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oliveirabruno01
/
intersection-count-pixmap-CoT

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I'm analyzing this image to identify any points where lines intersect. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#aada63ff b,#d5acfaff c,#c9e79cff d,#ead6fcff e,#e5f3cfff f,#b1d7b1ff g,#98cb94ff ``` ```image d bbbb dbbbbbbd dbbbbbbbbb dbbbbbbb bbbb dbbbbbbb bbbb dbbbbbbb dbbbd dbbbbbbb bbbb bbbbbbbd bbbb bbbbbbbd dbbbd bbbbbbbd bbbb bbbbbbbd bbbb bbbbbbbd bbbb bbbbbbbd dbbbd dbbbbbbb bbbb dbbbbbbb bbbb dbbbbbbb dbbbd dbbbbbbb bbbb bbbbbbb bbbb bbbbb bbbb dbd dbbbd bbbb bbbb dbbbd bbbb bbbb bbbb dbbbd bbbb bbbb bbbb bbbb bbbb bbbb dbbbd bbbb bbbb bbbb dbbbd bbbb bbbb aae dbbbd aaaaac bbbb aaaaaaaa bbbb aaaaaaaaaac bbbb caaa caaaaaaaa dbbbd aaae eaaaaaaaae bbbb aaa caaaaaaac bbbb caaa eaaaaaaaae dbbbd aaac aaaaaaaac bbbb aaa caaaaaaaa bbbb eaaa eaaaaaaaae bbbb aaaa caaaaaaac fggbbbbfggggggggg aaae eaaaaaaaae gfffbbbbfffffffff aaa aaaaaaaac gffffbbbbffffffff caaa caaaaaaaa gfffffbbbbfffffff aaac eaaaaaaaae gfffffbbbbfffffff aaa caaaaaaac gffffffbbbbffffff eaaa eaaaaaaaae gfffffffbbbbfffff aaac caaaaaaac gfffffffbbbbfffff aaa eaaaaaaaa gffffffffbbbbffff eaaa aaaaaaaae gfffffffffbbbbfff caaa caaaaaaac gffffffffffbbbbff aaae eaaaaaaaaegffffffffffbbbfff aaa caaaaaaagffffffffffbffff caaa eaaaaaaaafffffffffffff aaac aaaaaaaagffffffffff aaa aaaaaaaaaffffffff eaaa gffaaaaaaaaffffff aaac gffffaaaaaaaaafff aaae gffffffgaaaaaagff aaa eaaaa caaa ca aaae aaa caaa aaac aaa eaaa aaaa aaae aaa e ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#aada62ff b,#d5abfbff c,#d4ebafff d,#f3e7fdff e,#e9f5d7ff f,#bee288ff g,#e4cafcff ``` ```image gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbbg gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbbg gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbbg gbbbbbbbd bbbbbbbb dbbbbbbbg gbbbbbbg bbbbbg c dbbbd aace dg aaaafe aaaaaaac aaaaaaaaafe aaaaaaaaaaafc aaaaaaaaaaaaaace caaaaaaaaaaaaaaafe cfaaaaaaaaaaaaaaac efaaaaaaaaaaaaaaafe caaaaaaaaaaaaaaafc efaaaaaaaaaaaaaaace ecaaaaaaaaaaaaaaaf cfaaaaaaaaaaaac ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#aada62ff b,#d5abfbff c,#d3ecafff d,#f0e2fdff e,#e9f5d6ff f,#bfe289ff g,#e2c6fbff ``` ```image d dbbbb dbbbbbbg dbbbbbbbbb dbbbbbbb bbbb gbbbbbbb bbbb gbbbbbbb gbbbd gbbbbbbg bbbb gbbbbbbg bbbb bbbbbbbg dbbbg bbbbbbbg bbbb bbbbbbbd bbbb bbbbbbbd bbbb dbbbbbbbd gbbbd dbbbbbbbd bbbb dbbbbbbb bbbb dbbbbbbb dbbbg gbbbbbbb gbbb dbbbbbbg bbbb bbbbg bbbb dbg gbbbd bbbb bbbb dbbbg gbbbd bbbb bbbb dbbbd bbbb bbbb dbbbg gbbbd bbbb bbbb dbbbd bbbb bbbb dbbbg gbbbd bbbb bbbb aae dbbbg aaaaaf bbbb aaaaaaaae bbbb aaaaaaaaaac bbbg faaa caaaaaaaf gbbbd aaac eaaaaaaaae bbbb aaa faaaaaaaf bbbb caaa eaaaaaaaae dbbbg aaaf faaaaaaac bbbb aaa caaaaaaaf bbbb eaaa eaaaaaaaae bbbb faaa faaaaaaaf gbbbd aaae eaaaaaaaae bbbb aaa faaaaaaac bbbb faaa caaaaaaaf dbbbg aaac eaaaaaaaae bbbb aaa faaaaaaaf bbbb caaa eaaaaaaaae bbbb aaaf faaaaaaac gbbbd aaae caaaaaaaa bbbb eaaa eaaaaaaaac bbbb faaa caaaaaaaf dbbbg aaae eaaaaaaaae bbb aaa faaaaaaac g caaa caaaaaaaa aaac aaaaaaaac aaa caaaaaaaf eaaa eaaaaaaaae aaaf faaaaaaac aaae caaaaaac eaaa aaaa faaa cf aaac aaa caaa aaaf aaa eaaa aaaf aaae aaa e ``` <!-- end of image -->
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This image seems promising for intersection detection. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#669c3bff b,#a6d4ccff c,#99c68fff d,#d3e6d8ff e,#83af60ff f,#b1d7b0ff g,#eff6efff ``` ```image bd gbbbb gbbbbd bbbbb dbbbbg bbbbd dbbbbg gbbbbd dbbbb gbbbbd dbbbbdg gbbbbbbd fccccccccccccccccccg dbbbbbdg cffffffffffffffffffg gbbbbbbd cffffffffffffffffffg dbbbbbdg cffffffffffffffffffg gbbbbbbd cffffffffffffffffffg dbbbbbdg cffffffffffffffffffg gbbbbbbd cffffffffffffffffffg dbbbbbdg cffffffffffffffffffg gbbbbbbfffffffffffffffffffg dbbbbbbfffffffffffffffg cbbbbbbffffffffffffg cffffbbbbbbffffffffg cfffffffbccbbbfffffg cfffffffeaabbbbbbbfg cffffffeaaaffffbbbbbbd cfffffcaacacfffffffbbbd cffffcaaffaafffffffg g cfffcaafffaafffffffg cffcaaffffeafffffffg cfcaafffffcacffffffg ccaafffffffaaffffffg caaffffffffaaffffffg gaafffffffffeaffffffg gaacfffffffffcacffffcg gaadgggggggggggaeggggg aad aa aad ea aad fad aaf ae aaf aa aaf aa aac fad aac ac aae aa aae aa eae fag eae ac eae aa eaa aa dac eaa cag aa caa gac dac caa aa aa caa aa fac faa ca aa faa gaf faf daa aa aa daa aa faf daa ca aa daa daf cad gaag aa aa gaag aa cad gaag ea aa gaag daf ead aad ae aa aad aa eag aad ea aa aaf dad eag aaf ae aa aaf aa eag aac ea aa aac fad aa aac ac gae aae aa aae gae eae aa eae gaeeaa aaaa daa d ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#669c3aff b,#a5d4ccff c,#98bd7eff d,#c8e2d7ff e,#7fac5bff f,#b5cfa3ff g,#e5f1eaff ``` ```image gg bbbdg bbbbbbdgg bbbbbbbbbbdg gddbbbbbbbbbbdgg gdbbbbbbbbbbbdg gddbbbbbbbbbbdgg gdbbbbbbbbbbbdg gddbcecbbbbbbdg caaafbbbbbbbbbdg caaaafddbbbbbbbbbbdg faaaaac gdbbbbbbbbb faaaaaaa gddbbbbb faaaaeaaag gdbb faaaafgaaaf g faaaaf aaac faaaaf caaa daaaaf faaag daaaac gaaaf daaaac aaac daaaac caae daaaac faaag daaaac daaaf gaaaac aaac gaaaae eaae geaaae faaag geaaae daaad eaaaeg aaac aaaeg eaae aaeg faaag ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#669c3bff b,#a8d5cdff c,#9cbf83ff d,#d8e9dcff e,#80ac5bff f,#c1d7afff g,#eef5f0ff ``` ```image bd gbbbb gbbbbd bbbbb dbbbbg bbbbd dbbbbg gbbbbd dbbbb gbbbbd bbbbbbg gbbbbbbd dbbbbbbg gbbbbbbd dbbbbbbg gbbbbbbd dbbbbbbg gbbbbbbd dbbbbbbg gbbbbbbd dbbbbbbg gbbbbbbd dbbbbbbg gbccbbbd caadbbbbbbg faaa gbbbbbbd faadaf dbbbd faa aa g faa aa daa ca daa daf daa ae gaag aa gaag ea gaag daf gaad ae aad aa aad ea aaf fad aaf ae aaf aa aaf ea aac fad aac ac aac aa aae aa eae fag eae ac eae aa eaa aa dac caa cag aa caa gac fac caa aa aa caa aa fac faa ca aa faa gaf faf faa aa aa daa aa faf daa ca aa daa daf caf gaag aa aa gaag aa cad gaag ca aa gaad daf cad aad ae aa aad aa eag aaf ea aa aaf daf eag aaf ae aa aaf aa eag aac ea aa aac fad aa aac ac gae aae aa eae gae eae aa eae daeeae aaaa daa d ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#01324eff b,#8fd494ff c,#b0d6b2ff d,#d5edddff e,#40e553ff f,#75929bff g,#30586eff ``` ```image dcbeeeee dcbeeeeeeeeeeeee dbeeeeeeeeeeeeeeeeeebd dcbeeeeeeeeeeeeeeeeebcd dcbeeeeeeeeeeeeeeeeebcd eeeeeeeeeeeeebcd eeeeebbd eeed deeed bbbbeeebbbbbbbbc ccbeeecccccccccb ceeeeccccccccccb eeeecccccccccccb eeeeccccccccccccb eeebcccccccccccccb eeebccccccccccccccb deeedcccccccccccccccb ceee ccccccaaaagfcccb beee cccccfaaaaaaagcb eeee cccccaaabgaaaaaac eeeb ccccfaacccccfaaaaaf eeeb ccccaaaccccccccaaaaag eeed cccbaacccccccccb faaaaac ceeed cccaaacccccccccb caaaaaf eeee ccbaaccccccccccb gaaaagd ee deeee ccaaaccccccccccb faaaaac eeeec beeed ccaabccccccccccb caaaaaf ceeeed eeee caaacccccccccccb gaaaaad beeee deeeb baabcccccccccccb faaaaac eeeeb eeeed aaaccccccccccccb caaaaag deeeeeee daafbbbbbbbbbbbbc gaaaaad beeec aaa faaaaaf b aac daaaaag gaa gaaaaad aac faaaa gaa daf aac gaa aaf gaa aaf faa aaf faa aaf faa aaf faa aag faa aag caa aag caa aag caa aag daa aaa daa aaa daad aaa daad aaa aad aaa aad gaa aac gaa daaac faaac aaaa caaag gaaad aaaa faaaf aaaa aaag ad ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#01324eff b,#8bee96ff c,#a8b8c2ff d,#d7eadfff e,#40e553ff f,#6d8999ff g,#395f75ff ``` ```image deeeeeeb beeeeeeb beeeeeeb beeeeeed beeeeeed deeeeeeed deeeeeeed deeeeeeb eeeeeeb eeeeeb eeeeb eeed eed ed faagfcd caaaaaaaagfc gaaaaaaaaaaaagc caaaaaaaaaaaaaaagc gaaaaaaaaaaaaaaaaaa caaaag dcfgaaaaaaaaa gaaaac cfaaaaaa caaaaa cgaaa gaaaac dfa daaaaa d gaaaaf daaaaa gaaaaf daaaaa faaaaf daaaaad faaaaf daaaaad faaaaf daaaaad faaaaf daaaaad faaaaf daaaaad faaaaf aaaaad faaaag ``` <!-- end of image --> No intersection in area A, but I'll keep looking. 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,#00314eff b,#8bef97ff c,#a8b8c2ff d,#d2ebdaff e,#40e553ff f,#658294ff g,#234d66ff ``` ```image ddbeeeee dbbeeeeeeeeeeeee dbbeeeeeeeeeeeeeeeeebd ddbeeeeeeeeeeeeeeeeebbd dbbeeeeeeeeeeeeeeeeebbd eeeeeeeeeeeeebd eeeeebbd eeed deeed deee beee beee eeee eeeb eeeb eeed deee beee aaaagc beee caaaaaaag eeee aagdfaaaaaac eeeb caa caaaaaf eeeb aag gaaaag eeed daa faaaaac beeed aaa caaaaaf eeee daa gaaaagd ee deeee aaa faaaaac eeeeb beeed daad caaaaaf deeeed eeee aaa gaaaagd beeee deeeb aad faaaaac eeeeb eeeed aaa caaaaaf deeeeeee aad gaaaaad beeeb gaa faaaaac b aac daaaaaf gaa gaaaaad aac faaaa gaa dac aac gaa aac faa aaf faa aaf faa aaf faa aaf faa aaf caa aag caa aag caa aag caa aag daa aaa daa aaa daad aaa daad aaa aad gaa aad gaa aac gaa daaac faaac aaaa caaaf gaaad aaag faaac aaaa gaag ad ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f4459ff b,#c8c65eff c,#95b89eff d,#e1e1cdff e,#bcad0eff f,#60737fff g,#b1d7b1ff ``` ```image c aa aaaf addad fa fa ad aa fa af ag dad fa fa ag aa fa af ag gad fa fa ac aa fa ac ac cad ca fa ac aa ca ac ac ca ca aa af aa ca dac af ca ga aa af af ga dag af fa da aa af af da dag aa fa da aa aa af da dad aa fa da aa aa af a gad aa fa ad aa aa af ad gad aa dee fa ad bebee aa fa bed eed ac ad eed beb cad ee dee aa ee ee aa dee eed ac dee beb ca beb dee aa bed ee aa eed eed dac ee beb cgggggggggfacgggggggggggggggggggc ee deegggggggggggaagggggggggggggggggggc dee eegggggggggggaaggggggggggggggggggc dee eeggggggggggcacgggggggggggggggggc beb geebgggggggggfagggggggggggggggggc bed ggbeegggggggggaaggggggggggggggggc eed ggggeegggggggggafgggggggggggggggc ee gggggeeggggggggcacggggggggggggggc ee ggggggeebgggggggfaggggggggggggggc dee gggggggbeegggggggaagggggggggggggc dee gggggggggeegggggggafggggggggggggc beb ggggggggggeeggggggcacgggggggggggc bed gggggggggggeebgggggfagggggggggggc eed ggggggggggggbeegggggaaggggggggggc ee ggggggggggggggeegggggafgggggggggc ee gggggggggggggggeeggggcacggggggggc dee ggggggggggggggggeebgggaaggggggggc deb gggggggggggggggggbeegggaagggggggc beb gggggggggggggggggggeegggafggggggc ed ggggggggggggggggggggeeggcacgggggc gggggggggggggggggggggeebgaagggggc ggggggggggggggggggggggbeegaaggggc ggggggggggggggggggggggggeegafgggc gggggggggggggggggggggggggeefagggc ggggggggggggggggggggggggggeeagggc gggggggggggggggggggggggggggbebggc ggggggggggggggggggggggggggggggggc ggggggggggggggggggggggggggggggggc ggggggggggggggggggggggggggggggggc ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#30445aff b,#cec24bff c,#aab2baff d,#e2db96ff e,#bcad0bff f,#697887ff g,#e7e7d9ff ``` ```image caaag faaa faaf g gaaac ed caaag eeb faaf eeebg faaf deeeeg gaaac geeeed caaag beeeb faaf deeebg aaaf deeeeg gaaac geeeed caaag beeeb faaf deeeb aaac deeeeg gaaac geeeed caaag beeed faaf beeeb aaac deeeeg gaaag geeeed caaag beeed faaf beeeb gaaac deeeeg gaaag geeeed caaa gbeeed faaf beeeb gaaac deeeeg caaag geeeed caaa gbeeed faaf beeeb gaaac deeebg caaag geeeed faaf gbeeed faaf beeeb gaaac deeebg caaag geeeed faaf gbeeed faaf beeeb gaaac deeebg caaag geeeeg faaf gbeeed aaac beeeb gaaac deeebg caaag deeeeg faaf gbeeed aaac beeebgaaag deeebcaaag deeeefaac gbeeeag beeeb deeed deb g ``` <!-- end of image --> There is no intersection present within 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,#2e4359ff b,#cec34eff c,#9da6b0ff d,#e3dd9bff e,#bcad0bff f,#5e6e7eff g,#dfe1daff ``` ```image c aa aaaf aggag fa fa ag aa fa af ag gag fa fa ac aa fa af ac cag fa fa ac aa fa ac ac cag ca fa ac aa ca ac ac cag ca aa af aa ca gac af ca ca aa af af ca gac af ca ga aa af af ga gag af fa ga aa aa af ga gag aa fa ga aa aa af ag gag aa fa ag aa aa ac ag cag aa dee fa ag debee aa fa bed eed ac ag eeg beb cag ee gee aa ee ee aa gee eed ac deb beb ca deb dee aa bed ee af eeg eeg gac ee beb ca ee dee aa gee ee af deb eeg gac deb beb fa bed dee aa eeg ee af ee eeg gag ee beb fa gee dee aa deb ee af beb eeg gag bed bed fa eeg dee aa ee ee af ee eeg cag gee bed fa deb deb aa beb gee ac ed eeg cag bed fa deb aa gee ac eecag eef ded g ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#1925b6ff b,#75f153ff c,#a6ace1ff d,#99dd8eff e,#5b66c7ff f,#e8f2ebff g,#b1d9b0ff ``` ```image f ae faa eeea af a a ea ee af af ca a af ee ca af ac a ca ea ac af ca a ac ea fa af ac a fa ea ae ac fa a ae ca a ac ae a a ca ee ac a ff a ea fceeeaaaaaaaaaaadd ca a fcceeaaaaaaaaaaaaaeeecggggggggggf ac eaccceeaaaaaaaaaaaaeeccf dgggggggggggggggf a aaaeeeccf dgggggggggggggggf ca dgggggggggggggggf ac dgggggggggggggggf a dgggggggggggggggf ca dgggggggggggggggf ac dgggggggggggggggf a dgggggggggggggggf ca dgggggggggggggggf ac dgggggggbgggggggf a dgggggbbbgggggggf ca dgggdbbgbdggggggf ac dgdbbgggdbggggggf a dbbdgggggbggggggf ca bbdgggggggbggggggf ac dbddggggggggbggggggf a gbb dggggggggbdgggggf ca fbbf dggggggggdbgggggf ac bbg dggggggggdbgggggf a dbd dgggggggggbgggggf ee gbb dgggggggggbgggggf af fbbf dgggggggggbdggggf ca bbf dgggggggggbbgggdf ac bbd fffffffffgbffff a dbb b ee fbb b a fbbf bf ca bbg bd ac dbd gb a gbb b ee fbbf b a bbg bf bbd bg gbb gb fbb fb fbbf b bbg b dbd gbb fbbf bbg dbd gbb fbbf bbf bbg dbd gbb fbbf bbg dbd bb ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#1622b6ff b,#75f253ff c,#7f86d6ff d,#a6f690ff e,#464fc5ff f,#d2fac7ff g,#babee9ff ``` ```image ggggcccceeeaaaaae ggccceeeeaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaeeeecccgggg aaeeeccccgggg dbf fbbbb fdbbbbb dbbbdfbbf dbbbbf bbf fbbbbf dbd fbbbbd dbb fdbbbdf fbb dbbbbf bbf fbbbbf bbf bbbd dbd bd dbb f fbb fbbf bbf bbd dbd fbb fbb bbf bbd dbd dbb fbb bbf bbd ``` <!-- 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,#1824b7ff b,#74f252ff c,#969bddff d,#a2f68bff e,#565ecaff f,#d0fac4ff g,#c9cbedff ``` ```image g ae aa eeea ag a a ea ee a ag ca a ag ee ca ag ag a ca ea ag ag ga a ac ca ga ag ac a ga ca ac ag a a ae ca a ag ae a a ca ee ag a g a ea ggcceeaaaaaaaaaa ca a ggceeaaaaaaaaaaaaeeccg ag eagcceeaaaaaaaaaaaaeecgg a aaaeeccgg ca ac a ca ac a ca ac b a dbb ca dbb bf ac fbb db a bbf b ga bbd b ac dbd b a fbb bf ga bbf dd ac bbf fb a dbd b ee fbb b a fbb bf ga bbf dd ac bbd fb a dbb b ee fbb b a bbf bf ga bbf dd ac dbd fb a fbb b ee fbb b a bbf b dbd bf dbb db fbb b bbf b bbd b dbd fbb bb bbf dbd dbb fbb bbf bbd dbd fbb bbf bbf dbd bb ``` <!-- end of image -->
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This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ce4aceff b,#5f7a54ff c,#b9c5b4ff d,#be0fbeff e,#e5a2e5ff f,#8da085ff g,#e9e2e8ff ``` ```image gee geeaadddddddddddd eeeaadddddddddddaaeeeg adddaaeeg gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade gdd ade dd ade dd de c bb cbf bbg gbf bbg gbb fbg gbb fbc gbb fbc bb bbc gbbf gbbc gbbc cbbc cbbg cbbg fbbg fbb fbb bbf bbf gbbf gbbc gbbc cbbc cbbg cbbg fbbg fbb fbb bbf bbf gbbf gbbc gbbc cbbc cbbg cbbg bbg ``` <!-- end of image -->
[ "" ]
No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c24fd7ff b,#c5a647ff c,#e7dbb5ff d,#e2adecff e,#f4e6edff f,#d7c382ff g,#d17be1ff ``` ```image dag aaaa eaaaaad gaaaedaa ad aaaa aad gaae daaad gaa aaa gaaa aae aaa eaaag aaa aag daaae aa daad aaaa aag gaae eaaad eaa aaa gaaa aag aaa aaag daa aag daaae aad eaad aaaa gaa gaae eaaad aae aaa gaaae gaa aaa aaag aa aaa daaad aaa eaad aaaa eaa daae eaaag aag aaa gaaae daa aaa aaaa aad aaa daaad daa eaag aaaa aae daae eaaag gaa gaa gaaae aae aaa aaaa aaa aaa daaad eaa eaag gaaa aag daadaaag eaa gaaaae aad aaa daa e d ece bbe cbb bbbbbc fbf bbbbbf bbf fbbbbbe bbc cbbbbbc bb ebbbbbf bb fbbbbbe bb cbbbbbc ebb ebbbbbf cbb fbbbbb fbb cbbbbbc bbf ebbbbbf bbc fbbbbb bbe cbbbbbe bb ebbbbbc bb fbbbbf bb cbbbbbe cbb ebbbbbc cbb bbbbbf fbf fbbbbbe bbf cbbbbbc bbc bbbbbf bb fbbbbbe bb cbbbbbc bb ebbbbbf ebb fbbbbbe cbb cbbbbbc fbb ebbbbbf bbf fbbbbb bbc cbbbbbc bbe ebbbbbf bb fbbbbb bb cbbbbbb ebbbb fe ``` <!-- 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,#c94a97ff b,#2c4d7eff c,#e09cc5ff d,#add3aeff e,#758ea7ff f,#e7cfe1ff g,#d270abff ``` ```image gcf aaa aaa aaa aaa faaa caag gaac aaaf aaa aaa aaa aaa faaa caag f gaac gaa aaaf aaag aaa caaaf aaa aaaa aaa aaag aaa faaaf faaa aaaa caag aaaa gaac faaac aaaf gaaa aaa aaaa aaa aaac aaa gaaa aaa aaaa faaa aaag caag caaaf cg gaac aaaa gaaaa aaaf aaag gaaaaaa aaa faaaf aaaaaaaaaf aaa aaaa faaaaaaafgaag aaa aaaa faaaaaaaf aaa aaa faaac faaaaaaa aaa faaa gaaa caaaaaag gaag caag aaaa caaaaaag faaa gaac aaac caaaaaag aaa aaaf gaaa gaaaaaac aaac aaa aaaa gaaaaaac faaa aaa aaag aaaaaaaf aaa aaa caaaf aaaaaaaf aaac aaa aaaa faaaaaaaf caaa faaa aaag faaaaaaa aaa caag faaaf faaaaaaa aaaf gaac aaaa caaaaaag gaaa aaaf aaaaaaaaag aaa aaa faaaaaac aaaf aaa gaaac gaag aaa cf faaa aaa aaa faaa aaagcaag faaagaac aaaaaaf aaaaaa caaaaa d aaaaa ebbbbbbbe ddddddddaaaaaddd febbbbbbbbbbbbbbbeddddddddgaaaaddd febbbbbbbbbbbbbbbbbbbbbbbedddddaaagddd febbbbbbbbbbbbd ebbbbbbbbbbbbedaaagddd dbbbbbbbbbbbbbd ebbbbbbbbbbgaadddd dbbbbbbbbbbbbef ddebbbbbbecddddd ebbbbbbbbbbbbef ddddddbbbbdddddd ebbbbbbbbbbbbef dddddddbbbbddddd febbbbbbbbbbbbe ddddddddbbbbdddd febbbbbbbbbbbbe ddddddddebbbeddd febbbbbbbbbbbbd dddddddddbbbbddd dbbbbbbbbbbbbbd ddddddddddbbbbdd bbbbbbbbbbbbed dddddddddddbbbbd bbbbbbbbef dddddddddddebbbe bbbbef ddddddddddddbbbb ff dddddddddddddbbbb fbbbe ebbbf bbbb bbbb fbbbe ebb e ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#c94b97ff b,#2b4c7eff c,#e3a5cbff d,#adb9cdff e,#788dacff f,#e0dee8ff g,#496590ff ``` ```image caaaaaaaaac faaaaaaaaaf aaaaaaaaaf f caaaaaaaa bbedf faaaaaaaa bbbbbbedf aaaaaaaa bbbbbbbbbgedf caaaaaac bbbbbbbbbbbbbgedf caaaaaac bbbbbbbbbbbbbbbbbd aaaaaac bbbbbbbbbbbbbbbbbbfcaaaaa degbbbbbbbbbbbbbbbgfaaaac degbbbbbbbbbbbbe ccf fdegbbbbbbbbbd fdgbbbbbbbf gbbbbbbg fbbbbbbbe dbbbbbbbd ebbbbbbbf fgbbbbbbg dbbbbbbbe ebbbbbbbf gbbbbbbgf fbbbbbbbe dbbbbbbbd ebbbbbbbf gbbbbbbg fbbbbbbbe dbbbbbbb ebbbbbb fgbbbbb fbbbbb ebbbb ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c94a97ff b,#2c4c7eff c,#e09ac5ff d,#9dacc3ff e,#647ca0ff f,#e7cfe1ff g,#d36eabff ``` ```image gcf aaa aaa aaa aaa faaa caag gaac aaaf aaa aaa aaa aaa faaa caag f gaac gaa aaaf aaag aaa caaaf aaa aaaa aaa aaag aaa faaaf faaa aaaa caag aaaa gaac faaac aaaf gaaa aaa aaaa aaa aaac aaa gaaa aaa aaaa faaa aaag caag caaaf cg gaac aaaa gaaaa aaaf aaag gaaaaaa aaa faaaf aaaaaaaaaf aaa aaaa faaaaaaafgaag aaa aaaa faaaaaaaf aaa aaa faaac faaaaaaa aaa faaa gaaa caaaaaag gaag caag aaaa caaaaaag faaa gaac aaac caaaaaag aaa aaaf gaaa gaaaaaac aaac aaa aaaa gaaaaaac faaa aaa aaag aaaaaaaf aaa aaa caaaf aaaaaaaf aaac aaa aaaa faaaaaaaf caaa faaa aaag faaaaaaa aaa caag faaaf faaaaaaa aaaf gaac aaaa caaaaaag caaa aaaf aaaaaaaaag aaa aaa faaaaaac aaaf aaa gaaac gaag aaa cf faaa aaa aaa faaa aaaccaag faaagaac aaaaaaf aaaaaa caaaaa d aaaaa dbbbbbbbd aaaaa febbbbbbbbbbbbbbbd caaaa febbbbbbbbbbbbbbbbbbbbbbbd aaag febbbbbbbbbbbbd dbbbbbbbbbbbbd aaac debbbbbbbbbbbed dbbbbbbbbbbcaa dbbbbbbbbbbbbef dbbbbbbeff dbbbbbbbbbbbbef ebbbf dbbbbbbbbbbbbef bbbb febbbbbbbbbbbbd bbbb febbbbbbbbbbbbd fbbbd febbbbbbbbbbbbd ebbb debbbbbbbbbbbbd bbbb bbbbbbbbbbbbed bbbb bbbbbbbbef dbbbd bbbbef bbbb ff bbbb fbbbe ebbbf bbbb bbbb fbbbe ebb d ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#659f18ff b,#5795aaff c,#a4c676ff d,#94bcc8ff e,#88b44dff f,#c4daa7ff g,#e3ede3ff ``` ```image dd dbbb dbbbbbd dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg bd dbbbbbbg gbbbg dbbbbbb bbbb dbbbbbb bbbb dbbbbbb bbbb dbbbbbb gbbbd dbbbbbb dbbb bbbbbbb bbbb bbbbbbb bbbb bbbbbbb bbbd bbbbbbb gbbbg bbbbbbb dbbb bbbbbbb ef bbbb bbbbbbd faaa bbbb bbbbbbd aaaaac gbbbd bbbbbbd eaaaaa dbbbg bbbbbbd faaaaaf bbbb bbbbbbd aaaaae bbbb gbbbbbbd caaaaag bbbd gbbbbbbd gaaaaac gbbbg gbbbbbbd aaaaaa dbbb gbbbbbbd caaaaag bbbb gbbbbbbd faaaac bbbb gbbbbbbd eaaa gbbbbbbbbbd eaag dbbbbbbd eaag bbbbd aaa dd aaa aaa aaa aaa aaa aaa g aaa faa aaa aaaf aaa gaaac aaa aaaae aaa aaaaa aaa caaaaa aaa aaaaaa aaa faaaaaa gaaa aaafaaa gaae aaa aaa gaae eaae eaag faae aaa caaf faac faaa faac faac aaag gaae caaf gaaa aaa caaf aaac aaa eaaf aaa aaa eaag caae aaa eaag aaa aaa aaag faaa aaa aaa aaaf eaag aaa aaa caaf aaa eaae faac aaa aaa faae aaa faaa aaa aaa aaag aaa aaa gaaa aaa aaa aaac aaa aaa aaa aaa aaa ce aaa aaa aaag aaa eaaaefg aaa faaaaaaaaaefg aaa aaaaaaaaaaaaaaaefg aaa fcaaaaaaaaaaaaaaaaefg gaaa fcaaaaaaaaaaaaaaaaef gaae fcaaaaaaaaaaaaaaaaef gaae fcaaaaaaaaaaaaaaaaef faac fcaaaaaaaaaaaaaaaaeffaac feaaaaaaaaaaaaaaac feaaaaaaaaaf feaaa ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#7c7dbcff b,#d5993eff c,#e2c38eff d,#ecedeaff e,#a7accdff f,#b1d7b1ff g,#97c995ff ``` ```image eaa eaa aaa aae aae aae aad aad aa aa ad daa eaaa daa daaaae eaa eaaaad eaa aaaaa eaa daaaae aaa eaaaad aae eaaaa aae aaaae aad daaaad aad eaaaa aad aaaae aa daaaad dddddddddddddddddddddddddddddddd aa eaaaa gfffffffffffffffffffffffffffffffgd daa aaaae gffffffffffffffffffffffffffffffffd daa daaaad gffffffffffffffffffffffffffffffffd eaa eaaaa gffffffffffffffffffffffffffffffffd eaa aaaaegffffffffffffffffffffffffffffffffd eaa bc daaaaefffffffffffffffffffffffffffffffd aaa bbbbd eaaaaffffffffffffffffffffffffffffffd aae bbbbbd aaaaaffffffffffffffffffffffffffffd aae bbbbb gfaaaaeffffffffffffffffffffffffffd aad dbbbbc gffeaaaafffffffffffffffffffffffffd aad cbbbbc gffffaaaaafffffffffffffffffffffffd aa cbbbbd gffffffaaaaefffffffffffffffffffffd aa bbbbb gfffffffeaaaaffffffffffffffffffffd aa bbbbb gfffffffffaaaaaffffffffffffffffffd daa dbbbbc gfffffffffffaaaaeffffffffffffffffd daa cbbbbc gffffffffffffeaaaafffffffffffffffd eaa cbbbbd gffffffffffffffaaaaafffffffffffffd eaa bbbbb gffffffffffffffffaaaaefffffffffffd eaa dbbbbb gfffffffffffffffffeaaaaffffffffffd aaa dbbbbc gfffffffffffffffffffaaaaaffffffffd aae cbbbbd gfffffffffffffffffffffaaaaeffffffd aae cbbbbgffffffffffffffffffffffeaaaafffffd aad bbbbbfffffffffffffffffffffffaaaaafffd aad dbbbbbfffffffffffffffffffffffaaaaefd aa gbbbbcffffffffffffffffffffffeaaaad aa gfcbbbbgffffffffffffffffffffffaaaaa aa gfffbbbbbfffffffffffffffffffffffaaaae daa gfffffbbbbbffffffffffffffffffffffdaaaad daa gfffffffbbbbbffffffffffffffffffffd eaaaa eaa gffffffffcbbbbcffffffffffffffffffd aaaae eaa gffffffffffbbbbbfffffffffffffffffd daaaadeaa gffffffffffffbbbbbfffffffffffffffd eaaaaae fggggggggggggggbbbbbggggggggggggg aaaae dbbbbc daad cbbbbc cbbbbd bbbbb dbbbb cbbbd dbbbc bbbb bbbb cbbbd dbbbc bbbc bbbb cbbb cbbbd dbbbc bbbb bbbb cbbbd dbbbc bbbb bbbb cbbbd dbbb bd ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#7c7dbcff b,#d5983cff c,#edd4aeff d,#c3c4e0ff e,#9d9ecdff f,#ebe9edff g,#e0b472ff ``` ```image f ad aaad aaaaef aaaaaad aaaaaaaad daaaaaaaaef daaaaaaaad feaaaaaaaad daaaaaaaaef daaaaaaaae feaaaaaaaad daaaaaaaaef daaaaaaaaef feaaaaaaaad daaaaaaaaef daaaaaaaaef feaaaaaaaad daaaaaaaaef daaaaaaaaef feaaaaaaaad feaaaaaaaef daaaaaaaaef feaaaaaaaad feaaaaaaaad daaaaaaaaef feaaaaaaaad feaaaaaaaad daaaaaaaaef feaaaaaaaad feaaaaaaaad daaaaaaaaef eaaaaaaaad feaaaaaaaad gf daaaaaaaaef bbc daaaaaaaae bbbbc feaaaaaaaad bbbbbgc daaaaaaaaef bbbbbbbgf daaaaaaaaef gbbbbbbbbgf feaaaaaaaad cbbbbbbbbbc daaaaaaaa cbbbbbbbbbc daaaaaa gbbbbbbbbgc feaaaa fgbbbbbbbbgf daaa cgbbbbbbbbg da cbbbbbbbbbc f cbbbbbbbbbc fgbbbbbbbbgf fgbbbbbbbbgf cgbbbbbbbbc cbbbbbbbbbc cbbbbbbbbbc fgbbbbbbbbgf fgbbbbbbbbgf cbbbbbbbbbc ``` <!-- end of image --> Based on this close-up, I can conclude 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,#7b7cbcff b,#d5983cff c,#eacea3ff d,#c9cae3ff e,#a2a2cfff f,#efe9e6ff g,#deb069ff ``` ```image eaa eaa aaa aae aae aad aaf aa aa aa af faa eaaa daa faaaad daa daaaaf eaa eaaaa eaa aaaad aaa daaaaf aae eaaaa aae aaaae aad daaaaf aaf eaaaa aa aaaae aa daaaaf aa eaaaa faa aaaae daa daaaad daa eaaaa eaa aaaae eaa bc faaaad aae bbbbf eaaaa aae gbbbbf aaaae aad bbbbb faaaad aad fbbbbg eaaaa aaf cbbbbc aaaae aa gbbbbf faaaad aa gbbbb daaaaf aa bbbbg aaaae faa fbbbbg faaaad daa cbbbbc daaaaf daa gbbbbf eaaaa eaa bbbbb faaaad eaa fbbbbg daaaaf aae fbbbbc eaaaa aae cbbbbc aaaae aad gbbbbf daaaaf aad bbbbb eaaaa aaf fbbbbg aaaae aa cbbbbc daaaaf aa cbbbbf eaaaa aa gbbbbf aaaae faa bbbbg daaaad daa fbbbbg eaaaa daa cbbbbc aaaae eaa gbbbbf faaaadeaa gbbbb eaaaaae bbbbg aaaae fbbbbc faad cbbbbc gbbbbf bbbbg fbbbb cbbbf fbbbc bbbg bbbb gbbbf fbbbc bbbg bbbb gbbb cbbbf fbbbg bbbb gbbb cbbbf fbbbc bbbg gbbb cbbbf fbbb bf ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#ca805dff b,#cfaaa0ff c,#967381ff d,#e8d3ccff e,#99c497ff f,#b0d7b0ff g,#f4f1edff ``` ```image g bag aga da da b ag ba ga ga aa ad ad ab ga a ad ad bb ag ga a ga ag da da da ag ba ag ga aa da ad ab ag a ad da bb ag a a ga da da da a a ba ba ga aa a ag ab ba ad a ag bb ga a da bb ba a aa bb ab a ad ab ag a ga ad da a ba ad aa ga ab ad ad ga ag ad gdcccc ga ga dbccccbd bcd da ag gbcccccbg cc ba ga ccccbd bcg aa ag g gcb ab da cc ad ag dcb ag da cc ga ag dcd da da cc ba a bcd aa da gcc ab a bcg ad ba gcb gggggggggadggagg cc effffffffeafaafeg dcbefffffffffeaafffg ccffffffffffbafffg ecefffffffffffffg efccffffffffffffg effeceffffffffffg effffccfffffffffg efffffccffffffffg efffffffccffffffg effffffffccfffffg efffffffffecefffg efffffffffffccffg effffffffffffeceg effffffffffffffcc efffffffffffffffbcd efffffffffffffffggcc feeeeeeeeeeeeeeeg bcg gcb cc dcb cc dcd cc bcd gcc bcg gcb cc dc ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d9a289ff b,#bba4adff c,#936f7eff d,#d5c5c8ff e,#a68894ff f,#ca7d5aff g,#efe5e5ff ``` ```image affg afa aff gffg ffa afa gffagffg gffffa eg dfffg ccd dfa bcceg g dcccd geccb dcccd geccb bcceg geccb bcceg dcccd gbcceg dcccd geccb dcccd geccb bcceg geccb bcceg dcccd gbcceg dccc gec d ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#d39376ff b,#d8b3a6ff c,#936f7eff d,#e7d3cfff e,#ac919cff f,#c97b58ff g,#f6eeecff ``` ```image g bfg fgf df df a fg bf gf gf aa fd ad fb gf f fd fd bb fg gf f gf fg da df df fg bf fg gf aa df fd fb fg f fd df ab fg f f gf df ba df f f bf ba gf aa f fg fb ba fd f fg ba gf f df ab bf f aa ab fb f fd ab fg f gf ab df f bf fd aa gf fb fd fd gf fg fd gbeccc gf gf decccced bcd df fg gbecccebg ce bf gf cccced ecg aa fg g gce fb df ec fd fg dcb fg df cc gf fg dcd df df cc bf f bcd aa ba gce fb f ecg fd ba gce fg f ec gf ba dcb dff cc ba dcd cc bcd gce ecg gce ec dcb cc dcd cc bcd gce ecg gce ec dcb cc dcd cc bcd gce ecg gce ec dc ``` <!-- 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,#e8952eff b,#f3c7a2ff c,#e26842ff d,#b1d7b1ff e,#f9e4d5ff f,#dea670ff g,#98c995ff ``` ```image eae faa aaae aaaa aaaa aaaaa aa aa aa aaf eaa eaa baa aab baf eaa fab aae faf aae baa baaa aae aae eaaaa aa faa aaaaa aa aa gggggggggggggggggggggggggggaaagaagggggggd aa faa ddddddddddddddddddddddddddaaaddaadddddddg aa aa dddddddddddddddddddddddddaaadddaadddddddg eaa aaf ddddddddddddddddddddddddaaaddddaadddddddg baa aa dddddddddddddddddddddddfaadddddaadddddddg baf aab ddddddddddddddddddddddgaafdddddaadddddddg fab eaa ddddddddddddddddddddddaccddddddaadddddddg ee aae aab dddddddddddddddddddddacccgdddddaafffaaaaaaaaaaaaaaaaaaaaf aa baa ddddddddddddddddddddacccccdddddaaaaaaaaaaaaaaaaaaaaaaaaaa aa aae dddddddddddddddddddacccdccfddddffffffffgge aa faa ddddddddddddddddddaaccddfccdddddddddddddg aa aa dddddddddddddddddfaccfdddccfddddddddddddg aa faa ddddddddddddddddfacccddddfccddddddddddddg eaa aa ddddddddddddddddacccddddddccfdddddddddddg baa aaf dddddddddddddddacccdddddddgccdddddddddddg faf aa ddddddddddddddacccdddddddddccfddddddddddg fab aab dddddddddddddaaccfddddddddddccddddddddddg aae eaa ddddddddddddaaccfdddddddddddccfdddddddddg aa aab dddddddddddaacccdddddddddddddccdddddddddg aa baa ddddddddddfacccddddddddddddddccfddddddddg ecc aa aaedddddddddgacccddddddddddddddddccddddddddg bccc aa baadddddddddaaccdddddddddddddddddcccdddddddg ccccce aa aagdddddddaaccfddddddddddddddddddccdddddddg cccbfcf eaa faaddddddaacccdddddddddddddddddddcccddddddg eccc ecc baa aadddddaacccdddddddddddddddddddddccddddddg fccc cc faf aaadddaacccddddddddddddddddddddddcccdddddg cccb cc aab eaaddfacccddddddddddddddddddddddddccdddddg eccce ccb aae aaffaaccfddddddddddddddddddddddddcccddddgfccc bcc aa gaaaaccfddddddddddddddddddddddddddccddddcccf cc aa daaacccdddddddddddddddddddddddddddfccddccce cc aa gfacccgggggggggggggggggggggggggggggccfccc cce aa fcc fcccc fcf aa bcce ccb ecc eaa eccb baf ccf faf ccc aab ccc aae fcc aa ecce aa ccf aa ccc aa ccc aa fcc eaa bcce ee eccb ccf ccc ccc fcc ecce ccf ccc ccc fcc bcce eccb ccf ccc ccc fcc ecce ccf ccc ccc fcc ce ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#e8942dff b,#f1b991ff c,#e36741ff d,#f5d2b8ff e,#faeadeff f,#edae5eff g,#e8876aff ``` ```image baaaaaeeaaaae baaaaae eaaaae daaaaad aaaae eaaaaad aaaae eaaaaab aaaae efaaaaf aaaad faaaaf aaaad faaaafe aaaad baaaaae aaaad daaaaae faaad daaaaad faaad eaaccab faaab eaacccce faaab facccccg faaab faaccccccd faaafbbffffffaaaaaa baacccccccg faaaaaaaaaaaaaaaaaa baacccccccccd baaaaaaaaaaaaaaaaaa daacccccgccccg daaaaaaaaaaaaaaaaaa eaacccccg bccccd dffffbbbbbbdddddee eaacccccce ccccg efaaccccce dccccd faacccccd gcccg faacccccb dccccd baacccccg gcccc daacccccg dccccb daaaccccce gcccc eaaacccccd dccccb eaaacccccb gcccc faacccccb dccccb faacccccg gcccce baacccccce eccccb baaaccccce gcccce daaacccccd eccccb eaaacccccb gcccce eaaacccccg eccccg efaacccccg bcccce faaaccccce eccccg faaacccccd bcccce baaacccccd eccccg daaacccccb bcccce daaacccccg eccccg eaaacccccge bccccd e eaaaaccccce ccccg b faaacccccd bccccd a faaacccccb ccccg ab baaacccccg bccccd aa baaacccccg ccccg aad daaaaccccce dccccd aaf eaaaacccccd gcccc aaad eaaaacccccd dccccb aaaf faaacccccb gcccc aaaae faaacccccg dccccb aaaaf faaacccccge gcccc baaaae baaaaccccce dccccb eaaaab daaaacccccd gcccce baaaadaaaacccccb eccccb eaaaaaaaacccccg gcccce d faaaaaacccccg eccccb bc daaaaaaccccce gcccce gcc ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#e8952cff b,#f0b587ff c,#e36741ff d,#f5d0b3ff e,#fae9dcff f,#eca854ff g,#e88568ff ``` ```image eae faa aaae aaaa aaaa aafaf aa aa aa aab eaa eaa daa aab baf daa fab aad baf aad daa daaa aae aae eaaaa aa baa aafaa aa aa aaaeaa aa faf aaa aa aa aa aaa aa eaa aaf faa aa daf eaa baae aa baf aab daad aa fab eaa eacc aa ee aad aad accce aabbfffaaaaaaaaaaaaaaaaaaf aae daa accccc aaaaaaaaaaaaaaaaaaaaaaaaaf aa aae accc ccd dfbbbdddeee aa baa facce dcc aa aa baccb ccd aa faf daccg dcc eaa aa eaccc ccb daf aaf accc dcc bab aa accce ccb fad aab aaccd ecc aae eaa aaccg ccb aa aad faccc ecc aa daa baccc ccg ecc aa aae daccc ecc bccc aa baa eaacce ccg gcccce aa aa aaccb cc cccdgcb eaa faa aaccg ccg dccc dcc daf aa aaccc cc gccc cc bab faf faccc gcc cccb cc fad aa baccce cc eccce ccd aae aabdaaccd gcc bccc dcc aa eaaaaccg cce cccg cc aa aaaccc gcc cccd cc aa daccc ccbccc ccd aa gcc bcccg bcg aa dcce ccd ecc eaa eccb daf ccg bab ccc fad gcc aae bcc aa eccd aa ccb aa ccc aa ccc eaa gcc daa dcce ed eccd ccg ccc ccc bcc dcce ccb ccg ccc gcc dcce eccd ccg ccc ccc bcc dcce ccb ccg ccc gcc ge ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#189bdbff b,#06b545ff c,#bce3eeff d,#45c570ff e,#5fb9dfff f,#8fcd99ff g,#afd7b1ff ``` ```image f gbbb gbbbf dbbd bd fb bc bd gb bg db b ffffffffffffg bf ggggggggggggf fb gggfggggggggf b gggbbbbbbbddd bd gggggggffddbbbbbbbbddfc gb ac gggaggggggggf cfddbbbbbbbbdfgc bg ea gggaegggggggf cfdbbbbbbbb db a gggeagggggggf b cb aa ggggagggggggf bf bf a ggggagggggggf fb db ae ggggaeggggggf b b ca ggggfaggggggf bc bd ac gggggaggggggf dd fb ea gggggaegggggf gb bc a gggggeagggggf b bb aa ggggggagggggf bg cb a ggggggagggggf fb bg ae ffffffaeffffg b db ca ca b b ac a bd bd ea ac gb fb ac ee b bc ea ca bg bd a a db gb ae ac ceb bg ca ea fgggggggaabfgggf db ae a gggggggeaabdgggf cb ca a gggggggagafbgggf bf ac ae ggggggaegagbgggf db ea ca gggggeaggagbfggf b a a gggggagggagdbggf bd aa ac ggggaegggagfbggfgb a ee gggeaggggafgbggfbc ae ca gggagggggaegbdgbb ca a ggaegggggaegdbfb ac ac geaggggggaeggbbd ea ea fagggggggeaggbbf ac a aegggggggeaggfgf ea a eaggggggggfaggggf a ae afgggggggggaggggf ae ca aeggggggggggaggggf ca a ea ggggggggggaggggf ae ac a ggggggggggaggggf ca ea ae ggggggggggaggggf ac ca ea fgggggggggaggggf ea a a ac a ae ae ac aa ea ea ac a a ac ae ae ac ae ee ca ae ea ea ac ca ac ca ea a ae ca ac ac ca ca ea ea ac a a a ae a ae a ca a ca aeac a ae caa a ca a ac ac ac ea ae a ae aa ee ea ea aa ca aa caae ac ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#169adbff b,#07b645ff c,#87cbecff d,#4eca7aff e,#47afe2ff f,#c5e7ecff g,#92deadff ``` ```image f fbbbdddgggf gbbbbbbbbbbbbbdddg fgggddbbbbbbbbbbbb ffggdddbb fea faaf aac eae caa faaf aac eae caaf faac eae caa faaf aac eae caa faaf aac eaa caaf aac eae caa faaf ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Time to investigate another area. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#199cdbff b,#05b544ff c,#aeddeaff d,#7dd7a1ff e,#64bce6ff f,#e1f3f4ff g,#37c369ff ``` ```image eaagbg caaadbbf faaaadbbc eaaaacbbd caaeaacgbg faaa aaedbbf eaac aaefbbd caae eae gbg faaa eae dbb eaac eaa cbbc caae eaa bbd faaa caa gbg eaac caa dbbf caae caaf fbbd faaa caaf gbg eaac faac dbb caae faac cbbc faaaf aac bbd eaac aac gbg d caae aae dbbffb faaaf aae fbbdgb eaac eae gbbbb caae eae dbbbg faaaf eaa cbbbc eaac eaa bbd caae caa cd aaaf caaf aac caaf ae caaf af faac c faac aac aae aae aae eae eae eaa eaa ``` <!-- end of image --> No intersection in area B, but I'll keep looking. Answer: A: 0; B: 0; 0 + 0 = 0 I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#179bdbff b,#09b647ff c,#8fceedff d,#5bce84ff e,#55b5e4ff f,#d5eef1ff g,#a0e2b7ff ``` ```image d gbbbf gbbbd bbbd bbf gb bf bb gb bg db fb bd db f bf bbbbbbbdggf bd fgddbbbbbbbbbdgf gb af a fgdbbbbbbbbbddgf bg ea ac ggdbbbbbbbb bb a ca fb fb aa a bg bg fa af db db ae ae b b ca fa bf bd ac a bd gb ca ac gb bf af ea b bb ea fa bg fb a a db bg ae ac b db fa ca bf fb ac a bd bd ca af gb db af ee b bf ea fa bg bb a a db gb ae ac feb bg fa ea aab bb ac a eaabd fb ca a fa agb bd ac ae ac a b db ea ca ea a bg bf af a fa a db bd aa af ae affb gb a ee ea af b bg ae fa a ac bd bb fa a ae ac gbfb ac ac ea ee bbg ca ca a ea bb af a ae ca g ea af ea ca a ae af fa ae ca ae a fa a ca a ac af af a ca ea ae a af fa ca a ea a af af af ac ae af aa ca ca ac fa a af ae ae af ae ee fa ee ca ca ac fa af ca ca a ae fa af ac ca fa ea ea af a a fa ae a ae a ca a fa acaf a ac cae a ca a af af ac ea ac a ee ae ee ca ca aaf ca aa faae faf ``` <!-- 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,#5c2587ff b,#f87247ff c,#b9a1cbff d,#8d66abff e,#fbc5b3ff f,#f99879ff g,#eedde3ff ``` ```image g aaad gaaaaaag daaaaaaaac aaa aaaaaac gaaa daaa daad cc aaa aaa daad aaa aaa daad aaa aaa daad aaag aaa daad aaag aaa daad aaag aaa daad aaag aaa caad aaag aaa caaa aaag dddccccgg aaa aaaaaaaaaaaaaaaaaaaaaaaaaadddccccggg caaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddcccgggaaag ccccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gggcccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gggccccdddaaaa bbf gbbbg bbbbb ebbbbbb bbbebbbb ebbb gbbbf bbbe ebbbe ebbb fbbb bbbe bbbb ebbb bbbb ggeeeefffffbbbbbbbbbbf bbbe gbbbf eeeeffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ebbb ebbbe bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbe fbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbffffeeeeggg fbbe ebbb bbbb ffeeeeggg ebbf bbbe bbbb gbbb ebbb bbbf bbb bbbe ebbbe bbb ebbb fbbbg bbb bbbe bbbb fbbe ebbb bbbb ebbf bbbe bbbf gbbb ebbb ebbbe bbb bbbe fbb bbb ebbb f bbb bbbg bbbfbbb ebbbbbg gbbbbb bbbbg bbbb bbbg ebb ``` <!-- 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,#2be6b1ff b,#1e762aff c,#aeecd6ff d,#8eba94ff e,#70edcaff f,#56985fff g,#dbf5ebff ``` ```image aaaaecg aaaaaaaaaaaeeg eaaceaaaaaaaaaaaaaaaec aac ceaaaaaaaaaaaaaaaecg eaa gceaaaaaaaaaaaaaaecg aae gceaaaaaaaaaaaaaaaec caa caa ceaaaaaaaaaaaae eaa aaa geaaaaaa aae gaa eaa aac aaa eaa aa aag eaa aa eaa eaa gaa aac eaa caa eaa caa eaa aae caa aae caa caa aac aae caa aa gaa caa aa aaa caagaa aag caacaa eg eaa caaeaa aaa aac caaaae aaa eaa gaaaac gaaa aae gaaaag caae caa gaaaa eaac aae gaaaa aaa gaa gaaaa aaa aaa gaaaa aaa aag gaaae gaaa aaa gaaac caae aac gaaag eaag eaa aaa aaa aae aaa aaa caa aaa aaa aae aaa gaaagaa aae caaaaa aac eaaag aag aaa aa e aa d bbb bbf dbbg bbb bbb cbbc bbb bbb gbbd fbb bbb fg bbf dbbb dbbg cbbbbc bbb bbbbf bbb fbbbb cbbc dbbbbg bbb gbbbbd bbb bbbbf gbbd dbbbb fbb gfbb cbbbbc bbb gdbbbbbbf bbbbd bbf dbbbbbbbbfbbd fbbbb dbbg dbbbbbbbbfg fbbg dbbbbg bbb dbbbbbbbbfc bbb gbbbbd bbbbbbbbbbfc bbb bbbbf cbbbbbbd gbbf dbbbb fbd dbbc cbbbbc bbbg bbbbd bbb fbbbb bbbbbbg cbbbd df ``` <!-- end of image -->
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No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#317d18ff b,#75aed2ff c,#8eb780ff d,#b0d0e5ff e,#dfebe5ff f,#bbd3b3ff g,#649c51ff ``` ```image gggggggggggggggggggggggggggggc caaaaaaaaaaaaaaaaaaaaaaaaaaaaaa e eac a ac aa ae cag ga ac aaa faf ag aga ag ga gaca aa ca acfa cae ea fa a ac ae aa ae aa af af af ga ag ca ac eaf ga ag ag aa ca ea ga aa ea ga ca fae a ac fa ag af fa ea aa ag aa a ca aa ae af eac ca ca ac aa fa ag ag ga a ea aa faf af aa ga ag ac af ca aa aa ca ea cae ga ag a ac fa ae ae aa ea ga af ga ae ac ac eaf ac fa aa aa ag aa ga aa ga af ca fae ca ca fa ag ea ag ea aa aeea ae ca afga ge eac agac aa aaa c caa fae c bbbbbdde ebddbbbbbbbbbbbbdde bb eddbbbbbbbbbbbbdde db eddbbbbbbbbbbbbdde bb eddbbbbbbbbbbbbdde db eddbbbbbbbbbbbbdde bb eddbbbbbbbbbbbbdde db eddbbbbbbbbbe bd ed db bd db bd db bd db bd ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#a5dae2ff b,#15a0b4ff c,#aebf77ff d,#59babeff e,#99ca99ff f,#eaf3ecff g,#b1d7b0ff ``` ```image a abd fbbb fbbb bbb bbb bbb bbbf bbbf bbba dbba dbba abd abbd abb abbd bb fbbb bba fbbb dbb fbbb abb bbb bb bbb bba bbb dbb bbbf fbb bbbf bbf dbba bbd dbba abb dbbd bb abbd bba abbb bbb fbbb abb fbbb bb bbb bba bbb dbb bbb fbb bbbf bbf bbbf fbbd bbba fffccdbbffffffffffffffffffffff dbba egggcccbbgggggggggggggggggggggef dbbd egggcccbbegggggggggggggggggggggf abbd eggecccbbbgggggggggggggggggggggf abbd eggccccdbbgggggggggggggggggggggf fbbb eggcccccbbgggggggggggggggggggggf fbbb eggcceccbbdggdgggggggggggggggggf bbb eggccgccbbbgbbbbbegggggggggggggf bbb eggccgccebbgbbbbbbgggggggggggggf bbb egeccgeccbbgbbgebbeggggggggggggf bbb egcccggccbbdbbggbbbggggggggggggf bbbf egcceggccdbbbbggebbggggggggggggf bbbf egccgggcccbbbbgggbbdgggggggggggf dbba egccggggccbbbbgggdbbgggggggggggf dbba egccggggccbbbbggggbbgggggggggggf dbbd eeccggggccdbbbggggbbdggggggggggf abbd ecccggggcccbbbggggdbbggggggggggf abbb eccegggggccbbbgggggbbggggggggggffbbb eccggggggccbbbgggggbbbgggggggggfbbb eccggggggcccdggggggebbggggggggebbb eccggggggeccggggggggbbegggggggbbb cccgggggggccggggggggbbbggggggbbb egggggggggcceggggggggbbgggggbbbf egggggggggcccggggggggbbdgggbbbef eggggggggggccggggggggdbbggbbbegf eggggggggggccgggggggggbbgdbbdggf eggggggggggcccggggggggbbbbbdgggf eggggggggggeccggggggggdbbbdggggf egggggggggggccgggggggggbbbgggggf egggggggggggcceggggggggddggggggf egggggggggggcccggggggggggggggggf eggggggggggggccggggggggggggggggf eggggggggggggccggggggggggggggggf eggggggggggggccccccegggggggggggf egggggggggggggcccccccccccegggggf eggggggggggggggggecccccccccccccf geeeeeeeeeeeeeeeeeeeeeecccccccccccccgf fgcccccccccccgf gccccccccccccgf fgccccccccccccg fgcccccccccccgf fgccccccccccccgf fgcccccccccccgf fgcccccccccccgf fgccccccccccccg fgccccccc fgcg ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#c2e6ebff b,#14a0b4ff c,#aebf76ff d,#4ab5c4ff e,#86ccd2ff f,#e0e7ccff g,#c3d09eff ``` ```image fccccebbbba gccccebbbbe gccccgbbbbd ccccccdbbbb ccccccebbbba fccccccgbbbbe fccccccgbbbbd gcccccccdbbbb gcccccccebbbba ccccccccgbbbbe cccccccccdbbbb fcccccccccebbbba fccccfccccebbbbe eea gcccc ccccgbbbbd dbbbbdea gcccg gccccdbbbb bbbbbbbbbda ccccg fccccebbbba abbbbbbbbbbb ccccf ccccgbbbbe abbbbbbbbbbbe fccccf gccccbbbbd ebbbbdbbbbbbd fcccc gccccdbbbb ebbbb adbbbba gcccc fccccebbbbaebbbb abbbbe gcccg ccccgbbbbeebbbb bbbbb ccccg gccccdbbbddbbbb ebbbba ccccf fccccdbbbbdbbbd abbbbd fccccf ccccebbbbbbbbd dbbbb fcccc cccccbbbbbbbbd ebbbbe gcccc gccccdbbbbbbbe bbbbd gcccg fccccebbbbbbbe dbbbba ccccg ccccgbbbbbbbe abbbbe ccccf gccccbbbbbbbe bbbbb fccccf fccccdbbbbbba ebbbba fcccc fccccebbbbbba abbbbe gcccc cccccbbbbbba dbbbb ccccg gccccbbbbbb ebbbba ccccg fccccdbbbbb abbbbd fccccf ccccebbbbb dbbbb fccccf gccccbbbbb ebbbbe fcccc fccccdbbbd bbbbd gcccc fccccebbbe dbbbba ccccg ccccgede abbbbe ccccg gcccc bbbbb d fccccf fccccf ebbbba eb fccccf ccccg abbbbd ebb gcccc gcccc dbbbb ebbb fgccc gccccf ebbbbe abbbb f fccccf bbbbd abbbbb ccccg dbbbba abbbbbb gcccc abbbbe abbbbbba fccccf bbbbd abbbbbba ccccg ebbbba dbbbbba ccccc abbbbe dbbbbba gcccc bbbbb dbbbbbe fccccf ebbbbadbbbbbe ccccg abbbbbbbbbbe gcccc dbbbbbbbbd fccccf ebbbbbbbd ccccg bbbbbbd ccccg dbbbbd gcccc abbbb fccccf ade ccccg gcccc fccccf fccccf ccccg gcccc fcccccggff cccccccccccgff gcccccccccccccccggff fcccccccccccccccccccccggff ffgcccccccccccccccccccccccgff ffggccccccccccccccccccccccgg ``` <!-- end of image --> No luck this time. Area A doesn't have 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,#b1dfe6ff b,#14a0b4ff c,#afbf77ff d,#43b3c2ff e,#7ac8d1ff f,#e5f0eaff g,#d0dab2ff ``` ```image a abd fbbb fbbb bbb bbb bbb bbbf bbbf dbba dbba ebbe add ebbd ebb abbd bb abbb bba fbbb dbb bbb abb bbb bb bbb bbe bbb ebb bbbf fbb bbbf bbf dbba bbd dbbe ebb ebbe bb abbd bba abbd dbd fbbb abb fbbb bb bbb bbe bbb dbb bbb fbb bbbf bbf bbbf fbbe dbba ccebb dbba ccgbb ebbe cccbba ebbd gcccbbd abbd ccccebb fbbb cccccbb fbbb ccgccbba e bbb cc ccdbb bbbbba bbb fcc ccgbb bbbbbb bbb gcc gccbb bbffbba bbb ccc ccbbebb dbb bbbf ccg ccebbbb fbb bbbf ccf cccbbbb bba dbba cc fccbbbb dbb dbbe fcc ccbbbb bb ebbe gcc ccebbb bbe abbd ccc gccbbb ebb abbd ccg ccbbb bbf fbbb cc ccdbd bbd fbbb cc cccd abb bbb fcc gcc bba bbb gcc cc dbb bbb f ccg fbb bbbf gcc bbe bbbf fcc ebb dbba ccf bb dbba ccg bbbbbe gcc abbbd cc bbd ccg ae ccc fcc cc ccccccgf fccccccccccgg ggcccccccccccgf fgccccccccccccgf fgcccccccccccgf gccccccccccccgf fgccccccccccccg fgcccccccccccgf fgccccccccccccgf fgcccccccccccgg ggcccccccccccgf fgccccccccccccg fgccccccc gcg ``` <!-- 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,#495bcdff b,#a3addeff c,#465b98ff d,#c6cceaff e,#7f8ccdff f,#5b6bcfff g,#e6e9f6ff ``` ```image g aab gaaa ffffffffffffffffffffffffffffffffffffffffffg daaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa daaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa daaaag aaa daaaaa faa daaaaa eaad daaaaaf baab daabaaa daae daabfaae gaaf baab aaa aaa baab aaab aaa baab gaaa aaa baab aaad aaa baab daaa aaa baab aaag aaa baad baaf faag baad aaa eaad eaad eaae baab eaad aaa daae eaad faab gaaf eaad gaaa aaa eaad aaad aaa eaag daaa aaa eaag aaag aaa eaag baaa aaa faag aaa aaa faag eaaf faag faag aaa baab faag faae gaaa faa aaa aaa faa aaab aaa aaa gaaa eaab aaa aaad gaaa aaa daaa aaa aaa aaag aaa aaa baaa eaad aaa aaa daaf aaa eaaf aaa aaa aaa aaa aaa faae faad aaa aaa daae aaa aaab aaa aaa gaaa aaa aaa aaad faag aaa daaa baae aaa aaag aaa aaa baaf aaa aaa aaa e aaagaaa eaae eccb baabaaa aaa cccccd gaaaaaa faab gccccccg aaaaaa gaaa dcccccc aaaaaa aaad bcccccc eaaaaa daaa eccccce gaaaaa aaag ecccccb aaaaa baaa ccccccd aaaaa aaa gccccccd eaaaa eaaf gccccccg daaaa aaa dcccccc aaaa faae bccccce aaaa aaa eccccce faaa aaab fcccccb daaa ge ccccccd aaa gccccccg fab dcccccc bcccccc bccccce ecccccb ccccccb ccccccd gccccccg dcccccc bcccccf gdecc eccccce gbeccccccccc ecccccb gbecccccccccccccccc ccccccd dbecccccccccccccccccccedg gcccccccccccccccccccccced dcccccccccccccbd dcccfbd ``` <!-- end of image -->
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I'm curious to see if this image contains any 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,#2cdc77ff b,#ef44a8ff c,#f8b8ddff d,#89d49bff e,#b0d7b2ff f,#eeefeeff g,#ef82c0ff ``` ```image fffffffcccccccccccccccggggggggc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc fffff cbbbbbbbbbbc cbbbbbbbbbbf bbbc cbbbbbbbbbgf bbbf gbbbbbbbbbg bbb gbbbbbbbb bbb gbbbbb fbbb fbbb cbbb bbbf cbbb bbbc gbbb bbbc gbbb bbbg bbbb bbbg bbbg bbbg bbbg bbbb bbbc gbbb bbbc gbbb bbb gbbb bbb cbbb fbbb cbbb cbbb fbbb cbbb bbb gbbb bbb gbbb bbb bbbb bbbf bbbg bbbc bbbg bbbc bbbc bbbg bbbc bbbg bbbf bbbg bbb bbbb bbb gbbbfbbb gbbbcbbb gbbbcbbb cbbbgbbb cbbbgbbb fbbbbbbb bbbbbbg bbbbbbg bbbbbbc bbbbbbc bbbbbbf bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb gbbbbb gbbbbb eddddgbbbbbddddd deeeegbbbbgeeeeef deeeeebbbbgeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeebbbbeeeeeef deeeeegbbgeeeeeef deeeeeeeeeedaaeef deeeeeeeeeaaaadef deeeeeeeeaaaaaaef deeeeeedaaaaadeef deeeeeaaaaaaeeeef deeedaaaaadeeeeef eddaaaaaaddddddd faaaaad daaaaaf aaaaaa faaaaad fffffeeeeddddddaaaaaaaaf fffffeeeeedddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaadddddeeeeefffff ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2cdc76ff b,#f044a8ff c,#f69ed1ff d,#66e59cff e,#b8f2d1ff f,#facde7ff g,#f370bcff ``` ```image cbbbbbbbbbb cbbbbbbbbbg cbbbbbbbbbg cbbbbbbbbbg fbbbbbbbbbc fbbbbbbbbbc fbbbbbbbbbc fbbbbbbbbbf bbbbbbbbbf bbbbbbbbbf bbbbbbbbb bbbbbbbbb gbbbbbbbb gbbbbbbbg gbbbbbbbg gbbbbbbbg cbbbbbbbc cbbbbbbbc cbbbbbbbc cbbbbbbbf fbbbbbbbf fbbbbbbbf fbbbbbbbf fbbbbbbb bbbbbbb bbbbbbb bbbbbbg cbbbbbc e gbbbg dae fcf eaaaa daaaaad eaaaaaaaae eaaaaaaaaaa daaaaaaaaaad eaaaaaaaaaaae daaaaaaaaaade eaaaaaaaaaaad eaaaaaaaaaaae daaaaaaaaaad eaaaaaaaaaaae daaaaaaaaaade ``` <!-- end of image --> The evidence suggests that this is not an intersection point 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,#2cdc76ff b,#f044a8ff c,#f7a6d5ff d,#72e7a4ff e,#bbf3d3ff f,#fbd3eaff g,#f47ac1ff ``` ```image ffffffffffffccccccccccccgggggc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fff cbbbbbbbbbbf cbbbbbbbbbbf bbbf cbbbbbbbbbg bbbf gbbbbbbbbbg bbb gbbbbbbbb bbb gbbbbb fbbb fbbb fbbb bbbf cbbb bbbf gbbb bbbc gbbb bbbc bbbb bbbg bbbg bbbg bbbc bbbb bbbc gbbb bbbf gbbb bbb cbbb bbb cbbb bbb fbbb fbbb fbbb cbbb bbb cbbb bbb gbbb bbb bbbb bbbf bbbg bbbf bbbg bbbc bbbc bbbc bbbf bbbg bbbf bbbg bbb bbbb bbb gbbbfbbb gbbbfbbb cbbbcbbb cbbbgbbb fbbbgbbb fbbbbbbb bbbbbbg bbbbbbc bbbbbbc bbbbbbf bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb gbbbbb gbbbbb cbbbbg cbbbbg fbbbbc fbbbbf bbbbf bbbb bbbb bbbb bbbb bbbb bbbb bbbb bbbb gbbc ff eaa aaaae aaaaad daaaaae aaaaaa eaaaaae aaaaaa aaaaad daaaaae aaaaaa eaaaaad eeeeeeedddddddaaaaaaa eeeeeeedddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaadddddddeeeeeee ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#81ba78ff b,#ec3877ff c,#b1d6b0ff d,#f6a8c4ff e,#edede7ff f,#98c895ff g,#ed6997ff ``` ```image caa aaa aae caa aaa aae caa aaf aae caa aaf aae faa aac eaa faa aac eaa aaa aac eaa aaa aac eaa aaa aae caa aaa aae caa aaf aae eeeeeeeeeeeecaa efcccccccccccaaaf eccccccccccccaacf ecccccccccccfaacf ecccccccccccaaacf ecccccccccccaaccf eccccccccccaaaccf eccccccccccaafccf eccccccccccaacccf d ecccccccccaaacccf gbb ecccccccccaafcccf bbbb ecccccccccaaccccf ebbbg eccccccccaaaccccf dbbbd eeccfaaaaaaaaaaafccccf gbbb eeccfaaaaaaaaaaaaaaaaaaaaaaaacccccf bbbb eeccfaaaaaaaaaaaaaaaaaaaaaaaaaaaafffcccccccccccfbbbg eeccfaaaaaaaaaaaaaaaaaaaaaaaaaaafccee ecccccccccccccccbbbd ecfaaaaaaaaaaaaaaaaaaaaaaaaaaafccee ecccccccccccccgbbbe caaaaaaaaaaaaaaaafccee eccccccccccccbbbb caaafccee ecccccccccccbbbbf eccccccccccbbbgcf eccccccccgbbbcccf fffffffbbbbffffc bbbb bbbg dbbbd gbbbe bbbb bbbb ebbbd dbbbe gbbb bbbb ebbbg dbbbd gbbbe bbbb ebbd bbbg gbbbbbge ebbbd dbbbbbbbbd dbbbe egbbbbbbbgd gbbb dbbbbbbbbg bbbb gbbbbbbbbd ebbbg dgbbbbbbbge dbbbd dbbbbbbbbd gbbbe egbbbbbbbge bbbb dbbbbbbbbbbg egbbbbbd dge ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#81ba78ff b,#ed3878ff c,#bedbbaff d,#f7b3cbff e,#e6ebe1ff f,#9ec997ff g,#f16d9bff ``` ```image caaaac aaaaae eaaaaf faaaac aaaaae eaaaaf faaaac aaaaa caaaaf faaaac aaaaa caaaaf faaaae eaaaaa caaaaf faaaae eaaaaa caaaac faaaae eaaaaa caaaac aaaaae eaaaaf caaaac eeaaaaae eeeccccfffaaaaaaaaaf aaaaaaaaaaaaaaaaaaaaac aaaaaaaaaaaaaaaaaaaaae aaaaaaaaaaaaaaaaaaaac aaaaaaaaaaaaafffccce fffcccceee e db dbb gbbb gbbbb ebbbbbb dbbbbbbb dbbbbbbbe gbbbbbbg egbbbbbbg dbbbbbbbd dbbbbbbbd gbbbbbbge ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#81ba78ff b,#ed3877ff c,#cce3c9ff d,#f6a8c4ff e,#f3e7e8ff f,#a7cea1ff g,#f16999ff ``` ```image caa aaa aac caa aaa aae faa aaf aae faa aaf aa faa aaf eaa faa aaf eaa aaa aac caa aaa aac caa aaa aac caa aaa aac caa aaa aae faa aaf aae faa aaf aa faa aaf eaa d aaa gbb aaf bbbb eaa ebbbg eaaa dbbbd eccffaaaaaaaaaaac gbbbe eccffaaaaaaaaaaaaaaaaaaaaaaaa bbbb eccffaaaaaaaaaaaaaaaaaaaaaaaaaaaffcce bbbg eccffaaaaaaaaaaaaaaaaaaaaaaaaaaaffcce ebbbd cffaaaaaaaaaaaaaaaaaaaaaaaaaaaffcce gbbbe faaaaaaaaaaaaaaaaffcce bbbb caaaffcce bbbb ebbbg dbbbe gbbb bbbb bbbg dbbbd gbbbe bbbb bbbb ebbbd dbbbe gbbb bbbb ebbbg dbbbd gbbbe bbbb ebbd bbbg gbbbbbge ebbbd dbbbbbbbbd dbbbe egbbbbbbbgd gbbb dbbbbbbbbg bbbb gbbbbbbbbd ebbbg dgbbbbbbbge dbbbd dbbbbbbbbd gbbbe egbbbbbbbge bbbb dbbbbbbbbbbg egbbbbbd dge ``` <!-- 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. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#f3878aff b,#a03b6cff c,#efb5bbff d,#b77a95ff e,#f4eceaff f,#b1d7b0ff g,#9bc497ff ``` ```image caa ggggggggggggg aae a ffffffffffffgac ce ffffffffffaage a ffffffffaafffe ee eccccccccce fffffaaffffffe a a c fffaaffffffffe ec a a fffffffffffffe a c a fffbfffffffffe c ee ee fffggffffffffe a c c ffffbffffffffe a a a ffffbffffffffe ce a a ffffdffffffffe a c c fffffdfffffffe ce ce c fffffbfffffffe a a a fffffbfffffffe ec a a fffffdfffffffe a a c ffffffdffffffe c c c ffffffbffffffe a c a ffffffbffffffe a a a ffffffggfffffe c a c fffffffbfffffe a c ee fffffffbfffffe ce ee a fffffffdfffffe a c a ggggggggdgggg ec a c b a a ee b c c c c a ee a d a a a b c a ee b a a c ce ce c a d a c a b ec a c d a a c ec ec a a b a ee a b a c c d c a c c a a a b ce c a b a ee c ce ee c ec d a a a b ec a a d a c c ec a c ee d a a a b a a a d ce a a ec a ec ee b eec c b aa a ce ea a d ggggggggggggggggggg b efffffffffffffafffff b efffffffffffffafffff ce efffffffffffffafffff d efffffffffffffcfffff b effffffffffffffcffff d effffffffffffffaffff ec effffffffffffffaffff b efffffffffffffffffff b efffffffffffffffffff d efffffffffffffffffff d effffffffffgbbbdffff b effffffdbbdgffffffff b efgdbbdfffffffffffff ce cbbdgfffffffffffffffff d edbbc efffffffffffffffffff b cbbdc efffffffffffffffffff d edbbde efffffffffffffffffff ec cbbdc efffffffffffffffffff b edbbde efffffffffffffffffff b cdbdc efffffffffffffffffff d edbbde efffffffffffffffffff c cdbbc efffffffffffffffffff b ecbbde egffffffffffffffffff bbc eeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#f58589ff b,#9f366aff c,#f8b5b7ff d,#c98eabff e,#f3dbe1ff f,#b5658cff g,#dbb5c8ff ``` ```image ca ecaac caaac ecaace caaac ecaace caaac aace e dg ff db ebg bd ff gbe ebg bd db gbe bg ff db ebe bd ff gb ebg bd db gbe bg ff db gbe bd ff db ebg bd ff gbe ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Okay, on to the next area of interest. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f58083ff b,#9e3368ff c,#e7bac7ff d,#c789a8ff e,#f5e0e4ff f,#b05a85ff g,#f79fa2ff ``` ```image gg ca eae ac gg ca eae ac gg ca eae ac gg ca eae ac e e ecdfbc cdfbbbfdce ecdfbbbfdc cdfbbbfdce ecdfbbbfdce cdfbbbfdce cdfbbbfdce bbdde e ``` <!-- end of image --> The lines within area B do not intersect. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f58286ff b,#9f366aff c,#f0c0c8ff d,#cc96b1ff e,#f8dfe3ff f,#b6668dff g,#f7a5a8ff ``` ```image caa gae a eag c gae a eag ee eggggggggg gae a a g ag ec a a a g g f g ee ee ec g g g f a a a b g a a d a c c d ce c c b a g a b ec a a d a g c d g c c b a c a f a a a ce g a g f a g ee b ce ee g f a g a ec ec a g b a a ee b g c g d a ee a d a g g b g a ee b a a g ce ce c a f a c a b ec a c f a a c ec g g a b a ee a b g g c d g a c d a a a b ce g a b a ee g ce ee g c f a a a b ec a a f a c g ec g c ee f g g g b a a a d ce g g d a c ee b eec g b aa a d ea a d c b c f a ce a f c b c f a ec a b b d e d cfbfc b dbbfe b cfbbd ce dbbfe f efbbd b dbbfc f edbbd ec cfbfc f edbbde b cfbfc d edbbde d cfbfc b dbbfe bbd ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#de6272ff b,#a810d6ff c,#f0cde6ff d,#b1d7b0ff e,#d387eaff f,#97c795ff g,#e09ba0ff ``` ```image g gaa gaac caac caac caac caac caag caag caag aag c aag aa aag ag aag ac aag cac aaa ca aaa ga gaa aa gaa aa gaa ag gaa ac gaac cac gaac ga gaac ga caac aa caac dfaafffffffffffffffaaf fddagddddddddddddaagdd fdddagdddddddddaagdddd fddddadddddddaagdddddd fddddgaddddaagdddddddd fdddddaadaagdddddddddd fddddddaagdddddddddddd fddddddddddddddddddddd fddddddddddddddddddddd fddddddddddddddddddddd fddddddddddddddddddddd fddddddddddddddddddddd ccccccccccceeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb cccccccc fddddddddddddddddddddd bb fddddddddddddddddddddd b fddddddddddddddddddddd be fddddddddddddddddddddd cb fddddddddddddddddddddd be fddddddddddddddddddddd eb fddddddddddddddddddddd bc fddddddddddddddddddddd eb fddddddddddddddddddddd b fddddddddddddddddddddd bb fddddddddddddddddddddd b fddddddddddddddddddddf be cb bc eb b bb b be cb be eb bc eb b bb b be cb be eb bc eb b bb b be cb bc eb b ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#de6071ff b,#a80fd6ff c,#eca7b0ff d,#d284e9ff e,#bd4be0ff f,#f7dadeff g,#e47e8cff ``` ```image faaaf fgaa faag fgaaag caag fgaaagf caac fgaaagc gaac fgaaaac gaaf fgaaaac faaaf fgaaaac faaaf fgaaaac faag fgaaaac caag fcaaaac caac fcaaaac gaacfcaaaac gaaaaaacf faaaacf fgcf ddddddddddddddddddddddeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbeeeeeeeeeeeeeeeeeeeeee ``` <!-- 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,#de6272ff b,#a70ed6ff c,#f0bcc3ff d,#e0acf0ff e,#c561e3ff f,#f4ddeeff g,#e8929dff ``` ```image g caaf caaf caaf caac caac faac faac faac faag faag c aag aa aag ag aag ac aag faf aaa ca gaa ga gaa aa gaa aa gaa ag gaaf ac gaaf faf caaf ca caaf ga caaf aa caac aa caac ag caac ac faac faf faac ca faac gafaag aag ffffffffdddddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddffffffff eb b be fb bd db bf eb b be b be db bd eb bf eb b be fb bd db bf eb b bb b be fb bd db bf eb b be fb be db bd eb bf ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#9a9c88ff b,#8506e4ff c,#cbccc2ff d,#982ce7ff e,#e6e1e5ff f,#c080f0ff g,#b2b4a4ff ``` ```image e ac ag ag aa aa aa aa aa aa eaa eaa caae cgae ggac gcgg acgg aeca aeea a ea a a a a a ae ae ac gc gg ca ca ea a ga a aa a aa a caa a aca ae a a ae ca ae ac ac ac gc a ac gg ea gg ca ac ca ca a ea ea ea a a ag a a a a a ea a a gg ae a ae ae ae eecggaaaa ac ae eccgaaaaaaaaaaaggcee gg ac eeccgaaaaaaaaaaagcce ca gc eecggaaaaaaaaaaggcee ea gg eccgaaaaaaaaaaagccee ea caaaaaaaaaggcce a ee a a a ae eff ac effdbbbbbbbbbd gg efdbbbbbbbdffe dbd ca effdbbbbbbbdfe dbd ea efdbbbbbbbdffe dbd ea ffdbbbbbbbdfe dbd a bdffe dbd a dbd a dbd e dbd dbd dbd dbd dbd dbd dbd dbd dbd dbe ``` <!-- end of image -->
[ "" ]
I can confidently say that no lines intersect in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3ce079ff b,#66ef28ff c,#98f36fff d,#0dd958ff e,#a8f1b8ff f,#6fe89bff g,#d3f8daff ``` ```image ecbbbbbbbbbbccceegg gcbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ecbbbbbbbbbbbcg ggeecccbbbbbbbbbbbbb gcbbbbbbbbbbbce ecbbbbbbbbbbbcg gcbbbbbbbbbbbce ecbbbbbbbbbbbcg gcbbbbbbbbbbbce ecbbbbbbbbbbbcg gcbbbbbbbbbbbce gcbbbbbbbbbbbcg cbbbbbbbbce gbbbcg af dd gddd eddd e fddda ddf addddg ddd ddfdddg ddd dde ddde ddd ddg dddf eddd dd adda addde dd adda dddda dd fddd ddfdd gdd fddd ddgdd edd eddd edd dd fdd gddd add ddg add gddd ddf dde dda dddg ddg ada ddf ddde dd fdd dde ddde edd gdd ddg dddf fdd dd dd adda ddf ddg dd adda ddg ddf dd fddd dd ada gdd eddd gdd edd edd eddd fdd gdd fdd gddd dda dd ada dddg dde ddg ddf dddg dd ddf dde ddde gdd add ddg dddf fdd edd dd dddf ada dd dd adda dde dd dd adda dd dde gdd fddd dd ddf edd eddd edd fdd fdd gddd ada edd ada gddd ddf dd ddf dddg ddg dd dde dddg dd dde ddg ddde edd dda dd dddf add fdd dd ddda ddf gdd dd adda ddg dd gdd fddd dd ddg edd fddd gdd ddf fdd eddd fdd ada add gddd g fdd dda gddd gdd ddf dddg dd dde dddg ddgddg ddde ddfdd dddf adddd adda edddd adda dddd fddd dddd eda dddd e ddda fddf edde ddg dd ef ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#47e001ff b,#e378bcff c,#9bd88eff d,#edefe6ff e,#b2d9b0ff f,#7be64cff g,#eaacd3ff ``` ```image ef aaa aaad faac eaaf aaa aaa aaa aaae faaf daaa aaa aaa aaa faae caaf daaa aaa aaa aaad faac eaaa aaa aaa aaa aaae caaf ad daaa daaa aaa ddeeccfff caaaaf aaaaaaaaaaaaaaa aaaaad aaaaaaaaaaaaaaae daaaaa daaaaaaffffcfaaa faaaaf aaaf aaaaad eaaa daaaaa aaaa faaaac aaad aaaaad faaa eaaaaa aaae faaaae caaa aaaaa aaaf eaaaaf daaa aaaaae aaaa daaaaa aaad caaaaf faaa aaaaad aaac daaaaa caaa faaaaf aaaf aaaaad daaa daaaaa bbb aaaa faaaac bbb aaad aaaaad bbbd faaa eaaaaa gbbg aaafccccccccccce faaaac dbbg dfaaaeeeeeeeeeeecaaaaa bbb deaaafeeeeeeeeecaaaaf bbb decaaaeeeeeeeeaaaaae bbb deeaaaaeeeeeeaaaaa bbb deeeaaaceeefaaaaa bbbd deeefaaaeeaaaaacc gbbg deeeeaaafaaaaaeec gbbg deeeefaaaaaafeeec dbbbbbgd deeeeeaaaaaceeeec bbbbbbbbbgd deeeeecaaaeeeeeec gbbbbbbbbbbbg deeeeeeeceeeeeeec gbbbbbbbbbbbg deeeeeeeeeeeeeeec dgbbbbbbbbbbbg deeeeeeeeeeeeeeec dgbbbbbbbbbbbgdeeeeeeeeeeeeeeec dgbbbbbbbbbbbgeeeeeeeeeeeec dgbbbbbbbbbbbgeeeeeeeec dgbbbbbbbbbbbgeeeec dcebbbbbbbbbbbbec ddddddbbbbbbbbbbbbg dbbbbbbbbbbbbd dbbbbbbbbbbbbd gbbbbbbbbbbbbd gbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbd gbbbbbbb gbbb ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#46e000ff b,#e378bcff c,#b2f195ff d,#edabd5ff e,#d8f8caff f,#88ea5cff g,#64e42aff ``` ```image faaaaaac aaaaaaa caaaaaaf gaaaaaae eaaaaaag c faaaaaac fa eaaaaaag egaa faaaaaac caaaa aaaaaaa faaaaa caaaaaaf egaaaaaa gaaaaaae caaaaaaaa eaaaaaag faaaaaaaaa faaaaaac egaaaaaaaage eaaaaaag caaaaaaaaaf faaaaaafgaaaaaaaaac aaaaaaaaaaaaaaage caaaaaaaaaaaaaf gaaaaaaaaaaac eaaaaaaaaage faaaaaaaf eaaaaaac eaaage ee bdd bbbbbdd bbbbbbbbbdd bbbbbbbbbbbbbdd bbbbbbbbbbbbbbbbbdd bbbbbbbbbbbbbbbbbbbbbdd ddbbbbbbbbbbbbbbbbbbbbbbdd ``` <!-- 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,#47e001ff b,#e378bcff c,#a8f088ff d,#f5d2e8ff e,#d8f8cbff f,#7ae848ff g,#eba4d1ff ``` ```image ef aaa aaae faac caaf aaa aaa aaa aaae caaf eaaa aaa aaa aaa faac caaf aaa aaa aaa aaae faac eaaa aaa aaa aaa aaae caaf ae eaaa aaa aaa eeeccccff caaaaf aaaaaaaaaaaaaaa aaaaae aaaaaaaaaaaaaaac eaaaaa eaaaaaaffffcfaaa faaaac aaaf aaaaae eaaa eaaaaa aaaa faaaac aaae aaaaa faaa eaaaaa aaac faaaac caaa aaaaa aaaf caaaaf eaaa aaaaae aaaa aaaaa aaae caaaaf faaa aaaaae aaac eaaaaa caaa faaaaf aaaf aaaaae eaaa eaaaaa bbb aaaa faaaac bbb aaae aaaaa bbbd faaa eaaaaa gbbg aaac faaaac dbbg caaa aaaaa bbb aaaf caaaaf bbb eaaa faaaae bbb aaaa aaaaa bbb aaae caaaaf bbb faaa aaaaae gbbd aaacaaaaa dbbg caaaaaaf dbbbbbgd aaaaae bbbbbbbbbg eaaa gbbbbbbbbbbbg e gbbbbbbbbbbbg gbbbbbbbbbbbg dgbbbbbbbbbbbg dgbbbbbbbbbbbg dgbbbbbbbbbbbd dgbbbbbbbbbbbd dgbbbbbbbbbbbd dgbbbbbbbbbbbd dbbbbbbbbbbbbd dbbbbbbbbbbbbd dbbbbbbbbbbbbd dbbbbbbbbbbbgd dbbbbbbbbbbbgd dbbbbbbbbbbbgd dbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbd gbbbbbbb gbbb ``` <!-- end of image -->
[ "" ]
Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#367e38ff b,#b24167ff c,#99bd9aff d,#9a0437ff e,#cd849dff f,#d6d2cdff g,#669d68ff ``` ```image ffffeeeeebbbbbf ffffeeeeebbbbbddddddddddddddddddddddddddddddddddddddf fbddddddddddddddddddddddddddddddddddddddddddddddbbbbbeeeeeffff ddddddddddbbbbbeeeeeffff de df ed dd db de fd bd dd db df g fgaaac faaaagf caaaag gaaaac fgaaaac faaaaaf caaaagf aaag fa cf ca aaaaaaaagcf aa fccgaaaaaaaaaaagcf ag fccgaaaaaaaaaaagcf ac ffcgaaaaaaaaaaagcf fa ffcgaaaaa ca ag aa aa aa fa ac ag af aa ca ca ga ac aa aa ac ca af ac ca aa ga ga aa af ag aa af ga fa af ga ag aa ga ag fa af ag fa aa ga fa aa ac ag aa ac ca fa ac ca aa aa ca ag acac aaa gaa aa aa ``` <!-- end of image -->
[ "" ]
Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#f0a28eff b,#d0d2d9ff c,#ec856aff d,#f9dcd5ff e,#f5c0b3ff f,#f7f3f3ff g,#e3e4e8ff ``` ```image fgbbbb fgbbbg b fgbbbg fg gbbbg bf gbbbg b gbbbg b fb fg b gf b b bf b gg fb b gf b b b b gf fb fg gf b b b b b fb gg f fb b b bf gg b b b gf fg b b b gg fb f b dc b aa bf ce gg cf b fc b dc b ea gf ae fg cd b cf b fc b dc gg aa fb ce b cf b fc dc ea ae cd ecf acd dca acd fccf ece acd dca ece fccf dca acd fccf ece acd dca ece fccf ece acd dca ece facf ca ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#b1a187ff b,#f44257ff c,#987657ff d,#e9d1cdff e,#e77b81ff f,#b2d7b1ff g,#97c996ff ``` ```image d ebbe dbbe dbbbd ebbd accgggebbegggggggggggggggggggggggggggggggggggggggggggf cfgccffffabbeffffffffffffffffffffffffffffffffffffffffg cfffaccfffffabbbaffffffffffffffffffffffffffffffffffffg cfffffaccfffffffebbafffffffffffffffffffffffffffffffffg cfffffffaccffffffffebbeffffffffffffffffffffffffffffffg cfffffffffacafffffffffabbefffffffffffffffffffffffffffg dafffffffffffacaffffffffffabbbafffffffffffffffffffffffg agfffffffffffffacaffffffffffffebbeffffffffffffffffffffg cffffffffffffffffacafffffffffffffebbefffffffffffffffffg cffffffffffffffffffacaffffffffffffffabbbffffffffffffffg cffffffffffffffffffffacafffffffffffffffabbbaffffffffffg cffffffffffffffffffffffacafffffffffffffffffebaffffffffg daffffffffffffffffffffffffacafffffffffffffffffbbfffffffg ffffffffffffffffffffffffffffacafffffffffffffffffbefffffg adffffffffffffffffffffffffffffccaffffffffffffffffebafffg c ffffffffffffffffffffffffffffffccaffffffffffffffffbbffg c ffffffffffffffffffffffffffffffffccgffffffffffffffffbbg c ffffffffffffffffffffffffffffffffffccgfffffffffffffffabd c ffffffffffffffffffffffffffffffffffffccgffffffffffffffgeb da ffffffffffffffffffffffffffffffffffffffccgffffffffffffg bb ad ffffffffffffffffffffffffffffffffffffffffccgffffffffffg dbe c ffffffffffffffffffffffffffffffffffffffffffccgffffffffg ebd c ffffffffffffffffffffffffffffffffffffffffffffccfffffffg bb c ffffffffffffffffffffffffffffffffffffffffffffffccfffffg dbe c ffffffffffffffffffffffffffffffffffffffffffffffffccfffg ebd da ffffffffffffffffffffffffffffffffffffffffffffffffffccfg bb ff ffffffffffffffffffffffffffffffffffffffffffffffffffffcg dbe a ffffffffffffffffffffffffffffffffffffffffffffffffffffaa ebd c gggggggggggggggggggggggggggggggggggggggggggggggggggggc bb c cd c c c c da da ad c c ad c c c c c dc da c ff aa a c c cd c c c c c da da c ad ad c c d c dc c fa c cd c c da c ad c c dc c fa c cd c c da c ad c c dc 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,#b0957eff b,#f64057ff c,#987455ff d,#efdad8ff e,#f77181ff f,#faa5afff g,#cbb9aaff ``` ```image dcad febbbbefd gcccad dfbbbbbfd acgaccad dfebbbbef acd daccad dfebbbbefd cc daccad febbbbefd ca daccad dfbbbbbfd dca gaccad dfebbbbef gcg gcccad febbbbefd gcg gcccad febbbbefd acd gcccad dfbbbbbed cc gcccad dfebbbbef cc gcccad febbbbefd ca gcccad debbbbefd cg gcccad dfbbbbbed cg gcccad dfebbbbef cd gcccgd febbbbefd cd gcccg debbbbefd c gcccg dfebbbbed a gcccg dfebbbbef a gcccg febbbbefd g gcccg debbbbbfd g dgcccg dfebbbbed d dgcccg dfebbbbf dacccg febbed dacccg debbed dacccg fbbbf dacccg fbbbd dacccg debbed dacccg dbbbf dacccg fbbbf dacccg debbed daccad debbf daccad fbbbf daccad ebbed daccad debb daccad fb daccad daccad gaccad gcccad gcccad gcccad gcccad gcccad gcccad gcccad gcccad gcccgd gcccg gcccg gcccg gcccg gcccd daca cc gc ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b0957eff b,#f64258ff c,#987355ff d,#f3e7e5ff e,#f8808fff f,#e9c5c3ff g,#c7b4a3ff ``` ```image f ebbe fbbed fbbbf debbf gca ebbe adfca fbbed c fca fbbbf c fca debbf c fca ebbe c gca fbbed fg gca fbbbf af gcg debbf c gcg ebbe c gcg fbbed c gcg dbbbf c gcg debf da acg bb gg acf dbe ad acf ebf c acf bb c acf dbe c acf fbf c acf ebd fg ccd bb af ccd fbe c ccd ebd c ccd bb c ccd dbe c dccd ebf da dccd bb gg dc dbe ad gg ebf c c bb c ad d c c c c fg fa af c c af c c c cd c dc da c gg gg ad c c ad c c c c c fa fg c af af c c d cd dc c gg c ad c c fa c af c cd dc c gg c ad c c fa c af c cd dc c ``` <!-- end of image -->
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Let's examine this image for potential line intersections. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#421778ff b,#c26773ff c,#d3989fff d,#9f8cb9ff e,#add4adff f,#6f4f95ff g,#dac6d4ff ``` ```image c bbbg bbb cbbc bbb cbbc bbb cbbc bbb cbbc bbb cbbb bbb gbbb bbb gbbb eeeeeeeeeeee bbb eeeeeeeeeeee gbbb eeceeeeeeeee bbb eebbbbbbbbbcgg gbbb eebbbbbbbbbbbbbbbbbbccg bbbg eeffbbbbbbbbbbbbbbbbbbbbbbbbbbcgg bbb eefaaeeeeeeegccbbbbbbbbbbbbbbbbbbbbbbbbccg bbbg eefaadeeeeee ggcbbbbbbbbbbbbbbbbbbbbbbbbbcgg bbb eedaadeeeeee gccbbbbbbbbbbbbbbbbbbbbbbbbccg bbbg eeeaafeeeeee ggcbbbbbbbbbbbbbbbbbbbbbbbbbccbbb eeeaafeeeeee gccbbbbbbbbbbbbbbbbbbbg eeeaaaeeeeee ggcbbbbbbbbbb eeeaaaeeeeee gg eeeaaaeeeeee eeeaaaeeeeee eeeaaaeeeeee eeeaaaeeeeee eeefaaeeeeee daag daad gg gaad aaa aaf aaa aaa aaa aaa daad aaa aaa aaa aaa aaa gaaf aaa faag faa aaa daag aaa daad gaaf gaad faag aaf aaa aaa aaa aaa daad aaa aaa aaa aaa aaa aaa aaa daad faa aaa daag aaa daad gaaf gaad faag aaf aaa aaa aaa aaa gaaf aaa faag aaaaf aaa faaaaaad aaa gaaaaaaaad daad daaaaaaaag aaa daaaaaaaag aaa faaaaaaaf aaa faaaaaaafg daad gaaaaaaaaafd aaa gaaaaaaaaaaafg aaa gfaaaaaaaaaaaad gaaf daaaaaaaaaaaafg faag gfaaaaaaaaaaaad aaa daaaaaaaaaaaafg aaa gfaaaaaaaaaaaad gaaf daaaaaaaaaaaafg aaa gfaaaaaaaaaaaad aaa dfaaaaaaaaaaaa gdaaaaaaad dfaa ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#421778ff b,#c16773ff c,#d4959dff d,#8b70acff e,#b5a5caff f,#6c3f88ff g,#e5d1dbff ``` ```image gggg cbbbbbbcccgggg bbbbbbbbbbbbbbbbbcc gbbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbb ffffbbbbbbbbbbbbbbb faaaaa gggcccbbbb faaaaa g daaaaag daaaaag eaaaaae eaaaaae eaaaaad gaaaaad gaaaaad aaaaaf aaaaaf faaaaa faaaaa daaaaag daaaaag eaaaaae eaaaaae eaaaaad gaaaaad gaaaaad aaaaaf aaaaaf faaaaa ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#421778ff b,#c26773ff c,#d79da4ff d,#8c72acff e,#b2a1c8ff f,#694591ff g,#e0cdd9ff ``` ```image c bbbg bbb bbbc bbb cbbc bbb cbbc bbb cbbb bbb cbbb bbb gbbb bbb gbbb bbb gbbb gg bbbg bbbbbbbbbcgg gbbb bbbbbbbbbbbbbbbbbbccg bbbg ffbbbbbbbbbbbbbbbbbbbbbbbbbbcgg bbb faa ggccbbbbbbbbbbbbbbbbbbbbbbbbccg bbbg daag gccbbbbbbbbbbbbbbbbbbbbbbbbbccg bbb eaae gccbbbbbbbbbbbbbbbbbbbbbbbbccgg bbbg gaad ggcbbbbbbbbbbbbbbbbbbbbbbbbbccbbb aaf gccbbbbbbbbbbbbbbbbbbbc aaa ggcbbbbbbbbbb aaa gc aaa aaa aaa aaa faa daag eaae eg gaad aaa aaf aaa aaa aaa aaa daae aaa aaa aaa aaa aaa gaaf aaa daae faa aaa daag aaa eaae gaad gaad faag aaf aaa aaa aaa aaa eaad aaa aaa aaa aaa aaa aaa aaa daae faa aaa daag aaa eaae gaaf gaad faag aaf aaa aaa aaa aaa eaad aaa faag aaaaf aaa faaaaaad aaa gaaaaaaaae eaad eaaaaaaaae aaa daaaaaaaag aaa daaaaaaafg aaa faaaaaaadg daae gaaaaaaaaafe aaa eaaaaaaaaaaadg aaa efaaaaaaaaaaafe gaaf daaaaaaaaaaaadg faag gfaaaaaaaaaaaae aaa eaaaaaaaaaaaafg aaa gdaaaaaaaaaaaad eaad efaaaaaaaaaaafe faag gdaaaaaaaaaaaadgaaa efaaaaaaaaaaaa gdaaaaaaae efaa ``` <!-- end of image -->
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No intersections here, it's plain to see.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b49885ff b,#c8e437ff c,#e2f096ff d,#d5c6bcff e,#efeed8ff f,#d5ea67ff g,#c1aa9bff ``` ```image ga aaaa daaaaaa gaag aad aaae eaae daaa daa aaag gaa eaaae aaa daaa aag aaad aad eaaae eaae gaaa daa aaad gaa eaaa aaa gaag aag aaad aad daaa eaae gaag daa aaae gaa daaa aaa aaag aag eaaae aad daaa eaae aaad daa eaaae gaa gaaa aaa aaad aag eaaa aad gaag eaae aaad daa daaa gaa gaag a aaae daaa aaag eaaae daaa aaad eaaae gaaa aaad eaa g b fbbe bbbe fbbc cbbf ebbb ebbb bbb bbbe bbbe fbbc cbbf ebbb efbbc ebbb cbbbbbbbb bbb efbbbbbbbbfe bbbe ecbbbbbbbbfc bbbe cfbbbbbbbbce fbbc ecbbbbbbbbfe cbbf cbbbbbbbbbc ebbb efbbbbbbbbfe bbb cbbbbbbbbfc bbb efbbbbbbbbce bbbe ecbbbbbbbbfe fbbfbbbbbbbbc fbbbbbfe ec ``` <!-- 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,#088848ff b,#f1cae4ff c,#8fc799ff d,#4ba877ff e,#c7dccfff f,#f4edf1ff g,#b1d7b1ff ``` ```image gccccccccccdacccc cggggcdaaaaaadggg ddaaaaaaadcgggggg gdaaaaaaadcggggggggggg fcdaaaaaadccgggggggggggggggg fcaaaaaaadg cgggggggggggggggg ecaaaaaaade cgggggggggggggggg edaaaaaaace cgggggggggggbeggg gdaaaaaaacf cggggggggggbbgggg gdaaaaaadcf cgggggggggebegggg fcaaaaaaadg cgggggggggbbggggg ecaaaaaaade cggggggggbbgggggg edaaaaaaade cgggggggbbggggggg gdaaaaaaacf cggggggebeggggggg eaaaaadcf cggggggbbgggggggg faag cgggggbbggggggggg aa cggggbbeggggggggg aaf cggggbbgggggggggg aae ffffbbfffffffffff dac bb cad fbf eaa bbb faa bbb aa bbf af bbf fbb fbb bbb bbf bbf fbb fbb bbb bbb bbf bb fbb bbb bbb bbf bbf fbb fbb bbb bbf bbf fbb fbb bbb bbb bbf bb fbb bbb bbb bbf bbf fbb bbb bbb bbf bbf fbb fbb bbb bbb bbf fbb fbb bbb bbb bbf bbf fbb bbb bbb bbf bbf fbb bb f ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#078748ff b,#f1cae4ff c,#70b995ff d,#3ca06fff e,#c9e5d7ff f,#f4e8f1ff g,#a0d1b8ff ``` ```image fgcdaaf egcdaaaaaaag egcdaaaaaaaaaaaac fegcdaaaaaaaaaaaaadcge egcdaaaaaaaaaaaaadcge aaaaaaaaaaaadcge aaaaaaddcgf adcgef f fbbf fbbbf bbbb bbbbf fbbbf fbbbb bbbb bbbbf fbbbf bbbb bbbb fbbbf fbbbf bbbb bbbb fbbbf fbbbb bbbb bbbbf fbbbf ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#068747ff b,#f1cae4ff c,#81c2a1ff d,#2a9861ff e,#bcdecdff f,#f4e9f1ff g,#53ac80ff ``` ```image fcdf ecaaaaaac egaaaaaaace egaaaaaadcf cdaaaaaadc fcdaaaaaage ecaaaaaaage egaaaaaaace bf egaaaaaadcf bb cdaaaaaadcf fbf fcdaaaaaage bb ecaaaaaaage bb egaaaaaaage bb egaaaaaadcf fbf eaaaaadcf bb faae bb aa bbf aaf bb aae bb dac bb cag fbf ead bbb faa bbb aa bbf d bbf fbb fbb bbb bbf bbf fbb fbb bbb bbb bbf bb fbb bbb bbb bbf bbf fbb fbb bbb bbf bbf fbb fbb bbb bbb bbf bb fbb bbb bbb bbf bb fbb fbb bbb bbf bbf fbb fbb bbb bbf bbf bb fbb bbb bbb bbf bb fbb bbb bbb bbf bbf fbb bb f ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#8ccc99ff b,#cce36aff c,#05b569ff d,#e2efa9ff e,#36c081ff f,#b1d7b1ff g,#eff7ebff ``` ```image g gbb bbb dbb bbd bbb gbbg bbb dbb bbd bbb gbbg bbb dbb bbd bbb gbbg gg bbb bbb dbb gbb bbd bbd bbb dbb gbbd bbd bbb bbb dbb bb bbb bbb bbb dbb bbd bbd bbb dbb dbbg bbg bbb bbb dbb gbb bbd bbd bbb dbb gbbg bbg bbb bbbgggggggggggggggggggggggggggggggggggggg dbb gbbfffffffffffffffffffffffffffffffffffffa bbd bbbffffffffffffffffffffffffffffffffffffa bbb dbbffffffffffffffffffffffffffffffffffffa gbbg gbbffffffffffffffffffffffffffffffffffffa bbb f gbbbfffffffffffffffffffffffffffffffffffa dbb gccg gfbbfffffffffffffffffffffffffffffffffffa bbd ecccc gfbbbffffffffffffffffffffffffffffffffffa bbb cccce gffbbbfffffffffffffffffffffffffffffffffa gbbg gccccfffbbbbbfffffffffffffffffffffffffffffffa bbb accccaffbbbbffffffffffffffffffffffffffffffa dbb eccccfffbbbbffffffffffffffffffffffffffffa bbd gcccceffbbbbbffffffffffffffffffffffffffa bbb gfaccccaffbbbbfffffffffffffffffffffffffa gbbg gfffeccccaffbbbbfffffffffffffffffffffffa bbb gfffffeccccffbbbbbfffffffffffffffffffffa dbb gfffffffcccceffbbbbffffffffffffffffffffa bbd gffffffffaccccafbbbbbffffffffffffffffffa bbb gffffffffffeccccafbbbbbffffffffffffffffagbbg gffffffffffffeccccffbbbbfffffffffffffffabbb gffffffffffffffccccefbbbbbfffffffffffffbbb gfffffffffffffffaccccafbbbbffffffffffffbbd gfffffffffffffffffeccccffbbbbfffffffffbbb gfffffffffffffffffffeccccfbbbbbfffffffbbd gfffffffffffffffffffffccccefbbbbfffffbbb gffffffffffffffffffffffaccccabbbbbfffbba gffffffffffffffffffffffffeccccfbbbbbbbba gffffffffffffffffffffffffffeccccfbbbbbfa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaccccebbbbaf fccccfg accccg eccce gcccca fccccf accccg eccce gcccca fccccf accccg eccce gcccca fccccf accccg eccce gccccecccccccccccc fccccccccccccccc aeeaaafffgg ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#44c78fff b,#cde469ff c,#06b56aff d,#dbeb96ff e,#8cdcb9ff f,#cef0e1ff g,#eef5cdff ``` ```image bbbg bbbb bbbbg bbbbd bbbbb gbbbbd bbbbb dbbbbg gbbbbd bbbbbg gbbbbd bbbbb dbbbbg gbbbbd dbbbbbg gbbbbbbdg dbbbbbbbd e dbbbbbbbbg caf gdbbbbbbbd cccaf gbbbbbbbbg ccccce dbbbbbbbdg ccccccce gbbbbbbbbd ccccccccaf dbbbbbbbbg eccccccccaf gdbbbbbbbdg facccccccce gbbbbbbbbd facccccccce dbbbbbbbbg eccccccccaf gdbbbbbbbd eccccccccaf gbbbbbbbbg facccccccce dbbbbbbbbg facccccccce gbbbbbbbbd eccccccccaf gbbbbbbbbg eccccccccaf dbbbbbbbdg facccccccce gbbbbbbbbd facccccccce dbbbbbbbbg eccccccccaf gdbbbbbbbd eccccccccaf gbbbbbbbbd facccccccce dbbbbbbbbg facccccccce gdbbbbbbbd eccccccccaf gbbbbbbbbg eccccccccaf dbbbbbbbdg facccccccce gbbbbbbbbd facccccccce dbbbbbbbbg eccccccccaf gdbbbbbbbdg g eccccccccaf gbbbbbbbbd d facccccccce dbbbbbbbbg gb facccccccce gdbbbbbbbd bb eccccccccaf gbbbbbbbbg dbb eccccccccaf dbbbbbbbdg gbbb facccccccce gbbbbbbbbd dbbb facccccccce dbbbbbbbbg gbbbb eccccccccafgdbbbbbbbdg bbbbb eccccccccafgbbbbbbbbddbbbbd facccccccce dbbbbbbbbbbbbg faccccccccegdbbbbbbbbbd eccccccccafgbbbbbbbb ``` <!-- end of image --> The lines within area A do not intersect. 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,#68d1a4ff b,#cde46aff c,#05b569ff d,#e1eea5ff e,#28be7dff f,#aee6ceff g,#edf7deff ``` ```image g gbb bbb dbb bbd bbb gbbg bbb dbb bbd bbb gbbg bbb dbb bbd bbb gbbg g bbb bbb dbb gbb bbd bbd bbb dbb bbg bbg bbb bbb dbb bb bbb bbb bbb gbb bbd bbd bbb dbb gbb bbg bbb bbb dbb gbb bbd bbd bbb dbb gbbg bbg bbb bbb dbb gbb bbd bbd bbb dbb gbbg bbg bbb f bbb dbb fccg bb bbd eccce bbb bbb cccca gbbbg gbbg fccccf dbbbb bbb accccg bbbbd dbb eccce gbbbb bbd cccca dbbbb bbb fccccf bbbbg gbbg accccg dbbbb bbb eccce bbbbd dbb cccca gbbbbg bbd fccccf dbbbb bbb accccg bbbbd gbbg eccce gbbbb bbb cccca dbbbb dbb fccccf bbbbg bbd accccggbbbb bbb eccce bbbbd bbg ccccagbbbbg bbb fccccfdbbbb gbb accccgbbbbdbbb ecccegbbbbb gccccadbbd fccccfg accccg eccce gcccca fccccf accccg eccce gcccca fccccf accccg eccce gcccca fccccf accccg eccce gcccceeccccccccccc fccccccccccccccc aeaaaafffgg ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#967d25ff b,#9974d6ff c,#bca4e3ff d,#b8a96fff e,#e1d8e2ff f,#96c995ff g,#b3d6b0ff ``` ```image e dg a dg a dd a gd a daaaaaaaaaaaaaaddddggeee ed ea eeeggdddddaaa a a a ea a ae a ag ae a ga ag a a ad a a ad ae ae dd a dd da de ea da a a ga dg ae ea a dd ea dd ea a a a a gd a a a ag a gd ga a a a d ea a de a ae ed eadd ffffffffffafffff aa ggggggggggaggggg b ggggggggggaggggg b ggggggggggaggggg b ggggggggggaggggg ec ggbgggggggaggggg b cbbbgggggggdfgggg ce cbbegggcggggggddgggg b cbbe gggbgggggggagggg b ebbe gggbgggggggagggg b ebbc gggbgggggggagggg b ebbc gggbgggggggagggg ec cbc ggggcggggggdgggg b cbb ggggbggggggggggg ce cbbe ggggbggggggggggg b cbbe ggggbggggggggggg b ebbe ggggbggggggggggg ec ebbc gggggbgggggggggg b bbc gggggbgggggggggg ce cbc fffffbffffffffff b cbbe b b cbbe ce ce ebbe ec b cbbc b b cbbe b ecebbbe b bc ce c b b b ce c b b b ce c b b b ce c b b b ee b b b ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#957a21ff b,#976fd6ff c,#cdbbebff d,#d3c8a4ff e,#af91dfff f,#b4a263ff g,#e9e3e8ff ``` ```image gaf af aa fa fag fad dad dad gaf af aa gcec fa cebbbb fag ebbbecebg fag becg cbc dad g gbc dad be gaf bb af ebg aa cbc fa gbc fag be fag eb dad ebg dad cbc gaf gbc dg be eb ebg cbc gbc be eb ebg cbc gbe be eb ebg ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#947a20ff b,#9a74d7ff c,#c3ace7ff d,#c7b98aff e,#ded6bbff f,#ac9853ff g,#e9e1efff ``` ```image g fe a dd a dd a ef a faaaaaaaaaaaaafffdddeeegg ef ea geeedddffffaa a a a gf ag ag a fd ae ga ef ae ag a ad a a ff fg ae ff a df ff fe ga da a a ea fe ag ea a fd ga dd ea a a a a dd a a a fe a ef df a a ga f ef a de a ae ed gadf f aa a b a gb a b a cc gb f b cbbcg de cg cbbg gc ed b cbbg b f b cbbc b a gb gbbc b a b gbbc cg a cc bbc gc d b cbbg b cg cbbg b b cbbg b b gbbc cg gc gbbc gc b gbbc b cg cbb b b cbbg b b cbbg cg cg cbbc gc b cbbc b b cbbc b ccgbbbg b bc cg gc b b b cg gc b b b cg c b b b cg b b b b cc b b b ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f0a66ff b,#a50cd0ff c,#dac3e6ff d,#9a93aeff e,#bf5bdcff f,#4e2f7cff g,#aed5aeff ``` ```image bc bbb cbbbbe cbbbbc ebbbbc ebbbb bbbbb bbbbb bbbbb bbbbe cbbbbc ebbbbc ebbbb bbbbb bbbbb bbbbb gggdgggggggggg bbbbe ggebbggggggggg cbbbbe ggbbbbeggggggg cbbbbc ggbbbbbbdggggg ebbbb ggfabbbbbbgggg bbbbb ggdaafbbbbbdgg bbbbb gggaaadbbbbbbg bbbbb gggfaafgdbbbbbe bbbbe gggdaaagggbbbbbbc cbbbbe ggggaaadggggbbbbbb cbbbbc ggggfaafgggggebbbbbc ebbbbc ggggdaaagggggg bbbbbb ebbbb gggggaaadggggg cbbbbbe bbbbb gggggfaafggggg ebbbbbc bbbbb gggggdaaaggggg bbbbbb bbbbb ggggggaaadgggg ebbbbbc bbbbe ggggggfaafgggg bbbbbb cbbbbc ggggggdaaagggg cbbbbbe ebbbbc gggggggaaadggg ebbbbbc ebbbb gggggggfaafggg bbbbbb bbbbb gggggggdaaaggg ebbbbbc bbbbb aaac bbbbbb bbbbb faaf cbbbbbebbbbe caaa ebbbbbbbe aaac bbbbbc faaf ebb caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaf caaa aaac faaaaaaaffddc caaaaaaaaaaaaaaaaaaaffdcc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafddcc cddffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafddc cddffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffddc cddfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ccddfaaaaaaaaaaaaaaaaaa cddffaaaaaa ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f0a66ff b,#a40bcfff c,#cd78e4ff d,#917caeff e,#b538d8ff f,#4e277eff g,#dcc9e7ff ``` ```image gc bbeg cbbbbc gbbbbbbbg bbbbbbbbbeg gbbbbbbbbbbbc dbbbbbbbbbbbeg gafbbbbbbbbbbbc faabbbbbbbbbbbbg daaafbbbbbbbbbbbeg gaaaaafbbbbbbbbbbbc faaaaafebbbbbbbbbbeg daaaaaagcbbbbbbbbbbbc gaaaaaad cbbbbbbbbbb faaaaaf gebbbbbbbb daaaaaag cbbbbbbb gaaaaaad gebbbbb faaaaaf cbbbb daaaaaag cbb gaaaaaad ge faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag gaaaaaad faaaaaf daaaaaag ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#2f0a66ff b,#a50cd0ff c,#ca96deff d,#8771a6ff e,#be50ddff f,#4e2d7dff g,#dccce7ff ``` ```image bg bbb gbbbbe gbbbbc cbbbbg ebbbb bbbbb bbbbb bbbbb bbbbe gbbbbc cbbbbg ebbbb bbbbb bbbbb bbbbb c bbbbe ebb gbbbbc bbbbe cbbbbg bbbbbbg ebbbbg fabbbbbb ebbbb gaafbbbbbc bbbbb aaagbbbbbb bbbbb faaf gbbbbbe bbbbe gaaa ebbbbbg gbbbbe aaag bbbbbb cbbbbc faaf cbbbbbc ebbbbg gaaa bbbbbb ebbbb aaag gbbbbbe bbbbb faaf ebbbbbg bbbbb gaaa bbbbbb bbbbe aaag cbbbbbc gbbbbe faaf bbbbbb gbbbbc gaaa gbbbbbe cbbbbg aaag ebbbbbg ebbbb faaf bbbbbb bbbbb gaaa ebbbbbc bbbbb aaag bbbbbb bbbbb faaf cbbbbbebbbbe gaaa ebbbbbbbc aaag gbbbbbg faaf ebb gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaf gaaa aaag faaaaaaafddcg gaaaaaaaaaaaaaaaaaaafddcg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafddcg gcddfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafdcg gcdffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffdcg ggddfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gcddfaaaaaaaaaaaaaaaaaa gcddfaaaaaa ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#2994afff b,#db5212ff c,#bddee6ff d,#eeb194ff e,#72b8caff f,#f7d9ccff g,#e58456ff ``` ```image cac e ea a a a ae a ca e ac cc ea e ca a ae a ca a ac e ee cc ca e ae a ea a ac a ee e ca cc ac e ea a ac a ae a ca e ac cc ea e a a ae a ca a ac e ea cc a e ae a ca a ac a ea e ca cc ae e ca a ac a ee a ca e ae cc a e a a a a e a a e ce cc a e cc a a a ec a a e e cc a e a a a a a a e e a cc ce e a e cc fg a dbbgddg fgbbgf gd dbbbd gf fgbbgf bf dbbbd b fgbbgf b dbbbd b fgbbgf b dbbbd fb fgbbgf dg dgbbd dg fgbbgf gd dgbbd bf dbbgf b bbd b ``` <!-- end of image -->
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Let's examine this image for potential line intersections. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#7b6762ff b,#970cceff c,#563734ff d,#b967daff e,#e2cae9ff f,#9db696ff g,#b1d6b1ff ``` ```image a fccg ccccc acccca cccccg eccccc acccca cccccg eccccc acccca cccccg eccccc fcccca cccccg eccccc fcccca cccccf eccccc fcccca cccccf ccc eccccc ccc fcccca ccc accccf ccc eccccce ccc fcccca ccc accccf cca eccccce cca fcccca ccf accccf ccf eccccce ccg fcccca ecce accccf gcce ccccce fcc fccccc fffffffffffffffg fcc accccf gggggggggggggggf acc cccccegggggggggggggggf acc fcccccggggggggggggggfeccc accccaggggggggggggfcccc cccccfggggggggggfcccc fcccccgggggggggccccc ggaccccagggggggccccc ggggcccccfggggfccac gggggfcccccgggccc gggggggaccccagccc ggggdggggccccccca ggbbbbggggfccccc dbbbbbdgggggaccc dbbbbbbbbgggggggaf ebbbbbdgdbbbgggggggf bbbbbdggggbbbfggggggf bbbbbd ggggggbbbggggggf bbbbbb ffffffbbbdfffffg dbbbbb bbb dbbbbbe ebbb ebbbbbe bbbe ebbbbbd bbb bbbbbd dbbd bbbbbb bbb dbbbbb ebbb dbbbbbe bbbe ebbbbbe bbb ebbbbbd dbbb bbbbbd bbb bbbbbb ebbb dbbbbb bbbd dbbbbbe bbb ebbbbbe dbbb ebbbbbd bbbe bbbbbd bbb bbbbbb dbbd dbbbbb bbb dbbbbbe ebd ebbbbbe ebbbbbd bbbbbd bbbbbd dbbbbb dbbbbb dbbbbbe ebbbbbe bbbbd ebd ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#7b6361ff b,#980cceff c,#563835ff d,#c06be1ff e,#e0cbe5ff f,#beb2b1ff g,#9f8e8cff ``` ```image g ccf cccae cccccg cccccccf ccccccccae acccccccccg fccccccccccf gcccccccccae e eacccccccccg g fccccccccccf a gcccccccccae ec eacccccccccg gc fccccccccccf ac gcccccccccae ecc eacccccccccg fcc fccccccccccfacc ede gcccccccccccc ebbbbd eacccccccccc edbbbbbbe fccccccccc edbbbbbbbbb gccccccc dbbbbbbbbbbbd eaccccc bbbbbbbbbbbbbbe faccc bbbbbbbbbbbbbbd fag bbbbbbbe bbbbbbe bbbbbd ebbbbbb bbbd dbbbbbd bd ebbbbbbe e dbbbbbb bbbbbbd ``` <!-- 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.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#806866ff b,#970bceff c,#563835ff d,#ce8ce7ff e,#e5d5e7ff f,#b1a2a1ff g,#b24bdaff ``` ```image a fcce ccccc acccca cccccf eccccc acccca cccccf eccccc acccca cccccf eccccc fcccca cccccf eccccc fcccca cccccf eccccce fcccca cccccf ccc eccccce ccc fcccca ccc cccccf ccc eccccce ccc fcccca ccc accccf cca eccccce cca fcccca ccf accccf ccf eccccce eccf fccccc ecce accccf fcce eccccce fcc fccccc fcc accccf acc ccccce acc fccccc eccc accccf cccc ccccce ecccc fccccc ccccc accccf ccccc ccccce eccace fccccc acc acccca ccc d ccccccca gbbb fccccc gbbbbbd accc dbbbbbbbb a ebbbbbd dbbb ebbbbbd bbbe bbbbbg bbb gbbbbb gbbg gbbbbb bbb dbbbbbe ebbb ebbbbbd bbbe ebbbbbd bbb bbbbbg gbbg gbbbbb bbb gbbbbb ebbb dbbbbbe bbbd dbbbbbd bbb ebbbbbd dbbg bbbbbg bbb bbbbbg ebbb gbbbbb bbbd dbbbbbe bbb dbbbbbe dbbb ebbbbbd bbbe bbbbbg bbb bbbbbg gbbd gbbbbb bbb dbbbbbe dbg dbbbbbe ebbbbbd bbbbbg bbbbbg gbbbbb gbbbbb dbbbbbe ebbbbbd bbbbd ebg ``` <!-- 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,#aff14fff b,#954dcfff c,#99f20fff d,#c4a0e2ff e,#d9f9a7ff f,#b1d7b1ff g,#96c995ff ``` ```image e acgggggggggggggggggggggggggggf gcafffffffffffffffffffffffffg dffacffffffffffffffffffffffffg bbfffcaffffffffffffffffffffffg bbfffacfffffffffffffffffffffg fbbffffcafffffffffffffffffffg ffbbffffacffffffffffffffffffg fffdbfffffcaffffffffffffffffg ffffdbfffffacfffffffffffffffg fffffdbffffffcafffffffffffffg fffffffbffffffacffffffffffffg ffffffffbfffffffcaffffffffffg fffffffffbfffffffacfffffffffg ffffffffffbffffffffcafffffffg fffffffffffbffffffffacffffffg ffffffffffffbfffffffffcaffffg fffffffffffffbfffffffffacfffg ffffffffffffffbffffffffffcafg fffffffffffffffbffffffffffacg ggggggggggggggggbgggggggggggca eeeeeaaaaa bd ac eccccccccccccccaaaaeeeeec bd ca ac c bd ac ca c bd ca ce c bb ac ec c bb ca ec c bb ac ac c bb ca ca c db acce c db a db ae db ae db ee db ea b ea b a b c b c b c b c b c bd c bd c bd c bd c bd c bd a bb ae bb ae bb ee bb ea db ea db a db c db c db c db c b c b c b c b a b b b bd bd bd bd bd bd bb bb bb bb db db db b b ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b8f559ff b,#9246cfff c,#9bf214ff d,#e5d3f3ff e,#daf9a9ff f,#ab71daff g,#c69ee5ff ``` ```image cce acca eccce acca eccce d acca bf eccce fbbd acca fbbd eccce fbbd acca fbbd eccce fbbd acca fbbd eccce gbbd acca gbbd eccce gbbd acca gbbg eccce gbbg acca gbbg eccce dbbg acca dbbg eccce dbbg acca dbbf eccce dbbf acca dbbf eccce dbbf acca dbbf eccce dbbf acca fbf eccce fbf acca fbbd eccce fbbd acca fbbd eccce fbbd acca fbbd eccce fbbd acca gbbd eccce gbbd acc ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#b8f558ff b,#9246cfff c,#9af210ff d,#d8beeeff e,#d6f9a0ff f,#b27dddff g,#f1f4eaff ``` ```image e acg gca d acg fb gca fb acg fb gca fb acg fb gca db acg db gca db acg db gca gb acg gb gca gbg acg bg gca bg acg bd gca bd acg bd gca ggeeeeaaaaa bd acg eccccccccccccccaaaaeeeegc bf gca ac c bf acg ca c bf gca ce c bf acg gcg c bf gca ec c fb acg ac c fb gca ca c fb acce cg fb gg ag fb ae db ae db ee db ea db ga gb gc gb c gbg c bg c bg c bd c bd c bd c bd c bf c bf c bf cg bf ae bf ae fb ee fb ea fb ea fb ga fb c db c db c db c db c gb c gb c gbg a bg bg bd bd bd bd bf bf bf bf bf fb fb fb db db gbg b ``` <!-- end of image -->
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Zero intersections in this image, no doubt about it.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#917f46ff b,#34d2e8ff c,#6a5306ff d,#bbeff6ff e,#baaf8cff f,#74e0efff g,#e0dbcbff ``` ```image c gccg ecc cca cce ecc cca cce ecc acc cce ecc acc acg cce cccce gccg cc gccca acc ce acccg cca cc eccce gccg gcg gccca acc b cc acccg cca fb ecg eccce gccg dbf cc gccca acc bb ac cccc cca bb ca acccccg dbd ac ecc bb ca bb cc dbd gce bb cc bb gcg fbd cc bf ec bb cc fb ac dbf ca bb cc bb ce dbd cc bb gce bb cc bb dbd ecg dbbd bb cc bbbf bb ec fb bb fbd ca bf db bf ac bb bf bb ca fb bb fb cc bf fb bf gce bb bd bb cc bb bb bb gcg fbd fb dbf cc dbf db bb ecg bb bf bb cc bb bb dbd ac bb db bb ca fbd bd bb ac dbf bb fbd ce bb fb bf cc bb db bb ce bb bf fb bb bb bf fbd db bb dbf bd fb bb bb dbf bb fb bb bb b bb fbd bf dbd dbf bb bb bb db bb bb bd fbd bb bb bb bb fb bb fbd b fb bf bf bf bb bb db fb bd dbf bb bb fbbb bbd bb ``` <!-- end of image -->
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This image has no intersections, it's quite obvious.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#738a0bff b,#224b6bff c,#9eb0beff d,#8da038ff e,#638096ff f,#b1be78ff g,#d5dcc9ff ``` ```image bc gbbbe gbbbb bbbbc ebbbe cbbbb gbbbbg ebbbbc cbbbbbbeg cbbbbbbbc gebbbbbbeg cbbbbbbbc gebbbbbbeg cbbbbbbbc gebbbbbbeg cbbbbbbec cebbbbbbc gebbbbb cbb bb bb ebc bb cbe bb bb bb bb ebc bb gbe bb bb ebg bb cbc bb gbe bb bb ebg bb cbc bb af gbe aa bb da bb gag ebg ad bb aa cbc fa bb af gbe aa c aa fa af aa da gag ad aa fa af gfg aa aaaaaaaadfg da aa gffaaaaaaaaaaadfg gag dag gfdaaaaaaaaaaafgg gfdag ad gad gfdaaaaaaaaaadfg gfaaaaaaaaaf aa aa gfdaaaaaaaaaadffdaaaaaaaaaadfg fa aa gfdaaaaaaaadfg af faf aa aa aa aa fa dag af gad aa aa da aa gagfaf adaa aaa fag g ``` <!-- 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,#a07962ff b,#49c74eff c,#c1a697ff d,#814b2cff e,#dcdcceff f,#77d37aff g,#afd7b0ff ``` ```image ebf gb b bb b bg b gb b bb b bf b geeeeee gbe fe bffffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffffffffffb gg eb eeeeeeegggg ef b b ff b b b be b eb b b b ff fe g fg gf ef b b ggggggggggbggggg ggggggggggbggggg ggggggggggbggggg eecad ggggggggggbggggg eccaddddddddaccde ggggggggggffgggg caadddddddaacee ae ggggggggggffgggg cce ae ggggggggggffgggg ae gggggggggggbgggg ae gggggggggggbgggg ae gggggggggggbgggg ae gggggggggggbgggg ae gggggggggggbgggg ae gggggggggggggggg ae gggggggggggggggg ac gggggggggggdgggg ac gggggggggggdgggg ac ggggggggggaagggg ac ggggggggggdggggg ac d ac ca cc de cc d cc ea cc de cc d cc ed cc de cc d cc ed cc de cc d ca ed ca ae ca d ca d ca ac ca d ea d ea ac ea d ea d ea ac ea d ea d ea cc ea d ea adc ed adc ed ada ed cda ed cda ed cda ed edd d edd d edd ddddddaaaccceee edde eeecccaaadddddddddde ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#9f765fff b,#49c74eff c,#c6aea0ff d,#7f4829ff e,#dbf1daff f,#80d884ff g,#afe6b2ff ``` ```image fbg fbg gbf gbf ebf ebb bb bb bbe fbe fbg gbg gbf gbf ebf ebb bb bbe fbe fbg fbg gbf gbf ebf e edc cda adc edd cda adc ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#9c7259ff b,#4bc84fff c,#cbbfaeff d,#804a2bff e,#dce5d4ff f,#80d883ff g,#b59684ff ``` ```image ebb fb b bb b bf b cbe b bb b bf b eeeeeeee ebe fe bfffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffffffffb ff eb eeeeeeeeccc ef b b ff b b b be b eb b b b ff be e fc cf ef b b b b b ecgad b ecgaddddddddagcde fe cgadddddddaggce ae ff gce ae ef ae eb ae b ac b ac b ac b ac ac ac d ac d gc ca gc d gc d gc ca gc de gc d gg ca gg de gg d gg ed gg de gg d gg ed cg ac cg d cg ed cg ac cg d cg ed ca ac ca d ca d ca ac ca d ca d ca gg ea d ea d ea gg ea d ea adc ea adg ea gdg ed gda ed gda ed cda ed cdd ed edd d edd dddddaaagggccee edde eeccgggaadddddddddde ``` <!-- 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,#4e8743ff b,#c0c031ff c,#b0d6b0ff d,#d3d476ff e,#236814ff f,#e4e9ccff g,#8ebc8aff ``` ```image dbbf dbbbbbbbbbbbbbbbbd fbbbbbbbb bbbbbbbbbbbbbbbbbd fdbbbbbbbbdfbbd dbd fdbbbbbbbbdf bb bb dbbbbbbbbbf dbb dbb fbbbbbbbdf bbd bb bbdf fbb fbb bbb bbf bbf fbb fbb bbf bbd bb bb bbd dbb bb bbd dbd bb bb dbb dbb bbf bb fbb fbb bbd bbf bb fbb dbb bbd bbd bb bb bbd dbb bb bbf dbb fbb bb bbd dbb bb bbf dbb fbb bbd bbf eec bb bb ceeea dbb bbd eegeee bbf bb ee eeef fbb bbd aea eeeg gccccccbbbccbbcc ee geea gcccccccbbcdbbcc fee feee gcccccccdbbbbccc eec eeef gccccccccbbbbccc ee aeeg gcccccccccbbcccc gea geea gcccccccccdbcccc ee feee gccccccccccccccc fee eeefgccccccccccccccc eeg aeeaccccccccccccccc ee geeecccccccccccccc gea feeeccccccccccccc ee geeegccccccccccc fee gcaeeacccccccccc eeg gccgeeeccccccccc ee gcccceeecccccccc gea gccccceeegcccccc eef gccccccaeeaccccc fee gcccccccgeeecccc eeg gccccccccceeeccc ee gcccccccccceeegc gee gcccccccccccaeea eef gccccccccccccgeee fee gcccccccccccccceeef aeg gccccccccccccccceeeg ee gccccccccccccccc geea gee gccccccccccccccc feee eef gccccccccccccccc eeef ee gccccccccccccccc aeeg aeg gccccccccccccccc geee ee gccccccccccccccc feee gee gccccccccccccccc eeec eef gccccccccccccccc aeea ee geee aeg feee ee eeec cee aeea eec ceee ee eeef aea eeec ee aeea cee ceee eec eeef ee eeeg aea geea ee fec cee gc ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#4c8440ff b,#c0c032ff c,#a9c4a3ff d,#d7d77cff e,#236814ff f,#e2e9d2ff g,#78a26fff ``` ```image fbbbbd bbbbd dbbbbf fbbbbf bbbbb dbbbd fbbbbd fbbbbf dbbbbf dbbbb fbbbbd bbbbd dbbbbbbbbb bbbbbbbbd fbbbbbbb dbbbbbd bbbbbf fbbbd dbd g eaf eeef eeeec eeeeeg geeeeeaf ceeeeeec feeeeeec faeeeeeg geeeeeaf ceeeeeec faeeeeeg faeeeeea geeeeeaf ceeeeeec faeeeeeg aeeeeeaf geeeeeaf ceeeeeec faeeeeeg geeeeeaf ceeeeeef ceeeeeec faeeeeeg geeeeea ceeeee feeee faee ge c ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#49823cff b,#c0c031ff c,#aac4a4ff d,#d6d67aff e,#236814ff f,#e3e9ceff g,#7ba572ff ``` ```image dbbf dbbbbbbbbbbbbbbbbd fbbbbbbbb bbbbbbbbbbbbbbbbbd fdbbbbbbbbdfbbd dbd fdbbbbbbbbdf bb bb dbbbbbbbbbd dbb dbb fbbbbbbbdf bbd bb bbdf fbb fbb bbb bbf bbf fbb fbb bbf bbd bb bb bbd dbb bb bbd dbd bb bb bbb dbb bbf bb fbb fbb bbd bbf bb fbb dbb bbd bbd bb bb bbd dbb bb bbf dbb fbb bb bbd dbb bb bbf dbb fbb bbd bbf eec bb bb feeea dbb bbd eegeee bbf bb ee eeef fbb bbd gea eeec bbb bb ee geea bbfdbb fee feee dbbbb eec eeef bbbb ee aeeg bbf gea geea dd ee feee fee eeef eec aeeg ee ceee gea feee ee eeec fee aeeg eec ceee ee feee gea eeec eef aeea fee ceee aeg eeef ee eeec gea geea eef feee fee eeef aeg aeeg ee geea cee feee eef eeef ee aeeg aeg geea ee feee cee eeef eef aeeg ee ceee aeg feee ee eeec cee aeea eef ceee ee eeef aeg eeec ee geea cee ceee eec eeef ee eeec aeg geea ee fec cee gc ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#c821f5ff b,#cadb6aff c,#d46cf0ff d,#e4ecb3ff e,#edb9fbff f,#96c995ff g,#b1d6b0ff ``` ```image ac aaa eaaae aaaaa caa aa aae aac aaa eaa eaa aa aac aac caa eaa aae aae aaa aaa eaa aa aac aae c caa caa caa aae aa aae aaa aac caa eaa eaa aae aaa aa caa caa aac aae aae eaa caa aaa aae aae aa caa caa aaa aa aae eaa aae caa aac caa aae aaa aa caa aae aac aae aaa eaa caa eaa aa aae aac aac caa caa eaa aae aae aae caa aaa caa aae eaa aa caa aac aae aae caa caa caa aae aa aae aaa aac caa eaa eaa aae aac aa aaa caa aaa aaae aae eaaaaae aaa aaaa eaa caa aac c caa aae aaa eaa aac caa aae aaa eaa fffffffffffffaaa ggggggggggggcaaf dbb ggggggggggggaacf dbb gggggggggggaaagf bbd gggggggggggaaggf bbd ggggggggggaaaggf bbd gggggggggcaagggf bb gggggggggaacgggf bb ggggggggaaaggggf bb ggggggggaaggbbgf bb gggggggaaagbbbbbbbbd bb ggggggcaagbbbbbbbbbbbbbbd dbb ggggggaacbbbgggf ddbbbbbbbbbbbd dbb gggggaaagbbbgggf dbbbbbbbbbbbd dbb gggggaagbbbggggf dbbbbbbbbbbbdd bbd ggggaaabbbgggggf ddbbbbbbbbbbbd bbd gggcaabbbggggggf dbbbbbbbbbbbd bb gggaabbbgggggggf ddbbbbbbbbbbbd bb ggaabbbggggggggf dbbbbbbbbbbbd bb ggacbbgggggggggf dbbbbbbbbbbbdd bb gacbbbgggggggggf ddbbbbbbbbbbbd bb cabbbggggggggggf dbbbbbbbbbbbb abbbgggggggggggf ddbbbbbb cbbbffffffffffffg d bbb b ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#c820f5ff b,#cada6aff c,#d048f1ff d,#e8eec0ff e,#f0c5fbff f,#c989a7ff g,#e084f9ff ``` ```image eaaaa aaaaa gaaaag eaaaaa caaaag eaaaac caaaae gaaaag eaaaaa caaaag eaaaac caaaae gaaaag eaaaaa caaaag eaaaac caaaae gaaaac aaaaae dbbddd gaaaag dbbbbbbb eaaaac dbbbbbbbb caaaae bbbbbbbbb gaaaac bbbbbbbbbb aaaaae bbbbbb dd gaaaag dbbbbbd eaaaac dbbbbbd caaaaedbbbbbd gaaaacdbbbbbd aaaaaebbbbbb gaaaagbbbbbb eaaaacbbbbbb caaaadbbbbbd gaaaafbbbbbd aaaacbbbbbd gaaacbbbbbb eaaaabbbbbb caaabbbbbb eaaafbbbbbd aaafbbbbbd gaafbbbbbd eaacbbbbbd cacbbbbbb eaabbbbbb aafbbbbb gafbbbbbd afbbbbbd ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#c820f5ff b,#cadb68ff c,#d763f5ff d,#dae698ff e,#f2cffcff f,#ecf2caff g,#e7a1faff ``` ```image ac aaa eaaag aaaaa caa aa aag aag aaa gaa eaa aa aac aac caa eaa aag aae aaa caa eaa eaa aac aag c caa caa caa aag aa aag aaa aac caa eaa gaa aag aac aa caa gaa aac aag aag eaa caa aaa aae aag eaae caa caa aaa aa aag gaa aag caa aag caa aag aaa aa caa aae aac aag aaa gaa caa gaa aa aae aac aac caa caa eaa aae aae aae caa aaa caa aae gaa aa caa aac aag aae caa gaa caa aae aa aae aaa aac caa gaa gaa aae aac aae aaa caa aaa aaae aae eaaaaae aaa aaaae eaa caa aac c caa aag aaa eaa aac caa aag aaa eaa aac caa fbb aag dbb aaa dbd eaa bbf aaa bbf gaa bb aag bb aaa bb eaae ddf bb aaa bbbbbbbdf bb gaa bbbbbbbbbbbbbbdf fbb aagdbbf fdbbbbbbbbbbdf dbb caafbbd fdbbbbbbbbbbbd dbd aaebbd fdbbbbbbbbbbdf bbd aaabbb fdbbbbbbbbbbdf bbf gaabbb fbbbbbbbbbbbdf bbf aabbb fdbbbbbbbbbbdf bb cabbb fdbbbbbbbbbbbd bb acbbf fdbbbbbbbbbbdf bb acbbd fdbbbbbbbbbbbf bb gabbb fbbbbbbbbbbbb abbb fdbbbbbb cbbb f bbb bf ``` <!-- end of image -->
[ "" ]
I have a feeling there might be some intersections in this image. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#d45e5eff b,#7e90bfff c,#ead4daff d,#d52931ff e,#b1d7b2ff f,#d6918bff g,#97c69aff ``` ```image e bb cb bb cb be cb be gggdgggbgggggggggggggggggggge eeedfeebbeeeeeeeeeeeeeeeeeeeg da eeedfeegbeeeeeeeeeeeeeeeeeeeg cdddda eeedfeeebgeeeeeeeeeeeeeeeeeeg adf cdda eeedfeeegbeeeeeeeeeeeeeeeeeeg cdd cdda eeedfeeeebgeeeeeeeeeeeeeeeeeg ada cdda eeedfeeeebbeeeeeeeeeeeeeeeeeg cddc cdda eeedfeeeeebgeeeeeeeeeeeeeeeeg ada cdda eeedfeeeeebbeeeeeeeeeeeeeeeeg ddc cdda eeedfeeeeeebgeeeeeeeeeeeeeeeg fda cdda eeedfeeeeeebbeeeeeeeeeeeeeeeg ddc cdda eeedfeeeeeeebeeeeeeeeeeeeeeeadd cdda eeedaeeeeeeebbeeeeeeeeeeeeeddc cdda eeedaeeeeeeeebeeeeeeeeeeefddg cdda eeedaeeeeeeeebbeeeeeeeeeddfeg cdda eeedaeeeeeeeeebeeeeeeefddeeeg cdda eeedaeeeeeeeeebbeeeeeddaeeeeg cdda eeedaeeeeeeeeeebeeefddeeeeeeg cdda f eeedaeeeeeeeeeebbeddaeeeeeeeg cddaddddc eeedaeeeeeeeeeeebddeeeeeeeeeg cdfc eeedaeeeeeeeeeeabbeeeeeeeeeeg eeedaeeeeeeeeeddgbeeeeeeeeeeg eeedaeeeeeeeegdeebbeeeeeeeeeg eeedaeeeeeeeeadeeebeeeeeeeeeg eeedaeeeeeeeedaeeebbeeeeeeeeg eeeadeeeeeeeedeeeeebeeeeeeeeg eeeadeeeeeeeedeeeeebbeeeeeeeg eeeadeeeeeeeadeeeeeebbeeeeeeg eeeadeeeeeeedaeeeeeeebbeeeeeg eeeadeeeeeeedeeeeeeeeebbbeeeg eeeadeeeeeeedeeeeeeeeeeebbeeg eeeadeeeeeeadeeeeeeeeeeeebbgg eeeadeeeeeedaeeeeeeeeeeeeegbb eeeadeeeeeedgeeeeeeeeeeeeeeebb fd cd bbb fd fd cbb fd da bbc fd dc cbb fd d bbc fd fd bbb fd da bb fd dc bbc fd d cbb fd fd bbc cd da ebb cd dc bb cd d bbe cd fd cbb cd da bbc cd dc ebb cd d bb cd fd bbe cd da cbb cd dc bbc d d ebb dfd bb dda bbe ddc cbb dd bbc dd cbb da bbc dc bbb d bb bbc cbb bbc ebb bb bbe cbb bbc ebc ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#da4c54ff b,#7d8ebfff c,#eeafb3ff d,#d62831ff e,#b7c0dbff f,#e5797eff g,#eee1e7ff ``` ```image cddg ebbe cddg bbb cddc ebbe cddc bbb cddc ebbe cddc bbb cddc ebbe cddc bbb cddc ebbe cddc bbb cddc ebbe cddc bbb cddc ebbe cddc bbb cddc ebbe cddc gbbb gddc ebbg gddc gbbb gddc ebbg gddc gbbb gddc ebbg gddc gbbb gddf ebbg gddf gbbb ga gddf ebbg cdd gddf gbbe gaddd gddf bbbg cddddc gddf gbbe gadddag gddf bbbg cddddc gddf gbbe gfdddag ddf bbbg cddddc ddf gbbe gfdddag ddf bbbg cadddf ddf gbbe fdddag ddf bbbg cadddf ddf ebbe fdddac ddf bbb gadddf ddf ebbefdddac ddf bbbdddfg ddf cbbadc ddf gadbbbg dda cdddabbe dda fdddagbbb ada addc ebbe ada gddf bbb ada cddc ebbe ada fddg bbb ada ada ebbe ada gddf bbb ada cddc ebbe ada fddg bbb ada ada ebbe ada gddf gbbb ada cddc ebbe ada fddg gbbbbg ada ada gbbbbe add gddf ebbbe add cddc ebbbbg fdd fddg gbbbbe fdd ada ebbbbg fdd gddf gbbbbe fdd cddc ebbbbg fdd fddg ebbbbe fdd ada gbbbbe fdd gddf ebbb fdd cddc gbb fdd fddg e ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#df585fff b,#7d8ebfff c,#f2bdc0ff d,#d62831ff e,#b1bbd9ff f,#e68388ff g,#ece1e7ff ``` ```image e be gb be gb be gb be dc eb dc be da dc eb cdddda dc be adf gdda dc eb gdd gdda dc be ada gdda dc eb gddg gdda dc bg ada gdda dc eb gddg gdda df bg fda gdda df eb ddc gdda df bg fdd cdda df eb ddc cdda df bg cdd cdda df bb ddc cdda df bg cdd cdda df bb ddf cdda df bg cdd cddf f da bb adf cddaddddg da bddg cdfg da abb da ddgb da gd bb aa fd b aa df bb aa dg b aa gd bb ad fd gbb ad df bb ad dg bbe ad gd gbb fd fd bbg fd df ebb fd dg bbg fd gd ebe fd fd gbb fd df bbe fd dg ebb fd gd bbg fd fd ebe fd df gbb cd dg bbe cd gd gbb cd fd bbg cd da ebb cd dg gbb cd d bbe cd fd gbb cd da bbg cd dg ebb gd d bb gd fd bbe gd da gbb gd dc bbg gd d ebb dfd bbg dda ebe ddc gbb dd bbe dd ebb da bbg dc ebe d gbb bbe ebb bbg ebb gbb bbe gbb bbg ebg ``` <!-- end of image -->
[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#3a1fa2ff b,#700320ff c,#a78fb0ff d,#6352b2ff e,#d2c4dcff f,#914557ff g,#afd6afff ``` ```image fbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbf bb bbc bb cbb ebb bbb cbf bbf fbc bbe bbe cbb bb bbb bb bbf bb ebbe bb fbb ebb bbb cbf bbc fbc ebb bbe fbb bb bbf bb bbc bb cbb bbb bbb fbb bbf fbb bbe cbbe cbb ebbc bbb bbf bbf bbb ebbe bbb fbb fbb bbb fbb bbc be ebb c fbb aad bbf aaac bbc aaaae cbb aadaa bbb aa aaa bbf aa aad bbe aa aac cbb aa eaae bbb eaa daa bbf ead aaa ebbe aac aad fbb aa aac bbb caa eaae bbc aae daa ebb aa aaa fbb dad aad bbf aa aac bbc caa eaae cbb aae daa ggbbbggggggggggggggggg aa aaa gggbbfgggggggggggggggg dad aad ggggbbcggggggggggggggg aa aac ggggfbbggggggggggggggg eaa eaae gggggbbbgggggggggggggg aac daa ggggggbbfggggggggggggg aa aaa gggggggbbggggggggggggg dad aad gggggggfbbgggggggggggg aa aac ggggggggbbbggggggggggg eaa eaae gggggggggbbfgggggggggg aac daae gggggggggcbbgggggggggg aa aaaaaadgggggggggfbbggggggggg caa daaaaaaaadcgggggbbbgggggggg aae edaaaaaaaadcgbbcggggggg eaa ggggdaaaaaaaaabggggggg aac ggggggggcdaaaaaaaadggg aa gggggggggggggcaaaadggg caa gggggggggggggggbbccggg aae gggggggggggggggfbbgggg aa ggggggggggggggggbbbggg dad gggggggggggggggggbgggg aa gggggggggggggggggggggg eaa gggggggggggggggggggggg aae gggggggggggggggggggggg aa gggggggggggggggggggggg edaaad gggggggggggggggggggggg edaaaaaaa gggggggggggggggggggggg caaaaaaaac gggggggggggggggggggggg caaaaaaaac gggggggggggggggggggggg caaaaaaaac gggggggggggggggggggggg eaaaade de ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#3a1fa1ff b,#700422ff c,#b7808eff d,#7865beff e,#e5dbe6ff f,#924058ff g,#c2accaff ``` ```image gbbbbf fbbbbc fbbbbg ebbbbbe cbbbbf fbbbbc ebbbbbg gbbbbbe cbbbbf fbbbbc ebbbbbe gbbbbb cbbbbf fbbbbc ebbbbbe gbbbbf fbbbbc fbbbbg ebbbbbe cbbbbf fbbbbc ebbbbbg gbbbbbe cbbbbf dge fbbbbc aaaadge ebbbbbe aaaaaaaaddge gbbbbb aaaaaaaaaaaaadgg cbbbbf daaaaaaaaaaaaaaaaadge fbbbbc egdaaaaaaaaaaaaaaaaaddbbbbbe egddaaaaaaaaaaaaaaaaaabfe egddaaaaaaaaaaaaaaaaadge egdaaaaaaaaaaaaaaaaade egddaaaaaaaaaaaaa egdaaaaaaaad fbbbaaaad ebbbbbgge gbbbbbe cbbbbf fbbbbc ebbbbbe gbbbbg cbfe g ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3a1fa2ff b,#700320ff c,#bb8895ff d,#6752b7ff e,#d7c9dcff f,#913c52ff g,#a194d1ff ``` ```image fbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbf bb bbc bb cbb ebb bbb cbf bbf fbc ebbe bbe cbb bb bbb bb bbc bb ebbe bb fbb ebb bbb cbf bbc fbc ebb bbe fbb bb bbf bb bbc bb cbb bbb fbb fbb bbf fbb bbe cbbe cbb ebbc bbb bbf bbf bbb ebbe bbb fbb fbb bbb cbb bbc be ebb g fbb aad bbf aaag bbc aaaae cbb aadaa fbb aa aaa bbf aa aad bbe aa aag cbb aa eaae bbb eaa daa bbf gad aaa ebbe aag aad fbb aa aag bbb gaa eaae bbc aae daa ebb eaa aaa fbb aad aad bbf aa aag bbc gaa eaae cbb aae daa fbb aa aaa bbf dad aad bbe aa aag cbb eaa eaae bbb aag daa bbf aa aaa ebbe dad aad fbb aa aag bbb eaa eaae bbc aag daae ebb aa aaaaaag fbb gaa daaaaaaaadg bbf aae gdaaaaaaaade bbc eaa gaaaaaaaaab aag edaaaaaaaad aa gaaaad gaa bbge aae cbb aa bbb dad b aa gaa aag aa edaaad edaaaaaaa gaaaaaaaag gaaaaaaaag gaaaaaaaag eaaaadg de ``` <!-- end of image -->
[ "" ]
I'm optimistic that I'll find some intersections in this image. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#1775c8ff b,#85342eff c,#67a5d7ff d,#9f726dff e,#b2d6b1ff f,#cedae8ff g,#96c798ff ``` ```image fc faaa aaaaa aaaaaac faaaaaaac aaaa aaaaf aaaaf faaaa faaaa caaaa aaaa caaaa aaaaf aaaac caaaa aaaaf aaaa aaaaf aaaaf faaaa caaac caaaa aaaa aaaaa aaaaf aaaac caaac aaaaf aaaa aaaa aaaaf faaaa caaac caaaa aaaa aaaaa aaaa aaaac caaac aaaaf aaaa faaaa aaaa faaaa egggggggggggggggggggaaaac bbe caaaa geeeeeeeeeeeeeeeeeeeaaaa dbbbbf aaaaaf geeeeeeeeeeeeeeeeeeaaaag fbbbbbbb aaaaaf geeeeeeeeeeeeeeeeeaaaacg bbbbbbbbbb caaaac geeeeeeeeeeeeeeeegaaaaeg dbbbbbbfdbbbb caaaac geeeeeeeeeeeeeeeeaaaaeeg fbbbbbbg bbbbb faaaaa geeeeeeeeeeeeeeeaaaaceeg bbbbbbd bbbbd faaaaa geeeeeeeeeeeeeegaaaaeeedbbbbbb bbbbe aaaaa geeeeeeeeeeeeeeaaaaeegbbbbbbe fbbbb aaaaa geeeeeeeeeeeeeaaaacebbbbbbd ebbbb aaaaa geeeeeeeeeeeegaaaabbbbbbb dbbbb aaaaa geeeeeeeeeeeeaaaabbbbbbd bbbbb aaaaa geeeeeeeeeeeaaabbbbbbdeg bbbbd caaaa geeeeeeeeeecabbbbbbbeeeg bbbbe aaaaa geeeeeeeeeedbbbbbbgeeeeg bbbbf aaaaa geeeeeeeegbbbbbbdeeeeeeg fbbbb aaaac geeeeeeebbbbbbbeeeeeeeeg dbbbb aaaac geeeeedbbbbbbgeeeeeeeeeg dbbbb aaaaf geeegbbbbbbdgeeeeeeeeeeg bbbbd faaaaf geebbbbbbbaaeeeeeeeeeeeg bbbbd faaaa gdbbbbbbaaaeeeeeeeeeeeeg bbbbf caaaa dbbbbbdaaageeeeeeeeeeeeg fbbbb caaaa gbbbbeaaaaeeeeeeeeeeeeeg ebbbb aaaaa gebeeeaaaceeeeeeeeeeeeeg dbbbb aaaaa geeeeeaaaeeeeeeeeeeeeeeg bbbbb aaaac geeeegaaaeeeeeeeeeeeeeeg bbbbd aaaf geeeecaaaeeeeeeeeeeeeeeg bbbbe af geeeeaaaaeeeeeeeeeeeeeeg bbbb geeeeaaaceeeeeeeeeeeeeeg ebbbb eggggaaaggggggggggggggge dbbbb faaa bbbbb caaa bbbbd aaaa bbbbe aaac bbbbf aaaf fbbbb faaa dbbbb caaa dbbbb aaaa bbbbd aaac bbbbd aaaf bbbbf faaa fbbbb caaa ebbbb aaaa dbbbb aaac bbbbb aaaf bbbbd faaa bbbbe caaa bbbbf aaaa ebbbb aaac dbbbb aaaf bbbbb caa bbbbd bbbbe bbbbf fbbbb dbbbb dbbbb bbb b ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1875c8ff b,#85342eff c,#73acdeff d,#a8706cff e,#c9a9a8ff f,#d5dde8ff g,#4e577fff ``` ```image faaaaa caaaaa caaaaaa faaaaaaa caaaaaaa caaaaaaaa faaaaaaaaf caaaaaaac caaaaaaaa faaaaaaaaf aaaaaaaac caaaaaaaa faaaaaaaaf aaaaaaaac caaaaaaac faaaaaaaaf f aaaaaaaac eb caaaaaaac ebbb faaaaaaaaf fdbbbb aaaaaaaac ebbbbbb caaaaaaac ebbbbbbbb faaaaaaaafdbbbbbbbbb aaaaaaaadbbbbbbbbbbb caaaaaagbbbbbbbbbbbbb faaaaaabbbbbbbbbbbbbe aaaaagbbbbbbbbbbbbdf caaagbbbbbbbbbbbbbe faagbbbbbbbbbbbbbe aagbbbbbbbbbbbbdf cgbbbbbbbbbbbbdf ebbbbbbbbbbbbbe fdbbbbbbbbbbbbd ebbbbbbbbbbbbdf ebbbbbbbbbbbbbe fdbbbbbbbbbbbbd dbbbbbbbbbbbbbf ebbbbbbbbbbbbbg fdbbbbbbbbbbbbgaf dbbbbbbbbbbbbgaac ebbbbbbbbbbbbbgaaa fdbbbbbbbbbbbbgaaaaf fdbbbbbbbbbbbbgaaaaac ebbbbbbbbbbbbbgaaaaaa ebbbbbbbbbbbgaaaaaaaf dbbbbbbbbdfaaaaaaac fbbbbbbdf faaaaaaa dbbbbe faaaaaac bbd caaaaaac ef caaaaaaf aaaaaaaf aaaaaaa faaaaaac caaaaaac caaaaaaf aaaaaaaf aaaaaaa faaaaaac caaaaaac caaaaaaf ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area A! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#1775c8ff b,#85342eff c,#83b5e1ff d,#9e6867ff e,#caa7a5ff f,#d4dce8ff g,#4d95d5ff ``` ```image fc faaa aaaaa aaaaaag faaaaaaac aaaa aaaaf aaaaf faaaa caaaa caaaa aaaa gaaaa aaaaf aaaag caaag aaaac aaaa aaaaf aaaaf faaaa caaag caaaa aaaa gaaaa aaaaf aaaag caaag aaaaf aaaa aaaa aaaaf faaaa caaag gaaaa aaaa aaaag aaaa aaaac gaaag aaaaf aaaa faaaa aaaa caaaa gaaac dbe gaaaa faaaa ebbbbf aaaaaf aaaa fbbbbbbb gaaaaf gaaac bbbbbbbbbb gaaaac faaaa dbbbbbbfdbbbb caaaag aaaa fbbbbbbe bbbbb faaaag gaaac bbbbbbd bbbbd faaaaa faaaa dbbbbbb bbbbe aaaaa aaaa ebbbbbbe fbbbbf aaaaa gaaac bbbbbbd ebbbb aaaaa faaaadbbbbbb dbbbb aaaaa aaaabbbbbbe bbbbb aaaaa aaabbbbbbd bbbbd gaaaa fabbbbbbb bbbbe aaaaa dbbbbbbf bbbbf aaaaa fbbbbbbd fbbbb aaaag bbbbbbb ebbbb aaaac ebbbbbbf dbbbb aaaac fbbbbbbdf bbbbd faaaaf bbbbbbbag bbbbe faaaa dbbbbbbaaa bbbbf caaaa ebbbbbdaaaf fbbbb gaaaa bbbd aaaa ebbbb gaaaa b aaac dbbbb aaaaa aaaf bbbbb aaaag faaa bbbbd aaaf gaaa bbbbe af aaaa fbbbbf aaac ebbbb aaaf dbbbb faaa bbbbb gaaa bbbbd aaaa bbbbe aaac bbbbf aaaf fbbbb faaa ebbbb gaaa dbbbb aaaa bbbbd aaac bbbbe aaaf bbbbf faaa fbbbb gaaa ebbbb aaaa dbbbb aaac bbbbb aaaf bbbbd faaa bbbbe caaa fbbbbf aaaa ebbbb aaac dbbbb aaaf dbbbb caa bbbbd bbbbe bbbbf fbbbb ebbbb dbbbb bbb b ``` <!-- end of image -->
[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#3eea4bff b,#d7fac8ff c,#69e471ff d,#eff7eeff e,#b2d8b2ff f,#93cf94ff g,#a6d3a6ff ``` ```image d bbb bbb dbbd bbb bbb bbb bbd bbb bbb dbb bbd bbb bbb dbb bbd bbb bbb dbb bbd bbb bbb dbb bbd bbb bbb dbb bbd bbb bbb dbb bbd bbb bbb dbb bbd ddddddddbbbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd dggggggggbbbggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf dgeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeefcgebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeecaaaacbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeaaaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgegaaaagcaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgcaaaaeeeebcaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef daaaaceeeeebbbgcaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaafeeeeeebbbeeegaaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gaaeeeeeeeebbbeeeeeefaaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dceeeeeeeeebbbeeeeeeeeefaaaaaaaageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbbeeeeeeeeeeeefaaaaaaacgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbbeeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeebbbbbbeeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeebbbbbbbbbeeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeeeeeeegcaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeeeeeeegaaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeeeeeeefaaaaaaaafeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeeeeeeefaaaaaaaageeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeefaaaaaaacgeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeecaaaaaaacgeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeeecaaaaaaaceeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeegcaaaaaaafeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeegaaaaaaaafeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeefaaaaaaaafeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeefaaaaaaeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeefaaaeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeegeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbbeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3eeb4bff b,#d7fbc9ff c,#80f189ff d,#f2fdf0ff e,#a9f5aeff f,#5ded68ff g,#e3fcdbff ``` ```image gbbb bbbg gbbg dbbbd bbbg bbbb bbbb gbbb gbbb gbbb gbbb dbbb dbbb dbbb dbbbd aaaaebbbd dcaaaaaaebd eaaaaaaaaaaaab caaaaaaaaaaaaaafg baaaaac efaaaaaaaaafg aaaaaa gefaaaaaaaaafd faaaaad gbbg efaaaaaaaaacd eaaaaae gbbg efaaaaaaaaacd aaaac gbbb cfaaaaaaaaac eaae gbbb caaaaaaaaafc cg dbbb dcaaaaaaaaafe dbbb dcaaaaaaaaafe dbbb dfaaaaaaaaace dbbbg gfaaaaaaaaace bbbbbbgd gfaaaaaaaaacb bbbbbbbbgd baaaaaaaaaacb dbbbbbbbbbbgg baaaaaaaaaaeg dbbbbbbbbbbgg deaaaaaaaaaaeg dbbbbbbbbbbbg deaaaaaaaaaaed dbbbbbbbbbbbg geaaaaaaaaaaed dbbbbbbbbbbbg geaaaaaaaaaab dbbbbbbbbbbbg bcaaaaaaaaaab dbbbbbbbbbbbg bcaaaaaaaaafg dbbbbbbbbbbbg ecaaaaaaaaafg dgbbbbbbbbbbg efaaaaaaaaafd dgbbbbbbbbbbg efaaaaaaaaacd gbbbbbbbbbbg efaaaaaaaaac gbbbbbbbbbbg cfaaaaaaaaac gbbbbbbbbbbg caaaaaaaaafe gbbbbbbbbbbg dcaaaaaaaaafe gbbbbbbbbbbg dfaaaaaaaaafe gbbbbbbbbbbg dfaaaaaaaaace gbbbbbbbbbbg gfaaaaaaaaacb gbbbbbbbbbbg gfaaaaaaaaacb gbbbbbbbbbbg baaaaaaaa gbbbbbbbbbbg baaaaaa gbbbbbbbbbbg deac gbbbbbbbbbbg dg gbbbbbbbbbbgd gbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbgd gbbbbbbbbbbbbg dgbbbbbbbbbb dbbbbbb dgbbb ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3eeb4bff b,#d7fbc9ff c,#82f18bff d,#f3fdf0ff e,#a9f5aeff f,#5eed68ff g,#e8fce2ff ``` ```image g bbb gbb dbbd bbb bbb gbb dbbd bbb bbb gbb dbbg bbb bbb gbb dbbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb bbg bbb bbb gbb gbb gbb dbb dbb bcddbbd caaaafbd aaaaaaaaac gaaaagcaaaaaaae eaaaa bfaaaaaaae faaac bbggfaaaaaaae aaaab bbb gfaaaaaaab eaa bbb baaaaaaafb c bbb baaaaaaafg bbb eaaaaaaafd bbb eaaaaaaacd bbbbbb caaaaaaac dbbbbbbbbd caaaaaaac gbbbbbbbbd dcaaaaaaae gbbbbbbbbd dfaaaaaaae gbbbbbbbbd gfaaaaaaab gbbbbbbbbd bfaaaaaaab gbbbbbbbbd baaaaaaafg gbbbbbbbbd eaaaaaaafg gbbbbbbbbd eaaaaaaacd gbbbbbbbbd eaaaaaaac gbbbbbbbbd caaaaaaac gbbbbbbbbd dcaaaaaaae dbbbbbbbbd dfaaaaaaae dbbbbbbbbd gfaaaaaaae dbbbbbbbbd bfaaaaaaab dbbbbbbbbd baaaaaa dbbbbbbbbg eaaa dbbbbbbbbg g dbbbbbbbbg dbbbbbbbbg dbbbbbbbbbg dbbbbbbbbbb gbbbbbb dgbb ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#eabaa0ff b,#8ebee4ff c,#f3d7c8ff d,#c2dcf1ff e,#b1d7b1ff f,#95c996ff g,#f1f4f0ff ``` ```image cg aaaaaac ac gcaaaaacg ga caaaaaac aa gaaaaaacg ggggggggggggggggacgggggg gcaaaaacg feeeeeeeeeeeeeeeaeeeeeef caaaaaac feeeeeeeeeeeeeeaaeeeeeef gcaaaaacg feeeeeeeeeeeeeeaaeeeeeef caaaaaac bbb feeeeeeeeeeeeeeaeeeeeeef gcaaaaacg gbbdbbg feeeeeeeeeeeeeaaeeeeeeef caaag dbb bbdfeeeeeeeeeeeeeaaeeeeeeef bbd dbbeeeeeeeeeeeeeaeeeeeeeef gbb gbbeeeeeeeeeeeeaeeeeeeeef bbb fbbbeeeeeeeeeaaeeeeeeeef bbd feebbeeeeeeeeaeeeeeeeeef dbb feeebbbeeeeeeaeeeeeeeeef bbb feeeebbbeeeeaaeeeeeeeeef bbd feeeeeebbeeeaeeeeeeeeeef dbb feeeeeeebbbeaeeeeeeeeeef bb feeeeeeeeebbaeeeeeeeeeef feeeeeeeeeebbeeeeeeeeeef feeeeeeeeeeabbbeeeeeeeef feeeeeeeeeaaeebbeeeeeeef feeeeeeeeeaaeeebbbeeeeef feeeeeeeeeaeeeeebbbeeeef feeeeeeeeaaeeeeeeebbeeef feeeeeeeeaaeeeeeeeebbbef feeeeeeeeaeeeeeeeeeeebbf feeeeeeeaaeeeeeeeeeeeebbd feeeeeeeaaeeeeeeeeeeeeebbb feeeeeeeaeeeeeeeeeeeeeefgbbg feeeeeeaaeeeeeeeeeeeeeef bbb feeeeeeaaeeeeeeeeeeeeeef dbb feeeeeeaeeeeeeeeeeeeeeef bbd feeeeeeaeeeeeeeeeeeeeeef dbb feeeeeaaeeeeeeeeeeeeeeef gbbg ggggggacgggggggggggggggg bbb ga dbb aa bbd ac bbb ga gbbg aa bbd ac dbb ga bbd aa bbb aac gbbg aaag bbd caac dbb caac gbbg gaaa bbb aaa dbbg aaag bbd caac dbb caac gbbg gaaa bbd aaa d aag ca ca aa aa ac ac ag ga ca ca aa aa ac ac ag ga ca ca aa aa ac ac ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#eab99fff b,#8cbde5ff c,#f6e2d7ff d,#c8dff2ff e,#efccb9ff f,#a6cbe8ff g,#eff2f5ff ``` ```image caae eaac aaa caae eaac aaag caae eaac aaag caaa eaac aaag gaaa fg caae bbd aaac bbbfg gaaa fbbbbg caae dbbbbd eaac gbbbbfg gaaa fbbbbd caae dbbbbf eaac gfbbbbg aaa dbbbbd caae gbbbbfg eaac gfbbbbd aaag dbbbbf caae gfbbbfg eaac dbbbbd aaag dbbbbfgcaae gfbbbbeaac dbbbbfag gfbbbbg fbbbbd aabbbbfg gaaafbbbbg caae dbbbbd eaac gbbbbfg gaaa fbbbbd caae dbbbbf eaac gfbbbbg aaa dbbbbd caae gbbbbfg eaac gfbbbbd aaa dbbbbf caae gfbbbfg eaac dbbbbd aaag gbbbbf caae gfbbb eaac dbb aaag gf caaa eaac aaag gaaa caae eaac gaaa caae eaac gaaa caae eaac aaa ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ebba9fff b,#8cbde5ff c,#f6e2d7ff d,#cee3f3ff e,#f0cebcff f,#a9cdebff g,#f5f3f4ff ``` ```image eg aaaaaac ae ceaaaaaeg ga gcaaaaaec ea ceaaaaaeg ae geaaaaaec ag caaaaaac ea geaaaaaeg ae caaaaaac bbb ag ceaaaaaeg gbbdbbg ea gcaaag fbb bbf aa bbd fbb ac dbbg gbbd ca fbb bbf aa bbd dbb ac dbb bbd ca fbf fbb aa bbd gbbg ac dbb bbfca bf dbba bbd gafbb ea gbbg ae bbf ga dbb ea gbbd ae fbb ag dbbg ea bbf aa fbb ag gbbd ca bbf aa dbbg ac bbd ca fbb aa gbbg ac bbf ca dbb aa bbd ac fbb ga gbbg aa bbf ae dbb ga gbbd ea fbb aae dbbg aaag bbf eaac fbb caae gbbd gaaa bbf aaag dbbg eaag bbd eaac fbb caae gbbg gaaa bbd aaag d gaac ca ea aa aa ae ac ag ga ca ea aa aa ae ac ag ga ca ea aa aa ae ac ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#e2a576ff b,#9f66ceff c,#eecbb0ff d,#d6bee9ff e,#b38fd3ff f,#afd5afff g,#f3edeaff ``` ```image dbd ebbb bbbe bbbd gbbbg dbbb ebbe bbbd gbbbg dbbb ebbb bbbe bbbd gbbbg g dbbb caa ebbe cac bbbd aac gbbbg aag dbbb aa ebbb aa bb bbbe aa bb bbbd gaa g dbb gbbb caa gaa ebbg dbbb aac gaa bbbd ebbe aac gaa bbbd bbbd aag gaa bbbe gbbbg aa aa bbbb dbbb aa aa dbbbb ebbb gaa aa ebbbb bbbe caa aa bbdbb bbbd caa aa bb bb gbbb aac aa bb bb ebbb aag aa bb bb bbbe aa aa dbb bbg bbbd aa aa ebe bbd gbbbg aa aa bbd bbd dbbb gaa aa bb ebe ebbb caa aag bb dbe bbbe cac aag gbb dbb bbbg aac aag dbb gbb dbbb aag aag ebe bb ebbb aa aac bbd bb bbbe aa aac bb bb bbbd aa aac bb bb gbbbg gaa aac gbb bb dbbb caa gggcacggggggdbbgg bbg ebbb aac fffaaaffffffbbeffg bbd bbbd aag fffaaaffffffbbfffg ebd bbbg aa fffaaaffffffbbfffg ebbbbb aa ffffaaffffffbbfffg dbbbb aa ffffaaffffffbbfffg dbbe gaa ffffaafffffebbfffg bd caa ffffaafffffbbefffg cac ffffaafffffbbffffg aac fffbaafffffbbffffg aag ffebaafffffbbffffg aa fffbaafffffbbffffg aa fffeaaffffebbffffg aa ffffaaffffbbeffffg gaa ffffaaefffbbfffffg caa ffffaabfffbbfffffg aac ffffaabfffbbfffffg aac ffffaabbffbbfffffg aag ffffaabbfebbfffffg aa ffffaabbebbefffffg aa ffffaafbbbbffffffg gaa ffffaafbbbbffffffg gcaaac caa ffffaafebbbffffffg gcaaaaaaaaaa caa ffffaaffbbbffffffg caaaaaaaaaac caaag aac ffffaaffbbeffffffg gaaaaaaaaaac aaac aag ffffaafffefffffffg gcaaaaaaaaacg aaaa aa ffffaaaffffffffff gcaaaaaaaaacg gaaag aa aac caaaaaaaaaac aaaa aa cac gcaaaaaaaaacg caaa gaa cac gcaaaaaaaaacg gaaac caa caa caaaaaaaaacg aaaa cac caacaaaaaaaaaac caaaaac caaaaaaaacg aaaag gaaacg aaa gc ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#e1a375ff b,#9f66ceff c,#f3dac7ff d,#d8c1ebff e,#bd95ddff f,#eac0a1ff g,#f3e8edff ``` ```image faaaf dbbbb faaaf ebbbe faaaf bbbbe faaaf bbbbd faaaf gbbbbg faaaa dbbbb caaaa dbbbb caaaa ebbbe caaaa bbbbe caaaa bbbbd caaaa gbbbbg caaaa dbbbb caaaa ebbbb gaaaag ebbbe gaaaag bbbbe gaaaag bbbbd gaaaag gbbbbg gaaaag dbbbb gebaaaac ebbbb ebbaaaac ebbbe dbbaaaac bbbbd bbaaaac gbbbbd ebaaaac dbbbbg gbaaaac dbbbb eaaaac ebbbe daaaaf ebbbe aaaaa bbbbd aaaaag gbbbbd faaaae dbbbbg faaaab dbbbb faaaabd ebbbe faaaabb ebbbe faaaabbd bbbbd faaaabbe gbbbbd caaaabbbg dbbbbg caaaabbbd dbbbb caaaabbbb ebbbe caaaabbbbd bbbbe caaaabbbbe bbbbd caaaaebbbbdbbbbg caaaagbbbbbbbbbg caaaagebbbbbbbb gaaaagdbbbbbbbe gaaaag bbbbbbbe gaaaag dbbbbbbd gaaaag gbbbbbbg gaaaac ebbbbb aaaac dbbbbb aaaac bbbbe aaaac dbbbd aaaac ded aaaac ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e3a474ff b,#9f66ceff c,#f2d7c2ff d,#d8c0eaff e,#bb92dcff f,#eabd9bff g,#f4e9ebff ``` ```image dbd ebbb bbbe bbbd gbbbg dbbb ebbe bbbd gbbbg dbbb ebbb bbbe bbbd gbbb g dbbb caa bbbe faf bbbd aac gbbbg aag dbbb aa ebbb aa bb bbbe aa bb bbbd gaa g dbb gbbb caa caa ebbg ebbb faf gaa bbbd bbbe aac gaa bbbd bbbd aag gaa bbbe gbbbg aa aa bbbb dbbb aa aa dbbbb ebbb gaa aa ebbbb bbbe caa aa bbdbb bbbd faf aa bb bb gbbb aac aa bb bb ebbb aag aa bb bb bbbe aa aa dbb bbg bbbd aa aa ebe bbd gbbbg aa aa bbd bbd dbbb gaa aa bb ebe ebbb caa aag bb ebe bbbe faf aag gbb dbb bbbg aac aag dbb gbb dbbb aag aac ebe bb ebbb aa aac bbd bb bbbe aa aac bb bb bbbd aa aac bb bb gbbbg caa faf gbb bb dbbb faf faf dbb bbg ebbb faf faf bbe bbd bbbe aac faf bbg ebe bbbg aa caa bb ebbbbb aa caa bb dbbbb aa caa gbb dbbe gaa caa ebb bd caa gaa bbd faf gaa bbg aac gbaa bb aag dbaa bb aa baa dbb aa eaa ebe aa aa bbd gaa aae bbg caa aab bb faf aabd bb aac aabb dbb aag aabb ebe aa aabbebbd aa aagbbbbg gaa aagbbbb gfaaac caa aagdbbb gfaaaaaaaaaa faf aag bbb caaaaaaaaafc caaag aac aac bbe cfaaaaaaaaac aaaf aag aac e gfaaaaaaaaafg faaa aa aac gcaaaaaaaaafg caaag aa fac cfaaaaaaaafc aaaf aa faf cfaaaaaaaaacg faaa gaa faf gfaaaaaaaaafg gaaac caa faf caaaaaaaaafc aaaa faf cafcfaaaaaaaaac caaaaac caaaaaaaacg aaaag gaaafg aaa cc ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#328f57ff b,#b0d6b1ff c,#efccf5ff d,#59a476ff e,#cdded4ff f,#f0f3f1ff g,#90c499ff ``` ```image f aag aaaa aaaaa daaaaa gaaaaaa eaaaeaaa faaag aaa aaad aaa aaaa aaa aaaa aaa daaa aaa gaaaf daa eaaab daa faaag daaf aaad gaae aaaa gaae aaaa baab daaaf eaag baaae eaag eaaab faad faaad ffffffffffaadfffffffffffffff aaaa gbbbbbbbbbaaabbbbbbbbbbbbbbgf aaaa gbbbbbbbbbaaabbbbbbbbbbbbbbbf daaa gbbbbbbbbbaaabbbbbbbbbbbbbbbf gaaaf gbbbbbbbbbaaabbbbbbbbbbbbbbbf baaae gbbbbbbbbbaaabbbbbbbbbbbbbbbf faaag gbbbbbbbbbaaabbbbbbbbbbbbbbbf aaad gbbbbbbbbbaaabbbbbbbbbbbbbbbf aaaa gbbbbbbbbbaaabbbbbbbbbbbbbbbf aaaa gbbbbbbbbbaaabbbbbbbbbbbbbbbf daaa gbbbbbbbbbaaabbbbbbbbbbbbbbbf gaaaf cff gbbbbbbbbbaaabbbbbbbbbbbbbbbf eaaae cccccccccceebbbbdaabbbbbbbbbbbbbbbf fffccccccccccf faaag ccccccccccccccccccegbbbeeeecccccccccccccccccccccccccc aaad ccccfcccccccccccccccccccccccccccccccccccccccccccccccccf aaaa fccc gbbbeeccccccccccccccccccccccccccff ccc aaaa cccf gbbbbbbbbbgadbceeebbbbbbbbbbf cccf daaa cccc gbbbbbbbbbgaadbbbbbbbbbbbbbbf ccc gaaaf cccc gbbbbbbbbbgaadaadbbbbbbbbbbbf cccf eaaab cccc gbbbbbbbbbbaaaaaaaabbbbbbbbbf c faaag cccc gbbbbbbbbbbaaaaaaaaaagbbbbbbf aaad fccc gbbbbbbbbbbaaaaadaaaaaadbbbbf aaaa cccf gbbbbbbbbbbaaaaabbgaaaaaaagbf aaaa cccc gbbbbbbbbbbaaaaabbbbbaaaaaaag daaaf cccc gbbbbbbbbbbaaaaabbbbbbbdaaaaaad baaae cccc gbbbbbbbbbbaaaaabbbbbbbbbgaaaaaaae eaaab fccc gbbbbbbbbbbaaaaabbbbbbbbbbbgdaaaaaag faaad cccf gbbbbbbbbbbaaaaabbbbbbbbbbbbf gaaaaaadf aaaa cccc gbbbbbbbbbbaaaaabbbbbbbbbbbgf eaaaaaaab aaaa cccc fffffffffffaaaaaffffffffffff daaaaad daaa cccc aaaaa baaaa aaaf cccc aaaaa daae ae fccc daaaa faaa cccf daaaa aaa cccc gaaaa daae cccc gaaaa faaa cccc baaaa aaa fccc baaaa daae cccf eaaaa faaa cccc faaaa aaa cccc faaaa daae cccc aaaa eaaa cccc aaaa aaa fccc aaaa daae cccf aaaa eaaa cccc aaaa aaa cccc aaaa daae ccc aaaa eaaa c aaaa aaa aaaa daae aaaa ee aaaa daad daad gaaa gaaa gaaa baaa baaa eaad aa ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#328f57ff b,#a8cdb8ff c,#eecbf5ff d,#55a173ff e,#cee1d7ff f,#f4e9f8ff g,#81b998ff ``` ```image aaaaad daaaad daaaaa daaaaa daaaaa gaaaaaf gaaaaae gaaaaae gaaaaae baaaaae baaaaab baaaaab baaaaab eaaaaab eaaaaag eaaaaag eaaaaag faaaaag faaaaad aaaaad aaaaad daaaad fff daaaaa cccccccffff daaaaa cccccccccccccccffff daaaaa ffffffff ccccccccccccccccccccccebbgf ffffffffcccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccc ffffccccccccccccccccccccccccccccccccccccccccccccccccccc ffffccccccccccccccccccccccccccccccccccccccccccc ffffcccccccccccccccccccccccccffffffff baaddgefcffffffff baaaaab eaaaaab eaaaaagfbgb eaaaaagdaaaagf eaaaaaaaaaaaaage faaaaaaaaaaaaaaadbf faaaaaaaaaaaaaaaaaage aaaaaaaaaaaaaaaaaaaadb aaaaaaaaaaaaaaaaaaaaaadbf aaaaaaaaaaadaaaaaaaaaaaaage daaaaaaaaaafegaaaaaaaaaaaaadb daaaaaaaaaa fbdaaaaaaaaaaaaagf daaaaaaaaaa egaaaaaaaaaaaaage daaaaaaaaaa fgaaaaaaaaaaaaa gaaaaaaaaaa bdaaaaaaaaaa gaaaaaaaaaa egaaaaaaaa gaaaaaaaaaa fbdaaaaa gaaaaaaaaaa edaaa baaaaaaaaad ega baaaaaaaaad baaaaaaaaad baaaaaaaaad eaaaaaaaaad eaaaaaaaaad ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#328f57ff b,#9fc9b0ff c,#efcbf6ff d,#519f70ff e,#cce1d5ff f,#f3ebf6ff g,#77b48fff ``` ```image f aab aaaa aaaaa daaaaa gaaaaaa eaaaeaaa faaag aaa aaad aaa aaaa aaa aaaa aaa daaa aaa baaae daa eaaab daa faaag gaaf aaad gaae aaaa baae daaa baab gaaaf eaab baaae eaag eaaab faag faaag aad aaad aad aaaa aaa daaa aaa gaaaf aaa baaae aaa eaaab aaa aaad aaa aaaa aaa aaaa aaa daaa aaa gaaaf fff daa eaaae ccccccccccff daa fffccccccccccf faaag ccccccccccccccccccebf ffffcccccccccccccccccccccccccc aaad ccccffccccccccccccccccccccccccccccccccccccccccccccccccf aaaa fccc ffcccccccccccccccccccccccccffff ccc aaaa cccf badecffff cccf daaa cccc eaab ccc baaaf cccc eaagaab cccf eaaab cccc faaaaaaadf c faaag fccc aaaaaaaaaae aaad fccc aaaaadaaaaaag aaaa cccf aaaaa baaaaaaaf aaaa cccc aaaaa faaaaaaab gaaa cccc aaaaa gaaaaaad baaae cccc aaaaa eaaaaaaae eaaab fccc aaaaa fdaaaaaab faaag cccf aaaaa baaaaaadf aaad cccc aaaaa eaaaaaaae aaaa cccc aaaaa gaaaaad daaa cccc aaaaa baaaa aaaf fccc aaaaa daae ae fcccf daaaa faaa cccf gaaaa aaa cccc gaaaa daae cccc baaaa faaa cccc baaaa aaa fccc eaaaa daae cccf eaaaa eaaa cccc faaaa aaa cccc faaaa daae cccc aaaa eaad fccc aaaa aaa fcccf aaaa daae cccf aaaa eaad cccc aaaa aaa cccc aaaa daae ccc aaaa eaad c aaaa aaa aaaa daae aaaa ee aaaa daad daad gaaa gaaa baaa baaa baaa eaad aa ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#71747dff b,#77e9c2ff c,#c2c3c7ff d,#99eed1ff e,#afd6b0ff f,#939e9cff g,#e8f4eeff ``` ```image gdbbg gdbbbbbb gdbbbbbbdbbb gdbbbbbbdg gbbb gdbbbbbbdg dbbd dbbbbbbdg bbbd dbbbbbbdg bbbg dbbbbbbdg bbbg dbbbbbbbg bbb dbbbbbbbg gbbb dbbbbbbbg gbbb dbbbbbbbg dbbd dbbbbbbbg bbbd dbbbbbbbg bbbg dbbbbg bbbg bg bbb gbbb gbbb ccc dbbd faa bbbd aaa bbbg aaa bbbg aaf bbb aac gbbb aac gbbb aag dbbd aa bbbd gaa bbbg caa bbbg faa bbbgggggggggggfaagggg gbbbeeeeeeeeeeaaaeeee gbbbeeeeeeeeeaaaeeee dbbbeeeeeeeeaafeeee gbbbbeeeeeeeaafeeee gebbbeeeeeeeaafeeee geebbbeeeeeeaaeeeee geeebbbeeeeeaaeeeee geeeebbbeeeeaaeeeee geeeeebbbeefaaeeeee geeeeebbbbefaaeeeee geeeeeebbbbaaaeeeee geeeeeeebbbfaaeeeee geeeeeeeebbbaaeeeee geeeeeeeeebbbfeeeee geeeeeeeeeebbbeeeee geeeeeeeeeefbbbeeee geeeeeeeeeeabbbbeee geeeeeeeeeeaabbbeee geeeeeeeeeeaaebeeee geeeeeeeeefaaeeeeee gg geeeeeeeeefaaeeeeee aaa geeeeeeeeeaaaeeeeee caag geeeeeeeeeaaaeeeeee aaa geeeeeeeeeaaaeeeeee caac geeeeeeeeeaafeeeeee aaa geeeeeeeeeaafeeeeee gaac geeeeeeefaaafeeeeee aaa geeeeeaaaaaaeeeeeee gaaf geefaaaaaafeeeeeeee aaa caaaaaaafeeeeeeeeee aaf gfaaaaaac faa faaaaaac aaa caaaaaaf faa gaaaaaaag aaa faaaaaac caag caaaaaaf aaa gaaaaaaag caag faaaaaac aaa caaaaaaf caac caaaaaafg aaa gfaaaaaac gaac faaaaaac aaa caaaaaafg gaaf gaaaaaaag aaa faaaaaac aaf caaaaaaf faa gaaaaaaag aaa faaaaaac faaaaaaaf aaaaag gac ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#70737dff b,#76e9c1ff c,#a4a7adff d,#9eefd3ff e,#c6c7cbff f,#848d93ff g,#daeee8ff ``` ```image bd faaaag bbd faaaag bbbg aaaaa bbbbg aaaaa bbbbbg gaaaaf bbbbbb gaaaaf dbbbbbd eaaaac dbbbbbd eaaaac bbbbbbd eaaaac gbbbbbbg caaaae gbbbbbbg caaaae gbbbbbbg faaaag dbbbbbb faaaag dbbbbbd aaaaa dbbbbbd aaaaa bbbbbbd gaaaaf gbbbbbbg gaaaaf gbbbbbbg eaaaac gbbbbbbg eaaaac dbbbbbb eaaaac dbbbbbd caaaae dbbbbbd caaaae bbbbbbd faaaag gbbbbbbgfaaaag gbbbbbbfaaaa gbbbbbbfaaa dbbbbbbaaf dbbbbbbaf dbbbbbbc bbbbbbb gbbbbbbg cbbbbbbg cfbbbbbbg fafbbbbbb faabbbbbbd aaaabbbbbbd aaaaabbbbbd gaaaafgbbbd gaaaaf gbg eaaaac eaaaac eaaaac caaaae caaaae faaaag faaaag aaaaa aaaaa gaaaaf gaaaaf eaaaac eaaaac eaaaac caaaae ecaaaaaae gcfaaaaaaaag efaaaaaaaaaaf ecaaaaaaaaaaaafg gcaaaaaaaaaaaaacg ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#70737dff b,#77e9c2ff c,#aeb0b5ff d,#99efd1ff e,#cccdd0ff f,#8e939aff g,#e1f2edff ``` ```image gdbbg gdbbbbbb gdbbbbbbdbbb dbbbbbbdg gbbb dbbbbbbdg dbbd dbbbbbbdg bbbd dbbbbbbdg bbbg dbbbbbbdg bbbg dbbbbbbbg bbb dbbbbbbbg gbbb dbbbbbbbg gbbb dbbbbbbbg dbbd dbbbbbbbg bbbd dbbbbbbbg bbbg dbbbbg bbbg bg bbb gbbb gbbb ece dbbd faa bbbd aaa bbbg aaa bbbg aaf bbb aac gbbb aae gbbb aag dbbd aa bbbd gaa bbbg eaa bbbg caa bbb faa gbbb aaa gbbb aaa dbbd aaf bbbd aac bbbg aae bbb aag bbb aa gbbb gaa gbbb eaa dbbd caa bbbdfaa bbbfaa bbbaa bbbf gbbb fbbb abbbd aabbb gaa b eaa g caa aaa faa caag aaa aaa aaa eaae aaf aaa aac gaac eaaae aaa gfaaaaa gaac caaaaaac aaa eaaaaaafg aaf gfaaaaaae faa caaaaaac aaf eaaaaaaf faa gaaaaaaag aaa faaaaaae caag caaaaaaf aaa eaaaaaaag eaae faaaaaae aaa caaaaaac eaae eaaaaaafg aaa gfaaaaaae gaac caaaaaac aaa eaaaaaaf aaf gfaaaaaae aaa caaaaaac aaf eaaaaaaf faa gaaaaaaag aaa faaaaaae caaaaaaac aaaafg gae ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5a25cff b,#76965bff c,#deddc7ff d,#97c593ff e,#c9b982ff f,#f0f5eeff g,#b1d7b1ff ``` ```image f fae aae eaa faaf aae aaa caa aac aaa caa aac aaa eaa faaf aae eaa faaf aae aaa caa aac cbb aaa gbd caa bbg aac bbf aaa bb eaa bb faaf fbb aae gbb eaa bbg faaf bbc aae bb aaa bb bf caa fbb eaabdddddddddddddddddddddddddddddddddddddddddddddddddddddeaaf gbb faaabdgggggggggggggggggggggggggggggggggggggggggggggggggggeaef dbd caabbbggggggggggggggggggggggggggggggggggggggggggggggggggeaef bbc feaabbbdggggggggggggggggggggggggggggggggggggggggggggggggaaef bb fgaaabbbbgggggggggggggggggggggggggggggggggggggggggggggggaaef bb fggaaadbbbdgggggggggggggggggggggggggggggggggggggggggggggaaef fbb fgggaaegbbbbggggggggggggggggggggggggggggggggggggggggggggaadf cbb fgggeaaggdbbbdggggggggggggggggggggggggggggggggggggggggggaadf dbd fggggeaagggbbbbgggggggggggggggggggggggggggggggggggggggggaagf bbc fgggggaaagggdbbbdgggggggggggggggggggggggggggggggggggggggaagf bb fggggggaaaggggbbbbggggggggggggggggggggggggggggggggggggggaagf bb fgggggggaaeggggdbbbdggggggggggggggggggggggggggggggggggggaagf bb fgggggggeaaggggggbbbbgggggggggggggggggggggggggggggggggggaagf cbb fggggggggeaaggggggdbbbdgggggggggggggggggggggggggggggggggaagf dbd fgggggggggaaagggggggbbbbggggggggggggggggggggggggggggggggaagf bbg fggggggggggaaagggggggdbbbbggggggggggggggggggggggggggggggaagf bbf fgggggggggggaaeggggggggbbbbgggggggggggggggggggggggggggggaagf bb fgggggggggggeaaggggggggggbbbbgggggggggggggggggggggggggggaagf bb fggggggggggggeaaggggggggggbbbbdgggggggggggggggggggggggggaagf cbb fgggggggggggggaaagggggggggggbbbbggggggggggggggggggggggggaagf gbd fggggggggggggggaaagggggggggggbbbbdggggggggggggggggggggggaagf bbg fgggggggggggggggaaeggggggggggggbbbbgggggggggggggggggggggaagf bbf fggggggggggggggggaagggggggggggggdbbbdggggggggggggggggggeaagf bb fggggggggggggggggeaaggggggggggggggbbbbgggggggggggggggggeaagf bb fgggggggggggggggggaaaggggggggggggggdbbbdgggggggggggggggeaagf fbb fggggggggggggggggggaaagggggggggggggggbbbbggggggggggggggeaegf gbb fgggggggggggggggggggaaegggggggggggggggdbbbdggggggggggggeaegf bbg fggggggggggggggggggggaaeggggggggggggggggbbbbgggggggggggeaegf bbc fggggggggggggggggggggeaagggggggggggggggggdbbbdeeeeeeeeaaaegf bb fgggggggggggggggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaegf bb fggggggggggggggggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeeeggf fbb fgggggggggggggggggggggggegggggggggggggggggggggbbbbgggggggggf gbb fggggggggggggggggggggggggggggggggggggggggggggggdbbbbgggggggf dbd fggggggggggggggggggggggggggggggggggggggggggggggggbbbbggggggf bbc fggggggggggggggggggggggggggggggggggggggggggggggggggbbbbggggf bb fgggggggggggggggggggggggggggggggggggggggggggggggggggbbbbgggf bb fgggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbgf bb fggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbbc bb fggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbbb bb fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbbbc fbb fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfbbbb cbb fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf gbbbc gbd fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf bbbb dbd fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf gbbbg bbg fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf bbbbbbc cbbbb bbb cg ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5a25cff b,#75955aff c,#e6d6baff d,#92ab7bff e,#e1bd8bff f,#f0ece0ff g,#b6c6a6ff ``` ```image aaabdf eaaae aaaabbg eaaae aaaadbbdf eaaae aaaaabbbbg eaaae caaaaabbbbd eaaac caaaaabbbbg eaaac eaaaaabbbbdf eaaac aaaaaabbbbbg aaaac faaaaagbbbbbbc aaaac caaaaacbbbbbbgf aaaac eaaaa fdbbbbbbdf aaaaf aaaae gbbbbbbbc aaaaf faaaac fdbbbbbbdf aaaaf caaaaf gbbbbbbbg faaaaf caaaa fdbbbbbbdf faaaaf eaaae gbbbbbbbg faaaa aaaae fdbbbbbbdf faaaa aaaaac gbbbbbbbg faaaa caaaaaf fdbbbbbbdf caaaa caaaaa cbbbbbbb caaaa eaaaae fdbbbbbdf caaaa aaaaae cbbbbbbg caaaa faaaaac fgbbbbbdf caaae caaaaaf cbbbbbbg caaae caaaaaf bbbbbbbc eaaae eaaaae fdbbbbbbg eaaae eaaaae gbbbbbbbc eaaae faaaaac fdbbbbbbdf eaaae faaaaaf gbbbbbbbc eaaae caaaaaf fdbbbbbbdf eaaac eaaaae gbbbbbbbg eaaac faaaaac gbbbbbbbg aaaac faaaaaf fdbbbbbbdf aaaac caaaaaf gbbbbbbb aaaac eaaaae fdbbbbbdf aaaaf eaaaae cbbbbbbg aaaaf faaaaac fdbbbbbdf aaaaf faaaaaf cbbbbbbg faaaaf caaaaa fbbbbbbdf faaaaf eaaaa cbbbbbbbg faaaaf eaaae gbbbbbbdc faaaa faaaac cdbbbbbbg faaaa faaaaf gbbbbbbbc caaaa caaaaf fdbbbbbbdf caaaa eaaae gbbbbbbbc caaaa aaaae fdbbbbbbdf caaaa aaaaac gbbbbbbbc caaae faaaaaf fdbbbbbbdf caaae caaaaaf gbbbbbbb caaae eaaaae fdbbbbbdf eaaae eaaaae gbbbbbbg eaaae faaaaac fdbbbbbdf eaaae caaaaaf fbbbbbbdf eaaac eaaaae cbbbbbbbgccccccccceeeeeeeeeaaaac eaaaae ffffffcccccccceeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeeeeccccccf caaaaaaaaaaaaaaaaeeeeeeeeeccccccccffffff fgbbbbbbbc fcfffffff fdbbbbbbgf gbbbbbbbc fdbbbbbbdf gbbbbbbbc fdbbbbbbf gbbbbbbg fdbbbbbdf gbbbbbbg fdbbbbbdf bbbbbbbg fdbbbbbbdf cbbbbbbbg fdbbbbbb cbbbbb cbb g ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d6a25cff b,#75955aff c,#ddd8beff d,#93aa7aff e,#e2bf8eff f,#eee9dbff g,#b5c5a5ff ``` ```image fae aae eaa faa aae aaa caa aac aaa caa aaf aaa eaa faaf aae eaa faa aae aaa caa aac fbb aaa gbd caa bbg aaf bbf aaa bb eaa bb faaf fbb aae gbd eaa dbg faa bbf aae bb aaa bb bf faa fbb daad eae gbb aadbf eae dbg caabbd eae bbc eaabbbc eac bb aaabbbb aac bb aaagbbbc aaf bb aae bbbb aaf cbb caaf gbbbc aaf dbg eaa bbbb aa bbc aaa cbbbg aa bb aaa bbbb aa bb aae cbbbg aa bb faaf bbbb aa cbb eaa cbbbg aa gbd aaa dbbb aa bbc aaa fbbbd aa bb aae dbbbf aa bb faaf fbbbd aa bb eaa dbbbf aa fbb aaa fbbbd aa gbd aaa gbbbf faa bbg aae bbbd faa bbf faaf gbbbc faa bb eaa bbbb caa bb aaa gbbbc cae fbb aaa bbbb eae gbd aae gbbbg eae dbg faaf bbbb eae bbf eaa cbbbgfccceeeeeaac bb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac bb aaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeccf fbb ffff dbbb gbb fbbbd dbg dbbbf bbc fbbbd bb dbbbf bb fbbbd bb dbbbf bb bbbd bb gbbbc fbb bbbb cbb gbbbc gbd bbbb dbg gbbbg bbc bbbbbbf cbbbb bbb cg ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b46a6ff b,#69a053ff c,#b1d7b1ff d,#bfb0d8ff e,#eaefebff f,#96c694ff g,#8e77b8ff ``` ```image ga aa aae aad aag eaaa daaa daaa gaaa aaaa aagad aadag aaeaa aa aa aa aa eaa aa dag aa dad gae gad dad aae dag aa aa aa aa aa aa aa aa aa aae da eaa gad eeeeeeeeeeeeeeeeeeeeeeeeeee eaaag dag dag ccccccccbfcccccccccccccccccf aagaaad dad eag cccccccbbbcccccccccccccccccf gaa gaaae gad ccccccbbbbfccccccccccccccccf eaa eaaaa aae cccccbbbcbbccccccccccccccccf aad daaagaa ccccfbbccbbfcccccccccccccccf aag eeedaaaaeeeeeee cccfbbccccbbcccccccccccccccf daa efccccaaacccccccf cccbbfccccbbfccccccccccccccf aae ecccccccccccccccf cccbfccccccbbccccccccccccccf aad ecccccccccccccccf cccccccccccbbfcccccccccccccf gaa ecccccccccccccccf cccaccccccccbbcccccccccccccf eaa ecccccccccccccccf ccfaaagcccccbbfccccccccccccf aad ecccccccccccccccf cccgaaaaafcccbbccccccccccccf aag ecccccccccccccccf ccccccgaaaaacbbfcccccccccccf daa ecccccccccccccccf ccccccccfaaaaaabcccccccccccf aae eccccccfbfccccccf cccccccccccgaaaaafcccccccccf aag eccccccbbbfcccccf ccccccccccccccaaaaagcccccccf gaa ecccccbbbbbbccccf cccccccccccccccbbaaaaagccccf eaa eccccbbbccbbbcccf cccccccccccccccfbbcgaaaaafcf aad ecccfbbccccbbbccf ccccccccccccccccbbfcccaaaaaa aag ecccbbfcccccbbbff ccccccccccccccccfbbcccccfaaaaad daa eccbbbcccccccbbbf cccccccccccccccccbbfcccccccgaaaaae aae ecfbbcccccccccfcf cccccccccccccccccfbbcccccccf egaaaag aag efbbccccccccccccf ccccccccccccccccccbbfccccccf daaaaad gaa ebbfccccccccccccf ccccccccccccccccccfbbccccccf gaaaaae eaa bbbcccccccccccccf cccccccccccccccccccbbfcccccf egaaaag aad cbbccccccccccccccf cccccccccccccccccccfbbcccccf daaaaaaa ebbfffffffffffffffc ccccccccccccccccccccbbfccccf gaaa bbf ccccccccccccccccccccfbbccccf e bbb cccccccccccccccccccccbbfcccf cbb cccccccccccccccccccccfbbcccf bbe ffffffffffffffffffffffbbfffc bbf ebb fbb bbe ebb ebb bbe bbe bbf ebb fbb bbe ebb ebb bbc bbe bbb cbb cbb bbe ebbe cbbc bbc bbbbe bbb ebbbbe cbb ebbbb bbe cbbbf bbf fbbbc fbb bbbbe ebb ebbbbe bbe ebbbb bbf cbbbf fbb fbbbbb bbbc ec ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b47a5ff b,#69a053ff c,#c7dcbfff d,#b9a8d5ff e,#e0e4e2ff f,#91b882ff g,#9378beff ``` ```image cffe cbbbb ebbbbbc ebbbbbbb bbbbbbbbc fbbbbbbbbb fbbbbfebbbbc fbbbbf fbbbb cbbbbf ebbbbc cbbbbbe fbbbb cbbbbbe ebbbbc ebbbbbe fbbbb ebbbbbc ebbbbc fbbbbc fbbbb fbbc ebbbbc ff fbbbb ebbbbc fbbbb dgd ebbbbc aaaage fbbbb eaaaaaaade ebbbbc daaaaaaaaagd fbbbb edaaaaaaaaaage ebbbbc egaaaaaaaaaade fbbbf dgaaaaaaaaagd ebbbbc edaaaaaaaaaagfbbbf egaaaaaaaaaaabbc dgaaaaaaaaaab edaaaaaaaaaage egaaaaaaaaaade dgaaaaaaaaagd faaaaaaaaaaage ebbbaaaaaaaaaaade fbbbfdgaaaaaaaaagd ebbbbc edaaaaaaaaaage fbbbf egaaaaaaaaaad ebbbbc dgaaaaaaaa fbbbf edaaaaaa ebbbbc egaaa fbbbf dg ebbbbc fbbbf ebbbbc fbbbf ebbbbc fbbbf ebbbbc fbbbf ebbbbc fbbbf ebbbbc fbbbf ebbbbe fbbbf ebbbbe fbbbf ebbbbe fbbbf ebbbbe fbbbf ``` <!-- end of image --> Success! This area contains 1 intersection point! Now, let's turn our attention to the next spot. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b47a7ff b,#69a053ff c,#cedec9ff d,#9d85c4ff e,#e7ede6ff f,#88b477ff g,#adcba1ff ``` ```image daaaaaaaad edaaaaaad edaaaad caaae e ec cbbfe ebbbbbc fbbbbbbg gbbbbbbbbf cbbbbbbbbbbfe ebbbbbecbbbbbbe fbbbbc efbbbbbc gbbbbg fbbbbbg ebbbbf gbbbbbf fbbbbe cbbbbbfe fbbbbc cbbbbbbc cbbbbg efbbbbbc ebbbbf fbbbf fbbbbe gbbe gbbbbc ce cbbbbg ebbbbf fbbbbe gbbbbg bbbbf bbbbe bbbc bbg ``` <!-- end of image --> This isn't an intersection in area B, but I'm not discouraged. Answer: A: 1; B: 0; 1 + 0 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#6a46a6ff b,#68a053ff c,#bfd6b5ff d,#b2a0d1ff e,#dcdfdfff f,#8db77cff g,#8b6fb9ff ``` ```image ga aa aae aad aag eaaa eaaa daaa gaaa aaaa aagae aadad aaeag aa aa aa aa eaa aa eag aa dad gae gae dad aae eag aa aa aa aa aa aa aa aa aa aae da aa gad aaag eag dag fe aagaaad dad eag bbb gaa gaaae gae fbbbc eaa aaaa aae fbbebb aae eaaagaa cbb bbc aag daaaa cbbe ebb daa gaa ebbc bbc aa bc ebb aad bbc gaa g ebb eaa eaaad bbc aae daaaaae ebb aag gaaaag bbc daa eaaaaaab aa ebe daaaaae aad bbbc gaaaag gaa bbbbbf bbaaaaad eaa fbb ebbb ebb daaaaae aae ebb bbb bbc gaaaag aag bbc bbbe ebb eaaaaad daa bbf fbf bbe daaaaae aae fbb c ebb gaaaag aad ebb bbe eaaaaad gaa bbc ebb daaaaae eaa bbb bbe egaaaag aad cbb ebb daaaaaag bbe bbe daaa bbc ebb fbb bbe cbb ebb bbe bbe bbf ebb fbb bbe ebb ebb bbe bbe bbf ebb fbb bbe ebb ebb bbc bbe bbb ebb cbb bbe bb cbbc bbc bbbbe bbb bbbb cbb ebbbf bbe cbbbf bbf fbbbc fbb bbbbe ebb bbbb bbe ebbbf bbf cbbbf fbb fbbbbb bbbc c ``` <!-- 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,#e2e7c5ff b,#57986dff c,#1b723aff d,#b1d7b1ff e,#d3d99cff f,#94c696ff g,#f1f6edff ``` ```image e a c e c e fb ga cad e c b ag ad c e b c e c c a b f e fg ad ga c b e c c ag ad c e b c e c f ga f ad e fg b gg c c e c c a dd c eg e b f gaae e ad e eg ga b ga aa e c e ge ag c ga eg e dffffffffcfffffffefffffd e a fddddddddbdddddddedddddf a e fddddddddffdddddeddddddf a e fdddddddddbdddddeddddddf e ga fdddddddddcddddedddddddf a e fdddddddddcddddedddddddf a ag fdddddddddcdddeddddddddf e e fdddddddddbdddeddddddddf a e fdddddddddffdedddddddddf a a fddddddddddbdedddddddddf e e fddddddddddceddddddddddf a ga fddddddddddceddddddddddf a e fddddddddddedddddddddddf e ag fddddddddddfdddddddddddf a e fdddddddddeffddddddddddf a e fdddddddddedbddddddddddf e ga fddddddddeddcddddddddddf a e efddddddddeddcddddddddddf a ag afdddddddedddcddddddddddf e e afdddddddedddbddddddddddf a a afddddddeddddffdddddddddf a e afddddddedddddbdddddddddf e e afdddddeddddddcdddddddddf a ga gfdddddeddddddcdddddddddf a e gfddddedddddddcdddddddddf e ag gdffffefffffffbfffffffffd a e a a gd a e a e b e a c a a c a e bg a e c a ga df a a b e e gc e e fg a ag c ea gd a e c ee b e e fd eg c a a ab e c a e c b gggggeaagggggggg c fg fddddeeddddddddfg dccf gd fdddddddddddddddg gbcba b fdddddddddddddddg fccd c fdddddddddddddddg dbcbg c fdddddddddddddddggbcba b fdddddddddddddbccf fg fdddddddddfccbfdg gf fddddddbccfdddddg b fddfccbdddddddddg c accbfddddddddddddg c fccdfdddddddddddddddg b dccf fdddddddddddddddg dg gbcba fdddddddddddddddg gf fccd fdddddddddddddddg cbg fdddddddddddddddg fddddddddddddddfg gggggggggggggggg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e7ecd3ff b,#3b8556ff c,#156d35ff d,#b2cfbcff e,#d6db9fff f,#8db79aff g,#639d76ff ``` ```image cf ae bg ea gb ae fc ea dca ae acd ea cf ae bg ea gb ae fc ea dca ae acd ea cf ae bg ea gb ae fc ea dca ae acd ea cf ae bg ea gb ae fc ea dcae acea ge ef aeg eec aedca eeacd aea cf ee bg aea gb ee fc a aea dca a ee acd e aea cf e ee bg e aea gb e ee fc e aea dca e ee acd e aea cf e ee bg e aea gb e ee fc e aea dca e ee acd e aea cf ea ee bg ea ea gb ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Alright, let's examine the next area. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#dadea5ff b,#41895bff c,#176f37ff d,#97bea5ff e,#c2d9caff f,#6aa27fff g,#eaf0e6ff ``` ```image aaaa gaag gaa g gdf gefbccb edbcccfdg gdfcccbde efbccbfe edbcccfdg gdfcccbde efbccbfeg dbcccfdg cbde g ``` <!-- end of image --> Area B doesn't meet the criteria for an intersection. Answer: A: 1; B: 0; 1 + 0 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e0e6c3ff b,#4b8f64ff c,#187038ff d,#aacab6ff e,#d6da9dff f,#7bad8dff g,#eff3e6ff ``` ```image e a c e c e df ga caa e c f ag ad c e b c e c c a f f e fg ad gg c f e c c ag ad c e b c e c f a f ad e f f gg c c e b c a ad b eg e b f ggae e ad e e ga f gg aa e c e ge ag c ga eg e b e e a f ga a e ad e a e f a e ga c e a e c a a ag b e e e f a a e gd e a a b a e e ce a gg ca a e e e a e a e egd a e a b e a e c a e e e c a gg a e b e e a e f a a a e gd a e a e b e e g a c a ga gg e c a e gg a b e ag gg e d a e g a gd a e a e b e a c a a c a e bg a e c a ga df a a b e e gc e e dg a ag c ea gd a e c ee b e e fd e c a a ab e c a e c b egg c dg ae dccf gd gbcba b fccd c dbcfg c gfcba b dccd dg abcfg gd gfcbd b dccf c abcbg c fccd b dccf dg gbcba gd fccd cfg ``` <!-- 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. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ce9e9aff b,#769a4bff c,#e3d3cdff d,#b1d6b0ff e,#9dc592ff f,#8dab6bff g,#f1f1ecff ``` ```image gg aaa aaa aaa gaac aaa aaa aaa gaac aaa c aaa ebb aaa bbbf gaac bbbe gggggggggggggaaagggggg bbbc geddddddddddddaaadddddd cbbbg gdddddddddddddaaadddddd dbbb gdddddddddddddaaddddddd fbbb gddddddddddddaaaddddddd bbbf gddddddddddddaaaddddddd bbbe gddddddddddddaaaddddddd bbbc gddddddddddddaadddddddd gbbbg gdddddddddddaaadddddddd dbbb gdddddddddddaaadddddddd fbbb gdddddddddddaaadddffddd bbbf gdddddddddddaaebbbbbddd bbbe gddddddddddfbbbbbbbbddd bbbc gddddddebbbbbbbbbfddddd gbbbg gdddfbbbbbbbbbedddddddd dbbb dbbbbbbbbbfaadddddddddd fbbb gebbbbbbbbbeddaaadddddddddd bbbf dbbbbbbbbbfddddddaaadddddddddd bbbe gfbbbbbbbbfcddddddddaaaadddddddddd bbbc dbbbbbbbbbd gdddddddaaaaddddddddddd gbbbg cfbbbbbbbbfc gddddddaaaadddddddddddd dbbb dbbbbbbbbbd gdddddaaaaddddddddddddd fbbb cfbbbbbbbbfg gddddaaaadddddddddddddd bbbf gebbbbbbbbbd gddaaaaaddddddddddddddd bbbe cfbbbbbbbbeg gdaaaaadddddddddddddddd bbbcgebbbbbbbbbd gaaaadddddddddddddddddd gbbbbbbbbbbeg aaaaeeeeeeeeeeeeeeeeeee dbbbbbfc aaaa dbe gaaaa caaaa aaaac aaaag aaaag aaaa gaaaa caaaa caaac caa aaaag aaag aaaag gaaa aaaa aaag gaaaa aaa caaaa aaac caaac aaa aaaac caac aaaag aaa aaaa caaa gaaaa aaa caaaa gaaa caaac aaag aaaac gaaa aaaag aaag aaaa aaa gaaaa aaac caaaa aaa caaac caac aaaac aaa aaaag caaa aaaa aaa gaaaa gaaa gaaaa aaag caaac gaaa caaac aaag caaag aaa caaag aaaccaaac aaaaaac caaaac aaac gac ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#cd9d99ff b,#769a4bff c,#dccdc3ff d,#b4c89dff e,#d7afacff f,#99ad75ff g,#ede5dfff ``` ```image aaaaac gaaaaag caaaaa eaaaae aaaaac gaaaaag caaaaa eaaaae aaaaac gaaaaag caaaaa eaaaae aaaaac gaaaaag caaaaa eaaaae aaaaac gaaaaag caaaaa eaaaae gdff aaaaac gcfbbbbb gaaaaacdfbbbbbbbbc caaffbbbbbbbbbbbbd cfbbbbbbbbbbbbbbbbb gdfbbbbbbbbbbbbbbbbbfdc cdbbbbbbbbbbbbbbbbbbfcg gdfbbbbbbbbbbbbbbbbbfdg cdbbbbbbbbbbbbbbbbbbfcg gdfbbbbbbbbbbbbbbbbbbfac fbbbbbbbbbbbbbbbbbbffaaaag bbbbbbbbbbbbbbbfdg caaaaa bbbbbbbbbbbbdc eaaaae bbbbbbbbfdg aaaaac bbbbfdc gaaaaag bfdg eaaaaa eaaaaae geaaaaaac gaaaaaaaa gaaaaaaae caaaaaaae eaaaaaaac eaaaaaaac geaaaaaaag gaaaaaaaag gaaaaaaae caaaaaaae caaaaaaac eaaaaaaac geaaaaaaag gaaaaaaaag ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ce9d99ff b,#769a4bff c,#e0d7cdff d,#b4c79dff e,#d8b3b0ff f,#95af73ff g,#f0e8e5ff ``` ```image gg eaa aaa aae gaag eaa aaa aae gaag eaa c aaa dbb aae bbbf gaag bbbd eaa bbbc aaa cbbb aae dbbb gaag fbbb eaa bbbf aaa bbbd aae bbbc gaag gbbbg eaa dbbb aaa fbbb aae df bbbf gaaefbbbb bbbd fbbbbbbbb bbbc cbbbbbbbbbfg gbbbg gdbbbbbbbbbc dbbb cbbbbbbbbbfaac fbbb gfbbbbbbbbbc eaa bbbb dbbbbbbbbbd aaa bbbd gfbbbbbbbbfc eaae bbbc dbbbbbbbbbd aaaag gbbbg cfbbbbbbbbfc aaaa dbbb dbbbbbbbbbd aaaa fbbb cfbbbbbbbbfg gaaaa bbbb dbbbbbbbbbd caaae bbbf cbbbbbbbbbfg eaaac bbbcgdbbbbbbbbbc aaaag gbbbbbbbbbbdg aaaa dbbbbbbc aaaa dbd gaaaa caaae eaaac aaaag aaaa aaaa gaaaa caaae eaaac caa aaaag aaa aaaa aaa aaaa aaag gaaaa aaa caaae eaac eaaae aaa aaaag caae aaaag aaa aaaa caae gaaaa aaa caaae gaaa eaaae aaa eaaac aaa aaaag aaag aaaa aaa gaaaa eaac gaaae aaa eaaae caae eaaac aaa aaaag caae aaaa aaa aaaa gaaa gaaaa aaa caaae aaa caaac aaag caaag aaa caaag eaacgaaag aaaaaac caaaac aaac gac ``` <!-- 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,#dc257cff b,#e26120ff c,#f2b6c0ff d,#d69461ff e,#d75f95ff f,#a6cba0ff g,#b2d7b1ff ``` ```image ae aae aa aae aa aae aa d fffffffffffffffffffffffffffffffffaaeffffff cbbbc fggggggggggggggggggggggggggggggggaaggggggg dbbbbd fgggggggggggggggggggggggggggggggaaeggggggg cbbbbb fgggggggggggggggggggggggggggggggaaggfbbggg dbbbbc fggggggggggggggggggggggggggggggaaeggdbdggg cbbbbb fggggggggggggggggggggggggggggggaagggdbdggg bbbbbc fgggggggggggggggggggggggggggggeaegggbbdggg dbbbbd fgggggggggggggggggggggggggggggaaggggbbfggg cbbbbbc fggggggggggggggggggggggggggggeaeggggbbgggg dbbbbd fggggggggggggggggggggggggggggaagggggbbgggg cbbbbb fgggggggggggggggggggggggggggeaagggggbbgggg bbbbbc fgggggggggggggggggggggggggggaaggggggbbgggg dbbbbd fggggggggggggggggggggggggggeaaggggggbbgggg cbbbbbc fggggggggggggggggggggggggggaaggggggfbbgggg dbbbbd fgggggggggggggggggggggggggeaaggggggfbbgggg cbbbbb fgggggggggggggggggggggggggaagggggggdbdgggg dbbbbc fggggggggggggggggggggggggeaagggggggdbdgggg cbbbbbfggggggggggggggggggggggggaaggggggggbbfgggg bbbbbdgggggggggggggggggggggeaaggggggggbbfgggg dbbbbdgggggggggggggggggggaagggggggggbbggggg ffbbbbbfgggggggggggggggeaagggggggggbbggggg fgggdbbbbdgggggggggggggaaggggggggggbbggggg fgggggdbbbbbfgggggggggeaaggggggggggbbggggg fgggggggfbbbbbdgggggggaagggggggggggbbggggg fgggeaafgggdbbbbbggggeaaggggggggggfbbggggg fggeaaaaafgggfbbbbbfgaagggggggggggdbbggggg fgeaafeaaaafggggdbbbaaagggggggggggdbdggggg feaafgggeaaaagggggdbaabbfgggggggggdbdggggg eaafggggggeaaaaggggeaabbbbdgggggggbbfggggg eaafgggggggggeaaaaggaafgdbbbbbgggggbbgggggg eaafggggggggggggeaaaaaaggggfbbbbbdggbbgggggg eaafgggggggggggggggeaaafgggggggdbbbbdbbgggggg caacfgggggggggggggggggeeggggggggggfbbbbbgggggg caac fggggggggggggggggggggggggggggggggdbbgggggg caac fggggggggggggggggggggggggggggggggggggggggg caac fggggggggggggggggggggggggggggggggggggggggg caac fggggggggggggggggggggggggggggggggggggggggg caac fggggggggggggggggggggggggggggggggggggggggg caac fggggggggggggggggggggggggggggggggggggggggg caac fggggggggggggggggggggggggggggggggggggggggg caac ffffffffffffffffffffffffffffffffffffffffff caae caae caae aae aae aae aae aae aae aae aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa eaa a ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#dd257cff b,#e3611fff c,#ef9ac2ff d,#ea8d5eff e,#e55d9eff f,#f2b89bff g,#f8d9dbff ``` ```image caaaag aaaae caaaag aaaae caaaag eaaae caaaag fgg eaaae gbbbb caaaag fbbbd eaaae fbbbd caaaag fbbbd eaaae dbbbf gaaaag dbbbf eaaae dbbbf gaaaag bbbbg eaaae bbbbg gaaaag bbbb eaaae gbbbb gaaaac gbbbb eaaae fbbbd gaaaac fbbbd eaaae fbbbd gaaaac dbbbf eaaae dbbbf gaaaac dbbbf eaaaa bbbbg gaaaac bbbbg eaaaa gbbbb gaaaac gbbbb eaaaa gbbbd gaaaac fbbbd eaaaa fbbbd gaaaac dbbbf eaaaa dbbbf gaaaac dbbbf eaaaa bbbbg bdg gaaaac bbbbg bbbdf eaaaa bbbbg bbbbbbfg gaaaac gbbbb bbbbbbbbdg eaaaa gbbbb fbbbbbbbbbbf gaaaac fbbbd gdbbbbbbbbbdg eaaaa fbbbd gfbbbbbbbbbdf gaaaac fbbbd fdbbbbbbbbbfg eaaaa dbbbf gdbbbbbbbbbdf gaaaac dbbbf fdbbbbbbbbbfg caaaa dbbbf gdbbbbbbbbbdg gaaaac bbbbg fbbbbbbbbbdf caaaa bbbbg eaeg fdbbbbbbbbbdg aaaac bbbb eaaaaeg gfbbbbbbbbbdf caaaa gbbbb eaaaaaaaeg fdbbbbbbbbbfg aaaac gbbbb eaaaaaaaaaaeg gdbbbbbbbbbdg caaaa fbbbd eaaaaaaaaaaaaaeg fbbbbbbbbbbfaaaac fbbbd eaaaaag caaaaaaaacg gdbbbbbbbaaaaag fbbbd eaaaaag caaaaaaaac gfbbbbbaaaaaf dbbbf eaaaaag caaaaaaaac fdbaaaaabbbfg dbbbf eaaaaag caaaaaaaac gaaaaabbbbbdf dbbbf eaaaaag caaaaaaaac caaaabbbbbbbbbfg bbbbg aaaaag caaaaaaaac aaaaegdbbbbbbbbbdg bbbbg aaaag geaaaaaaaac caaaag gfbbbbbbbbbdf gbbbb aaag geaaaaaaaec aaaae fdbbbbbbbbbdg gbbbb aag geaaaaaaaaaaaag gfbbbbbbbbbdf gbbbd ag geaaaaaaaaae fdbbbbbbbbbfg fbbbd g geaaaaaaag gdbbbbbbbbbddbbbd geaaaae fbbbbbbbbbbbbf geae gdbbbbbbbbbf gfbbbbbbbf fdbbbbg gfdg ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#dd257dff b,#e3601fff c,#ed8fbcff d,#ea8a5aff e,#e4599cff f,#f1b799ff g,#f8d7d8ff ``` ```image ae aac aa aae aa aae aa d aae gbbbg aa dbbbbd eae fbbbbbg aa gbb dbbbbf eae fbd fbbbbd aa dbf gbbbbbf eae dbf dbbbbd aa bbg gbbbbbg eae bb dbbbbf aa bb fbbbbbg eae bb bbbbbf aa bb fbbbbd eae bb gbbbbbg aa gbb dbbbbd eaa gbd fbbbbbg aa fbd dbbbbf eaa dbf fbbbbd aa dbg gbbbbbf eaa bb dbbbbd aa bb gbbbbbg caa bb dbbbbf aa bb fbbbbbg caa bb bbbbbf aa bb eaag fbbbbd caa gbb eaaaaag gbbbbbg aa fbd eaagcaaaa dbbbaaa fbd eaag caaaa fbaabbg dbf eaag caaaa caabbbbf bbg eaag caaaa aag fbbbbd bb caag eaaaaaa gbbbbbf bb caag eaaag dbbbbdbb caag ee gbbbbb caag dbb caag caac caac caac gaac gaac gaac gaac gaac gaae gaae gaae gaae aae aae aae aae aae aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa eaa a ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#726c6eff b,#d6d7d8ff c,#2f4d53ff d,#8e9691ff e,#b2d7b2ff f,#eff5f0ff g,#a8cca8ff ``` ```image b ca bccd dd cg cb cb ae c fcf faaa fc bcf ba dab dd gc ba faa cb dc ed dab c ac gd fad fc cc gd daf da ca dg bad cb cd de aaf c ce ab bad fc fcb ab a da bcf ab cb ec af c dc a fc ac a da cc a cb ca a c cd a fc cg a da fcb a cb fcf a c bc a fc gc a da dc fa cb ac ba c ca ba fc cd ed da cg gd cb cb fffffffffffffffffffddff c fcf fgggggggggggggggggggddggf c bcf fgeeeeeeeeeeeeeeeeeeadegf da gc fgeeeeeeeeeeeeeeeeeeadegf ce dc fgeeeeeeeeeeeeeeeeeeagegf d acfgeeeeeeeeeeeeeeeeeeagegf ccgeeeeeeeeeeeeeeeeeeaeegf caeeeeeeeeeeeeeeeeedaeegf fcaeeeeeeeeeeeeeeeeaeeegf fgcdeeeeeeeeeeeeeeadeeegf fggcgeeeeeeeeeeeegaeeeegf fgegcgeeeeeeeeeeeageeeegf fgeedceeeeeeeeeedaeeeeegf fgeeeaceeeeeeeeeaeeeeeegf fgeeeeaceeeeeeeadeeeeeegf fgeeeeecceeeeedaeeeeeeegf fgeeeeeecceeeeageeeeeeegf fgeeeeeeecaeeaaeeeeeeeegf fgeeeeeeeecdgaeeeeeeeeegf fgeeeeeeeegcadeeeeeeeeegf fgeeeeeeeeedcgeeeeeeeeegf fgeeeeeeeeeadceeeeeeeeegf fgeeeeeeeeaaedceeeeeeeegf fgeeeeeeegaeeeaceeeeeeegf fgeeeeeeeadeeeecceeeeeegf fgeeeeeedaeeeeeecceeeeegf fgeeeeeeageeeeeeecaeeeegf fgeeeeeaaeeeeeeeeecdeeegf fgeeeegaeeeeeeeeeeecdeegf fgeeeeadeeeeeeeeeeegcgegf fgeeedaeeeeeeeeeeeeegcggf fgeeeageeeeeeeeeeeeeedcgf fgeeaaeeeeeeeeeeeeeeeeacf fgegaeeeeeeeeeeeeeeeeeecc fgeadeeeeeeeeeeeeeeeeeegcc fgdaeeeeeeeeeeeeeeeeeeegfca gbf fgaeeeeeeeeeeeeeeeeeeeegf cd daaaaaadgb fadeeeeeeeeeeeeeeeeeeeegf ce bedaaaaaadgb baeeeeeeeeeeeeeeeeeeeeegf fcb bgdaaaaaadgb adggggggggggggggggggggggf bcf bgdaaaaaadgb gafffffffffffffffffffffff ec bgdaaaaaadeba dc bgdad ac cc ca cd cg fcf ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#76676aff b,#c2c2c3ff c,#2d4a51ff d,#868589ff e,#536b70ff f,#e4e4e5ff g,#a4a3a5ff ``` ```image gag gag gag dab dab dab dab aab aaf aaf aaf f faaf ef baa ce faab cce gad bccd baab gccg dag dccg baaf dccb faab eccb gad eccf baaf fecef dag fcce gaaf bcce faab bccd dad gccd baaf gccg dag dccb gaaf eccb faab eccf dad feccf baaf fccef aag fcce gaaf bccd faab bccd dad gccg baaf dccb aag dccbgaaf eccaab feccd bccef aacce gaabcce faab bccd dad gccg baaf dccg aag dccb gaa eccb faab eccf dad fecef baaf fcce aag bcce gaa bccd faab gccd dad gccg baaf dccb aag eccb gaa eccf faab feccf dad fccef baaf fcce faag bccd gaa bccd faab gccg dad dcc baaf dc faag e gaa f faab dad baaf faag gad faab dad baaf faag gad aab ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#76676aff b,#c6c6c7ff c,#2d4b52ff d,#8c8c8fff e,#586f75ff f,#e1e2e2ff g,#afaeb0ff ``` ```image b ce fccd dd cg cf cb ab c fcf faaa fc fc fa gab dd gc ba aa cf dc bd daf c ec gd fad fc ce gg daf de ce dg fad cf cd dg aa c cb db bag fc cf af a de fc af cf bc a c dc a fc ec a de ec a cb ce a c cd a c cg a de cf a cb fcf a c bc a c gc a de dc fa cb ec fa c ce ba c cd bd de cg gd cb cb gg c fcf dg c fc db ge gc db cb dc af d ec af ce a ce dd cd a cb ag cf ba fc af bc dd dc a ec ag ec ba ce af cd dd cg a cab gcf abc dd gc a dc ab ec ba ce a cd dd cg a cb ab fcf ba fc a gc dd dc fa ec ab ce ba ce gb a cd daaaaaadgf dd cb fbdaaaaaadgf fa cf fgdaaaaaadgf ab fc fgdaaaaaadgf ga bc fgdaaaaaadbfa dc fgdad ec ec ce cd cg cf ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#9ab96aff b,#d0e1d9ff c,#5c9ea0ff d,#79a137ff e,#b1d6b1ff f,#f0f6f0ff g,#94c59dff ``` ```image fadd bade a bddb ef fffffffffffffffff edab fe eeeeeeeeeeeeeeeegf edaf a eeeeeeeeeeeeeeeeef edaf d eeeeeeeeeeeeeeeeef eda d eeeeeeeeeeeeeeeeef bdaf a eeeeeeeeeeeeeeeeef bddb ef eeeeeeeeeeeeeeeeef fadb fe eeeeeeeeeeeeeeeeef fade a eeeeeeeeeeeeeeeeef ade d eeeeeeeeeeeeeeeeegdg d eeeceeeeeeeeeeadaf a eeeegeeeeeegddeeef ef eeeeceeegddgeeeeef fe eeeeggddgeeeeeeeef a eeeadceeeeeeeeeeef d eeeeeceeeeeeeeeeef d eeeeeeceeeeeeeeeef a eeeeeeceeeeeeeeeef ef eeeeeeegeeeeeeeeef fe eeeeeeeceeeeeeeeef a eeeeeeeggeeeeeeeef d eeeeeeeeceeeeeeeef d eeeeeeeegeeeeeeeef a eeeeeeeeeceeeeeeef ef eeeeeeeeeceeeeeeef fe eeeeeeeeeeceeeeeef a eeeeeeeeeeceeeeeef d eeeeeeeeeeggeeeegf d fffffffffffcfffff a ef ef c fe g a g d c d fe a c ef bf fe c a g d c d c a fe e c fe bb a c d ef d c a c e g fe c a fb d c d ef egggggggdgggggggf c geeeeeeeeaddaeeef g geeeeeeeeeeeegddab g geeeeeeeeeeeeeeeffaddef c geeeeeeeeeeeeeeef eddab fe geeeeeeeeeeeeeeef b c geeeeeeeeeeeeeeef bb geeeeeeeeeeeeeeef c geeeeeccceeeeeeef g geeecceeeceeeeeef c gecceeeeeeceeeeef c fcceeeeeeeeecgeeef e fcegeeeeeeeeeeegceef c fce geeeeeeeeeeeeecef bb bcb geeeeeeeeeeeeeecb c bcb geeeeeeeeeeeeeeege ef bcb geeeeeeeeeeeeeeefbc c ecb geeeeeeeeeeeeeeef c c ecf egggggggggggggggf cb g ecf eg c gcf fc fb gc cf c cc ce bc b ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#9dba6eff b,#deeae1ff c,#579a9eff d,#7ba33bff e,#afcfd1ff f,#c1d3a2ff g,#81b4b7ff ``` ```image bfd ge bfadda ec faddaf bce faddaf gc baddafb bcb badddfb gg bfdddfb ecbfdddab bfdddab addacb ff ce gc bce gg ecb cg ec ce gc bce gg bcb cg ecb ce ec bce gc bcb gg ecb cg ec ce gc ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Next up, a closer look at another region. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#9bb869ff b,#deeae4ff c,#589ba0ff d,#7aa238ff e,#b7d3d3ff f,#bbd09aff g,#82b4b8ff ``` ```image aa fddafb bfadddaffb bfaddddafb befadd b bge egcccg egcgb eccb eccgb bcce eccgb gce eccgb ecg eccgb bccb ccgb bgce gb gcg ecgb bccb gce ecg ec b ``` <!-- end of image --> This close-up reveals that there are no intersections in area B. Answer: A: 1; B: 0; 1 + 0 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9dba6cff b,#dfebe5ff c,#579a9eff d,#79a136ff e,#b0d0d2ff f,#c9d9aeff g,#80b3b6ff ``` ```image badd badf a fddf f fdab f fdab a fda d fda d fdab a bddb f badf f adf a adf d fda d g fda a be fda f c bddb f ebddb a adc d g d g a c f e f c a bb d c d e a c f g f g a c d be d c a eb f c f g a g d c d be a c f eb f c a g d g d c a e f c f bb a c d e d c a g f g f c a be d c d eb a c fddab g fadaf g baddf c fddab be b c eb c gcg g cg bc g cg c c cg ge e bce eg c bce c bb bce cb c bce ge e ecb bc c ecb c g ecb cb g ec eg c gc bc be gc cb c gg ge eg e ``` <!-- 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,#99896eff b,#a08ad7ff c,#b2d6b2ff d,#f0f4efff e,#735230ff f,#d7cfdbff g,#a5cca2ff ``` ```image cec eeef feeeed eeaeee dee eee eee eee eed deee aee feea eef ceea aee aeeg eec aeef gee eeed eea eeed fee eee eea eee dee deee dddddddddddddddeeeddddd deee dgggggggggggggggeeggggggd feea dgccccccccccccceeecccccgd geea f dgccccccccccccceegcccccgd aeec fbbbbf dgccccccccccccaeeccccccgd aeef fbbbbbbbbf dgcccccccccccceeaccccccgd eeed dfbbbbbbbbf dgcccccccccccaeecccccccgd eee dbbbbbbbbbf dgccccccccccceeacccccccgd eee dbbbbbbbbbccccccccccgeeccccccccgd eee dbbbbbbbbbcccccceeeccccccccgd deee fbbbbbbbbbcgeecccccccccgd feea dgcccbbbbbbeeecccccccccgd ceea dgcccccccbbeebbbbbcccccgd aeeg dgcccccccceeebbbbbbbbbcgd aeef dgcccccccceegcccbbbbbbbbbf eeed dgcccccccaeeccccccccbbbbbbbbbf eeed dgccccccceeacccccccccccgfbbbbbbbbf eee dgccccccaeeccccccccccccgd dfbbbbbbbbf eee dgcccccceeaccccccccccccgd dfbbbbbbbbf deee dgcccccgeecccccccccccccgd dbbbbbbbbbfdddddddfeeeddddd dgccccceeecccccccccccccgd dbbbbbbbbbggggggeeegggg dgccccgeeccccccccccccccgd dbbbbbbbbbccaeeaccg dgcccceeeccccccccccccccgd dgcbbbbbbbcaeeacg dgggggeeggggggggggggggggd dgcccccbbbcceeegg ddddaeedddddddddddddddd dgccccccbbbcceeeg eef dgcccccccbbbcceee aee dgccccccccbbccceee eeg dgccccccccbbbcccef gee dgcccccccccbbbccg eea dgccccccccccbbccg fee dgccccccccccbbbcg eea dgcccccccccccbbbg dee dgccccccccccccbbg eee dgccccccccccccbbb eed dgcccccccccccccbbb aee dgggggggggggggggbf eef aee eeg cee eea fee eea dee eee eed aee eef aee eeg cee eea fee eea dee eee f eed dea aee aeee eef ceee aee feeed eeg deeeaee eeeea eee gf ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#896d54ff b,#a088d8ff c,#c3b5a8ff d,#a08a7bff e,#725130ff f,#e4dde7ff g,#c3b5e6ff ``` ```image eeeea ceeeec aeeee ceeeed aeeeef feeeed deeeef feeeea deeeec feeeea deeeec eeeee ceeeec aeeee ceeeed f aeeeef bbbgf feeeed bbbbbbggf deeeef bbbbbbbbbbggf feeeea bbbbbbbbbbbbbbggf deeeec fgbbbbbbbbbbbbbbbbggf feeeea fgbbbbbbbbbbbbbbbbdeeeec fgbbbbbbbbbbbbeeeeegf fgbbbbbbbdeeeedbbbgf fgbbbeeeeebbbbbbbbgf fceeeeabbbbbbbbbbbbgf aeeeebbbbbbbbbbbbbbbbbgf feeeed fggbbbbbbbbbbbbbbbbg deeeef fggbbbbbbbbbbbbb feeeea fggbbbbbbbbb deeeec fggbbbbb feeeea fgbb ceeeec eeeee ceeeec aeeeef ceeeed aeeeef feeeed deeeef feeeea deeeec feeeea ceeeec eeeee ceeeec aeeeef ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Now, let's scrutinize the next spot. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#9d866eff b,#9f87d8ff c,#c8bcafff d,#b09ddeff e,#735230ff f,#e3dcedff g,#c8bae8ff ``` ```image bdgf feeeeea bbbbbdgf ceeeeea bbbbbbbbbdgf ceeeeea bbbbbbbbbbbbbdgf ceeeeea gdbbbbbbbbbbbbbbd aeeeeec fgdbbbbbbbbbbbd aeeeeec fgdbbbbbbbbg aeeeeec fgdbbbbbf aeeeeef gbbbbd feeeeeef dbbbbg feeeeee fbbbbbf feeeee gbbbbd ceeee dbbbbg ceee fbbbbbf cee gbbbbd ae dbbbbg a fbbbbbf gbbbbb dbbbbg bbbbbf fbbbbb dbbbbd bbbbbf fbbbbb gbbbbd bbbbb fbbbb gbbb dbb fbb ``` <!-- end of image --> Unfortunately, there's no intersection inside area B. Answer: A: 1; B: 0; 1 + 0 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#8d7358ff b,#9f88d8ff c,#c9bdb0ff d,#a99581ff e,#725130ff f,#e4dee7ff g,#bdace4ff ``` ```image cec eeef ceeeef eeaeee fee eee eea eee ee feee aee feea eef ceed dee deec eec aeec cee aeef eed eee cee eee eea eee fee eee eee feea ee ceea aee ceed g eef deec fbbbbf dee aeef gbbbbbbbbf eec eeef fgbbbbbbbbf cee eee fgbbbbbbbbf eed eee fgbbbbbbbgf fee eee fgbbbbbbbgf eea feee fgbbbbbbbgffee feea fbbbbbbeeef ceed fbbeebbbbg deec aeebbbbbbbbg aeec eef gbbbbbbbbg aeef dee gbbbbbbbbg eee eec gbbbbbbbbf eee cee gbbbbbbbbf eee eed gbbbbbbbbf eee fee fgbbbbbbbbf feea eea fgbbbbbbbgf ceea fee fgbbbbbbbgf ceed eee fgbbbbbg deec eef fbbbf aeef aee bbb eeef eef bbb eee dee fbbf eee eec gbb ef cee bbb eed bbf fee gbb eea bbb fee bbf eee gbb eef bbb aee bf eef dee eec cee eed fee eea ee eee eef aee eec dee eec cee eed fee eea ee eee f eef fea aee deee eec ceee dee feee eec eeedee eeeed eee dc ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#1930c6ff b,#dcfeccff c,#c3c9f0ff d,#8796dcff e,#b3fd93ff f,#afd6afff g,#4c60cfff ``` ```image ffffffffffffffffff ffffffffffffffffff ffffffffffffffffff fffffffffffffdffff bfeeeeeeeeeeeefffff bbbeeeeeeeeeeeeefffffffffffdgffff bbbeeeeeeeeeeeebbb ffffffffffffafffff eebbb ffffffffffffafffff be fffffffffffdgfffff e fffffffffffaffffff be fffffffffffaffffff e ffffffffffdgffffff be ffffffffffafffffff e ffffffffffafffffff e fffffffffggfffffff e fffffffffaffffffff e fffffffffaffffffff eb ffffffffggffffffff e e ffffffffafffffffff eb eb ffffffffafffffffff be e gd e bb a e e a e be gd eb e a be be a e e gc e e a e e ca eb e gc be eb a e e ca e eb ac e e a bb bb cg be e ac e bb a e e cg e be a bb e a be be dg e e a e e a e e dg bb e a be eb a e e dd e eb a e e a bb bb dd be e a e be a e e gd e be a bb e a be e gd e e a e e a e eb da gc bb e dagcg a e eb cag a ca e e caa gd gc c eeb aa a a gc ee aac a ca a bb aac cg ac a gac a a dd gad ggg a dad ac a dag g cg cag a caa gc caa a aa a aac dd gac a gad ac gad ca dad a dag gd cag a caa acaa dac ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#1930c6ff b,#d8fec7ff c,#a8b5e3ff d,#7b89deff e,#affb91ff f,#d8ddf3ff g,#4b5dd2ff ``` ```image cf bbbbbbbeeeeeeeee bbbbbbeeeeeeeeeeeeeeeeeeeeeec eeeeeeeeeeeeeebbbbbbb aaf bbbbbbb cag dad aaf cag gac aaf cag gac faa cag gac faa cag gac faa dad gac faa dad gac faa dad aaf faa dad aaf fag dad ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#182fc6ff b,#cbfeb5ff c,#b2baebff d,#7c89deff e,#b0fd8fff f,#e4f5e4ff g,#475ad1ff ``` ```image c ffbbeeeeeeeeeee ffbbeeeeeeeeeebbbff cg ffbbeeeeeeeeeebbbff af ebbbff a bb cg e af fe a e cg fe a e a e dd ef a e a ef dd e e a bf bb a fb e dd e bb a e e a e bb gc bf e a fb fe fa e e gc e fe a e e fa bf e gc fb ef a e e ca e ef ac e e a bf bb cg fb e af e bb a e e cg e fe af bf e a fb fe cg e e a e e a e ef dd bf e a fb ef a e e dd e bb a e e a bf bb dd fe e a e bb a e e dd e fe a bf e a fe fe gc e e a e e fa e ef da gc bf e cagcg a fe ef cag a fa e e caa gc gc c ebb faaf a a gc ee aaf a cg fa bb aac cg af a gac a a dd gad ggg a dad af af dag g cg cag a cag gc faa a faaf a aaf dd gac a gac af dad cg dad a cag gc cag a caa afaa daf ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#aa636bff b,#ca7fb3ff c,#b1d7b1ff d,#98c595ff e,#b3219aff f,#932436ff g,#e6c2d9ff ``` ```image bee eeeebg eee eeeeeeeeeg eeb gfa eebeeeeeeeeeeb gee fffb eeg geeeeeeeeeebg eee fffg ee gbeeeeeeeeeeg eee fffg ee beeeeeeeeeeb eeg fff gee geeeeeeeeeebg bee gfff gee gbeeeeeeeeeeg eee bfff gee beeeeeeeeeeb eeb afff bee geeeeeeeeeebg gee affa bee gbeeeeeeeeeeg eee fffa bee beeeeeeeeeeb eeb fffg eee gff geeeeeeeeeeeg fffddddddddeeedddddddddddddddfffffdddddd gbeeeeee dfffccccccceeecccccccccccccaffffffaccccc beg ddfffcccccceeecccccccccccdffffacfffccccc dcdfffccccceeeccccccccccfffffccccfffcccc dccafffcccceeeccccccccaffffdcccccaffdccc dcccafffccceebccccccdffffaccccccccfffccc dccccfffacceebcccccfffffccccccccccdffacc dcccccfffaceebcccaffffdccccccccccccfffcc dccccccfffdeebccffffacccccccccccccccfffc dcccccccfffeedfffffcccccccccccccccccaffd dccccccccffeeffffacccccccccccccccccccfff dccccccccdfeefffcccccccccccccccccccccdffa dcccccccccaeefccccccccccccccccccccccccfff dcccccccccdeeccccccccccccccccccccccccccfff dcccccccccbeeccccccccccccccccccccccccccaffb dcccccccccbeecccccccccccccccccccccccccccfff aff dcccccccccbeeccccccccccccccccccccccccccc fff fff dcccccccccbeeccccccccccccccccccccccccccc affg fff dccccccccceeeccccccccccccccccccccccccccc fff ffa dccccccccceeeccccccccccccccccccccccccccc gffa ffb dccccccccceeeccccccccccccccccccccccccccc fff ffg dccccccccceeeccccccccccccccccccccccccccc fff ff dccccccccceeeccccccccccccccccccccccccccc bffg gff dccccccccceeeccccccccccccccccccccccccccc fff bff cdddddddddeeaddddddddddddddddddddddddddd gffa aff eeb aff fff eeb fff fff eeg bffb ffa eeg fff ffb eeg fff ffg ee affg ff ee fff gff gee gffa bff gee fff aff gee fff fff bee bffb ffa bee fff ffa bee ffa ffg bee affg ffg eee fff gff eee gffb bff geeb fff aff eee fff fff eeeg affg fff beeb fff ffa eee gffa ffb eee fff ffg eeeg fff ff geee bffb gff eee fff bff eee fff aff beeb affgfff geee ffffff eee gffffa eee ffffb beeb fffg eee aff eee fa eeeg beeb eee eee eeeg geee eee eee eb ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a9505eff b,#c85fb6ff c,#c2828dff d,#dbacc3ff e,#b31f9aff f,#932436ff g,#eed8e2ff ``` ```image fffffd eeeeeg gcffffffc ffffffg eeeeeg dfffffffffg affffffg eeeee gaffffffffffa afffffa eeeee cfffffffffffffc gafffffa eeeee dfffffffffcafffffg gffffffc geeeee gaffffffffcg gfffffa gffffffc geeeee cffffffffad cfffffd dffffffd geeeeb dfffffffffc fffffa dffffffd geeeeb gaffffffffag dfffffc cffffffg deeeeb cffffffffad afffffg cffffffg deeeeb daffffffffc gfffffa afffffag deeeeb gaffffffffag cfffffd afffffa deeeeb cffffffffad afffffg gffffffa deeeed daffffffffc dfffffc gffffffc beeeed gaffffffffag cfffffd dffffffc beeeed cfffffffffd gfffffa dffffffd beeeed daffffffffc dfffffc cffffffdbeeeed gcffffffffag afffffg cffffffbeeeeg cfffffffffd gfffffa afffffeeeeeggaffffffffc cfffffd affffeeeeecffffffffag ffffff gafffeeeeeffffffffd dfffff gfffeeeeeffffffcg affff gffeeeeeffffag gffff dfeeeeefffd cfff ceeeeefcg aff geeeeed dff geeeeb cf geeeeb gf deeeeb d deeeeb deeeeb deeeeb deeeed beeeed beeeed beeeed beeeeg beeeeg beeeeg eeeeeg eeeee eeeee eeeee eeeee geeeee geeeeb geeeeb geeeeb ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ab5563ff b,#c452b0ff c,#c48892ff d,#d899c6ff e,#b31f9aff f,#932436ff g,#ebcfdeff ``` ```image dee eeeebg eee eeeeeeeebd eed gfa eebeeeeeeeeeed gee fffc eeg dbeeeeeeeeebg bee fffg ee gbeeeeeeeeebd eeb fffg ee deeeeeeeeeed eeg fff gee dbeeeeeeeeebg dee gfff gee gbeeeeeeeeebd eee dfff dee deeeeeeeeeed eed cfff dee dbeeeeeeeeebg gee affa dee gbeeeeeeeeebd eee fffc bee deeeeeeeeeed eeb fffd bee gff dbeeeeeeeeeeg fffg eee fffff gbeeeeee fff eee cffffffc ded gfff eee gffffa fff dfff eeb fffff fff cfff eeb cffffg affg affa eeb gffffa fff fffa eed affff gffc fffc eed cffffd fff fffgeeg gffffa fff fffeegaffff cffd ffeeffffd fff gfeeffa gffa ceefg affg gee fff gee dffc dee fff cff dee fff aff bee affg fff bee fff ffa bee gffa ffc eee fff ffg eee fff ff eee cffd gff eeb fff cff eeb gffa aff eed affg fff eed fff fff eed dffc ffa eeg fff ffc eeg fff ffg ee affg ff ee fff dff gee gffa cff gee fff aff dee fff fff dee cffd ffa dee fff ffc bee gffa ffd bee affg ffg bee fff gff eee dffc dff geeb fff cff eee fff aff eeeg affg fff deeb fff ffa eee gffa ffc eee fff ffg beeg fff ff deeb cffd gff eee fff cff eee ffa aff beed affgfff geee ffffff eee dffffa eeeg ffffc deeb fffg geee cff eee fa eeeg deeb eee eee beed geeb eee eee ed ``` <!-- 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,#c90fd8ff b,#dbe6deff c,#d263dbff d,#ebaaf0ff e,#f0f3f0ff f,#b2d7b2ff g,#a2cfa2ff ``` ```image e ebbbbbbbbbbbbbeee ebbbe eeebbbbbbbbbbeee ebbbe eeebbbbbb ebbbb ebbbe ebbbe bbbbe ebbbe ebbbe ebbbe be b b b d ee a be a b a eeeeeeeeeeeeeebeeeeeeeee dc gggggggggggggfbggggggggge cd gfffffffffffffbffffffffge ae gffffffffffffbfffffffffge a gffffffffffffbfffffffffge a gffffffffffffbfffffffffge a gffffffffffffbfffffffffge ea gffffffffffffbfffffffffge dc gfffffffffffbffffffffffge cd gfffffffffffbffffffffffge a gfacffffffffbffffffffffge a gffcaaaacfffbffffffffffge a gfffffffcaaaacfffffffffge a gffffffffffbfcaaaaccfffge da gffffffffffbffffffcaaaaad cc gffffffffffbfffffffffffccaaaade ad gffffffffffbfffffffffffge dcaaaace a gffffffffffbfffffffffffge dcaaaacd a gfffffffffbffffffffffffge ecaaaacd a gfffffffffbffffffffffffge edaaaacd ea gfffffffffbffffffffffffge dcaaacd dc gfffffffffbffffffffffffge dcaaaad cd gfffffffffbffffffffffffge dcaaaace ae gffffffffbbffffffffffffge dcaaaace a gggggggggbfggggggggggggge ecaaaacda eeeeeeeeebeeeeeeeeeeeeee edaa b b ee be b b b eb be b b b eb be b b b eb ee b b b b ee b b b b ee be b b b eb be b ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#c90cd8ff b,#dce6dfff c,#e075e8ff d,#e9a5eeff e,#eef2efff f,#f4d3f7ff g,#d544e0ff ``` ```image ebe bbe bb ebb ebe ebe bbe bb ebb ebe ebe bbe bb bb ebb ebe bbe bb bb ebb agcdf ebe faaaaaagcdf bbe fdcgaaaaaaagcdf bb fdcgaaaaaaagcddb fdcgaaaaaaaggcde edcgaaaaaaaagcdf ebefdcgaaaaaaagcdf bbe fdcgaaaaaaagcdf bb fdcgaaaaaaa ebb fdcgaa ebe f ebe bbe bb ebb ebe ebe bbe bb bb ebb ebe bbe bb bb ebb ebe bbe ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c90cd8ff b,#dce7dfff c,#de6ee7ff d,#e99ceeff e,#eff1f0ff f,#f3ccf6ff g,#d43fe0ff ``` ```image e ebbbbbbbbbbbbbeee ebbbe eeebbbbbbbbbbeee ebbbe eeebbbbbb ebbbb ebbbe ebbbe bbbbe ebbbe ebbbe ebbbe be b b b f ee a b a b a b dg b cd ee af be a b a b a b fa eb dc be gd b a acf b a fcaaaacf b a fcaaaacf a eedgaaagd fg b dgaaagd cc b dgaaagde af b fcaaaacf a eb fcaaaacf a ee fcaaaacf a b edgaaagd ea b dgaaagd dg b dgaaagd gd b fcaaaace ae ee fcaaaacf a b fcaaaacfa b edga b b ee be b b b eb be b b b eb be b b b eb ee b b b b ee b b b b ee be b b b eb be b ``` <!-- end of image -->
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This image seems promising for intersection detection. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#93c8dcff b,#c0e2eeff c,#83e0f1ff d,#b1d7b2ff e,#ecf5f3ff f,#95ca95ff g,#a6d1a7ff ``` ```image b a eae bab aaa aea a a a ab ea ba ba a ab a ae ae a bb a ea ea a bb a ab ab a ba a ea a a ba ae bb ab ab ea a a a a a ab b ba ba aae ab ea aaea ce ae a ba ba bc a ae ea aa c a ab ae ab cb ea ba ab ea ec ba a aa ba ce ab a ba aa bc ae ab ea ab c eeeeeeeeeeeeeaeeeeeeeee ba ae ae cb egggggggggggggaggggggggge eaab ba bc egddddddddddddaddddddddge aa aa c egdddddddddddaaddddddddge b ab cb egdddddddddddaaddddddddge ae ec egdddddddddddadddddddddge ea ce egdddddddddddadddddddddge aa bcb egdddddddddddadddddddddge ab bccbegdddddddddddadddddddddge ae cccddddddddddaadddddddddge ea eaccadddddddaadddddddddge ba egddccadddddaddddddddddge aa egddddcccdddaddddddddddge ae egddddddaccaaddddddddddge ea egdddddddddcacdddddddddge ba egdddddddddaacccdddddddge aa egdddddddddadddaccaddddge ab egdddddddddaddddddcccddge ea egdddddddddaddddddddcccge ba egdddddddddaddddddddddaccb aa egdddddddddadddddddddddgbccc ab egddddddddaadddddddddddge ccce ae egddddddddaddddddddddddge bccb ba egddddddddaddddddddddddge eccc aa egddddddddaddddddddddddge ccce ab egddddddddaddddddddddddge bccb ae egddddddddaddddddddddddge eccc ea egdddddddaaddddddddddddge ccce ba effffffffagfffffffffffffe bccb gfffffffffffaaffffff a eccc fddddddddddddadddddd a ccce fdddddddddddddaddddd a bccbfdddddddddddddaadddd ba ecccdddddddddddddadddd ab faccdddddddddddddddd ae fddaccaddddddddddddd a fdddddcccddddddddddd a fdddddddaccddddddddd ea fdddddddddaccadddddd ba fddddddddddddcccdddd ab fddddddddddddddadddd ebae fddddddddddddddddddd baaaaab fddddddddddddddddddd ebaaaabe fddddddddddddddddddd baaaaae fddddddddddddddddddd aaab fddddddddddddddddddd fddddddddddddddddddd fggggggggggggggggggg eeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#90c5ddff b,#d0eef6ff c,#80e0f2ff d,#bce3f0ff e,#e7f5faff f,#aad3e5ff g,#9be6f5ff ``` ```image daa faf fad aab eaae baa daa faf fad aab eaae baa daf faf aad aab eaae gb baa cccde daf gccccge faf edccccgb aad bcccccde aab bgccccge eaae edccccgb baa bcccccde daf bgccccge fad edccccgbaab bgcccaab bgcaacgb daacccgb dafbgccccde fad bgccccgb aab edccccgb eaae bgccccde baae egccccgb daa edcccccb faf bgccccde fad egcccc aab edcc eaae b baa daa faf fad aab eaae baa daa faf aad aab eaae baa daf faf aad ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Alright, let's examine the next area. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#91c6ddff b,#d7f2f9ff c,#80e0f3ff d,#afd5e6ff e,#eff9fcff f,#beecf6ff g,#9ee7f5ff ``` ```image eaaae baad faaf daab eaaae eaad baad e daab cgb daae cccgfe eaf fgccccfe e bgccccgb efcccccfe fgccccfe bgccccgb efcccccfe bgccccfe bgccccgb efcccccfe bgccccge bgccccgb efcccccf bgccc bgf ``` <!-- end of image --> Unfortunately, there's no intersection inside area B. Answer: A: 1; B: 0; 1 + 0 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#90c5ddff b,#ceeaf3ff c,#82e0f3ff d,#badbe9ff e,#e6f4f9ff f,#a4d0e3ff g,#a9e9f6ff ``` ```image b a eae daf afa aea a a a ab ea da df a ab a ae ae a fd a ea ba a df a ab ab a df a a a a ba ae fd fd ab ba a a a a a ab b ba df aae fd ea faea ce ae a ba da bc a ae ea af c a fd ab ab cg ea ba af ea ec ba a fa da c fd a da af gc ae ab ea ab c a df ae ae cb a eaad ba bc ea aa fa c df d ad cg fd ae ec ae ba ce a fa gcb a ad bccg ea ae ccce df ea gccb ab da bccg ae af ccce a ab gccba ea ecag da dfccce af ab gccb ab a eccg a a ccce ba a gccb fa ba eccg ad df gcce ae ab bccb ba a eccg fa a gcce ad a bccg ae ba eccc ea fd gcce fa ab bccg af a eccc ae a gcce ea a bccg da ba eccc a fd gccb ae bccg a eccc a gccb ea bccg ba eccc fd g edae bfaaafb edaaaade baaaafb aaad ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#14eb43ff b,#e5b87cff c,#91d697ff d,#f0d7b5ff e,#54eb71ff f,#b1d9b1ff g,#e6f6e4ff ``` ```image gf faaa gaaaaag gaaaaaaaf gaaaacaaaac aaaag gaaaae aaaaf aaaaa aaaaf aaaaa aaaac aaaaag aaa aaaae eaaaag aaag aaaae caaaac aaaf aaaae gaaaae aaac eaaaa gaaaaa aaae eaaaa aaaaa eaae eaaaa aaaaa caaa caaaa eaaaag faaa faaaa caaaaf gaaa faaaa faaaae gaaa gaaaa gaaaaa aaa gaaaag aaaaa aaa gaaaag aaaaa aaa gaaaag eaaaag aaag caaaaf eaaaaeccccccccccccccccccccc aaag eaaaaf faaaaeffffffffffffffffffff aaaf aaaaag gaaaaafffffffffffffffffff aaac aaaaa gcaaaaaffffffffffffffffff eaae gaaaaa gffaaaaafffffffffffffffff eaaa caaaae gfffeaaaaffffffffffffffff caaa eaaaaf gffbbbbaaacffffffffffffff faaa aaaaag gfbbbbbbaaaefffffffffffff gaaa aaaaa gbbbbbbbbeaaeffffffffffff aaaaaaaa bbbbbbbbbbbaaafffffffffff aaaaaae bbbbbfffbbbbbeaaffffffffff aaaaaf bbbbbfffffbbbbbbaafffffffff aaaag bbbbbfffffffbbbbbbaacfffffff eaa bbbbdffffffffffbbbbbeafffffff dbd bbbbdgfffffffffffbbbbbbfffffff gbbbbbbdg bbbbd gfffffffffffffbbbbbffffff bbbbbbbbbbbbd bbbbd gffffffffffffffbbbbbbffff bbbbbbbbbbbbbbbbbdg bbbbd gffffffffffffffacbbbbbfff gbbbd dbbbbbbbbbbbbbbd bbbbd gffffffffffffffaaabbbbbff bbbb gbbbbbbbbbbbbbbbd gffffffffffffffaaaebbbfff bbbb dbbbbbbbbbd gffffffffffffffeaaaffffff gbbbd gbbbbd gffffffffffffffeaaaffffff bbbb gffffffffffffffcaaaffffff bbbb gfffffffffffffffaaaffffff gbbbd gfffffffffffffffaaaffffff bbbb gfffffffffffffffaaaffffff bbbb gfffffffffffffffaaaffffff gbbbd gfffffffffffffffaaacfffff bbbb cccccccccccccccaaaeccccc bbbb eaae dbbbd eaaa bbbb faaa bbbb gaaa dbbbd aaa bbbb aaa bbbb aaa dbbbd aaag bbbb aaaf bbbb aaae dbbbd eaae bbbb caaa bbbb faaa dbbbg gaaa bbbb aaa bbbb aaa dbbbg aaa bbbb aaaf bbbb aaac dbbbg eaae bbbb eaaa bbbb caaa dbbbg gaaa bbbb aaa bbbb aaa dbbbg aaa bbbb aaag bbbb fg dbbbg bbbb bbb gg ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#14eb43ff b,#e5b87bff c,#8ef2a0ff d,#f0d6b3ff e,#4beb68ff f,#c6f9d0ff g,#96cb65ff ``` ```image aaaaaf aaaaaaf aaaaaaac aaaaaaaac aaaaaaaaae feaaaaaaaae eaaaaaaaaaf eaaaaaaaaaf caaaaaaaaac caaaaaaaaac faaaaaaaaae fggaaaaaaae dbbbbgaaaaaaef dbbbbbbgaaaaaaaf dbbbbbbbbbeaaaaaac dbbbbbbbbbbbgaaaaaac dbbbbbbbbbbbbbbeaaaaae dbbbbbbbbbbbbbbbbgaaaaae dbbbbbbbbbbbbbbbbbbgaaaaaef bbbbbbbbd dbbbbbbbbbbeaaaaaf bbbbbbbd dbbbbbbbbbbgaaaaaf bbbbbbd bbbbbbbbbbbeaaaac bbbbbd dbbbbbbbbbbgaaaac bbbbd dbbbbbbbbbbgaaaae bbbd dbbbbbbbbbbeaaae bbd dbbbbbbbbbbgaaaaf bd bbbbbbbbbbbeaae d dbbbbbbbbbbgaaf dbbbbbbbbbbgac bbbbbbbbbbbc dbbbbbbbbbbd bbbbbbbbbbb dbbbbbbbbbbd cbbbbbbbbbbd cagbbbbbbbbbbd faagbbbbbbbbbbd faaaebbbbbbbbbbb aaaaagbbbbbbbbd aaaaaacbbbbbbb aaaaaae bbbbb eaaaaae dbbd eaaaaae dd caaaaaa caaaaaa caaaaaaf faaaaaaf faaaaaac aaaaaac aaaaaac eaaaaae eaaaaae eaaaaaa caaaaaa caaaaaa faaaaaaf faaaaaaf ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#14ec43ff b,#e5b87bff c,#8bf5a2ff d,#efd3aeff e,#53ec70ff f,#bcf9caff g,#ebf5e2ff ``` ```image gc faaa faaaaag gaaaaaaaf gaaaacaaaac aaaaf gaaaae aaaaf aaaaa aaaac aaaaa aaaac aaaaag aaa aaaae eaaaaf aaag aaaae caaaac aaaf aaaae faaaae aaac eaaaa gaaaaa aaae eaaaa aaaaa eaae eaaaa aaaaa caaa caaaa eaaaag caaa faaaa caaaac faaa faaaa faaaae gaaa gaaaa gaaaaa aaa gaaaag aaaaa aaa gaaaag aaaaa aaa faaaaf eaaaag aaag caaaaf eaaaaf aaaf eaaaaf faaaac aaac aaaaag gaaaae aaac aaaaa aaaaa eaae gaaaaa aaaaa eaaa caaaae eaaaag caaa eaaaaf bbbbaaaf faaa aaaaag bbbbbbaaac gaaa aaaaa bbbbbbbbeaae aaaaaaaa bbbbddbbbbbaaa aaaaaae bbbbd gbbbbbeaa aaaaac bbbbd bbbbbbaa aaaag bbbbd dbbbbbaag eaa bbbbd bbbbbea gbd bbbbd dbbbbb gbbbbbbdg bbbbd gbbbbbg bbbbbbbbbbbbd bbbbd bbbbbd bbbbbbbbbbbbbbbbbdg bbbbd aebbbbb gbbbd gdbbbbbbbbbbbbbbd bbbbd aaabbbbd bbbb gdbbbbbbbbbbbbbbd aaaebbb bbbb dbbbbbbbbbd eaae g gbbbd gdbbbd caaa bbbb faaa bbbb gaaa gbbbd aaa bbbb aaa bbbb aaag gbbbd aaaf bbbb aaac bbbb eaae gbbbd caaa bbbb caaa bbbb gaaa dbbbd aaa bbbb aaa bbbb aaa dbbbd aaag bbbb aaac bbbb aaac dbbbg eaae bbbb caaa bbbb faaa dbbbg gaaa bbbb aaa bbbb aaa dbbbg aaa bbbb aaaf bbbb aaac dbbbg eaae bbbb eaaa bbbb caaa dbbbg faaa bbbb aaa bbbb aaa dbbbg aaa bbbb aaag bbbb cf dbbbg bbbb bbb gg ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#5c8061ff b,#a6cda7ff c,#f0fab9ff d,#335d39ff e,#85a188ff f,#f1f7eaff g,#b3d8b2ff ``` ```image fbgggggggggggggggggggggbf fbgggggggggggggggggggggbf fbgggggggggggggggggggggbf fbgggggggggggggggggggggbf ae fbgggggggggggggggggggggbbddd fbgggcccgggggggggggggggdddade fbggcccccggggggggggggaddd dd fgccccgcccgggggggggbdddef adg ccccggggccggggggggaddagbf dd ccccgggggggccgggggedddbggbf dd fcccfbgggggggccggggdddaggggbf gda fcccf fbggggggggccgedddggggggbf dd cccf fbgggggggggcdddegggggggbf edb cccc fbggggggggaddagggggggggbf dd cccc fbggggggbdddgcgggggggggbf ddf fcccf fbgggggdddagcccggggggggbf fda fcccf fbgggedddggggccggggggggbf dd cccc fbggdddeggggggccgggggggbf bde cccc fbadddggggggggccgggggggbf dd cccc fdddbggggggggggccggggggbf adf fcccf addagggggggggggggccgggggbf dd fcccf gdddbggggggggggggggccgggggbf dd fccc dddbfbgggggggggggggggccggggbf gde c eddd fbgggggggggggggggcccgggbf dd fdddg fbggggggggggggggggccgggbf edg adda fbgggggggggggggggggccggbf dd gdddf fbgggggggggggggggggcccgbf ddf ddde fbbbbbbbbbbbbbbbbbbbccbbf fda bdddef eddd ffffffffffffffffffffccf dd addddddde fdddg ccf edb dd gaddb adda cc dd dd gdddf fcc adf da ddde cc fdd gdb bddd cc dd edf fdddb ccf bde dd bdda cc dd dd df fcc adg dd ccf dd fde cc dd bdg fcc gda ad cc dd dd cc edb dd ccf dd da cc ddfgdb fcc fdaedf ccf dddd cc bddd fcc ddd cc ade cc df ccc cc cc ccf cc fcc ccf cc fcc cc cc ccf cc fcc ccf cc fcc cc cc ccf cc fcc ccf cc fcc cc cc ccf cc fcc ccf cc fcc c ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#56785aff b,#acbdadff c,#f1fab9ff d,#335c39ff e,#839d84ff f,#f5f9dfff g,#d0d9d1ff ``` ```image fccf f fccccc bd fcccccccc gadd fccccccccccf edddd fcccccccffcccc gaddddd fccccccf fcccf fedddddag fccccccc ccccf bdddddde cccccccf fcccc gadddddag cccccf ccccf eddddddb cccf cccc gadddddef cf fcccc fedddddag ccccf bdddddde fcccc fadddddag fcccf bddddddb ccccgadddddef fccedddddab bdddddde fedddddag bddddddec gadddddacccf eddddddbfcccc gadddddef fcccf fedddddag ccccf bdddddde fcccc gadddddag ccccf eddddddb cccc gadddddef fcccc fedddddag ccccf bdddddde fcccc gadddddag fcccc ddddddb ccccf ddddef fcccc ddab ccccf de ccccf g fcccc ccccf cccc fcccc ccccf fcccc fcccf ccccf fcccc ccccf cccc ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#547759ff b,#a4b6a7ff c,#f1fabaff d,#325c38ff e,#7a957eff f,#f4f9e2ff g,#cad5ccff ``` ```image ae gddd fcc dddede fccccc eddd dd cccf fcf fdddg edg cccc cc adda dd cccc cc gdddf dd fccc ccf ddde gde fcccf cc bddd dd cccf fcdddg edb cccc edda dd cccc gdddcc adf fccc adde fcc fda fcccf bddd cc dd cccf dddb cc bdb cccc edda ccf dd cccc fdddg cc adg fccc adde fcc dd fcccf gdddf ccf dd fccf dddb cc gde c eddd fcc dd fdddg cc edg adda cc dd gdddf ccf dd dddb cc gda bdddbf bddd fcc dd addddddde fdddg ccf bdb dd geddb edda cc dd dd gdddf fcc adf da adde cc fda gdb bddd cc dd edf dddb ccf bde dd bdda cc dd dd dg fcc edg dd ccf dd fde cc dd bdg fcc gde ad cc dd dd cc edb dd ccf dd da cc adfgdb fcc fdaedf ccf dddd cc bddd fcc ddd cc ade cc df fcf cc cc ccf cc fcc cc cc fcc cc cc ccf cc fcc ccf cc fcc cc cc ccf cc fcc ccf cc fcc cc cc ccf cc fcc ccf cc fcc c ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#51ca50ff b,#1bac50ff c,#92cf96ff d,#b1d8b1ff e,#6fcf77ff f,#e8f5ebff g,#42b96cff ``` ```image bbf d ebbbg cae bbbbbbd eaaa bbdcbbbbf aaae fbb gbbbg aaae cbb fbbbbc aaac bbg cbbbbf aaad bbd gbbbg faaaf bb fbbbbc faaaf cbb dbbbbf faaaf bbb gbbbb faaaf bbd fbbbbe faaaf bb dbbbbd faaa dbb ebbbb dcccccccccccccccccccccccaaa bbb bbbbg cddddddddddddddddddddddaaa bbc dbbbbd cddddddddddddddddddddcaaa bbf ebbbbf cdddddddddddddddddddcaaaf dbb bbbbg cddddddddddddddddddcaaadf gbb fbbbbedddddddddddddddddcaaaddf bbc cbbbbcddddddddddddddcaaadddf bbf gbbbbddddddddddddcaaaddddf dbb cbbbbedddddddddcaaadddddf gbb cdebbbbcddddddcaaaddddddf bbe cdddgbbbbddddcaaadddddddf bbf cdddddbbbbgdcaaaddddddddf fbb cddddddebbbbaaadddddddddf ebb cddddddddgbbbbddddddddddf bbg cddddddddcabbbbgddddddddf bbd cdddddddcaaacbbbbcddddddf fbb cddddddcaaadddgbbbbdddddf ebb cdddddcaaaddddddbbbbgdddf bbg cddddcaaaddddddddcbbbbedf bbd cdddcaaadddddddddddgbbbbf fbb cddeaaaddddddddddddddbbbbg cbb cdeaaaddddddddddddddddcbbbbc bbg ceaaadddddddddddddddddddcbbbbf bbd eaaaddddddddddddddddddddf gbbbg bb caaadddddddddddddddddddddf fbbbbc cbb caaaddddddddddddddddddddddf cbbbbf bbb caaadddddddddddddddddddddddf gbbbb bbc caaadccccccccccccccccccccccc fbbbbe bb caaa dbbbb dbb caaa gbg gbb caaa f caaa eaaa eaaa eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae aaae aaae aaac aaac aaac aaac aaac aaac aaac aaac aaac aaad aaad aaad aaad aaad aaad aaad aaad aaad aaad ad ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#50ca50ff b,#1cac50ff c,#96dc9eff d,#b9e8beff e,#6ac88cff f,#d8f2dbff g,#41b96dff ``` ```image f fa faa faaa faaaa faaaaa faaaaaa faaaaaac faaaaaac c faaaaaac bgd faaaaaac bbbef faaaaaac bbbbbc faaaaaac bbbbbbgd faaaaaac bbbbbbbbef faaaaaac febbbbbbbbc faaaaaac dgbbbbbbbgd faaaaaac cbbbbbbbbgf faaaaaac febbbbbbbbe faaaaaac dgbbbbbbbbd faaaaaac cbbbbbbbbgf faaaaaac febbbbbbbbe daaaaaac fgbbbbbbbbcdaaaaaac cbbbbbbbbbaaaaac ebbbbbbbbbaac fgbbbbbbbbe cbbbbbbbbgd daabbbbbbbbbef daaaaabbbbbbbbbc daaaaaaddgbbbbbbbgd daaaaaad cbbbbbbbbef daaaaaad febbbbbbbbc daaaaaad dgbbbbbbbgd daaaaaad cbbbbbbbbgf daaaaaad febbbbbbbbe daaaaaad dgbbbbbbbbd daaaaaad cbbbbbbbbg daaaaaad febbbbbbb daaaaaad fgbbbbb daaaaaad dbbbb caaaaaad ebb caaaaaad fg caaaaaad caaaaaad caaaaaad caaaaaad aaaaaad aaaaaf aaaaf aaaf aaf af f ``` <!-- end of image --> I can confirm that 1 intersection exists in area A. Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#51ca50ff b,#1bac50ff c,#8ed99bff d,#b3e5bbff e,#6ed077ff f,#dff3e3ff g,#41b96dff ``` ```image bbf d ebbbg cae bbbbbbc eaaa bbdcbbbbf aaae fbb gbbbg aaae cbb fbbbbc aaac bbg cbbbbf aaad bbd gbbbg aaaf bb fbbbbc faaaf cbb dbbbbf faaa bbb gbbbb faaa bbc bbbbe faaa bb dbbbbd faaa cbb ebbbb faaa bbb bbbbg faaa bbc dbbbbd faaa bb ebbbbf faaa dbb bbbbg faaa gbb fbbbbc faaa bbc cbbbbf faaa bbf gbbbg faaa dbb fbbbbc faaa gbb cbbbbf faaa bbe gbbbb faaa bbf fbbbbe daaa fbb dbbbbaaa ebb gbbbb bbg dabbbbe bbd daaadbbbbd fbb daaa ebbbb ebb daaa bbbbg bbg daaa dbbbbd bbd daaa ebbbbf fbb daaa bbbbg cbb daaa fbbbbc bbg caaa cbbbbf bbd caaa gbbbg bb caaa fbbbbc cbb caaa cbbbbf bbb caaa gbbbb bbc caaa fbbbbe bb caaa dbbbb dbb caaa gbg gbb caaa caaa eaaa eaaa eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae eaae aaae aaae aaac aaac aaac aaac aaac aaac aaac aaac aaac aaac aaad aaad aaad aaad aaad aaad aaad aaad aaad ad ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#634078ff b,#85df4fff c,#b8adc1ff d,#b1d8afff e,#a1e47bff f,#7f6890ff g,#ebf4e8ff ``` ```image e bbg dbbd gbbbe bb be bbg bb dbd bb bb eb bb db ebg gb dbe gbg bb bg bb bd ebg be gbe bb bb bb bb bb ebg eb gbe db bb gb bb bg ebd bd gbe be bb be bbg bb dbd bb gbb eb ge bb db gebbbbd bbg gb debbbbbeg dbd gbg dbbbbbbd bb bg gdbbbbbbd bb bd gebbbbbeg ebg be gebbbbbeg gbe bbbbbbdg bb ebd bb ebg gbe bb bb ebg gbe gggggggggggggggggggbb ddddddddddddddddddbbdg gaag dddddddddddddddddebedg caaaac dddddddddddddddddbbddg aa caaaf ddddddddddddddddbbdddg af gfaaac dddddddddddddddbbddddg ac caaac ddddddddddddddebeddddg ca gaaafg ddddddddddddddbbdddddg aa faaac dddacddddddddbbddddddg af caaaf dddaadddddddbbdddddddg ac gaaaag ddddaadddddebedddddddg ca faaac dddddaaddddbbddddddddg aa caaaf ddddddaaddbbdddddddddg af gfaaag dddddddaabbddddddddddg ac caaac dddddddcaaeddddddddddg ca gaaafg ddddddddbaaddddddddddg aa faaac dddddddbbfafdddddddddg af caaaac ddddddebedfafddddddddg ac gfaaafg ddddddbbdddaafdddddddg ca gfaaafg dddddbbdddddaacddddddg aa gaaac ddddbbdddddddaaddddddg af c dddebeddddddddaadddddg ac dddbbddddddddddaaddddg ca ddddddddddddddddaadddg aa dddddddddddddddddaaddg af dddddddddddddddddcaadg ac ddddddddddddddddddfaag ca dddddddddddddddddddfaf aa ddddddddddddddddddddfac af dddddddddddddddddddddaac ac ggggggggggggggggggggg aag ca aag aa aa af aa ac gaa ca gaaaa caaf cac ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#644179ff b,#86df50ff c,#c1b4c9ff d,#cbf1b4ff e,#a7e880ff f,#8d769cff g,#e7eee4ff ``` ```image ebbb dbbbe gbbbb ebbbg ebbbd dbbbe gbbbb ebbbg dbbbd gbbbe gbbbbg ebbbg dbbbd gbbbe bbbbg cc ebbbd caac dbbbe gaaaag gbbbe caaaag bbbbg caaaag ebbbd caaaf dbbbe faaaf gbbbe faaaf ebbbg faaaf ebbbd faaac dbbbe gaaaac gbbbb gaaaacebbbg gaaaabbbd caaaabe caaaag ebaaaag dbbfaaaf gbbbefaaaf bbbbg faaaf ebbbd faaaf dbbbd faaac gbbbe gaaaac bbbbg gaaaac ebbbd gaaaag dbbbe caaaag gbbbe caaaag bbbbg caaafg ebbbd caaaf dbbbe faaaf gbbbb faaaf dbbg faaaf gd faaac gaaaac gaaaac gaaaag caaaag caaaag caaaf caaa faa fa f g ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#624078ff b,#85df4fff c,#b6a7c0ff d,#c7f0aeff e,#a3e77bff f,#7f6291ff g,#e2e8deff ``` ```image e bbg dbbd bbbe bb be bb bb dbd bb bb eb bb db ebg db dbe gb bb bd bb bd ebg be gbe bb bb bb bb bb ebg eb gbe db bb gb bb bg ebd bd gbe be bb be bb bb dbd bb bb eb ge bb db gebbbbd bbg db debbbbbeg dbd bg dbbbbbbd bb bd dbbbbbbd bb bd gebbbbbed ebg be debbbbbeg dbe bbbbbbd bb ebd bb ebg gbe bb bb ebd gbe bb bb aag dbd caaaac gbb aa caaaf bb af faaag bb ag caaac dbd ca gaaaf bb aa faaac ag bb af caaaf aag ebg ag gaaaag aa dbe ca faaac aa bb aa caaaf aa bb af faaag gaaebg ac caaac gaae ca gaaaf baf aa faaac bbcaf af caaaag ebg fac ac faaafg gbe fac ca gfaaafg bb aag aa gaaac bb aag af c ebd aa ac gbe aa ca g aa aa gaa af gaa ac caf ca caf aa fac af fac ac aag ca aag aa aa af aa ac aa ca gaaaa gaaf cac ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#8a7cf0ff b,#cc7147ff c,#6043f8ff d,#ebc8b8ff e,#c8befcff f,#d49675ff g,#afd6afff ``` ```image aca ecccc cccce acccc ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce eccca eccc ggggggggggggggggggg accc ggggggggggggggggggg ccca ggggggggggggggggggg ccca ggggggggggggggggggg ccce ggggggggggggggggggg ccc gggggggggggggggggggccc gggggggggggggggggaccc ggggggggggggggggaccc gggggggggggggggcccc ggggggggggggggcccag gggggggggggggcccagg ggggggggggggcccgggg gggggggggggcccggggg gggggggggacccgggggg gggbggggacccggggggg ggbbbfgccccgggggggg gggbbbcccaggggggggg ggggfcccagggggggggg ggggcccbbgggggggggg gggcccgbbbggggggggg ggaccgggbbbgggggggg gggagggggbbbggggggg dfbbbf ggggggggggbbbfggggg dfbbbbbbbbbb gggggggggggbbbfgggg dfbbbbbbbbbbfd ggggggggggggfbbbggg fbbbbbbbbbbbfd gggggggggggggfbbbgg bbbbbbbfd gggggggggggggggbbbg dbbbfd ggggggggggggggggbbb fbbb gggggggggggggggggbbbd bbbf ggggggggggggggggggbbbd dbbbd gggggggggggggggggggbbbf bbbb ggggggggggggggggggg fbbb bbbf ggggggggggggggggggg dbbb fbbb ggggggggggggggggggg dbbb bbbb ggggggggggggggggggg bbb dbbbd ggggggggggggggggggg bbbd fbbb bbbd bbbb bbbf dbbbd fbbb fbbb dbbb bbbf dbbb dbbbd bbb bbbb bbbd bbbf bbbbbb bbbb dd ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#8c77faff b,#cc7047ff c,#6043f8ff d,#e3b39dff e,#bbaefbff f,#cb826fff g,#eddbdeff ``` ```image e ec acc accc acccc gcccccc ecccccca ecccccce ecccccce accccccg accccccg accccca gcccccca ecccccca ecccccce dg ecccccce dbbg acccccce dbbbbd accccccg bbbbbbd accccca gbbbbbbdgcccccca gfbbbbfcccccca fbbfcccccce ffcccccce accccccfg accccccfbbd accccccbbbbbd gccccccagbbbbbbd cccccca gfbbbbbf ecccce fbbbbbfg acce fbbbbbbg ae dbbbbbbg dbbbbbbd gbbbbbbd gbbbbbbd gfbbbbbf fbbbbbfg fbbbbbbg dbbbbbbg dbbbbbbd gbbbbbbd gbbbbbb gfbbbb fbbb fbb db d ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#8b76faff b,#cc7047ff c,#5f42f8ff d,#e4b5a0ff e,#c8befcff f,#d68d6cff g,#f2dcd3ff ``` ```image aca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce accca ecccc cccce eccca eccc accc ccca ccca ccce ccc eccc eccc accc acca ccca ccce ccce eccc eccc bg accc bbbd acca fbbccca fccce cccbb cccgbbb ecc bbbg a bbbg dfbbbf bbbd gdbbbbbbbbbb fbbf dfbbbbbbbbbbfd fbbb dbbbbbbbbbbbdg dbbb bbbbbbbfd gbbb gbbbdg bbbg fbbb bbbg bbbf bbbd dbbbg fbbf bbbb fbbb gbbbf dbbb dbbbg gbbb bbbb bbbg gbbbd bbbg fbbb bbbd bbbf fbbf gbbbd fbbb fbbb dbbb bbbf gbbb dbbbg bbbg bbbb bbbggbbbf bbbbbbg fbbb dd ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#c46ec2ff b,#877be0ff c,#e1bce3ff d,#efeaf3ff e,#cb94caff f,#b1d6b1ff g,#96ca95ff ``` ```image aa b aa bbb daa bbbd caa bbbd eaad bbbd aaac bbbd aaae bbbd aaae bbbd gggaaaagggggggggggg bbbd fffaaaaffffffffffffd bbbd fffaaaaffffffffffffd bbbd fffaaaaffffffffffffd bbbd fffaaaaffffffffffffd bbbd fffeeaaffffffffffffd bbbd fffffaaefffffffffffd bbbd fffffeaefffffffffffd bbbd fffffeaafffffffffffd bbbd ffffffaafffffffffffd bbbc ffffffaafffffffffffd bbbc ffffffaafffffffffffd bbbc fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc fffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc ffffffaafffffffffffd ffffffaaeffffffffffd ffffffeaeffffffffffd ffffffeaaffffffffffd fffffffaaffffffffffd fffffffaaffffffffffd fffffffaaffffffffffd fffffffaaffffffffffd fffffffaaffffffffffd fffffffaaffffffffffd fffffffaaefffffffffd fffffffeaefffffffffd gggggggeaaggggggggg daa aa aa aa aa cac aad caaaaaa aac caaaaaaaac eae caaaaaaaac caa caaaaaaaac daa caaaaaaaac aa ceaaaaaaac aa ceaaaaaaaed aa deaaaaaaaed aa aaaaaed aad daad aac eae eae aad caa daa daa eae aa aad aa daa aa eaa aad aad aac aa aac eaa eae aad caa aa daa eaa aa aac aa aa aa caa aad aac aac aa eac caa eae aac caa aa daa caa aad aac aaaaaac aa deaaaaaaaaed caa dcaaaaaaaaec aac ceaaaaaaaacd aa deaaaaaaaaec caa caaaaaaaaaac deaaaaa cc ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#c36ec2ff b,#867adfff c,#e8c7e7ff d,#f4e6f4ff e,#cd8bcfff f,#cfcaf2ff g,#dba9daff ``` ```image caaaaaaa gaaaaaaa gaaaaaaad eaaaaaaac eaaaaaaac aaaaaaaag aaaaaaaag daaaaaaaae daaaaeaaae caaaagaaaa caaaacaaaad dcgggdaaaad daaaac aaaac eaaag eaaag gaaae gaaae caaaa caaaad daaaad daaaac aaaac eaaag dffffffeaaaeffffffffffffffffffff fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb daaaad aaaac aaaac eaaag eaaag gaaae gaaaa caaaa caaaad daaaad aaaac aaaac eaaag eaaag gaaae gaaaa caaaa caaaad daaaad aaaac aaaac eaaag eaaae ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c46ec2ff b,#867ae0ff c,#e1bbe3ff d,#ecdef2ff e,#cc84cbff f,#988ee4ff g,#d79fd6ff ``` ```image ae b aa bbb daa bbb caa bbb gaad bbb eaac bbbd aaag bbbd aaae bbbd aaaa bbbd aaaa fbbd aaaa fbbd daaaa fbbd daaaa fbbd dcgaad fbbd aac fbbd eag fbbd cae fbbd daa fbbd aa fbbd aa fbbc dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc aad aac gag cae daa aa aa aa aa aad aac gag caa daa aa aa aa aa gag aad caaaaaa aac caaaaaaaac gag caaaaaaaac caa caaaaaaaac daa ceaaaaaaac aa ceaaaaaaag aa deaaaaaaagd aa deaaaaaaagd aa aaaaagd aad daad eac eae gag aad caa daa daa eae aa aad aa aa aa gae aa aad aad aa eac gaa gae aad caa aa daa gaa aa aad aa aa aa gaa aa aac aad aa eag caa gae aac caa aa daa caa aad aac aaaaaec aa deaaaaaaaagd caa dgaaaaaaaaec aac ceaaaaaaaagd aa dgaaaaaaaaed caa ceaaaaaaaaag dgaaaaa cc ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#f115a7ff b,#81d28aff c,#ea5bb9ff d,#b1d7b1ff e,#f9a5ddff f,#eef2edff g,#96cc98ff ``` ```image bf bbf fbb fbb fae fbb eaaf dbb eaa dbg caa gbg aaa bbd aac bbd aac bbf faae bbf eaaf bbf eaa fbb caa fbb aaa fbb aac dbb aac dbg dgggggggggggggggggggggggf faae gbg gdddddddddddddddddddddddf eaaf bbd gdddddddddddddddddddddddf eaa bbd gdddddddddddddddddddddddf caa bbf gdddddddddddddddddddddddf aaa bbf gdddddddddddddddddddddddf aac bb gdddddddddddddddddddddddf aac fbb gdddddddddddddddddddddddf faae fbb gdddddddddddddddddddddddfeaaf fbb gdddddddddddddddddddddddeaa dbb gddddddddddddddddddddddcaa dbbfgdddddddddddddddddddddaaa fbbbddddddddddddddddddddaaaf bbbddddddddddddddddddaacdf bbbgdddddddddddddddaacddf gdbbbdddddddddddddaaddddf gddgbbddddddddddcaadddddf gddddbbbdddddddcaaddddddf gdddddbbbdddddaaadddddddf gddddddgbbgddaaaddddddddf gddddddddbbbaacdddddddddf gdddddddddgbbgddddddddddf gdddddddddaabbbdddddddddf gdddddddcaaddbbbddddddddf gddddddcaaddddgbbgddddddf gdddddaaadddddddbbbdddddf gddddaaadddddddddgbbgdddf gdddaacddddddddddddbbbddf gddaacddddddddddddddbbbgf gdaadddddddddddddddddgbbd caaddddddddddddddddddddbbb caadddddddddddddddddddddddbbf aaadddddddddddddddddddddddffbbg aaagdddddddddddddddddddddddf gbbf aac gdddddddddddddddddddddddf fbbd faae gdddddddddddddddddddddddf bbb aae gdddddddddddddddddddddddf dbbd aae gdddddddddddddddddddddddf fbbb eaa gdddddddddddddddddddddddf gbbf aa gdddddddddddddddddddddddf fbbd aae gdddddddddddddddddddddddf bbb eaa gdddddddddddddddddddddddf dbbd aa gddddddddddddddddddddddgf fbbb aaf ffffffffffffffffffffffff gbbf eac fbbd aa bbb aaf dbbd eac fbbb aa gbbf aaf fbbg cac b aa fac aa aa cac eac faa aa aa eae cae aa faa eae aa aa cae caeaa aaa cae f ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#f114a7ff b,#83d28bff c,#f351bcff d,#ade1b3ff e,#f495d4ff f,#fbd0edff g,#d9f1dcff ``` ```image fc faa faaa bg eaaaa bbg eaaaac bbbd caaaac bbbbbg caaaae gbbbbbd fcaaaae gbbbbbbg faaaaaf dbbbbbg faaaaaf gbbbbbd eaaaacf dbbbbbg eaaaac gbbbbbd caaaac gbbbbbbg caaaae dbbbbbg fcaaaae gbbbbbd faaaaaf dbbbbbg faaaaaf gbbbbbd eaaaacf gdbbbbbg eaaaac dbbbbbeaaaac gbbbbbbaae dbbbbbe facbbbbbd faaaabbbbbbg eaaaacfdbbbbbd eaaaac gbbbbbd caaaac dbbbbbg caaaae gbbbbbd fcaaaae dbbbbbg faaaaaf dbbbbbd faaaaaf gbbbbbd eaaaacf dbbbbbg eaaaac gbbbbbd caaaac dbbbbbg caaaae dbbbbbd fcaaaae gbbbbbd faaaaaf dbbbb faaaaaf gbbb eaaaacf db eaaaac d aaaac aaae aae af f ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f114a7ff b,#82d28bff c,#f44fbdff d,#a9dfafff e,#f794d6ff f,#fbcfedff g,#d8f1dbff ``` ```image bg bb bb gbb faf gbb faaf dbb eaa dbb caa dbd aaa bbd aac bbg aac bbg faae bbg faaf bb eaa bb caa gbb aaa gbb aac dbb aac dbb faae dbd faaf bbd eaa bbg caa bbg aaa bbg aac bb aac bb faae gbb faaf gbb eaa dbb caa dbbg aaa gbbd aac bbb aac gbbd faae bbb faaf dbbg eaa gbbb caa bbb aaa gbbd aac bbbaac dbbe faabbb eaa bbb caa gbbd aaa bbb aac dbbg aac bbb faae bbb faaf gbbd eaa bbb caa dbbg aaa bbb aac bbbg aac gbbd aae bbb aaf dbbg cae bbb faa bbbg aa gbbd aaf bbb eac dbbg aa bbb aaf dbbg eac gbbd aa bbb aaf dbbg eac bbb aa dbbg aa gbbd eac b aa fac aa aa cae fae faa aa aa eae cae aa faa eae aa aa cae caeaa aaa caf f ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5a823ff b,#eeb0eeff c,#dbbe64ff d,#eedbaeff e,#f4eef2ff f,#b1d6b0ff g,#97c994ff ``` ```image ebb bbb bbbb bbbb bbb ebbb bbbbe bbbe bbbbb bbbb ebbbbbb ebbb bbbbbbbe bbb bbbebbbb bbbb bbbb bbbb bbbb bbbb bbbbb ebbb ebbb bbbbe bbbe bbbb bbbb bbbb bbbe ebbbb ebbb bbbb bbbbe bbb bbbb bbbb bbbb ebbb ebbbb bbbb bbbb bbbbe ebbb ebbbe bbbb bbbe bbbb bbbb bbbb bbbe ebbbb ebbb bbbb bbbbe bbbe bbbb bbbb bbbb ebbb ebbbb eeebbbbeeeeebbbb bbbbe gfffbbbfffffbbbfe bbbb gfffbbbffffbbbbfe ebbbb gfffbbbbfffbbbbfe bbbbb ddgfffbbbbffbbbbffe bbbb aaagffffbbbffbbbbffe bbbb eaaaaffffbbbbfbbbfffe ebbbb aaaaffffbbbbbbbbfffe bbbbe aaaaffffbbbbbbbfffe bbbb daaacfffbbbbbbffffe ebbbe aaaafffbbbbbbffffe bbbb ae eaaaaffbbbbbfffffe bbbb aaa aaaafffbbbbfffffe bbbb aaaaa gaaaaffbbbffffffe bbbb eaaaaa gcaaacffbbffffffe bbbb eaaaaa gfaaaaffffffffffe bbbb daaaac fggaaaaggggggggge ebbb daaaac caaae ebbb caaaad aaaa ebbb caaaad daaac bbb aaaaae aaaa bbb aaaaae eaaaa bbb aaaaa caaad bbbe aaaaa aaaa bbbe eaaaaa daaac eggbbbfggggggggggggggggaaaaa aaaa effbbbbffffffffffffffcaaaac eaaaa effbbbbfffffffffffffcaaaac caaad effbbbbffffffffffffcaaaad aaaa effbbbbfffffffffffaaaaage daaac effbbbbffffffffffaaaaaffe aaaa effbbbbfffffffffaaaaafffe aaaa effbbbbffffffffaaaaaffffe caaad efffbbbfffffffaaaaafffffe aaaa efffbbbbbffffaaaaaffffffe daaac efffbbbbbbbdaaaaafffffffe aaaa efffbbbbbbcaaaacffffffffe aaaa effffffbbcaaaacbbbbfffffe caaad efffffffaaaaadbbbbbbbbffe aaaa effffffaaaaaffbbbbbbbbbbbe daaac efffffaaaaaffffffbbbbbbbbbbbb aaaa effffaaaaaffffffffffbbbbbbbbbbbbe aaaa efffaaaaafffffffffffffffbbbbbbbbbbbe caaad effaaaaaffffffffffffffffe ebbbbbbbbbbbe aaaa egaaaaafffffffffffffffffe bbbbbbbbbbb daaac daaaaaffffffffffffffffffe ebbbbbbe aaaae caaaacfffffffffffffffffffe ebbb aaaa caaaacffffffffffffffffffffe e caaad aaaaagfffffffffffffffffffffe aaaa aaaaaggggggggggggggggggggggge daaac aaaaae aaaae aaaaa aaaa eaaaaa caaad eaaaaa aaaadaaaaa eaaaaaaac aaaaaac aaaad daad ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d6a823ff b,#efafefff c,#e7cd82ff d,#f3e7c3ff e,#f4cef4ff f,#deba52ff g,#fae9f9ff ``` ```image bbbbbbbg gbbbbbb ebbbbbbe ebbbbbb gbbbbbbb bbbbbbb bbbbbbbg ebbbbbbb ebbbbbbe bbbbbbbe gbbbbbbe gbbbbbbbg bbbbbbb ebbbbbbe bbbbbbbg gbbbbbbbg ebbbbbbe ebbbbbbb gbbbbbbb bbbbbbbe bbbbbbbg gbbbbbbb d ebbbbbbe ebbbbbbe a gbbbbbbe gbbbbbbbg ac bbbbbbb ebbbbbbb aad bbbbbbbgbbbbbbbg aaf ebbbbbbbbbbbbbb aaad gbbbbbbbbbbbbbe aaaa bbbbbbbbbbbbbg aaaac ebbbbbbbbbbbe aaaaad gbbbbbbbbbbbg aaaaaf bbbbbbbbbbb aaaaaad bbbbbbbbbbe aaaaaaa ebbbbbbbbb aaaaaaac gbbbbbbbbe faaaaaaad bbbbbbbbg daaaaaaaf ebbbbbbb caaaaaaad gbbbbbbe gaaaaaaaa bbbbbb caaaaaaac gbbbbg faaaaaaad gg daaaaaaaf caaaaaaad ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Now, let's dive into another area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#d6a822ff b,#efafefff c,#e3bd76ff d,#f6ecd1ff e,#f7dbf7ff f,#dcb64aff g,#ebd0a2ff ``` ```image ebbbbbbe daa ebbbbbbe daaa ebbbbbbe gaaaa ebbbbbbe gaaaaa ebbbbbbe caaaaaa bbbbbbb caaaaaaa bbbbbbb faaaaaaaa bbbbbbb faaaaaaaaa bbbbbbb dfaaaaaaaaad bbbbbbb daaaaaaaaaad bbbbbbb daaaaaaaaafd bbbbbbb gaaaaaaaaaf ebbbbbb gaaaaaaaaaf ebbbbbbe gaaaaaaaaac ebbbbbbe caaaaaaaaac ebbbbbbe caaaaaaaaag ebbbbbbe faaaaaaaaag ebbbbbbbee dfaaaaaaaaad ebbbbbbbbbbbe dfaaaaaaaaad ebbbbbbbbbbbbbbe daaaaaaaaafd bbbbbbbbbbbbbbbgaaaaaaaaafd ebbbbbbbbbbbbbgaaaaaaaaaf ebbbbbbbbbbbcaaaaaaaaafe eebbbbbbbcaaaaaaaaacbbbbe eebbbcaaaaaaaaacbbbbbbbbee efaaaaaaaaacbbbbbbbbbbbbee faaaaaaaaagbbbbbbbbbbbbbbbbbe dfaaaaaaaaagbbbbbbbbbbbbbbbbbbbbb daaaaaaaaaad eebbbbbbbbbbbbbbbbbbb daaaaaaaaafd ebbbbbbbbbbbbbbbb gaaaaaaaaaf eebbbbbbbbbbbb gaaaaaaaaaf eebbbbbbbbb gaaaaaaaaac eebbbbbb caaaaaaaaac ebbb caaaaaaaaag e faaaaaaaaag dfaaaaaaaaag dfaaaaaaaaad daaaaaaaaafd daaaaaaaaafd gaaaaaaaaaf aaaaaaaaaf aaaaaaaac aaaaaaac aaaaaag aaaaag aaaad ``` <!-- end of image --> I observe 1 intersection inside area B. Answer: A: 0; B: 1; 0 + 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d6a822ff b,#efafefff c,#e7c888ff d,#f2e5beff e,#f5d1f5ff f,#deba55ff g,#faf0f4ff ``` ```image geb bbbg bbbe bbbb bbb gbbb ebbbg bbbe bbbbb bbbb gbbbbbb ebbb bbbbbbbe bbbg bbbebbbb bbbe bbbb gbbbb bbbb bbbb ebbbe gbbb ebbb bbbbg bbbe bbbb bbbb bbbb gbbbg ebbbb ebbb bbbb bbbbe bbbg bbbe bbbb bbbe ebbb gbbbb bbbb bbbb bbbbe gbbb gbbbg bbbb bbbe bbbb bbbb bbbb bbbe ebbbb ebbb ebbb bbbbg bbbg bbbb bbbb bbbe ebbb gbbbb bbbb bbbb bbbbe gbbb bbbe bbbb bbbe bbbb gbbbb bbbb bbbe ebbbe dc ebbb ebbb bbbbg aaa bbbg bbbb bbbb gaaaa bbbegbbbg ebbbb faaag bbbbbbbb bbbbg aaaa gbbbbbbe bbbb caaac bbbbbb gbbbe aaaa bbbbbb bbbe ag gaaaa ebbbbg bbbe aaa faaad bbbb bbbb aaaaa aaaa bbbe bbbb gaaaaa caaac gbb ebbb daaaaa aaaa ebbb daaaaf gaaaa ebbb caaaaf faaad gbbb faaaac aaaa gbbb faaaad daaac bbb aaaaad aaaa bbb aaaaag gaaaa bbb aaaaa faaad bbbg aaaaa aaaa bbbg gaaaaa daaac bbbe daaaaa aaaa bbbe daaaaf gaaaa bbbe caaaac faaad bbbb faaaac aaaa bbbb faaaad daaaf bbbb aaaaag aaaa ebbb aaaaag gaaaa ebbb aaaaa faaad ebbb gaaaaa aaaa gbbbbbe gaaaaa daaaf bbbbbbbcaaaaf aaaa ebbbbbcaaaafg aaaa ebfaaaacbbbbg faaad faaaacbbbbbbbbe aaaa aaaaadgbbbbbbbbbbbe daaaf aaaaag ebbbbbbbbbbe aaaag aaaaa ebbbbbbbbbbbg aaaa aaaaa ebbbbbbbbbbbe faaad gaaaaa gbbbbbbbbbbbe aaaa daaaaa ebbbbbbbbbb daaaf daaaaf ebbbbbbg aaaag caaaac ebbb aaaa faaaac g caaad faaaad aaaa aaaaag daaaf aaaaag aaaag aaaaa aaaa gaaaaa caaad gaaaaa aaaadaaaaf daaaaaaaf aaaaaac aaaad caad ``` <!-- 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 have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#b65638ff b,#86710eff c,#caac8cff d,#e3d2c0ff e,#b28d5bff f,#b1d7b1ff g,#9cc592ff ``` ```image caac caaaaaa daaaaaaaaa daaaaaaac eaa eaaaaaac caa caaaaaae daa caaaaaaad aa daaaaaaad aad daaaaaaac aac eaaaaaac aae caaaaaae aaa caaaaaaad aaa daaaaaaad eaa daaaaaaac caa eaaaaaae daa caaaaaae aa caaaaaaad aad daaaaaaad aac daaaaaaac aae eaaaaaae aaa caaaaaae ggggggggggaaaggggggg caaaaaaad ffffffffffeaafffffff daaaaaaad ffffffffffeaafffffff daaaaaaac ffffffffffcaaffgffff eaaaaaae fffffffffffaafebbfff caaaaaae fffffffffffaagbbbfff aaaaaaad fffffffffffaaebbgfff caaad fffffffffffaaabbffff c fffffffffffaaabbffff fffffffffffaaabgffff fffffffffffaaabfffff fffffffffffeaabfffff fffffffffffeaagfffff fffffffffffbaaffffff fffffffffffbaagfffff ffffffffffgbaacfffff ffffffffffbbaaefffff ffffffffffbbaaafffff fffffffffgbbaaafffff fffffffffbbbaaafffff fffffffffbbbeaafffff ffffffffgbbgcaafffff ffffffffbbbfgaafffff ffffffffbbbffaagffff fffffffgbbgffaacffff bbed fffffffbbbfffaaeffff bbbbbbbbc fffffffbbbfffaaaffff bbbbbbbbbbbbbc ffffffgbbffffaaaffff bbbc cbbbbbbbbbbc ffffffbbbffffaaaffff bbbc debbbbbbbbbed ffffffbbeffffeaaffff bbbe debbbbbbbbbed fffffgbbfffffcaaffff bbbe debbbbbbbbbed fffffbbbfffffgaaffff bbbe cbbbbbbbbbbc fffffbbeffffffaaffff bbbe cbbbbbbbbbbed ffffebbfffffffaacfff bbbb cbbbbbbbbbbbc ggggbbbgggggggaaeggg dbb debbbbbbbbbbed bbe aae d cbbbbbbbbbbbe cbb aaa cbbbbbbbb bbb aaa debbb bbc eaa dbb cbb bb bbb bbd bbc bbc cbb bbe bbb bbb bbc bbb cbb ebb bbb cbb bbc dbb ebb dbb bbb bbd bbc bbcebb bbebbb bbbbbd bbbbb bbbbb ebbbd cbbb dbbb bbd ee ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b55537ff b,#87700dff c,#d0aa8fff d,#dcc9b1ff e,#c77f68ff f,#a99953ff g,#f0e3daff ``` ```image gaaaaa aaaaag aaaaag eaaaad eaaaac caaaac caaaae daaaae fd gaaaaa dbbbfd gaaaaa fbbbbf aaaaag bbbbbd aaaaagdbbbbb eaaaadfbbbbf eaaaacbbbbbd caaaaebbbbb caaaaabbbbf daaaaabbbbd gaaaaabbbb gaaaaabbbf aaaaabbbd aaaaabbb eaaaabbf eaaaabbd caaaaab caaaaaf caaaaad caaaaa faaaaa gbaaaaa cbaaaaag fbaaaaad gbbaaaaad cbbaaaaac fbbbaaaac gbbbbaaaae cbbbbaaaae bbbbbaaaaa gbbbbbaaaaa cbbbbbaaaaag bbbbbceaaaad gbbbbbgeaaaad cbbbbf caaaac bbbbbc caaaac dbbbbbg daaaae fbbbbf daaaae bbbbbc gaaaaa dbbbbbg gaaaaa fbbbbf aaaaag bbbbbc aaaaag dbbbbbg eaaaad fbbbbf eaaaac bbbbbc caaaac dbbbbbg daaaae fbbbbf daaaae bbbbbd gaaaaa dbbbbbg gaaaaa fbbbbf aaaaag bbbbbd aaaaag dbbbbb eaaaad fbbbbf eaaaac bbbbbd caaaac dbbbbb caaaae fbbbbf daaaae bbbbbd gaaaaa dbbbbb gaaaaa fbbbbf aaaaag gbbbbbd aaaaag cbbbbb eaaaad fbbbbf eaaaac ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b65537ff b,#86700dff c,#cfac8eff d,#decbb5ff e,#be8b65ff f,#9e8c3cff g,#f0e5ddff ``` ```image caac caaaaaa daaaaaaaaa gaaaaaaac eaa eaaaaaae caa caaaaaaeg daa caaaaaaag aa daaaaaaad aad gaaaaaaac aac eaaaaaae aae caaaaaaeg aaa caaaaaaag aaa daaaaaaad eaa gaaaaaaac caa eaaaaaae daa caaaaaaeg gaa caaaaaaag aad daaaaaaad aac gaaaaaaac aae eaaaaaae aaa caaaaaaeg aaa caaaaaaad eaa daaaaaaad caa gaaaaaaac daa d eaaaaaae gaa ebb caaaaaaeg aagbbb aaaaaaad aacbbd caaad aaabb c aaabb aaabd eaab caab caad faa baag gbaad fbaac bbaae gbbaaa fbbeaa bbfcaa dbbgdaa bbb gaa bbf aag dbbg aad gbbfd bbb aac bbbbbbbfd bbf aae bbbbbbbbbbbbbc dbbg aaa bbbc cbbbbbbbbbbcg bbb aaa bbbc dfbbbbbbbbbeg bbf eaa bbbe dfbbbbbbbbbfd dbb caa bbbe gebbbbbbbbbfd bbb gaa bbbf gcbbbbbbbbbbc bbe aag bbbf cbbbbbbbbbbed cbb aad bbbf dfbbbbbbbbbbcg bbb aac dbb debbbbbbbbbbfd bbe aae d cfbbbbbbbbbbe cbb aaa gcbbbbbbbb bbb aaa dfbbb bbe eaa dbb cbb bbg bbb bbd bbc bbc cbb bbf bbb bbb bbc bbb ebb fbb bbb cbb bbc dbb ebb gbb bbb bbg bbc bbcebb bbebbb bbbbbd bbbbb fbbbb ebbbd cbbb gbbb bbd ff ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#5dbea3ff b,#ec9527ff c,#21aa8dff d,#f8dcb9ff e,#b1d7b1ff f,#e2b569ff g,#93ca9dff ``` ```image d bbb bbbbd fbbbbb fbbbbbbd dbbbfdbbb dbbbf bbbd bbbb dbbb bbbb bbbd bbbb dbbb bbbb bbbf fbbbd dbbbf fbbbd fbbbb dbbbf fbbbb dbbbf fbbbb bbbb dbbbb bbbb dbbbd bbbb bd bbbb bbbb fbbbd dbbbf dbbbf bbbb bbbb bbbb bbbb bbbb fbbbd dbbbd dbbbf bbbb bbbb bbbb bbbb bbbb fbbbd fbbbd dbbbf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbg eeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeg eeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeg eeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeg eeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeg eeeeeeeeeeeeeeeeeeeeeeeeefbbbfeeeeg eeeeeeeeeeeeeeeeeeeeeeeefbbbfeeeeeg eeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeeeg eeeeeeeecccccaeeeeeeeeebbbbeeeeeeeg eeeeeeegccccccccccaeeebbbbeeeeeeeeg eeeeeeeccccccccccccccbbbbeeeeeeeeeg eeeeeeaccceegaccccccbbbbccccaeeeeeg eeeeeecccgeeeeeeegabbbbccccccccccag eeeeeaccceeeeeeeeefbbbgacccccccccccccae eeeeeccceeeeeeeeefbbbfeeeeegacccccccccccccae eeeecccceeeeeeeeebbbfeeeeeeeeeeegacccccccccccccae eeeeccceeeeeeeeebbbbeeeeeeeeeeeeeeg eacccccccccccccae eeecccceeeeeeeebbbbeeeeeeeeeeeeeeeg eacccccccccccccae eeeccceeeeeeeebbbbeeeeeeeeeeeeeeeeg eacccccccccccccae eecccaeeeeeeebbbbeeeeeeeeeeeeeeeeeg eaccccccccccccca eeccceeeeeeebbbbeeeeeeeeeeeeeeeeeeg eacccccccccccccg eeegaeeeeeefbbbeeeeeeeeeeeeeeeeeeeg eccccccccccccccg eeeeeeeeeefbbbfeeeeeeeeeeeeeeeeeeeg eccccccccccccccg eeeeeeeeefbbbfeeeeeeeeeeeeeeeeeeeeg gccccccccccc eeeeeeeeebbbbeeeeeeeeeeeeeeeeeeeeeg gcccccc eeeeeeeebbbbeeeeeeeeeeeeeeeeeeeeeeg gc eeeeeeebbbbeeeeeeeeeeeeeeeeeeeeeeeg eeeeeebbbbeeeeeeeeeeeeeeeeeeeeeeeeg eeeeebbbbeeeeeeeeeeeeeeeeeeeeeeeeeg eeeebbbbeeeeeeeeeeeeeeeeeeeeeeeeeeg eeefbbbfeeeeeeeeeeeeeeeeeeeeeeeeeeg eefbbbfeeeeeeeeeeeeeeeeeeeeeeeeeeeg egbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dbb d ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5dbfa8ff b,#ec9527ff c,#21aa8dff d,#f5d0a0ff e,#a2dbcfff f,#efaf5dff g,#ededdeff ``` ```image g gb fb fbb fbbb dbbbb dbbbbb gbbbbbb gbbbbbbb gbbbbbbbb fbbbbbbbg fbbbbbbbg fbbbbbbbd dbbbbbbbd dbbbbbbbd gbbbbbbbf gbbbbbbbf gbbbbbbbf fbbbbbbbg fbbbbbbbg fbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbf gbbbbbbbf eaccaeeg gbbbbbbbf gcccccccccaeeg fbbbbbbbg accccccccccccccaeeg fbbbbbbbg gccccccccccccccccccccaeeg fbbbbbbbd acccccccccccccccccccccccccaefbbbbbbbd ecccccccccccccccccccccccccccabbbbbbbd ccccccceeacccccccccccccccccabbbbbbbfaaeg ecccccce geaaccccccccccccbbbbbbbbccccccaaeg cccccca geaaccccccbbbbbbbbccccccccccccaaeg ecccccce geaabbbbbbbbccccccccccccccccccaaeg gcccccca fbbbbbbbccccccccccccccccccccccc accccccg fbbbbbbbdeaacccccccccccccccccccc gcccccca dbbbbbbbd geaaccccccccccccccc accccccg dbbbbbbbd geaccccccccccc ecccccce dbbbbbbbf eeacccccc acccccc gbbbbbbbf geeac ecccccce gbbbbbbbf ccccccc gbbbbbbbbg ecccccce fbbbbbbbg cccccca fbbbbbbbg ecccccce fbbbbbbbd gcccccca dbbbbbbbd accccccg dbbbbbbbf gcccccca gbbbbbbbf accccccg gbbbbbbbf accccce gbbbbbbbbg gaccc fbbbbbbbg eae fbbbbbbbg fbbbbbbbd dbbbbbbbd dbbbbbbbd gbbbbbbbf gbbbbbbbf gbbbbbbbf fbbbbbbbg fbbbbbbbg fbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbf gbbbbbbbf gbbbbbbbf fbbbbbbbg fbbbbbbbg fbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbf gbbbbbbbf gbbbbbbbf ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#69c5b2ff b,#ec9527ff c,#21aa8dff d,#f6d4a8ff e,#addfd5ff f,#f1b161ff g,#f1eee1ff ``` ```image g bbb bbbbd fbbbbb fbbbbbbd dbbbfdbbb gbbbf bbbd bbbb dbbb bbbb bbbd bbbb dbbb bbbb bbbf fbbbg dbbbf fbbbd fbbbf dbbbf fbbbb gbbbf dbbbb bbbb dbbbb bbbb gbbbd bbbb gbd bbbb fbbbg fbbbd dbbbd gbbbf gbbbb bbbb bbbb bbbb bbbbg fbbbg dbbbd dbbbf gbbbb bbbb bbbb bbbb bbbbg fbbbg dbbbd dbbbf gbbbf bbbb bbbb bbbb bbbb fbbbg fbbbd dbbbf gbbbf bbbb bbbb bbbb bbbb fbbbg fbbbd dbbbd gbbbf cccccag gbbbb ecccccccccceg bbbb ccccccccccccccbbbb eccc gaccccccbbbbcccce ccce gabbbbcccccccccae accc fbbbdacccccccccccccae cccg dbbbd eacccccccccccccae accc gbbbf eacccccccccccccae ccc gbbbb eacccccccccccccae ccca bbbb eacccccccccccccae gccc bbbb eacccccccccccccae ccca bbbb eacccccccccccccag ccc bbbbg eccccccccccccccag ee fbbbg eccccccccccccccag dbbbd geccccccccccccccag dbbbf gaccccccccccc gbbbb gacccccc bbbb gac bbbb bbbb bbbb fbbbg fbbbd dbbbf gbbbf dbb g ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? There are 3 areas where the lines seem to converge. We should take a closer look at area A, B,, and C. <!-- image --> ```palette Key,Color ,#fefefeff a,#a59fb7ff b,#b19e20ff c,#d9d4c5ff d,#bbb65fff e,#b0d6b0ff f,#f0f4eeff g,#97c995ff ``` ```image cb fbb bbbc dbdbd cbb bb bb bb bbc bb dbd bb cbb dbf bb cbc bbc bd dbd bb cbb bb bb bb bbc ffffdbffffffffff dbd geeedbgeeeeeeeegf cac cbb geeaabdeeeeeeeeef aa bb geaaabbeeeeeeeeef cac bbc geaaabbdeeeeeeeef aa dbd geaaedbbbbgeeeeef aac cbb gaaeeeadbbbbdeeef aa bbf gaaeeeaaaedbbbbdf aaf bbc aaeeeeeaaeeegbbbbd aa dbb aaeeeeeeaaeeeeedbbbbc aaf cbb caaeeeeeeeaaeeeeefcbbbbdf faa bbf aaeeeeeeeeaaaeeeef dbbbbc aa bbc faaeeeeeeeeeaaeeeef fbbbbbf fffcaafffffffffffffffdbb aageeeeeeeeeeaaeeef dbbbbe geeeaaeeeeeeeeeeeeeegbbg aageeeeeeeeeeaaaeef fbbbf geeeeaaeeeeeeeeeeeeebbeg aafgeeeeeeeeeeeaaeef fbb geeeeaaeeeeeeeeeeeebbdeg aa geeeeeeeeeeeeaaef bb geeeeaaaeeeeeeeeeedbbeeg cac geeeeeeeeeeeeaaaf dbc geeeeeaaeeeeeeeeegbbeeeg aa geeeeeeeeeeeeeaaf bb geeeeeaaeeeeeeeeebbeeeeg faa geeeeeeeeeeeeeeaa bb geeeeeeaaeeeeeeebbdeeeeg aaf geeeeeeeeeeeeeeaaa dbc geeeeeeaaeeeeeedbbeeeeeg aa ffffffffffffffffaaf bb geeeeeeeaaeeeeebbeeeeeeg caf aa bb geeeeeeeaaeeeebbeeeeeeeg aa caa cbe geeeeeeeeaaeebbdeeeeeeeg cac aac bb geeeeeeeeaaedbbeeeeeeeeg aa aa bb geeeeeeeeeaabbeeeeeeeeeg faa faa cbd geeeeeeeeeabbeeeeeeeeeeg aaf aac bb geeeeeeeeeebbeeeeeeeeeeg aa aa bbf geeeeeeeeedbdeeeeeeeeeeg cac faa fbd geeeeeeeeebbaaeeeeeeeeeg aa aaa bb geeeeeeeeebbaaeeeeeeeeeg cac aaf dbf geeeeeeeedbdaaeeeeeeeeeg aa faa fbb geeeeeeeebbeeaaeeeeeeeeg faa caa bb geeeeeeeebbeeaaeeeeeeeeg aaf aaf dbc geeeeeeedbdeeeaaeeeeeeeg aa aa bb geeeeeeebbeeeeaaeeeeeeeg cac caaggggggggbbggge geeeeeeebbeeeeeaaeeeeeeg aa faaeeeeeeeedbdeeg geeeeeedbdeeeeeaaeeeeeeg faa feaaeeeeeeeebbeeg geeeeeebbeeeeeeeaaeeeeeg aa feeaaeeeeeeebbeeg geeeeeebbeeeeeeeaaeeeeeg aa feeaaaeeeeeedbdeg geeeeedbdeeeeeeeeaaeeeeg aaf feeeaaeeeeeeebgeg geeeeebbeeeeeeeeeaaeeeeg aa feeeeaaeeeeeeeeeg geeeeebbeeeeeeeeeaaaeeegcac feeeeaaaeeeeeeeeg fffffcbdffffffffffaaffffaa feeeeeaaeeeeeeeeg bb cac faa feeeeeeaaeeeeeeeg bb aa aa feeeeeeaaaeeeeeeg cbd aaf aa feeeeeeeaaeeeeeeg bb aaaaf feeeeeeeeaaeeeeeg bb aaaa feeeeeeeeaaaeeeeg cbd faac feeeeeeeeeaaeeeeg bb aa feeeeeeeeeeaaeeeg bb feeeeeeeeeeeaaeeg cbd feeeeeeeeeeeaaeeg bbf feeeeeeeeeeeeaeeg bb feeeeeeeeeeeeeeeg fbd fggggggggggggggge dbf bb fbd dbf bb fbd dbf bb fbd cf ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a59db7ff b,#b19e20ff c,#e1d9a9ff d,#d4c984ff e,#c5c0d1ff f,#ebe8e3ff g,#beaf4dff ``` ```image faaaa gbbb eaaaf cbbbb faaae fbbbbd aaaaf gbbbg faaae dbbbg aaaaf cbbbbf eaaae fbbbbd aaaa gbbbg eaaae dbbbbf aaaa cbbbbf eaaae fbbbbd faaaa gbbbg eaaaf dbbbbf faaaa cbbbbc eaaaf fbbbbd faaae gbbbg aaaaf dbbbbf faaae cbbbbc aaaaf fbbbbd eaaae gbbbg aaaa dbbbbf eaaae cbbbbc aaaa fbbbbd eaaae gbbbg faaaa dbbbbf eaaafcbbbbc faaaabbbbd eaagbbbg faabbbbf agbbbc fbbbb fbbbgf dbbbae gbbbaa fbbbgaae dbbbaaaa gbbbeaaae fbbbgfaaaa dbbbc eaaaf gbbb faaaa fbbbg eaaaf dbbbc faaae gbbbf aaaaf fbbbg faaae dbbbc aaaaf gbbbf eaaae fbbbg aaaa cbbbc eaaae gbbbf aaaa fbbbg eaaae cbbbd faaaa gbbbf eaaaf fbbbg faaaa cbbbd eaaaf gbbbf faaae fbbbg aaaaf cbbbd faaae gbbbf aaaaf bbbg eaaae cbbbd aaaa gbbbf eaaae ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area A! Time for a closer look at another area. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#a59db7ff b,#b19e21ff c,#dcd8d7ff d,#d3c987ff e,#bfb9ccff f,#efedeeff g,#b8aa61ff ``` ```image gbbb dbbbf cedbbbc faagbbbd eaaabbbd faaaabbbg caaaabbbb aaaaagbbbf caaaeegbbbbdc eaaaf gbbbbbbbdf faaae cgbbbbbbbbgc eaaac eagbbbbbbbbbdf faaaa aaaggbbbbbbbbgc caaac faaaacdbbbbbbbbbdf aaaaf caaaa cgbbbbbbbbg caaae eaaae fdbbbbbbb eaaaf faaaac cgbbbb faaae caaaaf fdbb eaaac eaaae c aaaa faaaac aaae caaaaf aaaf eaaae aae faaaac aaf caaaaf aa eaaaa ac aaaae a faaaaf e eaaaa f aaaae faaaac caaaaf eaaae faaaac caaaa eaaa faaa caa ea a f ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Next up, a closer look at another region. This close-up might reveal an intersection in area C. <!-- image --> ```palette Key,Color ,#fefefeff a,#a59db7ff b,#b19e20ff c,#d9d095ff d,#d9d5ddff e,#bdb7caff f,#efededff g,#c2b453ff ``` ```image aaaad cbbbc daaaa dbbbg eaaae bbbbf faaaad cbbbc daaaaf fbbbg eaaae gbbbf faaaad cbbbc daaaaf fbbbg eaaae gbbbf aaaad cbbbc daaaaf fbbbg eaaaa gbgd aaaae f faaaaf daaaa eaaae faaaad daaaaf eaaae faaaad daaaaf eaaae faaaad daaaaf eaaae aaaad faaaaf eaaaa aaaae faaaad daaaa eaaae faaaad daaaaf eaaae faaaad daaaaf eaaf e ``` <!-- end of image --> My analysis shows that the lines in area C do not cross. Answer: A: 1; B: 0; C: 0; 1 + 0 + 0 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#a59db7ff b,#b19e1fff c,#e3dcb0ff d,#d1c57dff e,#c6c1d2ff f,#e9e6e5ff g,#beaf49ff ``` ```image cb bb bbbc gbgbd cbb bb bb bb bbc bb gbg bb cbb dbf bb cbc bbc bg gbg bb cbb bb bb bb bbc gb gbg fdbc fae cbb aabd aa bb eaabg eae bbc aaebbd aa gbg faa gbbbbc eaf cbb aa aabbbbg aa bb aa eaa gbbbbc aaf bbc eaf aaf cbbbbg aa gbg aa aa dbbbbc aa fbb eae faa fbbbbg aa bb aa aae dbbbbc aa bbc faa aa fbbbbgf faa dbg aa faa dbbbbd aa fbb aa aae fgbbf fae bb eaf aa fbg aa bbd aa faa bb eae dbg eae eae dbc aa fbb aa aaf bb eaf bbf faa aa bb aa bbd aa eaa dbc aaf dbb aa aaf bb aa fbb eaf aa bb aa bbf aa eaa cbd aa bbd fae aae bb aa dbb aa aa bb faabb aa faa cbd abbf aa aae bb fbb aa aa gb dba eaf faa fbg bbae aa eae bb bbaa fae aaf gbf dbceaf aa aa fbg bb aa aa eaa bb bb aaf aaf aaf dbc dbc aa aa aa bb bb aa eaf eaa bb bb aa aa aaf dbc cbd aa fae aa bb bb faa aa faa bb bb aa aa aae cbd cbd fae aaf aa bc bb aa aa faa bb eae eae aae cbd aa aa aa bb eaf fae faa bb aa aa eae cbd aaf aa aaf bb aaaaf aa bb aaaa eaa cbd aae aaf bb aa aa bb eaa fbd aae gb af bb fbg gbf bb fbg gbf bb fbg gbf bb bg cf ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#c754a3ff b,#b7571bff c,#efd3e0ff d,#c88a61ff e,#d897b8ff f,#b2d7b1ff g,#9ac694ff ``` ```image ac aaae aaaae aaaae aaaaa eaaaa caaaa caaaa aaaac aaaac aaaae c aaaaa aaa aaaaa caaaac eaaaa aaaaaae caaaa aaaaaaaa caaaa aaaeaaaaa aaaac caaa aaaaac aaaae aaaa aaaaac aaaae aaae aaaaae aaaaa aaac eaaaae eaaaa caaa caaaac eaaaa eaaa aaaa caaaa aaae caaae aaaac aaac aaaa aaaac caaa aaaa aaaae eaaa eaaae aaaaa aaae aaaa aaaaa aaac aaaa eaaaa caaa eaaae caaaa eaaa aaaa caaaa aaae aaaa aaaac aaac eaaae aaaae caaa aaaa aaaae eaaa aaaa aaaaa aaaa eaaaaaaaa ebb aaac aaaaaaa cbbbbb caaa aaaaa dbbbbbbbd eaaa eaaa dbbbbbbbbbe aaaa aac cbbbbbbbbbd aaac cbbbbbbbbbd caaa dbbbbbbbbbc eaaa ebbbbbbbbbe aaaa cbbbbbbbbbd aaac dbbbbbbbbbc caaa bbbbbbbbbe eaaa ebbbbbbbd aaaa bbbbbbd aaac dbbbbbd caaa cbbbbbbc eaaa dbbbbbd aaaa cbbbbbb aaac bbbbbbe caaa ebbbbbb aaaa bbbbbbe eaaac ebbbbbb aaaa bbbbbbc aaaa dbbbbbd eaaae cbbbbbbc aaaa dbbbbbd aaaa cbbbbbb caaae bbbbbbe aaaa ebbbbbb aaaac bbbbbbc aaaa dbbbbbb aaaa bbbbbbc eaaae dbbbbbd aaaa cbbbbbb gggggggggaaaaggggggbbbbbbd ffffffffeaaaaffffgbbbbbb ffffffffaaaaffffbbbbbbe fffffffaaaafffdbbbbbb fffffffaaaaffbbbbbbg ffffffaaaafdbbbbbbfg fffffeaaaebbbbbbgffg fffffaaaabbbbbdffffg ffffaaaabbbbbffffffg fffeaaaabbbdfffffffg fffaaaabbbfffffffffg ffaaaabbdffffffffffg fgaaaabffffffffffffg ffaaagfffffffffffffg fffdeffffffffffffffg fffffffffffffffffffg ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#c753a2ff b,#b7561bff c,#e8c2caff d,#c26c4eff e,#d787beff f,#d7a382ff g,#f5e6e9ff ``` ```image caaaaaaae gaaaaaaaa eaaaaaaac f caaaaaaae cdb aaaaaaaag gfbbb eaaaaaaac cbbbbb gaaaaaaae gdbbbbbb eaaaaaaag fbbbbbbbb caaaaaaae gdbbbbbbbbb gaaaaaaaa fbbbbbbbbbbb eaaaaaaac cdbbbbbbbbbbbf caaaaaaae fbbbbbbbbbbbdc aaaaaaaagcdbbbbbbbbbbbf eaaaaaaacfbbbbbbbbbbbdg gaaaaaaaabbbbbbbbbbbbf eaaaaaaabbbbbbbbbbbdg caaaaaaadbbbbbbbbbbc gaaaaaaaabbbbbbbbbfg eaaaaaaadbbbbbbbdc caaaaaaaabbbbbbbf aaaaaaaabbbbbbdc eaaaaaaadbbbbbf caaaaaaaabbbbdg caaaaaaaabbbbf fdaaaaaaadbbdg caaaaaaaabbc eaaaaaaadfg caaaaaac caaaag fdac ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c753a3ff b,#b7561bff c,#e7b9d1ff d,#c88055ff e,#d57fbaff f,#dcae91ff g,#f3dee7ff ``` ```image gag aaac aaaac aaaae aaaaa eaaaa caaaa gaaaa aaaag aaaac aaaae g aaaae aaa eaaaa caaaag eaaaa eaaaaae caaaa aaaaaaaa gaaaag aaacaaaaa aaaag caaa aaaaag aaaac eaaa aaaaac aaaae aaae eaaaae aaaaa aaag caaaae eaaaa gaaa gaaaag caaaa eaaa aaaa gaaaa aaae caaae aaaag aaag aaaag aaaac gaaa aaaa aaaae eaaa caaae aaaae aaae aaaa eaaaa aaag aaaa eaaaa gaaa caaae caaaa eaaa aaaa gaaaa aaae aaaa aaaag aaag caaae aaaac gaaa aaaa aaaae eaaa aaaa aaaaa aaae eaaaaaaaa fbb aaac aaaaaaa gbbbbb gaaa aaaaa dbbbbbbbd eaaa eaaag fbbbbbbbbbf aaae eag cbbbbbbbbbf aaac gdbbbbbbbbdg gaaa dbbbbbbbbbc eaaa fbbbbbbbbbf aaae gbbbbbbbbbd aaac dbbbbbbbbbg gaaa bbbbbbbbbf eaaa fbbbbbbbf aaaa bbbbbbdg aaac dbbbbbd gaaa gbbbbbbg eaaa dbbbbbd aaaa gbbbbbb aaac bbbbbbf gaaa fbbbbbb aaaa bbbbbbc eaaag fbbbbbb gaaaa bbbbbbg aaaa dbbbbbd caaac gbbbbbbg aaaa dbbbbbd aaaa cbbbbbb caaae bbbbbbf aaaa fbbbbbb eaaag bbbbbbc gaaaa fbbbbbd aaaa bbbbbbg eaaac dbbbbbd aaaa gbbbbbbg aaaa dbbbbbf caaae cbbbbbb aaaa bbbbbbf eaaag fbbbbbb gaaaa bbbbbbc aaaa fbbbbbd eaaacbbbbbbg aaaabbbbbd aaaabbbbbg caaaabbbf aaaabbb aaaabbf caaaab aaac dc ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#4271c3ff b,#edbb89ff c,#b2d7b1ff d,#7ca4c2ff e,#eff4edff f,#1148c6ff g,#a6d0a7ff ``` ```image eeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eggggggggggggggggggbgbggggggggggggggggggggggggggggggggggggggge egcccccccccccccccccbccbcccccccccccccccccccccccccccccccccccccge egccccccccccccccccbcccbcccccccccccccccccccccgcccccccccccccccge egccccccccccccccccbccccbccccccccccccccccccafacccccccccccccccge egcccccccccccccccbccccccccccccccccccccccgfgcfcccccccccccccccge egcccccccccccccccbccccccbccccccccccccccfacccfcccccccccccccccge egccccccccccccccbccccccccbcccccccccccdfcccccfcccccccccccccccge egccccccccccccccbccccccccbcccccccccgfdccccccacccccccccccccccge egcccccccccccccbccccccccccbcccccccaaccccccccacccccccccccccccge egcccccccccccccbcccccccccccbccccdfgcccccccccdgccccccccccccccge egccccccccccccbccccccccccccbcccfdccccccccccccdccccccccccccccge egccccccccccccbcccccccccccccbafccccccccccccccaccccccccccccccge egcccccccccccbcccccccccccccgagcccccccccccccccfccccccccccccccge egccccccccccccccccccccccccfacbcccccccccccccccfccccccccccccccge egccccccccccbcccccccccccdfccccbccccccccccccccfccccccccccccccge egccccccccccccccccccccgfdcccccbccccccccccccccfccccccccccccccge egcccccccccbcccccccccaaccccccccbcccccccccccccaccccccccccccccge egccccccccbccccccccdfcccccccccccbccccccccccccdgcccccccccccccge egccccccccbcccccccfdccccccccccccbccccccccccccgdcccccccccccccge egcccccccbcccccccfcccccccccccccccbccccccccccccacccccccccccccge egcccccccbccccccfcccccccccccccccccccccccccccccacccccccccccccge egccccccbccccccddcccccccccccccccccbcccccccccccfcccccccccccccge egccccccbccccccfcccccccccccccccccccbccccccccccfcccccccccccccge egcccccbccccccfccccccccccccccccccccbccccccccccfcccccccccccccge be egcccccbcccccddcccccccccccccccccccccbcccccccccacccccccccccccge eb egccccbccccccfcccccccccccccccccccccccbccccccccdcccccccccccccge eb egccccbcccccfccccccccccccccccccccccccbccccccccgdccccccccccccge b egcccbcccccddcccccccccccccccccccccccccbccccccccdccccccccccccge b egcccbcccccfcccccccccccccccccccccccccccccccccccaccccccccccccge be egccbcccccfccccccccccccccccccccccccccccbcccccccfccccccccccccge be egccbccccddcccccccccccccccccccccccccccccbccccccfccccccccccccge eb egcbcccccfccccccccccccccccccccccccccccccbccccccfccccccccccccge eb egcbccccfccccccccccccccccccccccccccccccccbcccccgacccccccccccge b egbccccddccccccccccccccccccccccccccccccccbccccccagccccccccccge begcccccfccccccccccccccccccccccccccccccccccbccccccfccccccccccge bbccccfcccccccccccccccccccccccccccccccccccbccccccgacccccccccge egcccddccccccccccccccccccccccccccccccccccccbccccccadccccccccge f egcccfcccccccccccccccccccccccccccccccccccccccccccccfccccccccge a egccfcccccccccccccccccccccccccccccccccccccccbcccccccfcccccccge ee egcddccccccccccccccccccccccccccccccccccccccccbccccccddccccccge a egcfcccccccccccccccccccccccccccccccccccccccccbcccccccfccccccge f egfcccccccccccccccccccccccccccccccccccccccccccbcccccccfcccccge d eddcccccccccccccccccccccccccccccccccccccccccccbcccccccgaccccge d efcccccccccccccccccccccccccccccccccccccccccccccbcccccccagcccge f fgccccccccccccccccccccccccccccccccccccccccccccccccccccccfcccge a cdgccccccccccccccccccccccccccccccccccccccccccccccbcccccccgaccge ce fegcccccccccccccccccccccccccccccccccccccccccccccccbcccccccagcge f f egcccccccccccccccccccccccccccccccccccccccccccccccbccccccccfcge f ed egggggggggggggggggggggggggggggggggggggggggggggggggbggggggggfgeed f eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeedc a f b f f ed ee fa f b ee a ee ed b f b a b ed b f be a b ed ee f b a b ed b c b b b ee b ee b b b b ee b ee b ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#4a72d5ff b,#f7ba87ff c,#aec0ecff d,#7896e0ff e,#fad5b7ff f,#1248c9ff g,#f0ecedff ``` ```image ebb bebe b ebg ge bb e gbe gb ebg eb bb cg bb eb dfffa gbg be cfd da bb ebg gafg df gbg bb dffc cf bb gbe cafdg cfg ebg ebg gdfac gfc be bb cffc fc ebg gbe gafag fd be eb dffc aa ebg be cffd da be eb gfag df eb b dfc cf be ge cffd cfg gbe bb cffc fc eb gbe cafdg fd gbe ebgdfac ad eb bbfd aa gbe gaabe df eb ffceb cf gbe cfd gbe cfg bb gafa ebg gfc bg dffc bb gfc b cafdg gbe fd gg gdfag ebg ad b cffc be aa be dfac eb df ebg ffd be cfg be gaag ebg cfg ebg dff bb gfc be gffd gbe fc eb afg ebg fd be cfc bb aa eb gfd gb da gbe afg e df eb cfc e cf gbe gfd bg cfg eb afg bb gfc gbe cfc gbe fc gbg afg bb ad bb cfc gbe aa gbg gfa eb df bb afg be cf gbg cfc ebg cfg be fa eb gfc ebg fg gbe gfc be cc ebg fd ebg gf be ad be af ebg aa bg cfc bb da e gfa gbg df e afg eb cfg eb gfa eb gfc gbe afg be fd eb cfc ebg af gbe gfa be gfd eb afg gb cfc gbe cfc b af eb gfa ge gf gbg afg b cc bb cfc be fg bbg gfa ebg fa bb afg be cfd cfc ebg dfc gfa bb af fc eb cfc ga gbe afg dg eb gfa cf be cfc gfa ebg afg dfg bb gfa cfc gbg cfd gfa bb dfg dfg gbe aa cfc eb gfd gfa be dfc dfg ebg afg fc be gfd g bb ag gbe ga eb fc gb dfg eg fa e cfd bg dfc ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3e68d1ff b,#f8bb88ff c,#b1c3edff d,#7997e0ff e,#fad9bdff f,#1348c9ff g,#f1ececff ``` ```image b e b b ge b b g b b dfa b eg gfg f b b ad f b b cf f e e fc a b b aa d e ge cf cg b b fc c ge bda d b gae a ge fd b f b df b f eg gfc eg a b ad b d eg cf e cg b fc b gc e f b d b f ge a e cc b f b f b f b f eg f ee b cc b a eb b f e c gb b f b gc b b cc b d b e f eg a bg b f b f be e cc ge f ee b f b f gb ge f b gd b b cc b ag b ge f b f bb f eg a cc b dc f f ge f a f b f cc cc e cc a f b f f f b f d cc e gd d f b ag f f eg f a cc b ga cg f ge dg f f b f f cd b a gc f b cc d a b f f cd eg fd f b cg a ge cd b f e a b cd b f e a b cd gg f b a e gd b c b e b eg b ge b b b b eg b ge b ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#6033ddff b,#146b7eff c,#d0d3edff d,#54959dff e,#8f76dfff f,#93c49dff g,#b0d6b2ff ``` ```image cc aac aaea ea aa ac aa aa aa ea aa cac aa ae aa dfc aa ae bbbbbbdfc ea cae cdbbbbbbbfc ae cae cdbbbbbbbfc aa cac cdbbbbb ea eac b cac eac b ae ea b aa aa b ca aa b ae aa bc aa aa bc ea aa bg ac aa bg aa aa bf ea ae bd cac cae bd ae cae ffffffffffbbffffffffaafg cac ggggggggggbbgggggggeaggf eac ggggggggggbbgggggggaeggf eac ggggggggggdbggggggaagggf ea ggggggggggdbgggggeaggggf aa ggggggggggdbgggggafggggf aa ggggggggggdbggggaagggggf a ggggggggggfbgggaaggggggf ggggggggggfbggeagggggggf ggggggggggfbggaegggggggf gggggggggggbgaaggggggggf gggggggggggbeagggggggggf gggggggggggbaegggggggggf gggggggggggaaggggggggggf ggggggggggaafggggggggggf gggggggggfabfggggggggggf gggggggggaebfggggggggggf ggggggggaagbdggggggggggf gggggggeaggbdggggggggggf gggggggaeggbdggggggggggf ggggggaagggbdggggggggggf gggggeaggggbbggggggggggf gggggafggggbbggggggggggf ggggaagggggbbggggggggggf gggaaggggggdbggggggggggf g ggeagggggggdbggggggggggf cbbbc ggaegggggggdbggggggggggf cbbbbc faaffffffffdbffffffffffg cbbbbg ea gb cdbbbg ac cb dbbbg aa cb dbbbf ea b dbbbf cac b cbbf ae b bbd aa b gbbc ea b bbd ae bc dbb aa bc cbbg ea bg bbd cac bf gbbc ae bf bbd aa bd dbb ca bd cbbg ae bd bbd aa db gbbc ea db bbd ac db dbb fb cbbg fb bbd gb gbbc cb bbd cb dbb bbbg bd ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f31ddff b,#11697eff c,#af98eeff d,#89b4beff e,#8260e4ff f,#d3d7edff g,#45879bff ``` ```image bbg faaaf bbg eaac gbb caae gbb faaaf gbb eaac gbb caae gbb faaaf dbbf aaac dbbf eaae dbbf caaa dbbf faaaf dbbf eaac dbbd caae dbbd faaaf fbbd aaac fbbd eaae fbbd caaa fbbd faaaf fbbg eaac bbg caae bbg faaaf bbg eaac bbgcaae gbgaaaf gbaaac gaaae gaaa faaaf eaaaf caaabf faaabbf aaaebbf eaaedbbf caaa dbbd faaaf dbbd eaac fbbd caae fbbd faaaf fbbd eaac fbbd caae fbbd faaaf bbg aaac bbg eaae bbg caaa bbg faaaf bbg eaac gbb caae gbb faaaf gbb aaac gbb eaae gbbf caaa dbbf faaaf dbbf eaac dbbf caae dbbf ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#6032deff b,#11697dff c,#b2bbdfff d,#74a7b3ff e,#8c6ae7ff f,#dcdef1ff g,#398293ff ``` ```image ff aaf aaea ea aa fac aa aa aa ea aa faf aa ae aa gdf aa ae bbbbbbgdf ca fae cdbbbbbbgdf ac fae cdbbbbbbgdf aa cac cdbbbbb ea cac fb faf eaf b ae eaf b aa ea b caf aa b ae aa bf aa aa bf ea aa bc fac aa bc aa aa bd ea fae bd faf fae bg ae fac bg aa cac gg ca eaf gb ac eaf db aa ea db ea aa db faf aa cb ae a cb aa fb caf fb ae b aa bea bac aa eaf fabf aebc aa bc ca bd ac bd aa bd ea bg faf gg ae gb aa gb c ca db cbbbc ae db fgbbbc aa cb fgbbbc ea cb fgbbbc fac fb fgbbbc aa fb gbbbd ea b dbbbd faf b fbbd ae b gbg aa b cbbf ca bf bbd ac bf dbb aa bc fbbc ea bc gbg faf bd cbbf ae bd bbd aa bd dbb ca bg fbbc ae bg gbg aa gb cbbf ea gb bbd ac db dbb db fbbc db gbg cb cbbf cb bbd fb dbb bbbc bg ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#a77861ff b,#6e6003ff c,#ded1c6ff d,#b1a985ff e,#f0f5eeff f,#867e33ff g,#b0d6afff ``` ```image a daac aaaaa aaaaac caaaaa aaaaac caaaaa aaaaac caaaaa aaaaac caaaaa aaaaac caaaaa aaaaac ebc caaaaa bbbd aaaaac bbbb caaaaa fbbb aaaaac dbbbe caaaaa cbbbd aaaaac bbbf caaaaa bbbb aaaad bbbb caaac abbbe caaac cbbbc daaae ebbbd aaaa bbbf aaaa bbbb aaaa fbbb eaaad dbbbe caaac cbbbd daaae bbbf daaa eeeeeeeeeeeeeeeeeeeeeeebbbb aaaaggggggggggggggggggggggbbbb aaaaggggggggggggggggggggfbbbe aaaaggggggggggggggggggdbbbc eaaadgggggggggggggggggbbbd caaaggggggggggggggggbbbbe eaaaaggggggggggggggbbbbge egaaaaggggggggggggfbbbgge eggaaaaggggggggggabbbggge egggaaaaggggggggdbbbdggge eggggaaadgggggggbbbfgggge eggggdaaadgggggbbbbggggge d egggggdaaaggggbbbbgggggge abba eggggggaaaaggfbbbggggggge bbbbba egggggggaaaadbbbdggggggge fbbbbbf eggggggggaaaabbfgggggggge fbbbbbf egggggggggaaafbggggggggge fbbbbbf egggggggggbaaadggggggggge fbbbbbfe eggggggggfbfaaaggggggggge abbbbbbe egggggggabbbaaaagggggggge dbbbbbbe eggggggdbbbdgaaaaggggggge dbbbbbbe eggggggbbbfgggaaaagggggge dbbbbbbc egggggbbbbgggggaaaaggggge dbbbbbbc eggggbbbbgggggggaaadgggge gbbbbbbc egggfbbbggggggggdaaadggge cbbbbbbg eggdbbbdgggggggggdaaaggge cbbbbbbd eggbbbfgggggggggggaaaagge cbbbbbbd egbbbbgggggggggggggaaaage ebbbbbbd ebbbbgggggggggggggggaaaae ebbbbbbd fbbbgggggggggggggggggaaad ebbbbbba dbbbgggggggggggggggggggaaac efbbbbbbbbdgggggggggggggggggggdaaae fbbbbbfgggggggggggggggggggggaaaa fbbbgggggggggggggggggggggggaaaa c eeeeeeeeeeeeeeeeeeeeeee aaaa aaad eaaac caaac daaae aaaa aaaa aaaa eaaad caaac daaae daaa aaaa aaaa aaad eaaac cad c ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#a77760ff b,#6e6003ff c,#dacdbdff d,#c4b197ff e,#eee8e1ff f,#8a7b33ff g,#b39379ff ``` ```image d c ac eb aae fb aaae abb aaag dbbb aaaag cbbbb aaaaad ebbbbb aaaaaac efbbbbb aaaaaaac fbbbbbb caaaaaaae gbbbbbbf daaaaaage dbbbbbbbe gaaaaaag cbbbbbbbc gaaaaaad ebbbbbbbd eaaaaaaad fbbbbbba eaaaaaaac abbbbbbf caaaaaaae dbbbbbbbe daaaaaaae cbbbbbbbc daaaaaag ebbbbbbbd gaaaaaag efbbbbbbg egaaaaaad fbbbbbbf eaaaaaaac gbbbbbbfe caaaaaaac dbbbbbbbe caaaaaaae cbbbbbbbc daaaaaage ebbbbbbbd gaaaaaag fbbbbbba gaaaaaad abbbbbbf eaaaaaaad dbbbbbbbe eaaaaaaaccbbbbbbbc caaaaaaafbbbbbbd daaaaaaabbbbbg daaaaaaabbbf gaaaaaafbfe eaaaaaaafe cbaaaaaaac ebbfaaaaaaac fbbbfaaaaaaae abbbbbfaaaaaage dbbbbbbbgaaaaaag cbbbbbbbc gaaaaaad ebbbbbbbd eaaaaaaac efbbbbbbg eaaaaaaac fbbbbbbf caaaaaaae gbbbbbbfe daaaaaaae dbbbbbbbe daaaaaag cbbbbbbbc gaaaaaad ebbbbbbbd eaaaaaaad fbbbbbba eaaaaaaac abbbbbbf caaaaaaae dbbbbbbbe caaaaaaae cbbbbbbbc daaaaaag ebbbbbbbd gaaaaaag efbbbbbbg egaaaaaad fbbbbbbf eaaaaaaac gbbbbbbfe caaaaaaac dbbbbbbbe caaaaaaae cbbbbbbbc daaaaaaa ebbbbbbbd gaaaaaa fbbbbbba gaaaaa bbbbbbf eaaaaa bbbbbbe eaaaa bbbbbc caaa bbbbd daa bbbg da bbf g bfe e ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 The final count is: one intersection.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#a77660ff b,#6e6002ff c,#daccbeff d,#c3b295ff e,#eae2daff f,#897c32ff g,#af9171ff ``` ```image a gaac aaaaa gaaaac eaaaaa gaaaac eaaaaa gaaaac eaaaaa gaaaac eaaaaa gaaaac eaaaaa gaaaac be eaaaaa bbbd gaaaac bbbb eaaaaa fbbb gaaaac dbbbe eaaaaa ebbbd gaaaac bbbf eaaaaa bbbb gaaag bbbb eaaac gbbb caaae cbbbc daaa bbbg gaaa bbbf aaaa bbbb aaag fbbb aaad dbbbe eaaac ebbbd daaae bbbf gaaa bbbb aaaa bbbb aaaa gbbb aaag cbbbc eaaac bbbg caaae bbbf daaa bbbb aaaa fbbb aaaa dbbbe aaag ebbbd aaad bbbf caaac bbbb g daaa bbbb abbg gaaa gbbb bbbbba aaaacbbbc fbbbbbf aaaabbg fbbbbbf aaaff fbbbbbf baaac fbbbbbf fbfaaae gbbbbbb dbbbgaaa gbbbbbbe ebbbd aaaa gbbbbbbe bbbf aaaa dbbbbbbe bbbb aaag dbbbbbbc bbbb eaaad dbbbbbbc abbb caaae cbbbbbbd cbbbc daaa cbbbbbbd ebbbg gaaa ebbbbbbd bbbf aaaa ebbbbbbg bbbb aaag ebbbbbbg fbbb aaad bbbbbbg dbbbe eaaac fbbbbbbbbd daaae fbbbbbf gaaa fbbb aaaa c aaaa aaag eaaad caaae daaa gaaa aaaa aaag aaad eaaac daaae gaaa aaaa aaaa aaag eaaac cag c ``` <!-- 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,#c7df88ff b,#91ea93ff c,#d6efbeff d,#bbd761ff e,#b1d9b1ff f,#eef8eaff g,#a3d1a1ff ``` ```image f dddc fdddddc dddddddda ddd dddddddc adda adddddddaf ddd adddddddddaf cdda cddddddddddc ddd faddddddddddc fddd cadddddddddaf dddf cddddddddddaf ddd faddddddddddc addc fadddddddddac ddd cddddddddddaf cdda cddddddddddc ddd faddddddddddc fddd fadddddddddaf dddf cddddddddd ddd cddddd addc fad ddd adda ddd cddd dddf fddd dddc ddd addc ddd cdda ddd fddd dddf ddd addc ddd cdda ddd fddd ggggggggggdddggggg eeeeeeeeeedddeeeegf eeeeeeeeedddaeeeegf eeeeeeeeedddeeeeegf eeeeeeeeaddaeeeeegf eeeeeeeedddeeeeeegf eeeeeeegdddeeeeeegf eeeeeeedddeeeeeeegf eeeeeeedddeeeeeeegf eeebeedddgeeeeeeegf eebbbgdddeeeeeeeegf eebbbdddaeeeeeeeegf eeebbdddeeeeeeeeegf eeeeadddbgeeeeeeegf eeeedddbbbbeeeeeegf eeegdddbbbbbeeeeegf eeedddgeebbbbgeeegf eeedddeeeebbbbbeegf eedddaeeeeebbbbbegf eedddeeeeeeeebbbbbf eeeadeeeeeeeeebbbbb eeeeeeeeeeeeeeebbbbbf eeeeeeeeeeeeeeeeebbbbe eeeeeeeeeeeeeeeeegbbbbb eeeeeeeeeeeeeeeeegfcbbbbf fc ggggggggggggggggggf fbbbbe ebbb ffffffffffffffffff bbbbb cbbbbbb cbbbbf fbbbbbbbbf bbbbb febbbbbbbc bbbbb cbbbbbbbe cbbbbc cbbbbbbbbf bbbbb fbbbbbbbbf ebbbb ebbbbbbbc fbbbbc cbbbbbbbe bbbbb fbbbbbbbbf ebbbbf fbbbbbbbbc fbbbbc ebbbbbbbc bbbbb cbbbbbbbef ebbbbffbbbbbbbbf fbbbbbbbbbbc bbbbbbe cbbf ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c2dd7aff b,#92ea93ff c,#dbf3ccff d,#bad761ff e,#b3f1b5ff f,#eff9e7ff g,#d5e6a1ff ``` ```image fddddddf gdddddg ddddddc cddddda adddddc cdddddd adddddg fddddddf gdddddg fddddddf gddddda adddddc cddddda adddddg fddddddf gdddddg fddddddf f gddddda cbe ddddddc fbbbbf cddddda bbbbbbcadddddc ebbbbbbbdddddd ebbbbbbddddddg cbbbbbddddddf febbaddddda ebddddddbbf gddddddbbbc adddddbbbbbef cddddddbbbbbbbf adddddabbbbbbbbc fddddddfebbbbbbbbef gdddddg cbbbbbbbbbc fddddddf fbbbbbbbbbe gddddda ebbbbbbbbef adddddc cbbbbbbbbbc cddddda fbbbbbbbbbe adddddg ebbbbbbbbef fddddddf cbbbbbbbbbc gdddddg fbbbbbbbbbe fgddddf ebbbbbbbb fgaa cbbbbbbb f febbbbb ebbbb cbbb feb e ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Answer: A: 1; 1 = 1 I have found one intersection!
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<!-- image --> ```palette Key,Color ,#fefefeff a,#c8de81ff b,#91eb93ff c,#d8f2c9ff d,#bbd761ff e,#b2f0b3ff f,#edf8e5ff g,#d7e7a5ff ``` ```image dddg fdddddg ddddddddg ddd addddddc addg adddddddaf ddd adddddddddgf cdda gddddddddddg ddd faddddddddddc fddd cadddddddddaf dddf gddddddddddg ddd gddddddddddg addg fadddddddddac ddd cddddddddddaf gdda gddddddddddg ddd fgddddddddddc fddd fadddddddddac dddf cddddddddd ddd gddddd addc fad ddd gddg ddd cddd dddf fddd dddc ddd addg ddd cdda ddd fddd dddf ddd addg ddd gdda ddd fddd dddf ddd addc ddd gddg ddd cddd ddd fddd b dddc bbbcddd bbbdddg ebddd gdddbc dddbbbb fdddebbbbf dddf fbbbbe ddd bbbbb addg ebbbbf ddd fbbbbe ga bbbbb ebbbbf fbbbbe bbbbb cbbbbf fc bbbbe ebbb bbbbb cbbbbbb cbbbbc fbbbbbbbbf bbbbe ebbbbbbbc ebbbb ebbbbbbbe cbbbbc cbbbbbbbbf bbbbb fbbbbbbbbc ebbbb ebbbbbbbc fbbbbc cbbbbbbbe bbbbb cbbbbbbbbf ebbbbf fbbbbbbbbc fbbbbe ebbbbbbbe bbbbb cbbbbbbbe ebbbbffbbbbbbbbf fbbbbbbbbbbc bbbbbbe ebbf ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#efc410ff b,#396666ff c,#b1d7b1ff d,#95c698ff e,#f6df7eff f,#6e948bff g,#f1f4e6ff ``` ```image gaa eae aag eg aa aaa aa aaaa eaa aaaaa aae fc aaa aa aa gbb aaa aag aa bbg aaa eae gaa cbb aaa eae eae bbg aaa gaa aag cbb aaa aa aa bbg aaa aa aa cbb aaa aa eae bb aaa aa aag dbb aaa aag aa bb aaa eae aa fbf aaa gaa gaa bb aaa aa eae fbf aaa aa aa bb aaa aa aa fbf aaa aa aa bb aaa aag eae bbd aaa eae aag bb aaa eae aa bbd aaa gaa aa cdbbdddddddddddddddddddd aaa aa gaa dcbbfcccccccccccccccccccg aaa aa eae dcdbbcccccccccccccccccccg aaa aa aa dccbbdccccccccccccccccccg aaa aa aa dccdbbccccccccccccccccccg aaa aag gaa dcccbbdcccccccccccccccccgaaa eae eae dcccdbbcccccccccccccccccaaa eae aag dccccbbdcccccccccccccccaaa gaa aa dccccdbbccccccccccccccaaa aa aa dcccccbbcccccccccccccaaag aa eaa dcccccfbbcccccccccccaaacg aa aae dccccccbbccccccccccaaaccg aa aa dccccccfbbccccccccaaacccg aag aa dcccccccbbcccccccaaaccccg eae gaa dcccccccfbbcccccaaacccccg eae eae dccccccccbbccccaaaccccccg gaa aag gg dccccccccfbfccaaacccccccg aa aa gaa dcccccccccbbcaaaccccccccg aa aa aa dcccccccccbbaaacccccccccg aaeae aag dccccccccccaaaccccccccccg aaaag eae dcccccccccaaafccccccccccg aaaa aa dccccccccaaabbccccccccccg eaaa aa dcccccccaaacbbfcccccccccg gaaa eae dccccccaaacccbbcccccccccg aae gaa dcccccaaaccccbbfccccccccg ggggaagggggggg aa dccccaaacccccdbbccccccccg dccccaaccccccccd aag dcccaaacccccccbbdcccccccg dccccccccccccccd eaa dccaaaccccccccdbbcccccccg dccccccccccccccd aa dcaaaccccccccccbbdccccccg dccccccccccccccd aa daaacccccccccccdbbccccccg dccccccccccccccd eae aaacccccccccccccbbdcccccg dccccccccccccccd aaaaaccccccccccccccdbbcccccg dccccccccccccccd aaaaccccccccccccccccbbcccccg dccccccccccccccd aaadccccccccccccccccfbbccccg dccccccccccccccdfbc g dcccccccccccccccccbbccccg dccccccccccccdbbbbb dcccccccccccccccccfbbcccg dccccccccccfbbbbf dccccccccccccccccccbbcccg dccccccccbbbbbdd dccccccccccccccccccfbbccg dcccccfbbbbbcccd dcccccccccccccccccccbbccg dcccbbbbbfcccccd dcccccccccccccccccccfbbdg ddbbbbbdcccccccd ggggggggggggggggggggbbg fbbbbfccccccccccd fbf gbbbbbdccccccccccccd bb dbbbbfdccccccccccccccd bbd gbbbbbc dccccccccccccccd bb cbbbbf dccccccccccccccd bbd fbbbbc dccccccccccccccd gbb cbbbbbg dccccccccccccccd bbc fbbbbd dccccccccccccccd gbb gbbbbbg dccccccccccccccd bbc dbbbbf dccccccccccccccd gbb gbbbbbc dccccccccccccccd bbbbbbf cddddddddddddddc cbbbc cg ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#efc410ff b,#386665ff c,#93acacff d,#c0ceceff e,#f4d966ff f,#648786ff g,#f1f0deff ``` ```image cbbbb bbbbc cbbbb gbbbbd cbbbf gbbbbd cbbbf gbbbbd fbbbf gbbbbd fbbbf dbbbbd fbbbf dbbbbg fbbbc dbbbbg e fbbbc ea dbbbbg eaa fbbbc eaaa dbbbbg eaaaa bbbbc eaaaaa cbbbb eaaaaag bbbbc eaaaaag cbbbb eaaaaag bbbbc eaaaaag cbbbb eaaaaag gbbbbd eaaaaag cbbbf eaaaaag gbbbbd eaaaaag cbbbf eaaaaag gbbbbd eaaaaag fbbbf eaaaaag gbbbbd eaaaaag fbbbf eaaaaag dbbbbd eaaaaag fbbbf eaaaaag dbbbbeaaaaag fbbaaaaaag dbaaaaaag aaaaaag eaaaaag eaaaaabc eaaaaabbbg eaaaaafbbbc eaaaaagcbbbb eaaaaag bbbbc eaaaaag cbbbb eaaaaag bbbbc eaaaaag cbbbb eaaaaag gbbbbd eaaaaag cbbbf eaaaaag gbbbbd eaaaaag cbbbf eaaaaag gbbbbd eaaaaag fbbbf eaaaaag gbbbbd eaaaaag fbbbf eaaaaag dbbbbd eaaaaag fbbbf eaaaaag dbbbbg eaaaaag fbbbf aaaaa dbbbbg aaaa fbbbc aae dbbbbg ae fbbbc e dbbbbg bbbbc cbbbb bbbbc cbbbb bbbbc cbbbb gbbbbd cbbbf gbbbbd cbbbf gbbbbd fbbbf gbbbbd ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. I'm ready to analyze the next area. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0c512ff b,#386565ff c,#b2c4c4ff d,#86a1a1ff e,#f6de7bff f,#5d8282ff g,#e6eae3ff ``` ```image eaaaa eaaae gaaag geg c gdbb cfbbbb gdbbbbbbb cdbbbbbbbbb gcfbbbbbbbbfc gdbbbbbbbbbdg cfbbbbbbbbfc gdbbbbbbbbbdg cfbbbbbbbbfcg gdbbbbbbbbbdc cfbbbbbbbbbdg gcfbbbbbbbbfc bbbbbbbbbdg bbbbbbfc bbbbdg bfcg c ``` <!-- end of image --> My analysis shows that the lines in area B do not cross. Answer: A: 1; B: 0; 1 + 0 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f2ce3aff b,#386666ff c,#a8bcbcff d,#efc40dff e,#f7e28aff f,#6c8d8dff g,#ececd9ff ``` ```image dd ede ddg eg dd add dd addd eda adddd ade fc add dd dd gbb add adg dd bbg add ede gdd cbb add eda ede bbg add dd dd cbb ddd dd dd bb ddd dd dd cbb ddd dd eda bb ddd dd adg cbb ddd adg dd bb ddd ede dd fbf ddd gda gdd bb ddd dd ade fbf ddd dd dd bb ddd dd dd fbf ddd dd dd bb ddd dd eda bbc ddd ade ddg bb ddd ede dd bbc ddd gda dd bb ddd dd gda bbc ddd dd ade gbb ddd dd dd bbc ddd dd dd gbb ddd ddg dd bbg ddd ade ede cbb ddd ede ddg bbg ddd gda dd cbb ddd dd dd bbg ddd dd eda cbb ddd dd ade bb ddd dd dd cbb ddd adg dd bb ddd ede gdd fbf ddd eda ede bb ddd gdd dd gg fbf ddd dd dd gdd bb ddd dd dd dd fbddd ddeda ddg ddd ddadg eda dddc addd dd ddabb eddd dd dda bbc gddd ade dda bb dde gdd dda bbc dd dd dda gbb dd ddg dda bbc gg eda dda gbb dd dda bbg dd dda gbb ede dda bbg dddda cbb ddda bbg ada cbb fbc g bb gbbbbb cbb cbbbbf bb gbbbbbc fbf cbbbbf bb fbbbbc fbf cbbbbbg bb fbbbbc fbf gbbbbbg bb cbbbbf bbc gbbbbbc bb cbbbbf bbc fbbbbc bb cbbbbbg bbc fbbbbc gbb gbbbbbg bbc cbbbbf gbb gbbbbbc bbbbbbf gbbbc cg ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#86905cff b,#13f53bff c,#4c5206ff d,#9bc291ff e,#e8f6e8ff f,#b1d8b1ff g,#59f274ff ``` ```image cc accc ccccc ccaccc dcc dccc ccc dccc ccf dccc fcc dccc ccc dccc e ccd dccc fbbbgf ecc dccc gbbbbbbbbgf acc accc egbbbbbbbbbbge cca accc fgbbbbbbbbbbf ecc accc fbbbbbbbbf acc accc egbbbbg cca accc bbbb cce accc gbbbf acc accc ebbbg ccc accc bbbb ccf accc gbbbe dcc dccc fbbbg eeeeeeeeeeeeeeccceeeeee fccc bbbb edfffffffffffffccaffffffd fccc gbbbefffffffffffffdccfffffffd eccce fbbbgffffffffffffcccfffffffd eccce ebbbbfffffffffffccafffffffd eccc bbbbfffffffffdccffffffffd cf egbbbgfffffffcccffffffffd effbbbbffffffccaffffffffd efffbbbbfffffccfffffffffd effffgbbbdffaccfffffffffd efffffdbbbgfccafffffffffd efffffffbbbbccdfffffffffd effffffffbbcccffffffffffd efffffffffdcccgfffffffffd effffffffffccbbbffffffffd efffffffffaccbbbbfffffffd efffffffffcccfgbbbgfffffd efffffffffccafffbbbbffffd effffffffdccfffffbbbbfffd effffffffcccffffffgbbbgfd effffffffccaffffffffbbbbd fcaafe efffffffdccffffffffffbbbb dcccccccccccccadfe efffffffcccfffffffffffgbbbe dccccccccccccccccccccccccaadfe efffffffccaffffffffffffdbbbg efdaaccccccccccccccccccccccccaaadccffffffffffffffdbbbb efdacccccccccccccccccccffffffffffffffd gbbbe efdacccccccaddddddddddddddf fbbb ebbf bbb bbg gbb bbb fbbe bbb ebbf bbb bbg gbb bbg gbb bbb fbbe bbb ebbf bbb bbg gbb bbb fbbe bbb ebbf bbb bbg gbb bbb fbbe bbb ebbf bbb be ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#80844eff b,#12f53bff c,#4b5105ff d,#b0b392ff e,#d0ebceff f,#8cf99fff g,#4af769ff ``` ```image ccccc dcccca accccd ccccc ecccca e accccd bf ccccc bbg ecccca bbbbe dccccd bbbbbf ccccce bbbbbbg ecccca gbbbbbbge dccccd fbbbbbbbf acccce ebbbbbbbf eccccc egbbbbbbge dcccca fbbbbbbbe acccce fbbbbbbbf ccccc egbbbbbbg dcccca gbbbbbbbe accccd fbbbbbbbf ccccc ebbbbbbbg ecccca gbbbbbbbeaccccd fbbbbbbbccccce ebbbbbbcccca gbbbcccccd fbbcccccf ebcccccbf dcccccbbge accccbbbbbe cccccbbbbbbf dccccagbbbbbbg acccce gbbbbbbbe ccccc fbbbbbbbf dcccca ebbbbbbbg accccd gbbbbbbge ccccc fbbbbbbbf ecccca ebbbbbbbg accccd gbbbbbbge ccccce fbbbbbbbf ecccca ebbbbbbbf dccccd egbbbbbbg acccce fbbbbbb eccccc fbbbbb dccccd egbbb acccce gbb ccccc fb dcccca e eee acccce ccccccaaadddeeccccc cccccccccccccccccca ccccccccccccccccccd ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#878a57ff b,#12f53bff c,#4c5105ff d,#adaf8dff e,#d2ecd0ff f,#97faa8ff g,#53f870ff ``` ```image cc dccc ccccc ccaccc dcc dccc ccc dccc ccd dccc ecc dccc ccc dccc ccd dccc fbbbgf ecc dccc gbbbbbbbbge acc dccc egbbbbbbbbbbge cca dccc fgbbbbbbbbbbf cc accc fbbbbbbbbf acc accc efbbbbg cca accc bbbb cc accc gbbbe dcc accc ebbbg ccc accc bbbb cce accc gbbbe dcc dccc ebbbg ccc dccc bbbb ccd eccc gbbb ecc eccc fbbbf ccc eccce bbbb ccd ccc bbbb ecc ce fbbbf acc ebbbg cca bbbb cc gbbbe acc ebbbg cca bbbbcce gbccc ecccg ccbbb dccgbbb ccc fbbbf ccd bbbb ecc bbbb ccc fbbbf ccd ebbbg dcadde ecc bbbb dccccccccccccaadee acc gbbbe dccccccccccccccccccccccccaade cca ebbbg eedaaccccccccccccccccccccccccaddecc bbbb eddaccccccccccccccccccc gbbb edaacccccca fbbb ebbf bbb bbg gbb bbb fbb bbb ebbe bbb bbf gbb bbg fbb bbb ebbe bbb bbf bbb bbg gbb bbb fbbe bbb ebbf bbb bbg gbb bbb fbb bbb ebbe bbb be ``` <!-- 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,#f77757ff b,#408090ff c,#fadad2ff d,#93c3a1ff e,#e7a387ff f,#b1d7b2ff g,#6599a3ff ``` ```image c caac caacac caac ee caac ee caac ca caac ca caac a caac a caac a caac a caac a caac ac caac ac caac ee caac ee caac ca caac ca caac a caac a caac a caac dfffffffffaffffff caac dfffffffffaffffff caac dfffffffffaffffff caac dfffffffffaffffff caac dfffffffffaefffff caac dfffffffffeefffff caac dfffffffffeafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffafffff caac dffffffffffaeffff caac dffffffffffeeffff aac dffffffffffeeffff c dffffffffffgbffff dfffffffffbbaffff dfffffffdbgfaffff dffffffbbfffaffff dfffffbbffffaffff dfffgbdfffffaffff dffbbffffffffffff ddbgfffffffffffff bbfffffffffffffff bbffffffffffffffff gbcdffffffffffffffff bb dffffffffffffffff fbd dffffffffffffffff bb dffffffffffffffff cbg dffffffffffffffff gbc dffffffffffffffff bb dffffffffffffffff fbf dffffffffffffffff bb dffffffffffffffff cbg dffffffffffffffff gbc bb gbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg bbf ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#f57959ff b,#448292ff c,#efe6e4ff d,#7ea8b3ff e,#f89e87ff f,#b3ccd3ff g,#fbc0b1ff ``` ```image eag eae gae gae gaa caa caac aac aac aag eag eag eae gae gae gaa caa caa caac aac aag eag eag eae gae gae gaa caa caa caac aac aag aag eag eae eae gae gabd dbbbc cbbbbc fbbbaac cdbbbcaac fbbbd aag dbbbf aag cbbbdc eag fbbbf eae cdbbbc eae fbbbd gae dbbbf gaa cbbbdc cgg fbbbf cdbbbc fbbbd dbbbf cbbbdc bbbf bdc d ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f87857ff b,#3f7f90ff c,#fcdad1ff d,#8fb3bdff e,#f8aa96ff f,#c2d6dbff g,#6095a3ff ``` ```image c caac caacac caac ee caac ee caac ca caac ca caac a caac a caac a caac a caac a caac ac caac ac caac ee caac ee caac ca caac ca caac a caac a caac a caac a caac a caac a caac ac caac ae caac ee caac ea caac ca caac a caac a caac a caac a caac a caac a caac ac caac ac caac ee aac ee c db bba fbd a gb a bg a dbf a bb fbd gb bg dbf bb fbd gb fbg gbf bb fbd bb fbg gbf bb gbd dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg gbbf dbbd fbbg bbf ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#74be8dff b,#c840b6ff c,#f0eef0ff d,#e29bd9ff e,#9ecfa4ff f,#b1d7b2ff g,#cae6d3ff ``` ```image cbb bbbb bbbbbb bbbcdbbb bbbd bbbb bbbd bbbb cc bbbd bbbb faa bbbd bbbd faa bbbb bbbd faa bbbb bbbd faa bbbb bbbc faa dbbb bbbc faa dbbb cbbbc faa dbbb cbbb gaa dbbb cbbb gaa cbbb dbbb gaa cbbb dbbb gaa bbbbc dbb gaa bbbbbc d gaa bbbbbd gaa cbbbbbd gaa cbbbbbd gaa cbbbbbd gaa cbbbbbd gaa cbbbbbd ccgaaccccccccccc cbbbbbd eeeaaeeeeeeeeeeec cbbbbbd ffeaaffffffffffec dbbbbbd ffeaaffffffffffec dbbbbbd ffeaaffffffffffec dbbbbbd fffaaffffffffffec dbbbbbc fffaaffffffffffec dbbbbbc fffaaffffffffffec dbbbbbc fffaaffffffffffecdbbbbbc fffaaffffffffffbbbbbbc fffaaffffffffbbbbbbc fffaaffffffbbbbbbc fffaaffffbbbbbbec fffaaffbbbbbbffec fffaabbbbbbffffec fffaabbbbffffffec ffbaabbffffffffec fffaaefffffffffec fffaaefffffffffec fffaaefffffffffec fffaaefffffffffec fffaaefffffffffec fffaaefffffffffec gaf fffaaefffffffffec eaaaa fffaaefffffffffec gaaaaaag fffaaefffffffffec ceaaaaae fffaaefffffffffec gaaaaaag fffaaefffffffffec caaaaaae fffaaefffffffffec gaaaaaag fffaaefffffffffec caaaaaae fffaaefffffffffec faaaaaag fffaaefffffffffec caaaaaae eeeaaaeeeeeeeeee faaaaaag aaf caaaaaae aaf faaaaaag aaf caaaaaae aaf faaaaaag aaf caaaaaaf aaf faaaaaac aaf caaaaaaf aaf faaaaaac aae gaaaaaaf aae eaaaaaac aae gaaaaaaf aae eaaaaaac aae gaaaaaaf aae eaaaaaac aae gaaaaaaf aae eaaaaaac aae gaaaaaag aaa eaaaaaac aaa gaaaaaag aaaeaaaaaec aaaaaaag aaaae cag ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#74bd8dff b,#c73eb6ff c,#e7eeeaff d,#eab9e4ff e,#97cea9ff f,#d26ac5ff g,#cbe6d4ff ``` ```image caaaae caaaae caaaae caaaae caaaae caaaae caaaae caaaae caaaae caaaaa caaaaa caaaaa caaaaa caaaaa caaaaa aaaaa aaaaa aaaaa aaaaa c aaaaa cfb aaaaa cfbbb aaaaa cfbbbbb aaaaa cfbbbbbbb aaaaa dfbbbbbbbbb aaaaa dfbbbbbbbbbbd aaaaa dfbbbbbbbbbbd aaaaa dfbbbbbbbbbbd aaaaa dfbbbbbbbbbbd aaaaafbbbbbbbbbfd aaaaabbbbbbbbfd aaaaabbbbbbfd cfaaaaabbbbfd baaaaabbfd daaaaafd aaaaac aaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaac eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaag ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#74be8dff b,#c83fb6ff c,#e9ececff d,#e8b2e1ff e,#9cd0aeff f,#d87accff g,#c2e2cdff ``` ```image cbb bbbb bbbbbb bbbdfbbb bbbd fbbb bbbd bbbb cc bbbf bbbf eaa bbbf bbbf eaa bbbf bbbd eaa bbbb bbbd eaa fbbb bbbd gaa fbbb bbbc gaa fbbb bbbc gaa dbbb cbbb gaa dbbb cbbb gaa dbbb dbbb gaa cbbb dbbb gaa bbbb fbb gaa bbbbbc f gaa bbbbbf gaa bbbbbf gaa cbbbbbf gaa cbbbbbf caa cbbbbbf caa cbbbbbd caa cbbbbbd caa dbbbbbd caa dbbbbbd caa dbbbbbd caa dbbbbbd caa dbbbbbd caa dbbbbbc caa dbbbbbc aa fbbbbbc aa fbbbbbc aa fbbbbbc aa fbbbbb aa fbbbbb aa fbbbbb aafbbbbb aabbbb baabf aac aac aac aac aac aac gae aac eaaaa aag gaaaaaag aag eaaaaae aag gaaaaaag aag caaaaaae aag gaaaaaag aag caaaaaae aag gaaaaaag aag caaaaaae aag gaaaaaag aag caaaaaae aag gaaaaaac aag caaaaaae aag eaaaaaac aae caaaaaae aae eaaaaaac aae caaaaaae aae eaaaaaac aae caaaaaae aae eaaaaaac aae caaaaaag aae eaaaaaac aae gaaaaaag aae eaaaaaac aae gaaaaaag aae eaaaaaac aae gaaaaaag aaa eaaaaaac aaa gaaaaaag aaaeaaaaae aaaaaaag aaaae cag ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#269b59ff b,#fc281cff c,#93c997ff d,#e7a191ff e,#b1d7b1ff f,#5cb37eff g,#ea604fff ``` ```image ceeeeeeeeeeeeeeeeeeeeeeeeec ceeeeeeeeeeeeeeeeeeeeeeeeec ceeeeeeeeeeeeeeeeeeeeeeeeec ceeeeeeeeeeeeeeeeaeeeeeeeec ceeeeeeeeeeeeeeeaaeeeeeeeec ceeeeeeeeeeeeeeaaaceeeeeeec ceeeeeeeeeeeebgafafeeeeeeec ceeeeeeeeeegbbaaeaaeeeeeeec ceeeeeeeegbbgaabeaaeeeeeeec ceeeeeedbbbefagbeaaeeeeeeec ceeeeebbbdeeaagbefaeeeeeeec ceeebbbdeeeaaedbecaeeeeeeec cegbbgeeeefaceebdeaceeeeeec gbbbeeeeecaaeeebgeafeeeeeec dbbbeeeeeeeaaeeeebbeaaeeeeeec bbb bbbceeeeeeeaaeeeeebbeaaeeeeeec bbgbbbd bbbd ceeeeeefafeeeeegbefaeeeeeec dbg dbbbd gbbg ceeeeeeaaeeeeeedbecaeeeeeec bb dbbbg dbbb ceeeeeaaeeeeeeeebdeaceeeeec bb bbbb dbbb ceeeefaceeeeeeeebgeafeeeeec dbd gbbbd bbbd ceeeeaaeeeeeeeeebbeaaeeeeec bb dbbbg bbbd ceeecaceeeeeeeeebbeaaeeeeec bb bbbg gbbg ceeeaaeeeeeeeeeegbeaaeeeeec dbd bbbbbb ceeeaaeeeeeeeeeegbefaeeeeec bb gb ceecaceeeeeeeeeeebecaeeeeec bb ceeaaeeeeeeeeeeeebgeafeeeec dbd ceeafeeeeeeeeeeeebgeafeeeec bb cefaeeeeeeeeeeeeebbeaaeeeec bb ceaaeeeeeeeeeeeeebbeaaeeeec gbd ceafeeeeeeeeeeeeegbefaeeeec bb cfaeeeeeeeeeeeeeedbecaeeeec bb caaeeeeeeeeeeeeeeebdeaceeec gbd cafeeeeeeeeeeeeeeebgeafeeec bb aaeeeeeeeeeeeeeeeebbeaaeeec bb aaeeeeeeeeeeeeeeeebbeaaeeec gbd aceeeeeeeeeeeeeeeegbeaaeeec bg aaeeeeeeeeeeeeeeeeedbefaeeec bb aaeeeeeeeeeeeeeeeeeebdcaeeec gb eaceeeeeeeeeeeeeeeeeebgeafeec bg aaceeeeeeeeeeeeeeeeeebbeafeec afceeeeeeeeeeeeeeeeeebbeaaeec ca ceeeeeeeeeeeeeeeeeegbeaaeec aa ceeeeeeeeeeeeeeeeeedbefaeec ac ceeeeeeeeeeeeeeeeeeebdcaeec fa ceeeeeeeeeeeeeeeeeeebgeacec aa ceeeeeeeeeeeeeeeeeeebbeafec ae ceeeeeeeeeeeeeeeeeeebbeaaec fa ceeeeeeeeeeeeeeeeeeegbeaaec aa ceeeeeeeeeeeeeeeeeeegbeaaec eae ceeeeeeeeeeeeeeeeeeeebefaec aa ceeeeeeeeeeeeeeeeeeeebgcacc af ceeeeeeeeeeeeeeeeeeeebgeafc ea ceeeeeeeeeeeeeeeeeeeebbeafc aa ceeeeeeeeeeeeeeeeeeeebbeaac af ceeeeeeeeeeeeeeeeeeeegbeaac ca ceeeeeeeeeeeeeeeeeeeedbefac aa ceeeeeeeeeeeeeeeeeeeeebdcac ac ceeeeeeeeeeeeeeeeeeeeebgeaf fa ceeeeeeeeeeeeeeeeeeeeebbeaf aa ceeeeeeeeeeeeeeeeeeeeebbeaa ae ceeeeeeeeeeeeeeeeeeeeegbeaa fa ceeeeeeeeeeeeeeeeeeeeedbeaa aa ceeeeeeeeeeeeeeeeeeeeeebdfa eae ceeeeeeeeeeeeeeeeeeeeeebgca aa ceeeeeeeeeeeeeeeeeeeeeebbeae af ceeeeeeeeeeeeeeeeeeeeeebbec ea ceeeeeeeeeeeeeeeeeeeeeegbec aa ceeeeeeeeeeeeeeeeeeeeeedbec ac ceeeeeeeeeeeeeeeeeeeeeeebdc ca ceeeeeeeeeeeeeeeeeeeeeeebgc aa ceeeeeeeeeeeeeeeeeeeeeeebbc ac ceeeeeeeeeeeeeeeeeeeeeeebbc fa gb aa db ae b aa bd aa bg ea bb aaaafce aa gb faaaaaaaaaaaaffee af db eeffaaaaaaaaaaaafcee ca b ecfaaaaaaaaaaaaafceaa bd ecfaaaaaaac ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#269a59ff b,#fc271cff c,#aad7beff d,#fda39eff e,#ebe3dcff f,#69b88bff g,#f8645aff ``` ```image faa aaa eaaa ebfaaaac dbbaaffaf dbbaaaefaf ebbbbgaaa caa egbbbbdaaab eaae dbbbbd aagbb aac gbbbbg eaagbb faf egbbbge aaagbb faf dbbbbd caaf dbb eaa bbbbb aaa ebbe aa egbbbge aaa bbd aa dbbbgd eaaf gbg aa bbbb aaae dbg aa bbd faac dbb aa e eaaa bbe aac faac bbd aac eaaa gbg faf faae dbb caa aaa ebb eaae aaae bbd aac faac bbd faf aaf bbg faf aa bbb caa eaa bbb eaae caa bbb aac eaac gbb aaf faa dbb aaf caae ebbe aaa faa bbd aaa aaa bbd aaa aaf dbg faa eaac dbb caa caa ebbecaa eaac bbd aac caa gbg aac aaf gbg faf faa ebb caa aaa ebb eaae aaf bb aac aac bb faf caae bb faf aac bbe caa aa bbd eaae af gbd aac a dbg aaf a dbb aaf a bbd aaa c gbd aaa e gbg aaa dbb faa ebbecaa bbdcaa bbg aac bbg fac bbb faf bbb caa bbb eaae gbb aac dbb faf dbb faf bbd caa gbd eaae gbg aac dbb aaf ebbe aaf bbd aaa gbg aaa dbg aaa ebbefaa bbdcaa bbdcaa bbg aac bbb fac bbb faf bbb caa gbb eaa gbb aa ebb fa ebbe fa gbd ca gbg ea dbb a ebbe a bbd a gbd a dbg a dbb a bbd bbd bbg bbb bbb bbb gbb gbb dbb ebbe ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#259a59ff b,#fc281cff c,#97ceafff d,#fda09bff e,#e5e2daff f,#59b07eff g,#fd6057ff ``` ```image f aa faae bbafac gbbaa af gbbgaab aa dbbb cafb fa ebbbe aagb ca bbbd aa db ea gbbg fae bd ac dbbg eaf bg af dbbb aa bb aa bbbe ebbbe aae bb aa bbgbbbd bbbd cac gb fa dbg dbbbd gbbg aa db ca bb dbbbg dbbb aa ebe ae bb bbbbe dbbb fac bd ac dbd gbbbd ebbbe aa bb af bb dbbbg bbbd eac bb aa bb ebbbg gbbg fa gb fa dbd bbbbbb aa db ca bb gbe eae ebeeae bb aa bd ac dbd af bg af bb ca bb aa bb aa bb aa gbd ac db fa bb ca eb ca bb aa bd ae gbd ac bg ac ebb fa bb aa bb aa bb aa gbe eae gb fa ebg aa db ca bb af bdeae gbe cae bg ac ebg aa bb af e af bb aa ca gb aa aa db fa ac beca fa bd ae aa bb ac eac bb aa fa gb aa aa db fa eae ebeca aa bdeae af bg ac cae bb af aa bb aa af db aa ca ebefa aa bdca ac bg ae fa bb ac aa bb aa eac gb aa fa db fa aa bdca eae bgeae aa bb ac af bb ca gb aa db af be ca bg aa bb ac bb fa gb aa db eac ebe aa bd aa bg cae bb aaaafce aa gb faaaaaaaaaaaaffce af db ecffaaaaaaaaaaaafcce ca ebe ecfaaaaaaaaaaaaafccaa bd eecfaaaaaaac e ``` <!-- end of image -->
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This image seems promising for intersection detection. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#cc7561ff b,#df130dff c,#eecac3ff d,#98c895ff e,#db988aff f,#b1d6b0ff g,#e23f39ff ``` ```image cac eaa aaaa caaaeeccc aaaae caaaaaaaaaaaaaaaaeecc aaeaac cceeaaaaaaaaaaaaaaaaaaaaaaaaeecc aaceaa ccceeaaaaaaaaaaaaaaaaaaaaaaaaeccc aac aaa cceeaaaaaaaaaaaaaaaacaac aae ccceaaaaeaac caac aaeaac eaa aaeaa aaa aaeaa aae eaeaa caac eaeaa eaa eaeaa aaa eaeaa aae eaeaa caac eaeaa aaa eaeaa aaa eaaaa aae eaaaa caac eaaaa aaa eaaaa aaa eaaaa aae eaaaa caac caaaa aaa caaaa fdaaadddddddddddddddd caaaa dffaaefffffffffdbgfff caaaa dffeaafffffffffbbbfff caaae dfffaaafffffffdbbffff caaae dffffaaaffffffbbbffff caaae dfffffaaefffffbbfffff caaae dfffffeaaffffbbbfffff caaae dffffffaaafffbbffffff caaac dfffffffaaafbbbffffff caaac dffffffffaaebbfffffff caaac dffffffffeabbbfffffff caaac dfffffffffabbffffffff caaac dfffffffffbbbafffffff caaa dfffffffffbbaaeffffff aaa dffffffffbbbeaaffffff aaa dffffffffbbdfaaafffff aaa dfffffffgbbfffaaaffff aaa dfffffffbbeffffaaefff caa dffffffgbbfffffeaafff aa dffffffbbeffffffaffff aa dfffffgbbffffffffffff dfffffbbeffffffffffff dffffgbbfffffffffffff dffffbbafffffffffffff gbb bbe abb bbe abb bbe abb bbe ebb bbe ebb bba ebb bba ebb bba ebb ge bbg ebbbbbge cbb cgbbbbbbbbbgc bbg egbbbbbbbbbgc cbb egbbbbbbbbbac bbg cebbbbbbbbbbac cbb cabbbbbbbbbbac bbg cabbbbbbbbbbec cbb cabbbbbbbbbbe bbg cgbbbbbbbbbge cbb cgbbbbbbbbbge bbg egbbbbbbbbbbb egbbbbbb eg ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#cc7460ff b,#e0130dff c,#efc3beff d,#f7e3e0ff e,#dc867aff f,#e6a49bff g,#e23f39ff ``` ```image daaaaac faaaaad d eaaaae ggf daaaaaf cbbbgc caaaaac abbbbf faaaaad dbbbbg eaaaae abbbbf daaaaaf dbbbbg caaaaac abbbbf faaaaad dbbbbb eaaaae abbbbf daaaaaf dbbbbb caaaaac ebbbbe faaaaad dbbbbb eaaaae ebbbbe daaaaaf dbbbbbd caaaaac ebbbbe faaaaad dbbbbbd eaaaae ebbbbe daaaaafbbbbbd caaaagbbbbe faaabbbbbd eagbbbbe dabbbbbd abbbbgd bbbbbaad fbbbbgaae bbbbbaaaac fbbbbgaaaaad gbbbbdfaaaaa fbbbba eaaaae gbbbbd daaaaac fbbbba caaaaad gbbbbc faaaae fbbbbg eaaaaf gbbbbc daaaaac fbbbbg caaaaad gbbbbc faaaaf cbbbbg eaac gbbbbc ded cbbbbg gbbbbc cbbbbg gbbbbc cbbbbg gbbbbc cbbbbg ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#cb7460ff b,#e0130dff c,#ebbfb8ff d,#f5dedaff e,#d98779ff f,#e2a196ff g,#e5403bff ``` ```image dac eaa eaaa daaaefccd aaaae caaaaaaaaaaaaaaaeffcd aaeaac dcffeaaaaaaaaaaaaaaaaaaaaaaaefcdd aaceaa dccfeaaaaaaaaaaaaaaaaaaaaaaaefccd aac aaa ddcfeaaaaaaaaaaaaaaaacaac aae dccfeaaafaad caac aafaad eaa eafaad aaa eafaa aae eafaa caad eafaa eaa eaeaa aaa eaeaa aae eaeaa caad faeaa eaa faeaa aaa faaaa aaf faaaa caad faaaa eaa faaaa aaa faaaa aaf faaaa caad caaaa aaa caaaa aaa caaaa daaf dbg caaae faad bbg caaae aaa dbb caaae aaa bbb caaaf daaf dbb caaaf faad bbb caaaf aaa dbb daaac aaa bbb daaac daafbbd daaac fabbb daaad abbd daaad bbba daaad bbaac aaa gbbfaa aaa bbd aaa aaa gbb aae eaa bbc daac caa gbb faa daa bbc e aa gbb bbc gbb bbc gbb bbf abb bbf abb bbf ebb bbe ebb bbe ebb bbe fbb bba fbb bba fbb gf bbg fbbbbbgf cbb cgbbbbbbbbbgc bbg fgbbbbbbbbbgc cbb degbbbbbbbbbac bbg debbbbbbbbbbac cbb debbbbbbbbbbed bbg dabbbbbbbbbbed dbb cabbbbbbbbbbed bbg cgbbbbbbbbbgf dbb cgbbbbbbbbbgf bbb fgbbbbbbbbbbb fgbbbbbb fg ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#5dd860ff b,#a088e8ff c,#1dd023ff d,#b1d7b1ff e,#92d693ff f,#6626f3ff g,#eaf2eeff ``` ```image g geacccccc geacccccadg c geacccccaeg c gdacccccaeg c gdacccccaeg c geaccccaed c gdacccccadg c ccaed c da c c c gc c cg c c c ag ggggggggggggggcggggg c gedddddddddddddcddddd ae gddddddddddddddcddddd c gddddddddddddddcddddd da gddddddddddddddcddddd c gdddddddfbdddddcddddd gc gddddddbfbdddddcddddd c gddddddfdfdddddcddddd gc gdddddfddfdddddcddddd cg gddddfbddfdddddcddddd c gddddfdddfdddddcddddd ad gdddfddddbbddddcddddd c gddfbdddddfddddcddddd ce gddfddddddfddddcddddd gcd gdfdddddddfddddaedddd ec gfbdddddddfddddaedddd cc bfddddddddbbdddaedddd ce fddddddddddbdddaedddd dcg fgddddddddddfdddaedddd ac bfgddddddddddfdddaedddd ce f gddddddddddfdddaedddd gcg fg gddddddddddfdddaedddd ac bb gddddddddddbbddaedddd g f gdddddddddddfddaadddd fg gdddddddddddfddaadddd bb gdddddddddddfddaadddd gf gdddddddddddfddeadddd f gdddddddddddbbdeadddd bb gdddddddddddbbdeadddd gf gddddddddddddfdeadddd f gddddddddddddfdeadddd fb gddddddddddddfdeadddd gf gddddddddddddfdeadddd f gddddddddddddbbeadddd fb gdddddddddddddfeadddd gf gdddddddddddddfdadddd f gdddddddddddddfdcdddd fg gdddddddddddddfdcdddd bf gdddddddddddddbbcdddd f gdddddddddddddbbcdddd fg gddddddddddddddfcdddd bf gddddddddddddddfcdddd f gddddddddddddddfcdddd fg gddddddddddddddfcdddd bbb bb gddddddddddddddbcdddd bffffbgbfffbg f gdddddddddddddddcdddd bffffbg gbffg gdddddddddddddddcdddd bffffbg gdddddddddddddddcdddd bffffbg gdddddddddddddddcdddd bffffbg gdddddddddddddddcdddd b bffffbg gdddddddddddddddcdddd bfffbg gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd gdddddddddddddddcdddd eeeeeeeeeeeeeeeceeee c c c c c c ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#50d956ff b,#966af7ff c,#1bce22ff d,#ceb9faff e,#8be78eff f,#6420f5ff g,#c5f2c7ff ``` ```image ca ca ca ca ca ca ca ca bf ca dffd ca fffd cc bfbfb cc ff ff cc fd ff cc df bfd cc ff dfb cc bfb fb cc dfb ff ac dffd bf ac bfd bfd ac bfb dfd ac dff dfb ac ffd ff ac bfb ff ac dff bfd ac ffd bfd ac bfb dfb ac dff fb acg ffd ff acg bfb bf acg dff bfd acg ffd dfd acg fb dfb acg f ff ecg d ff ecg bfd ecg bfd ecg dfb ecg fb ecg ff ecg bf ecg bfd ecg dfb ecg fb ece ff ece bfd ece bfd ece dfb ece dfb ece ff gce bf gce bfd gce dfd gce dfb gce fb gce ff gce bfd gce bfd gce dfb gce dfb gce ff gca bf gca bfd gca dfd gca dfb gca fb gca ff ca bfd ca bfd ca dfb ca ff ca bf ca bfdca dfdca dfbca fbcc ffcc bfcc bfcc dfcc dfcc fcc bcc bcc dcc dcc cc cc acd acd acb acb acg acg acg acg acg acg ecg ecg ecg ecg ecg ecg ecg ecg ecg ecg ece ece ece ece ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#5fde63ff b,#8b59f7ff c,#1dd123ff d,#c0a5faff e,#9eeba1ff f,#621ef5ff g,#d6f3d9ff ``` ```image g geacccccc geacccccaeg c geacccccaeg c geacccccaeg c eacccccaeg c geaccccaeg c eacccccaeg c ccaeg c ea c c c gc c c c c c ag c c c ae c c c ea c c fd c gc bbb c c f f c c f f c cg bd f c c f b c ae f dd a c bd b a ce df f ag ce f f ag ec fd f ag cc df bd ag ce f db ag ec fg f ag ac db f ag ca f f ee gcg f b ee ac db dd ee g f b ee f f ee bb f ee f f ee f bd ee bd db ee f f ga f f ga bd f ga gf b ga f ddga fd bga df fga f f a fd f a db bda f dbc fg fc db fc f fc f bc dbd db dc dbfffd dfffbd f c dbfffd dbff c dbfffd c dbfffd c dbfffd c b dbfffd c dfffd c c c c c c c c c c c c c c c ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#70bd30ff b,#9c42d3ff c,#b1d7b0ff d,#bf8fdeff e,#ebefeaff f,#8bc65cff g,#9acc91ff ``` ```image e gaa gaac aaa aaa caag aaae aaa caaf faae aaa eaaf faae aaa eaaa gaac aaa aaa caag aaa aaa caaf aaae aaa eaaf faae aaa eaaa gaac aaa d aaa bbb gaac bbbb aaa ebbbd aaa dbbbe caag bbbb aaae bbbb aaa ebbbd eaaf dbbbd faae bbbbe aaa bbbb eaaf ebbbb faac ebbbd aaa dbbbe aaa bbbb f gaaceeeeeeeeeeeeeeeeeeeee bbbb gaa aaacccccccccccccccccccccg ebbbd eaaa aaaccccccccccccccccccccg dbbbe aaa faafcccccccccccccccccccg bbbb faae gaaacccccccccccccccccccg bbbb eaaf gcaaaccccccccccccccccccgebbbb aaa gcgaafcccccccccccccccccdbbbd aaae d gccaaagcccccccccccccccbbbbe caag dbbbd gcccaaaccccccccccccccbbbb aaa bbbbbbbe gcccgaaaccccccccccccbbbb aaa dbbbbbbd gccccfaagccccccccccbbbdg gaac dbbbbbbd gcccccaaaccccccccdbbbccg eaaa dbbbbbbd gccccccaaaccccccbbbbcccg aaa ebbbbbbbe gccccccfaagccccbbbbccccg faae dbbbbbbbe gcccccccaaacccbbbbcccccg eaaf dbbbbbbd gccccccccaaadbbbdccccccg aaa dbbbbbbd gccccccccfaafbbccccccccg faae ebbbbbbbe gcccccccccaaabcccccccccg caaf ebbbbbbbccccccccbbaaacccccccccg aaa dbbbbbbbcccdbbbgaafccccccccg aaa dbbbbbbbbbbccaaaccccccccg caag gcbbbbbbbccccaaacccccccg aaa gccccbbbcccccgaaaccccccg aaa gcccccccccccccfaagcccccg faac gccccccccccccccaaacccccg eaaf gcccccccccccccccaaaccccg aaa gcccccccccccccccfaagcccg faae gccccccccccccccccaaacccg eaaf gcccccccccccccccccaaaccg aaa gcccccccccccccccccfaafcg aaae gccccccccccccccccccaaacg caag gcccccccccccccccccccaaag aaa gcccccccccccccccccccgaaf aaa gccccccccccccccccccccaaaegaac gcccccccccccccccccccccaaaaaa eeeeeeeeeeeeeeeeeeeeecaaaa faae fg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#70bd30ff b,#9c42d3ff c,#b7dc98ff d,#dfc2f0ff e,#deefcfff f,#8fc85fff g,#bc7fe1ff ``` ```image aaac aaaae aaaaf aaaaac faaaaae eaaaaaf caaaaac faaaaae aaaaaa eaaaaaf faaaaac aaaaaae eaaaaaf caaaaac g faaaaae gb eaaaaaf dbbb caaaaac dbbbb faaaaae gbbbbb eaaaaaf gbbbbbb caaaaac bbbbbbbg faaaaae dbbbbbbbg eaaaaaa dbbbbbbbd caaaaaf gbbbbbbbd faaaaae gbbbbbbg aaaaaa dbbbbbbbg eaaaaaf dbbbbbbbd caaaaac gbbbbbbbd faaaaae gbbbbbbbd eaaaaaf dbbbbbbbg caaaaac dbbbbbbbg faaaaaegbbbbbbbd eaaaaaabbbbbbbd caaaaafbbbbg faaaaabbbg daaaaaabd d gbbaaaaaf bbgd gbbbfaaaaae bbbbgd dbbbbbbaaaaaa bbbbbbbgd dbbbbbbbcaaaaaf bbbbbbbbbbgd gbbbbbbbd caaaaac bbbbbbbbbbbbbgbbbbbbbd faaaaae dgbbbbbbbbbbbbbbbbg eaaaaaf dgbbbbbbbbbbbbg caaaaac dgbbbbbbbbbd faaaaae dgbbbbbd eaaaaaf dgg caaaaac faaaaae eaaaaaf caaaaac faaaaae aaaaaa eaaaaaf faaaaac aaaaaae eaaaaaf caaaaac faaaaae eaaaaaf caaaaac faaaaae eaaaaaf caaaaac faaaaae aaaaaa eaaaaa faaaa aaaa eaaa ``` <!-- end of image --> Area A contains 1 intersection. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#71bd30ff b,#9c41d4ff c,#bcde9fff d,#d8b4edff e,#e6ede0ff f,#94cc66ff g,#b877e0ff ``` ```image e faa caac aaa aaa caac aaa aaa eaaf aaae aaa eaaf faae aaa eaaa faac aaa aaa caac aaa aaa caaf aaae aaa eaaf faae aaa eaaa faac aaa g aaa bbb caac bbbb aaa dbbbg aaa gbbbd caaf bbbb aaae bbbb aaa ebbbg eaaf dbbbd faae gbbb aaa bbbb eaaa bbbg faac dbbbd aaa gbbbe aaa bbbb f caac bbbb faa aaa ebbbg eaaa aaa gbbbd aaa caaf bbbb faae aaae bbbb eaaf aaa ebbbg aaa eaaf dbbbd aaae d faae gbbbe caaf dbbbd aaa bbbb aaa bbbbbbbe eaaf bbbb aaa dbbbbbbg faae dbbbg caac gbbbbbbg aaa gbbbd aaa gbbbbbbd aaa bbbb aaa ebbbbbbbd faac bbbb faae dbbbbbbg aaa ebbbg eaaf gbbbbbbg aaadbbbd aaa gbbbbbbd caafbb aaae ebbbbbbbd aaab caaf dbbbbbbbe bbaaa aaa dbbbbbbg dbbbcaaf aaa gbbbbbbgbbbe aaae caac gbbbbbb aaa aaa dbbb eaaf aaa faae faac aaa eaaa eaaa aaa faac faae aaa eaaf aaa aaa caac aaa aaa caac aaa aaa caaf aaa aaaefaac aaaaaa eaaaa faae fc ``` <!-- 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,#3bafcfff b,#9acce2ff c,#4886bbff d,#cbe4efff e,#6eb3caff f,#b1d7b1ff g,#94c89dff ``` ```image dead baaaaaae dbaaaaaaabd deaaaaaaab baaaaaaaed deaaaaaaab deaaaaaaed baaaaaaabd deaaaaaaab baaaaaaaed dbaaaaaaabd deaaaaaaab baaaaaaaed dd deaaaaaaab ce baaaaaaaed cc dbaaaaaaabd cc eaaaaaaab gggccgggggeaaaagggggf fffgceffffaaffffffffg ffffccffffaaffffffffg ffffccffffaaffffffffg ffffccffffaaffffffffg ffffecffffaaffffffffg ffffgcefffaeffffffffg fffffccffgaeffffffffg fffffccffeagffffffffg fffffccffaafffffffffg fffffecgfaafffffffffg fffffgcefaafffffffffg ffffffccfaafffffffffg ffffffccfaafffffffffg ffffffccfaefffffffffg ffffffeceaefffffffffg fffffffccagfffffffffg fffffffccaffffffffffg fffffffccaffffffffffg fffffffccaffffffffffg fffffffecaffffffffffg ffffffffccffffffffffg ffffffffccffffffffffg fffffffgccffffffffffg fffffffeccffffffffffg fffffffaacefffffffffg fffffffaaccegfffffffg fffffffaacccccccccegg fffffffaaffgecccccccccccebd fffffffaafffffffffgecccccccccccebd fffffffaefffffffffffg deccccccccccceb ffffffgaefffffffffffg beccccccccccced ffffffeagfffffffffffg dbecccccccccccbd ffffffaaffffffffffffg dbecccccccccccbd ffffffaaffffffffffffg dbeccccccccccebd ffffffaaffffffffffffg dbeccccccccccebd ffffffaaffffffffffffg dbcccccccccccebd ffffffaaffffffffffffg decccccccce ffffffaeffffffffffffg decb fffffgaeffffffffffffg fffffeagffffffffffffg fffffaafffffffffffffg fffffaafffffffffffffg aa aa aa ae dab bad ea aa aa aa aa ae dab bad ea aa aa aa aa ae dd ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3baecfff b,#96c8dfff c,#4786bbff d,#badceaff e,#68c1daff f,#dcedf4ff g,#74a3cbff ``` ```image cccg daaaaaaaaaaaebdf gccc baaaaaaaebd bcccd eaaaedf dcccb eaaa fcccg aaae cccc aaae gcccf faaab bcccd daaab dcccb daaad fcccg baaaf cccc eaaaf gcccf eaaa bcccd aaae dcccb aaae fcccg faaab cccc daaab gcccf daaad bcccd baaaf dcccb eaaaf cccg eaaa gccc aaae gcccf aaae dcccb faaab fcccg daaab cccg daaad gccc baaaf bcccd eaaaf dcccb eaaa fcccg aaaa cccc aaae gcccdaaab bcccbaaab dcccgaaad fccccaaaf ccccaaaf gcccaaa bcccaaa dccccae fccccab ccccab gcccad bcccaf fccccf cccc cccc ccccf facccb dacccg dacccg bacccc eaccccd eaacccb aaacccg aaaccccgbddf faaaccccccccccggbdff daaagccccccccccccccccggbdf daaadbgcccccccccccccccccccc baaaf fddbggccccccccccccc eaaaf fdbbgccccccc eaaa fdbbg aaaa aaae faaab daaab daaad baaaf eaaaf eaaa aaaa aaae faaab daaab daaad baaad eaaaf eaaa aaaa aaae faaab daaab daaad baaad eaaaf eaaa aaaa aaae ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3aafd0ff b,#98cae0ff c,#4885bbff d,#c3e0edff e,#64c0d9ff f,#e5f1f7ff g,#75a3cbff ``` ```image dead baaaaaae fbaaaaaaabf deaaaaaaab baaaaaaaed feaaaaaaabf deaaaaaaed fbaaaaaaaef deaaaaaaab baaaaaaaed fbaaaaaaabf deaaaaaaed fbaaaaaaaed dd deaaaaaaabf fcg deaaaaaaed cc fbaaaaaaabf cc eaaaaaaab gcf baaaed dcb ea cc aa cc aa cc aa gcf aa dcb fae cc dab cc bad cc ea gcd aa dcg aa cc aa cc aa ccfae bcbab fccad cca cca cca bca cc cc dcc bccf eacb aaccbd aaccccccccgbd aa dbgccccccccccgbf aa dbcccccccccccgbf ae fdgcccccccccccgdf dab fdgcccccccccccgdf bad fbgcccccccccccbd ea fbgccccccccccgbd aa dbgccccccccccgbd aa dbgccccccccccgbf aa dbcccccccccccgbf aa dgccccccccg ae fdgcb dab bad ea aa aa aa aa ae dab bad ea aa aa aa aa ae dab bad ea aa aa aa aa ae dd ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#aaa10eff b,#c8d47bff c,#e8eabeff d,#c0df43ff e,#b1d7b0ff f,#b6b43fff g,#97ca95ff ``` ```image d dddd cdddddb ddddddc eggggggggggggggge cdddddd geeeeeeeeeeeeeeeg bdddddd geeeeeeeeeeeeeeeg dddddddeeeeeeeeeeeeeeeg ddddddbeeeeeeeeeeeeeg cddddddeeeeeeeeeeeeg cddddddeeeeeeeeeeg gdddddfdeeeeeeeeg geeddaaadbeeeeeeg geeeeaaafddbeeeeg geeebaaaaddddeeeg geeeaaaaaddddddeg geeeaaaaaeddddddd geebaaaaafeeddddddc geeaaaaaaaeeebddddddc geeaaaeaaaeeeeebdddddd gebaaaeaaageeeeegbdddddb geaaafeaaafeeeeeg ddddddc egaaaggfaaaggggge cddddddc caaa aaa cdddddd aaaf aaac bdddddd aaa faaf ddddddb caaa caaa ddddddc aaaf aaa cdddddd aaac aaab bdddddd caaa faaa ddddddb aaaf caaa ddddddc aaac aaa cddddddc geeeeeeeeeeeeeeeeeeeee caaa aaab bdddddd geeeeeeeeeeeeeeeeeeeee aaaf baaa bdddddb geeeeeeeeeeeeeeeeeeeee aaac aaa ddddddc geeeeeeeeeeeeeeeeeeeee caaa aaac cddddddcgeeeeeeeeeeeeeeeeeeeee faaf aaab cddddddeeeeeeeeeeeeeeeeeeeee aaac baaa bddddddeeeeeeeeeeeeeeaeeee caaa aaa ddddddbeeeeeeeeeeeaaaeee faaa aaac ddddddbeeeeeeeeaaaafee aaac faaf gbddddddeeeeegaaaafeee caaa caaa geebddddddeebaaaabeeee faaa aaa geeeeddddddfaaaageeeee aaac aaa geeeeeedddaaaaaeeeeeee caaa aaab geeeeeeebaaaaadeeeeeee faaa faaf geeeeeeeaaaaaddddeeeee aaac caaa geeeeeeaaaaaddddddeeee aaa aaa geeeeeaaaafeeeddddbeee faaa aaa geeeeaaaafeeeeebdddeee aaac aaac geegaaaafeeeeeeedddeee aaa aaab gebaaaabeeeeeeeedddeee faaa baaa gfaaaageeeeeeeeedddeee aaac caaa faaaaeeeeeeeeeeedbeeee aaa aaa aaaaaeeeeeeeeeeeeeeeeee faaa aaa aaaaaeeeeeeeeeeeeeeeeeee aaab aaac aaaaaeeeeeeeeeeeeeeeeeeee aaa faaf aaaaaeeeeeeeeeeeeeeeeeeeee faaa baaa caaaabgeeeeeeeeeeeeeeeeeeeee aaab aaa caaaab aaa aaa baaaac baaa aaac baaaa aaab aaab faaaa aaa faaf aaaaa baaa caaa aaaaa aaab aaa aaaaf aaa aaa aaaaf ba aaac caaaab aaab caaaac baaa baaaac caaa faaaa aaa faaaa aaa aaaaa aaac aaaaa faaf aaaaf baaa aaaaf aaa caaaab aaa caaaac aaacbaaaac aaaaaaaa baaaaaa caaaaa aaaa aaf ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#aaa10eff b,#cce565ff c,#f2f6dbff d,#c1df42ff e,#dde59cff f,#b5bc29ff g,#c2bc54ff ``` ```image c dbc dddec ddddde ddddddbe ddddddddbc ddddddddddbc dddddddddddde cedddddddddddde cbdddddddddffdc cbdddddfaaaafbc eddddaaaaaadde edfaaaaaadddde cfaaaaaafddddbc caaaaaaaaddddddbc eaaaaaaaaddddddddec gaaaaaaaafddddddddde caaaaaaaaafddddddddddbe eaaaaaaaaafbdddddddddddb gaaaaaaaaaacebdddddddddd caaaaaaaaaaae eddddddddd eaaaaaaaaaaag ceddddddd gaaaaaaaaaaaf cbddddd caaaaaaaaaaaaac cbddd eaaaaaagaaaaaae edd gaaaaaacaaaaaag e caaaaaag gaaaaaa eaaaaaae eaaaaaac gaaaaaac caaaaaae aaaaaag aaaaaag eaaaaaae gaaaaaa ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Now, let's dive into another area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#aaa10eff b,#cddb6cff c,#e9eebfff d,#c1e042ff e,#dbe496ff f,#bab63dff g,#f5f6e2ff ``` ```image bg dde ddddc ec dddddbc eaag dddddddbg baaafg dddddddddeg baaaaafg ddddddddddde faaaaaaaf bdddddddddddbc gfaaaaaaaaf cbdddddddddddbg gfaaaaaaaab cddddddddddddeg caaaaaaaaab edddddddddddde caaaaaaaaae geddddddddddddc eaaaaaaaaae gbdddddddddddbc eaaaaaaaaac cddddddddddddfaaaaaaaaag edddddddddaaaaaaaaafg geddddddaaaaaaaaafg gbdddaaaaaaaaaf cdaaaaaaaaafdbg caaaaaaaaafddddeg caaaaaaaaafddddddde eaaaaaaaaafdddddddddbg eaaaaaaaaaebddddddddddd baaaaaaaafg cddddddddddc faaaaaaaafg edddddddde gfaaaaaaaafg geddddddb gfaaaaaaaaf edddddd gfaaaaaaaab cddddddg caaaaaaaaae gddddddc caaaaaaaaae dddddde eaaaaaaaaac bdddddb baaaaaaaaac edddddd baaaaaaaafg cddddddc faaaaaaaafg gddddddc gfaaaaaaaafg bbecg faaaaaaaab aaaaaaaab aaaaaaae aaaaaae aaaaac aaaac aafg afg f ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#aaa10eff b,#cbd269ff c,#e8e9bdff d,#c1e043ff e,#dadf95ff f,#bab43eff g,#f4f5dfff ``` ```image dg dddd gddddde gddddddc cddddddg edddddd bdddddb dddddde gddddddg edddddd bddddfd ddaaade gaaafddc eaaaaddddg aaaaadddddd aaaaagdddddde eaaaaab gddddddc aaaaaaa cddddddg aaagaaa edddddd eaaa aaac bdddddb aaaf aaaf dddddde aaag eaaa gddddddg eaaa aaa edddddd aaaf aaac bdddddb aaag faaf dddddde caaa caaa gddddddc aaaf aaa cddddddg aaag aaae edddddd caaa faaa dddddde aaaf gaaa gddddddc aaag aaa cddddddg caaa aaab edddddd aaaf baaa bdddddb aaac gaaa dddddde caaa aaag gddddddg faaf aaab edddddd aaac eaaa bdddddb ag caaa aaa dddddde aaa faaa aaac gddddddc gaaaaf aaac faaf cddddddg caaaab gaaa eaaa edddddd eaaaac faaa aaa ddddddfaaaag aaac aaag gdddaaaaag gaaa aaae caaaaadg faaa faaf aaaaadddd aaac eaaa aaaaabddddd gaaa aaa aaaaf dddde faaa aaa gaaaab eddd aaae aaac caaaae gddd gaaa aaab eaaaac ddd faaa baaa baaaag dddc aaae caaa faaaa beg gaaa aaa aaaaa faaa aaa aaaaa aaae aaae aaaaa aaa faaf aaaaf baaa eaaa gaaaab aaae gaaa caaaae aaa aaa eaaaac baaa aaag baaaag aaae aaae faaaa aaa faaf aaaaa baaa caaa aaaaa aaae aaa aaaaf aaa aaa gaaaaf ea aaac gaaaab aaab caaaae baaa eaaaac caaa faaaag aaa faaaa aaa aaaaa aaae aaaaa faaf aaaaf eaaa gaaaaf gaaa caaaab aaa eaaaac aaagbaaaag aaaaaaaag baaaaaa caaaaa aaaa aaf ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all 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,#fa0cc8ff b,#f4e0c1ff c,#fcb2edff d,#e9c281ff e,#b2d6b1ff f,#e667c9ff g,#96c896ff ``` ```image f aa aa aa aa aa aa af caf cac cac fac fa aa aa aa aa aa aa aa caf d caf db cac db fac dd fac bd fa bd aa d aa d d aa bd d ca ddb d af dbdd d fa dd bd db fac d d db fac db d dd fac dd d bd fac bd db bd fac db db d cac dd bd d cac bd bd d cac db d d cac dd d d cac bd db db cac d db db cac dd bd dd cac dd bd bd cac d d geddeeeeeeeeeeeeeeeeeeeeg cac db d geedeeeeeeeeeeeeeeeeeeeeg cac dd db geedeeeeeeeeeeeeeeeeeeeeg cac bd db geeddeeeeeeeeeeeeeeeeeeeg cac db bd geeedeeeeeeeeeeeeeeeeeeeg cac dd bd geeeddeeeeeeeeeeeeeeeeeeg cac bd d geeeedeeeeeeeeeeeeeeeeeegcac db d geeeedeeeeeeeeeeeeeeeeeegac dd d geeeeddeeeeeeeeeeeeeeeeeac bd db geeeeedeeeeeeeeeeeeeeeeaf d dd geeeeeddeeeeeeeeeeeeeeafg dd bd geeeeeedeeeeeeeeeeeeeafeg bd d geeeeeeddeeeeeeeeeeeafeeg d d geeeeeeedeeeeeeeeeeafeeeg db d geeeeeeedeeeeeeeeeafeeeeg dd geeeeeeeddeeeeeeeafeeeeeg bd geeeeeeeedeeeeeeafeeeeeeg db geeeeeeeeddeeeeafeeeeeeeg dd geeeeeeeeedeeeafeeeeeeeeg bd geeeeeeeeeddeafeeeeeeeeeg db geeeeeeeeeedafeeeeeeeeeeg bdd geeeeeeeeeedfeeeeeeeeeeeg bbddddddddddd geeeeeeeeeaddeeeeeeeeeeddddddddddddddbbb geeeeeeeeafeddddddddddddddbb geeeeeeeafeedddeeeeeeeeeg geeeeeeafeeeeeeeeeeeeeeeg geeeeeafeeeeeeeeeeeeeeeeg geeeeafeeeeeeeeeeeeeeeeeg geeeafeeeeeeeeeeeeeeeeeeg geeafeeeeeeeeeeeeeeeeeeeg geafeeeeeeeeeeeeeeeeeeeeg gafeeeeeeeeeeeeeeeeeeeeeg afeeeeeeeeeeeeeeeeeeeeeeg afeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeg ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#f910c9ff b,#f1d3a7ff c,#fb8ce3ff d,#ebc07eff e,#fdd2f4ff f,#fa63d7ff g,#f8ead3ff ``` ```image ddb bdd gddg ddd gddg ddb bddg gddb bdd gddg ddd gddg ddb bddg gddb bdd gddg ddd e gddg ea ddb eaa bddg eaaa gddb eaaac bdd eaaac gddg eaaac ddd eaaac gddg eaaac ddb eaaac bdd eaaac gddb eaaac bdd eaaac gddg eaaac ddd eaaac bddg eaaac ddb eaaac bdd eaaac gddb eaaac bdd eaaac gddg eaaac ddd eaaac bddg eaaac ddb eaaac bddeaaac gddfaac dddac efddc eaaddb eaaabddg ggggb eaaaf ddb ggggbbbbddddddddd eaaaf bddbddddddddddddddddddddd eaaaf gddddddddddddddbbbbgggg eaaaf bdbbbbgggg eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf eaaaf aaaf aaaf aaf af f ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fa0cc8ff b,#f0d1a3ff c,#fc96e6ff d,#ebc07dff e,#fdcbf3ff f,#fb5ddaff g,#f7e9d2ff ``` ```image f aa aa aa aa aa aa eaf eaf cac cac fae fae aa aa aa aa aa aa af eaf dg eaf dg cac db cae bb fae bd fa gd aa gd aa b d aa bd d ea ddg d af dbbb dg fa bd gd dg fae gd gd db cae db d bb cae dd d bd cae gd dg gd cae dg db gd cae dd bd d cae gd gd d cae dg d d cae dd d dg cae bd dg dg cae d db db cae db bd bb cae bd gd d cae d d dg cae db d gd cae dd dg dg cae gd db bd cac dg bd d cac dd gd db eac gd d gd eac dg d dg eac dd dg gd eac bd dg d eac dg bb bd eac db gd d eac bd d db eac d d gd eac db d dg eac bd gd eac gd d eac dg bd eac dd d eac gd dbeac dg gdac gdd edc ggbbdddddddddd eabd ggbbdddddddddddbgg eaf dbdddddddddddbbgg eaf bbbgg eaf eaf eaf eaf eaf af af af af ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#a731cdff b,#d7f9b5ff c,#ddafecff d,#b1d7b1ff e,#f0f7ecff f,#96ca96ff g,#ba7cd1ff ``` ```image e bb eb eb eb eb eb c eb ea b a b ac be ca be a be ae be gg be ca be a bb ac bb gg bb ea bb a bb ac eb ca eb a eb ae eb gg eb eeeeeeeeeeeeeeeeeeeeeeee ea eb fddddddddddddddddddddddfe a e b fddddddddddddddddddddddde ac b b fdddddddddddddddddddddddeca eb b fdddddddddddddddddddddddea be be fdddddddddddddddddddddddae b be fddddddddddddddddddddddag b be fddddddddddddddddddddddae ee be fdddddddddddddddddddddade b be fddddddddddddddddddddadde b bbfdddddddddddddddddddgadde eb bbdddddddddddddddddddaddde be bbdddddddddddddddddadddde b fbbdddddddddddddddagdddde b fdbbdddddddddddddgaddddde ee fddbbddddddddddddadddddde b fdddbbddddddddddaddddddde b fdddddbddddddddggddddddde eb fddddddbdddddddadddddddde b fdddddddbdddddaddddddddde b fddddddddbdddagddddddddde b fdddddddddbdgadddddddddde be fddddddddddbaddddddddddde b fddddddddddabddddddddddde b fdddddddddagdbdddddddddde ee fdddddddddadddbddddddddde b fddddddddadddddbdddddddde b fdddddddadddddddbddddddde eb fddddddgaddddddddbdddddde be fddddddaddddddddddbbdddde b fdddddaddddddddddddbbddde b fddddagdddddddddddddbbdde ee fdddgadddddddddddddddbbde b fdddadddddddddddddddddbbe b fddadddddddddddddddddddbb eb fdgaddddddddddddddddddddbb be fdadddddddddddddddddddddeeb b fadddddddddddddddddddddde eb b agdddddddddddddddddddddde eb ee caddddddddddddddddddddddde ebb afddddddddddddddddddddddde b aefddddddddddddddddddddddde gg fddddddddddddddddddddddde ea fddddddddddddddddddddddde a fddddddddddddddddddddddde ac dfffffffffffffffffffffffe caaa caaage caaage caaage caaage caaage caaage caaage aage ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b249d3ff b,#d9fbb6ff c,#d7a1e8ff d,#a629cdff e,#ebfdd9ff f,#ecd2f4ff g,#c372ddff ``` ```image c fd ad gdg cda fddf adc cda fddf e adc bb gdg bbb cda bbb fddf bbb adc bbb gdg ebb fddf ebb fddf ebb adg ebbe cda ebbe fddf ebbe adc ebbe gdg ebbe cda ebbe fddf ebbe adc ebbe cda bbe fddf bbe adc bbe gdg bbb cda bbbfddf bbadc gda fddbb ddcebb gdg ebb cda ebb fddf ebbe adc ebbe gdg ebbe cda ebbe fddf ebbe adg ebbe cda ebbe fddf ebbe adc bbe gdg bbe cda bbe fddf bbb adc bbb gda bbb fddf bbb adc bbb gdg bb cda e fddf adc gdg cdd fddf adg cda fddf adc dg a f ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b349d4ff b,#d9fbb6ff c,#ddafecff d,#a529cdff e,#ecfddcff f,#f2e2f8ff g,#c97fe1ff ``` ```image e eb eb eb eb eb b g b fd b d b dc b ca b d be df be ag be cd be d be df bb ga bb fd bb d eb ac eb ca eb d eb df eb gg eb fd b d e b ac b b ca b b d be b df b be ag b be fd ee be d b be df b be ga eb bb fd b bb d b bb ac b bb cd ee eb d b eb df b eb gg ee eb fd b eb d b b ac b b ca ee bd b db b ag b ee fd be b d be b dc be b ga be be fd be b d be b ag bb ee cd bb b d bb b df eb eb ga eb b fd eb b d eb b ac eb ee ca bb d b df gg fd d dc cada caddgf caddgf caddgf caddgf caddgf caddgf caddgf ddgf ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#d889c7ff b,#693293ff c,#ee24bcff d,#a3cea4ff e,#8e78a7ff f,#f0f1efff g,#b2d7b1ff ``` ```image faeef ffaeebbbbbbbbbbf faaebbbbbbbbbbbbeeaf faeebbbbbbbbbbbbeaff ffaebbbbbbbbbbbbeeaf abbbbbbbbbeaaf bbff fbf bb ba eb ffffffffffffffffffffffffffffbefff fdddddddddddddddddddddddddddebddddf fdggggggggggggggggggggggggggbbgggdf fdgggggggggggggggggggggggggdbggggdf fdgggggggggggggggggggggggggbbggggdf fdggggggggggggggggggggggggdbdggggdf fdggggggggggggggggggggggggbbgggggdf fdggggggggggagggggggggggggbegggggdf fdggggggggggccgggggggggggebggggggdf fdgggggggggacccggggggggggbeggggggdf fdgggggggggccgccggggggggebgggggggdf fdgggggggggcaggccgggggggbbgggggggdf fdgggggggggcggggccgggggdbdgggggggdf fdggggggggacggggaccggggbbggggggggdf fdggggggggccgggggacagggbdggggggggdf fdggggggggccggggggacagbbgggggggggdf fdggggggggcagggggggacabegggggggggdf fdggggggggcgggggggggacbggggggggggdf fdgggggggacggggggggggccagggggggggdf fdgggggggccgggggggggdbccgggggggggdf fdgggggggcagggggggggbbgccggggggggdf fdgggggggcgggggggggdbdggccgggggggdf fdgggggggcgggggggggbbggggccggggggdf fdggggggacgggggggggbegggggccgggggdf fdggggggccggggggggebgggggggccggggdf fdggggggcaggggggggbeggggggggccgggdf fdggggggcggggggggebggggggggggccggdf fdgggggacggggggggbbgggggggggggccgdf fdgggggccgggggggdbgggggggggggggccdf fdgggggccgggggggbbggggggggggggggccf fdgggggcagggggggbdgggggggggggggggcc fdgggggcgggggggbbggggggggggggggggdcc fdggggacgggggggbeggggggggggggggggdfcc fdggggccggggggebgggggggggggggggggdffca fdggggcaggggggbbgggggggggggggggggdf aca fdggggcggggggebggggggggggggggggggdf aca fdgggacggggggbbggggggggggggggggggdf aca fdgggccgggggdbdggggggggggggggggggdf aca fdgggccgggggbbgggggggggggggggggggdf ccf fdgggcagggggbegggggggggggggggggggdf ccf fdgggcgggggebggggggggggggggggggggdf ccf fdggacgggggbeggggggggggggggggggggdf ccf fdggccggggebgggggggggggggggggggggdf cc fdggcaggggbbgggggggggggggggggggggdf cc fdggcggggdbggggggggggggggggggggggdf cc fdgacggggbbggggggggggggggggggggggdf cc fdgccggggbdggggggggggggggggggggggdf cc fdgcagggbbgggggggggggggggggggggggdf cc fdgcggggbegggggggggggggggggggggggdf cc fdacgggebggggggggggggggggggggggggdf fcc fdccgggbeggggggggggggggggggggggggdf fccf fdcaggebgggggggggggggggggggggggggdf cca fdcgggbbgggggggggggggggggggggggggdf accf facggdbdgggggggggggggggggggggggggdf ccc fccggbbggggggggggggggggggggggggggdf accf fccggbeggggggggggggggggggggggggggdf ccc fcagebgggggggggggggggggggggggggggdf fcca fdggbegggggggggggggggggggggggggggdf ccc fdgebggggggggggggggggggggggggggggdf fcca fdgbbggggggggggggggggggggggggggggdf ccc fddbgggggggggggggggggggggggggggggdf fcca fdbbgggggggggggggggggggggggggggggdf accf fdbdgggggggggggggggggggggggggggggdf cca fbbggggggggggggggggggggggggggggggdf accf fbedddddddddddddddddddddddddddddddf ccc accf ccc fcca cca f ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#f8a2e3ff b,#6a3294ff c,#ef21bcff d,#c1abd3ff e,#9771b5ff f,#f1d9f0ff g,#f462d0ff ``` ```image ebbe fbbbf dbbe bbbf ebbd dbbb ebbd bbbf bbe bbf dbe dbb fga ebd ccca fbb fcccca ebb accccc fbbb gcccccf dbbe gccagccf bbbf fccg fcccf bbbd accg ccccf dbbb gcca fccccf ebbd cccf fcccg fbbbf ccc fcccg ebbe ccg fcccg bbbf cca accc bbe cc accg dbb fcc accg ebd acg ccca fbb gca gcccaebe gcf gcccbbf cc gcccb aca dccca gca bbcccf ccf dbbbgccf fcc ebbd cccf acc fbbb ccccf gcc ebbe fccccf gcc fbbbf fccccf fccg bbbd fccc accg bbb fccg gcca bbd accg cccf fbb accg fccc ebd cccg accg fbbf acccg acca ebe acccg ccc dbb gccc fccg bbb gcca accg dbbb gcca gcca ebbd gcca gccf fbbb ccca ccc ebbe gccc fccg fbbbf gcc gcca bbbf fc cccf dbbe f ccc ebbd ccg fbbb cca ebbd ccf bbbf cc bbe acg dbe gca bbd ccf dbb fcc ebd acg fbb aca ebb gcf fbbb fcc bbbf acc dbbe gcc bbbd ccc dbbb fccc ebbd accg fbbbf gcca ebbe fccc bbe accg bbd gcca dbb gccf ebd ccc fbb fccg ebe acca fbbf gccf ebb fccg dbbe accg bbbd gcca dbbb cccf ebbd ccc fbbbf ccg ebbe cca fbbbf fcc bbbd acg bbb gca bbd gcf fbb cc ebd acg fbbf aca ebe cc dbb fcc bbb acc dbbb gcc ebbd fag fbbb ebbe fbbbf bbbd dbbb ebbd bbb bbd fbbf ebe dbe bbd dbb ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f793deff b,#693194ff c,#ef20bcff d,#bfa8d1ff e,#946db3ff f,#f0d2edff g,#f356ccff ``` ```image fdde fdeebbbbbbbbbbf fddebbbbbbbbbbbbeedf fdeebbbbbbbbbbbbeddf ffdebbbbbbbbbbbbeedf dbbbbbbbbbeddf bbf fbf bb bd eb be db be fb bb bf bb g bd fcc eb accc be cc cc db ca fcc bb cf fcg fb fc fcg bb gc acg bd cg aca eb ca acabd c gcb ac ccf cc dbgcf cg bb ccf cf bf ccf fc bb cc gc bd cc cc eb cc ca be cc c db cc ac bb cc gc fb cc cg bb cc cf bf fcc fc eb fcg ac bd fcg cc eb fcg ca be acg cf db aca fc bb aca gc fbf gca cg bb gcf ca bd gcf fc eb ccf gc be cc cc db cc ca bb cc c fb cc ac bb cc cc bf cc ca bb cc c bd cc ac eb cc cc be fcc cg db ccg cf bb accf fc fbf ccg gc bb accf cg bd ccc cf eb fcca be gcc db fcca be gcc fb cca bb gcc bf ccg bb accf bd ccg accf ccc fcca gca f ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#63d652ff b,#563972ff c,#b1d8b1ff d,#7a698eff e,#e8f1e8ff f,#a6a3b2ff g,#93d48dff ``` ```image d dbb eca dbbb aaa fbbb gaa ebbbe eaae ebbbc aag bbbf aaa bbbd aaa bbbd aaa bbbb caa ff dbbb eaac dbbe dbbb aag fbbbc fbbb aaa fbbbbf cbbbe aaa cbbbbbf ebbbe gaa ebbbcbbf bbbf caae ebbbf bbf bbbd aac bbbf bbf bbbd aag bbbd bbf bbbb aaa bbbd bbd bbbb aaa bbbb bbd dbbb gaa bbbb bbd fbbb eaae bbbb bbd fbbbe aag dbbb bbd ebbbe aaa dbbb bbb ebbbf aaa fbbb bbb bbbf aaa fbbbe bbb bbbd caa cbbbe bbb bbbb eaac ebbbc bbb bbbb aag ebbbf bbb dbbb aaa bbbf bbb dbbb aaa bbbd bbb fbbb gaa bbbd bbb ebbbe caae bbbb bbb ebbbc aac bbbb bbb bbbf aaa bbbb bbb bbbd eeeeeeeaaaeeeeeeeeeeedbbb bbb bbbd gcccccccaaaccccccccccdbbb dbbbbbb gcccccccgaacccccccccdbbb dbbbbb gcccccccgaagcccccccdbbbg dbbbb gccccccccaagccccccfbbbfg dbbb gccccccccaaacccccfbbbfcg fbbe gccccccccaaacccccbbbfccg e gccccccccaaaccccbbbdcccg ec gccccccccgaacccbbbdccccg eaaaa gcccccccccaagcbbbdcccccg eaaaaaaa gcccccccccaaabbbbccccccg eaaaaaaaac gcccccccccaaabbbcccccccg egaaaaaaac gcccccccccaaabbccccccccg egaaaaaaac gcccccccccaaabcccccccccg egaaaaaaag gccccccccddaaccccccccccg gaaaaaaag gcccccccdbbaagcccccccccg gaaaaaaag gccccccdbbbaaacccccccccg gaaaaaaag gcccccfbbbcaaacccccccccg gaaaaaaag gccccfbbbfcaaacccccccccg gaaaaaaage gcccfbbbfccgaacccccccccg gaaaaaaage gcccbbbdcccgaagccccccccg caaaaaaage gccbbbdcccccaaaccccccccg caaaaaaage gcbbbdccccccaaaaaccccccg caaaaaaaae gcfbbcccccccaaaaaaaacccg caaaaaaaae gccfccccccccccgaaaaaaagg caaaaaaae gccccccccccccccccgaaaaaaae aaaaae gccccccccccccccccccgaaaaaaac aaa eeeeeeeeeeeeeeeeeeeeecaaaaa aaa gaae aaa aaa aag aaa aac caac eaae aaa caa aaa gaa eaac gaa aaa aaa gaa aaa eaagaaa aaaaaa gaaaag aaaac aaaae caaa aaa aaa ag ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#62d551ff b,#573a72ff c,#bbedb4ff d,#7d6a91ff e,#e0e8e1ff f,#b5a8c1ff g,#8ee182ff ``` ```image caaaaae edb eaaaaac dbb aaaaac dbbb gaaaag dbbbb gaaaaa dbbbbb caaaaa fbbbbbb eaaaaae fbbbbbbd eaaaaac fbbbbbbbe aaaaag fbbbbbbbe gaaaag ebbbbbbbe gaaaaa ebbbbbbbe caaaaae ebbbbbbbf eaaaaac ebbbbbbbf aaaaac edbbbbbbf aaaaag dbbbbbbf gaaaag dbbbbbbd caaaaa dbbbbbbd caaaaae dbbbbbbd eaaaaac fbbbbbbd aaaaac fbbbbbbd gaaaagfbbbbbbbe gaaaaabbbbbbbe caaaaabbbbbbe eaaaaabbbbbe eaaaaadbbbf aaaaaabbf eaaaaaabf daaaaaaf dbdaaaaae dbbbaaaaac dbbbbaaaaac dbbbbbaaaaag fbbbbbbaaaaag fbbbbbbdgaaaaa fbbbbbbbecaaaaae fbbbbbbbe eaaaaac ebbbbbbbe aaaaac ebbbbbbbf gaaaag ebbbbbbbf gaaaaa ebbbbbbbf caaaaa dbbbbbbf eaaaaae dbbbbbbf eaaaaac dbbbbbbd aaaaag dbbbbbbd gaaaaaage dbbbbbbd gaaaaaaaaace fbbbbbd caaaaaaaaaaagc ebbbde gaaaaaaaaaaaaagc ebbe cgaaaaaaaaaaaaaage ee cgaaaaaaaaaaaaagce ecaaaaaaaaaaaaaa egaaaaaaaaaaa cgaaaaaaaa ecgaaaaa ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#62d651ff b,#563972ff c,#afeaa7ff d,#7e6993ff e,#dde6deff f,#b1a4beff g,#89df7cff ``` ```image d dbb ecg dbbb aaa fbbb gaa ebbbe eaae ebbbf aac bbbf aaa bbbd aaa bbbd aaa bbbb caa ff dbbb eaac dbbe dbbb aag fbbbe fbbb aaa fbbbbf ebbbe aaa ebbbbbf ebbbe gaa ebbbfbbf bbbf caae ebbbf bbf bbbd aac bbbf bbf bbbd aag bbbd bbd bbbb aaa bbbd bbd bbbb aaa bbbb bbd dbbb gaa bbbb bbd fbbb eaae bbbb bbd fbbb aac dbbb bbb ebbbe aaa dbbb bbb bbbf aaa fbbb bbb bbbf aaa fbbbe bbb bbbd caa fbbbe bbb bbbb eaac ebbbe bbb bbbb aag ebbbf bbb dbbb aaa bbbf bbb dbbb aaa bbbd bbb fbbb gaa bbbd bbb ebbbe caae bbbb bbb ebbbe aac bbbb bbb bbbf aag bbbb bbb bbbd aaa dbbb bbb bbbd aaa dbbb dbbbbbb gaa dbbb dbbbbb eaae fbbb dbbbb aac fbbbe dbbb aaa ebbbe fbbe aaa ebbbf e aaa bbbf ec caa bbbd eaaaa eaac bbbd egaaaaaa aagbbbb egaaaaaaac aaabbb egaaaaaaac aaabb gaaaaaaac aaab gaaaaaaac ddaae gaaaaaaac dbbaac gaaaaaaag fbbbaag gaaaaaaag fbbbeaaa gaaaaaaag ebbbe aaa caaaaaaag ebbbf gaa caaaaaaag bbbf eaae caaaaaaag bbbd aag caaaaaaage bbbd aaaaae caaaaaaage ebd gaaaaaag caaaaaaage e caaaaaaac caaaaaaae gaaaaaaae aaaaae egaaaaaac aaa eaaaaa aaa gaae aag aaa aag aaa aac caac eaae aaa caa aaa caa eaac gaa aaa aaa gaa aaa aagaaa aaaaag caaaag aaaac aaaae caaa aaa aaa ac ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#466546ff b,#f540edff c,#b0d5b0ff d,#d580d1ff e,#7b957bff f,#f9aaf6ff g,#eff3efff ``` ```image ga aa caa aaag gaaag aacac gaegac aa gac gaa ae aag ae aa aa aag aa aa aa eag aa aa aa eac aa aa aa eac aa aa ea gccceeaaaaaaaac cac ea ggcceeaaaaaaaaaaaaaaaaaaaaaaaaag aa eaaaaaaaaaaaaaaaaaaaaaaaeeeccgg gaa cac caaaaaaaeeeccgg caa aa eae cae aac aa gggggggggggfbbggggggggggaagggg bf cae gcccccccdbbbbbbbcccccccccaaccccg bb aa gcccdbbbbbbdccbbcccccccccaaccccg bb gae fbbbbbbdccccccdbdcccccccceaccccg bb aa fbbbbbbdcccccccccccbbcccccccccaecccg bb gaa fbbbbbbbfccccccccccccccbbcccccccccaacccg bb aa fbbbbbbbf gcccccccccccccccbdccccccccaacccg bb gaa fbbbbf gcccccccccccccccbbccccccccaacccg bb aag bb gcccccccccccccccdbcccccccceacccg bb aa bb gccccccccccccccccbbccccccccaeccg bb eag bbf gccccccccccccccccbbccccccccaaccg fb aa fbb gcccccccccccccccccbdcccccccaaccg fb eag bb gcccccccccccccccccbbcccccccaaccg fbg aa bbf gcccccccccccccccccdbccccccceaccg fbf eac fbb gccccccccccccccccccbbcccccceaecg bf aa bb gccccccccccccccccccbbcccccccaecg bf eac bb gccccccccccccccccccdbdccccccaacg bd aa bbf gcccccccccccccccccccbbccccccaacg bb cac fbb gcccccccccccccccccccbbccccccaacg bb aa bb gccccccccccccccccccccbdccccceaeg ggggbbggggggcaeggg bbf gccccccccccccccccccccbbccccccaeg ccccbbccccccaaccccg fbb gccccccccccccccccccccdbccccccccg ccccbbccccceaeccccg bb gcccccccccccccccccccccbbcccccccg ccccbbcccccaacccccg bb gcccccccccccccccccccccbbcccccccg ccccbbcccccaecccccg bbf gcccccccccccccccccccccdbdccccccg ccccbbccccaaccccccg fbb gccccccccccccccccccccccbbccccccg ccccdbccccaaccccccg bb ggggggggggggggggggggggbbgggggg ccccdbcccaacccccccg bbg bb ccccdbcccaacccccccg fbb bb ccccdbccaaccccccccg gbb fbf cccccbdcaaccccccccg bb bb cccccbdaacccccccccg bbf bb cccccbdaacccccccccg fbb gbf cccccbaaccccccccccg bb bb cccccbaaccccccccccg bbg fbg ccccceacccccccccccg fbb bb cccccaacccccccccccggbb bb cccceadcccccccccccgbb fbf ccccaabcccccccccccbbf bb ccceadbccccccccccdbb bb cccaabbccccccccccbb bb cccaedbcccccccccbbg g cccccdbccccccccdbdg cccccdbccccccccbbcg cccccdbcccccccbbccg ccccccbdcccccbbdccg ccccccbdccccdbbcccg ccccccbdccccbbccccg ccccccbdcccbbcccccg ggggggbbggdbdggggg bb gbb bb bb bbbbf bbbb bbb bbg g ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#456545ff b,#f53fedff c,#cdd4cdff d,#f887f3ff e,#9c9f9bff f,#fbc5f9ff g,#6f7d6eff ``` ```image dbbb caaae fbbbf gaaa fbbbf caaae fbbbf gaaac fbbbf caaae bbbf gaaac bbbd caaag bbbd gaaac bbbd caaag bbbd gaaac bbbd caaag dbbb eaaac dbbb aaag dbbb eaaac dbbb aaag dbbb eaaac fbbb aaaa fbbbf eaaae fbbbf aaaa fbbbf eaaae fbbbf aaaa bbbd caaae bbbd gaaa bbbdcaaae bbbdgaaa bbbeaaae dbbgaaac dbbaaag dbgaaac dbaaag dgaaac daaag gaaac caaagf eaaabf aaaabf eaaaebf aaaabbd eaaaebbd aaaabbbd f eaaaebbbd d aaaa bbbd db caaae dbbb fbb ea dbbb bbb dbbb dbbb dbbb fbbbb dbbb fbbbbf fbbb bbbbd fbbbf dbbbb fbbbf fbbbbf fbbbf bbbbf fbbbf dbbbd bbbd fbbbb bbbd fbbbbf bbbd bbbbd bbbd dbbbd bbbd fbbbb ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Let's shift our focus to the next area. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#456545ff b,#f63deeff c,#b4c0b4ff d,#f873f2ff e,#f5dbf4ff f,#faa5f6ff g,#7c927cff ``` ```image efdbbbbbbbbf caaae efdbbbbbbbbbbbbb caaac efdbbbbbbbbbbbbddbbbe eaaac efdbbbbbbbbbbbbdfe ebbbd aaag efdbbbbbbbbbbbbdfe dbbb gaaa fdbbbbbbbbbbbbdfe fbbbf caaae bbbbbbbbbbdfe bbbd caaac bbbbbbdfe dbbbe eaaac bbdfe ebbbf aaag e bbbb gaaa fbbbf gaaa ebbbd caaac dbbbe eaaac fbbbf aaag bbbb gaag fbbbe gaaa ebbbd caaae dbbb eaaac fbbbf aaag bbbd gaag dbbbe gaaa ebbbf caaae bbbb caaac fbbbe aaac ebbbd aaag dbbb gaaa fbbbf caaae bbbd caaac fbbbe eaaac ebbbd aaag dbbb gaaa fbbbf caaae bbbd caaac dbbbe eaaac ebbbf aaag bbbb gaaa fbbbe gaaa ebbbd caaa dbbb eaaa fbbbf aaa bbbd ggg dbbbe ebbbf dbbb fbbbf bbbd dbbbe ebbbf bbbb fbbbe ``` <!-- end of image --> No luck this time. Area B doesn't have an intersection. Answer: A: 1; B: 0; 1 + 0 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#456445ff b,#f53eedff c,#cdd5cdff d,#f877f2ff e,#9aa89aff f,#fbbdf8ff g,#6c826bff ``` ```image ca aa caa aaa caaac aacac agcae aa ae aa ae aa ag aa ag ga aa aa aa gac aa aa aa gac aa aa aa eac ga aa ga cceeggaaaaaaac eae ea cceeggaaaaaaaaaaaaaaaaaaaaaaaa aa eaaaaaaaaaaaaaaaaaaaaaaaggeecc aa eae caaaaaaaggeecc eaa aa gag cae aac aa fbb aa bd cag fbbbbbbb aa bd aa fbbbbbbdf bb aa bb cag fbbbbbbdf fbf ea bb aa fbbbbbbdf bb cae bb ag fbbbbbbdf bb ag bb aa fdbbbbbdf bd aa bb aa fbbbdf bb aa bb aa bb dbf ea bb aa bb bb cac db ga dbd bb ag db aa fbb fbd aa fb gac bb bb aa fbf aa bbf db ga fbf eac dbd bb cac bf aa bb bb ag bd eac bb fbf aa bd aa dbd bb aa bb eae fbb bb ga bb aa bb bd cac bb cae bbf bb ae bb aa dbd dbf bb cae bb bb bb aa bb bb bb cag bbf fbf db aa fbb bb db ag bb db db aa bbf bd fb aa dbd bb fbf aa bb fbf fbf aa bb bb bdga bbf bb bdaa fbb fbd bgac bb bb baa bbf db gac dbd bb aa bb bb eab bb fbf aab bbf bb eaeb fbb db aabb bb bd caedb bbf db dbd fb bb fbf bb fbf bbf bf fbb bd bb bd bb bb dbd bb fbb bb bb bbbbf bbbb bbb bb ``` <!-- end of image -->
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This image seems promising for intersection detection. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b636e4ff b,#4ffaeaff c,#e2b0f3ff d,#a4fcf4ff e,#c36ee4ff f,#b1d7b2ff g,#a0cda0ff ``` ```image ggggggggggggggggggggg fffaefffffffffffffffg ffffafffffffffffffffg ffffafffffffffffffffg ffffeeffffffffffffffg fffffaffffffffffffffg fffffaffffffffffffffg ffffffafffffffffffffg ffffffafffffffffffffg ffffffeeffffffffffffg fffffffaffffffffffffg fffffffaffffffffffffg ffffffffafffffffffffg fffbbbbbabbbbbbbbbbbbbbbddddddd ffffffffeeffffffffffgdddddddbbbbbbbbbbbbbbbbbb fffffffffaffffffffffg bb fffffffffaffffffffffg bb ffffffffffafffffffffg bb ffffffffffafffffffffg bb ffffffffffeeffffffffg db fffffffffffaffffffffg db fffffffffffaffffffffg db ffffffffffffafffffffg db ffffffffffffafffffffg db ffffffffffffeeffffffg b fffffffffffffaffffffg b gggggggggggggaggggggg b ca bd a bd ee bd a bd ac bd ca bd a bb ee bb a bb a bb ca bb a bb ee dbbbd a dbbbd a dbbb ca dbb a ec a a ca a ec a a ca a ac a ae a a ea ac a ca ac a ca ae a ca ea ee caaae ac caaaec a ceaaac ea eaaac ac caaae a caaae ca ceaaac ae eaaac a caaae ca caaae eaec ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b637e4ff b,#4afaeaff c,#dba4f2ff d,#cafcf8ff e,#c973ebff f,#eed0f8ff g,#86f6f0ff ``` ```image fc caa aac eae faaf eac caa aac eae faaf eac caa aac eae faaf eac caa aaf eae faaf eac caa aaf eae faaf dbbbbbbbbgaaeggggggdddddddddd dbbbbbbbbbgaabbbbbbbbbbbbbbbbbbbbb dddddddddaacgggggggggbbbbbbbbbbb eae d faa aac caa aaf eae faa aac caa aaf eae faa aac caa aaf eae faa aac caa aaf eae faa aac caa faaf ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b635e4ff b,#4bfaeaff c,#d896f0ff d,#befdf7ff e,#c765eaff f,#eccbf7ff g,#7ffbf0ff ``` ```image f af fa a ce a af fa a ce a af fa bbbbbabbbbbbbbbbbbbgggggddddd ee dddddgggggbbbbbbbbbbbbbbbb a bb af bb fa gb a gb ee gb a gb af db fa db a db ee db a db af bd fa bd a bd ec bd a bg af bg fa bg a bg ec bb a bb af bb fa gb a gbd ec dbbbd a dbbbg af gbbg ca dbb a ec a af ca a ec a a ca a ec a ee af fa ea af a ca ac a fa ae af fa ea ee caaac af caaaef a feaaef ca eaaac ac caaac a caaaef ca feaaef ac feaaac a caaac fa caaaef eaef ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#70cb4aff b,#cb63ceff c,#42be0aff d,#b1d7b1ff e,#96cc93ff f,#d11dd7ff g,#eda8f0ff ``` ```image dc ec ea aa aa ca c c c c c c c c c b c f c b c f c bg c f c gg c f c gg a f a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeed a edddddddddddddddddddddddddddddfdddddddde a edddddddddddddddddddddddddddddbdddddddde a eddddddddddddddddddddddddddddfddddddddde e eddddddddddddddddddddddddddddfdddddcddde ed edddddddddddddddddddddddddddfdddddecddde ed edddddddddddddddddddddddddddfdddddcdddde dd eddddddddddddddddddddddddddfdddddeadddde dd eddddddddddddddddddddddddddfdddddcddddde de edddddddddddddddddddddddddbdddddeaddddde de edddddddddddddddddddddddddfdddddcdddddde e eddddddddddddddddddddddddbbddddeadddddde a eddddddddddddddddddddddddfdddddcddddddde a edddddddddddddddddddddddbbddddaaddddddde a edddddddddddddddddddddddfdddddcdddddddde a edddddddddddddddddddddddbddddaedddddddde cc eddddddddddddddddddddddfdddddcddddddddde acd eddddddddddddddddddddddbddddaeddddddddde eca edddddddddddddddddddddfdddddcdddddddddde dcc edddddddddddddddddddddfddddaedddddddddde acd eddddddddddddddddddddfdddddcddddddddddde eca eddddddddddddddddddddfddddceddddddddddde cc edddddddddddddddddddfdddddcdddddddddddde acd edddddddddddddddddddfddddcddddddddddddde eca eddddddddddddddddddbdddddcddddddddddddde cc eddddddddddddddddddfddddcdddddddddddddde fb ace edddddddddddddddddbdddddcdddddddddddddde fg dca edddddddddddddddddfddddcddddddddddddddde gfg ccd eddddddddddddddddbbdddecddddddddddddddde bf ace eddddddddddddddddfddddcdddddddddddddddde fb dca edddddddddddddddbbdddeadddddddddddddddde fg ccd edddddddddddddddfddddcddddddddddddddddde gfg ac edddddddddddddddbdddeaddddddddddddddddde bf cc eddddddddddddddfddddcdddddddddddddddddde fb caddddddddddddddfdddaadddddddddddddddddde gfg acddddddddddddfddddcddddddddddddddddddde gfg edccddddddddddfdddaaddddddddddddddddddde bf eddecedddddddfddddcdddddddddddddddddddde fb eddddacddddddfdddaedddddddddddddddddddde gfg eddddddcadddbddddcddddddddddddddddddddde gf edddddddecedfdddaeddddddddddddddddddddde bf edddddddddabddddcdddddddddddddddddddddde fb eddddddddddfcadcedddddddddddddddddddddde gfg edddddddddbbdeccddddddddddddddddddddddde gf edddddddddfdddddddddddddddddddddddddddde bf eddddddddbbdddddddddddddddddddddddddddde fb eddddddddfddddddddddddddddddddddddddddde gfg eddddddddbddddddddddddddddddddddddddddde gf edddddddfdddddddddddddddddddddddddddddde ff edddddddbdddddddddddddddddddddddddddddde fbeddddddfddddddddddddddddddddddddddddddde gfbdddddfddddddddddddddddddddddddddddddde ebfdddfdddddddddddddddddddddddddddddddde eddffdfdddddddddddddddddddddddddddddddde eddddfddddddddddddddddddddddddddddddddde edddddddddddddddddddddddddddddddddddddde ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#6dcd41ff b,#e26ee6ff c,#41be07ff d,#9cdc7eff e,#d1eec3ff f,#d320d8ff g,#f0b7f2ff ``` ```image bf gfb bfg gfb bfg fb bfg ff bfg ff cd gfg dce ff ca gfb dce ff eca gfb ace ff eca gfb ace bf eca gfb ace bfg eca fb ace bfg ecd ff ac bfg ecd ff ac bfg dcd ff cc gfg dcd ff cc gfb dcd ff cc gfb dce bf ca gfb dce bfg eca gfb dce bfg eca fb ace bfg eca ff ace bfg eca ff ace gfg ecd ff ac gfb ecd ff ac gfb dcd bf cc gfb dcd bfg cc gfb dcd bfg cc fb dcd bfg ca ff dce bfg eca ff dce gfg eca ff ace gfb eca ff ace gfb eca ff ace gfb ecd bf ace gfb ecd bfg ac fb ecd bfg cc cd ff dcd ccae bfg cc dccd ff dcd eaccd bfg cc eccae ff dcd dccd gfg ca eacce ff dce dccae gfb ca dccd ff dce eacce gfb eca dccae bf ace accd gfb eca eacae bfg ace dccagfb eca eacffg ace effae eca bfdcca ace ff eaccdecd bfg ecccc ff dcd gfg ff gfb ff gfb bf gfb bfg gfb bfg fb bfg ff fb bfg fffg ff gfffg gfg bffb ff bffb gfb gfffg ff gffffb bff g ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#76d04dff b,#db52deff c,#42be09ff d,#b1e49aff e,#ece3e8ff f,#d31bd9ff g,#ea94ecff ``` ```image dc dc aa aa aa ca c c c c c c c c c b c f c be c f c be c f c gg c f c gg a f a eb a f a eb ae f de f c de f ea dd f c dd be ea dd f c dd be da ed f c ea gg dd ea f c a gg dd a f c a eg dd cc f c acd eb ad dca f c ecce b ae acd f c dca f ae ecce b c acd f c dca be c ecce f c fb acd ge ec efg dca f c gfe ecce gg ea bf acd f c fb dca gg ea efg ecce f c gfe ace eb da bf cc f c fb ecd b dd efg dce f c gfe ca f dd bf ecd f c fb ac f ad efg ca be c gfe dcd f ae bf abe c fb fca ae efg gg dcc gfe f bf gg fb f efg eb gfe f bf eb fb f efg f gfe f bf f fe ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#6446c5ff b,#022fdaff c,#bfbfeeff d,#3255dcff e,#b1d7b1ff f,#7982d6ff g,#95c69bff ``` ```image cdb dbbbbc fbbbbbdbf fbbbbbf fbf cbbbbbd cbd cbbbbbbc cbb dbbbbbc bb geeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbbbf bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbbbf bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg cbbbbbd bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg cbbbbbdc bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg cdbbbbbc bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg dbbbbbf bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbbbf bbc eeeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbbbd dbc eeeeeeeeeeeeeeeeeeeeeeeeeeeeg cbbbbbd dbf eeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbbbc fbf eeeeeeeeeeeeeeeeeeeeeeefbbbbbbbc cbd eeeeeeeeeeeeeeeeeeeddbbbbbbdf cbb eeeeeeeeeeeeeeeeeebaabbdgeeeg bb eeeeeeeeeeeeeeeeedaaageeeeeeg bb eeeeeeeeeeeeeeeedaaaafeeeeeeg bb eeeeeeeeeeeeeeefaafeaaeeeeeeg bb eeeeeeeeeeeeeefaafeeaaeeeeeeg bb eeeeeeeeeeeeefaadeeeaaeeeeeeg bb eeeeeeeeeeeefaadeeeeaaeeeeeeg bb eeeeeeeeeeeaaabeeeeefafeeeeeg bb eeeeeeeeeeaaabeeeeeegaaeeeeeg dbc eeeeeeeeeaaabgeeeeeeeaaeeeeeg dbf eeeeeeeeaaabfeeeeeeeeaaeeeeeg fbf eeeeeeeaaabdeeeeeeeeeaaeeeeeg fbd eeeeeeaaabbeeeeeeeeeeaageeeeg cbd eeeeeaaabbeeeeeeeeeeefafeeeeg bb eeeeaaabbeeeeeeeeeeeegaaeeeeg bb eeeaaabbgeeeeeeeeeeeeeaaeeeeg bb eeaaabbfeeeeeeeeeeeeeeaaeeeeg bb gaaabbdeeeeeeeeeeeeeeeaaeeeeg bb caaabbbeeeeeeeeeeeeeeeeaafeeeg bb caaadbbeeeeeeeeeeeeeeeeefaaeeeg bb affbbeeeeeeeeeeeeeeeeeeeaaeeeg bb gbbgeeeeeeeeeeeeeeeeeeeaaeeeg bbc bbfeeeeeeeeeeeeeeeeeeeeaaeeeg dbc bbdeeeeeeeeeeeeeeeeeeeeeaageeg fbf dbbggggggggggggggggggggggfafgge fbd f caa cbd aa cbb aa bb aa bb fac bb caf bb aa bb aa bb aa bb aa bbc fac dbc caa fbf aa fbf aa cbd aa c aac cac caf aaa caa aaaa aa faffaa aa aa aaa aa aa aaa fac aac aaa caac aa aaa aaaaac caa aaa caaaaaac aac aaa caaaaaac aa aaf caaaaaac faf aaf caaaaaac aa aaf caaaaaac aa caac caaaaaac faf caac caaaaaaaa caac caaaaa faa ca faa faa aaa aaa a ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#6245c5ff b,#0330daff c,#b4b2eaff d,#344cdaff e,#7368d4ff f,#8f88ddff g,#dddcf5ff ``` ```image gc cfdbbb gcfdbbbbbbb gcedbbbbbbbbbbb ceddbbbbbbbbbbbbbd fbaaadbbbbbbbbdfcg cbaaaaabbbbdfc gbaaaaaaecg gdaaaaaaac daaaaaaaac eaaaaaaaaaf eaaaaafcaaae faaaaaf gaaaa faaaaaf aaaag faaaaaf eaaac faaaaae faaaf faaaaad caaae faaaaad gaaaa faaaaadg aaaag eaaaaabc eaaac eaaaaabc faaac geaaaaabe caaaf geaaaaabd caaae geaaaaabdg gaaaa gaaaaaabbg aaaag gaaaaaabbc eaaac gaaaaaabbf faaaf gaaaaaabbe caaae caaaaadbbd gaaaa caaaaadbbdg gaaaag caaaaadbbbg aaaag caaaaadbbbc faaac caaaaadbbbf faaaf faaaaadbbbe caaae faaaaadbbbd gaaaa faaaaadbbbdg aaaag faaaaadbbbbg eaaac faaaaadbbbbc faaac eaaaaadbbbbf caaaf eaaaaadbbbbe gaaae geaaaaaebbbbd gaaaa geaaaaefbbbbdg aaaag geaaaaecbbbbbg eaaac aaaaaegbbbbbc faaaf aaaaegdbbbbf caaae aaae dbbbbe gaaaa aaf fbbbbd aaaag ef cbbbbbg eaaac g gbbbbbg faaac gbbbbbc caaaf dbbbbf caaae ebbbbd gaaaa bbbbd aaaag bbbbg eaaac ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#6446c5ff b,#0330daff c,#9da2e8ff d,#3d5ee2ff e,#c3c1eeff f,#7e7dddff g,#e4e4f7ff ``` ```image gbb gdbbbbc fbbbbbbbf cbbbbbd fbf cbbbbbdg cbd ebbbbbbe ebb gdbbbbbc gbb dbbbbbc bb fbbbbbf bb cbbbbbdg bb ebbbbbdg bb gdbbbbbe bb dbbbbbc bb fbbbbbf bbg cbbbbbd dbe ebbbbbdg dbc cbbbbbbe fbf gfbbbbbbbc cbd dbbbbbbbdc ebb baabbde gbb daaae bb daaaaf bb faafgaa bb caaf aa bb faad aa bb faab aag bb faab fac bbg aaab eaa bbe aaabg aa dbc aaabc aa fbf aaabd aa cbd aaabb aae ebb aaabb caf gbb aaabb gaa bb aaabbe aa bb aaabbf aa bb gaaabbd aag bb gaaabbb fae bb gaafdbb eaf bb gaffbb aa bbg gebbe aa bbe bbf aa dbc bbd aag fbf dbb cac cbd c eaa ebd aa gbb aa bb aa bb fae bb caf bb gaa bb aa bb aa bb aag bbe fac dbc eaa dbf aa fbd aa cbd aa geg aae eag caf aaag gaa aaaag aa faffaa aa aa aaa aag gaa aaa fac aac aaa eaae aa aaa aaaaae eaa aaa eaaaaaae aae aaa eaaaaaae aa aaf eaaaaaae caf gaaf eaaaaaae aag gaac eaaaaaae gaa eaac eaaaaaae fac eaae eaaaaaaaa caag eaaaaa caag eag faag faa aaa aaa a ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5542cff b,#b3d4b1ff c,#bf8462ff d,#f1f2edff e,#dbac99ff f,#99c694ff g,#dcdccfff ``` ```image dgbd dggbbbbbbbg dgbbbbbbbbbgg dgbbbbbbbbbgd dggbbbbbbbbbgd dgbbbbbbbbbgg dgbbbbbbbbbgd ggbbbbbbbbbgd bbbbbgg gbd bb bg gb bb dbd bb bb gb bb bg bb bb gae dbd aa bb dac bg aa gb aa bb cad dbg aa bb cad bb aa gbd eag bb aa bg dfcacffffffffffffffbbfffb dbbaabbbbbbbbbbbbbbbbbbbf dbbfacbbbbbbbbbbbbbbbbbbf dbbbaabbbbbbbbbbbbbbbbbbf dbbbbacbbbbbbbbbbbbbbbbbf dbbbbaabbbbbbbbbbbbbbbbbf dbbbbbaabbbbbbbbbbbbbbbbf dbbbbbaabbbbbbbbbbbbbbbbf dbbbbbbaabbbbbbbbbbbbbbbf dbbbbbbcabbbbbbbbbbbbbbbf ac dbbbbbbbaabbbbbbbbbbbbbbf caa dbbbbbbbcafbbbbbbbbbbbbbf aaad dbbbbbbbbaabbbbbbbbbbbbbf eadac dbbbbbbbbcacbbbbbbbbbbbbf aa aa dbbbbbbbbbaabbbbbbbbbbbbf eag ead dbbbbbbbbbfafbbbbbbbbbbbf aa ac ead dbbbbbbbbbbabbbbbbbbbbbbf gae aa aaag dbbbbbbbbbbbbcbbbbbbbbbbf aa ead cadaae dbbbbbbbbbbbcabbbbbbbbbbf gae ac dac aac dbbbbbbbbbbbbaabbbbbbbbbf aa aa aa aaa dbbbbbbbbbbbbaabbbbbbbbbfdac ead eae caa dbbbbbbbbbbbbbaabbbbbbbbfaa ac aa eaa dbbbbbbbbbbbbbcabbbbbbbbfac aa cad gaad dbbbbbbbbbbbbbbaabbbbbbbaa ead daa daag dbbbbbbbbbbbbbbcafbbbbbbaa ac aa aae dbbbbbbbbbbbbbbbaabbbbbcad aa gae aac dbbbbbbbbbbbbbbbcafbbbbaa ead aa aaa dbbbbbbbbbbbbbbbbaabbbcaf ac cag caa dbbbbbbbbbbbbbbbbfacbbaaf aa aa eac dbbbbbbbbbbbbbbbbbaabcaff ead aa g dbbbbbbbbbbbbbbbbbfacaabf ac gac dbbbbbbbbbbbbbbbbbbaaacbf aa aa dbbbbbbbbbbbbbbbbbbbaabbf ead cag dbbbbbbbbbbbbbbbbbbbcfbbf ac aa dbbfffffffffffffffffffffb aa aa bb ead gac dbb ac aa bb aa eae gbd ead aa bb ac aad bb aa dac dbg ead aa ac eae aa aa eaaad aac aa ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5532bff b,#b9c9b3ff c,#ce9278ff d,#eeece6ff e,#deb4a2ff f,#bf6e4cff g,#dad9ccff ``` ```image faaf dbbbd eaaae gbbb faaf bbbg eaaae dbbbd faaad bbbg gaaac dbbbd caaad gbbb daaac bbbg caaad dbbbd daaac gbbb caaag bbbg daaaf gbbb eaaag bbbg faaf dbbbd eaaae gbbb faaf bbbg eaaae dbbbd faaad gbbb gaaac bbbg caaad gbbb gaaac bbbg caaad gbbbd daaac dbbbg caaag bbbbd daaaf dbbbg eaaag bbbb aaaf gbbbd eaaae dbbbg faaf bbbb eaaae dbbbg faaadbbbb gaaabbbbd fafbbbg gabbbb cbbbg bbbbc gbbbfag dbbbcaaf bbbbeaaag gbbbd aaaf dbbbb eaaae gbbbd faaf dbbbg eaaae bbbb faaa gbbbd gaaae dbbbg faaad gbbbd gaaac dbbbg caaad bbbb daaac gbbbd caaag dbbbg daaaf g gbbbd eaaag c dbbbg daaaf da bbbb eaaae ca gbbbd faaf daa dbbbg eaaae caa bbbb faaa daaa dbbbg gaaae eaaa bbbb faaad faaf gbbbd gaaac eaaag dbbbg caaad faaf bbbb daaaceaaae gbbbg caaafaaf bbbb daaaaaae gbbbd caaaaa dbbbg daaaae bbbb eaaad gbbbd cfg ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b5532aff b,#b9c9b3ff c,#cb896eff d,#efece6ff e,#dcaf9dff f,#c06d4bff g,#d9d8cbff ``` ```image dgbd dgbbbbbbbg dgbbbbbbbbbgd dgbbbbbbbbbgd dgbbbbbbbbbgd dgbbbbbbbbbgd dgbbbbbbbbbgd dgbbbbbbbbbgd bbbbbgd gb bb bg gb bb dbd bb bb gb bb bg bb bb dac dbd aa bb dac bg aa gb af bb fa bg aa bb cad bb aa dbd eag bb aa bg eae gb aa bb gae dbd aa bb dac bb aa gb af bb fa bg aa gb cad bb ac aa gbd caa cag bb aaa aa bb cadac eae dbg aa aa aa bb eag ead gabbd aa ac ead abb gae aa aaag bbc aa ead fadaae dbca dae ac daf aac bbdaf aa aa aa faf gbd fa dac ead eae caa bb aa aa ac aa eaa bb cad af aa fad gaad dbg aa fa ead af daag bb cag af ac aa aae gbd aa cad aa gac aac bb eae aa ead aa faf bb aa ead ac cag caa dbg gae aa aa aa eac bb aa eag ead aa g bb dacaa af gac bb aaae aa aa bb daa ead cag gbd cg af aa bb aa aa bb ead dac dbg af aa bb aa eae gbd ead aa bb af fad bb aa daf dbg ead aa af eae aa aa eafad aaf aa ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#ccb3f7ff b,#6617e9ff c,#d4a45dff d,#ead4b2ff e,#9366e7ff f,#b0d6b1ff g,#9bc894ff ``` ```image aba bb bb eba be bb eb abe bb bb aba bb bb eba be bb abb eb ebbbb abe ebbbeeb bb ebbbe aba bb ebbba bb aba ebbba bb bb ebbba bb bb bbbba aba eba bbbba be be bbbba bb bb bbbb bb eb abbbb eb abe abbbb abe bb abbbb bb bb abbbe bb fgebeggggggggggg abbbe eb gffbbfffffffffff abbbe aba gffbbfffffffffff ebbbe bb gffebfffffffffff ebbbe bb gfffbbffffffffff ebbbe bb gfffbbffffffffffebbba aba gfffbbffffffffbbbba be gffffbefffffbbbba bb gffffbbfffbbbbff bb d gffffbbfbbbbffff eb ccd gffffebbbbffffff abe ccccd gfffffbbffffffff bb dccccfffffffffffffff bb dccccfffffffffffff eb gccccfffffffffff aba gfgccccfffffffff bb gffffccccfffffff bb fggggggccccggggg bb ccccd aba ccccd be dcccd bb dcccd bb dcccc eb dcccc abe dcccc bb cccc bb ccccd eb ccccd aba ccccd bb dcccd bb dcccc bb dcccc eba dcccc gffffffffbefffffff cccc gffffffffbbfffffff ccccd gffffffffbbfffffff ccccd gffffffffebfffffff ccccc gfffffffffbeffffff dccccd gfffffffffbbffffff ccccc gfffffffffbbffffff dccccdgfffffffffbbffffff cccccffffffffebefffff dccccgffffffbbfffff gfcccccffffbbfffff gfffgccccgfbbfffff gffffffcccccbfffff gffffffffgccccgfff gfffffffffffccgfff gfffffffffffbbffff gfffffffffffebffff gffffffffffffbefff gffffffffffffeffff gfffffffffffffffff gfffffffffffffffff ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#b690f4ff b,#6617eaff c,#d4a35bff d,#efdec4ff e,#8e54efff f,#dccbf9ff g,#e1bf8dff ``` ```image abbba fbbbe ebbb abbbf fbbba bbbb ebbbf fbbba bbbe ebbb abbba fbbbe f ebbb feb abbbf febbb fbbba aebbbbb bbbb abbbbbbbe ebbbf abbbbbbbef fbbba abbbbbbbef bbbe abbbbbbbef ebbbbbbbbbbef abbbbbbbbef fbbbbbbaf ebbba aa cg cccg cccccgd cccccccgd dcccccccgd dccccccccd dgcccccccd dgcccccccd dgcccccccg gcccccccg ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Moving on to the next area. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#c1a0f3ff b,#6718e9ff c,#d4a35cff d,#e6cba2ff e,#9761f0ff f,#eaddebff g,#ab719aff ``` ```image fbbba bbbe ebbb ebbbf abbba fbbbe bbbb ebbbf abbba fbbbe bbbe ebbb abbbf fbbba bbbe ebbb df ebbbf cccd abbba cccccdf fbbbe ccccccccd bbbb fdccccccccdf ebbbf dcccccccccd abbba fdccccccccdf fbbbe dcccccccccd bbbe fdccccccccdfebbb dcccccccccgbbf fdccccccccga dcccccccccd fdccccccc gccccd abbgc fbbbe bbbb ebbbf abbba fbbbe bbbe aaf ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area B. Answer: A: 0; B: 1; 0 + 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c0a0f6ff b,#6516e9ff c,#d4a45dff d,#e9d1afff e,#a272f1ff f,#e4d6f6ff g,#8242edff ``` ```image fba bb bb ebf bg bb gb fbe bb bb aba bb bb ebf bg bb abg gb abbbb fbe ebbbegb bb ebbbe aba bb ebbba bg aba gbbba bb bb gbbba bb bb gbbba abf ebf bbbbf bg bg bbbbf bb bb fbbbbf bb gb fbbbb ebf fbe fbbbb fbe bb fbbbg bb bb abbbg bb aba abbbg gb bb abbbe aba bb ebbbe bg ebf ebbbe bb bg ebbbe bb bb gbbba abf gb gbbba bg fbe gbbba bb bb gbbbf bb f bb bbbbf ebf ccd abbbbf fbe ccccd bbf bb dcccd bb dcccd gb dcccc aba dcccc bg fcccc bb ccccf bb ccccd abf ccccd bg dcccd bb dcccd bb dcccc ebf dcccc fbe fcccc bb cccc bb ccccd gb ccccd aba ccccd bg dcccd bb dcccc bb dcccc abf dcccc bg cccc bb ccccf bb ccccd ebf ccccc fbe dccccd bb ccccc bb dccccd gb ccccc aba dccccd bg ccccc bb dccccd bb cccccbf dccccd ccd bb ebf fbe a ``` <!-- end of image -->
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This image seems promising for intersection detection. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#5beac6ff b,#fbb9e7ff c,#87e8cbff d,#bbf4e6ff e,#eff4f2ff f,#b1d7b1ff g,#95ca96ff ``` ```image ec aaa aaae gggaaaggggggggggggggf fffaaaffffffffffffffg fffaaaffffffffffffffg fffcaacfffffffffffffg ffffaaafffffffffffffg ffffaaafffffffffffffg ffffaaafffffffffffffg ffffcaacffffffffffffg fffffaaaffffffffffffg fffffaaaffffffffffffg fffffaaacfffffffffffg ffffffaaafbbffffffffg ffffffaaabbbffffffffg ffffffaabbbbffffffffg ffffffccbbbbbfffffffg fffffffbbbbbbfffffffg ffffffbbbbbbbfffffffg ffffffbbbabbbfffffffg bb fffffbbbfafbbbffffffg ebbbbbbbb ffffbbbbaaabbbffffffg ebbbbbbbbbbbbbb ffffbbbfaaabbbffffffg ebbbbbbbbbbbbbbbebbbbe fffbbbffcaabbbffffffgebbbbbbbbbbbbbbbe bbbbb ffbbbbfffaabbbffbbbbbbbbbbbbbbbbe bbbbb ffbbbffffaacbbbbbbbbbbbbbbb bbbbb fffbfffffaaabbbbbbbbbe ebbbb ffffffffffaabbbbffffg bbbbe ffffffffffaaafffffffg bbbbb ffffffffffaaafffffffg bbbbb ffffffffffcaacffffffg bbbbb fffffffffffaaaffffffg ebbbb fggggggggggggggggggggggggf fffffffffffaaaffffffg bbbb gffffffffffffffffffffbfffg fffffffffffaaaffffffg bbbbegfffffffffffffffffffbbbffg ffffffffffffaaafffffg bbbbbffffffffffffffffffbbbbffg ffffffffffffaaafffffg bbbbbffffffffffffffffbbbbaffg ffffffffffffaaafffffg ebbbbffffffffffffffbbbbaacfg eeeeeeeeeeeecaaceeeee ebbbbffffffffffffbbbbaacffg aaa gbbbbffffffffffbbbbcacfffg aaa gfbbbbbfffffffbbbbcafffffg aaad gffbbbbbfffffbbbbfaffffffg daac gfffbbbbbffffbbbdafffffffg aaa gfffffbbbbffbbbbaffffffffg aaa gffffffbbbbbbbbcfffffffffg caad gfffffffbbbbbbcffffffffffg aaa gffffffffbbbbffffffffffffg aaa gffffffcaafbfffffffffffffg aaae gfffffcaaaaffffffffffffffg daac gffffaaaaafffffffffffffffg aaa gfffaaaacffffffffffffffffg aaa gffaaaacfffffffffffffffffg caad gfaaaafffffffffffffffffffg eaaa gaaaaffffffffffffffffffffg aaa caaaafffffffffffffffffffffg aaae aaaaaffffffffffffffffffffffg daac aaaacfffffffffffffffffffffffg aaa aaaagffffffffffffffffffffffffg aaa eaaaaeeeeeeeeeeeeeeeeeeeeeeeeeee caad daaaa eaaa caaaa aaa aaaaa aaae aaaac daac aaaad aaa eaaaae aaa daaaa caad caaaa eaaa aaaaa aaa aaaac aaae aaaad daac eaaaae aaa daaaa aaa caaaa caad aaaaa eaaa aaaac aaa aaaad aaae eaaaae daac daaaa aaae caaaa aaaaaaaaaaaa caaaaaaaaac ddcaaaaad ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5aeac6ff b,#fcb8e8ff c,#81ead1ff d,#aef4e2ff e,#dafaf2ff f,#fdddf3ff g,#c0ccdbff ``` ```image daaaaac eaaaaaa caaaaae daaaaad eaaaaac aaaaaae caaaaad daaaaac eaaaaaa caaaaae daaaaad eaaaaac aaaaaae caaaaad daaaaac eaaaaaa caaaaae daaaaad eaaaaac aaaaaae caaaaad daaaaac eaaaaaa bbbf aaaaaaebbbbbf daaaaagbbbbbb eaaaacbbbbbbb aaaabbbbbbbbf caagbbbbbbbbf dacbbbbbbbbbf eabbbbbbbbbbb gbbbbbbbbbbb fbbbbbbbbbbbbf bbbbbbbgbbbbbf fbbbbbbgcbbbbbb fbbbbbbgaabbbbbb bbbbbbbcaabbbbbbf fbbbbbbgaaagbbbbbf fbbbbbbgaaaacbbbbbb bbbbbbbdaaaaabbbbbb fbbbbbbfdaaaaabbbbbb fbbbbbbb aaaaagbbbbbf bbbbbbb caaaacbbbbbf fbbbbbbf daaaacbbbbbb fbbbbbbb eaaaaabbbbbb ffb bbbbbbb aaaaagbbbbbf ffbbbbbb fbbbbbbf caaaagbbbbbbbbbbbbbbbb bbbbbbb daaaacbbbbbbbbbbbbbbbb fbbbb aaaaabbbbbbbbbbbbbbbb bbf caaaabbbbbbbbbbbbbbbb f daaaagbbbbbbbbbbbbfff eaaaaabbbbbbbff aaaaaafff caaaaad daaaaac eaaaaaa caaaaae daaaaad eaaaaaa aaaaaae caaaaad daaaaac eaaaaaa caaaaae daaaaad eaaaaac aaaaaae caaaaad daaaaac ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Let's shift our focus 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,#5aeac6ff b,#fcb8e8ff c,#9de9daff d,#d1f9eeff e,#75eacdff f,#fdddf3ff g,#d5c3dfff ``` ```image b bbbf bbbbbf fbbbbbbf fbbbbbbbf b fbbbbbbbf bb fbbbbbbbf bbbf fbbbbbbbge bbbbf fbbbbbbbgaae bbbbbf fbbbbbbbgaaaac bbbbbbb bbbbbbbgaaaae bbbbbbbb bbbbbbbgeaaac bbbbbbbbbf bbbbbbbbeaaac bbbbbbbbbf bbbbbbbbeaaad fbbbbbbbbf bbbbbbbbeaaad fbbbbbbbbf fbbbbbbbcaaed fbbbbbbbbb fbbbbbbbcaae bbbbbbbbb fbbbbbbbcaac bbbbbbbbbf fbbbbbbbgaac fbbbbbbbbf fbbbbbbbgaad fbbbbbbbbf fbbbbbbbgaad fbbbbbbbbb bbbbbbbgaed bbbbbbbbbfbbbbbbbgae bbbbbbbbbbbbbbbbec fbbbbbbbbbbbbbec fbbbbbbbbbbbed fbbbbbbbbbcd dcbbbbbbbcd daaegbbbbc daaaaacggc caaaaaaaac caaaaaaaad eaaaaaaaad deaaaaaaaed daaaaaaaae daaaaaaaac caaaaaaaac caaaaaaaad eaaaaaaaad deaaaaaaaed daaaaaaaae daaaaaaaac aaaaaaaac aaaaaaad aaaaaad aaaaed aaae aac ac ``` <!-- end of image --> There is no intersection present within area B. Answer: A: 1; B: 0; 1 + 0 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#5bebc6ff b,#fcb8e8ff c,#8ceed6ff d,#baf6e7ff e,#e2fbf4ff f,#fdddf3ff g,#bfcadaff ``` ```image ec aaa aaae daac aaa aaa caad eaaa aaa aaae daac aaa aaa caad eaaa bf aaabbb aabbbbf dcbbbbf bbbbbb bbbbbbb fbbbabbb ff bbbgagbbf ffbbbbbbb bbbbaaabbb fbbbbbbbbbbbbbb fbbb aaabbb fbbbbbbbbbbbbbbbfbbbbf bbbf daabbb fbbbbbbbbbbbbbbbf bbbbf bbbb aagbbf fbbbbbbbbbbbbbbff bbbbb bbb aacbbbbbbbbbbbbbbf fbbbb bf caabbbbbbbbbf fbbbb eaabbbbf bbbbf aaa bbbbf aaa bbbbb daac bbbbb aaa fbbbb aaa bbbb bf caad bbbbf bbbf eaaa bbbbb bbbb aaa bbbbb bbbba aaa fbbbb bbbbaac caac fbbbb bbbbaac aaa bbbbf bbbbcad aaa bbbbf fbbbcae aaae bbbbb fbbbga daac fbbbb fbbbga aaa fbbbb bbbga aaa bbbbbbbbc caad bbbbbbd aaa ebbbbe aaa daagg aaae caaaa daac aaaaa aaa aaaac aaa aaaad caad eaaaae eaaa daaaa aaa caaaa aaae aaaaa daac aaaac aaa aaaad aaa eaaaae caad daaaa eaaa caaaa aaa aaaaa aaae aaaac daac aaaad aaa eaaaae aaa daaaa caad caaaa eaaa aaaaa aaa aaaac aaae aaaad daac eaaaae aaa daaaa aaa caaaa caad aaaaa eaaa aaaac aaa aaaad aaae eaaaae daac daaaa aaae caaaa aaaaaaaaaaaa caaaaaaaaac dccaaaaad ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#ab32a9ff b,#c29ef2ff c,#bc6fbbff d,#d9aedeff e,#f0e9f2ff f,#b1d7b1ff g,#96c996ff ``` ```image ac aa aa daa caa aaa aaae aaad aaad eaaad dacac cadac aaeaa aa aa aa aa eaa aa dac aa cad aa aa aa aa aa aa aa aa aae dac cae dac cad cad aaad aae dad daaaad aa dac aaedaae aa eac daa daae aa eaa aae caa eaa aa daa caa dac aa aae aaa cae aa daa aaa aa aa aae aac aa aa daa aac aa aa aae eaad aa aa eeeeeeeeeeeeeeeeeedaaee eaae dac aa egfffffffffffffffffaagffg daae cad aae effffffffffffffffffaafffg caa aa cae be efffffffffffffffffaaffffg caa aa cad dbbb efffffffffffffffffaaffffg aaa aa dad bbbd effffffffffffffffaagffffg aaa aa dac dbbb effffffffffffffffaafffffg aac eac eac bbbd efffffffffffffffaacfffffg aac dad eaa ebbbefffffffffffffffaaffffffg eaad aae aa bbbbfffffffffffffaacffffffg eaad aa aa ebbbffffffffffffaafffffffg daae aa aa ebbbbfffffffffaacfffffffg daa aa aa effbbbdfffffffaaffffffffg caa eaa aa efffdbbbfffffaacffffffffg aaa dac aa efffffbbbbfffaafffffffffg aaa cad aa effffffdbbbfaacfffffffffg aaa aa aa dac effffffffbbbaaffffffffffg aac aa aae aa effffffffffaacffffffffffg aad aa cae aa effffffffffaabbbffffffffg eaad aa cad cad efffffffffaacfbbbdffffffg daaedac dad eaa efffffffffaafffbbbbfffffg daacad dac aa effffffffaacfffffbbbdfffg caaae eac aae effffffffaafffffffdbbbffg caa eaa dac efffffffaacfffffffffbbbbg aa aa aa efffffffaaffffffffffffbbbe aa aa effffffcacfffffffffffffbbbb aa cad effffffaafffffffffffffffgbbbe aa eaa efffffcacfffffffffffffffg dbbb fgggggggggggggaagggg aa efffffaaffffffffffffffffg bbbd gfffffffffffffaaffff aae effffcacffffffffffffffffg dbbb gfffffffffffffaaffff dac effffaafffffffffffffffffg bbbd gfffffffffffffaaffff aa efffcaafffffffffffffffffg ebbbe gfffffffffffffaaffff aa efffaaffffffffffffffffffg bbbb gfffffffffffffaaffff cad effcaaffffffffffffffffffg ebbbe gfffffffffffffcacfff eaa ggaagggggggggggggggggggf bbbb gfffffffffffffcacfff aa caa ebbbe gfffffffffffffcacfff aae aa dbbb gfffffffffffffbaafff dac daa bbbd gfffffffffffbbbbffff aa aa ebbbe gfffffffffbbbbffffff aa daa bbbb gfffffffbbbbffffffff cadaa ebbbe gfffffbbbbffffffffff eaaaa bbbb gfffbbbbffffffffffff aaae ebbbe gfbbbbffffffffffffff aaa dbbbbbbbffffffffffffffff eae bbbbffffffffffffffffff egfffffffffffffffffff gfffffffffffffffffff gfffffffffffffffffff ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ab30a9ff b,#c29ef3ff c,#c675c6ff d,#dcbeeeff e,#eddef5ff f,#d599d5ff g,#b957baff ``` ```image caaac eaaaae caaac eaaaad caaag eaaaad caaag eaaaad caaag eaaaad caaag eaaaad caaag eaaaad caaag eaaaad d faaag bbe eaaaad bbbd faaag bbbbbe eaaaaf bbbbbbd faaag ebbbbbbbe aaaaf ebbbbbbde faaag dbbbbbbd aaaaf ebbbbbbbe faaaa dbbbbbbd aaaaf ebbbbbbbe faaaa dbbbbbbd aaaaf ebbbbbbbe faaaa ebbbbbbd aaaaf dbbbbbbfaaaa ebbbbbaaaaf dbbcaaaae ebaaaagbe faaaabbbd gaaagbbbbbe daaaadbbbbbbd gaaaf edbbbbbbe daaaae ebbbbbbbe gaaac dbbbbbbd daaaae ebbbbbbbe gaaac dbbbbbbd daaaae ebbbbbbbe gaaac dbbbbbbd daaaae ebbbbbbbe gaaac ebbbbbbd daaaae dbbbbb gaaac ebbbb daaaae dbb gaaac eb daaaae caaac eaaaae caaac eaaaae caaag eaaaad caaag eaaaad caaag eaaaad caaag eaaaad caaag eaaaad caaag ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Onward to the next region of interest. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ab30a9ff b,#c29df2ff c,#ca81ccff d,#d6bcf5ff e,#eee3f9ff f,#ddacdcff g,#b958bbff ``` ```image faaac faaac faaac daaag eaaag eaaag aaaa aaaa aaaae gaaae gaaae gaaad caaaf caaaf caaaf faaac faaac faaac dcaaag edbbbaaage edbbbbbbbbe edbbbbbbbbe edbbbbbbbbe edbbbbbbbde edbbbbbbbde edbbbbbbbde edbbbbbbbde edbbbbbbbde ebbbbbbbbde ebbbbbbbbde ebbbbbbbbde ebbbbbbbbde bbbbbbbd bbbbbd bbbd bd ``` <!-- end of image --> I don't observe any intersections inside area B. Answer: A: 1; B: 0; 1 + 0 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ab31a9ff b,#c29ef3ff c,#c87bc8ff d,#e2c5ecff e,#f1e4f7ff f,#d8a1d7ff g,#bb5bbaff ``` ```image ag aa aa daa caa aaa aaae aaad aaaf daaaf fagac gafag aa aa aa aa aa aa eaa aa fac aa gad aa aa aa aa aa aa aa aa gae dag gad fag caf caf aaaf aae faf faaaad aa dac aaedaae aa dag faa faa aa eaa aae caa eag aa daa gaa fac aa aae aaa gad aa daa aaa aa aa aae aag aa aa daa aac aa aa aae eaaf aa aa daa daad dac aa aad faae caf gae eaa caa aa gad be aad gaa aa caf dbbb eaa aaa aa faf bbbd aad aaa aa dac dbbb eaa aag dag dag bbbd aad aac faf eaa ebbbe eaa aaf gae aa bbbb aaf eaad aa aa ebbbe eaa daae aa aa bbbb aaf faa aa aa bbbd aa gaa eaa aa dbbb aaf gaa fac aa bbbd aa aaa gad aa dbbbeaaf aag aa aa fag bbbaa aag aa aae aa eaage aaf aa gad aa aabbb eaad aa cad caf gacebbbd daaedag faf eaa aa dbbb faacaf fac aa gac bbbd caaae dag aae aa dbbb gaa eag fag gac bbbb aa aa aa aa ebbbe aa aa gac bbbb aa caf aa ebbbe aa eaa gag bbbb aa aa aa bbbd aa aae cag dbbb aa fag aa bbbd aa aa cag dbbbe aae aa aa bbbb gad caf cag ebbbe cad eaa aa bbbb faf aa cag ebbbd fac aae aa dbbb cag fag fag bbbd ebbbbe aa aa dbbbe ebbbbe aa faa bbbb ebbbbe cafaa ebbbe ebbbbe eaaaa bbbb ebbbbe aaae ebbbd ebbbbe aaa dbbbbbbb dae bbbb e ``` <!-- end of image -->
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