbbb aaaae bbbbe daaae fbbbc gaaag cbbbf gaaad ebbbb eaaad bbbbe aaaa fbbbc daaae cbbbf daaag ebbbb gaaag bbbb eaaad fbbbc eaaad cbbbf aaaa ebbbb daaae bbbb daaag fbbbc gaaag cbbbf eaaad ebbbf eaaaa bbbb aaaa fbbbc daaae cbbbf daaag ebbbf gaaag ed bbbb eaaad edaa fbbbc aaaa edaaaa cbbbf aaaa edaaaaaa ebbbf daaae edaaaaaaad bbbb gaaaddaaaaaaade fbbbc gaaaaaaaaaade cbbbc eaaaaaaaade ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Let's shift our focus to the next area. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0107bff b,#50b80dff c,#bae3a0ff d,#f3519fff e,#f6d8e2ff f,#7ac946ff g,#f896c5ff ``` ```image ea aa daa gaaa eaaaa eaaaaa daaaae gaaaag gaaaad eaaaad daaaae daaaag gaaaag eaaaad aaaaae daaaae gaaaag eaaaad eaaaaa daaaae gaaaag gaaaad eaaaad edaaaaae f edaaaaaag ebb edaaaaaaag cbbb edaaaaaaade cbbbb edaaaaaaade fbbbbb edaaaaaaade efbbbbbc gaaaaaaade cbbbbbfe gaaaaaaade cbbbbbf gaaaaaaade fbbbbbc gaaaaaaadg fbbbbbc gaaaaaaadg ebbbbbbe gaaaaaaaag cbbbbbf gaaaaaaaag cbbbbbf aaaaaaaag fbbbbbc aaaaaag efbbbbbc aaaag cbbbbbfe ``` <!-- end of image --> No luck this time. Area B doesn't have an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f00f7aff b,#50b80dff c,#b8e29eff d,#f34a9bff e,#f1daddff f,#7dca4cff g,#f78cbfff ``` ```image ead aa aa d aa daa aa eaa gag aae ead aad aa daa aa eaa aa aae aae aag gag daa ead gaa aa aa aa aag aa aad dae gaa gag eaa ead aae aa aad aa daa aa eaa dae aae b gag aag fbb aa daa bbb aa gaa bbb aa aa ebbb aa aag cbbf dae aad fbbc gad gaa bbb aa eaa bbb aa aae cbbf efc aa aad fbbc bb aa daa bbbe bb dag eaa bbb bb ead aae ebbb fbc aa aad cbbf bb aa eaaa fbbc bb aa eaaaa bbb bb aa eaaaae bbb fbc gag aaaae cbbf ebb ead aaaae fbbc bb aa aaaag bbbe bb aa aaaag bbb fbc aa daaag ebbb ebb dae daaag cbbf bb gag daaag fbbc bb ead daaag bbb fbc aa daaad bbb ebf aa gaaad cbbf bb aa gaaad fbbc bb dae gaaad bbbe fbc gag gaaad bbb ebf eaa gaaaa ebbb bb aa gaaaa cbbf bb aa eaaaa fbbc fbc aa eaaaa bbb ebf daeeaaaae bbb bb gaaaaae cbbf bb aaae fbbc fbc de bbbe cbf bbb bb ebbb bb cbbf bb fbbc cbc bbbe bb bbb bb cbbf bb fbbc fbe bbbe cbf bbb bb ebbb bb cbbf bb fbbc fbc bbbe ebf bbb bb cbbf bbfbbc bbbbe cbb c ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8c41f9ff b,#237a69ff c,#c6a1fcff d,#57998cff e,#9ac1baff f,#e2daf7ff g,#a971faff ``` ```image ga caa faaac faafaa aa aaf aa gaf aac gaf aa aag fag cag aaa aa aa gaa aa faa gaa cac aaf caa aa aa faa aa gac aaf aa aa aac fag fag aac aa aa aag aa aa aaa gaf gaf gaa aa aa caa aa cag faa aa aa faaf cac faa aaf aa aaf aac aa aa faa gaf gac aa fag aa gag aa fag aa aa aa gf aac cac aa faa faa aa gaf aaf aa aa aa aa cag gaf cag gac aa fag aa aa aac aa faa gag faa aa aaf aa aaf cac aa caa cag aa gac aa aa aa aa faa aac gaf cag aaf faa fag aa aa aaf aa aa aac caa aa gaf aa aa cac aa gag aac aa cag aa faa aa aa cag aaf aa faa aa caa cacaaf faa aa aaaa aaaac aaac faaa gaa aaf fag feeddbbbbe f ffeedbbbbbbbbbbbbbbbbbd bbbbbdee feeddbbbbbbbbbbbbbbbbbbbddeef fdbbbbbbbbbbbbdef ffeedbbbbbbbbbbbbbbbbbbbddeef fedbbbbbbbbbbbbdeeddbbbbbbbbbbbbbbbbbbbddeef eedbbbbbbbbbbbbbbbddeef feef ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#856a74ff b,#c4afb3ff c,#8c595fff d,#e9e4e5ff e,#ad999fff f,#d5cacdff g,#9a828aff ``` ```image baaggebfdd aaaaaaaaaaaaaaaaaaagebffd aa dfbeegaaaaaaaaaaaaaaaaaaaaaaagebffd aa dfbbegaaaaaaaaaaaaaaaaaaaaaaagebbfd aa dffbegaaaaaaaaaaaaaaaaaaaaaaagb aa ddfbegaaaaaaaaae aa aa aa aa aa aa aa ag ag dae dae dae fab fab baf baf bad ead ead ga ga aa aa aa aa aa aa aa aa aa aa aa aa aa aa aaed aa faaaaaaed ag fgaaaaaagf ag deaaaaaaae deaaab e dccccf fccccccgd eccccccb fgccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccccccb bcccce bd ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#995edcff b,#611d87ff c,#cdb3e9ff d,#e7dcf3ff e,#a47dbaff f,#8551a2ff g,#b48be1ff ``` ```image a ca aa gg g cd a c c g g a a a dd a a g a c cd dd a c g g c a a a g a g g a cd c c g g a a dc a a a a g dd c a dd ca c gc g a a da a gg a ad g da c cg dc ad g a a dgcccccccccccccc ca a a gc a cd ad g a da c a gg dd dg ad c a da g cd cg a a ac a g a a g da ga gc cc ad da gg ad a cg ac df a dbbc be da cbbc dbd d cbbc eb cbbc be gbfd dbc gbfd gb ebfd ff ebf bg ebf cbd ebe eb fbe be dfbe dbd dfbe eb fg ff dbc cbd ff be dbd eb be db ``` <!-- end of image -->
[ "" ]
Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b29fc2ff b,#90a260ff c,#e3e0e3ff d,#bbc69dff e,#c9bcd4ff f,#ced6baff g,#a7b581ff ``` ```image c aaa eaac aaa eaac aaa eaac aaa eaac aaa caae aaa caae aaa caae aaa caae aaa caae aaa caaa aaa aaa aaa aaa aaa aaa c aaa caaaaa aaa ceaaaaaaaaa aaa ceaaaaaaaaaaaec aaa eaaaaaaaaaaaac aaac caaaaaaaaaaaae aaa ceaaaaaaaaaaaec eaac ceaaaaaaaaaaaec aaa ceaaaaaaaaaaaac eaac eaaaaaaaaaaaae aaa caaaaaaaaaaaaec eaac ceaaaaaaaaaaaec aaa ceaaaaaaaaaaaec eaaaaaaaaaaaac aaaaaaae caec cdb fgbbbbbb cdbbbbbbbbbbbb fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf fgbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbgf cbbbbbbbbbbdc dbbbbgf gbb bbb bbb bbb bbb bbg bbd bbf cbbc cbb fbb dbb gbb bbb ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#98a7cbff b,#063797ff c,#ae40e2ff d,#dfccf2ff e,#c67de8ff f,#b0d6b0ff g,#4b70b0ff ``` ```image ecc dcccc cccccc cccdecccd ecce dccce dccc ccce ccc cccc ccc cccc cccd eccc ecce ecccd dccc dccce ccc ccce ccc cccc cccd cccc ecce cccc dccc ecccd ccc dcccd cccd ccce ccce cccc dccc cccc ccc cccc ccc ecccd cccd dcccd ecce dccce dccc cccc ccc cccc ccc cccc cccd ecccd ecce dcccd dccc dccce ccc cccc ccc cccc ffffffffffffffffff ccce cccc ffffffffffffffffff eccc ecccffffffffffffffffff ecc dcccaffffffffffffffff d dcccefffffffffffffff ccccffffffffffffff fccccfffffffffffff ffccccffffffffffff fffecccfffffffffff ffffacccafffffffff ffffffccceffffffff fffffffccccfffffff ffffffffccccffffff fffffffffccccfffff ffffffffffecccffff fffffffffffacccfff fffffffffffffcafff ffffffffffffffffff ffffffffffffffffff ffffffffffffffffff ffffffffffffffffff ffffffffffffffffff ffffffffffffffafff fffffffffffgbbbfff fffffffffgbbbbbfff ffffffabbbbbbaffff ffffgbbbbbbfffffff ffbbbbbbgfffffffff abbbbbba gbbbbbg dbbbg dbbbbbba abbbbbbbgd abbbbbbd abbbabbbbbbbbd gbbbbbg gbbb abbbbbbbba dbbbbbba gbbb dgbbbbbbba abbbbbbd bbbb gbbbbbbbg gbbbbbg bbbb abbbbbbbgd dbbbbbba bbbb abbbbbbbbbbbbbg bbbg dbbbbbbbba dbbba dgbbd dbbba abbbd gbbbd gbbb bbbb bbbb bbbb bbbg bbbg ba ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#7c95c8ff b,#063797ff c,#ae3fe2ff d,#d0aaecff e,#c16ce8ff f,#e7d9f5ff g,#3b61adff ``` ```image e ccf cccf ccccd cccccd cccccce ecccccce eccccccef dcccccccf dcccccccd fcccccccd fccccccce ecccccce eccccccef dcccccccf dcccccccd fcccccccd fccccccce fecccccce eccccccef dcccccccf dcccccccd fcccccccd fccccccce fecccccce eccccccef dcccccccf dccccccc fcccccd fcccd fee faf dgbba agbbbbb fabbbbbbbba dgbbbbbbbbbbg fabbbbbbbbbbbbaf fabbbbbbbbbbbgd agbbbbbbbbbbbaf fabbbbbbbbbbbgaf dgbbbbbbbbbbbgd ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#839bcbff b,#063697ff c,#ae3fe2ff d,#d0b5ecff e,#c575e9ff f,#e8ddf6ff g,#3e63aeff ``` ```image dcc fcccc cccccc cccfecccf ecce fcccd dccc fccce ccc cccc ccc cccc cccf eccc ecce ecccf fccc dcccd ccc fccce ccc cccc cccd cccc ecce eccc fccc ecccf ccc dcccd cccf fccce eccd cccc dccc cccc fccc cccc ccc ecccf cccf dcccd ecce fccce dccc cccc ccc cccc ccc cccc cccd ecccf ecce dcccd fccc fccce ccc cccc cccf cccc cccd cccc dcce ecccf ecc dcccd d fccce cccc cccc cccc ecccf dcccd fccce cccc cccc cccc ecccf dccc fcd ff abbb gbbbbb dbbbbbbd abbbbbgf gbbbbba dbbbbbbd abbbbbg fbbba fbbbbbba dbbbbbbbgf abbbbbbf abbbabbbbbbbgd gbbbbbg gbbbf dbbbbbbbba fbbbbbba gbbb fgbbbbbbba abbbbbbf bbbb fgbbbbbbbg gbbbbba bbbb abbbbbbbgf dbbbbbbd bbbg abbbbbbbbbbbbbg bbbg dbbbbbbbba fbbba fgbbd dbbba abbbd abbbf gbbb gbbb bbbb bbbb bbbg bbbg ba ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#889fa4ff b,#c126b0ff c,#cfced8ff d,#d073c5ff e,#96c996ff f,#edeceeff g,#b0d4b1ff ``` ```image a fac caa gaa aaa aaac aaaa aaaa agca ac ac af aa fa aa ca ca ga ac aa aa aa aa aa ca ag ac ac aa ac aa faf ca ca ac ga aa aa aa aa ca aa ac aa aa aa aa aaf ca aac ac caa aa faa aa aa ca aa ac aaf aa gac aa caa ca faa ac aa aa aa aa aaf ca gac ac caa aa faa aa aa ca aa ac aaf aa gac aa caa ca faa ac aa aa aa aa aaf ca gac ac caa aa faa aa c aa ca caag aa bbb ac caaaf aaf dbbbbb aa caaaf gag bbb cbbc aa caaaf eeeeeeeeaaeeeeeeegdbbc bbd ca caaaf fgggggggaaggggggggbbb dbb ac caaac fggggggaagggggggdbbc cbbc aa faaac fgggggaagggggggbbbe bbd aa faaac fggggaaggggggbbbgge bbb ca faaac fgggaaagggggbbbggge cbbf ac faaac fgggaaggggbbbggggge bbd aaaaac fggaagggabbdgggggge bbb aaac fgaagggbbbgggggggge cbbf fc faaggdbbdggggggggge bbd aaggbbbggggggggggge bbb faadbbdgggggggggggge dbbf fbbbgggggggggggggge fbbd cbbf fbbdggggggggggggggge bbb cdbbbbbc dggggggggggggggggge dbbf fdbbbbbd fegggggggggggggggge fbbd dbbbbbdf fffffffffffffffff bbb dbbbbbdf dbbf cbbbbbbc fbbddbbbbbd bbbbdf f ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#869da3ff b,#c124afff c,#bbc8cbff d,#cf55c1ff e,#e199d9ff f,#ebdeecff g,#9aadb2ff ``` ```image caaag faaag faaaaf gaaaf f gaaac eb caaac fdbb caaag ebbbb faaag fdbbbbd faaaaf ebbbbbe gaaaf fdbbbbdf gaaac ebbbbbe caaac fdbbbbdf caaag ebbbbbe faaag fbbbbbdf faaaaf dbbbbbe gaaaf ebbbbbdf gaaac fdbbbbbe caaac ebbbbbd caaag fdbbbbbf faaag ebbbbbe faaaaf fdbbbbdf gaaaf ebbbbbe aaac fdbbbbdf aac ebbbbbe ggfdbbbbdf febbbbbe bbbbbdf bbbbe bbdf de ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#879ea4ff b,#c124afff c,#cad4d6ff d,#d15fc5ff e,#e39fdcff f,#ebe1edff g,#a6b6bbff ``` ```image g fac caa gaa gaa aaac aaaa aaaa agca ac ac af aa fa aa ca ca ga ac aa aa aa aa aa ca ag ac ac aa ac aa fa ca ca ac ga aa ga aa aa ca aa ac ag aa aa aa aaf ca gac ac cag aa faa aa aa ca aa ac aaf aa gac aa cag ca faa ac aa aa aa aa aaf ca gac ac cag aa faa aa aa ca aa ac aaf aa gac aa cag ca faa ac aa aa aa aa aaf ca gac ac cag aa faa aa c aa ca caag aa bbd ac caaaf aaf ebbdbb aa caaaf gag bbb fbbe aa caaaf caa dbbe bbd ca caaaf aa fbbb dbb ac faaac aa dbbe ebbf aa faaac aa fbbb bbd aa faaac aaf dbbf dbb ca faaac gag fbbd ebbf ac faaac caa bbbf bbd aaaaac aa ebbd bbb aaac aa bbb ebbf c aa ebbd bbd aac bbb bbb fagebbe ebbf fbbb fbbd ebbf fbbe bbb fdbbbbbe d ebbf fdbbbbbe fbbe ebbbbbdf bbb ebbbbbdf dbbf ebbbbbbe fbbedbbbbbe bbbbdf f ``` <!-- end of image -->
[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b6bcbff b,#7d6b68ff c,#99c1e8ff d,#9db89bff e,#5598d4ff f,#d2d9e1ff g,#b1d6b1ff ``` ```image aa eaaa aaaae aaaaa aaaaaa aaaaaae cef aae aaaf aaa faac caaa aaa eaa aaae aae aaa aaaf eaaf aaa faaa aaa aaa aaaa aaa aaa aaaf faae aae faaa eaa caac eaaa aaa eaa aaac aaa aaa faaa caac aaa eaaa aaa aaa aaac aaa aaa aaa aae aae eaaa eaaf caac aaac aaa eaa aaa aaa aaa eaaa faae aaa aaac eaaf aaa aaa dgggggaaagggggggg aaa eaaa dgggggaaagggggggg aae aaae dggggeaaeggdggggg caac aaa dggggaaagggbbbggg eaa caaa dggggaaagggbbbggg aaa aaae dggggaaagggbbbggg aaa aaa dgggeaadgggbbbggg caaa dgggaaaggggbbbggg aaae dgggaaagggdbbdggg aaaf dggdaaegggdbbdggg caaa dggeaaggggbbbgggg aaae dggaaaggggbbbgggg aaaf dggaaaggggbbbgggg faaa dgeaaeggggbbbgggg aaaa dgaaagggggbbbgggg aaaf dgaaagggggbbbgggg faaa dgaaaggggdbbdgggg eaaa deaadggggdbbdgggg aaac daaagggggbbbggggg faaa daaagggggbbbggggg eaaa daaegggggbbbggggg aaac aaaggggggbbbggggg faaa aaaddddddbbbddddd eaaa aaa bbb aaac caac bbd ff aaa aaa fbbf bbf eaaa aaa dbb dbbb aaac aae bbb bbbb aaa caaf bbb bbbb eaaa aaa bbb fbbbbg aaae aaa bbb bbbbbb aaa faae bbb bbbbbb caaa eaaf bbd bbbbbb aaae caaa fbbf dbbfgbbg aaa faaaf dbb bbb bbb caaa aaac bbb bbb bbb aaae aaae bbb bbd bbb aaaf aaaa bbb fbbf gbbf caaa aaaa bbb dbb bbb aaae aaaa bbb bbb bbb aaaf eaaa bbd bbb bbb faaa caaaf fbbf bbb gbbf aaaa faaac dbb fbbd bbb dgggaaadgdaaaegd bbb gbbf bbbdf dgggdaaagaaaaggg bbb bbb bbbbbbbbbbdf dggggaaaaaaagggg bbb bbb fbbbbbbbbbbbbbbbbdf dgggggaaaaaggggg bbb bbb fdbbbbbbbbbbbbbbbbbbdg dgggggdaaagggggg bbb bbb fdbbbbbbbbbbbbbbbbbbdg dggggggeaggggggg bbd fbbg fdbbbbbbbbbbbbbbbbbbbdgggggggggggg fbbg dbb fdbbbbbbbbbbbbbbbbbbbdggggg dbbf bbb fdbbbbbbbbbbbbbbbbbbdgf dbb dbb dggddbbbbbbbbbbbbbbbbbbdgf bbb dgggggggggddbbbbbbbbbbbbbbbbbb dggggggggggggggg fdbbbbbbbbbbb dggggggggggggggg fdbbbf dggggggggggggggg dggggggggggggggg ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#096acbff b,#7c6967ff c,#79aee2ff d,#998a89ff e,#3585d4ff f,#bfb6b5ff g,#dbe0e6ff ``` ```image eaaaaae gaaaaaaag gaaaaaac geaaaaaac caaaaaag eaaaaaac eaaaaae eaaaaaae gaaaaaac caaaaaae caaaaaacaaaaaaeg eaaaaaaaaaaaag gaaaaaaaaaaag caaaaaaaaac eaaaaaaac gaaaaaac caaaae caac fgg bbbbddffgg bbbbbbbbbbbddffgg bbbbbbbbbbbbbbbbbbddffgg bbbbbbbbbbbbbbbbbbbbbbbbbddffgg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gffddbbbbbbbbbbbbbbbbbbbbbbbbbb ggffddbbbbbbbbbbbbbbbbbbb ggffddbbbbbbbbbbbb ggffddbbbbb ggff ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Now, let's dive into another area. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#096acbff b,#7c6967ff c,#8ebae6ff d,#9f918fff e,#4890d8ff f,#c2b9b8ff g,#d7dfe9ff ``` ```image eaaaaa aaaaae caaaaac caaaaag eaaaaa gaaaaae caaaaac gg eaaaaag dbbbdf aaaaaa bbbbbd gaaaaae bbbbbf caaaaac gbbbbbf eaaaaa fbbbbbf aaaaae fbbbbbg gaaaaac fbbbbb caaaaag dbbbbb eaaaaa dbbbbd gaaaaae bbbbbd caaaaac bbbbbd eaaaaag gbbbbbf aaaaaa gbbbbbf gaaaaae fbbbbbg caaaaac fbbbbb eaaaaa dbbbbb aaaaae dbbbbb gaaaaac bbbbbd caaaaag bbbbbd eaaaaa gbbbbbf gaaaaae gbbbbbf caaaaac fbbbbbg eaaaaag fbbbbbg aaaaaa dbbbbb gaaaaae dbbbbb caaaaac bbbbbd eaaaaa bbbbbd aaaaae gbbbbbf gaaaaac gbbbbbf caaaaag fbbbbbg eaaaaa fbbbbbg gaaaaae dbbbbb caaaaac dbbbbb eaaaaag bbbbbd aaaaaa bbbbbd gaaaaae gbbbbbf caaaaac gbbbbbf eaaaaag fbbbbbg aaaaae fbbbbbg ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0a6bcbff b,#7d6a68ff c,#9fc4eaff d,#aa9e9dff e,#5598daff f,#d0c9c8ff g,#dde7f1ff ``` ```image gaag eaaa aaaae aaaaag aaaaaa aaaaaae ceg aae aaag aaa caac caaa aaa eaag aaae gaae aaa aaag eaag aaa caaa aaa aaa aaaa aaa aaa aaag gaae aae gaaa eaa caac eaaa aaa eaag aaac aaa aaa gaaa caac aaa eaaa aaa aaa aaac aaa aaa gaaa aae aae eaaa eaag caac aaac aaa eaa gaaa aaa aaa eaaa gaae aaa aaac eaa aaa aaa aaa aaa eaaa aaa gaae aaae caac g caac aaa aaa bbb eaa caaa aaa bbb aaa aaae aae bbb aaa aaag eaag bbb caaa aaa bbd aaae aaa gbbf aaag gaae fbbg caaa eaag dbb aaae aaa bbb aaag aaa bbb caaa caac bbb aaaa aaa bbb aaag aaa bbd gaaa aae gbbd eaaa eaac fbbf aaac aaa dbb gaaa aaa bbb eaaa gaae bbb aaac eaag bbb gaaa aaa bbb eaaa aaa bbd aaac caac gbbd gf gaaa aaa fbbf bbf eaaa aaa dbb dbbb aaac aae bbb bbbb aaa eaac bbb bbbb eaaa aaa bbb fbbbbf aaae aaa bbb bbbbbb aaa gaae bbb bbbbbb caaa eaag gbbd bbbbbb aaae caaa fbbf dbbgfbbf aaag caaag dbb bbb bbb caaa gaaac bbb bbb bbb aaae aaae bbb bbd bbb aaag aaaa bbb fbbf fbbf caaa aaaa bbb dbb bbb aaae aaaa bbb bbb bbb aaag eaaa bbd bbb bbb caaa caaag fbbf bbb fbbf aaaa gaaac dbbg gbbd bbb aaag aaae dbb dbbg bbbdf gaaa aaae bbb bbb bbbbbbbbbbdf eaaaaaa bbb bbb gbbbbbbbbbbbbbbbbdfg aaaaa bbb bbb fdbbbbbbbbbbbbbbbbbbdfg gaaa bbb bbd fdbbbbbbbbbbbbbbbbbbdfg ca bbd fbbf fdbbbbbbbbbbbbbbbbbbdfg fbbf dbb fdbbbbbbbbbbbbbbbbbbdfg dbbg bbb fdbbbbbbbbbbbbbbbbbbdfg dbb dbb fdbbbbbbbbbbbbbbbbbbdfg bbb fdbbbbbbbbbbbbbbbbbb fdbbbbbbbbbbb fdbbbf ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ec5fabff b,#8b60d8ff c,#e393c3ff d,#e9c9eaff e,#b1d6b0ff f,#580dcfff g,#95c697ff ``` ```image a ca ca ca cad d dad ad dad ac dad ca dac da ac a ac a ac ad aa ac aa fd ca aa ff da aa bf a aa dfd a aa fb ad aa ff ac aa bf aa ca dfd ca ggggggggggggggaa fb da eeeeeeeeeeeeecag ff a eeeeeeeeeeeecaeg bf a eeeeeeeeeeecaeeg dfd ad eeeeeeeeeeeaceeg fb ac eeeeeeeeeeaceeeg ff ca eeeeeeeeeaceeeeg bf da eeeeeeeeaceeeeeg dfd a eeeeeeeaaeeeeeeg fb a eeeeeeaaefgeeeeg ff ad eeeeeaaeeffeeeeg bf ac eeeeaaeeeffeeeeg dfd ca eeeaaeeeeffbeeeg fb da eeaaeeeegfbfeeeg ff a eaaeeeeebfefeeeg bf a aaeeeeeefbefbeegdfd ad aaeeeeeeefbebfeegfb ac aaggggggggfgggfggff ca ca f ffbf da ca df dffd a cad bf fb a dad ff ad dad fb ac dad fd ca dac f da ac df a ac cf a ac bf ad aa fb ac aa fd ca aa f da aa f a aa df a aa bf ad aa fb ac aa fc aa ca f ca ca f da ca df a cad bf ad dad ff geeaceeeeeeeeeead fb eeeaaeeeeeeeeeac fd eeecaeeeeeeeeacg f eeeeaeeeeeeeaceg df eeeeaeeeeeeaaeeg bf eeeeaeeeeeaaeeeg bf eeeeaceeeaaeeeeg fb eeeeaaeeaaeeeeeg fd eeeecaeaaeeeeeeg f eeeeeaaaeeeeeeeg f eeeeeaaeeeeeeeeg df eeeeeaeeeeeeeeeg bf eeeeeeeeeeeeeeeg ddcbbbffffb eeeeeeeeeeeeeeegdbbbffffffffffffffffffbbbc ddcbbfffffffffffffffffffbbbcdd ffffffffbbbbgeeeeeeg ff eeeeeeeeeeeeeeeg fb ggggggggggggggge d ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#ed5daaff b,#7a3fd9ff c,#f187c0ff d,#efb4dbff e,#a47ce5ff f,#560acfff g,#f3daefff ``` ```image daag d gaad da aac gaa aac gaaa caa gaaad daag gaaad daag gaaac gaad gaaac aac caac aac caac caa caac caa caac daag caac gaad caaag gaac caaag aac daaag caa daaag caa daaag daagdaaag gaacaaag gaaaaad aaaad caad gcd ggg gggddeeeeebbbbffffff eeeebbbbfffffffffffffffffffffff fffffffffffffffffffffffbbbbeeee ffffffbbbbeeeeeddggg ggg ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Okay, on to the next area of interest. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ed5fabff b,#793ed9ff c,#f39dcbff d,#cdb6f0ff e,#a67fe5ff f,#560acfff g,#f6d4eaff ``` ```image c ca caa caaa caaag caaag gaaag gaaag gaaag gaaac gaaac gaaac gaaac gaaac aaac aaac aaac caaa caaa bfd caaa dffb caaag dfffg caaag efffe caaag bfffb caaag bffffg caaag fffffe gaaag gffeffb gaaag dffdeffd gaaag effddffe gaaac eff bff gaaac bff effd gaaac ffb gffb aaac gffe bff aac dffe effd ac effd gffb ``` <!-- end of image --> It's a shame, but area B doesn't contain an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ed60acff b,#783cd8ff c,#f39eccff d,#c4aaeeff e,#986be1ff f,#560acfff g,#f1d6eeff ``` ```image a aa ca cag cag g cag ag gag ac gac ca gac ca ac a ac a aa ag aa ac aa fd aa aa ff ca aa bf ga aa dfg a aa fe ag aa ff ac aa bf aa aa dfg ca ca fe ga cag ff a cag bf ag gag gfg ac gag fe aa gac ff ca gac ef ga ac gfg a ac fe a aa bd ff ac aa ff ef ac aa ff gfg ca aa ffe fe ga aa dfef ff a aa ef f ef a aa fb fe gfg ag aa fd df fb ac aa fg fg ff ca ca f fbef ga ca gf dffd a cag ef fb a cag bb ag gag fe ac gac fg ca gac f ca gac gf a ac df a aa bf ag aa fe ac aa fd aa aa f ca aa f ga aa df a aa ef ag aa fb ac aa fd aa aa fg ca ca f ga cag df a cag ef ag cag bb ac gag fe aa gac fg ca gac f ga ac gf a ac df a aa bf ac aa fe ac aa fd ca aa f gaaa f aa df a ef ggddeebffffb gddeebbffffffffffffffffbbeed gddeebbffffffffffffffffbbeeddg fffffffbeeddgg gfb fb g ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#579ef1ff b,#7f8e11ff c,#edf4efff d,#9aac55ff e,#0c73efff f,#b2d2f9ff g,#b0d5aeff ``` ```image a ea fe ee fe ee ce ee ce ee cec ee cec ee cec ee cec ee ec ee ec ee ef ee a ef fec ae ea ef ae ae ef ef ee ae fe ef ea ae ae ef ef ae ee ef fe ae ea ef ae ae ef ef ee ae fe ea ea ae ae ea ef ae ee ea fe fe ea ea ae fe aef ea eef fe eec ea cee fe fee ea aea fe aef ea eec bg fe ee dbbbg ea cee cdbbbg fe fea cdbbbg ea aea cdbbbg fe eef cbbbbg ee ee cbbbbg ccccccfeccccccccccc cee cbbbbccgggggggeeggggggggggc fee gbbbbgggggggeggggggggggc aea gbbbbggggeegggggggggceef cggdbbggggegggggggggeec cggggbbgggeegggggggee cgggggdbdggeggggggeec cggggggdbbgeegggaeagc cggggggggbbgeggaeaggc cgggggggggbbeeeeggggc gbbbc cggggggggggbbeegggggc gdbbbbg cgggggggggggdddgggggc cdbbbbg cgggggggggggggbbggggc cdbbbbdc cggggggggggggggbbgggc gbbbbdc cgggggggggggggggbbggc gbbbbdg cggggggggggggggggdbdc gdbbbbg cgggggggggggggggggdbb cdbbbbg cgggggggggggggggggggbbcdbbbbdc cgggggggggggggggggggcbbbdc ccccccccccccccccccc ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#77b0f6ff b,#808e12ff c,#498177ff d,#a2ad53ff e,#0e74f0ff f,#dfe8e5ff g,#c9cf9aff ``` ```image feee aeea feee df aeea bbbgf feee bbbbbbgf aeea gdbbbbbbdf feee gdbbbbbg aeea gdbbbd feee gbbbdf aeea a gbbbbf feee ae fbbbbg aeea feee dbbbg feee feeee gbbbd aeea feeeef gbbbbf feee aeeea fbbbbg aeea aeeea fdbbbgfeee aeeea dbbbdaeea feeeef gbbbdeeeaeeeef fbbbceeeeee fdbbeeeea dbceea gbcbd gbbbbf fbbbbg dbbbg dbbbd gbbbdf fbbbbf fdbbbg dbbbd gbbb gbb fb ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4996f3ff b,#818f14ff c,#81b6f6ff d,#aeb868ff e,#0c73f0ff f,#c1dbfaff g,#dbdfbcff ``` ```image c ea fe ea fe ee fe ee fe ee e ee e ee e ee e ee ef ee ef ee ef ae a ef fe ae ea ef ae ae ef ef ee ae fe ef ea ae ae ef ef ae ee ec fe ae ea ec ae ce ef ec ee ce fe ec ea ce ae ec ef ce ee ec fe ce ea ec ae ce aef ea eef ce ee ea ee fe fee ea cea fe aef ea eef bd fe ee dbbbd ea fee dbbbg fe cea dbbbg ea aec gbbbbg fe eef gbbbbg ea ee gbbbbg fe ee gbbbbg ee fee gbbbbg fe cec gbbbb ee aef gbb fe ee bbg ee ee dbd e fee gbb ee cea bb e aec bbeeeef gbbbg bbee gbbbbbg dbd gdbbbbd gbb dbbbbd bb dbbbbdg bbg gbbbbbg dbd gbbbbbg gbb gdbbbbd bb dbbbbd bbbdg ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#775ee9ff b,#90fc84ff c,#4624e2ff d,#b7fcafff e,#d8d0f8ff f,#defddbff g,#ac9df1ff ``` ```image bf fdb b b b fb fd bf f b b fbbbf b b df dbbf fd fb b dbbf b dd b dbbf b bf b dbbf fd b b dbb b b fd dbd b fb df bbd fd bf b fbbd b b b fbb b b fb b dd ff bf d b b b b fb b bf d b fdbbb df b fdbbbbbdf b fbdbbbbdf b f b b fd df b b b b fd df b b b d ff d b c b gc b ca d ce df gc b aa b cg b gc b aa fd cg df ec b ac cg ec ac cg ece ac ca ece gc ca ce gc ca ce gc gcca eaccg gccae eaccg gcca eaccg gcca ccaaaggee eacce eeggaacccccca ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4031eff b,#96c35aff c,#fbb1b9ff d,#ed5f6aff e,#b2d7aeff f,#eff0e5ff g,#9fc98eff ``` ```image ffffffffffffffffffffffff fbgeeeeeeeeeeeeeeeeeeeeeeeg bbbbeeeeeeeeeeeeeeeeeeeeeeg fbbbbbbeeeeeeeeeeeeeeeeeeeeg fbbbbbbgeeeeeeeeeeeeeeeeeeg fgbbbbbbgeeeeeeeeeeeeeeeeg feegbbbbbbeeeeeeeeeeeeeeeg feeeebbbbbbbeeeeeeeeeeeeeg feeeeeebbbbbbbeeeeeeeeeeeg feeeegddebbbbbbgeeeeeeeeeg daaaaaaaaaegbbbbbbgeeeeeeeg aaaaaaaaaaaeegbbbbbbeeeeeeg aaaaaaaaaaaaeeebbbbbbbeeeeg aadgeeeedaaaaeeeebbbbbbgeeg feeeeeeedaaaaeeeegbbbbbbgg feeeeeeeedaaaaeeeeegbbbbbbf feeeeeeeeedaaaaeeeeeebbbbbbb feeeeeeeeeedaaaaeeeeeeebbbbbbg feeeeeeeeeeedaaaageeeeeeebbbbbbe ggggggggggggbaaaagggggggefbbbbbbf caaaac ebbbbbbf caaaac gbbbbbb caaaac bbbbbbg faaaac fbbbbbbe faaaac ebbbbbbf faaaac ebbbbbbf faaaad gbbbbbb faaaad bbbbbbg aaaad fbbbbbbe aaaad ebbbbbbf aaaad gbbbbbb aaaad bbbbbbb aaaad fbbbbbbe aaaad fbbbbbbe aaaaa ebbbbbbf aaaaa gbbbbbb aaaaa bbbbbbg aaaaa fbbbbbbe aaaaa fbbbbbbf aaaaa ebbbbbbf aaaaa gbbbbbe aaaaa bbbbb aaaaa fbbbf aaaaa bbbb aaaaa fbbb aaaaa bbbe daaaa ebbb daaaa bbbf daaaa bbbb daaaa fbbb daaaa bbbe daaaa ebbb daaaaf bbbf daaaaf bbbb caaaaf fbbb caaaaf bbbe caaaaf ebbb caaaac bbbf caaaac bbbb caaaac fbbb caaaac bbbe faaaac ebbb faaaac bbbf faaaac bbbb faaaad fbbb faaaad bbbe aaaad ebbb aaaad bbbf aaaad bbbe aaaad ff aaaad aaaad aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa aaa a ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4011cff b,#96c35bff c,#faa5aeff d,#f53147ff e,#bfda9aff f,#eaead8ff g,#f86878ff ``` ```image f bef bbbe bbbbbe bbbbbbbf bbbbbbbbef bbbbbbbbbbef bbbbbbbbbbbbe fbbbbbbbbbbbbbe fbbbbbbbbbbbbbf ebbbbbbbbbbbbef ebbbbbbbbbbbbe febbbbbbbbbbbbe fbbbbbbbbbbbbbf fbbbbbbbbbbbbbf ebbbbbbbbbbbbef febbbbbbbbbbbbe ffcgggcfebbbbbbbbbbbbe fccggdaaaaaaaag fbbbbbbbbbbbbbf daaaaaaaaaaaaaaaag ebbbbbbbbbbbbbf aaaaaaaaaaaaaaaaaag ebbbbbbbbbbbbef aaaaaaaaaaaaaaaaaaag febbbbbbbbbbbbe aaaaaaaaaaaaaaaaaaaag febbbbbbbbbbbbe aaaaaaaaaaaaaaaaaaaaad fbbbbbbbbbbbbbf aaaaaaadggccfgaaaaaaaad ebbbbbbbbbbbbef dggccf gaaaaaaaad ebbbbbbbbbbbbef gaaaaaaaad febbbbbbbbbbbbe gaaaaaaaad fbbbbbbbbbbbbbe gaaaaaaaad fbbbbbbbbbbbbb gaaaaaaaad ebbbbbbbbbbb gaaaaaaaadf ebbbbbbbbb caaaaaaaadf febbbbbbb caaaaaaaadf fbbbbbb caaaaaaaadf fbbbb caaaaaaaadf ebb caaaaaaaadf fe caaaaaaaaaf ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f4011cff b,#96c35bff c,#fbb4bbff d,#f53348ff e,#bed99aff f,#eeebdcff g,#f87583ff ``` ```image fbf bbbb fbbbbbe fbbbbbbe fbbbbbbf ebbbbbbf bbbbbbb bbbbbbe cggfbbbbbbe gdaaaaaaaa ebbbbbbf aaaaaaaaaaa ebbbbbb aaaaaaaaaaaa bbbbbbb adgc gaaaa bbbbbbe gaaaa fbbbbbbe gaaaaf ebbbbbbf gaaaaf ebbbbbb caaaaf bbbbbbb caaaaf fbbbbbbe caaaaf fbbbbbbf caaaac ebbbbbbf caaaac ebbbbbb caaaac bbbbbbe faaaac fbbbbbbe faaaac fbbbbbbf faaaag ebbbbbbf faaaag bbbbbbb faaaag bbbbbbe aaaag fbbbbbbe aaaag ebbbbbbf aaaag ebbbbbb aaaad bbbbbbb aaaad bbbbbbe aaaad fbbbbbbe aaaad ebbbbbbf aaaad ebbbbbb aaaad bbbbbbb aaaaa fbbbbbbe aaaaa fbbbbbbf aaaaa ebbbbbbf aaaaa ebbbbbe aaaaa bbbbb aaaaa fbbbf daaaa bbbb daaaa fbbb daaaa bbbe daaaa ebbb daaaa bbbf daaaa bbbb daaaa fbbb gaaaa bbbe gaaaa ebbb gaaaa bbbf gaaaaf bbbb gaaaaf fbbb caaaaf bbbe caaaaf ebbb caaaaf bbbf caaaac bbbb caaaac fbbb caaaac bbbe faaaac ebbb faaaac bbbf faaaag bbbb faaaag fbbb faaaag bbbe aaaag ebbb aaaag bbbf aaaad bbbe aaaad ff aaaad aaaad aaaad aaaad aaaad aaaaa aaaaa aaaaa aaaaa aaaaa aaaaa daaaa daa d ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#0afb9aff b,#f89fb0ff c,#b1d7b1ff d,#fcd6ddff e,#52f1abff f,#ecf7efff g,#93cc98ff ``` ```image bbb bbbbb bbbbbbbf bbbbbb bbd fbbbbbb bbd dbbbbbb bbd bbd dbbbbbb bbd bbbb cgggggcbbbbbcaggggggggbbbgggf dbbbbd gcccbbbbbbgaaaccccccccbbbcccf dbbbbbb gcbbbbbbgaaeaaccccccccbbbcccf bbb dbbb bbbbbbgaecccaaecccccccbbbcccf bbbd bbb bbbbeagcccccaaacccccccbbbcccf bbbd bbb ebeeccccccccaaacccccccbbbcccf bbbb bbb gecccccccccceaacccccccbbbcccf bbbb bbb gcccccccccccgaagccccccbbbcccf dbbb bbbd gccccccccccccaaeccccccbbbcccf dbbb bbb gccccccccccccaaaccccccbbbcccf bbb dbbd gccccccccccccaaaccccccbbbcccf bbbd bbb gcccccccccccceaaccccccbbbcccf bbbd dbbd gcccccccccccccaagcccccbbbcccf bbbb bbb gcccccccccccccaaecccccbbbcccf bbbb fbbb gcccccccccccccaaaccccccbbcccf dbbb bbb gcccccccccccccaaaccccccbbcccf dbbb bbb gccccccccccccceaaccccccbbcccf bbb bbb gccccccccccccccaaecccccbbcccf bbbd bbb gccccccccccccccaaacccccbbcccf bbbd bbbd gccccccccccccccaaacccccbbcccf bbbb bbb gcccccccccccccceaacccccbbcccf bbbb dbbd gccccccccccccccgaacccccbbcccf dbbb bbb gcccccccccccccccaaeccccbbbccf dbbb dbbd gcccccccccccccccaaaccccbbbccf bbb bbb gcccccccccccccccaaaccccbbbccf bbbd fbbb gccccccccccccccceaaccccbbbccf bbbd bbb gcccccccccccccccgaaccccbbbccf bbbb bbb gccccccccccccccccaaecccbbbccf bbbb bbb gccccccccccccccccaaacccbbbccf dbbb cggggggggbbbgggggggg gccccccccccccccccaaacccbbbccf dbbb gccccccccbbbcccccccc gcccccccccccccccceaacccbbbccf bbb gcccccccccbbbccccccc gcccccccccccccccccaagccbbbccf bbbd gcccccccccbbbbcccccc gcccccccccccccccccaaeccbbbccfbbbd gccccccccccbbbcccccc gcccccccccccccccccaaaccbbbccbbbb gcccccccccccbbbccccc gcccccccccccccccccaaaccbbbcbbbb gcccccccccccbbbccccc gccccccccccccccccceaaccbbbbbbb gccccccccccccbbbcccc gccccccccccccccccccaagcbbbbbb gccccccccccccbbbcccc gccccccccccccccccccaaecbbbbbf gcccccccccccccbbbccc gccccccccccccccccccaaaccbbbcf gccccccccccccebbbccc gccccccccccccccccccaaaccbbbcf gcccccccccccaaacaccc gcccccccccccccccccceaaccbcccf gccccccccceaaaagcccc gcccccccccccccccccccaaecccccf gccccccccaaaaecccccc gcccccccccccccccccccaaacccccf gccccccaaaaacccccccc gcccccccccccccccccccaaacccccf gccccgaaaaeccccccccc gccccccccccccccccccceaacccccf gcccaaaaaccccccccccc gcccccccccccccccccccgaacccccf gceaaaaecccccccccccc gccccccccccccccccccccaaeccccf gaaaaacccccccccccccc gccccccccccccccccccccaaaccccf eaaaagccccccccccccccc gccccccccccccccccccccaaaccccf faaaaaccccccccccccccccc gcccccccccccccccccccceaaccccf eaaaaccccccccccccccccccc gccccccccccccccccccccgaagcccf faaaaegccccccccccccccccccc gcccccccccccccccccccccaaeccgf aaaaa gccccccccccccccccccc ffffffffffffffffffffffaaafff caaaac gccccccccccccccccccc aaa aaaaa gccccccccccccccccccc eaa eaaaaf ffffffffffffffffffff faaf faaaae aae eaaaaf aaa faaaae eaa aaaaa caa caaaac aac aaaaa aae eaaaaf aaa faaaae eaa eaaaaf caaf faaaae aac aaaaaf aaa caaaac aaa aaaaa eaa eaaaac faaffaaaae aaaaaaaf aaaaae aaaaf fae ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#0afb9aff b,#fa9eb0ff c,#85fcccff d,#fccdd6ff e,#47f9b1ff f,#c2fde5ff g,#8cc8a6ff ``` ```image dbbbbbbbbbbbgeaf dbbbbd dbbbbbbbbbbbgeaaac dbbbbd dbbbbbbbbbbbgaaaaaae dbbbbd dbbbbbbbbbbbgaaaaaaaaa dbbbbb dbbbbbbbbbbbgaaaaccaaaaa dbbbbb dbbbbbbbbbbbgaaaec aaaaaf dbbbbb dbbbbbbbbbbbgaaaef aaaaac dbbbbb bbbbbbbbbbgaaec eaaaae dbbbbb bbbbbbbbeaaef caaaaa dbbbbb gbbbbbeaac faaaaaf dbbbbb cbbgeaef aaaaaf bbbbb eeacf eaaaac bbbbb cc eaaaae bbbbb caaaaa bbbbb faaaaaf bbbbb aaaaac bbbbbd eaaaac bbbbbd caaaae bbbbbd faaaaa bbbbbd faaaaaf bbbbbd aaaaac bbbbbd eaaaae bbbbbd caaaae dbbbbd faaaaa dbbbbd aaaaaf dbbbbd aaaaac dbbbbd eaaaae dbbbbd caaaaa dbbbbb faaaaa dbbbbb aaaaaf dbbbbb eaaaac dbbbbb eaaaae dbbbbb caaaaa dbbbbb faaaaaf bbbbb aaaaac bbbbb eaaaac bbbbb caaaae bbbbb caaaaa bbbbb faaaaaf bbbbb aaaaac bbbbbd eaaaae bbbbbd caaaae bbbbbd faaaaa bbbbbd faaaaaf bbbbbd aaaaac bbbbbd eaaaae dbbbbd caaaaa dbbbbd faaaaa dbbbbd aaaaaf dbbbbd aaaaac dbbbbd eaaaae dbbbbb caaaaa dbbbbb faaaaaf dbbbbb aaaaaf dbbbbb eaaaac dbbbbb caaaae dbbbbb caaaaa dbbbbb faaaaaf bbbbb aaaaac bbbbb eaaaac bbbbb caaaae bbbbb faaaaa bbbbb faaaaaf bbbbbd aaaaac bbbbbd eaaaae bbbbbd caaaae bbbbbd faaaaa bbbbbd aaaaaf bbbbbd aaaaac bbbbbd eaaaae dbbbbd d caaaaa dbbbbddb faaaaa dbbbbbbb aaaaaf dbbbbbbb eaaaac dbbbbbbb eaaaae dbbbbbbb caaaaa dbbbbbbb faaaaaf dbbbbbbb aaaaac dbbbbbbd eaaaac dbbbbbd caaaae bbbbd caaaaa dbd faaaaaf aaaaac eaaaae caaaae faaaaa aaaaaf aaaaac eaaaae caaaaa faaaaa aaaaaf eaaaac eaaaae caaaaa faaaaaf aaaaaf eaaaac caaaae caaaaa faaaaaf aaaaac ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Okay, let's proceed to the next area. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0afb9aff b,#fa9eb1ff c,#84fdccff d,#faccd6ff e,#42f8aeff f,#c9fde8ff g,#c3b2aaff ``` ```image bbbbbb bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbd cagbbbbb feaaebbbgef caaaaaggeaf faaaaaaaaac eaaaaaaaaef caaaaaaaaac feaaaaaaaaef caaaaaaaaac feaaaaaaaae caaaaaaaaaf faaaaaaaaac eaaaaaaaaef caaaaaaaaac feaaaaaaaaef caaaaaaaaac feaaaaaaaaef caaaaaaaaaf eaaaaaaaac aaaaaaaef aaaaaac aaaaef aaac aef f ``` <!-- end of image --> No intersection in area B, but I'll keep looking. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0afb9aff b,#fa9db0ff c,#8af7cbff d,#fbbecaff e,#4df9b3ff f,#c7fde8ff g,#fde1e6ff ``` ```image dbb bbbbb bbbbbbbg bbbbbb bbg gbbbbbb bbg gbbbbbb bbg bbg gbbbbbd bbd dbbb gbbbbbca bbd dbbbbd dbbbbbcaaa bbd gbbbbbb dbbbbbcaacaa bbd bbb gbbd dbbbbbeae aac bbb bbbg bbb bbbbeaf aaa bbb bbbd bbb cbee aaa bbb bbbd bbb c eaa bbb dbbb bbb faaf bbb dbbb dbbg aac bbb gbbb bbb aaa bbb bbb dbbg aaa dbb bbbg bbb caa dbb bbbd gbbd aaf dbb bbbd bbb aae dbb dbbb gbbd aaa gbb dbbb bbb eaa gbb gbbb bbb caa gbb bbb bbb aac gbb bbbg bbb aae bbg bbbd dbbg aaa bbg bbbd bbb eaa bbg dbbb dbbg faa bbg dbbb bbb aac bbd gbbb gbbd aaa bbd bbb bbb aaa bbd bbbg gbbb eaa bbd bbbd bbb faaf bbb bbbd bbb aac bbb dbbb bbbg aaa bbb dbbb bbb aaa bbb gbbb dbbg caa bbb bbb bbb faaf bbb bbbg dbbd aae bbb bbbd bbb aaa bbb bbbd gbbd aaa dbb dbbb bbb caa dbbdbbb gbbb aaf dbbbbb bbb aae dbbbb bbb aaa gbbbg cbbb eaa gbbd aaaba caa dg eaaaaf aac faaaae aae eaaaa aaa faaaac eaa aaaaa faa caaaac aac aaaaa aaa eaaaaf aaa faaaae eaa eaaaaf faaf faaaae aae aaaaa aaa caaaac aaa aaaaa caa eaaaaf aaf faaaae aae eaaaaf aaa faaaae eaa aaaaa caa caaaac aac aaaaa aae caaaaf aaa aaaae eaa eaaaaf faa faaaae aac aaaaa aaa caaaac aaa aaaaa eaa caaaaf faaf aaaae aaaaaaaf aaaaae aaaa ac ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#c8bd67ff b,#ea10a4ff c,#f2dddaff d,#eb70c3ff e,#b1d6b0ff f,#dcd5a0ff g,#96c896ff ``` ```image fff aaa aaa aaa aaa aaa aaa caaa caaa faaa faaa faaa aaaf aaaf aaaf aaac aaac aaa aaa aaa aaa aaa aaa caaa caaa caaa faaa faaa faaf aaaf aaaf aaac cfaaaf aaac cfaaaaaaaaaaaa aaa cffaaaaaaaaaaaaaaaaaaaf aaa cfaaaaaaaaaaaaaaaaaaaafcaaaaaa aaa cfaaaaaaaaaaaaaaaaaaaaff caaaaac aaa cfaaaaaaaaaaaaaaaaaaaaafc aaaaaa aaa cffaaaaaaaaaaaaaaaaaaaafc faaaaa aaa faaaaaaaaaaaaaaaaaaaafc aaaaaf aaa aaaaaaaaaaaaaaffc faaaaa caaa aaaaaaaafc caaaaac caaa afc aaaaaa faaa caaaaac faaa aaaaaf faaf faaaaa aaaf aaaaaf faaaf faaaaa faaaa caaaaaaaaa eaaaaaaagggggggg geeaaaaeeeeeeeee geeeaaeeeeeeeeee geeeeeeeeeeeeeee geeeeeeeeeeeeeee geeeeeeeeeeddeee geeeeeeeedbbbeee geeeeeebbbbbbdee geeeebbbbbbbdeee geebbbbbbbdeeeee gbbbbbbbdeeeeeee dbbbbbbbdeeeeeeeee dbbbbbbbeeeeeeeeeeee dbbbbbbbbeeeeeeeeeeeeee dbbbbbbbbbbgeeeeeeeeeeeeeee cdbbbbbbbbbbd geeeeeeeeeeeeeee dbbbbbbbbbbbdc geeeeeeeeeeeeeee dbbbbbbbbbbbbc eggggggggggggggg cbbbbbbbbbbbbd cdbbbbbbbbbbbd dbbbbbbbbbbbdc dbbbbbbbbbbbbc cbbbbbbbbbbbbd cdbbbbbbbbbbbdc dbbbbbbbbbbbbc cbbbbbbbbbbbbd cdbbbbbbbbbbbd dbbbbbbbbbbbdc dbbbbbbbbbbbbc cbbbbbbbbbbbbd bbbbbbbbbbbd bbbbbbbdc bbbbd c ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#c8bd67ff b,#ea10a4ff c,#f9dcecff d,#f276caff e,#f7acdfff f,#dcd59eff g,#ef4dbbff ``` ```image caaaaaaaaaaaaaf faaaaaaaaaaf faaaaaaaaf caaaaaaf faaaf c c cdbg cdbbbbc cgbbbbbbd egbbbbbbbbbc egbbbbbbbbbbbd ebbbbbbbbbbbbbbg dbbbbbbbbbbbbbbgc cdbbbbbbbbbbbbbbdc cdbbbbbbbbbbbbbbdc cgbbbbbbbbbbbbbbdc egbbbbbbbbbbbbbbe bbbbbbbbbbbbbge bbbbbbbbbbbge bbbbbbbbbge bbbbbbbgc bbbbbdc bbbdc bd ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c8bd67ff b,#ea0fa4ff c,#ede9ceff d,#f380ceff e,#f8bde5ff f,#dbd49dff g,#ee47b9ff ``` ```image ffc aaa aaa aaa aaa aaa aaa caaa caaa caaa faaa faaa aaaf aaaf aaac aaac aaac aaa aaa aaa aaa aaa aaa caaa caaa caaa faaa faaa faaf aaaf aaaf aaac cfaaaf aaac cfaaaaaaaaaaaa aaa cffaaaaaaaaaaaaaaaaaaaf aaa cfaaaaaaaaaaaaaaaaaaaafcaaaaaa aaa cfaaaaaaaaaaaaaaaaaaaafc caaaaac aaa cfaaaaaaaaaaaaaaaaaaaaafc aaaaaa aaa ccfaaaaaaaaaaaaaaaaaaaafc faaaaa aaa faaaaaaaaaaaaaaaaaaaafc aaaaaf aaa aaaaaaaaaaaaaafcc faaaaa caaa aaaaaaaafc caaaaac caaa afc aaaaaa faaa caaaaac faaa aaaaaf faaf faaaaa aaaf aaaaaf faaaf faaaaa faaaa caaaaaaaaa aaaaaaa caaaa aa dg gbbb gbbbbbd bbbbbbbg ebbbbbbbd ebbbbbbbd ebbbbbbbe dbbbbbbbe dbbbbbbbb ebbbbbbbbbg egbbbbbbbbbbg dbbbbbbbbbbbge dbbbbbbbbbbbge egbbbbbbbbbbbd egbbbbbbbbbbbd dbbbbbbbbbbbge dbbbbbbbbbbbbe egbbbbbbbbbbbd gbbbbbbbbbbbg dbbbbbbbbbbbge ebbbbbbbbbbbbd egbbbbbbbbbbbd dbbbbbbbbbbbge dbbbbbbbbbbbge egbbbbbbbbbbbd bbbbbbbbbbbd bbbbbbbge bbbbe e ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#1403acff b,#80fa3dff c,#8d8ad1ff d,#d8f1d2ff e,#4d41beff f,#a0f772ff g,#add6abff ``` ```image dbb bbb dbb bbb dbb bbb dbbd bbb bbd bbb bf bbd bbbd bbb bbbd bbd bbbd bbb bbb bbd bbb fbb bbb bbg bbb fbb dbbb bbf dbbb fbb dbbb bbf gbbb fbb fbbf bbf fbbf fbb fbbf bbf bbbg gbb bbbd bbf bbbd dbb bbbd bbb bbb dbb bbb bbb bbb dbb bbb bbb dbbb dbb dbbb bbb dbbb dbbd gbbb bbb fbbf bbd fbbf bbb fbbf bbd bbbg bbb bbbd bbd bbbd bbb bbbd bbg bbb fbb bbb bbg bbb fbb bbb ggggggggggggggbbf dbbb gggggggggggggfbb dbbb gggggggggggggbbb cac dbbb ggggggggggggfbbg caaaa gbbb ggggggggggggbbfg caaaae fbbf gggggggggggfbbgg caaaae c fbbfgggggggggggbbbgg eaaaae eaa fbbfgggggggggfbbggg eaaaae daae bbbfggggggggbbbggg eaaaae eaac bbbfggggggfbbgggg eaaaae aaa bbbggggggbbbgggg eaaaae aaa gbbbggggfbbggggg eaaaac aaa ggbbbgggbbbgggggeaaaac caae gggbbbggbbggggaaaaac eaac ggggbbbbbbggaaaaac aaa gggggbbbbgaaaaae aaa ggggggbbaaaaacgg daaa ggggggaaaaacgggg caac ggggaaaaacgggggg eaad ggaaaaacgggggggg aaa daaaaacgggggggggg aaa daaaaad daae daaaaad eaac caaaaad aaa caaaaad aaa caaaaa aaa caaaaa caae caaaaa eaac caaaaa aaa caaaae aaa caaaae daaaaaae caaae ce ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#1504acff b,#80fa3dff c,#a7a1dfff d,#e1f3ddff e,#5856b8ff f,#9ffb6cff g,#c4fca5ff ``` ```image fb dbb fbb dbbb fbbb dbbbb fbbbb dbbbbb gbbbbf bbbbbd gbbbbf bbbbbd f gbbbbf bf bbbbbd bbf gbbbbf bbbg bbbbbg bbbbg gbbbbf bbbbbg bbbbbg bbbbbbg gbbbbb dbbbbbbd bbbbbg gbbbbbbd gbbbbb gbbbbbbd fbbbbg gbbbbbbd gbbbbb gbbbbbbd fbbbbg gbbbbbf dbbbbb fbbbbbf fbbbbg fbbbbbf dbbbbb ca fbbbbbf fbbbbg caaa fbbbbbfbbbbb caaaaa fbbbbbbbbbg caaaaaaa dbbbbbbbbbdcaaaaaaaaa dbbbbbbbeaaaaaaaaaac dbbbbeaaaaaaaaaac dbeaaaaaaaaaac deaaaaaaaaaac deaaaaaaaaaec deaaaaaaaaaec deaaaaaaaaaec deaaaaaaaaaec deaaaaaaaaaec deaaaaaaaaaec ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#1403acff b,#81fa3eff c,#8b83d6ff d,#dbfdc8ff e,#4c3fc0ff f,#affb84ff g,#c9c5ebff ``` ```image dbb bbb dbb bbb dbb bbb dbbd bbb bbd bbb bf bbd bbbd bbb bbbd bbd bbbd bbb bbb bbd bbb bbb bbb bbf bbb fbb dbbb bbf dbbb fbb dbbb bbf fbbb fbb fbbb bbf fbbf fbb bbbf bbf bbbf fbb bbbd bbb bbbd dbb bbbd bbb bbb dbb bbb bbb bbb dbb bbb bbb dbbb dbb dbbb bbb dbbb dbbd fbbb bbb fbbb bbd fbbf bbb bbbf bbd bbbf bbb bbbd bbd bbbd bbb bbbd bbd bbb bbb bbb bbf bbb fbb bbb bbf dbbb fbb dbbb bbf cac dbbb fbb caaaa fbbb bbf caaaae fbbb fbb caaaae c fbbf bbf eaaaae eaa bbbf fbb eaaaae gaae bbbf bbb eaaaae eaac bbbd dbb eaaaae aaa bbbd bbb eaaaae aaa bbbd dbb eaaaac aaa bbb bbb eaaaac caae bbb dbb aaaaac eaag bbbbbb aaaaac aaa bbbbdaaaaac aaa dbbaaaaac gaaa aaaaac caac gaaaaag eaag gaaaaag aaa gaaaaag aaa gaaaaag gaae gaaaaag eaac gaaaaag aaa gaaaaag aaa caaaaa aaa caaaaa gaae caaaaa eaag caaaaa aaa caaaae aaa caaaae gaaaaaae caaae ce ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#dea00aff b,#cdefeaff c,#f0d493ff d,#eff6efff e,#d5b74cff f,#a6d0a2ff g,#b2d8b2ff ``` ```image dfggggggggggggggggg dfggggggggggggggggg dfggggggggggggggggg dccd dfggggggggggggggggg caaaaaaaaaaaeeefggggggggggggg eac ddceaaaaaaaaaaaaeegggg aad dfggggggffeeaaagggg daa dfggggggggggggggggg cae dfggggggggggggggggg eac dfggggggggggggggggg aad dfggggggggggggggggg daa dfggggggggggggggggg cae dfggggggggggggggggg aac dfggggggggggggggggg aad dfggggggggggggggggg daa dfggggggggggggggggg eae dfggggggggggggbgggg aad dfggggggggggggbgggg ddddddddddddddddddddd aa dfgggggggggggbbgggg dfffffffffffffffffffffd caa dfffffffffffgbfffff dfgggggggggggggggggggfd eac dddddddddddbbddddd dfgggggggggggggggggggfd aad bb dfgggggggggggggggggggfdaa bd dfgggggggggggggggggggeae bb dfggggggggggggggggggeac b dfgggggggggggggggggaafd bb dfgggggggggggggggfaagfd db dfggggggggggggggeaeggfd bb bd dfgggggggggggggaaegggfd bbbbbd bb dfggggggggggggaafggggfd dbbbd bb bd dfggggggggggfaaggggggfd dbbbd db bb dfgggggggggeaegggggggfd dbbbd b b dfggggggggaafggggggggfd dbbbb b bb dfgggggggaaggggggggggfd dbbbb bd db dfgggggfaagggggggggggfd dbbbb bb bd dfggggeaeggggggggggggfd bbbb db bb dfgggaafgggggggggggggfd bbbbd b bd dfggaagggggggggggggggfbbbbd bd bb dffaaggggggggggggggbbbbd bb b deaeggggggggggggbbbbgfd dbbb aafgggggggggggbbbbgggfd bb daafgggggggggbbbbggggggfd bd caedfggggggggbbgggggggggfd eac dfgggggggbbggggggggggfd aad dfgggggggbgggggggggggfd aa dfggggggbbgggggggggggfd aa dffffffgbfffffffffffffd ca bb ac db aa bb ea db ad bb b bb b bb b bb b bb b bb b bb b bb b bb b bb b bb b bb bd bb bd bb bd bb bd db bd ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#df9f08ff b,#cfefecff c,#efd28dff d,#f6e6c0ff e,#e3ae2eff f,#f3f7efff g,#e9bf5bff ``` ```image g fea deaa caaae gaaag feaaac daaaed caaaef fgaaag feaaac daaaed caaagf fgaaac deaaad daaaed caaagf fgaaac deaaad caaaef gaaagf feaaac deaaad caaaef gaaag feaaac daaaed caaaef fgaaag feaaac fb daaaed fbbbb caaagf fbbbbbbb fgaaac ffbbbbbbbf eaaad ffbbbbbbbf aaed fbbbbbbbff agf fbbbbbbbbf c fbbbbbbbbf bbbbbbbf fbbbbf bbb fbbb bbb fbbb bbb fbbb bbb ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Okay, on to the next area of interest. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#df9f07ff b,#d2f0edff c,#eecf84ff d,#f9f0d9ff e,#e3ad2dff f,#f4e0b0ff g,#e8bd55ff ``` ```image aeeggccffd aaaaaaaaaaaaeeggccfdd geeaaaaaaaaaaaaaaaaaaaaeggccf dffccggeeaaaaaaaaaaaaaaad ddffccggeaaaaa ddf b bbb bbb bbbb bbb bbb bbb ``` <!-- end of image --> It's a shame, but area B doesn't contain an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#df9f08ff b,#ceefebff c,#f0d491ff d,#f7e9c8ff e,#e4af31ff f,#eaf7f3ff g,#e9c05dff ``` ```image fgcd caaaaaaaaaaegccd eac dcgeaaaaaaaaaaegc aad fdcgeaa faa cae eac aaf daa cag ead aa daa gag f aad b aa bb dae fb gag bf aad fb faa bf cae bb eac b aad bb faa fb cae bb bf eac bbbbbf bb aaf fbbbf bb bf daa fbbbf fb bb cag fbbbf b b ead fbbbf b bb aa fbbbb bf fb daa fbbbb fb bf gag bbbb fb bb aad bbbbf b bf aa bbbbf bf bb dae fbbbf bb b gac fbbbf fbbb aad fbbbf bb faa fbbbf bf cae fbb eac bf aaf fb aa bf aa fb ca bb ac fb aa bb ga fb ad bb b bb b bb b bb b bb b bb b bb b bb b bb b bb b bb b bb bf bb bf bb bf fb bf fb bf ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#abf5a3ff b,#936bc5ff c,#85f279ff d,#d5c5e8ff e,#cdf9c8ff f,#baa1daff g,#ecf3efff ``` ```image g cc cca ecgc ce ca c c ac ac cg c gc ac aa cg c ec ec ce ce ec c ce ec gc ce ca c c aa e cg cca gc gccccg ca accce c ecccag ec gaccce ce accce c ecccag ac gaccce cg accca gc ecccag ca gaccce c eccca ec ecccag ce gaccce c eccca ac gcccce cg acccegc ecca bb fbfbg gb dbg bd dbd bb gbd fb gbd gb bf bd bf bb bb fb bb gb bb bd bb bb bb bbfg fb bb bdfbbbbd gb fb fb gfbbbbfd bd fb bd dfbbbbd bb dbg b dbbbbfd fb dbg b dfbbbbfg gb dbd fb dbbbbfd bd gbd bd gfbbbbf bb gbf b db fb bf b gb bbb bd bd ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#403c56ff b,#c9dee3ff c,#898c96ff d,#ecf4f1ff e,#a3cba4ff f,#646774ff g,#b2d7b2ff ``` ```image f baab caaac fa aaa aa caa aa baab af aac ac aaa dab caa d ga baab cae ca aac aaa fa aaa eaae aa caa aaa aa baab baac af aac faad ac aaa daaf dab caa caab ga baab ddddddddddddddddddddddddddddddddddddaaa ca aac eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaaced fa aaaeggggggggggggggggggggggggggggggggaaagged aa caaggggggggggggggggggggggggggggggeaafggged aa baaegggggggggggggggggggggggggggfaaegggged ac eaafggggggggggggggggggggggggeaafgggggged ae egaaaggggggggggggggggggggggfaaeggggggged bab eggfaaggggggggggggggggggggaaaggggggggged ea egggeaaeggggggggggggggggcaacgggggggggged ca egggbgaafggggggggggggggaaagggggggbbggged aa eggbbbgaaagggggggggggeaafggggggggbbbgged aa eggbbbggfaagggggggggfaaegggggggggbbbbged af egbbgbgggeaaegggggeaafgggggggggggbggbbed ac ebbggbbggggaafgggfaaeggggggggggggbgggbbd ag bbggggbgggggaaagaaaggggggggggggggbggggbb bad dbbggggbbgggggfaaacgggggggggggggggbggggebb ea bbeeeeegbgeeeeecaeeeeeeeeeeeeeeeebbeeeeedbb fa bbdddddddbbdddddddddddddddddddddddbbddddd bb aa bbd db bb bb aa dbb bb bb bb af bb bb bb bb ac bb bb bb bb ag bbd bb bd bb bad dbb bb bd bb ca bb bb db bd fa bb bd db aa dbd bb db aa bb dbd bb af bb bb bb ac bb dbd bb d dbd bb bb bb db bb bb bb bd bb db bd dbd bb bd bb bb db bb bb db bbd bb bb dbb bb bb bb bb bb bb bd bb bbd bb bb dbb dbd bb bb bb bd bb dbd bd bbd bb db dbb db db bb bb db bb db bb bbd bb bb dbb bb bb bb bb bb bb bb bb bbd bb bd dbb bb bd bb bd bd bb bb db bd dbddb bbdb dbbb bbb dbb bb ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#3f3a55ff b,#cadde3ff c,#8e8b9bff d,#e4eaeeff e,#b4b2bcff f,#6b677cff g,#514d65ff ``` ```image caaaag dfaaaafd eaaaaae dfaaaafd b egaaaac ae caaaagb aac bgaaaac aaafd caaaage gaaagb dfaaaafd dfaaaae eaaaaae caaaac dfaaaafd eaaaafd egaaaac bgaaagb caaaagb dfaaaae bgaaaac caaaac caaaage eaaaafd dfaaaafd bgaaagb eaaaaae dfaaaae dfaaaafd bbd d caaaac egaaaac dbbbb bbb eaaaafd caaaagb dbbbbb bbbbd bgaaagb bgaaaac dbbbbbb dbbbbb dfaaaae caaaage dbbbbbbb dbbbbbbd caaaac dfaaaafd bbbdbbbbb bbbbdbbb eaaaafd eaaaaae bbbd bbbbb bbbb bbbd bgaaagb dfaaaafd bbbd bbbbb dbbbd dbbb dfaaaae egaaaac bbbd bbbbb dbbbd dbbbd caaaac caaaagb bbb bbbb bbbb bbbb eaaaafd bgaaaac bbb bbb bbbbd dbbbd bgaaagb caaaage dbbb bb dbbbd bbbb dfaaaagaaaafd dbbb b bbbb dbbb caaaaaaae dbbb bbb bbbd eaaaafd dbbd bbd dbbb bggc dbbd ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3f3a55ff b,#cadde3ff c,#8a8697ff d,#e6eff1ff e,#afadb8ff f,#666278ff g,#4f4a63ff ``` ```image f baab caaac fa gag aa caa aa baab af aac ac gag dab caa d ea baab cae ca aac aag fa gag eaae aa caa gaa aa baab baac af aac faad ae gag daaf dab caa caab ea baab aag ca aac eaae ga gag gaa aa caa baac ag baab faad ac aac daaf ae gag caab bab caa aag ea baab eaae ca d aac gaa bb ga bbd gag baac bbb aa dbbb caa faad bdbb ag bb bd baab daaf bd bb ac bb bb aac caab b bb ae bbd dbd gag aag db bb bad dbb bb caaae db bb ea bb db bg db bb fa bb bb bb bb aa bbd db bb bb aa dbb bb bb bb af bb bb bb bb ac bb bb bd bb ae bbd bb bd bb bad dbb bd bd bb ca bb bb b bd fa bb bd db aa dbd bb db aa bb bd bb af bb bb bb ac bb dbd bb d dbd bb bb bb db bb bb bb bd bb db bd dbd bb bd bb bb db bb bb db bb bb db dbd bd bb bb bb bb bb bd bb bbd bb bb dbb dbd bd bb bb bd bb dbd bd bbd bb b dbb db db bb bb db bb db bb bbd bb bb dbb bb bb bb bb bb bb bb bb dbd bd bd bb bb bd bb bd bd bb bb db bd dbddb bbdb dbbb bbb dbb bb ``` <!-- end of image -->
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No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#74b497ff b,#7d4a99ff c,#c3abd0ff d,#4c9f78ff e,#9f79b4ff f,#bad9cbff g,#e1dfe7ff ``` ```image g bebbbbbbbeccg g cg gcceebbbbbbeeccg eb b gccebbbbbbbc gbg b gbbc be gc cbbc cbg b cbbc be b cbbc eb e cbbg gbc eg cbbg eb b ebbg gbg b ebegbe cc eg b b ge e g fg adad gddg d fda fa adf af fdd d adf d gddg fa fda af adf d fda d adf fa gddg af f d d fa af d d fa af d d fa af d d fa af d d fa af d d fa aaffg gffaadddddddaaffg ggffaaddf a d d d a ff a d d d ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#a6846dff b,#a5bf73ff c,#dcd8c8ff d,#c2ad9dff e,#eff0e9ff f,#a7cd9bff g,#b3d7b1ff ``` ```image ecdc ecdaaaaaaaaae ccdaaaaaaaaaaaaaaaaad ecddaaaaaaaaaaaaaaaaaaaaaaaaaa ecdaaaaaaaaaaaaaaaaaaaaaaaaaadce daaa ecdaaaaaaaaaaaaaaaaaaaaaaaaaddce caaa cddaaaaaaaaaaaaaaaaaaaaaaaaaddc eaaa daaaaaaaaaaaaaaaaaaaaaaaadce aaa aaaaaaaaaaaaaaaaadce aaae daaaaaaaaddc aaac aaad aaad daaa aaaa aaaa daaa caaae caaa aaaa eaaa aaac aaa aaaa aaae aaad aaac daaa aaad aaaa daaa caaa daaa aaaa caaa eaaac aaa aaaa aaa aaad aaac daaa aaad aaad aaad caaa daaa aaaa caaa eaaae eaaa aaaa aaa aaac aaae daaa aaac aaad aaad daaa aaaa aaaa daaa aaac caaa aaa eaaa eaaa aaa daaa aaae aaaa aaac aaad aaad aaae aaaa aaa daaa caaa caaa daaa eaaa aaad aaa aaac aaae aaa aaac eaaa daaa aaaa aaad aaac aaa caaa daaa ffffaaaaffff ggggaaadgggfe ggggaaaggggfe ggggaaaggggfe gggdaaaggggfe gggaaaaggggfe gggaaaaggggfe e gggaaafggggfe cbbbbb gggaaagggggfe cbbbbbbbbbbf ggfaaagggggfe efbbbbbbbbbbbbbbbc ggdaaagggggfe egbbbbbbbbbbbbc gbbbbbbe ggaaaagggggfe gbbbbbbbbbbbbc fbbbbbb ggaaadgggggfe cbbbbbbbbbbbbge bbbbbbb ggaaafgggggfe cfbbbbbbbbbbbfe ebbbbbbg ggaaaggggggfe efbbbbbbbbbbbbc cbbbbbbc gggggggggggfe egbbbbbbbbbbbbc fbbbbbbe gggggggggggfe cbbbbbbbbbbbbg bbbbbbb gggggggggggfe cbbbbbbbbbbbbfe ebbbbbbf gggggggggggfe efbbbbbbbbbbbfc cbbbbbbg gggggggggggfgbbbbbbbbbbbbc gbbbbbbc ggggggggfbbbbbbbbbbbbg fbbbbg ggggfbbbbbbbbbbbbge bbb ggbbbbbbbbbbbfe ec ggbbbbbbbbffe ffbbbbbfffff ce ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#a6846dff b,#a5bf73ff c,#dcd9c8ff d,#cab7aaff e,#efede6ff f,#b69b89ff g,#c2d3a0ff ``` ```image faaaaaa aaaaaaf eaaaaaad caaaaaad daaaaaac faaaaaae aaaaaaa eaaaaaaf caaaaaad caaaaaac daaaaaae faaaaaa aaaaaaf eaaaaaaf caaaaaad daaaaaac daaaaaae faaaaaa aaaaaaf eaaaaaad caaaaaac daaaaaac faaaaaae aaaaaaa eaaaaaaf caaaaaad daaaaaac daaaaaae faaaaaa dfaaaaf ecdd cgb ecgbbbb ecgbbbbbbbb ecgbbbbbbbbbbbb cgbbbbbbbbbbbbbbbb ebbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbgce cbbbbbbbbbbbgce ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#a6846dff b,#a5bf73ff c,#dcd8c7ff d,#c9b5a7ff e,#eeede5ff f,#b69a87ff g,#c2d3a0ff ``` ```image ecdc ecdaaaaaaaaae edfaaaaaaaaaaaaaaaaad ecdfaaaaaaaaaaaaaaaaaaaaaaaaaf ecdfaaaaaaaaaaaaaaaaaaaaaaaafdce daaa ecdaaaaaaaaaaaaaaaaaaaaaaaaafdce caaa cdfaaaaaaaaaaaaaaaaaaaaaaaaafdc eaaa daaaaaaaaaaaaaaaaaaaaaaaadce aaa aaaaaaaaaaaaaaaafdce aaae faaaaaaaafdc aaac aaad aaad daaa faaa aaaa daaa caaae caaa aaaa eaaa aaac aaa faaa aaae aaad aaad daaa aaaf aaaf faaa caaa daaa aaaa caaa eaaae aaa aaaa aaa aaad aaac daaa aaad aaaf aaaf caaa faaa aaaa daaa eaaae eaaa aaaa aaa aaac aaae faaa aaac aaaf aaad daaa aaaf aaaa daaa aaac caaa aaa eaaa eaaa aaa daaa aaae aaaa aaac aaad aaad aaae faaa aaa daaa caaa caaa faaa eaaa aaaf aaa aaac aaae aaa aafc eaaa daaa faaa aaad aaac aaa caaa daaa aaaf aaad aaae eaaa caaa faaa aaad e aaac gbbbbb aaa cbbbbbbbbbbg eaaa egbbbbbbbbbbbbbbbc daaa egbbbbbbbbbbbbc gbbbbbbe aaaa gbbbbbbbbbbbbc bbbbbbb aaad cbbbbbbbbbbbbge bbbbbbb aaae cbbbbbbbbbbbbge ebbbbbbg faa egbbbbbbbbbbbbc cbbbbbbc gbbbbbbbbbbbbc gbbbbbbe cbbbbbbbbbbbbg bbbbbbb cbbbbbbbbbbbbge ebbbbbbg egbbbbbbbbbbbbe cbbbbbbg egbbbbbbbbbbbbc gbbbbbbe cbbbbbbbbbbbbg gbbbbg cbbbbbbbbbbbbge bbb ebbbbbbbbbbbge ee bbbbbbbbc bbbbc ce ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ee8c66ff b,#8a6fe7ff c,#f6cab9ff d,#d1c7f5ff e,#ab99edff f,#f1a68aff g,#f5e9ecff ``` ```image c aa aaac af ca af a gac ag gac cf cag a cag a fa ff fa ga aa a aa ac af ca af a gac ag gac ff cag ga cag a fa ac fa ca aa a aa ag af cf af a gac a gac ff cag ga cag a fa g fa aa aa af af gac gac cag cag fa ca a ff ga b ac dbe ca bb ag dbe ff bbg a gbb ac debbg ebd ca gebbbe dbg gbb ag dbbbeg dbg ebd fa dbbbbd dbg bb a gebbbd dbgdbe af ebbbeg gbb cfaa dbbbed gfaaaacg debbbd caaaafc dbbe gfaaaac bg aaafg eb b be db bd eb b be dbb gbbg bbd ebe dbb gbbg bbd ebe dbb gbbg bbd ebe bb ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#571015ff b,#e6ee02ff c,#9d7979ff d,#e7f067ff e,#794245ff f,#f1eec9ff g,#afd4adff ``` ```image ac caaaf aaaaaa faaaaae caaaaaf aaaaaa faaaaac caaaaaf aaaaaa gaaaaac gggeaaaaaggggggg ggaaaaaagggggggg caaaaacggggggggg eaaaaaggggggggggg aaaaaagggggggggggg gaaaaacggggggggggggg eaaaaaggggbbbdggggggg aaaaaeggggdbbbbbdggggg gaaaaag ggggbbbbbbbbbggg eaaaaa ggggbbbbbbbbbbbg aaaaae ggggbbbgdbbbbbbbbf caaaaag gggbbbbggggbbbbbbbbd eaaaaa gggbbbbggggggbbbbbbd faaaaae gggbbbgggggggggdbbb caaaaag ggdbbbgggggggggg fd aaaaaa ggbbbbgggggggggg faaaaac ggbbbdgggggggggg cag caaaaaf gdbbbggggggggggg aaaaaf aaaaaa gbbbbggggggggggg aaaaaaaef faaaaac gbbbdggggggggggg caaaaaaaaaef caaaaaf dbbbgggggggggggg eaaaaaaaaae aaaaaa bbbbgggggggggggg feaaaaaaaaae faaaaac bbbd feaaaaaaaaac eaaaaaf fbbb feaaaaaaaaac aaaaaa dbbb gaaaaaaaaaac gaaaaac bbbb gaaaaaaaaaac eaaaaa bbbf gaaaaaaaaaaaaaae dbbb caaaaaaaaaag bbbb caaaaaa bbbd cae dbbb bbbb bbbd fbbb bbbb bbbd fbbbf dbbb bbbb bbbf dbbb bbbb bbbd dbbb bbbb bbbd fbbb bbbb bbbd fbbbf dbbb bbbb f bbbf bbbbbbdf dbbb bbbbbbbbbbbbddf bbbb bbbbbbbbbbbbbbbbbbbdf bbbd fdbbbbbbbbbbbbbbbbbbbbbbdf dbbb fdbbbbbbbbbbbbbbbbbbbbbdd bbbb fddbbbbbbbbbbbbbbbbbbbbbdf bbbd fdbbbbbbbbbbbbbbbbbbbbbbdf fbbb fdbbbbbbbbbbbbbbbbbbbdbbbb fdbbbbbbbbbbbbbbbbbd fdbbbbbbbbbbf fbbbbbb bbbbbb bbbbbf bbbbb bbbbb bbbbd bbbb bbbb fbbf ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#571116ff b,#e7ef02ff c,#ae8d8fff d,#eff45bff e,#814c4fff f,#f7f9b4ff g,#d8c8c9ff ``` ```image geaaaaaaaaaac caaaaaaaaaaag eaaaaaaaaaaeg gaaaaaaaaaaac caaaaaaaaaaag eaaaaaaaaaae gaaaaaaaaaaac caaaaaaaaaaag aaaaaaaaaae aaaaaaaaac aaaaaaaag aaaaaae aaaaac aaaeg fdddf aae fbbbbbdf ac bbbbbbbbbf g fbbbbbbbbbbbd dbbbbbbbbbbbbbdf bbbbbbbbbbbbbbbbdf fbbbbbbbbbbbbbbbbbbbf dbbbbbbbbbbbbbbbbbbbbbd bbbbbbbdbbbbbbbbbbbbbbb fbbbbbbb fdbbbbbbbbbbbb fbbbbbbd fdbbbbbbbbbb dbbbbbbd dbbbbbbbb bbbbbbbf fbbbbbb fbbbbbbb fdbbb dbbbbbbd fdb bbbbbbbf fbbbbbbb dbbbbbbd bbbbbbbf fbbbbbbb dbbbbbbd bbbbbbbf fbbbbbbb fbbbbbbd dbbbbbbd bbbbbbbf fbbbbbbb dbbbbbbd bbbbbbbf fbbbbbbb dbbbbbbd bbbbbbbf ``` <!-- end of image --> I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#571116ff b,#e7ef02ff c,#ac8a8cff d,#eef459ff e,#834f52ff f,#f6f9aaff g,#ddcfd0ff ``` ```image ae caaag aaaaaa gaaaaae caaaaag aaaaaa gaaaaae eaaaaag aaaaaa gaaaaac eaaaaag aaaaaa gaaaaac eaaaaa aaaaaa gaaaaac eaaaaa bbbf aaaaae fbbbbbd caaaaac bbbbbbbbd eaaaaa bbbbbbbbbbb aaaaae bbb fbbbbbbbbf caaaaag dbbb bbbbbbbbd aaaaaa bbbb dbbbbbd aaaaae bbbf dbbb caaaaag dbbb fd aaaaaa bbbb gaaaaae bbbf eag caaaaag fbbb aaaaag aaaaaa bbbb aaaaaaaeg gaaaaac bbbd eaaaaaaaaaeg eaaaaag fbbb eaaaaaaaaae aaaaaa bbbb geaaaaaaaaae gaaaaac bbbd geaaaaaaaaae eaaaaag bbb gaaaaaaaaaac aaaaaa dbbb gaaaaaaaaaac gaaaaac bbbb gaaaaaaaaaac eaaaaa bbbf caaaaaaaaaaaaaae dbbb caaaaaaaaaac bbbb caaaaaa bbbf cae fbbb bbbb bbbd fbbb bbbb bbbd bbb dbbb bbbb bbbf dbbb bbbb bbbf fbbb bbbb bbbd fbbb bbbb bbbd bbb dbbb bbbb f bbbf bbbbbbdf dbbb bbbbbbbbbbbbdf bbbb bbbbbbbbbbbbbbbbbbbdf bbbf fdbbbbbbbbbbbbbbbbbbbbbbdf fbbb fdbbbbbbbbbbbbbbbbbbbbbdf bbbb ffdbbbbbbbbbbbbbbbbbbbbbdf bbbd fdbbbbbbbbbbbbbbbbbbbbbddf fbbb fdbbbbbbbbbbbbbbbbbbbfbbbb fddbbbbbbbbbbbbbbbbd fdbbbbbbbbbb bbbbbb bbbbbb bbbbbf bbbbb bbbbb bbbbf bbbb bbbb fbbf ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#dcc325ff b,#75d0ccff c,#f1e8afff d,#b1d8b3ff e,#e4d56aff f,#24b8b8ff g,#95ca96ff ``` ```image aae c aaaa eaae eaaaae aaaaaa aaaaaa aaaaaaa aaaeaaac eaaaaaac aaaa caaa eaaaaaae eaaa aaa caaaaaae aaac caaa caaaaaa aaae aaa aaaac aaaa eaae caac eaaa aaa caae aaac aaac aae aaae aaa aaa aaaa aaa aaa eaaa eaae aaa aaac aaa aaa aaae aaac aaa aaaa caaa aaa caaa aaa aaa aaac eaae eaac aaaa aaa caac aaaa aaac caae caaa caaa aae aaac aaa aaa aaaa eaae aaa aaaa aaa aaa caaa aaac aaa aaac caaa aaa aaaa aaa aaa aaaa eaae eaa caaa aaa eaac aaac aaac caac aaaa caaa caae aaaa aaa aaa caaa eaae aaa aaac aaa aaa aaaa aaa aaa aaaa caaa aaa caaa aaa aaa aaac aaac aaa aaaa aaa eaa eaaa aaa eaac caaa caaa caae aaae aaa caae aaaa aaac aaa eaaa caaa aaa caaa gddddddddddaaagddddd aaa aaae gddddddddddeaaaddddd aaa aaaa gdddddddddddaaaddddd aaa eaaa gdddddddddddaaaedddd aaacaaa gddddddddddddaaadddd aaaaaae gddddddddddddaaadddd eaaaaa gddddddddddddeaaaddd eaaaa gdddddddddddddaaaddd caaa gddddddddddddfaaaedd aae gdddddddddbffffgfbdd c gdddddddbfffffffdddd gdddddfffffffbdddddd gddbfffffffgdddddddd gbfffffffddddddddddd fffffffbddddddddddddd dfffffffgddddddddddddddd bfffffffdddddddddddddddddd fffffffbgddddddddddddddddddd fffffffd gddddddddddddddddddd bfffffff gddddddddddddddddddd bffffffb gddddddddddddddddddd fffffffd dggggggggggggggggggg f bfffffff ffffb bffffffb ffffffb fffffffd dfffffff bfffffff fffffffd bffffffb bffffffb fffffffd bfffffff dfffffff fffffffd bffffffb fffffffb fffffffb bffffffb dfffffff dfffffffffffb fffffffb bff ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#dbc325ff b,#62cbc8ff c,#eae197ff d,#a0e0e0ff e,#cecb56ff f,#23b8b7ff g,#e2f3ebff ``` ```image eaaaaac caaaaaa aaaaaac caaaaae gaaaaaag eaaaaac caaaaaa aaaaaac caaaaae gaaaaaag eaaaaac caaaaaa aaaaaac caaaaae gaaaaaag eaaaaac caaaaaa gdffaaaaaac gbffffeaaaeb dbfffffffaefffd gdffffffffffffffd gbfffffffffffffbd dbfffffffffffffbg gdffffffffffffffdg gbfffffffffffffbd dbfffffffffffffbg dffffffffffffffdg gbfffffffffffffbd bfffffffffffffbg ffffffffffffdg fffffffffbd fffffffbg fffffdg ffbd bg ``` <!-- 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
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#dcc324ff b,#64cdcdff c,#ece090ff d,#afe5e5ff e,#e0ce50ff f,#23b8b8ff g,#f6f0cbff ``` ```image g aae c aaaa eaac caaaac aaaaae gaaaaaa gaaaaaaag aaaeaaag eaaaaaac aaaa gaaa caaaaaac caaa aaa caaaaaae gaaag caaa gaaaaaa aaae aaa eaaag aaaa eaae caac caaa aaa gaac gaaag aaac gaae aaae gaaa aaa aaaa aaa aaa caaa caae aaa aaag aaa aaa aaae aaag aaa aaaa gaaa aaa caaa aaa eaa aaac caae eaag aaae aaa caac eaaa aaag gaac caaa gaaa aae aaac aaa aaa aaae eaae aaa eaaa aaa aaa caaa aaag aaa aaac gaaa aaa aaae aaa aaa eaaa eaac eaag caaa aaa caag aaac aaag caac aaae caaa gaae eaaa aaa aae caaa eaac aaa aaac aaa aaa aaaa aaag aaa eaaa caaa aaa caaa aaa aaa aaac eaac aaa aaaa aaa eaag eaaa aaa caag gaaa caae caac aaac aaa gaae aaaa eaac aaa eaaa gaaa aaa gaaag aaa aaa aaac caae aaa aaaa aaa aaa eaaa aaac aaagaaag gaaa aaaaaac aaa eaaaaa caae caaaa aaa gaaag faaag aac dffffefd g bffffffb fffffffd dfffffffd bffffffb fffffffd dfffffffd bffffffb bffffffb dfffffffd dfffffff bffffffb dfffffffd fd dfffffff ffffd bffffffb ffffffb fffffffd dfffffff dfffffff fffffffd bffffffb bffffffb fffffffd dfffffff dfffffff dfffffffd bffffffb bffffffd fffffffd bffffffb dfffffff dfffffffffffb fffffffd bffd ``` <!-- end of image -->
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Let's examine this image for potential line intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f7c40ff b,#49b3a3ff c,#afd6b3ff d,#a2bf98ff e,#d8e7dfff f,#7e9665ff g,#7bc6b7ff ``` ```image cfa aaae aaac aaaf aaaa daaa caaa eaaa eaaa aaa daaaa aaac faaaaa aaaac aaaaaaae faaaaf eaaaaaaaad daaaaa daaaaa aaaf eaaaaa faaaaf faaa aaaaac aaaaad daaa aaaaaf eaaaaae eaaa daaaaa daaaaa aaa eaaaaa faaaaf aaae aaaaac aaaaad aaad aaaaaf eaaaaae aaaf daaaaa daaaaa faaa eaaaaae faaaaf daaa aaaaac aaaaad eaaa faaaaf eaaaaae aaa daaaaa daaaaa aaae eaaaaae faaaaf aaad aaaaac aaaaad aaaf faaaaf eaaaaae faaa daaaaa daaaaa daaa eaaaaae faaaaf eaaa aaaaad aaaaad aaa dcaaaaaadaaaaadd aaae dccfaaaaaaaaaccc aaad dcccdaaaaaaacccc aaaf dcccccaaaafccccc faaa dccccccfadcccccc daaa dcccccccgbbccccc eaaa dccccccbbbbgcccc aaa dcccccbbbbbbcccc aaae dccccbbbbbbbcccc aaad e dccgbbbbbbbbbccc aaaf faa dcbbbbbbcgbbbccc faaa eaaaaae dbbbbbgcccbbbgcc daaa daaaaaaaa ebbbbbcccccbbbbcc eaaaeaaaaaaaaf gbbbbbcccccccbbbcc aaaaaaaaaad bbbbbbccccccccbbbbc aaaaaaaae bbbbbgcccccccccgbbbc aaaaad ebbbbbdcccccccccccbbbg eaae gbbbbb dcccccccccccbbbb bbbbbg ebbbe ebbbbbe bbbb cbbbbb gbbb bbbbbg bbbc bbbbbc bbbb ebbbbb ebbbe gbbbbb bbbb bbbbbg gbbb bbbbbe bbbc bbbbbbge ebbbbb bbbb ebbbbbbbbbbbbgc gbbbbb ebbb bbbbbbbbbbbbbbbbbbe bbbbbg bbbb bbbccgbbbbbbbbbbbbbbbge ebbbbbe gbbb bbbb ecgbbbbbbbbbbbg cbbbbb bbbc bbbg gbbbbbbbe bbbg bbbb gbbb egbbb bc ebbb bbbb c bbbb cbbb gbbb bbbb bbbc ebbbe bbbb bbbb ebbb bbbc bbbg gbbb gbbb bbbg bbbc gbbb bbbb bbbb ebbb ebbbe bbbgbbbb gbbbbbbe bbbbbb bbbbbg ebbbb bbbb cbb ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f7c40ff b,#49b3a3ff c,#98cdbfff d,#bdded5ff e,#e0eeeaff f,#869c6fff g,#6bc1b4ff ``` ```image daaaaaaaaaaf faaaaaaaaaad efaaaaaaaaafeefaaaaaaaaafe faaaaaaaaaaaaaaaaaaaaf caaaaaaaaaaaaaaaaaac daaaaaaaaaaaaaaaad efaaaaaaaaaaaafe faaaaaaaaaaf caaaaaaaac daaaaaad efaafe dde dbbbbd cbbbbbbe egbbbbbbbc ebbbbbbbbbb dbbbbbbbbbbbd cbbbbbbbbbbbbg egbbbbbbbbbbbbbbe dbbbbbbbbbbbbbbbbc cbbbbbbbbbbgbbbbbbb gbbbbbbbbbbd bbbbbbbd egbbbbbbbbbge cbbbbbbg dbbbbbbbbbbc ebbbbbbbe cbbbbbbbbbbd gbbbbbbc gbbbbbbbbbbe dbbbbbbb bbbbbbbbbge bbbbbbbd bbbbbbbbc cbbbbbbg bbbbbbbd ebbbbbbbe bbbbbge gbbbbbbc bbbbg dbbbbbbb bbbc bbbbbbbd bbd cbbbbbbg ge ebbbbbbbe gbbbbbbc dbbbbbbb bbbbbbb ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#5f7c40ff b,#49b3a3ff c,#a3d7ceff d,#adbb9dff e,#dae8e0ff f,#7d9564ff g,#76c5b9ff ``` ```image dfa aaae aaad aaaf aaaa daaa daaa eaaa eaaa aaa daaaa aaac faaaaa aaaae aaaaaaae faaaaf eaaaaaaaad daaaaa daaaaa aaaf eaaaaa faaaaf faaa aaaaac aaaaad daaa aaaaaf eaaaaae eaaa daaaaa daaaaa aaa eaaaaa faaaaf aaae aaaaad aaaaad aaad aaaaaf eaaaaae aaaf daaaaa daaaaa faaa eaaaaae faaaaf daaa aaaaad aaaaad eaaa faaaaf eaaaaae aaa daaaaa daaaaa aaae eaaaaae faaaaf aaad aaaaad aaaaad aaaf faaaaf eaaaaae faaa daaaaa daaaaa daaa eaaaaae faaaaf eaaa aaaaad aaaaad aaa faaaafeaaaaae aaae daaaaaaaaa aaad eaaaaaaf aaaf aaaad faaa fae daaa cbb eaaa gbbbc aaa bbbbbb aaae ebbbbbbbe aaad e cbbbbbbbbb aaaf faa bbbbbg cbbb faaa eaaaaae bbbbbc bbbc daaa daaaaaaaa ebbbbb bbbb eaaaeaaaaaaaaf gbbbbb ebbbe aaaaaaaaaad bbbbbg bbbb aaaaaaaae bbbbbe cbbb aaaaad cbbbbb bbbc eaae gbbbbb bbbb bbbbbc ebbbe ebbbbbe bbbb cbbbbb cbbb bbbbbg bbbc bbbbbc bbbb ebbbbb ebbbe gbbbbb bbbb bbbbbg gbbb bbbbbe bbbc bbbbbbce cbbbbb bbbb ebbbbbbbbbbbbgc gbbbbb ebbbe bbbbbbbbbbbbbbbbbbe bbbbbc bbbb bbbccgbbbbbbbbbbbbbbbge ebbbbbe gbbb bbbb ecgbbbbbbbbbbbg cbbbbb bbbc bbbg gbbbbbbbe bbbg bbbb gbbb egbbb bc ebbb bbbb c bbbb cbbb gbbb bbbb bbbc ebbbe bbbb bbbb ebbb bbbc bbbg gbbb gbbb bbbg bbbc cbbb bbbb bbbb ebbb ebbbe bbbgbbbb gbbbbbbc bbbbbb bbbbbg ebbbb bbbb cbb ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3ce1faff b,#cbc4f9ff c,#a5f0fcff d,#6de7faff e,#e0f1fbff f,#b1d7b2ff g,#94ca97ff ``` ```image cee aaa aaa aaa e aaa ead aaa eaaaa aaa caaaa eaad caaaa caad eaaaa caac eaaaa daae aaaae aaae aaaae aaa aaaae aaa aaaac aaa aaaac aaa aaaad aaa daaad aaa daaad eaaa daaaa eaad caaaa caac caaaa daac eaaaa daae eaaaa aaa aaaae aaa aaaae aaa aaaae aaa aaaac aaa aaaac aaa aaaad aaa daaad eaad daaaa caad caaaa caac caaaa daae caaaa aaae eaaaa aaa eaaaa aaa aaaae aaa aaaae aaa aaaac aaa aaaac aaa aaaac aaa aaaad eaad daaad caac daaaa caac caaaa daae caaaa aaa eaaaa aaa eaaaa aaa eaaaa aaa aaaae aaa aaaae aaa aaaac aaa aaaac eaad aaaad caad daaad caac daaad daac daaaa daae caaaa aaa caaaa aaa eaaaa aaa eaaaa aaa e aaaae aaa bbb aaaae aaa bbb aaaae aaa ebbe aaaac eaad bbb aaaac caad bbb aaaad caac bbb daaad daae ebbb daaad aaae bbb daaaaaaa bbb caaaaaa bbbe ggggaaaaaggggggf ebbb efffffaaaaffffffg bbb effffffaaaffffffg bbbbbbbbbbbbbbbbbeee efffffffdfffffffg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeee efffffffffffffffg ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeee efffffffffffffffg eeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffffffffffg eeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg eeebbbbbbbbbbbbbbbbbbbbbbbbbbg efffffbbbbbbbbbbg efffffffffffffffg efffffffffffffffg ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#3de1fbff b,#cbc3faff c,#aff2fcff d,#79eafbff e,#dcd7fbff f,#eceafcff g,#d3f7fdff ``` ```image caaaaaaaaaaad caaaaaaaaaad gaaaaaaaaac gaaaaaaaac gaaaaaaac gaaaaaa fdaaac gcg bbbbbbeeeeeffffff bbbbbbbbbbbbbbbbbbbbbbbeeeeefff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fffffeeeeeebbbbbbbbbbbbbb fffffeee ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3ce1faff b,#cbc3faff c,#c0f4fdff d,#64e6fbff e,#e1dcfbff f,#e9f6fdff g,#92edfcff ``` ```image gcf aaa aaa aaa c aaa cad aaa faaaa aaa gaaaa caad caaaa caag caaaa gaac faaaa daac faaaaf aaaf aaaaf aaa aaaac aaa aaaac aaa aaaag aaa aaaag aaa daaad aaa daaad faad gaaaa caad gaaaa gaag caaaa gaac caaaa daaf faaaa aaa faaaaf aaa aaaaf aaa aaaac aaa aaaac aaa aaaag aaa aaaad aaa daaad faad daaad caag gaaaa gaag gaaaa daac caaaa daaf faaaa aaa faaaaf aaa faaaaf aaa aaaaf aaa aaaac aaa aaaag aaa aaaag faaa daaad caad daaad caag daaaa gaac gaaaa daac caaaa aaaf caaaa aaa faaaa aaa faaaaf aaa aaaaf aaa aaaac aaa aaaac aaa aaaag faad aaaag caad daaad gaag daaad gaac gaaaa daaf gaaaa aaa caaaa aaa caaaa aaa faaaa aaa e faaaaf aaa bbb aaaaf aaa bbb aaaac aaa ebbe aaaac faad bbb aaaag caag bbb aaaag gaag bbbf daaad daac ebbe daaad aaaf bbb gaaaaaaa bbb gaaaaaa bbbf caaaaa fbbb caaaa bbbf faaa bbbbbbbbbbbbbbbbeeeff c ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeff eebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeff ffeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeff ffeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffeeebbbbbbbbbbbbbbbbbbbbbbbbb ffeeebbbbbbbb ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#98498dff b,#339f0eff c,#add5abff d,#e0d5dcff e,#74bd5dff f,#ba8bb3ff g,#7e0f6fff ``` ```image fd ggg ggg ggg dggf aggd ggg a ggg fgg dgga ggggf fggd ggggg ggg aggggd ggg dgggga ggg ggggg fggf fggggf agg ggggg ggg aggggd ggg dgggga dgga ggggg aggd fggggf ggg ggggg ggg aggggd gga dgggga fggf aggggd ggg fggggf ggg ggggg ggg fggggd dggf dgggga aggd aggggd ggg dgggga ggg ggggg dgga fggggf fggd ggggg ggg aggggd ggg dgggga ggg ggggg fggf fggggf agg ggggg ggg aggggd ggg dgggga dgga ggggg aggd fggggf ggg ggggg ggg aggggd gga dgggga fggf ggggg cccccccccccgggcc fggggf cccccccccccgggcc gggggcccccccccccgggcc aggggfccccccccfggacc dggggacccccccaggccc gggggccccccgggccc aggggaccccgggccc ccgggggcccggaccc cccaggggfaggfccc cccccgggggggcccc ccccccggggggcccc cccccccfggggcccc cccccccccggccccc cccccccccccccccc cccccccccccccccc dccee cccceeeebbbbbbbbbbbbbbbb dccceebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddcceebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeccd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeccccccccc cbbbbbbbbbbbbbbbbbbbeecccd bbbbbeeeccd ebbbbe dbbbbbd bbbbbe cbbbbb bbbbbc ebbbbe dbbbbbd bbbbbe cbbbbb bbbbbc ebbbbb dbbbbbd bbbbbe cbbbbb bbbbc cbb d ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#a04f95ff b,#329f0eff c,#a2d391ff d,#ddd8d8ff e,#6bb950ff f,#c28ebbff g,#7e106fff ``` ```image agggggd gggggg dggggga fgggggf agggggd f gggggg ga ggggga gggd dgggggf ggggf fgggggf gggggad agggggd gggggggf gggggg gggggggga dggggga agggggggggd fgggggf fgggggggggf agggggd daggggggggad gggggg fgggggggggf dggggga dggggggggga fgggggf agggggggggd fgggggd fgggggggggfaggggg dagggggggggggggg fgggggggggggga dgggggggggggf agggggggggd fgggggggg daggggga fggggd dffd dddcccce dddcccceeeeebbbbbbbbbbbb eeebbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbeeeeccccddd bbbbeeeeccccdddd ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#9b4790ff b,#339f0eff c,#a6d596ff d,#ded6d9ff e,#70bc57ff f,#bf88b7ff g,#7e106fff ``` ```image fd ggg ggg ggg dggf aggd ggg a ggg fgg dgga ggggf fggd ggggg ggg aggggd ggg dgggga ggg ggggg fggf fggggf agg ggggg ggg aggggd ggg dgggga dgga ggggg aggd fggggf ggg ggggg ggg aggggd gga dgggga fggf aggggd ggg fggggf ggg ggggg ggg fggggd dggf dgggga aggd aggggd ggg dgggga ggg ggggg dgga fggggf fggd ggggg ggg aggggd ggg dgggga ggg ggggg fggf fggggf agg ggggg ggg aggggd ggg dgggga dgga ggggg aggd fggggf ggg ggggg ggg aggggd gga dgggga fggf ggggg ggg fggggf ggg ggggg ggg aggggd dggf dgggga aggd ggggg ggg fggggf ggg ggggg dgga aggggdfggd dggggggg gggggg fgggg ggd dccce ddcceebbbbbbbbbbbbbbb ddcceebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddcceebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeccd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeccdd cbbbbbbbbbbbbbbbbbbbeeccdd bbbbbeeccdd ebbbbe dbbbbbd bbbbbe cbbbbb bbbbbc ebbbbe dbbbbbd bbbbbe cbbbbb bbbbbc ebbbbb dbbbbbd bbbbbe cbbbbb bbbbc dbb d ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#91bf9fff b,#edcb1cff c,#578697ff d,#dcd159ff e,#b1d7b1ff f,#f7eaa6ff g,#f2f5eaff ``` ```image geeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeee geeeeeeeeeeeedeeee geeeeeeeeeeedbbeee geeeeeeeeeedbbbeee geeeeeeeeedbbbceee geeeeeeeedbbbcaeee geeeeeeedbbbccaeee geeeeeedbbbacceeee geeeeedbbbeccceeee geeeedbbbeeccceeee geeedbbbeeeccceeee geedbbbeeeeccaeeee gedbbbeeeeacceeeee gdbbbeeeeeccceeeee fbbbeeeeeeccceeeee fbbbeeeeeeeccceeeee fbbbeeeeeeeeccaeeeee fbbbeeeeeeeeacceeeeee fbbbgeeeeeeeeacceeeeee fbbbggeeeeeeeeccceeeeee fbbbg geeeeeeeeccceeeeee fbbbg geeeeeeeeccaeeeeee fbbbg geeeeeeeecceeeeeee fbbbg geeeeeeeacceeeeeee fbbbg gaeeeeeeccceeeeeee fbbbg gggggggcccggggggg fbbbg cca fbbbg ccg fbbbg ecc gbbbg acc gbbbg ccc gbbbg cca gbbbg cce gbbbg gcc gbbbg acc gbbbf ccc gbbbf ccc gbbbf cce gbbbf gcc gbbbf acc gbbbf ccc gbbbf ccc dbg gbbbf cce fbbb gbbbf gccg bbbbb gbbbf ecc bbbdbbb gbbbf ccc fbbd dbbb gbbbf ccc gbbb bbbd bbbf cca bbbg bbbf bbbf ccg dbbf bbbf bbbf ecc fbbb bbbg bbbf acc bbb gbbb bbbf ccc bbbf fbbbbbbf cca fbbd fbbbbf cce bbb dbbf ecc bbbg ff acc dbbf acccccaeg ccc aaaaaaaaaaabbbaaaaaaaaaaaaaaaaaccccccccccccccaeg cca eeeeeeeeeebbbeeeeeeeeeeeeeeeeeccccaaccccccccccccccccaeg cce eeeeeeeeebbbdeeeeeeeeeeeeeeeecccceeeeeeeeaaccccccccccccccccaeg gcc eeeeeeeedbbbeeeeeeeeeeeeeeeacccceeeeeeeeeeg geaccccccccccccccccae acc eeeeeeeebbbeeeeeeeeeeeeeeeccccaeeeeeeeeeeeg geacccccccccccccccc eeeeeeebbbeeeeeeeeeeeeeeecccceeeeeeeeeeeeeg geaccccccccc eeeeeedbbdeeeeeeeeeeeeeecccceeeeeeeeeeeeeeg geac eeeeeebbbeeeeeeeeeeeeeacccceeeeeeeeeeeeeeeg eeeeebbbeeeeeeeeeeeeeccccaeeeeeeeeeeeeeeeeg eeeebbbdeeeeeeeeeeeecccceeeeeeeeeeeeeeeeeeg eeedbbbeeeeeeeeeeeecccceeeeeeeeeeeeeeeeeeeg eeebbbeeeeeeeeeeeacccceeeeeeeeeeeeeeeeeeeeg eebbbeeeeeeeeeeeacccaeeeeeeeeeeeeeeeeeeeeeg eeebdeeeeeeeeeeccccaeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeecccceeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeecccceeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeacccceeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeecccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeecccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeacccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeecccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg aaaccccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaag cccc ce ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7ca0aeff b,#eecb1dff c,#578597ff d,#f2d95bff e,#a7bfc9ff f,#f8ecb0ff g,#d5e1e5ff ``` ```image fbbbbbd acccccccccccccccccca fbbbbbbf gccccccccccccccccccccc dbbbbbf gcccccccccccccccccccccc dbbbbbd ecccccccegeeaccccccccccc fbbbbbb accccccce ggeeacccc bbbbbbf gacccccccg gg dbbbbbd gcccccccag fbbbbbd eccccccca fbbbbbbf accccccce dbbbbbf acccccccg dbbbbbd gcccccccag fbbbbbb eccccccca bbbbbbf eccccccce dbbbbbd acccccccg fbbbbbb gccccccccg bbbbbbf gccccccca dbbbbbf eccccccce dbbbbbd accccccce fbbbbbb gacccccccg bbbbbbf gcccccccag dbbbbbd eccccccca fbbbbbb accccccce bbbbbbf acccccccg dbbbbbf gcccccccag fbbbbbd eccccccca fbbbbbb eccccccce fbbbbbf acccccccg dbbd gccccccccg fb gccccccca eccccccce accccccce gacccccccg gcccccccag eccccccca accccccce gacccccccg gcccccccag eccccccca eccccccce acccccccg gccccccccg gccccccca eccccccce accccccce gacccccccg gcccccccag ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. 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,#81a4b1ff b,#edcb1cff c,#568597ff d,#f2db6bff e,#abc2cbff f,#d8e2e1ff g,#afae4dff ``` ```image df dbbf dbbbbf dbbbbbb dbbbbbbd dbbbbbbgf dbbbbbbgc dbbbbbbgca dbbbbbbgcca dbbbbbbgccce dbbbbbbgccccf dbbbbbbdccccc dbbbbbbdecccca dbbbbbbd ecccca dbbbbbbd acccce dbbbbbbd cccccf dbbbbbbd fccccc dbbbbbbd fccccc dbbbbbbd ecccca dbbbbbbd acccce dbbbbbbd cccccf dbbbbbbd cccccf dbbbbbbd fccccc dbbbbbbd ecccca dbbbbbbd acccce dbbbbbbd acccce dbbbbbbd cccccf bbbbbbd fccccc bbbbbd ecccca bbbbd acccca bbbd acccce bbd cccccf bd fccccc d ecccca ecccca acccce cccccf fccccc fccccc ecccca acccce cccccf cccccf fccccc ecccca acccce ``` <!-- end of image --> I don't observe any intersections inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#89aab6ff b,#eecb1dff c,#578597ff d,#f3de75ff e,#bdcfd6ff f,#f8edb2ff g,#f4f3e5ff ``` ```image d dbb dbbb dbbbc dbbbca dbbbcce dbbbecc dbbb acc dbbb ccc dbbb cca dbbb cce dbbb ecc dbbb acc dbbb ccc fbbb cca fbbb cce fbbb gcc fbbbg acc fbbbg ccc fbbbg ccc fbbbg cce fbbbg gccg fbbbg ecc fbbbg ccc fbbbg ccc fbbbg cca fbbbg ccg fbbbg ecc fbbbg acc gbbbg ccc gbbbg cca gbbbg cce gbbbg ecc gbbbf acc gbbbf ccc gbbbf cca gbbbf cce gbbbf gcc gbbbf acc gbbbf ccc gbbbf ccc db gbbbf cce fbbb gbbbf gccg bbbbb gbbbf ecc bbbdbbb gbbbf ccc dbbd bbbb bbbf ccc gbbb bbbd bbbf cca bbbg bbbd bbbf ccg dbbd bbbf bbbd ecc fbbb bbbg bbbd acc bbb gbbb bbbd ccc bbbf fbbbbbbd cca dbbb dbbbbd cce bbb dbbd ecc bbbg ff acc dbbd acccccaeg ccc gbbb ccccccccccccccaeg cca bbb cccceaccccccccccccccccaeg cce bbbf gcccc eaccccccccccccccccae gcc fbbb eccca geaccccccccccccccccae acc bbb accce geacccccccccccccccc bbbg cccc geaccccccccc dbbd gcccc geac gbbb eccca bbb accce bbbf ccccg fbbb cccc bbb ecccc bbbg accca gbd ccccg cccc gcccc eccca accce cccc gcccc eccca accce ccccg cccc cccc ce ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#3a3eafff b,#b754c4ff c,#1013a1ff d,#dac9ebff e,#b699d7ff f,#acd4acff g,#6d72c1ff ``` ```image ffffffffffffffff ffffffffffffffff beeeebbbbbbbbbbbbbbbbeeeeddddd ffffffffffffffff b ddddddeeeebbbbbbbbbbbbbbbbeeeeddddddffffffffffffffff b ddddeeeebbbbbbbbbbbf b fffffffcffffffff b ffffffgcffffffff b ffffffaaffffffff b ffffffcgffffffff b ffffffcfgfffffff e ffffffcfafffffff e ffffffafcfffffff e ffffffgfcfffffff d fffffgffafffffff d fffffaffgfffffff dd fffffcfffgffffff dd fffffcfffcffffff d a c e g c e ed g b g ed b c g b c a d c c d g c e de g g ed a g c c c c a c g g ed de g g c c c c c c a g de de ed g a c c c c a a g g de dd a g c a c c c d a dcg de dcg ed dcg a dcg c cg c ca c ca g ca de aa g aa a aa c aa c ac a ac e ac ed gc g gcd c gcd c gcd c gcd g gcd de gcd g ecd a ece c ece c ece a ece g ece ed dceg dc ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#4b4db8ff b,#b752c5ff c,#1215a2ff d,#e1cfeeff e,#abacdeff f,#d191daff g,#7c7dcbff ``` ```image d bbbbbbbbbbbbfffffffffffdddddddd ddfffffffffffbbbbbbbbbbbbbbbbbb cc dddddd ccd dcce eccg gccg acaa aagc cgecd dceece ece cg ecd ca gc aa aa gc ca ecd cg dce dce cg ecd ca gc aa ac gc aa ecd cg dce dce cg ece ca ``` <!-- 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
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3b3eb2ff b,#b752c5ff c,#1013a1ff d,#d9ccecff e,#a1a2daff f,#d08fd9ff g,#6c6dc5ff ``` ```image bffffbbbbbbbbbbbbbbbbfffffdddd b dddddfffffbbbbbbbbbbbbbbbffffffdddd b dddddfffffbbbbbbbbb b c b ec b ga b ced b c e f c a f g c f de c f g a d a ed dd c g dd c a d a c f g c f ed g b g ed b c g b c a f c c d g c f de g e ed a g c c c c a c g g ed de g g c c c c c c a g de de ed g a c c c c a a g g de dd a g c a c c c d a dcg de dcg ed dcg a dcg c cg c ca c ca g ca de aa g aa a aa c aa c ac a ac e ac ed gc g gcd c gcd c gcd c gcd g gcd de ecd g ecd a ece c ece c ece a ece e ece ed dceg dc ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#d815a5ff b,#d51213ff c,#e88081ff d,#ee9fc6ff e,#e14fbbff f,#dd4546ff g,#f7d3e4ff ``` ```image gag gaae daad eaag aaag aaa ag aaa gaa gaae aad daae aa eaad eae aaag aa aaa daa aaa aag gaaa gaa daae aad eaad aa eaag eae aaa aa aaa eaa aaa aag gaae daa daae aad eaad gaa aaag aae aaa aa aaa eaa gaaa aag daae daa eaad aad eaag c gaa aaa bbd aae aaa cbbb aa gaaa bbbb eae gaae fbbfbc aa daae bb gbb daa eaad fbf bb aag aaag gbb fbc gaa aaa bbc bb aad aaa dbb bb aa gaaa bbg cbf eae daae cbb bb aa eaad bb bbg daa eaag fbf dbf aag aaa bb bb gaa aaa bbc bbd aad gaaa gbb dbb aa gaae bbd bb eaaaad dbb fbc aaag bbg gbb dag cbb bb bb fbc fbf bb bb bb bbc cbf gbb bb bbd bbg dbb dbf bbg bb cbb bbd bb gbb fbf bb bc bb fbc cbbbf bbc gbb fbbbf gbb bb fbbbbg bbg fbc cbbbbg cbb bb cbbbbd bb bb dbbbbc fbf cbf gbbbbc bb bb bbbbf bbc bbg fbbbf gbb dbf fbbbbg bbc c cbbbbg dbb cbbbbd bbg dbbbbc cbb gbbbbc bb bbbbf fbf fbbbf bb fbbbbbc cbbb dg ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#7a6af1ff b,#a59df4ff c,#6035f2ff d,#4d55faff e,#d3cdfcff f,#b0d7b1ff g,#95c897ff ``` ```image edb dd dd ad bde da dd gffffffffffffffffg dd gffffffffffffffffg bdbe gffffffffffffffffg ddddddddabee gffffffffffffffffg ebbdddddddddddddabe gffffffffffffffffg ebaddddddddddddabe gffffffffffffffffg ebaddddddddddddabee gffffffffffffffffg ebbdddddddddddddabe gffffffffffffffffg ebaddddddddddddaabffffffffffffg ebadddddddddddddabffffg gfffbaddccdddddddddabe gfffffffccffbaaddddddddddddabe gffffffcccbffffffg ebadddddddb gfffffacaccffffffg eee gfffffccfccffffffg gffffccbfccffffffg gffffccffbcbfffffg gfffccffffccfffffg gffacaffffccfffffg gffccfffffccfffffg fgccggggggacgggggf ecc ca cc cc acb cc cc bce cc ca bca cc cc cc ccb bce ecc ca cc cc bca cc cc bce cce ca ecc cc cc cc acb bce cc ca cce cc bca cc cc bce acb ca ecc cc cc cc bca bce cc ca cce cc ecc cc cc bce aca ca cc cc eebaacccce cc ebbacccccccccccccccca bce ccccccccccccccccaabee ca cccccabbee cc cc cc bcb bce cc cc eca ccb cc cc cc ecc bcb aca cc cce eca cc cc bcc cc ccb bcb cc cc ecc eca bca cc cce cc ce bcb cc cc e ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7460f6ff b,#aba4faff c,#5f35f3ff d,#4d55faff e,#e5e2fdff f,#8f82f8ff g,#c7c1fbff ``` ```image ge ddddafbbge ddddddddddddaffbgee ddddddddddddddddddddaffbgge bbfadddddddddddddddddddddddddafbb eggbffadddcccdddddddddddddd efcccaadddddddddddd ecccca eegbbfadddd fccccce eg gccccccg accccccf bcccaccca eccccefccce acccf bcccg gcccc ecccf eccccg ccca fccca fccce ecccce bcccg acccb ecccf bccca ccca eccccg fccce fcccf bcccg gcccce ecccf acccb ccca bccca fccce ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#775ef6ff b,#ab9ef9ff c,#5f35f3ff d,#4d55fbff e,#e3e0fdff f,#9085f9ff g,#c7bffbff ``` ```image edb dd dd ad gdg da dd dd bdfg ddddddddafge egfdddddddddddddfbe egbaddddddddddddabg gbfddddddddddddafge egfdddddddddddddfbe egbaddddddddddddabg ebfddddddddddddafge egfadccdddddddddfbe ecc gbaddddddddddddabg cccg ebfdddddddb bcaca ege cc cc ccg cc ecc bcg cc ca fcf cc cc cc cce bcg gcc ca cc cc acb cc ecc bcg cce ca bca cc cc cc acg bcg ecc ca cc cc fca cc cc bcg ccg ca gcc cc cc cc acf bcg cc ca cce cc bca cc cc bcg acb ca ecc cc cc cc bca bcg cc ca ccg cc gcc cc cc bcg fcf ca cc cc egbfacccce cc egbfaaccccccccccccccca bcg eccccccccccccccccafbge ca cccccafbge cc cc cc fcg bcg cc cc eca ccb cc cc cc ecc bcb aca cc ccg eca cc cc bcc cc acf bcb cce cc ecc eca fca ace ccg cc cg bcb cc eca ge ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#733237ff b,#a2f3d9ff c,#c4acacff d,#65ecc1ff e,#946d6cff f,#e8f2ecff g,#aed5aeff ``` ```image db ddb fdd ddb fdd ddb fdd ddf bdd ddf bdd ddf bdd dd ddd dd dddb ddd bdddddddf dd ddffdddddddb ddb ddb bdddddddf fdd ddd fdddddddb ddb fdd bdddddddf fdd ddb fbddddddbf ddb ddd bdddddddb fffffffffffbddfffff cac bdd fbddddddbf fgggggggggggddggggggg aaaa ddf fdddddddb fgggggggggggddgggggggcaaac ddb bdddddddfggggggggggddgggggggaaaa ddd fddddddddggggggdddgggggcaaac fdd bdddddddgggddgggggaaaa ddb aaedddddddddggggaaaeg ddd aagggeeddddaegeaaaggg bdd aaggggggceeaaaaaegggg fddf aaggggggggggeaagggggg ddb faaggggggggggggggggggg bdd caaggggggggggggggggggg dd caeggggggggggggggggggg bdd eaeggggggggggggggggggg dd eaeggggggggggggggggggg bdd aagggggggggggggggggggg dd aagggggggggggggggggggg bdd aafffffffffffffffffff ff aa aa aa faa caa cae eae eac aaf aa aa aa aa aa faa caa cae eae eac cea aaf fcaaaaaac aa ceaaaaaaaaeaa aa feaaaaaaaaec aa aa caaaaaaaaacf aa aa ceaaaaaaaaef aac aa fcaaaaaaaaec cae faa ceaaaaaaaaef faa caa feaaaaaaaaec aa cae fcaaaaaaaaacf aafeae caaaaaaaaef eaeeac faaaec faaaaf f aaaaf aaaa eaaa caaa aaa aaa aaa cae c ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#733136ff b,#b3f2deff c,#b09092ff d,#65ecc0ff e,#865e5eff f,#6c9f88ff g,#dbcacbff ``` ```image ddddd bddddb ddddd bddddb ddddd b bddddb g dddb ddddb ca ddddddbb bdddd geaa ddddddddddb ddddb caaaa dddddddddddddbb bdddd geaaaaa aefddddddddddddddbbddddb caaaaaae aaaecffdddddddddddddddd geaaaaaac aaae gcffddddddddddddb caaaaaaeg aaac ccffddddddddaacg eaaaaaac aaac gcefddddfaaaaaaaaaaaeg aaac gceeeaaaaaaaaaaac aaag gceaaaaaaaaag aaag gceaaaac aaag gcg aaa aaa aaa aae aae aac aac aac aag aag aag aa ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#733237ff b,#a1f3d9ff c,#bb9d9fff d,#64ecc1ff e,#95686aff f,#dff4edff g,#d9c7c8ff ``` ```image db ddb fdd ddb fdd ddb fdd ddf bdd ddf bdd ddf bdd dd ddd dd dddb ddd bddddddbf dd ddffdddddddb ddb ddb bdddddddf fdd ddd fdddddddb ddb fdd bdddddddf fdd ddb fbddddddbf ddb ddd bdddddddb fdd cac bdd fbddddddbf ddf aaaa ddf fdddddddb bdd gaaag ddb bdddddddf ddf aaaa ddd fdddddddb bdd gaaac fdd bdddddddf ddf eaaa ddb aacddddddddd faaac ddd aa ceddddae eaaa bdd aa geeaaaaae ddf aa feaaf ddb faa bdd gaa dd cae bdd eac dd eag bdd aag dd aa bdd aa f aa aa aa faa gaa cae eac eac aag aa aa aa aa aa faa gaa cae eac eac gea aag fcaaaaaac aa geaaaaaaaaeaa aa geaaaaaaaaeg aa aa caaaaaaaaacf aa aa geaaaaaaaaeg aag aa fcaaaaaaaaec cae faa ceaaaaaaaacf faa gaa geaaaaaaaaeg aa cae caaaaaaaaac aafeac caaaaaaaaeg eaeeac faaaec gaaaag f aaaa aaaa eaaa gaaa aaa aaa aaa cae c ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#67bf84ff b,#32a959ff c,#78f67dff d,#c1f0c7ff e,#98d3acff f,#9bf89fff g,#e2f8e5ff ``` ```image c cccg fccc gcccd cccf cccc fccc dcccg cccf cccc cccc dcccg gcccf cccc cccc fcccg gcccd gd fcccc bbbe ccccc bbb gccccc ebbb fccccd bbbg ccccc dbbb dccccf bbbe cccccg bbb gccccc abbb fccccf bbbg cccccg dbbb dccccc bbbe fccccd bbb ccccc abba dccccf bbbg cccccg dbbb gccccc bbbe fccccd bbb ccccc abba dccccf bbb cccccd ebbb gccccc bbbd fccccf gbbb cccccg bbba gccccc bbb fccccd ebbb ccccc bbbd dccccf gbbb cccccg bbba gccccc bbb fccccf ebbb cccccg bbbg dccccc gbbb fccccd bbbe ccccc bbb dccccf abbb cccccg bbbg gccccc dbbb fccccd bbbe ccccc bbb dccccf abbb cccccd dbbbbg gccccc gbbbbbbb fccccf gabbbbbbbb cccccg abbbbbbbbe gccccc ebbbbbbbbe fccccd dbbbbbbbba ccccc dbbbbbbbbag dccccf gabbbbbbbbd cccccg abbbbbbbbe cccc ebbbbbbbbe gcf ebbbbbbbba dbbbbbbbbag gabbbbbbbbd abbbbbbbbd ebbbbbbbbe ebbbbbbbba dbbbbbbbbag gabbbbbbbbg abbbbbbbbd ebbbbbbbbe ebbbbbbbba dbbbbbbbbag bbbbbbbbbg bbbbbbd abbe ``` <!-- end of image -->
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This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b1569cff b,#7ac582ff c,#9e2c83ff d,#dab0d0ff e,#b3deb8ff f,#c583b6ff g,#e6e3e4ff ``` ```image bb ebbbbe ebbbbbg gbbbbbe ebbbbbg bbbbbe ebbbbbg ebbbbb gbbbbbe ebbbbb gbbbbbe ebbbbb gbbb bb g bbe gbbe ebb gbbbbe bb gbbbbe bb gbbbbe fc bb ebbbbg ccc ebe ebbbbg ccc gbb ebbbbg cccc bb ebbbbg dcaccg bb ebbbb acddcc bb ebbbb cc ccd ebe bbbbb cc dcc gbb bbbbb cc ccd bb bbbbb dca gcc bb bbbbe acd ccf bb bbbbe cc gcc ebe gbbbbe cc ccf gbb gbbbbe cc cc bb gbbbbe dca aca bb gbbbbe acd cc bbg ebbbbg cc aca ebe ebbbbg cc cc gbbbbbbg gcc fcc bbbbg fca ccg bb ccd fcc cc ccg cc dcc gcc ccd fca dcc ccd ccd cc gcc cc ccf gcc gcc fcf cca ccd cc cc aca cc cc gcc acc fcf cc ccg fcc cc ccg cc fcc gcc ccg fcf dcc ccg cc cc ccd cc dcc gcc cc fcf ccd ccg dcc cc cc cc ccd gcc dcc fcf cc ccg ccd cc gcc cc cc gcc acf gg fcf gcc gfacccca ccg cc daccccccccccf cc acf dfccccccccccad cc gcc gfccccccccccadg dcc cc gfacccccccccafg gd acf gdaccccccccccfg gccccccccccccfd ccccccad gfg ``` <!-- end of image -->
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I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8f34ccff b,#b580e4ff c,#771cd7ff d,#ddc6f3ff e,#9e57dbff f,#efe4f9ff g,#caa5ecff ``` ```image a baag b daae faaf aaaf aab baag baa daae faag aaa eaa baad daad daab aae aaa gaaf eaad aab gaab eaa faaa faag eaad eaa gaab daad faaa aae eaaf baaf gaab faab faae eaa eaaf faag baag aaa faae gaaf aaaf aae baag baaf daae faab aaaf eaabaag daae bf cd cf fc dc gc dd bc cccf ec cccca ac ca bcce cc ce eccb cc ce accg ca ce fcccf ce ce fccc cb ce gcca cg cb bcce cd cb eccb cf cb accd fc cb fcccf dc cf cb dccc gc cc cg gcce bc dcf cg bccb ec cc cg accf ec dcd cg ccb cc cc cd ecc cc dcd cd dccd ca cc cd cce ce dcd cd bcc cb cc cf fccg cg dcd cf aca cd cc cf gccf cf fcd cf ccb fc cc fc ecc dc fcg fc dccd gc cc fc cce bc fcg fc bcc bc cc dc fccg ec fcg dc aca ac cc dc gccf cc fcg gc ccb ca cc gc ecc ce fcg gc dccd cb cc gc cce cb fcg gc bcc cg cc bc fcccd cbbc ac acbc ccc acc cc ac ``` <!-- end of image -->
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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. <!-- image --> ```palette Key,Color ,#fefefeff a,#7b3109ff b,#f4933bff c,#dcae82ff d,#eed4c0ff e,#9c7252ff f,#98c694ff g,#b1d7b0ff ``` ```image a daa aaaa aadaa cad daa aa caa ae eaa ea eae aa eae ae aae ea aac aa aad ac aad ea aa aa aa dac aa aa daa aa daa dad caa aa caa aa eaa cad eae aa aae ae aac ea aac aa aad ae aad ea aa gggggggaaggf aa ggggggfaeggg daa ggggggaagggg daa ggggggaagggg caa gggggfaegggg caa gggggaaggggg eaa gggggaaggggg eae ggggfafggggg aae ggggaagggggg aac ggggaagggggg aac gggeafgggggg aad gggaaggggggg aad gggaeggggggg aa gggfgggggggg aa gggggggggggg aa gggggggggggg daa gggggggggggg daa gggggggggggg caa gggggggggggg eaa gggcgggggggg eae gffffffffffffffg gggbbbbbbccg eaefggggggggggggggf gggggcbbbbbbbbbcd aaeggggggggggggggf fffffffffffcbbbbbbbbbcd aaegggggggggggggf a dcbbbbbbbbbd aafggggggggggggf aac dcbbbbbbbbbcd faafgggggggggggfdaad dcbbbbbbbbbcd fgaafggggggggggeaa dcbbbbbbbbbcd fggaagggggggggeaa dcbbbbbbbbc fgggaagggggggaaa dcbbbb fgggfaagggggaaef cbb fggggfaagggaaegf dbbd fgggggeaafaafggf bbb fggggggeaaaggggf cbb fgggggggeagggggf dbbd fggggggggggggggf bbb fggggggggggggggf bbbfggggggggggggggf dbbcgggggggggggggf bbbggggggggggggf fbbbgggggggggggf fgcbbggggggggggf fgggbbcggggggggf gffffbbbfffffffg cbb dbbc bbb cbb dbbd bbb bbb dbbd bbc bbb d ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#7a3007ff b,#f59239ff c,#cbad9dff d,#f0dcccff e,#b58d76ff f,#f7b77cff g,#985e3eff ``` ```image aaae caaad gaag daaae caaad gaag daaac eaaad gaag daaac eaaa aaag daaac eaaa aaae caaad gaaa aaae caaad gaag daaae caaad gaag daaac eaaad gaag daaac cg dfdd fbbbbbffdd bbbbbbbbbbbbffdd fbbbbbbbbbbbbbbbbb ddffbbbbbbbbbbb ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Now, let's turn our attention to the next spot. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#7a3007ff b,#f5923aff c,#ccafa0ff d,#eeded2ff e,#af826aff f,#f8ba82ff g,#935736ff ``` ```image e ae aae aaac aaaac caaaac caaaad caaaad eaaaad eaaagd eaaagd e gaaag ga gaaag dgaa gaaae daaaa dgaaae caaaag daaaae caaaag daaaac eaaaae daaaac gaaaac caaaac dgaaaac caaaacdaaaagd caaaaaaaagd eaaaaaae eaaaae eaac dd f bf bbbd bbbbf fbbbbf fbbbbbd dbbbbbf fbbbbf fbbbbbd dbbbbbd fbbbbf fbbbbbd ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#7a2f06ff b,#f5933aff c,#c9aa9aff d,#efdbcaff e,#a7765bff f,#f8ba83ff g,#8c4b28ff ``` ```image g caa aaaa agdaa cad caa aa caa ae eag ea eag aa gae ae gae ea aac aa aac dac aad ga aad aa aa dac aa ga daa aa daa cad caa aa eag ag eag cad gae aa gae ae aac ea aac aa aad ae aad ea aa aa aa dac daa ga daa aa caa dac caa ga eag aa eag cad gae aa gae ag aac cad aad aa aad ae aa c aa daa daa daa caa eag fd eag bbbbbbfd gae dfbbbbbbbbbfd gae dffbbbbbbbbfd aac a dfbbbbbbbbbfd aac aac dfbbbbbbbbbfd aad daad dfbbbbbbbbbfd aad caa dfbbbbbbbbbfd aa eaa ffbbbbbbbbf aa gag dfbbbb daa aae fbb daa aac dbbf caadaad bbb caaa fbb ea dbbd bbb bbb dbbd bbf bbb fbbd bbf bbb fbb dbbf bbb fbb dbbd bbb bbb dbbd bbf bbb f ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#26b344ff b,#836cdaff c,#b0d8b1ff d,#b3a8e6ff e,#89cf94ff f,#e7efedff g,#51c169ff ``` ```image c aa af eaaf ca fafae ac ac ea fa ag a ae aa a a ea ac gg ca eg a ac fa ea ae a af aa ac ca ga gg ac ca ca fa faf a ae ae af a ag ge gg ga ca a ca a ea faf a af ae ae ca ag ea ac ga fa fa ca a ae faf ac a ae gg gg ag fa a ga a ea ea af af faf ge ca ac ca ac b c ag a ca fb af ga af ae bd ac ea ae fa db ae faf ea ae bf ge ac a a bb eg ag a gg b ea ga ac a bd ca ea eg ga fb fafaf fa af bd aac a ea db ag ac ac bf e gg ca bb ca ac b a fa bd af ae fb ae a bf ca gg db a a bf a ga bb ac af fb eafffffffffeaff bd eeacccccccccaecef fb ecacccccccceacccf bf ecaecccccccaecccf db ecggcccccceaccccf b eceaccccccagccccf bb eccaccccccacccccf fb eccaeccccagcccccf bd eccagccccaccccccf db ecceacccgaccccccf bf ecccacccacccccccfdb ecccaccgacccccccfb bd ecccagcaecccccccbb fbbbd ecccgaeaccccccccb dbbbf eccccaaecccccccbd dbbd eccccaacccccccdbf fbbbf eccccagcccccccbcf dbbd eccccccccccccbbcf fbbbf eccccccccccccbccf dbbd ecccccccccccbbccf fbbbd ecccccccccccbcccf dbbbf eccccccccccbdcccf dbbd ecccccccccdbcccef fbbbf fffffffffbfffff dbbd bb fbbbf b dbbd bd fbbbd fb dbbbbbbbbbbbbd ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#25b344ff b,#866fdbff c,#abe1b7ff d,#c2b7edff e,#7dd18fff f,#dbf0e2ff g,#4dc166ff ``` ```image caaf aae faac caaf gae gag eag caac caaf gag faac caac aae gag gag faac caa eaa faaf faae aac eaaf gag aae eaa eaaf caaf aag faac caac gae gag eag caac caaf gag faac faac aae eaa eag faae caa eaaf faac faae aae eaaf gag aag eaa caaf caafgag aagaac d gaaag b eaaac db caaa bb faae dbb ce fbbd bbb dbbd bbb dbbd bbb dbbf fbbd bbb dbbd bbb ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#26b344ff b,#836cdaff c,#aae1b6ff d,#b6a8e9ff e,#7cd18eff f,#dce9e7ff g,#4dc166ff ``` ```image c ga af eaaf ca fa ae ac ac ca fa ae a ae aa a a ea ac gg ca eg a af fa ea ae a af aa ac ca ga gg ac ca ca fa af a ae ae af a ag ge gg ga ca a ca a ea faf a af ae ac ca ag ea ac ga fa fa ca a ae faf ac a ac eg gg ag fa a ga a ea ca af af faf ge ca ac ca ac b c ag a ca fb af ga a ac bd ac ea ae fa db ac faf ea ae bf ge ac a a bb eg ag a gg b ca ga ac a bd ca ea eg ea fb fafa fa af bd aac a ea db ae af af bf e gg ca bb ca ac b a fa bd af ae fb ae a bf ca gg db a a b a ga bb ac a b ea ea bd fa af fb a ca bf ac ac db gg fa b fa ae bb a a fb af ag bd ge a db ca gg bf a a db a ea b bd ae af bb bbbd eaca fb dbbb aac bd dbbd aa db fbbbf ae bf dbbd db fbbbf b dbbd bd bbbd fb dbbb bd dbbd db fbbbf bf dbbd bb fbbbf b dbbd bd bbbd fb dbbbbbbbbbbbbd ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#46fb02ff b,#86f671ff c,#0af521ff d,#b6fcaaff e,#5df93fff f,#e9fae6ff g,#add5acff ``` ```image ed decce dcccccedf fffffffffffdecccccccc deccccccccccbf fggggggbcccccccccccbf deccccccccccbf fgbcccccccccccbgg deccccccccccbf fbcccccccccccbggggggg deccccccccccbf fbccccccccccebgggggggggggg deccccccccccbf fbccccccccccedfgggggggggggggggg deccccccccccbf fbcccccccccced fggggggggaegggggg decccccccccccccccced fgggggggaaagggggg dbccccccbd fggggggaaaagggggg fgggggbaaaabggggg fgggggaaeaaeggggg fggggaaagbaaggggg fgggaaagggaaggggg fggaaaggggaaggggg fgeaagggggaabgggg fbaabgggggeaagggg faaeggggggbaagggg aaaggggggggaagggg aaafffffffffaafff eaaf aab baad baa daab faa aaa aa aaa aad aaa aab eaaf baa daad faa faae aa aaa aad aaa eae aaa daa baaf aa daab aaf faae aab aaa eaa aaa daa eaaf aa baad aaf faae aab aaa baa aaa faa aaa aa baaf aad daab eae faae daa aaa aa aaa aa eaaf aad baad eae faab daa aaa aa aaa aaf aaa aab eaaf baa daad faa faae aa aaa aad aaa aab eaa baa baad fd daab faae aaa aaa eaaf daad faae bb aaa faaa aaa aaaaa aaa aadaaaf baaf baa aaad daab aad aaae faae daa eaaaaaa aae daaaa faa faaf eaa aaf baa eb ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#45fc02ff b,#a6fc98ff c,#08f61fff d,#7cfb6bff e,#38f74aff f,#d4fdcdff g,#67fc30ff ``` ```image fbdeccccccccc fbdecccccccccccccc fbdeccccccccccccccccccc fbdecccccccccccccccccccedbf decccccccccccccccccccedbf ccccccccccccccccedbf cccccccccccedbf ccccccedbf cedbf baad baaaaf faaaaab faaaaaad gaaaaaag daaaaaaaa baaaaaaaaaf baaaaadaaaab faaaaad gaaag gaaaag daaaa gaaaaaf baaaaf daaaaaf faaaab baaaaab aaaad faaaaad gaaag faaaaag daaaa gaaaag baaaaf gaaaaaf faaaab daaaaaf aaaad baaaaab gaaag faaaaad daaaa faaaaag baaaaf gaaaaaf faaaab ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#46fb02ff b,#95fc82ff c,#08f51fff d,#b9fcaeff e,#40f752ff f,#e3fdddff g,#72fc3fff ``` ```image eb decce dccccceb decccccccc decccccccccebf becccccccccebf decccccccccebf beccccccccceb deccccccccccbf fbeccccccccced deccccccccccbf fbcccccccccced deccccccccccbf fbcccccccccced deccccccccccbf fbcccccccccced ab decccccccccccccccced aaa decccccced gaaa baaaad faagaag aaa baa aaa aa aaa aa gaaf aad daab gag faag daa aaa aa aaa aaf gaa aab baad gaa daab faa aaa aa aaa aad aaa aag gaaf baa baad faa faag aa aaa aad aaa gag aaa daa gaaf aa daab aaf faag aab aaa gaa aaa daa gaaf aa baad aaf faag aab aaa baa aaa faa aaa aa gaaf aad daab aag faag baa aaa aa aaa aa gaaf aab baad gag faag daa aaa aa aaa aaf aaa aab gaaf baa daab faa faag aa aaa aad aaa aag aaa baa baad fd daab aaa aaa aaa gaaf baad faag gb aaa faaa aaa aaaaa aaa aadaaaf gaaf gaa aaab daab aad aaag faag daa gaaaaaa aag baaaa aa faaf gaa aaf baa gb ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#f513b8ff b,#83ea76ff c,#fbaee6ff d,#eef4edff e,#97cf94ff f,#e86ac3ff g,#b1d7b0ff ``` ```image c aaa aaaad aaaaac aaaaaaf aaaaaaaf aaaafcaaa aaaaf caaa aaaaf daaa faaaa aaa faaaa aaa faaaa aaa faaaa aaa faaaa aaa faaaa aaad faaaa aaac faaaa faac caaaa faaf caaaa caaa caaaa caaa caaaa daaa caaaa aaa caaaa aaa caaaa aaa caaaa geeeeeeeeaaaeeeee daaaa eggggggggaaaggggg daaaa eggggggggaaaggggg daaaa eggggggggaaafgggg daaaa eggggggggaaafgggg aaaa eggggggggfaafgggg aaaa eggggggggfaaagggg aaaad eggggggggfaaagggg aaaad egggggggggaaagggg aaaad egggggggggaaagggg aaaad egggggggggaaagggg aaaac egggggggggaaagggg aaaac egggggggggaaagggg aaaac egggggggggaaagggg aaaac eggggggggbbfagggg aaaac eggggggbbbbbafggg aaaac eggggbbbbbbbafggg aaaac eggbbbbbbbbbafggg aaaac eebbbbbbgbbbfaggg aaaaf gbbbbbbgggebbeaggg aaaaf dbbbbbbggggggbbbaggg aaaaf dbbbbbbegggggggbbbaggg aaaaf dbbbbbbegggggggggbbbaggg aaaaf bbbbbbg egggggggggbbbfggg aaaaf bbbbbbe egggggggggebbbggg aaaaf ebbbbbb eggggggggggbbbggg aaaaf gbbbbbbd eggggggggggbbbggg aaaaa gbbbbbbd eggggggggggbbbggg faaaa dbbbbbbd eggggggggggbegggg faaaa dbbbbbbg egggggggggggggggg faaaa dbbbbbbg geeeeeeeeeeeeeeee faaaa bbbbbbg faaaa ebbbbbb faaaa gbbbbbb dddddddddddddddddfaaaa gbbbbbbd degggggggggggggggfaaaa dbbbbbbd dgggggggggggggggfaaaa dbbbbbbd dggggggggggggggfaaaad dbbbbbbg dgggggggggggggfaaaagd bbbbbbg dggggggggggggfaaaaggd bbbbbbe dggggggggggggaaaagggd ebbbbbb dgggggggggggaaaaggggd gbbbbbbd dggggggggggaaaagggggd gbbbbbbd dgggggggggaaaaggggggddbbbbbbd dggggggggaaaaggggggebbbbbbg dgggggggaaaaggggggbbbbbbg dggggggaaaagggggbbbbbbg dgggggaaaaggggbbbbbbb dggggaaaagggbbbbbbbgd dgggaaaaggebbbbbbgggd dggaaaagebbbbbbgggggd dgaaaagbbbbbbeggggggd daaaabbbbbbeggggggggd aaabbbbbbeggggggggggd aaebbbbbbggggggggggggd ebbbbbbggggggggggggged bbbbbdddddddddddddddd gbbd d ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f512b8ff b,#83ea76ff c,#fba1e2ff d,#d0f5cbff e,#bb7f96ff f,#f74bc8ff g,#a6ef9dff ``` ```image caa caaa caaaa caaaaa caaaaaa caaaaaaa caaaaaaaa caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaaf caaaaaaaaf aaaaaaaaf aaaaaaaaf aaaaaaaaf aaaaaaaaf g aaaaaaaaf gbb aaaaaaaaf dbbbb faaaaaaaf dbbbbbb faaaaaaaf dbbbbbbbb faaaaaaaf dgbbbbbbbbb faaaaaaaf dgbbbbbbbbbbb faaaaaaaf gbbbbbbbbbbbbd faaaaaaaf gbbbbbbbbbbbbd faaaaaaaf dbbbbbbbbbbbbg faaaaaaaf dbbbbbbbbbbbbg faaaaaaaf dbbbbbbbbbbbbgd faaaaaaaf dgbbbbbbbbbbbgd faaaaaaaadgbbbbbbbbbbbbd faaaaaaafgbbbbbbbbbbbbd faaaaaaaebbbbbbbbbbbbd faaaaaaebbbbbbbbbbbbg aaaaaebbbbbbbbbbbbg aaaebbbbbbbbbbbbg aebbbbbbbbbbbbgd bbbbbbbbbbbbgd ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. I'm ready to analyze the next area. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#f512b8ff b,#84ea77ff c,#fbabe5ff d,#e0f9ddff e,#b58a92ff f,#f159c6ff g,#b4f1acff ``` ```image faaaaaf caaaaaf caaaaaa caaaaaa caaaaaa aaaaaa aaaaaac aaaaaac aaaaaac faaaaac faaaaaf faaaaaf faaaaaf caaaaaf caaaaaa caaaaaa caaaaaa aaaaaa aaaaaac aaaaaac aaaaaac faaaaac faaaaaf faaaaaf faaaaaf caaaaaf caaaaaa caaaaaa dgefaaaa dgbbbbeaaa dgbbbbbbbaaac gbbbbbbbbbfaac gbbbbbbbbbbbeaac dbbbbbbbbbbbbbeaac dbbbbbbbbbbbbbbbbaaf dbbbbbbbbbbbbbbbbbbaaf dgbbbbbbbbbbbbgbbbbbbfaf dgbbbbbbbbbbbbg bbbbbbeaf gbbbbbbbbbbbbg gbbbbbeaa bbbbbbbbbbbbgd gbbbbbbaa bbbbbbbbbbgd dbbbbbbaa bbbbbbbbgd bbbbbbfa bbbbbbbd bbbbbbeac bbbbbd gbbbbbeac bbbg gbbbbbbac bg dbbbbbbac bbbbbbff bbbbbbef gbbbbbef gbbbbbbf dbbbbbbf bbbbbbf bbbbbbe gbbbbbg gbbbbbb dbbbbbbd bbbbbbd bggdd ``` <!-- end of image --> Area B doesn't meet the criteria for an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f512b8ff b,#84ea77ff c,#fa8cdcff d,#daf7d6ff e,#fcc9eeff f,#f34ec5ff g,#adf1a5ff ``` ```image e aaa aaaae aaaaae aaaaaac aaaaaaaf faaafcaaf faaaf eaaa faaaf eaaa faaaf aaa faaaf aaa faaaa aaa faaaa aaa faaaa aaa caaaa aaae caaaa aaae caaaa faac caaaa faaf caaaa caaf caaaa eaaa eaaaa eaaa eaaaa aaa eaaaa aaa eaaaa aaa eaaaa aaa eaaaa aaa eaaaa aaae eaaaa aaae aaaa faac aaaa faaf aaaa caaf aaaa eaaa aaaae eaaa aaaae aaa aaaae aaa aaaae aaa aaaae aaa aaaae aaa aaaae dbbfae aaaae bbbbbae aaaac bbbbbbbac aaaac gbbbbbbbbaf aaaac gbbbbbb bbbff aaaac gbbbbbb gbbba aaaac dbbbbbbd bbba aaaac dbbbbbbd bbba aaaaf bbbbbbg bbba aaaaf bbbbbbg bbbf aaaaf bbbbbbg dbbb faaaf gbbbbbb bbb faaaf gbbbbbb bbb faaaf dbbbbbbd bbb faaaf dbbbbbbd ggd faaaf dbbbbbbd faaaa bbbbbbg faaaa bbbbbbg faaaa gbbbbbb caaaa gbbbbbb caaaa gbbbbbb caaaa dbbbbbbd caaaa dbbbbbbd caaaa bbbbbbg caaaa bbbbbbg eaaaa bbbbbbg eaaaa gbbbbbb eaaaa gbbbbbb eaaaa dbbbbbbd eaaaa dbbbbbbd eaaaa dbbbbbbd eaaaa bbbbbbg eaaaa bbbbbbg aaaa gbbbbbb aaaa gbbbbbb aaaa gbbbbbb aaaa dbbbbbbd aaaadbbbbbbd aaaabbbbbbg aaabbbbbbg aabbbbbbg bbbbbbb bbbbb gbbd d ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#436a87ff b,#be9554ff c,#053961ff d,#b3d5b1ff e,#e1dfd8ff f,#829cafff g,#9dc693ff ``` ```image c fcf ccc eccc cc cf ca cc ac ac cc cf ecf dcd cc cc cc ac cc ca cf fca ac cc cce cc ac cc dcd cf dca cc cc ace ca ac cc ac cf ecc cc cc acd fce ac cc cc cf cc ca cc fcf ac ac cc cc cf cc fce cc fca cc ac cce ecf ecf cc ac cc dca cc ac ace fce ecf cc cc cc ecc ecf ac acd cc ecf cc cc cc cc fce ac fcf cc ecf cc ecf cc cc cc ac fca ca ecf cce fc cc cc cc ac dca ecf ecf ace cc cc cc ca ac ecc ac ecf acf cc cc cc dcd ac bbbbe cc cc ecf ebbbbbbbe fcf ca f edbbbbb cc ac bbb cc cc dbb fca dcd ebbe cce cc bbd cc ca bbb eca ac bbb acd cc dbb cc fce ebbe ecc cc gbb bbd acf ca ebbbbbe bbb cc ac ebbbbg bb bbb cc cc gbbbbe dbe dbb fcf fce ebbbbe bb ebbegggggggggccgccgggggggggd ebbbbg dbe bbgdddddddddcccadddddddddbbbbbe bb bbbddddddddfccdddddddddbbbe dbe bbbddddddddcadddddddgbbg bb dbbbdddddddddddddddbbbdg dbe ddgbbdddddddddddddbbbddg bb ddddbbgdddddddddgbbgdddg ebe dddddbbbdddddddbbbdddddg bb ddddddbbbdddddbbbddddddg ebe dddddddbbbddgbbgdddddddg bb ddddddddgbbbbbdddddddddg ebe ddddddddddbbbddddddddddg bb dddddddddddddddddddddddg ebd dddddddddddddddddddddddg bb dddddddddddddddddddddddg ebd dddddddddddddddddddddddg bb gggggggggggggggggggggggd ebd bb ebd d ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#446b89ff b,#be9452ff c,#053961ff d,#abbdcaff e,#f0ebe2ff f,#d1b384ff g,#e5d4baff ``` ```image acccd acca e eccccedcccd bg dcccaaccc bbg acccccca e bbbf ecccccce gb bbbbf dcccca fbb gbbbbbe acccd ebbbb ebbbbbe eaca gbbbbb efbbbbg d fbbbbfe fbbbbf ebbbbbg gbbbbf gbbbbbg gbbbbbe fbbbbfe ebbbbbe ebbbbbf efbbbbg gbbbbbg fbbbbf fbbbbfe gbbbbf efbbbbf gbbbbfe gbbbbbg ebbbbbe fbbbbfe efbbbbg efbbbbf fbbbbg gbbbbbg gbbbbf fbbbbfe gbbbbbbbbbbf ebbbbbbbbg efbbbbfe fbbf ee ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#416987ff b,#bf9553ff c,#053960ff d,#acbdcaff e,#e5e3ddff f,#7c97abff g,#dbc4a1ff ``` ```image c fcf ccc eccc cc cf ca cc ac ac cc cf ecf dcd cc cc cc ac cc ca cf fca ac cc cce cc ac cc dcd cf dca cc cc ace ca ac cc ac cf ecc cc cc acd dcd ac cc cc cf ecc cf cc fcf ac ac cc cc ecf cc fce cc fca cc ac cce ecf ecf cc ac cc dca cc ac ace fce ecf cc cc cc ecc ecf ac acd cc ecf cc cc cc cc fce ac fcf cc ecf cc ecf cc cc cc ac dca ca ecf cce fce cc cc cc ac dca ecd ecf acd cc cc cc ca ac ecc ac ecf acd cc cc cc dcd ac bbbge cc cc ecd ebbbbbbbg fcf ca f egbbbbb cc ac bbb cc cc gbb dca dcd ebbe cce cc bbg cc ca bbb dca ac bbb acd cc gbb cc dcd ebbe ecc cc gbb bbg acd cf gbbbbbe bbb cc ac ebbbbg bb bbb cc cc gbbbbe gbe gbb fcf fce gbbbbg bb ebbe cc cc ebbbbg gbe bbg cccf gbbbbe bb bbg dcc bbbg gbe bbb aa gbbe bb gbb bbb gbe ebbe bbb bb bbg gbbe gbe bbg bbb bb bbb bbb gbg gbb ebbe bb ebbbbb ebg ebbb bb e ebg bb ebg bb ebg bb ebg g ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#8a190bff b,#44edebff c,#b48e7cff d,#8deee5ff e,#9e5848ff f,#b1d7b1ff g,#96c696ff ``` ```image dbb bb bb bb bbd bbd dbb bb bb bb bbd dbd dbb bb bb bb bbd dbd dbb bbbb bb bbbd bb bbb bb dbbb bb bbbb bbd bbbd dbb dbbb bb bbbb bb bbbd bb bbb bbd dbbb dbd bbbb dbb bbbd bb bbb bb dbbb bb bbbd bbd bbbd dbb dbbb af dbb bbbb caa bb bbbd aaa bb bbb aaa bb dbbb eaaa bbd bbbb c aaaa dbb bbbd caae faaaaf bbffffffffffffffffffffffffffffffffffffffbbbffffaaaae aaeaac bbffffffffffffffffffffffffffffffffffffbbbbfffcaaaaaa aa eae bbfffffffffffffffffffffffffffffffffffbbbbfffaaaafeaa caa caa bbdfffffffffffffffffffffffffffffffffbbbdffgaaaeffeaa aac faa bbbfffffffffffffffffffffffffffffffdbbbfffeaaagfffcaa aa aa dbbffffffffffffffffffffffffffffffbbbbfffaaaafffffcaa eaa aa gbbfffffffffffffffffffffffffffffbbbdffeaaacffffffcaa aaf aa gbbffffffffffffffffffffffffffffbbbfffaaaaffffffffcaa faa aa gbbffffffffffffffffffffffffffdbbbffeaaacfffffffffcaa aae aaf gbbdffffffffffffffffffffffffbbbbffaaaafffffffffffcaa aa aac gbbbfffffffffffffffffffffffbbbdfcaaacffffffffffffcaa caa eae e gdbbfffffffffffffffffffffdbbbffaaaaffffffffffffffcaa aac caa eaa gfbbffffffffffffffffffffbbbbfcaaaefffffffffffffffcaa aa faa eaac gfbbfffffffffffffffffffbbbbfaaaafffffffffffffffffgaa eaa aa caac gfbbffffffffffffffffffbbbdgaaaeffffffffffffffffffgaa aaf aa caac gfbbdfffffffffffffffdbbbfeaaagfffffffffffffffffffgaa faa aacaae gfdbbffffffffffffffbbbbgaaaefffffffffffffffffffffgaa aae aaaae gffbbfffffffffffffbbbdeaaagffffffffffffffffffffffgaa aa aaae gffbbffffffffffffbbbfaaaafffffffffffffffffffffffffaa caa eae gffbbffffffffffdbbbeaaacffffffffffffffffffffffffffaa aac gffbbfffffffffbbbbaaaaffffffffffffffffffffffffffffaa aa gffbbdfffffffbbbgaaacfffffffffffffffffffffffffffffaaeaa gffdbbfffffdbbbaaaafffffffffffffffffffffffffffffffaaaaf gfffbbffffbbbbaaaeffffffffffffffffffffffffffffffffaaaa gfffbbfffbbbgaaaffffffffffffffffffffffffffffffffffaaae gfffbbffbbbeaaefffffffffffffffffffffffffffffffffffaaa gfffbbbbbbaaagffffffffffffffffffffffffffffffffffffaaa gfffbbbbbaaeffffffffffffffffffffffffffffffffffffffaac gfffdbbgaagfffffffffffffffffffffffffffffffffffffffaa gffffgeaafffffffffffffffffffffffffffffffffffffffffec gffeaaacfffffffffffffffffffffffffffffffffffffffffff gfaaaafffffffffffffffffffffffffffffffffffffffffffff eaaacffffffffffffffffffffffffffffffffffffffffffffff aaaaffffffffffffffffffffffffffffffffffffffffffffffff caaaeggggggggggggggggggggggggggggggggggggggggggggggggg aaaa faaac eaaa eaae a ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#8a190bff b,#42edebff c,#b6867fff d,#7ef1efff e,#9c453aff f,#e0c3bfff g,#bff8f7ff ``` ```image bbbb dbbbbbbg faaa bbbb dbbbbbbg caaaa bbbbg gbbbbbbd faaaaaa bbbbg gbbbbbbd caaaaaaa bbbbd dbbbbbbg feaaaaaaaa dbbbd gbbbbbbbg caaaaaaafca gbbbb gbbbbbbd feaaaaaae ca gbbbb dbbbbbbd caaaaaaaf ca bbbbg dbbbbbbg feaaaaaae ca bbbbd gbbbbbbbg caaaaaaac ca dbbbd gbbbbbbd eaaaaaaef ca dbbbb dbbbbbbg faaaaaaac ca gbbbb dbbbbbbg eaaaaaaef ca gbbbbg gbbbbbbd faaaaaaac ca bbbbg gbbbbbbd caaaaaaef ca bbbbd dbbbbbbg feaaaaaac ca dbbbd gbbbbbbbg caaaaaaaf fa dbbbb gbbbbbbd feaaaaaae fa gbbbb dbbbbbbd caaaaaaaf fa gbbbbg dbbbbbbg feaaaaaae fa bbbbg gbbbbbbb caaaaaaac fa bbbbd gbbbbbbd feaaaaaaef fa dbbbd dbbbbbbg faaaaaaac fa dbbbb dbbbbbbg eaaaaaaef fa gbbbb gbbbbbbd faaaaaaac fa gbbbbg dbbbbbbd caaaaaaef fa bbbbg dbbbbbbg feaaaaaac fa dbbbd gbbbbbbbg caaaaaaef fa dbbbb gbbbbbbd feaaaaaac fa gbbbb dbbbbbbd caaaaaaaf fa gbbbbg dbbbbbbg feaaaaaae fa bbbbg gbbbbbbb caaaaaaaf fa bbbbd gbbbbbbd feaaaaaaef fa dbbbd dbbbbbbg caaaaaaac fa dbbbb bbbbbbbg eaaaaaaef fa gbbbb gbbbbbbd faaaaaaac fa gbbbbg dbbbbbbd eaaaaaaef a bbbbg dbbbbbbgfaaaaaaac a bbbbd gbbbbbbbgcaaaaaaef a dbbbd gbbbbbbdfeaaaaaac a dbbbb dbbbbbbdcaaaaaaaf a gbbbb dbbbbbbgeaaaaaae a gbbbbg gbbbbbbbcaaaaaaaf a bbbbg gbbbbbbdeaaaaaae a bbbbd dbbbbbbdaaaaaaac a dbbbd bbbbbbbcaaaaaaef a gbbbb gbbbbbbbeaaaaaac a gbbbb dbbbbbbdaaaaaaef a bbbbg dbbbbbbcaaaaaac a bbbbd gbbbbbbbeaaaaaef a dbbbd gbbbbbbbaaaaaac a dbbbb dbbbbbbcaaaaaaf a gbbbb dbbbbbbeaaaaac a gbbbbggbbbbbbbeaaaaaf e bbbbdbbbbbbcaaaaae e bbbbbbbbbbcaaaaac e dbbbbbbbbeaaaaef e dbbbbbbbaaaaac e gbbbbbcaaaaef e bbbbeaaaac c cbceaaaef faaaaaaac caaaaaaef feaaaaaac caaaaaaaf feaaaaaae caaaaaaaf eaaaaaae aaaaaac ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8a190bff b,#43edebff c,#c08982ff d,#83f2f0ff e,#a34f44ff f,#e1c5c2ff g,#c4f9f8ff ``` ```image dbb gbb bb bb bbg bbd gbb bb bb bb bbg dbd gbb bb bb bbg bbd dbd dbb bbbb gbb bbbd bb gbbbg bb dbbb bbg bbbd bbd bbbg dbb gbbb gbb dbbb bb bbbd bb gbbbg bbg dbbb dbd bbbb gbb bbbd bb gbbb bb dbbb bb bbbd bbd bbbg dbb gbbb af gbb dbbb caa bb bbbd aaa bb gbbbg aaa bbg dbbb eaaa bbd bbbb c aaaa dbb bbbd faae faaaaf gbb gbbb aaaae aaeaac bb dbbb faaaaae aa eae bb bbbd eaaa caa caa caa bbg bbbg faaae caa aac faa dbd gbbb eaaaf caa aa aa gbb bbbb aaae caa eaa aa bb bbbd caaaf caa aaf aa bb gbbbg aaaa caa faa aaf bb dbbb caaaf faa aae aaf bbg bbbb aaaa faa aa eac dbd bbbg caaac faa caa eae e gbb gbbb aaaa faa aac caa eaa bb dbbb faaac faa aa faa eaac bb bbbd eaaa faa eaa aa caac bbg bbbgfaaae faa aaf aa caac bbd gbbb eaaaf faa faa aacaae dbb bbbb aaae faa aae aaaae gbb bbbdeaaaf aa aa aaae bb gbbbgaaaa aa caa eae bb dbbbcaaaf aa aac bbg bbbbaaaa aa aa bbd bbbdaaac aaeaa dbb gbbbeaaa aaaaf bb dbbbaaac aaaa bb bbbbaaa aaae bb bbbeaae aaa bbdbbbaaa aaa dbbbbaae aac gbbcaaf aa beae cc caaaf aaaa caaaf aaaa caaac aaaa faaac eaaa eaae af ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#affe21ff b,#965c66ff c,#e4e8c9ff d,#c9fb73ff e,#b1d7b1ff f,#97ca95ff g,#ac9891ff ``` ```image ebbc cbbbbbb gbbbbbbbbc gbbbbbbe bbb cbbbbbbg bbc bbbbbbb bbb gbbbbbbc bbc ebbbbbbg bbb cbbbbbbg bbc gbbbbbbc bbb ebbbbbbe bbc cbbbbbbg bbb gbbbbbbc bbc gbbbbbbe bbb efffffffffffffffffffff cbbbbbbg bbc feeeeeeeeeeeeeeeeeeeee bbbbbbb bbb feeeeeeeeeeeeeeeeeeeee gbbbbbbc bbc feeeeeeeeeeeeeeeeeeeee ebbbbbbg bbb feeeeeeeeeeeeeeeeeeeee cbbbbbbg bbcfeeeeeeeeeeeeeeeegeeee bbbbbbc bbbfeeeeeeeeeeeeeeegbbeee cbbe bbgeeeeeeeeeeeeeeebbbeee bbbeeeeeeeeeeeeeeebbeeee bbgeeeeeeeeeeeeebbbeeee bbbeeeeeeeeeeeeebbgeeee bbgeeeeeeeeeeegbbeeeee bbbeeeeeeeeeeebbbeeeee fbbgeeeeeeeeeebbfeeeee fbbbeeeeeeeeebbbeeeeee febbgeeeeeeeebbgeeeeee febbbeeeeeeegbbeeaeeee feebbgeeeeeebbbeaaaeee feebbbeeeeeebbgeaadeee feeebbgeeeegbbedaaeeee feeebbbeeeebbbeaaaeeee feeeebbgeeebbeeaaeeeee feeeebbbeebbbeaaaeeeee feeeeebbgebbgeaadeeeee caaad feeeeebbbgbbedaaeeeeee caaaaaaa feeeeeebbbbbeaaaeeeeee caaaaaaadaaa feeeeeebbbbgfaaeeeeeee daaaaaaad aad feeeeeeebbbfaaaeeeeeee daaaaaaac daa feeeeeeebbbeaadeeeeeee daaaaaaac aaa feeeeeeeebbaaaeeeeeeee cdaaaaaaac caad feeeeeeeeeeaaaeeeeeeee caaaaaaad aaa feeeeeeeeedaaeeeeeeeee caaaaaaad aaa feeeeeeeeeaaaeeeeeeeee daaaaad caad feeeeeeeeeaafeeeeeeeee aaaad aaa feeeeeeeeaaaeeeeeeeeee aaaa aaa feeeeeeeeaadeeeeeeeeee caaad daac daa daaac aaa aaa aaaa aaa aa aaaa daac aaa ad aaa aad aaa daa daac aaa aaa caa aad aaa daa aac aaa daa caad aad aaa caa aaa aaa caad aac aaa daa aaa aad daa daa aad aaa aaa aac aac aaa aaa aad caa daa aaa aaa daa caa aad aaa daa aac aaaaa aaaad aaa aaa a ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#afff1fff b,#975c66ff c,#cfb5baff d,#ddffa2ff e,#ebe9d9ff f,#c6ff60ff g,#b58b92ff ``` ```image gc ebbbge gbbbbg bbbbbe c cbbbbg b gbbbbc bc ebbbbb bb cbbbbg bbc bbbbbe bbb ebbbbb bbbc gbbbbc bbbb bbbbbe bbbbc cbbbbg bbbbb gbbbbc bbbbbc ebbbbb cbbbbb gbbbbg bbbbbc bbbbbe cbbbbb cbbbbg bbbbbc gbbbbc cbbbbb ebbbbb bbbbbc cbbbbg cbbbbb bbbbbe e bbbbbc ebbbbb aafe cbbbbb gbbbbc daaaaf bbbbbc bbbbbe faaaad cbbbbb cbbbbg eaaaaa bbbbbc gbbbbc faaaaf cbbbbb ebbbbb aaaaae bbbbbc gbbbbg daaaaf cbbbbb bbbbbe aaaaad bbbbbc cbbbbg daaaaa cbbbbb gbbbbc faaaad bbbbbc ebbbbb eaaaaae cbbbbb cbbbbg daaaaf bbbbbc bbbbbe aaaaad cbbbbb ebbbbb daaaaa bbbbbc gbbbbc faaaad cbbbbb bbbbbe eaaaaa bbbbbccbbbbg faaaaf cbbbbbgbbbbc aaaaae bbbbbbbbbb daaaaf cbbbbbbbbb faaaad bbbbbbbbg eaaaaa cbbbbbbbc faaaaf bbbbbbbe aaaaae cbbbbbb daaaaf bbbbbb aaaaad cbbbbgdaaaaa bbbbefaaaad eggceaaaaae daaaaf aaaaad daaaaa faaaad eaaaaa faaaaf aaaaae daaaaf faaaad eaaaaa ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#afff1fff b,#965c66ff c,#d6bfc3ff d,#d6ff8dff e,#edf8d5ff f,#c0ff4fff g,#b78f96ff ``` ```image cbbc cbbbbbb gbbbbbbbbc gbbbbbbc bbb cbbbbbbg bbc ebbbbbbbe bbb gbbbbbbc bbc cbbbbbbg bbb ebbbbbbg bbc gbbbbbbc bbb cbbbbbbc bbc cbbbbbbg bbb gbbbbbbe bbc gbbbbbbc bbb cbbbbbbg bbc ebbbbbbbe bbb gbbbbbbc bbc cbbbbbbg bbb ebbbbbbg bbc c bbbbbbc bbb gbb ebbc bbc bbg bbb ebb bbc bbb bbb bbc bbc cbb bbb bbb bbc bbe bbb gbb bbc bbg bbb cbb ae bbc bbb faa bbb bbc aad bbc gbb daa bbb bbg aaa bbc ebb eaae bbb bbb aaa bbc bbc aad efaaf bbbcbb daa eaaaaaaae bbbbb aaf daaaaaaadaaa bbbbgeaa daaaaaaad eaaf bbbcaaa daaaaaaad faa bbb aad faaaaaaae aaa bbfaa efaaaaaafe eaad aaf efaaaaaafe faa eaa eaaaaaaaf aaa aaa faaaaad eaad aae aaaad aaa faa aaaf aaa aad eaaad daae daa daaae aaa aaa faaa aaf eaae aaaa daae aaa af aaa aad e aaf daa faae aaf aaa eaa eaaf aaa faa aad aaa faa eaad aaf faa eaa aaa aaa eaad aae aaa faa aaf aad daa daa aad aaa faa eaae aae aaa aaa aad eaae daa aaa aaf daa eaa aaf aaa faa aad aaaaa aaaaf aaa aaa f ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#469007ff b,#04af2bff c,#87c984ff d,#6fa93fff e,#b2d8b0ff f,#e9f4e8ff g,#35bd54ff ``` ```image f fbg ebbc cbbe cbbe gbbf gbbf gbb bbc ebb bbg fbbf gbb bbe cbb bbc ebb bbg fbbf gbb bbe cbb bbc ebb bbg bbf gbc gbb ebbbg bbe bbbbf cbb cbbbc bbc fbbbb ebb gbbbe bbg fffffffffffffff ebbbg bbf ceeeeeeeeeeeeeeef bbbbf gbb ceeeeeeeeeeeeeeefgbbbc bbe ceeeeeeeeeeeeeecbbbg cbb ceeeeeeeeeeeeebbbbf bbc ceeeeeeeeeeegbbbc fbb ceeeeeeeeeebbbbef bbg ceeeeeeeegbbbceef f bbf ceeeeeecbbbgeeeef caa gbb ceeeeebbbbeeeeeef aa bbe ceeegbbbceeeeeeef aaf cbb cecbbbbeeceeeeeef dac bbc cbbbbceedaaeeeeef eaa fbb cbbbgeeeeaaaaeeeef aa bbg fbbbbeeeeeeaaaaaeeef aae bbf gbbbceeeeeeeaaeaadeef cad gbb ebbbg ceeeeeedadecaadef aa bbe bbbbf ceeeeeeaaceecaadf aa cbb cbbbc ceeeeeeaaeeeedaae aac bbc fbbbb ffffffaafffffdaaf eaa fbb gbbbf dad daaf aa bbg cbbbc aae aaa aae bbbbbb aa aaa cad gbbbe faa aaa faa bg dad aaa aa aaf faad aac aa faad eaa eaa eaac aa dad eaae aae aaf caae dad aa daaf faa eaa daa aa dac aaa aac aaf aaa eaa aa aaa aa eaa aaa aaf dac faad dad eaaf fac faa fdaaaaa f aa eaaaaaaac aac fcaaaaaade eaa eaaaaaaac aa caaaaaade aaf edaaaaaac dad caaaaaaae faa edaaaaaacf aa caaaaaaae aae fdaaaaaadf caaaaaaaae aaaadf ee ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#469006ff b,#05af2cff c,#7fca7fff d,#64a22fff e,#b4deb0ff f,#e0f1deff g,#3ec15cff ``` ```image c ebb fgbbb cbbbbb egbbbbbb fgbbbbbbbc ebbbbbbbgf fgbbbbbbbe cbbbbbbbc ebbbbbbbgf fgbbbbbbbe cbbbbbbbcf egbbbbbbge fcbbbbbbbc ebbbbbbbgf fgbbbbbbbe fee cbbbbbbbc faaac ebbbbbbbgf caaaae fgbbbbbbbe daaaaae bbbbbbbcf faaaaaaaf bbbbbge eaaaaaaaaf bbbbc caaaaaaaadf bbgf daaacdaaaadf be faaaaefdaaaad eaaaaf faaaaad caaad faaaaac daaac eaaaaac faaaae eaaaaa eaaaa eaaaa ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#469007ff b,#03af2bff c,#83c97eff d,#6ea83cff e,#b9ddb0ff f,#dcefdaff g,#31bd52ff ``` ```image fbg ebbc cbbe cbbe gbbf gbbf gbb bbc ebb bbg bb gbb bbe cbb bbc ebb bbg bb gbb bbe cbb bbc fbb bbg bb gbc gbb fbbbg bbe bbbbf cbb cbbbc bbc fbbbb fbb gbbbe bbg ebbbg bbf bbbb gbb cbbbc bbe fbbbg cbb bbbbf bbc cbbbc fbb fbbbb bbg gbbbe f bbf ebbbg caa gbb bbbbf aa bbe cbbbc aa cbb fbbbg e dac bbc gbbbf caa eaa fbb cbbbc aaaa aa bbg fbbbb aaaaa aae bbf gbbbe faafaad cad gbb ebbbg cad faac aa bbe bbbbf aae eaac aa cbb cbbbc aa caae aac bbc fbbbg faa daaf eaa fbb gbbbf dad daa aa bbg cbbbc aae aaa aae bbbbbb aa aaa cad gbbbe faa aaa aa bg dad aaa aa aaf aad aac aa faad eaa eaa eaac aa dad eaae aaf aaf caaf dad aa daaf faa eaa daa aa dac aaa aac aaf aaa eaa aa aaa aa eaa aaa aaf dac aad dad eaa fac faa fdaaaaa f aa eaaaaaaac aac caaaaaadf eaa eaaaaaaac aa caaaaaade aaf edaaaaaac dad caaaaaade faa edaaaaaac aa caaaaaaae aae fdaaaaaacf caaaaaaaae aaaadf ee ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. 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,#f0b9b5ff b,#fa918cff c,#b1d7b1ff d,#f4d6d4ff e,#f5f0edff f,#96c996ff g,#d2a49dff ``` ```image d g dg gd gg g eggga eg aa ggd aa gd eggd g g egge g g dgg ag g agg ge dg aga g aa ggd dg ge eggd gd g egge g g dgge eg eg dgg ga dg aga g gd gga g ge ggd ag e egge ge dgge g dgg dg agg efffffffffffffffffffffc gd gga ecccccccccccccccccccccf g ggd ecccccccccccccccccccccfeg eggd ecccccccccccccccccccccfga eggeecccccccccccccccccccccfg dggcccccccccccccccccccccfg aggcccccccccccccccccccga ecgggcccccccccccccccccge ecccgggcccccccccccccccg ecccccggcccccccccccccgg ad ecccccccggcccccccccccgf ebbbbbbad ecccccccccggcccccccccgf aa dabbbbbad eccccccccccgggcccccccgf be dabbbbbad eccccccccccccgggccccggf b dabbbbbad eccccccccccccccgggccgcf db dabbbbbad eccccccccccccccccggggcf ba dabbbbbggccccccccccccccccggcf b dgbbbbbggcccccccccccccf b eccccccgbbbbbggcccccccf ab eccccccccccccgbbbbbbgcf bd eccccccccccccccccccgbbbbbade b ecccccccccccccccccccccf dabbbbba eb efffffffffffffffffffffc da aa b b db bd b eb aa be b db bd b eb aa be b db ba b b ab bd b db ba b b ab bd b eb aa be ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#debab6ff b,#fb918cff c,#f0d0cdff d,#fba9a5ff e,#f8e7e6ff f,#fcbcb9ff g,#d2a19cff ``` ```image gc gggc agggge eagggae eagggae egggga cggggc cggggc e agggge c eagggae a eagggae g eagggae cg cggggc ag cggggc gg cggggc egg eagggae aga eagggae ggc eagggae egge cggggc cgg cggggc aga cggggcgge eaggggg bbdfce eagga bbbbbbbbdfce ec ecfdbbbbbbbbbbdfce eecfdbbbbbbbbbbdfce eecfdbbbbbbbbbbdfce eecfdbbbbbbbbbbdfce eecfdbbbbbbbbbbdfce eecfdbbbbbbbbb eecfdbbb ee ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#dab3afff b,#fb918cff c,#e7c8c5ff d,#f7d9d7ff e,#f8edecff f,#fbb3afff g,#d2a09cff ``` ```image c g dg gc ga g egagc eg ca ggc ac gd eggd g g egge g g dgg ca g cga ge dg aga g ac ggc dg ge ggd gd g egge g g dgg eg eg cgg ac ca aga g ac agc g ge ggd ca e egge ge dgge g cgg dg cga gd agc g ggc eg eggd ac egge g dgg g cga aa aga ge ggc g eggd cg fd egge gd bbbbbbfd dgg g ff dfbbbbbfd cga dg be dfbbbbbfd aga gc b dfbbbbbfd agc g db dfbbbbbfd ggcg bf dfbbbbbfd ega b dfbbbbbfd b dfbbbbbfde fb dfbbbbbfde bd dfbbbbbfde b dfbbbbbf eb df ff b b cb bd b eb ff be b db bd b eb ff be b db bc b b fb bd b db ff b b cb bd b eb ff be ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#5635f4ff b,#c473d6ff c,#bfa5f5ff d,#826bf5ff e,#b235cdff f,#e6d8f9ff g,#acd3adff ``` ```image feeb ceeeee beeeeec eeeeeef feeeeeb gggggggggggggggg beeeeec gggggggggggggggg eeeeeef gggggggggggggggg feeeeeb gggggggggggggggg beeeeec ggggggggggggggggeeeeeef ggggggggggggggeeeeee gggggggggggbeeeeeb gggggggggeeeeeeg gggggggeeeeeeggg ggggbeeeeebggggg ggeeeeeegggggggg feeeeeegggggggggg ceeeeebgggggggggggg beeeeebgggggggggdgggg feeeeeefggggggggggaaaggg ceeeeeb gggggggggaaaaagg beeeeec gggggggdaaagaaag feeeeeef ggggggdaaagggaaa ceeeeeb gggggaaaagggggaaa beeeeec aaad caaa eeeeeef aaad caaa beeeeb faaac daaa feeeec caaaf daaa beeee caaa daaa feeeef daaa daac eeeeb aaaa aaa beeee aaad faaf feeeef aaad aaa eeeeb faaac caa ceeeef caaaf aad eeeeb caaa daa beeee aaa aac feeeef faaf aaa eeeeb aaa faaf fee faaf aaa c aaa caa aac aad aaa daa aac aac daa aaa aad faaf daa aaa aad caa caa aad aaa daa caa aac aaa aaa faaf faaf aaa aaa faaf caa aaa aad aac daa aaa aac aac aaa daa faaf aad aaa daa caa aad aad caa daa aaa aac caaa aaa daaaf faaf aaaa aaa caaad caa aaaaf aad faaaa daa caaad d aaaaf faaaa daaac aaaaf faaaa daaac aaaa aaad ac ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#5534f5ff b,#c76cdaff c,#dba6e9ff d,#7f66f7ff e,#b235cdff f,#e8d5f7ff g,#a695f9ff ``` ```image fce fbeee cbeeeee fceeeeeeee fbeeeeeeeeee cbeeeeeeeeeebf fceeeeeeeeeeebf fbeeeeeeeeeeec cbeeeeeeeeeebc ceeeeeeeeeeebf fbeeeeeeeeeeec cbeeeeeeeeeebc ceeeeeeeeeeebf eeeeeeeeeeec eeeeeeeebc eeeeeebf eeeecf ebc gdg f daaad fdaaaaad faaaaaaaad caaaaaaaaaad gaaaaaaaaaaaad gaaaaaadfaaaaaag daaaaaad faaaaaag daaaaaag faaaaaa fdaaaaaag faaaaa ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#5635f5ff b,#c568d9ff c,#dba1e7ff d,#826af7ff e,#b235cdff f,#e6d9f9ff g,#b5a7faff ``` ```image feeb ceeeee beeeeec eeeeeef ceeeeeb beeeeec eeeeeef feeeeeb ceeeeec beeeeef feeeeeb ceeeeec beeeeef feeeeee ceeeeeb beeeeec feeeeee ceeeeeb beeeeec d feeeeeef faaa ceeeeeb gaaaaa beeeeec gaaafaaa feeeeeef daaa faaa ceeeeeb aaaa gaaa beeeeec aaad gaaa eeeeeef aaad gaaa ceeeeb faaag gaaa feeeec gaaaf daaa beeee gaaa daaa ceeeef daaa daag eeeeb aaaa aaa beeee aaad faaf feeeec aaad aaa eeeeb faaag gaa ceeeef gaaaf aad eeeec gaaa daa beeee aaa aag feeeef faaf aaa eeeeb aaa faaf fee faaf aaa c aaa gaa aag aad aaa daa aag aag daa aaa aad faaf daa aaa aad gaa gaa aad aaa daa gaa aag aaa aaa faaf faaf aaa aaa faaf gaa aaa aad aag daa aaa aag aag aaa daa faaf aad aaa daa gaa aad aad gaa daa aaa aag gaaa aaa daaaf faaf aaaa aaa gaaad gaa aaaaf aad faaaa daa gaaad d aaaaf faaaa daaag aaaaf faaaa daaag aaaa aaad ag ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#d7239aff b,#acccb1ff c,#e887c7ff d,#f2bce0ff e,#df52afff f,#f1ebeeff g,#cbdfcfff ``` ```image fc faaae aaaaaaaf aaaaaaaaad aaaacaaaaaaad aaac daaaaaaa eaaa daaaaae aaac faaaa eaaa caaa aaac daaa eaaa daaa aaac faaa eaaa aaa aaac aaa eaaa aaaf aaae aaad eaaa aaac aaae aaac caaa eaae aaae eaaa caaa caaa aaae daaa caaa daaa aaae aaa caaa aaa aaae aaa caaa aaaf aaaa aaad daaa aaac aaaa aaac daaaf eaae aaaa eaaa daaaf caaa ecdf aaaa daaa aaaaaaaaecd daaaf faaa aaaaaaaaaaaaaaaaaeecccddff aaaa aaa eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeccddff daaaf aaa fdeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaa dcceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaf fddccceeaaaaaaaaaaa aaad aaac aaac eaae caaa caaa daaa faaa aaa aaa aaa g aaaf gbb aaad fbbbbg aaac bbbbbb aaae fbbbbbf eaae bbbbbb caaa gbbbbbf caaa bbbbbg daaa gbbbbb faaa fbbbbbg aaa bbbbbb aaa fbbbbbf aaa bbbbbb aaad gbbbbbf bbbbbg gbbbbb fbbbbbg bbbbbb fbbbbbf bbbbbb gbbbbb bbbbbg bbbbbb fgbbb fbbbbbg fgbbbbbbbbb bbbbbb ggbbbbbbbbbbbbbbf gbbbbbf fgbbbbbbbbbbbbbbbbbbgf bbbbbg fgbbbbbbbbbbbbbbbbbbgf gbbbbb fgbbbbbbbbbbbbbbbbbbgf fbbbbbgfgbbbbbbbbbbbbbbbbbbgf bbbbbbbbbbbbbbbbbbbgf fbbbbbbbbbbbgg bbbbbgf ``` <!-- end of image -->
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This image seems promising for intersection detection. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#b603c4ff b,#b42c58ff c,#e8b7e1ff d,#c25c7cff e,#c84bd2ff f,#afd6afff g,#ce90a6ff ``` ```image bbd cbbbbbbd gbbbbdcbbbbbc dbbbbg bbbbbg cbbbbbc dbbbbg gbbbbb gbbbbd dbbbbg cbbbbb cbbbbbc bbbbbc gbbbbb dbbb dbbbbd g cbbbbbg gbbbbbc dbbbbd bbbbbg cbbbbbc gbbbbd bbbbbg cbbbbbc gbbbbd dbbbbg cbbbbbc gbbbbb dbbbbd cbbbbbc gbbbbb dbbbbd gbbbg dbd bbg bbc bb bb bb caec bb aaaaaaaec bb caaeaaaaaaaaaec cbb aae ceaaaaaaaaaec gbb caa ceaaaaaaaaaec gbd aae ceaaaaaaaaaec dbg aa ceaaaaaaaaaec bbg aae ceaaaaaaaaaec bbc aa ceaaaaaaaaaec bb aaa ceaaaaaaaaaec bb aa ceaaaaaaaaaec bb eaa ceaaaaaaaaaec bb aa ceaaaaaaa bb eaa ceae cbb aac gbb eaa gbd aac dbg caa bbg aae bbc caa bb aae ffffbbffffff caa ffffbbffffff aae ffffbbffffff aa ffffbbffffff aaa fffgbbffffff aa fffgbbffffffeaa fffdbdffffffaa fffdbdfffffeaa fffbbgfffffaac fffbbfffffeaa fffbbfffffaac fffbbffffgaa fffbbffffaag fffbbfffgaaf fffbbfffaaef ffgbbffgaaff ffgbbffaaeff fffffffaafff ffffffaaafff ffffffaaffff fffffaaaffff aa eaa aa eaa aac eaa ec ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#b604c4ff b,#b42c58ff c,#de8ee4ff d,#c66082ff e,#cc51d6ff f,#eecce2ff g,#db9aafff ``` ```image gbbbb gbbbd dbbbd dbbbd dbbbg bbbbg bbbbg bbbbf fbbbbf fbbbbf gbbbb gbbbb gbbbd dbbbd dbbbd f dbbbg e bbbbg fa bbbbg ea bbbbf faa fbbbbf eaa fbbbbf aaa gbbbb caaa gbbbb aaaa gbbbd caaaa dbbbd aaaaa dbbbd caaaac dbbbg aaaaa bbbbg caaaac bbbbg eaaaa bbbbf faaaae fbbbbf eaaaaf fbbbb faaaae gbbbb eaaaaf fdbbb faaaae eaaaaf aaaae caaaaf aaaae caaaac aaaaa caaaac ``` <!-- 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.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b603c4ff b,#b42c59ff c,#e4a3e9ff d,#c65f80ff e,#ca48d4ff f,#edccdeff g,#d996acff ``` ```image bbd fbbbbbbd gbbbbdfbbbbbf dbbbbg bbbbbg fbbbbbf dbbbbg gbbbbb gbbbbd dbbbbd fbbbbbf fbbbbbg fbbbbbf gbbbbbf dbbb dbbbbd gf fbbbbbg gbbbbbf dbbbbd fbbbbbg gbbbbbf dbbbbd bbbbbg fbbbbbf gbbbbd dbbbbg fbbbbbf gbbbbb dbbbbd fbbbbbg gbbbbbf dbbbbd gbbbg dbd bbg bbf bb bb bb faec bb aaaaaaaec bb caaeaaaaaaaaaec fbb aae ceaaaaaaaaaec gbb faa ceaaaaaaaaaec gbd aae ceaaaaaaaaaec dbd aa ceaaaaaaaaaec bbg aae ceaaaaaaaaaec bbf aa ceaaaaaaaaaec bb aaa ceaaaaaaaaaec bb aa ceaaaaaaaaaec bb eaa ceaaaaaaaaaec bb aaf ceaaaaaaa bb eaa ceae fbb aaf gbb caa gbd aac dbg caa bbg aac bbf faa bb aae bb faa bb aae bb aa bb aaa fbb aa gbb eaa dbd aa dbg eaa bbg aaf bbf eaa bb aac bb caa bb aac bb caa bb aae fbb faa fbb aae aa aae aa aaa aa eaa aaf eaa aaf caa ec ``` <!-- end of image -->
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