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oliveirabruno01

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intersection-count-pixmap-CoT

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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.\n\nThes(...TRUNCATED)

"<!-- image -->\n\n```palette\nKey,Color\n ,#fefefeff\na,#964c48ff\nb,#b6f8b0ff\nc,#c59d9bff\nd,#ebf(...TRUNCATED)