oliveirabruno01/intersection-count-pixmap-CoT

text stringlengths 41 30.8k	input stringlengths 12.8k 12.8k	line_outputs sequencelengths 1 1
This image looks interesting. I wonder if there are any intersections hidden in there? These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#881c85ff b,#1efd97ff c,#c3f8e1ff d,#a568a3ff e,#6afab6ff f,#b1d7b1ff g,#96c998ff ``` ```image daa fgdaadgggggggggggggggggggggggggggggf gffaaadffffffffffffffffffffffffffffg gfffaaaffffffffffffffffffffffffffffg gffffaaafffffffffffffffffffffffffffg gfffffaaaffffffffffffffffffffffffffg gfffffdaaafffffffffffffffffffffffffg gffffffdaadffffffffffffffffffffffffg gfffffffaaagfffffffffffffffffffffffg gffeeffffaaafffffffffffffffffffffffg gfbbbfffffaaaffffffffffffffffffffffg gfgbbfffffgaaafffffffffffffffffffffg gffbbefffffdaaaffffffffffffffffffffg gffbbbffffffaaadfffffffffffffffffffg gffgbbfffffffaaagffffffffffffffffffg gfffbbefffffffaaaffffffffffffffffffg gfffbbbffffffffaaafffffffffffffffffg gfffebbffffffffgaaaffffffffffffffffg gffffbbeffffffffdaadfffffffffffffffg gffffbbbfffffffffaaadffffffffffffffg gffffebbffffffffffaaaffffffffffffffg gfffffbbeffffffffffaaafffffffffffffg gfffffbbbfffffffffffaaaffffffffffffg gfffffebbfffffffffffgaaafffffffffffg gffffffbbgfffffffffffdaadffffffffffg gffffffbbbffffffffffffaaagfffffffffg gffffffebbfffffffffffffaaafffffffffg gfffffffbbgfffffffffffffaaaffffffffg gfffffffbbbffffffffffffffaaafffffffg gfffffffebbffffffffffffffbbaadddddaaddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gffffffffbbgffffffffffffebbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbe ebbaaaaaaaaaaaaaaaaaaaaddddddddddddddddddddffffffffcccccc ebb bbb bb bbbc bbe bbbe ebb bbbb bb bbbb bbe bbbb ebb cbbbb cbb cbbbb bbe ebbbbc bbb bbbbbe cbb bbbbbb bbe bbeebb bbb bbccbb cc cbb bbc bb bbb bbe bb bb bbbbe bbb bb bbc bbbbbb cbb cbb bbe bb bbbbe bbc ebb bbb bb cbbbb bbb ebb ebb bb bbbbe cbb bbb cbb bb cbbbb bbc bbe cbb bb bbbbe bbb bbe bb bb cbbbb ebb bbc bbc bb bbbbe bbc bb bbe bb cbbbb bbb bb bbb bb ebbbe ebb cbb ebb bb cbbbb bbccbb cbb bb ebbbe bbbebb cbb bb cbbbb ebbebb bb bb ebbbe bbbbb bbcbb cbbbbc bbbbe bbebb ebbbe ebbbc bbbbb bbbbc bbbc ebbbb ebbbe bbb ebbbb bbbbc ebb cbbbb ebbbe bb bbbb bbbbc bbbb ebbbb bbbb bbbbc bbbb ebbbb ebbb bbbbc ebbb ebbbb cbbb bbbbc bbb ebbbb bbb bbbbc bbb ebbbb bbb bbbbc ebb ebbb ebb bc bc ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#871a84ff b,#20fc98ff c,#bffee1ff d,#a454a2ff e,#76febfff f,#e2c9e1ff g,#c38cc1ff ``` ```image faaaaad gaaaaad daaaaag aaaaaaf faaaaaaf faaaaaa gaaaaad daaaaad daaaaag aaaaaaf faaaaaaf faaaaad gaaaaad daaaaag daaaaag faaaaaaf faaaaaaf cee gaaaaad ebbbb gaaaaad bbbbbc daaaaag ebbbbe daaaaaf cbbbbb faaaaaaf bbbbbc faaaaaa ebbbbe gaaaaad cbbbbb daaaaad bbbbbc daaaaag ebbbbe aaaaaaf cbbbbb faaaaaaf bbbbbc faaaaaa ebbbbe gaaaaad cbbbbb daaaaag bbbbb daaaaag ebbbbe faaaaaaf cbbbbe faaaaaaf bbbbb gaaaaad ebbbbc gaaaaad cbbbbe daaaaag bbbbb daaaaag ebbbbc faaaaaaf cbbbbe faaaaaaf bbbbb gaaaaad ebbbbc gaaaaad cbbbbe daaaaag bbbbb aaaaaaf ebbbbc faaaaaaf ebbbbe faaaaaa bbbbb gaaaaad bbbbbc daaaaad ebbbbe daaaaag cbbbbb aaaaaaf bbbbbc faaaaaaf ebbbbe faaaaad cbbbbb gaaaaad bbbbbc daaaaag ebbbbe daaaaag cbbbbb faaaaaaf bbbbbc fbbaaaaf ebbbbe bbbbaaaddddddddddddd cbbbbb cbbbbdaaaaaaaaaaaaaaa ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#881b85ff b,#1dfd97ff c,#cdfae6ff d,#a95aa6ff e,#8bfec9ff f,#d3abd2ff g,#52feafff ``` ```image c faa daad aaaf aaa aaa aaa faaa daad aaaf ee aaa gbb aaa cbb caaa bbe faad bbb daaf cbb aaac bbe aaa bbb aaa cbb faaa bbe daad bbb daaf ebb aaa bbc aaa bbb aaa ebb faaa bbc daad bbb aaaf ebb aaa bbc aaa bbg aaa ebb bbaaddddddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbc ebbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbg gbbdaaaaaaaaaaaaaaaaaaddddddddddddddddffffffffffffffffffcc gbb bbb bb bbbe bbg bbbg gbb bbbb bb bbbb bbg bbbb gbb cbbbb cbb ebbbb bbe ebbbbc gbb gbbbbg cbb bbgbbb bbe bbegbb bbb bbeebb cc cbb bbccbb bbb bbe bb bb bbbbe bbb bb bbc bbbbbb cbb cbb bbe bb bbbbe bbe ebb bbb bb cbbbb bbb gbb gbb bb gbbbe ebb bbb ebb bb cbbbb bbc bbg cbb bb gbbbe bbb bbe bb bb cbbbb ebb bbc bbc bb gbbbg bbc bbc bbe bb cbbbb bbb bb bbg bb gbbbg ebb cbb gbb bb cbbbb bbcebb ebb bb gbbbg bbgebb cbb bb cbbbbc ebbgbb bb bb gbbbg bbbbg bbebb cbbbbc bbbbg bbgbb gbbbg gbbbe bbbbb cbbbbc bbbc gbbbb gbbbg bbb ebbbb bbbbc gbb cbbbb gbbbg bb bbbb bbbbc bbbb gbbbg bbbb bbbbc bbbb ebbbg gbbb bbbbc ebbb ebbbb cbbb bbbbc bbb ebbbb bbb bbbbc bbb ebbbb bbb bbbbc gbb ebbb ebb bc gc ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#2761f4ff b,#99b8fbff c,#085efcff d,#578df5ff e,#cfddfcff f,#b0d6b1ff g,#94c79dff ``` ```image e e dcca acc bccccccc bccb edcccccccab ccc bccccccccb ccd eacccccccde dcc dccccccccb ccc bccccccccde bccb edcccccccab ccc bccccccccd ccd eacccccccde dcc ecccccccb ccc dcccde bccb dcc ccc acc ccd acc dcc cca ccc ccd bccb ccd ccc ccd ccd ccd dcc ccb ccc ccb eccb ccb ccc cce ccd cce dcc cce ccc cc eccb cc ccc cc ccd cc ae dcc ecc aaad ccc ecc aaaa eccb ecc aaaae cccggggggggggggggf bcc baaad ccafffffffffffffg bcc aaaa dccfffffffffffffg bcc aaaae cccffffffffffffg dcc baaad gccdfffffffffffg dcc aaaa fcccfffffffffffg dcc aaaae ffccaffffffffffg acc baaad ffdccffffffffffg acc aaaa fffcccfffffffffg eacca aaaae fffgccdffffffffgbccccccd baaad ffffcccfffffgacccccccde aaaafffffccafdccccccccb aaaagfffdccccccccag baaadfffcccccdfffg eaaaafffdgffffffg faaaaffffffffffg ffdaaaaffffffffg gffgaaaadffffffg baaaad daaaab daaaae aaaaae eaaaaa eaaaad baaaad daaaab daaaae aaaaae eaaaaa eaaaad baaaad baaaab daaaab aaaaae aaaaa eaaaaa baaaad baaaab daaaab aaaaae aaaaa eaaaaa eaaaad baaaad daaaab daaaae aaaa eab ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#255ff5ff b,#8fb4fdff c,#085efdff d,#3d7afaff e,#e2ecfdff f,#bad0fcff g,#6597fbff ``` ```image cae ccg cccf cccd ccccb ccccae cccccg bcccccf dccccd fcccccb gccccae ecccccg bcccccf dccccd fcccccb gccccae ecccccg bcccccf dccccd fcccccb gccccce efg ecccccg ebdccc bcccccf fgacccccc f dccccd ebdcccccccccc ag fcccccdaccccccccccccc aade gcccccccccccccccccdb aaaaf ecccccccccccccagf aaaaag bcccccccccdbe aaaaaade dccccagfe gaaaaaaaf eggbf baaaaaaag fdaaaaaade egaaaaaaab baaaaaaadf fdaaaaaaadf ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#265ff4ff b,#96b7fbff c,#085efdff d,#447ffaff e,#e3ebfdff f,#bbd0fdff g,#6e99f9ff ``` ```image e e egcca acc bccccccc fccb edcccccccaf ccc gccccccccg ccd fdcccccccdf dcce egccccccccb ccc bccccccccge fccb edcccccccaf ccc bccccccccg ccd fdcccccccdf dcce fcccccccb ccc dcccde fccb dcc ccc acc ccd acc dcce cca ccc ccd fccb ccd ccc ccg ccd ccg dcce ccb ccc ccb fccb ccf ccc ccf ccd ccf dcce cce ccc cc fccb cc ccc cc ccd ecc ae dcce ecc aaag ccc fcc eaaaa fccb fcc daaae ccc bcc baaag ccd bcc eaaaa dcce bcc daaae ccc gcc baaag fccb gcc eaaaa ccc dcc daaae ccd dcc baaag gcce acc eaaaa ccc fdcca daaae fccb bccccccg baaag ccc edcccccccde eaaaa ccd bccccccccb daaae gccccccccde baaag cccccb eaaaa edf daaae baaad eaaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf daaaae eaaaaae eaaaad faaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf aaaa eab ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#096766ff b,#faee37ff c,#9ccaa4ff d,#f4f082ff e,#b2d7b3ff f,#51948fff g,#f0f5e8ff ``` ```image gggggggggggggggg ccccccccccccccccc ceeeeeeeeeedbeeee ceeeeedbbbbbbbeee cedbbbbbbbdeeeeee gdbbbbbbbdeeeeefceee dbbbbbbbdeeeeeeeeecafeee gdbbbbbbbd ceeeeeeeeeefaeeee dbbbbbbbdg ceeeeeeeeeeaaeeee gdbbbbbbbd ceeeeeeeeeeaaeeee dbbbbbbbg ceeeeeeeeecafeeee bbbdg ceeeeeeeeefaceeee bb ceeeeeeeeeaaeeeee bb ceeeeeeeeeaaeeeee bd ceeeeeeeeeafeeeee bd ceeeeeeeefaceeeee bg gbd cccccccccaacccccc dbbb dbg ggggggggaagggggg ggggbbbdggggg db af cccccdbbbccccc bb eae eeeeeeebbbdeec bb fa eeeeeeeeebbbec bb aa eeeeeeeeeebbbb bb aa eeeeeeeeeeeebbbg bb eac eeeefceeeeeeedbbb bb fa eeeeaaeeeeeeec bbbd bd aa eeeeaaceeeeeec gbbb gbd aa eeeeaaaeeeeeec dbbd gbg gaf eeeeaaaceeeeec gbbbg dbg fag eeeeaaaaeeeeec dbbb db aa eeeeaaaaceeeec bbbd bb aa eeeeaaeaaeeeec gbbb bb gaf eeeeafeaaceeec bbbd bb cae eeeeafeeaaeeec gbbbg bb aa ccccafccaacccc dbbd bb aa ggggafgggaagg bb bb af gaf aa dbg bd cae gac gaa bb gbd aa gac aa bb gbg aa gac eaf dbg dbg aa eac aa bb db eac eae eaf bb bb fa eae aa dbg bb aa eae caf bb bb aa cae aa bb bb gaf cag cac dbg bb fag cag aa bd bb aa cag fac bb bd aa fag aa dbg gbd gaf fa fae gbd gbg cag fa aa bb dbg aa fa fae db db aa fa aa gbd bb af fa fag bb bb cae fa aa bb bb aa aa aag gbd bb aa aa gaa bb bb aa aa aag bb bb eac aa gaa gbd bd fa aa aa bbgbd aa aa gaa ggggbbdbggggggg aa aa aa gcccccbbbcccccccc gac aa eaf gceeeebbbeeeeeeec fag aa aa gceeeebbbeeeeeeec aa aa eaf gceeeeebbeeeeeeec geaa aa aa gceeeeebbeeeeeeec gefaaaaaaaaf aa caf gceeeeeddeeeeeeecefaaaaaaaaaaaaffeg aa aa gceeeeeecffaaaaaaaaaaaafceg aa cac gffaaaaaaaaaaaaafeg aa aaefaaaaaaaaaaaaafceeeeeec aa faaaaaaaffceeeeeeeeeeeeeec aa ce gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gcccccccccccccccc aa ggggggggggggggg af af af af ee ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#086665ff b,#fbee36ff c,#639e9eff d,#fbf274ff e,#accccbff f,#368281ff g,#fdf9beff ``` ```image dbbbbbbg gdbbbbbd gbbbbbbg dbbbbbdg gbbbbbbd dbbbbbbg gdbbbbbd gbbbbbb dbbbb gbbb db g ec eaaf caaae caaaf caaaae caaaaf caaaaae caaaaaf faaaaaae faaaaaaf faaffaaae faafeaaac faaf faaae faaf eaaac faaf faaa faaf eaaac faaf aaaa aaac eaaac aaac aaaa aaac caaac aaac aaaa ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Let's inspect the next region. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#096766ff b,#faee36ff c,#8fb9b9ff d,#fbf37cff e,#cde0dfff f,#509392ff g,#fdf9c1ff ``` ```image bbbbgbbbg dbbbdbbbg gbbbbbbb bbbbbbb dbbbbbb gbbbbbd bbbbbd dbbbbd gbbbbd bbbbg dbbbg gbbb gdg eeccffa eeccffaaaaaaaaa eeccffaaaaaaaaaaaaaaaaa eeccffaaaaaaaaaaaaaaaaaaaaaaaaf aaaaaaaaaaaaaaaaaaaaaaffccee aaaaaaaaaaaaaaffccee aaaaaaffccee ccee ``` <!-- end of image --> I had hoped to find an intersection in area B, but there isn't one. Now, let's scrutinize the next spot. I'm going to scrutinize area C for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#086766ff b,#fbee36ff c,#84b3b3ff d,#fbf37dff e,#c2d9d9ff f,#478d8cff g,#fdf9c0ff ``` ```image g ggdbbbg gddbbbbbbbd gdbbbbbbbbbbbbd ggdbbbbbbbbbbbbbbdgg gddbbbbbbbbbbbbbddg dbbbbbbbbbbbbbbdgg bbbbbbbbbbddg ffce bbbbbbddg aaaf bbdgg eaaac caaae faaa aaaf eaaac caaae faaa aaaf aaac eaaac caaae faaa aaaf eaaac caaae faaa aaaf eaaac caaae faaa aaaf ``` <!-- end of image --> Area C doesn't meet the criteria for an intersection. Answer: A: 0; B: 0; C: 0; 0 + 0 + 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#086665ff b,#faee36ff c,#76aaaaff d,#fbf379ff e,#b7d2d2ff f,#3c8685ff g,#fdf9c5ff ``` ```image gdbg gdbbbbbd dbbbbbbbd gdbbbbbbdg fe gbbbbbbbdg eac gdbbbbbbbg fa gbbbbbbbdg aa dbbbbbbbd aa dbbbbbbdg ac bbbdg ca bb aa bb aa bd af bd cae bg gbg aa gbbb gbg aa bbbg db af gbbb db eae bbbd bb fa gbbb bb aa dbbd bb aa bbbg bb eac e dbbb bb fa aa bbbd bd aa aae gbbb bd aa aaa dbbd gbg ac aaae bbbg dbg ca afaa dbbb db aa affae bbbg bb aa af aa gbbb bb af af aa bbbd bb cae af aa gbbbg bb aa ac aa dbbd bb aa ac aa bb bb af ac aa dbg bd eae ac eaf bb bd fa eac aa bb gbg aa eac eaf dbg db aa eae aa bb db eac eae eaf bb bb fa eae aa dbg bb aa eae eac bd bb aa eae aa bb bb eac cae cac db bb ca cae aa bd bb aa ca cac bb bd aa ca aa db gbd af ca fae bd gbg cae ca aa bb db aa fa fae db db aa fa aa bd bb af fa fae bb bb eae fa aa db bb fa fa aa gbd bb aa aa aa bb bb aa aa aa bb bd eac aa aa gbd bd fa aa aa bbgbg aa aa eaf bbgbg aa aa aa gbbb eac aa eaf bbb ca aa aa bbb aa aa eaf gbb eaa aa aa bb ecfaaaaaaac aa eac gg ecfaaaaaaaaaaafce aa aa ecfaaaaaaaaaaafce aa cac ecfaaaaaaaaaaafce aa aaecfaaaaaaaaaaafce aa caaaaaaafce aa ce aa aa aa aa aa af af af af af ee ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b77188ff b,#4dc497ff c,#983355ff d,#e8edebff e,#d8b3c0ff f,#b6e7d4ff g,#83d6b7ff ``` ```image dded deeeaaaccccccccccccccc deeeaaaccccccccccccccaaaeeed ac cccccccccaaaeeed ce dc ac ce dc ac ce c ac ce c ec ce c ec ce c ec ca c ec ca c ec ca cd ec ca cd dc ca cd dc aa bg cd gbbf dc fb bd aa db bd cd bd db dc bf fb ac bg fb ce gb gb dc fb bb ac db bg ce bd bf dc bf bf ac bg bg c gb bb gb gbd db dbg b bb bd gbd bg dbg bb bb gb fbf fb bb db gbd bd dbg bf bb bg fbf gb bb fb gbd db dbg bd bb bf fbf bg bb gb gbd fb dbg db bb bd fbf bf b bg gb fb db bd bf ``` <!-- end of image -->	[ "" ]
I have a feeling there might be some intersections in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#983267ff b,#95eae9ff c,#d5abc1ff d,#e7f2f0ff e,#aed6afff f,#56e0e2ff g,#b26a8eff ``` ```image cggd dgaaaaaaaaaac aaaaaagc caaaaaagc aac dgaaaaaacd cgaaaaagc dgaaaaaagd cgaaaaagc dcaaaaag cgac aa aa dag gac aa aa daa cac aad aa daa cac aad aa aa cag gad aa aa cag gac aa aa dag gac aa aa dag cac aad aa ffd daa bffffd cac dff dfffb aad ff dfffb aa ff fffb aa bfb ffff cag ff bfff gad ff bfffd aa ffd bfffd aa dfb dfffb cag ff dfffb gad ff dfffb aa bfd fffb ddddddddddaadddddddd dfb bfff eeeeeeeeeeeeaaeeeeeee ff bfffd eeeeeeeeeeeegaeeeeeee ff bfffdeeeeeeeeeeeeeaaeeeeee bfb dfffeeeeeeeeeeeeeaaeeeee ff dfffbeeeeeeeeeeeaaeeee ff eeffffeeeeeeeeegageee ffd eeeeffffeeeeeeeeaeeee dfb eeeeeeffffeeeeeeeeeee ff eeeeeeeeffffeeeeeeeee ff eeeeeeeeeebfffeeeeeee bfd eeeeeeeeeeeebfffeeeee dfb eeeeeeeeeeeeeeeffbeee ff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee bfd eeeeeeeeeeeeeeeeeeeee dff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee bfb eeeeeeeeeeeeeeeeeeeee ff dddddddddddddddddddd ff bfd dfb ff ff bfd dff d ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#973066ff b,#96ebedff c,#bf80a1ff d,#cdf5f6ff e,#e0c2d1ff f,#56e0e3ff g,#a8527fff ``` ```image caaae gaaa eaaag eaaac caaae gaaa eaaag d eaaac ffd caaae ffffd gaaae ffffffb eaaag dbffffffb eaaac bffffffbd caaae bffffffbd gaac bffffffbd ge dfffffffd dfffffffd dbffffffb dbffffffb dbffffffbd bffffffbd bffffffbd dfffffffd dfffffffd dbffffb dbff dd ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#973066ff b,#8deaecff c,#c791adff d,#caf5f6ff e,#e4c9d7ff f,#56e0e3ff g,#ac5b85ff ``` ```image egge ecaaaaaaaaaac aaaaaage cgaaaaage agc ecaaaaaac egaaaaage ecaaaaaace egaaaaagc caaaaag egae aa aa eag cae aa aa ag cac aa aa aa cac gae aa aa eac gae aa aa eag gae aa aa eag cae aa aa eag cac aa aa ffd aa bffffd cac fb dfffd ga ff dfffb aa ff fffb aa dfd ffff eac ff bfff gae ff bfffd aa bf dfffd aa dfb dfffd eag ff dfffb gae ff fffb aa bfd fffb aa dfb bfff eag ff bfff gae ff bfffd aa bfd dfffd aa ff dfffb eag ff fffb cac ff fffb g dfb bfff ff bfff ff bfffd bfd dfffd dfb dffd ff d ff bfd ff ff ff dfb ff ff bfd dfb ff ff bfd ff d ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#90d267ff b,#e9f3c9ff c,#b9e2a0ff d,#eef7ddff e,#a7db87ff f,#f7fbefff g,#ceeabcff ``` ```image gaa aaa aad eaa aac baa aaa aab caa aae daa aaa aag gaa aae faaf eaa aag gaa aaa aad eaa aac baa aaa aab caa aae daa aaa aag caa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf deaaaaaaeeeeccccccccggggggggbbbbdddddffff faaaaaag aaaag baad aaa caa aac aaa daab aaa caaf aae aaa daag aaa gaaf aae eaa ff faag dbbbf aaa fbbbbbbb gd dbbbbbd bbf bbbbbbf bbb dbbbbbd bbd bbbbbbf bbb fbbbbbb bbd dbbbbbd dbb fbbbbbbf bbd dbbbbbd dbb bbbbbbf bbb dbbbbbd fbb bbbbbbf bbb fbbbbbb fbbf dbbbbbd bbb fbbbbbbf fbbf dbbbbbd bbb fbbbbbbf bbf dbbbbbd bbb bbbbbbf bbd fbbbbbb dbb dbbbbbd bbd fbbbbbb dbb dbbbbbd bbb fbbbbbbf dbb dbbbbbd bbb bbbbbbf fbb dbbbb bf ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#87a086ff b,#29eebeff c,#c7d3c7ff d,#70f3d3ff e,#aff8e6ff f,#e2f0eaff g,#a5b8a4ff ``` ```image a g cf a a c c a g ff g a c c a a fc g a g cf a a c g a cg caf caf faf faf fac fac fac fac ac ac ag ag ag gg gg gg ga ga ga ca ca caf caf caf caf faf faf fac fbd fac be fb fac bd dd fac db bf ac ebf db ac be be fa bd eb fg db bd cg eb fb gc fbe dd gf bd bf af db db eb be fbf eb be bd dd fb db dd ebf bf be db bd be db eb ebf bd fbe fb bd dd b ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3fab35ff b,#db07e0ff c,#f3aff4ff d,#b5deb1ff e,#e551e9ff f,#24a018ff g,#78c471ff ``` ```image a af af af af af af af af af af af af af af af af af af af dgafff b dggafffffffffag bb ddgafffffffffagdd bb dafffffffffaggd bb dgfffffagd bb gfffffgd eb daffffad eb dgfffffg ebc gfffffgd cbc affffad cbc fg cbe be be bb bb bb bb bb bb eb eb ebc cbc cbc cbe be be bb bb bb bb bb bb bb eb ebc cbc cbc cbe be be bb bb bb bb bb bb bb eb ebc ebc cbc cbe cbe bbbec be cebbbbbec bb cebbbbbec bb cebbbbbec bb cebbbbbe bb cbbbb ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ed5e51ff b,#419eadff c,#e61402ff d,#d6e2e5ff e,#f5a8a2ff f,#89c2ccff g,#068094ff ``` ```image cccccccccccccccccccccccccccce ccccccccccccccccccccccccccccc accccccccccccccccaaaaaaaaaccc ecce ccc ccc ecce ccc ccc acce ccc ccc accd cca ccc acc cca ccc acc dcca ccc acc dcca ccc ccc ecca ccc ccc ecce ccc ccc eccccae ccccccccccaae eccccccccccccccccaed eacccccccccccccccccaed eacccccccccccccccccae eacccccccccccccccccae deaccccccccccccccccca deaccccccccccc eaacccc ddffbbggggg gggggggggggggggggf dgggggggggggggggggggg bggggbbffdd fggggb ggggb gggggd fggggd dggggb ggggg bggggd fggggf dggggg bgggg bggggf dggggf ggggg bgggg fggggf ggggb ggggg fggggd fggggb ggggg gggggd dggggf dggg bgggg bd ggggb fggggd ggggb fggggf ggggg dggggf bgggg ggggb fggggd ggggg dggggf bgggg dggggb bggggd ggggb fggggd ggggg dggggf gggg dgb d ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#964d49ff b,#b7f7b1ff c,#d0afadff d,#e8f5e5ff e,#ad7e77ff f,#afd7afff g,#98c796ff ``` ```image d eaaae caaaaaaaac aaaaaaaaaaaaac eaaaaa caaaaaaaad daaaaac eaaaaaaae aaaaae daaaaaaaac caaaaad caaaaaaaac daaaaac caaaaaaaad aaaaae eaaaaaaae caaaaad daaaaaaaac daaaaac caaaaaaad eaaaaa caaaa caaaaad ee aaaaae eaaaaa caaaaad aaaaae eaaaaa daaaaac aaaaae gggggggggggggggf eaaaaa dfffffffffffffffg daaaaac dfffffffffffffffgaaaaae dffffffffffffffeaaaaad dfffffffffffffaaaaac dfffffffffffaaaaaa dfffffffffeaaaaag dffffffffaaaaaefg dffffffaaaaaafffg dffffeaaaaagffffg dfffaaaaaeffffffg dfeaaaaaffffffffg dfaaaagfffffffffg ddddddbbbbbbbbbbbbbbbbb dfgaefffffffffffg ddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddd bbb dfbbbbbbbbbbbbbbbbbbbbbbbbbdddddd bbb dfbfffffffffffffg bbbd dgffffffffffffffg dbbd ddddddddddddddd bbb bbb bbb bbb dbbd dbbb bbb bbb bbb bbbd dbbb bbb bbb bbb bbb dbbd bbb bbb bbb bbb bbbd dbbb bbb bbb bbb bbbd dbbd bbb bbb bbb bbb dbbd dbbb bbb bbb bbb bbbd dbbd bbb bbb bbb bbb ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#964c48ff b,#b6f8b0ff c,#c29896ff d,#eef2e8ff e,#a86b68ff f,#d3f9d0ff g,#dcc5c3ff ``` ```image c gea deaaa caaaaa geaaaaaa dcaaaaaaaa caaaaaaaaaa geaaaaaaaaaeg dcaaaaaaaaaacd gaaaaaaaaaaed geaaaaaaaaaag dcaaaaaaaaaacd gaaaaaaaaaaeg deaaaaaaaaaag caaaaaaaaaacd geaaaaaaaaaeg deaaaaaaaaaac eaaaaaaaaacd gaaaaaaaeg eaaaaac daaaed ceg dddddd dfffffffffffbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbfffffff ffffddddddd ``` <!-- end of image --> I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#964c48ff b,#b6f8b0ff c,#c59d9bff d,#ebf4e6ff e,#ad7471ff f,#d2facfff g,#dcc5c4ff ``` ```image d eaaae gaaaaaaaac aaaaaaaaaaaaag caaaaa caaaaaaaed gaaaaag eaaaaaaae aaaaae daaaaaaaac caaaaad gaaaaaaaag daaaaac caaaaaaaad eaaaae eaaaaaaae caaaaad daaaaaaaac daaaaac gaaaaaaag eaaaaa caaaa gaaaaad ee daaaaac eaaaaa gaaaaag aaaaae eaaaaa gaaaaag aaaaae caaaaad daaaaag aaaaae caaaaad daaaaac eaaaae caaaaad daaaaac eaaaaa gaaaaag aaaaac eaaaaa aaaag dddfffffbbbbbbbbbbbbbbb dae ddddffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dfffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffffddd bbb bbbbbbbbbbbbbbbbbbbbbbbfffffddd bbb ffdddd fbbd dbbf bbb bbb bbb bbb fbbf dbbb bbb bbb bbb fbbd dbbf bbb bbb bbb bbb fbbf bbb bbb bbb bbb fbbd dbbf bbb bbb bbb bbbd fbbf bbb bbb bbb bbb fbbd dbbf bbb bbb bbb fbbd dbbf bbb bbb bbb bbb ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#c31b63ff b,#47104eff c,#e0b3c9ff d,#7b5980ff e,#ca4d81ff f,#b1d7b1ff g,#9ac298ff ``` ```image cbd bbbbbd bbddbbbbbd bbb dbbbbbd dbb dbbbbbd cbb dbbbbbd bbc dbbbbbd bbd dbbbbbd bbb dbbbbbd dbb dbbbbbd cbb dbbbbbd bbc dbbd bbd bbb dbb cbb bbc bbd bbb dbb gbb bbc bbd bbb dbb gbb bbc bbd bbb dbb gbb cbbc bbd bbb bbb dbb cbbc bbd bbb bbb dbb cbbc ea ggggggggggggggbbdggggeaaa fffffffffffffbbbffffeaaaaa ffffffffffffbbbffffeaagfaae fffffffffffdbbffffeaagffgaac ffffffffffgbbgfffeaagfffgcaac ffffffffffbbdfffeaagffffg caa fffffffffbbbfffeaagfffffg eaa ffffffffbbbfffeaagffffffg aaa fffffffdbbfffeaagfffffffg aae ffffffgbbgffeaagffffffffg aae ffffffbbdffeaaffffffffffg caac fffffbbbffeaafffffffffffg caa ffffbbbffaaaffffffffffffg eaa fffdbbffaaafffffffffffffg aaa ffgbbgfaaaffffffffffffffg aaa ffbbdfaaafffffffffffffffg aae fbbbfaaaffffffffffffffffg aac bbbfaaafffffffffffffffffg caac dbbfaaaffffffffffffffffffg eaa cbbgaaafffffffffffffffffffg eaa bdaaaffffffffffffffffffffg aaa aaafffffffffffffffffffffg aae aaaffffffffffffffffffffffg aaa ec eaagggggggggggggggggggggggf caaaac cae e eaaaac aac caaaae aa caaaaa aa eaaaac cae eaaaac aac caaaae aa caaaae aa eaaaac cae eaaaac aac caaaae aa caaaae aa eaaaaccae eaaaaac caaa cc ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#c31c63ff b,#470f4dff c,#c0aac0ff d,#6a3e70ff e,#d04d85ff f,#efdae5ff g,#957599ff ``` ```image fdbbbbc eaaaa dbbbbg eaaaaa gbbbbd eaaaaaa cbbbbdf eaaaaaaa fbbbbbf eaaaaafca fdbbbbc eaaaaaf e dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fdbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fbbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fbbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbd feaaaaaf cbbbbbf feaaaaef fbbbbbc feaaaaef dbbbbg feaaaaef gbbbbd feaaaaef cbbbbd feaaaaef cbbbbbf feaaaaef fbbbbbc feaaaaef dbbbbg faaaaaef gbbbbd faaaaae cbbbbd faaaaae cbbbbbf faaaaae fbbbbbc faaaaae dbbbbg faaaaae gbbbbg faaaaae bbbbd faaaaae bbbbffaaaaae bbbcfaaaaae bbgfaaaaae ggfaaaaae faaaaae faaaaae aaaaae aaaae ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c31c63ff b,#460f4dff c,#d8a5bfff d,#6b3f71ff e,#d15187ff f,#ecd8e3ff g,#917095ff ``` ```image cbdf fbbbbbdf bbdgbbbbbdf bbb gbbbbbdf dbb gbbbbbdf cbbf gbbbbbdf fbbc gbbbbbdf bbd gbbbbbdf bbb gbbbbbdf dbb gbbbbbdf cbbf gbbbbbd fbbc gbbg bbd bbb dbb cbb fbbc bbd bbb dbb cbb fbbc bbg bbb dbb gbb fbbc bbg bbb dbb gbb fbbc bbg bbb dbb gbb fbbf bbg bbb dbb gbb fbbf ea bbg eaaa bbd eaaaaa dbb eaaf aae gbb eaaf aac fbbf eaaf faaf bbg eaaf caa bbd eaaf eaa bbb eaaf aaa gbb eaaf aae fbbf eaaf aae bbg eaaf faac bbd eaaf caaf bbb eaaf eaa gbb eaaf aaa cbbf eaaf aaa bbg aaa aae bbd aaa faac bbb aaa caaf gbb aaa eaa cbbfaaa eaa bgaaa aaa aaa aae aaa aaa ec eaa faaaaf cae e eaaaac aac caaaae aa faaaaa aa eaaaaf cae eaaaac aac caaaae aa faaaaa aa eaaaaf cae eaaaac aac caaaae aa faaaae aa aaaaafcaa eaaaaac caaa fc ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. I've noticed 2 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#b30fd1ff b,#2712b9ff c,#6a65c3ff d,#d4b1ecff e,#bb63d1ff f,#b1d7b1ff g,#95c897ff ``` ```image dbbc bbbbb cbbbbbbb bbbbbdbbbc cbbbbc bbb dbbbbb cbbb bbbbbd bbbd cbbbbc bbb dbbbbb cbbb bbbbbc bbbd dbbbbb dbbb bbbbbd bbbc cbbbbc bbb dbbbbb dbbb bbbbbe bbbc ebbbbb bbb bbbbbd cbbb cbbbbc bbbd dbbbbb bbb bbbbbd cbbb cbbbbb bbbd bbbbbd dbbb fggggbbbbbcggggggggf bbbc gffcbbbbbffffffffffg bbb gfbbbbbcfffffffffffg dbbb cbbbbbaaaaaaaaaaeeeedddddd bbbc dbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeedd bbb bbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadcbbb dbbbbbaaefffffffffffffffg ddddddeeeeeaaaaaaaaaaaaaaaaaaaaaaaaafbbbcffffffffffg bbbbbdeaaffffffffffffffffg gffffffaaafgbbbffffffffffg cbbbbc aaaffffffffffffffffg gffffffeaaffbbbbfffffffffg dbbbbb aaaffffffffffffffffg gfffffffaaaffbbbgffffffffg bbbbe aaaffffffffffffffffg gfffffffaaaffgbbbffffffffg dbb daaeffffffffffffffffg gfffffffaaafffbbbcfffffffg d eaafffffffffffffffffg gffffffffaaefffbbbfffffffg aaafffffffffffffffffg gffffffffaaafffcbbbffffffg aaafffffffffffffffffg gffffffffaaaffffbbbcfffffg aaafffffffffffffffffg gffffffffeaaeffffbbbfffffg daaefffffffffffffffffg gfffffffffaaaffffcbbbffffg eaaffffffffffffffffffg gfffffffffaaafffffbbbgfffg aaaffffffffffffffffffg gfffffffffeaafffffgbbbfffg aaaffffffffffffffffffg gffffffffffaaafffffbbbgffg aaeffffffffffffffffffg gffffffffffaaafffffgbbcffg daad gffffffffffaaaffffffbbcffg aaa gfffffffffffaaefffffbbbffg aaa gfffffffffffaaafffffbbbffg aaa gfffffffffffaaafffffbbbffg aae gfffffffffffeaaeffffbbbffg eaad gffffffffffffaaaffffcbbffg aaa gffffffffffffaaaffffcbbcfg aaa gffffffffffffeaafffffbbcfg aaa gfffffffffffffaaaffffbbbfg daae gfffffffffffffaaaffffbbbfg eaa gfffffffffffffaaaffffbbbfg aaa gffffffffffffffaaefffbbbfg aaa gffffffffffffffaaafffcbbfg aaa gffffffffffffffaaafffcbbgg daad gffffffffffffffeaaeffgbbcg eaa gfffffffffffffffaaafffbbcg aaa gfffffffffffffffaaafffbbbg aaa gfffffffffffffffeaafffbbbg aaa gffffffffffffffffaaaffbbbg daad gffffffffffffffffaaaffbbbg eaa gffffffffffffffffaaafffffg aaa gfffffffffffffffffaaeffffg aaa gfffffffffffffffffaaaffffg aae gfffffffffffffffffaaaffffg daad gfffffffffffffffffeaaefffg aaa gffffffffffffffffffaaafffg aaa gffffffffffffffffffaaafffg aaa gffffffffffffffffffeaafffg aae fgggggggggggggggggggaaaggf daad aaa aaa aaa aaa daae aaa aaa aae aaa eaa daad aaa aaa aaa aaa eaa ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#b20dd2ff b,#2610b9ff c,#7b6bd3ff d,#e7c4f2ff e,#c547dcff f,#4d1fc1ff g,#cf88e6ff ``` ```image gbbbbbbbbbfg dfbbbbbbbbbc cbbbbbbbbbfd gfbbbbbbbbbc dcbbbbbbbbbcd cbbbbbbbbbfg dfbbbbbbbbbcdddddd cbbbbbbbbbfaaaaaaaaaaaaaaaaaeeeeeeeeg fbbbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbfaaaeddddddddggggggggeeeeeeeeeaaaaa bbfaaaag cgaaaaad gaaaaad eaaaaa aaaaae daaaaag gaaaaad eaaaaa eaaaaa aaaaae aaaaag aaaaad aaaaa aaaae aaaae aaaag aaaad aaaa aaae aaag aaag aaad aaa aae aag aad aad aa ae ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Let's inspect the next region. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#b30dd2ff b,#2711b9ff c,#958bdcff d,#e5d2f4ff e,#c54addff f,#5c4ccaff g,#d49aeaff ``` ```image aaaaaaaaaaaaaaaaaaae bbbbbbf aaaaaaaaaaaaaaaaaaaa gbbbbbbg eeeeeeaaaaaaaaaaaaaag fbbbbbb daaaaae dbbbbbbc aaaaaa cbbbbbbd eaaaaad fbbbbbf gaaaaag dbbbbbbc aaaaae cbbbbbbd eaaaaad fbbbbbf gaaaaag gbbbbbbc daaaaae fbbbbbbd eaaaaa dbbbbbbf gaaaaag cbbbbbbg daaaaae fbbbbbb aaaaaa dbbbbbbc eaaaaad cbbbbbbd gaaaaag fbbbbbf aaaaae dbbbbbbc eaaaaad cbbbbbbd gaaaaag bbbbbbf daaaaae gbbbbbbc eaaaaa fbbbbbbd gaaaaag dbbbbbbf daaaaae cbbbbbbg aaaaaa fbbbbbb eaaaaad dbbbbbbc gaaaaag cbbbbbb aaaaae fbbbbbd eaaaaad cbbbbbg gaaaaag dbbbbbc daaaaae dbbbbbc eaaaaa bbbbbf gaaaaag fbbbbf daaaaae fbbbbb aaaaaa cbbbbbd eaaaaad cbbbbbd gaaaaag gbbbbbc aaaaae dbbbbbc eaaaaad bbbbbf gaaaaag bbbbbf daaaaae fbbbbb eaaaaa fbbbbb gaaaaag cbbbbbd daaaaae gbbbbbg aaaaaa dbbbbbc eaaaaad dbbbbbc gaaaaag bbbbbf aaaaae fbbbbb eaaaaad fbbbbb gaaaaag cbbbbbd daaaaae cbbbbbg eaaaaa gbbbbbc gaaaaag dbbbbbc daaaaae bbbbbf aaaaaa bbbbbf eaaaaad fbbbbb gaaaaag cbbbbbd aaaaae cbbbbbd eaaaaad gbbbbbg gaaaaag dbbbbbc daaaaae bbbbbf eaaaaa bbbbbf gaaaaag fbbbbb daaaaae fbbbbb aaaaaa cbbbbb eaaaaad cbbbbb gaaaaag dbbbbb aaaaae dbbbbb eaaaaad bbbbb gaaaaag fbbbb daaaaae ccgd eaaaaa gaaaaag daaaaae aaaaaa eaaaaad gaaaaag aaaaae eaaaaad gaaaaag daaaaae eaaaaa gaaaaag daaaaae aaaaaa eaaaaad ``` <!-- end of image --> No intersection found in area B, but I won't give up. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b30dd2ff b,#2711b9ff c,#8d82daff d,#e0caf2ff e,#c64bddff f,#5643c8ff g,#d293e8ff ``` ```image dbbf bbbbbd cbbbbbbb dbbbbbdbbbc fbbbbc bbb gbbbbb cbbb bbbbbg bbbc cbbbbf bbb dbbbbbd fbbb fbbbbc bbbd cbbbbb dbbb bbbbbd fbbf fbbbbf bbbd dbbbbb gbbb bbbbbc bbbc cbbbbb bbb bbbbbd cbbb fbbbbf bbbg dbbbbb dbbb bbbbbc fbbf cbbbbf bbbd dbbbbbd dbbb fbbbbc bbbf gbbbbb bbb bbbbbg cbbb cbbbbbaaaaaaaaeeeeeggggdddd bbbc dbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeggd bbb fbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcbbb cbbbbbaag ddddggggeeeeeaaaaaaaaaaaaaaaaaaaaaaaa bbbg bbbbbdeaad aaa dbbb fbbbbf aaa eaad fbbf dbbbbb aaa aae bbbd bbbbc aaa aaa dbbb dbb daag eaa bbbf d eaa daae bbb aaa aaa cbbb aaa aaa bbbc aae gaag bbb gaag aaa fbbb eaa aaa bbbd aaa eaad dbbb aaa aae fbbd aae aaa dbbc gaad eaa bbf eaa daae bbb aaa aaa bbb aaa aaa bbb aae gaag bbb gaad aaa cbb aaa aaa gbbg aaa eaad bbc aaa aae bbf daag aaa bbb eaad eaa bbb aaa daae bbb aaa aaa fbb aaa aaa cbbd daag gaag dbbc eaa aaa bbf aaa aaa bbb aaa eaad bbb aae aae bbb gaag aaa fbb eaa eaa aaa daae aaa aaa aae aaa gaad gaag eaa aaa aaa aaa aaa eaad aae aae gaad aaa aaa eaa aaa daae aaa aaa daag aaa gaad gaag aaa aaa eaa aaa eaa ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#da43dcff b,#d46812ff c,#e291e4ff d,#b1d6b1ff e,#f3eaeeff f,#d89659ff g,#99c794ff ``` ```image bf ebbbbfe efbbbbfe efbbbbfe eeeeeeeeeeefbbbbfeeeeeeeeeeeeee dddddddddddddgfbbbbbgddddddddddg dddddddddddddddddfbbbbfddddddddg dddcddddddddddddddddfbbbbddddddg dddaadddddddddddddddddgbbbbgdddg dddaaddddddddddddddddddddbbbbfdg dddaaddddddddddddddddddddddfbbbb dddaaddddddddddddddddddddddddfbbbbe dddaaddddddddddddddddddddddddddgbbbbf dddaaddddddddddddddddddddddddddg fbbbf dddcadddddddddddddddddcddddddddg fbbbbe ddddadddddddddddddddddaadddddddg ebbbbd ddddacdddddddddddddddcaaaddddddg fbbbf ddddaadddddddddddddddaadaadddddg fbbbbe ddddaadddddddddddddddaaddaaddddg ebbbbd ddddaadddddddddddddddaadddaacddg bbbb ddddaadddddddddddddddaaddddaacdg fbb eeeeaaeeeeeeeeeeeeeeeaceeeeeaac bbe ca cae aaa bb cae ca aaa dbb eac aa aaa bbe ac aa aaa bb aa aa caa dbf aa eac caa bbe aa cae caae bb aa aa eaae fbf aa aa eaae bbe ca aa aac bb cae aa aac fbf eac eac aac bbe ac cae aaa ebb aa aa aaa fbf aa aa aaa bbe aa aa caa ebb aa aa caa fbf aa eac caae bb ca cae eaae ebb cae aa eaae fbf eac aa eaac bb ac aa aac ebb aa aa aac fbf aa eac aaa bb aa cae aaa ebb aa aa aaa bbd ca aa aaa bb cae aa caagggggggggbbggggggggggggggd eae ac caaddddddddbbgdddddddddddddg eac eac gaaddddddddbbdddddddddddddg ac cae gdaadddddddgbbddddddddddddg aa aa gddaacddddddbbgdddddddddddg aa aa gdddaacddddddbbdddddddddddg aa aa gddddaacdddddfbbddddddddddg aa ac gdddddaaadddddbbgdddddddddg ca eac gddddddaaadddddbbdddddddddg cae ca gdddddddaaaddddfbbddddddddg eac aa gddddddddaaaddddbbgdddddddg ac aa gdddddddddaaaddddbbdddddddg aa aa gddddddddddcaadddfbfddddddg aa ac gdddddddddddcaadddbbddddddg aa eac gdddddddddddddaadddbbdddddg aa ca gddddddddddddddaaddfbfddddg aa aa gdddddddddddddddaacdbbddddg ca aa gddddddddddddddddaacdbbdddg cae aa gdddddddddddddddddaaafbfddg eac ac gddddddddddddddddddaaabdddg aceae gdddddddddddddddddddaaadddg aaca gddddddddddddddddddddaaaddg aaaa gdddddddddddddddddddddadddg aaaa gdddddddddddddddddddddddddg aaaa gdddddddddddddddddddddddddg aaac gdddddddddddddddddddddddddg caae eeeeeeeeeeeeeeeeeeeeeeeee caa eaa aa aa e ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#da41ddff b,#d56811ff c,#eda5eeff d,#edc29fff e,#f7daefff f,#e09152ff g,#e370e5ff ``` ```image edfbbbbbbbbbfde edfbbbbbbbbbfde dfbbbbbbbbbfde dfbbbbbbbbbfd dfbbbbbbbbbfe dfbbbbbbbbfd ecce dfbbbbbbbbd aaac dbbbbbbbbfe aaag dfbbbbbbbfd gaag efbbbbbbbfd gaaa edbbbbbbbbde caaa dfbbbbbbbf caaae efbbbbbb caaae edbbbb eaaac dfb eaaac d aaag aaag gaag gaaa caaa ce caaae gaac eaaae aaaag eaaac eaaaaag aaac caaaaaag aaag caaaaaaage gaag gaaaeaaaaae gaaa aaag eaaaaae gaaa aaac eaaaaae caaae eaaac eaaaaae caaae caaae egaaaac eaaac caaa gaaaac eaaac gaaa gaaaac ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Alright, let's concentrate on the next area. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#da42ddff b,#d56913ff c,#f0b4f1ff d,#eec5a5ff e,#f8e3edff f,#e1965aff g,#e374e5ff ``` ```image aag dbbbbe aaag fbbbf aaaag ebbbbd caaaage dbbbbe caaaaae fbbbf caaaaae ebbbbd eaaaaae dbbbbe eaaaaac fbbbf eaaaaac ebbbbd egaaaac dbbbb gaaaac fbbbf gaaaag ebbbbd gaaaag dbbbb caaaag fbbbf caaaag ebbbbe caaaage dbbbb caaaaae fbbbd eaaaaae ebbbbe eaaaaac dbbbf eaaaaac fbbbd egaaaac ebbbbe gaaaac dbbbf gaaaag fbbbd gaaaag ebbbbe gaaaag fbbbf caaaag bbbbd caaaage ebbbbe caaaaae fbbbf caaaaae bbbbd eaaaaae dbbbbe eaaaaac fbbbf egaaaac bbbbd gaaaac dbbbbe gaaaac fbbbf gaaaag ebbbbd gaaaag dbbbbe caaaag fbbbf caaaagebbbf caaaagdbd caaaaae eaaaaae eaaaaac eaaaaa egaac gc ``` <!-- end of image --> Area B does not contain any intersection points. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#da41ddff b,#d56812ff c,#eeabefff d,#edc09cff e,#f7dfedff f,#e09153ff g,#e372e5ff ``` ```image bf ebbbbf efbbbbf efbbbbfe efbbbbfe efbbbbfe fbbbbf ce fbbbb ag dbbbbd aa ebbbbd aa fbbbf aa dbbbbe aa ebbbbd ga fbbbf ca c dbbbbe cac aa ebbbbd ac caaa fbbbf ag gacaae dbbbbe aa aa eaae ebbbbd aa aa eaac fbbb aa aa aac fbb aa ac aag bbd ga cae aag bb cae ga aaa dbb eac aa aaa bbe ag aa gaa bb ag aa gaa dbf aa eac caa bbe aa cae caae bb aa ga eaae dbf aa aa eaac bbe ga aa aac bb cae ag aag fbf eac eac aag bbe ag cae aaa bb aa ga aaa fbf aa aa gaa bbe aa aa gaa ebb aa ag gaa fbf ga eac caa bb ga cae caae ebb cae ga eaae fbd eac aa eaac bb ag aa aac ebb aa ag aag fbd aa eac aag bb aa cae aaa ebb aa aa aaa bbd ga aa gaa bb ca aa gaa dbb cac ag caa bbd ac eac caae bb ag ca eaae dbb aa aa eaac bbd aa aa aac bb aa aa aag dbb aa ag aag bbe ga eac aaa bb cae ga aaa dbf eac aa gaa bbe ag aa gaa bb ag aa caa dbf aa ag caa bbe aa eac eaae bb aa ga eaae fbf aa aa aac bbe ga aa aag bb cae aa aagfbf eac ag aagb agcac aaa aaga aaa aaaa g aaaa aaaa gaag gaac caa eaa aa aa e ``` <!-- end of image -->	[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#73849aff b,#1f1a2aff c,#d4d7ddff d,#a3acbaff e,#4e4c57ff f,#95c796ff g,#b1d7b1ff ``` ```image c b ec ad ge b b b b b e ad da ce b b b b b ec ad ce b b b b b abd ebd ebc ebc bbc bbc bbc bb cbb cbb cbb cbe cbe dbe dbe dbe dbe aba aba aba aba ebd ebd ebd ebd ebg ebc bbc bbc bbc ffffffffffffffff bbc gggggggggggggggg cbb gggggggggggggggg cbbfggggggggggggggg cbbgggggggggggggg gfbbgggggggggggg gggfbbgggggggggg gggggabegggggggg gggggggabegggggg gggggggggabegggg cc gggggggggggagggg caaada gggggggggggggggg caaad a gggggggggggggggg caaad a gggggggggggggggg daaad a gggggggggggggggg daaac a gggggggggggggggg daaac dc gggggggggggggggg daaac dc gggggggggggggggg cdaaac cd ggggggggggdagggg cdaadc a ffffaaaaaaafffff cdaadc a cdaaaadc cdaadc a cdaaaadc caaadc adaaaadc aad cc ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#a0a0a8ff b,#1a1525ff c,#ceced3ff d,#342f3dff e,#46424eff f,#5a5662ff g,#b8b8bfff ``` ```image da bbda cfbbda cfbbda cfbbda cfbbda cfbbeg gebbeg gebbeg gebbeg gebbfc gebbfc adbbfc adbf ac ccgag ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#71829eff b,#1d1828ff c,#c3c7d0ff d,#9ca4b4ff e,#3e3a47ff f,#65616cff g,#e3e5e9ff ``` ```image c b fc ad cf e b b b b eg fc da ge b b b b b fc dd cf e b b b b fbd ebc ebc ebc ebg bbg gbbg gbbg gbbg gbb cbe cbe cbe cbe dbf dbf dbf dbf aba aba fba fbd fbd fbd ebc ebc ebc ebc bbg bbg gbbg gbbg gbb gbe cbe cbe cbe dbe dbf cg d caaada caaad a caaac a caaac a caaac a gdaaac dg gdaaac cc gdaadc gd cd gdaadg a gcdaaadcg gdaadg a gcaaaadcg gdaadg a gdaaaadc caaadg adaaaadc aadg cg ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bcb35aff b,#9a2833ff c,#d19da2ff d,#ded7b1ff e,#ccc582ff f,#f0ebdbff g,#b25c64ff ``` ```image ff cbbbgf bbbbbbbbgd cbbbbbbbbbbgc dgbbbbbbbbbbc dgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc eaa eaa eaa eaa eaa daa daa daa daa daa daa faa faaf faaf faaf faaf aad aaaaf daaaaa eaaaae aaaaad faaaaaf daaaaa eaaaae aaaaae aaaaad faaaaaf daaaaa eaaaae aaaaad faaaaaf daaaaaf eaaaaa eaaaae aaaaad faaaaaf daaaaa eaaaae aaaaad faaaaad faaaaaf daaaaa eaaaae aaaaad faaaaaf daaaaa eaaaaa eaaaae aaaaad faaaaaaaeeeddfff daaaaaaaaaaaaaaaaaaaaaaa eaaaaaaaaaaaaaaaaaaaaa ffdddeeaaaaa ``` <!-- end of image -->	[ "" ]
Time to put on my detective hat and find those intersection points! I've noticed 2 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#9bcce9ff b,#81b933ff c,#b0d7b0ff d,#2f95d2ff e,#9acb8eff f,#e8f3efff g,#60aed4ff ``` ```image dg dfd g d a df af ga g ag d fd d d g df a ga af ag g fd d eeeeeedeeeeeeeec d fcccccccdccccccce g fccccccccggccccce a fcccccccccgdcccce af fcccccccccccdccce g fccccccccccccdcce d fcccccccbeccccdce d fcccccccbbcccccgg g fccccccbcbccccccgg a fccccccbcbccccccefd af fcccccbccbcccccce d g fcccccbcceeccccce df d fcccceecccbccccce ga d fccccbccccbccccce ag g fccceeccccbccccce fd a fcccbcccccbccccce d af fcceeccccceecccce df g fccbcccccccbcccce ga d fccecccccccbcccce ag d fcbccccccccbcccce fd g febccccccccbcccce d a bfffffffffcffff df af b e ga g b b ag d b b fd d ef b d g b cf df a cf e ga af b b ag g cc b fd d b b d d fc cf df g b e ga a fe b ag af b b fd g e b d a d b cf df g d b c ga g g b b ag g ff b b fd g g ef b d g d b cf df a d ef fc ga faffgfffffffbff b ag fegcgecccccceecce b f fcgcgcccccccbccce b fcgcdcccccceeccce c fcgcdccccccbcccce fc fcgcgccccccecccce b fccgccccccbccccce b fccdccccccbccccce b fccdcccccbcccccce e fccdcccccbcccccce fc fccgccccbccccccce b fcccccccbccccccce b fccccccbcccccccce ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fccccccbcccccccce fccccceecccccccce fcccccbccccccccce fcccceeccccccccce fccccbcccccccccce fccceecccccccccce fcccbccccccccccce fccceccccccccccce eebeeeeeeeeeeeec e b ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a7d2ecff b,#a0ca63ff c,#c5dea0ff d,#2d94d2ff e,#7fb82dff f,#e1efe6ff g,#6ab3dfff ``` ```image ad fda eb ad adf cef ad ad eb ad gg cec ad dg be ad fda fec adfadf be adfgd fec adfgg be adfdg fec adada bef adgdf feb fdgd cef fddg eb fdda cef fdda eb fddf cef fdd eb fdg cec fda be af fec be fec be fec bef feb cef eb cef eb cef eb cec be fec be fec be fec bef ``` <!-- end of image --> The lines within area A do not intersect. Now, let's scrutinize the next spot. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#c0dff1ff b,#9fc962ff c,#c0dc98ff d,#399ad4ff e,#7eb72cff f,#e0eecdff g,#75b9e1ff ``` ```image gdg add adda adda gdg gdg add adda adda gdg gdg ce add eef adda ceec adda bbeb gd fecbe g be ce fec fef be ec fec eb be be fec ce cef fef eb ec cef eb eb be cef ce eb fef cef ec bb eb fec be be ce fec fef be ec fec eb be bb fec ce cef fef eb fec cef eb eb bb ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9bcce9ff b,#9bc75bff c,#c3de9dff d,#2f95d2ff e,#7db72aff f,#dbeceaff g,#5dacdcff ``` ```image dg dfd g d a df af ga g ag d fd d d g df a ga af ag g fd d d d df g ga a ag af fd g d d ec df d bb ga g b e ag a e e fd af b b d g e ff df d cf b ga d e e ag g cc e fd a e b d af fc cf df g e b ga d fc e ag d e e fd g b b d a e cf df af b b ga g b e ag d e e fd d b b d g e cf df a cf c ga af e e ag g cc e fd d e b d d fc cf df g e c ga a fc e ag af e e fd g b b d a d e cf df g d b c ga g g b e ag g ff e e fd g g b e d g d e c df a d cf c ga a g e e ag a ff cf e f a g e e a d fc c afd e fc afa fc b faf e e fd b e fd e c fd b fc fa b b e e b bbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbb e cf e cf e fc e fc e b e ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#49ac95ff b,#56766dff c,#a4d3c8ff d,#dcebe7ff e,#79948bff f,#b0d6b0ff g,#8ec3a1ff ``` ```image d dbe fbbe cbbe dbbb dbbb dbbb gggggggggggggggf bbbfffffffffffffffg bbbffffffffffffffg bbbfffffffffffffg bbbffffffffffffg fbbbgffffffffffg ffbbbgfffffffffg fffbbbgffffffffg ffffebbefffffffg fffffebbeffffffg ffffffebbefffffg fffffffgbbbffffg ffffffffgbbbfffg fffffffffgbbbffg ffffaafffffbbbfg fffgaaffffffbbbg fffgaafffffffbbb fffaaaffffffffbbb fffaaafffffffffbbb gffaaagffffffffgbbbd aaac bbbd gd aaac bbb ebbb aaag bbe dbbbbbd aaaa dbbd cbbbbb aaaa ebb fbbbbe aaaa bbe ebbbbf aaaa dbbd ebbbbc aaaa ebb dbbbbbd daaaa bbe dbbbbe daaaad dbbd fbbbbe caaaac ebb gbbbbg caggag bbe ebbbbc gaccaa dbbd dbbbbbd aacdaa ebb dbbbbb aad aa bbe fbbbbe aad aa dbbd gbbbbg aa aa ebb ebbbbf aa aa bbe bbbbbd gaa aad dbbbbbbbd aad aac ebbbe daa gag bg aac caa aa daa aaa aa cc aa aa caaaaaa caa aa caaaaaaaaaac aad aa caaaaaaaaaacd daa aad caaaaaaaaaacd aac aac caaaaaaaaaacd aa gag caaaaaaaaaacd aaa caa dcaaaaaaaaaacd aa daa dcaaaaaaaaaacd caa aa dcaaaaaaaaaacd aad aa dcaaaaaaaaaacd daa aa aaaaaaaaaacd aac aa aaaaaacd aa aad aad aaa aac daa aa gag aag caa caa aa aad daa daa daa aa aag cag aa aa aa daa aa gag aad aad aac aa gaggaa caaaad daaaa aaaa aaad aaa aaa aad c ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#49ab95ff b,#55766dff c,#9dbeb6ff d,#c1d4d0ff e,#86a49cff f,#6d8982ff g,#e6ecebff ``` ```image c be bbe bbbe bbbbfg bbbbbfg dbbbbbfg dbbbbbfg dbbbbbfg gbbbbbbd gfbbbbbd gfbbbbbd gfbbbbbd gfbbbbbc ebbbbbc ebbbbbc ebbbbbe ebbbbbe cbbbbbe cbbbbbfg dbbbbbfg dbbbbbfg dbbbbbfg dbbbbbbg g gbbbbbbd caad gfbbbbbd gaaaa gfbbbbbd daaaag gfbbbbbd daaaag gfbbbbbc daaaad ebbbbb caaaad ebbbb caaaac ebbb caaaac cbb eaaaae cb aaaaaa c aaaaaa aaaaaag ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#47ab94ff b,#56766eff c,#9fcdc3ff d,#cce1dcff e,#809891ff f,#67b9a6ff g,#e9f1efff ``` ```image g gbe cbbe dbbb dbbb gbbb gbbb bbb bbb bbbg bbbg bbbd bbbd ebbc ebbc ebbe cbbe cbbe dbbb g dbbb gaa gbbb daa gbbb caa bbb faa bbb faa bbbg aaag bbbg aaad bbbg eg aaac bbb ebbb aaaf bbe gbbbbbd aaaa gbbg dbbbbbg aaaa ebb cbbbbe aaaa bbe ebbbbc aaaa gbbg ebbbbd aaaa ebb gbbbbbg gaaaag bbe dbbbbbg daaaad dbbg cbbbbe caffac ebb ebbbbc cafcaf bbe ebbbbc facdaa dbbg gbbbbbd facgaa ebb dbbbbbg aad aa bbe cbbbbe aag aa dbbg ebbbbe aa aa ebb ebbbbc aa aag bbe gbbbbbd caa aad dbbbbbbbg aad fac ebbbe daa caf be aac caa gaa gaa faf aa cd aa aa cfaaaaf caa aa cfaaaaaaaaac aad aa gcfaaaaaaaaacg daa aad gcfaaaaaaaaacg aac fac gcfaaaaaaaaacg aa caf gcfaaaaaaaaacg faf caa gcfaaaaaaaaacg aa daa gcfaaaaaaaaacg caa aa gcaaaaaaaaaacg aad aa gcaaaaaaaaaacg daa aa aaaaaaaaaacg aac aa aaaaafcg aa aad aag faf fac daa aag faf fac caa caf aa aad daa gaa daa aa faf dac aa aag aa gaa aa faf aad aag aacgaa facfaf cafaag daaaa aaaf aaad aaa aaa aad gc ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#2fedd5ff b,#dbb190ff c,#93f5e8ff d,#f3e7ddff e,#ccfaf4ff f,#5cf0ddff g,#e8ceb9ff ``` ```image ddggbbbbbbbb ddggbbbbbbbbbbbbbbbbbbbb ddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdd dggbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdd bbbbbbbbbbbbbbbbbbbbggdd dbbbbbbbbbggdd gbbbb bbbbd dbbbb gbbbb bbbbd bbbb gbbbb bbbbg bbbb gbbbb bbbbg bbbb gbbbb bbbbg bbbb fe dbbbb caaa bbbbg eaaaaa bbbbd aaaaae dbbbb faaaac bbbbg caaaaf bbbbd eaaaaa dbbbb aaaaae gbbbg faaaac bbbbd caaaaf bbbb eaaaaa bg aaaaae aaaaac faaaaf caaaaa eaaaaa aaaaae faaaac eaaaaf caaaa faaae aaaa aaaa eaaaf caaac faaae aaaa aaaa eaaaa caaaf faaae aaaa aaaa eaaaa caaaf faaac aaaae aaaa eaaaa caaaf faaac aaaae aaaa eaaaa eaaaf faaac aaaae aaaa aaaa eaaaf caaac faaae aaaa aaaa eaaaf caaac faaae aaaa aaaa aaaf ac ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#06503eff b,#49f5ccff c,#749d93ff d,#acd4afff e,#8bf6daff f,#e1f2ecff g,#3f786aff ``` ```image cc gaag daaaa aaaaa aaaaaac aaaaaaaa caaaagaaa faaaa faaa aaaaf aaac aaaac aaaa gaaaa gaaa daaaa faaa aaaaf aaac aaaad aaaa gaaag caaa caaaa faaa faaaa aaac aaaad aaaa aaaag caaa gaaaa faaa daaaa aaac aaaaf aaaa aaaac caaa gaaag faaaf daaaa aaac faaaa aaaa aaaad caaa aaaag faaaf caaaa aaac faaaa aaaa aaaaf caaa aaaac faaaf gaaaa aaac daaaa aaaa faaaa caaa caa aaaad faaaf caaad aaaag aaac caaaag caaaa aad caaaaaa faaaa caaaaaaa aaaaf caaaagaaa aaaac gaaaaddaaa gaaaa gaaaad aaa daaaa gaaaaf aaad aaaaf gaaaaf aaac aaaad gaaaaf aaag aaaag gaaaaf aaaa caaaa gaaaaf gaaa faaaa gaaaaf caaa aaaaf gaaaaf faaa aaaac gaaaaf aaaf gaaaa gaaaaf aaad daaaa aaaaaf aaac aaaaf aaaaaf aaag aaaad aaaaa aaaa gaaag aaaaa caaacaaaa aaaaa daaaaaaa ebbbf aaaaa faaaaaad ebbbbbbbf gaaaa aaaaac bbbbbbbbbbbbe gaa dddaaaaadddddddd fbbbbbbbbebbbbbbbb g fdddaaaaddddddddd fbbbbbbbb ebbbbbbbbf fdddgaaddddddddddebbbbbbbb fbbbbbbbbe fddddddddddddddebbbbbbbe bbbbbbbbe fddddddddddddbbbbbbbbe ebbbbbbbb fddddddddddbbbbbbbbf fbbbbbbbbf fddddddddbbbbbbbbf fbbbbbbbbe fddddddbbbbbbbbdd ebbbbbbbe fdddebbbbbbbbdddd ebbbbbbbbf fdebbbbbbbbdddddd fbbbbbbbbf ebbbbbbbedddddddd bbbbbbbbe ebbbbbbbedddddddddd ebbbbbe bbbbbbbbddddddddddddd ebbb fbbbbbbbbddddddddddddddd fe fbbbbbbbbfdddddddddddddddd ebbbbbbbe fdddddddddddddddd ebbbbbbbe fdddddddddddddddd ebbbbbbbe fffffffffffffff bbbbbbbbf fbbbbbbbbf fbbbbbbbb bbbbbb bbbe fe ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#06503eff b,#48f6ccff c,#78a097ff d,#a8f4e2ff e,#7bf8daff f,#ddf9f3ff g,#357162ff ``` ```image gaaaaaaaaag caaaaaaaaaf caaaaaaaad daaaaaaac faaaaaag caaaagf cggcf fdb febbb febbbbb febbbbbbb debbbbbbbbb dbbbbbbbbbbbb fdbbbbbbbbbbbbbb febbbbbbbbbbbbbbbe febbbbbbbbbbbbbbbdf febbbbbbbbbbbbbbbd debbbbbbbbbbbbbbbd dbbbbbbbbbbbbbbbed dbbbbbbbbbbbbbbbef fdbbbbbbbbbbbbbbbef bbbbbbbbbbbbbbbdf bbbbbbbbbbbbbd bbbbbbbbbbbd bbbbbbbbed bbbbbbef bbbbef bbef df ``` <!-- 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	<!-- image --> ```palette Key,Color ,#fefefeff a,#06503eff b,#49f6ccff c,#729b91ff d,#b0c7c1ff e,#8ff9dfff f,#d9f0ebff g,#397365ff ``` ```image cc gaag daaaa aaaaa aaaaaac gaaaaaaa caaaagaaa faaaa faaa aaaaf aaac aaaac aaaa gaaaa caaa daaaa faaa aaaaf aaac aaaad aaaa gaaag caaa caaaa faaa faaaa aaac aaaad aaaa aaaac caaa caaaa faaa daaaa aaac aaaaf aaaa aaaac caaa gaaag faaa daaaa aaac faaaa aaaa aaaad caaa aaaag faaaf caaaa aaac faaaa aaaa aaaaf caaa aaaac faaaf gaaag aaac daaaa aaaa faaaa caaa caa aaaad faaaf caaad aaaag aaac caaaag caaaa aad caaaaaa faaaa caaaaaaa aaaaf caaaagaaa aaaac caaaaddaaa gaaaa gaaaad aaa daaaa gaaaad aaad aaaa gaaaaf aaac aaaad gaaaaf aaag gaaag gaaaaf aaaa caaaa gaaaaf gaaa faaaa gaaaaf caaa aaaaf gaaaaf faaa aaaac gaaaaf aaaf gaaaa gaaaaf aaad daaaa aaaaaf aaac aaaaf aaaaa aaag aaaad aaaaa gaaa gaaag aaaaa caaacaaaa aaaaa daaaaaaa ebbbf aaaaa faaaaaad ebbbbbbbf gaaaa aaaaac bbbbbbbbbbbbe gaa aaaaa fbbbbbbbbebbbbbbbb g aaaa fbbbbbbbb ebbbbbbbbf caaf ebbbbbbbb fbbbbbbbbe ebbbbbbbe bbbbbbbbe ebbbbbbbe ebbbbbbbb bbbbbbbbf fbbbbbbbbf bbbbbbbbf fbbbbbbbbe fbbbbbbbb ebbbbbbbe fbbbbbbbb ebbbbbbbbf ebbbbbbbe fbbbbbbbbf ebbbbbbbe bbbbbbbbe bbbbbbbbe ebbbbbe bbbbbbbbf ebbb fbbbbbbbbf fe fbbbbbbbb ebbbbbbbe ebbbbbbbe ebbbbbbbe bbbbbbbbf fbbbbbbbbf fbbbbbbbb bbbbbb bbbe e ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#25b539ff b,#0b6d43ff c,#91cba2ff d,#5fae7cff e,#b8dec2ff f,#deefe4ff g,#328460ff ``` ```image a aaa aaaae aaaaf faaaa eaaaa caaaa daaaa aaaad aaaac aaaae aaaaf faaaaf faaaa c eaaaa eaa caaaa aaaa daaaa eaaaae aaaad aaaad aaaac aaaaa aaaae caaaaf aaaaf faaaac faaaa aaaaa eaaaa daaaa caaaa eaaaae daaaa bd aaaad aaaad bbbf aaaaa aaaac cbbbg caaaaf aaaae bbbbb faaaac aaaaf dbbbbbe aaaaa faaaaf bbbebbb daaaaf faaaa bbbg bbb eaaaae eaaaa ebbb dbbd aaaad caaaa bbbc bbb aaaaa daaaa dbbb bbbf caaaaf aaaad bbbf cbbg faaaad aaaac gbbg bbb aaaaa aaaae fbbb gbbc daaaaf aaaaf bbbd fbbb eaaaac faaaa cbbb bbb aaaad eaaaa bbbe dbbd aaaaacaaaa dbbb bbb caaaaaaa bbb bbbf faaaad bbbg cbbg aac ebbb bbb bbbc gbbc dbbb fbbb bbbf bbb gbbg dbbd fbbb bbb bbbd bbbf cbbb ebbg bbbe bbb dbbb gbbc bbb fbbb bbbg bbb c ebbb dbd cbb bbbc bbbbc dbbb ebbbbb bbbf gbbbbc gbbg ebbbbb fbbb gbbbbd bbbd ebbbbb cbbb gbbbbd bbbe fbbbbb dbbb gbbbbd bbb fbbbbbf bbbg gbbbbd ebbb fbbbbbf bbbc gbbbbd dbbb fbbbbbf fbbbf dbbbbd bbbd fbbbbbf bbbb dbbbbg dbbb fbbbbbf fbbbe dbbbbg bbbg fbbbbb gbbb dbbbbc cbbb fbbbbbbbbc gbbbbbg ebbbb bb ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. 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,#2947d3ff b,#e5e4b4ff c,#5d74dbff d,#9ca9eaff e,#cbc96aff f,#add4adff g,#d6dcf6ff ``` ```image gg cccaaaaaaaaaaaaccdddgg a ggdddcccaaaaaaaaaaaaccd ag ggcd dc gc a a cd a a a dd a a cg a dd a gc dd a a a a a a a dd cg a dd a gc ga a cd a a a a gc cg a a gc cg a a dc cg a a dd a a a dd e a be a be a eb dd eb a be a ee gc eb cd be a ee a eb gc be cg ee a eb a e gc be cg ee a eb ad be gag ee da eb ca be cc ee ad eb ag e gag be da ee ca eb ac be ad ee fffffffffaffffff eb ffffffffafffffff be ffffffcaffffffff ee fffffcafffffffff eb ffffacffffffffff beee fffacfffffffffff beeeeeb ffafffffffffffff bbeeeeb faffffffffffffffbeeeebb ffffffffffeeeeeeb fffffeeeeeffffff feeeefffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffff ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2c49d4ff b,#dcdb9aff c,#5a70ddff d,#97a6e9ff e,#cbc866ff f,#edeccbff g,#d5dbf6ff ``` ```image daad caag gcaag gaac gaac daad daad caag gcacg gaac gaac daad daad caag gcacg ac g ffbbee fbbeeeeeeee ffbeeeeeeeebbff ffbbeeeeeeebbff fbbeeeeeeeebff eeeeebbff bff ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#2947d3ff b,#d9d790ff c,#5d73ddff d,#9ca9eaff e,#cbc865ff f,#ecebc7ff g,#d6dbf6ff ``` ```image gg cccaaaaaaaaaaaaccdddgg a ggdddcccaaaaaaaaaaaaccd ag ggcd dc gc a a cd a a a dd a a cg a dd a gc dd a a a a a a a dd cg a dd a gc ga a cd a a a a gc cg a a gc cg a a dc cg a a dd a a a dd e a fe a be a eb dd ef a be a eb gc ef cd fe a ee a ef gc fe cg be a eb a fef gc be cg eb a ef ad fe gag ee da ef ca fe cc be ad eb ag fef gag be da eb ca ef ac fe ad ee ag ef ga fe da be ca eb ac fbeef ad fbeeebf ag fbeeeebf a fbeeeebf feeeebf fbeeebf eeef ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#f9a327ff b,#99be9fff c,#fcd7a2ff d,#b1d5b1ff e,#efefe6ff f,#778891ff g,#f2bb62ff ``` ```image e a a ac gag cag ea a a a a cg a a gg a ea a ea gc gc ae a a a cc ac gc a ea ea a cg a a ac ge a ac a a a eeeeeeeeeeeeca ae a gc bddddddddddddadb a cg cg bdddddddddddagdb ae ae a bddddddddddgaddb ea a a bddddddddddadddb ae a a bdddddddddaddddb ea cc ge bddddddddgaddddb a a cg bddddddddadddddb ca a a bdddddddaddddddb a ea a bddddddgaddddddb cg gc a bddddddadddddddb a a ae bdddddaddddddddb cg a cc bddddggddddddddb a cg ea bddddadddddddddb gg ge a bdddadddddddfbdb a a a bddggdddddddffdb gc a a bddaddddddddfbfb a cg gc bdaddddddddbfdfb gc ae cg bagddddddddfbddf a a a babbbbbbbbbfbbbfd ac a a a f f a cc a ac f ef ae a ge ea dd fe ea a cg a fe f ae ea a ac f bb ea gc a ca f f a a a a ef ef ea a ae ac dd fd a cg gc ca f f ca ge eg a f df a eeeeeeaeeeee a ac f fe cg ddddddaddddbe a ca ef f a dddddggddddde a a bd bd cg dddddadddddde gc ae f f a dddddadddddde cgcg f ef gg dddddadddddde aa f fe a ddddggdddddde ae eb f gc ddddaddddddde be db a ddddaddddddde f fe gc ddddaddddddde f ef a dddggddddddde f fd g dddadddddddde db f dddddddddddde fe df dddddddddddde f fe dddddddddddde f f dddddddddddde f bb dddfbddddddde dd f dddbbfffffbbe fe ef dddddddddbbffffbde f fd eeeeeeeeeeee ebffffbd f f ebffffbe ef df ebffffbe dd fe dbffffbef ef dbf bd f ef fe f bb f ef fd f df fe f bb f ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#faa328ff b,#a0abb2ff c,#fcd7a2ff d,#c9d0d3ff e,#f5ecddff f,#758690ff g,#fbbe67ff ``` ```image cag gac aae eaa cag gac aae eaa cag gac aa eag cac gae aa cag gac aae eaa cag gac aae eaa ee bbdde effffffbbdde edbbffffffffbbdde edbbfffffff edbbf ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Okay, let's proceed to the next area. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#faa226ff b,#b8c0c5ff c,#fcdbacff d,#fbc577ff e,#f7eee0ff f,#788992ff g,#fab451ff ``` ```image eaac dag caae eaac gad caae eaac gad caa eaac gad cag eaae gad dag eaae gad dag eaae gac dag caae aac dag caae eaac dag bb caae effb eaac bfff gad bfffb caae ffbffe eaac ff bff gad eff ffb caa bfb eff eaac bfb bf gad ffe ef ``` <!-- end of image --> Unfortunately, there's no intersection inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#faa226ff b,#9faab1ff c,#fcd49bff d,#c8ced2ff e,#f6ebdaff f,#768690ff g,#faba5fff ``` ```image e a a ae gag cag ea a a a a cg a a gg a ea a ea gc gc ae a a a cc gc gc a ea ea a eg a a gc ge a ac a a a ca ae a gc a a cg eg ac ae ae a ca ea a a a a a a ae ea cc ge ca a a cg a ea a a ae a ea a cg cg gc a a a a ae ae cg a cc gg a eg eg ea gg ge a ae fd a a a gg ff gc a a ea fdb a cg gc a db f gc ae eg gg be f a a a ea f bd ae a a a f f a cc a gc f df ae a ge ea db fe a a cc a fe f ae ea a ac f bb ea gc a ca f f a a a a ef ef ea a a ac bd fd a eg cc ca f f ca ge eg a f df a a a ae f fe cg a a ca eb f a cg a a bd bb cg ae gc ae f f a a cgcg f df gc a aa f fd a cc ae db f gc a bd bb a a f f gc ea f ef a gc f fd g a db f be df f fe f f f bb bde db f edffffbd fe ef ebffffbd f fd dbffffbd f f dbffffbd ef db dbffffbd bd fe dbffffbdf f dbf bb f df fd f bb f ef fd f df fe f bb f ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#242c87ff b,#cf442fff c,#9da1c9ff d,#e9aca3ff e,#db7667ff f,#6066a8ff g,#e1d7e0ff ``` ```image afccg aaaaaaaaaaafccg gcfaaaaaaaaaaaaafccg gcfaaaaaaaaaa gcac aa cag aa fa ac aa ca af aa gag ag aa aa fa aa af aa aa aa gag aa aa aa fa aa ac aag aa aag ca aag af aag aa aag gac aag aa aag ca aag af aag aa aag gag aag aa aac fa aac ac aac aa aac ca aac af aac fa aac gac aac aa aac ca fac af faf aa faf gag faf aa faf fa faf aaaf aaf gc d debbbbbd debbbbbbbedg debbbbbbbedg gebbbbbbbbdg gebbbbbbbbeg gdbbbbbbbbeg bd gdebbbbbbbed bb gdebbbbbbbed eb debbbbbbbed bd gbbbbed bb bbbg eb ebbd gbg dbbe be gbbb bb bbbg gb ebbd be dbbe bb gbbb db bbbg be ebbd bbbbe dbb ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4404ff c,#98ca8bff d,#edf3e8ff e,#c38d63ff f,#6eba4dff g,#b2d7b0ff ``` ```image dbbe eg gbbbbbb ccebbbbbbecc ebbbbbbed ggcebbbbbbbbbbed gcccccccccbbbbbbbe gggggggcebbbbbbbbbbed cgggggcbbbbbbbegd ggggggggggggdebbbbbbbbbbeg cggebbbbbbbcggggd ggggggggggggd gebbbbbbbbbeg ebbbbbbeggggggggd ggggggggggggd gebbbbbbbbbeg debbbbbbegggggggggggd ggggggggggggd gebbbbbbbbbbed gbbbbbbbcgggfggggggggggd gggcggggggggd debbbbbbbbbbed ebbbbbbed cgggaaafggggggggd ggfaagggggggd debbbbbbbbbbbbbbbe cgggaaaaacggggggd gggaaaggggggd debbbbbbbe cgggaacaaaagggggd ggggaaagggggd d cgggaaggfaaafgggd ggggcaafggggd cggcaaggggaaaacgd gggggcaafgggd cggfaagggggcaaaad ggggggcaafggd cggaafgggggggfaaac gggggggfaacgd cggaacgggggggggaaaad ggggggggfaacd cggaaggggggggggggaaaa gggggggggfaad cggaagggggggggggd faaac ggggggggggaaad cggaagggggggggggd aaf gggggggggggaaa cgcaagggggggggggd g ddddddddddddaaa cgfafggggggggggcd aaa daagddddddddddd aaa aad aaa aa aaa aa daaa daa daaf caf daaf fac gaac aad gaac aa caag aa faag daa faad gaa faad faf aaa aag aaa aa aaa aa aaf aa daad gaa faa caf aaf fac daad aad faa aa aac aa gaa daa aaa gaa aag fac caa aag aaf aa daad aa faa aa aaf gaa daad caf faa aac aac aad gaa aa aaa aa aag daa caa gaa aaf fac daad aag faa aa aaf aa daad aa faa gaa aac caf gaa aag aaa aad aag aa caa aa aaf daa daad caa faa fac aaf aag daadaa faaaa aaaa gaaa aaf 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,#42a613ff b,#ac4203ff c,#add899ff d,#e4e8d4ff e,#dcb096ff f,#6cba48ff g,#c47a4dff ``` ```image dbbbbbbgged ebbbbbbbbbbbgged ebbbbbbbbbbbbbbbbbg deggbbbbbbbbbbbbbbb deggbbbbbbbbbb deegbbbbb deeg cc caad caaaad faaaaad faaaaad faaaafd dfaaaaf daaaaaf daaaaaf daaaaaf daaaaaf caaaaac caaaaac caaaaac caaaaac caaaaac faaaaad faaaaa faaaa faaa faa dfa ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Alright, let's concentrate on the next area. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4304ff c,#9cd084ff d,#e8eddcff e,#ca875eff f,#70bb4dff g,#d1d4b1ff ``` ```image dgebbbbbbbbbb deebbbbbbbbbbbbe gebbbbbbbbbbbbbeg gebbbbbbbbbbbbbeg dgebbbbbbbbbbbbeed deebbbbbbbbbbbbegd ebbbbbbbbbbbbbeg bbbbbbbbbbbeg bbbbbbbeed bbbbegd beg ccg caaafd aaaaaac daaaaaaaag gaaaaaaaaafd caaaaaaaaaaac caaafgfaaaaaaag faaac caaaaaaafd aaaac dfaaaaaaac aaaag gfaaaaaaag daaaad caaaaaaafd gaaaa dfaaaaaaac caaaf gfaaaaaaa faaaf caaaaaa faaac dfaaaa aaaag gfaa daaaad ca gaaaa d caaaa caaaf faaac aaaac aaaag daaaad gaaaa caaaf faaaf ``` <!-- end of image --> No intersection in area B, but I'll keep looking. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4303ff c,#9fd288ff d,#dae3c8ff e,#d5a081ff f,#6fbb4cff g,#bf6e3dff ``` ```image dgbe ge ebbbbbb dbbbbbge ebbbbbbg debbbbbbbbbbed gbbbbbbe debbbbbbbbbbed dgbbbbbbd egbbbbbbbbbgd ebbbbbbgd egbbbbbbbbbgd ebbbbbbe dgbbbbbbbbbge dgbbbbbbe dgbbbbbbbbbge dbbbbbbbd c c debbbbbbbbbbed ebbbbbbgd aaac caa debbbbbbbbbbbbbbbe aaaaad aaa egbbbbbbe aadaaaa aaf d aa faaac daaf daa aaaad daac caf daaaa caac fac faaac caac aad aaaad faad aa daaaa faad aa faaac faa aa aaf aaa caa d aaa faf aaa aad aaa aa aaa aa aaa aa aaa daa aaf caf daaf fac daac aad caac aa caad aa faad aa faad caa faa faf aaa aad aaa aa aaa aa aaf aa aad daa faa caf aaf fac daa aad faa aa aac aa daa aa aaa caa aad fac caa aad aaf aa aad aa faa aa aaf daa daa caf faa aac aac aad daa aa aaa aa aad daa caa caa aaf fac aad aad faa aa aaf aa daa aa faa daa aac caf daa aac aaa aad aad aa caa aa aaf daa aad caa faa fac aaf aad daa aa faaaa aaaa daaa aaf c ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3ca727ff b,#93c882ff c,#daecd5ff d,#4b9622ff e,#b6d8a9ff f,#79b962ff g,#57ac3fff ``` ```image c fddddddfbec gdddddddddddddddgfec cebgddddddddddddddddddddddfbe cebfddddddddddddddddddddddgbec cefgdddddddddddddddddddddgfec cebgddddddddddddddddddddddfbec ebfddddddddddddddddddddddgbec cebgdddddddddddddddddddddgfb cebfdddddddddddddddd cefgddddddb ddd fddc ddd ddd cddf ddd bdde ddd gdd ddg baagbc ddd gaaaaaaaagbc edde bgaaaaaaaaaaaaagbc ddd cbgaaaaaaaaaaaaac fdd cbgaaaaaaaaf e cbaaaaa caaaab gaaaa caaaae gaaag eaaaac aaaag baaaac aaaaf faaaa caaaab gaaaa eaaaae aaaag baaaac aaaaf faaaa caaaab gaaaa caaaae gaaag eaaaac aaaag baaaac aaaaf faaaa caaaab gaaaa eaaaae aaaag baaaac aaaaf faaaa caaaab gaaaa caaaae gaaac eaag aaa eaae aaa gaa caaf aaa faac aag aaa eaae aaa gaa caab aaa faac aag aaa eaf ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe1a97ff b,#ee67b0ff c,#d82d8aff d,#f9a6d3ff e,#f8e4eeff f,#b1d6b0ff g,#96c895ff ``` ```image d daa eaaa aaa aaae baad eaaa aaa aaa baad daab e aaa daa aaa baaa aaae baab daab aaab eaaa aaab aaa aaab aaae aaab baad aaad eaaa aaad aaa aaad aaa aaad aaad aaae daab aaae eaaa aaae aaa aaae aaae aaae baad eaaa eaaa eaaa aaa eaaa aaa eaaa baad eaaa daab daaa aaa daaa aaa daaa aaae daaa daab daaa eaaa baaa aaa baaa aaae baaa baad baaa eaaa baab aaa aaab aaa aaab baad aaab daab aaab eaaa aaad aaa aaad aaae aaad baad aaad eaaa ggggggaaagaaaggf efffffffaaaaafffg eccb effffffffaaabfffg dccccccce efffffffffabffffg bcccccbcccccd efffffffffffffffg ecccccce dcccccbefffffffffffffffg dcccccb eccccccffffffffffffffg bcccccd bcccccffffffffffffg ecccccce bcccccffffffffffg dcccccb efbcccccbfffffffg bcccccd effffccccccfffffg bcccce effffffccccccfffg cb effffffffbcccccfg effffffffffbcccccb efffffffffffffcccccb efffffffffffffffcccccce efffffffffffffffg bcccccd efffffffffffffffg dcccccb efffffffffffffffg ecccccb efffffffffffffffg cccccce efffffffffffffffg bcccccd gggggggggggggggf dcccccb ecccccb cccccce bcccccd dcccccb ecccccb cccccce bcccccd dcccc ecd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe1896ff b,#f16eb5ff c,#d92b8aff d,#f3b6d7ff e,#fadaebff f,#e2479cff g,#ef92c5ff ``` ```image gaaaaaad faaaaae gaaaaaaebaaaaag baaaaaaaaaaab baaaaaaaaaf baaaaaaaae baaaaaad baaaab baab ee be ccfd ccccfg cccccccge cccccccccbe bccccccccccfd egfcccccccccfg dfccccccccccge dbccccccccccbe ebccccccccccfd egfcccccccccfg dfccccccccccge dbccccccccccbe ebccccccccccfd egfccccccccc dfccccccc dbccccc ebccc egf ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#fe1896ff b,#f57abdff c,#d92c8aff d,#f7acd5ff e,#fbdcedff f,#fe41a8ff g,#e057a2ff ``` ```image d daf eaaa aaa aaae baab eaaf aaa aaa faad daaf e aaa daf aaa faaf faae faaf baab faaf eaaa faab aaa aaab aaae aaab baad aaab eaaf aaad aaa aaad aaa aaad faad aaae daaf aaae eaaa aaae aaa aaae aaae aaae baab aaa eaaf eaaa aaa eaaa aaa eaaa faad eaaa daaf daaa aaa daaa aaa daaa faae daaa baab baaa eaaa baaa aaa baaf aaae faaf baad faaf eaaf faaf aaa faaf aaa faab faad aaab daaf aaab aaa aaab aaa aaad aaae aaad baab aaad eaaf aaaeaaa aaaaa eccg aaad dccccccce ab bcccccbcccccd ecccccce dcccccb dcccccg ecccccg gcccccd gccccce ecccccce bcccccd dcccccg dcccccb gcccccd ecccccg gcccce gccccce cb bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccc ecd ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#442e71ff b,#729aceff c,#adbcdaff d,#260c5aff e,#69578dff f,#d9ddebff g,#9487adff ``` ```image fc bbbb bb cbbb bb cbbbf bb cbbbf bbf fbbbc bbf fbbbc cbc bbbb cbc bbbb fbb cbbbf fbb cbbbf bb fbbc bb f cbb fbbbbb cbbbbbf fbbbbbc cbbbbbf fbbbbbc fcbbbbbf cbbbbbc fbbbbbcf cbbbbbf fbbbbbc cbbbbbf cbbc bb bb bb bc bf fb fffccgggeeeaadddde cb dddddddddddddddddddddddddddc bb fdeegggccfff dd bb ed dd bb dd fda bc fdc gdg bf ad adf fb da dd cb fdf dd bb ad cda bb da edg bb cdf ddf bc ad dd bf da fdd fb cdf gde cb dd adc bb de dd bb cd dd bb dd fda bc de edg bf gd adf fb dd dd cb de dd bb gd cde bb dd edc bb dg dd bc gd dd cf dd fda dg gde ed adf dd dd dg dd ed cda dd edg fdc ddf ad dd cde fdd dd gde adf adc fde dd dd dd adf fda fde gdg dd adf edf df fda dd edf fda f ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#35b039ff b,#ee80fdff c,#9cd89dff d,#f6c2feff e,#cfecd0ff f,#e746fdff g,#64c267ff ``` ```image ddbb dddbbffffffffffffffd ddbbbfffffffffffffffbbbdd dfffffffffffffffbbddd ffbbdd ff ff ff ff ff ff ff ff ff ff bfd bfd bfd dfd dfb dfb dfb fb c ff aa ff aaaa ff ca ag ff ag eae ff ga ga ff ae aa ff aa aa ff ca ag ff ag cae ff ga ga bf ac aa bfd aa aa bfd ea ac bfd ag cae dfd ga ga dfb ac aa dfb aa aa dfb ea eac ff ag cae ff ca ga ff ac aa d aa ag eae eac aa cae ca ga ac aa aa ag eae eac aa cae ca g ag ga ae aa ca ag ga ae aa ea ag ga ac aa ea ag ga ac aa eae egaaag egaaaage caaaaace caaaaac egaaaagc egaaaage aaage ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6b9560ff b,#56e720ff c,#b7ddaaff d,#477d3bff e,#daecd4ff f,#95b48eff g,#8def69ff ``` ```image cccceeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggggggccccceeeee eeeeecccccgggggggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gb be cb b e dd dcfd dc df e df d de df fd edd df df caad df d fa df df fd af de df df dc cd df d de ad da fd d df da df d d da d d cd da fd d aa da da d dc da de ed d da cd cd e da da fa da de af dd cd dc dd da de dd de d dd cd d dd da d dd de d dd cd d ad da ed ad de cd ad ed fa ad aa af ad de dc ad ed de ad aa d ad de d ad ed d a ad d dc d ed ed ad cd dc fa ed af ad af dc de ed de add dd d ``` <!-- end of image -->	[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#5ddfc8ff b,#2a28faff c,#b8e5ecff d,#0ad1b1ff e,#7377f0ff f,#b0d7b1ff g,#93c89bff ``` ```image c dc cd d dc cd d d aa d d aa d d aa d d aa d d aa d d ac ca cd dd d dcd dc d ad cd d da d ca dc dc ac d cd d cd d d ad dc d da cd cd d d aa cd dc dc ad cd d da d d dc d d d aa aa cd d dc ad d d da aa d d d d cd d cd ad aa aa da d d dc d d d aa d cd d cd ad d aa da aa dc d d d cd d d ad ac d da cd ca dc d ac d dc d cd cd d ad dc d da d cd d cd aa cd da dc ad d d da cd d dc da d d cbbc fgggggdgggggadgggg cd b cbb gffffffdffffdgffff ad be cbb gffffffadfffdfffff dc cb cbb gfffffffdgffdfffff dc bc cbbgffffffffdffdfffff gfffffffffgdffffffff eb ebbfffffffadadfffff gffffffffffadfffffff b gebbffffffddafffff gfffffffffffdaffffff bc gffebbfffffdffffff gffffffffffffdgfffff eb gffffebbffffffffff gfffffffffffffdfffff b gffffffebeffffffff gfffffffffffffadffff bc gffffffffebeffffff gffffffffffffffaffff eb gffffffffffbbeffff gfffffffffffffffffff b gffffffffffffbbeff ccccccceeeeeeeebbbbbbbbbbbbbbbbffff gffffffffffffffbbbbbbbbbbbbbbbbbbbbbbeeeeeeeeeeeeggggfffffffffffff gfffffffffffffffff gfffffffffffffffffff gfffffffffffffffff gfffffffffffffffffff gfffffffffffffffff gfffffffffffffffffff ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4cddc6ff b,#2723fdff c,#96ebddff d,#09d1b1ff e,#6d6afdff f,#b2b0feff g,#dbe9f8ff ``` ```image cddg cda ada adc gddc ddc cddg ddg add gdd dda cda cddc ada addg adc f dda ddg bbf gddc gdd bbbbf cddgcda fbbbbf adacda fbbbbf gddddc gebbbbf cdddc gebbbef addg gebbbef gda gebbbef gebbbeg gebbbeg gebbbeg gebbbeg gebbbeg febbbeg febbbeg febbbeg fbbbbee fbbbb fee ``` <!-- end of image --> I don't observe any intersections inside area A. Now, let's dive into another area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#57dfc9ff b,#2420fdff c,#a0ede0ff d,#0bd2b2ff e,#4d4afdff f,#bab9feff g,#dbe5f9ff ``` ```image dda gdda cddc addg add gdda cddc cddg addg dda gdda cddc add ag gggggggfffffff eeeeeeeeeebbbbbbbbbbbbbbbbbbbbbbe bbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeee fffffffffffgggggggg ``` <!-- end of image --> It's a shame, but area B doesn't contain an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4bddc6ff b,#2824fdff c,#91eadcff d,#09d1b1ff e,#6765fdff f,#a9a8fdff g,#d3eff3ff ``` ```image g dg cd d dg ca d dg ca d d ca d d aa d d aa d d ac gd d ac cc gd ddg d dgd dc d cd gd d da d ca dg dc ac d gd d cd d d ad dg d dc cd gd dg d ac gd dg dg cd ca d da d d dg dg gd d ca ca cd d ac ad d d dc ca d dg d d gd d cd cd aa ac da d dg dg d d d aa d cd d gd ad d ca dc ac dg dg gd d gd d d cd ac d da gd ca dg d ac d dc d cd gd d ad dc d dc d gd dg cd ac gd da dg ad d d da gd d dg aa gd d fbbg dg ca cd b gbbg gd dc ad be fbb ad d dc gb fbb dc d dg bg fbb d d gd ee fbb cdca ad gb fbb ddc da bg ebe dg dg eb ebe d b ebe cd bf ebe a fb ebe b ebe ggggfffffffeeeeeeeebbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbeeeeeeeffffffffgggg ``` <!-- end of image -->	[ "" ]
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,#3dd137ff b,#a365d8ff c,#94d393ff d,#c5a6e3ff e,#6dda69ff f,#eaf1ecff g,#b0d7b1ff ``` ```image bf bbf dbb bb bbf dbd fbb fbb bb dbbb bbd bbbdbf fbb fbbd bb bb bbbf bb bbf fffffffffffffff bbb db dbb cggggggggggggggcfdbbd bd bb cgggggggggggggggbbbf bb bb cggggggggggggggbbb bb dbd cggggggggggggdbbd fbd fbb cgggggggggggbbbgf bb bb cggggggggggbbbggf bb bbd cggggggggdbbdgggf dbf dbb cgggggggbbbgggggf bd bb cggggggbbbggggggf bb bbf cggggbbbggggggggf bb dbd cgggbbbgggggggggf fbd fbb cggbbbggggggggggf bb bb cbbbggggggaeggggf bb bbd bbbggggggcaaggggf dbf fbb dbbbgggggggaaaggggf bb bb bbbcggggggggaaaggggf bb bbf bbb cggggggggaaaggggf db dbb dbbd gccccccceaaacccc fbd bb bbb eaca bb bbf bb aagaf bb dbd f aafag dbf fbb fag ac bb bb ea ae bb bbd aa aa db dbb aa aa bd bb fag aa bb bbf ea ea fffbbfffffffdbd aa ea cggggbgggggggbbcf aa gaf cggggbbgggggbbggf fac fag cggggbbggggbbdggf ea ac cggggdbggggbbgggf aa ae cgggggbbggbbggggf aa aa cgggggbbgbbgggggf fac aa cgggggbbdbbgggggf caf aa cggggggbbbggggggf aa aa cggggggbbgggggggf aa ea cggggggbdgggggggf fac caf cgggggggggggggggf caf gag cgggggggggggggggf aa fac cgggggggggggggggf aa ae cgggggggggggggggf ac aa cgggggggggggggggf caf aa ceegggggggggggggf aa aa eaaaaaaaecgggggggf aa aa eaaacceaaaaaaaaecgcf ae ea eaaag fffffffgeaaaaaaaegf caf ca eaaag geaaaaaaaacf aa gaf eaaaf fcaaaaaaaaeg aa fag eaaaf geaaaaaaaecf gac ae eaaaf geaaaaaaaacf aa aaeaaaf fcaaaaaac fae aaaaf gef aa aaf faa aa aa eaf aa eag aa cag aa gac aa fae aa fae g ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#3cd136ff b,#a263d9ff c,#c2f0c0ff d,#d0b1ecff e,#74dd70ff f,#b787e1ff g,#e8ddf4ff ``` ```image d fb gbbb dbbbb fbbbbb gbbbbbf dbbbbbd gfbbbbfg gbbbbbf dbbbbbd gfbbbbfg dbbbbbd fbbbbbg gfbbbbfg dbbbbbd fbbbbbg gbbbbbf dbbbbbd fbbbbbg gbbbbbf dbbbbbd ceeg gfbbbbfg eaae gbbbbbf aaae bbbbbd caaaa bbbfg eaaaa bbd eaaaag bg aaaaac g caaaaac eaaaaac eaaaaae aaaaaae ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Let's continue our search in the next region. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#3dd137ff b,#a364d9ff c,#8de389ff d,#be92e4ff e,#d5baeeff f,#d1f3d0ff g,#ebdef6ff ``` ```image dbbbg gbbbb gbbbe bbbbe bbbd dbbbd dbbb ebbbb ebbbg gbbbbg gbbbe dbbbe bbbb ebbbd dbbbg gbbbbg gbbbe bbbbe bbbd dbbbd dbbb ebbbb ebbbg gbbbbg gbbbd dbbbd dbbbebbbb ebbbbbbbg gbbbbbbe bbbbbd dbbbbg ebbbe dbe fcccf fcaaaaaaaccff aaaaaaaaaaaaaaccff aaaaaaaaaaaaaaaaaaaaccf ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3dd137ff b,#a365d9ff c,#9ce799ff d,#c59ee7ff e,#70dd6cff f,#d1f3d0ff g,#e5d4f4ff ``` ```image bg bbg gbb bb bbg dbd bb gbb bb dbbb bbd bbbgbg gbb gbbd bb bb bbbg bb bbg bbb db dbb gbbd bd bb bbbg bb bb bbb bb dbd dbbd gbg gbb bbb bb bb gbbb bb bbg dbbg dbg gbb bbb bd bb gbbd bb bbg dbbg bb dbd bbb gbd bb gbbd bb bb dbbg ae bb bbd bbb faa dbg gbb gbbd eaa bb bb bbbg aaa bb bbg bbb aaa db dbb dbbd faaa gbd bb bbb eaca bb bb bb aacaf bb dbd g aafac gbg gbb fac ae bb bb ea ae bb bbg aa aa db gbb aa aa bd bb fac aa bb bbg ea aa bb dbd aa ea gbg bb aa caf bb bb fac faf bb dbd ea ac dbg gbb aa ae bd bb aa aa bb bbg ac aa bbdbb ca aa gbbb aa aa bb aa ea dd ac ca ca faf aa ac aa ae ae aa caf aa cc aa aa eaaaaaaacf aa aa eaaaffcaaaaaaaaef ae ea eaaaf ceaaaaaaaec caf ca eaaaf feaaaaaaaacf aa faf eaaaf fcaaaaaaaaef aa fac eaaaf ceaaaaaaaec fae ae eaaaf feaaaaaaaacf aa aaaaaaf fcaaaaaac fae aaaaf cef aa aa aa aa aa eaf aa eaf aa cac aa fac aa fae aa ae f ``` <!-- end of image -->	[ "" ]
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,#88cdcbff b,#bfe0dfff c,#94b2b2ff d,#deeeeeff e,#a5d2d0ff f,#b1d7b1ff g,#95c996ff ``` ```image b aa aa aa aa ae ae ab ab a ab a ad a dad da dad be da eb da ad ba a ba a ea a ea da ea ba aa ee aa ab aa ad ae a ae a ae a ab da ab ba ab eb ad ad dad a dad a da a da da ba da ba ee ea ab ea ad ea a aa a aa a aa da ae ba ae eb ae ad ab a ab a aaaaebdd a ddbbeaaaaaaaaaeeb a ddbeab da da be a ab ad ad ba a a a a a eb da c da ba bcb a eb cc ad ad ecb ba a dcc a a ccd a a dcc ee a cc da da bce a be cc ab ab ecb ba ad cc a a ecd fggggagggaggggggf dcc gffffaaffaffffffg ccd gfffffaffaffffffg dce gfffffafeaffffffg cc gfffffaeaaffffffg bce gfffffeaafffffffg cc gffffffaafffffffg ecb gffffffaafffffffg dccccccccccceeebbbddd gffffffaafffffffg dddbbbeeeccccccccccccccccccccccccccccafffffffg dddgccccccccccccccccc gfffffffffffffffg gfffffffffffffffg gfffffffffffffffg ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#88cdcbff b,#bed8d8ff c,#93b1b2ff d,#e6f1f1ff e,#a3d8d7ff f,#aac2c2ff g,#cee6e5ff ``` ```image gaad eae aag eab eae aag gaa aag daag daad aab gaa baa gaa daad bae aag eae eae aab gaa aag daagaad eaaaad baaaa daaaa aaae eaab gaag cccccffffffbbbbbaabgddddd cccccccccccccccccacccccccccccccf gggbbbbbffffffcccccccccccccccccc dddddggggbbb ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#88cdcbff b,#bddfdeff c,#94b1b2ff d,#e9f3f3ff e,#a1d7d6ff f,#b1c6c7ff g,#d3e9e8ff ``` ```image b aa aa aa ae ae ae ab ab a ag a dag a dad ga dad be gad eb ga ag ba a ba a ea a ea da ea ga aa ee aa ag aa ad ae a ae a ae a ab ga ab be ag eb dag ag dad a dad a gad a ga da ba ga ba ee ea ab ea ad ea a aa a aa a aa da ae ba ae eb ae ag ab ad ab a aaaaebgd a dgbbeaaaaaaaaaeeb da dgbeab ga ga be a ab ag ad ba a a a a a eb da c da ba fcb a eb cc ag ag fcg ba ad dcc a a ccd ad a gcf ee a ccd da ga bcf a be cc ag ab fcb ba ad dcc a a fcg ad a dcc ee a ccd da da gcf a ba ccd abee bcf gaag cc aad fcb aa dcccccccccccfffbbggddd ea ddggbbfffcccccccccccccccccccccccfffbbagdd dddggbbfffcccccccccccc ``` <!-- end of image -->	[ "" ]
The hunt for intersections begins! Let's analyze this image closely. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#e351f3ff b,#e74f36ff c,#f6beb5ff d,#ea9af4ff e,#f4edf3ff f,#e48a75ff g,#b0d6b0ff ``` ```image ead aaaa aaaaaa daaad aa eaaaa aa aaaae aa daaad aa daaad aa eaaaa aa aaaae aae daaad aad daaad dad eaaaa dad aaaae dad daaad eaa daaad eaa eaaaa aa aaaae aa daaad aa daaaa aa eaaaa aa aaaae aa daaad aa eaaaa aae aaaae aae aaaae dad daaad dad eaaaa dad aaaae eaa aaaad eaa daaad aa eaaaa aa aaaae aa daaad aa daaad aa eaaaa aa aaaae aa daaad aae daaad aae eaaaa dad aaaae eeeeeeeeedadeeee daaad egggggggggdadgggg daaad eggggggggggaagggg eaaaa eggggggggggaagggg eaae eggggggggggaagggg d eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggdadggg eggggggggggdadggg eggggggggggdaaggg egggggggggggaaggg egggggggggggggggg egggggggggffbfggg egffbbbbbbbbbbggg cbbbbbbbbbbbbffgggg cbbbbbbbbfggggggggggggg cfbbbbbbbcegggggggggggggggg efbbbbbbbc egggggggggggggggg efbbbbbbbc eeeeeeeeeeeeeeee cbbbbbbbfe cbbbbbbbfe cbbbbbbbfc cfbbbbbbbc efbbbbbbbc efbbbbbbbc cbbbbbbbfe cbbbbbbbfe cbbbbbbbfc cfbbbbbbbc efbbbbbbbc efbbbbbbbc cbbbbbbbfe cbbbbfe fc ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e350f4ff b,#e84e35ff c,#f3a599ff d,#f5c4faff e,#f8d1cbff f,#ed7a67ff g,#ec8af7ff ``` ```image gaaag daaag daaag daaag daaaa daaaa aaaa aaaa aaaa aaaad aaaad gaaad gaaad gaaad gaaag gaaag daaag daaag daaaa daaaa aaaa aaaa aaaa aaaad aaaad gaaad gaaad gaaad gaaag gaaag daaag daaag daaag daaaa d eeccffbc eeccffbbbbbbbbbbf eccffbbbbbbbbbbbbbbbbbbf cfbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbffccee bbbbbbbbbbbfffccee bbbbfccee fce ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#e350f4ff b,#e84d34ff c,#f3ada1ff d,#f1adf9ff e,#f9dbf0ff f,#ec7764ff g,#e97df6ff ``` ```image ead aaaa gaaaaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa eaaaa aa aaaae aae gaaad gad daaag gad eaaaa dag aaaae dag gaaad eaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa aaaa aa aaaae aa daaad aa eaaag aae aaaa gae gaaae gad daaad dad eaaaa dag aaaa eag gaaad eaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa eaaaa aa aaaae aa gaaad aa daaag aae eaaaa gad aaaae gad gaaad dag daaag dag eaaaa eaa eaae aa d aa aa aa aa aa aa aa aae gae gad dad dag eag eccfc cfbbbbbbbbbf cbbbbbbbbbbbfcc cfbbbbbbfce efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc cbbbbbbbfe cfbbbbbbfe efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc cbbbbbbbfe cfbbbbbbfe efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc ebbbbfe fe ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#7753cfff b,#f47e26ff c,#4918c0ff d,#f9c095ff e,#ab94e1ff f,#f69c59ff g,#ebd9e0ff ``` ```image gdfbbbf gdfbbbbbbbbbbb gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg dfbbbbbbbbbbbbbbfdg dfbbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbbfd gdfbbbbbbbbbbbbbbfd gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg fbbbbbbbbbfdg bbbfdg bb dbb bbf bb gbb fbb bbd bb gbb fbf cc cccce ecccccc cca accce ccc cccc ecc eccca cca ccccg ccc eccca ecc ccccg cce eccca ccc ccccg ecc gccca cce acccg ccc gcccc acc accce cce gcccc ccc accce acc gcccc gcce accce ccc cccc acc eccca gcce cccc ccc eccca acc ccccg gcce eccca ccc ccccg acc eccca ccg ccccg ccc gcccc ccg accce ccc gcccc ccg accce acc gcccc ccg accce acc cccc ccg accce acc ccc cce e acc cce acc cce acc ae ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b85d9cff b,#179281ff c,#83c4bbff d,#d299c1ff e,#eae2eaff f,#46a79aff g,#b6dcd7ff ``` ```image a daad aaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad e eaaaaae ebbbc daaaaa bbbbbbbg aaaaad fbbbbbbbbbb eaaaaae cbbbbbg bbbbbc daaaaa gbbbbbc gbbbbbg aaaaad bbbbbf cbbbbb eaaaaae fbbbbb bbbbbc daaaaa cbbbbbg gbbbbbe aaaaad gbbbbbc cbbbbb eaaaae bbbbf bbbbbc daa gbb gbbbbbe e fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf ebbbbbg gbbbbbe fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbe cbf ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6b680fff b,#b39571ff c,#9c1206ff d,#e8ded4ff e,#87853dff f,#b44c43ff g,#ccb8a0ff ``` ```image a aad aa daa gaa db bae daa eab gaea aag bab ad aad eag ab aa aad ae daa aad ea gae aa ga bae daa da eag daa ad aad gae ag baad bab ae eaae eag ea daaag aad ba gaaad aad da baae aa a eaab daa ag daaag daa ae gaaad gae aa baae bab ba aaab eag da daaag aad a baaad aad ag eaae aa abdaaab e aaaag gad c dccd fcc ccb gcc fcf dccg bcc ccb dccd fcf ccg bcc ccf dccd fcc dccg fcc dccg fcc dccg ccc gccd ccf gccd ccf gccd ccf bccd ccf bccd ccf bcc ccb fcc cccbd dccb gcccccfd fcc gfccccfg dccb dfcccccg fcc dfcccccbdccg bcccc ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#743d35ff b,#a789efff c,#a1bc97ff d,#d9ccedff e,#530c02ff f,#9a746dff g,#b2d5b1ff ``` ```image ccccccccccccg gggefcggggggc gggeeeeeeeafc ggggggcfaeeeeeeeafd a ggggggggggggcgfeeeeeeeefg ged ggggggggggggc dfaeeeeeeeacd ee ggggggggggggc caeeeeeeeafd fe ggggggggggggc gfaeeeeeeefc ea gggbggggggggc dcaeeeeeeeafd ae gggbbgggggggc gfeeeeeeeef dec gggbbgggggggc dfaeed ee ggggbbggggggc ec ced ggggbbggggggc ea ee gggggbggggggc ee fe gggggbbgggggc ae ef ggggggbgggggc fe ee ggggggbbggggc de dec ggggggbbggggc ed ee gggggggbggggc ec ced gggggggbbgggc ea ea ggggggggbgggc ee ae ggggggggbbggc ae ef db fe ee bd de deg bb ed ee bd ec fe bb ef ea db ee ae bb ae ef db fe ee bd ge ged bb e ee bd ec fe bb ef ea db ee ae bb ae ef db fe ee bd ge ced bb e ee b egfe bb efea db eee bb aec bb fe bd bb b bb db bd bb bd bb db bb db bd bb bd bb db bb db dbb bd bbbbd bb dbbbb b dbbbb bb bbbbd db bbbbd bb dbbbb bb dbbbbd bd bbbbd bb dbbbd b dbbbb bb dbbbbd db bbbbd bd dbbbd bb dbbbb bd dbbbbd bb bbbbd dbdbbbb bbb ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#7e4a43ff b,#a586f0ff c,#c7b1aeff d,#e1d7f4ff e,#530d03ff f,#a37e79ff g,#c2adf4ff ``` ```image feafccd feeeeeeeaffcd aeeeeeeeeeeeeeaafc dcfaaeeeeeeeeeeee dcffaeeeeee ccfa dgb bbbd dbbb bbbd gbbg dbbb gbbg dbbb bbbd dbbg bbbd gbbg dbbb gbbd dbbb bbbd gbbg bbbd gbbg dbbb bbbd dbbb bbbd gbbg bbb gbbg dbbb ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#733931ff b,#a586f0ff c,#c0a6a3ff d,#e3d9ecff e,#530c02ff f,#976d67ff g,#c4b0f5ff ``` ```image afc eeeeeeefc dcaeeeeeeeafd a cfeeeeeeeefc ced dfaeeeeeeeacd ee dcfeeeeeeeafd fe cfaeeeeeeefc ea g dcaeeeeeeeacd ae bb cfeeeeeeeef dec gb dfaeed ee bg ec ced bb ea ee bd ee fe bb ae ef db fe ee bg de dec gb ed ee bd ec ced bb ef ea b ee ae bb ae ef db fe ee bg de dec gb ed ee bd ec fe bb ef ea db ee ae bb ae ef gb fe ee bg ce ced bb ed ee bd ec fe bb ef ea db ee ae bb ae dec gb fe ee bg ce ced bb e ee bd ecfe bb efef db eee bg aec gb ce bd bb b bb gb bg gb bd bb db bb gb bg bb bd bb db bg gb dbbd bg gbbbg bb gbbbg bd dbbbbd bb dbbbbd db gbbbg bg gbbbg gb dbbbbd bd bbbbd bb gbbbg db gbbbb bb dbbbbd gb gbbbg bg gbbbg gb dbbbb bd dbbbbd bb gbbbg dbgbbbg bbbd ``` <!-- end of image -->	[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#73aceaff b,#e9c791ff c,#3085ebff d,#b5d3f8ff e,#e09f41ff f,#add5adff g,#eef1eeff ``` ```image a ac c dc dcg dc ccg gcg dccg gcd cgcg cd dc cg ca cg cg ca dc cg cc cg cg cc ac cg cc cg cg ac cd ac cd dc cd dcg cd gcg cd gcd cd cd cd ca cd ca cd cc cd cc cd cc cd ac cd ac cd dc cd dcg cd gcg cd cd cd cd cd ca cd ca cd cc cd cc cd cc cd ac cd ac cd dc aa dcg aa gcg aa cd aa cd aa ca aa ca aa cc aa cc aa cc aa ac aa ac aa dc aa acg aa cc aa cc aa dcd aa acg aa cc aa gca gb ggaagggggggggggg dcd eee ffacffffffffffffg cc be beb ffacffffffffffffg cc eg eeg ffacffffffffffffdca be beb ffacfffffffffffacd eg eeg ffacffffffffffccg be gee ffacfffffffffccfg e eeg ffacffffffffcaffg ee gee ffacffffffccffffg e beb ffacfffffccfffffg eb ee ffacffffccffffffg ge beb ffacffacafffffffg eb eeg ffacfccfffffffffg ge beb bb ffacccffffffffffg eb eeg beeeeefafffffffffffg ge gee ffbeeeeeebffffffg eg eeg ffffffffbeeeeeefg be ge fffffffffffffbeeeeeebg eg ffffffffffffffffg gbeeeeebg be ffffffffffffffffg gbeeeeebg e gggggggggggggggg gbeeeeebb ee gbeee ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#569aeeff b,#dfb372ff c,#2880edff d,#90bdf4ff e,#e09d3cff f,#f2d7b1ff g,#cee2faff ``` ```image dca dca dca dca dca dca dca dca dca a dca gcc dca dccc dca dccag dca gacca dca gcccd dca dcccg dca accag dca gaccd dca gcccd dca dcccg dca acca dca gcccd dca dcccg dca dccag dca gacca dca gcccd dcadcccg bbff dccccag eeeeeebbad fbbeeeeeeeeebff ffbbeeeeeeeeebbff ffbbeeeeeeeeebff ffbeeeeeeeeebbf ffbbeeeeee ffbe ``` <!-- 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.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5d9ff1ff b,#e4b671ff c,#2a81edff d,#95c0f5ff e,#e09d3cff f,#f2d8b3ff g,#d0e3faff ``` ```image d dc c dc gc gc ccg gcg dccg cg cgcg cd dc cg cd cg cg ca dc cg ca cg cg cc dc cg ac c cg ac cg dc cg dc cg gc cg gcg cg cg cg cd cg cd cg ca cg ca cg cc cg ac cg ac cg dc cd dc cd gc cd gcg cd cg cd cd cd cd cd ca ad ca ad cc ad ac ad ac ad dc ad dc ad gc ad gcg ad cg ad cd ad cd ad ca ad ca ad cc ad ac ad ac ad dc aa dc aa dc aa cc aa ca aa gcd da acg da cc da ca f da dcg eee da ac fe feb da cc e ee da gca fe feb da dcg e eef da cc be fee da ca e bef da gcd bb ee da acg e bef da cc eb ee da ca e feb da dcd ef ee da ac e feb bf dacc ef ee beeeeebd fe feb fbeeeebf ef bef feeeeebf fe e fbeeeebf e feeeeebf be fbeeeeef e fbeeeebf bb fbeee ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#c1c1e4ff b,#7f97cbff c,#d8d9eeff d,#b0d6b1ff e,#96ca96ff f,#9cafd5ff g,#eef0f4ff ``` ```image abf gbc fg ff b cbg b ba gf ab ac gbc b ff b cbg gf ba ac ab bg gbc b ff b cbg ca ba fg ab b gggggggbcggggggg b eddddbbddddddddeg cf edddbdddddddddddg fg edbfddddddddddddg b efddddddddddddddg b edddddddddddddddg gf edddddddddddddddg fc b edddddddddddddddg b f eddddddaadddddddg b f eddddddddaadddddg gf b edddddadddddaaddg ac cc edddddadddddddaac bg b eddddaddddddddddgaa b f eddddaddddddddddg cac b ag edddadddddddddddg gaag ca b edddadddddddddddg cac fg ga edddddddddddddddg aag b b eddaddddddddddddg cac b b eddaddddddddddddg aag cf ag deaeeeeeeeeeeeeeg gac fg b a cag b ga c gac b b cag gf b gac fc ag cag b b gac b f a gf f a ac b a bg cc gg b b c b f a cb a a a c gg a a a c gg c a a c gg c a a a ca a ag c ca c ag a ca a ag a ca c ag gg ca c ag a ca a ag c ca ggag a ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c1bee5ff b,#7f97cbff c,#d7d6eeff d,#e4e2f3ff e,#ccc9eaff f,#9aadd6ff g,#f0f0f8ff ``` ```image ebba dfbfg abbc cbbag gfbfd ebba fbfg ac dg daaed eedeaacg gad gcaaed ea deaacg gad gcaaed ca deaac ac gca dag ee gad ea gad ca ac dag ee gad ea gad ca ac dag ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#afbedeff b,#7f97cbff c,#d3d4edff d,#e4e3f3ff e,#c3c0e6ff f,#98abd5ff g,#f2f3f9ff ``` ```image aba gbd fd ff b cbg b be df ab ac gbd b ff b cbg gf be ec ab bg gbd b ff gb cbg ce be fg ab b gbd b ff da cbg fd be b a b df ac b b f ec b a gd ced gf b e gee ec dc c ced bg b e geeg b f e ced gb ag cg geeg ce b e dec fg ge gd geeg b b e dec b b c eeg da eg e dec fd b e ceg b ga cg dec b f ced df b dec ac cd ced b b ged b ga e gf f e ec b c bg cc dg b b d gb f e cb e e e d gd c e e c gg c e e c dg c e e e de e ed d de gd ed e de e ed e de c ed gd de c ed e de e ed c de dged e ``` <!-- end of image -->	[ "" ]
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,#e8c65fff b,#a0edc6ff c,#f2e1adff d,#f0f8edff e,#b0d7b0ff f,#97ca96ff g,#c7f4ddff ``` ```image dbb bbbbg bbbbbb gbb bbbbd bbb gbbbg dbbd dbbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbg dbb dbbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbb dbb bbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbb dbb bbbb bbb gbbbg dddddddddddddddd bbd dbbbbdfeeeeeeeeeeeeeef gbb bbbbeeeeeeeeeeeeeeef bbg gbbbbeeeeeeeeeeeeef gbb bbbbeeeeeeeeeeeef bbb dbbbbbeeeeeeeeeef bbd deebbbbeeeeeeeeef bbb deeebbbbeeeeeeeef bbg deeeeebbbbeeeeeef gbb deeeeeebbbbeeeeef bbb deeeaaaebbbbbeeef bbd deeaaaaeeebbbbeef bbb dfaaaaaaeeebbbbef bbg aaaaeaaaeeeeebbbb gbb aaaaeeeaaeeeeeebbbbd bbb daaaaeeeeaaaeeeeeebbbbg bbd caaaceeeeeeaaeeeeeeefbbbb bbb aaaaddffffffaaaffffffe bbbbg bbg aaaa caa dbbbb gbb daaaa aac bbbbd bbb caaac aaa gbbb dbbd aaaad daac bd bbb aaaa aaaad bbg daaaa aaaaa gbb caaac daaaac bbb aaaad caaaac dbbd aaaa aaaaa bbb daaaa daaaaa bbg caaac caaaac gbb aaaa aaaaad bbb aaaa aaaa dbbd daaac cac bbb caaac bbg aaaa gbb aaaa gbb daaac caaad aaaa aaaa caaac caaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa aaaa ac ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#e8c55cff b,#9feec6ff c,#f3e2aeff d,#dbf8e9ff e,#f9f2dbff f,#ecd281ff g,#baf2d5ff ``` ```image g bbd bbbg bbbbgd bbbbbbd bbbbbbbg dbbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbd e dbbbbbbbg efaac dbbbbbbbbd caaaaae gbbbbbbbg caaaaaac dbbbbbbbbd faaaaaaaa gbbbbbbbg eaaaaaaaaaac dbbbbbbbg caaaaaaaaaaaf dbbbbbbbbd caaaaaaacaaaaae gbbbbbbb faaaaaafe faaaaf dbbbbbb aaaaaaf eaaaaa gbbbb aaaaac faaaac dbbb aaaae caaaaa dbb aafe aaaaae g af caaaaf c eaaaaae ``` <!-- end of image --> The lines within area A do not intersect. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e8c55cff b,#9feec6ff c,#f4e4b4ff d,#dff8ebff e,#faf4e2ff f,#ecd281ff g,#bff3d8ff ``` ```image bb bbbbd bbbbbb gbb bbbb bbb gbbbg dbb bbbb bbb bbbbd bbd dbbbb gbb bbbbd bbb gbbbg dbb bbbb bbb bbbbd bbd dbbbb gbb bbbbd bbg gbbbg dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg gbbbg dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg dbbbb dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg dbbbb dbb e bbbb bbb aaa gbbbg bbd eaaaa bbbb bbb caaaaaf bbbbd bbg faaaefaa dbbbb dbb aaaa aac bbbbd bbb eaaaf aaa gbbbg bbd caaac eaae bbbb bbb faaae aaa bbbbd bbg aaaa caa dbbbb gbb eaaaf aac bbbbd bbb caaac aaa gbbb bbd faaae eaaf bd bbb aaaa aaaae bbg eaaaf faaaa gbb caaac eaaaaf bbb faaae caaaac dbb aaaa faaaa bbb eaaaf aaaaf bbg caaac caaaac gbb aaaa faaaae bbb aaaa aaaa dbb eaaaf eac bbb faaae bbd aaaa gbb aaaa gbb eaaaf faaae aaaa aaaa caaaf faaae aaaa aaaa caaac faaae aaaa eaaaf caaac faaae aaaa eaaaf caaac faaae aaaa eaaaf caaac faaae aaaa aaaf ac ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5cc7a0ff b,#10a5adff c,#a2ddd0ff d,#e1f4f0ff e,#7ed0c0ff f,#47b9bfff g,#c0e8e2ff ``` ```image ddddgggc ggccceeeeffffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffff ebbbbfffeeeecccggggddd fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd ebbbb fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd ebbbb fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd dbbbb ebb f d dac gaaac gaaaa caaaa eaaaa eaaaa eaaae aaaae aaaac aaaac aaaag aaaag aaaad aaaad daaaa daaaa gaaaa gaaaa caaaa caaaa eaaaa caaaae eaaaaae daaaaaaag gaaaaaaad caaaaaae eaaaaaac daaaaaaag gaaaaaaad caaaaaae eaaaaaac daaaaaaag caaaaaaad eaaaaaae aaaaaaac daaaaaaag caaaaaaad eaaaaaae daaaaaaac gaaaaaaad caaaaaaa eaaaaaae daaaaaaag gaaaaaaad caaaaaae caaaaaac eaaaaaag aaaaad caad d ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#5b4763ff b,#1b7295ff c,#9cbca3ff d,#d9e0e6ff e,#619eb3ff f,#b1d6b2ff g,#877c8dff ``` ```image bf bbbe ebbbbb dbbbbbd bbbbbe ebbbbb fbbbbbd bbbbbe bbbbbb cbbbbbd bbbbbc bbbbbb ebbbbb dbbbbbf bbbbbe ebbbbb dbbbbbd bbbbbe ebbbbb fbbbbbd bbbbbe bbbbbb cbbbbbd bbbbbc bbbbbe ebbbbe d dbbbbe caa dbbbbe caaac dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa dbbbbe gaaaf dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa dbbbbe gaaad dbbbbe aaaa dbbbbe caaac dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa bbbbe gaaaf bbbbb aaaa bbbbbb dbd daaag bbbbbbbd bbbe aaaa ebbbbbbbf bbbbf aaaa ebbbbbbbe ebbbb gaaad cbbbbbbbeffffffffffcbbbbffff aaaa fbbbbbbbbffffffffbbbbfffff caaac dbbbbbbbbfffffbbbbefcfff aaaa cfbbbbbbbbcfebbbbaaafff daaag cfffbbbbbbbbbbbbaaaagff aaaa cfffffebbbbbbbbaaaaagff aaaa cfffffffebbbbbaaaaaffff gaaaf cffffffffgabbbaaaffffff aaaa cffffffcaaaaaaaffffffff daaag cffffcaaaaaaacfffffffff aaaa cfffaaaaaaacfffffffffff aaaa cfaaaaaaacfffffffffffff gaaad aaaaaaagfffffffffffffff aaaa gaaaaaagfffffffffffffffff caaac gaaaaaagfffffffffffffffffff aaaa caaaaaaafffffffffffffffffffff daaag faaaaaaacffffffffffffffffffffff aaaa daaaaaaa fcccccccccccccccccccccc aaaa daaaaaaad gaaaf aaaaaaad aaaa aaaaaaaf daaag gaaaaaac aaaa gaaaaaag aaaa gaaaaaag gaaad caaaaaaa aaaa faaaaaaa caaac daaaaaaad aaaa daaaaaaad daaaaaaaaaad aaaaaaaac aaaaac caag ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a4663ff b,#1b7295ff c,#b4b9c6ff d,#706078ff e,#6da5bbff f,#d7dee4ff g,#938598ff ``` ```image bbbe ebbbbbbbb bbbbbef cbbbbbbbbf bbbbbbbef fbbbbbbbbc bbbbbbbbbef bbbbbbbbe bbbbbbbbbbbbc ebbbbbbbb bbbbbbbbbbbbbbc cbbbbbbbbf ebbbbbbbbbbbbbbbe fbbbbbbbbc cf febbbbbbbbbbbbbbbef bbbbbbbbe cdad ebbbbbbbbbbbbbbbef ebbbbbbbbcdaaaac cbbbbbbbbbbbbbbbefcbbbbbbbbdaaaaaad cbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaac febbbbbbbbbbbbbbbbbbbbaaaaaaaaad febbbbbbbbbbbbbbbbbaaaaaaaaaagf febbbbbbbbbbbbbbaaaaaaaaadf ebbbbbbbbbbbaaaaaaaadc cbbbbbbbbbaaaaaadc cdabbbbbbaaaaadc cdaaaaabbaaaaaac fdaaaaaaaaaaaaag fgaaaaaaaaaaaaagf fgaaaaaaaaaaaaagf fgaaaaaaaaaaaaagf gaaaaaaaaaaaaadf caaaaaaaaaaaaadc cdaaaaaaaaaaaadc cdaaaaaaaaaaaadc cdaaaaaaaaaaaaac aaaaaaaaaaaaag aaaaaaaaaaagf aaaaaaaaagf aaaaaaagf aaaaadf aaadc adc c ``` <!-- 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.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5b4663ff b,#1b7295ff c,#a7aab9ff d,#c3cad4ff e,#609db5ff f,#e1e8ecff g,#85758bff ``` ```image fbd bbbe ebbbbb dbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbe bbbbbb cbbbbbf fbbbbbc bbbbbb ebbbbb fbbbbbd bbbbbe ebbbbb dbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbe bbbbbb cbbbbbf fbbbbbc bbbbbe ebbbbe f fbbbbe caa fbbbbe caaac fbbbbe aaaa fbbbbe faaag fbbbbe aaaa fbbbbe aaaa fbbbbe gaaad fbbbbe aaaa fbbbbe daaag fbbbbe aaaa fbbbbe aaaa fbbbbe gaaaf fbbbbe aaaa fbbbbe caaac fbbbbe aaaa fbbbbe faaag fbbbbe aaaaf fbbbbe aaaa fbbbbe gaaad fbbbbb aaaa fbbbbbbf fbd daaag fbbbbbbbf bbbe aaaa ebbbbbbbd bbbbd aaaa ebbbbbbbc ebbbb gaaaf cbbbbbbbe fbbbb aaaa dbbbbbbbe bbbb caaac fbbbbbbbbf bbbbc d aaaa fbbbbbbbbf ebbbbgaa faaag ebbbbbbbbbbbaaaac aaaaf ebbbbbbbbaaaaag aaaa cbbbbbaaaag gaaad cabbbaaa aaaa daaaaaaaf daaag faaaaaaaf aaaa faaaaaaad aaaa aaaaaaad gaaaf gaaaaaac aaaa gaaaaaag caaac gaaaaaag aaaa caaaaaag faaag daaaaaaa aaaaf daaaaaaaf aaaa faaaaaaaf caaad faaaaaaad aaaa aaaaaaac daaag gaaaaaac aaaa gaaaaaag aaaa caaaaaag gaaaf caaaaaaa aaaa daaaaaaa caaac daaaaaaaf aaaa faaaaaaaf faaaaaaaaaad aaaaaaaac aaaaac caag ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. 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,#e19a60ff b,#3bd163ff c,#ede8d7ff d,#94cc97ff e,#67d783ff f,#e4bb93ff g,#b1d8b1ff ``` ```image gd gbbbbec gdddddddddddddddddddddddbbbbbbbbbg dggggggggggggggggggggggbbbbbbbbbbbbbg dgggggggggggggggggggggbbbbegebbbbbbbbbbd dggggggggggggggggggggebbbbggggddbbbbbbbbbbec dgggggggggggggggggggdbbbbgggggd gbbbbbbbbbbbc dgggggggggggggggggggbbbbggggggd cebbbbbbbbbbg dggggggggggggggggggbbbbdggggggd cebbbbbbbbbbd dgggggggggggggggggebbbbgggggggd dbbbbbbbbbbec dggggggggggggggggdbbbbggggggggd gbbbbbbbbbbec dggggggggggggggggbbbbgggggggggd gbbbbbbbbbbbg dgggggggggggggggbbbbdgggggggggd cebbbbbbbbbbd dggggggggggggggbbbbeggggaaggggd dbbbbbbbbbbe dgggggggggggggdbbbbggggaaaagggd gbbbbbbbbg dgggggggggggggbbbbgggggaaaafggd gbbbbb dggggggggggggbbbbdggggaaaaaaggd ceb dgggggggggggbbbbeggggfaaaaaaagd dggggggggggebbbbgggggaaaaaaaafd dgggggggggdbbbbgggggaaaaggaaaad dgggggggggbbbbggggggaaaagggaaaa dggggggggbbbbdgggggaaaaggggaaaac dgggggggebbbbgggggfaaafgggggaaaa dggggggdbbbbggggggaaaagggggggaaaf dggggggbbbbggggggaaaaggggggggaaaac dgggggbbbbdggggggaaaagggggggggaaaa dggggbbbbeggggggaaaaggggggggggdaaaf dgggdbbbbggggggfaaafggggggggggdaaaa dgggbbbbgggggggaaaagggggggggggd aaaa dggbbbbdggggggaaaaggggggggggggd faaaf dgbbbbegggggggaaaaggggggggggggd aaaa debbbbgggggggaaaagggggggggggggd aaaa dbbbbgggggggfaaafgggggggggggggd faaaf bbbbggggggggaaaaggggggggggggggd aaaa bbbbdgggggggaaaagggggggggggggggd aaaa ebbbbggggggggaaaagggggggggggggggd faaac cbbbbddddddddaaaaddddddddddddddddg aaaa bbbb caaaf caaaa bbbbc aaaa faaac ebbbe faaac aaaa gbbbb aaaa caaaa bbbb aaaa aaaac bbbbc caaaf aaaa bbbbd aaaa caaaf dbbbb faaac aaaa cbbbb aaaa aaaa bbbb aaaa faaaf bbbbg caaaf aaaa ebbbe aaaa aaaa cbbbb faaac faaaf bbbb aaaa aaaa cbbbc aaaa aaaa be caaaf faaac aaaa aaaa faaac caaaa aaaa faaac aaaa aaaa caaaf caaaa aaaa aaaac faaac aaaa aaaa caaaf aaaa aaaac caaaf aaaa aaaa caaaf faaac aaaa aaaa aaaa aaaa faaaf caaaf aaaa aaaa aaaa faaac faaaf aaaa aaaa aaaa aaaa caaaf faaac aaaa aaaa faaac caaaa aaaa faaac caaa aaaa ff caaaa aaaac aaaa caaaf aaac f ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#e29a5fff b,#3bd163ff c,#e5f2e1ff d,#f2d4bcff e,#6edc8cff f,#e9b58aff g,#a7eab9ff ``` ```image cbbbbbbbbbbbb bbbbbbbbbbbbb ebbbbbbbbbbbbb gbbbbbbbbbbbbbb cbbbbbbbbbbbbbbb cbbbbbbbbg cgebbb ebbbbbbbe ge gbbbbbbbbc gbbbbbbbbc cbbbbbbbbg ebbbbbbbe ebbbbbbbb gbbbbbbbbc cbbbbbbbbg bbbbbbbbe ebbbbbbbe gbbbbbbbbc cbbbbbbbbg cbbbbbbbbg ebbbbbbbe gbbbbbbbbc gbbbbbbbbc cbbbbbbbbg ebbbbbbbe cfafd ebbbbbbbb caaaaad gbbbbbbbbc faaaaaac cbbbbbbbbg daaaaaaaf bbbbbbbbe aaaaaaaaad ebbbbbbbe faaaaaaaaaac gbbbbbbbbc caaaaaaaaaaaf cbbbbbbbbg faaaaaaaaaaaad cbbbbbbbbg daaaaaaaaaaaaaa ebbbbbbbe aaaaaaaaaaaaaaaf gbbbbbbbbc faaaaaaadfaaaaaaad gbbbbbbbbc caaaaaaaf caaaaaaaa cbbbbbbbbg faaaaaaac daaaaaaaf ebbbbbbbe daaaaaaad faaaaaaa ebbbbbbbb aaaaaaaf caaaaaaa gbbbbbbbbc faaaaaaad daaaaaa cbbbbbbbbg caaaaaaaf aaaaaa bbbbbbbbe faaaaaaac caaaaa ebbbbbbbe daaaaaaad faaaa gbbbbbbbbc aaaaaaaa aaaa cbbbbbbbbg faaaaaaad daaa cbbbbbbbbg caaaaaaaf faa ebbbbbbbe faaaaaaac aa gbbbbbbbbc daaaaaaad da gbbbbbbbbc aaaaaaaa f cbbbbbbbbg faaaaaaad ebbbbbbbe caaaaaaaf ebbbbbbbb faaaaaaac gbbbbbbbbc daaaaaaad cbbbbbbbbg aaaaaaaa bbbbbbbbe faaaaaaad ebbbbbbbe caaaaaaaf gbbbbbbbbc faaaaaaac cbbbbbbbbg daaaaaaad cbbbbbbbbg aaaaaaaa ebbbbbbbe faaaaaaad gbbbbbbbbc caaaaaaaf gbbbbbbbbc faaaaaaac cbbbbbbbbg daaaaaaad ebbbbbbbe aaaaaaaa ebbbbbbbb faaaaaaad bbbbbbbbc caaaaaaaf bbbbbbbg faaaaaaac bbbbbbe daaaaaaad bbbbbe aaaaaaaa ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e29a60ff b,#3bd163ff c,#d2f4dbff d,#f5dfcdff e,#68db87ff f,#eab890ff g,#9ce7b0ff ``` ```image cg gbbbbec bbbbbbbbbc bbbbbbbbbbbbbg bbbbg ebbbbbbbbbbg gbbbb gbbbbbbbbbbec cbbbb gbbbbbbbbbbbc bbbb cbbbbbbbbbbbg bbbbg cebbbbbbbbbbg ebbbe gbbbbbbbbbbec cbbbb gbbbbbbbbbbec bbbb cbbbbbbbbbbbg bbbbc cebbbbbbbbbbg ebbbe fa gbbbbbbbbbbe gbbbb aaaa gbbbbbbbbg bbbb aaaad cbbbbb bbbbc aaaaaa ceb bbbbg daaaaaaa gbbbb aaaafaaad cbbbb faaa aaaa bbbb aaaa daaaa bbbbg aaaa aaaad ebbbe daaad aaaa cbbbb aaaa daaaf bbbb faaa aaaa bbbbc aaaa aaaa ebbbe aaaa daaaf gbbbb daaaf aaaa bbbb aaaa aaaa bbbbc faaa faaaf bbbbg aaaa aaaa gbbbb aaaa aaaa cbbbb daaaf faaad bbbb aaaa aaaa bbbbg faaad aaaa ebbbe aaaa faaad cbbbb aaaa aaaa bbbb daaaf daaaa bbbbc aaaa faaad ebbbe faaad aaaa gbbbb aaaa daaaf bbbb aaaa aaaad bbbbc daaaf aaaa bbbbg aaaa daaaf gbbbb faaad aaaa cbbbb aaaa aaaa bbbb aaaa daaaf bbbbg daaaf aaaa ebbbe aaaa aaaa cbbbb faaad faaaf bbbb aaaa aaaa cbbbc aaaa aaaa be daaaf faaad aaaa aaaa faaad aaaa aaaa faaad aaaa aaaa daaaf daaaa aaaa aaaad faaad aaaa aaaa daaaf aaaa aaaa daaaf aaaa aaaa daaaf faaad aaaa aaaa aaaa aaaa faaaf daaaf aaaa aaaa aaaa faaad faaad aaaa aaaa aaaa aaaa daaaf faaad aaaa aaaa faaad daaaa aaaa faaad daaa aaaa ff daaaf aaaad aaaa daaaf aaa f ``` <!-- end of image -->	[ "" ]
I'm curious to see if this image contains any intersection points. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#d73e8dff b,#774e99ff c,#f1bcd7ff d,#947aacff e,#b1d7b1ff f,#96c896ff g,#d973a6ff ``` ```image aac caaac aaaaac aaa aaac aaac aaa caag aaa aaa caaa aaa caaa gaac caaa caaa gaaa aaa gaaa aaa gaaa gaag aaag caaa aaag aaa aaag aaac aaag gaag aaac aaa aaac aaa aaa aaac aaa caag gaa aaa aac gaa aaa aag gaa aaa aac caag aaa aaa gaa caac aac aaa aaa gaa gaa aaa aac aaa fffaaafffffffffffffff aag eeegaaeeeeeeeeeeeeeee aaa eeeeaaeeeeeeeeeeeeeee caac eeeeaaaeeeeeeeeeeeeee aaa eeeeaaaeeeeeeeeeeeeee caac eeeeeaaeeeeeeeeeeeeee aaa eeeeeaaaeeeeeeeeeeeee gaa eeeeeaaaeeeeeeeeeeeee aaa eeeeeeaaeeeeeeeeeeeee aaa eeeeeeaageeeeeeeeeeee aag eeeeeeaaaeeeeeeeeeeee aaa eeeeeeeaaeeeeeeeeeeee caac eeeeeeebbgeeeeeeeeeee aaa eeeeedbbbaeeeeeeeeeee gaac eeedbbbbbbeeeeeeeeeee aaa edbbbbbdbbgeeeeeeeeee gaa dbbbbbeeebbaeeeeeeeeee aag dbbbbbeeeeebbbeeeeeeeeee aaa dbbbbbeeeeeeedbbgeeeeeeeee caag dbbbbd eeeeeeeeebbaeeeeeeeee aaa dbbbbd eeeeeeeeebbbeeeeeeeee caac dbbbbd eeeeeeeeedbbgeeeeeeee aaa dbbbbd eeeeeeeeeebbbeeeeeeee gaa dbbbbd eeeeeeeeeebbbeeeeeeee aaa dbbbbd eeeeeeeeeedbbgeeeeeee aaa dbbbbd eeeeeeeeeeebbbeeeeeee aag dbbbbd eeeeeeeeeeebbbeeeeeee aaa dbbbbd eeeeeeeeeeefbbgeeeeee caac dbbbbd eeeeeeeeeeeebbbeeeeee aaa bbbbbd eeeeeeeeeeeebbbeeeeee caac bbbbbd eeeeeeeeeeeefbbgeeeee ffffffffffaaafe bbbbbd eeeeeeeeeeeeebbbeeeee eeeeeeeeegaaeef bbbbbd eeeeeeeeeeeeebbbeeeee eeeeeeeeeaaaeef bbbbbd eeeeeeeeeeeeefbbgeeee eeeeeeeeaaaeeef bbbbbd eeeeeeeeeeeeeebbbeeee eeeeeeeeaageeef bbbbbd eeeeeeeeeeeeeebbbeeee eeeeeeeaaaeeeef bbbbbd eeeeeeeeeeeeeeebbgeee eeeeeeeaageeeef bbbbbd eeeeeeeeeeeeeeebbbeee eeeeeeaaaeeeeef bbbbbd eeeeeeeeeeeeeeebbbeee eeeeegaaeeeeeef bbbbbd eeeeeeeeeeeeeeeedeeee eeeeeaaaeeeeeef bbbbbd eeeeeeeeeeeeeeeeeeeee eeeeaaaeeeeeeefbbbbbd eeeeeeeeeeeeeeeeeeeee eeeeaaaeeeeeebbbbbd fffffffffffffffffffff eeeaaaeeeeebbbbbd eeeaageeebbbbbd eeaaaeebbbbbdef eeegdbbbbbdeeef eeebbbbbdeeeeef eebbbbdeeeeeeef eeebdeeeeeeeeef ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#d83d8dff b,#774e99ff c,#e893bfff d,#f5eaf2ff e,#f0c3dbff f,#b199c4ff g,#e067a6ff ``` ```image daaaaag caaaaad daaaaac gaaaaad eaaaaac gaaaaa eaaaaae daaaaag caaaaae daaaaag caaaaad eaaaaac gaaaaad eaaaaac gaaaag caaaaae daaaaag caaaaae daaaaac gaaaaad eaaaaac gaaaaad eaaaaae d aaaaag dfb caaaaae dfbbb daaaaag dfbbbbb caaaaad dfbbbbbbb daaaaac dfbbbbbbbbb gaaaaad dfbbbbbbbbbbf eaaaaac dfbbbbbbbbbbfd dcaaaa dfbbbbbbbbbbfd dcacfbbbbbbbbbbfd dfbbbbbbbbbbfd dfbbbbbbbbbbfd ebbbbbbbbbbfd bbbbbbbbfd fbbbbbfd bbbfd ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Now, let's scrutinize the next spot. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#d73d8dff b,#774d99ff c,#dcacceff d,#a184b8ff e,#eedae9ff f,#a74995ff g,#de73adff ``` ```image gaaaac caaaaa eaaaaae gaaaac caaaaa eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae aaaaac caaaag eaaaaae aaaaac gfbbag edbbbbba edbbbbbbbfc edbbbbbbbbbfg edbbbbbbbbbbbba edbbbbbbbbbbbbbbfc edbbbbbbbbbbcdbbbbfg edbbbbbbbbbbc ebbbbba dbbbbbbbbbbc bbbbbfc bbbbbbbbbc dbbbbbg bbbbbbbc ebbbbba bbbbbc bbbbbfc bbbc dbbbbbg bc ebbbbba bbbbbfc cbbbbbg ebbbbba dbbbbfc cbbbbbg ebbbbba dbbbbfc cbbbbbg ebbbbba dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe ebbbbbg bbbbbf dbbbbfe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf cbbbbbe ebbbbbg bbbbbf cbbbbd ebdc ``` <!-- end of image --> I don't observe any intersections inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d73d8dff b,#774d99ff c,#e899c3ff d,#906eacff e,#f3d3e5ff f,#ad95c2ff g,#e069a7ff ``` ```image aac caaae aaaaae aaa aaae gaae aaa caag eaaa aaa eaaa aaa eaaa gaac caaa eaaa caaa aaa gaaa aaae gaaa gaac gaag eaaa aaag aaa aaag aaae aaac caag aaac eaaa aaae aaa aaae aaae aaa caag gaa aaa aae gaa aaa aag gaa aaa aae eaac aaa aaa gaa caae aae aaa aaa gaae gaa aaa aae aaa aag aag gaa aaa eaae eaac aag aaa gaa caae eaae aaa aag gaa gaa aag eaae aaa aag eaag gaa aaa eaa eaac bbg aaa dbbba caae dbbbbbb aaa dbbbbdfbbg gaa dbbbbd bba aag dbbbbd bbb aaa dbbbbd fbbg eaac dbbbbd bba aaa dbbbbd bbb caae dbbbbd fbbg aaa dbbbbd bbb gaae dbbbbd bbb aaa dbbbbd fbbg gaa dbbbbd bbb aag dbbbbd bbb aaa dbbbbd ebbc eaac dbbbbd bbb aaa dbbbbd bbb caae dbbbbd ebbc aaa dbbbbd bbb gaa bbbbbd bbb aaa bbbbbd ebbc aaa bbbbbd bbb eaag bbbbbf bbb aaa bbbbbf ebbc eaac bbbbbf bbb aaa bbbbbf dbb caae bbbbbf d aaa bbbbbf gaa bbbbbf aag bbbbbf aaa bbbbbf eaac bbbbbf aaa ebbbbbf gcbbbbbf ebbbbbf bbbbf bf ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#76ac53ff b,#eed761ff c,#bdd6acff d,#f8f2d0ff e,#d9e8d0ff f,#9fc587ff g,#f3e395ff ``` ```image dg bbbg bbb bbbb bbb gbbb bbbd gbbb bbbd dbbb bbbg dbbb dbbbg ddgggbbbbbbbbbbbbb dddggbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg dddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd ddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd bbbbbbbbbbbbbbbbbgggdd bbbggddd aac caaa caaae faaaa aaaaa aaaaaf aaaaaa aaaaaae aaafaaa aaa aaa aaa aaaf aaa eaaa a eaaa aaae aaa caaa faaa eaaaaf caaf aaa caaaac faac aaaf aaaaad aaac eaaa aaaaa aaae aaae eaaaaf aaa faaa caaaac aaa aaa aaaaad aaa aaaf aaaaa f aaa eaaa eaaaaf aaa aaa aaae faaaac aaae aaa faaa aaaaa faaa eaaa aaa aaaaa aaa eaaa aaaf eaaaaf aaac caaf eaaa faaaac caaa faaf aaae aaaaa aaa aaac faaa aaaaa aaac aaae aaa eaaaaf caaa aaa aaaf faaaae aaa aaa eaaa aaaaa aaac aaa aaae aaaaa caaa aaa faaa eaaaaf aaa aaa aaa faaaae aaafaaa aaaf aaaaa eaaaaaa eaaa aaaaa aaaaaa aaae eaaaaf aaaaaf faaa faaaae eaaaaf aaa aaaaa aaaac aaaf aaaaa aaaae eaaa eaaaaf eaaad aaaa faaaae aaa eaaae aaaaa caa aaaa aaaaa aaaf caaaaf caaa faaaae aaaa aaaaa aaaaaaaa faaaaaf aaaae eaa ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#f67420ff b,#96d1feff c,#f6a167ff d,#d2ebffff e,#b1d7b2ff f,#97c995ff g,#fbceb1ff ``` ```image dbd dbbbb bbbbd bbbbb dbbbb dbbbb bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd db bbbbb bbbb dbbbb bbbbbbd dbbbbd bbb bbbb bbbbd dbbd dbbbb bbbbb bbb bbbbd dbbbb bbb dbbbb dbbbbd bbb bbbbb bbbbd dbbd bbbbbbbbb bbb dbbbbb bbb bbd bbb dbbd ffffffffffbbbe eeeeeeeeebbbef eeeeeeeebbbeef eeeeeeeebbbeef eeeeeeebbbeeef eeeeeebbbeeeef c eeeeebbbeeeeef gaaa eeeeebbbeeeeef gaaaag eeeebbbeeeeeef aaaac eeebbbeeeeeeef caaaa eeebbeeeeeeeef gaaaa eeebbeeeeeeeef aaaag eeeefeeeeeeeef aaaac eecaaeeeeeeeef caaaa eeeaaeeeeeeeef gaaaag eeeaaceeeeeeef aaaac eeeaaaeeeeeeef caaaa ffffaafffffffe gaaaa aag aaaag aaa aaaac gaa caaaa aag gaaaa aaa aaaag gaa aaaac aa caaaa aac gaaaag gaa aaaac aa caaaa aac gaaaa gaa aaaag aa aaaac aac caaaa gaa gaaaa aa aaaag aac aaaac caa caaaa aa gaaaag aag aaaac caa caaaa aa gaaaa aag aaaag caa aaaac aa caaaa aag gaaaa caaaaaag aaaac aaag aaa c ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#f7731eff b,#95d1feff c,#f8985aff d,#cde9ffff e,#b0dcffff f,#e9f5ffff g,#f9c9a9ff ``` ```image bbbbb ebbbbb dbbbbbf fbbbbbd ebbbbe ebbbbbf dbbbbbf fbbbbbd ebbbbe dbbbbbf fbbbbbd fbbbbbe ebbbbe dbbbbbf fbbbbbd bbbbbe ebbbbb dbbbbbf fbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbd fbbbe febf gg gcaac caaaa gaaaag aaaac caaaa gaaaag aaaac caaaa ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#f6731fff b,#96d2ffff c,#f9ab78ff d,#d1ebffff e,#fde9ddff f,#f8904dff g,#fbcaabff ``` ```image dbd dbbbb bbbbd bbbbb dbbbb dbbbb bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd db bbbbb bbbb dbbbb bbbbbbd dbbbbd bbb bbbb bbbbd dbbd dbbbb bbbbb bbb bbbbd dbbbb bbb dbbbb dbbbbd bbb bbbbb bbbbd dbbd bbbbbbbbb bbb dbbbbb bbb bbd bbb dbbd bbb bbb dbb bbd bbb bbb fe dbb gaaa bbd eaaaag bbb aaaac bbb caaaa dbbd gaaaae dbb eaaaag eg faaaf faa caaaa eaa gaaaae aag aaaac faa faaaf eaa gaaaae aag eaaaag faa aaaac eaa caaaa aae gaaaae aaf eaaaag gaa faaaf aae caaaa aaf eaaaae gaa aaaac aae faaaf aaf gaaaae gaa eaaaag aa aaaac aac caaaa caa gaaaae aa eaaaag aac faaaf caa caaaa aa eaaaae aac aaaac caa faaaf aa gaaaae aag eaaaag faa aaaac eaa caaaa aag gaaaae faaaaaag eaaaaf aaae faa f ``` <!-- end of image -->	[ "" ]
Time to put on my detective hat and find those intersection points! These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#d1a04bff b,#92f71bff c,#e2c48fff d,#b3f765ff e,#eaeec8ff f,#b1d7b0ff g,#97cc94ff ``` ```image ea caaac aaaac caaaae aaaac eaaaae caaaa eaaaac caaaae aaaac eaaaae caaac eaaaac caaaa aaaac eaaaae caaac eaaaae caaaa aaaac caaaae aaaac eaaaae caaaa aaac eac aa eac aa eac aa eac aa eac aa e cac ebd aa ebb cac bb aa bbe cae bbe aa bbf cae bbd aa bbd cae dbb aa dbb cae ebb aa ebb cae bb aa bb aae bbe aa bbe aa bbd aa bbd aa dbb aa dbb aa fbb aa dbb fgggggggaagggggg ebbbb gfffffffaaffffff bbbbbe gffffffaafffffff dbbbbf gffffffaafffffff ebbbbd gfffffaaffffffff dbbbbe gfffffaaffffffff dbbbbf gffffaafffffffff ebbbbd gffffaafffffffff dbbbbe gfffaaffffffffff dbbbbf gfffaaffffffffff ebbbbd gffaafffffffffff dbbbbe gffaafffffffffff dbbbbd gfffffffffffffff ebbbbd gfffffffffffffff dbbbbe gfffffffffffffff dbbbbd gfffffffffffffff ebbbbd gfffffffffffffffedbbbbe gfffffffffffffdbbbbd gffffffffffgbbbbd gffffffffbbbbbgf gfffffdbbbbdffff gffgbbbbbfffffff gffbbbgfffffffff gffdffffffffffff gfffffffffffffff gfffffffffffffff ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d1a04aff b,#91f819ff c,#debc81ff d,#bffa7aff e,#f0f1d5ff f,#a4f841ff g,#dfefb1ff ``` ```image aaaa caaag aaaa caaag aaaa caaag eaaaa caaag eaaaa caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac gaae e e edfb gfbbbb edbbbbbbb edfbbbbbbbfd gfbbbbbbbbdg edbbbbbbbbfg edfbbbbbbbfde gfbbbbbbbbdg edbbbbbbbbfg efbbbbbbbfde bbbbbbdg dbbfg ede ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#d19f49ff b,#91f719ff c,#e7cda1ff d,#c7fa8aff e,#ebf0caff f,#abf94fff g,#dcb675ff ``` ```image ea caaag aaaac caaaae gaaag eaaaae gaaag eaaaac caaaae gaaag eaaaae gaaag eaaaac caaaa aaaac caaaae gaaag eaaaac caaaa aaaac caaaae gaaag eaaaae gaaag aaac eag aa eag aa eag aa eac aa cac aa e cac ebf aa ebb cac bb aa bbe cac bbe aa bbd cae bbf aa fbf gae fbb aa dbb gae ebb aa ebb gae bb aa bb gae bbe aa bbd ga bbd aa bbf aa fbf aa dbb aa dbb aa dbb aa ebbbb aa fbbbbe aa dbbbbd ag ebbbbf aa fbbbbe eag dbbbbd aa ebbbbf eag fbbbbe aa dbbbbd eag ebbbbf aa fbbbbe eag dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf bbbe d ``` <!-- end of image -->	[ "" ]
The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#03f9d5ff b,#65f137ff c,#45f8dbff d,#acdaabff e,#8ffcecff f,#d5fce5ff g,#92f373ff ``` ```image ffddgg ffdgggbbbbbbbbbbbbbbdd fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdd ffdgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdd dbbbbbbbbggddff fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddddddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddff dddddddddddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdff ddddaacddddddddd bbbffddggbbbbbbbbbbbbggddf ddddaaaadddddddd bbb dddcaaaaacdddddd bbb dddaaaaaaaaddddd bbb dddaaacaaaaaaddd fbbb dddaaaddaaaaaadd dbbb dddaaaddddaaaacd dbbb ddcaaadddddaaadd gbbb ddaaaadddddddddd gbbb ddaaacdddddddddd bbbg ddaaaddddddddddd bbbg ddaaaddddddddddd bbbd ddaaaddddddddddd bbbf eaaa bbb aaac bbb aaae bbb aaaf bbb aaa fbbb eaaa dbbb caaa gbbb aaac gbbb aaae bbbg aaa bbbg faaa bbbd eaaa bbbd caaa bbbf aaac bbb aaaf bbb aaa bbb faaa fbbb caaa fbbb aaac dbbb aaae gbbb aaaf gbbb aaa bbbg eaaa bbbg caaa bbbd aaac bbbf aaae bbbf aaa ggb faaa aaaf eaaa caaaac caaa eaaaaaaa aaae aaaaaaaaae aaaf aaaa aaaaaa aaa aaaae eaaaaaf faaa caaac aaaaac caaa eaaaa caaaaa aaac faaaa faaaaae aaae aaaa aaaaaa aaa aaaae eaaaaaf aaa caaac aaaaac eaaa eaaaa caaaaa caaa faaaa faaaaae aaac aaaa aaaaaa aaae aaaaf eaaaaaf aaa aaaac aaaaac faaa eaaaa caaaaa eaaa faaaa faaaaae aaaa aaaa aaaaaa aaae aaaaf eaaaaaf aaaf aaaae aaaaac aaa caaaa caaaaaeaaa faaaa eaaaaaaaa aaaa aaaaaac aaaaf aaaaae aaaae aaaaa caaac caaaa eaaaa faaaa aaaa aaaa aaaaf aaac aaaae eaa caaac eaaaa caa e ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#02fad5ff b,#66f238ff c,#3afaddff d,#a0f683ff e,#76fbe8ff f,#b9fdf3ff g,#d5fbc8ff ``` ```image ggggddddddbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbdddddggggg bbdddddgggg ff faaaae aaaaaacf faaaaaaaae eaaaaaaaaaaf caaaaaaaaaaac caaaaaaaaaaaaaf aaaaaaaaaaaaaaac faaaaaaaaaaaaaaaaae faaaaaacaaaaaaaaaaacf eaaaaaaf caaaaaaaaaaae caaaaaa faaaaaaaaaaacf aaaaaac eaaaaaaaaaaa aaaaaac fcaaaaaaaae faaaaaae eaaaaaac eaaaaaaf fcaaaaf eaaaaaaf eaae caaaaaa fc aaaaaac faaaaaae faaaaaae eaaaaaaf caaaaaa caaaaaa ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#03fad5ff b,#65f237ff c,#48fae0ff d,#b9f8a4ff e,#91fcecff f,#d5fce8ff g,#8ff56eff ``` ```image fddgg ffddggbbbbbbbbbbbbbb fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ffddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dbbbbbbbbggddff fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdddf aae bbbffddggbbbbbbbbbbbbggddf eaaaa bbb caaaaac bbb aaaaaaaaf bbb aaacaaaaac fbbb aaa aaaaaaf dbbb aaa faaaae dbbb eaaa caa gbbb caaa f gbbb aaac bbbg aaaf bbbd aaa bbbd faaa bbbf caaa bbb aaaa bbb aaae bbb aaaf bbb aaa fbbb eaaa dbbb caaa dbbb aaac gbbb aaae bbbg aaa bbbg faaa bbbd eaaa bbbd caaa bbbf aaac bbb aaaf bbb aaa bbb faaa fbbb caaa fbbb aaac dbbb aaae gbbb aaaf gbbb aaa bbbg eaaa bbbg caaa bbbd aaac bbbd aaae bbbf aaa dgb faaa aaaf eaaa caaaac aaaa eaaaaaaa aaac faaaaaaaaae aaaf aaaa aaaaaa aaa aaaae eaaaaaf faaa caaac aaaaac caaa eaaaa caaaaa aaac faaaa faaaaae aaae aaaa aaaaaa aaa aaaae eaaaaaf aaa caaac aaaaac eaaa eaaaa caaaaa caaa faaaa faaaaae aaac aaaa aaaaaa aaae aaaaf eaaaaaf aaa aaaac aaaaac faaa caaaa caaaaa eaaa faaaa faaaaae aaaa aaaa aaaaaa aaae aaaaf eaaaaaf aaaf aaaae aaaaac aaa caaaa caaaaaeaaa faaaa eaaaaaaaa aaaa aaaaaac aaaaf aaaaae aaaae aaaaa caaac caaaa eaaaa faaaa aaaa aaaa aaaaf aaac aaaae eaa caaac eaaaa caa e ``` <!-- end of image -->	[ "" ]
I have an image in front of me. I need to determine if there are any intersection segments. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#478f91ff b,#115434ff c,#b2d7b2ff d,#76a89bff e,#ecf4eeff f,#41785cff g,#a4cea8ff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eggggggggggggggggggggggggggggggge egcccccccccccccccccccccccccccccge eac egcccccccccccccccccccccccccccccge eaaae egcccccccccccccccccccccccccccccge eaaaad egcccccccccccccccccccccccccccccge caaaad egcccccccccccccccccccccccccccccge gaaaag dgcccccccccccccccccccccccccccccge daaaac daacccccccccccccccccccccccccccccge daaaae caaaagcccccccccccccccccccccccccccge aaaaae aaaaagccccccccccccccccccccccccccge aaaaae daaaadcccccccccccccccccccccccccge aaaaa edaaaaaccccccccccccccccccccccccge aaaaa eggaaaaacccccccccccccccccccccccge eaaaaa egcgaaaaaccccccccccccccccccccccge eaaaaa egcccaaaaagccccccccccccccccccccge eaaaad egccccaaaaadcccccccccccccccccccge caaaad egcccccdaaaadccccccccccccccccccge gaaaag egccccccdaaaaacccccccccccccccccge daaaac egcccccccgaaaaaccccccccccccccccge daaaae egcccccccccaaaaagccccccccccccccge aaaaae egccccccccccaaaaagcccccccccccccge aaaaa egcccccccccccaaaaadccccccccccccge aaaaa egccccccccccccdaaaaacccccccccccge aaaaa bdcccccccccccccgaaaaaccccccccccge eaaaaa bbbdcccccccccccccgaaaaacccccccccge eaaaaa cbbbbgccccccccccccccaaaaagcccccccge caaaad gbbbbgccccccccccccccaaaaadccccccge caaaad dbbbbgccccccccccccccdaaaadcccccge gaaaac efbbbbcccccccccccccccdaaaaaccccge daaaac egfbbbbcccccccccccccccgaaaaacccge daaaae egcfbbbbccccccccccccccccaaaaagcge aaaaae egccbbbbbccccccccccccccccaaaaadge aaaaa egcccbbbbbccccccccccccccccaaaaade aaaaa egccccbbbbbccccccccccccccccdaaaaa aaaaa egcccccbbbbbccccccccccccccccgaaaaa eaaaaa egccccccbbbbfccccccccccccccccgaaaaae eaaaaa egcccccccbbbbfcccccccccccccccccaaaaae caaaad egcccccccgbbbbfccccccccccccccccgaaaaag caaaad egccccccccgbbbbdcccccccccccccccgedaaaaaaaaac egcccccccccgbbbbdccccccccccccccge caaaaaaac egccccccccccdbbbbdcccccccccccccge eaaaaae egcccccccccccdbbbbgccccccccccccge aaae egccccccccccccdbbbbgcccccccccccge e eggggggggggggggfbbbbgggggggggggge eeeeeeeeeeeeeeefbbbbeeeeeeeeeee fbbbb fbbbb bbbbb bbbbb bbbbf bbbbf d bbbbf dbf bbbbd gbbbb ebbbbd cbbbbe ebbbbc ebbbbc cbbbbc ebbbbg cbbbbe bbbbd gbbbbe bbbbf dbbbbe bbbbf abbbb bbbbb fbbbb bbbbb fbbbb fbbbb bbbbb fbbbb bbbbb dbbbb bbbbf gbbbbe bbbbf cbbbbe bbbbf ebbbbc bbbbd ebbbbg ebbbbd bbbbd ebbbbg bbbbf cbbbbc bbbbf cbbbbe bbbbb gbbbbe bbbbb dbbbbe fbbbb abbbb abbbb fbbbb dbbbb fbbbb gbbbbe bbbbb cbbbbe bbbbbebbbbc bbbbbbbbg bbbbbbd bbbbf bbf ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#468f91ff b,#115434ff c,#bcd3d1ff d,#6da29fff e,#e0ebeaff f,#3c7359ff g,#95bbb7ff ``` ```image de aac aaag aaaag aaaaade aaaaaade aaaaaaaac aaaaaaaaac daaaaaaaaag daaaaaaaaad gaaaaaaaaade caaaaaaaaaae caaaaaaaaaac edaaaaaaaaag edaaaaaaaaag gaaaaaaaaade gaaaaaaaaade caaaaaaaaaac eaaaaaaaaaac edaaaaaaaaag daaaaaaaaad gaaaaaaaaade caaaaaaaaaae caaaaaaaaaac edaaaaaaaaag edaaaaaaaaag gaaaaaaaaade gaaaaaaaaaae caaaaaaaaaac eaaaaaaaaaac edaaaaaaaaag daaaaaaaaad gaaaaaaaaade gg caaaaaaaaaae bbg eaaaaaaaaaac bbbg edaaaaaaaaag bbbbc daaaaaaaaad bbbbbc gaaaaaaaaade bbbbbbc caaaaaaaaaae bbbbbbbe caaaaaaaaaac bbbbbbbfe eaaaaaaaaaag bbbbbbbbfe edaaaaaaaaag dbbbbbbbbfe gaaaaaaaaade dbbbbbbbbf gaaaaaaaaade dbbbbbbbbf caaaaaaaaaac abbbbbbbba eaaaaaaaaaac fbbbbbbbbd edaaaaaaaaag fbbbbbbbbd daaaaaaaaad efbbbbbbbbd gaaaaaaaaade efbbbbbbbbg caaaaaaaaaae efbbbbbbbbg caaaaaaaaaac ebbbbbbbbbc edaaaaaaaaag cbbbbbbbbbc edaaaaaaaaa cbbbbbbbbbc gaaaaaaaa cbbbbbbbbbe gaaaaaaa gbbbbbbbbfe caaaaaa gbbbbbbbbfe eaaaaa gbbbbbbbbfe edaaa dbbbbbbbbf daa dbbbbbbbbf ga abbbbbbbba c fbbbbbbbbd fbbbbbbbbd efbbbbbbbbd efbbbbbbbbg efbbbbbbbbg ebbbbbbbbbc cbbbbbbbbbc cbbbbbbbbbc cbbbbbbbbbe gbbbbbbbbfe gbbbbbbbbfe gbbbbbbbbfe dbbbbbbbbf dbbbbbbbbf ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#468f90ff b,#115434ff c,#bbd3cfff d,#6ca09bff e,#e1ebeaff f,#3f755bff g,#93b8b2ff ``` ```image ac eaaae eaaaad caaaag gaaaag d daaaac gaa daaaae caaaae aaaaae aaaaac aaaaa daaaag aaaaa gaaaad aaaaa caaaaa eaaaaa eaaaaa eaaaad aaaaae caaaad aaaaac caaaag daaaad gaaaag caaaaa daaaac eaaaaa daaaae aaaaae aaaaae aaaaac aaaaa daaaag aaaaa gaaaad aaaaa bg eaaaaa eaaaaa bbbc aaaaa eaaaad cbbbbc aaaaae caaaad gbbbbe daaaac caaaag gbbbbe gaaaad gaaaac dbbbb caaaaa daaaac fbbbb eaaaaa daaaae fbbbb aaaaae aaaaae fbbbb aaaaac aaaaa bbbbb daaaag aaaaa bbbbb gaaaad aaaaa bbbbf eaaaaa eaaaaa bbbbf aaaaa eaaaad bbbba aaaaae caaaad bbbbd daaaag caaaag ebbbbg gaaaaaaaaac ebbbbc caaaaaaac cbbbbc eaaaaae gbbbbe aaae gbbbbe e dbbbb fbbbb fbbbb fbbbb bbbbb bbbbb bbbbf bbbbf g bbbbf dbf bbbbd gbbbb ebbbbg cbbbbe ebbbbc ebbbbc cbbbbc ebbbbg cbbbbe bbbbd gbbbbe bbbbf dbbbb bbbbf abbbb bbbbb fbbbb bbbbb fbbbb fbbbb bbbbb abbbb bbbbb dbbbb bbbbf gbbbbe bbbbf cbbbbe bbbbf ebbbbc bbbbd ebbbbg ebbbbg bbbbd ebbbbg bbbbf cbbbbc bbbbf cbbbbe bbbbb gbbbbe bbbbb dbbbb fbbbb abbbb abbbb fbbbb dbbbb fbbbb gbbbbe bbbbb cbbbbe bbbbbebbbbc bbbbbbbbg bbbbbbd bbbbf bbf ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#f613bbff b,#8aa3d7ff c,#fa8cddff d,#bdcbe8ff e,#eee8f6ff f,#f74ccbff g,#fcc1ecff ``` ```image caa aaa aag faa eac aaf gaaaae gaa caaaaaaf aaa caaa gaaaac aac faaa faaaae caa faaa aaaaf aaa aaaa gaaaac eaag aaaf faaaae faa aaaf aaaaf aaf aaaf gaaaac gaa aaac faaaae aaa eaaag aaaaf aag gaaag gaaaae faa gaaae faaf aaf caaa faa gaae caaa aag aaa faaa aaa aac faaa caa caa aaaa aag aaa aaaf aaa aag aaaf caafaa aaaf aaaaf aaac aaaa eaaag caaa gaaag aac gaaae cf caaa caaa faaa faaa aaaa aaaf aaaf aaac aaac eaaag gaaag gaaae ebd caaa bbbb faaa dbbbbe faaa ebbbbd faaa bbbbb aaaa bbbbb eaf dbbbbe g ebbbbd bbbbb dbbbbe dbbbbd ebbbbb bbbbb dbbbbe ebbbbd bbbbb bbbbbe dbbbbd ebbbbd bbbbb dbbbbe dbbbbd ebbbbb bbbbb dbbbbe ebbbbd bbbbb dbbbbe dbbbbd ebbbbd ebbbbb ebbbbbbbe edbbbbbbbbd edbbbbbbbbbe dbbbbbbbbbe dbbbbbbbbbd dbbbbbbbbbd dbbbbbbbbbd dbbbbbd ebde ``` <!-- end of image -->	[ "" ]
Alright, let's get to work and investigate this image for intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#907674ff b,#5c0321ff c,#c894baff d,#b1d7b1ff e,#e112c0ff f,#753748ff g,#98c696ff ``` ```image c ccceeeeeeeeee ggggggggggggggggggggggggggggggggggggggggggggggggggggggggceeeeeeeeeeecc ddddddddddddddddddddddddddddddddddddddddddddddddddddddddecddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddddceddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddddedddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddeddddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddceddddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddedddddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddecdddddddfdddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddceddddddgbbaddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddecdddddfbgafddddddg dddddddddddddddddddddddddddddddddddddddddddddddddcedddddbbdddbddddddg dddddddddddddddddddddddddddddddddddddddddddddddddecdddabaddddbddddddg dddddddddddddddddddddddddddddddddddddddddddddddddedddbbddddddbddddddg ddddddddddddddddddddddddddddddddddddddddddddddddecdabadddddddbddddddg ddddddddddddddddddddddddddddddddddddddddddddddddedbbdddddddddfadddddg ddddddddddddddddddddddddddddddddddddddddddddddceabfddddddddddafdddddg dddddddddddddddddddddddddddddddddddddddddddddeefbddddddddddddgbdddddg ddddddddddddddddddddddddddddddddddddddddddddeebfddddddddddddddbdddddg ddddddddddddddddddddddddddddddddddddddddddcefbgdddddddddddddddbdddddg dddddddddddddddddddddddddddddddddddddddddeebfdddddddddddddddddbdddddg ddddddddddddddddddddddddddddddddddddddddefbgddddddddddddddddddfaddddg ddddddddddddddddddddddddddddddddddddddcebbddddddddddddddddddddafddddg dddddddddddddddddddddddddddddddddddddefbadddddddddddddddddddddgbddddg ddddddddddddddddddddddddddddddddddddebbddddddddddddddddddddddddbddddg ddddddddddddddddddddddddddddddddddcebadddddddddddddddddddddddddbddddg dddddddddddddddddddddddddddddddddebbdddddddddddddddddddddddddddbddddg ddddddddddddddddddddddddddddddddebfddddddddddddddddddddddddddddbgdddg dddddddddddddddddddddddddddddddebfdddddddddddddddddddddddddddddafdddg ddddddddddddddddddddddddddddddeabddddddddddddddddddddddddddddddgbdddg dddddddddddddddddddddddddddddecbddddddddddddddddddddddddddddddddbdddg ddddddddddddddddddddddddddddeebaddddddddddddddddddddddddddddddddbdddg dddddddddddddddddddddddddddeefbdddddddddddddddddddddddddddddddddbdddg ddddddddddddddddddddddddddcegbddddddddddddddddddddddddddddddddddbgddg dddddddddddddddddddddddddcedbgddddddddddddddddddddddddddddddddddfaddg dddddddddddddddddddddddddedbfdddddddddddddddddddddddddddddddddddabddg ddddddddddddddddddddddddedabdddddddddddddddddddddddddddddddddddddbddg dddddddddddddddddddddddecdbddddddddddddddddddddddddddddddddddddddbddg ddddddddddddddddddddddecdbaddddddddddddddddddddddddddddddddddddddbddg dddddddddddddddddddddeedffdddddddddddddddddddddddddddddddddddddddbgdg b ddddddddddddddddddddeedgbddddddddddddddddddddddddddddddddddddddddfadg b dddddddddddddddddddceddbgddddddddddddddddddddddddddddddddddddddddafdg af ddddddddddddddddddceddbaddddddddddddddddddddddddddddddddddddddddddbdg b ddddddddddddddddddeddabdddddddddddddddddddddddddddddddddddddddddddbdg b dddddddddddddddddeddgbddddddddddddddddddddddddddddddddddddddddddddbdg db ddddddddddddddddecddbgddddddddddddddddddddddddddddddddddddddddddddbgg fc dddddddddddddddecddffdddddddddddddddddddddddddddddddddddddddddddddfag b ddddddddddddddeeddabddddddddddddddddddddddddddddddddddddddddddddddafg b dddddddddddddeedddbdddddddddddddddddddddddddddddddddddddddddddddddgbg cf ddddddddddddcedddbaddddddddddddddddddddddddddddddddddddddddddddddddbg bd dddddddddddcedddfbdddddddddddddddddddddddddddddddddddddddddddddddddbg b ddddddddddcedddgbddddddddddddddddddddddddddddddddddddddddddddddddddbg b ddddddddddeddddbgddddddddddddddddddddddddddddddddddddddddddddddddddfa aa dddddddddecdddbfdddddddddddddddddddddddddddddddddddddddddddddddddddaf b ddddddddecdddabddddddddddddddddddddddddddddddddddddddddddddddddddddgb b dddddddeeddddbddddddddddddddddddddddddddddddddddddddddddddddddddddddb cf ddddddeeddddbaddddddddddddddddddddddddddddddddddddddddddddddddddddddb bc dddddceddddffdddddddddddddddddddddddddddddddddddddddddddddddddddddddb b ddddceddddgbddddddddddddddddddddddddddddddddddddddddddddddddddddddddbc b dddcedddddbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfa aa dddedddddbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddab b ddecddddfbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb b decddddgbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb cb eedddddbgdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb fc eedddddbfddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgbcb c cb aab b cba bc b ff b db b ba ab b bd ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c6477ff b,#5d0321ff c,#ed5cd6ff d,#c2a1acff e,#e40dc2ff f,#7c2b4aff g,#efc8e6ff ``` ```image gceeeeeeeeeeeeeeecc eeeeeeeccccggg eec ee ec ge ec ee gee cec gee geeg cec eeg ec cc geg ce gee gf cec dbbd cec bbbdaa eeg abfg df ec dbba gb geg abbf bg geg abbd bd ce gfbb ba gee dbbbd bf cec gbbfg bf geeg dbbd bb geeg bbba fbd eec abfg aba ceedfba dba cecabbb dbf eeeabbd bbg cecfbfg fbd geeabbb aba geeebbfg aba geefbbg gbb geebbba bb ceebbfd fb ceebba ab gefbbd ab cefbbd gb geefbfg bg eebbb fd cfbbfg ad gefbfg df ebbb gb gebbbd bg gefba bd ceeba bd ceabb bf cedbbd bb geebba bb geecbf bbg eecgbd aba eegfb dbf cegabb dbf cegdbbd gbb geegfbf fbd eec bbg aba gec dbd dba gec fa dbf ee ab gbb ceeggbba fbd ceeg fbf aba eeg bbg aba gec dbd dbf gee fb bb eee abb fb cee gbbd ab eeg fba ab ceg abb db gee gba bg geec ff fd geec abg fd eee dbb aa ceg fbf gb ceg bbg bg cee gbd bd geec ff bd gec dbb bf ec gbba bb ce fbf bb cee abbg bb ceeg bbd fb eec af db gec dbg db gec gbb gb ee fbf b ceeg bbd a eeg gba d ceg ff d gec dbg g gee gbb eec abbg eee dbbd eeg bba ceg bf gee dbd geec bb eec abf ec dbbg ceg bf cee abg ceeg dbd geec gbb eec fbf gec gbbd ee fba ``` <!-- end of image --> There is no intersection present within area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a47282ff b,#5d0321ff c,#ee65d9ff d,#c6a5b0ff e,#e40fc3ff f,#823753ff g,#f0cbe7ff ``` ```image gg ggcceeeeeeeeee geeeeeeeeeeccgg egg ge e ge e ge eg ge eg ge eg f ge gbbd eg fbgdf ge bf b eg abd b ge bb b eg dbd b ge bb fd cedba af eefb gb eebf b gefbg b eebf b efbd fd gebb aa cfbd gb ebb b geba b cbb b ebf bd eff aa edb db ecb b ecba b ceab b cegb bg ge bg aa ge bf df egdb b eg b b ec bd b ec ff bg b ce gb fa b ce bg df af ge ba b bg ge ab b b e gb b gb eg bg bg fa ec ff fd b ec db df b ee b gb df ce bd b bg ge fb b b ge gb b gb e bg fd fa eg ba af b ec ab gb b ec b b df ee bd b bd ce ff b b ge db fd b ge b aa aa e ba gb b eg ab b b ec gb b db ec bg b fd ee bf bdb g db aab b dbf bd bg ff b gb bg ba ab b bg ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#b0d7b0ff b,#84e747ff c,#8ece91ff d,#d0edcdff e,#b3f28bff f,#62e50fff g,#eff7eeff ``` ```image e bffg dffe bfbg effe gcccccccccccccccccccca gffe gaaaaaaaaaaaaaaaaaaaac bfb gaaaaaaaaaaaaaaaaaaaac effg gaaaaaaaaaaaaaaaaaaaac effd gaaaaaaaaaaaaaaaaaaaac dffe gaaaaaaaaaaaaaaaaaaaac gffe gaaaaaaaaaaaaaaaaaaaac bfbgaaaaaaaaaaaaaaaaaaaac effaaaaaaaaaaaaaaaaaaac gcffcaaaaaaaaaaaaaaaac gaacffcaaaaaaaaaaaaaac gaaaaaffbaaaaaaaaaaaac gaaaaaaabfbaaaaaaaaaac gaaaaaaaaabffaaaaaaaac gaaaaaaacaaacffcaaaaac gaaaaaaccaaaaacffcaaac gaaaaaccacaaaaaaaffbac gaaaaccaaccaaaaaaaabff gaaaacaaaacaaaaaaaaaabffg gaaacaaaaaacaaaaaaaaac dffd gaacaaaaaaacaaaaaaaaac gffe gaccaaaaaaaacaaaaaaaac bfe gccaaaaaaaaaccaaaaaaac bfb dcaaaaaaaaaaacaaaaaaac effg caaaaaaaaaaaaacaaaaaac dffd cdcaaaaaaaaaaaaccaaaaac gffe cd ggggggggggggggcgggggg bfe ac dc bfb dc cg effg gc gc dffd cg aa gffe cd c bfe ca dc bf dc cd gc c c aa cd c ca gc ac cd dc c c ac cg cg cd gc ac cd dc c gc dc c cg cg cg cd gc ad ca aa ad dc c da gc dc gc c cd gc cd c cca aa cc c c gc cd c ac cg gc cd c dc cd cc acg gca cc dcg gca cc dcd ca ac gc ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#a4daa9ff b,#88eb48ff c,#88cf8fff d,#e4f6e1ff e,#acf17fff f,#63e60fff g,#c6ecbdff ``` ```image bg fffe effffed gbfffbd gbfffbg defffbg deffffe effffed gbfffbd gbfffbg defffbg deffffe effffed ga gbfffbd gcca gbfffbg dccccd defffbg dccggca deffffe aca ccg effffed acc dccd gbfffb gccd aca gbff dccd dccd de dccg gcc cca ccg aca dccd gccd aca gccd ccd dccg gcc cca acg aca dccd accd gca gccd ccg dccg gcc ccg aca ca dccd c gca d ccg ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a1d8a7ff b,#88eb48ff c,#88ce8fff d,#dff3dcff e,#a9f17bff f,#63e60fff g,#c0eab6ff ``` ```image g bffd gffe bfb gffg ffe bfb eff gffd dffg ffe bfb eff gffd dffg ffe bfb eff a gffd ccd dffg aa c ffe gc aa bfb dc c eff c dc gffd cd cd dffg ca c bfe gc ga bfb dc c eff c dc gffd cd cg dffg cg c bfe aa gc bfb dc cd effd c c gffd c ag dffg cd c bfe aa dc bf gc cd dc c c aa cd c ca dc gc cd dc c c ga cd c cg dc aa cg dc c c gc c c cd c cd c ad aa ag gg gc c gg dc dc da c cd c cd c cca aa cc c c dc cd c ga c dc ag c gc cd ca gc dcg cc gcd ca ac dcd ca ac dc ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#cd469aff b,#9891fdff c,#e9b0d4ff d,#da77b5ff e,#cecbfdff f,#b2acfdff g,#eee1f5ff ``` ```image g ebbbbf ebbbbbbbbbbg ebbbbbbbbbbbbbbbf gbbbbbbbbbg fbbbbbbb gbbbbbbbbbe ebbbbbbbe fbbbbbbbbe gbbbbbbbf fbbbbbbbbe fbbbbbbbg fbbbbbbbbf ebbbbbbbe ebbbbbbbbf gbbbbbbbf ebbbbbbbbfg fbbbbbbbg ebbbbbbbbbg ebbbbbbbe gbbbbbbbbbg bbbbbbbb gbbbbbbbbbe ebbbbbbbe fbbbbbbbbe gbbbbbbbf bbbbbbe fbbbbbbbg fbbf ebbbbbbbe gbbbbbbbf fbbbbbbe ebbbb bf g daaac aaaaaaaac aaaaaaaaaaaac caaaaaaaaaaadc caaaaaaaaaaadc caaaaaaaaaaadg caaaaaaaaaaadg daaaaaaaaaaadg gdaaaaaaaaaaadg gdaaaaaaaaaaadg gdaaaaaaaaaaac gdaaaaaaaaaaac gdaaaaaaaaaaac cdaaaaaaaaaaac caaaaaaaaaaaac caaaaaaaaaaaac caaaaaaaaaaadc caaaaaaaaaac caaaaaaa caaaa aaad caaa aaaa aaad caaag aaaa aaad caaag aaaa aaad gaaag daaa aaaa gaaac daaa aaaa gaaac daa c ``` <!-- end of image -->	[ "" ]
Time to put on my detective hat and find those intersection points! These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#a87494ff b,#635ad0ff c,#c8a4baff d,#924675ff e,#aed5aeff f,#9d99deff g,#e0d4e6ff ``` ```image a d gd ad dc d gcaadddda gd ddaaccggdd ad gd dd dc da dd d d adg d cd cdc cd dc gda da gd dd dg da dd d d ddg cd cd adg da dc cda dg gd gda d da dd gd d dd ad cd adg dc dc cdc d gd gda gd da dd ad d dd dc cd dd d dc adg d gd cdc cd da gda da d dd dg cd dd d dc adg cd gd cdc da da gda dg d gdd d cd dd gd dc dd ad gd adg dc da cdc d d gda gd cd dd ad dc dddc gd dd da g d cd dc gd da dc dc dg dg dg d d g d fbbbbbbff d gbbbf gfbbbbbbfg d fbbb gfbbbbbbfg d gbbbg gfbbbbbb d fbbf gf d gbbbg gd bbbf gd fbbbg gd gbbbf cd fbbb cd gbbbg cd fbbf eeeadeeeeeeeeeee gbbbg eeeadeeeeeeeeeee bbbf eeedaeeeeeeeeeee fbbbg eeedaeeeeeeeeeee gbbbf eeedaeeeeeeeeeee fbbb eeedaeeeeeeeeeebbbg eeedaeeeeeeebbbb eeedaeeeefbbbeee eeedceebbbfeeeee eeedabbbeeeeeeee eeedbfeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#a5678dff b,#6459d0ff c,#ba8faeff d,#914574ff e,#cfbfdcff f,#9b94dfff g,#e2def1ff ``` ```image cdd cdd cdd cda ada ada ada ada adc ddc ddc ddc ddc gf ddc gfbbb gddc efbbbbb gdde gfbbbbbbfg gdde efbbbbbfg gdde gfbbbbbbe edde ebbbbbbfg edde gfbbbbbfe eddfbbbbbbfg cddbbbbfe cddbbfg gbfg ``` <!-- end of image --> Area A does not contain any intersection points. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a6688eff b,#635ad0ff c,#be92adff d,#914574ff e,#d1b9d0ff f,#9e97e1ff g,#e5dbe9ff ``` ```image c d gd ad de d gcaadddda gd ddaaceegdd cd gd dd dc da dd d d adg d cd edc cd de gda dc gd dd dg da dd d d adg ed cd cde aa de edc de gd gda d da dd ed d dd aa cd adg de de cde d gd gda gd da dd cd d dd dc cd dd d de adg d gd edc cd da gda dc d dd dg cd dd d de adg ed gd cde aa da edc de d gda d cd dd ed de dd aa gd adg de da cdc d d gda gd cd dd cd de dddc gd ad da e d cd de gd da de de de dg dg d d g d fbbbbbbfe d gbbbf gfbbbbbbfe d fbbb gfbbbbbbfg d gbbbe gfbbbbbb d fbbf ef d ebbbg gd bbbf gd fbbbg ed gbbbf ed fbbb cd gbbbe cd fbbf cd ebbbg aa bbbf aa fbbbg aa gbbbf dc fbbb dc gbbbe de fbbf de ebbbg de bbbf dfbbbg dbf ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e60c28ff b,#81b343ff c,#f18391ff d,#cadfb1ff e,#ea3f55ff f,#f4dfdbff g,#a8ca7dff ``` ```image gbd fbbbbb gbbbbg fbbbbbd gbbbbg dbbbbbf gbbbbg dbbbbbf gbbbbg dbbbbbf bbbbbd dbbbbb bbbbd dbbb bbbd bbb dbbb gbbg bbbf fbbb gbbg bbbd fbbb dbbb bbbd bbb dbbb gbbg bbbf f fbbb bb gbbg fbbbf bbbf bbbg fbbb dbbb gbbg f bbbg bbbd fac dbbb bbb faac bbbd dbbb faac gbbb gbbd faac bbbd bbbf faac gbbbbb faac fbbg faac faae aae aae aae aae aae aae aae aae aae aa aaa aaa aaa eaaa aaa caaaaf aaa faafcac aaa aac fae aaa aae aa aaa aaa aa aaa aaa aa aaa faaa aa aaa caae eaf aaa aaac cac aaa faaa fae aaa caaa aa aaa eaac aa eaa aaaf aa eaa faaa aa eaa eaae eaf eaa aaaf cac eaa faaa fae eaa caae aa eaa aaac aa eaa faaa aa eaa caae aa eaaf eaac eaf caaf caaf cac caaf e fae caaf aaaeaaf caaaaf cf ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#468ff5ff b,#4ad5e0ff c,#106ff3ff d,#86e2eaff e,#83b4f8ff f,#dcf0faff g,#b4e1f5ff ``` ```image bd gbbbf bbbbbb fbbbbbd dbbbbbf bbbbbb fbbbbbd dbbbbbf bbbbbb fbbbbbg dbbbbb bbbbbb gbbbbbg bbbbbb fbb bbbbbd bbbf gbbbbbf bbbd bbbbbb bbbb dbbbbbbd fbbb dbbbbbbbbf bbbd dbbbbbbbbbb bbbb dbbbbbbbbbbf gbbb gbbbbbbbbbbf bbbg gbbbbbbbbbbf bbbb gbbbbbbbbbbg dbbb gbbbbbbbbbbg bbbf gbbbbbbbbbbg bbbd fbbbbbbbbbbg bbbb fbbbbbbbbbbg fbbb fbbbbbbbbbbd bbbd fbbbbbbbbbbd bbbb dbbbbbbbbbd gbbb fbbbbbbbbbd bbbg fbbbbbbbbd bbbb gbbbbbbbdf dbbbbbbbbbbd bbbbbbbbg bbbbbbg dbbbf ff ecccf ccccca accccccce ccccccccccg accc ccccccc ccca fcccccca cccc ecccccce fccca accccccf cccc ccccccc gccce gcccccce cccc eccccccg ecccg acccccc cccc fcccccca acccf gcccccce cccc accccccf cccc ccccccc fccca fcccccca cccc eccccccg gccce accccccf cccc cccccca eccce gcccccce cccc eccccccg acccf acccccc cccc fcccccca acccf gcccccce ccca accccccf cccc ccccccc fccca fcccccca cccc eccccccg gccce accccccf cccc cccccca ecccg gcccccce cccc eccccccg acccf ccccccc cccc fcccccca cccc ecccccc fccca accc fccc ca ge ``` <!-- end of image -->	[ "" ]
This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f3df8ff b,#f89bbfff c,#b3b8fcff d,#727cf8ff e,#b1d7b1ff f,#f8cfe2ff g,#96c996ff ``` ```image bbff fbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbf fbbbb fbb bbb bbf bbf bb fbb bbb bbf bbf bb fbb bbb bbf gggggggggbbggggggggg eeeeeeeeeebbeeeeeeee eeeeeeeeeebbbeeeeeee eeeeeeeeeeebbbeeeeee eeeeeeeeeeeebbbeeeee eeeeeeeeeeeeebbeeeee eeeeeeeeeeeeeebbeeee daaaaaaaaaaaaaddddccccf eeeeeeeeeeeeeebbbeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddccccf eeeeeeeeeeeeeeebeeee aa cccccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadeee aa cccccddddaaaaaaaaaaaaaaaaaadeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee cad eeeeeeeeeeeeeeeeeeee dac eeeeeeeeeeeeeeeeeeee da eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa gggggggggggggggggggg cad dac aa aa aa aa aa ad cad dac aa aa aa aa aa fad cad dac aa aa aa aa aa fad cac dac aa aa aa aa aa caaaac aa caaaaad aaac c ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#2e3cf9ff b,#f89abeff c,#bdc1fcff d,#5c67f9ff e,#f2e4f4ff f,#fab8d1ff g,#8b92fbff ``` ```image fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbe fe aadddddddggggggcccccceeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaag eeecccccccggggggddddddaaaaaaaag eeee ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#2d3bf8ff b,#f99abfff c,#b4b9fcff d,#5460f9ff e,#f2e6f5ff f,#fac3d9ff g,#818afaff ``` ```image bbfe ebbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbe fbbbb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb gaaaaaaaaaaaaddgggccccee fbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddgggccccee f aa eeecccgggdddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddg aa eecccgggdddaaaaaaaaaaaaaaaaag aa ee ad cag gac dae aa aa aa aa ead cag gac dae aa aa aa aa ead cag gac da aa aa aa aa ead cag gac aa aa aa aa aa ead cag gac aa aa aa ade aa caaaac aa caaaaad eaaac c ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#05445bff b,#a3b99fff c,#c3d1c7ff d,#487687ff e,#80a0abff f,#e2e9e3ff g,#175267ff ``` ```image be caag daaa e gaaa faaa aaaa aaaaa aaaa aaaaaaa aaaa gaaaaaaaa aaaa daaaa gaaaa aaaa eaaaa gaaaa faaaa caaaaf gaaaa caaaa faaaac gaaaa eaaaaf aaaae gaaaa daaaaf aaaad gaaaa gaaaac daaag gaaaa aaaaac eaa gaaaa aaaaab c gaaaa aaaaae gaaaa aaaaae gaaaa aaaaad gaaaa aaaaad fc gaaaa caaaaad bbb gaaaa eaaaaag bbb gaaaa daaaaag bbb gaaaa gaaaaaa f bbb gaaaa aaaaaaa cae bbbf gaaaa aaaaaaa faaad fbbbf aaaaa aaaaaaa aaaae fbbbf aaaaa aaagaaa aaaad fbbbc aaaaa aaadaaa gaaag fbbbc aaaaa aaaeaaa daaaa fbbbc aaaaa caaacaaa eaaaa fbbbc aaaaa baaacaaa caaaa fbbbb aaaaa eaaafaaa faaaac fbbbb aaaaa daaafaaa aaaae fbbbb aaaaa aaaa aaa aaaad fbbbb aaaaa aaad aaa gaaag fbbbb aaaaa aaae aaaf daaaa cbbbb aaaaa aaab aaaf eaaaa cbbbb aaaaa aaac aaac caaaa cbbbb aaaaa aaa aaac faaaac cbbbb aaaaa faaa aaab aaaae cbbbb aaaaa baaa aaae aaaad cbbbb aaaaa eaaa aaae gaaag cbbbb aaaaa daaa aaad daaaa cbbbb aaaaa gaaa aaadeaaaa cbbbb aaaaaaaag aaagaaaa cbbbbf aaaaaaad aaaaaaac cbbbbf aaaaaae aaaaaae cbbbbf aaaaac gaaaad cbbbbf aaaa daaag bbbbbc aaa eaaa bbbbbc ed bbbbbc bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbbbbf f bbbbbbbbbbc fbbbb bbbbbbbbbbbbbc fbbbbbbbbf bbbc cbbbbbbbbbf cbbbbbbbbbbbbc bbbc fbbbbbbbbbbf cbbbbbbbbbbbbbbf bbbc fbbbbbbbbbbf fcbbbbbbbbbbbbbcf bbbc cbbbbbbbbbc bbbbbbbbbbbbbcf bbbc cbbbbbbbbbc bbbbbbbbbbc bbbc cbbbbbbbbbf bbbbbbbc bbbc fbbbbbbbbbbf cbbbb bbbc fbbbbbbbbbb cbbbb bbbc cbbbbbbbbbc fbbbb bbbf cbbbbbbbbbc fbbbbf bbbf bbbbbbbbbbf bbbbf bbbf fbbbbbbbbbbf bbbbc bbbf fbbbbbbbbbbbbbbc bbbf cbbbbbbbbbbb cbbbbbbb bbbb ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#130fb9ff b,#0a6787ff c,#6866d2ff d,#a8b5deff e,#5b98aeff f,#322fc2ff g,#dee4f2ff ``` ```image ge bbbbe bbbbbbbd gbbbbbbbbbd dbbbbbbbbbg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbd gebbbbbbbbd gbbbbbbbbbg dbbbbbbbbeg dbbbbbbbbe ebbbbbbbbe gebbbbbbbbd gbbbbbbbbbg dbbbbbbbbeg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbd gbbbbbbbbbd dbbbbbbbbbg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbbed gebbbbbbbbbbbeg gbbbbbbbbbbbbbbd gebbbbbbbbbbbbbeg debbbbbbbbb dbbbbb ge af gaaa faaa aaad caaa aaac daaa aaaf gaaag faaa aaad caaa aaac daaa aaaf gaaag faaa aaad caaa aaac gac daaa caaaag aaaf aaaaaaac gaaag caaaafaaaaag faaa aaaaad aaaaac aaad daaaaa daaaaag caaa faaaac aaaaac aaac gaaaaag daaaac daaa caaaaf aaa aaaf aaaaad dg gaaag daaaaa faaa faaaac aaad gaaaaag caaa caaaaf aaac aaaaag daaa daaaaf aaaf aaaaad gaaag daaaaa faaa faaaac aaad gaaaaag caaa caaaaf aaac aaaaad daaa daaaaa aaaf faaaac gaaag gaaaaag faaa caaaaf aaad aaaaad caaa daaaaa aaac faaaad daaaaaaaa aaaaaac aaaag caf ``` <!-- end of image -->	[ "" ]
I have a feeling there might be some intersections in this image. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#64718dff b,#c3a16eff c,#ab6f24ff d,#d7d2cfff e,#2f3e67ff f,#99b8a3ff g,#b0d6b0ff ``` ```image bd c gb c db c c c c bd c bg fggggggggggggggf dbcc c gggggggggggggggf bcccb dbgggggggggggggggf dcccbd cgggggggggggggggf dbccbd dcggggggggggggggf bcccb cggggggggggggggf dcccbd gcgggggggggggggf dbccbd gcfggggggggggggf bcccb ggcggggggggggggf dbccbd ggbbgggggggggggf dbcccd gggcgggggggggggf bcccb gggbbggggggggggfdbccbd ggggcggggggfbcccd ggggfcgbcccbgggf gggggccfgggggggf gggggaaggggggggf gggggeaggggggggf ggggfeaggggggggf ggggegaggggggggf ggggegaggggggggf gggafgeggggggggf fe fffeffeffffffffg aa ff e ed e e de a e aa e e eg e e de ad e ae e e ef df e de e e ae a e ef e a de e a ae fd a ef e fd ed da fd fe e gg ea e df ed a df fe e a ea fg a ed e a ge da e aa e e ed e e de ad e aa e e eg ff e de a e ae e ef e de e ae e ef e de a ae a ef a ed fd fe fd ea df ed df fe df ea a ed a ge a aa eed e ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#5b6787ff b,#d7ba97ff c,#ab6d21ff d,#eae1d5ff e,#2b3964ff f,#9ba2b6ff g,#c1945cff ``` ```image d g cd cg gcd dcg bcb cc bcb ccd bcg gcd dcg gcd dcg bcb cc bcb cc bcb gcd db dcg dbgcccc gcd dbbgcccccgbd dcg dbgcccccgbbd gccccccggbd dccgbd f aef eef feef aeef deaef fefef ea ea fef ea ae ea def ea aed ea dea aa ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5e6989ff b,#d7ba97ff c,#aa6c20ff d,#d9d7d8ff e,#2d3b65ff f,#9aa1b5ff g,#c0925aff ``` ```image gd c bb c dg c c c c gd c bb dgcc c bcccb dg bgccgd c dgccgb dg bcccb c bgccgd c dgccgb gd bcccb c bgccgd bb dgccgb c bcccb bb bgccgd c dgccgb dg bcccb cgd af ef daf e a e a ad a fe e e aa ff e ed e e de da e aa e e ef e e de ad e aa e e ef df e de e e ae a e ef a a de e a fe fd a ef e fd ded df fd fe e fd ea e df ed a df fe e f ea ff a ed e a fe da a aa e e ed e e de ad e aa e e ef ff e de a e aa e ef e de e ae e ef a de a fe a ef fd ded fd fe fd ea df ed df fe df aa a ed a fe a aa eed e ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#71406cff b,#fabd90ff c,#c1adbfff d,#936e8fff e,#fce0ccff f,#f5e9e4ff g,#fad0b0ff ``` ```image c daa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaac caaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac egbbe daaaaac febbbbbbbbbbb daaaaac bbbbbbbbbbbbbbbbbbg daaaaac gbbbbbbbbbgef bbbbbf daaaaac bbbbge fbbbbb daaaaac gbbe gbbbbe daaaaac bbb bbbbb daaaaac gbbe gbbbbg daaaaac bbb bbbbb daaaaac bbbf ebbbbg daaaaac bbb bbbbbf daaaaac bbbf fbbbbb daaaaac bbb gbbbbe daaaaac bbbf bbbbb daaaa fbbb ebbbbg daa bbb bbbbbf fbbb fbbbbb bbb gbbbbe fbbb bbbbb bbb gbbbbg ebbg bbbbb bbb ebbbbg ebbg bbbbbf bbb fbbbbb gbbg gbbbbe bbb bbbbb gbbe ebbbbg bbb bbbbbf bbbe fbbbbb fbbbb gbbbbe gbbbb bbbbb bbbg gbbbbg bf bbbb ebg ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ed8670ff b,#dea9ccff c,#e75d3fff d,#efcfdcff e,#f5c1b6ff f,#f1a696ff g,#f9eceeff ``` ```image g ccc eca ce ccg gc acf ac gcc ce acd gc eca ac ccg ce fcf gc gcc ac ace ce dca gc ccg fc fca ce gcc gc ace fc dcc ce ccd c eca fc g ccg cf c cf c c fc ec cf af c cg fc c cf gc c fa fc ce cf c c c ec gc cf fa cg cd ec c cf c cg dc ec af cf cg cg c ec c ca ec cg af bd ec cg bb ca c dbd cg gc bbg ec fa gbb ca ce dbd cg c bb ec c dbd ca dc bbg cg fa gbb dc cd bbg ca c bb cg c dbd dc ec bbg aaaf gbb ccg bbg dc bb dbd bbg gbb bbg gbb dbd bb gbb bbg gbb dbd bb gdb gbb gdbbbddb bbg gbbbbd b gbb dbbbbd db dbd gdbbbbg b bbbbbdg db g b db b ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c21f46ff b,#ca8b9bff c,#6f3546ff d,#efdde1ff e,#d05271ff f,#986f7bff g,#ddb6c0ff ``` ```image dgf dbfcccccccccd gbfcccccccccffgd gbfcccccccccfbgd fccccfbg bccg gccb dccf dccf ccc ccc fccd bccg bccg gccb dccf dccf ccc fccd fccd bccg gccb gccf dccf ccc ccc fccd fccd bccg gccb ag ccf ea f ag ea ad aa da ae ga ae ga ab ba ag ea ad aa ad aa da ae ga ab ba ab ea ag ea ad aa da ae ga ae ea dad ae ea dad ae ea dad ae ea ag aa ba d ag aaaaaaaaaaaaaaaeeebbggdd aa ddggbbbeeaaaaaaaaaaaaaaaaaaaaaaaeeebbgggdd ba ddggbbeeeaaaaaaaaaaaag ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b6ec6aff b,#64b5c6ff c,#9fed20ff d,#ebf5ecff e,#2296c2ff f,#a1cfa2ff g,#b2d8b2ff ``` ```image d c ga c dc cd c aa c dc cd c ag c da c ddddddddddcdddddddddd dfffffffffaaffffffffff dfggggggggcggggggggggg dfgggggggfcggggggggggg dfgggggggcgggggggggggg dfgggggggcgggggggegggg dfggggggcagggggggegggg dfggggggcgggggggefgggg dfgggggaagggggggeggggg dfgggggcgggggggbbggggg dfgggggcgggggggegggggg dfggggcfgggggggegggggg dfggggcgggggggefgggggg dfgggaagggggggeggggggg dfgggcgggggggbbggggggg dfgggcgggggggegggggggg dfggcfgggggggegggggggg dfggcgggggggbfgggggggg cg dfgaagggggggeggggggggg aca dfgcgggggggfbggggggggg aca dffcgggggggegggggggggg ddddgccddddddddddddd dfcggggggggegggggggggg dfffffffccffffffffffff dfcgggggggbbgggggggggg gfggggggggccfggggggggf daagggggggeggggggggggg beggggggggggccaggggggf dcgggggggfeggggggggggg dfebggggggggggacaggggf dcgggggggegggggggggggg dfgbegggggggggggacaggf cfgggggggegggggggggggg dfggfebgggggggggggaccf cfggggggbbgggggggggggg dfggggeeggggggggggggfccd agfggggggeggggggggggggg dfgggggbefgggggggggggfdccd cdfgggggfeggggggggggggg dfgggggggebggggggggggf acg dadfgggggegggggggggggggg dfggggggggbegggggggggf aca c dfgggggegggggggggggggg dfggggggggggebgggggggf aca c dfggggbbgggggggggggggg dfgggggggggggeeggggggf gcc ad dfggggeggggggggggggggg dfggggggggggggfefggggf dccd c dfggggeggggggggggggggg dfggggggggggggggeegggf dccd da dfgggefggggggggggggggg dfgggggggggggggggbefgf acg c dfgggegggggggggggggggg dfgggggggggggggggggebf aca c dfffbbffffffffffffffff dfggggggggggggggggggbe aca ad dddeddddddddddddddddd dfgggggggggggggggggggfeg dcc c e dfgggggggggggggggggggf be dccd ga bd fffffffffffffffffffff ded ccd c e eb acg c gb ged accd e eb g e be bd deg e ee db ded e eb e be bd eb e be db ded e ee e ged bg eb e be db deg e be e ded bg eb e gede ed ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#c0f36cff b,#54add0ff c,#a1ee22ff d,#c8e4efff e,#2196c3ff f,#8bc8dfff g,#e0f9b7ff ``` ```image gccccg gacccg gaccca accca d acccag eed gcccag feeb gccccg dbeed gacccg feef gaccca deebd accca beef acccag feeb gcccag dbeed gcccc feef gac deeed g feef deebd beef feeb dbeed feef deebd beef deebd dbeed feeb dbeed feef deebd beef feeb dbeed feeb dee f ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Hmm, interesting. Let's check out another area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#bef367ff b,#53add0ff c,#a0ee1fff d,#c7e4efff e,#1f95c3ff f,#8dc9e0ff g,#dff9b5ff ``` ```image acg gca acg cc gca cc gca acg cc gca f cc deb gca fed acg ee cc fef acg bed cc deb gca fef acg ee cc fef acg bed cc deb gca fef acg ee gca def acg bed cc deb gca fef acg ee gca deb acg bed cc eb gca fef cc ee gca deb acg bed cc ee gca fef cc be gca deb acg bed cc ee acg fef cc bed gca deb acg fed cc ee acg fef cc bed gca deb acg fef gcc ee acg fef cc bed ca deb cg fef a ee g def bed deb fef ee deb bed eb fef ee deb bed ee fef bed deb bed ee fef ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area B. Answer: A: 0; B: 0; 0 + 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#c3f472ff b,#51acd0ff c,#a1ee21ff d,#c4e3efff e,#1f95c3ff f,#89c6dfff g,#e1f9baff ``` ```image g c ga c c c c aa c c c c ag c gc c c ag c ga c c e ag e c bd ga e c df c e ag e c bd ga e c db c e c e c bd cg aa e aca c db aca c e gcc c e gcc c fd d ccg ag e fe ccg c db ef aca gc e be aca c e ded gcc c ff bb gcc ag e ded ccg c db eb ccg ga e fe aca c e ef aca c ff be gcc ag e ded gcc c e eb ccg ga b de ccg c e ef aca c ff fe aca ag e ef gcc c e be gcc ga bd ded ccg c e eb acg c df fe accg e ef g e be bd ded e be db ded e eb e fe bd ef e be db ded e eb e de fd eb e fe db ef e be e ded ff eb e fedb e ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c11b78ff b,#0dc9a3ff c,#e6a5caff d,#a3eadbff e,#d462a2ff f,#5ddac1ff g,#e9e8edff ``` ```image dfg dbbbbbbbf gfbbbbbbbbbbbbbbf gfbbbbbbbbbbbbbbbbbbbbbd dfbbbbbbbbbbbbbfg gbbbbbbbbbbd dbbbbbbbbbbbbbbfg dbbbbbbbbbbg dbbbbbbbbbbbbbbd dbbbbbbbbbf gfbbbbbbbbbbbbbbd fbbbbbbbbbf gfbbbbbbbbbbbbbfd fbbbbbbbbbd dfbbbbbbbbbbbbbfg gbbbbbbbbbbd gfbbbbbbbbbbbbbbfg dbbbbbbbbf dfbbbbbbbbbbbbbbd dbbbbbg gfbbbbbbbbbbbbbbbd fbb gbbbbbbbbbbbbbbfg bbbbbbbbbfd bbbbbfg fd eaa aaag aaae aaaa eaaa caaa aaag aaac eaa aaaa eaaaaag eaaa geaaaaaaaae caaa geaaaaaaaaaac aaa geaaaaaaaaaac aaac gaaaaaaaaaaac aaae caaaaaaaaaaeg aaaa caaaaaaaaaaeg caaa caaaaaaaaaaeg gaaa caaaaaaaaaae aaac eaaaaaaaaaae aaae eaaaaaaaaaac aaaa eaaaaaaaaaac eaaa geaaaaaaaaaac gaaa geaaaaaaaaaac aaag gaaaaaaaaaaac aaae caaaaaaaaaaag aaaa caaaaaaaaaaeg eaaa caaaaaaaaaaeg caaa caaaaaaaaaae aaag eaaaaaaaaaae aaac eaaaaaaaaaac aaaa eaaaaaaaaaac eaaaaaaaaaaaaac caaaaaaaaaac aaaaaaac aaaag ``` <!-- end of image -->	[ "" ]
This is the image I'm working with. The goal is to count the intersections. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5226dff b,#8ac8beff c,#dca1beff d,#e9ebebff e,#aed6afff f,#b2dad4ff g,#c26293ff ``` ```image d dag aaa dag gaa gaac daac aaaac aaa aaaaad gaa aa aaad daac daa aaa aaa gaa aaa gaa aag aaa aac aac aaa aaa aa daaa caa aa daaa aag caa caag aaa gaa caag caad aac gaag aag aad gaac aaa aa gaac caad daa aaad aag caa aaad aaa aag aaa daad aac aaa aaa aa aaa gaa aa aaa daac caa daaa aaa gaa daaa gaabd aac caag eeeeeeeeeeeeeeeeeaagbb aad caag deeeeeeeeeeeeeeeeaaabbb aa d gaac deeeeeeeeeeeeeeegaabbbb daa bbf gaac deeeeeeeeeeeeeeeaagbebb caa bbbd aaad deeeeeeeeeeeeeeaaabeebb aag fbbbb aaad deeeeeeeeeeeeegaabeeebb aac bbdbbb aaa deeeeeeeeeegaaaageeeebb f aa dbb bbb aaa deeeeeecaaaaaaaaeeeeebb fbb aa bbb bbb aaa deeegaaaaaaagbbeeeeeebbd bbf caa bbd dbbf aaa caaaaaaaacebbbeeeeeeebbd bb gaa fbb fbbd daaaaaaaaaageeeebbbeeeeeeeebbf fbb aac bbf bbb daaaaageeeeeeebbbeeeeeeeeebbf bbf aad bb bbb dac deeeeeeebbbeeeeeeeeeebbf bb aa fbb bbb deeeeeebbbeeeeeeeeeeebbb fbb daa bbd bbb deeeeebbbeeeeeeeeeeeebbb bbf caa dbb dbbf deeeebbbeeeeeeeeeeeeeebb bb gag bbb fbbd deeebbbeeeeeeeeeeeeeeebb fbb aac bbd bbb deebbbeeeeeeeeeeeeeeeebb bbd aa dbb bbb dbbbbeeeeeeeeeeeeeeeeebb bb aa bbf bbb fbbbeeeeeeeeeeeeeeeeeebb fbb caa bb bbb fbbbeeeeeeeeeeeeeeeeeeebb bbd gaa fbb dbbf fbbbddddddddddddddddddddbb bb aag bbf fbbd fbbf bb fbb aad dbb bbb fbbf bbd bbd aa bbb bbb fbbf bbd dbb daa bbd bbbbbf bbf fbb caa dbb bbbf bbf bbd dcg bbf dbf fbf dbb bb fbb bbb fbb fbb bbd bbf dbb dbb dbb dbb bbb bbb bb bbd bbd bbdbb dbb bbbbb bbf bbbbd bb bbbb fbb bbbb bbf bbbd bb bbb bbb bbf bbd db dbb bbf bb fbb bbf bb fbb bbd dbb bbf bb fbb ff ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5226cff b,#8ac7beff c,#ca7fa7ff d,#e6efefff e,#e6bbd1ff f,#c6e3dfff g,#b64f86ff ``` ```image daaaaacbbb caaaagbbbb eaaaaabbbbb gaaaacbbbbb caaaagbbbbbb eaaaaabbbfbbb gaaaagbbf bbb caaaagbbf bbb eaaaaabbf bbb gaaaagbf bbb caaaaabf fbb decaaaaaabf fbb ecgaaaaaaaagf fbb decaaaaaaaaaaaaf fbb ecgaaaaaaaaaaaaaae fbb ecgaaaaaaaaaaaaaaggbf fbb decaaaaaaaaaaaaaaagcbbbf dbb ecgaaaaaaaaaaaaaagcbbbbbbd dbb gaaaaaaaaaaaaaagce dbbbbbbd dbb aaaaaaaaaaaaced dbbbbbbd dbb aaaaaaaagce dbbbbbbd bb aaaagced dbbbbbbd bb agcd dbbbbbbd bb dbbbbbbd bb dbbbbbbd bb dbbbbbbd fb dbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd db fbbbbbbd db fbbbbbbd db fbbbbbbd db fbbbbbbd b fbbbbbbd b fbbbbbbd b bbbbbbd b bbbbb b ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b5226cff b,#8ac8beff c,#d383acff d,#e2e9eaff e,#e7b8cfff f,#b1dad4ff g,#c2538cff ``` ```image d eag aag dag gaa gaac daae aaaae aaa aaaaae gaa aa aaad daae eaa aaa aaa caa aaa caa aag aaa aac aae aaa aaa aa daaa caa aa daaa aac eaa eaag aaa gag eaag eaad aac caac aag aad gaae aaa aa gaae eaad daa aaad aag caa aaad gaa aag aaa eaae aae aaa aag aa aaa gaa aa aaa daae eaa daaa aaa gaa eaag gaabd aac eaag aacbb aad caac aaabbb aa d gaac caabbbb daa bbf gaae aagb bb caa bbbd aaae aaab bb gag fbbbb aaad caab bb aae bbdbbb aaa caaaag bb f aa dbb bbb aaa egaaaaaaa bb fbb aa bbb bbb aaa dcaaaaaaagbb bbd bbf eaa bb dbbf aaa eaaaaaaagedbbb bbd bb gaa fbb fbbd daaaaaaaaaac dbbb bbf fbb aac bbf bbb daaaaagd dbbb bbf bbf aae bb bbb ege dbbb fbf bb aa fbb bbb dbbb fbb fbb daa bbd bbb dbbb fbb bbf caa dbb dbbf dbbb dbb bb gag bbb fbbd dbbb dbb fbb aae bbd bbb dbbb bb bbd aa dbb bbb fbbb bb bb aa bbf bbb fbbb bb fbb eaa bb bbb fbbb bb bbd caa fbb dbbf fbbf bb bb aac bbd fbbd fbbf bb fbb aae dbb bbb fbbf bbd bbd aa bbb bbb fbbf bbd bb daa bbd bbbbbf bbf fbb caa dbb bbbf bbf bbd dcg bbf dbf fbf dbb bb fbb bbb fbb fbb bbd bbf dbb dbb bb dbb bbb bbb bb bbd bbd bbdbb dbb bbbbb bbf bbbbd bb bbbb fbb bbbb bbf bbbd bb bbb bbb bbf bbd db dbb bbf bb fbb bbf bb fbb bbd dbb bbf bb fbb ff ``` <!-- end of image -->	[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#5386c5ff b,#984e30ff c,#b1d4afff d,#044cb1ff e,#9ab8ddff f,#b68a73ff g,#ded8dbff ``` ```image ggeeeeeaaaaadddaaeg cccddddddddddddddddddddddddddddddaaeg cccaaaaecccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaaddddddddddddde cccccccccccc geaaddde cccccccccccc cccccccccccc cccfcccccccc cccbbccccccc cccfbfcccccc ccccbbcccccc cccccbbccccc ccccccbbcccc ccccccfbbccc cccccccbbfcc ccccccccbbcc cccccccccbbc ccccccccccbb ccccccccccfbf cccccccccccbbc bb bb gbb fbf bbg bb bb cbb fbf bbg bb gbb fbf bbg bb bb gbb fbf bbg bb bb cbb fbc bb bb gbb fbf bbg bb bb gbb fbf bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb gbb fbf bbg bb gbb fbf bbc bb gfbg bb gffbbbbbbf gbb cfbbbbbbbbfg fbf cfbbbbbbbbfg bbcfbbbbbbbbfg bbbbbfc ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#326dbfff b,#984e2fff c,#d0afa1ff d,#034cb1ff e,#9cb8e0ff f,#b37c66ff g,#e2dcddff ``` ```image aaaddddddddddddddd addddddddddddddddd addddddddddddddddd eeeeeeeeeegggggg cc fbbc gbbbbg cbbbf fbbbf fbbbc gbbbbg gbbbbg cbbbf fbbbf fbbbc gbbbbg cbbbb cbbbf fbbbc bbbbg gbbbbg cbbbf fbbbf fbbbc gbbbb gbbb cbb fb b ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#5082c8ff b,#984e2fff c,#d0afa1ff d,#044cb1ff e,#9cb8dfff f,#b47f69ff g,#dfdce0ff ``` ```image gggeeeeeaaaaadddaaeg ddddddddddddddddddddddddddddddaaeg eeeeeggg geaadddddddddddddaaeg geaadddddddddddddaaeg geaadddddddddddddaaeg geaadddddddddddddaaeg geaaddddddddddddde geaaddde c gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb cbf fbc bbg bb gbb cbf bbg bb bb gbb fbc bbg bb gbb cbf fbc bb bb gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb gcbg bb gcfbbbbbbc gbb cfbbbbbbbbfg fbf cfbbbbbbbbfg bbcfbbbbbbbbfc bbbbbfc ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a70d7ff b,#4bc96eff c,#0223c5ff d,#afd8b1ff e,#d9e6ecff f,#79d491ff g,#9eaae8ff ``` ```image ddddddddddddddd ddddddddddddddd ddddddddddddddd dddbddddddddddd dddbbbddddddddd ddddfbbbddddddd ddddddfbbbddddd ddddddddfbbbddd ddddddddddfbbbd ddddddddddddfbbb dddaddddddddddfbbf dddcadddddddddd fbbf dddccdddddddddd fbbf dddacdddddddddd fbbf ece fbbf ca bbbd cc bbbd ac bbbd ece bbbd ca ebbbe cc ebbbe ac ebbbe ece ebbbe ca dbbbe cc dbbb ac dbbb ece dbbb ca dbbb cc fbbf ac fbbf ece fbbf ca fbbf cc fbbd ac bbbd ece bbbd ca bbbd cc ebbbd ac ebbbe ece ebbbe ca ebbbe cc ebbb ac dbe ece bb ca ebe cc bb ac ebe ece bb ca ebe cc bb ac dbe ece bb ca dbe cc bb ac db ece bb ca db cc be ac ece ca cc ac ece ca cc ac ece e ca eacccg cc eacccccae ac eacccccae ece gaccccca ca gacccccg cc gccccccg ac gccccccg ece gccccccg ca gccccccg cc gccccccg ac gcccccag ece acccccag ca acccccag cc eacccccae acacccccae ecccae ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#6377daff b,#4cc96eff c,#0929c6ff d,#a2e3b4ff e,#ddf1e7ff f,#72d48dff g,#a2aee9ff ``` ```image e ebfe fbbbfe fbbbbbfe efbbbbbfe efbbbbbde dfbbbbbde dfbbbbbde dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbb edbbbb edbb gace ed cccg acca gccc eccce cccg acca ``` <!-- 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.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5c71d9ff b,#4cc96eff c,#0223c5ff d,#b8e9c6ff e,#dce6f0ff f,#83d99bff g,#9eaae8ff ``` ```image be bbbe dbbbe dbbb dbbb dbbb fbbb ae fbbb ca fbbf cc fbbf ac fbbf ece bbbf ca bbbf cc bbbd ac bbbd ece bbbd ca ebbbd cc ebbbd ac ebbbe ece dbbbe ca dbbbe cc dbbb ac dbbb ece dbbb ca fbbb cc fbbf ac fbbf ece fbbf ca fbbf cc bbbf ac bbbf ece bbbd ca bbbd cc ebbbd ac ebbbd ece ebbbe ca ebbbe cc dbbb ac dbd ece bb ca ebd cc bb ac dbe ece bb ca dbe cc bb ac dbe ece bb ca dbe cc bb ac db ece bb ca db cc bd ac ece ca cc ac ece ca cc ac ece e ca eacccg cc eacccccae ac eacccccae ece gaccccca ca gacccccg cc gccccccg ac gccccccg ece gccccccg ca gccccccg cc gccccccg ac gcccccag ece acccccag ca acccccag cc eacccccae acacccccae ecccae ``` <!-- end of image -->	[ "" ]
I'm curious to see if this image contains any intersection points. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#6088edff b,#9cb1edff c,#854cbcff d,#a281c7ff e,#d2d2f3ff f,#b0d6b1ff g,#95c797ff ``` ```image e e c cdccccde c c edccccdgggggggggggggg ee ec gfdcccccdfffffff c ec gfffffffgdccccdde c dc gffffffffffffffddccccde c dd gfffffffffffffff edccccde eb cd gfffffffffffffff ebdcccdbe d ce gfffffffffffffff edccccde c ce gfffffffffffffff edccc c gfffffffafffffff c gffffffaafffffff ec gfffffabbbffffff ec gfffffaffaffffff bc gffffafffaffffff dd gfffaffffbffffff dd gffbafffffafffff cb gffaffffffafffff ce gfafffffffafffff gafffffffffaffff gafffffffffaffff aggggggggggagggg a eb bb a ea a a eb ae a bb a a be a a ae a ea be a a a a bb b a b a a ae a eb eb a a a a be eb ea a a a a be bb a a a a be ae a ea a a b a b bb a ea a a eb a a bb a a ee a a ae a ea be a a a a bb be a a a ea aa aa aa aae aae bae bae bae bab bab ea ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#5b84eeff b,#b0c4f6ff c,#854abcff d,#a479cdff e,#dedff6ff f,#c4a8deff g,#81a0f1ff ``` ```image ccdffee dcccccccddffe effddcccccccddffe effddcccccccddfee eeffdccccccccdf eefddccc e e gae baab eagag aaega gab bab bag eag eaa ga gae bab gab eag bag aa eaae bae gab eab bag aa eag gae aae eab gab ag bag gae eaa bab gae ag bab ga eag bab eaae eag ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#5d85eeff b,#b3c6f6ff c,#854bbcff d,#a77ecfff e,#e1e2f8ff f,#cbb3e2ff g,#87a5f2ff ``` ```image e e c cdccccdf c ec efdccccde ff ec efdcccdfe c fc edccccdfe c dc fdccccdf c dd efdccccde ff cd efdcccdfe d cf fdccccdfe c ce fdccc ce a c aa ec gbbb fc ea a fc a a dd ae be dd bg a cf a a cf a ge ae g bg a a g a eg gb a ea a a bb ae a bg a a bb a a gb a ea ge a a a a gb ge ea eg a a ae a bg eg a a a a gb bb ea a a a ae bb bg a ea a a ge ae g bg a a g a eg gb a ea a a eb ae a bg a a bb a a ge a eg be a a a a gb ge e g a g ea eaa aa aae aae gae gae gab gab bab bab ba ``` <!-- end of image -->	[ "" ]
I'm examining this image closely. My goal: find any and all intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#afd8b1ff b,#def17fff c,#2bc783ff d,#d9f12fff e,#ebf7e6ff f,#62d39fff g,#94cc98ff ``` ```image a ce ce ca ca cg ff ff ff ac ac ac ec ec c c c c c c c ce ce ca ca ca cf ff ff gggfcgggggggggga eaaafcaaaaaaaaaag eaaagcaaaaaaaaaag f eaaagcaaaaaaaaaag fc eaaagcaaaaaaaaaag fc eaaaacaaaaaaaaaag gc eaaaacaaaaaaaaaag ace eaaaacaaaaaaaaaag ace eaabacaaaaaaaaaag ace eaadacaaaaaaaaaag ece eaadacaaaaaaaaaag eca eaadbcaaaaaaaaaag eca eaadbcaaaaaaaaaag eca eaadbcgaaaaaaaaag cf eaadbcgaaaaaaaaag cf eaadbcgaaaaaaaaag cf eaaddcfaaaaaaaaag cf eaaddcfaaaaaaaaag cc eaabdcfaaaaaaaaag cc eaabdfcfaaaaaaaag cc eaabdagcccfaaaaag cc gggdggggfcccfgga ac ed accce ff ed fccfe ca ed efccf ce d eccca c d accce ec d fccfe ac de efccf ff bddb eccca eeeeeeeeecaeeee bddb accca egaaaaaaaacgaaaag eddde accce eaaaaaaaaacaaaaag bddb fccfe eaaaaaaaaacaaaaag bddb efccf eaaaaaaaafcaaaaag eddde eccca eaaaaaaaacfaaaaag bddb acccaeaaaaaaaacgaaaaag eddd fcccaaaaaaacaaaaaag ddde ecccfaaaacaaaaaag bddb eaagcccfacaaaaaag eddd eaaaaagcccaaaaaag ddde eaaaaaaaaaaaaaaag bddb eaaaaaaaaaaaaaaag b eddd eaaaaaaaaaaaaaaag ebddde ddde eaaaaaaaaaaaaaaag edddde bddb eaaaaaaaaaaaaaaag bdddb eddd eaaaaaaaaaaaaaaaddddb ddde eaaaaaaaaaaaadddde bddb eaaaaaaaabddddaag edddeegaaaabddddaaaaag bddbebdddbeeeeeeee bddde ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#91e1beff b,#e5f56dff c,#2bc783ff d,#daf22bff e,#c7f0deff f,#5dd4a0ff g,#f1fab4ff ``` ```image acf acc acc acc acc ecc ecce ecce ecce ecce cce cca cca cca cca cca fcf gg fcf gdd fcf gdd fcf gddgfcf gddgacc gddgacc ddgacc ddgacc ddgacc ddgecc ddgecce ddgecce ddbecce ddbecce ddb cce bdb cca bdb cca bdb cca bdb cca bdb fca bdd fcf bdd fcf bdd fcccfe gdd efcccccae gdd eaccccccae gdd efcccccfa ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. 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,#9be4c5ff b,#e3f560ff c,#2cc783ff d,#daf22aff e,#d6f4e2ff f,#65d6a5ff g,#edf99eff ``` ```image ecce acc fcc fcf cca ecca ecce acc fcc fcf cca ecca ae ecce cccae acc cccccfa fcc afcccccfa fcf eafcccccfe cca eaccccccaeecca efcccccccce afccccc afcf gbd gbdddd egbddddddg gbddddddbge gbddddddbg ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#9ee5c6ff b,#e6f674ff c,#2bc783ff d,#daf22dff e,#d2f3e5ff f,#63d6a4ff g,#f2fab8ff ``` ```image a ce ce ca ca ca ff ff ff ac ac ac ec ec c c c c c c c ce ce ce ca ca cf ff ff ac ac ac f ec fc ec fc c ac c ac c ace g c ece d c ece dgc eca dgc eca dgc ca dgce cf dbce cf dbca cf bbca cf bbca cc bdff cc bdfcf cc gd eccca cc gd accca ac gd accce ff gd fccf ca d efccf c d eccca c d accce c d fccce ac d fccf ff bddg eccca ca gddb accca c dddg accce c bddg fccf ec gddb efccf ac dddg eccca ff bddb accce ca gddb fccce c dddg fccf c bddb ecccaec gddd accc dddg bddb b gddd bddd dddg gddddg bddb gdddb gddd bdddb bddg bdddg bddb gddddg gddd gdddb bddg bdddb gdddg ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#b85756ff b,#8b9195ff c,#dfc6c6ff d,#d8a3a2ff e,#eae4e5ff f,#b1b5b8ff g,#c87d7cff ``` ```image fbbfe bbbbbbbbc fbbfbbbbbbbbbc bbf efbbbbbbbbbfe cbb cbbbbbbbbbfe bbb cbbbbbbbbbfe ebb efbbbbbbbbbc bbb efbbbbbbbbbf bbe fbbbbbbbbbfe bbb cbbbbbbbbbfe bbc ebbbbbbbbbbe fbb efbbbbbbbbbc bbf efbbbbbbbbbf fbb fbbbbbbbbbfe bbf cbbbbbbbbbfe cbb efbbbbbbbbbc bbb efbbbbbbbbbc ebb efbbbbbbbb bbb cbbbb e e gaa gaaaac daaaaaaa a daaaag caa aaa daaaag aac caac daaaag aaa aaa daaaag caa gaa daaaag aac eaad daaaag aaa aaa caaaag caa gaa caaaag aac aag caaaaa aaa aaa caaaaa caa daae caaaaa aac aag caaaaa aaa aaa eaaaaa caa caac eaaaaae aac aaa aaaaae aaa aaa eaae caa eaad e aac aaa aaa gaa caa eaad aac aaa aaa daae caa aag aac aaa aaa daae caa aaa aac aaa aaa caac caa aaa aac gaa aaa eaad caa aaa aac gaa aaa aag caa aaa aac daae aaa aag caa aaa aac caac aaa aaa caa aaa aac eaad aaa aaa caa gaa aadaad aaaaa caaae aag cg ``` <!-- end of image -->	[ "" ]
Based on a first glance, I suspect there could be intersection regions here. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa559ff c,#dd90a1ff d,#e9ded4ff e,#c85c71ff f,#b3d6afff g,#a9c28dff ``` ```image ea caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaae caaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaac eaaa aaac gaaaaffffffffffg ffaaaefffffffffg ffaaaafffffffffg fffaaaeffffffffg fffaaaaffffffffg dddcc ffffaaaefffffffg ddddcccceeeeaaaaaaaaaaaaaaaaaaaaaaa dd ffffaaaaeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa fbbbd fffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad bbbbbb fffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccdddd fbbbbbbbb ffffffaaaaaaaeeeccccdddd bbbbbbbbbbbffffffffffffffg fbbb dbbbbbbgffffffffffffg bbbb fbbbbbbgffffffffffg gbbb gbbbbbbgffffffffg bbbb fbbbbbbbfffffffg gbbb gggbbbbbbbgggggf bbbb dbbbbbbg gbbb dbbbbbbf bbbg gbbbbbbd gbbb gbbbbbbd bbbg bbbbbbb gbbb bbbbbbb bbbg dbbbbbbg dbbb fbbbbbbf dg gbbbbbbd gbbbbbbd bbbbbbb bbbbbbb dbbbbbbg fbbbbbbf gbbbbbbd gbbbbbbd bbbbbbb dbbbbbbbf dbbbbbbbbd fbbbbbbbbf dbbbbbbbbbd fbbbbbbbbg gbbbbbbbbd dbbbbbbbbg gbbbbbbbbf dbbbbbbbbbd gbbbbbbbbg dbbbbbbd fbbb g ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa55aff c,#dd90a1ff d,#ece2daff e,#cf6079ff f,#c53d5bff g,#bec28eff ``` ```image faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaa faaaaaac caaaaaaa faaaaaaecceeeeeffffaaa caaaaaaaaaaaaaaaaaaaaa faaaaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaaaaaaa faaaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaaaaaa caaaaaaaaaaffffeeee d ddddd bgd bbbgd bbbbbg bbbbbbbg bbbbbbbbbd bbbbbbbbbbbd bbbbbbbbbbbbgd dbbbbbbbbbbbbbgd dbbbbbbbbbbbbbg ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa559ff c,#d98194ff d,#dbc8b7ff e,#cb526cff f,#eee7deff g,#babe88ff ``` ```image ea daaaf aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaae caaa aaae caaa aaae caaa aaae caaa aaae caaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaac eaaa aaac eaaa aaac eaaa aaac eaaa aaac aaaa aaac aaaa fffddd aaac ffdddcccceeeaaaaaaaaaaaaaaaaaaaaaaa ff aaaacceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf dbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf bbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeccccddfff dbbbbbbbb aaaaaaeeeccccdddff bbbbbbbbbbg gbbb dbbbbbbg bbbb gbbbbbbd gbbb gbbbbbbf bbbb bbbbbbb gbbb bbbbbbb bbbg fbbbbbbg gbbb dbbbbbbg bbbg gbbbbbbd gbbb gbbbbbbf bbbg bbbbbbb gbbb fbbbbbbb bbbg fbbbbbbg fbbb dbbbbbbd fg gbbbbbbd gbbbbbbf bbbbbbb fbbbbbbb fbbbbbbg dbbbbbbd gbbbbbbd gbbbbbbf bbbbbbb fbbbbbbbd fbbbbbbbbf dbbbbbbbbg fbbbbbbbbbf dbbbbbbbbg gbbbbbbbbd dbbbbbbbbg gbbbbbbbbd fbbbbbbbbbf gbbbbbbbbg fbbbbbbf dbbb g ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#21765fff b,#aeb9cdff c,#34149cff d,#609d8cff e,#6148b1ff f,#8e7dc8ff g,#dbdee9ff ``` ```image ggbddaaaaaadddg gbbddaaaaaaddbbg a gbbddaaaaaaddbbg bb gbbddaaaaaaddbgg a aaaaddbbg bb a gd a d a a dg a bg a bb a gd a e d e a f a bg dg gb a f bg f a e bb c a c gd c a c d c a e a e dg f a bg g gb f f e c c c c c e f f bg gb f e e c c c c c e f bg bb gb f e c bf c gfcccfb c gfecceb c gfecceb c beccebg e beccefg e bfcccfg f gfcccfg bg gfcccfb gb gfecceb f gfecceb f beccefg e beccefg ccfg ``` <!-- end of image -->	[ "" ]
It's clear from this image that there are no line intersections.	<!-- image --> ```palette Key,Color ,#fefefeff a,#62f49eff b,#8f5ed5ff c,#cbb5ebff d,#1ef075ff e,#a9f9caff f,#a984deff g,#e7e9f3ff ``` ```image g b gc b f g c b b b gc ccg b bgc f f c c cg c b b f gc f f b cg b f c b c b b b gc b b f b f cg c ggggccccccffffffbbbbbbbb cggggggccccccfffffbbbbbbbbbbbbbbbbffffffccccccgggg cccggggg ade eda ade gddg eda ade gddg eda ade eda ade gdde eda ade gddg eda ade eda ada gdde geaaddddae eda eeaddddaaeg adddaeg ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#099976ff b,#f13994ff c,#58b89aff d,#f9b5d7ff e,#b1d6b2ff f,#90c99cff g,#ec76aeff ``` ```image eeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeef bgeeeeeeeeeeeeeeeef bbbbbbbgeeeeeeeeeef eeegbbbbbbbbgeeeef eeeeeeeeegbbbbbbbbd eeeeeeeeeeeeeeegbbbbbbbgd eeeeeeeeeeeeeeeeef dgbbbbbbbgd eeeeeeeeeeeeeeeeef dgbbbbbbbgd afeeeeeeeeeeeeeeeef dgbbbbbbbgd aaafeeeeeeeeeeeeeef dgbbbbbbbgd faaaceeeeeeeeeeeef dgbbbbbbbgd eeeaaaceeeeeeeeeef dgbbbbbbbgd eeeeeaaaaeeeeeeeef dgbbbbbbbgd eeeeeeecaaaeeeeeef dgbbbbbbbgd eeeeeeeeecaaafeeef dbbbb fffffffffffcaaacfe b eaaae bd aaac bg aaac bg caaa bb faaa bb eaaae gb eaaae db aaaf db aaac b caaa bd caa bd aa bg ca bb ae bb aa gb ca db ae db aa b ca bd ae bd aa bg fa bb ae bb aa gb fa db ae db aa b fa bd ae bd aa bg ea bb af bb aa gb ea db af db aa b ea bd af bd aa bg ea bb ac bb aa gb ea feeeeeeeegbeeeee ac eeeeeeeeeebeeeee aa eeeeeeeeeebeeeee ea eeeeeeeeeebeeeee ac eeeeeeeeeebgeeee aa eeeeeeeeeebgeeee ea eeeeeeeeeebbeeee ac eeeeeeeeeebbeeee aa eeeeeeeeeegbeeee a eeeeeeeeeegbeeee aa eeeeeeeeeeebeeee eaaae eeeeeeeeeeebeeee aaac eeeeeeeeeeebeeee caaa eeeeeeeeeeeeeeee faaae eeeeeeeeeeeeeeee eaaaf eeeeeeeeeeeeeeee aaaceeeeeeeeeeeeeeee caaafeeeeeeeeeeeee caaaceeeeeeeeeee eefaaaceeeeeeeee eeeeeaaaaeeeeeee eeeeeeecaaafeeee eeeeeeeeefaaceee ffffffffffffffff ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#089975ff b,#f23a95ff c,#50b69dff d,#f680bbff e,#cbe9e2ff f,#fac4dfff g,#8acfbeff ``` ```image bddff bbbbbbbddff bbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbb ffddbbbbbbbb ffddbb ace aaace aaaaace ecaaaaaag ecaaaaaag egaaaaaage gaaaaaace gaaaaaace gcaaaaace ecaaaaacg ecaaaaaag ecaaaaaag gaaaaaace gaaaaaace ``` <!-- end of image --> The lines within area A do not intersect. Now, let's turn our attention to the next spot. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#089976ff b,#f23894ff c,#51b79eff d,#f9abd2ff e,#a3d9cbff f,#f1dfeaff g,#f572b3ff ``` ```image gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd ff e aae aaaacf aaaaaace eaaaaaace ecaaaaaaef fcaaaaaacf feaaaaaace ecaaaaaae ecaaaaaacf fcaaaaaace eaaaaaace ecaaaae ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#099976ff b,#f23995ff c,#67c0aaff d,#f89ecaff e,#b3dfd4ff f,#fbcde4ff g,#f570b2ff ``` ```image bdf bbbbbbbdf fdbbbbbbbgdf fdbbbbbbbgdf fgbbbbbbbgd fgbbbbbbbgd fgbbbbbbbgd ae fgbbbbbbbgf aaae dgbbbbbbbgf eaaac dgbbbbbbbgf aaac dgbbbbbbbgf aaac dgbbbbbbbdf caaa fdgbbbbbbbdf caaa fdbbbb eaaae b eaaae bf aaac bd aaac bg caaa bb caaa bb eaaae gb eaaae db aaac fb aaac b caaa bf caae bd aa bg ca bb ae bb aa gb ca db ae fb aa b ca bf ae bd aa bg ca bb ae bb aa gb ca db ae fb aa b ca bf ae bd aa bg ea bb ac bb aa gb ea db ac fb aa b ea bf ac bd aa bg ea bb ac bb aa gb ea db ac fb aa b ea bf ac bd aa bg ea bb ac bb aa gb ea db aae fb eaaae b eaaac bf aaaa f caaae eaaac aaac caaa eaaae eaaac aaaa caaae eaae ``` <!-- end of image -->	[ "" ]
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,#e9c945ff b,#f334b7ff c,#f8dbd0ff d,#e47fb6ff e,#d7ce77ff f,#b1d7b1ff g,#96ca95ff ``` ```image c eaaaec e aaaaaaaae cc aaac eaaaaaaaaaae caaac aaa eaaaaaaaaaac aaaaaeggggggggggggggggggggggggggggggggggggggaaaeggf ceaaaaaaaaaac aaaaaaaaffffffffffffffffffffffffffffffffffffffaaafffg ceaaaaaaaaaac aaaaaa aaafffffffffffffffffffffffffffffffffffffeaaefffg caaaaaaaaaaeaaaaaac aaafffffffffffffffffffffffffffffffffffffaaabdffg caaaaaaaaaaac eaaffffffffffffffffffffffffffffffffffffeaaabbffg caaaaac caaefffffffffffffffffffffffffffffffffffaaabbbffg c aaefffffffffffffffffffffffffffffffffffaaabbfffg aaaffffffffffffffffffffffffffffffffffaaabbbfffg aaaffffffffffffffffffffffffffffffffffaaabbdfffg aaafffffffffffffffffffffffffffffffffaaabbbffffg eaafffffffffffffffffffffffffffffffffaaabbdffffg caaffffffffffffffffffffffffffffffffeaadbbfffffg aaefffffffffffffffffffffffffffffffaaabbbfffffg aaaffffffffffffffffffffffffffffffeaaebbffffffg aaaffffffffffffffffffffffffffffffaaabbbffffffg aaafffffffffffffffffffffffffffffeaaabbfffffffg eaafffffffffffffffffffffffffffffaaabbbfffffffg eaafffffffffffffffffffffffffffffaaabbdfffffffg caaefffffffffffffffffffffffffffaaabbbffffffffg aaafffffffffffffffffffffffffffaaabbdffffffffg aaaffffffffffffffffffffffffffaaabbbfffffffffg aaaffffffffffffffffffffffffffaaabbbfffffffffg aaafffffffffffffffffffffffffeaadbbffffffffffg eaafffffffffffffffffffffffffaaabbbffffffffffg gaaefffffffffffffffffffffffeaaebbfffffffffffg faaafffffffffffffffffffffffaaabbbfffffffffffg faaaffffffffffffffffffffffeaaabbdfffffffffffg faaaffffffffffffffffffffffaaabbbffffffffffffg faaaffffffffffffffffffffffaaabbdffffffffffffg feaafffffffffffffffffffffaaabbbfffffffffffffg ffaaeffffffffffffffffffffaaabbbfffffffffffffg ffaaafffffffffffffffffffaaadbbffffffffffffffg ffaaafffffffffffffffffffaaabbbffffffffffffffg ffaaaffffffffffffffffffeaadbbdffffffffffffffg ffaaaffffffffffffffffffaaabbbfffffffffffffffg ffeaafffffffffffffffffeaaebbdfffffffffffffffg fffaaeffffffffffffffffaaabbbffffffffffffffffg fffaaefffffffffffffffeaaabbbffffffffffffffffg fffaaafffffffffffffffaaabbbfffffffffffffffffg fffaaafffffffffffffffaaabbbfffffffffffffffffg fffaaaffffffffffffffaaabbbffffffffffffffffffg fffeaaffffffffffffffaaabbbffffffffffffffffffg b fffeaaeffffffffffffaaadbbdffffffffffffffffffg bbb ffffaaeffffffffffffaaabbbfffffffffffffffffffg bbbb ffffaaafffffffffffeaaebbdfffffffffffffffffffg bbbb ffffaaafffffffffffaaabbbffffffffffffffffffffg bbbb ffffaaaffffffffffeaaebbbffffffffffffffffffffg bbbd ffffeaaffffffffffaaabbbfffffffffffffffffffffg bbbc ffffeaaeffffffffeaaabbbfffffffffffffffffffffg cbbbc fffffaaeffffffffaaabbbffffffffffffffffffffffg dbbb fffffaaaffffffffaaabbbffffffffffffffffffffffg bbbb fffffaaafffffffaaadbbdffffffffffffffffffffffg bbbb fffffaaafffffffaaabbbfffffffffffffffffffffffg bbbb fffffeaaffffffeaaebbdfffffffffffffffffffffffg bbbd fffffeaaefffffaaabbbffffffffffffffffffffffffg bbbd ffffffaaefffffaaabbbffffffffffffffffffffffffg cbbbc ffffffaaaffffeaadbbfffffffffffffffffffffffffg dbbb ffffffaaaffffaaabbbfffffffffffffffffffffffffg dbbb ffffffaaaffffaaabbffffffffffffffffffffffffffg bbbb ffffffeaafffaaabbbffffffffffffffffffffffffffg bbbb ffffffeaafffaaabbdffffffffffffffffffffffffffg bbbb fffffffaaeffaaabbfffffffffffffffffffffffffffg bbbd fffffffaaafaaabbdfffffffffffffffffffffffffffg bbbc fffffffaaafaaabbffffffffffffffffffffffffffffg cbbbc fffffffaaaeaadbbffffffffffffffffffffffffffffg dbbb fffffffaaaaaabbfffffffffffffffffffffffffffffg bbbb fffffffeaaaaabbfffffffffffffffffffffffffffffg bbbb ffffffffaaaadbdfffffffffffffffffffffffffffffg bbbb ffffffffaaaabbffffffffffffffffffffffffffffffg bbbd ffffffffaaaabdffffffffffffffffffffffffffffffg bbbd ffffffffaaabbfffffffffffffffffffffffffffffffg cbbbc ffffffffeaabbfffffffffffffffffffffffffffffffg dbbbc fffffffffbbbffffffffffffffffffffffffffffffffg dbbbbbbbbbdc fffffffffbbbffffffffffffffffffffffffffffffffg bbbbbbbbbbbbbbbbbddfffbbbfffffffffffffffffffffffffffffffffg cdbbbbbbbbbbbbbbbbbbbbbfffffffffffffffffffffffffffffffffg cdbbbbbbbbbbbbdfffffffffffffffffffffffffffffffffg fffffdbbbbffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#eac945ff b,#f333b7ff c,#f7ecc0ff d,#f674cdff e,#f0d981ff f,#ef8283ff g,#fabbe6ff ``` ```image e aaaa a eaaae a aaaa a aaaag a caaaabb a aaaaabbbg a aaaafbbg ac caaaabbb ae caaaabbbb ae eaaaabbbd aa aaaafbbd aac aaaabbbg aac caaafbbb aae caaaabbbb aaa aaaafbbbd aaa aaaabbbd aaa caaaabbbg aaa aaaabbbb aaa eaaafbbbb aaac caaaabbbb aaac aaaaabbbd aaae aaaaabbbg eaaa caaaabbbg eaaa eaaafbbb caaac eaaaabbbb aaae aaaaabbbd aaaa aaaabbbd aaaa caaafbbbg aaaac aaaabbbb aaaae aaaafbbbb aaaae aaaabbbbg eaaaa caaaabbbd eaaaa eaaafbbb caaaa eaaafbbbb aaaa aaaabbbbd eaaa aaaaabbbb eaaac aaaaabbbg caaac aaaafbbb aaae eaaafbbb aaae caaaabbbb aaaa aaaaabbbd aaaac aaaafbbbg aaaae caaaabbbg aaaae aaaafbbb eaaaa caaaabbbb caaaa aaaabbbbd caaaa aaaabbbbg aaaa eaaafbbbg eaaa aaaabbbb caaac aaaabbbbb caaac caaaabbbbd aaae aaaaabbbd eaaa aaaafbbbg eaaa caaaabbbb caaac caaaabbbb aaae eaaaabbbb aaaa aaaaebbbd aaaa aaaadbbbg aaaa aaaafbbbg aaaa caaaabbbb aaaa eaaafbbbb eaaa aaaabbbbd caaac caaaabbbb aaae aaaabbbbg aaae eaaaebbbb eaaa aaaabbbbb eaaac aaaabbbbg caaae eaaafbbbd aaae caaaabbbbg aaaa eaaaebbbd aaaac eaaaabbbb aaaac aaaaabbbb aaaae aaaafbbbd aaaae aaaabbbb eaaaa eaaafbbbg caaaa aaaabbbb caaaa caaaabbbb aaaa aaaaabbbg eaaa aaaafbbb caaac caaafbbb caaac eaaafbbb aaae caaafbbbd aaaa eaaabbbbg aaaac aaaabbbg aaaac aaaabbb aaaae caaafbbb eaaaa aaaabbbd eaaaa caaafbbbg caaaa aaaabbbg aaaacaaaabbb eaaaaaaaabb eaaaaaaafbb caaaaaaabbb aaaaaafbbg aaaaaabbb eaaaaabb caaaaabb aaaabbd aaafbbg eafbbg gbbbb dbbbb dgg bbbbd bbbbbddg bbbb bbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbd ggddbbbbbbbbbb gddbbbbb g ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#eac945ff b,#f333b8ff c,#f7edc1ff d,#f773cdff e,#f0d983ff f,#ef778aff g,#fabbe7ff ``` ```image c eaaaec e aaaaaaaae cc aaac eaaaaaaaaaae caaac aaa eaaaaaaaaaae aaaaae eaac ceaaaaaaaaaac aaaaaaaa aaa ceaaaaaaaaaac aaaaaa aaa eaae caaaaaaaaaaeaaaaaac aaa aaabd caaaaaaaaaaac eaa caaabb caaaaae caac aaabbb c aae caaabb aaa aaabbb aaa aaabbg aaa aaafbb eaa aaabbd caac eaafbb aae aaabbd aaa eaafbb aaa aaabbb aaa caaabbg eaa aaabbb caac caaabbg aae aaabbb aaa aaabbd aaa aaafbb aaa aaabbb aaa eaafbb eaac aaabbb caae eaafbbg aaa aaabbb aaa caaabbg aaa aaabbb aaa caaabbd eaa aaabbb caac aaabbb aae aaafbb aaa aaabbb aaa eaafbbg aaa aaabbb eaa eaaebbd caac aaabbb aae caaabbd aaa aaabbb aaa caaabbb aaa aaabbb eaa aaabbb d caac aaafbbg bbb aae aaabbb bbbb aaa eaafbbd bbbb aaa aaabbb bbbb aaa eaaebbd bbbd eaa aaabbb bbbg caac caaabbb gbbbg aae aaabbbg dbbb aaa aaabbb dbbb aaa aaadbbg bbbb aaa aaabbb bbbb eaa caaebbd bbbd caac aaabbb bbbd aae aaabbb gbbbg aaa eaafbb gbbb aaa aaabbb dbbb aaa aaabbg bbbb eaa eaabbb bbbb caac aaabbg bbbb aae caaabb bbbd aaa aaabbd bbbg aaa aaabb gbbbg aaacaafbb dbbb eaaaaabb dbbb caaaaabb bbbb aaaafbg bbbb aaaabb bbbd aaaabd bbbd aaabb gbbbg eaabd gbbbg bbb dbbbbbbbbddg bbb bbbbbbbbbbbbbbbbbdg bbb gdbbbbbbbbbbbbbbbbbbbbb gddbbbbbbbbbbbg gddbbb ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a8f14aff b,#b59c94ff c,#8eee11ff d,#d8cac6ff e,#dbf9b5ff f,#c4f583ff g,#f0f2e5ff ``` ```image d dbbbbbb gdbbbbbbdg gdbbbbbbdg dbbbbdg bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb gbd bb gbd bbg gbd bbg gbb bbg c bbb gc dbbd ce bbbg ec dbbd ce bbbg ec dbbd cg bbbg ec dbbd cg gbbbg fc bd c db fc bg c b fa gb c bd aa bg c b aa b c b aa b c b cf gb c gb cf db gc dd ce bd c bg fa b cg c fa cg c fa cg c fa cg c fa cg c fc ce c cccfe fc eacccccae ce efcccccafg c gfacccccfe ec eacccccae ce efcccccafg c gfacccccfe ec eacccccae ce efcccccafg c gfaccc ``` <!-- end of image -->	[ "" ]
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,#ba035bff b,#27594bff c,#e08fb6ff d,#74958aff e,#ebd3dfff f,#cb4485ff g,#afd5b0ff ``` ```image f af fa f ea aaf ac cafa aa af aa ca aa eae ae fa aa af cae af fa af ca ea aa aa ac fa eac aa eac fa ca af af ae aa ca af fa aa fa eac ac ea aa fa ac aa af aa fae cae ca eac aa ae aa ac aa aa fa fa cae af a af cae af aa aa fa aa ac ea cae fa ac af aa aa aa eae ca fa aa ae cae ac af af fa fa aa aa ea fa eae ac eac gggggggggggaagggg aa af ggggggggggggafggg ca aa ggggggggggggggggg ae fa ggggggggggggggggg af eac ggggggggggggggggg fa aa ggggggggggggggggg ea aa ggggggggggggggggg ac fae ggggggggggggggggg aa eac ggggggggggggggggg ca aa ggggggggggggggggg ae aa ggggggggggggggggg af cae ggggggggggggggggg fa eaf gggggggggggbbgggg a aa gggggggggbbbdgggg ac aa gggggggbbbdgggggg aa cae gggggbbbdgggggggg ea af gggbbbdgggggggggg ac aa gbbbggggggggggggg aa fa ebbbggggggggggggggg be ca cae gbbbggggggggggggggggg bb a af gbbb ggggggggggggggggg ebe af aa gbbb ggggggggggggggggg bb fafa gbbb ggggggggggggggggg bg eaac dbbb ggggggggggggggggg bb af dbbd ggggggggggggggggg bd dbbd ggggggggggggggggg db dbbd ggggggggggggggggg bd dbbd db bbbd bd bbbg gb bbbg bb bbbg gb ebbbg bb ebbbe ebe ebbbe bb gbbbe bg gbbb bb gbbb bg gbbb bb dbbb bd dbbd db dbbd bd dbbd dbdbbd bbd ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bd0c62ff b,#245649ff c,#df8cb4ff d,#78978fff e,#dde1e0ff f,#487267ff g,#acbfbaff ``` ```image caaa aaac caaa aaac eac gff gfbbbe gfbbbbbg gfbbbbfg gfbbbbfg gfbbbbfg gbbbbbfg dbbbbbfg edbbbbbfg edbbbbbfg edbbbbbfe edbbbbbde dbbbbbde bbbbde bbde de ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ba025bff b,#26584aff c,#e08fb6ff d,#62867cff e,#e6d4ddff f,#cb4385ff g,#9db4aeff ``` ```image f af fa f ea aaf ac cafa aa af aa ca aa eae ae fa aa af cae af fa af ca ea aa aa ac fa eac aa eac fa ca af af ae aa ca af fa aa fa eac ac a aa fa ac aa af aa fae cae ca eac aa ae aa ac af aa fa fa cae af a af cae af aa aa fa aa ac ea cae fa ac af aa aa aa eae ca fa aa ae cae ac af af fa fa aa aa ea fa eae ac eac aa aa af ac ca aa ae fa af eac fa aa ea aa ac fae aa eac ca aa ae aa af cae fa eaf dbe a aa bbbg ac aa bbbg aa cae bbbg ea af ebbbe ac aa ebbbe aa fa ebbbe be ca cae ebbbe bb a af gbbb ebe af aa gbbb bb fafa gbbb bg eaac gbbd bb af gbbd bg dbbd db dbbd bd dbbd db dbbg bd bbbg gb bbbg bb bbbg gb ebbbe bb ebbbe ebe ebbbe bb ebbbe be gbbb bb gbbb bg gbbb db gbbd bg gbbd db dbbd bd dbbd gbdbbd bbg ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a514ebff b,#a0bc4fff c,#d084f4ff d,#c0d38aff e,#e6c0f9ff f,#e3ebccff g,#bb4fefff ``` ```image f fb fb b b b bf bf bd bd dd db fb fb b b b b bf bf bd dd db db fb fb c b ae b ga b ccge bf a a bf a cc bf a a bd eg dd ce db a fb a fb a fb eg b ge b a b a bf a bf ec bd ge dd a db a db a fb ec fb g b a b a b a bf cc bf a bf a bd a dd g db cc bbbbbbbbbbbbbbbbbbbbbbbbbbbb a a a eg ce a a a eg ge ea cgaaaace ecgaaagce ecaaaage cgaaaace ecgaaagce ecaaaagc egaaaage ecgaaaace ecaaaagc egaaaage aaace ``` <!-- end of image -->	[ "" ]
Zero intersections in this image, no doubt about it.	<!-- image --> ```palette Key,Color ,#fefefeff a,#397142ff b,#b519a5ff c,#a8c1acff d,#ce67c3ff e,#6a9470ff f,#14571eff g,#e3c1dfff ``` ```image gg bbbbbbbbbbbbbbbdddggg gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg gbbbbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg dbbbb gggddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbb gggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbd gggdddbbbbbbbbbbbb bbbbg gbbbb dbbbb bbbbb bbbd bg ffffffffffffffffffffc fffffffffffffffffffff fffffffffffffffffffffe fff fffc gfff fffg cfff fff efff fff effa fff affe fff fffe fff fffc gfff fffc cfff fffg efff fff effa fff affe fff fffe fff fffc gfff fffc cfff fe fffg ffff cfff ffffffc fff ffffffe effa ffffffe fff ffffffe affa ffffffe fff ffffffe affe ffffffe fff ffffffe fffc afffffe gfff afffffe fffc afffffe cfff afffffe fffg afffffe cfff afffffe fff afffffe effa afffffa fffafffffa affffffa ffffa efa ``` <!-- end of image -->	[ "" ]
I'm optimistic that I'll find some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad5929ff b,#9ec086ff c,#d9b39eff d,#7a9332ff e,#c0815cff f,#e9e2d4ff g,#b1d7b0ff ``` ```image c caac aaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac faaaaac faaaaae faaaaae faaaaae faaaaae faaaaae faaaaae ff faaaaae eaa faaaaae aaa faaaaae aae faaaaae aac faaaaae caa faaaaae eaa faaaaae aaa faaaaae aae aaaaae faaf aaaaae caa aaaaae aaa aaaaaa aaa aaaaaa aac aaaaaa faaf aaaaaa eaa aaaaaa aaa aaaaaa aae aaaaaa aac eaaaaa caa eaaaaaaa bgggggaaaaaaggggggg bgggggggaaaeggggggg bgggggggggbgggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggbdddggg bgggggggggddddddggg bggggggbdddddddgggg bggggdddddddbgggggg bgbdddddddggggggggg dddddddbggggggggggg gdddddddgggggggggggggg bddddddbgggggggggggggggg gddddddbbgggggggggggggggggg bddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg bddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg dddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg dddddddf gddddddb fdddddddf bddddddb fdddddddf bddddddb fdddddddf bddddddg fdddddddf bddddddg fddddddd bddddddg fddddddd bddddddg fddddddb bddddddg gddddddb dddddf fdb ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad5828ff b,#9daf68ff c,#d8d4baff d,#7a9231ff e,#b9c391ff f,#edeee2ff g,#bc7750ff ``` ```image cgaaaaaaaaaaaaaae cgaaaaaaaaaaaac cgaaaaaaaaaaf cgaaaaaaaa cgaaaaag cgaagf fc cf fedde cbddddd feddddddddc cbddddddddddb feddddddddddddde cbddddddddddddbc fedddddddddddddef cbddddddddddddbc fedddddddddddddef cbddddddddddddbc fedddddddddddddef cbddddddddddddbc ddddddddddddef dddddddddbc dddddddef ddddbc ddef c ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ad5828ff b,#9eb06aff c,#d3c7a9ff d,#799231ff e,#cc997cff f,#e9e3d5ff g,#ba734bff ``` ```image c caac aaaaac caaaaac caaaaac caaaaac caaaaae caaaaae caaaaae caaaaae caaaaae caaaaae caaaaae faaaaae faaaaae faaaaae faaaaae faaaaae ff faaaaae gaa faaaaag aaa faaaaag aag faaaaag aac faaaaag caa faaaaag gaa faaaaag aaa faaaaag aae aaaaag faaf aaaaag eaa aaaaag aaa aaaaag aaa aaaaag aae aaaaag faaf gaaaag eaa gaaaaa aaa gaaaaa aag gaaaaa aac gaaaaa caa gaaaaaaa gaaaaa gaae f f cddd bddddd cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb fdddddddf cddddddb fdddddddf cddddddc fdddddddf bddddddc fdddddddf bddddddc fddddddb bddddddc fddddddb bddddddc cddddddb bddddddc cddddddb dddddc fdb ``` <!-- end of image -->	[ "" ]
I'm analyzing this image to identify any points where lines intersect. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#3e11e0ff b,#8b17acff c,#ccbaf1ff d,#b1d7b1ff e,#9f79ccff f,#97c39bff g,#694edfff ``` ```image ebb dffffffbbbbbbbfffffffffffffffffffffffffffffff fddebbbbbbbfbbbdddddddddddddddddddddddddddddd ebbbbbbbedddddbbbddddddddddddddddddddddddddddd cbbbbbbbeddddddddddbbbdddddddddddddddddddddddddddd cbb ebbbbbbbfdddddddddeaaddbbbddddddddddddddddddddddddddd bbc ebbbbbbbc fddddddddgaaadddbbedddddddddddddddddddddddddd bb ebbbbbbe fdddddddaaaaadddfbbeddddddddddddddddddddddddd cbb bbbc fddddddaaadaaddddebbfdddddddddddddddddddddddd bbe fdddddaaaddaadddddebbdddddddddddddddddddddddd bb fdddeaaadddaaddddddbbbddddddddddddddddddddddd cbb fddgaagddddaadddddddbbbdddddddddddddddddddddd bbe fdgaaedddddaaddddddddbbbddddddddddddddddddddd bb faaafddddddaafddddddddbbbdddddddddddddddddddd bb aaaddddddddaaedddddddddbbbddddddddddddddddddd ebe caaadddddddddgaeddddddddddbbbdddddddddddddddddd bb caaaddddddddddgaedddddddddddbbbddddddddddddddddd bb gaagfddddddddddgagddddddddddddbbedddddddddddddddd ebe aaac fddddddddddeagddddddddddddfbbeddddddddddddddd bb aaa fddddddddddeaadddddddddddddebbedddddddddddddd bb aaa fddddddddddfaaddddddddddddddebbfddddddddddddd ebe caaa fdddddddddddaadddddddddddddddebbddddddddddddd bb eaag fdddddddddddaaddddddddddddddddbbbdddddddddddd bb gaae fdddddddddddaadddddddddddddddddbbbddddddddddd ebe aaac fdddddddddddaaddddddddddddddddddbbbdddddddddd bb aaa fdddddddddddaadddddddddddddddddddbbbddddddddd bb aaa fdddddddddddaaddddddddddddddddddddbbbdddddddd ebe caa fdddddddddddaadddddddddddddedddddddbbbddddddd bb c fdddddddddddaaddddddddddddaagdddddddbbbdddddd bb fdddddddddddaaddddddddddddaaaedddddddbbeddddd ebb fdddddddddddaaddddddddddddaaaadddddddfbbedddd bb fdddddddddddaafddddddddddeaagaadddddddebbfddd bb fdddddddddddgaeddddddddddgaedaaadddddddebbddd ebb fdddddddddddgaeddddddddddaadddaaadddddddbbbdd bbc fdddddddddddgagddddddddddaaddddaagdddddddbbbd bb fdddddddddddeagddddddddddaaddddfaafdddddddbbb ebb fdddddddddddeagdddddddddgagdddddgaaddddddddbbb bbc caa aac aaa bbb bb aa aa aaa bbb cbb aa aa aag bbb bbc aa caa caac bbe bb aa gae eaa cbbe cbb aa aa gaa cbbcbbc aa aa aaa ebbbb aa aa aag ebbb aa eag aac ebc aa aac caa aa aa gaa aac aa aaa gac caa aag gac gae aac gae aa caa eag aa gaa cag aa aaa caa eag aag caa aac aae aa aa caac aa aa eaa aa caa aaa aa gae aaa aa aac aae aa aa caac aa aa eaa aa cag gaa aa gac aaa aac aa aag aac aa aac gaccaa caa gaeeag gaa eaeaac aaa eagaa aag cagaa aac caaaa caa aaae gaa aaa aaa aaa aag aaa ac aag aac aa cc ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3d11e1ff b,#8b15acff c,#bf9ce5ff d,#e0cff2ff e,#8f76edff f,#aa56c3ff g,#6642e6ff ``` ```image dcfbbbbbbbbc dfbbbbbbbbbbbbbc dcfbbbbbbbbbbbbbbbbbc dcfbbbbbbbbbbbbbfcdcbbbbbd dfbbbbbbbbbbbbbbfc cbbbbbd fbbbbbbbbbbbbbfcd cbbbbbd bbbbbbbbbbfcd fbbbbbd bbbbbbbfc fbbbbb bbbfcd cgae fbbbbf cd caaaad fbbbbf eaaaaad bbbbbf gaaaaaac dbbbbbf dgaaaaaaac dbbbbbc daaaaaaaaac dbbbbbc caaaaaagaaae dbbbbbc eaaaaagdeaaae cbbbbbd eaaaaag eaaae cbbbbbd gaaaaae eaaag cbbbbbd dgaaaaac caaag fbbbbbd daaaaaad caaag fbbbbf caaaaagd caaag fbbbbf eaaaaag daaaa fbbbbf gaaaaae daaaa dbbbbbf dgaaaaae daaaa dbbbbbc daaaaaac aaaa dbbbbbc caaaaaad aaaad dbbbbbc eaaaaagd aaaad cbbbbbd eaaaaag aaaad cbbbbbd aaaaae gaaac cbbbbbd aaaac gaaac fbbbbbd aaad gaaac fbbbbb agd eaaae fbbbbf g eaaae fbbbbf eaaae bbbbbf eaaae dbbbbbf caaag dbbbbbc caaag dbbbbbc caaag dbbbbbc daaaa cbbbbbd daaaa cbbbbbd daaaa cbbbbbd aaaa fbbbbbd aaaad fbbbbf aaaad fbbbbf aaaad fbbbbf gaaac dbbbbbf gaaac dbbbbbc gaaac dbbbbbc gaaae dbbbbbc eaaae cbbbbbd eaaae cbbbbbd eaaae cbbbbbd caaag fbbbbbd caaag ce fbbbbb caaag eaaad fbbbbf daaag aaaag fbbbbf daaaa daaaaae bbbbbf daaaa caaaaaac dbbbbbf daaaa eaaaaaaad dbbbbbc aaaad aaaaaaaaad dbbbbbc aaaad daaaaeaaaag dbbbbbc aaaad caaaa eaaaae cbbbbbd gaaad eaaag gaaaae cbbbbbd gaaac gaaae daaaaac cbbbbbd gaaac aaaad daaaaad fbbbbb gaaac daaaa caaaag fbbbbf eaaae caaag eaaaag fbbbbf eaaae eaaae gaaaae fbbbbf eaaae gaaac daaaaac dbbbbbf eaaag aaaad daaaaad dbbbbb caaag caaaa caaaag dbbbb caaag eaaag eaaaag dbbb ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#3d10e1ff b,#8a15acff c,#ba9ae8ff d,#decef3ff e,#886decff f,#aa55c3ff g,#603ce6ff ``` ```image cbb dbbbbbbb dfbbbbbbfdbbb cbbbbbbbc bbb d dbbbbbbbf bbb dbb dfbbbbbbfd caa bbf bbc cbbbbbbbc gaaa dbbf bb cbbbbbbf aaaaa dbbc dbb bbfd aaadaa cbbd bbc aaa aa cbbd bb daaa aa fbb dbb eaag aa fbb fbc gaac aa bbb bb aaad aad bbb dbb aaa gad bbb fbf daaa gac bbb bb caag eac bbf bb eaae eae bbf fbf gaac cag dbbc bb aaad cag dbbc bb aaa daa cbbd fbf daaa aa fbb bb eaag aa fbb bb gaae aa bbb fbf aaad aa bbb bb aaa aa bbb bb daaa aa bbb fbf daa aa e bbb bbd c aa aag bbf bb aa aaac dbbf cbf aad aaaad dbbc bbd aad caaeaa cbbd bb gac gac aaa cbbd cbf eac aa aag fbb bbd eae aa aae fbb bb cae aa daad bbb cbb cag eag eaa bbb bbd daa aad gaa bbb bb daa aa aag bbb cbb aa aa aae bbf bbd aa daa daad bbf bb aa gae caa dbbc cbb aa aa gaa dbbdbbd aa aa aaa cbbbb aa aa aae fbbb aa cag daac fbd aa aac caa aa aa gaa aad aa aaa gac daa aag gac eae aac eae aad caad eae aa eaa cag aa aaa dag cag aag daa gac aae aa aa daad aa aa eaa aa daa gaa aa eae aag aa aad aae aa aa daad aa aa caa aa cag gaa aa gac aaa aad aa aae gad aa daac gacdaa caa eaceae gaa eaeaad aaa cagaa aag cagaa aac daaag caad aaac eaa aaa aaa aaa aag aaa ac aae aad aa dc ``` <!-- end of image -->	[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#65a508ff b,#98ca94ff c,#b2d7b1ff d,#71ac22ff e,#95c57fff f,#edf4e7ff g,#86ba4cff ``` ```image gc eaaaaac faad eaaaac daaf eaaaac gaac eaa caag fa faaaf af gaac ac caag ae faad ag daaf aa eaae aa faad ga daaf ea gaac ca caag fa faaaf af gaac ac caag ae faad ag daaf aa eaae da ffffffffffffffaad ga ccccccccccccaaaf ea ac ccccccccccgaag ca faf cccccccceaadcb fa ga ccccccceaacccb af ad cccccccaaccccb ac ac cccccccagccccb fagfffffffffffffffeafff cccccceacccccb bcadcccccccccccccccaacccb ccccccaacccccb bcaacccccccccccccccagcccb ccccccagcccccb bcdacccccccccccccceaccccb ccccceaccccccb bcgaccccccccccccccdaccccb cccccaaccccccb bcgaccccccccccccccadccccb cccccagccccccb bceaccccccccccccccabccccb cccceacccccccb bccacccccccccccccgacccccb ccccaacccccccb bccabccccccccccccaacccccb ccccagcccccccb bccaeccccccccccccagcccccb ccceaccccccccb bccagccccccccccceaccccccb cccaaccccccccb bccadcccccccccccdaccccccb cccagccccccccb bccaacccccccccccadcccbccb cccebccccccccb bccdacccccccccccabccceccb ccceeebccccccb bccgaccccccccccgacccceccb ccccceeebccccb bccgaccccccccccaacccceccb ccccccceeebccb bcceaccccccccccaecccbeccb ccccccccceeebb bcccaccccccccceaccccbeccb ccccccccccceeec bcccaeccccccccaacccceeccb ccccccccccccceeec bcccagccccccccagcccceeccb bbbbbbbbbbbbbc beec bcccagcccccccbaccccceeccb beec bcccadcccccccdacccccebccb beec bcccaacccccccadcccccebccb beec bcccdacccccccaecccccecccb beec bcccgaccccccgaccccccecccb beec bcccgaccccccaacccccbecccb beec bccceaccccccagcccccbecccb beec bccccaccccceaccccccbecccb beec bccccaeccccdacccccceecccb beec bccccagccccadcccccceecccb beec bccccagccccabccccccebcccb beec bccccadcccgacccccccebcccb beec bccccaacccaacccccccebcccb beec bccccdacccagccccccceccccb beec bccccgacceacccccccceccccb beec bcccceaccdacccccccbeccccb beec bccccbaccadcccccccbeccccb beec bcccccaccabcccccccbeccccb beec bcccccaegacccccccceeccccb beec bcccccagaacccccccceeccccb beec bcccccagaeccccccccebccccb beecbcccccaaacccccccccebccccb eeebccccaaacccccccccebccccb eeebccdagcccccccccecccccb bceeebgaccccccccccecccccb cbbbeeegbbbbbbbbbbebbbbbc eeec ce eeec be eeec ee eeec ee eeeec eec ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#65a508ff b,#c0dba7ff c,#d8e8c8ff d,#73ad21ff e,#98c680ff f,#f2f7eeff g,#91be50ff ``` ```image f bd cdaa fgaaaa baaaaae cdaaaagc gaaaadb baaaaef gaagc faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae dgdc ceebf eeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeeb ceeeee ceee ce ``` <!-- end of image --> Based on this close-up, I can conclude that there's no intersection in area A. Moving on to the next area. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#65a508ff b,#b7d598ff c,#cee3bcff d,#7cb22eff e,#97c580ff f,#e7f1deff g,#95c155ff ``` ```image baag baag baag daab caad faaaf faaa baad faaa gaae aaaf aaac daac caaa daac eaag gaab daab eaae faaaf baag baad baag gaae caad aaac faaa caaa faaa eaag aaaf daab daac faaaf daac baad gaab gaab eaae aaaf baag caad baag gaag caad daac faaa caaa faaa baag cccf aaaf daab beef daac faaaf eeef daac baad eeef gaab gaae eee eaae aaac feee baag caaa feeb baag eaag ceeb caad daab ceec faaa faaaf ceec faaa baad beec aaaf gaae beef daac aaac eeef daab caaa eee gaab eaag eee eaae daab feee baag faaaf feeb baad baad ceeb caad gaab ceec faaa aaaf beec aaa caad beec aaaf gaag beef daac daac eeef gaab caaa eee gaab baag feee eaae daab feee baag faaaf feeb caad baad ceeb caad gaae ceec faaa aaac beec aaaf caaa beec aaaf eaag beef daac daab eeef gaab faaaf eee gaab baad feee eaae gaae feee baag aaac feeb caad caaa ceeb caad eaag ceec faaa daab beec aaaf faaaf beec aaaf baad beef daac gaab eeef gaab aaaf eee gaab caad feee eaae gaag feee baag daac feeb caad caaa ceeb caad baag ceec faaa daab beec aaaf faaaf beec aaaf baad eeef daac gaae eeef gaab aaac eee gaabcaaa feee eaageaag feee baagdaab ceeb caadaaaf ceeb caaaaad ceec c faaaaae beec eec aaaaac beef eeeec daaaa eeef eeeeeec daaag eeef ceeeeeec gaaab eee ceeeeeec gaaaf feee ``` <!-- end of image --> No luck this time. Area B doesn't have an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#65a509ff b,#b3d392ff c,#c8e0b7ff d,#80b434ff e,#95c583ff f,#e7f1ddff g,#9fc766ff ``` ```image dc gaaaaab faad gaaaab aaaf gaaaab gaab baa caad fa aaa af daac ac baag ag faaa ad daaf aa gaag aa faad da aaaf ga gaab ca caad fa aaa af daac ab baag ag faaa ad daaf aa baag aa faad da aaaf ba ac gaab ca faf caad fa da baa af ad aa ab ac ag ag ba ba ad aa aa aa ag ag da ca ca ga da aa ba ad ag ca ac ca fa ga aa ac aa ag ab ab ca ag ca aa ad aa ag aa ad cf ec da faf ef beec ga ga e beec ba aa fe beec ca ab ce beec fa ba be beec ac aa ee beec ab ag ee eeec ag faf eb eeec ad da ec eeec aa ad ec eeec da ac ef eeec ga ba fe eeec ba aa fe eeec ca ag ce eeec af ca be eeec ac da ee eeec ab ad ee eeec ag ac eb eeec ad ga ec eeec aa aa ef eeec da ab ef eeec ga ca fe eeec ba aa fe eeec ca ad ce eeec affaf be eeec acga ee eeec abaa ee eeec agab eb eeec aaa ec eeec aaa ef eeec dag ef eeecgaf fe eeed fe eeec ce eeec be eeec ee eeec ee eeeeb eec ``` <!-- end of image -->	[ "" ]
Time to put on my detective hat and find those intersection points! These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#316994ff b,#e7efbaff c,#729aafff d,#cddae5ff e,#f2f6e6ff f,#95c897ff g,#b1d7b1ff ``` ```image eb ebbb ebbbbb ebbe bbe ebbe ebb ebbe bbb bbe bbb bb bbe bb ebb bb bbb bb bbb bb bbe bb ebbe bb ebb bb bbb bb bbb bb bbe bb ebb ebb bbb bb ebb bbb ebbbe ebb bbe bbbb ebb ebb ebbbe ebe bbb bbbb bbe bbb ebbbb bbe bbe bbbbe bbe ebb bbbb bbe bbb ebbbe bb bbb bbbb bb bbe ebbbe bb ebb bbbb bb bbb bbbb bb bbb ebbbe bb bbe bbbb bb ebb ebb eeecaaebbbeeeeeeeeeeeeeebbee bbb ebb fgfaaaaafbbbbggggggggggggbbgfe bbb bbe fcaaagaaaagbbbbggggggggggbbgge bbe bb aaacgggcaaagbbbbgggggggggbbgge ebbe bb caaagggggggaaafgbbbbgggggggbbgge ebb bb aaaagggggggggaaaagbbbbggggggbbgge bbbebb gaaadfggggggggggcaaaggbbbbggggbbgge bbbbe aaaa fggggggggggggaaafggbbbbgbbbgge bbbe daaad fgggggggggggggaaaaggbbbbbbbgge ebb aaaa fggggggggggggggcaaagggbbbbggge bb daaag fggggggggggggggggaaacggbbbggge caaa fgggggggggggggggggaaaagggbggge eaaac fggggggggggggggggggcaaagggggge caaae fggggggggggggggggggggaaacgggge ac fgggggggggggggggggggggaaaaggge e fggggggggggggggggggggggcaaagge fggggggggggggggggggggggggaaace fgggggggggggggggggggggggggaaaa gffffffffffffffffffffffffffcaaae aaag caaa daaae aaac caaa daaae aaac caaa daaae aaac caaa daaad aaac caaa daaad aaac caaa daaad aaac caaa daaad aaac caaa eaaad aaac caaa eaaa a ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f6794ff b,#e8f0baff c,#9eb8ccff d,#c8d7e2ff e,#f0f5e6ff f,#6c93b3ff g,#4879a0ff ``` ```image caaaaaaafebbbbbbbbe bbbbe efaaaaaaaaagdebbbbbbbe bbbbe caaaaaagaaaaaac ebbbbbbbe bbbbe efaaaaaaf daaaaaafeebbbbbbbb bbbb dgaaaaagd egaaaaagd ebbbbbbbe bbbb aaaaaafe caaaaaac bbbbbbbb bbbb aaaaac dgaaaaafe ebbbbbbbe ebbbb aaafe efaaaaagd bbbbbbbbe ebbbb aac caaaaaac ebbbbbbbe ebbbb gd dgaaaaafe ebbbbbbbe ebbbb efaaaaagd ebbbbbbbb ebbbb caaaaaac ebbbbbbbe ebbbb dgaaaaafe bbbbbbbbe ebbbb efaaaaagd ebbbbbbbe ebbbb caaaaaac ebbbbbbbe ebbbe dgaaaaage ebbbbbbbbbbbbe efaaaaaad ebbbbbbbbbbe caaaaaaf bbbbbbbbbe dgaaaaage ebbbbbbbe efaaaaaad bbbbbbe caaaaaaf ebbbb dgaaaaage eee efaaaaaac caaaaaaf dgaaaaagd efaaaaaac caaaaaaf dgaaaaagd faaaaaac caaaaaaf dgaaaaagd faaaaaac caaaaaa dgaaaa ``` <!-- end of image --> No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.	<!-- image --> ```palette Key,Color ,#fefefeff a,#306894ff b,#e8f0b9ff c,#8eacc5ff d,#c6d5e1ff e,#f0f5d3ff f,#5c88abff g,#f3f6edff ``` ```image eb ebbb ebbbbb ebbg bbe ebbg gbb ebbe ebb bbe bbb bb bbe bb gbb bb ebb bb bbb bb bbe bb gbbg bb ebb bb bbb bb bbe bb gbbg gbb ebb gbb bbb bb gbb bbe ebbbg ebe bbg bbbb ebe ebb ebbbe ebe bbb bbbb ebe bbb gbbbe bbg bbg ebbbg bbg gbb bbbb bbg bbb ebbbg bb bbb bbbb bb bbe gbbbe bb gbb bbbb bb ebb gbbbb bb bbb ebbbg bb bbe bbbb bb gbb gbb faaebbbe bb ebb ebe gaaaaadbbbb bb bbb bbg faaagaaafgbbbe bb bbe bb gaaaf caaa ebbbg gbb gbbg bb caaag gaaad bbbb gbb ebb bb aaaf aaaf ebbbg gbb bbbgbb caaad caaa bbbb ebe bbbbe aaaa gaaad gbbbe ebe gbbbg daaad aaaf bbbbebe ebb faaa caaa gbbbbe bb daaac gaaad ebbg faaa aaaf e gaaac caaa caaag gaaad af faaf g caaag gaaac faaf daaag aaac faaa daaag aaac faaa daaag aaac faaa daaag aaac faaa daaag aaac faaa daaad aaac caaa daaad aaaf caaa gaaad aaaf caaa gaaad aaaf caaa gaaa a ``` <!-- end of image -->	[ "" ]
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,#b7a76eff b,#e2d8c2ff c,#bd7d52ff d,#b2d7b1ff e,#cabb94ff f,#f2f4edff g,#a3cd9fff ``` ```image eae aaaae aaaaaaaf aa faaaaab aa eaaaae faa baaaaaf baa baaaaab baa faaaaab eae eaaaae fbe aab baaaaaf baa aab faaaaab faa aaf eaaaae aa aa eaaaa aa aa baae aaf aa faaf aab faa aaa aae baa aae eae baa baa baa eae aaa faa aab aab aa aab eaa aa aaf aaa aaf aa faaf aab aa eaa aae aa aae eae faa baaf baa baa aaa faa baa aab aa eae baa aa aab aaa aaf aab faab aab aaf eaa aae aa aae eae aa faaf baa aa aaa faa faa aae aa baa baa aa baa aaa aaf eae aab aab aab eaa aae aab aaa eae aaf faaf baa aa eaa faa aa aae aa aa baaf aa faa aaa aaf baa aab aab baa baa aae eae faaafffffffffffffffffff eae aab ggaaggggggggggggggggggg baa aab gdaaadddddddddddddddddd faa aaf gddaaaddddddddddddddddd aa aa gddgaaddddddddddddddddd aa aa gdddaaadddddddddddddddd fffffaafaaffffff gddddaaeddddddddddddddd fgggggaagaagggggg gddddgaaddddddddddddddd fgddddaaaaadddddg gdddddaaadddddddddddddd fgddddeaaaadddddg gddddddaagddddddddddddd fgddddgaaaadddddg gddddddeaaddddddddddddd fgdddddaaaedddddg gdddddddaaadddddddddddd fgdddddaaagdddddg gddddddddaagddddddddddd fgdddddaaaddddddg ffffbbbbbbeeeeeeaaaaccccccccccccccccccccccccccdaaaddddddddddd fgdddddaaaddddddg bcccccccccccccccccccccccccccccccccccccccccccccccccdaaadddddddddd fgdddddaaaddddddg fcccccccccccccccccaaaaeeeeeebbbbbbffff gdddddgccggaadddddddddd fgdddddaaaddddddg cccce gddddddaccdaaaddddddddd fgdddddaaaddddddacccc gdddddddcccdaaedddddddd fgdddddaaaddddeccccf gdddddddgccgeaadddddddd fgddddddaeddgccccb gddddddddcccdaaaddddddd fgdddddddddccccag gdddddddddcccdaagdddddd fgdddddddcccccddg gdddddddddgccgaaadddddd fgdddddaccccddddg gddddddddddcccdaaaddddd fgdddeccccgdddddg gdddddddddddccagaaddddd fgggccccagggggggg gdddddddddddgccgaaadddd fcccceffffffffff gddddddddddddcccdaaeddd ecccc gdddddddddddddccagaaddd fccf gdddddddddddddgccgedddd b gddddddddddddddcccddddd gdddddddddddddddccadddd gggggggggggggggggccgggg fffffffffffffffffcccfff cf ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b7a76dff b,#e6dac8ff c,#bd7c51ff d,#d9c9adff e,#ccb48eff f,#f2ece3ff g,#c89471ff ``` ```image faaaafaaaab faaaadaaaab aaaaeaaaaf aaaaaaaaaf eaaaaaaaa daaaaaaaa daaaaaaae baaaaaaae faaaaaaad faaaaaaad aaaaaaab aaaaaaab eaaaaaaf daaaaaaf daaaaaa baaaaaa faaaaae faaaaae aaaaad aaaaad eaaaab eaaaab f eaaaaf ec eaaaaf dccc baaaa bgcccc aaad fgcccccc bb fecccccccc dcccccccce bgcccccccef bgcccccccgb fecccccccgb eccccccccd dccccccccef bgcccccccgf fgcccccccgb feccccccccd ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Alright, let's examine the next area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#b7a76dff b,#e3dac5ff c,#bd7c51ff d,#d7c3a6ff e,#c9b189ff f,#f1ebe2ff g,#c99472ff ``` ```image faaaaa daaaad aaaaaf baaaae eaaaad faaaaaf baaaae eaaaab faaaaaf daaaad eaaaab baaaaa daaaad faaaaaf baaaae eaaaab faaaaaf daaaae eaaaab faaaaa daaaad aaaaaf baaaae eaaaad faaaaaf eeeeeeegggggggd baaaae cccccccccccccccd eaaaab ccccccccccccccccb faaaaaf ccccccccccccccccg daaaad gggggggeeeeegccccd eaaaab fcccccf baaaae dccccg daaaad gccccd faaaaaf fcccccf baaaae dccccg eaaaab gccccd faaaaaf fcccccf daaaae dccccg eaaaab gccccd faaaaa fcccccf daaaad dccccg aaaaaf gccccd baaaae fcccccf eaaaad dccccg faaaaaf gccccd baaaae fcccccf eaaaab dccccg faaaaaf gccccd daaaad fcccccf eaaaab dccccg baaaae gccccd daaaad bcccccffaaaaaf dccccg baaaab gccccd eaef bcccccffb eccccg gccccb bcccccf ecccce gccccb ``` <!-- end of image --> I don't observe any intersections inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#b7a76dff b,#e7ddccff c,#bd7c51ff d,#d7caacff e,#c8b58bff f,#f5f0e9ff g,#c7926eff ``` ```image ead aaaae aaaaaaaf aa faaaaab aa eaaaae faa daaaaaf baa baaaaab daa faaaaad eae daaaae fde aad baaaaaf baa aab faaaaab faa aaf eaaaad aa aa daaaa aa aa baae aaf aa faaf aab faa eaa ead baa aad dae daa baa baa eae aaa faa aad aab aa aab daa aa aaf aae aaf aa faaf aab aa eaa ead aa aae dae faa baaf baa baa aaa faa daa aad aa eae daa aa aad aaa aaf aab aab aab aaf eaa ead aa aae dae aa faaf baa aa eaa faa faa aad aa baa baa aa daa aaa aaf eae aab aab aad daa ead aab aae dae aaf faaf baa aa eaa faa aa aae aa aa baa aa faa aaa aaf baa aad aab daa daa ead eae aaa dae aad faab baa aab eaa faa aaf aae aa aa faaf aa aa eaa aafaa aad aadaa baa aaaaa aaa daaaa aab baaae daa faaad aae aaab faaf aaaf fffbbbbbddddeeeegggggccccccccccccccccccccccccc eaa aaa bccccccccccccccccccccccccccccccccccccccccccccccccg aae aaa fccccccccccccccccgggggeeeeddddbbbbbfff fccbbaa aaa gccce gcc aaa eaa ecccg ccg aad eaa dccccf fccbdaa ad fccccb gcc aaa ccccd ccgfaab gcccg fccfeaa ecccc gcc aae bccccf ccgfaaf fccccd bccfaaa gccce gcc aad ecccg ccgbaa fccf bccfd b gcc cce bccf gcc cf ``` <!-- end of image -->	[ "" ]
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fac0beff c,#78a6b7ff d,#eef0eeff e,#b0d7b0ff f,#adc8d6ff g,#96c997ff ``` ```image b bbbd bbbbb bbbbb dbbbbd bbbbb dbbbbd bbbbb bbbbb dbbbbd bbbbb dbbbbd bbbbb egggggbbbbbggggg geeeeeeebbbbbeeed geeeeeeeebbbbbeed geeeeeeeeeebbbbed dbbbbb geeeeeeeeeeebbbbb dbbbbbbbbbbb geeeeeeeeeeeebbbbb dbbbbbbbbbbbbbbbbb geeeeeeeeeeeeeebbbbb ddbbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeebbbbb egggggggebbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeeddbbbbd geebbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeed bbbbb dbbbbbbbbbbbbbbbbbeed geeeeeecaeeeeeeed bbbbbddbbbbbbbbbbbbbbbbbeeeeeeeed geeeeeeaaceeeeeed bbbbbbbbbbbbbbbbeeeeeeeeeeeeeed geeeeeaaaceeeeeed bbbbbbbbbd geeeeeeeeeeeeeeed geeeeeaaaaeeeeeed dbd geeeeeeeeeeeeeeed geeeecaaaaeeeeeed geeeeeeeeeeeeeeed geeeeaaaaaeeeeeed geeeeeeeeeeeeeeed geeeeaaaaaeeeeeed gegaaageeeeeeeeed geeecaaaaaeeeeeed gecaaaaaceeeeeeed geeeaaaaaaeeeeeed gecaaaaaaaageeeed geeeaaaaaaeeeeeed gecaaeaaaaaaaceed geeaaaeaaaeeeeeed gecaaeeecaaaaaaaf geeaaaeaaaeeeeeed gecaaeeeeeeaaaaaaac gecaaceaaaeeeeeed gecaaeeeeeeeecaaaaaaad geaaaeeaaaeeeeeed gecaaeeeeeeeeeegcaaaaaac geaaaeeaaaeeeeegd geaaaeeeeeeeeeeed faaaaaaad caafddaaadddddd geaaaeeeeeeeeeeed dcaaaaaaf aaa caa geaaaeeeeeeeeeeed faaaaaaad daac caa geaaaeeeeeeeeeeed dcaaaaaaf aaa caa geaaaeeeeeeeeeeed faaaaaaad aaa faa geaaaeeeeeeeeeeed daaaaaa faaf faad geaaaeeeeeeeeeeed faaa aaa faad geaaaeeeeeeeeeegd df daaa faad daaaddddddddddd caad faaf aaa aaa daaf aaa faac daaf aaa aaa aaf aaa aaa aac aaa caaf aac aaa aaa aac aaa daaa aaa aaa aaad aaa aaa aaa aaa aaa faaf aaa aaa aaa aaa aaa aaa aaa aaa caaf aaa aaa aaa aaa aaa daac aaa aaa aaad aaa aaa aaa aaa aaa faaf aaa aaa aaa caa aaa daa caa aaa caa aaa faad aaa faad aaa faad aac faaf aac daaf aac daaafd aac daaaaaaacf aac caaaaaaaaaaacf aac dcaaaaaaaaaaaacd aac fcaaaaaaaaaaaafd aac fcaaaaaaaaaaaafdaaf dfaaaaaaaaaaaaf dcaaaaaaaf fcaa ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fbbfbdff c,#8fb4c8ff d,#d8e5ebff e,#fcdddcff f,#b5cddaff g,#6c9cb7ff ``` ```image ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbb ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbb bbbbbbbb ebbbbbb ebbbbb ebbb ebb b caaf caaaad daaaaac faaaaac gaaaaag daaaaaag caaaaaag aaaaaaag faaaaaaag gaaaaaaaa daaaaaaaaa caaaaaaaaa gaaaaaaaaa daaaaaaaaaa caaaaaaaaaad aaaaaaaaaaad faaaaaaaaaaad gaaaaacaaaaad daaaaagfaaaaad caaaaaffaaaaad aaaaaa daaaaaf faaaaac daaaaaf caaaaaf daaaaaf aaaaaa daaaaaf faaaaac daaaaaf gaaaaad aaaaac daaaaag aaaaac caaaaaf aaaaac ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Now, let's scrutinize the next spot. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fabfbdff c,#88afc4ff d,#d9e6ecff e,#fcdcdbff f,#acc7d6ff g,#699bb5ff ``` ```image eeebbbbbbb eeebbbbbbbbbbbbb eeebbbbbbbbbbbbbbbbbbb eeebbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbeee bbbbbbbbbbbbbbbbbbbeee bbbbbbbbbbbbbeee bbbbbbbeee beee faagfd daaaaaacd faaaaaaaagfd faaaaaaaaaaacd caaaaaaaaaaaaagfd caaaaaaaaaaaaaaaacd caaaaaaaaaaaaaaaaaagf caaaaa fgaaaaaaaaaaaaacd caaaaa dcaaaaaaaaaaaaagf caaaaa fgaaaaaaaaaaaaa caaaaa dcaaaaaaaaaaa caaaaa fgaaaaaaaa caaaaa dcaaaaaa caaaaa fgaaa caaaag dca caaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaac gaaaac aaaaac aaaaac aaaaac aaaaac ``` <!-- end of image --> The lines within area B do not intersect. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.	<!-- image --> ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fbc0beff c,#8cb2c6ff d,#d8e4ebff e,#fce0dfff f,#b0cad8ff g,#6b9cb6ff ``` ```image b ebb bbbbb bbbbb ebbbbe bbbbb ebbbbe bbbbb bbbbb ebbbbe bbbbb ebbbbe bbbbb bbbbb ebbbbe bbbbb ebbbbe eebbbb bbbbb eebbbbbbbbbb bbbbb eebbbbbbbbbbbbbbbe bbbbe ebbbbbbbbbbbbbbbee bbbbb ebbbbbbbbbbbbbbbbe ebbbbe ebbbbbbbbbbbbbbbbe bbbbb ebbbbbbbbbbbbbbbbe ca ebbbb ebbbbbbbbbbbbbbbbe daac bbbbbbbbbbbbbbbee gaac bbbbbbbbee aaag eee faaag aaaaa aaaaa daaad caaaaa caaaaac aaaaaa caaaaaaaad daagaaa caa gaaaaaac aaa aaa caa faaaaaaad aaa aaa caa gaaaaaac faac aaa caa faaaaaaad aaa aaa gaa gaaaaaac aaa aaa gaa faaaaaaad gaad gaa gaa gaaaaaac aaa gaa gaa faaaaaaad daag gaa gaa gaaaaaac aaa caa gaa faaaaaaad aaa caa aaa gaaaaa caaf faad aaa faaa aaa faad aaa df aaa faad aaa gaad daaf aaa aaa daaf aaa faac daaf aaa aaa aac aaa aaa aac aaa caaf aag aaa aaa aag aaa daag aag aaa gaad aaa aaa aaa aaa aaa faac aaa aaa aaa aaa aaa aaa aaa aaa caad aaa aaa aaa aaa aaa daag aaa aaa aaa aaa aaa aaa aaa aaa faaf gaa aaa aaa gaa aaa daa caa aaa caa aaa caa aaa faad aag faad aag faad aag daaf aag daaaf aag aaaaaaagf aac gaaaaaaaaaaagd aac dcaaaaaaaaaaaacd aac fgaaaaaaaaaaaacd aac fgaaaaaaaaaaagf aac dfaaaaaaaaaaaac dcaaaaaaaf dcaa ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#c89847ff b,#b7ede5ff c,#e8d4b2ff d,#bc811eff e,#d7b479ff f,#83e1d3ff g,#edf1e8ff ``` ```image g d d d d a de a ced ge d a cc ag ge cc ga d eg d eg a ac a a gd d d d ec d ec d d d d d d cc d ce d a d d a dg ge ge ca d dc d a cd ag ga ae ga d gdg d eg aa ec d dc d d ed d cc de ce d cdg d d aa dg ce gdc ca d ed d a de ag ge cd ga d aa d eg gdg ec a ed d d dc d ec cd ee d de d d gdg d cc aa ce d dc d d ed ag gde ga d ac gd b d fffg f bfb gb gff f ffg gb bfb f gff bb ffg f bfb bg gff f ffg fg bfb f gff f ffb f bfb f gff f bfb f bfb gb gffg f bfb bb bfb f ffg bb bfb f bff bg ffg f bfb fg gff f ff f f f ``` <!-- end of image -->	[ "" ]
I can confidently say that no lines intersect in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#a203dfff b,#cde74dff c,#cf7feeff d,#eef6c3ff e,#e9c5f7ff f,#b538e5ff g,#ddee87ff ``` ```image g gbbd bbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg dbbbbbd dbbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg dbbbbbd gbbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg eae dbbbbbd aaa gbbbbbd aaaa gbbbbb aaaaf bbbbbb aaaaae bbbbbb aafaaa bbbbbg aacfaaa dbbbbbg eaae aaac dbbbbbd eaae aaa gbbbbbd caa caaa gbbbbb faa aaaf bbbbbb faa aaae bbbbbg aaa eaaa bbbbbg aaa faaa dbbbbbg dddgggbbbbbbbb aaa aaac dbbbbbbbbbbbbbbbbbbb aaa aaa gbbbbbbbbbbbbbbbgg aaf eaaa dddd aaf faaf aac aaae eaac aaa eaae caaa caa aaaf caa aaae faa eaaa aaa faaa aaa aaac aaa aaa aaa caaa aaa aaaf aaf aaae aac eaaa aac faaa eaae aaac caa aaa caa caaa faa faaf aaa aaae aaa eaaa aaa caaa aaa aaac aaa aaa caf aaf eaaa eaaaa af aac faaf faaaac aaa aac aaae caaaaf eaaa eaae aaa aaaaae faac caae caaa faaaac aaa caa aaaf eaaaaa eaaa faa aaae aaaaae aaacfaa eaaa caaaaf aaaaaa faaa eaaaaa caaaaa aaac faaaac aaaaa aaa caaaaf aaaa caaf aaaaae caaf aaae faaaac aae eaaa eaaaaa faac aaaaae aaacaaaaf caaaaaa aaaac af ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6fe887ff b,#200f30ff c,#a0efafff d,#81788aff e,#b0aab6ff f,#d1efd7ff g,#493b56ff ``` ```image faaa faaaaaa caaaaaaaaa caaaaaaac faa caaaaaaaf faa caaaaaaaf faa aaaaaaf faa aaaf aa aa aa caa aa aaa aa aac aa aa aa caa aa aaa aa aac aa aa aa faa aa aaa aa aac aa aaf aaf faa aaf aaa aaf aac aaf aaf aaf faa aaf aaa aaf aac aaf aaf aaf faa aaf caa aaf aaa aac aaf aac faa aac caa aac aaa aac aaf aac faa aac caa aac aaa aac aaf aac aa aac caa aac aaa aaa aac aaa aa aaa caa aaa aaa aaa aac aaa caa aaa aaaa aaa aaaa aaa aaaa aaa aaaa aaa aaac aaa aaac caa aaac caa aaac caa aaac fffccccaaaaaaaaaaaaaaaf ffcccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf caaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaccccffff caaaaaaaaccccffff fdd fdgbbbbbb fdgbbbbbbbbbbbb fdgbbbbbbbbbbbbgdf fffeeeeedddddgggggbbbbbbbbbbbbbbbbbbbbbbbbbgdf dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgdf dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggggddddddef dbbbgggggdddddeeeeefff ``` <!-- end of image -->	[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#6eb03fff b,#3f8d0aff c,#b2d7afff d,#ecf4e8ff e,#9eca8dff f,#88bb65ff g,#d3e6c5ff ``` ```image dbbd bbbbd bbbbbd fbbabbbd bbb fbbbd gbbf fbbbd bbb fbbbd bbb fbbbd abbd fbbbd bbb fbbbd ebbe fbbbd bbb fbbb dbba abb bbb dbba bbb bbb fbbg cbbe bbb bbb gbbf abbd bbb bbb bbb bbb abbd gbbf bbb bbb cbbe fbbg bbb bbb dbba bbbe abb dbbbbbc bbb fbbbbbbad ebbc gbbbbbbbf bbb ebbbbbbbe gbbf fbbbbbbbg bbb dabbbbbbad bbb gbbbbbbbf abbd ebbbbbbbe bbb fbbbbbbbg cbbe dabbbbbbad bbb cbbbbbbbf dbba ebbbbbbbc abbd d abbbbbbbg bbb daae gbbbbbbba ebbc daaaac cbbbbbb bbb daaaaaag fbbb gbbf aaaegaaag dg bbb aaaf gaaad bbb aaaf caaad fbbg aaaf eaaa bbb aaaa eaaa cbbe aaaa faaa bbb aaaa faaa bba faaa aaaa abbd faaa aaaa bbb eaaa aaaf ebbc eaaa aaaf bbb caaad aaaf dbba gaaad aaae bbb gaaad aaac bbb daaag daaac eeabbfeeeeee daaag daaag ccbbbcccccccd daaac gaaad cccefcccccccd aaae gaaad ccccccccccccd aaae caaad ccccccccccccd aaaf eaaa ccccccccccccd aaaf faaa ccccecccccccd aaaa faaa ccaaacccccccd aaaa faaa ccfaacccccccd aaaa aaaa cceaaeccccccd faaa aaaa cccaaaccccccd faaa aaaf cccaaaccccccd faaa aaaf cccfaaccccccd eaaa aaaf ccccaafcccccd caaad aaae ccccaaacccccd caaad daaac ccccaaacccccd aaaad daaag cccceaaeccccd gaaaag daaag cccccaaaccccd faaaa gaaad eeeeeaaaeeeegaaaac caf eaa faaaa g daacdaaaae aaaaaaad aaaaaf caaag af ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#6eb03fff b,#3f8d0aff c,#b8d8a3ff d,#ecf4e7ff e,#a4cc87ff f,#89be65ff g,#d4e7c7ff ``` ```image gbbbbbf fbbbbbg dbbbbba ebbbbbc cabbb gfe dg gcfaa gaaaaag aaaaae faaaaf caaaaad daaaaac aaaaae eaaaaa gaaaaag daaaaac faaaaf caaaaad gaaaaag aaaaae eaaaaa caaaaad daaaaac faaaaf eaaaaa gaaaaag aaaaae faaaaf ``` <!-- end of image --> No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 My final answer is: no intersections found.	<!-- image --> ```palette Key,Color ,#fefefeff a,#6db03fff b,#3f8d0aff c,#b7d6a2ff d,#e9f2e2ff e,#9cc77fff f,#83b95eff g,#d0e4c1ff ``` ```image dbbd bbbbd bbbbbd fbbabbbd bbb fbbbd gbbe fbbbd bbb fbbbd bbb fbbbd abbd fbbbd bbb fbbbd cbbc fbbbd bbb ebbb dbba abb bbb dbba bbb bbb ebbg cbbe bbb bbb gbbf abbd bbb bbb bbb bbb abbd gbbf bbb bbb cbbe ebbg bbb bbb dbba bbbe abb dbbbbbc bbb fbbbbbbad ebbg gbbbbbbbf bbb cbbbbbbbe gbbf fbbbbbbbg bbb dabbbbbbad bbb gbbbbbbbf fbbd ebbbbbbbc bbb fbbbbbbbg cbbe dabbbbbbad bbb cbbbbbbbe dbba ebbbbbbbc abb d fbbbbbbbg bbb daac dbbbbbbba ebbc daaaac cbbbbbb bbb aaaaaag ebbb dbbf aaaegaaad g bbb aaae gaaad bbb aaaf caaad fbbd aaaf eaaa bbb aaaa eaaa cbbe aaaa faaa bbb faaa faaa bba faaa aaaa abbd faaa aaaa bbb eaaa aaaf ebbc eaaa aaaf bbb caaad aaae dbbf gaaad aaae bbb gaaad aaac bbb daaag daaag fbbg daaag daaag bbb daaac gaaad ge aaae gaaad aaae caaa aaaf eaaa aaaf eaaa g aaaf faaa aaa aaaa faaa eaa aaaa aaaa daac faaa aaaa aaa faaa aaaf aaa eaaa aaaf caad eaaa aaae aae caaa aaae aaa caaad aaac faa aaaad daaag gaag gaaaad daaag aaf faaaa gaaad aaa daaaac gaf eaa eaaaa g daac aaaae aaaaaaad aaaaaf gaaag af ``` <!-- end of image -->	[ "" ]
This image seems promising for intersection detection. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#0ec88eff b,#f035fbff c,#acd6b0ff d,#fac1fdff e,#f481fbff f,#5cd8afff g,#e5f6eeff ``` ```image be dbe ebd bb bb bb bb bb dbe ebd bb edd bb ebbbbbbbbedd bb ebeebbbbbbbbbbbbbeed bb eb debbbbbbbbbbbbbeed bb bb debbbbbbbbbbbbbeed dbe bb debbbbbbbbbbbbbeed ebd bb debbbbbbbbbbbbbbed bb bb deebbbbbbbbbbbbbed bb bb deebbbbbbbbbb bb bb deebbd bb bb bb bb cccbbccccccc bb dbe cccbbcccccccg ebd ebd cccbbcccccccg bb bb cccbbcccccccg bb bb cccbecccccccg ebd bb cccaacccccccg bb bb cccaacccccccg bb bb cccaacccccccg ebe dbe cccaacccccccg bb ebd cccaacccccccg bb bb cccaacccccccg ebe bb cccaacccccccg gg bb bb cccaacccccccg gaaa bb bb cccaacccccccg aaaaac dbe bb cccaacccccccg faa faaa bb dbe cccaacccccccg gaa aaaf bb ebd cccaacccccccg aag caaag dbe eb gggaaggggggg aaf faaa bb bb aa faa gaaac bb bb aa gaa faaag dbe bb aa aac aaaf bb bb aa faa gaaag bb dbe aa gaa faaa dbbebd aa aag gaaaf bbeb aa aaf caaag bbbb aa caa aaaf dbbb aa gaa gaaac cccccccccbbbcccc aa aac faaa gcccccccccbbbcccc aa faa aaafccccccccccbecccc aa gaa caaaccccccccccccccc aa aag aaaaccccccccccccc aa aaf gcaaafccccccccccc fa caa gccfaaacccccccccc fa aa gccccaaafcccccccc fag aac gcccccfaaaccccccc fag faa gcccccccaaaaccccc fag gaa gcccccccccaaafccc fag aag gccccccccccfaaacc fag aaf gccccccccccccaaaa cac caa gcccccccccccccfaaag cac aa gcccccccccccccccaaaa cac aac gccccccccccccccccgag cac faa gcccccccccccccccc cac gaa ggggggggggggggg gaf aag gaf aaf gaf caa gaf aa gaf aac af faa af gaa aa aag aa aaf aacaa aaaa aaac aaa aa g ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0cc88dff b,#f134fcff c,#68dcb8ff d,#c055e4ff e,#f169faff f,#33d09fff g,#cbf2e6ff ``` ```image ebbb ebbb ebbb ebbb ebbb bbbb bbbb bbbe bbbe dddd aaaf aaaf aaaf aaaf aaaf faaf faaa faaa faaa faaa faaa faaa faaa caaa caaa caaag caaag caaag caaag caaag caaag caaag caaag caaag ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Right then, let's explore the next spot. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0cc88dff b,#f138fcff c,#a2e9d3ff d,#f8a1fdff e,#71debcff f,#37d1a1ff g,#d3f4eaff ``` ```image bbbbbbd dbbbbb bbbbb bbbbb dbbbb e bbbd afc dbb aaafg aaaaac faaaaafg eaaaaaae gfaaaaaac caaaaaafg eaaaaaae gfaaaaafg eaaaaaae gfaaaaaac caaaaaafg eaaaaaae gfaaaaafc caaaaaaeg gfaaaaaac cfaaaaafg eaaaaaae gfaaaaaf caaaaa geaaa cfa e ``` <!-- end of image --> There is no intersection present within area B. Answer: A: 0; B: 0; 0 + 0 = 0 My analysis shows there's absolutely no intersections in the image	<!-- image --> ```palette Key,Color ,#fefefeff a,#0cc88dff b,#f035fbff c,#8de4c9ff d,#fac0fdff e,#f47ffcff f,#46d5a8ff g,#ccf3e7ff ``` ```image be dbe ebd bb bb bb bb bb dbe ebd bb edd bb ebbbbbbbbedd bb ebeebbbbbbbbbbbbbeed bb eb debbbbbbbbbbbbbeed bb bb debbbbbbbbbbbbbeed dbe bb debbbbbbbbbbbbbeed ebd bb debbbbbbbbbbbbbbed bb bb deebbbbbbbbbbbbbed bb bb deebbbbbbbbbb bb bb deebbd bb bb bb bb bb bb dbe bb ebd ebd bb bb bb bb bb bb be ebd bb af bb bb af bb bb aa ebe dbe aa bb ebd aa bb bb aa dbe bb aa gg bb bb aa aaf bb bb aa aaaaac dbe bb aa faf caaa bb dbe aa gaa aaaf bb ebd aa aa gaaag dbe eb aa aac faaa bb bb aa caa gaaac bb bb aa aa caaa dbe bb aa aag aaaf bb bb aa faf gaaag bb dbe aa gaa faaa dbeebd aa aag aaac bbeb aa aac caaa bbbb aa caa aaaf dbbb aa aa gaaag bbb aa aag faaa ebb aa faf aaac be aa gaa caaag aa aag faaf fa aaf gaaac fa caa faaa fa aa aaaf fa aac caaag fag faf faaf fag gaa gaaac cag aag caaa cag aaf aaaf cag caa gaaag cac aa faaa cac aac ag cac faa gac gaa gac aag gac aaf gaf caa gaf aa af aac af faa af gaa af aag aa aaf aacaa aaaa aaac aaa aa g ``` <!-- end of image -->	[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#cfa0faff b,#b05bd0ff c,#e0c2f9ff d,#c28dd8ff e,#f0eaf7ff f,#b0d6b1ff g,#96c996ff ``` ```image e ae cc a a a cc ea a a cc ea a a ae ea a a ae cc a a ae cc a a a cc ea a a cc ea a a ae ea a aac caaae eaaac caaae eaaac caaae eaaace ggggggdaaaaadfgf effffffffffffaaaaaaaace efffffffffffffffg eecaaaaaacce efffffffffffffffg eccaaaaaace efffffffffffffffg ecaaaaaacce efffffffffffffffg eccaaaaaacee efffffffffffffffg ecaaa efffffffffffffffg efffffffffffffffg ecadbbbbbbbbbbffffffg ecadbbbbbbbbbddacffffffffdbfffffg dbbbbbbbbbddace efffffffffbfffffg cce effffffffffbffffg effffffffffbbfffg efffffffffffbfffg effffffffffffbffg effffffffffffbdfg efffffffffffffbfg egffffffffffffdbg eeeeeeeeeeeeeebe eb ba b ab be eb bd edb b edbbba cb abbbde bc cbbbde eb cdbbbc dd edbbbc b edbbba cb abbbde bbde ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#cf9ffeff b,#b059d0ff c,#dfbef4ff d,#bf78d8ff e,#e9d4f7ff f,#d19ee3ff g,#f4e9faff ``` ```image gecaaaaaaccegg gcaaaaaaaaaacceegg geeccaaaaaaaaaa ggeccaaa ggeg ggeccfffddbbbbbbe dbbbbbbbbbbbbbbbbbbd bbbbbbddfffccegg gbbf cegg cbbg dbd ebbc fbb gbbf cbbg dbd gbbc fbbg dbf cbbe dbd gbbc fbbg dbf ebbe ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 Zero, Nada.	<!-- image --> ```palette Key,Color ,#fefefeff a,#cf9ffeff b,#b059d0ff c,#e1c2faff d,#c382dbff e,#eeddfbff f,#d6a9e6ff g,#f7f0fcff ``` ```image e ag cc ga a ag cc ga a a cc ea a a ae ea a a ae cc a a ag cc ga a ag cc ga a a cc ea a a ae ea a aac gcaaae eaaacg caaae eaaacg caaae eaaacg caaaaaceg ecaaaaaaace gecaaaaaaceg gccaaaaaace ecaaaaaaccg gecaaaaaaceg ecaaa ee ecfddbbbbbbbbb gecfdbbbbbbbbbddfce fb dbbbbbbbbbddfcg bc fcg gb dd bg cb bf b dd bg eb bf b fb be eb bd edb b gfbbbfg fb fbbbdg bc cbbbde gb cdbbdc dd edbbbf bg gfbbbfg cb fbbbdg bbde ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#699fb4ff b,#b6a97fff c,#bcd4ddff d,#9f8f57ff e,#d4cdb5ff f,#83afc1ff g,#eaedebff ``` ```image geebbdd geebbddddddddddddddd geebbdddddddddddddddddbbeeg eddg geebddddddddddddddddddbbeeg gdde bddddddddddddddddddbbeeg gdde dddddddbbeeg ddb ddb ddd ddd bdd bdd eddg eddg gdde gdde ddb ddb ddd ddd bdd bdd eddg eddg gdde gdde ddb ddb d ac aac ac faf caaa caa faaf gaa gaaac aag caaa aac faaf faf gaaac caa caaa gaa faaf aag gaaac aac caaa faf faaf caa gaaac gaa caaa aag faaf aac gaaac faf caaa caa faaf gaa gaaac aag caaa aac faaf faf gaaac caa caaa gaa faaf aag gaaac aac caaa faf faaf caa gaaac gaa caaa aag faaf aac gaaac faf caaaaa aaa g ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#ba7b84ff b,#3df3f9ff c,#ddbec2ff d,#6bf5f9ff e,#dafcfdff f,#efe1e3ff g,#ca9ba2ff ``` ```image ede edbbbbb edbbbbbbbbbd edbbbbbbbbbbbbbbe edbbbbbbbbbde dbbbbbb edbbbbbbbbbde bbbbbbd edbbbbbbbbbde ebbbbbbe edbbbbbbbbbde dbbbbbd edbbbbbbbbbde ebbbbbbe edbbbbbbbbbde dbbbbbb edbbbbbbbbbde bbbbbbd edbbbbbbbbbde ebbbbbb edbbbbbbbbbde dbbbbd edbbbbbbbbbde bbbb edbbbbbbbbbde ebbbe dbbbbbbbbbde bbbb dbbbbbbbbbde dbbb ebbbbbbbbde bbbd bbbbbde dbbb dbde bbbd bbbb caag ebbbe faaaaa bbbb aaaaaaa dbbb caaaaaaaa bbbd faaaaaacaaa bbbb aaaaaaa aaaf ebbbe gaaaaaaf aaac bbbb caaaaaac aaac ebbbe aaaaaag aaag bbbb gaaaaaa aaag dbbb caaaaaaf aaaa bbbd faaaaaag gaaa bbbb aaaaaaa gaaa ebbbe gaaaaaaf caaa bbbb faaaaaac caaa dbbbbe aaaaaag faaa bbbbbd gaaaaaa aaa dbbbbbe caaaaaac aaa ebbbbb faaaaaag aaaf bbb aaaaaaa aaaf de caaaaaaf aaac faaaaaac aaag aaaaaaa aaag gaaaaaaf aaaa faaaaaac gaaa aaaag gaaa cf gaa caaa aaaa f caaa aaaf faaa caaa aaa aaaa aaa aaac aaaf faaa aaaf aaaa aaac aaag aaag faaa aaag gaaa aaaa aaag gaaa aaaf gaaa caaa caaac aaaa caaaaa aaac faaaaaaf caaa aaaaaaac aaaa aaaaaaaaa aaag aaaacaaaaa faaa aaaa faaaaac gaaa aaaa aaaaag aaag aaaa gaaaaa aaaf aaaa faaaaaf caaa aaaa aaaaag aaaa aaaa gaaaaa aaac aaaa faaaaaf caaa caaa aaaaag aaaa aa gaaaaa aaac caaaaaf faaa aaaaac gaaa aaaaaaaaag caaaaaaaf faaaaaa aaaaa gaaf ``` <!-- end of image -->	[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#aed3afff b,#08512bff c,#994198ff d,#769f89ff e,#b277b2ff f,#3c7457ff g,#dacadbff ``` ```image dd dbd abb abbbb bb gbbbba bb bbbbd bbg fbbbf fbd dbbbf dbb abbbb bb gbbbbg bb bbbba bb fbbbd bbd fbbbf dbf dbbbb gbb abbbbg bb gbbbba bb bbbbd bba fbbbf fbf dbbbb abb abbbb bb gbbbba bb bbbbd bbg fbbbd fbd dbbbf abb dbbbb bb abbbbg bb aaaaaaabbbbdaaaa bbg aaaaabbbbfaaaaaa bbd aaafbbbfccccaaaa dbf afbbbbaccccccaaa gbb abbbbaacccaacccca bb gbbbbdaaeccaaaaecccg bb bbbbfaaaaccaaaaaaacccc bba fbbbf aaaacccaaaaaaaaecccg dbf dbbbf aaacccaaaaaaaaaa cccc abb abbbb aaaccaaaaaaaaaaa gccce bb gbbbbg aacceaaaaaaaaaaa cccc bb bbbba acccaaaaaaaaaaaa gccce bba fbbbd accaaaaaaaaaaaaa cccc fbd fbbbf cceaaaaaaaaaaaaa gccce abbdbbbb cccaaaaaaaaaaaaaa ecccg bbbbbg gccaaaaaaaaaaaaaaa ccce bbba cceaaaaaaaaaaaaaaa ecccg ad cccaaaaaaaaaaaaaaaa cccc gcc ecccg ccg cccc ccc gcccg gcc cccc ccg gccce ccc cccc ecc gccce ccg cccc ccc gccce ecc ecccg ccg ccce cce eccc ecc cg ccg cce ecc gcc cce ecc gcc cce ccc gcc cce ccc gcc ccg ccc gcc ccg ccc ecc ccg ccc ecc ccg cce ecc eg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c8a1c8ff b,#07512bff c,#993f98ff d,#85a796ff e,#ad66acff f,#356a51ff g,#e3d8e4ff ``` ```image gfbbbbbbbfg gfbbbbbbbfa gdbbbbbbbfd dbbbbbbbbd dfbbbbbbbfeg afbbbbbbbfcccca gfbbbbbbbfccccccceg gdbbbbbbbfdcccccccccca dbbbbbbbbdgcccccecccccceg dbbbbbbbbd ecccca accccccca fbbbbbbbdg gcccce ecccccceg bbbbbbfg cccccg gccccccca bbbbfa ecccca acccccc bbfd acccce gecccc bd gcccccg accc g ecccca gec acccce a gcccccg ecccca acccce gcccccg ecccca acccce gccccc eccccg acccce gccccc eccccg acccca cccce ccccg ccca cce ccg ca e g ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.	<!-- image --> ```palette Key,Color ,#fefefeff a,#bbb6c2ff b,#07512bff c,#994098ff d,#769e8aff e,#b270b2ff f,#387054ff g,#e4dde5ff ``` ```image gdd dbd abb abbbb bb gbbbba bb bbbbd bbg fbbbf fbd dbbbf dbb abbbbg gbb gbbbbg bb gbbbba bbg fbbbd bbd fbbbf dbf dbbbb gbb abbbbg bb gbbbba bb bbbbd bba fbbbf dbf dbbbb abb abbbbg bb gbbbba bb bbbbd bba fbbbd fbd dbbbf abb dbbbb bb abbbbg bb gbbbba bbg fbbbfg fbd fbbbfccce dbf dbbbbgccecccg gbb abbbbg cce cccc bb gbbbba ecc ecccg bb bbbbd gccg cccc bba fbbbf cce accca dbf dbbbf ecc cccc abb abbbbg gccg accca bb gbbbbg cce cccc bb gbbbba ecc gccce bba fbbbd gcc ccccg fbd fbbbf cce gccce abbdbbbb ccc ecccg bbbbbg gcc gccce bbba cca ecccg ad ccc cccc acc ecccg cca cccc ccc accca acc cccc cca accca ccc cccc acc gccce ccg ecccg ccc gccce ecc ecccg ccg gccce cce eccc ecc cg gccg cce ecc gccg cce ecc gcc cce ccc gcc cca ccc acc cca ccc acc cca ccc acc ccg ccc ecc ccg cce ecc eg ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#205bdbff b,#08aa42ff c,#8fd9a9ff d,#94b0edff e,#cde2eaff f,#4cc175ff g,#517fe2ff ``` ```image ecfe ecfbbbbbbbbc ecfbbbbbbbbbfce ecfbbbbbbbbbfc cfbbbbbbbbbfce ecfbbbbbbbbbfce ecfbbbbbbbbbfce cfbbbbbbbbbfce ecfbbbbbbbbbfce ecfbbbbbbbbbfce bbbbbbbbbfc fbfce bb fb bf bb ebc bb cbe bb fb bf bb bc e egaaaag dgaaaaaagdaa dgaaaaaage da gaaaaade ad age aa ea ga ga ea ag ad ae aa ga da aa ae ae ag da aa edaaa da egaaaaag ad egaaaaade aa egaaaaad ga egaaaaad ea egaaaaad ad egaaaaad aa dgaaaaad da dgaaaaad ae daaaaagd ge daaaaagd daaaaage daaaaage aaage e ``` <!-- end of image -->	[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#490c14ff b,#82ea5cff c,#9f8786ff d,#e0e4d8ff e,#6a3d3fff f,#b3d6b1ff g,#98d193ff ``` ```image dc eaaac aaaaaaf deaaaaa daaa a eaac aaa daaa aaaad aaa eaaaf eaac eaaac daaa caaac aaa caaae eaac faaae daaa daaaa aaa daaaa aaac aaaa faaa aaaa aaa aaaa aaac aaaa faaa aaaad aaa eaaaf aaaf eaaac faaa caaac aaa caaae aaaf faaae faaa daaaa aaa daaaa aaaf aaaa faaa aaaa aaa aaaa aaaf aaaa caaa aaaad aaa eaaaf aaaf eaaac caaa caaac aaa caaae aaad faaae caae daaaa aaa daaaa aaad aaaa caae aaaa aaa aaaa aaad aaaa caae aaaad aaa eaaad aaad eaaaf caaa caaac aaaf caaae caaa faaae aaae daaaa daaa daaaa eaaaggggggggggggggaaaaggggggf aaacffffffffffffaaaafffffffg caaafffffffffffaaaaffffffffg aaaefffffffffaaaafffffffffgbbbg gaaaffffffffaaaagffffffffbbbbbbb geaaaffffffaaaacfffffffbbbbbbbbbb gfaaacffffeaaacffffffbbbbbbb fbbbb gfcaaafffeaaacfffffbbbbbbbg dbbbb gffaaaefcaaaeffffbbbbbbbffg bbbbd gfffaaacaaaefffbbbbbbbffffg bbbbd gfffeaaaaaafgbbbbbbgffffffg bbbbf gffffaaaaagbbbbbbgffffffffg bbbbg gffffcaaabbbbbbgffffffffffg bbbbb gfffffeebbbbbgffffffffffffg gbbbb gfffgbbbbbbgffffffffffffffg fbbbb gfgbbbbbbgffffffffffffffffg dbbbb bbbbbbbgffffffffffffffffffg dbbbb gbbbbbbgffffffffffffffffffffg bbbbd gbbbbbbfffffffffffffffffffffffg bbbbd gbbbbbbfffffffffffffffffffffffffg bbbbf bbbbbbb gfffffffffffffffffffffffffg bbbbg bbbbbbb gfffffffffffffffffffffffffg bbbbb bbbbbbb gfffffffffffffffffffffffffg gbbbb bbbbbbb fgggggggggggggggggggggggggf fbbbb bbbbbbg dbbbb dbbbbbbg bbbbd dbbbbbbg bbbbd bbbbbbf bbbbf bbbbf bbbbg dbf bbbbb gbbbg fbb d ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#490b13ff b,#81ea5cff c,#b69fa1ff d,#e0e9d7ff e,#68383cff f,#8c6e6aff g,#b1f299ff ``` ```image aaad eaaaaaaac aaae faaaaaaac aaaac faaaaaaaf aaaaa faaaaaaaf aaaaaf caaaaaaaf aaaaaad caaaaaaae aaaaaae caaaaaaae faaaaaac daaaaaaaed daaaaaaad daaaaaaaed db caaaaaaf daaaaaaaad dbbb eaaaaaad deaaaaaaad gbbbbb daaaaaae eaaaaaaac gbbbbbbb faaaaaac eaaaaaaac gbbbbbbbbb daaaaaaad faaaaaaac gbbbbbbbbbbb caaaaaaf faaaaaaaf gbbbbbbbbbbbbb eaaaaaad faaaaaaaf gbbbbbbbbbbbbgd daaaaaae caaaaaaaf dgbbbbbbbbbbbbgd faaaaaac caaaaaaae dgbbbbbbbbbbbbgd eaaaaaacaaaaaaae dgbbbbbbbbbbbbgd caaaaaaaaaaaaaed dgbbbbbbbbbbbbgd eaaaaaaaaaaaed dgbbbbbbbbbbbbgd daaaaaaaaaaad dgbbbbbbbbbbbbgd faaaaaaaaaddgbbbbbbbbbbbbg eaaaaaaacbbbbbbbbbbbbbg caaaaaafbbbbbbbbbbbbg faaaafbbbbbbbbbbbg feebbbbbbbbbbbg gbbbbbbbbbbbbbg gbbbbbbbbbbbbbd gbbbbbbbbbbbbbd gbbbbbbbbbbbbbd gbbbbbbbbbbbbgd gbbbbbbbbbbbbgd bbbbbbbbbbbgd bbbbbbbbbgd bbbbbbbgd bbbbbgd bbbgd bg ``` <!-- end of image --> Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections	<!-- image --> ```palette Key,Color ,#fefefeff a,#490c14ff b,#82eb5cff c,#a28487ff d,#e2ecdaff e,#6c3c41ff f,#c6b3b6ff g,#acf194ff ``` ```image fc eaaac aaaaaaf deaaaaa daaa a eaac aaa daaa aaaad aaa eaaaf eaac eaaac daaa caaac aaa caaae eaac faaae faaa daaaa aaa daaaa aaac aaaa faaa aaaa aaa aaaa aaaf aaaad faaa aaaad aaa eaaaf aaaf eaaaf faaa caaac aaa caaae aaaf faaae faaa daaaa aaa daaaa aaaf aaaa faaa aaaa aaa aaaa aaaf aaaa faaa aaaad aaa eaaaf aaaf eaaaf caaa caaac aaa caaae aaaf faaae caae daaaa aaa daaaa aaad aaaa caae aaaa aaa aaaa aaad aaaa caae aaaad aaa eaaaf aaad eaaaf caaa caaac aaaf caaae caaa faaae aaae daaaa daaa daaaa eaaa aaaa aaaf aaaa caaa aaaa aaae aaaa gbbg daaad aaaad bbbbbbb eaaa eaaaf bbbbbbbbbb aaac eaaaf bbbbbbb dbbbb faaa caaac bbbbbbg dbbbb aaae caaae dbbbbbbg bbbbd aaacaaae dbbbbbbg bbbbd eaaaaae dbbbbbbg bbbbg aaaaadbbbbbbg bbbbg faaabbbbbbg bbbbb cebbbbbg gbbbb gbbbbbbd gbbbb gbbbbbbd dbbbb gbbbbbbd dbbbb gbbbbbbd bbbbd gbbbbbbd bbbbd gbbbbbbd bbbbg bbbbbbb bbbbg bbbbbbb gbbbb bbbbbbb gbbbb bbbbbbb gbbbb bbbbbbg dbbbb dbbbbbbg dbbbbd dbbbbbbg bbbbd bbbbbbg bbbbg bbbbg bbbbg dbg bbbbb gbbbg gbb d ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#11cf8dff b,#fb7e27ff c,#97e9cdff d,#fcab72ff e,#58ddafff f,#fddac1ff g,#cdf4e7ff ``` ```image bf fbbb bbbbbd dbbbbbf fbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbf fbbbbbd bbbbbb dbbbbbf fbbbbbb bbbbbb fbbbbbd bbbbbb dbbbbbf fbbbbbd bbbbbb dbbbbbf fbbbbbb fdbbbbbbbbf fdbbbbbbbbbbbd dbbbbbbbbbbbbbbd fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbbd fbbbbbbbbbbbbdf fbbbbbbbbdf bbbbbf bbbb bbbb bbbbf bbbbf aaaaaec bbbbf eaaaaaaaaaaaaecg bbbbd caaaaaaaaaaaaaaaaaaaaaeg bbbbd gaaaaaag ceaaaaaaaaaaaaaaaaaaec dbbbd gaaaaaac geaaaaaaaaaaaaaaaaaaecg dbbbb aaaaaac gceaaaaaaaaaaaaaaaaaaeg dbbbb eaaaaae ceaaaaaaaaaaaaaaaag fbbbb caaaaaa geaaaaaaaaaa fbbbb gaaaaaag gceaaa fbbbb aaaaaac bbbb aaaaaae bbbb eaaaaae bbbb caaaaaa bbbf gaaaaaag bf aaaaaac aaaaaae eaaaaae caaaaaa gaaaaaag aaaaaac aaaaae eaaaa aaac aaa aaa gaaa eaae aaac aaa aaa gaaa eaae aaag aaa aaa caaa eaae aaag aaa aaa caaa eaae aaag aaa aaa caaa aaac aaag aaa ``` <!-- end of image -->	[ "" ]
This image has no intersections, it's quite obvious.	<!-- image --> ```palette Key,Color ,#fefefeff a,#79ed62ff b,#f6e782ff c,#d0f8c7ff d,#b1f4a3ff e,#f2fae6ff f,#94f081ff g,#faf3c4ff ``` ```image b gbb bbb gbgbe bb bb gbe bb bb ebe gbe bbg bb ebbbbe gbe bbbbg bb gbbbbe gbe bbbbg bb gbbbbe gbg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg fe gbbbbe aa bbbbg daa gbbbg aaae b afaf eaeaa fa da aa ad ad aa da fa aa eac c af af eaa eac aa daf fa ca fad aa ad aac ad aa aae ca da aa aa ac aa aa aa eaa eac fa caa da eae daf aa af fad ad aa fac cae ca aae fa ad aa aa aa aa ac da eaa da eac caa aa aa caf af fa dad eae cae fac fa afcccccceeee aae aa aaaaaaaaaaaaaaaaaaaaaaaaac aae ad eeeeeccccccdddddde aa ca eaa aa eaa af caf eac daf da fad aa aac ad aae ca aa aa aa aa eaa ac caa da daf aa fadaf aaae aa ``` <!-- end of image -->	[ "" ]
No intersections here, it's plain to see.	<!-- image --> ```palette Key,Color ,#fefefeff a,#e0cdbeff b,#9a8c5bff c,#db3925ff d,#eea9a0ff e,#bab18fff f,#e47062ff g,#f4e5e0ff ``` ```image dcf cccg ccccc f gccdccc fcc ccc accf accc fcc fcca gccc ccf ccc gccc ccc ccc gccc dcca gccf gccc ccc fccd gccc fcc ccc gccc gccf ccc gccc ccc gccc gccc dccg dccd gccc ccc cccg gccc ccc ccc gcccg gccd gccc gcccg ccc dccf gcccg fccg fccg gcccg ccf ccc cccg ccc ccc cccg acca acf cccg ccc a cccg fcc cccg gccf cccg ccc cccg dccg cccg ccc cccg ccc cccg gccd ccca ccc ccca fccg ccca ccf ccca ccc aaa ccca accd ebb ccca ccc ebb cccd fcc bbb cccd ccf bbe cccd ccc bbe cccd dcca bba cccdccc bba ccccc bbg cccd bbg cc bb bb gbb gbb abb abb ebb ebb bbb bbe bbe bbe bba bbg a bbg ebba bb gbbbbb bb bbbbebbg bb abbbb bbb gbb bbbba abb abb ebbbb bbeabb gbbbba ebbebb ebbbe bbbbb gbbbbg bbbbb bbbbe bbbb abbbb bbbe bbbba abbe ebbbb bba gbbbbg ge bbbbe abbbb gag bbbbe abbbbbbbbbeag ebbbb ebbbbbbbbbbbbbbbbbbbeeag bbbba gaeebbbbbbbbbbbbbbbbbbbbbeeag ebbbb gaaebbbbbbbbbbbbbbbbbbbbbbbbbg gaeebbbbbbbbbbbbe gaeeb ``` <!-- end of image -->	[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#881c85ff b,#1efd97ff c,#c3f8e1ff d,#a568a3ff e,#6afab6ff f,#b1d7b1ff g,#96c998ff ``` ```image daa fgdaadgggggggggggggggggggggggggggggf gffaaadffffffffffffffffffffffffffffg gfffaaaffffffffffffffffffffffffffffg gffffaaafffffffffffffffffffffffffffg gfffffaaaffffffffffffffffffffffffffg gfffffdaaafffffffffffffffffffffffffg gffffffdaadffffffffffffffffffffffffg gfffffffaaagfffffffffffffffffffffffg gffeeffffaaafffffffffffffffffffffffg gfbbbfffffaaaffffffffffffffffffffffg gfgbbfffffgaaafffffffffffffffffffffg gffbbefffffdaaaffffffffffffffffffffg gffbbbffffffaaadfffffffffffffffffffg gffgbbfffffffaaagffffffffffffffffffg gfffbbefffffffaaaffffffffffffffffffg gfffbbbffffffffaaafffffffffffffffffg gfffebbffffffffgaaaffffffffffffffffg gffffbbeffffffffdaadfffffffffffffffg gffffbbbfffffffffaaadffffffffffffffg gffffebbffffffffffaaaffffffffffffffg gfffffbbeffffffffffaaafffffffffffffg gfffffbbbfffffffffffaaaffffffffffffg gfffffebbfffffffffffgaaafffffffffffg gffffffbbgfffffffffffdaadffffffffffg gffffffbbbffffffffffffaaagfffffffffg gffffffebbfffffffffffffaaafffffffffg gfffffffbbgfffffffffffffaaaffffffffg gfffffffbbbffffffffffffffaaafffffffg gfffffffebbffffffffffffffbbaadddddaaddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa gffffffffbbgffffffffffffebbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbe ebbaaaaaaaaaaaaaaaaaaaaddddddddddddddddddddffffffffcccccc ebb bbb bb bbbc bbe bbbe ebb bbbb bb bbbb bbe bbbb ebb cbbbb cbb cbbbb bbe ebbbbc bbb bbbbbe cbb bbbbbb bbe bbeebb bbb bbccbb cc cbb bbc bb bbb bbe bb bb bbbbe bbb bb bbc bbbbbb cbb cbb bbe bb bbbbe bbc ebb bbb bb cbbbb bbb ebb ebb bb bbbbe cbb bbb cbb bb cbbbb bbc bbe cbb bb bbbbe bbb bbe bb bb cbbbb ebb bbc bbc bb bbbbe bbc bb bbe bb cbbbb bbb bb bbb bb ebbbe ebb cbb ebb bb cbbbb bbccbb cbb bb ebbbe bbbebb cbb bb cbbbb ebbebb bb bb ebbbe bbbbb bbcbb cbbbbc bbbbe bbebb ebbbe ebbbc bbbbb bbbbc bbbc ebbbb ebbbe bbb ebbbb bbbbc ebb cbbbb ebbbe bb bbbb bbbbc bbbb ebbbb bbbb bbbbc bbbb ebbbb ebbb bbbbc ebbb ebbbb cbbb bbbbc bbb ebbbb bbb bbbbc bbb ebbbb bbb bbbbc ebb ebbb ebb bc bc ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#871a84ff b,#20fc98ff c,#bffee1ff d,#a454a2ff e,#76febfff f,#e2c9e1ff g,#c38cc1ff ``` ```image faaaaad gaaaaad daaaaag aaaaaaf faaaaaaf faaaaaa gaaaaad daaaaad daaaaag aaaaaaf faaaaaaf faaaaad gaaaaad daaaaag daaaaag faaaaaaf faaaaaaf cee gaaaaad ebbbb gaaaaad bbbbbc daaaaag ebbbbe daaaaaf cbbbbb faaaaaaf bbbbbc faaaaaa ebbbbe gaaaaad cbbbbb daaaaad bbbbbc daaaaag ebbbbe aaaaaaf cbbbbb faaaaaaf bbbbbc faaaaaa ebbbbe gaaaaad cbbbbb daaaaag bbbbb daaaaag ebbbbe faaaaaaf cbbbbe faaaaaaf bbbbb gaaaaad ebbbbc gaaaaad cbbbbe daaaaag bbbbb daaaaag ebbbbc faaaaaaf cbbbbe faaaaaaf bbbbb gaaaaad ebbbbc gaaaaad cbbbbe daaaaag bbbbb aaaaaaf ebbbbc faaaaaaf ebbbbe faaaaaa bbbbb gaaaaad bbbbbc daaaaad ebbbbe daaaaag cbbbbb aaaaaaf bbbbbc faaaaaaf ebbbbe faaaaad cbbbbb gaaaaad bbbbbc daaaaag ebbbbe daaaaag cbbbbb faaaaaaf bbbbbc fbbaaaaf ebbbbe bbbbaaaddddddddddddd cbbbbb cbbbbdaaaaaaaaaaaaaaa ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#881b85ff b,#1dfd97ff c,#cdfae6ff d,#a95aa6ff e,#8bfec9ff f,#d3abd2ff g,#52feafff ``` ```image c faa daad aaaf aaa aaa aaa faaa daad aaaf ee aaa gbb aaa cbb caaa bbe faad bbb daaf cbb aaac bbe aaa bbb aaa cbb faaa bbe daad bbb daaf ebb aaa bbc aaa bbb aaa ebb faaa bbc daad bbb aaaf ebb aaa bbc aaa bbg aaa ebb bbaaddddddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbc ebbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbg gbbdaaaaaaaaaaaaaaaaaaddddddddddddddddffffffffffffffffffcc gbb bbb bb bbbe bbg bbbg gbb bbbb bb bbbb bbg bbbb gbb cbbbb cbb ebbbb bbe ebbbbc gbb gbbbbg cbb bbgbbb bbe bbegbb bbb bbeebb cc cbb bbccbb bbb bbe bb bb bbbbe bbb bb bbc bbbbbb cbb cbb bbe bb bbbbe bbe ebb bbb bb cbbbb bbb gbb gbb bb gbbbe ebb bbb ebb bb cbbbb bbc bbg cbb bb gbbbe bbb bbe bb bb cbbbb ebb bbc bbc bb gbbbg bbc bbc bbe bb cbbbb bbb bb bbg bb gbbbg ebb cbb gbb bb cbbbb bbcebb ebb bb gbbbg bbgebb cbb bb cbbbbc ebbgbb bb bb gbbbg bbbbg bbebb cbbbbc bbbbg bbgbb gbbbg gbbbe bbbbb cbbbbc bbbc gbbbb gbbbg bbb ebbbb bbbbc gbb cbbbb gbbbg bb bbbb bbbbc bbbb gbbbg bbbb bbbbc bbbb ebbbg gbbb bbbbc ebbb ebbbb cbbb bbbbc bbb ebbbb bbb bbbbc bbb ebbbb bbb bbbbc gbb ebbb ebb bc gc ```

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I'm analyzing this image to identify any points where lines intersect. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#2761f4ff b,#99b8fbff c,#085efcff d,#578df5ff e,#cfddfcff f,#b0d6b1ff g,#94c79dff ``` ```image e e dcca acc bccccccc bccb edcccccccab ccc bccccccccb ccd eacccccccde dcc dccccccccb ccc bccccccccde bccb edcccccccab ccc bccccccccd ccd eacccccccde dcc ecccccccb ccc dcccde bccb dcc ccc acc ccd acc dcc cca ccc ccd bccb ccd ccc ccd ccd ccd dcc ccb ccc ccb eccb ccb ccc cce ccd cce dcc cce ccc cc eccb cc ccc cc ccd cc ae dcc ecc aaad ccc ecc aaaa eccb ecc aaaae cccggggggggggggggf bcc baaad ccafffffffffffffg bcc aaaa dccfffffffffffffg bcc aaaae cccffffffffffffg dcc baaad gccdfffffffffffg dcc aaaa fcccfffffffffffg dcc aaaae ffccaffffffffffg acc baaad ffdccffffffffffg acc aaaa fffcccfffffffffg eacca aaaae fffgccdffffffffgbccccccd baaad ffffcccfffffgacccccccde aaaafffffccafdccccccccb aaaagfffdccccccccag baaadfffcccccdfffg eaaaafffdgffffffg faaaaffffffffffg ffdaaaaffffffffg gffgaaaadffffffg baaaad daaaab daaaae aaaaae eaaaaa eaaaad baaaad daaaab daaaae aaaaae eaaaaa eaaaad baaaad baaaab daaaab aaaaae aaaaa eaaaaa baaaad baaaab daaaab aaaaae aaaaa eaaaaa eaaaad baaaad daaaab daaaae aaaa eab ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#255ff5ff b,#8fb4fdff c,#085efdff d,#3d7afaff e,#e2ecfdff f,#bad0fcff g,#6597fbff ``` ```image cae ccg cccf cccd ccccb ccccae cccccg bcccccf dccccd fcccccb gccccae ecccccg bcccccf dccccd fcccccb gccccae ecccccg bcccccf dccccd fcccccb gccccce efg ecccccg ebdccc bcccccf fgacccccc f dccccd ebdcccccccccc ag fcccccdaccccccccccccc aade gcccccccccccccccccdb aaaaf ecccccccccccccagf aaaaag bcccccccccdbe aaaaaade dccccagfe gaaaaaaaf eggbf baaaaaaag fdaaaaaade egaaaaaaab baaaaaaadf fdaaaaaaadf ```  It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#265ff4ff b,#96b7fbff c,#085efdff d,#447ffaff e,#e3ebfdff f,#bbd0fdff g,#6e99f9ff ``` ```image e e egcca acc bccccccc fccb edcccccccaf ccc gccccccccg ccd fdcccccccdf dcce egccccccccb ccc bccccccccge fccb edcccccccaf ccc bccccccccg ccd fdcccccccdf dcce fcccccccb ccc dcccde fccb dcc ccc acc ccd acc dcce cca ccc ccd fccb ccd ccc ccg ccd ccg dcce ccb ccc ccb fccb ccf ccc ccf ccd ccf dcce cce ccc cc fccb cc ccc cc ccd ecc ae dcce ecc aaag ccc fcc eaaaa fccb fcc daaae ccc bcc baaag ccd bcc eaaaa dcce bcc daaae ccc gcc baaag fccb gcc eaaaa ccc dcc daaae ccd dcc baaag gcce acc eaaaa ccc fdcca daaae fccb bccccccg baaag ccc edcccccccde eaaaa ccd bccccccccb daaae gccccccccde baaag cccccb eaaaa edf daaae baaad eaaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf daaaae eaaaaae eaaaad faaaad baaaag gaaaab daaaaf aaaaae eaaaaa faaaad baaaag gaaaab daaaaf aaaa eab ```

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Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#096766ff b,#faee37ff c,#9ccaa4ff d,#f4f082ff e,#b2d7b3ff f,#51948fff g,#f0f5e8ff ``` ```image gggggggggggggggg ccccccccccccccccc ceeeeeeeeeedbeeee ceeeeedbbbbbbbeee cedbbbbbbbdeeeeee gdbbbbbbbdeeeeefceee dbbbbbbbdeeeeeeeeecafeee gdbbbbbbbd ceeeeeeeeeefaeeee dbbbbbbbdg ceeeeeeeeeeaaeeee gdbbbbbbbd ceeeeeeeeeeaaeeee dbbbbbbbg ceeeeeeeeecafeeee bbbdg ceeeeeeeeefaceeee bb ceeeeeeeeeaaeeeee bb ceeeeeeeeeaaeeeee bd ceeeeeeeeeafeeeee bd ceeeeeeeefaceeeee bg gbd cccccccccaacccccc dbbb dbg ggggggggaagggggg ggggbbbdggggg db af cccccdbbbccccc bb eae eeeeeeebbbdeec bb fa eeeeeeeeebbbec bb aa eeeeeeeeeebbbb bb aa eeeeeeeeeeeebbbg bb eac eeeefceeeeeeedbbb bb fa eeeeaaeeeeeeec bbbd bd aa eeeeaaceeeeeec gbbb gbd aa eeeeaaaeeeeeec dbbd gbg gaf eeeeaaaceeeeec gbbbg dbg fag eeeeaaaaeeeeec dbbb db aa eeeeaaaaceeeec bbbd bb aa eeeeaaeaaeeeec gbbb bb gaf eeeeafeaaceeec bbbd bb cae eeeeafeeaaeeec gbbbg bb aa ccccafccaacccc dbbd bb aa ggggafgggaagg bb bb af gaf aa dbg bd cae gac gaa bb gbd aa gac aa bb gbg aa gac eaf dbg dbg aa eac aa bb db eac eae eaf bb bb fa eae aa dbg bb aa eae caf bb bb aa cae aa bb bb gaf cag cac dbg bb fag cag aa bd bb aa cag fac bb bd aa fag aa dbg gbd gaf fa fae gbd gbg cag fa aa bb dbg aa fa fae db db aa fa aa gbd bb af fa fag bb bb cae fa aa bb bb aa aa aag gbd bb aa aa gaa bb bb aa aa aag bb bb eac aa gaa gbd bd fa aa aa bbgbd aa aa gaa ggggbbdbggggggg aa aa aa gcccccbbbcccccccc gac aa eaf gceeeebbbeeeeeeec fag aa aa gceeeebbbeeeeeeec aa aa eaf gceeeeebbeeeeeeec geaa aa aa gceeeeebbeeeeeeec gefaaaaaaaaf aa caf gceeeeeddeeeeeeecefaaaaaaaaaaaaffeg aa aa gceeeeeecffaaaaaaaaaaaafceg aa cac gffaaaaaaaaaaaaafeg aa aaefaaaaaaaaaaaaafceeeeeec aa faaaaaaaffceeeeeeeeeeeeeec aa ce gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gceeeeeeeeeeeeeec aa gcccccccccccccccc aa ggggggggggggggg af af af af ee ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#086665ff b,#fbee36ff c,#639e9eff d,#fbf274ff e,#accccbff f,#368281ff g,#fdf9beff ``` ```image dbbbbbbg gdbbbbbd gbbbbbbg dbbbbbdg gbbbbbbd dbbbbbbg gdbbbbbd gbbbbbb dbbbb gbbb db g ec eaaf caaae caaaf caaaae caaaaf caaaaae caaaaaf faaaaaae faaaaaaf faaffaaae faafeaaac faaf faaae faaf eaaac faaf faaa faaf eaaac faaf aaaa aaac eaaac aaac aaaa aaac caaac aaac aaaa ```  I had hoped to find an intersection in area A, but there isn't one. Let's inspect the next region. I'm going to scrutinize area B for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#096766ff b,#faee36ff c,#8fb9b9ff d,#fbf37cff e,#cde0dfff f,#509392ff g,#fdf9c1ff ``` ```image bbbbgbbbg dbbbdbbbg gbbbbbbb bbbbbbb dbbbbbb gbbbbbd bbbbbd dbbbbd gbbbbd bbbbg dbbbg gbbb gdg eeccffa eeccffaaaaaaaaa eeccffaaaaaaaaaaaaaaaaa eeccffaaaaaaaaaaaaaaaaaaaaaaaaf aaaaaaaaaaaaaaaaaaaaaaffccee aaaaaaaaaaaaaaffccee aaaaaaffccee ccee ```  I had hoped to find an intersection in area B, but there isn't one. Now, let's scrutinize the next spot. I'm going to scrutinize area C for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#086766ff b,#fbee36ff c,#84b3b3ff d,#fbf37dff e,#c2d9d9ff f,#478d8cff g,#fdf9c0ff ``` ```image g ggdbbbg gddbbbbbbbd gdbbbbbbbbbbbbd ggdbbbbbbbbbbbbbbdgg gddbbbbbbbbbbbbbddg dbbbbbbbbbbbbbbdgg bbbbbbbbbbddg ffce bbbbbbddg aaaf bbdgg eaaac caaae faaa aaaf eaaac caaae faaa aaaf aaac eaaac caaae faaa aaaf eaaac caaae faaa aaaf eaaac caaae faaa aaaf ```  Area C doesn't meet the criteria for an intersection. Answer: A: 0; B: 0; C: 0; 0 + 0 + 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#086665ff b,#faee36ff c,#76aaaaff d,#fbf379ff e,#b7d2d2ff f,#3c8685ff g,#fdf9c5ff ``` ```image gdbg gdbbbbbd dbbbbbbbd gdbbbbbbdg fe gbbbbbbbdg eac gdbbbbbbbg fa gbbbbbbbdg aa dbbbbbbbd aa dbbbbbbdg ac bbbdg ca bb aa bb aa bd af bd cae bg gbg aa gbbb gbg aa bbbg db af gbbb db eae bbbd bb fa gbbb bb aa dbbd bb aa bbbg bb eac e dbbb bb fa aa bbbd bd aa aae gbbb bd aa aaa dbbd gbg ac aaae bbbg dbg ca afaa dbbb db aa affae bbbg bb aa af aa gbbb bb af af aa bbbd bb cae af aa gbbbg bb aa ac aa dbbd bb aa ac aa bb bb af ac aa dbg bd eae ac eaf bb bd fa eac aa bb gbg aa eac eaf dbg db aa eae aa bb db eac eae eaf bb bb fa eae aa dbg bb aa eae eac bd bb aa eae aa bb bb eac cae cac db bb ca cae aa bd bb aa ca cac bb bd aa ca aa db gbd af ca fae bd gbg cae ca aa bb db aa fa fae db db aa fa aa bd bb af fa fae bb bb eae fa aa db bb fa fa aa gbd bb aa aa aa bb bb aa aa aa bb bd eac aa aa gbd bd fa aa aa bbgbg aa aa eaf bbgbg aa aa aa gbbb eac aa eaf bbb ca aa aa bbb aa aa eaf gbb eaa aa aa bb ecfaaaaaaac aa eac gg ecfaaaaaaaaaaafce aa aa ecfaaaaaaaaaaafce aa cac ecfaaaaaaaaaaafce aa aaecfaaaaaaaaaaafce aa caaaaaaafce aa ce aa aa aa aa aa af af af af af ee ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#b77188ff b,#4dc497ff c,#983355ff d,#e8edebff e,#d8b3c0ff f,#b6e7d4ff g,#83d6b7ff ``` ```image dded deeeaaaccccccccccccccc deeeaaaccccccccccccccaaaeeed ac cccccccccaaaeeed ce dc ac ce dc ac ce c ac ce c ec ce c ec ce c ec ca c ec ca c ec ca cd ec ca cd dc ca cd dc aa bg cd gbbf dc fb bd aa db bd cd bd db dc bf fb ac bg fb ce gb gb dc fb bb ac db bg ce bd bf dc bf bf ac bg bg c gb bb gb gbd db dbg b bb bd gbd bg dbg bb bb gb fbf fb bb db gbd bd dbg bf bb bg fbf gb bb fb gbd db dbg bd bb bf fbf bg bb gb gbd fb dbg db bb bd fbf bf b bg gb fb db bd bf ```

[ "" ]

I have a feeling there might be some intersections in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#983267ff b,#95eae9ff c,#d5abc1ff d,#e7f2f0ff e,#aed6afff f,#56e0e2ff g,#b26a8eff ``` ```image cggd dgaaaaaaaaaac aaaaaagc caaaaaagc aac dgaaaaaacd cgaaaaagc dgaaaaaagd cgaaaaagc dcaaaaag cgac aa aa dag gac aa aa daa cac aad aa daa cac aad aa aa cag gad aa aa cag gac aa aa dag gac aa aa dag cac aad aa ffd daa bffffd cac dff dfffb aad ff dfffb aa ff fffb aa bfb ffff cag ff bfff gad ff bfffd aa ffd bfffd aa dfb dfffb cag ff dfffb gad ff dfffb aa bfd fffb ddddddddddaadddddddd dfb bfff eeeeeeeeeeeeaaeeeeeee ff bfffd eeeeeeeeeeeegaeeeeeee ff bfffdeeeeeeeeeeeeeaaeeeeee bfb dfffeeeeeeeeeeeeeaaeeeee ff dfffbeeeeeeeeeeeaaeeee ff eeffffeeeeeeeeegageee ffd eeeeffffeeeeeeeeaeeee dfb eeeeeeffffeeeeeeeeeee ff eeeeeeeeffffeeeeeeeee ff eeeeeeeeeebfffeeeeeee bfd eeeeeeeeeeeebfffeeeee dfb eeeeeeeeeeeeeeeffbeee ff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee bfd eeeeeeeeeeeeeeeeeeeee dff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeeeeeeee bfb eeeeeeeeeeeeeeeeeeeee ff dddddddddddddddddddd ff bfd dfb ff ff bfd dff d ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#973066ff b,#96ebedff c,#bf80a1ff d,#cdf5f6ff e,#e0c2d1ff f,#56e0e3ff g,#a8527fff ``` ```image caaae gaaa eaaag eaaac caaae gaaa eaaag d eaaac ffd caaae ffffd gaaae ffffffb eaaag dbffffffb eaaac bffffffbd caaae bffffffbd gaac bffffffbd ge dfffffffd dfffffffd dbffffffb dbffffffb dbffffffbd bffffffbd bffffffbd dfffffffd dfffffffd dbffffb dbff dd ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#973066ff b,#8deaecff c,#c791adff d,#caf5f6ff e,#e4c9d7ff f,#56e0e3ff g,#ac5b85ff ``` ```image egge ecaaaaaaaaaac aaaaaage cgaaaaage agc ecaaaaaac egaaaaage ecaaaaaace egaaaaagc caaaaag egae aa aa eag cae aa aa ag cac aa aa aa cac gae aa aa eac gae aa aa eag gae aa aa eag cae aa aa eag cac aa aa ffd aa bffffd cac fb dfffd ga ff dfffb aa ff fffb aa dfd ffff eac ff bfff gae ff bfffd aa bf dfffd aa dfb dfffd eag ff dfffb gae ff fffb aa bfd fffb aa dfb bfff eag ff bfff gae ff bfffd aa bfd dfffd aa ff dfffb eag ff fffb cac ff fffb g dfb bfff ff bfff ff bfffd bfd dfffd dfb dffd ff d ff bfd ff ff ff dfb ff ff bfd dfb ff ff bfd ff d ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#90d267ff b,#e9f3c9ff c,#b9e2a0ff d,#eef7ddff e,#a7db87ff f,#f7fbefff g,#ceeabcff ``` ```image gaa aaa aad eaa aac baa aaa aab caa aae daa aaa aag gaa aae faaf eaa aag gaa aaa aad eaa aac baa aaa aab caa aae daa aaa aag caa gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf deaaaaaaeeeeccccccccggggggggbbbbdddddffff faaaaaag aaaag baad aaa caa aac aaa daab aaa caaf aae aaa daag aaa gaaf aae eaa ff faag dbbbf aaa fbbbbbbb gd dbbbbbd bbf bbbbbbf bbb dbbbbbd bbd bbbbbbf bbb fbbbbbb bbd dbbbbbd dbb fbbbbbbf bbd dbbbbbd dbb bbbbbbf bbb dbbbbbd fbb bbbbbbf bbb fbbbbbb fbbf dbbbbbd bbb fbbbbbbf fbbf dbbbbbd bbb fbbbbbbf bbf dbbbbbd bbb bbbbbbf bbd fbbbbbb dbb dbbbbbd bbd fbbbbbb dbb dbbbbbd bbb fbbbbbbf dbb dbbbbbd bbb bbbbbbf fbb dbbbb bf ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#87a086ff b,#29eebeff c,#c7d3c7ff d,#70f3d3ff e,#aff8e6ff f,#e2f0eaff g,#a5b8a4ff ``` ```image a g cf a a c c a g ff g a c c a a fc g a g cf a a c g a cg caf caf faf faf fac fac fac fac ac ac ag ag ag gg gg gg ga ga ga ca ca caf caf caf caf faf faf fac fbd fac be fb fac bd dd fac db bf ac ebf db ac be be fa bd eb fg db bd cg eb fb gc fbe dd gf bd bf af db db eb be fbf eb be bd dd fb db dd ebf bf be db bd be db eb ebf bd fbe fb bd dd b ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#3fab35ff b,#db07e0ff c,#f3aff4ff d,#b5deb1ff e,#e551e9ff f,#24a018ff g,#78c471ff ``` ```image a af af af af af af af af af af af af af af af af af af af dgafff b dggafffffffffag bb ddgafffffffffagdd bb dafffffffffaggd bb dgfffffagd bb gfffffgd eb daffffad eb dgfffffg ebc gfffffgd cbc affffad cbc fg cbe be be bb bb bb bb bb bb eb eb ebc cbc cbc cbe be be bb bb bb bb bb bb bb eb ebc cbc cbc cbe be be bb bb bb bb bb bb bb eb ebc ebc cbc cbe cbe bbbec be cebbbbbec bb cebbbbbec bb cebbbbbec bb cebbbbbe bb cbbbb ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#ed5e51ff b,#419eadff c,#e61402ff d,#d6e2e5ff e,#f5a8a2ff f,#89c2ccff g,#068094ff ``` ```image cccccccccccccccccccccccccccce ccccccccccccccccccccccccccccc accccccccccccccccaaaaaaaaaccc ecce ccc ccc ecce ccc ccc acce ccc ccc accd cca ccc acc cca ccc acc dcca ccc acc dcca ccc ccc ecca ccc ccc ecce ccc ccc eccccae ccccccccccaae eccccccccccccccccaed eacccccccccccccccccaed eacccccccccccccccccae eacccccccccccccccccae deaccccccccccccccccca deaccccccccccc eaacccc ddffbbggggg gggggggggggggggggf dgggggggggggggggggggg bggggbbffdd fggggb ggggb gggggd fggggd dggggb ggggg bggggd fggggf dggggg bgggg bggggf dggggf ggggg bgggg fggggf ggggb ggggg fggggd fggggb ggggg gggggd dggggf dggg bgggg bd ggggb fggggd ggggb fggggf ggggg dggggf bgggg ggggb fggggd ggggg dggggf bgggg dggggb bggggd ggggb fggggd ggggg dggggf gggg dgb d ```

[ "" ]

Here's an image. My task is to find intersections or areas where lines come close together. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#964d49ff b,#b7f7b1ff c,#d0afadff d,#e8f5e5ff e,#ad7e77ff f,#afd7afff g,#98c796ff ``` ```image d eaaae caaaaaaaac aaaaaaaaaaaaac eaaaaa caaaaaaaad daaaaac eaaaaaaae aaaaae daaaaaaaac caaaaad caaaaaaaac daaaaac caaaaaaaad aaaaae eaaaaaaae caaaaad daaaaaaaac daaaaac caaaaaaad eaaaaa caaaa caaaaad ee aaaaae eaaaaa caaaaad aaaaae eaaaaa daaaaac aaaaae gggggggggggggggf eaaaaa dfffffffffffffffg daaaaac dfffffffffffffffgaaaaae dffffffffffffffeaaaaad dfffffffffffffaaaaac dfffffffffffaaaaaa dfffffffffeaaaaag dffffffffaaaaaefg dffffffaaaaaafffg dffffeaaaaagffffg dfffaaaaaeffffffg dfeaaaaaffffffffg dfaaaagfffffffffg ddddddbbbbbbbbbbbbbbbbb dfgaefffffffffffg ddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddd bbb dfbbbbbbbbbbbbbbbbbbbbbbbbbdddddd bbb dfbfffffffffffffg bbbd dgffffffffffffffg dbbd ddddddddddddddd bbb bbb bbb bbb dbbd dbbb bbb bbb bbb bbbd dbbb bbb bbb bbb bbb dbbd bbb bbb bbb bbb bbbd dbbb bbb bbb bbb bbbd dbbd bbb bbb bbb bbb dbbd dbbb bbb bbb bbb bbbd dbbd bbb bbb bbb bbb ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#964c48ff b,#b6f8b0ff c,#c29896ff d,#eef2e8ff e,#a86b68ff f,#d3f9d0ff g,#dcc5c3ff ``` ```image c gea deaaa caaaaa geaaaaaa dcaaaaaaaa caaaaaaaaaa geaaaaaaaaaeg dcaaaaaaaaaacd gaaaaaaaaaaed geaaaaaaaaaag dcaaaaaaaaaacd gaaaaaaaaaaeg deaaaaaaaaaag caaaaaaaaaacd geaaaaaaaaaeg deaaaaaaaaaac eaaaaaaaaacd gaaaaaaaeg eaaaaac daaaed ceg dddddd dfffffffffffbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbfffffff ffffddddddd ```  I don't observe any intersections inside area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#964c48ff b,#b6f8b0ff c,#c59d9bff d,#ebf4e6ff e,#ad7471ff f,#d2facfff g,#dcc5c4ff ``` ```image d eaaae gaaaaaaaac aaaaaaaaaaaaag caaaaa caaaaaaaed gaaaaag eaaaaaaae aaaaae daaaaaaaac caaaaad gaaaaaaaag daaaaac caaaaaaaad eaaaae eaaaaaaae caaaaad daaaaaaaac daaaaac gaaaaaaag eaaaaa caaaa gaaaaad ee daaaaac eaaaaa gaaaaag aaaaae eaaaaa gaaaaag aaaaae caaaaad daaaaag aaaaae caaaaad daaaaac eaaaae caaaaad daaaaac eaaaaa gaaaaag aaaaac eaaaaa aaaag dddfffffbbbbbbbbbbbbbbb dae ddddffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dfffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffffddd bbb bbbbbbbbbbbbbbbbbbbbbbbfffffddd bbb ffdddd fbbd dbbf bbb bbb bbb bbb fbbf dbbb bbb bbb bbb fbbd dbbf bbb bbb bbb bbb fbbf bbb bbb bbb bbb fbbd dbbf bbb bbb bbb bbbd fbbf bbb bbb bbb bbb fbbd dbbf bbb bbb bbb fbbd dbbf bbb bbb bbb bbb ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#c31b63ff b,#47104eff c,#e0b3c9ff d,#7b5980ff e,#ca4d81ff f,#b1d7b1ff g,#9ac298ff ``` ```image cbd bbbbbd bbddbbbbbd bbb dbbbbbd dbb dbbbbbd cbb dbbbbbd bbc dbbbbbd bbd dbbbbbd bbb dbbbbbd dbb dbbbbbd cbb dbbbbbd bbc dbbd bbd bbb dbb cbb bbc bbd bbb dbb gbb bbc bbd bbb dbb gbb bbc bbd bbb dbb gbb cbbc bbd bbb bbb dbb cbbc bbd bbb bbb dbb cbbc ea ggggggggggggggbbdggggeaaa fffffffffffffbbbffffeaaaaa ffffffffffffbbbffffeaagfaae fffffffffffdbbffffeaagffgaac ffffffffffgbbgfffeaagfffgcaac ffffffffffbbdfffeaagffffg caa fffffffffbbbfffeaagfffffg eaa ffffffffbbbfffeaagffffffg aaa fffffffdbbfffeaagfffffffg aae ffffffgbbgffeaagffffffffg aae ffffffbbdffeaaffffffffffg caac fffffbbbffeaafffffffffffg caa ffffbbbffaaaffffffffffffg eaa fffdbbffaaafffffffffffffg aaa ffgbbgfaaaffffffffffffffg aaa ffbbdfaaafffffffffffffffg aae fbbbfaaaffffffffffffffffg aac bbbfaaafffffffffffffffffg caac dbbfaaaffffffffffffffffffg eaa cbbgaaafffffffffffffffffffg eaa bdaaaffffffffffffffffffffg aaa aaafffffffffffffffffffffg aae aaaffffffffffffffffffffffg aaa ec eaagggggggggggggggggggggggf caaaac cae e eaaaac aac caaaae aa caaaaa aa eaaaac cae eaaaac aac caaaae aa caaaae aa eaaaac cae eaaaac aac caaaae aa caaaae aa eaaaaccae eaaaaac caaa cc ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#c31c63ff b,#470f4dff c,#c0aac0ff d,#6a3e70ff e,#d04d85ff f,#efdae5ff g,#957599ff ``` ```image fdbbbbc eaaaa dbbbbg eaaaaa gbbbbd eaaaaaa cbbbbdf eaaaaaaa fbbbbbf eaaaaafca fdbbbbc eaaaaaf e dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fdbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fbbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbdf eaaaaaf fbbbbbf eaaaaaf fbbbbbc eaaaaaf dbbbbg eaaaaaf gbbbbd eaaaaaf cbbbbd feaaaaaf cbbbbbf feaaaaef fbbbbbc feaaaaef dbbbbg feaaaaef gbbbbd feaaaaef cbbbbd feaaaaef cbbbbbf feaaaaef fbbbbbc feaaaaef dbbbbg faaaaaef gbbbbd faaaaae cbbbbd faaaaae cbbbbbf faaaaae fbbbbbc faaaaae dbbbbg faaaaae gbbbbg faaaaae bbbbd faaaaae bbbbffaaaaae bbbcfaaaaae bbgfaaaaae ggfaaaaae faaaaae faaaaae aaaaae aaaae ```  This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#c31c63ff b,#460f4dff c,#d8a5bfff d,#6b3f71ff e,#d15187ff f,#ecd8e3ff g,#917095ff ``` ```image cbdf fbbbbbdf bbdgbbbbbdf bbb gbbbbbdf dbb gbbbbbdf cbbf gbbbbbdf fbbc gbbbbbdf bbd gbbbbbdf bbb gbbbbbdf dbb gbbbbbdf cbbf gbbbbbd fbbc gbbg bbd bbb dbb cbb fbbc bbd bbb dbb cbb fbbc bbg bbb dbb gbb fbbc bbg bbb dbb gbb fbbc bbg bbb dbb gbb fbbf bbg bbb dbb gbb fbbf ea bbg eaaa bbd eaaaaa dbb eaaf aae gbb eaaf aac fbbf eaaf faaf bbg eaaf caa bbd eaaf eaa bbb eaaf aaa gbb eaaf aae fbbf eaaf aae bbg eaaf faac bbd eaaf caaf bbb eaaf eaa gbb eaaf aaa cbbf eaaf aaa bbg aaa aae bbd aaa faac bbb aaa caaf gbb aaa eaa cbbfaaa eaa bgaaa aaa aaa aae aaa aaa ec eaa faaaaf cae e eaaaac aac caaaae aa faaaaa aa eaaaaf cae eaaaac aac caaaae aa faaaaa aa eaaaaf cae eaaaac aac caaaae aa faaaae aa aaaaafcaa eaaaaac caaa fc ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#b30fd1ff b,#2712b9ff c,#6a65c3ff d,#d4b1ecff e,#bb63d1ff f,#b1d7b1ff g,#95c897ff ``` ```image dbbc bbbbb cbbbbbbb bbbbbdbbbc cbbbbc bbb dbbbbb cbbb bbbbbd bbbd cbbbbc bbb dbbbbb cbbb bbbbbc bbbd dbbbbb dbbb bbbbbd bbbc cbbbbc bbb dbbbbb dbbb bbbbbe bbbc ebbbbb bbb bbbbbd cbbb cbbbbc bbbd dbbbbb bbb bbbbbd cbbb cbbbbb bbbd bbbbbd dbbb fggggbbbbbcggggggggf bbbc gffcbbbbbffffffffffg bbb gfbbbbbcfffffffffffg dbbb cbbbbbaaaaaaaaaaeeeedddddd bbbc dbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeedd bbb bbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadcbbb dbbbbbaaefffffffffffffffg ddddddeeeeeaaaaaaaaaaaaaaaaaaaaaaaaafbbbcffffffffffg bbbbbdeaaffffffffffffffffg gffffffaaafgbbbffffffffffg cbbbbc aaaffffffffffffffffg gffffffeaaffbbbbfffffffffg dbbbbb aaaffffffffffffffffg gfffffffaaaffbbbgffffffffg bbbbe aaaffffffffffffffffg gfffffffaaaffgbbbffffffffg dbb daaeffffffffffffffffg gfffffffaaafffbbbcfffffffg d eaafffffffffffffffffg gffffffffaaefffbbbfffffffg aaafffffffffffffffffg gffffffffaaafffcbbbffffffg aaafffffffffffffffffg gffffffffaaaffffbbbcfffffg aaafffffffffffffffffg gffffffffeaaeffffbbbfffffg daaefffffffffffffffffg gfffffffffaaaffffcbbbffffg eaaffffffffffffffffffg gfffffffffaaafffffbbbgfffg aaaffffffffffffffffffg gfffffffffeaafffffgbbbfffg aaaffffffffffffffffffg gffffffffffaaafffffbbbgffg aaeffffffffffffffffffg gffffffffffaaafffffgbbcffg daad gffffffffffaaaffffffbbcffg aaa gfffffffffffaaefffffbbbffg aaa gfffffffffffaaafffffbbbffg aaa gfffffffffffaaafffffbbbffg aae gfffffffffffeaaeffffbbbffg eaad gffffffffffffaaaffffcbbffg aaa gffffffffffffaaaffffcbbcfg aaa gffffffffffffeaafffffbbcfg aaa gfffffffffffffaaaffffbbbfg daae gfffffffffffffaaaffffbbbfg eaa gfffffffffffffaaaffffbbbfg aaa gffffffffffffffaaefffbbbfg aaa gffffffffffffffaaafffcbbfg aaa gffffffffffffffaaafffcbbgg daad gffffffffffffffeaaeffgbbcg eaa gfffffffffffffffaaafffbbcg aaa gfffffffffffffffaaafffbbbg aaa gfffffffffffffffeaafffbbbg aaa gffffffffffffffffaaaffbbbg daad gffffffffffffffffaaaffbbbg eaa gffffffffffffffffaaafffffg aaa gfffffffffffffffffaaeffffg aaa gfffffffffffffffffaaaffffg aae gfffffffffffffffffaaaffffg daad gfffffffffffffffffeaaefffg aaa gffffffffffffffffffaaafffg aaa gffffffffffffffffffaaafffg aaa gffffffffffffffffffeaafffg aae fgggggggggggggggggggaaaggf daad aaa aaa aaa aaa daae aaa aaa aae aaa eaa daad aaa aaa aaa aaa eaa ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#b20dd2ff b,#2610b9ff c,#7b6bd3ff d,#e7c4f2ff e,#c547dcff f,#4d1fc1ff g,#cf88e6ff ``` ```image gbbbbbbbbbfg dfbbbbbbbbbc cbbbbbbbbbfd gfbbbbbbbbbc dcbbbbbbbbbcd cbbbbbbbbbfg dfbbbbbbbbbcdddddd cbbbbbbbbbfaaaaaaaaaaaaaaaaaeeeeeeeeg fbbbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa bbbfaaaeddddddddggggggggeeeeeeeeeaaaaa bbfaaaag cgaaaaad gaaaaad eaaaaa aaaaae daaaaag gaaaaad eaaaaa eaaaaa aaaaae aaaaag aaaaad aaaaa aaaae aaaae aaaag aaaad aaaa aaae aaag aaag aaad aaa aae aag aad aad aa ae ```  Area A is clear of intersections, but the search continues. Let's inspect the next region. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#b30dd2ff b,#2711b9ff c,#958bdcff d,#e5d2f4ff e,#c54addff f,#5c4ccaff g,#d49aeaff ``` ```image aaaaaaaaaaaaaaaaaaae bbbbbbf aaaaaaaaaaaaaaaaaaaa gbbbbbbg eeeeeeaaaaaaaaaaaaaag fbbbbbb daaaaae dbbbbbbc aaaaaa cbbbbbbd eaaaaad fbbbbbf gaaaaag dbbbbbbc aaaaae cbbbbbbd eaaaaad fbbbbbf gaaaaag gbbbbbbc daaaaae fbbbbbbd eaaaaa dbbbbbbf gaaaaag cbbbbbbg daaaaae fbbbbbb aaaaaa dbbbbbbc eaaaaad cbbbbbbd gaaaaag fbbbbbf aaaaae dbbbbbbc eaaaaad cbbbbbbd gaaaaag bbbbbbf daaaaae gbbbbbbc eaaaaa fbbbbbbd gaaaaag dbbbbbbf daaaaae cbbbbbbg aaaaaa fbbbbbb eaaaaad dbbbbbbc gaaaaag cbbbbbb aaaaae fbbbbbd eaaaaad cbbbbbg gaaaaag dbbbbbc daaaaae dbbbbbc eaaaaa bbbbbf gaaaaag fbbbbf daaaaae fbbbbb aaaaaa cbbbbbd eaaaaad cbbbbbd gaaaaag gbbbbbc aaaaae dbbbbbc eaaaaad bbbbbf gaaaaag bbbbbf daaaaae fbbbbb eaaaaa fbbbbb gaaaaag cbbbbbd daaaaae gbbbbbg aaaaaa dbbbbbc eaaaaad dbbbbbc gaaaaag bbbbbf aaaaae fbbbbb eaaaaad fbbbbb gaaaaag cbbbbbd daaaaae cbbbbbg eaaaaa gbbbbbc gaaaaag dbbbbbc daaaaae bbbbbf aaaaaa bbbbbf eaaaaad fbbbbb gaaaaag cbbbbbd aaaaae cbbbbbd eaaaaad gbbbbbg gaaaaag dbbbbbc daaaaae bbbbbf eaaaaa bbbbbf gaaaaag fbbbbb daaaaae fbbbbb aaaaaa cbbbbb eaaaaad cbbbbb gaaaaag dbbbbb aaaaae dbbbbb eaaaaad bbbbb gaaaaag fbbbb daaaaae ccgd eaaaaa gaaaaag daaaaae aaaaaa eaaaaad gaaaaag aaaaae eaaaaad gaaaaag daaaaae eaaaaa gaaaaag daaaaae aaaaaa eaaaaad ```  No intersection found in area B, but I won't give up. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#b30dd2ff b,#2711b9ff c,#8d82daff d,#e0caf2ff e,#c64bddff f,#5643c8ff g,#d293e8ff ``` ```image dbbf bbbbbd cbbbbbbb dbbbbbdbbbc fbbbbc bbb gbbbbb cbbb bbbbbg bbbc cbbbbf bbb dbbbbbd fbbb fbbbbc bbbd cbbbbb dbbb bbbbbd fbbf fbbbbf bbbd dbbbbb gbbb bbbbbc bbbc cbbbbb bbb bbbbbd cbbb fbbbbf bbbg dbbbbb dbbb bbbbbc fbbf cbbbbf bbbd dbbbbbd dbbb fbbbbc bbbf gbbbbb bbb bbbbbg cbbb cbbbbbaaaaaaaaeeeeeggggdddd bbbc dbbbbbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeggd bbb fbbbbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagcbbb cbbbbbaag ddddggggeeeeeaaaaaaaaaaaaaaaaaaaaaaaa bbbg bbbbbdeaad aaa dbbb fbbbbf aaa eaad fbbf dbbbbb aaa aae bbbd bbbbc aaa aaa dbbb dbb daag eaa bbbf d eaa daae bbb aaa aaa cbbb aaa aaa bbbc aae gaag bbb gaag aaa fbbb eaa aaa bbbd aaa eaad dbbb aaa aae fbbd aae aaa dbbc gaad eaa bbf eaa daae bbb aaa aaa bbb aaa aaa bbb aae gaag bbb gaad aaa cbb aaa aaa gbbg aaa eaad bbc aaa aae bbf daag aaa bbb eaad eaa bbb aaa daae bbb aaa aaa fbb aaa aaa cbbd daag gaag dbbc eaa aaa bbf aaa aaa bbb aaa eaad bbb aae aae bbb gaag aaa fbb eaa eaa aaa daae aaa aaa aae aaa gaad gaag eaa aaa aaa aaa aaa eaad aae aae gaad aaa aaa eaa aaa daae aaa aaa daag aaa gaad gaag aaa aaa eaa aaa eaa ```

[ "" ]

I'm examining this image closely. My goal: find any and all intersections. There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B.  ```palette Key,Color ,#fefefeff a,#da43dcff b,#d46812ff c,#e291e4ff d,#b1d6b1ff e,#f3eaeeff f,#d89659ff g,#99c794ff ``` ```image bf ebbbbfe efbbbbfe efbbbbfe eeeeeeeeeeefbbbbfeeeeeeeeeeeeee dddddddddddddgfbbbbbgddddddddddg dddddddddddddddddfbbbbfddddddddg dddcddddddddddddddddfbbbbddddddg dddaadddddddddddddddddgbbbbgdddg dddaaddddddddddddddddddddbbbbfdg dddaaddddddddddddddddddddddfbbbb dddaaddddddddddddddddddddddddfbbbbe dddaaddddddddddddddddddddddddddgbbbbf dddaaddddddddddddddddddddddddddg fbbbf dddcadddddddddddddddddcddddddddg fbbbbe ddddadddddddddddddddddaadddddddg ebbbbd ddddacdddddddddddddddcaaaddddddg fbbbf ddddaadddddddddddddddaadaadddddg fbbbbe ddddaadddddddddddddddaaddaaddddg ebbbbd ddddaadddddddddddddddaadddaacddg bbbb ddddaadddddddddddddddaaddddaacdg fbb eeeeaaeeeeeeeeeeeeeeeaceeeeeaac bbe ca cae aaa bb cae ca aaa dbb eac aa aaa bbe ac aa aaa bb aa aa caa dbf aa eac caa bbe aa cae caae bb aa aa eaae fbf aa aa eaae bbe ca aa aac bb cae aa aac fbf eac eac aac bbe ac cae aaa ebb aa aa aaa fbf aa aa aaa bbe aa aa caa ebb aa aa caa fbf aa eac caae bb ca cae eaae ebb cae aa eaae fbf eac aa eaac bb ac aa aac ebb aa aa aac fbf aa eac aaa bb aa cae aaa ebb aa aa aaa bbd ca aa aaa bb cae aa caagggggggggbbggggggggggggggd eae ac caaddddddddbbgdddddddddddddg eac eac gaaddddddddbbdddddddddddddg ac cae gdaadddddddgbbddddddddddddg aa aa gddaacddddddbbgdddddddddddg aa aa gdddaacddddddbbdddddddddddg aa aa gddddaacdddddfbbddddddddddg aa ac gdddddaaadddddbbgdddddddddg ca eac gddddddaaadddddbbdddddddddg cae ca gdddddddaaaddddfbbddddddddg eac aa gddddddddaaaddddbbgdddddddg ac aa gdddddddddaaaddddbbdddddddg aa aa gddddddddddcaadddfbfddddddg aa ac gdddddddddddcaadddbbddddddg aa eac gdddddddddddddaadddbbdddddg aa ca gddddddddddddddaaddfbfddddg aa aa gdddddddddddddddaacdbbddddg ca aa gddddddddddddddddaacdbbdddg cae aa gdddddddddddddddddaaafbfddg eac ac gddddddddddddddddddaaabdddg aceae gdddddddddddddddddddaaadddg aaca gddddddddddddddddddddaaaddg aaaa gdddddddddddddddddddddadddg aaaa gdddddddddddddddddddddddddg aaaa gdddddddddddddddddddddddddg aaac gdddddddddddddddddddddddddg caae eeeeeeeeeeeeeeeeeeeeeeeee caa eaa aa aa e ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#da41ddff b,#d56811ff c,#eda5eeff d,#edc29fff e,#f7daefff f,#e09152ff g,#e370e5ff ``` ```image edfbbbbbbbbbfde edfbbbbbbbbbfde dfbbbbbbbbbfde dfbbbbbbbbbfd dfbbbbbbbbbfe dfbbbbbbbbfd ecce dfbbbbbbbbd aaac dbbbbbbbbfe aaag dfbbbbbbbfd gaag efbbbbbbbfd gaaa edbbbbbbbbde caaa dfbbbbbbbf caaae efbbbbbb caaae edbbbb eaaac dfb eaaac d aaag aaag gaag gaaa caaa ce caaae gaac eaaae aaaag eaaac eaaaaag aaac caaaaaag aaag caaaaaaage gaag gaaaeaaaaae gaaa aaag eaaaaae gaaa aaac eaaaaae caaae eaaac eaaaaae caaae caaae egaaaac eaaac caaa gaaaac eaaac gaaa gaaaac ```  I'll move on to the next area. The intersection must be somewhere. Alright, let's concentrate on the next area. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#da42ddff b,#d56913ff c,#f0b4f1ff d,#eec5a5ff e,#f8e3edff f,#e1965aff g,#e374e5ff ``` ```image aag dbbbbe aaag fbbbf aaaag ebbbbd caaaage dbbbbe caaaaae fbbbf caaaaae ebbbbd eaaaaae dbbbbe eaaaaac fbbbf eaaaaac ebbbbd egaaaac dbbbb gaaaac fbbbf gaaaag ebbbbd gaaaag dbbbb caaaag fbbbf caaaag ebbbbe caaaage dbbbb caaaaae fbbbd eaaaaae ebbbbe eaaaaac dbbbf eaaaaac fbbbd egaaaac ebbbbe gaaaac dbbbf gaaaag fbbbd gaaaag ebbbbe gaaaag fbbbf caaaag bbbbd caaaage ebbbbe caaaaae fbbbf caaaaae bbbbd eaaaaae dbbbbe eaaaaac fbbbf egaaaac bbbbd gaaaac dbbbbe gaaaac fbbbf gaaaag ebbbbd gaaaag dbbbbe caaaag fbbbf caaaagebbbf caaaagdbd caaaaae eaaaaae eaaaaac eaaaaa egaac gc ```  Area B does not contain any intersection points. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#da41ddff b,#d56812ff c,#eeabefff d,#edc09cff e,#f7dfedff f,#e09153ff g,#e372e5ff ``` ```image bf ebbbbf efbbbbf efbbbbfe efbbbbfe efbbbbfe fbbbbf ce fbbbb ag dbbbbd aa ebbbbd aa fbbbf aa dbbbbe aa ebbbbd ga fbbbf ca c dbbbbe cac aa ebbbbd ac caaa fbbbf ag gacaae dbbbbe aa aa eaae ebbbbd aa aa eaac fbbb aa aa aac fbb aa ac aag bbd ga cae aag bb cae ga aaa dbb eac aa aaa bbe ag aa gaa bb ag aa gaa dbf aa eac caa bbe aa cae caae bb aa ga eaae dbf aa aa eaac bbe ga aa aac bb cae ag aag fbf eac eac aag bbe ag cae aaa bb aa ga aaa fbf aa aa gaa bbe aa aa gaa ebb aa ag gaa fbf ga eac caa bb ga cae caae ebb cae ga eaae fbd eac aa eaac bb ag aa aac ebb aa ag aag fbd aa eac aag bb aa cae aaa ebb aa aa aaa bbd ga aa gaa bb ca aa gaa dbb cac ag caa bbd ac eac caae bb ag ca eaae dbb aa aa eaac bbd aa aa aac bb aa aa aag dbb aa ag aag bbe ga eac aaa bb cae ga aaa dbf eac aa gaa bbe ag aa gaa bb ag aa caa dbf aa ag caa bbe aa eac eaae bb aa ga eaae fbf aa aa aac bbe ga aa aag bb cae aa aagfbf eac ag aagb agcac aaa aaga aaa aaaa g aaaa aaaa gaag gaac caa eaa aa aa e ```

[ "" ]

I'm on the case! Let's uncover any intersections hidden in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#73849aff b,#1f1a2aff c,#d4d7ddff d,#a3acbaff e,#4e4c57ff f,#95c796ff g,#b1d7b1ff ``` ```image c b ec ad ge b b b b b e ad da ce b b b b b ec ad ce b b b b b abd ebd ebc ebc bbc bbc bbc bb cbb cbb cbb cbe cbe dbe dbe dbe dbe aba aba aba aba ebd ebd ebd ebd ebg ebc bbc bbc bbc ffffffffffffffff bbc gggggggggggggggg cbb gggggggggggggggg cbbfggggggggggggggg cbbgggggggggggggg gfbbgggggggggggg gggfbbgggggggggg gggggabegggggggg gggggggabegggggg gggggggggabegggg cc gggggggggggagggg caaada gggggggggggggggg caaad a gggggggggggggggg caaad a gggggggggggggggg daaad a gggggggggggggggg daaac a gggggggggggggggg daaac dc gggggggggggggggg daaac dc gggggggggggggggg cdaaac cd ggggggggggdagggg cdaadc a ffffaaaaaaafffff cdaadc a cdaaaadc cdaadc a cdaaaadc caaadc adaaaadc aad cc ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#a0a0a8ff b,#1a1525ff c,#ceced3ff d,#342f3dff e,#46424eff f,#5a5662ff g,#b8b8bfff ``` ```image da bbda cfbbda cfbbda cfbbda cfbbda cfbbeg gebbeg gebbeg gebbeg gebbfc gebbfc adbbfc adbf ac ccgag ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#71829eff b,#1d1828ff c,#c3c7d0ff d,#9ca4b4ff e,#3e3a47ff f,#65616cff g,#e3e5e9ff ``` ```image c b fc ad cf e b b b b eg fc da ge b b b b b fc dd cf e b b b b fbd ebc ebc ebc ebg bbg gbbg gbbg gbbg gbb cbe cbe cbe cbe dbf dbf dbf dbf aba aba fba fbd fbd fbd ebc ebc ebc ebc bbg bbg gbbg gbbg gbb gbe cbe cbe cbe dbe dbf cg d caaada caaad a caaac a caaac a caaac a gdaaac dg gdaaac cc gdaadc gd cd gdaadg a gcdaaadcg gdaadg a gcaaaadcg gdaadg a gdaaaadc caaadg adaaaadc aadg cg ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#bcb35aff b,#9a2833ff c,#d19da2ff d,#ded7b1ff e,#ccc582ff f,#f0ebdbff g,#b25c64ff ``` ```image ff cbbbgf bbbbbbbbgd cbbbbbbbbbbgc dgbbbbbbbbbbc dgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc eaa eaa eaa eaa eaa daa daa daa daa daa daa faa faaf faaf faaf faaf aad aaaaf daaaaa eaaaae aaaaad faaaaaf daaaaa eaaaae aaaaae aaaaad faaaaaf daaaaa eaaaae aaaaad faaaaaf daaaaaf eaaaaa eaaaae aaaaad faaaaaf daaaaa eaaaae aaaaad faaaaad faaaaaf daaaaa eaaaae aaaaad faaaaaf daaaaa eaaaaa eaaaae aaaaad faaaaaaaeeeddfff daaaaaaaaaaaaaaaaaaaaaaa eaaaaaaaaaaaaaaaaaaaaa ffdddeeaaaaa ```

[ "" ]

Time to put on my detective hat and find those intersection points! I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#9bcce9ff b,#81b933ff c,#b0d7b0ff d,#2f95d2ff e,#9acb8eff f,#e8f3efff g,#60aed4ff ``` ```image dg dfd g d a df af ga g ag d fd d d g df a ga af ag g fd d eeeeeedeeeeeeeec d fcccccccdccccccce g fccccccccggccccce a fcccccccccgdcccce af fcccccccccccdccce g fccccccccccccdcce d fcccccccbeccccdce d fcccccccbbcccccgg g fccccccbcbccccccgg a fccccccbcbccccccefd af fcccccbccbcccccce d g fcccccbcceeccccce df d fcccceecccbccccce ga d fccccbccccbccccce ag g fccceeccccbccccce fd a fcccbcccccbccccce d af fcceeccccceecccce df g fccbcccccccbcccce ga d fccecccccccbcccce ag d fcbccccccccbcccce fd g febccccccccbcccce d a bfffffffffcffff df af b e ga g b b ag d b b fd d ef b d g b cf df a cf e ga af b b ag g cc b fd d b b d d fc cf df g b e ga a fe b ag af b b fd g e b d a d b cf df g d b c ga g g b b ag g ff b b fd g g ef b d g d b cf df a d ef fc ga faffgfffffffbff b ag fegcgecccccceecce b f fcgcgcccccccbccce b fcgcdcccccceeccce c fcgcdccccccbcccce fc fcgcgccccccecccce b fccgccccccbccccce b fccdccccccbccccce b fccdcccccbcccccce e fccdcccccbcccccce fc fccgccccbccccccce b fcccccccbccccccce b fccccccbcccccccce ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fccccccbcccccccce fccccceecccccccce fcccccbccccccccce fcccceeccccccccce fccccbcccccccccce fccceecccccccccce fcccbccccccccccce fccceccccccccccce eebeeeeeeeeeeeec e b ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#a7d2ecff b,#a0ca63ff c,#c5dea0ff d,#2d94d2ff e,#7fb82dff f,#e1efe6ff g,#6ab3dfff ``` ```image ad fda eb ad adf cef ad ad eb ad gg cec ad dg be ad fda fec adfadf be adfgd fec adfgg be adfdg fec adada bef adgdf feb fdgd cef fddg eb fdda cef fdda eb fddf cef fdd eb fdg cec fda be af fec be fec be fec bef feb cef eb cef eb cef eb cec be fec be fec be fec bef ```  The lines within area A do not intersect. Now, let's scrutinize the next spot. I'm going to scrutinize area B for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#c0dff1ff b,#9fc962ff c,#c0dc98ff d,#399ad4ff e,#7eb72cff f,#e0eecdff g,#75b9e1ff ``` ```image gdg add adda adda gdg gdg add adda adda gdg gdg ce add eef adda ceec adda bbeb gd fecbe g be ce fec fef be ec fec eb be be fec ce cef fef eb ec cef eb eb be cef ce eb fef cef ec bb eb fec be be ce fec fef be ec fec eb be bb fec ce cef fef eb fec cef eb eb bb ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; B: 0; 0 + 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#9bcce9ff b,#9bc75bff c,#c3de9dff d,#2f95d2ff e,#7db72aff f,#dbeceaff g,#5dacdcff ``` ```image dg dfd g d a df af ga g ag d fd d d g df a ga af ag g fd d d d df g ga a ag af fd g d d ec df d bb ga g b e ag a e e fd af b b d g e ff df d cf b ga d e e ag g cc e fd a e b d af fc cf df g e b ga d fc e ag d e e fd g b b d a e cf df af b b ga g b e ag d e e fd d b b d g e cf df a cf c ga af e e ag g cc e fd d e b d d fc cf df g e c ga a fc e ag af e e fd g b b d a d e cf df g d b c ga g g b e ag g ff e e fd g g b e d g d e c df a d cf c ga a g e e ag a ff cf e f a g e e a d fc c afd e fc afa fc b faf e e fd b e fd e c fd b fc fa b b e e b bbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbb e cf e cf e fc e fc e b e ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#49ac95ff b,#56766dff c,#a4d3c8ff d,#dcebe7ff e,#79948bff f,#b0d6b0ff g,#8ec3a1ff ``` ```image d dbe fbbe cbbe dbbb dbbb dbbb gggggggggggggggf bbbfffffffffffffffg bbbffffffffffffffg bbbfffffffffffffg bbbffffffffffffg fbbbgffffffffffg ffbbbgfffffffffg fffbbbgffffffffg ffffebbefffffffg fffffebbeffffffg ffffffebbefffffg fffffffgbbbffffg ffffffffgbbbfffg fffffffffgbbbffg ffffaafffffbbbfg fffgaaffffffbbbg fffgaafffffffbbb fffaaaffffffffbbb fffaaafffffffffbbb gffaaagffffffffgbbbd aaac bbbd gd aaac bbb ebbb aaag bbe dbbbbbd aaaa dbbd cbbbbb aaaa ebb fbbbbe aaaa bbe ebbbbf aaaa dbbd ebbbbc aaaa ebb dbbbbbd daaaa bbe dbbbbe daaaad dbbd fbbbbe caaaac ebb gbbbbg caggag bbe ebbbbc gaccaa dbbd dbbbbbd aacdaa ebb dbbbbb aad aa bbe fbbbbe aad aa dbbd gbbbbg aa aa ebb ebbbbf aa aa bbe bbbbbd gaa aad dbbbbbbbd aad aac ebbbe daa gag bg aac caa aa daa aaa aa cc aa aa caaaaaa caa aa caaaaaaaaaac aad aa caaaaaaaaaacd daa aad caaaaaaaaaacd aac aac caaaaaaaaaacd aa gag caaaaaaaaaacd aaa caa dcaaaaaaaaaacd aa daa dcaaaaaaaaaacd caa aa dcaaaaaaaaaacd aad aa dcaaaaaaaaaacd daa aa aaaaaaaaaacd aac aa aaaaaacd aa aad aad aaa aac daa aa gag aag caa caa aa aad daa daa daa aa aag cag aa aa aa daa aa gag aad aad aac aa gaggaa caaaad daaaa aaaa aaad aaa aaa aad c ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#49ab95ff b,#55766dff c,#9dbeb6ff d,#c1d4d0ff e,#86a49cff f,#6d8982ff g,#e6ecebff ``` ```image c be bbe bbbe bbbbfg bbbbbfg dbbbbbfg dbbbbbfg dbbbbbfg gbbbbbbd gfbbbbbd gfbbbbbd gfbbbbbd gfbbbbbc ebbbbbc ebbbbbc ebbbbbe ebbbbbe cbbbbbe cbbbbbfg dbbbbbfg dbbbbbfg dbbbbbfg dbbbbbbg g gbbbbbbd caad gfbbbbbd gaaaa gfbbbbbd daaaag gfbbbbbd daaaag gfbbbbbc daaaad ebbbbb caaaad ebbbb caaaac ebbb caaaac cbb eaaaae cb aaaaaa c aaaaaa aaaaaag ```  Area A is clear of intersections, but the search continues. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#47ab94ff b,#56766eff c,#9fcdc3ff d,#cce1dcff e,#809891ff f,#67b9a6ff g,#e9f1efff ``` ```image g gbe cbbe dbbb dbbb gbbb gbbb bbb bbb bbbg bbbg bbbd bbbd ebbc ebbc ebbe cbbe cbbe dbbb g dbbb gaa gbbb daa gbbb caa bbb faa bbb faa bbbg aaag bbbg aaad bbbg eg aaac bbb ebbb aaaf bbe gbbbbbd aaaa gbbg dbbbbbg aaaa ebb cbbbbe aaaa bbe ebbbbc aaaa gbbg ebbbbd aaaa ebb gbbbbbg gaaaag bbe dbbbbbg daaaad dbbg cbbbbe caffac ebb ebbbbc cafcaf bbe ebbbbc facdaa dbbg gbbbbbd facgaa ebb dbbbbbg aad aa bbe cbbbbe aag aa dbbg ebbbbe aa aa ebb ebbbbc aa aag bbe gbbbbbd caa aad dbbbbbbbg aad fac ebbbe daa caf be aac caa gaa gaa faf aa cd aa aa cfaaaaf caa aa cfaaaaaaaaac aad aa gcfaaaaaaaaacg daa aad gcfaaaaaaaaacg aac fac gcfaaaaaaaaacg aa caf gcfaaaaaaaaacg faf caa gcfaaaaaaaaacg aa daa gcfaaaaaaaaacg caa aa gcaaaaaaaaaacg aad aa gcaaaaaaaaaacg daa aa aaaaaaaaaacg aac aa aaaaafcg aa aad aag faf fac daa aag faf fac caa caf aa aad daa gaa daa aa faf dac aa aag aa gaa aa faf aad aag aacgaa facfaf cafaag daaaa aaaf aaad aaa aaa aad gc ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#2fedd5ff b,#dbb190ff c,#93f5e8ff d,#f3e7ddff e,#ccfaf4ff f,#5cf0ddff g,#e8ceb9ff ``` ```image ddggbbbbbbbb ddggbbbbbbbbbbbbbbbbbbbb ddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdd dggbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdd bbbbbbbbbbbbbbbbbbbbggdd dbbbbbbbbbggdd gbbbb bbbbd dbbbb gbbbb bbbbd bbbb gbbbb bbbbg bbbb gbbbb bbbbg bbbb gbbbb bbbbg bbbb fe dbbbb caaa bbbbg eaaaaa bbbbd aaaaae dbbbb faaaac bbbbg caaaaf bbbbd eaaaaa dbbbb aaaaae gbbbg faaaac bbbbd caaaaf bbbb eaaaaa bg aaaaae aaaaac faaaaf caaaaa eaaaaa aaaaae faaaac eaaaaf caaaa faaae aaaa aaaa eaaaf caaac faaae aaaa aaaa eaaaa caaaf faaae aaaa aaaa eaaaa caaaf faaac aaaae aaaa eaaaa caaaf faaac aaaae aaaa eaaaa eaaaf faaac aaaae aaaa aaaa eaaaf caaac faaae aaaa aaaa eaaaf caaac faaae aaaa aaaa aaaf ac ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#06503eff b,#49f5ccff c,#749d93ff d,#acd4afff e,#8bf6daff f,#e1f2ecff g,#3f786aff ``` ```image cc gaag daaaa aaaaa aaaaaac aaaaaaaa caaaagaaa faaaa faaa aaaaf aaac aaaac aaaa gaaaa gaaa daaaa faaa aaaaf aaac aaaad aaaa gaaag caaa caaaa faaa faaaa aaac aaaad aaaa aaaag caaa gaaaa faaa daaaa aaac aaaaf aaaa aaaac caaa gaaag faaaf daaaa aaac faaaa aaaa aaaad caaa aaaag faaaf caaaa aaac faaaa aaaa aaaaf caaa aaaac faaaf gaaaa aaac daaaa aaaa faaaa caaa caa aaaad faaaf caaad aaaag aaac caaaag caaaa aad caaaaaa faaaa caaaaaaa aaaaf caaaagaaa aaaac gaaaaddaaa gaaaa gaaaad aaa daaaa gaaaaf aaad aaaaf gaaaaf aaac aaaad gaaaaf aaag aaaag gaaaaf aaaa caaaa gaaaaf gaaa faaaa gaaaaf caaa aaaaf gaaaaf faaa aaaac gaaaaf aaaf gaaaa gaaaaf aaad daaaa aaaaaf aaac aaaaf aaaaaf aaag aaaad aaaaa aaaa gaaag aaaaa caaacaaaa aaaaa daaaaaaa ebbbf aaaaa faaaaaad ebbbbbbbf gaaaa aaaaac bbbbbbbbbbbbe gaa dddaaaaadddddddd fbbbbbbbbebbbbbbbb g fdddaaaaddddddddd fbbbbbbbb ebbbbbbbbf fdddgaaddddddddddebbbbbbbb fbbbbbbbbe fddddddddddddddebbbbbbbe bbbbbbbbe fddddddddddddbbbbbbbbe ebbbbbbbb fddddddddddbbbbbbbbf fbbbbbbbbf fddddddddbbbbbbbbf fbbbbbbbbe fddddddbbbbbbbbdd ebbbbbbbe fdddebbbbbbbbdddd ebbbbbbbbf fdebbbbbbbbdddddd fbbbbbbbbf ebbbbbbbedddddddd bbbbbbbbe ebbbbbbbedddddddddd ebbbbbe bbbbbbbbddddddddddddd ebbb fbbbbbbbbddddddddddddddd fe fbbbbbbbbfdddddddddddddddd ebbbbbbbe fdddddddddddddddd ebbbbbbbe fdddddddddddddddd ebbbbbbbe fffffffffffffff bbbbbbbbf fbbbbbbbbf fbbbbbbbb bbbbbb bbbe fe ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#06503eff b,#48f6ccff c,#78a097ff d,#a8f4e2ff e,#7bf8daff f,#ddf9f3ff g,#357162ff ``` ```image gaaaaaaaaag caaaaaaaaaf caaaaaaaad daaaaaaac faaaaaag caaaagf cggcf fdb febbb febbbbb febbbbbbb debbbbbbbbb dbbbbbbbbbbbb fdbbbbbbbbbbbbbb febbbbbbbbbbbbbbbe febbbbbbbbbbbbbbbdf febbbbbbbbbbbbbbbd debbbbbbbbbbbbbbbd dbbbbbbbbbbbbbbbed dbbbbbbbbbbbbbbbef fdbbbbbbbbbbbbbbbef bbbbbbbbbbbbbbbdf bbbbbbbbbbbbbd bbbbbbbbbbbd bbbbbbbbed bbbbbbef bbbbef bbef df ```  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

```palette Key,Color ,#fefefeff a,#06503eff b,#49f6ccff c,#729b91ff d,#b0c7c1ff e,#8ff9dfff f,#d9f0ebff g,#397365ff ``` ```image cc gaag daaaa aaaaa aaaaaac gaaaaaaa caaaagaaa faaaa faaa aaaaf aaac aaaac aaaa gaaaa caaa daaaa faaa aaaaf aaac aaaad aaaa gaaag caaa caaaa faaa faaaa aaac aaaad aaaa aaaac caaa caaaa faaa daaaa aaac aaaaf aaaa aaaac caaa gaaag faaa daaaa aaac faaaa aaaa aaaad caaa aaaag faaaf caaaa aaac faaaa aaaa aaaaf caaa aaaac faaaf gaaag aaac daaaa aaaa faaaa caaa caa aaaad faaaf caaad aaaag aaac caaaag caaaa aad caaaaaa faaaa caaaaaaa aaaaf caaaagaaa aaaac caaaaddaaa gaaaa gaaaad aaa daaaa gaaaad aaad aaaa gaaaaf aaac aaaad gaaaaf aaag gaaag gaaaaf aaaa caaaa gaaaaf gaaa faaaa gaaaaf caaa aaaaf gaaaaf faaa aaaac gaaaaf aaaf gaaaa gaaaaf aaad daaaa aaaaaf aaac aaaaf aaaaa aaag aaaad aaaaa gaaa gaaag aaaaa caaacaaaa aaaaa daaaaaaa ebbbf aaaaa faaaaaad ebbbbbbbf gaaaa aaaaac bbbbbbbbbbbbe gaa aaaaa fbbbbbbbbebbbbbbbb g aaaa fbbbbbbbb ebbbbbbbbf caaf ebbbbbbbb fbbbbbbbbe ebbbbbbbe bbbbbbbbe ebbbbbbbe ebbbbbbbb bbbbbbbbf fbbbbbbbbf bbbbbbbbf fbbbbbbbbe fbbbbbbbb ebbbbbbbe fbbbbbbbb ebbbbbbbbf ebbbbbbbe fbbbbbbbbf ebbbbbbbe bbbbbbbbe bbbbbbbbe ebbbbbe bbbbbbbbf ebbb fbbbbbbbbf fe fbbbbbbbb ebbbbbbbe ebbbbbbbe ebbbbbbbe bbbbbbbbf fbbbbbbbbf fbbbbbbbb bbbbbb bbbe e ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#25b539ff b,#0b6d43ff c,#91cba2ff d,#5fae7cff e,#b8dec2ff f,#deefe4ff g,#328460ff ``` ```image a aaa aaaae aaaaf faaaa eaaaa caaaa daaaa aaaad aaaac aaaae aaaaf faaaaf faaaa c eaaaa eaa caaaa aaaa daaaa eaaaae aaaad aaaad aaaac aaaaa aaaae caaaaf aaaaf faaaac faaaa aaaaa eaaaa daaaa caaaa eaaaae daaaa bd aaaad aaaad bbbf aaaaa aaaac cbbbg caaaaf aaaae bbbbb faaaac aaaaf dbbbbbe aaaaa faaaaf bbbebbb daaaaf faaaa bbbg bbb eaaaae eaaaa ebbb dbbd aaaad caaaa bbbc bbb aaaaa daaaa dbbb bbbf caaaaf aaaad bbbf cbbg faaaad aaaac gbbg bbb aaaaa aaaae fbbb gbbc daaaaf aaaaf bbbd fbbb eaaaac faaaa cbbb bbb aaaad eaaaa bbbe dbbd aaaaacaaaa dbbb bbb caaaaaaa bbb bbbf faaaad bbbg cbbg aac ebbb bbb bbbc gbbc dbbb fbbb bbbf bbb gbbg dbbd fbbb bbb bbbd bbbf cbbb ebbg bbbe bbb dbbb gbbc bbb fbbb bbbg bbb c ebbb dbd cbb bbbc bbbbc dbbb ebbbbb bbbf gbbbbc gbbg ebbbbb fbbb gbbbbd bbbd ebbbbb cbbb gbbbbd bbbe fbbbbb dbbb gbbbbd bbb fbbbbbf bbbg gbbbbd ebbb fbbbbbf bbbc gbbbbd dbbb fbbbbbf fbbbf dbbbbd bbbd fbbbbbf bbbb dbbbbg dbbb fbbbbbf fbbbe dbbbbg bbbg fbbbbb gbbb dbbbbc cbbb fbbbbbbbbc gbbbbbg ebbbb bb ```

[ "" ]

This image seems promising for intersection detection. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#2947d3ff b,#e5e4b4ff c,#5d74dbff d,#9ca9eaff e,#cbc96aff f,#add4adff g,#d6dcf6ff ``` ```image gg cccaaaaaaaaaaaaccdddgg a ggdddcccaaaaaaaaaaaaccd ag ggcd dc gc a a cd a a a dd a a cg a dd a gc dd a a a a a a a dd cg a dd a gc ga a cd a a a a gc cg a a gc cg a a dc cg a a dd a a a dd e a be a be a eb dd eb a be a ee gc eb cd be a ee a eb gc be cg ee a eb a e gc be cg ee a eb ad be gag ee da eb ca be cc ee ad eb ag e gag be da ee ca eb ac be ad ee fffffffffaffffff eb ffffffffafffffff be ffffffcaffffffff ee fffffcafffffffff eb ffffacffffffffff beee fffacfffffffffff beeeeeb ffafffffffffffff bbeeeeb faffffffffffffffbeeeebb ffffffffffeeeeeeb fffffeeeeeffffff feeeefffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffff ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#2c49d4ff b,#dcdb9aff c,#5a70ddff d,#97a6e9ff e,#cbc866ff f,#edeccbff g,#d5dbf6ff ``` ```image daad caag gcaag gaac gaac daad daad caag gcacg gaac gaac daad daad caag gcacg ac g ffbbee fbbeeeeeeee ffbeeeeeeeebbff ffbbeeeeeeebbff fbbeeeeeeeebff eeeeebbff bff ```  No luck this time. Area A doesn't have an intersection. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#2947d3ff b,#d9d790ff c,#5d73ddff d,#9ca9eaff e,#cbc865ff f,#ecebc7ff g,#d6dbf6ff ``` ```image gg cccaaaaaaaaaaaaccdddgg a ggdddcccaaaaaaaaaaaaccd ag ggcd dc gc a a cd a a a dd a a cg a dd a gc dd a a a a a a a dd cg a dd a gc ga a cd a a a a gc cg a a gc cg a a dc cg a a dd a a a dd e a fe a be a eb dd ef a be a eb gc ef cd fe a ee a ef gc fe cg be a eb a fef gc be cg eb a ef ad fe gag ee da ef ca fe cc be ad eb ag fef gag be da eb ca ef ac fe ad ee ag ef ga fe da be ca eb ac fbeef ad fbeeebf ag fbeeeebf a fbeeeebf feeeebf fbeeebf eeef ```

[ "" ]

This image seems promising for intersection detection. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#f9a327ff b,#99be9fff c,#fcd7a2ff d,#b1d5b1ff e,#efefe6ff f,#778891ff g,#f2bb62ff ``` ```image e a a ac gag cag ea a a a a cg a a gg a ea a ea gc gc ae a a a cc ac gc a ea ea a cg a a ac ge a ac a a a eeeeeeeeeeeeca ae a gc bddddddddddddadb a cg cg bdddddddddddagdb ae ae a bddddddddddgaddb ea a a bddddddddddadddb ae a a bdddddddddaddddb ea cc ge bddddddddgaddddb a a cg bddddddddadddddb ca a a bdddddddaddddddb a ea a bddddddgaddddddb cg gc a bddddddadddddddb a a ae bdddddaddddddddb cg a cc bddddggddddddddb a cg ea bddddadddddddddb gg ge a bdddadddddddfbdb a a a bddggdddddddffdb gc a a bddaddddddddfbfb a cg gc bdaddddddddbfdfb gc ae cg bagddddddddfbddf a a a babbbbbbbbbfbbbfd ac a a a f f a cc a ac f ef ae a ge ea dd fe ea a cg a fe f ae ea a ac f bb ea gc a ca f f a a a a ef ef ea a ae ac dd fd a cg gc ca f f ca ge eg a f df a eeeeeeaeeeee a ac f fe cg ddddddaddddbe a ca ef f a dddddggddddde a a bd bd cg dddddadddddde gc ae f f a dddddadddddde cgcg f ef gg dddddadddddde aa f fe a ddddggdddddde ae eb f gc ddddaddddddde be db a ddddaddddddde f fe gc ddddaddddddde f ef a dddggddddddde f fd g dddadddddddde db f dddddddddddde fe df dddddddddddde f fe dddddddddddde f f dddddddddddde f bb dddfbddddddde dd f dddbbfffffbbe fe ef dddddddddbbffffbde f fd eeeeeeeeeeee ebffffbd f f ebffffbe ef df ebffffbe dd fe dbffffbef ef dbf bd f ef fe f bb f ef fd f df fe f bb f ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#faa328ff b,#a0abb2ff c,#fcd7a2ff d,#c9d0d3ff e,#f5ecddff f,#758690ff g,#fbbe67ff ``` ```image cag gac aae eaa cag gac aae eaa cag gac aa eag cac gae aa cag gac aae eaa cag gac aae eaa ee bbdde effffffbbdde edbbffffffffbbdde edbbfffffff edbbf ```  It's a shame, but area A doesn't contain an intersection. Okay, let's proceed to the next area. This close-up might reveal an intersection in area B.  ```palette Key,Color ,#fefefeff a,#faa226ff b,#b8c0c5ff c,#fcdbacff d,#fbc577ff e,#f7eee0ff f,#788992ff g,#fab451ff ``` ```image eaac dag caae eaac gad caae eaac gad caa eaac gad cag eaae gad dag eaae gad dag eaae gac dag caae aac dag caae eaac dag bb caae effb eaac bfff gad bfffb caae ffbffe eaac ff bff gad eff ffb caa bfb eff eaac bfb bf gad ffe ef ```  Unfortunately, there's no intersection inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#faa226ff b,#9faab1ff c,#fcd49bff d,#c8ced2ff e,#f6ebdaff f,#768690ff g,#faba5fff ``` ```image e a a ae gag cag ea a a a a cg a a gg a ea a ea gc gc ae a a a cc gc gc a ea ea a eg a a gc ge a ac a a a ca ae a gc a a cg eg ac ae ae a ca ea a a a a a a ae ea cc ge ca a a cg a ea a a ae a ea a cg cg gc a a a a ae ae cg a cc gg a eg eg ea gg ge a ae fd a a a gg ff gc a a ea fdb a cg gc a db f gc ae eg gg be f a a a ea f bd ae a a a f f a cc a gc f df ae a ge ea db fe a a cc a fe f ae ea a ac f bb ea gc a ca f f a a a a ef ef ea a a ac bd fd a eg cc ca f f ca ge eg a f df a a a ae f fe cg a a ca eb f a cg a a bd bb cg ae gc ae f f a a cgcg f df gc a aa f fd a cc ae db f gc a bd bb a a f f gc ea f ef a gc f fd g a db f be df f fe f f f bb bde db f edffffbd fe ef ebffffbd f fd dbffffbd f f dbffffbd ef db dbffffbd bd fe dbffffbdf f dbf bb f df fd f bb f ef fd f df fe f bb f ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#242c87ff b,#cf442fff c,#9da1c9ff d,#e9aca3ff e,#db7667ff f,#6066a8ff g,#e1d7e0ff ``` ```image afccg aaaaaaaaaaafccg gcfaaaaaaaaaaaaafccg gcfaaaaaaaaaa gcac aa cag aa fa ac aa ca af aa gag ag aa aa fa aa af aa aa aa gag aa aa aa fa aa ac aag aa aag ca aag af aag aa aag gac aag aa aag ca aag af aag aa aag gag aag aa aac fa aac ac aac aa aac ca aac af aac fa aac gac aac aa aac ca fac af faf aa faf gag faf aa faf fa faf aaaf aaf gc d debbbbbd debbbbbbbedg debbbbbbbedg gebbbbbbbbdg gebbbbbbbbeg gdbbbbbbbbeg bd gdebbbbbbbed bb gdebbbbbbbed eb debbbbbbbed bd gbbbbed bb bbbg eb ebbd gbg dbbe be gbbb bb bbbg gb ebbd be dbbe bb gbbb db bbbg be ebbd bbbbe dbb ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4404ff c,#98ca8bff d,#edf3e8ff e,#c38d63ff f,#6eba4dff g,#b2d7b0ff ``` ```image dbbe eg gbbbbbb ccebbbbbbecc ebbbbbbed ggcebbbbbbbbbbed gcccccccccbbbbbbbe gggggggcebbbbbbbbbbed cgggggcbbbbbbbegd ggggggggggggdebbbbbbbbbbeg cggebbbbbbbcggggd ggggggggggggd gebbbbbbbbbeg ebbbbbbeggggggggd ggggggggggggd gebbbbbbbbbeg debbbbbbegggggggggggd ggggggggggggd gebbbbbbbbbbed gbbbbbbbcgggfggggggggggd gggcggggggggd debbbbbbbbbbed ebbbbbbed cgggaaafggggggggd ggfaagggggggd debbbbbbbbbbbbbbbe cgggaaaaacggggggd gggaaaggggggd debbbbbbbe cgggaacaaaagggggd ggggaaagggggd d cgggaaggfaaafgggd ggggcaafggggd cggcaaggggaaaacgd gggggcaafgggd cggfaagggggcaaaad ggggggcaafggd cggaafgggggggfaaac gggggggfaacgd cggaacgggggggggaaaad ggggggggfaacd cggaaggggggggggggaaaa gggggggggfaad cggaagggggggggggd faaac ggggggggggaaad cggaagggggggggggd aaf gggggggggggaaa cgcaagggggggggggd g ddddddddddddaaa cgfafggggggggggcd aaa daagddddddddddd aaa aad aaa aa aaa aa daaa daa daaf caf daaf fac gaac aad gaac aa caag aa faag daa faad gaa faad faf aaa aag aaa aa aaa aa aaf aa daad gaa faa caf aaf fac daad aad faa aa aac aa gaa daa aaa gaa aag fac caa aag aaf aa daad aa faa aa aaf gaa daad caf faa aac aac aad gaa aa aaa aa aag daa caa gaa aaf fac daad aag faa aa aaf aa daad aa faa gaa aac caf gaa aag aaa aad aag aa caa aa aaf daa daad caa faa fac aaf aag daadaa faaaa aaaa gaaa aaf c ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4203ff c,#add899ff d,#e4e8d4ff e,#dcb096ff f,#6cba48ff g,#c47a4dff ``` ```image dbbbbbbgged ebbbbbbbbbbbgged ebbbbbbbbbbbbbbbbbg deggbbbbbbbbbbbbbbb deggbbbbbbbbbb deegbbbbb deeg cc caad caaaad faaaaad faaaaad faaaafd dfaaaaf daaaaaf daaaaaf daaaaaf daaaaaf caaaaac caaaaac caaaaac caaaaac caaaaac faaaaad faaaaa faaaa faaa faa dfa ```  It's a shame, but area A doesn't contain an intersection. Alright, let's concentrate on the next area. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4304ff c,#9cd084ff d,#e8eddcff e,#ca875eff f,#70bb4dff g,#d1d4b1ff ``` ```image dgebbbbbbbbbb deebbbbbbbbbbbbe gebbbbbbbbbbbbbeg gebbbbbbbbbbbbbeg dgebbbbbbbbbbbbeed deebbbbbbbbbbbbegd ebbbbbbbbbbbbbeg bbbbbbbbbbbeg bbbbbbbeed bbbbegd beg ccg caaafd aaaaaac daaaaaaaag gaaaaaaaaafd caaaaaaaaaaac caaafgfaaaaaaag faaac caaaaaaafd aaaac dfaaaaaaac aaaag gfaaaaaaag daaaad caaaaaaafd gaaaa dfaaaaaaac caaaf gfaaaaaaa faaaf caaaaaa faaac dfaaaa aaaag gfaa daaaad ca gaaaa d caaaa caaaf faaac aaaac aaaag daaaad gaaaa caaaf faaaf ```  No intersection in area B, but I'll keep looking. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#42a613ff b,#ac4303ff c,#9fd288ff d,#dae3c8ff e,#d5a081ff f,#6fbb4cff g,#bf6e3dff ``` ```image dgbe ge ebbbbbb dbbbbbge ebbbbbbg debbbbbbbbbbed gbbbbbbe debbbbbbbbbbed dgbbbbbbd egbbbbbbbbbgd ebbbbbbgd egbbbbbbbbbgd ebbbbbbe dgbbbbbbbbbge dgbbbbbbe dgbbbbbbbbbge dbbbbbbbd c c debbbbbbbbbbed ebbbbbbgd aaac caa debbbbbbbbbbbbbbbe aaaaad aaa egbbbbbbe aadaaaa aaf d aa faaac daaf daa aaaad daac caf daaaa caac fac faaac caac aad aaaad faad aa daaaa faad aa faaac faa aa aaf aaa caa d aaa faf aaa aad aaa aa aaa aa aaa aa aaa daa aaf caf daaf fac daac aad caac aa caad aa faad aa faad caa faa faf aaa aad aaa aa aaa aa aaf aa aad daa faa caf aaf fac daa aad faa aa aac aa daa aa aaa caa aad fac caa aad aaf aa aad aa faa aa aaf daa daa caf faa aac aac aad daa aa aaa aa aad daa caa caa aaf fac aad aad faa aa aaf aa daa aa faa daa aac caf daa aac aaa aad aad aa caa aa aaf daa aad caa faa fac aaf aad daa aa faaaa aaaa daaa aaf c ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#3ca727ff b,#93c882ff c,#daecd5ff d,#4b9622ff e,#b6d8a9ff f,#79b962ff g,#57ac3fff ``` ```image c fddddddfbec gdddddddddddddddgfec cebgddddddddddddddddddddddfbe cebfddddddddddddddddddddddgbec cefgdddddddddddddddddddddgfec cebgddddddddddddddddddddddfbec ebfddddddddddddddddddddddgbec cebgdddddddddddddddddddddgfb cebfdddddddddddddddd cefgddddddb ddd fddc ddd ddd cddf ddd bdde ddd gdd ddg baagbc ddd gaaaaaaaagbc edde bgaaaaaaaaaaaaagbc ddd cbgaaaaaaaaaaaaac fdd cbgaaaaaaaaf e cbaaaaa caaaab gaaaa caaaae gaaag eaaaac aaaag baaaac aaaaf faaaa caaaab gaaaa eaaaae aaaag baaaac aaaaf faaaa caaaab gaaaa caaaae gaaag eaaaac aaaag baaaac aaaaf faaaa caaaab gaaaa eaaaae aaaag baaaac aaaaf faaaa caaaab gaaaa caaaae gaaac eaag aaa eaae aaa gaa caaf aaa faac aag aaa eaae aaa gaa caab aaa faac aag aaa eaf ```

[ "" ]

Based on a first glance, I suspect there could be intersection regions here. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#fe1a97ff b,#ee67b0ff c,#d82d8aff d,#f9a6d3ff e,#f8e4eeff f,#b1d6b0ff g,#96c895ff ``` ```image d daa eaaa aaa aaae baad eaaa aaa aaa baad daab e aaa daa aaa baaa aaae baab daab aaab eaaa aaab aaa aaab aaae aaab baad aaad eaaa aaad aaa aaad aaa aaad aaad aaae daab aaae eaaa aaae aaa aaae aaae aaae baad eaaa eaaa eaaa aaa eaaa aaa eaaa baad eaaa daab daaa aaa daaa aaa daaa aaae daaa daab daaa eaaa baaa aaa baaa aaae baaa baad baaa eaaa baab aaa aaab aaa aaab baad aaab daab aaab eaaa aaad aaa aaad aaae aaad baad aaad eaaa ggggggaaagaaaggf efffffffaaaaafffg eccb effffffffaaabfffg dccccccce efffffffffabffffg bcccccbcccccd efffffffffffffffg ecccccce dcccccbefffffffffffffffg dcccccb eccccccffffffffffffffg bcccccd bcccccffffffffffffg ecccccce bcccccffffffffffg dcccccb efbcccccbfffffffg bcccccd effffccccccfffffg bcccce effffffccccccfffg cb effffffffbcccccfg effffffffffbcccccb efffffffffffffcccccb efffffffffffffffcccccce efffffffffffffffg bcccccd efffffffffffffffg dcccccb efffffffffffffffg ecccccb efffffffffffffffg cccccce efffffffffffffffg bcccccd gggggggggggggggf dcccccb ecccccb cccccce bcccccd dcccccb ecccccb cccccce bcccccd dcccc ecd ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#fe1896ff b,#f16eb5ff c,#d92b8aff d,#f3b6d7ff e,#fadaebff f,#e2479cff g,#ef92c5ff ``` ```image gaaaaaad faaaaae gaaaaaaebaaaaag baaaaaaaaaaab baaaaaaaaaf baaaaaaaae baaaaaad baaaab baab ee be ccfd ccccfg cccccccge cccccccccbe bccccccccccfd egfcccccccccfg dfccccccccccge dbccccccccccbe ebccccccccccfd egfcccccccccfg dfccccccccccge dbccccccccccbe ebccccccccccfd egfccccccccc dfccccccc dbccccc ebccc egf ```  Based on this close-up, I can conclude that there's no intersection in area A. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#fe1896ff b,#f57abdff c,#d92c8aff d,#f7acd5ff e,#fbdcedff f,#fe41a8ff g,#e057a2ff ``` ```image d daf eaaa aaa aaae baab eaaf aaa aaa faad daaf e aaa daf aaa faaf faae faaf baab faaf eaaa faab aaa aaab aaae aaab baad aaab eaaf aaad aaa aaad aaa aaad faad aaae daaf aaae eaaa aaae aaa aaae aaae aaae baab aaa eaaf eaaa aaa eaaa aaa eaaa faad eaaa daaf daaa aaa daaa aaa daaa faae daaa baab baaa eaaa baaa aaa baaf aaae faaf baad faaf eaaf faaf aaa faaf aaa faab faad aaab daaf aaab aaa aaab aaa aaad aaae aaad baab aaad eaaf aaaeaaa aaaaa eccg aaad dccccccce ab bcccccbcccccd ecccccce dcccccb dcccccg ecccccg gcccccd gccccce ecccccce bcccccd dcccccg dcccccb gcccccd ecccccg gcccce gccccce cb bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccccb ecccccg gccccce bcccccd dcccc ecd ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#442e71ff b,#729aceff c,#adbcdaff d,#260c5aff e,#69578dff f,#d9ddebff g,#9487adff ``` ```image fc bbbb bb cbbb bb cbbbf bb cbbbf bbf fbbbc bbf fbbbc cbc bbbb cbc bbbb fbb cbbbf fbb cbbbf bb fbbc bb f cbb fbbbbb cbbbbbf fbbbbbc cbbbbbf fbbbbbc fcbbbbbf cbbbbbc fbbbbbcf cbbbbbf fbbbbbc cbbbbbf cbbc bb bb bb bc bf fb fffccgggeeeaadddde cb dddddddddddddddddddddddddddc bb fdeegggccfff dd bb ed dd bb dd fda bc fdc gdg bf ad adf fb da dd cb fdf dd bb ad cda bb da edg bb cdf ddf bc ad dd bf da fdd fb cdf gde cb dd adc bb de dd bb cd dd bb dd fda bc de edg bf gd adf fb dd dd cb de dd bb gd cde bb dd edc bb dg dd bc gd dd cf dd fda dg gde ed adf dd dd dg dd ed cda dd edg fdc ddf ad dd cde fdd dd gde adf adc fde dd dd dd adf fda fde gdg dd adf edf df fda dd edf fda f ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#35b039ff b,#ee80fdff c,#9cd89dff d,#f6c2feff e,#cfecd0ff f,#e746fdff g,#64c267ff ``` ```image ddbb dddbbffffffffffffffd ddbbbfffffffffffffffbbbdd dfffffffffffffffbbddd ffbbdd ff ff ff ff ff ff ff ff ff ff bfd bfd bfd dfd dfb dfb dfb fb c ff aa ff aaaa ff ca ag ff ag eae ff ga ga ff ae aa ff aa aa ff ca ag ff ag cae ff ga ga bf ac aa bfd aa aa bfd ea ac bfd ag cae dfd ga ga dfb ac aa dfb aa aa dfb ea eac ff ag cae ff ca ga ff ac aa d aa ag eae eac aa cae ca ga ac aa aa ag eae eac aa cae ca g ag ga ae aa ca ag ga ae aa ea ag ga ac aa ea ag ga ac aa eae egaaag egaaaage caaaaace caaaaac egaaaagc egaaaage aaage ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#6b9560ff b,#56e720ff c,#b7ddaaff d,#477d3bff e,#daecd4ff f,#95b48eff g,#8def69ff ``` ```image cccceeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggggggccccceeeee eeeeecccccgggggggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gb be cb b e dd dcfd dc df e df d de df fd edd df df caad df d fa df df fd af de df df dc cd df d de ad da fd d df da df d d da d d cd da fd d aa da da d dc da de ed d da cd cd e da da fa da de af dd cd dc dd da de dd de d dd cd d dd da d dd de d dd cd d ad da ed ad de cd ad ed fa ad aa af ad de dc ad ed de ad aa d ad de d ad ed d a ad d dc d ed ed ad cd dc fa ed af ad af dc de ed de add dd d ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#5ddfc8ff b,#2a28faff c,#b8e5ecff d,#0ad1b1ff e,#7377f0ff f,#b0d7b1ff g,#93c89bff ``` ```image c dc cd d dc cd d d aa d d aa d d aa d d aa d d aa d d ac ca cd dd d dcd dc d ad cd d da d ca dc dc ac d cd d cd d d ad dc d da cd cd d d aa cd dc dc ad cd d da d d dc d d d aa aa cd d dc ad d d da aa d d d d cd d cd ad aa aa da d d dc d d d aa d cd d cd ad d aa da aa dc d d d cd d d ad ac d da cd ca dc d ac d dc d cd cd d ad dc d da d cd d cd aa cd da dc ad d d da cd d dc da d d cbbc fgggggdgggggadgggg cd b cbb gffffffdffffdgffff ad be cbb gffffffadfffdfffff dc cb cbb gfffffffdgffdfffff dc bc cbbgffffffffdffdfffff gfffffffffgdffffffff eb ebbfffffffadadfffff gffffffffffadfffffff b gebbffffffddafffff gfffffffffffdaffffff bc gffebbfffffdffffff gffffffffffffdgfffff eb gffffebbffffffffff gfffffffffffffdfffff b gffffffebeffffffff gfffffffffffffadffff bc gffffffffebeffffff gffffffffffffffaffff eb gffffffffffbbeffff gfffffffffffffffffff b gffffffffffffbbeff ccccccceeeeeeeebbbbbbbbbbbbbbbbffff gffffffffffffffbbbbbbbbbbbbbbbbbbbbbbeeeeeeeeeeeeggggfffffffffffff gfffffffffffffffff gfffffffffffffffffff gfffffffffffffffff gfffffffffffffffffff gfffffffffffffffff gfffffffffffffffffff ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#4cddc6ff b,#2723fdff c,#96ebddff d,#09d1b1ff e,#6d6afdff f,#b2b0feff g,#dbe9f8ff ``` ```image cddg cda ada adc gddc ddc cddg ddg add gdd dda cda cddc ada addg adc f dda ddg bbf gddc gdd bbbbf cddgcda fbbbbf adacda fbbbbf gddddc gebbbbf cdddc gebbbef addg gebbbef gda gebbbef gebbbeg gebbbeg gebbbeg gebbbeg gebbbeg febbbeg febbbeg febbbeg fbbbbee fbbbb fee ```  I don't observe any intersections inside area A. Now, let's dive into another area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#57dfc9ff b,#2420fdff c,#a0ede0ff d,#0bd2b2ff e,#4d4afdff f,#bab9feff g,#dbe5f9ff ``` ```image dda gdda cddc addg add gdda cddc cddg addg dda gdda cddc add ag gggggggfffffff eeeeeeeeeebbbbbbbbbbbbbbbbbbbbbbe bbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeee fffffffffffgggggggg ```  It's a shame, but area B doesn't contain an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#4bddc6ff b,#2824fdff c,#91eadcff d,#09d1b1ff e,#6765fdff f,#a9a8fdff g,#d3eff3ff ``` ```image g dg cd d dg ca d dg ca d d ca d d aa d d aa d d ac gd d ac cc gd ddg d dgd dc d cd gd d da d ca dg dc ac d gd d cd d d ad dg d dc cd gd dg d ac gd dg dg cd ca d da d d dg dg gd d ca ca cd d ac ad d d dc ca d dg d d gd d cd cd aa ac da d dg dg d d d aa d cd d gd ad d ca dc ac dg dg gd d gd d d cd ac d da gd ca dg d ac d dc d cd gd d ad dc d dc d gd dg cd ac gd da dg ad d d da gd d dg aa gd d fbbg dg ca cd b gbbg gd dc ad be fbb ad d dc gb fbb dc d dg bg fbb d d gd ee fbb cdca ad gb fbb ddc da bg ebe dg dg eb ebe d b ebe cd bf ebe a fb ebe b ebe ggggfffffffeeeeeeeebbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbeeeeeeeffffffffgggg ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#3dd137ff b,#a365d8ff c,#94d393ff d,#c5a6e3ff e,#6dda69ff f,#eaf1ecff g,#b0d7b1ff ``` ```image bf bbf dbb bb bbf dbd fbb fbb bb dbbb bbd bbbdbf fbb fbbd bb bb bbbf bb bbf fffffffffffffff bbb db dbb cggggggggggggggcfdbbd bd bb cgggggggggggggggbbbf bb bb cggggggggggggggbbb bb dbd cggggggggggggdbbd fbd fbb cgggggggggggbbbgf bb bb cggggggggggbbbggf bb bbd cggggggggdbbdgggf dbf dbb cgggggggbbbgggggf bd bb cggggggbbbggggggf bb bbf cggggbbbggggggggf bb dbd cgggbbbgggggggggf fbd fbb cggbbbggggggggggf bb bb cbbbggggggaeggggf bb bbd bbbggggggcaaggggf dbf fbb dbbbgggggggaaaggggf bb bb bbbcggggggggaaaggggf bb bbf bbb cggggggggaaaggggf db dbb dbbd gccccccceaaacccc fbd bb bbb eaca bb bbf bb aagaf bb dbd f aafag dbf fbb fag ac bb bb ea ae bb bbd aa aa db dbb aa aa bd bb fag aa bb bbf ea ea fffbbfffffffdbd aa ea cggggbgggggggbbcf aa gaf cggggbbgggggbbggf fac fag cggggbbggggbbdggf ea ac cggggdbggggbbgggf aa ae cgggggbbggbbggggf aa aa cgggggbbgbbgggggf fac aa cgggggbbdbbgggggf caf aa cggggggbbbggggggf aa aa cggggggbbgggggggf aa ea cggggggbdgggggggf fac caf cgggggggggggggggf caf gag cgggggggggggggggf aa fac cgggggggggggggggf aa ae cgggggggggggggggf ac aa cgggggggggggggggf caf aa ceegggggggggggggf aa aa eaaaaaaaecgggggggf aa aa eaaacceaaaaaaaaecgcf ae ea eaaag fffffffgeaaaaaaaegf caf ca eaaag geaaaaaaaacf aa gaf eaaaf fcaaaaaaaaeg aa fag eaaaf geaaaaaaaecf gac ae eaaaf geaaaaaaaacf aa aaeaaaf fcaaaaaac fae aaaaf gef aa aaf faa aa aa eaf aa eag aa cag aa gac aa fae aa fae g ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#3cd136ff b,#a263d9ff c,#c2f0c0ff d,#d0b1ecff e,#74dd70ff f,#b787e1ff g,#e8ddf4ff ``` ```image d fb gbbb dbbbb fbbbbb gbbbbbf dbbbbbd gfbbbbfg gbbbbbf dbbbbbd gfbbbbfg dbbbbbd fbbbbbg gfbbbbfg dbbbbbd fbbbbbg gbbbbbf dbbbbbd fbbbbbg gbbbbbf dbbbbbd ceeg gfbbbbfg eaae gbbbbbf aaae bbbbbd caaaa bbbfg eaaaa bbd eaaaag bg aaaaac g caaaaac eaaaaac eaaaaae aaaaaae ```  This close-up reveals that there are no intersections in area A. Let's continue our search in the next region. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#3dd137ff b,#a364d9ff c,#8de389ff d,#be92e4ff e,#d5baeeff f,#d1f3d0ff g,#ebdef6ff ``` ```image dbbbg gbbbb gbbbe bbbbe bbbd dbbbd dbbb ebbbb ebbbg gbbbbg gbbbe dbbbe bbbb ebbbd dbbbg gbbbbg gbbbe bbbbe bbbd dbbbd dbbb ebbbb ebbbg gbbbbg gbbbd dbbbd dbbbebbbb ebbbbbbbg gbbbbbbe bbbbbd dbbbbg ebbbe dbe fcccf fcaaaaaaaccff aaaaaaaaaaaaaaccff aaaaaaaaaaaaaaaaaaaaccf ```  The evidence suggests that this is not an intersection point in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#3dd137ff b,#a365d9ff c,#9ce799ff d,#c59ee7ff e,#70dd6cff f,#d1f3d0ff g,#e5d4f4ff ``` ```image bg bbg gbb bb bbg dbd bb gbb bb dbbb bbd bbbgbg gbb gbbd bb bb bbbg bb bbg bbb db dbb gbbd bd bb bbbg bb bb bbb bb dbd dbbd gbg gbb bbb bb bb gbbb bb bbg dbbg dbg gbb bbb bd bb gbbd bb bbg dbbg bb dbd bbb gbd bb gbbd bb bb dbbg ae bb bbd bbb faa dbg gbb gbbd eaa bb bb bbbg aaa bb bbg bbb aaa db dbb dbbd faaa gbd bb bbb eaca bb bb bb aacaf bb dbd g aafac gbg gbb fac ae bb bb ea ae bb bbg aa aa db gbb aa aa bd bb fac aa bb bbg ea aa bb dbd aa ea gbg bb aa caf bb bb fac faf bb dbd ea ac dbg gbb aa ae bd bb aa aa bb bbg ac aa bbdbb ca aa gbbb aa aa bb aa ea dd ac ca ca faf aa ac aa ae ae aa caf aa cc aa aa eaaaaaaacf aa aa eaaaffcaaaaaaaaef ae ea eaaaf ceaaaaaaaec caf ca eaaaf feaaaaaaaacf aa faf eaaaf fcaaaaaaaaef aa fac eaaaf ceaaaaaaaec fae ae eaaaf feaaaaaaaacf aa aaaaaaf fcaaaaaac fae aaaaf cef aa aa aa aa aa eaf aa eaf aa cac aa fac aa fae aa ae f ```

[ "" ]

This image seems promising for intersection detection. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#88cdcbff b,#bfe0dfff c,#94b2b2ff d,#deeeeeff e,#a5d2d0ff f,#b1d7b1ff g,#95c996ff ``` ```image b aa aa aa aa ae ae ab ab a ab a ad a dad da dad be da eb da ad ba a ba a ea a ea da ea ba aa ee aa ab aa ad ae a ae a ae a ab da ab ba ab eb ad ad dad a dad a da a da da ba da ba ee ea ab ea ad ea a aa a aa a aa da ae ba ae eb ae ad ab a ab a aaaaebdd a ddbbeaaaaaaaaaeeb a ddbeab da da be a ab ad ad ba a a a a a eb da c da ba bcb a eb cc ad ad ecb ba a dcc a a ccd a a dcc ee a cc da da bce a be cc ab ab ecb ba ad cc a a ecd fggggagggaggggggf dcc gffffaaffaffffffg ccd gfffffaffaffffffg dce gfffffafeaffffffg cc gfffffaeaaffffffg bce gfffffeaafffffffg cc gffffffaafffffffg ecb gffffffaafffffffg dccccccccccceeebbbddd gffffffaafffffffg dddbbbeeeccccccccccccccccccccccccccccafffffffg dddgccccccccccccccccc gfffffffffffffffg gfffffffffffffffg gfffffffffffffffg ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#88cdcbff b,#bed8d8ff c,#93b1b2ff d,#e6f1f1ff e,#a3d8d7ff f,#aac2c2ff g,#cee6e5ff ``` ```image gaad eae aag eab eae aag gaa aag daag daad aab gaa baa gaa daad bae aag eae eae aab gaa aag daagaad eaaaad baaaa daaaa aaae eaab gaag cccccffffffbbbbbaabgddddd cccccccccccccccccacccccccccccccf gggbbbbbffffffcccccccccccccccccc dddddggggbbb ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#88cdcbff b,#bddfdeff c,#94b1b2ff d,#e9f3f3ff e,#a1d7d6ff f,#b1c6c7ff g,#d3e9e8ff ``` ```image b aa aa aa ae ae ae ab ab a ag a dag a dad ga dad be gad eb ga ag ba a ba a ea a ea da ea ga aa ee aa ag aa ad ae a ae a ae a ab ga ab be ag eb dag ag dad a dad a gad a ga da ba ga ba ee ea ab ea ad ea a aa a aa a aa da ae ba ae eb ae ag ab ad ab a aaaaebgd a dgbbeaaaaaaaaaeeb da dgbeab ga ga be a ab ag ad ba a a a a a eb da c da ba fcb a eb cc ag ag fcg ba ad dcc a a ccd ad a gcf ee a ccd da ga bcf a be cc ag ab fcb ba ad dcc a a fcg ad a dcc ee a ccd da da gcf a ba ccd abee bcf gaag cc aad fcb aa dcccccccccccfffbbggddd ea ddggbbfffcccccccccccccccccccccccfffbbagdd dddggbbfffcccccccccccc ```

[ "" ]

The hunt for intersections begins! Let's analyze this image closely. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#e351f3ff b,#e74f36ff c,#f6beb5ff d,#ea9af4ff e,#f4edf3ff f,#e48a75ff g,#b0d6b0ff ``` ```image ead aaaa aaaaaa daaad aa eaaaa aa aaaae aa daaad aa daaad aa eaaaa aa aaaae aae daaad aad daaad dad eaaaa dad aaaae dad daaad eaa daaad eaa eaaaa aa aaaae aa daaad aa daaaa aa eaaaa aa aaaae aa daaad aa eaaaa aae aaaae aae aaaae dad daaad dad eaaaa dad aaaae eaa aaaad eaa daaad aa eaaaa aa aaaae aa daaad aa daaad aa eaaaa aa aaaae aa daaad aae daaad aae eaaaa dad aaaae eeeeeeeeedadeeee daaad egggggggggdadgggg daaad eggggggggggaagggg eaaaa eggggggggggaagggg eaae eggggggggggaagggg d eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggaagggg eggggggggggdadggg eggggggggggdadggg eggggggggggdaaggg egggggggggggaaggg egggggggggggggggg egggggggggffbfggg egffbbbbbbbbbbggg cbbbbbbbbbbbbffgggg cbbbbbbbbfggggggggggggg cfbbbbbbbcegggggggggggggggg efbbbbbbbc egggggggggggggggg efbbbbbbbc eeeeeeeeeeeeeeee cbbbbbbbfe cbbbbbbbfe cbbbbbbbfc cfbbbbbbbc efbbbbbbbc efbbbbbbbc cbbbbbbbfe cbbbbbbbfe cbbbbbbbfc cfbbbbbbbc efbbbbbbbc efbbbbbbbc cbbbbbbbfe cbbbbfe fc ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#e350f4ff b,#e84e35ff c,#f3a599ff d,#f5c4faff e,#f8d1cbff f,#ed7a67ff g,#ec8af7ff ``` ```image gaaag daaag daaag daaag daaaa daaaa aaaa aaaa aaaa aaaad aaaad gaaad gaaad gaaad gaaag gaaag daaag daaag daaaa daaaa aaaa aaaa aaaa aaaad aaaad gaaad gaaad gaaad gaaag gaaag daaag daaag daaag daaaa d eeccffbc eeccffbbbbbbbbbbf eccffbbbbbbbbbbbbbbbbbbf cfbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbffccee bbbbbbbbbbbfffccee bbbbfccee fce ```  The lines within area A do not intersect. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#e350f4ff b,#e84d34ff c,#f3ada1ff d,#f1adf9ff e,#f9dbf0ff f,#ec7764ff g,#e97df6ff ``` ```image ead aaaa gaaaaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa eaaaa aa aaaae aae gaaad gad daaag gad eaaaa dag aaaae dag gaaad eaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa aaaa aa aaaae aa daaad aa eaaag aae aaaa gae gaaae gad daaad dad eaaaa dag aaaa eag gaaad eaa daaag aa eaaaa aa aaaae aa gaaad aa daaag aa eaaaa aa aaaae aa gaaad aa daaag aae eaaaa gad aaaae gad gaaad dag daaag dag eaaaa eaa eaae aa d aa aa aa aa aa aa aa aae gae gad dad dag eag eccfc cfbbbbbbbbbf cbbbbbbbbbbbfcc cfbbbbbbfce efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc cbbbbbbbfe cfbbbbbbfe efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc cbbbbbbbfe cfbbbbbbfe efbbbbbbfc efbbbbbbbc cbbbbbbbc cbbbbbbbc ebbbbfe fe ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#7753cfff b,#f47e26ff c,#4918c0ff d,#f9c095ff e,#ab94e1ff f,#f69c59ff g,#ebd9e0ff ``` ```image gdfbbbf gdfbbbbbbbbbbb gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg dfbbbbbbbbbbbbbbfdg dfbbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbbfd gdfbbbbbbbbbbbbbbfd gdfbbbbbbbbbbbbbfdg gdfbbbbbbbbbbbbbfdg fbbbbbbbbbfdg bbbfdg bb dbb bbf bb gbb fbb bbd bb gbb fbf cc cccce ecccccc cca accce ccc cccc ecc eccca cca ccccg ccc eccca ecc ccccg cce eccca ccc ccccg ecc gccca cce acccg ccc gcccc acc accce cce gcccc ccc accce acc gcccc gcce accce ccc cccc acc eccca gcce cccc ccc eccca acc ccccg gcce eccca ccc ccccg acc eccca ccg ccccg ccc gcccc ccg accce ccc gcccc ccg accce acc gcccc ccg accce acc cccc ccg accce acc ccc cce e acc cce acc cce acc ae ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#b85d9cff b,#179281ff c,#83c4bbff d,#d299c1ff e,#eae2eaff f,#46a79aff g,#b6dcd7ff ``` ```image a daad aaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad eaaaaae daaaaa aaaaad e eaaaaae ebbbc daaaaa bbbbbbbg aaaaad fbbbbbbbbbb eaaaaae cbbbbbg bbbbbc daaaaa gbbbbbc gbbbbbg aaaaad bbbbbf cbbbbb eaaaaae fbbbbb bbbbbc daaaaa cbbbbbg gbbbbbe aaaaad gbbbbbc cbbbbb eaaaae bbbbf bbbbbc daa gbb gbbbbbe e fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf bbbbbc gbbbbbe fbbbbf ebbbbbg gbbbbbe fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbbg cbbbbb fbbbbf ebbbbe cbf ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#6b680fff b,#b39571ff c,#9c1206ff d,#e8ded4ff e,#87853dff f,#b44c43ff g,#ccb8a0ff ``` ```image a aad aa daa gaa db bae daa eab gaea aag bab ad aad eag ab aa aad ae daa aad ea gae aa ga bae daa da eag daa ad aad gae ag baad bab ae eaae eag ea daaag aad ba gaaad aad da baae aa a eaab daa ag daaag daa ae gaaad gae aa baae bab ba aaab eag da daaag aad a baaad aad ag eaae aa abdaaab e aaaag gad c dccd fcc ccb gcc fcf dccg bcc ccb dccd fcf ccg bcc ccf dccd fcc dccg fcc dccg fcc dccg ccc gccd ccf gccd ccf gccd ccf bccd ccf bccd ccf bcc ccb fcc cccbd dccb gcccccfd fcc gfccccfg dccb dfcccccg fcc dfcccccbdccg bcccc ```

[ "" ]

This image might have some surprises. Let's look for intersections carefully. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#743d35ff b,#a789efff c,#a1bc97ff d,#d9ccedff e,#530c02ff f,#9a746dff g,#b2d5b1ff ``` ```image ccccccccccccg gggefcggggggc gggeeeeeeeafc ggggggcfaeeeeeeeafd a ggggggggggggcgfeeeeeeeefg ged ggggggggggggc dfaeeeeeeeacd ee ggggggggggggc caeeeeeeeafd fe ggggggggggggc gfaeeeeeeefc ea gggbggggggggc dcaeeeeeeeafd ae gggbbgggggggc gfeeeeeeeef dec gggbbgggggggc dfaeed ee ggggbbggggggc ec ced ggggbbggggggc ea ee gggggbggggggc ee fe gggggbbgggggc ae ef ggggggbgggggc fe ee ggggggbbggggc de dec ggggggbbggggc ed ee gggggggbggggc ec ced gggggggbbgggc ea ea ggggggggbgggc ee ae ggggggggbbggc ae ef db fe ee bd de deg bb ed ee bd ec fe bb ef ea db ee ae bb ae ef db fe ee bd ge ged bb e ee bd ec fe bb ef ea db ee ae bb ae ef db fe ee bd ge ced bb e ee b egfe bb efea db eee bb aec bb fe bd bb b bb db bd bb bd bb db bb db bd bb bd bb db bb db dbb bd bbbbd bb dbbbb b dbbbb bb bbbbd db bbbbd bb dbbbb bb dbbbbd bd bbbbd bb dbbbd b dbbbb bb dbbbbd db bbbbd bd dbbbd bb dbbbb bd dbbbbd bb bbbbd dbdbbbb bbb ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#7e4a43ff b,#a586f0ff c,#c7b1aeff d,#e1d7f4ff e,#530d03ff f,#a37e79ff g,#c2adf4ff ``` ```image feafccd feeeeeeeaffcd aeeeeeeeeeeeeeaafc dcfaaeeeeeeeeeeee dcffaeeeeee ccfa dgb bbbd dbbb bbbd gbbg dbbb gbbg dbbb bbbd dbbg bbbd gbbg dbbb gbbd dbbb bbbd gbbg bbbd gbbg dbbb bbbd dbbb bbbd gbbg bbb gbbg dbbb ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#733931ff b,#a586f0ff c,#c0a6a3ff d,#e3d9ecff e,#530c02ff f,#976d67ff g,#c4b0f5ff ``` ```image afc eeeeeeefc dcaeeeeeeeafd a cfeeeeeeeefc ced dfaeeeeeeeacd ee dcfeeeeeeeafd fe cfaeeeeeeefc ea g dcaeeeeeeeacd ae bb cfeeeeeeeef dec gb dfaeed ee bg ec ced bb ea ee bd ee fe bb ae ef db fe ee bg de dec gb ed ee bd ec ced bb ef ea b ee ae bb ae ef db fe ee bg de dec gb ed ee bd ec fe bb ef ea db ee ae bb ae ef gb fe ee bg ce ced bb ed ee bd ec fe bb ef ea db ee ae bb ae dec gb fe ee bg ce ced bb e ee bd ecfe bb efef db eee bg aec gb ce bd bb b bb gb bg gb bd bb db bb gb bg bb bd bb db bg gb dbbd bg gbbbg bb gbbbg bd dbbbbd bb dbbbbd db gbbbg bg gbbbg gb dbbbbd bd bbbbd bb gbbbg db gbbbb bb dbbbbd gb gbbbg bg gbbbg gb dbbbb bd dbbbbd bb gbbbg dbgbbbg bbbd ```

[ "" ]

I'm on the case! Let's uncover any intersections hidden in this image. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#73aceaff b,#e9c791ff c,#3085ebff d,#b5d3f8ff e,#e09f41ff f,#add5adff g,#eef1eeff ``` ```image a ac c dc dcg dc ccg gcg dccg gcd cgcg cd dc cg ca cg cg ca dc cg cc cg cg cc ac cg cc cg cg ac cd ac cd dc cd dcg cd gcg cd gcd cd cd cd ca cd ca cd cc cd cc cd cc cd ac cd ac cd dc cd dcg cd gcg cd cd cd cd cd ca cd ca cd cc cd cc cd cc cd ac cd ac cd dc aa dcg aa gcg aa cd aa cd aa ca aa ca aa cc aa cc aa cc aa ac aa ac aa dc aa acg aa cc aa cc aa dcd aa acg aa cc aa gca gb ggaagggggggggggg dcd eee ffacffffffffffffg cc be beb ffacffffffffffffg cc eg eeg ffacffffffffffffdca be beb ffacfffffffffffacd eg eeg ffacffffffffffccg be gee ffacfffffffffccfg e eeg ffacffffffffcaffg ee gee ffacffffffccffffg e beb ffacfffffccfffffg eb ee ffacffffccffffffg ge beb ffacffacafffffffg eb eeg ffacfccfffffffffg ge beb bb ffacccffffffffffg eb eeg beeeeefafffffffffffg ge gee ffbeeeeeebffffffg eg eeg ffffffffbeeeeeefg be ge fffffffffffffbeeeeeebg eg ffffffffffffffffg gbeeeeebg be ffffffffffffffffg gbeeeeebg e gggggggggggggggg gbeeeeebb ee gbeee ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#569aeeff b,#dfb372ff c,#2880edff d,#90bdf4ff e,#e09d3cff f,#f2d7b1ff g,#cee2faff ``` ```image dca dca dca dca dca dca dca dca dca a dca gcc dca dccc dca dccag dca gacca dca gcccd dca dcccg dca accag dca gaccd dca gcccd dca dcccg dca acca dca gcccd dca dcccg dca dccag dca gacca dca gcccd dcadcccg bbff dccccag eeeeeebbad fbbeeeeeeeeebff ffbbeeeeeeeeebbff ffbbeeeeeeeeebff ffbeeeeeeeeebbf ffbbeeeeee ffbe ```  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

```palette Key,Color ,#fefefeff a,#5d9ff1ff b,#e4b671ff c,#2a81edff d,#95c0f5ff e,#e09d3cff f,#f2d8b3ff g,#d0e3faff ``` ```image d dc c dc gc gc ccg gcg dccg cg cgcg cd dc cg cd cg cg ca dc cg ca cg cg cc dc cg ac c cg ac cg dc cg dc cg gc cg gcg cg cg cg cd cg cd cg ca cg ca cg cc cg ac cg ac cg dc cd dc cd gc cd gcg cd cg cd cd cd cd cd ca ad ca ad cc ad ac ad ac ad dc ad dc ad gc ad gcg ad cg ad cd ad cd ad ca ad ca ad cc ad ac ad ac ad dc aa dc aa dc aa cc aa ca aa gcd da acg da cc da ca f da dcg eee da ac fe feb da cc e ee da gca fe feb da dcg e eef da cc be fee da ca e bef da gcd bb ee da acg e bef da cc eb ee da ca e feb da dcd ef ee da ac e feb bf dacc ef ee beeeeebd fe feb fbeeeebf ef bef feeeeebf fe e fbeeeebf e feeeeebf be fbeeeeef e fbeeeebf bb fbeee ```

[ "" ]

I'm examining this image closely. My goal: find any and all intersections. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#c1c1e4ff b,#7f97cbff c,#d8d9eeff d,#b0d6b1ff e,#96ca96ff f,#9cafd5ff g,#eef0f4ff ``` ```image abf gbc fg ff b cbg b ba gf ab ac gbc b ff b cbg gf ba ac ab bg gbc b ff b cbg ca ba fg ab b gggggggbcggggggg b eddddbbddddddddeg cf edddbdddddddddddg fg edbfddddddddddddg b efddddddddddddddg b edddddddddddddddg gf edddddddddddddddg fc b edddddddddddddddg b f eddddddaadddddddg b f eddddddddaadddddg gf b edddddadddddaaddg ac cc edddddadddddddaac bg b eddddaddddddddddgaa b f eddddaddddddddddg cac b ag edddadddddddddddg gaag ca b edddadddddddddddg cac fg ga edddddddddddddddg aag b b eddaddddddddddddg cac b b eddaddddddddddddg aag cf ag deaeeeeeeeeeeeeeg gac fg b a cag b ga c gac b b cag gf b gac fc ag cag b b gac b f a gf f a ac b a bg cc gg b b c b f a cb a a a c gg a a a c gg c a a c gg c a a a ca a ag c ca c ag a ca a ag a ca c ag gg ca c ag a ca a ag c ca ggag a ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#c1bee5ff b,#7f97cbff c,#d7d6eeff d,#e4e2f3ff e,#ccc9eaff f,#9aadd6ff g,#f0f0f8ff ``` ```image ebba dfbfg abbc cbbag gfbfd ebba fbfg ac dg daaed eedeaacg gad gcaaed ea deaacg gad gcaaed ca deaac ac gca dag ee gad ea gad ca ac dag ee gad ea gad ca ac dag ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#afbedeff b,#7f97cbff c,#d3d4edff d,#e4e3f3ff e,#c3c0e6ff f,#98abd5ff g,#f2f3f9ff ``` ```image aba gbd fd ff b cbg b be df ab ac gbd b ff b cbg gf be ec ab bg gbd b ff gb cbg ce be fg ab b gbd b ff da cbg fd be b a b df ac b b f ec b a gd ced gf b e gee ec dc c ced bg b e geeg b f e ced gb ag cg geeg ce b e dec fg ge gd geeg b b e dec b b c eeg da eg e dec fd b e ceg b ga cg dec b f ced df b dec ac cd ced b b ged b ga e gf f e ec b c bg cc dg b b d gb f e cb e e e d gd c e e c gg c e e c dg c e e e de e ed d de gd ed e de e ed e de c ed gd de c ed e de e ed c de dged e ```

[ "" ]

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.  ```palette Key,Color ,#fefefeff a,#e8c65fff b,#a0edc6ff c,#f2e1adff d,#f0f8edff e,#b0d7b0ff f,#97ca96ff g,#c7f4ddff ``` ```image dbb bbbbg bbbbbb gbb bbbbd bbb gbbbg dbbd dbbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbg dbb dbbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbb dbb bbbb bbb bbbbg bbg dbbbb gbb bbbbd bbb gbbbb dbb bbbb bbb gbbbg dddddddddddddddd bbd dbbbbdfeeeeeeeeeeeeeef gbb bbbbeeeeeeeeeeeeeeef bbg gbbbbeeeeeeeeeeeeef gbb bbbbeeeeeeeeeeeef bbb dbbbbbeeeeeeeeeef bbd deebbbbeeeeeeeeef bbb deeebbbbeeeeeeeef bbg deeeeebbbbeeeeeef gbb deeeeeebbbbeeeeef bbb deeeaaaebbbbbeeef bbd deeaaaaeeebbbbeef bbb dfaaaaaaeeebbbbef bbg aaaaeaaaeeeeebbbb gbb aaaaeeeaaeeeeeebbbbd bbb daaaaeeeeaaaeeeeeebbbbg bbd caaaceeeeeeaaeeeeeeefbbbb bbb aaaaddffffffaaaffffffe bbbbg bbg aaaa caa dbbbb gbb daaaa aac bbbbd bbb caaac aaa gbbb dbbd aaaad daac bd bbb aaaa aaaad bbg daaaa aaaaa gbb caaac daaaac bbb aaaad caaaac dbbd aaaa aaaaa bbb daaaa daaaaa bbg caaac caaaac gbb aaaa aaaaad bbb aaaa aaaa dbbd daaac cac bbb caaac bbg aaaa gbb aaaa gbb daaac caaad aaaa aaaa caaac caaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa daaaa caaac aaaad aaaa aaaa ac ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#e8c55cff b,#9feec6ff c,#f3e2aeff d,#dbf8e9ff e,#f9f2dbff f,#ecd281ff g,#baf2d5ff ``` ```image g bbd bbbg bbbbgd bbbbbbd bbbbbbbg dbbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbg dbbbbbbbbd gbbbbbbbd e dbbbbbbbg efaac dbbbbbbbbd caaaaae gbbbbbbbg caaaaaac dbbbbbbbbd faaaaaaaa gbbbbbbbg eaaaaaaaaaac dbbbbbbbg caaaaaaaaaaaf dbbbbbbbbd caaaaaaacaaaaae gbbbbbbb faaaaaafe faaaaf dbbbbbb aaaaaaf eaaaaa gbbbb aaaaac faaaac dbbb aaaae caaaaa dbb aafe aaaaae g af caaaaf c eaaaaae ```  The lines within area A do not intersect. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#e8c55cff b,#9feec6ff c,#f4e4b4ff d,#dff8ebff e,#faf4e2ff f,#ecd281ff g,#bff3d8ff ``` ```image bb bbbbd bbbbbb gbb bbbb bbb gbbbg dbb bbbb bbb bbbbd bbd dbbbb gbb bbbbd bbb gbbbg dbb bbbb bbb bbbbd bbd dbbbb gbb bbbbd bbg gbbbg dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg gbbbg dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg dbbbb dbb bbbb bbb gbbbg bbd dbbbb gbb bbbbd bbg dbbbb dbb e bbbb bbb aaa gbbbg bbd eaaaa bbbb bbb caaaaaf bbbbd bbg faaaefaa dbbbb dbb aaaa aac bbbbd bbb eaaaf aaa gbbbg bbd caaac eaae bbbb bbb faaae aaa bbbbd bbg aaaa caa dbbbb gbb eaaaf aac bbbbd bbb caaac aaa gbbb bbd faaae eaaf bd bbb aaaa aaaae bbg eaaaf faaaa gbb caaac eaaaaf bbb faaae caaaac dbb aaaa faaaa bbb eaaaf aaaaf bbg caaac caaaac gbb aaaa faaaae bbb aaaa aaaa dbb eaaaf eac bbb faaae bbd aaaa gbb aaaa gbb eaaaf faaae aaaa aaaa caaaf faaae aaaa aaaa caaac faaae aaaa eaaaf caaac faaae aaaa eaaaf caaac faaae aaaa eaaaf caaac faaae aaaa aaaf ac ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#5cc7a0ff b,#10a5adff c,#a2ddd0ff d,#e1f4f0ff e,#7ed0c0ff f,#47b9bfff g,#c0e8e2ff ``` ```image ddddgggc ggccceeeeffffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffff ebbbbfffeeeecccggggddd fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd ebbbb fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd ebbbb fbbbb fbbbb bbbbf bbbbe bbbbc dbbbbg gbbbbd dbbbb ebb f d dac gaaac gaaaa caaaa eaaaa eaaaa eaaae aaaae aaaac aaaac aaaag aaaag aaaad aaaad daaaa daaaa gaaaa gaaaa caaaa caaaa eaaaa caaaae eaaaaae daaaaaaag gaaaaaaad caaaaaae eaaaaaac daaaaaaag gaaaaaaad caaaaaae eaaaaaac daaaaaaag caaaaaaad eaaaaaae aaaaaaac daaaaaaag caaaaaaad eaaaaaae daaaaaaac gaaaaaaad caaaaaaa eaaaaaae daaaaaaag gaaaaaaad caaaaaae caaaaaac eaaaaaag aaaaad caad d ```

[ "" ]

I'm analyzing this image to identify any points where lines intersect. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#5b4763ff b,#1b7295ff c,#9cbca3ff d,#d9e0e6ff e,#619eb3ff f,#b1d6b2ff g,#877c8dff ``` ```image bf bbbe ebbbbb dbbbbbd bbbbbe ebbbbb fbbbbbd bbbbbe bbbbbb cbbbbbd bbbbbc bbbbbb ebbbbb dbbbbbf bbbbbe ebbbbb dbbbbbd bbbbbe ebbbbb fbbbbbd bbbbbe bbbbbb cbbbbbd bbbbbc bbbbbe ebbbbe d dbbbbe caa dbbbbe caaac dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa dbbbbe gaaaf dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa dbbbbe gaaad dbbbbe aaaa dbbbbe caaac dbbbbe aaaa dbbbbe daaag dbbbbe aaaa dbbbbe aaaa bbbbe gaaaf bbbbb aaaa bbbbbb dbd daaag bbbbbbbd bbbe aaaa ebbbbbbbf bbbbf aaaa ebbbbbbbe ebbbb gaaad cbbbbbbbeffffffffffcbbbbffff aaaa fbbbbbbbbffffffffbbbbfffff caaac dbbbbbbbbfffffbbbbefcfff aaaa cfbbbbbbbbcfebbbbaaafff daaag cfffbbbbbbbbbbbbaaaagff aaaa cfffffebbbbbbbbaaaaagff aaaa cfffffffebbbbbaaaaaffff gaaaf cffffffffgabbbaaaffffff aaaa cffffffcaaaaaaaffffffff daaag cffffcaaaaaaacfffffffff aaaa cfffaaaaaaacfffffffffff aaaa cfaaaaaaacfffffffffffff gaaad aaaaaaagfffffffffffffff aaaa gaaaaaagfffffffffffffffff caaac gaaaaaagfffffffffffffffffff aaaa caaaaaaafffffffffffffffffffff daaag faaaaaaacffffffffffffffffffffff aaaa daaaaaaa fcccccccccccccccccccccc aaaa daaaaaaad gaaaf aaaaaaad aaaa aaaaaaaf daaag gaaaaaac aaaa gaaaaaag aaaa gaaaaaag gaaad caaaaaaa aaaa faaaaaaa caaac daaaaaaad aaaa daaaaaaad daaaaaaaaaad aaaaaaaac aaaaac caag ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#5a4663ff b,#1b7295ff c,#b4b9c6ff d,#706078ff e,#6da5bbff f,#d7dee4ff g,#938598ff ``` ```image bbbe ebbbbbbbb bbbbbef cbbbbbbbbf bbbbbbbef fbbbbbbbbc bbbbbbbbbef bbbbbbbbe bbbbbbbbbbbbc ebbbbbbbb bbbbbbbbbbbbbbc cbbbbbbbbf ebbbbbbbbbbbbbbbe fbbbbbbbbc cf febbbbbbbbbbbbbbbef bbbbbbbbe cdad ebbbbbbbbbbbbbbbef ebbbbbbbbcdaaaac cbbbbbbbbbbbbbbbefcbbbbbbbbdaaaaaad cbbbbbbbbbbbbbbbbbbbbbbbaaaaaaaaac febbbbbbbbbbbbbbbbbbbbaaaaaaaaad febbbbbbbbbbbbbbbbbaaaaaaaaaagf febbbbbbbbbbbbbbaaaaaaaaadf ebbbbbbbbbbbaaaaaaaadc cbbbbbbbbbaaaaaadc cdabbbbbbaaaaadc cdaaaaabbaaaaaac fdaaaaaaaaaaaaag fgaaaaaaaaaaaaagf fgaaaaaaaaaaaaagf fgaaaaaaaaaaaaagf gaaaaaaaaaaaaadf caaaaaaaaaaaaadc cdaaaaaaaaaaaadc cdaaaaaaaaaaaadc cdaaaaaaaaaaaaac aaaaaaaaaaaaag aaaaaaaaaaagf aaaaaaaaagf aaaaaaagf aaaaadf aaadc adc c ```  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

```palette Key,Color ,#fefefeff a,#5b4663ff b,#1b7295ff c,#a7aab9ff d,#c3cad4ff e,#609db5ff f,#e1e8ecff g,#85758bff ``` ```image fbd bbbe ebbbbb dbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbe bbbbbb cbbbbbf fbbbbbc bbbbbb ebbbbb fbbbbbd bbbbbe ebbbbb dbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbe bbbbbb cbbbbbf fbbbbbc bbbbbe ebbbbe f fbbbbe caa fbbbbe caaac fbbbbe aaaa fbbbbe faaag fbbbbe aaaa fbbbbe aaaa fbbbbe gaaad fbbbbe aaaa fbbbbe daaag fbbbbe aaaa fbbbbe aaaa fbbbbe gaaaf fbbbbe aaaa fbbbbe caaac fbbbbe aaaa fbbbbe faaag fbbbbe aaaaf fbbbbe aaaa fbbbbe gaaad fbbbbb aaaa fbbbbbbf fbd daaag fbbbbbbbf bbbe aaaa ebbbbbbbd bbbbd aaaa ebbbbbbbc ebbbb gaaaf cbbbbbbbe fbbbb aaaa dbbbbbbbe bbbb caaac fbbbbbbbbf bbbbc d aaaa fbbbbbbbbf ebbbbgaa faaag ebbbbbbbbbbbaaaac aaaaf ebbbbbbbbaaaaag aaaa cbbbbbaaaag gaaad cabbbaaa aaaa daaaaaaaf daaag faaaaaaaf aaaa faaaaaaad aaaa aaaaaaad gaaaf gaaaaaac aaaa gaaaaaag caaac gaaaaaag aaaa caaaaaag faaag daaaaaaa aaaaf daaaaaaaf aaaa faaaaaaaf caaad faaaaaaad aaaa aaaaaaac daaag gaaaaaac aaaa gaaaaaag aaaa caaaaaag gaaaf caaaaaaa aaaa daaaaaaa caaac daaaaaaaf aaaa faaaaaaaf faaaaaaaaaad aaaaaaaac aaaaac caag ```

[ "" ]

This image seems promising for intersection detection. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#e19a60ff b,#3bd163ff c,#ede8d7ff d,#94cc97ff e,#67d783ff f,#e4bb93ff g,#b1d8b1ff ``` ```image gd gbbbbec gdddddddddddddddddddddddbbbbbbbbbg dggggggggggggggggggggggbbbbbbbbbbbbbg dgggggggggggggggggggggbbbbegebbbbbbbbbbd dggggggggggggggggggggebbbbggggddbbbbbbbbbbec dgggggggggggggggggggdbbbbgggggd gbbbbbbbbbbbc dgggggggggggggggggggbbbbggggggd cebbbbbbbbbbg dggggggggggggggggggbbbbdggggggd cebbbbbbbbbbd dgggggggggggggggggebbbbgggggggd dbbbbbbbbbbec dggggggggggggggggdbbbbggggggggd gbbbbbbbbbbec dggggggggggggggggbbbbgggggggggd gbbbbbbbbbbbg dgggggggggggggggbbbbdgggggggggd cebbbbbbbbbbd dggggggggggggggbbbbeggggaaggggd dbbbbbbbbbbe dgggggggggggggdbbbbggggaaaagggd gbbbbbbbbg dgggggggggggggbbbbgggggaaaafggd gbbbbb dggggggggggggbbbbdggggaaaaaaggd ceb dgggggggggggbbbbeggggfaaaaaaagd dggggggggggebbbbgggggaaaaaaaafd dgggggggggdbbbbgggggaaaaggaaaad dgggggggggbbbbggggggaaaagggaaaa dggggggggbbbbdgggggaaaaggggaaaac dgggggggebbbbgggggfaaafgggggaaaa dggggggdbbbbggggggaaaagggggggaaaf dggggggbbbbggggggaaaaggggggggaaaac dgggggbbbbdggggggaaaagggggggggaaaa dggggbbbbeggggggaaaaggggggggggdaaaf dgggdbbbbggggggfaaafggggggggggdaaaa dgggbbbbgggggggaaaagggggggggggd aaaa dggbbbbdggggggaaaaggggggggggggd faaaf dgbbbbegggggggaaaaggggggggggggd aaaa debbbbgggggggaaaagggggggggggggd aaaa dbbbbgggggggfaaafgggggggggggggd faaaf bbbbggggggggaaaaggggggggggggggd aaaa bbbbdgggggggaaaagggggggggggggggd aaaa ebbbbggggggggaaaagggggggggggggggd faaac cbbbbddddddddaaaaddddddddddddddddg aaaa bbbb caaaf caaaa bbbbc aaaa faaac ebbbe faaac aaaa gbbbb aaaa caaaa bbbb aaaa aaaac bbbbc caaaf aaaa bbbbd aaaa caaaf dbbbb faaac aaaa cbbbb aaaa aaaa bbbb aaaa faaaf bbbbg caaaf aaaa ebbbe aaaa aaaa cbbbb faaac faaaf bbbb aaaa aaaa cbbbc aaaa aaaa be caaaf faaac aaaa aaaa faaac caaaa aaaa faaac aaaa aaaa caaaf caaaa aaaa aaaac faaac aaaa aaaa caaaf aaaa aaaac caaaf aaaa aaaa caaaf faaac aaaa aaaa aaaa aaaa faaaf caaaf aaaa aaaa aaaa faaac faaaf aaaa aaaa aaaa aaaa caaaf faaac aaaa aaaa faaac caaaa aaaa faaac caaa aaaa ff caaaa aaaac aaaa caaaf aaac f ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#e29a5fff b,#3bd163ff c,#e5f2e1ff d,#f2d4bcff e,#6edc8cff f,#e9b58aff g,#a7eab9ff ``` ```image cbbbbbbbbbbbb bbbbbbbbbbbbb ebbbbbbbbbbbbb gbbbbbbbbbbbbbb cbbbbbbbbbbbbbbb cbbbbbbbbg cgebbb ebbbbbbbe ge gbbbbbbbbc gbbbbbbbbc cbbbbbbbbg ebbbbbbbe ebbbbbbbb gbbbbbbbbc cbbbbbbbbg bbbbbbbbe ebbbbbbbe gbbbbbbbbc cbbbbbbbbg cbbbbbbbbg ebbbbbbbe gbbbbbbbbc gbbbbbbbbc cbbbbbbbbg ebbbbbbbe cfafd ebbbbbbbb caaaaad gbbbbbbbbc faaaaaac cbbbbbbbbg daaaaaaaf bbbbbbbbe aaaaaaaaad ebbbbbbbe faaaaaaaaaac gbbbbbbbbc caaaaaaaaaaaf cbbbbbbbbg faaaaaaaaaaaad cbbbbbbbbg daaaaaaaaaaaaaa ebbbbbbbe aaaaaaaaaaaaaaaf gbbbbbbbbc faaaaaaadfaaaaaaad gbbbbbbbbc caaaaaaaf caaaaaaaa cbbbbbbbbg faaaaaaac daaaaaaaf ebbbbbbbe daaaaaaad faaaaaaa ebbbbbbbb aaaaaaaf caaaaaaa gbbbbbbbbc faaaaaaad daaaaaa cbbbbbbbbg caaaaaaaf aaaaaa bbbbbbbbe faaaaaaac caaaaa ebbbbbbbe daaaaaaad faaaa gbbbbbbbbc aaaaaaaa aaaa cbbbbbbbbg faaaaaaad daaa cbbbbbbbbg caaaaaaaf faa ebbbbbbbe faaaaaaac aa gbbbbbbbbc daaaaaaad da gbbbbbbbbc aaaaaaaa f cbbbbbbbbg faaaaaaad ebbbbbbbe caaaaaaaf ebbbbbbbb faaaaaaac gbbbbbbbbc daaaaaaad cbbbbbbbbg aaaaaaaa bbbbbbbbe faaaaaaad ebbbbbbbe caaaaaaaf gbbbbbbbbc faaaaaaac cbbbbbbbbg daaaaaaad cbbbbbbbbg aaaaaaaa ebbbbbbbe faaaaaaad gbbbbbbbbc caaaaaaaf gbbbbbbbbc faaaaaaac cbbbbbbbbg daaaaaaad ebbbbbbbe aaaaaaaa ebbbbbbbb faaaaaaad bbbbbbbbc caaaaaaaf bbbbbbbg faaaaaaac bbbbbbe daaaaaaad bbbbbe aaaaaaaa ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#e29a60ff b,#3bd163ff c,#d2f4dbff d,#f5dfcdff e,#68db87ff f,#eab890ff g,#9ce7b0ff ``` ```image cg gbbbbec bbbbbbbbbc bbbbbbbbbbbbbg bbbbg ebbbbbbbbbbg gbbbb gbbbbbbbbbbec cbbbb gbbbbbbbbbbbc bbbb cbbbbbbbbbbbg bbbbg cebbbbbbbbbbg ebbbe gbbbbbbbbbbec cbbbb gbbbbbbbbbbec bbbb cbbbbbbbbbbbg bbbbc cebbbbbbbbbbg ebbbe fa gbbbbbbbbbbe gbbbb aaaa gbbbbbbbbg bbbb aaaad cbbbbb bbbbc aaaaaa ceb bbbbg daaaaaaa gbbbb aaaafaaad cbbbb faaa aaaa bbbb aaaa daaaa bbbbg aaaa aaaad ebbbe daaad aaaa cbbbb aaaa daaaf bbbb faaa aaaa bbbbc aaaa aaaa ebbbe aaaa daaaf gbbbb daaaf aaaa bbbb aaaa aaaa bbbbc faaa faaaf bbbbg aaaa aaaa gbbbb aaaa aaaa cbbbb daaaf faaad bbbb aaaa aaaa bbbbg faaad aaaa ebbbe aaaa faaad cbbbb aaaa aaaa bbbb daaaf daaaa bbbbc aaaa faaad ebbbe faaad aaaa gbbbb aaaa daaaf bbbb aaaa aaaad bbbbc daaaf aaaa bbbbg aaaa daaaf gbbbb faaad aaaa cbbbb aaaa aaaa bbbb aaaa daaaf bbbbg daaaf aaaa ebbbe aaaa aaaa cbbbb faaad faaaf bbbb aaaa aaaa cbbbc aaaa aaaa be daaaf faaad aaaa aaaa faaad aaaa aaaa faaad aaaa aaaa daaaf daaaa aaaa aaaad faaad aaaa aaaa daaaf aaaa aaaa daaaf aaaa aaaa daaaf faaad aaaa aaaa aaaa aaaa faaaf daaaf aaaa aaaa aaaa faaad faaad aaaa aaaa aaaa aaaa daaaf faaad aaaa aaaa faaad daaaa aaaa faaad daaa aaaa ff daaaf aaaad aaaa daaaf aaa f ```

[ "" ]

I'm curious to see if this image contains any intersection points. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#d73e8dff b,#774e99ff c,#f1bcd7ff d,#947aacff e,#b1d7b1ff f,#96c896ff g,#d973a6ff ``` ```image aac caaac aaaaac aaa aaac aaac aaa caag aaa aaa caaa aaa caaa gaac caaa caaa gaaa aaa gaaa aaa gaaa gaag aaag caaa aaag aaa aaag aaac aaag gaag aaac aaa aaac aaa aaa aaac aaa caag gaa aaa aac gaa aaa aag gaa aaa aac caag aaa aaa gaa caac aac aaa aaa gaa gaa aaa aac aaa fffaaafffffffffffffff aag eeegaaeeeeeeeeeeeeeee aaa eeeeaaeeeeeeeeeeeeeee caac eeeeaaaeeeeeeeeeeeeee aaa eeeeaaaeeeeeeeeeeeeee caac eeeeeaaeeeeeeeeeeeeee aaa eeeeeaaaeeeeeeeeeeeee gaa eeeeeaaaeeeeeeeeeeeee aaa eeeeeeaaeeeeeeeeeeeee aaa eeeeeeaageeeeeeeeeeee aag eeeeeeaaaeeeeeeeeeeee aaa eeeeeeeaaeeeeeeeeeeee caac eeeeeeebbgeeeeeeeeeee aaa eeeeedbbbaeeeeeeeeeee gaac eeedbbbbbbeeeeeeeeeee aaa edbbbbbdbbgeeeeeeeeee gaa dbbbbbeeebbaeeeeeeeeee aag dbbbbbeeeeebbbeeeeeeeeee aaa dbbbbbeeeeeeedbbgeeeeeeeee caag dbbbbd eeeeeeeeebbaeeeeeeeee aaa dbbbbd eeeeeeeeebbbeeeeeeeee caac dbbbbd eeeeeeeeedbbgeeeeeeee aaa dbbbbd eeeeeeeeeebbbeeeeeeee gaa dbbbbd eeeeeeeeeebbbeeeeeeee aaa dbbbbd eeeeeeeeeedbbgeeeeeee aaa dbbbbd eeeeeeeeeeebbbeeeeeee aag dbbbbd eeeeeeeeeeebbbeeeeeee aaa dbbbbd eeeeeeeeeeefbbgeeeeee caac dbbbbd eeeeeeeeeeeebbbeeeeee aaa bbbbbd eeeeeeeeeeeebbbeeeeee caac bbbbbd eeeeeeeeeeeefbbgeeeee ffffffffffaaafe bbbbbd eeeeeeeeeeeeebbbeeeee eeeeeeeeegaaeef bbbbbd eeeeeeeeeeeeebbbeeeee eeeeeeeeeaaaeef bbbbbd eeeeeeeeeeeeefbbgeeee eeeeeeeeaaaeeef bbbbbd eeeeeeeeeeeeeebbbeeee eeeeeeeeaageeef bbbbbd eeeeeeeeeeeeeebbbeeee eeeeeeeaaaeeeef bbbbbd eeeeeeeeeeeeeeebbgeee eeeeeeeaageeeef bbbbbd eeeeeeeeeeeeeeebbbeee eeeeeeaaaeeeeef bbbbbd eeeeeeeeeeeeeeebbbeee eeeeegaaeeeeeef bbbbbd eeeeeeeeeeeeeeeedeeee eeeeeaaaeeeeeef bbbbbd eeeeeeeeeeeeeeeeeeeee eeeeaaaeeeeeeefbbbbbd eeeeeeeeeeeeeeeeeeeee eeeeaaaeeeeeebbbbbd fffffffffffffffffffff eeeaaaeeeeebbbbbd eeeaageeebbbbbd eeaaaeebbbbbdef eeegdbbbbbdeeef eeebbbbbdeeeeef eebbbbdeeeeeeef eeebdeeeeeeeeef ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#d83d8dff b,#774e99ff c,#e893bfff d,#f5eaf2ff e,#f0c3dbff f,#b199c4ff g,#e067a6ff ``` ```image daaaaag caaaaad daaaaac gaaaaad eaaaaac gaaaaa eaaaaae daaaaag caaaaae daaaaag caaaaad eaaaaac gaaaaad eaaaaac gaaaag caaaaae daaaaag caaaaae daaaaac gaaaaad eaaaaac gaaaaad eaaaaae d aaaaag dfb caaaaae dfbbb daaaaag dfbbbbb caaaaad dfbbbbbbb daaaaac dfbbbbbbbbb gaaaaad dfbbbbbbbbbbf eaaaaac dfbbbbbbbbbbfd dcaaaa dfbbbbbbbbbbfd dcacfbbbbbbbbbbfd dfbbbbbbbbbbfd dfbbbbbbbbbbfd ebbbbbbbbbbfd bbbbbbbbfd fbbbbbfd bbbfd ```  It's a shame, but area A doesn't contain an intersection. Now, let's scrutinize the next spot. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#d73d8dff b,#774d99ff c,#dcacceff d,#a184b8ff e,#eedae9ff f,#a74995ff g,#de73adff ``` ```image gaaaac caaaaa eaaaaae gaaaac caaaaa eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae gaaaac caaaag eaaaaae aaaaac caaaag eaaaaae aaaaac gfbbag edbbbbba edbbbbbbbfc edbbbbbbbbbfg edbbbbbbbbbbbba edbbbbbbbbbbbbbbfc edbbbbbbbbbbcdbbbbfg edbbbbbbbbbbc ebbbbba dbbbbbbbbbbc bbbbbfc bbbbbbbbbc dbbbbbg bbbbbbbc ebbbbba bbbbbc bbbbbfc bbbc dbbbbbg bc ebbbbba bbbbbfc cbbbbbg ebbbbba dbbbbfc cbbbbbg ebbbbba dbbbbfc cbbbbbg ebbbbba dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe cbbbbbg bbbbbf dbbbbfe ebbbbbg bbbbbf dbbbbfe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf dbbbbbe ebbbbbg bbbbbf cbbbbbe ebbbbbg bbbbbf cbbbbd ebdc ```  I don't observe any intersections inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#d73d8dff b,#774d99ff c,#e899c3ff d,#906eacff e,#f3d3e5ff f,#ad95c2ff g,#e069a7ff ``` ```image aac caaae aaaaae aaa aaae gaae aaa caag eaaa aaa eaaa aaa eaaa gaac caaa eaaa caaa aaa gaaa aaae gaaa gaac gaag eaaa aaag aaa aaag aaae aaac caag aaac eaaa aaae aaa aaae aaae aaa caag gaa aaa aae gaa aaa aag gaa aaa aae eaac aaa aaa gaa caae aae aaa aaa gaae gaa aaa aae aaa aag aag gaa aaa eaae eaac aag aaa gaa caae eaae aaa aag gaa gaa aag eaae aaa aag eaag gaa aaa eaa eaac bbg aaa dbbba caae dbbbbbb aaa dbbbbdfbbg gaa dbbbbd bba aag dbbbbd bbb aaa dbbbbd fbbg eaac dbbbbd bba aaa dbbbbd bbb caae dbbbbd fbbg aaa dbbbbd bbb gaae dbbbbd bbb aaa dbbbbd fbbg gaa dbbbbd bbb aag dbbbbd bbb aaa dbbbbd ebbc eaac dbbbbd bbb aaa dbbbbd bbb caae dbbbbd ebbc aaa dbbbbd bbb gaa bbbbbd bbb aaa bbbbbd ebbc aaa bbbbbd bbb eaag bbbbbf bbb aaa bbbbbf ebbc eaac bbbbbf bbb aaa bbbbbf dbb caae bbbbbf d aaa bbbbbf gaa bbbbbf aag bbbbbf aaa bbbbbf eaac bbbbbf aaa ebbbbbf gcbbbbbf ebbbbbf bbbbf bf ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#76ac53ff b,#eed761ff c,#bdd6acff d,#f8f2d0ff e,#d9e8d0ff f,#9fc587ff g,#f3e395ff ``` ```image dg bbbg bbb bbbb bbb gbbb bbbd gbbb bbbd dbbb bbbg dbbb dbbbg ddgggbbbbbbbbbbbbb dddggbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg dddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd ddgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdd bbbbbbbbbbbbbbbbbgggdd bbbggddd aac caaa caaae faaaa aaaaa aaaaaf aaaaaa aaaaaae aaafaaa aaa aaa aaa aaaf aaa eaaa a eaaa aaae aaa caaa faaa eaaaaf caaf aaa caaaac faac aaaf aaaaad aaac eaaa aaaaa aaae aaae eaaaaf aaa faaa caaaac aaa aaa aaaaad aaa aaaf aaaaa f aaa eaaa eaaaaf aaa aaa aaae faaaac aaae aaa faaa aaaaa faaa eaaa aaa aaaaa aaa eaaa aaaf eaaaaf aaac caaf eaaa faaaac caaa faaf aaae aaaaa aaa aaac faaa aaaaa aaac aaae aaa eaaaaf caaa aaa aaaf faaaae aaa aaa eaaa aaaaa aaac aaa aaae aaaaa caaa aaa faaa eaaaaf aaa aaa aaa faaaae aaafaaa aaaf aaaaa eaaaaaa eaaa aaaaa aaaaaa aaae eaaaaf aaaaaf faaa faaaae eaaaaf aaa aaaaa aaaac aaaf aaaaa aaaae eaaa eaaaaf eaaad aaaa faaaae aaa eaaae aaaaa caa aaaa aaaaa aaaf caaaaf caaa faaaae aaaa aaaaa aaaaaaaa faaaaaf aaaae eaa ```

[ "" ]

I'm examining this image closely. My goal: find any and all intersections. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#f67420ff b,#96d1feff c,#f6a167ff d,#d2ebffff e,#b1d7b2ff f,#97c995ff g,#fbceb1ff ``` ```image dbd dbbbb bbbbd bbbbb dbbbb dbbbb bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd db bbbbb bbbb dbbbb bbbbbbd dbbbbd bbb bbbb bbbbd dbbd dbbbb bbbbb bbb bbbbd dbbbb bbb dbbbb dbbbbd bbb bbbbb bbbbd dbbd bbbbbbbbb bbb dbbbbb bbb bbd bbb dbbd ffffffffffbbbe eeeeeeeeebbbef eeeeeeeebbbeef eeeeeeeebbbeef eeeeeeebbbeeef eeeeeebbbeeeef c eeeeebbbeeeeef gaaa eeeeebbbeeeeef gaaaag eeeebbbeeeeeef aaaac eeebbbeeeeeeef caaaa eeebbeeeeeeeef gaaaa eeebbeeeeeeeef aaaag eeeefeeeeeeeef aaaac eecaaeeeeeeeef caaaa eeeaaeeeeeeeef gaaaag eeeaaceeeeeeef aaaac eeeaaaeeeeeeef caaaa ffffaafffffffe gaaaa aag aaaag aaa aaaac gaa caaaa aag gaaaa aaa aaaag gaa aaaac aa caaaa aac gaaaag gaa aaaac aa caaaa aac gaaaa gaa aaaag aa aaaac aac caaaa gaa gaaaa aa aaaag aac aaaac caa caaaa aa gaaaag aag aaaac caa caaaa aa gaaaa aag aaaag caa aaaac aa caaaa aag gaaaa caaaaaag aaaac aaag aaa c ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#f7731eff b,#95d1feff c,#f8985aff d,#cde9ffff e,#b0dcffff f,#e9f5ffff g,#f9c9a9ff ``` ```image bbbbb ebbbbb dbbbbbf fbbbbbd ebbbbe ebbbbbf dbbbbbf fbbbbbd ebbbbe dbbbbbf fbbbbbd fbbbbbe ebbbbe dbbbbbf fbbbbbd bbbbbe ebbbbb dbbbbbf fbbbbbd bbbbbe ebbbbb dbbbbbf bbbbbd fbbbe febf gg gcaac caaaa gaaaag aaaac caaaa gaaaag aaaac caaaa ```  Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#f6731fff b,#96d2ffff c,#f9ab78ff d,#d1ebffff e,#fde9ddff f,#f8904dff g,#fbcaabff ``` ```image dbd dbbbb bbbbd bbbbb dbbbb dbbbb bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd bbbbb dbbbb dbbbbd bbbbd db bbbbb bbbb dbbbb bbbbbbd dbbbbd bbb bbbb bbbbd dbbd dbbbb bbbbb bbb bbbbd dbbbb bbb dbbbb dbbbbd bbb bbbbb bbbbd dbbd bbbbbbbbb bbb dbbbbb bbb bbd bbb dbbd bbb bbb dbb bbd bbb bbb fe dbb gaaa bbd eaaaag bbb aaaac bbb caaaa dbbd gaaaae dbb eaaaag eg faaaf faa caaaa eaa gaaaae aag aaaac faa faaaf eaa gaaaae aag eaaaag faa aaaac eaa caaaa aae gaaaae aaf eaaaag gaa faaaf aae caaaa aaf eaaaae gaa aaaac aae faaaf aaf gaaaae gaa eaaaag aa aaaac aac caaaa caa gaaaae aa eaaaag aac faaaf caa caaaa aa eaaaae aac aaaac caa faaaf aa gaaaae aag eaaaag faa aaaac eaa caaaa aag gaaaae faaaaaag eaaaaf aaae faa f ```

[ "" ]

Time to put on my detective hat and find those intersection points! These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#d1a04bff b,#92f71bff c,#e2c48fff d,#b3f765ff e,#eaeec8ff f,#b1d7b0ff g,#97cc94ff ``` ```image ea caaac aaaac caaaae aaaac eaaaae caaaa eaaaac caaaae aaaac eaaaae caaac eaaaac caaaa aaaac eaaaae caaac eaaaae caaaa aaaac caaaae aaaac eaaaae caaaa aaac eac aa eac aa eac aa eac aa eac aa e cac ebd aa ebb cac bb aa bbe cae bbe aa bbf cae bbd aa bbd cae dbb aa dbb cae ebb aa ebb cae bb aa bb aae bbe aa bbe aa bbd aa bbd aa dbb aa dbb aa fbb aa dbb fgggggggaagggggg ebbbb gfffffffaaffffff bbbbbe gffffffaafffffff dbbbbf gffffffaafffffff ebbbbd gfffffaaffffffff dbbbbe gfffffaaffffffff dbbbbf gffffaafffffffff ebbbbd gffffaafffffffff dbbbbe gfffaaffffffffff dbbbbf gfffaaffffffffff ebbbbd gffaafffffffffff dbbbbe gffaafffffffffff dbbbbd gfffffffffffffff ebbbbd gfffffffffffffff dbbbbe gfffffffffffffff dbbbbd gfffffffffffffff ebbbbd gfffffffffffffffedbbbbe gfffffffffffffdbbbbd gffffffffffgbbbbd gffffffffbbbbbgf gfffffdbbbbdffff gffgbbbbbfffffff gffbbbgfffffffff gffdffffffffffff gfffffffffffffff gfffffffffffffff ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#d1a04aff b,#91f819ff c,#debc81ff d,#bffa7aff e,#f0f1d5ff f,#a4f841ff g,#dfefb1ff ``` ```image aaaa caaag aaaa caaag aaaa caaag eaaaa caaag eaaaa caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac caaae eaaac gaae e e edfb gfbbbb edbbbbbbb edfbbbbbbbfd gfbbbbbbbbdg edbbbbbbbbfg edfbbbbbbbfde gfbbbbbbbbdg edbbbbbbbbfg efbbbbbbbfde bbbbbbdg dbbfg ede ```  Area A doesn't meet the criteria for an intersection. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#d19f49ff b,#91f719ff c,#e7cda1ff d,#c7fa8aff e,#ebf0caff f,#abf94fff g,#dcb675ff ``` ```image ea caaag aaaac caaaae gaaag eaaaae gaaag eaaaac caaaae gaaag eaaaae gaaag eaaaac caaaa aaaac caaaae gaaag eaaaac caaaa aaaac caaaae gaaag eaaaae gaaag aaac eag aa eag aa eag aa eac aa cac aa e cac ebf aa ebb cac bb aa bbe cac bbe aa bbd cae bbf aa fbf gae fbb aa dbb gae ebb aa ebb gae bb aa bb gae bbe aa bbd ga bbd aa bbf aa fbf aa dbb aa dbb aa dbb aa ebbbb aa fbbbbe aa dbbbbd ag ebbbbf aa fbbbbe eag dbbbbd aa ebbbbf eag fbbbbe aa dbbbbd eag ebbbbf aa fbbbbe eag dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf fbbbbe dbbbbd ebbbbf bbbe d ```

[ "" ]

The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#03f9d5ff b,#65f137ff c,#45f8dbff d,#acdaabff e,#8ffcecff f,#d5fce5ff g,#92f373ff ``` ```image ffddgg ffdgggbbbbbbbbbbbbbbdd fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdd ffdgggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdd dbbbbbbbbggddff fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggdddddddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddff dddddddddddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdff ddddaacddddddddd bbbffddggbbbbbbbbbbbbggddf ddddaaaadddddddd bbb dddcaaaaacdddddd bbb dddaaaaaaaaddddd bbb dddaaacaaaaaaddd fbbb dddaaaddaaaaaadd dbbb dddaaaddddaaaacd dbbb ddcaaadddddaaadd gbbb ddaaaadddddddddd gbbb ddaaacdddddddddd bbbg ddaaaddddddddddd bbbg ddaaaddddddddddd bbbd ddaaaddddddddddd bbbf eaaa bbb aaac bbb aaae bbb aaaf bbb aaa fbbb eaaa dbbb caaa gbbb aaac gbbb aaae bbbg aaa bbbg faaa bbbd eaaa bbbd caaa bbbf aaac bbb aaaf bbb aaa bbb faaa fbbb caaa fbbb aaac dbbb aaae gbbb aaaf gbbb aaa bbbg eaaa bbbg caaa bbbd aaac bbbf aaae bbbf aaa ggb faaa aaaf eaaa caaaac caaa eaaaaaaa aaae aaaaaaaaae aaaf aaaa aaaaaa aaa aaaae eaaaaaf faaa caaac aaaaac caaa eaaaa caaaaa aaac faaaa faaaaae aaae aaaa aaaaaa aaa aaaae eaaaaaf aaa caaac aaaaac eaaa eaaaa caaaaa caaa faaaa faaaaae aaac aaaa aaaaaa aaae aaaaf eaaaaaf aaa aaaac aaaaac faaa eaaaa caaaaa eaaa faaaa faaaaae aaaa aaaa aaaaaa aaae aaaaf eaaaaaf aaaf aaaae aaaaac aaa caaaa caaaaaeaaa faaaa eaaaaaaaa aaaa aaaaaac aaaaf aaaaae aaaae aaaaa caaac caaaa eaaaa faaaa aaaa aaaa aaaaf aaac aaaae eaa caaac eaaaa caa e ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#02fad5ff b,#66f238ff c,#3afaddff d,#a0f683ff e,#76fbe8ff f,#b9fdf3ff g,#d5fbc8ff ``` ```image ggggddddddbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbbdddddggggg bbdddddgggg ff faaaae aaaaaacf faaaaaaaae eaaaaaaaaaaf caaaaaaaaaaac caaaaaaaaaaaaaf aaaaaaaaaaaaaaac faaaaaaaaaaaaaaaaae faaaaaacaaaaaaaaaaacf eaaaaaaf caaaaaaaaaaae caaaaaa faaaaaaaaaaacf aaaaaac eaaaaaaaaaaa aaaaaac fcaaaaaaaae faaaaaae eaaaaaac eaaaaaaf fcaaaaf eaaaaaaf eaae caaaaaa fc aaaaaac faaaaaae faaaaaae eaaaaaaf caaaaaa caaaaaa ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#03fad5ff b,#65f237ff c,#48fae0ff d,#b9f8a4ff e,#91fcecff f,#d5fce8ff g,#8ff56eff ``` ```image fddgg ffddggbbbbbbbbbbbbbb fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ffddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dbbbbbbbbggddff fddggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggddff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggdddf aae bbbffddggbbbbbbbbbbbbggddf eaaaa bbb caaaaac bbb aaaaaaaaf bbb aaacaaaaac fbbb aaa aaaaaaf dbbb aaa faaaae dbbb eaaa caa gbbb caaa f gbbb aaac bbbg aaaf bbbd aaa bbbd faaa bbbf caaa bbb aaaa bbb aaae bbb aaaf bbb aaa fbbb eaaa dbbb caaa dbbb aaac gbbb aaae bbbg aaa bbbg faaa bbbd eaaa bbbd caaa bbbf aaac bbb aaaf bbb aaa bbb faaa fbbb caaa fbbb aaac dbbb aaae gbbb aaaf gbbb aaa bbbg eaaa bbbg caaa bbbd aaac bbbd aaae bbbf aaa dgb faaa aaaf eaaa caaaac aaaa eaaaaaaa aaac faaaaaaaaae aaaf aaaa aaaaaa aaa aaaae eaaaaaf faaa caaac aaaaac caaa eaaaa caaaaa aaac faaaa faaaaae aaae aaaa aaaaaa aaa aaaae eaaaaaf aaa caaac aaaaac eaaa eaaaa caaaaa caaa faaaa faaaaae aaac aaaa aaaaaa aaae aaaaf eaaaaaf aaa aaaac aaaaac faaa caaaa caaaaa eaaa faaaa faaaaae aaaa aaaa aaaaaa aaae aaaaf eaaaaaf aaaf aaaae aaaaac aaa caaaa caaaaaeaaa faaaa eaaaaaaaa aaaa aaaaaac aaaaf aaaaae aaaae aaaaa caaac caaaa eaaaa faaaa aaaa aaaa aaaaf aaac aaaae eaa caaac eaaaa caa e ```

[ "" ]

I have an image in front of me. I need to determine if there are any intersection segments. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#478f91ff b,#115434ff c,#b2d7b2ff d,#76a89bff e,#ecf4eeff f,#41785cff g,#a4cea8ff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eggggggggggggggggggggggggggggggge egcccccccccccccccccccccccccccccge eac egcccccccccccccccccccccccccccccge eaaae egcccccccccccccccccccccccccccccge eaaaad egcccccccccccccccccccccccccccccge caaaad egcccccccccccccccccccccccccccccge gaaaag dgcccccccccccccccccccccccccccccge daaaac daacccccccccccccccccccccccccccccge daaaae caaaagcccccccccccccccccccccccccccge aaaaae aaaaagccccccccccccccccccccccccccge aaaaae daaaadcccccccccccccccccccccccccge aaaaa edaaaaaccccccccccccccccccccccccge aaaaa eggaaaaacccccccccccccccccccccccge eaaaaa egcgaaaaaccccccccccccccccccccccge eaaaaa egcccaaaaagccccccccccccccccccccge eaaaad egccccaaaaadcccccccccccccccccccge caaaad egcccccdaaaadccccccccccccccccccge gaaaag egccccccdaaaaacccccccccccccccccge daaaac egcccccccgaaaaaccccccccccccccccge daaaae egcccccccccaaaaagccccccccccccccge aaaaae egccccccccccaaaaagcccccccccccccge aaaaa egcccccccccccaaaaadccccccccccccge aaaaa egccccccccccccdaaaaacccccccccccge aaaaa bdcccccccccccccgaaaaaccccccccccge eaaaaa bbbdcccccccccccccgaaaaacccccccccge eaaaaa cbbbbgccccccccccccccaaaaagcccccccge caaaad gbbbbgccccccccccccccaaaaadccccccge caaaad dbbbbgccccccccccccccdaaaadcccccge gaaaac efbbbbcccccccccccccccdaaaaaccccge daaaac egfbbbbcccccccccccccccgaaaaacccge daaaae egcfbbbbccccccccccccccccaaaaagcge aaaaae egccbbbbbccccccccccccccccaaaaadge aaaaa egcccbbbbbccccccccccccccccaaaaade aaaaa egccccbbbbbccccccccccccccccdaaaaa aaaaa egcccccbbbbbccccccccccccccccgaaaaa eaaaaa egccccccbbbbfccccccccccccccccgaaaaae eaaaaa egcccccccbbbbfcccccccccccccccccaaaaae caaaad egcccccccgbbbbfccccccccccccccccgaaaaag caaaad egccccccccgbbbbdcccccccccccccccgedaaaaaaaaac egcccccccccgbbbbdccccccccccccccge caaaaaaac egccccccccccdbbbbdcccccccccccccge eaaaaae egcccccccccccdbbbbgccccccccccccge aaae egccccccccccccdbbbbgcccccccccccge e eggggggggggggggfbbbbgggggggggggge eeeeeeeeeeeeeeefbbbbeeeeeeeeeee fbbbb fbbbb bbbbb bbbbb bbbbf bbbbf d bbbbf dbf bbbbd gbbbb ebbbbd cbbbbe ebbbbc ebbbbc cbbbbc ebbbbg cbbbbe bbbbd gbbbbe bbbbf dbbbbe bbbbf abbbb bbbbb fbbbb bbbbb fbbbb fbbbb bbbbb fbbbb bbbbb dbbbb bbbbf gbbbbe bbbbf cbbbbe bbbbf ebbbbc bbbbd ebbbbg ebbbbd bbbbd ebbbbg bbbbf cbbbbc bbbbf cbbbbe bbbbb gbbbbe bbbbb dbbbbe fbbbb abbbb abbbb fbbbb dbbbb fbbbb gbbbbe bbbbb cbbbbe bbbbbebbbbc bbbbbbbbg bbbbbbd bbbbf bbf ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#468f91ff b,#115434ff c,#bcd3d1ff d,#6da29fff e,#e0ebeaff f,#3c7359ff g,#95bbb7ff ``` ```image de aac aaag aaaag aaaaade aaaaaade aaaaaaaac aaaaaaaaac daaaaaaaaag daaaaaaaaad gaaaaaaaaade caaaaaaaaaae caaaaaaaaaac edaaaaaaaaag edaaaaaaaaag gaaaaaaaaade gaaaaaaaaade caaaaaaaaaac eaaaaaaaaaac edaaaaaaaaag daaaaaaaaad gaaaaaaaaade caaaaaaaaaae caaaaaaaaaac edaaaaaaaaag edaaaaaaaaag gaaaaaaaaade gaaaaaaaaaae caaaaaaaaaac eaaaaaaaaaac edaaaaaaaaag daaaaaaaaad gaaaaaaaaade gg caaaaaaaaaae bbg eaaaaaaaaaac bbbg edaaaaaaaaag bbbbc daaaaaaaaad bbbbbc gaaaaaaaaade bbbbbbc caaaaaaaaaae bbbbbbbe caaaaaaaaaac bbbbbbbfe eaaaaaaaaaag bbbbbbbbfe edaaaaaaaaag dbbbbbbbbfe gaaaaaaaaade dbbbbbbbbf gaaaaaaaaade dbbbbbbbbf caaaaaaaaaac abbbbbbbba eaaaaaaaaaac fbbbbbbbbd edaaaaaaaaag fbbbbbbbbd daaaaaaaaad efbbbbbbbbd gaaaaaaaaade efbbbbbbbbg caaaaaaaaaae efbbbbbbbbg caaaaaaaaaac ebbbbbbbbbc edaaaaaaaaag cbbbbbbbbbc edaaaaaaaaa cbbbbbbbbbc gaaaaaaaa cbbbbbbbbbe gaaaaaaa gbbbbbbbbfe caaaaaa gbbbbbbbbfe eaaaaa gbbbbbbbbfe edaaa dbbbbbbbbf daa dbbbbbbbbf ga abbbbbbbba c fbbbbbbbbd fbbbbbbbbd efbbbbbbbbd efbbbbbbbbg efbbbbbbbbg ebbbbbbbbbc cbbbbbbbbbc cbbbbbbbbbc cbbbbbbbbbe gbbbbbbbbfe gbbbbbbbbfe gbbbbbbbbfe dbbbbbbbbf dbbbbbbbbf ```  I had hoped to find an intersection in area A, but there isn't one. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#468f90ff b,#115434ff c,#bbd3cfff d,#6ca09bff e,#e1ebeaff f,#3f755bff g,#93b8b2ff ``` ```image ac eaaae eaaaad caaaag gaaaag d daaaac gaa daaaae caaaae aaaaae aaaaac aaaaa daaaag aaaaa gaaaad aaaaa caaaaa eaaaaa eaaaaa eaaaad aaaaae caaaad aaaaac caaaag daaaad gaaaag caaaaa daaaac eaaaaa daaaae aaaaae aaaaae aaaaac aaaaa daaaag aaaaa gaaaad aaaaa bg eaaaaa eaaaaa bbbc aaaaa eaaaad cbbbbc aaaaae caaaad gbbbbe daaaac caaaag gbbbbe gaaaad gaaaac dbbbb caaaaa daaaac fbbbb eaaaaa daaaae fbbbb aaaaae aaaaae fbbbb aaaaac aaaaa bbbbb daaaag aaaaa bbbbb gaaaad aaaaa bbbbf eaaaaa eaaaaa bbbbf aaaaa eaaaad bbbba aaaaae caaaad bbbbd daaaag caaaag ebbbbg gaaaaaaaaac ebbbbc caaaaaaac cbbbbc eaaaaae gbbbbe aaae gbbbbe e dbbbb fbbbb fbbbb fbbbb bbbbb bbbbb bbbbf bbbbf g bbbbf dbf bbbbd gbbbb ebbbbg cbbbbe ebbbbc ebbbbc cbbbbc ebbbbg cbbbbe bbbbd gbbbbe bbbbf dbbbb bbbbf abbbb bbbbb fbbbb bbbbb fbbbb fbbbb bbbbb abbbb bbbbb dbbbb bbbbf gbbbbe bbbbf cbbbbe bbbbf ebbbbc bbbbd ebbbbg ebbbbg bbbbd ebbbbg bbbbf cbbbbc bbbbf cbbbbe bbbbb gbbbbe bbbbb dbbbb fbbbb abbbb abbbb fbbbb dbbbb fbbbb gbbbbe bbbbb cbbbbe bbbbbebbbbc bbbbbbbbg bbbbbbd bbbbf bbf ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#f613bbff b,#8aa3d7ff c,#fa8cddff d,#bdcbe8ff e,#eee8f6ff f,#f74ccbff g,#fcc1ecff ``` ```image caa aaa aag faa eac aaf gaaaae gaa caaaaaaf aaa caaa gaaaac aac faaa faaaae caa faaa aaaaf aaa aaaa gaaaac eaag aaaf faaaae faa aaaf aaaaf aaf aaaf gaaaac gaa aaac faaaae aaa eaaag aaaaf aag gaaag gaaaae faa gaaae faaf aaf caaa faa gaae caaa aag aaa faaa aaa aac faaa caa caa aaaa aag aaa aaaf aaa aag aaaf caafaa aaaf aaaaf aaac aaaa eaaag caaa gaaag aac gaaae cf caaa caaa faaa faaa aaaa aaaf aaaf aaac aaac eaaag gaaag gaaae ebd caaa bbbb faaa dbbbbe faaa ebbbbd faaa bbbbb aaaa bbbbb eaf dbbbbe g ebbbbd bbbbb dbbbbe dbbbbd ebbbbb bbbbb dbbbbe ebbbbd bbbbb bbbbbe dbbbbd ebbbbd bbbbb dbbbbe dbbbbd ebbbbb bbbbb dbbbbe ebbbbd bbbbb dbbbbe dbbbbd ebbbbd ebbbbb ebbbbbbbe edbbbbbbbbd edbbbbbbbbbe dbbbbbbbbbe dbbbbbbbbbd dbbbbbbbbbd dbbbbbbbbbd dbbbbbd ebde ```

[ "" ]

Alright, let's get to work and investigate this image for intersections. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#907674ff b,#5c0321ff c,#c894baff d,#b1d7b1ff e,#e112c0ff f,#753748ff g,#98c696ff ``` ```image c ccceeeeeeeeee ggggggggggggggggggggggggggggggggggggggggggggggggggggggggceeeeeeeeeeecc ddddddddddddddddddddddddddddddddddddddddddddddddddddddddecddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddddceddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddddedddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddddeddddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddceddddddddddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddddedddddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddcedddddddddddddddg dddddddddddddddddddddddddddddddddddddddddddddddddddecdddddddfdddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddceddddddgbbaddddddg ddddddddddddddddddddddddddddddddddddddddddddddddddecdddddfbgafddddddg dddddddddddddddddddddddddddddddddddddddddddddddddcedddddbbdddbddddddg dddddddddddddddddddddddddddddddddddddddddddddddddecdddabaddddbddddddg dddddddddddddddddddddddddddddddddddddddddddddddddedddbbddddddbddddddg ddddddddddddddddddddddddddddddddddddddddddddddddecdabadddddddbddddddg ddddddddddddddddddddddddddddddddddddddddddddddddedbbdddddddddfadddddg ddddddddddddddddddddddddddddddddddddddddddddddceabfddddddddddafdddddg dddddddddddddddddddddddddddddddddddddddddddddeefbddddddddddddgbdddddg ddddddddddddddddddddddddddddddddddddddddddddeebfddddddddddddddbdddddg ddddddddddddddddddddddddddddddddddddddddddcefbgdddddddddddddddbdddddg dddddddddddddddddddddddddddddddddddddddddeebfdddddddddddddddddbdddddg ddddddddddddddddddddddddddddddddddddddddefbgddddddddddddddddddfaddddg ddddddddddddddddddddddddddddddddddddddcebbddddddddddddddddddddafddddg dddddddddddddddddddddddddddddddddddddefbadddddddddddddddddddddgbddddg ddddddddddddddddddddddddddddddddddddebbddddddddddddddddddddddddbddddg ddddddddddddddddddddddddddddddddddcebadddddddddddddddddddddddddbddddg dddddddddddddddddddddddddddddddddebbdddddddddddddddddddddddddddbddddg ddddddddddddddddddddddddddddddddebfddddddddddddddddddddddddddddbgdddg dddddddddddddddddddddddddddddddebfdddddddddddddddddddddddddddddafdddg ddddddddddddddddddddddddddddddeabddddddddddddddddddddddddddddddgbdddg dddddddddddddddddddddddddddddecbddddddddddddddddddddddddddddddddbdddg ddddddddddddddddddddddddddddeebaddddddddddddddddddddddddddddddddbdddg dddddddddddddddddddddddddddeefbdddddddddddddddddddddddddddddddddbdddg ddddddddddddddddddddddddddcegbddddddddddddddddddddddddddddddddddbgddg dddddddddddddddddddddddddcedbgddddddddddddddddddddddddddddddddddfaddg dddddddddddddddddddddddddedbfdddddddddddddddddddddddddddddddddddabddg ddddddddddddddddddddddddedabdddddddddddddddddddddddddddddddddddddbddg dddddddddddddddddddddddecdbddddddddddddddddddddddddddddddddddddddbddg ddddddddddddddddddddddecdbaddddddddddddddddddddddddddddddddddddddbddg dddddddddddddddddddddeedffdddddddddddddddddddddddddddddddddddddddbgdg b ddddddddddddddddddddeedgbddddddddddddddddddddddddddddddddddddddddfadg b dddddddddddddddddddceddbgddddddddddddddddddddddddddddddddddddddddafdg af ddddddddddddddddddceddbaddddddddddddddddddddddddddddddddddddddddddbdg b ddddddddddddddddddeddabdddddddddddddddddddddddddddddddddddddddddddbdg b dddddddddddddddddeddgbddddddddddddddddddddddddddddddddddddddddddddbdg db ddddddddddddddddecddbgddddddddddddddddddddddddddddddddddddddddddddbgg fc dddddddddddddddecddffdddddddddddddddddddddddddddddddddddddddddddddfag b ddddddddddddddeeddabddddddddddddddddddddddddddddddddddddddddddddddafg b dddddddddddddeedddbdddddddddddddddddddddddddddddddddddddddddddddddgbg cf ddddddddddddcedddbaddddddddddddddddddddddddddddddddddddddddddddddddbg bd dddddddddddcedddfbdddddddddddddddddddddddddddddddddddddddddddddddddbg b ddddddddddcedddgbddddddddddddddddddddddddddddddddddddddddddddddddddbg b ddddddddddeddddbgddddddddddddddddddddddddddddddddddddddddddddddddddfa aa dddddddddecdddbfdddddddddddddddddddddddddddddddddddddddddddddddddddaf b ddddddddecdddabddddddddddddddddddddddddddddddddddddddddddddddddddddgb b dddddddeeddddbddddddddddddddddddddddddddddddddddddddddddddddddddddddb cf ddddddeeddddbaddddddddddddddddddddddddddddddddddddddddddddddddddddddb bc dddddceddddffdddddddddddddddddddddddddddddddddddddddddddddddddddddddb b ddddceddddgbddddddddddddddddddddddddddddddddddddddddddddddddddddddddbc b dddcedddddbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddfa aa dddedddddbadddddddddddddddddddddddddddddddddddddddddddddddddddddddddab b ddecddddfbddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb b decddddgbdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb cb eedddddbgdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgb fc eedddddbfddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgbcb c cb aab b cba bc b ff b db b ba ab b bd ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#9c6477ff b,#5d0321ff c,#ed5cd6ff d,#c2a1acff e,#e40dc2ff f,#7c2b4aff g,#efc8e6ff ``` ```image gceeeeeeeeeeeeeeecc eeeeeeeccccggg eec ee ec ge ec ee gee cec gee geeg cec eeg ec cc geg ce gee gf cec dbbd cec bbbdaa eeg abfg df ec dbba gb geg abbf bg geg abbd bd ce gfbb ba gee dbbbd bf cec gbbfg bf geeg dbbd bb geeg bbba fbd eec abfg aba ceedfba dba cecabbb dbf eeeabbd bbg cecfbfg fbd geeabbb aba geeebbfg aba geefbbg gbb geebbba bb ceebbfd fb ceebba ab gefbbd ab cefbbd gb geefbfg bg eebbb fd cfbbfg ad gefbfg df ebbb gb gebbbd bg gefba bd ceeba bd ceabb bf cedbbd bb geebba bb geecbf bbg eecgbd aba eegfb dbf cegabb dbf cegdbbd gbb geegfbf fbd eec bbg aba gec dbd dba gec fa dbf ee ab gbb ceeggbba fbd ceeg fbf aba eeg bbg aba gec dbd dbf gee fb bb eee abb fb cee gbbd ab eeg fba ab ceg abb db gee gba bg geec ff fd geec abg fd eee dbb aa ceg fbf gb ceg bbg bg cee gbd bd geec ff bd gec dbb bf ec gbba bb ce fbf bb cee abbg bb ceeg bbd fb eec af db gec dbg db gec gbb gb ee fbf b ceeg bbd a eeg gba d ceg ff d gec dbg g gee gbb eec abbg eee dbbd eeg bba ceg bf gee dbd geec bb eec abf ec dbbg ceg bf cee abg ceeg dbd geec gbb eec fbf gec gbbd ee fba ```  There is no intersection present within area A. Answer: A: 0; 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#a47282ff b,#5d0321ff c,#ee65d9ff d,#c6a5b0ff e,#e40fc3ff f,#823753ff g,#f0cbe7ff ``` ```image gg ggcceeeeeeeeee geeeeeeeeeeccgg egg ge e ge e ge eg ge eg ge eg f ge gbbd eg fbgdf ge bf b eg abd b ge bb b eg dbd b ge bb fd cedba af eefb gb eebf b gefbg b eebf b efbd fd gebb aa cfbd gb ebb b geba b cbb b ebf bd eff aa edb db ecb b ecba b ceab b cegb bg ge bg aa ge bf df egdb b eg b b ec bd b ec ff bg b ce gb fa b ce bg df af ge ba b bg ge ab b b e gb b gb eg bg bg fa ec ff fd b ec db df b ee b gb df ce bd b bg ge fb b b ge gb b gb e bg fd fa eg ba af b ec ab gb b ec b b df ee bd b bd ce ff b b ge db fd b ge b aa aa e ba gb b eg ab b b ec gb b db ec bg b fd ee bf bdb g db aab b dbf bd bg ff b gb bg ba ab b bg ```

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This image looks interesting. I wonder if there are any intersections hidden in there? There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#b0d7b0ff b,#84e747ff c,#8ece91ff d,#d0edcdff e,#b3f28bff f,#62e50fff g,#eff7eeff ``` ```image e bffg dffe bfbg effe gcccccccccccccccccccca gffe gaaaaaaaaaaaaaaaaaaaac bfb gaaaaaaaaaaaaaaaaaaaac effg gaaaaaaaaaaaaaaaaaaaac effd gaaaaaaaaaaaaaaaaaaaac dffe gaaaaaaaaaaaaaaaaaaaac gffe gaaaaaaaaaaaaaaaaaaaac bfbgaaaaaaaaaaaaaaaaaaaac effaaaaaaaaaaaaaaaaaaac gcffcaaaaaaaaaaaaaaaac gaacffcaaaaaaaaaaaaaac gaaaaaffbaaaaaaaaaaaac gaaaaaaabfbaaaaaaaaaac gaaaaaaaaabffaaaaaaaac gaaaaaaacaaacffcaaaaac gaaaaaaccaaaaacffcaaac gaaaaaccacaaaaaaaffbac gaaaaccaaccaaaaaaaabff gaaaacaaaacaaaaaaaaaabffg gaaacaaaaaacaaaaaaaaac dffd gaacaaaaaaacaaaaaaaaac gffe gaccaaaaaaaacaaaaaaaac bfe gccaaaaaaaaaccaaaaaaac bfb dcaaaaaaaaaaacaaaaaaac effg caaaaaaaaaaaaacaaaaaac dffd cdcaaaaaaaaaaaaccaaaaac gffe cd ggggggggggggggcgggggg bfe ac dc bfb dc cg effg gc gc dffd cg aa gffe cd c bfe ca dc bf dc cd gc c c aa cd c ca gc ac cd dc c c ac cg cg cd gc ac cd dc c gc dc c cg cg cg cd gc ad ca aa ad dc c da gc dc gc c cd gc cd c cca aa cc c c gc cd c ac cg gc cd c dc cd cc acg gca cc dcg gca cc dcd ca ac gc ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#a4daa9ff b,#88eb48ff c,#88cf8fff d,#e4f6e1ff e,#acf17fff f,#63e60fff g,#c6ecbdff ``` ```image bg fffe effffed gbfffbd gbfffbg defffbg deffffe effffed gbfffbd gbfffbg defffbg deffffe effffed ga gbfffbd gcca gbfffbg dccccd defffbg dccggca deffffe aca ccg effffed acc dccd gbfffb gccd aca gbff dccd dccd de dccg gcc cca ccg aca dccd gccd aca gccd ccd dccg gcc cca acg aca dccd accd gca gccd ccg dccg gcc ccg aca ca dccd c gca d ccg ```  This close-up reveals that there are no intersections in area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#a1d8a7ff b,#88eb48ff c,#88ce8fff d,#dff3dcff e,#a9f17bff f,#63e60fff g,#c0eab6ff ``` ```image g bffd gffe bfb gffg ffe bfb eff gffd dffg ffe bfb eff gffd dffg ffe bfb eff a gffd ccd dffg aa c ffe gc aa bfb dc c eff c dc gffd cd cd dffg ca c bfe gc ga bfb dc c eff c dc gffd cd cg dffg cg c bfe aa gc bfb dc cd effd c c gffd c ag dffg cd c bfe aa dc bf gc cd dc c c aa cd c ca dc gc cd dc c c ga cd c cg dc aa cg dc c c gc c c cd c cd c ad aa ag gg gc c gg dc dc da c cd c cd c cca aa cc c c dc cd c ga c dc ag c gc cd ca gc dcg cc gcd ca ac dcd ca ac dc ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#cd469aff b,#9891fdff c,#e9b0d4ff d,#da77b5ff e,#cecbfdff f,#b2acfdff g,#eee1f5ff ``` ```image g ebbbbf ebbbbbbbbbbg ebbbbbbbbbbbbbbbf gbbbbbbbbbg fbbbbbbb gbbbbbbbbbe ebbbbbbbe fbbbbbbbbe gbbbbbbbf fbbbbbbbbe fbbbbbbbg fbbbbbbbbf ebbbbbbbe ebbbbbbbbf gbbbbbbbf ebbbbbbbbfg fbbbbbbbg ebbbbbbbbbg ebbbbbbbe gbbbbbbbbbg bbbbbbbb gbbbbbbbbbe ebbbbbbbe fbbbbbbbbe gbbbbbbbf bbbbbbe fbbbbbbbg fbbf ebbbbbbbe gbbbbbbbf fbbbbbbe ebbbb bf g daaac aaaaaaaac aaaaaaaaaaaac caaaaaaaaaaadc caaaaaaaaaaadc caaaaaaaaaaadg caaaaaaaaaaadg daaaaaaaaaaadg gdaaaaaaaaaaadg gdaaaaaaaaaaadg gdaaaaaaaaaaac gdaaaaaaaaaaac gdaaaaaaaaaaac cdaaaaaaaaaaac caaaaaaaaaaaac caaaaaaaaaaaac caaaaaaaaaaadc caaaaaaaaaac caaaaaaa caaaa aaad caaa aaaa aaad caaag aaaa aaad caaag aaaa aaad gaaag daaa aaaa gaaac daaa aaaa gaaac daa c ```

[ "" ]

Time to put on my detective hat and find those intersection points! These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#a87494ff b,#635ad0ff c,#c8a4baff d,#924675ff e,#aed5aeff f,#9d99deff g,#e0d4e6ff ``` ```image a d gd ad dc d gcaadddda gd ddaaccggdd ad gd dd dc da dd d d adg d cd cdc cd dc gda da gd dd dg da dd d d ddg cd cd adg da dc cda dg gd gda d da dd gd d dd ad cd adg dc dc cdc d gd gda gd da dd ad d dd dc cd dd d dc adg d gd cdc cd da gda da d dd dg cd dd d dc adg cd gd cdc da da gda dg d gdd d cd dd gd dc dd ad gd adg dc da cdc d d gda gd cd dd ad dc dddc gd dd da g d cd dc gd da dc dc dg dg dg d d g d fbbbbbbff d gbbbf gfbbbbbbfg d fbbb gfbbbbbbfg d gbbbg gfbbbbbb d fbbf gf d gbbbg gd bbbf gd fbbbg gd gbbbf cd fbbb cd gbbbg cd fbbf eeeadeeeeeeeeeee gbbbg eeeadeeeeeeeeeee bbbf eeedaeeeeeeeeeee fbbbg eeedaeeeeeeeeeee gbbbf eeedaeeeeeeeeeee fbbb eeedaeeeeeeeeeebbbg eeedaeeeeeeebbbb eeedaeeeefbbbeee eeedceebbbfeeeee eeedabbbeeeeeeee eeedbfeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#a5678dff b,#6459d0ff c,#ba8faeff d,#914574ff e,#cfbfdcff f,#9b94dfff g,#e2def1ff ``` ```image cdd cdd cdd cda ada ada ada ada adc ddc ddc ddc ddc gf ddc gfbbb gddc efbbbbb gdde gfbbbbbbfg gdde efbbbbbfg gdde gfbbbbbbe edde ebbbbbbfg edde gfbbbbbfe eddfbbbbbbfg cddbbbbfe cddbbfg gbfg ```  Area A does not contain any intersection points. Answer: A: 0; 0 = 0 There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#a6688eff b,#635ad0ff c,#be92adff d,#914574ff e,#d1b9d0ff f,#9e97e1ff g,#e5dbe9ff ``` ```image c d gd ad de d gcaadddda gd ddaaceegdd cd gd dd dc da dd d d adg d cd edc cd de gda dc gd dd dg da dd d d adg ed cd cde aa de edc de gd gda d da dd ed d dd aa cd adg de de cde d gd gda gd da dd cd d dd dc cd dd d de adg d gd edc cd da gda dc d dd dg cd dd d de adg ed gd cde aa da edc de d gda d cd dd ed de dd aa gd adg de da cdc d d gda gd cd dd cd de dddc gd ad da e d cd de gd da de de de dg dg d d g d fbbbbbbfe d gbbbf gfbbbbbbfe d fbbb gfbbbbbbfg d gbbbe gfbbbbbb d fbbf ef d ebbbg gd bbbf gd fbbbg ed gbbbf ed fbbb cd gbbbe cd fbbf cd ebbbg aa bbbf aa fbbbg aa gbbbf dc fbbb dc gbbbe de fbbf de ebbbg de bbbf dfbbbg dbf ```

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No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#e60c28ff b,#81b343ff c,#f18391ff d,#cadfb1ff e,#ea3f55ff f,#f4dfdbff g,#a8ca7dff ``` ```image gbd fbbbbb gbbbbg fbbbbbd gbbbbg dbbbbbf gbbbbg dbbbbbf gbbbbg dbbbbbf bbbbbd dbbbbb bbbbd dbbb bbbd bbb dbbb gbbg bbbf fbbb gbbg bbbd fbbb dbbb bbbd bbb dbbb gbbg bbbf f fbbb bb gbbg fbbbf bbbf bbbg fbbb dbbb gbbg f bbbg bbbd fac dbbb bbb faac bbbd dbbb faac gbbb gbbd faac bbbd bbbf faac gbbbbb faac fbbg faac faae aae aae aae aae aae aae aae aae aae aa aaa aaa aaa eaaa aaa caaaaf aaa faafcac aaa aac fae aaa aae aa aaa aaa aa aaa aaa aa aaa faaa aa aaa caae eaf aaa aaac cac aaa faaa fae aaa caaa aa aaa eaac aa eaa aaaf aa eaa faaa aa eaa eaae eaf eaa aaaf cac eaa faaa fae eaa caae aa eaa aaac aa eaa faaa aa eaa caae aa eaaf eaac eaf caaf caaf cac caaf e fae caaf aaaeaaf caaaaf cf ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#468ff5ff b,#4ad5e0ff c,#106ff3ff d,#86e2eaff e,#83b4f8ff f,#dcf0faff g,#b4e1f5ff ``` ```image bd gbbbf bbbbbb fbbbbbd dbbbbbf bbbbbb fbbbbbd dbbbbbf bbbbbb fbbbbbg dbbbbb bbbbbb gbbbbbg bbbbbb fbb bbbbbd bbbf gbbbbbf bbbd bbbbbb bbbb dbbbbbbd fbbb dbbbbbbbbf bbbd dbbbbbbbbbb bbbb dbbbbbbbbbbf gbbb gbbbbbbbbbbf bbbg gbbbbbbbbbbf bbbb gbbbbbbbbbbg dbbb gbbbbbbbbbbg bbbf gbbbbbbbbbbg bbbd fbbbbbbbbbbg bbbb fbbbbbbbbbbg fbbb fbbbbbbbbbbd bbbd fbbbbbbbbbbd bbbb dbbbbbbbbbd gbbb fbbbbbbbbbd bbbg fbbbbbbbbd bbbb gbbbbbbbdf dbbbbbbbbbbd bbbbbbbbg bbbbbbg dbbbf ff ecccf ccccca accccccce ccccccccccg accc ccccccc ccca fcccccca cccc ecccccce fccca accccccf cccc ccccccc gccce gcccccce cccc eccccccg ecccg acccccc cccc fcccccca acccf gcccccce cccc accccccf cccc ccccccc fccca fcccccca cccc eccccccg gccce accccccf cccc cccccca eccce gcccccce cccc eccccccg acccf acccccc cccc fcccccca acccf gcccccce ccca accccccf cccc ccccccc fccca fcccccca cccc eccccccg gccce accccccf cccc cccccca ecccg gcccccce cccc eccccccg acccf ccccccc cccc fcccccca cccc ecccccc fccca accc fccc ca ge ```

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This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#2f3df8ff b,#f89bbfff c,#b3b8fcff d,#727cf8ff e,#b1d7b1ff f,#f8cfe2ff g,#96c996ff ``` ```image bbff fbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbbbf fbbbbbbbbbbff fbbbbbbbbbbf ffbbbbbbbbf fbbbb fbb bbb bbf bbf bb fbb bbb bbf bbf bb fbb bbb bbf gggggggggbbggggggggg eeeeeeeeeebbeeeeeeee eeeeeeeeeebbbeeeeeee eeeeeeeeeeebbbeeeeee eeeeeeeeeeeebbbeeeee eeeeeeeeeeeeebbeeeee eeeeeeeeeeeeeebbeeee daaaaaaaaaaaaaddddccccf eeeeeeeeeeeeeebbbeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddccccf eeeeeeeeeeeeeeebeeee aa cccccddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaadeee aa cccccddddaaaaaaaaaaaaaaaaaadeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee cad eeeeeeeeeeeeeeeeeeee dac eeeeeeeeeeeeeeeeeeee da eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeeee aa gggggggggggggggggggg cad dac aa aa aa aa aa ad cad dac aa aa aa aa aa fad cad dac aa aa aa aa aa fad cac dac aa aa aa aa aa caaaac aa caaaaad aaac c ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#2e3cf9ff b,#f89abeff c,#bdc1fcff d,#5c67f9ff e,#f2e4f4ff f,#fab8d1ff g,#8b92fbff ``` ```image fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbbbe bbbbb ebbbbf ebbbbf fbbbbe fbbe fe aadddddddggggggcccccceeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddg aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaag eeecccccccggggggddddddaaaaaaaag eeee ```  This close-up reveals that there are no intersections in area A. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#2d3bf8ff b,#f99abfff c,#b4b9fcff d,#5460f9ff e,#f2e6f5ff f,#fac3d9ff g,#818afaff ``` ```image bbfe ebbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbbff fbbbbbbbbbbfe efbbbbbbbbbbfe efbbbbbbbbe fbbbb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb fbb bbb bbf bbe ebb gaaaaaaaaaaaaddgggccccee fbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddgggccccee f aa eeecccgggdddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddg aa eecccgggdddaaaaaaaaaaaaaaaaag aa ee ad cag gac dae aa aa aa aa ead cag gac dae aa aa aa aa ead cag gac da aa aa aa aa ead cag gac aa aa aa aa aa ead cag gac aa aa aa ade aa caaaac aa caaaaad eaaac c ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#05445bff b,#a3b99fff c,#c3d1c7ff d,#487687ff e,#80a0abff f,#e2e9e3ff g,#175267ff ``` ```image be caag daaa e gaaa faaa aaaa aaaaa aaaa aaaaaaa aaaa gaaaaaaaa aaaa daaaa gaaaa aaaa eaaaa gaaaa faaaa caaaaf gaaaa caaaa faaaac gaaaa eaaaaf aaaae gaaaa daaaaf aaaad gaaaa gaaaac daaag gaaaa aaaaac eaa gaaaa aaaaab c gaaaa aaaaae gaaaa aaaaae gaaaa aaaaad gaaaa aaaaad fc gaaaa caaaaad bbb gaaaa eaaaaag bbb gaaaa daaaaag bbb gaaaa gaaaaaa f bbb gaaaa aaaaaaa cae bbbf gaaaa aaaaaaa faaad fbbbf aaaaa aaaaaaa aaaae fbbbf aaaaa aaagaaa aaaad fbbbc aaaaa aaadaaa gaaag fbbbc aaaaa aaaeaaa daaaa fbbbc aaaaa caaacaaa eaaaa fbbbc aaaaa baaacaaa caaaa fbbbb aaaaa eaaafaaa faaaac fbbbb aaaaa daaafaaa aaaae fbbbb aaaaa aaaa aaa aaaad fbbbb aaaaa aaad aaa gaaag fbbbb aaaaa aaae aaaf daaaa cbbbb aaaaa aaab aaaf eaaaa cbbbb aaaaa aaac aaac caaaa cbbbb aaaaa aaa aaac faaaac cbbbb aaaaa faaa aaab aaaae cbbbb aaaaa baaa aaae aaaad cbbbb aaaaa eaaa aaae gaaag cbbbb aaaaa daaa aaad daaaa cbbbb aaaaa gaaa aaadeaaaa cbbbb aaaaaaaag aaagaaaa cbbbbf aaaaaaad aaaaaaac cbbbbf aaaaaae aaaaaae cbbbbf aaaaac gaaaad cbbbbf aaaa daaag bbbbbc aaa eaaa bbbbbc ed bbbbbc bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbb bbbbbbbbf f bbbbbbbbbbc fbbbb bbbbbbbbbbbbbc fbbbbbbbbf bbbc cbbbbbbbbbf cbbbbbbbbbbbbc bbbc fbbbbbbbbbbf cbbbbbbbbbbbbbbf bbbc fbbbbbbbbbbf fcbbbbbbbbbbbbbcf bbbc cbbbbbbbbbc bbbbbbbbbbbbbcf bbbc cbbbbbbbbbc bbbbbbbbbbc bbbc cbbbbbbbbbf bbbbbbbc bbbc fbbbbbbbbbbf cbbbb bbbc fbbbbbbbbbb cbbbb bbbc cbbbbbbbbbc fbbbb bbbf cbbbbbbbbbc fbbbbf bbbf bbbbbbbbbbf bbbbf bbbf fbbbbbbbbbbf bbbbc bbbf fbbbbbbbbbbbbbbc bbbf cbbbbbbbbbbb cbbbbbbb bbbb ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#130fb9ff b,#0a6787ff c,#6866d2ff d,#a8b5deff e,#5b98aeff f,#322fc2ff g,#dee4f2ff ``` ```image ge bbbbe bbbbbbbd gbbbbbbbbbd dbbbbbbbbbg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbd gebbbbbbbbd gbbbbbbbbbg dbbbbbbbbeg dbbbbbbbbe ebbbbbbbbe gebbbbbbbbd gbbbbbbbbbg dbbbbbbbbeg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbd gbbbbbbbbbd dbbbbbbbbbg dbbbbbbbbe ebbbbbbbbe ebbbbbbbbbed gebbbbbbbbbbbeg gbbbbbbbbbbbbbbd gebbbbbbbbbbbbbeg debbbbbbbbb dbbbbb ge af gaaa faaa aaad caaa aaac daaa aaaf gaaag faaa aaad caaa aaac daaa aaaf gaaag faaa aaad caaa aaac gac daaa caaaag aaaf aaaaaaac gaaag caaaafaaaaag faaa aaaaad aaaaac aaad daaaaa daaaaag caaa faaaac aaaaac aaac gaaaaag daaaac daaa caaaaf aaa aaaf aaaaad dg gaaag daaaaa faaa faaaac aaad gaaaaag caaa caaaaf aaac aaaaag daaa daaaaf aaaf aaaaad gaaag daaaaa faaa faaaac aaad gaaaaag caaa caaaaf aaac aaaaad daaa daaaaa aaaf faaaac gaaag gaaaaag faaa caaaaf aaad aaaaad caaa daaaaa aaac faaaad daaaaaaaa aaaaaac aaaag caf ```

[ "" ]

I have a feeling there might be some intersections in this image. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#64718dff b,#c3a16eff c,#ab6f24ff d,#d7d2cfff e,#2f3e67ff f,#99b8a3ff g,#b0d6b0ff ``` ```image bd c gb c db c c c c bd c bg fggggggggggggggf dbcc c gggggggggggggggf bcccb dbgggggggggggggggf dcccbd cgggggggggggggggf dbccbd dcggggggggggggggf bcccb cggggggggggggggf dcccbd gcgggggggggggggf dbccbd gcfggggggggggggf bcccb ggcggggggggggggf dbccbd ggbbgggggggggggf dbcccd gggcgggggggggggf bcccb gggbbggggggggggfdbccbd ggggcggggggfbcccd ggggfcgbcccbgggf gggggccfgggggggf gggggaaggggggggf gggggeaggggggggf ggggfeaggggggggf ggggegaggggggggf ggggegaggggggggf gggafgeggggggggf fe fffeffeffffffffg aa ff e ed e e de a e aa e e eg e e de ad e ae e e ef df e de e e ae a e ef e a de e a ae fd a ef e fd ed da fd fe e gg ea e df ed a df fe e a ea fg a ed e a ge da e aa e e ed e e de ad e aa e e eg ff e de a e ae e ef e de e ae e ef e de a ae a ef a ed fd fe fd ea df ed df fe df ea a ed a ge a aa eed e ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#5b6787ff b,#d7ba97ff c,#ab6d21ff d,#eae1d5ff e,#2b3964ff f,#9ba2b6ff g,#c1945cff ``` ```image d g cd cg gcd dcg bcb cc bcb ccd bcg gcd dcg gcd dcg bcb cc bcb cc bcb gcd db dcg dbgcccc gcd dbbgcccccgbd dcg dbgcccccgbbd gccccccggbd dccgbd f aef eef feef aeef deaef fefef ea ea fef ea ae ea def ea aed ea dea aa ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#5e6989ff b,#d7ba97ff c,#aa6c20ff d,#d9d7d8ff e,#2d3b65ff f,#9aa1b5ff g,#c0925aff ``` ```image gd c bb c dg c c c c gd c bb dgcc c bcccb dg bgccgd c dgccgb dg bcccb c bgccgd c dgccgb gd bcccb c bgccgd bb dgccgb c bcccb bb bgccgd c dgccgb dg bcccb cgd af ef daf e a e a ad a fe e e aa ff e ed e e de da e aa e e ef e e de ad e aa e e ef df e de e e ae a e ef a a de e a fe fd a ef e fd ded df fd fe e fd ea e df ed a df fe e f ea ff a ed e a fe da a aa e e ed e e de ad e aa e e ef ff e de a e aa e ef e de e ae e ef a de a fe a ef fd ded fd fe fd ea df ed df fe df aa a ed a fe a aa eed e ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#71406cff b,#fabd90ff c,#c1adbfff d,#936e8fff e,#fce0ccff f,#f5e9e4ff g,#fad0b0ff ``` ```image c daa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaaf caaa daaa aaaa aaad aaac faaac caaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac daaaaac egbbe daaaaac febbbbbbbbbbb daaaaac bbbbbbbbbbbbbbbbbbg daaaaac gbbbbbbbbbgef bbbbbf daaaaac bbbbge fbbbbb daaaaac gbbe gbbbbe daaaaac bbb bbbbb daaaaac gbbe gbbbbg daaaaac bbb bbbbb daaaaac bbbf ebbbbg daaaaac bbb bbbbbf daaaaac bbbf fbbbbb daaaaac bbb gbbbbe daaaaac bbbf bbbbb daaaa fbbb ebbbbg daa bbb bbbbbf fbbb fbbbbb bbb gbbbbe fbbb bbbbb bbb gbbbbg ebbg bbbbb bbb ebbbbg ebbg bbbbbf bbb fbbbbb gbbg gbbbbe bbb bbbbb gbbe ebbbbg bbb bbbbbf bbbe fbbbbb fbbbb gbbbbe gbbbb bbbbb bbbg gbbbbg bf bbbb ebg ```

[ "" ]

Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#ed8670ff b,#dea9ccff c,#e75d3fff d,#efcfdcff e,#f5c1b6ff f,#f1a696ff g,#f9eceeff ``` ```image g ccc eca ce ccg gc acf ac gcc ce acd gc eca ac ccg ce fcf gc gcc ac ace ce dca gc ccg fc fca ce gcc gc ace fc dcc ce ccd c eca fc g ccg cf c cf c c fc ec cf af c cg fc c cf gc c fa fc ce cf c c c ec gc cf fa cg cd ec c cf c cg dc ec af cf cg cg c ec c ca ec cg af bd ec cg bb ca c dbd cg gc bbg ec fa gbb ca ce dbd cg c bb ec c dbd ca dc bbg cg fa gbb dc cd bbg ca c bb cg c dbd dc ec bbg aaaf gbb ccg bbg dc bb dbd bbg gbb bbg gbb dbd bb gbb bbg gbb dbd bb gdb gbb gdbbbddb bbg gbbbbd b gbb dbbbbd db dbd gdbbbbg b bbbbbdg db g b db b ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#c21f46ff b,#ca8b9bff c,#6f3546ff d,#efdde1ff e,#d05271ff f,#986f7bff g,#ddb6c0ff ``` ```image dgf dbfcccccccccd gbfcccccccccffgd gbfcccccccccfbgd fccccfbg bccg gccb dccf dccf ccc ccc fccd bccg bccg gccb dccf dccf ccc fccd fccd bccg gccb gccf dccf ccc ccc fccd fccd bccg gccb ag ccf ea f ag ea ad aa da ae ga ae ga ab ba ag ea ad aa ad aa da ae ga ab ba ab ea ag ea ad aa da ae ga ae ea dad ae ea dad ae ea dad ae ea ag aa ba d ag aaaaaaaaaaaaaaaeeebbggdd aa ddggbbbeeaaaaaaaaaaaaaaaaaaaaaaaeeebbgggdd ba ddggbbeeeaaaaaaaaaaaag ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#b6ec6aff b,#64b5c6ff c,#9fed20ff d,#ebf5ecff e,#2296c2ff f,#a1cfa2ff g,#b2d8b2ff ``` ```image d c ga c dc cd c aa c dc cd c ag c da c ddddddddddcdddddddddd dfffffffffaaffffffffff dfggggggggcggggggggggg dfgggggggfcggggggggggg dfgggggggcgggggggggggg dfgggggggcgggggggegggg dfggggggcagggggggegggg dfggggggcgggggggefgggg dfgggggaagggggggeggggg dfgggggcgggggggbbggggg dfgggggcgggggggegggggg dfggggcfgggggggegggggg dfggggcgggggggefgggggg dfgggaagggggggeggggggg dfgggcgggggggbbggggggg dfgggcgggggggegggggggg dfggcfgggggggegggggggg dfggcgggggggbfgggggggg cg dfgaagggggggeggggggggg aca dfgcgggggggfbggggggggg aca dffcgggggggegggggggggg ddddgccddddddddddddd dfcggggggggegggggggggg dfffffffccffffffffffff dfcgggggggbbgggggggggg gfggggggggccfggggggggf daagggggggeggggggggggg beggggggggggccaggggggf dcgggggggfeggggggggggg dfebggggggggggacaggggf dcgggggggegggggggggggg dfgbegggggggggggacaggf cfgggggggegggggggggggg dfggfebgggggggggggaccf cfggggggbbgggggggggggg dfggggeeggggggggggggfccd agfggggggeggggggggggggg dfgggggbefgggggggggggfdccd cdfgggggfeggggggggggggg dfgggggggebggggggggggf acg dadfgggggegggggggggggggg dfggggggggbegggggggggf aca c dfgggggegggggggggggggg dfggggggggggebgggggggf aca c dfggggbbgggggggggggggg dfgggggggggggeeggggggf gcc ad dfggggeggggggggggggggg dfggggggggggggfefggggf dccd c dfggggeggggggggggggggg dfggggggggggggggeegggf dccd da dfgggefggggggggggggggg dfgggggggggggggggbefgf acg c dfgggegggggggggggggggg dfgggggggggggggggggebf aca c dfffbbffffffffffffffff dfggggggggggggggggggbe aca ad dddeddddddddddddddddd dfgggggggggggggggggggfeg dcc c e dfgggggggggggggggggggf be dccd ga bd fffffffffffffffffffff ded ccd c e eb acg c gb ged accd e eb g e be bd deg e ee db ded e eb e be bd eb e be db ded e ee e ged bg eb e be db deg e be e ded bg eb e gede ed ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#c0f36cff b,#54add0ff c,#a1ee22ff d,#c8e4efff e,#2196c3ff f,#8bc8dfff g,#e0f9b7ff ``` ```image gccccg gacccg gaccca accca d acccag eed gcccag feeb gccccg dbeed gacccg feef gaccca deebd accca beef acccag feeb gcccag dbeed gcccc feef gac deeed g feef deebd beef feeb dbeed feef deebd beef deebd dbeed feeb dbeed feef deebd beef feeb dbeed feeb dee f ```  Darn it! This close-up doesn't show any intersections in area A. Hmm, interesting. Let's check out another area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#bef367ff b,#53add0ff c,#a0ee1fff d,#c7e4efff e,#1f95c3ff f,#8dc9e0ff g,#dff9b5ff ``` ```image acg gca acg cc gca cc gca acg cc gca f cc deb gca fed acg ee cc fef acg bed cc deb gca fef acg ee cc fef acg bed cc deb gca fef acg ee gca def acg bed cc deb gca fef acg ee gca deb acg bed cc eb gca fef cc ee gca deb acg bed cc ee gca fef cc be gca deb acg bed cc ee acg fef cc bed gca deb acg fed cc ee acg fef cc bed gca deb acg fef gcc ee acg fef cc bed ca deb cg fef a ee g def bed deb fef ee deb bed eb fef ee deb bed ee fef bed deb bed ee fef ```  Based on this close-up, I can conclude that there's no intersection in area B. Answer: A: 0; B: 0; 0 + 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#c3f472ff b,#51acd0ff c,#a1ee21ff d,#c4e3efff e,#1f95c3ff f,#89c6dfff g,#e1f9baff ``` ```image g c ga c c c c aa c c c c ag c gc c c ag c ga c c e ag e c bd ga e c df c e ag e c bd ga e c db c e c e c bd cg aa e aca c db aca c e gcc c e gcc c fd d ccg ag e fe ccg c db ef aca gc e be aca c e ded gcc c ff bb gcc ag e ded ccg c db eb ccg ga e fe aca c e ef aca c ff be gcc ag e ded gcc c e eb ccg ga b de ccg c e ef aca c ff fe aca ag e ef gcc c e be gcc ga bd ded ccg c e eb acg c df fe accg e ef g e be bd ded e be db ded e eb e fe bd ef e be db ded e eb e de fd eb e fe db ef e be e ded ff eb e fedb e ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#c11b78ff b,#0dc9a3ff c,#e6a5caff d,#a3eadbff e,#d462a2ff f,#5ddac1ff g,#e9e8edff ``` ```image dfg dbbbbbbbf gfbbbbbbbbbbbbbbf gfbbbbbbbbbbbbbbbbbbbbbd dfbbbbbbbbbbbbbfg gbbbbbbbbbbd dbbbbbbbbbbbbbbfg dbbbbbbbbbbg dbbbbbbbbbbbbbbd dbbbbbbbbbf gfbbbbbbbbbbbbbbd fbbbbbbbbbf gfbbbbbbbbbbbbbfd fbbbbbbbbbd dfbbbbbbbbbbbbbfg gbbbbbbbbbbd gfbbbbbbbbbbbbbbfg dbbbbbbbbf dfbbbbbbbbbbbbbbd dbbbbbg gfbbbbbbbbbbbbbbbd fbb gbbbbbbbbbbbbbbfg bbbbbbbbbfd bbbbbfg fd eaa aaag aaae aaaa eaaa caaa aaag aaac eaa aaaa eaaaaag eaaa geaaaaaaaae caaa geaaaaaaaaaac aaa geaaaaaaaaaac aaac gaaaaaaaaaaac aaae caaaaaaaaaaeg aaaa caaaaaaaaaaeg caaa caaaaaaaaaaeg gaaa caaaaaaaaaae aaac eaaaaaaaaaae aaae eaaaaaaaaaac aaaa eaaaaaaaaaac eaaa geaaaaaaaaaac gaaa geaaaaaaaaaac aaag gaaaaaaaaaaac aaae caaaaaaaaaaag aaaa caaaaaaaaaaeg eaaa caaaaaaaaaaeg caaa caaaaaaaaaae aaag eaaaaaaaaaae aaac eaaaaaaaaaac aaaa eaaaaaaaaaac eaaaaaaaaaaaaac caaaaaaaaaac aaaaaaac aaaag ```

[ "" ]

This is the image I'm working with. The goal is to count the intersections. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#b5226dff b,#8ac8beff c,#dca1beff d,#e9ebebff e,#aed6afff f,#b2dad4ff g,#c26293ff ``` ```image d dag aaa dag gaa gaac daac aaaac aaa aaaaad gaa aa aaad daac daa aaa aaa gaa aaa gaa aag aaa aac aac aaa aaa aa daaa caa aa daaa aag caa caag aaa gaa caag caad aac gaag aag aad gaac aaa aa gaac caad daa aaad aag caa aaad aaa aag aaa daad aac aaa aaa aa aaa gaa aa aaa daac caa daaa aaa gaa daaa gaabd aac caag eeeeeeeeeeeeeeeeeaagbb aad caag deeeeeeeeeeeeeeeeaaabbb aa d gaac deeeeeeeeeeeeeeegaabbbb daa bbf gaac deeeeeeeeeeeeeeeaagbebb caa bbbd aaad deeeeeeeeeeeeeeaaabeebb aag fbbbb aaad deeeeeeeeeeeeegaabeeebb aac bbdbbb aaa deeeeeeeeeegaaaageeeebb f aa dbb bbb aaa deeeeeecaaaaaaaaeeeeebb fbb aa bbb bbb aaa deeegaaaaaaagbbeeeeeebbd bbf caa bbd dbbf aaa caaaaaaaacebbbeeeeeeebbd bb gaa fbb fbbd daaaaaaaaaageeeebbbeeeeeeeebbf fbb aac bbf bbb daaaaageeeeeeebbbeeeeeeeeebbf bbf aad bb bbb dac deeeeeeebbbeeeeeeeeeebbf bb aa fbb bbb deeeeeebbbeeeeeeeeeeebbb fbb daa bbd bbb deeeeebbbeeeeeeeeeeeebbb bbf caa dbb dbbf deeeebbbeeeeeeeeeeeeeebb bb gag bbb fbbd deeebbbeeeeeeeeeeeeeeebb fbb aac bbd bbb deebbbeeeeeeeeeeeeeeeebb bbd aa dbb bbb dbbbbeeeeeeeeeeeeeeeeebb bb aa bbf bbb fbbbeeeeeeeeeeeeeeeeeebb fbb caa bb bbb fbbbeeeeeeeeeeeeeeeeeeebb bbd gaa fbb dbbf fbbbddddddddddddddddddddbb bb aag bbf fbbd fbbf bb fbb aad dbb bbb fbbf bbd bbd aa bbb bbb fbbf bbd dbb daa bbd bbbbbf bbf fbb caa dbb bbbf bbf bbd dcg bbf dbf fbf dbb bb fbb bbb fbb fbb bbd bbf dbb dbb dbb dbb bbb bbb bb bbd bbd bbdbb dbb bbbbb bbf bbbbd bb bbbb fbb bbbb bbf bbbd bb bbb bbb bbf bbd db dbb bbf bb fbb bbf bb fbb bbd dbb bbf bb fbb ff ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#b5226cff b,#8ac7beff c,#ca7fa7ff d,#e6efefff e,#e6bbd1ff f,#c6e3dfff g,#b64f86ff ``` ```image daaaaacbbb caaaagbbbb eaaaaabbbbb gaaaacbbbbb caaaagbbbbbb eaaaaabbbfbbb gaaaagbbf bbb caaaagbbf bbb eaaaaabbf bbb gaaaagbf bbb caaaaabf fbb decaaaaaabf fbb ecgaaaaaaaagf fbb decaaaaaaaaaaaaf fbb ecgaaaaaaaaaaaaaae fbb ecgaaaaaaaaaaaaaaggbf fbb decaaaaaaaaaaaaaaagcbbbf dbb ecgaaaaaaaaaaaaaagcbbbbbbd dbb gaaaaaaaaaaaaaagce dbbbbbbd dbb aaaaaaaaaaaaced dbbbbbbd dbb aaaaaaaagce dbbbbbbd bb aaaagced dbbbbbbd bb agcd dbbbbbbd bb dbbbbbbd bb dbbbbbbd bb dbbbbbbd fb dbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd fb fbbbbbbd db fbbbbbbd db fbbbbbbd db fbbbbbbd db fbbbbbbd b fbbbbbbd b fbbbbbbd b bbbbbbd b bbbbb b ```  Hmm, it seems there's no intersection in area A after all. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#b5226cff b,#8ac8beff c,#d383acff d,#e2e9eaff e,#e7b8cfff f,#b1dad4ff g,#c2538cff ``` ```image d eag aag dag gaa gaac daae aaaae aaa aaaaae gaa aa aaad daae eaa aaa aaa caa aaa caa aag aaa aac aae aaa aaa aa daaa caa aa daaa aac eaa eaag aaa gag eaag eaad aac caac aag aad gaae aaa aa gaae eaad daa aaad aag caa aaad gaa aag aaa eaae aae aaa aag aa aaa gaa aa aaa daae eaa daaa aaa gaa eaag gaabd aac eaag aacbb aad caac aaabbb aa d gaac caabbbb daa bbf gaae aagb bb caa bbbd aaae aaab bb gag fbbbb aaad caab bb aae bbdbbb aaa caaaag bb f aa dbb bbb aaa egaaaaaaa bb fbb aa bbb bbb aaa dcaaaaaaagbb bbd bbf eaa bb dbbf aaa eaaaaaaagedbbb bbd bb gaa fbb fbbd daaaaaaaaaac dbbb bbf fbb aac bbf bbb daaaaagd dbbb bbf bbf aae bb bbb ege dbbb fbf bb aa fbb bbb dbbb fbb fbb daa bbd bbb dbbb fbb bbf caa dbb dbbf dbbb dbb bb gag bbb fbbd dbbb dbb fbb aae bbd bbb dbbb bb bbd aa dbb bbb fbbb bb bb aa bbf bbb fbbb bb fbb eaa bb bbb fbbb bb bbd caa fbb dbbf fbbf bb bb aac bbd fbbd fbbf bb fbb aae dbb bbb fbbf bbd bbd aa bbb bbb fbbf bbd bb daa bbd bbbbbf bbf fbb caa dbb bbbf bbf bbd dcg bbf dbf fbf dbb bb fbb bbb fbb fbb bbd bbf dbb dbb bb dbb bbb bbb bb bbd bbd bbdbb dbb bbbbb bbf bbbbd bb bbbb fbb bbbb bbf bbbd bb bbb bbb bbf bbd db dbb bbf bb fbb bbf bb fbb bbd dbb bbf bb fbb ff ```

[ "" ]

I'm on the case! Let's uncover any intersections hidden in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#5386c5ff b,#984e30ff c,#b1d4afff d,#044cb1ff e,#9ab8ddff f,#b68a73ff g,#ded8dbff ``` ```image ggeeeeeaaaaadddaaeg cccddddddddddddddddddddddddddddddaaeg cccaaaaecccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaadddddddddddddaaeg cccccccccccc geaaddddddddddddde cccccccccccc geaaddde cccccccccccc cccccccccccc cccfcccccccc cccbbccccccc cccfbfcccccc ccccbbcccccc cccccbbccccc ccccccbbcccc ccccccfbbccc cccccccbbfcc ccccccccbbcc cccccccccbbc ccccccccccbb ccccccccccfbf cccccccccccbbc bb bb gbb fbf bbg bb bb cbb fbf bbg bb gbb fbf bbg bb bb gbb fbf bbg bb bb cbb fbc bb bb gbb fbf bbg bb bb gbb fbf bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb gbb fbf bbg bb gbb fbf bbc bb gfbg bb gffbbbbbbf gbb cfbbbbbbbbfg fbf cfbbbbbbbbfg bbcfbbbbbbbbfg bbbbbfc ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#326dbfff b,#984e2fff c,#d0afa1ff d,#034cb1ff e,#9cb8e0ff f,#b37c66ff g,#e2dcddff ``` ```image aaaddddddddddddddd addddddddddddddddd addddddddddddddddd eeeeeeeeeegggggg cc fbbc gbbbbg cbbbf fbbbf fbbbc gbbbbg gbbbbg cbbbf fbbbf fbbbc gbbbbg cbbbb cbbbf fbbbc bbbbg gbbbbg cbbbf fbbbf fbbbc gbbbb gbbb cbb fb b ```  The evidence suggests that this is not an intersection point in area A. Answer: A: 0; 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#5082c8ff b,#984e2fff c,#d0afa1ff d,#044cb1ff e,#9cb8dfff f,#b47f69ff g,#dfdce0ff ``` ```image gggeeeeeaaaaadddaaeg ddddddddddddddddddddddddddddddaaeg eeeeeggg geaadddddddddddddaaeg geaadddddddddddddaaeg geaadddddddddddddaaeg geaadddddddddddddaaeg geaaddddddddddddde geaaddde c gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb bb gbb fbf bbg bb bb cbf fbc bbg bb gbb cbf bbg bb bb gbb fbc bbg bb gbb cbf fbc bb bb gbb fbf bbg bb bb cbb fbc bbg bb gbb cbf bbc bb gcbg bb gcfbbbbbbc gbb cfbbbbbbbbfg fbf cfbbbbbbbbfg bbcfbbbbbbbbfc bbbbbfc ```

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Based on a first glance, I suspect there could be intersection regions here. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#5a70d7ff b,#4bc96eff c,#0223c5ff d,#afd8b1ff e,#d9e6ecff f,#79d491ff g,#9eaae8ff ``` ```image ddddddddddddddd ddddddddddddddd ddddddddddddddd dddbddddddddddd dddbbbddddddddd ddddfbbbddddddd ddddddfbbbddddd ddddddddfbbbddd ddddddddddfbbbd ddddddddddddfbbb dddaddddddddddfbbf dddcadddddddddd fbbf dddccdddddddddd fbbf dddacdddddddddd fbbf ece fbbf ca bbbd cc bbbd ac bbbd ece bbbd ca ebbbe cc ebbbe ac ebbbe ece ebbbe ca dbbbe cc dbbb ac dbbb ece dbbb ca dbbb cc fbbf ac fbbf ece fbbf ca fbbf cc fbbd ac bbbd ece bbbd ca bbbd cc ebbbd ac ebbbe ece ebbbe ca ebbbe cc ebbb ac dbe ece bb ca ebe cc bb ac ebe ece bb ca ebe cc bb ac dbe ece bb ca dbe cc bb ac db ece bb ca db cc be ac ece ca cc ac ece ca cc ac ece e ca eacccg cc eacccccae ac eacccccae ece gaccccca ca gacccccg cc gccccccg ac gccccccg ece gccccccg ca gccccccg cc gccccccg ac gcccccag ece acccccag ca acccccag cc eacccccae acacccccae ecccae ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#6377daff b,#4cc96eff c,#0929c6ff d,#a2e3b4ff e,#ddf1e7ff f,#72d48dff g,#a2aee9ff ``` ```image e ebfe fbbbfe fbbbbbfe efbbbbbfe efbbbbbde dfbbbbbde dfbbbbbde dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbbd dbbbbbb edbbbb edbb gace ed cccg acca gccc eccce cccg acca ```  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

```palette Key,Color ,#fefefeff a,#5c71d9ff b,#4cc96eff c,#0223c5ff d,#b8e9c6ff e,#dce6f0ff f,#83d99bff g,#9eaae8ff ``` ```image be bbbe dbbbe dbbb dbbb dbbb fbbb ae fbbb ca fbbf cc fbbf ac fbbf ece bbbf ca bbbf cc bbbd ac bbbd ece bbbd ca ebbbd cc ebbbd ac ebbbe ece dbbbe ca dbbbe cc dbbb ac dbbb ece dbbb ca fbbb cc fbbf ac fbbf ece fbbf ca fbbf cc bbbf ac bbbf ece bbbd ca bbbd cc ebbbd ac ebbbd ece ebbbe ca ebbbe cc dbbb ac dbd ece bb ca ebd cc bb ac dbe ece bb ca dbe cc bb ac dbe ece bb ca dbe cc bb ac db ece bb ca db cc bd ac ece ca cc ac ece ca cc ac ece e ca eacccg cc eacccccae ac eacccccae ece gaccccca ca gacccccg cc gccccccg ac gccccccg ece gccccccg ca gccccccg cc gccccccg ac gcccccag ece acccccag ca acccccag cc eacccccae acacccccae ecccae ```

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I'm curious to see if this image contains any intersection points. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#6088edff b,#9cb1edff c,#854cbcff d,#a281c7ff e,#d2d2f3ff f,#b0d6b1ff g,#95c797ff ``` ```image e e c cdccccde c c edccccdgggggggggggggg ee ec gfdcccccdfffffff c ec gfffffffgdccccdde c dc gffffffffffffffddccccde c dd gfffffffffffffff edccccde eb cd gfffffffffffffff ebdcccdbe d ce gfffffffffffffff edccccde c ce gfffffffffffffff edccc c gfffffffafffffff c gffffffaafffffff ec gfffffabbbffffff ec gfffffaffaffffff bc gffffafffaffffff dd gfffaffffbffffff dd gffbafffffafffff cb gffaffffffafffff ce gfafffffffafffff gafffffffffaffff gafffffffffaffff aggggggggggagggg a eb bb a ea a a eb ae a bb a a be a a ae a ea be a a a a bb b a b a a ae a eb eb a a a a be eb ea a a a a be bb a a a a be ae a ea a a b a b bb a ea a a eb a a bb a a ee a a ae a ea be a a a a bb be a a a ea aa aa aa aae aae bae bae bae bab bab ea ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#5b84eeff b,#b0c4f6ff c,#854abcff d,#a479cdff e,#dedff6ff f,#c4a8deff g,#81a0f1ff ``` ```image ccdffee dcccccccddffe effddcccccccddffe effddcccccccddfee eeffdccccccccdf eefddccc e e gae baab eagag aaega gab bab bag eag eaa ga gae bab gab eag bag aa eaae bae gab eab bag aa eag gae aae eab gab ag bag gae eaa bab gae ag bab ga eag bab eaae eag ```  It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#5d85eeff b,#b3c6f6ff c,#854bbcff d,#a77ecfff e,#e1e2f8ff f,#cbb3e2ff g,#87a5f2ff ``` ```image e e c cdccccdf c ec efdccccde ff ec efdcccdfe c fc edccccdfe c dc fdccccdf c dd efdccccde ff cd efdcccdfe d cf fdccccdfe c ce fdccc ce a c aa ec gbbb fc ea a fc a a dd ae be dd bg a cf a a cf a ge ae g bg a a g a eg gb a ea a a bb ae a bg a a bb a a gb a ea ge a a a a gb ge ea eg a a ae a bg eg a a a a gb bb ea a a a ae bb bg a ea a a ge ae g bg a a g a eg gb a ea a a eb ae a bg a a bb a a ge a eg be a a a a gb ge e g a g ea eaa aa aae aae gae gae gab gab bab bab ba ```

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I'm examining this image closely. My goal: find any and all intersections. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#afd8b1ff b,#def17fff c,#2bc783ff d,#d9f12fff e,#ebf7e6ff f,#62d39fff g,#94cc98ff ``` ```image a ce ce ca ca cg ff ff ff ac ac ac ec ec c c c c c c c ce ce ca ca ca cf ff ff gggfcgggggggggga eaaafcaaaaaaaaaag eaaagcaaaaaaaaaag f eaaagcaaaaaaaaaag fc eaaagcaaaaaaaaaag fc eaaaacaaaaaaaaaag gc eaaaacaaaaaaaaaag ace eaaaacaaaaaaaaaag ace eaabacaaaaaaaaaag ace eaadacaaaaaaaaaag ece eaadacaaaaaaaaaag eca eaadbcaaaaaaaaaag eca eaadbcaaaaaaaaaag eca eaadbcgaaaaaaaaag cf eaadbcgaaaaaaaaag cf eaadbcgaaaaaaaaag cf eaaddcfaaaaaaaaag cf eaaddcfaaaaaaaaag cc eaabdcfaaaaaaaaag cc eaabdfcfaaaaaaaag cc eaabdagcccfaaaaag cc gggdggggfcccfgga ac ed accce ff ed fccfe ca ed efccf ce d eccca c d accce ec d fccfe ac de efccf ff bddb eccca eeeeeeeeecaeeee bddb accca egaaaaaaaacgaaaag eddde accce eaaaaaaaaacaaaaag bddb fccfe eaaaaaaaaacaaaaag bddb efccf eaaaaaaaafcaaaaag eddde eccca eaaaaaaaacfaaaaag bddb acccaeaaaaaaaacgaaaaag eddd fcccaaaaaaacaaaaaag ddde ecccfaaaacaaaaaag bddb eaagcccfacaaaaaag eddd eaaaaagcccaaaaaag ddde eaaaaaaaaaaaaaaag bddb eaaaaaaaaaaaaaaag b eddd eaaaaaaaaaaaaaaag ebddde ddde eaaaaaaaaaaaaaaag edddde bddb eaaaaaaaaaaaaaaag bdddb eddd eaaaaaaaaaaaaaaaddddb ddde eaaaaaaaaaaaadddde bddb eaaaaaaaabddddaag edddeegaaaabddddaaaaag bddbebdddbeeeeeeee bddde ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#91e1beff b,#e5f56dff c,#2bc783ff d,#daf22bff e,#c7f0deff f,#5dd4a0ff g,#f1fab4ff ``` ```image acf acc acc acc acc ecc ecce ecce ecce ecce cce cca cca cca cca cca fcf gg fcf gdd fcf gdd fcf gddgfcf gddgacc gddgacc ddgacc ddgacc ddgacc ddgecc ddgecce ddgecce ddbecce ddbecce ddb cce bdb cca bdb cca bdb cca bdb cca bdb fca bdd fcf bdd fcf bdd fcccfe gdd efcccccae gdd eaccccccae gdd efcccccfa ```  It's a shame, but area A doesn't contain an intersection. Onward to the next region of interest. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#9be4c5ff b,#e3f560ff c,#2cc783ff d,#daf22aff e,#d6f4e2ff f,#65d6a5ff g,#edf99eff ``` ```image ecce acc fcc fcf cca ecca ecce acc fcc fcf cca ecca ae ecce cccae acc cccccfa fcc afcccccfa fcf eafcccccfe cca eaccccccaeecca efcccccccce afccccc afcf gbd gbdddd egbddddddg gbddddddbge gbddddddbg ```  Darn it! This close-up doesn't show any intersections in area B. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#9ee5c6ff b,#e6f674ff c,#2bc783ff d,#daf22dff e,#d2f3e5ff f,#63d6a4ff g,#f2fab8ff ``` ```image a ce ce ca ca ca ff ff ff ac ac ac ec ec c c c c c c c ce ce ce ca ca cf ff ff ac ac ac f ec fc ec fc c ac c ac c ace g c ece d c ece dgc eca dgc eca dgc ca dgce cf dbce cf dbca cf bbca cf bbca cc bdff cc bdfcf cc gd eccca cc gd accca ac gd accce ff gd fccf ca d efccf c d eccca c d accce c d fccce ac d fccf ff bddg eccca ca gddb accca c dddg accce c bddg fccf ec gddb efccf ac dddg eccca ff bddb accce ca gddb fccce c dddg fccf c bddb ecccaec gddd accc dddg bddb b gddd bddd dddg gddddg bddb gdddb gddd bdddb bddg bdddg bddb gddddg gddd gdddb bddg bdddb gdddg ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#b85756ff b,#8b9195ff c,#dfc6c6ff d,#d8a3a2ff e,#eae4e5ff f,#b1b5b8ff g,#c87d7cff ``` ```image fbbfe bbbbbbbbc fbbfbbbbbbbbbc bbf efbbbbbbbbbfe cbb cbbbbbbbbbfe bbb cbbbbbbbbbfe ebb efbbbbbbbbbc bbb efbbbbbbbbbf bbe fbbbbbbbbbfe bbb cbbbbbbbbbfe bbc ebbbbbbbbbbe fbb efbbbbbbbbbc bbf efbbbbbbbbbf fbb fbbbbbbbbbfe bbf cbbbbbbbbbfe cbb efbbbbbbbbbc bbb efbbbbbbbbbc ebb efbbbbbbbb bbb cbbbb e e gaa gaaaac daaaaaaa a daaaag caa aaa daaaag aac caac daaaag aaa aaa daaaag caa gaa daaaag aac eaad daaaag aaa aaa caaaag caa gaa caaaag aac aag caaaaa aaa aaa caaaaa caa daae caaaaa aac aag caaaaa aaa aaa eaaaaa caa caac eaaaaae aac aaa aaaaae aaa aaa eaae caa eaad e aac aaa aaa gaa caa eaad aac aaa aaa daae caa aag aac aaa aaa daae caa aaa aac aaa aaa caac caa aaa aac gaa aaa eaad caa aaa aac gaa aaa aag caa aaa aac daae aaa aag caa aaa aac caac aaa aaa caa aaa aac eaad aaa aaa caa gaa aadaad aaaaa caaae aag cg ```

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Based on a first glance, I suspect there could be intersection regions here. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa559ff c,#dd90a1ff d,#e9ded4ff e,#c85c71ff f,#b3d6afff g,#a9c28dff ``` ```image ea caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaae caaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaac eaaa aaac gaaaaffffffffffg ffaaaefffffffffg ffaaaafffffffffg fffaaaeffffffffg fffaaaaffffffffg dddcc ffffaaaefffffffg ddddcccceeeeaaaaaaaaaaaaaaaaaaaaaaa dd ffffaaaaeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa fbbbd fffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad bbbbbb fffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccdddd fbbbbbbbb ffffffaaaaaaaeeeccccdddd bbbbbbbbbbbffffffffffffffg fbbb dbbbbbbgffffffffffffg bbbb fbbbbbbgffffffffffg gbbb gbbbbbbgffffffffg bbbb fbbbbbbbfffffffg gbbb gggbbbbbbbgggggf bbbb dbbbbbbg gbbb dbbbbbbf bbbg gbbbbbbd gbbb gbbbbbbd bbbg bbbbbbb gbbb bbbbbbb bbbg dbbbbbbg dbbb fbbbbbbf dg gbbbbbbd gbbbbbbd bbbbbbb bbbbbbb dbbbbbbg fbbbbbbf gbbbbbbd gbbbbbbd bbbbbbb dbbbbbbbf dbbbbbbbbd fbbbbbbbbf dbbbbbbbbbd fbbbbbbbbg gbbbbbbbbd dbbbbbbbbg gbbbbbbbbf dbbbbbbbbbd gbbbbbbbbg dbbbbbbd fbbb g ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa55aff c,#dd90a1ff d,#ece2daff e,#cf6079ff f,#c53d5bff g,#bec28eff ``` ```image faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaad faaaaaac caaaaaaa faaaaaac caaaaaaa faaaaaaecceeeeeffffaaa caaaaaaaaaaaaaaaaaaaaa faaaaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaaaaaaa faaaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaaaaaa caaaaaaaaaaffffeeee d ddddd bgd bbbgd bbbbbg bbbbbbbg bbbbbbbbbd bbbbbbbbbbbd bbbbbbbbbbbbgd dbbbbbbbbbbbbbgd dbbbbbbbbbbbbbg ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#bf2849ff b,#9fa559ff c,#d98194ff d,#dbc8b7ff e,#cb526cff f,#eee7deff g,#babe88ff ``` ```image ea daaaf aaaa caaa aaaa caaa aaaa caaa aaaa caaa aaae caaa aaae caaa aaae caaa aaae caaa aaae caaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaae eaaa aaac eaaa aaac eaaa aaac eaaa aaac eaaa aaac aaaa aaac aaaa fffddd aaac ffdddcccceeeaaaaaaaaaaaaaaaaaaaaaaa ff aaaacceeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf dbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf bbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeccccddfff dbbbbbbbb aaaaaaeeeccccdddff bbbbbbbbbbg gbbb dbbbbbbg bbbb gbbbbbbd gbbb gbbbbbbf bbbb bbbbbbb gbbb bbbbbbb bbbg fbbbbbbg gbbb dbbbbbbg bbbg gbbbbbbd gbbb gbbbbbbf bbbg bbbbbbb gbbb fbbbbbbb bbbg fbbbbbbg fbbb dbbbbbbd fg gbbbbbbd gbbbbbbf bbbbbbb fbbbbbbb fbbbbbbg dbbbbbbd gbbbbbbd gbbbbbbf bbbbbbb fbbbbbbbd fbbbbbbbbf dbbbbbbbbg fbbbbbbbbbf dbbbbbbbbg gbbbbbbbbd dbbbbbbbbg gbbbbbbbbd fbbbbbbbbbf gbbbbbbbbg fbbbbbbf dbbb g ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#21765fff b,#aeb9cdff c,#34149cff d,#609d8cff e,#6148b1ff f,#8e7dc8ff g,#dbdee9ff ``` ```image ggbddaaaaaadddg gbbddaaaaaaddbbg a gbbddaaaaaaddbbg bb gbbddaaaaaaddbgg a aaaaddbbg bb a gd a d a a dg a bg a bb a gd a e d e a f a bg dg gb a f bg f a e bb c a c gd c a c d c a e a e dg f a bg g gb f f e c c c c c e f f bg gb f e e c c c c c e f bg bb gb f e c bf c gfcccfb c gfecceb c gfecceb c beccebg e beccefg e bfcccfg f gfcccfg bg gfcccfb gb gfecceb f gfecceb f beccefg e beccefg ccfg ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#62f49eff b,#8f5ed5ff c,#cbb5ebff d,#1ef075ff e,#a9f9caff f,#a984deff g,#e7e9f3ff ``` ```image g b gc b f g c b b b gc ccg b bgc f f c c cg c b b f gc f f b cg b f c b c b b b gc b b f b f cg c ggggccccccffffffbbbbbbbb cggggggccccccfffffbbbbbbbbbbbbbbbbffffffccccccgggg cccggggg ade eda ade gddg eda ade gddg eda ade eda ade gdde eda ade gddg eda ade eda ada gdde geaaddddae eda eeaddddaaeg adddaeg ```

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This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#099976ff b,#f13994ff c,#58b89aff d,#f9b5d7ff e,#b1d6b2ff f,#90c99cff g,#ec76aeff ``` ```image eeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeef bgeeeeeeeeeeeeeeeef bbbbbbbgeeeeeeeeeef eeegbbbbbbbbgeeeef eeeeeeeeegbbbbbbbbd eeeeeeeeeeeeeeegbbbbbbbgd eeeeeeeeeeeeeeeeef dgbbbbbbbgd eeeeeeeeeeeeeeeeef dgbbbbbbbgd afeeeeeeeeeeeeeeeef dgbbbbbbbgd aaafeeeeeeeeeeeeeef dgbbbbbbbgd faaaceeeeeeeeeeeef dgbbbbbbbgd eeeaaaceeeeeeeeeef dgbbbbbbbgd eeeeeaaaaeeeeeeeef dgbbbbbbbgd eeeeeeecaaaeeeeeef dgbbbbbbbgd eeeeeeeeecaaafeeef dbbbb fffffffffffcaaacfe b eaaae bd aaac bg aaac bg caaa bb faaa bb eaaae gb eaaae db aaaf db aaac b caaa bd caa bd aa bg ca bb ae bb aa gb ca db ae db aa b ca bd ae bd aa bg fa bb ae bb aa gb fa db ae db aa b fa bd ae bd aa bg ea bb af bb aa gb ea db af db aa b ea bd af bd aa bg ea bb ac bb aa gb ea feeeeeeeegbeeeee ac eeeeeeeeeebeeeee aa eeeeeeeeeebeeeee ea eeeeeeeeeebeeeee ac eeeeeeeeeebgeeee aa eeeeeeeeeebgeeee ea eeeeeeeeeebbeeee ac eeeeeeeeeebbeeee aa eeeeeeeeeegbeeee a eeeeeeeeeegbeeee aa eeeeeeeeeeebeeee eaaae eeeeeeeeeeebeeee aaac eeeeeeeeeeebeeee caaa eeeeeeeeeeeeeeee faaae eeeeeeeeeeeeeeee eaaaf eeeeeeeeeeeeeeee aaaceeeeeeeeeeeeeeee caaafeeeeeeeeeeeee caaaceeeeeeeeeee eefaaaceeeeeeeee eeeeeaaaaeeeeeee eeeeeeecaaafeeee eeeeeeeeefaaceee ffffffffffffffff ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#089975ff b,#f23a95ff c,#50b69dff d,#f680bbff e,#cbe9e2ff f,#fac4dfff g,#8acfbeff ``` ```image bddff bbbbbbbddff bbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbbbddff ffddbbbbbbbbbbbbbb ffddbbbbbbbb ffddbb ace aaace aaaaace ecaaaaaag ecaaaaaag egaaaaaage gaaaaaace gaaaaaace gcaaaaace ecaaaaacg ecaaaaaag ecaaaaaag gaaaaaace gaaaaaace ```  The lines within area A do not intersect. Now, let's turn our attention to the next spot. This close-up might reveal an intersection in area B.  ```palette Key,Color ,#fefefeff a,#089976ff b,#f23894ff c,#51b79eff d,#f9abd2ff e,#a3d9cbff f,#f1dfeaff g,#f572b3ff ``` ```image gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd gbbd dbbg dbbg fbbg fbbb bbb bbbf gbbf gbbd ff e aae aaaacf aaaaaace eaaaaaace ecaaaaaaef fcaaaaaacf feaaaaaace ecaaaaaae ecaaaaaacf fcaaaaaace eaaaaaace ecaaaae ```  Area B is clear of intersections, but the search continues. Answer: A: 0; B: 0; 0 + 0 = 0 I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#099976ff b,#f23995ff c,#67c0aaff d,#f89ecaff e,#b3dfd4ff f,#fbcde4ff g,#f570b2ff ``` ```image bdf bbbbbbbdf fdbbbbbbbgdf fdbbbbbbbgdf fgbbbbbbbgd fgbbbbbbbgd fgbbbbbbbgd ae fgbbbbbbbgf aaae dgbbbbbbbgf eaaac dgbbbbbbbgf aaac dgbbbbbbbgf aaac dgbbbbbbbdf caaa fdgbbbbbbbdf caaa fdbbbb eaaae b eaaae bf aaac bd aaac bg caaa bb caaa bb eaaae gb eaaae db aaac fb aaac b caaa bf caae bd aa bg ca bb ae bb aa gb ca db ae fb aa b ca bf ae bd aa bg ca bb ae bb aa gb ca db ae fb aa b ca bf ae bd aa bg ea bb ac bb aa gb ea db ac fb aa b ea bf ac bd aa bg ea bb ac bb aa gb ea db ac fb aa b ea bf ac bd aa bg ea bb ac bb aa gb ea db aae fb eaaae b eaaac bf aaaa f caaae eaaac aaac caaa eaaae eaaac aaaa caaae eaae ```

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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.  ```palette Key,Color ,#fefefeff a,#e9c945ff b,#f334b7ff c,#f8dbd0ff d,#e47fb6ff e,#d7ce77ff f,#b1d7b1ff g,#96ca95ff ``` ```image c eaaaec e aaaaaaaae cc aaac eaaaaaaaaaae caaac aaa eaaaaaaaaaac aaaaaeggggggggggggggggggggggggggggggggggggggaaaeggf ceaaaaaaaaaac aaaaaaaaffffffffffffffffffffffffffffffffffffffaaafffg ceaaaaaaaaaac aaaaaa aaafffffffffffffffffffffffffffffffffffffeaaefffg caaaaaaaaaaeaaaaaac aaafffffffffffffffffffffffffffffffffffffaaabdffg caaaaaaaaaaac eaaffffffffffffffffffffffffffffffffffffeaaabbffg caaaaac caaefffffffffffffffffffffffffffffffffffaaabbbffg c aaefffffffffffffffffffffffffffffffffffaaabbfffg aaaffffffffffffffffffffffffffffffffffaaabbbfffg aaaffffffffffffffffffffffffffffffffffaaabbdfffg aaafffffffffffffffffffffffffffffffffaaabbbffffg eaafffffffffffffffffffffffffffffffffaaabbdffffg caaffffffffffffffffffffffffffffffffeaadbbfffffg aaefffffffffffffffffffffffffffffffaaabbbfffffg aaaffffffffffffffffffffffffffffffeaaebbffffffg aaaffffffffffffffffffffffffffffffaaabbbffffffg aaafffffffffffffffffffffffffffffeaaabbfffffffg eaafffffffffffffffffffffffffffffaaabbbfffffffg eaafffffffffffffffffffffffffffffaaabbdfffffffg caaefffffffffffffffffffffffffffaaabbbffffffffg aaafffffffffffffffffffffffffffaaabbdffffffffg aaaffffffffffffffffffffffffffaaabbbfffffffffg aaaffffffffffffffffffffffffffaaabbbfffffffffg aaafffffffffffffffffffffffffeaadbbffffffffffg eaafffffffffffffffffffffffffaaabbbffffffffffg gaaefffffffffffffffffffffffeaaebbfffffffffffg faaafffffffffffffffffffffffaaabbbfffffffffffg faaaffffffffffffffffffffffeaaabbdfffffffffffg faaaffffffffffffffffffffffaaabbbffffffffffffg faaaffffffffffffffffffffffaaabbdffffffffffffg feaafffffffffffffffffffffaaabbbfffffffffffffg ffaaeffffffffffffffffffffaaabbbfffffffffffffg ffaaafffffffffffffffffffaaadbbffffffffffffffg ffaaafffffffffffffffffffaaabbbffffffffffffffg ffaaaffffffffffffffffffeaadbbdffffffffffffffg ffaaaffffffffffffffffffaaabbbfffffffffffffffg ffeaafffffffffffffffffeaaebbdfffffffffffffffg fffaaeffffffffffffffffaaabbbffffffffffffffffg fffaaefffffffffffffffeaaabbbffffffffffffffffg fffaaafffffffffffffffaaabbbfffffffffffffffffg fffaaafffffffffffffffaaabbbfffffffffffffffffg fffaaaffffffffffffffaaabbbffffffffffffffffffg fffeaaffffffffffffffaaabbbffffffffffffffffffg b fffeaaeffffffffffffaaadbbdffffffffffffffffffg bbb ffffaaeffffffffffffaaabbbfffffffffffffffffffg bbbb ffffaaafffffffffffeaaebbdfffffffffffffffffffg bbbb ffffaaafffffffffffaaabbbffffffffffffffffffffg bbbb ffffaaaffffffffffeaaebbbffffffffffffffffffffg bbbd ffffeaaffffffffffaaabbbfffffffffffffffffffffg bbbc ffffeaaeffffffffeaaabbbfffffffffffffffffffffg cbbbc fffffaaeffffffffaaabbbffffffffffffffffffffffg dbbb fffffaaaffffffffaaabbbffffffffffffffffffffffg bbbb fffffaaafffffffaaadbbdffffffffffffffffffffffg bbbb fffffaaafffffffaaabbbfffffffffffffffffffffffg bbbb fffffeaaffffffeaaebbdfffffffffffffffffffffffg bbbd fffffeaaefffffaaabbbffffffffffffffffffffffffg bbbd ffffffaaefffffaaabbbffffffffffffffffffffffffg cbbbc ffffffaaaffffeaadbbfffffffffffffffffffffffffg dbbb ffffffaaaffffaaabbbfffffffffffffffffffffffffg dbbb ffffffaaaffffaaabbffffffffffffffffffffffffffg bbbb ffffffeaafffaaabbbffffffffffffffffffffffffffg bbbb ffffffeaafffaaabbdffffffffffffffffffffffffffg bbbb fffffffaaeffaaabbfffffffffffffffffffffffffffg bbbd fffffffaaafaaabbdfffffffffffffffffffffffffffg bbbc fffffffaaafaaabbffffffffffffffffffffffffffffg cbbbc fffffffaaaeaadbbffffffffffffffffffffffffffffg dbbb fffffffaaaaaabbfffffffffffffffffffffffffffffg bbbb fffffffeaaaaabbfffffffffffffffffffffffffffffg bbbb ffffffffaaaadbdfffffffffffffffffffffffffffffg bbbb ffffffffaaaabbffffffffffffffffffffffffffffffg bbbd ffffffffaaaabdffffffffffffffffffffffffffffffg bbbd ffffffffaaabbfffffffffffffffffffffffffffffffg cbbbc ffffffffeaabbfffffffffffffffffffffffffffffffg dbbbc fffffffffbbbffffffffffffffffffffffffffffffffg dbbbbbbbbbdc fffffffffbbbffffffffffffffffffffffffffffffffg bbbbbbbbbbbbbbbbbddfffbbbfffffffffffffffffffffffffffffffffg cdbbbbbbbbbbbbbbbbbbbbbfffffffffffffffffffffffffffffffffg cdbbbbbbbbbbbbdfffffffffffffffffffffffffffffffffg fffffdbbbbffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffg ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#eac945ff b,#f333b7ff c,#f7ecc0ff d,#f674cdff e,#f0d981ff f,#ef8283ff g,#fabbe6ff ``` ```image e aaaa a eaaae a aaaa a aaaag a caaaabb a aaaaabbbg a aaaafbbg ac caaaabbb ae caaaabbbb ae eaaaabbbd aa aaaafbbd aac aaaabbbg aac caaafbbb aae caaaabbbb aaa aaaafbbbd aaa aaaabbbd aaa caaaabbbg aaa aaaabbbb aaa eaaafbbbb aaac caaaabbbb aaac aaaaabbbd aaae aaaaabbbg eaaa caaaabbbg eaaa eaaafbbb caaac eaaaabbbb aaae aaaaabbbd aaaa aaaabbbd aaaa caaafbbbg aaaac aaaabbbb aaaae aaaafbbbb aaaae aaaabbbbg eaaaa caaaabbbd eaaaa eaaafbbb caaaa eaaafbbbb aaaa aaaabbbbd eaaa aaaaabbbb eaaac aaaaabbbg caaac aaaafbbb aaae eaaafbbb aaae caaaabbbb aaaa aaaaabbbd aaaac aaaafbbbg aaaae caaaabbbg aaaae aaaafbbb eaaaa caaaabbbb caaaa aaaabbbbd caaaa aaaabbbbg aaaa eaaafbbbg eaaa aaaabbbb caaac aaaabbbbb caaac caaaabbbbd aaae aaaaabbbd eaaa aaaafbbbg eaaa caaaabbbb caaac caaaabbbb aaae eaaaabbbb aaaa aaaaebbbd aaaa aaaadbbbg aaaa aaaafbbbg aaaa caaaabbbb aaaa eaaafbbbb eaaa aaaabbbbd caaac caaaabbbb aaae aaaabbbbg aaae eaaaebbbb eaaa aaaabbbbb eaaac aaaabbbbg caaae eaaafbbbd aaae caaaabbbbg aaaa eaaaebbbd aaaac eaaaabbbb aaaac aaaaabbbb aaaae aaaafbbbd aaaae aaaabbbb eaaaa eaaafbbbg caaaa aaaabbbb caaaa caaaabbbb aaaa aaaaabbbg eaaa aaaafbbb caaac caaafbbb caaac eaaafbbb aaae caaafbbbd aaaa eaaabbbbg aaaac aaaabbbg aaaac aaaabbb aaaae caaafbbb eaaaa aaaabbbd eaaaa caaafbbbg caaaa aaaabbbg aaaacaaaabbb eaaaaaaaabb eaaaaaaafbb caaaaaaabbb aaaaaafbbg aaaaaabbb eaaaaabb caaaaabb aaaabbd aaafbbg eafbbg gbbbb dbbbb dgg bbbbd bbbbbddg bbbb bbbbbbbbbbbbbbbbg bbbbbbbbbbbbbbbd ggddbbbbbbbbbb gddbbbbb g ```  It's a shame, but area A doesn't contain an intersection. Answer: A: 0; 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#eac945ff b,#f333b8ff c,#f7edc1ff d,#f773cdff e,#f0d983ff f,#ef778aff g,#fabbe7ff ``` ```image c eaaaec e aaaaaaaae cc aaac eaaaaaaaaaae caaac aaa eaaaaaaaaaae aaaaae eaac ceaaaaaaaaaac aaaaaaaa aaa ceaaaaaaaaaac aaaaaa aaa eaae caaaaaaaaaaeaaaaaac aaa aaabd caaaaaaaaaaac eaa caaabb caaaaae caac aaabbb c aae caaabb aaa aaabbb aaa aaabbg aaa aaafbb eaa aaabbd caac eaafbb aae aaabbd aaa eaafbb aaa aaabbb aaa caaabbg eaa aaabbb caac caaabbg aae aaabbb aaa aaabbd aaa aaafbb aaa aaabbb aaa eaafbb eaac aaabbb caae eaafbbg aaa aaabbb aaa caaabbg aaa aaabbb aaa caaabbd eaa aaabbb caac aaabbb aae aaafbb aaa aaabbb aaa eaafbbg aaa aaabbb eaa eaaebbd caac aaabbb aae caaabbd aaa aaabbb aaa caaabbb aaa aaabbb eaa aaabbb d caac aaafbbg bbb aae aaabbb bbbb aaa eaafbbd bbbb aaa aaabbb bbbb aaa eaaebbd bbbd eaa aaabbb bbbg caac caaabbb gbbbg aae aaabbbg dbbb aaa aaabbb dbbb aaa aaadbbg bbbb aaa aaabbb bbbb eaa caaebbd bbbd caac aaabbb bbbd aae aaabbb gbbbg aaa eaafbb gbbb aaa aaabbb dbbb aaa aaabbg bbbb eaa eaabbb bbbb caac aaabbg bbbb aae caaabb bbbd aaa aaabbd bbbg aaa aaabb gbbbg aaacaafbb dbbb eaaaaabb dbbb caaaaabb bbbb aaaafbg bbbb aaaabb bbbd aaaabd bbbd aaabb gbbbg eaabd gbbbg bbb dbbbbbbbbddg bbb bbbbbbbbbbbbbbbbbdg bbb gdbbbbbbbbbbbbbbbbbbbbb gddbbbbbbbbbbbg gddbbb ```

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Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#a8f14aff b,#b59c94ff c,#8eee11ff d,#d8cac6ff e,#dbf9b5ff f,#c4f583ff g,#f0f2e5ff ``` ```image d dbbbbbb gdbbbbbbdg gdbbbbbbdg dbbbbdg bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb gbd bb gbd bbg gbd bbg gbb bbg c bbb gc dbbd ce bbbg ec dbbd ce bbbg ec dbbd cg bbbg ec dbbd cg gbbbg fc bd c db fc bg c b fa gb c bd aa bg c b aa b c b aa b c b cf gb c gb cf db gc dd ce bd c bg fa b cg c fa cg c fa cg c fa cg c fa cg c fc ce c cccfe fc eacccccae ce efcccccafg c gfacccccfe ec eacccccae ce efcccccafg c gfacccccfe ec eacccccae ce efcccccafg c gfaccc ```

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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.  ```palette Key,Color ,#fefefeff a,#ba035bff b,#27594bff c,#e08fb6ff d,#74958aff e,#ebd3dfff f,#cb4485ff g,#afd5b0ff ``` ```image f af fa f ea aaf ac cafa aa af aa ca aa eae ae fa aa af cae af fa af ca ea aa aa ac fa eac aa eac fa ca af af ae aa ca af fa aa fa eac ac ea aa fa ac aa af aa fae cae ca eac aa ae aa ac aa aa fa fa cae af a af cae af aa aa fa aa ac ea cae fa ac af aa aa aa eae ca fa aa ae cae ac af af fa fa aa aa ea fa eae ac eac gggggggggggaagggg aa af ggggggggggggafggg ca aa ggggggggggggggggg ae fa ggggggggggggggggg af eac ggggggggggggggggg fa aa ggggggggggggggggg ea aa ggggggggggggggggg ac fae ggggggggggggggggg aa eac ggggggggggggggggg ca aa ggggggggggggggggg ae aa ggggggggggggggggg af cae ggggggggggggggggg fa eaf gggggggggggbbgggg a aa gggggggggbbbdgggg ac aa gggggggbbbdgggggg aa cae gggggbbbdgggggggg ea af gggbbbdgggggggggg ac aa gbbbggggggggggggg aa fa ebbbggggggggggggggg be ca cae gbbbggggggggggggggggg bb a af gbbb ggggggggggggggggg ebe af aa gbbb ggggggggggggggggg bb fafa gbbb ggggggggggggggggg bg eaac dbbb ggggggggggggggggg bb af dbbd ggggggggggggggggg bd dbbd ggggggggggggggggg db dbbd ggggggggggggggggg bd dbbd db bbbd bd bbbg gb bbbg bb bbbg gb ebbbg bb ebbbe ebe ebbbe bb gbbbe bg gbbb bb gbbb bg gbbb bb dbbb bd dbbd db dbbd bd dbbd dbdbbd bbd ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#bd0c62ff b,#245649ff c,#df8cb4ff d,#78978fff e,#dde1e0ff f,#487267ff g,#acbfbaff ``` ```image caaa aaac caaa aaac eac gff gfbbbe gfbbbbbg gfbbbbfg gfbbbbfg gfbbbbfg gbbbbbfg dbbbbbfg edbbbbbfg edbbbbbfg edbbbbbfe edbbbbbde dbbbbbde bbbbde bbde de ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ba025bff b,#26584aff c,#e08fb6ff d,#62867cff e,#e6d4ddff f,#cb4385ff g,#9db4aeff ``` ```image f af fa f ea aaf ac cafa aa af aa ca aa eae ae fa aa af cae af fa af ca ea aa aa ac fa eac aa eac fa ca af af ae aa ca af fa aa fa eac ac a aa fa ac aa af aa fae cae ca eac aa ae aa ac af aa fa fa cae af a af cae af aa aa fa aa ac ea cae fa ac af aa aa aa eae ca fa aa ae cae ac af af fa fa aa aa ea fa eae ac eac aa aa af ac ca aa ae fa af eac fa aa ea aa ac fae aa eac ca aa ae aa af cae fa eaf dbe a aa bbbg ac aa bbbg aa cae bbbg ea af ebbbe ac aa ebbbe aa fa ebbbe be ca cae ebbbe bb a af gbbb ebe af aa gbbb bb fafa gbbb bg eaac gbbd bb af gbbd bg dbbd db dbbd bd dbbd db dbbg bd bbbg gb bbbg bb bbbg gb ebbbe bb ebbbe ebe ebbbe bb ebbbe be gbbb bb gbbb bg gbbb db gbbd bg gbbd db dbbd bd dbbd gbdbbd bbg ```

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

0

```palette Key,Color ,#fefefeff a,#a514ebff b,#a0bc4fff c,#d084f4ff d,#c0d38aff e,#e6c0f9ff f,#e3ebccff g,#bb4fefff ``` ```image f fb fb b b b bf bf bd bd dd db fb fb b b b b bf bf bd dd db db fb fb c b ae b ga b ccge bf a a bf a cc bf a a bd eg dd ce db a fb a fb a fb eg b ge b a b a bf a bf ec bd ge dd a db a db a fb ec fb g b a b a b a bf cc bf a bf a bd a dd g db cc bbbbbbbbbbbbbbbbbbbbbbbbbbbb a a a eg ce a a a eg ge ea cgaaaace ecgaaagce ecaaaage cgaaaace ecgaaagce ecaaaagc egaaaage ecgaaaace ecaaaagc egaaaage aaace ```

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Zero intersections in this image, no doubt about it.

0

```palette Key,Color ,#fefefeff a,#397142ff b,#b519a5ff c,#a8c1acff d,#ce67c3ff e,#6a9470ff f,#14571eff g,#e3c1dfff ``` ```image gg bbbbbbbbbbbbbbbdddggg gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg gbbbbdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddggg dbbbb gggddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbb gggdddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbd gggdddbbbbbbbbbbbb bbbbg gbbbb dbbbb bbbbb bbbd bg ffffffffffffffffffffc fffffffffffffffffffff fffffffffffffffffffffe fff fffc gfff fffg cfff fff efff fff effa fff affe fff fffe fff fffc gfff fffc cfff fffg efff fff effa fff affe fff fffe fff fffc gfff fffc cfff fe fffg ffff cfff ffffffc fff ffffffe effa ffffffe fff ffffffe affa ffffffe fff ffffffe affe ffffffe fff ffffffe fffc afffffe gfff afffffe fffc afffffe cfff afffffe fffg afffffe cfff afffffe fff afffffe effa afffffa fffafffffa affffffa ffffa efa ```

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I'm optimistic that I'll find some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#ad5929ff b,#9ec086ff c,#d9b39eff d,#7a9332ff e,#c0815cff f,#e9e2d4ff g,#b1d7b0ff ``` ```image c caac aaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac faaaaac faaaaae faaaaae faaaaae faaaaae faaaaae faaaaae ff faaaaae eaa faaaaae aaa faaaaae aae faaaaae aac faaaaae caa faaaaae eaa faaaaae aaa faaaaae aae aaaaae faaf aaaaae caa aaaaae aaa aaaaaa aaa aaaaaa aac aaaaaa faaf aaaaaa eaa aaaaaa aaa aaaaaa aae aaaaaa aac eaaaaa caa eaaaaaaa bgggggaaaaaaggggggg bgggggggaaaeggggggg bgggggggggbgggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggggggggg bgggggggggggbdddggg bgggggggggddddddggg bggggggbdddddddgggg bggggdddddddbgggggg bgbdddddddggggggggg dddddddbggggggggggg gdddddddgggggggggggggg bddddddbgggggggggggggggg gddddddbbgggggggggggggggggg bddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg bddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg dddddddf bgggggggggggggggggg gddddddb bgggggggggggggggggg dddddddf gddddddb fdddddddf bddddddb fdddddddf bddddddb fdddddddf bddddddg fdddddddf bddddddg fddddddd bddddddg fddddddd bddddddg fddddddb bddddddg gddddddb dddddf fdb ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#ad5828ff b,#9daf68ff c,#d8d4baff d,#7a9231ff e,#b9c391ff f,#edeee2ff g,#bc7750ff ``` ```image cgaaaaaaaaaaaaaae cgaaaaaaaaaaaac cgaaaaaaaaaaf cgaaaaaaaa cgaaaaag cgaagf fc cf fedde cbddddd feddddddddc cbddddddddddb feddddddddddddde cbddddddddddddbc fedddddddddddddef cbddddddddddddbc fedddddddddddddef cbddddddddddddbc fedddddddddddddef cbddddddddddddbc ddddddddddddef dddddddddbc dddddddef ddddbc ddef c ```  No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#ad5828ff b,#9eb06aff c,#d3c7a9ff d,#799231ff e,#cc997cff f,#e9e3d5ff g,#ba734bff ``` ```image c caac aaaaac caaaaac caaaaac caaaaac caaaaae caaaaae caaaaae caaaaae caaaaae caaaaae caaaaae faaaaae faaaaae faaaaae faaaaae faaaaae ff faaaaae gaa faaaaag aaa faaaaag aag faaaaag aac faaaaag caa faaaaag gaa faaaaag aaa faaaaag aae aaaaag faaf aaaaag eaa aaaaag aaa aaaaag aaa aaaaag aae aaaaag faaf gaaaag eaa gaaaaa aaa gaaaaa aag gaaaaa aac gaaaaa caa gaaaaaaa gaaaaa gaae f f cddd bddddd cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb bddddddf cddddddb fdddddddf cddddddb fdddddddf cddddddc fdddddddf bddddddc fdddddddf bddddddc fddddddb bddddddc fddddddb bddddddc cddddddb bddddddc cddddddb dddddc fdb ```

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I'm analyzing this image to identify any points where lines intersect. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#3e11e0ff b,#8b17acff c,#ccbaf1ff d,#b1d7b1ff e,#9f79ccff f,#97c39bff g,#694edfff ``` ```image ebb dffffffbbbbbbbfffffffffffffffffffffffffffffff fddebbbbbbbfbbbdddddddddddddddddddddddddddddd ebbbbbbbedddddbbbddddddddddddddddddddddddddddd cbbbbbbbeddddddddddbbbdddddddddddddddddddddddddddd cbb ebbbbbbbfdddddddddeaaddbbbddddddddddddddddddddddddddd bbc ebbbbbbbc fddddddddgaaadddbbedddddddddddddddddddddddddd bb ebbbbbbe fdddddddaaaaadddfbbeddddddddddddddddddddddddd cbb bbbc fddddddaaadaaddddebbfdddddddddddddddddddddddd bbe fdddddaaaddaadddddebbdddddddddddddddddddddddd bb fdddeaaadddaaddddddbbbddddddddddddddddddddddd cbb fddgaagddddaadddddddbbbdddddddddddddddddddddd bbe fdgaaedddddaaddddddddbbbddddddddddddddddddddd bb faaafddddddaafddddddddbbbdddddddddddddddddddd bb aaaddddddddaaedddddddddbbbddddddddddddddddddd ebe caaadddddddddgaeddddddddddbbbdddddddddddddddddd bb caaaddddddddddgaedddddddddddbbbddddddddddddddddd bb gaagfddddddddddgagddddddddddddbbedddddddddddddddd ebe aaac fddddddddddeagddddddddddddfbbeddddddddddddddd bb aaa fddddddddddeaadddddddddddddebbedddddddddddddd bb aaa fddddddddddfaaddddddddddddddebbfddddddddddddd ebe caaa fdddddddddddaadddddddddddddddebbddddddddddddd bb eaag fdddddddddddaaddddddddddddddddbbbdddddddddddd bb gaae fdddddddddddaadddddddddddddddddbbbddddddddddd ebe aaac fdddddddddddaaddddddddddddddddddbbbdddddddddd bb aaa fdddddddddddaadddddddddddddddddddbbbddddddddd bb aaa fdddddddddddaaddddddddddddddddddddbbbdddddddd ebe caa fdddddddddddaadddddddddddddedddddddbbbddddddd bb c fdddddddddddaaddddddddddddaagdddddddbbbdddddd bb fdddddddddddaaddddddddddddaaaedddddddbbeddddd ebb fdddddddddddaaddddddddddddaaaadddddddfbbedddd bb fdddddddddddaafddddddddddeaagaadddddddebbfddd bb fdddddddddddgaeddddddddddgaedaaadddddddebbddd ebb fdddddddddddgaeddddddddddaadddaaadddddddbbbdd bbc fdddddddddddgagddddddddddaaddddaagdddddddbbbd bb fdddddddddddeagddddddddddaaddddfaafdddddddbbb ebb fdddddddddddeagdddddddddgagdddddgaaddddddddbbb bbc caa aac aaa bbb bb aa aa aaa bbb cbb aa aa aag bbb bbc aa caa caac bbe bb aa gae eaa cbbe cbb aa aa gaa cbbcbbc aa aa aaa ebbbb aa aa aag ebbb aa eag aac ebc aa aac caa aa aa gaa aac aa aaa gac caa aag gac gae aac gae aa caa eag aa gaa cag aa aaa caa eag aag caa aac aae aa aa caac aa aa eaa aa caa aaa aa gae aaa aa aac aae aa aa caac aa aa eaa aa cag gaa aa gac aaa aac aa aag aac aa aac gaccaa caa gaeeag gaa eaeaac aaa eagaa aag cagaa aac caaaa caa aaae gaa aaa aaa aaa aag aaa ac aag aac aa cc ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#3d11e1ff b,#8b15acff c,#bf9ce5ff d,#e0cff2ff e,#8f76edff f,#aa56c3ff g,#6642e6ff ``` ```image dcfbbbbbbbbc dfbbbbbbbbbbbbbc dcfbbbbbbbbbbbbbbbbbc dcfbbbbbbbbbbbbbfcdcbbbbbd dfbbbbbbbbbbbbbbfc cbbbbbd fbbbbbbbbbbbbbfcd cbbbbbd bbbbbbbbbbfcd fbbbbbd bbbbbbbfc fbbbbb bbbfcd cgae fbbbbf cd caaaad fbbbbf eaaaaad bbbbbf gaaaaaac dbbbbbf dgaaaaaaac dbbbbbc daaaaaaaaac dbbbbbc caaaaaagaaae dbbbbbc eaaaaagdeaaae cbbbbbd eaaaaag eaaae cbbbbbd gaaaaae eaaag cbbbbbd dgaaaaac caaag fbbbbbd daaaaaad caaag fbbbbf caaaaagd caaag fbbbbf eaaaaag daaaa fbbbbf gaaaaae daaaa dbbbbbf dgaaaaae daaaa dbbbbbc daaaaaac aaaa dbbbbbc caaaaaad aaaad dbbbbbc eaaaaagd aaaad cbbbbbd eaaaaag aaaad cbbbbbd aaaaae gaaac cbbbbbd aaaac gaaac fbbbbbd aaad gaaac fbbbbb agd eaaae fbbbbf g eaaae fbbbbf eaaae bbbbbf eaaae dbbbbbf caaag dbbbbbc caaag dbbbbbc caaag dbbbbbc daaaa cbbbbbd daaaa cbbbbbd daaaa cbbbbbd aaaa fbbbbbd aaaad fbbbbf aaaad fbbbbf aaaad fbbbbf gaaac dbbbbbf gaaac dbbbbbc gaaac dbbbbbc gaaae dbbbbbc eaaae cbbbbbd eaaae cbbbbbd eaaae cbbbbbd caaag fbbbbbd caaag ce fbbbbb caaag eaaad fbbbbf daaag aaaag fbbbbf daaaa daaaaae bbbbbf daaaa caaaaaac dbbbbbf daaaa eaaaaaaad dbbbbbc aaaad aaaaaaaaad dbbbbbc aaaad daaaaeaaaag dbbbbbc aaaad caaaa eaaaae cbbbbbd gaaad eaaag gaaaae cbbbbbd gaaac gaaae daaaaac cbbbbbd gaaac aaaad daaaaad fbbbbb gaaac daaaa caaaag fbbbbf eaaae caaag eaaaag fbbbbf eaaae eaaae gaaaae fbbbbf eaaae gaaac daaaaac dbbbbbf eaaag aaaad daaaaad dbbbbb caaag caaaa caaaag dbbbb caaag eaaag eaaaag dbbb ```  This isn't an intersection in area A, but I'm not discouraged. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#3d10e1ff b,#8a15acff c,#ba9ae8ff d,#decef3ff e,#886decff f,#aa55c3ff g,#603ce6ff ``` ```image cbb dbbbbbbb dfbbbbbbfdbbb cbbbbbbbc bbb d dbbbbbbbf bbb dbb dfbbbbbbfd caa bbf bbc cbbbbbbbc gaaa dbbf bb cbbbbbbf aaaaa dbbc dbb bbfd aaadaa cbbd bbc aaa aa cbbd bb daaa aa fbb dbb eaag aa fbb fbc gaac aa bbb bb aaad aad bbb dbb aaa gad bbb fbf daaa gac bbb bb caag eac bbf bb eaae eae bbf fbf gaac cag dbbc bb aaad cag dbbc bb aaa daa cbbd fbf daaa aa fbb bb eaag aa fbb bb gaae aa bbb fbf aaad aa bbb bb aaa aa bbb bb daaa aa bbb fbf daa aa e bbb bbd c aa aag bbf bb aa aaac dbbf cbf aad aaaad dbbc bbd aad caaeaa cbbd bb gac gac aaa cbbd cbf eac aa aag fbb bbd eae aa aae fbb bb cae aa daad bbb cbb cag eag eaa bbb bbd daa aad gaa bbb bb daa aa aag bbb cbb aa aa aae bbf bbd aa daa daad bbf bb aa gae caa dbbc cbb aa aa gaa dbbdbbd aa aa aaa cbbbb aa aa aae fbbb aa cag daac fbd aa aac caa aa aa gaa aad aa aaa gac daa aag gac eae aac eae aad caad eae aa eaa cag aa aaa dag cag aag daa gac aae aa aa daad aa aa eaa aa daa gaa aa eae aag aa aad aae aa aa daad aa aa caa aa cag gaa aa gac aaa aad aa aae gad aa daac gacdaa caa eaceae gaa eaeaad aaa cagaa aag cagaa aac daaag caad aaac eaa aaa aaa aaa aag aaa ac aae aad aa dc ```

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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.  ```palette Key,Color ,#fefefeff a,#65a508ff b,#98ca94ff c,#b2d7b1ff d,#71ac22ff e,#95c57fff f,#edf4e7ff g,#86ba4cff ``` ```image gc eaaaaac faad eaaaac daaf eaaaac gaac eaa caag fa faaaf af gaac ac caag ae faad ag daaf aa eaae aa faad ga daaf ea gaac ca caag fa faaaf af gaac ac caag ae faad ag daaf aa eaae da ffffffffffffffaad ga ccccccccccccaaaf ea ac ccccccccccgaag ca faf cccccccceaadcb fa ga ccccccceaacccb af ad cccccccaaccccb ac ac cccccccagccccb fagfffffffffffffffeafff cccccceacccccb bcadcccccccccccccccaacccb ccccccaacccccb bcaacccccccccccccccagcccb ccccccagcccccb bcdacccccccccccccceaccccb ccccceaccccccb bcgaccccccccccccccdaccccb cccccaaccccccb bcgaccccccccccccccadccccb cccccagccccccb bceaccccccccccccccabccccb cccceacccccccb bccacccccccccccccgacccccb ccccaacccccccb bccabccccccccccccaacccccb ccccagcccccccb bccaeccccccccccccagcccccb ccceaccccccccb bccagccccccccccceaccccccb cccaaccccccccb bccadcccccccccccdaccccccb cccagccccccccb bccaacccccccccccadcccbccb cccebccccccccb bccdacccccccccccabccceccb ccceeebccccccb bccgaccccccccccgacccceccb ccccceeebccccb bccgaccccccccccaacccceccb ccccccceeebccb bcceaccccccccccaecccbeccb ccccccccceeebb bcccaccccccccceaccccbeccb ccccccccccceeec bcccaeccccccccaacccceeccb ccccccccccccceeec bcccagccccccccagcccceeccb bbbbbbbbbbbbbc beec bcccagcccccccbaccccceeccb beec bcccadcccccccdacccccebccb beec bcccaacccccccadcccccebccb beec bcccdacccccccaecccccecccb beec bcccgaccccccgaccccccecccb beec bcccgaccccccaacccccbecccb beec bccceaccccccagcccccbecccb beec bccccaccccceaccccccbecccb beec bccccaeccccdacccccceecccb beec bccccagccccadcccccceecccb beec bccccagccccabccccccebcccb beec bccccadcccgacccccccebcccb beec bccccaacccaacccccccebcccb beec bccccdacccagccccccceccccb beec bccccgacceacccccccceccccb beec bcccceaccdacccccccbeccccb beec bccccbaccadcccccccbeccccb beec bcccccaccabcccccccbeccccb beec bcccccaegacccccccceeccccb beec bcccccagaacccccccceeccccb beec bcccccagaeccccccccebccccb beecbcccccaaacccccccccebccccb eeebccccaaacccccccccebccccb eeebccdagcccccccccecccccb bceeebgaccccccccccecccccb cbbbeeegbbbbbbbbbbebbbbbc eeec ce eeec be eeec ee eeec ee eeeec eec ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#65a508ff b,#c0dba7ff c,#d8e8c8ff d,#73ad21ff e,#98c680ff f,#f2f7eeff g,#91be50ff ``` ```image f bd cdaa fgaaaa baaaaae cdaaaagc gaaaadb baaaaef gaagc faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae faaac baad gaae dgdc ceebf eeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeebf ceeeeeeb ceeeee ceee ce ```  Based on this close-up, I can conclude that there's no intersection in area A. Moving on to the next area. This close-up of area B is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#65a508ff b,#b7d598ff c,#cee3bcff d,#7cb22eff e,#97c580ff f,#e7f1deff g,#95c155ff ``` ```image baag baag baag daab caad faaaf faaa baad faaa gaae aaaf aaac daac caaa daac eaag gaab daab eaae faaaf baag baad baag gaae caad aaac faaa caaa faaa eaag aaaf daab daac faaaf daac baad gaab gaab eaae aaaf baag caad baag gaag caad daac faaa caaa faaa baag cccf aaaf daab beef daac faaaf eeef daac baad eeef gaab gaae eee eaae aaac feee baag caaa feeb baag eaag ceeb caad daab ceec faaa faaaf ceec faaa baad beec aaaf gaae beef daac aaac eeef daab caaa eee gaab eaag eee eaae daab feee baag faaaf feeb baad baad ceeb caad gaab ceec faaa aaaf beec aaa caad beec aaaf gaag beef daac daac eeef gaab caaa eee gaab baag feee eaae daab feee baag faaaf feeb caad baad ceeb caad gaae ceec faaa aaac beec aaaf caaa beec aaaf eaag beef daac daab eeef gaab faaaf eee gaab baad feee eaae gaae feee baag aaac feeb caad caaa ceeb caad eaag ceec faaa daab beec aaaf faaaf beec aaaf baad beef daac gaab eeef gaab aaaf eee gaab caad feee eaae gaag feee baag daac feeb caad caaa ceeb caad baag ceec faaa daab beec aaaf faaaf beec aaaf baad eeef daac gaae eeef gaab aaac eee gaabcaaa feee eaageaag feee baagdaab ceeb caadaaaf ceeb caaaaad ceec c faaaaae beec eec aaaaac beef eeeec daaaa eeef eeeeeec daaag eeef ceeeeeec gaaab eee ceeeeeec gaaaf feee ```  No luck this time. Area B doesn't have an intersection. Answer: A: 0; B: 0; 0 + 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#65a509ff b,#b3d392ff c,#c8e0b7ff d,#80b434ff e,#95c583ff f,#e7f1ddff g,#9fc766ff ``` ```image dc gaaaaab faad gaaaab aaaf gaaaab gaab baa caad fa aaa af daac ac baag ag faaa ad daaf aa gaag aa faad da aaaf ga gaab ca caad fa aaa af daac ab baag ag faaa ad daaf aa baag aa faad da aaaf ba ac gaab ca faf caad fa da baa af ad aa ab ac ag ag ba ba ad aa aa aa ag ag da ca ca ga da aa ba ad ag ca ac ca fa ga aa ac aa ag ab ab ca ag ca aa ad aa ag aa ad cf ec da faf ef beec ga ga e beec ba aa fe beec ca ab ce beec fa ba be beec ac aa ee beec ab ag ee eeec ag faf eb eeec ad da ec eeec aa ad ec eeec da ac ef eeec ga ba fe eeec ba aa fe eeec ca ag ce eeec af ca be eeec ac da ee eeec ab ad ee eeec ag ac eb eeec ad ga ec eeec aa aa ef eeec da ab ef eeec ga ca fe eeec ba aa fe eeec ca ad ce eeec affaf be eeec acga ee eeec abaa ee eeec agab eb eeec aaa ec eeec aaa ef eeec dag ef eeecgaf fe eeed fe eeec ce eeec be eeec ee eeec ee eeeeb eec ```

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Time to put on my detective hat and find those intersection points! These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#316994ff b,#e7efbaff c,#729aafff d,#cddae5ff e,#f2f6e6ff f,#95c897ff g,#b1d7b1ff ``` ```image eb ebbb ebbbbb ebbe bbe ebbe ebb ebbe bbb bbe bbb bb bbe bb ebb bb bbb bb bbb bb bbe bb ebbe bb ebb bb bbb bb bbb bb bbe bb ebb ebb bbb bb ebb bbb ebbbe ebb bbe bbbb ebb ebb ebbbe ebe bbb bbbb bbe bbb ebbbb bbe bbe bbbbe bbe ebb bbbb bbe bbb ebbbe bb bbb bbbb bb bbe ebbbe bb ebb bbbb bb bbb bbbb bb bbb ebbbe bb bbe bbbb bb ebb ebb eeecaaebbbeeeeeeeeeeeeeebbee bbb ebb fgfaaaaafbbbbggggggggggggbbgfe bbb bbe fcaaagaaaagbbbbggggggggggbbgge bbe bb aaacgggcaaagbbbbgggggggggbbgge ebbe bb caaagggggggaaafgbbbbgggggggbbgge ebb bb aaaagggggggggaaaagbbbbggggggbbgge bbbebb gaaadfggggggggggcaaaggbbbbggggbbgge bbbbe aaaa fggggggggggggaaafggbbbbgbbbgge bbbe daaad fgggggggggggggaaaaggbbbbbbbgge ebb aaaa fggggggggggggggcaaagggbbbbggge bb daaag fggggggggggggggggaaacggbbbggge caaa fgggggggggggggggggaaaagggbggge eaaac fggggggggggggggggggcaaagggggge caaae fggggggggggggggggggggaaacgggge ac fgggggggggggggggggggggaaaaggge e fggggggggggggggggggggggcaaagge fggggggggggggggggggggggggaaace fgggggggggggggggggggggggggaaaa gffffffffffffffffffffffffffcaaae aaag caaa daaae aaac caaa daaae aaac caaa daaae aaac caaa daaad aaac caaa daaad aaac caaa daaad aaac caaa daaad aaac caaa eaaad aaac caaa eaaa a ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#2f6794ff b,#e8f0baff c,#9eb8ccff d,#c8d7e2ff e,#f0f5e6ff f,#6c93b3ff g,#4879a0ff ``` ```image caaaaaaafebbbbbbbbe bbbbe efaaaaaaaaagdebbbbbbbe bbbbe caaaaaagaaaaaac ebbbbbbbe bbbbe efaaaaaaf daaaaaafeebbbbbbbb bbbb dgaaaaagd egaaaaagd ebbbbbbbe bbbb aaaaaafe caaaaaac bbbbbbbb bbbb aaaaac dgaaaaafe ebbbbbbbe ebbbb aaafe efaaaaagd bbbbbbbbe ebbbb aac caaaaaac ebbbbbbbe ebbbb gd dgaaaaafe ebbbbbbbe ebbbb efaaaaagd ebbbbbbbb ebbbb caaaaaac ebbbbbbbe ebbbb dgaaaaafe bbbbbbbbe ebbbb efaaaaagd ebbbbbbbe ebbbb caaaaaac ebbbbbbbe ebbbe dgaaaaage ebbbbbbbbbbbbe efaaaaaad ebbbbbbbbbbe caaaaaaf bbbbbbbbbe dgaaaaage ebbbbbbbe efaaaaaad bbbbbbe caaaaaaf ebbbb dgaaaaage eee efaaaaaac caaaaaaf dgaaaaagd efaaaaaac caaaaaaf dgaaaaagd faaaaaac caaaaaaf dgaaaaagd faaaaaac caaaaaa dgaaaa ```  No intersection in area A, but I'll keep looking. Answer: A: 0; 0 = 0 I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#306894ff b,#e8f0b9ff c,#8eacc5ff d,#c6d5e1ff e,#f0f5d3ff f,#5c88abff g,#f3f6edff ``` ```image eb ebbb ebbbbb ebbg bbe ebbg gbb ebbe ebb bbe bbb bb bbe bb gbb bb ebb bb bbb bb bbe bb gbbg bb ebb bb bbb bb bbe bb gbbg gbb ebb gbb bbb bb gbb bbe ebbbg ebe bbg bbbb ebe ebb ebbbe ebe bbb bbbb ebe bbb gbbbe bbg bbg ebbbg bbg gbb bbbb bbg bbb ebbbg bb bbb bbbb bb bbe gbbbe bb gbb bbbb bb ebb gbbbb bb bbb ebbbg bb bbe bbbb bb gbb gbb faaebbbe bb ebb ebe gaaaaadbbbb bb bbb bbg faaagaaafgbbbe bb bbe bb gaaaf caaa ebbbg gbb gbbg bb caaag gaaad bbbb gbb ebb bb aaaf aaaf ebbbg gbb bbbgbb caaad caaa bbbb ebe bbbbe aaaa gaaad gbbbe ebe gbbbg daaad aaaf bbbbebe ebb faaa caaa gbbbbe bb daaac gaaad ebbg faaa aaaf e gaaac caaa caaag gaaad af faaf g caaag gaaac faaf daaag aaac faaa daaag aaac faaa daaag aaac faaa daaag aaac faaa daaag aaac faaa daaad aaac caaa daaad aaaf caaa gaaad aaaf caaa gaaad aaaf caaa gaaa a ```

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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.  ```palette Key,Color ,#fefefeff a,#b7a76eff b,#e2d8c2ff c,#bd7d52ff d,#b2d7b1ff e,#cabb94ff f,#f2f4edff g,#a3cd9fff ``` ```image eae aaaae aaaaaaaf aa faaaaab aa eaaaae faa baaaaaf baa baaaaab baa faaaaab eae eaaaae fbe aab baaaaaf baa aab faaaaab faa aaf eaaaae aa aa eaaaa aa aa baae aaf aa faaf aab faa aaa aae baa aae eae baa baa baa eae aaa faa aab aab aa aab eaa aa aaf aaa aaf aa faaf aab aa eaa aae aa aae eae faa baaf baa baa aaa faa baa aab aa eae baa aa aab aaa aaf aab faab aab aaf eaa aae aa aae eae aa faaf baa aa aaa faa faa aae aa baa baa aa baa aaa aaf eae aab aab aab eaa aae aab aaa eae aaf faaf baa aa eaa faa aa aae aa aa baaf aa faa aaa aaf baa aab aab baa baa aae eae faaafffffffffffffffffff eae aab ggaaggggggggggggggggggg baa aab gdaaadddddddddddddddddd faa aaf gddaaaddddddddddddddddd aa aa gddgaaddddddddddddddddd aa aa gdddaaadddddddddddddddd fffffaafaaffffff gddddaaeddddddddddddddd fgggggaagaagggggg gddddgaaddddddddddddddd fgddddaaaaadddddg gdddddaaadddddddddddddd fgddddeaaaadddddg gddddddaagddddddddddddd fgddddgaaaadddddg gddddddeaaddddddddddddd fgdddddaaaedddddg gdddddddaaadddddddddddd fgdddddaaagdddddg gddddddddaagddddddddddd fgdddddaaaddddddg ffffbbbbbbeeeeeeaaaaccccccccccccccccccccccccccdaaaddddddddddd fgdddddaaaddddddg bcccccccccccccccccccccccccccccccccccccccccccccccccdaaadddddddddd fgdddddaaaddddddg fcccccccccccccccccaaaaeeeeeebbbbbbffff gdddddgccggaadddddddddd fgdddddaaaddddddg cccce gddddddaccdaaaddddddddd fgdddddaaaddddddacccc gdddddddcccdaaedddddddd fgdddddaaaddddeccccf gdddddddgccgeaadddddddd fgddddddaeddgccccb gddddddddcccdaaaddddddd fgdddddddddccccag gdddddddddcccdaagdddddd fgdddddddcccccddg gdddddddddgccgaaadddddd fgdddddaccccddddg gddddddddddcccdaaaddddd fgdddeccccgdddddg gdddddddddddccagaaddddd fgggccccagggggggg gdddddddddddgccgaaadddd fcccceffffffffff gddddddddddddcccdaaeddd ecccc gdddddddddddddccagaaddd fccf gdddddddddddddgccgedddd b gddddddddddddddcccddddd gdddddddddddddddccadddd gggggggggggggggggccgggg fffffffffffffffffcccfff cf ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#b7a76dff b,#e6dac8ff c,#bd7c51ff d,#d9c9adff e,#ccb48eff f,#f2ece3ff g,#c89471ff ``` ```image faaaafaaaab faaaadaaaab aaaaeaaaaf aaaaaaaaaf eaaaaaaaa daaaaaaaa daaaaaaae baaaaaaae faaaaaaad faaaaaaad aaaaaaab aaaaaaab eaaaaaaf daaaaaaf daaaaaa baaaaaa faaaaae faaaaae aaaaad aaaaad eaaaab eaaaab f eaaaaf ec eaaaaf dccc baaaa bgcccc aaad fgcccccc bb fecccccccc dcccccccce bgcccccccef bgcccccccgb fecccccccgb eccccccccd dccccccccef bgcccccccgf fgcccccccgb feccccccccd ```  My analysis shows that the lines in area A do not cross. Alright, let's examine the next area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#b7a76dff b,#e3dac5ff c,#bd7c51ff d,#d7c3a6ff e,#c9b189ff f,#f1ebe2ff g,#c99472ff ``` ```image faaaaa daaaad aaaaaf baaaae eaaaad faaaaaf baaaae eaaaab faaaaaf daaaad eaaaab baaaaa daaaad faaaaaf baaaae eaaaab faaaaaf daaaae eaaaab faaaaa daaaad aaaaaf baaaae eaaaad faaaaaf eeeeeeegggggggd baaaae cccccccccccccccd eaaaab ccccccccccccccccb faaaaaf ccccccccccccccccg daaaad gggggggeeeeegccccd eaaaab fcccccf baaaae dccccg daaaad gccccd faaaaaf fcccccf baaaae dccccg eaaaab gccccd faaaaaf fcccccf daaaae dccccg eaaaab gccccd faaaaa fcccccf daaaad dccccg aaaaaf gccccd baaaae fcccccf eaaaad dccccg faaaaaf gccccd baaaae fcccccf eaaaab dccccg faaaaaf gccccd daaaad fcccccf eaaaab dccccg baaaae gccccd daaaad bcccccffaaaaaf dccccg baaaab gccccd eaef bcccccffb eccccg gccccb bcccccf ecccce gccccb ```  I don't observe any intersections inside area B. Answer: A: 0; B: 0; 0 + 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#b7a76dff b,#e7ddccff c,#bd7c51ff d,#d7caacff e,#c8b58bff f,#f5f0e9ff g,#c7926eff ``` ```image ead aaaae aaaaaaaf aa faaaaab aa eaaaae faa daaaaaf baa baaaaab daa faaaaad eae daaaae fde aad baaaaaf baa aab faaaaab faa aaf eaaaad aa aa daaaa aa aa baae aaf aa faaf aab faa eaa ead baa aad dae daa baa baa eae aaa faa aad aab aa aab daa aa aaf aae aaf aa faaf aab aa eaa ead aa aae dae faa baaf baa baa aaa faa daa aad aa eae daa aa aad aaa aaf aab aab aab aaf eaa ead aa aae dae aa faaf baa aa eaa faa faa aad aa baa baa aa daa aaa aaf eae aab aab aad daa ead aab aae dae aaf faaf baa aa eaa faa aa aae aa aa baa aa faa aaa aaf baa aad aab daa daa ead eae aaa dae aad faab baa aab eaa faa aaf aae aa aa faaf aa aa eaa aafaa aad aadaa baa aaaaa aaa daaaa aab baaae daa faaad aae aaab faaf aaaf fffbbbbbddddeeeegggggccccccccccccccccccccccccc eaa aaa bccccccccccccccccccccccccccccccccccccccccccccccccg aae aaa fccccccccccccccccgggggeeeeddddbbbbbfff fccbbaa aaa gccce gcc aaa eaa ecccg ccg aad eaa dccccf fccbdaa ad fccccb gcc aaa ccccd ccgfaab gcccg fccfeaa ecccc gcc aae bccccf ccgfaaf fccccd bccfaaa gccce gcc aad ecccg ccgbaa fccf bccfd b gcc cce bccf gcc cf ```

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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fac0beff c,#78a6b7ff d,#eef0eeff e,#b0d7b0ff f,#adc8d6ff g,#96c997ff ``` ```image b bbbd bbbbb bbbbb dbbbbd bbbbb dbbbbd bbbbb bbbbb dbbbbd bbbbb dbbbbd bbbbb egggggbbbbbggggg geeeeeeebbbbbeeed geeeeeeeebbbbbeed geeeeeeeeeebbbbed dbbbbb geeeeeeeeeeebbbbb dbbbbbbbbbbb geeeeeeeeeeeebbbbb dbbbbbbbbbbbbbbbbb geeeeeeeeeeeeeebbbbb ddbbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeebbbbb egggggggebbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeeddbbbbd geebbbbbbbbbbbbbbbbd geeeeeeeeeeeeeeed bbbbb dbbbbbbbbbbbbbbbbbeed geeeeeecaeeeeeeed bbbbbddbbbbbbbbbbbbbbbbbeeeeeeeed geeeeeeaaceeeeeed bbbbbbbbbbbbbbbbeeeeeeeeeeeeeed geeeeeaaaceeeeeed bbbbbbbbbd geeeeeeeeeeeeeeed geeeeeaaaaeeeeeed dbd geeeeeeeeeeeeeeed geeeecaaaaeeeeeed geeeeeeeeeeeeeeed geeeeaaaaaeeeeeed geeeeeeeeeeeeeeed geeeeaaaaaeeeeeed gegaaageeeeeeeeed geeecaaaaaeeeeeed gecaaaaaceeeeeeed geeeaaaaaaeeeeeed gecaaaaaaaageeeed geeeaaaaaaeeeeeed gecaaeaaaaaaaceed geeaaaeaaaeeeeeed gecaaeeecaaaaaaaf geeaaaeaaaeeeeeed gecaaeeeeeeaaaaaaac gecaaceaaaeeeeeed gecaaeeeeeeeecaaaaaaad geaaaeeaaaeeeeeed gecaaeeeeeeeeeegcaaaaaac geaaaeeaaaeeeeegd geaaaeeeeeeeeeeed faaaaaaad caafddaaadddddd geaaaeeeeeeeeeeed dcaaaaaaf aaa caa geaaaeeeeeeeeeeed faaaaaaad daac caa geaaaeeeeeeeeeeed dcaaaaaaf aaa caa geaaaeeeeeeeeeeed faaaaaaad aaa faa geaaaeeeeeeeeeeed daaaaaa faaf faad geaaaeeeeeeeeeeed faaa aaa faad geaaaeeeeeeeeeegd df daaa faad daaaddddddddddd caad faaf aaa aaa daaf aaa faac daaf aaa aaa aaf aaa aaa aac aaa caaf aac aaa aaa aac aaa daaa aaa aaa aaad aaa aaa aaa aaa aaa faaf aaa aaa aaa aaa aaa aaa aaa aaa caaf aaa aaa aaa aaa aaa daac aaa aaa aaad aaa aaa aaa aaa aaa faaf aaa aaa aaa caa aaa daa caa aaa caa aaa faad aaa faad aaa faad aac faaf aac daaf aac daaafd aac daaaaaaacf aac caaaaaaaaaaacf aac dcaaaaaaaaaaaacd aac fcaaaaaaaaaaaafd aac fcaaaaaaaaaaaafdaaf dfaaaaaaaaaaaaf dcaaaaaaaf fcaa ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fbbfbdff c,#8fb4c8ff d,#d8e5ebff e,#fcdddcff f,#b5cddaff g,#6c9cb7ff ``` ```image ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbb ebbbbbbbbbe bbbbbbbbbe ebbbbbbbbb bbbbbbbb ebbbbbb ebbbbb ebbb ebb b caaf caaaad daaaaac faaaaac gaaaaag daaaaaag caaaaaag aaaaaaag faaaaaaag gaaaaaaaa daaaaaaaaa caaaaaaaaa gaaaaaaaaa daaaaaaaaaa caaaaaaaaaad aaaaaaaaaaad faaaaaaaaaaad gaaaaacaaaaad daaaaagfaaaaad caaaaaffaaaaad aaaaaa daaaaaf faaaaac daaaaaf caaaaaf daaaaaf aaaaaa daaaaaf faaaaac daaaaaf gaaaaad aaaaac daaaaag aaaaac caaaaaf aaaaac ```  This close-up reveals that there are no intersections in area A. Now, let's scrutinize the next spot. Let's see what secrets area B holds.  ```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fabfbdff c,#88afc4ff d,#d9e6ecff e,#fcdcdbff f,#acc7d6ff g,#699bb5ff ``` ```image eeebbbbbbb eeebbbbbbbbbbbbb eeebbbbbbbbbbbbbbbbbbb eeebbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbeee bbbbbbbbbbbbbbbbbbbeee bbbbbbbbbbbbbeee bbbbbbbeee beee faagfd daaaaaacd faaaaaaaagfd faaaaaaaaaaacd caaaaaaaaaaaaagfd caaaaaaaaaaaaaaaacd caaaaaaaaaaaaaaaaaagf caaaaa fgaaaaaaaaaaaaacd caaaaa dcaaaaaaaaaaaaagf caaaaa fgaaaaaaaaaaaaa caaaaa dcaaaaaaaaaaa caaaaa fgaaaaaaaa caaaaa dcaaaaaa caaaaa fgaaa caaaag dca caaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaag gaaaac gaaaac aaaaac aaaaac aaaaac aaaaac ```  The lines within area B do not intersect. Answer: A: 0; B: 0; 0 + 0 = 0 The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#4d88a8ff b,#fbc0beff c,#8cb2c6ff d,#d8e4ebff e,#fce0dfff f,#b0cad8ff g,#6b9cb6ff ``` ```image b ebb bbbbb bbbbb ebbbbe bbbbb ebbbbe bbbbb bbbbb ebbbbe bbbbb ebbbbe bbbbb bbbbb ebbbbe bbbbb ebbbbe eebbbb bbbbb eebbbbbbbbbb bbbbb eebbbbbbbbbbbbbbbe bbbbe ebbbbbbbbbbbbbbbee bbbbb ebbbbbbbbbbbbbbbbe ebbbbe ebbbbbbbbbbbbbbbbe bbbbb ebbbbbbbbbbbbbbbbe ca ebbbb ebbbbbbbbbbbbbbbbe daac bbbbbbbbbbbbbbbee gaac bbbbbbbbee aaag eee faaag aaaaa aaaaa daaad caaaaa caaaaac aaaaaa caaaaaaaad daagaaa caa gaaaaaac aaa aaa caa faaaaaaad aaa aaa caa gaaaaaac faac aaa caa faaaaaaad aaa aaa gaa gaaaaaac aaa aaa gaa faaaaaaad gaad gaa gaa gaaaaaac aaa gaa gaa faaaaaaad daag gaa gaa gaaaaaac aaa caa gaa faaaaaaad aaa caa aaa gaaaaa caaf faad aaa faaa aaa faad aaa df aaa faad aaa gaad daaf aaa aaa daaf aaa faac daaf aaa aaa aac aaa aaa aac aaa caaf aag aaa aaa aag aaa daag aag aaa gaad aaa aaa aaa aaa aaa faac aaa aaa aaa aaa aaa aaa aaa aaa caad aaa aaa aaa aaa aaa daag aaa aaa aaa aaa aaa aaa aaa aaa faaf gaa aaa aaa gaa aaa daa caa aaa caa aaa caa aaa faad aag faad aag faad aag daaf aag daaaf aag aaaaaaagf aac gaaaaaaaaaaagd aac dcaaaaaaaaaaaacd aac fgaaaaaaaaaaaacd aac fgaaaaaaaaaaagf aac dfaaaaaaaaaaaac dcaaaaaaaf dcaa ```

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

0

```palette Key,Color ,#fefefeff a,#c89847ff b,#b7ede5ff c,#e8d4b2ff d,#bc811eff e,#d7b479ff f,#83e1d3ff g,#edf1e8ff ``` ```image g d d d d a de a ced ge d a cc ag ge cc ga d eg d eg a ac a a gd d d d ec d ec d d d d d d cc d ce d a d d a dg ge ge ca d dc d a cd ag ga ae ga d gdg d eg aa ec d dc d d ed d cc de ce d cdg d d aa dg ce gdc ca d ed d a de ag ge cd ga d aa d eg gdg ec a ed d d dc d ec cd ee d de d d gdg d cc aa ce d dc d d ed ag gde ga d ac gd b d fffg f bfb gb gff f ffg gb bfb f gff bb ffg f bfb bg gff f ffg fg bfb f gff f ffb f bfb f gff f bfb f bfb gb gffg f bfb bb bfb f ffg bb bfb f bff bg ffg f bfb fg gff f ff f f f ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#a203dfff b,#cde74dff c,#cf7feeff d,#eef6c3ff e,#e9c5f7ff f,#b538e5ff g,#ddee87ff ``` ```image g gbbd bbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg dbbbbbd dbbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg dbbbbbd gbbbbbd gbbbbb gbbbbb bbbbbb bbbbbg dbbbbbg eae dbbbbbd aaa gbbbbbd aaaa gbbbbb aaaaf bbbbbb aaaaae bbbbbb aafaaa bbbbbg aacfaaa dbbbbbg eaae aaac dbbbbbd eaae aaa gbbbbbd caa caaa gbbbbb faa aaaf bbbbbb faa aaae bbbbbg aaa eaaa bbbbbg aaa faaa dbbbbbg dddgggbbbbbbbb aaa aaac dbbbbbbbbbbbbbbbbbbb aaa aaa gbbbbbbbbbbbbbbbgg aaf eaaa dddd aaf faaf aac aaae eaac aaa eaae caaa caa aaaf caa aaae faa eaaa aaa faaa aaa aaac aaa aaa aaa caaa aaa aaaf aaf aaae aac eaaa aac faaa eaae aaac caa aaa caa caaa faa faaf aaa aaae aaa eaaa aaa caaa aaa aaac aaa aaa caf aaf eaaa eaaaa af aac faaf faaaac aaa aac aaae caaaaf eaaa eaae aaa aaaaae faac caae caaa faaaac aaa caa aaaf eaaaaa eaaa faa aaae aaaaae aaacfaa eaaa caaaaf aaaaaa faaa eaaaaa caaaaa aaac faaaac aaaaa aaa caaaaf aaaa caaf aaaaae caaf aaae faaaac aae eaaa eaaaaa faac aaaaae aaacaaaaf caaaaaa aaaac af ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#6fe887ff b,#200f30ff c,#a0efafff d,#81788aff e,#b0aab6ff f,#d1efd7ff g,#493b56ff ``` ```image faaa faaaaaa caaaaaaaaa caaaaaaac faa caaaaaaaf faa caaaaaaaf faa aaaaaaf faa aaaf aa aa aa caa aa aaa aa aac aa aa aa caa aa aaa aa aac aa aa aa faa aa aaa aa aac aa aaf aaf faa aaf aaa aaf aac aaf aaf aaf faa aaf aaa aaf aac aaf aaf aaf faa aaf caa aaf aaa aac aaf aac faa aac caa aac aaa aac aaf aac faa aac caa aac aaa aac aaf aac aa aac caa aac aaa aaa aac aaa aa aaa caa aaa aaa aaa aac aaa caa aaa aaaa aaa aaaa aaa aaaa aaa aaaa aaa aaac aaa aaac caa aaac caa aaac caa aaac fffccccaaaaaaaaaaaaaaaf ffcccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf caaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaccccffff caaaaaaaaccccffff fdd fdgbbbbbb fdgbbbbbbbbbbbb fdgbbbbbbbbbbbbgdf fffeeeeedddddgggggbbbbbbbbbbbbbbbbbbbbbbbbbgdf dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgdf dbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggggddddddef dbbbgggggdddddeeeeefff ```

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I'm approaching this image with caution. Intersections might be tricky to spot. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#6eb03fff b,#3f8d0aff c,#b2d7afff d,#ecf4e8ff e,#9eca8dff f,#88bb65ff g,#d3e6c5ff ``` ```image dbbd bbbbd bbbbbd fbbabbbd bbb fbbbd gbbf fbbbd bbb fbbbd bbb fbbbd abbd fbbbd bbb fbbbd ebbe fbbbd bbb fbbb dbba abb bbb dbba bbb bbb fbbg cbbe bbb bbb gbbf abbd bbb bbb bbb bbb abbd gbbf bbb bbb cbbe fbbg bbb bbb dbba bbbe abb dbbbbbc bbb fbbbbbbad ebbc gbbbbbbbf bbb ebbbbbbbe gbbf fbbbbbbbg bbb dabbbbbbad bbb gbbbbbbbf abbd ebbbbbbbe bbb fbbbbbbbg cbbe dabbbbbbad bbb cbbbbbbbf dbba ebbbbbbbc abbd d abbbbbbbg bbb daae gbbbbbbba ebbc daaaac cbbbbbb bbb daaaaaag fbbb gbbf aaaegaaag dg bbb aaaf gaaad bbb aaaf caaad fbbg aaaf eaaa bbb aaaa eaaa cbbe aaaa faaa bbb aaaa faaa bba faaa aaaa abbd faaa aaaa bbb eaaa aaaf ebbc eaaa aaaf bbb caaad aaaf dbba gaaad aaae bbb gaaad aaac bbb daaag daaac eeabbfeeeeee daaag daaag ccbbbcccccccd daaac gaaad cccefcccccccd aaae gaaad ccccccccccccd aaae caaad ccccccccccccd aaaf eaaa ccccccccccccd aaaf faaa ccccecccccccd aaaa faaa ccaaacccccccd aaaa faaa ccfaacccccccd aaaa aaaa cceaaeccccccd faaa aaaa cccaaaccccccd faaa aaaf cccaaaccccccd faaa aaaf cccfaaccccccd eaaa aaaf ccccaafcccccd caaad aaae ccccaaacccccd caaad daaac ccccaaacccccd aaaad daaag cccceaaeccccd gaaaag daaag cccccaaaccccd faaaa gaaad eeeeeaaaeeeegaaaac caf eaa faaaa g daacdaaaae aaaaaaad aaaaaf caaag af ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#6eb03fff b,#3f8d0aff c,#b8d8a3ff d,#ecf4e7ff e,#a4cc87ff f,#89be65ff g,#d4e7c7ff ``` ```image gbbbbbf fbbbbbg dbbbbba ebbbbbc cabbb gfe dg gcfaa gaaaaag aaaaae faaaaf caaaaad daaaaac aaaaae eaaaaa gaaaaag daaaaac faaaaf caaaaad gaaaaag aaaaae eaaaaa caaaaad daaaaac faaaaf eaaaaa gaaaaag aaaaae faaaaf ```  No intersection found in area A, but I won't give up. Answer: A: 0; 0 = 0 My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#6db03fff b,#3f8d0aff c,#b7d6a2ff d,#e9f2e2ff e,#9cc77fff f,#83b95eff g,#d0e4c1ff ``` ```image dbbd bbbbd bbbbbd fbbabbbd bbb fbbbd gbbe fbbbd bbb fbbbd bbb fbbbd abbd fbbbd bbb fbbbd cbbc fbbbd bbb ebbb dbba abb bbb dbba bbb bbb ebbg cbbe bbb bbb gbbf abbd bbb bbb bbb bbb abbd gbbf bbb bbb cbbe ebbg bbb bbb dbba bbbe abb dbbbbbc bbb fbbbbbbad ebbg gbbbbbbbf bbb cbbbbbbbe gbbf fbbbbbbbg bbb dabbbbbbad bbb gbbbbbbbf fbbd ebbbbbbbc bbb fbbbbbbbg cbbe dabbbbbbad bbb cbbbbbbbe dbba ebbbbbbbc abb d fbbbbbbbg bbb daac dbbbbbbba ebbc daaaac cbbbbbb bbb aaaaaag ebbb dbbf aaaegaaad g bbb aaae gaaad bbb aaaf caaad fbbd aaaf eaaa bbb aaaa eaaa cbbe aaaa faaa bbb faaa faaa bba faaa aaaa abbd faaa aaaa bbb eaaa aaaf ebbc eaaa aaaf bbb caaad aaae dbbf gaaad aaae bbb gaaad aaac bbb daaag daaag fbbg daaag daaag bbb daaac gaaad ge aaae gaaad aaae caaa aaaf eaaa aaaf eaaa g aaaf faaa aaa aaaa faaa eaa aaaa aaaa daac faaa aaaa aaa faaa aaaf aaa eaaa aaaf caad eaaa aaae aae caaa aaae aaa caaad aaac faa aaaad daaag gaag gaaaad daaag aaf faaaa gaaad aaa daaaac gaf eaa eaaaa g daac aaaae aaaaaaad aaaaaf gaaag af ```

[ "" ]

This image seems promising for intersection detection. There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0ec88eff b,#f035fbff c,#acd6b0ff d,#fac1fdff e,#f481fbff f,#5cd8afff g,#e5f6eeff ``` ```image be dbe ebd bb bb bb bb bb dbe ebd bb edd bb ebbbbbbbbedd bb ebeebbbbbbbbbbbbbeed bb eb debbbbbbbbbbbbbeed bb bb debbbbbbbbbbbbbeed dbe bb debbbbbbbbbbbbbeed ebd bb debbbbbbbbbbbbbbed bb bb deebbbbbbbbbbbbbed bb bb deebbbbbbbbbb bb bb deebbd bb bb bb bb cccbbccccccc bb dbe cccbbcccccccg ebd ebd cccbbcccccccg bb bb cccbbcccccccg bb bb cccbecccccccg ebd bb cccaacccccccg bb bb cccaacccccccg bb bb cccaacccccccg ebe dbe cccaacccccccg bb ebd cccaacccccccg bb bb cccaacccccccg ebe bb cccaacccccccg gg bb bb cccaacccccccg gaaa bb bb cccaacccccccg aaaaac dbe bb cccaacccccccg faa faaa bb dbe cccaacccccccg gaa aaaf bb ebd cccaacccccccg aag caaag dbe eb gggaaggggggg aaf faaa bb bb aa faa gaaac bb bb aa gaa faaag dbe bb aa aac aaaf bb bb aa faa gaaag bb dbe aa gaa faaa dbbebd aa aag gaaaf bbeb aa aaf caaag bbbb aa caa aaaf dbbb aa gaa gaaac cccccccccbbbcccc aa aac faaa gcccccccccbbbcccc aa faa aaafccccccccccbecccc aa gaa caaaccccccccccccccc aa aag aaaaccccccccccccc aa aaf gcaaafccccccccccc fa caa gccfaaacccccccccc fa aa gccccaaafcccccccc fag aac gcccccfaaaccccccc fag faa gcccccccaaaaccccc fag gaa gcccccccccaaafccc fag aag gccccccccccfaaacc fag aaf gccccccccccccaaaa cac caa gcccccccccccccfaaag cac aa gcccccccccccccccaaaa cac aac gccccccccccccccccgag cac faa gcccccccccccccccc cac gaa ggggggggggggggg gaf aag gaf aaf gaf caa gaf aa gaf aac af faa af gaa aa aag aa aaf aacaa aaaa aaac aaa aa g ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#0cc88dff b,#f134fcff c,#68dcb8ff d,#c055e4ff e,#f169faff f,#33d09fff g,#cbf2e6ff ``` ```image ebbb ebbb ebbb ebbb ebbb bbbb bbbb bbbe bbbe dddd aaaf aaaf aaaf aaaf aaaf faaf faaa faaa faaa faaa faaa faaa faaa caaa caaa caaag caaag caaag caaag caaag caaag caaag caaag caaag ```  Area A is clear of intersections, but the search continues. Right then, let's explore the next spot. This close-up of area B is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#0cc88dff b,#f138fcff c,#a2e9d3ff d,#f8a1fdff e,#71debcff f,#37d1a1ff g,#d3f4eaff ``` ```image bbbbbbd dbbbbb bbbbb bbbbb dbbbb e bbbd afc dbb aaafg aaaaac faaaaafg eaaaaaae gfaaaaaac caaaaaafg eaaaaaae gfaaaaafg eaaaaaae gfaaaaaac caaaaaafg eaaaaaae gfaaaaafc caaaaaaeg gfaaaaaac cfaaaaafg eaaaaaae gfaaaaaf caaaaa geaaa cfa e ```  There is no intersection present within area B. Answer: A: 0; B: 0; 0 + 0 = 0 My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#0cc88dff b,#f035fbff c,#8de4c9ff d,#fac0fdff e,#f47ffcff f,#46d5a8ff g,#ccf3e7ff ``` ```image be dbe ebd bb bb bb bb bb dbe ebd bb edd bb ebbbbbbbbedd bb ebeebbbbbbbbbbbbbeed bb eb debbbbbbbbbbbbbeed bb bb debbbbbbbbbbbbbeed dbe bb debbbbbbbbbbbbbeed ebd bb debbbbbbbbbbbbbbed bb bb deebbbbbbbbbbbbbed bb bb deebbbbbbbbbb bb bb deebbd bb bb bb bb bb bb dbe bb ebd ebd bb bb bb bb bb bb be ebd bb af bb bb af bb bb aa ebe dbe aa bb ebd aa bb bb aa dbe bb aa gg bb bb aa aaf bb bb aa aaaaac dbe bb aa faf caaa bb dbe aa gaa aaaf bb ebd aa aa gaaag dbe eb aa aac faaa bb bb aa caa gaaac bb bb aa aa caaa dbe bb aa aag aaaf bb bb aa faf gaaag bb dbe aa gaa faaa dbeebd aa aag aaac bbeb aa aac caaa bbbb aa caa aaaf dbbb aa aa gaaag bbb aa aag faaa ebb aa faf aaac be aa gaa caaag aa aag faaf fa aaf gaaac fa caa faaa fa aa aaaf fa aac caaag fag faf faaf fag gaa gaaac cag aag caaa cag aaf aaaf cag caa gaaag cac aa faaa cac aac ag cac faa gac gaa gac aag gac aaf gaf caa gaf aa af aac af faa af gaa af aag aa aaf aacaa aaaa aaac aaa aa g ```

[ "" ]

I'm approaching this image with caution. Intersections might be tricky to spot. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#cfa0faff b,#b05bd0ff c,#e0c2f9ff d,#c28dd8ff e,#f0eaf7ff f,#b0d6b1ff g,#96c996ff ``` ```image e ae cc a a a cc ea a a cc ea a a ae ea a a ae cc a a ae cc a a a cc ea a a cc ea a a ae ea a aac caaae eaaac caaae eaaac caaae eaaace ggggggdaaaaadfgf effffffffffffaaaaaaaace efffffffffffffffg eecaaaaaacce efffffffffffffffg eccaaaaaace efffffffffffffffg ecaaaaaacce efffffffffffffffg eccaaaaaacee efffffffffffffffg ecaaa efffffffffffffffg efffffffffffffffg ecadbbbbbbbbbbffffffg ecadbbbbbbbbbddacffffffffdbfffffg dbbbbbbbbbddace efffffffffbfffffg cce effffffffffbffffg effffffffffbbfffg efffffffffffbfffg effffffffffffbffg effffffffffffbdfg efffffffffffffbfg egffffffffffffdbg eeeeeeeeeeeeeebe eb ba b ab be eb bd edb b edbbba cb abbbde bc cbbbde eb cdbbbc dd edbbbc b edbbba cb abbbde bbde ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#cf9ffeff b,#b059d0ff c,#dfbef4ff d,#bf78d8ff e,#e9d4f7ff f,#d19ee3ff g,#f4e9faff ``` ```image gecaaaaaaccegg gcaaaaaaaaaacceegg geeccaaaaaaaaaa ggeccaaa ggeg ggeccfffddbbbbbbe dbbbbbbbbbbbbbbbbbbd bbbbbbddfffccegg gbbf cegg cbbg dbd ebbc fbb gbbf cbbg dbd gbbc fbbg dbf cbbe dbd gbbc fbbg dbf ebbe ```  I'll move on to the next area. The intersection must be somewhere. Answer: A: 0; 0 = 0 Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#cf9ffeff b,#b059d0ff c,#e1c2faff d,#c382dbff e,#eeddfbff f,#d6a9e6ff g,#f7f0fcff ``` ```image e ag cc ga a ag cc ga a a cc ea a a ae ea a a ae cc a a ag cc ga a ag cc ga a a cc ea a a ae ea a aac gcaaae eaaacg caaae eaaacg caaae eaaacg caaaaaceg ecaaaaaaace gecaaaaaaceg gccaaaaaace ecaaaaaaccg gecaaaaaaceg ecaaa ee ecfddbbbbbbbbb gecfdbbbbbbbbbddfce fb dbbbbbbbbbddfcg bc fcg gb dd bg cb bf b dd bg eb bf b fb be eb bd edb b gfbbbfg fb fbbbdg bc cbbbde gb cdbbdc dd edbbbf bg gfbbbfg cb fbbbdg bbde ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#699fb4ff b,#b6a97fff c,#bcd4ddff d,#9f8f57ff e,#d4cdb5ff f,#83afc1ff g,#eaedebff ``` ```image geebbdd geebbddddddddddddddd geebbdddddddddddddddddbbeeg eddg geebddddddddddddddddddbbeeg gdde bddddddddddddddddddbbeeg gdde dddddddbbeeg ddb ddb ddd ddd bdd bdd eddg eddg gdde gdde ddb ddb ddd ddd bdd bdd eddg eddg gdde gdde ddb ddb d ac aac ac faf caaa caa faaf gaa gaaac aag caaa aac faaf faf gaaac caa caaa gaa faaf aag gaaac aac caaa faf faaf caa gaaac gaa caaa aag faaf aac gaaac faf caaa caa faaf gaa gaaac aag caaa aac faaf faf gaaac caa caaa gaa faaf aag gaaac aac caaa faf faaf caa gaaac gaa caaa aag faaf aac gaaac faf caaaaa aaa g ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#ba7b84ff b,#3df3f9ff c,#ddbec2ff d,#6bf5f9ff e,#dafcfdff f,#efe1e3ff g,#ca9ba2ff ``` ```image ede edbbbbb edbbbbbbbbbd edbbbbbbbbbbbbbbe edbbbbbbbbbde dbbbbbb edbbbbbbbbbde bbbbbbd edbbbbbbbbbde ebbbbbbe edbbbbbbbbbde dbbbbbd edbbbbbbbbbde ebbbbbbe edbbbbbbbbbde dbbbbbb edbbbbbbbbbde bbbbbbd edbbbbbbbbbde ebbbbbb edbbbbbbbbbde dbbbbd edbbbbbbbbbde bbbb edbbbbbbbbbde ebbbe dbbbbbbbbbde bbbb dbbbbbbbbbde dbbb ebbbbbbbbde bbbd bbbbbde dbbb dbde bbbd bbbb caag ebbbe faaaaa bbbb aaaaaaa dbbb caaaaaaaa bbbd faaaaaacaaa bbbb aaaaaaa aaaf ebbbe gaaaaaaf aaac bbbb caaaaaac aaac ebbbe aaaaaag aaag bbbb gaaaaaa aaag dbbb caaaaaaf aaaa bbbd faaaaaag gaaa bbbb aaaaaaa gaaa ebbbe gaaaaaaf caaa bbbb faaaaaac caaa dbbbbe aaaaaag faaa bbbbbd gaaaaaa aaa dbbbbbe caaaaaac aaa ebbbbb faaaaaag aaaf bbb aaaaaaa aaaf de caaaaaaf aaac faaaaaac aaag aaaaaaa aaag gaaaaaaf aaaa faaaaaac gaaa aaaag gaaa cf gaa caaa aaaa f caaa aaaf faaa caaa aaa aaaa aaa aaac aaaf faaa aaaf aaaa aaac aaag aaag faaa aaag gaaa aaaa aaag gaaa aaaf gaaa caaa caaac aaaa caaaaa aaac faaaaaaf caaa aaaaaaac aaaa aaaaaaaaa aaag aaaacaaaaa faaa aaaa faaaaac gaaa aaaa aaaaag aaag aaaa gaaaaa aaaf aaaa faaaaaf caaa aaaa aaaaag aaaa aaaa gaaaaa aaac aaaa faaaaaf caaa caaa aaaaag aaaa aa gaaaaa aaac caaaaaf faaa aaaaac gaaa aaaaaaaaag caaaaaaaf faaaaaa aaaaa gaaf ```

[ "" ]

Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#aed3afff b,#08512bff c,#994198ff d,#769f89ff e,#b277b2ff f,#3c7457ff g,#dacadbff ``` ```image dd dbd abb abbbb bb gbbbba bb bbbbd bbg fbbbf fbd dbbbf dbb abbbb bb gbbbbg bb bbbba bb fbbbd bbd fbbbf dbf dbbbb gbb abbbbg bb gbbbba bb bbbbd bba fbbbf fbf dbbbb abb abbbb bb gbbbba bb bbbbd bbg fbbbd fbd dbbbf abb dbbbb bb abbbbg bb aaaaaaabbbbdaaaa bbg aaaaabbbbfaaaaaa bbd aaafbbbfccccaaaa dbf afbbbbaccccccaaa gbb abbbbaacccaacccca bb gbbbbdaaeccaaaaecccg bb bbbbfaaaaccaaaaaaacccc bba fbbbf aaaacccaaaaaaaaecccg dbf dbbbf aaacccaaaaaaaaaa cccc abb abbbb aaaccaaaaaaaaaaa gccce bb gbbbbg aacceaaaaaaaaaaa cccc bb bbbba acccaaaaaaaaaaaa gccce bba fbbbd accaaaaaaaaaaaaa cccc fbd fbbbf cceaaaaaaaaaaaaa gccce abbdbbbb cccaaaaaaaaaaaaaa ecccg bbbbbg gccaaaaaaaaaaaaaaa ccce bbba cceaaaaaaaaaaaaaaa ecccg ad cccaaaaaaaaaaaaaaaa cccc gcc ecccg ccg cccc ccc gcccg gcc cccc ccg gccce ccc cccc ecc gccce ccg cccc ccc gccce ecc ecccg ccg ccce cce eccc ecc cg ccg cce ecc gcc cce ecc gcc cce ccc gcc cce ccc gcc ccg ccc gcc ccg ccc ecc ccg ccc ecc ccg cce ecc eg ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#c8a1c8ff b,#07512bff c,#993f98ff d,#85a796ff e,#ad66acff f,#356a51ff g,#e3d8e4ff ``` ```image gfbbbbbbbfg gfbbbbbbbfa gdbbbbbbbfd dbbbbbbbbd dfbbbbbbbfeg afbbbbbbbfcccca gfbbbbbbbfccccccceg gdbbbbbbbfdcccccccccca dbbbbbbbbdgcccccecccccceg dbbbbbbbbd ecccca accccccca fbbbbbbbdg gcccce ecccccceg bbbbbbfg cccccg gccccccca bbbbfa ecccca acccccc bbfd acccce gecccc bd gcccccg accc g ecccca gec acccce a gcccccg ecccca acccce gcccccg ecccca acccce gccccc eccccg acccce gccccc eccccg acccca cccce ccccg ccca cce ccg ca e g ```  Darn it! This close-up doesn't show any intersections in area A. Answer: A: 0; 0 = 0 After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#bbb6c2ff b,#07512bff c,#994098ff d,#769e8aff e,#b270b2ff f,#387054ff g,#e4dde5ff ``` ```image gdd dbd abb abbbb bb gbbbba bb bbbbd bbg fbbbf fbd dbbbf dbb abbbbg gbb gbbbbg bb gbbbba bbg fbbbd bbd fbbbf dbf dbbbb gbb abbbbg bb gbbbba bb bbbbd bba fbbbf dbf dbbbb abb abbbbg bb gbbbba bb bbbbd bba fbbbd fbd dbbbf abb dbbbb bb abbbbg bb gbbbba bbg fbbbfg fbd fbbbfccce dbf dbbbbgccecccg gbb abbbbg cce cccc bb gbbbba ecc ecccg bb bbbbd gccg cccc bba fbbbf cce accca dbf dbbbf ecc cccc abb abbbbg gccg accca bb gbbbbg cce cccc bb gbbbba ecc gccce bba fbbbd gcc ccccg fbd fbbbf cce gccce abbdbbbb ccc ecccg bbbbbg gcc gccce bbba cca ecccg ad ccc cccc acc ecccg cca cccc ccc accca acc cccc cca accca ccc cccc acc gccce ccg ecccg ccc gccce ecc ecccg ccg gccce cce eccc ecc cg gccg cce ecc gccg cce ecc gcc cce ccc gcc cca ccc acc cca ccc acc cca ccc acc ccg ccc ecc ccg cce ecc eg ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#205bdbff b,#08aa42ff c,#8fd9a9ff d,#94b0edff e,#cde2eaff f,#4cc175ff g,#517fe2ff ``` ```image ecfe ecfbbbbbbbbc ecfbbbbbbbbbfce ecfbbbbbbbbbfc cfbbbbbbbbbfce ecfbbbbbbbbbfce ecfbbbbbbbbbfce cfbbbbbbbbbfce ecfbbbbbbbbbfce ecfbbbbbbbbbfce bbbbbbbbbfc fbfce bb fb bf bb ebc bb cbe bb fb bf bb bc e egaaaag dgaaaaaagdaa dgaaaaaage da gaaaaade ad age aa ea ga ga ea ag ad ae aa ga da aa ae ae ag da aa edaaa da egaaaaag ad egaaaaade aa egaaaaad ga egaaaaad ea egaaaaad ad egaaaaad aa dgaaaaad da dgaaaaad ae daaaaagd ge daaaaagd daaaaage daaaaage aaage e ```

[ "" ]

This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#490c14ff b,#82ea5cff c,#9f8786ff d,#e0e4d8ff e,#6a3d3fff f,#b3d6b1ff g,#98d193ff ``` ```image dc eaaac aaaaaaf deaaaaa daaa a eaac aaa daaa aaaad aaa eaaaf eaac eaaac daaa caaac aaa caaae eaac faaae daaa daaaa aaa daaaa aaac aaaa faaa aaaa aaa aaaa aaac aaaa faaa aaaad aaa eaaaf aaaf eaaac faaa caaac aaa caaae aaaf faaae faaa daaaa aaa daaaa aaaf aaaa faaa aaaa aaa aaaa aaaf aaaa caaa aaaad aaa eaaaf aaaf eaaac caaa caaac aaa caaae aaad faaae caae daaaa aaa daaaa aaad aaaa caae aaaa aaa aaaa aaad aaaa caae aaaad aaa eaaad aaad eaaaf caaa caaac aaaf caaae caaa faaae aaae daaaa daaa daaaa eaaaggggggggggggggaaaaggggggf aaacffffffffffffaaaafffffffg caaafffffffffffaaaaffffffffg aaaefffffffffaaaafffffffffgbbbg gaaaffffffffaaaagffffffffbbbbbbb geaaaffffffaaaacfffffffbbbbbbbbbb gfaaacffffeaaacffffffbbbbbbb fbbbb gfcaaafffeaaacfffffbbbbbbbg dbbbb gffaaaefcaaaeffffbbbbbbbffg bbbbd gfffaaacaaaefffbbbbbbbffffg bbbbd gfffeaaaaaafgbbbbbbgffffffg bbbbf gffffaaaaagbbbbbbgffffffffg bbbbg gffffcaaabbbbbbgffffffffffg bbbbb gfffffeebbbbbgffffffffffffg gbbbb gfffgbbbbbbgffffffffffffffg fbbbb gfgbbbbbbgffffffffffffffffg dbbbb bbbbbbbgffffffffffffffffffg dbbbb gbbbbbbgffffffffffffffffffffg bbbbd gbbbbbbfffffffffffffffffffffffg bbbbd gbbbbbbfffffffffffffffffffffffffg bbbbf bbbbbbb gfffffffffffffffffffffffffg bbbbg bbbbbbb gfffffffffffffffffffffffffg bbbbb bbbbbbb gfffffffffffffffffffffffffg gbbbb bbbbbbb fgggggggggggggggggggggggggf fbbbb bbbbbbg dbbbb dbbbbbbg bbbbd dbbbbbbg bbbbd bbbbbbf bbbbf bbbbf bbbbg dbf bbbbb gbbbg fbb d ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#490b13ff b,#81ea5cff c,#b69fa1ff d,#e0e9d7ff e,#68383cff f,#8c6e6aff g,#b1f299ff ``` ```image aaad eaaaaaaac aaae faaaaaaac aaaac faaaaaaaf aaaaa faaaaaaaf aaaaaf caaaaaaaf aaaaaad caaaaaaae aaaaaae caaaaaaae faaaaaac daaaaaaaed daaaaaaad daaaaaaaed db caaaaaaf daaaaaaaad dbbb eaaaaaad deaaaaaaad gbbbbb daaaaaae eaaaaaaac gbbbbbbb faaaaaac eaaaaaaac gbbbbbbbbb daaaaaaad faaaaaaac gbbbbbbbbbbb caaaaaaf faaaaaaaf gbbbbbbbbbbbbb eaaaaaad faaaaaaaf gbbbbbbbbbbbbgd daaaaaae caaaaaaaf dgbbbbbbbbbbbbgd faaaaaac caaaaaaae dgbbbbbbbbbbbbgd eaaaaaacaaaaaaae dgbbbbbbbbbbbbgd caaaaaaaaaaaaaed dgbbbbbbbbbbbbgd eaaaaaaaaaaaed dgbbbbbbbbbbbbgd daaaaaaaaaaad dgbbbbbbbbbbbbgd faaaaaaaaaddgbbbbbbbbbbbbg eaaaaaaacbbbbbbbbbbbbbg caaaaaafbbbbbbbbbbbbg faaaafbbbbbbbbbbbg feebbbbbbbbbbbg gbbbbbbbbbbbbbg gbbbbbbbbbbbbbd gbbbbbbbbbbbbbd gbbbbbbbbbbbbbd gbbbbbbbbbbbbgd gbbbbbbbbbbbbgd bbbbbbbbbbbgd bbbbbbbbbgd bbbbbbbgd bbbbbgd bbbgd bg ```  Unfortunately, there's no intersection inside area A. Answer: A: 0; 0 = 0 I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#490c14ff b,#82eb5cff c,#a28487ff d,#e2ecdaff e,#6c3c41ff f,#c6b3b6ff g,#acf194ff ``` ```image fc eaaac aaaaaaf deaaaaa daaa a eaac aaa daaa aaaad aaa eaaaf eaac eaaac daaa caaac aaa caaae eaac faaae faaa daaaa aaa daaaa aaac aaaa faaa aaaa aaa aaaa aaaf aaaad faaa aaaad aaa eaaaf aaaf eaaaf faaa caaac aaa caaae aaaf faaae faaa daaaa aaa daaaa aaaf aaaa faaa aaaa aaa aaaa aaaf aaaa faaa aaaad aaa eaaaf aaaf eaaaf caaa caaac aaa caaae aaaf faaae caae daaaa aaa daaaa aaad aaaa caae aaaa aaa aaaa aaad aaaa caae aaaad aaa eaaaf aaad eaaaf caaa caaac aaaf caaae caaa faaae aaae daaaa daaa daaaa eaaa aaaa aaaf aaaa caaa aaaa aaae aaaa gbbg daaad aaaad bbbbbbb eaaa eaaaf bbbbbbbbbb aaac eaaaf bbbbbbb dbbbb faaa caaac bbbbbbg dbbbb aaae caaae dbbbbbbg bbbbd aaacaaae dbbbbbbg bbbbd eaaaaae dbbbbbbg bbbbg aaaaadbbbbbbg bbbbg faaabbbbbbg bbbbb cebbbbbg gbbbb gbbbbbbd gbbbb gbbbbbbd dbbbb gbbbbbbd dbbbb gbbbbbbd bbbbd gbbbbbbd bbbbd gbbbbbbd bbbbg bbbbbbb bbbbg bbbbbbb gbbbb bbbbbbb gbbbb bbbbbbb gbbbb bbbbbbg dbbbb dbbbbbbg dbbbbd dbbbbbbg bbbbd bbbbbbg bbbbg bbbbg bbbbg dbg bbbbb gbbbg gbb d ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#11cf8dff b,#fb7e27ff c,#97e9cdff d,#fcab72ff e,#58ddafff f,#fddac1ff g,#cdf4e7ff ``` ```image bf fbbb bbbbbd dbbbbbf fbbbbbd bbbbbb dbbbbbd bbbbbb dbbbbbf fbbbbbd bbbbbb dbbbbbf fbbbbbb bbbbbb fbbbbbd bbbbbb dbbbbbf fbbbbbd bbbbbb dbbbbbf fbbbbbb fdbbbbbbbbf fdbbbbbbbbbbbd dbbbbbbbbbbbbbbd fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbdf fdbbbbbbbbbbbbbbd fbbbbbbbbbbbbdf fbbbbbbbbdf bbbbbf bbbb bbbb bbbbf bbbbf aaaaaec bbbbf eaaaaaaaaaaaaecg bbbbd caaaaaaaaaaaaaaaaaaaaaeg bbbbd gaaaaaag ceaaaaaaaaaaaaaaaaaaec dbbbd gaaaaaac geaaaaaaaaaaaaaaaaaaecg dbbbb aaaaaac gceaaaaaaaaaaaaaaaaaaeg dbbbb eaaaaae ceaaaaaaaaaaaaaaaag fbbbb caaaaaa geaaaaaaaaaa fbbbb gaaaaaag gceaaa fbbbb aaaaaac bbbb aaaaaae bbbb eaaaaae bbbb caaaaaa bbbf gaaaaaag bf aaaaaac aaaaaae eaaaaae caaaaaa gaaaaaag aaaaaac aaaaae eaaaa aaac aaa aaa gaaa eaae aaac aaa aaa gaaa eaae aaag aaa aaa caaa eaae aaag aaa aaa caaa eaae aaag aaa aaa caaa aaac aaag aaa ```

[ "" ]

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

0

```palette Key,Color ,#fefefeff a,#79ed62ff b,#f6e782ff c,#d0f8c7ff d,#b1f4a3ff e,#f2fae6ff f,#94f081ff g,#faf3c4ff ``` ```image b gbb bbb gbgbe bb bb gbe bb bb ebe gbe bbg bb ebbbbe gbe bbbbg bb gbbbbe gbe bbbbg bb gbbbbe gbg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg bb gbbbbe ebg bbbbg fe gbbbbe aa bbbbg daa gbbbg aaae b afaf eaeaa fa da aa ad ad aa da fa aa eac c af af eaa eac aa daf fa ca fad aa ad aac ad aa aae ca da aa aa ac aa aa aa eaa eac fa caa da eae daf aa af fad ad aa fac cae ca aae fa ad aa aa aa aa ac da eaa da eac caa aa aa caf af fa dad eae cae fac fa afcccccceeee aae aa aaaaaaaaaaaaaaaaaaaaaaaaac aae ad eeeeeccccccdddddde aa ca eaa aa eaa af caf eac daf da fad aa aac ad aae ca aa aa aa aa eaa ac caa da daf aa fadaf aaae aa ```

[ "" ]

No intersections here, it's plain to see.

0

```palette Key,Color ,#fefefeff a,#e0cdbeff b,#9a8c5bff c,#db3925ff d,#eea9a0ff e,#bab18fff f,#e47062ff g,#f4e5e0ff ``` ```image dcf cccg ccccc f gccdccc fcc ccc accf accc fcc fcca gccc ccf ccc gccc ccc ccc gccc dcca gccf gccc ccc fccd gccc fcc ccc gccc gccf ccc gccc ccc gccc gccc dccg dccd gccc ccc cccg gccc ccc ccc gcccg gccd gccc gcccg ccc dccf gcccg fccg fccg gcccg ccf ccc cccg ccc ccc cccg acca acf cccg ccc a cccg fcc cccg gccf cccg ccc cccg dccg cccg ccc cccg ccc cccg gccd ccca ccc ccca fccg ccca ccf ccca ccc aaa ccca accd ebb ccca ccc ebb cccd fcc bbb cccd ccf bbe cccd ccc bbe cccd dcca bba cccdccc bba ccccc bbg cccd bbg cc bb bb gbb gbb abb abb ebb ebb bbb bbe bbe bbe bba bbg a bbg ebba bb gbbbbb bb bbbbebbg bb abbbb bbb gbb bbbba abb abb ebbbb bbeabb gbbbba ebbebb ebbbe bbbbb gbbbbg bbbbb bbbbe bbbb abbbb bbbe bbbba abbe ebbbb bba gbbbbg ge bbbbe abbbb gag bbbbe abbbbbbbbbeag ebbbb ebbbbbbbbbbbbbbbbbbbeeag bbbba gaeebbbbbbbbbbbbbbbbbbbbbeeag ebbbb gaaebbbbbbbbbbbbbbbbbbbbbbbbbg gaeebbbbbbbbbbbbe gaeeb ```

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