oliveirabruno01/intersection-pixel-map-CoT-l-112px-8c-economic

This is the image I'm working with. The goal is to count the intersections. There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#ed9990ff b,#0707fdff c,#fe0505ff d,#b6b6feff e,#565dedff f,#aed5aeff g,#ef423eff ``` ```image d dbb b dbb db dbb bd ebe b ebe bd ebd b bbd ee bbd b bb fffffffffffffffff ee dbb fffffffffffffffff b dbb fffffffffffffffff db ebe fffffffffffffffff b ebe fffffffffffffffff db bbd fffffffffffffffff bd bbd fffffffffffffffff b bbdfffffffffffffffff c bd dbbffffffffffffffff c b ebbffffffffffffff gg ee ffebbfffffffaffff c b ffffebefffffcffff ac ee ffffffebeffcfffff ca b ffffffffbbgafffff c db fffffffffcbbfffff ac b ffffffffgcffbffff ca db fffffffacffffffff c bd fffffffcfffffffff gg b ffffffcafffffffff c bd fffffcgffffffffff ac b ffffgcfffffffffff cgffffffffffffbef fffacffffffffffff cffffffffffffbff fffcfffffffffffff gcffffffffffeeff ffcafffffffffffff fcafffffffffbfff fcgffffffffffffff ffcffffffffebfff gcfffffffffffffff ffggfffffffbffff acffffffffffffffff fffcfffffffbffff cfffffffffffffffff ffffcfffffbfffff ca ffffcgffffbfffff cg fffffcfffbefffff gc fffffacffbffffff ac ffffffcaeeffffff c fffffffcbfffffff c fffffffebfffffff ca fffffffbcfffffff gc ffffffebfcffffff ac ffffffbffggfffff c ffffffbfffcfffff c fffffbffffacffff ca fffffbfffffcafff gg ffffbeffffffcfff ac ffffbfffffffgcff c fffeeffffffffcaf c fffbffffffffffcf ca ffeeffffffffffgg gg ffbffffffffffffc ac febffffffffffffac c fbffffffffffffffca c db c ca bd ac gg b ca ac bd c c b gg c ee c ca b c gg ee ca ac b c c db ac c b ca ca db c cg bd gg ac b c c bd c c b gca ee a b ee b db b ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#ff8686ff b,#0807feff c,#fd0507ff d,#ababfeff e,#5754fbff f,#ffcacaff g,#ff4141ff ``` ```image dbb a ebe cf dbb cg ebe cca bbd acc ebe gcg bbd fccf dbe acc bbd cca dbb fccf bbd gcg dbb cca ebe accf dbb gcg ebe fccf bbd acc ebe cca bbd fccf dbe gcg bbd cca dbb accf bbd gcg dbb fcca ebe accdbb gcebe fcbbd ebb bbca dbbccf bbdgcg dbb fcca bbd acc dbb gcg ebe fccf dbb acc ebe cca bbd fccf ebe gcg bbd fcca dbb acc bbd gcg dbb fccf bbd acc dbb cca ebe fccf dbb gcg ebe cca bbd accf ebe gcg bbd fcc dbb ac bbd g dbb f ```  Oh my, look at that! It's an intersection in area A! Alright, let's concentrate on the next area. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#ff7878ff b,#0807fdff c,#fe0404ff d,#afaeffff e,#5a5affff f,#ffbfbfff g,#f4313bff ``` ```image e bbe ebbbd dbbbbd dbbbbd dbbbed f ebbbed fcg ebbbe fcca ebbbe gcg debbbe gcg debbbd accf dbbbbgcf dbbbbd ggbbbed gcg ebbbe accf ebe fccf d fcca ccg gcg accf fccf fcca ccg gcg accf accf fcca ccg gcg accf accf fcca cca gcg acc accf cca ca ```  The evidence is clear: this is an intersection in area B. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#ff8383ff b,#0707feff c,#fe0505ff d,#b3b3ffff e,#5b59fdff f,#ffc4c4ff g,#fb3c3fff ``` ```image d dbb b dbb db dbb b ebe b ebe bd ebd b bbd ee bbd b bb ee dbb b dbb db ebe b ebe db bbd bd bbd b bb cf bd dbb c b dbb gg ee dbe f c b ebe fc fc ee ebe c ca b bbgf c db gbbd ac b ac b cf db fc c bd c gg b cf c bd cg fc b ac ca ee fc c b c ac ee cf cf b cg c db gc gg b fc c db c fc bd cf ga b ca c bd gc ac b fc cfee c cb cf eb ca bcf gc dbfc fc b gg c db c cf bd fc ca b ca gg bd c ac b ac c ee cf cf b c ca ee gg gg b c ac db fc fc b ca cf db c ca bd ac gg b cf ac bd c fc b gg c ee c ca b fc gg ee ca ac b c fc db ac c b cf cf db c cg bd gg ac b cf fc bd fc c b gcf ee a b ee b db b ```

I'm curious to see if this image contains any intersection points. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#5457f9ff b,#f7534fff c,#0707feff d,#add4adff e,#faa7a5ff f,#fe0504ff g,#a5a6fbff ``` ```image gcc c gca gc acg c ccg gc cc c gca c acg cg cc c cc cg gca c acg cg cc c gcc aa gca c acg aa cc c gcc aa aca c ccg gc cc c gca gc acg c ccg gc cc c gca c a cg c cg c cg c aa c aa c aa c gc c gc c gc c c cg c cg c cg c aa c ddddddddddaadddd ddddddddddcddddd dddddddddacddddd fddddddddcdddddd dffdddddacdddddd ddbfbdddcddddddd ddddffdgcddddddd ddddddfcdddddddd dddddddcfbdddddd ddddddcddffddddd ddddddcdddefbddd dddddcgdddddbfed dddddcddddddddff ddddcadddddddddbfb ddddcddddddddddd bfe dddcaddddddddddd ff c efb aa ff eb c ff ebffffbe aa bfe ebffffbe c ff ebffffbe aa efb ebffffbe c bfe ebffffbe ff ebffffbe efb ebffffbe bffbe ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#443af4ff b,#ff4949ff c,#0505feff d,#9090ffff e,#fe9898ff f,#fd0709ff g,#e9d6ecff ``` ```image gccg aca gccg dca gccg dca g ccd fbg dca efffe ccd gbfffe dcc efffbg ccd efffe dcc gbfffe acd efffbg dcc bfffeacd gbffccg eacab gccfffe acagbffbg gccg efffe aca gbfffe gccg efffbg dca efffe gccg gbfffe dca efffb ccd eff dca gb ccd dcc ccd dcc acd ```  Area A contains an intersection. My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#3e3effff b,#ff4b4bff c,#0404feff d,#7b7bffff e,#ffa5a5ff f,#ff0404ff g,#bfbfffff ``` ```image g dcc c gca gc dcd c ccg gc cc cg gca gc acd cg ccg c gcc cg dca c acg ad cc c gcc ad dcd c acg aa cc c gca da dcd c acg da cc c gca gc dcd c ccg gc cc cg gca gc a cg c cg c ad c ad c aa c da c da c gc c gc cg gc cg c cg c ad c ad c aa c da f c ff dc efe c ff gc efc gcfe cg ff c efb cg bfe c ff cg efb c bfe ad ff c efe ad ff eb c fb ebffffbe da bfe ebffffbe c ff ebffffbe da efb ebffffbe c bfe ebffffbe ff ebffffbe efb ebffffbe bffbe ```

I have a feeling there might be some intersections in this image. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#f65b56ff b,#0807fdff c,#fe0908ff d,#5f61f6ff e,#feb7b7ff f,#b4b4feff g,#aed5aeff ``` ```image a ec ec c ce ce ca gggggggggggggggg ca ggggggggggggggggac d gggggggggggggggac fbdbbd gggggggggggggggc bb dbbd ggggggggggggggcg bd dbbd gggggggggggggcgg dbf dbbd ggggggggggggcggg bb dbbd gggggggggggcaggg bd dbbd ggggggggggcagggg db dbbdgggggggccggggg bb gdbbdgggacgggggg fbd ggggdbbdcggggggg db gggggggbbbdggggg bb ggggggcgggbbbdgg fbf gggggcgggggggbbbf db ggggcaggggggggggbbbf bb gggcaggggggggggg fbbbf fbf ggccgggggggggggg fbb db gacggggggggggggg bd acgggggggggggggg fbf ecggggggggggggggg bb cgggggggggggggggg bd cegggggggggggggggg fbf ce gggggggggggggggg bb ca bd ca dbf ac bb ac bd ec b ec c ce ce ca cc ac ec ec c ce ce ca ca cc ca ece ac ac cc ca ece ac cc ca ce ec ac cc ca ece ac cc ca ce ece ac cc ca ece ec ac cc ca ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#fb4347ff b,#0000feff c,#fe0506ff d,#8f8cfcff e,#f1ddeaff f,#3a36faff g,#ff9c9cff ``` ```image g gc ecc ecca acae acce acce gccg gccg gccg ecca ecca de ecca bbfde acce fbbbbfde acce dfbbbbfde acce dfbbbbfde gccg edfbbbbfdccg edfbbbbfde eafbbbbfde eccaedfbbbbfde acae edfbbbbfde acce edfbbbbfd acce edfbbb gccg edf gccg gccg ecca ecca eaca acce acce accg gccg gccg cca ca a e ```  Oh my, look at that! It's an intersection in area A! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#ff4040ff b,#0a09feff c,#ff0505ff d,#6a68fdff e,#fec7c8ff f,#bebeffff g,#ff8484ff ``` ```image g gc ec c ce cg cg ca ac d gc fbdbbd ec bb dbbd ec bd dbbd ce dbf dbbd ce bb dbbd cg bd dbbd ca dbf dbbd ac bb dbbd gc fbd dbbdc db ebbbd bb c bbbf fbd ce fbbbf db cg fbbbf bb ca fbbbf fbf aa fbb bb ac bb gc fbf ec bb c bd ce dbf ce bb cg bd ca dbf ac bb gc fbd ec b ec c ce cg ca aa ac gc ec c ce ce cg ca cc ca ece gc ac ca cg ece ac cc ca ecg gce ac cc cg ece gc ac ca cg ece ac cc ca ece gc ac ca cg ```

Based on a first glance, I suspect there could be intersection regions here. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#ff5353ff b,#0202feff c,#3b3cfdff d,#ff0505ff e,#a0a1fdff f,#ffa8a8ff g,#aed6aeff ``` ```image e ecbbbc ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce bbbce eb eb eb cb cb cb bc bc bc be be be be b eb eb eb cb cb cb bc bc bc be be be be eb eb eb eb ggggcbgggggggg gggcbggggggggg gggegggggggggg gggggggggggggg gggggggggggggg gggggggggggggg gggggggggggggg gggggggggggggg gggggggggggggg gggggggggggggg gggggggggggggg fffffaaaaadddddddddddddf gggdddddddddddddddaaaaaffffff dd gggggggggggggg adf gggggggggggggg dd gggggggggggggg fdf gggggggggggggg dd gggggggggggggg fda gggggggggggggg dd gggggggggggggg fda gggggggggggggg ad gggggggggggggg da gggggggggggggg adf gggggggggggggg dd adf dd fdf dd fda dd fda ad da adf dd adf dd fdf dd fd ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#ff4848ff b,#0303ffff c,#5151ffff d,#ff0303ff e,#adadffff f,#ffb8b8ff g,#ff8080ff ``` ```image cbbe cbbe cbbe cbbe ebbe ee fffgggggggaaaaaaaddd fdddddddddddddddddddd aaaaaagggggggfffffff ```  Based on this close-up, I can conclude that there's no intersection in area A. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff4040ff b,#0202ffff c,#4040ffff d,#ff0505ff e,#a3a3ffff f,#ffbfbfff g,#ff7d7dff ``` ```image e ecbbbc ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce ecbbbce bbbce eb eb eb cb cb cb bb bc bc bc be be be b eb eb eb cb cb cb bc bc bc be be be be eb eb eb eb cb cb e ffffggggaaaaddddddddddddf dddddddddddddddaaaggggffff dd gdf dd gdg dd fdg dd fda adf fda adf dd gdf dd gdg dd fdg dd fda adf fda adf dd gdf dd gdg dd fd ```

Let's examine this image for potential line intersections. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#5050ffff b,#ff3a3aff c,#ff7878ff d,#a7a8ffff e,#ffbebeff f,#0404ffff g,#ff0404ff ``` ```image d aff dffd afa dffd ffa affd dffa aff dffd afa dffd ffa affd dffa afffaadd dddaaffffffffffaadd ddaaafffffffffaaadd ddaaffffffffffa d e bge gg cgb bge gg egb cgc gge egg cgc bge gg egb bge gg egb cgc gge egg cgc bge bgggc ecgggbe ebgggce cggggc ebgggbe cbgggc ecgggbe ebgggce cggggc ebgg ```

This image seems promising for intersection detection. There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fa0c0cff c,#888df5ff d,#ed776eff e,#4545f5ff f,#d7cdf3ff g,#add4adff ``` ```image f ac a a af ee fa a a ac ca fa a af ce ca a ggggggggggggggggagggg ec gggggggggggggggeegggg a gggggggggggggggaggggg ac ggggggggggggggaeggggg a ggggggggggggggaggggbb af gggggggggggggacgdbbgg fa ggggggggggggcadbbgggg a ggggggggggggabbgggggg ca ggggggggggbeagggggggg a ggggggggbbdaggggggggg ce ggggggbbdgeeggggggggg a ggggbbdgggagggggggggg ec gdbbgggggacgggggggggg a dbbgggggggaggggggggggg ac dbbggggggggagggggggggggg a bbd gggggggcagggggggggggg af bbd gggggggaggggggggggggg fa fbbd ee a fbbf a ca dbb ec a dbb a ce dbd af ggggaggggggggggg bbd fa ggggeegggggggggg bbd af gggggagggggggggg dbbf ca gggggacggggggggg dbbd a ggggggaggggggggg dbbd ee ggggggaggggggggbbbd a ggggggcaggggbbbd ac gggggggagbbbdggg fa ggggggbbadgggggg af gggbbbdgaggggggg ca fbbbdggggeegggggg a fbbbdggggggggagggggg ce fbbbd gggggggggeeggggg a fbbbd ggggggggggaggggg ec bd ggggggggggacgggg a gggggggggggagggg ac gggggggggggagggg fa fa af a ca ca a a ee ee a a ac ec fa a af ac fa fa a af ce fa a a ee ca a a ac ee fa a af ec ca a a af ee fa a af ac fa a a af ce fa a a ee ca a a ec ee a a aac fa ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#0605fdff b,#ff0000ff c,#9494ffff d,#ff9090ff e,#4e4effff f,#e8dbf2ff g,#f43540ff ``` ```image faaf eae faaf eac caa aac caa aac cae faaf eae faaf dg eae dgbbb faaf fdgbbbbgd eac fdgbbbbgdf caafdgbbbbgdf faagbbbgdf fdgbgaagdf fdgbbbbgaac fdgbbbbgdf cae fdgbbbbgdf faaf gbbbbgdf eae bbgdf faaf df eae faaf eac caa aac caa aac cae faaf eae faaf ```  I observe an intersection inside area A. Let's shift our focus to the next area. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#0706fdff b,#fe0808ff c,#afaefdff d,#fea6a6ff e,#5754fbff f,#850079ff g,#fe5455ff ``` ```image caa aac eaa aac eae caac eae caa aae caa g aac gbb eaa dgbbbg aac dgbbbgd eae dbbbbg caacdbbbbg eaebbbbd caabbbd dgaafgd dgbfaad dgbbbaac dbbbbgeae dbbbbd caac gbbbbd eae gbbbbd caa dgbbbgd aae dgbbbgd caa dbbbbg aac dbbbbg eaa bbbd aac bd eae caac eae caa aac ```  There's no doubt about it - this is an intersection in area B. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#0606feff b,#fe0203ff c,#9797ffff d,#ff8f8fff e,#5050ffff f,#dcd1f3ff g,#f53740ff ``` ```image f ac a a af ee fa a a ac ca fa a af ee ca a a ee ee a a ac ac a a fbb af ac dbbf fa fadbb a abg ca gga a gbda ee bbd ee a fbbd a ee dbbf ac a dbb fa ac gbg af a gbg ca af bbd a fa fbbd ee a dbbf a ca dbb ae a dbg a ee gbg ac a gbd fa ec bbd af a gbbd ca ac gbbd a a gbbd ee af gbbd a fa gbbd ac afgbbd fa ggad af fgbbd a ca fgbbd ee a fgbbd a ee fgbbd ec a fgbbd a ee bd ac a fa ac af fa fa af a ca ca a a ee ee a a ac ec fa a af ac ca fa a af ca fa a a ee ca a a ac ee fa a af ec ca a a ac ee fa a af ac fa a a af ca fa a a ee ca a a ec ee a a aac fa ```

This image seems promising for intersection detection. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#fe0707ff b,#4549f7ff c,#fba9a7ff d,#0505feff e,#989bf3ff f,#f64f4bff g,#acd4acff ``` ```image c ca ca ca ca ca a a a ac ac ac ac ac af af af af aa fa fa fa fa fa ca e ca bd ca bd ca bd ca db a db a db a de ac de ac de ac d ac d ac d af ed af ed af ed af ed aa bd fa bd fa bd fa db fa dbggggggggggggggfa dbggggggggggggfa gdbggggggggggaag ggdeggggggggaagg gggdeggggggafggg ggggdgggggafgggg gggggdgggafggggg ggggggdgafgggggg ggggggedcggggggg ggggggaedggggggg gggggaggedgggggg gggcaggggbdggggg ggfaggggggbdgggg gfaggggggggbdggg faggggggggggddgg faggggggggggggdbg aaggggggggggggggdb af dbe af bbddddddddbbee af eebbddddddddbbee ac eebbddddddddbbee ac eebbdddddd ac ca ca ca fa fa fa aa af af af ac ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fd0608ff b,#423df9ff c,#fe9999ff d,#0505feff e,#9392fdff f,#ff4646ff g,#e8d7edff ``` ```image ddb gddb edde f edde fa edde gfaa edde gaaag edde gaaag bdde gaafg bddg caaf bddg caaf bddg caaf bddg caaf gbdbg caac gddb faac gddb faac gddbaac gddbc gfaddb gaaaedde gaaag edde gaafg edde caaf edde caaf edde caaf bdde caaf bddg caac bddg faac bddg faac bddg faac gbdbg faac gddb faag gddb aag gdd ag gd ```  The lines cross each other within area A, forming an intersection. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0606ff b,#4949ffff c,#ff8080ff d,#0606ffff e,#a09efdff f,#ff3e3eff g,#fec6c6ff ``` ```image c ca ca ga ga ga ga a ag ag ag ag ac ac ac af af af af fa fa fa ca ca ca e ca bd ga bd ga bd ga db ga db a db ag de ag de ag de ag d ac d ac d ac ed af ed af ed af ed ff bd fa bd fa bd fa db ca db ca db fa de fa de aa de af d af d ac d ac edg gaed ga ed ga ed ca bd ca bd fa bd fa db aa db af dbe af bbddddddddbbee ac eebbddddddddbbee ac eebbddddddddbbee ag eebddddddd gag gag ga ca ca fa fa aa af af ac ac ```

I'm ready to tackle this image and find those intersections! There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff5151ff c,#8484ffff d,#ff0404ff e,#3f3fffff f,#ffababff g,#c7c7ffff ``` ```image ff fffbbddddddddddb fffbbddddddddddbbfff ffbbbddddddddddbbfff ddbbff db db db df df df df d fd fd fd fd bd bd bd bd dd db db db db df df df df d fd fd fd fd bd bd bd f aa gaacgac caag aa eae ea aac gac gaac aa caag cag eae ae aac aa gaac cag caag ae eae ea aac gag gaag ae caag ea eae gac ac aa ea gac aa cag gac aa cag ae ea cag ae ea gac ae ea ga ```

I'm optimistic that I'll find some intersections in this image. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0606feff b,#f34948ff c,#999cf9ff d,#fe0606ff e,#fea8a8ff f,#484cf6ff g,#aed4aeff ``` ```image faaf a faa a caac af faf ca caac a aaf ac caac ca aaf a faa ac caac ggggggggggggggfag faa ggggggggggggggagg caac gggggggggggggaggg aaf ggggggggggggffggg caac de ggggggggggggagggg aaf ebddde gggggggggggaggggg faa ebddbe ggggggggggafggggg caac edddbegggggggggcagggggg faa edddbggggggaggggggg c ggbdddbgafggggggg ggggggbbadbgggggg gggggggaggbdddbgg ggggggacggggggbddde gggggfaggggggggggebddde gggggaggggggggggg ede ggggagggggggggggg d gggffgggggggggggg ed gggaggggggggggggg bd ggagggggggggggggg de gafgggggggggggggg d caggggggggggggggg d a ed ac bb ca de a d ac d fa ed a bb ac de ff d a d a ed af db ca de a d ac ed ca bd a db ac de fa d a ed ac bd db de d ed bd db de d ed bd db de d ed bd de d d ed bd de d d ed bb de d ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#0202feff b,#f9454bff c,#bfbfffff d,#fe0404ff e,#ff9f9fff f,#726ffbff g,#2d2afcff ``` ```image gaf fag caac gaf fag caac aaf gag faac caaf gag faa caac gaf fag e caac ddbee gaf ddddddbe fag ebddddddbe caac eebddddddbe aaf eebdddddgag eebbaaddbbe caafbdddddbee gag ebbdddddbee faa ebddddddbe caac ebdddd gaf eb fag caac gaf fag caac aaf gag faac caaf gag faa caac gaf fag ```  Eureka! There's definitely an intersection in area A! The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#0707feff b,#fb3d41ff c,#b7b7ffff d,#ff0505ff e,#ff8a8aff f,#5c5cffff g,#ffc9c9ff ``` ```image c faaf ca faa a caaf af faa ca caac a aaf af faac ca caaf a faac ac caaf fa faa a caac ac aaf ff faac de ca caaf gbddde a faac gbddbg af caaf ebddbg ca faa edddbg a c edddbgaf ebade a eddde ac gbddde fa gbdddg a gdg ac d ff ed ca bb a de af dg ca d a ed af bb ca de a dg ac gd fa ed a bb ac de ff d ca gd a ed af bb ca de a d af gd ca ed a db ac dg fa d a gd ac ed db dg d gd bd db dg d gd bd de dg d gd bd de dg d ed bb de dg d ed bb de d ```

The hunt for intersections begins! Let's analyze this image closely. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#fe0808ff b,#5355faff c,#ffb3b3ff d,#aaabfdff e,#add4acff f,#fa6260ff g,#0808feff ``` ```image d dgggb ggg gg bggd bg dggb dg dggb gd bggd gb bggd gg dggb bg gggd dg bggd gd dggb gb ggg gg bggd bg gb dg gd gb gg caf bg a aa dgd ff caf gd a aa gb ac caf gg ca aa bg a caf dgd fa aa gb a caf gg af aa bg a caf dg ac aa dgd ca caf gb a aa gg ff caf bg a aa eeeeeeeebgeeeeee ac caf eeeeeeeeeegdeeee ca aa eeeeeeeeeeegbeee a caf eeeeeeeeeeeeggee fa aaeeeeeeeeeeeeebee a cafeeeeeeeeeeeeee ff eaaeeeeeeeeeeeee a eeeafeeeeeeeeeee ac eeeeaaeeeeeeeeee ca eeeeeeafeeeeeeee a eeeeeeeaaeeeeeee fa eeeeeeeeeafeeeee a eeeeeeeeeeaaeeee af eeeeeeeeeeeeafee a eeeeeeeeeeeeeaee ac eeeeeeeeeeeeeeee ca eeeeeeeeeeeeeeee a eeeeeeeeeeeeeeee ff eeeeeeeeeeeeeeee a eeeeeeeeeeeeeeee ac eeeeeeeeeeeeeeee ca a fa a af a ac ca a ff a ac ca a fa a af a ac ca a ff a ac ca a ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#ff1f1fff b,#5151ffff c,#ffbcbcff d,#b2b2ffff e,#ff0000ff f,#ff6a6aff g,#0909ffff ``` ```image bggb dggb dgggd dgggd bggd bggb dggb dgggd ggg f bd eac aeef feeac caeef feeac caeef feeac caeef feeac caeef feeac caeef feeac caeef feeac caeef feeac caeef feea caf ```  Based on this close-up, I can conclude that there's no intersection in area A. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff2424ff b,#5a5affff c,#ffbabaff d,#b5b5ffff e,#ff0101ff f,#ff6f6fff g,#0808ffff ``` ```image d dgggb gggd gg bggd bg dggb dg dggb gd bggd gb bggb gg dggb bg gggd dg bggd gd dggb gb dggg gg bggd bg gb dgd gd gb gg cef bg e ae dgd fa cef gb e ae gb ec cef gg ce ae bg e cef dgd fa ae gb e cef gg af ae bg e cef bg ec ae dgd ce cef gb e ae gg fa cef bg e ae dg af cef dgd ce ae gb ec cef gg fa ae b e cef af ae e cef ec ae ce cef e ae fa cef e ae af cef e a ec fe e af e ec ce e fa e af e ec ce e fa e ec ce e fa e af e ec ce e fa e af ce ec ```

The hunt for intersections begins! Let's analyze this image closely. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0505feff c,#f49d98ff d,#a9aafbff e,#add4adff f,#5158eeff g,#f95451ff ``` ```image eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeceeee eecgaaaaaaaaeeee cggaaaaaaggceeeeeeeeeee cgaaaaaaagcc eeeeeeeeeeeeeeee ccgaaaaaaagcc eeeeeeeeeeeeeeee aaaaaaagcc eeeeeeeeeeeeeeee gg eeeeeeeeeeeeeeee a eeeeeeeeeeefeeee gg eeeeeeeedbbfeeee a eeeeeefbbeeeeeee gg eeefbbfeeeeeeeee a dbbf cg fbbd a dbbf ca dbbf a fbbd ca dbbf eeeeeeeeeeeaeeee bbb eeeeeeeeeecaeeee fbbd eeeeeeeeeeaeeeee dbbf eeeeeeeeecaeeeee bbb eeeeeeeeeaeeeeee fbbd eeeeeeeeeaeeeeee dbbf eeeeeeeeaeeeeeee fbbd eeeeeeeeaeeeffbbbbd eeeeeffbbbbbffee dfbbbbbffaeeeeeeee dfbbbbbfdeeeeeeaceeeeeeee dfbbbbbfdd eeeeeeaeeeeeeeee bbbbfd eeeeeaceeeeeeeee eeeeeaeeeeeeeeee eeeeageeeeeeeeee eeeeaeeeeeeeeeee eeeageeeeeeeeeee eeeaeeeeeeeeeeee gg a gg a gg a gg a ca a ca a ca a ca a ca a a ac a ac a ac a ac a ac a gg a gg a gg a gg a cg a ca a ca a ca a ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#fd0405ff b,#0707feff c,#fe7f80ff d,#a9a9feff e,#febbbcff f,#5c5cffff g,#f8353cff ``` ```image gac eaa gac eaa gac eaa gac eaa gac eaa gac eaae gag eaae gag eaae ddffbbb cagdffbbbbbbbbbb ddffbbbbbbbbbbbffdd ddffbbbbbbbbbbbffdd fbbbbbbbbbbffdgae bbbbffdd cag dd aae cag aae cag aae cag aac caa gac eaa gac eaa gac eaa gac ```  The evidence is clear: this is an intersection in area A. Time for a closer look at another area. Eureka! Let's inspect this close up of area B  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0403ffff c,#ff7e7eff d,#9c9cffff e,#ffbabaff f,#4444ffff g,#ff4444ff ``` ```image eee eeccggaaaaag eeccggaaaaaaaaaaaaagc gaaaaaaaaaaaaaggccee aaaaaggccee ee dd dfbbf dfbbbbfd dbbbbfd dfbbbbfd ```  The evidence suggests that this is not an intersection point in area B. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#fe0405ff b,#0505feff c,#ff7c7cff d,#a4a3feff e,#ffbcbcff f,#5353ffff g,#ff4141ff ``` ```image e ecgaaaaaag eecgaaaaaagce eccgaaaaaagce ecgaaaaaaagce aaaaaaagce gc a f gg dbbf a fbbd cg dbbd a dbbf cg fbbd a dbbf cg bbf a fbbd ca dbbf a bbb ea fbbd a dbbf ea bbb a fbbd ea dbbf ae fbb ea dfbbbbd dfbbbbbfd dfbbbbbfda dfbbbbbfd ae dfbbbbbfdd a bbbffd ae a ac a gc a gc a gg a cg a cg a cg a ca a ea a ea a ea ae ea ae a ae a ae a ac a gc a gc a gc a gg a cg a cg a ca a ea a ea a ```

I have a feeling there might be some intersections in this image. I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#ee4e46ff b,#0607fdff c,#ea958aff d,#fd0706ff e,#b1d7b1ff f,#535beeff g,#96c797ff ``` ```image cd daa aa d d cd dc d d d dc dc d d d dc cd d d aa ca d d cd aa d d cd dc dc d d dc dc d d d aa cd d d cd cd d d cd aa d d d dc dc d d dc aa d d d ca cd d d cd cd dgeeeeeeeeeeeeeeeeeeeeeeeg d gdeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeg aa gdceeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeg d gedeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeg dc gedaeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeg d geedeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeegdc geeaaeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeegd geeedeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeed geeecdeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeecd geeeedeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeedg geeeegdeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeadg geeeeedceeeeeeeeeeeeeeeeeg eeeeeeeeeeeeedeg geeeeeedeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeaaeg geeeeeedaeeeeeeeeeeeeeeeeg eeeeeeeeeeeedeeg geeeeeeedeeeeeeeeeeeeeeeeg eeeeeeeeeeedaeeg geeeeeeeaaeeeeeeeeeeeeeeeg eeeeeeeeeeedeeeg geeeeeeeedeeeeeeeeeeeeeeeg eeeeeeeeeedceeeg geeeeeeeecdeeeeeeeeeeeeeeg eeeeeeeeeedeeeeg geeeeeeeeedeeeeeeeeeeeeeeg eeeeeeeeedgeeeeg bbbbbbffe geeeeeeeeecdeeeeeeeeeeeeeg eeeeeeeecdeeeeeg ebf effbbbbbbbffegeeeeeeeeeedceeeeeeeeeeeeg eeeeeeeedeeeeeeg bb effbbbbbbbfffeedeeeeeeeeeeeeg eeeeeeeadeeeeeeg ebf geeeeegffbbbbbbbbfffeeeeeg eeeeeeedeeeeeeeg bb geeeeeeeeeeeedeegffbbbbbbb eeeeeeaaeeeeeeeg bf geeeeeeeeeeeeaaeeeeeeeeeeg eeeeeedeeeeeeeeg bb geeeeeeeeeeeeedeeeeeeeeeeg eeeeedaeeeeeeeeg bf geeeeeeeeeeeeeadeeeeeeeeeg eeeeedeeeeeeeeeg fb geeeeeeeeeeeeeedeeeeeeeeeg eeeedceeeeeeeeeg bf geeeeeeeeeeeeeecdeeeeeeeeg eeeedeeeeeeeeeeg fb geeeeeeeeeeeeeeedceeeeeeeg eeedceeeeeeeeeeg bf geeeeeeeeeeeeeeeedeeeeeeeg eecdeeeeeeeeeeeg fb geeeeeeeeeeeeeeeedceeeeeeg eedeeeeeeeeeeeeg bf geeeeeeeeeeeeeeeeedeeeeeeg eeeeeeeeeeeeeeegfb geeeeeeeeeeeeeeeeeaaeeeeeg eeeeeeeeeeeeeeebb geeeeeeeeeeeeeeeeeedeeeeeg eeeeeeeeeeeeefbg geeeeeeeeeeeeeeeeeeadeeeeg eeeeeeeeeeeebbeg geeeeeeeeeeeeeeeeeeedeeeeg eeeeeeeeeefbgeeg geeeeeeeeeeeeeeeeeeecdeeeg eeeeeeeeebbeeeeg geeeeeeeeeeeeeeeeeeeedgeeg eeeeeeefbgeeeeeg geeeeeeeeeeeeeeeeeeeegdeeg eeeeeebbeeeeeeeg geeeeeeeeeeeeeeeeeeeeedceg eeeefbgeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeedeg eeebbeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeedag eebfeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeedg eeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeead ggggggggggggggge d ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#ff4242ff b,#0b0bffff c,#ff8a8aff d,#ff0505ff e,#bdbdffff f,#6868ffff g,#ffc9c9ff ``` ```image g a gd ad cdd ddc cdd ddc cda gddg ada gddg ada gddg adc cdd ddc cdd ddc cda gddg ada gddg ada gddg adc cdd ddc cdd ddc cda gddg ada gddg ada gddg adc cdd ddc cdd ddc cda gddg ada gddg ada gddg adc gdd cc f ebb fbbb ebbbf fbbbe ebbbf fbbbe ebbbf fbbbe ebbbf fbbbe ebbbf fbbbe ebbbf fbbbe ebbbf fbbbe ebbbf ebbe e ```  Area A does not contain any intersection points. Alright, let's examine the next area. Let's see what secrets area B holds.  ```palette Key,Color ,#fefefeff a,#fc3a3dff b,#0706fdff c,#ff7b7bff d,#ff0404ff e,#b3b3ffff f,#6059f7ff g,#ffc2c2ff ``` ```image dd adc gddg ada gddg cda ddg cdd ddc gdd adc gddg ada gddg cda ddg cda ddc cdd adc gddg ada gddg cda ddg cda ddc cdd adc gdd adc gddg ada gddg cda ddc cdd adc gdd adc gddg ada e gddg bbbbbfffeee cda bbbbbbbbbbbbbbbfffeee ddg eeeffffbbbbbbbbbbbbbbbbffeee eeeffffbbbbbbbbbbbbbbbfffeee eefafffbbbbbbbbbbbbbbbfffee adc eeeffffbbbbbbbbbb gddg eeeffff ada gddg cda ddg cda ddc cdd adc gddg ada gddg cda ddg cda ddc cdd adc gdd adc gddg ada gddg cda ddc cdd adc gdd adc gddg ada gddg cda ddg cdd ddc gdd adc gdd ad gd ```  Oh my, look at that! It's an intersection in area B! It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#ff3d3dff b,#0505ffff c,#ff7c7cff d,#ff0404ff e,#c3c3ffff f,#5454ffff g,#ffc1c1ff ``` ```image g cd dca aa d d cd dc dg d gd dg dg gd d dg ac gd d d aa ca d d cd aa d d gd ac dg d d dg dc gd d dg aa gd d d cd ca d d gd aa dg d d ac dc d d dg ac gd d dg ca gd d d gd ca dg d gd aa dg d d ac ac d d dg ca gd d dg cd gd dg d gd cd dg d d aa ac d d ac aa d d dg cd gd d dg bbbbbbffee gd gd ebf eeffbbbbbbbffee dg d bb eeffbbbbbbbffee d cd ebf eeffbbbbbbbffe d bb d eeffbbbbbb aa ebf aa d fb d ac ebf ca d fb d dg ebf gd gd fbe dg dg ebf d gd fbe dc d bf d fbe ac bf d fbe ca bb d fbe gd bb dg fbe gd bb dg fbe d bb ac be d ca d ```

I'm examining this image closely. My goal: find any and all intersections. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#3232ffff c,#ff8686ff d,#aaaaffff e,#0202ffff f,#ff4141ff g,#ffc8c8ff ``` ```image d deeeeebd deeb dbeebd deebd dbeebd beed dbeebd beed dbeebd beed dbeebd deeb dbeebd deeb dbeebd deeb dbeebd dbeed dbeebd beed dbeeb beed d eed c faa a fa ac ca ga gag ag ac ga af a fa cf ca a gag ff ac a af ac aa a fa ag ca ga gag a ac ca af a fa ff ca a gag fc ac a af ac aa ga fa ag ca ga gag a af cf af a fa ff ca a gag ac ac a af ag aa ga fa a gag ca ga a ff a fc a ag ga ag ca a cf a ff a ac ga ag ga a ca a ff a ac a ag ga ag ```

This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#f25b56ff b,#090afdff c,#ffb0b0ff d,#666deeff e,#b0d6b1ff f,#fd0707ff g,#98c498ff ``` ```image geeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeee eeeeeeeeeeeeaeeee eeeeeeeeeeeefeeee eeeeeeeeeeefaeeee eeeeeeeeeegfeeeee eeeeeeeeeefgeeeee eeeeeeeeeafebeeee eeeeeeeeefbbdeeee eeeeeeedbbgeeeeee eeeeedbbfeeeeeeee eeebbdefaeeeeeeee c gbbdeeefeeeeeeeee aa dbbgeeeefaeeeeeeeee f dbb eeeeeefeeeeeeeeee aa bbd eeeeefgeeeeeeeeee f bbd eeeegfeeeeeeeeeee aa ebbe eeeefeeeeeeeeeeee f dbb eeeafeeeeeeeeeeee aa dbd eeefeeeeeeeeeeeee f bbd eeaaeeeeeeeeeeeee af ebbe eefeeeeeeeeeeeeee f dbb gfagggggggggggggg cf dbb f f bbd fc cf ebbd cf f dbb f cf ebb cf fc bb f cf bbe aa ggfgggggggggggge dbd f eeefeeeeeeeeeeeg ebb fa eeefgeeeeeeeeeeg bb f eeeefeeeeeeeeeeg bbe fc eeeefaeeeeeeeeedbd cf eeeeefeeeeeeedbb f eeeeefaeeeeebbeg cf eeeeeefeeebbgeeg f eeeeeefadbdeeeeg aa eeeeeedbbeeeeeeg f eeeeebbaaeeeeeeg aa eeebbgeefeeeeeeg f edbdeeeeaaeeeeeg fc ebbeeeeeeefeeeeeg f bbgeeeeeeeeafeeeeg fc bbe eeeeeeeeeefeeeeg cf dbd eeeeeeeeeeafeeeg f bb eeeeeeeeeeefeeeg af eeeeeeeeeeeafeeg f ggggggggggggfgge aa cf f f fc cf f f fc cf cf fc f f af fc f f aa fc f f fc fc f f fc fa cf f f aa cf f f aa aa f f aa fa f f af fc f cf cf f f cf cf f f aa cf f f aa cf f ffc f ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#f4454fff b,#0706fdff c,#ff9797ff d,#4c4cffff e,#9393feff f,#fe0707ff g,#e8d7edff ``` ```image afa gffg afa gffc afa gffc cfa ffc cff ffc g cff eb ffc ebbb cff gdbbbe ffc gdbbbe cff ebbbdg ffc ebbbdg cff gdbbbe afcgdbbbe cfabbbdg ebbbdg gdbbbag gdbbbeafa ebbbdg gffg ebbbdg afa gdbbbe gffg gdbbbe afa ebbbdg gffg bbbdg afa bbe gffc e afa gffc cfa ffc cff ffc cff ffc cff ```  I've cracked the case! This area contains the intersection. Let's continue our search in the next region. This close-up might reveal an intersection in area B.  ```palette Key,Color ,#fefefeff a,#ff4141ff b,#0807fdff c,#fd7e80ff d,#6050efff e,#b0b0feff f,#fd0506ff g,#fdbfc0ff ``` ```image c gff ffc cff ffg cfa gffg afa gffg afc gff ebd ffcdbbbb cfdbbbbe ebbbbde ebbbbde dbbbbdg edbbbbdfa edbbbdegffg ebbbbde afa dbbbbd gff edbbbbe afc edbbbde cff bbbde ffc bd cfa ffg afa gffg afa gffg afc cff ffc cff ffg cfa gffg afa gffg afc ```  Incredible, there's actually an intersection in area B! After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#fe4242ff b,#0b0bfeff c,#ff8585ff d,#6a6affff e,#b6b6feff f,#fe0505ff g,#ffc7c7ff ``` ```image c f fc gf fg gf b fbbe ebbe dbbf bbd aa c ebbd f ac ebbe fc f dbb gf aa bbd fg f bbd gf aa ebbe f f dbb cf ca dbd f f bbd aa ca ebbe f f dbb fc cf dbb f f bbd fg gf ebbe gf f dbbe f gf ebb cf fg bb f gf bbe aa fg dbd f gf ebb ac fg bb f f bbe fg fc dbd gf f ebb fg fc bb cf f bbe f acdbd ca ebb f bbaa ac bbe f f dbd aa fc ebb f gf bb ca fg bbe f gf dbd ca f bb f ca cf f f aa gf f f fc gf gf fg fg gf gf fg f gf cf fg f f aa fc f f fc fc f f fg ac gf f f ac cf f f aa aa f f ca ac f f ca fg f gf cf fg f cf cf f f ca gf f fg ac gf f ffc gf ```

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,#fe0605ff b,#0707feff c,#f79796ff d,#585bf7ff e,#f84d4aff f,#aed5aeff g,#b4b4ffff ``` ```image c eaaaaaec ceaaaaaec ceaaaaaec ceaaaaaec ceaaaaaec cea ee a ca ac a ee a ca ac a ee a ca a a ac a feaffffffffffff ffaffffffffffff fffafffffffffff g fffaeffffffffff dbbbd ffffaffffffffff gdbbbd ffffeafffffffff dbbbbg fffffafffffffff gdbbbdg fffffcafffffdbbbbg ffffffacdbbbdff fffdbbbbdffffff gdbbbdfffeeffffff gbbbbdffffffffaffffff bbbdg ffffffffcafffff dbg fffffffffacffff bb ffffffffffaffff dbg ffffffffffaefff bb fffffffffffafff dbg fffffffffffeaff bb ffffffffffffaff dbg a bb ac gbg a bb ca gbg a bb a gbd ac bb a gbd ee bb a gbd ca db ac bd a db ee bd a dbg ca bb ac dbg a d ee a ca a a ac a ca a a ac a ee a ca ac a ee a ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0b09fdff c,#fa888dff d,#6969ffff e,#ff4343ff f,#ffcbcbff g,#b0b0ffff ``` ```image faaf caa aac caaf eae faaf cae aac caa eae faaf eae aac caa eac g faaf gddbbb eae gdbbbbbbbb faacgdbbbbbbbddg gdbbbbbbbbdg ggdbbbbbbbbdg gddbbbbbbbdgcaaf dbbbbbbbddg eae bbbbdgg faaf dg caa aac caaf eae faaf cae aac caa eae faaf eae aac caa eac ```  I observe an intersection inside area A. After careful examination, I conclude that there is one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0707feff c,#fd9192ff d,#5b5bffff e,#ff4a4aff f,#ffd2d2ff g,#b2b2ffff ``` ```image cf eaaaaaecf fceaaaaaecf fceaaaaaec fceaaaaaec fceaaaaaec fcea ee a fa ac a ee a ca af a ee a ca af fa ac a ca af fa g ac dbbbd a gdbbbd ee dbbbbg a gdbbbdg fa gbbbbg acdbbbdg gbbbbd gdbbbdg ee gbbbbd a bbbdg ca dbg af bb a dbg ee bb a dbg ca bb af dbg fa bb ac gbg a bb ca gbg af bb fa gbd ac bb a gbd ee bb a gbd fa db ac bd a db ee bd a dbg ca bb af dbg a d ee a ca af fa ac a ca af fa ac a ee a fa ac a ee a ```

I'm analyzing this image to identify any points where lines intersect. 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,#0707fdff b,#fd0807ff c,#9da2f2ff d,#f0564fff e,#4d51f1ff f,#f79f9bff g,#add4adff ``` ```image f bf b dd b dd b fb b fb b fb bf b bf b bf b dd ca b aee dd ae ac b ca a fb a ca b ee ac fb a a b a ca fb ee ee b a a b a a bf ee ea b a ac bf ac a gggbggggggggeagg ca gggbdgggggggaggg ae ggggbggggggagggg a ggggddggggeagggg a gggggbggggaggggg ea gggggdbggacggggg ac ggggggbgeagggggg a ggggggdbaggggggg ca gggggggacggggggg ae ggggggeabggggggg a ggggggagbggggggg a gggggacggbgggggg ea ggggeagggbfggggg ac ggggagggggbggggg a gggacgggggbdgggg ca ggeagggggggbgggg ae ggaggggggggbdggg a gaegggggggggbggg ca ca dd ee a b ac ac dd a ca b ca a fb ac ac b a ca fb ggcaggggggggggggggg a b gggaegggggggggggggg ac b ggggagggggggggggggg ca bf gggggaggggggggggggg a b gggggeagggggggggggg ac bf ggggggaeggggggggggg ca b gggggggaggggggggggg a bf gggggggcaggggfddbbbb ae b gggfddbbaebbbddfggg ca dd ffdbbbbbbbbddgggaggggggggg a b fddbbbbbbbdff ggggggggggagggggggg ae dbbbbbbbbdff ggggggggggeaggggggg ca f gggggggggggacgggggg a ggggggggggggagggggg ae ggggggggggggcaggggg ca gggggggggggggaegggg a ggggggggggggggagggg gggggggggggggggaggg ea ac a ca ae a ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#0202ffff b,#fe090aff c,#6a6affff d,#ff6262ff e,#291ff4ff f,#fbadb0ff g,#bdbcfeff ``` ```image bbf gaag fbb aac bbd cae fbb gaag bbd aac fbb cae dbd gaag fbbf aac dbd cae bbf gaag dbd eac bbf cae dbb gaag bbf eac dbb cae bbfgaag fbbeac beae faag eaed caebb gaagdbd eac fbbf cae dbd gaag bbf eac dbd cae bbf gaag dbb eac bbf cae dbb gaag bbf eac fbb cae bbd gaag fbb eac bbd caa fbb ```  Eureka! There's definitely an intersection in area A! Now, let's scrutinize the next spot. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#0403feff b,#fe0808ff c,#7672faff d,#fb5b5fff e,#3430fbff f,#ffb2b2ff g,#c0c0ffff ``` ```image cae eac gaag caa eae gaac caag eae aac gaag caa eae gaac caag eae aac ff gaag fffdddbbbbb caadddbbbbbbbbbbbbbbb fffdddbbbbbaaebbbbbbbdddfff dddbbbbbbbbbbbbbbdaacfff bbbbbbbbdddfff caag dfff eae aac gaag cae eac gaag caag eae gaac gaag cae eac gaag caa eae ```  There is an intersection point visible in this close-up of area B. After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0909ff c,#8787ffff d,#ff6060ff e,#423ffcff f,#ffb3b3ff g,#cacafeff ``` ```image f bd b dd b dd b db b fb b fb bf b bf b bd b dd ga b aee dd ee ag b ga a db a ca b ee ac fb ga a b ag ga fb ee ee bf ga ag b ag a bf ee ca b ga ac bf ag a b ee ga bd a ee b ag ag dd ee ga b a ea db ag ac b ee a fba ca ag ac cab a a bf ga ag fb ee ca bf ag a b a ag bf ca ca b ac a bd a ac b ga ca dd ee a b ag ac db a ca b ca a fb ac ac b a ca fb ga a bf ee ac fb ag ca bf a a b ca ac bf ac ga b a a bd ga fddbbbb ac b fddbbaebbbddf ga dd ffdbbbbbbbbdff ag a b ffdbbbbbbbbdff ga ac dbbbbbbbbddf ea ga ff ac a a ee ca ga ae a ag ga ee ag a ca ac a ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff4d4dff c,#8282ffff d,#ff9696ff e,#c2c2ffff f,#3c3cffff g,#ff0606ff ``` ```image eeee eaffaaaaaaaaaaaaaaaaaaaaaaaafffffccccceeee aa eeeecccccffffaaaaaa fae eaf aa cac eaf aae cac aa fae caf aa fae eaf aa cac eaf aa cac aa fae e gg dgg dgg g dgg bggd dgg dggd dgg dggb dgb ggg dgb bggd bgb bggd bgb dggb bgb dggb bgb bggd bgb bggd bgb dggb bgd dggb bgd bggd bgd bggd ggd dggb ggb ```

This is the image I'm working with. The goal is to count the intersections. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#4347f7ff b,#f07570ff c,#8789f9ff d,#afd6aeff e,#fd0404ff f,#0607feff g,#cdcafbff ``` ```image g cf fcf cf fc f f gf cf fg fg gf f fg aa f f fg gf f fc fc f f cf ac fc f f aa cf f fg ca f f aa ca f f gf cf fc f f gf cf fg fc gf f fg cf f fg fg f f aa fc f f gf ac fc f f aa cf f fc ca f f cf ca fg f f cf aa f f gf gf fg fc gf f fg cf f fc fg f f cf fc fg f f ac aa f fg aa gf f fa ca ddddfdddddddddddd f ddddcfddddddddddd ca dddddfcdddddddddd f ddddddfdddddddddd cf ddddddafddddddddd f dddddddfcdddddddd gf ddddddddfdddddddd fg ddddddddaaddddddd gf dddddddddfbeedddd fg dddddddbeefdddddd f dddddeeebdfaddddd fg ddeeebdddddfddddd f beebddddddddcfdddd fc beebddddddddddddfdddd ddddddfddddddddd beeb ddddddddddddddddd dddddfaddddddddd beeb ddddddddddddddddd dddddfdddddddddd deee ddddddddddddddddd ddddaadddddddddd geeeg ddddddddddddddddd ddddfddddddddddd eeed ddddddddddddddddd dddaaddddddddddd beeb dddfdddddddddddd beeb dddddddddddddddd beeb dddddddddddddddd beeb dddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dddddddddddddddd dddddddddddddddd dddddddddddddddd ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#3737ffff b,#ff7374ff c,#6b6cffff d,#e1ddfaff e,#ff0000ff f,#0303ffff g,#b6b6ffff ``` ```image gff afc gff afc gffd afc gffd afc dffd cfc dffd cfa dffg gaa d bbbbbbbbbbbbbbbbbbbbbbb deeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbb ```  Hmm, it seems there's no intersection in area A after all. Okay, on to the next area of interest. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#3932f7ff b,#ff4241ff c,#7e77f7ff d,#fd9496ff e,#fd0405ff f,#0404feff g,#c0c0ffff ``` ```image gffg cfa ffc gffg afa ffc cff afa gffg cff afc gffg cfa ffc gffg afa ffc dbd cffdbeeee dafaeebd dbeeeffc deeeeedcff dbeeeebd afc dbeeeebd gffg dbeeeebd cfa dbeeeebd ffc eeeebd gffg ebd afa fc ```  Gotcha! I've found the intersection hiding in area B! The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#3838ffff b,#ff5252ff c,#7878ffff d,#fca4a6ff e,#fe0202ff f,#0404ffff g,#babaffff ``` ```image g cf fcf gf fg f f gf ca f fg gf f fg aa f f fg gf f fc ac f f gf ac fg f f ac ca f fg ca f f aa ca f f gf gf ac f f gf gf f fg gf f fg ca f fg fg f f aa fc f f gf ac ac f f ac gf f fg ca f f cf ca fg f f gf aa f f gf gf f ac gf f fg gf f fc fg f f cf fc fg f f ac aa f f ac gf f ac ca f f gf ca fc f f gf cf f fg gf f f aa gf fdee fg deef f eeed ac fg beed f f beed gf fc beeb f f deeb ac deeb f deeb ac deeed f beed ca beed a beed beeb deeb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb ```

This is the image I'm working with. The goal is to count the intersections. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff2e2eff b,#0707ffff c,#b1b1ffff d,#ffbcbcff e,#ff0202ff f,#ff7171ff g,#5757ffff ``` ```image c bb bg cbc gb bb bg cbc gb bb bg cbc gb bb bg cbc gb bb bg cbc gb bb bc cb bb bg cbc gb bb c bg bbbbbgcc cbc cgbbbbbgc gb cgbbbbbgc bb cggbbbbbgc bg cgbbbbbgcc cbc cgbbb d aeead daeeef dfeeefd feeead daeead daeeef dfeeefd feeead daee def ae def ee fed ea fed ea ae def ae def ee fed ea fed ea ae def ae def ee fed ea fed ea ae def ae de ```

This image might have some surprises. Let's look for intersections carefully. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#fd0d0dff b,#0605fdff c,#f57974ff d,#9395faff e,#f1d2dfff f,#acd4adff g,#484bf5ff ``` ```image e aa ac a ea ca ac ae a ea aa ac ae ea ca ac ae a ea ca ac ae ea ca aa ae a ea ca ac ae a ca aa ac a ea ca ac ae a ea aa ac ae ea d ca gbe cae ebg eac gb gbe aa gbg ebg cae dbg gb eac dbb ebg aa ffffffffffffffff dbb bb cae ffffffffffffffff ebb ebg eacffffffffffffffff ebbe bb aafffffffffffffff bbe dbd aafffffffffffffbbd bb ffacfffffffffbbg dbd fffaaffffffgbgff bb ffffaafffgbgffff dbd fffffcagbgffffff bb fffffdbbafffffff dbd fffdbbffaaffffff bb ffbbfffffcacffff dbd ebbfffffffffaafff bb bbffffffffffffaaff gbe bbd fffffffffffffcac bg gbd fffffffffffffffac gbe gbd ffffffffffffffffaa bg gbg ffffffffffffffff cae gbdbg ac eg aa cae eac aa cae eac aa ca ea ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0706fdff c,#ff8181ff d,#c0c0ffff e,#fec9caff f,#fa363aff g,#5d57f8ff ``` ```image c af aaae efaac faaf caafe db efaac dbbb faaf dgbbbg caafe dgbbbg eaaac dgbbbg faac gbbbgd caafe gbbbgd eaaagbbbgd egbbbgd dbbbbffe dbbbbdeaaae dbbbbd efaac dgbbbg caafe dgbbbg eaaae dgbbbg efaac dgbbbgd caaf bbbgd eaaae bgd efaac d caaf caa ef ```  My analysis confirms the presence of an intersection in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0706feff c,#ff8181ff d,#ababffff e,#ffccccff f,#fe4141ff g,#5553fdff ``` ```image e ff ac a ea ca af ae a ea ff ac ae ea ca af ae a ea fa ac ae ea ca ff ae a ea fa ac ae a ca ff ac a ea ca af ae a ea ff ac ae ea d ca gb cae bg ac gb gb aa gbg bg cae dbg gb eac dbb dbg aa dbb bb ca dbb dbg eac bb bb aa bbd dbg fa bbd bb eac gbd dbd af gbg bb fa gbg dbd eagbg bb dbbf dbd dbb fa bb dbb eae gbd bb af bb bbd fa gbd bbd cae bb bbd af gbd gbg aa bg gbg cae gbgbg af g aa cae eac aa cae eac aa fa ea ```

This image seems promising for intersection detection. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#f86460ff b,#0202feff c,#afd5aeff d,#989bf8ff e,#fe0807ff f,#ffb3b3ff g,#4546faff ``` ```image f aeef e eea fe aee e aee fe feef e eea fe eea e aee fe fee ef feef e eea ef aea e aee ef feef e feef ef eea e aea ea aee e feef aa fee e aa e aa e aa e ae e fe e fe e fe e fe ef e ef e ef e ef e ea e aa e aa e aa e aa e ae e fe e ccccccccccaecc cccccccccceccc cccccccccceccc cccccccccecccc cccccccccecccc dgd cccccccceccccc dbbdgbbbbgd cccccccceccccc gbg dgbbbbgd cccccccecccccc bbd dgbbbbgd cccccccecccccc dbbd dgbbbbgd cccccceacccccc gbb dgbbbbgd cccccceccccccc gbg dgbbbbgd ccccceaccccccc bbd dgbbbbgd cccccecccccccc dbbd dg cccceacccccccc gbg cccceccccccccc bbg ccceaccccccccdbbd cccacccccccgbb cccccccccgbgcc cccccccbbgcccc ccccdbbdcccccc cccbbccccccccc cccccccccccccc cccccccccccccc ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#ff3838ff b,#0808ffff c,#ff7777ff d,#acacffff e,#ff0404ff f,#ffbbbbff g,#5a5affff ``` ```image fee aec fee aec fee aec fee aec feef cea feef cea eef cea eef cea eef cea eef cea eef cea eec fee aec fee aec fee aec fee aec fee db cc gbbb dgbbbbd dgbbbgd dbbbbgd gbbbbg dgbbbbd dgbbbgd dbbbbgd dbbbg gd ```  Based on this close-up, I can conclude that there's no intersection in area A. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff3e3eff b,#0202ffff c,#ff8282ff d,#9d9dffff e,#ff0404ff f,#ffc6c6ff g,#4545ffff ``` ```image f ceec e aec ce aea e cee fe feef e feec fe aea ef aea fe ceef ef feef fe eec ef aea e cee ef ceef e feec ec eec e aea ac cee e feef ac fee e aa e ca e ca e ca e ce e fe e fe ef fe ef fe ef e ef e ec e ac e ac e aa e ca e ca e ca e ce e fe e fe ef fe dgd ef dbbdgbbbbgd fe gbg dgbbbbgd ef bbd dgbbbbgd e dbbd dgbbbbgd ef gbb dgbbbbgd e gbg dgbbbbgd ec dbbd dgbbbbgd e dbbd dg ac gbg e bbg ac dbbd c dbb gbg bbd dbbd bb ```

Let's examine this image for potential line intersections. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fc0909ff b,#0b0bfcff c,#ee5f59ff d,#767eedff e,#9ac498ff f,#b0d6b1ff g,#feababff ``` ```image d db b b bf bd bd bb db fb b b bd ga bd aga bb cc ca db a ac db cc ag b a a b ag ga bf a ca bd ag ag bd a a bb ag a db ga caeeeeeeeeeeeedb a eaafffffffffffbe ga efacfffffffffbef a effaffffffffbdff ca effeaffffffbdfff a efffcaffffbbffff cc effffacffdbfffff a efffffaedbffffff ac effffffabfffffff a effffffbafffffff ag efffffbecaffffff a effffbdffacfffff ag efffbbffffaeffff ga effbbfffffeaffff a efdbfffffffcafff ga edbfffffffffaaff a ebfffffffffffacf ca beffffffffffffae a bd ga cc bd ca a bb ac ac db ag a db a ag b ga a b ca efffffffffffaefe b ag fffffffffffeaffe bd a fffffffffffaeffe dbbd a ffffffffffcafffe dbbd ga ffffffffffaffffe dbbd ac fffffffffcaffffe bbbd ag fffffffffafffffe bbbd a ffffffffcafffebbbd ga ffffffffafebbbde ca fffffffcbbbdfffe ac ffffdbbbdffffffe ag fdbbbdacfffffffe a dbbbefffaffffffffe ga bbbffffffacffffffffe ca ffffeafffffffffe ag ffffaefffffffffe a fffeaffffffffffe a fffafffffffffffe ga ffcafffffffffffe ac ffaffffffffffffe a ecaeeeeeeeeeeeef a cc a ac a ag a ag ga a ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0807feff c,#ff8282ff d,#665cf5ff e,#f83c43ff f,#bbb9fdff g,#ffc3c3ff ``` ```image aag cae gaag eae gaag eae gaag eac gaa eac caa aac caa aac cae aag f cae fdbb gaag fdbbbbb eae fdbbbbbdf gaafdbbbbbdf edbbbbbdf fdbbbbbdf fdbbbbbdf fdbbbbbdea fdbbbbbdf aac fdbbbbbdf caa bbbbdf aac bdf cae aag cae gaag eae gaag eae gaag eac gaa eac caa aac caa aag ```  My investigation has led me to an intersection in area A! Hmm, interesting. Let's check out another area. This is a magnified view of the region B.  ```palette Key,Color ,#fefefeff a,#fd0506ff b,#0807fdff c,#fd7d7fff d,#5353ffff e,#ff3b3bff f,#b2b1feff g,#fec6c7ff ``` ```image caag fbb eaa fbbd eae bbd gaac dbb gaag dbb caag dbbf eae fbbf aae fbbf gaac fbbd caag bbd caag bbd eae dbb gaac dbbf gaac dbbf caag fbbf eaafbbd eabbd gbbb dbbag dbbcaag dbbf eae fbbf aae fbbf gaac fbbd caag bbd caag bbd eae dbb gaac dbbf gaac dbbf caag fbbf eaa fbbd eae fbbd gaac bbd gaag dbb caag ```  The evidence is clear: this is an intersection in area B. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#fe0404ff b,#0909feff c,#ff7b7bff d,#6767ffff e,#fd3739ff f,#bbbbffff g,#ffc9c9ff ``` ```image d fb fb b bf bd bd db db fb b bf bf ca bd aga bb ce ca db a ac fb ec ag fb a a b ac ga bf a ee bd ag ac bd ga ag db ag ga db ga ca fb a ee b ca ag bf a a bf ce ga bd a ca bb ee ac db a agfb ec ab a ba ac bfee ga bd ac ag bd ag ga db ga ag db ca ca fb ee a b ag ce bf a a bf ga ee bd ca a bb ac ec db ag a fb a ac fb ga a b ee ag bf ac ga bd ag ag dbbd ga ga dbbd ca a dbbd ee ca dbbd ag a bbbd a ce fbbbf ga a fbbbf ca ebbbf ac fbbbf ag fbbbfec a fbbbf a ga bbbf ag ee ga ac ag ag ga ga a ca ca ee a a ce a ee a ec a ac ga ag ga ag ```

I'm examining this image closely. My goal: find any and all intersections. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fe0908ff b,#5c5efbff c,#0808feff d,#f45e59ff e,#acadfdff f,#ffb8b8ff g,#acd4acff ``` ```image f da aa aa ad ad af gggggggggggggggg faf gggggggggggggggg fa gggggggggggggggg da gggggggggggggggg da ggadgggggggggggg aa gggaaggggggggggg ad ggggdagggggggggg ad gggggdaggggggggg af gggggggadggggggg af ggggggggaagggggg fa ggbggggggdaggggg da ggbcggggggdagggg da gggcggggggggadgg aa gggecggggggggaag aa ggggcbggggggggda ad gggggcgggggggggdaf ad gggggbcggggggggg ad af c aa faf ec da fa ce faf da c ad da bb aa aa c da ad ec faf ad ce ad af c aa af cb da fa c faf fa ec ad da ce aa aa c da aa cb faf ad c aad bc f c ec ce c bc c ec ce c bb c ec ce c bb c ec ce c bb c ec ce c cb c bc c c cb c bc c ec ce c bcbbbeeee eebbbbccccccccccccccccccccbbbbbeeee eeeebbbbccccccccccc ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#ff0202ff b,#6767ffff c,#0909ffff d,#ff7575ff e,#ff3333ff f,#ffbbbbff g,#bdbdffff ``` ```image df faad daae faaef feaaf eaad daae faaef feaaf eaad daae faaef feaaf bb eaad gccg daae bcc faaef ccg feaaf bcc eaad ccb daae gccg faaef bcb feaa ccg ea bcc d ccb gccg ```  I had hoped to find an intersection in area A, but there isn't one. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#ff0909ff b,#4b4bffff c,#0606ffff d,#ff5e5eff e,#8a8affff f,#ffbbbbff g,#c9c9ffff ``` ```image d da aa aa ad ad af faf fa da da ad aa aa ad da ad faf af ad faf aa fa b da da bb faf da c ad aa gc aa aa ce da ad c faf ad bb ad af c aa faf gc da fa cg faf da c ad da bb aa aa c da ad ec faf ad cg ad af c aa af bb da fa c faf fa ec ad da cg aa aa gc da aa ce faf ad c aad ec f cg gc ce c bb c gc ce c bb c gc cg c bb c ec cg c bb c ec cg gc ce c ec cg gc ce c ec c gc ce c bcbeeeeggg eeebbbbcccccccccccccccccccbbbeeeeggg gggeeebbbbcccccccccc ```

The hunt for intersections begins! Let's analyze this image closely. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#0909fdff b,#fd0505ff c,#6468f6ff d,#f6908cff e,#d6c8f1ff f,#add4adff g,#f34243ff ``` ```image e ac a ac a ac a ac a ac a ac a cc a cc a cc a cc a cc a cc a ddgbbbb cc edgbbbbbbgdd a ddgbbbbbbgde cc edgbbbbbbgdd a ddgbbbbbbgde cc ebbbgdd a b cc bd a db ca b a be ca gg ffaffffffffffffb ffcaffffffffffbf fffafffffffffbgf fffcafffffffdbff ffffafffffffbfff ffffcafffffbdfff fffffaffffgbffff fffffcafffbfffff ffffffaffbffffff ffffffcabgffffff fffffffabfffffff fffffffgafffffff ffffffbdafffffff fffffgbfcaffffff fffffbfffaffffff ffffbffffcafffff fffbgfffffafffff ffdbffffffcaffff ffbffffffffaffff fbdffffffffcafff gbffffffffffafff bfffffffffffcaff bfffffffffffffaff bg ea db a b ea bd ae gb ea b ae be ea gg ae db ea b ae bd ea db ae b eaace be ccaaaace gg ecaaaaace db ecaaaaace b ecaaaaace bd ecaaaaace db ecaaaacc b ecaaaac be c ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#0403feff b,#fe0404ff c,#9291fdff d,#fec0c1ff e,#fa3136ff f,#2222feff g,#fa7378ff ``` ```image caf aac g caf db aac eb caf gbb aac dbbd caf bbg aac ebe caf gbbd aac dbbg caf ebe aac gbb caf dbbd aac bbg caf ebe fac gbbd caf dbbg fac ebe caf gbb fac dbbd caf bbg fagbe caabd daac eeaf gbbfac dbbdcaf bbg fac ebe caf dbbd fac dbbg caf ebe fac gbb caa dbbd fac ebg caa gbe fac dbbd caa dbbg fac ebe caa gbbd fac dbbd caa ebg fac gbe caa dbbd fac bbg caa be fac ```  My analysis confirms the presence of an intersection in area A. One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#0303feff b,#fe0606ff c,#7373ffff d,#ffb0b0ff e,#bbbbffff f,#3838ffff g,#fb5558ff ``` ```image e fc a fc a fc a fc a fc a fc a fc a fc a fc a fc a fc a cf a dggbbbb cf ddgbbbbbbggd a dggbbbbbbgdd cf ddgbbbbbbggd a dggbbbbbbgdd cf dbbbbgd a b cf bg a db cf b a bd cf gg a db cf b a bg cf db a b cf bd a gb cf db a b cabg ab ga bda gb ea b a b ea bg a db ea b a bd ea gb a b ea b a bg ea db a b ea bd a gb ea b a bd ea bg ae db ea b ae bd ea gb ae b eaafe bd cfaaaace gg cfaaaace db ecfaaaace b ecaaaafce bd ecaaaafc gb ecaaaafc b efaaaaf bd e ```

I'm analyzing this image to identify any points where lines intersect. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#0506feff b,#fd0808ff c,#979af9ff d,#ea6760ff e,#4247f4ff f,#96c698ff g,#b2d6b1ff ``` ```image c ac a ac a a ca a ce a ec a ac a a gffaffffffffffff a fggagggggggggggg ac fggcaggggggggggg d ca fgggaggggggggggg gbbbbbd a fgggeegggggggggg gbbbg bb ac fggggagggggggggg gbbbg bb ca fggggeeggggggggg dbbb gbb a fgggggagggggggggdbbb dbd ac fgggggacgggggdbbd dbd ea fggggggaggdbbdgg bbg ffffffffffffffag fggggggabbdggggg bb gggggggggggggaff fgggdbbdaggggggg bb ggggggggggggeagf fdbbdgggaggggggg gbb ggggggggggggaggf dbbdggggggcagggggg dbd gggggggggggafggf bbd fggggggggagggggg dbdggggggggggeegggf fggggggggeeggggg bbdggggggggaggggf fgggggggggaggggg fbbfgggggafggggf fgggggggggeegggg ggfbbgggeegggggf fggggggggggagggg ggggdbbfaggggggf fggggggggggacggg ggggggdadggggggf fgggggggggggaggg ggggggeedbdggggf gfffffffffffafff gggggfagggbbdggf ca gggggaggggggbbgf a ggggaegggggggfbb ca gggfaggggggggggdbb a gggagggggggggggf dbd ee ggaegggggggggggf db a gcaggggggggggggf ec gagggggggggggggf a aegggggggggggggf ac caffffffffffffffg a a a ac ca ca a a ca ac a ca ee a a ac ec ca a a ac ac a ca a a ca ac a ca ca a a ac ee ea a a ec ac a ee ac a a a a ee ca a a a ce ee a a ee a a ee ec a a a aae a ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fe090aff c,#7979ffff d,#fc6567ff e,#3e35f6ff f,#b3b3ffff g,#fdb9bbff ``` ```image faa eac faa eac faa aaf cae aaf cae aaf eac faa eac faa eac faa gdb aaf gdbbbb cae gdbbbbbdg aaf gdbbbbbdg caegdbbbbbdg gaabbbbdg gdbbeaedg gdbbbbbdaa gdbbbbbdg eac gdbbbbbdg faa dbbbbbdg eac bbbdg faa dg aaf cae aaf cae aaf eac faa eac faa eac faa aaf cae aaf cae ```  Wow! I can see an intersection so clearly in area A! Okay, let's proceed to the next area. Let's take a closer look at area B.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fe0808ff c,#7575ffff d,#f14653ff e,#3735fcff f,#bebefeff g,#ff9e9eff ``` ```image faa aac cae faaf aac cae faaf aac eae faaf aac g eae bbg faaf bbbbg aac gbbbdg eae gbbbd faaf dbbbd aac dbbbg eae gdbbbg caaf gbbbbgfaac gbbbeae gdaad faadbbd eae dbbbg caa gdbbbg faaf gbbbbg eae gbbbdg caa gbbbd faaf dbbbd eae dbb caa gd faaf eac caa faaf eac caa faaf eac cae faaf aac ```  The evidence is clear: this is an intersection in area B. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0809ff c,#8484ffff d,#fc6568ff e,#4141ffff f,#c6c6feff g,#ffbfbfff ``` ```image f ac a af fa a ca a ce a ec a ac a af fa a a ac ca gd ca a gbbbbbg a ce gbbbg bbg af a gbbbg gbb ca ec gbbbg gbb a a dbbbg dbd af ac dbbd dbd ca a dbbd bbg a abbd bbg af dbbda gbb ee dbbd a gbb a dbbd ca dbd af bbd a dbd ee ce bbg a a bbg af ec gbb ee a gbbfa af dad a eedbd af fa bbg fa a bbg a ee gbb ca fa gbb a a dbd ce ee db a fa ec a a ac af fa a a af ac fa fa a a ca ac a ca ce a a ac ec ca a a af ac a ca af a fa af a ca ce a a af ee ca a a ec af a ee af a a af af ee fa a a af ce ee a fa ee af a ee ec fa a a aae fa ```

I'm examining this image closely. My goal: find any and all intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#0809fdff b,#fb0b0aff c,#a0a4f7ff d,#b2d7b1ff e,#e67166ff f,#a0cca0ff g,#5459efff ``` ```image c a ac a a ca a ga a gg a ac a ac ca a ca a gg a ac a ac ca a eb ffffffffffffffffffgaffffffff dbb fdddddddddddddddddaddddddddfbb fddddddddddddddddggdddddddbbd fddddddddddddddddaddddddebef fdddddddddddddddagddddebbddf fdddddddddddddddadddfbbddddf fddddddddddddddacddbbfdddddf fdddddddddddddfadbbedddddddf fdddddddddddddaebedddddddddf fddddddddddddgabdddddddddddf fdddddddddddbafddddddddddddf fdddddddddbbgadddddddddddddf fdddddddebedaddddddddddddddf fdddddebbddagddddddddddddddf fdddfbbddddadddddddddddddddf fddbbfddddagdddddddddddddddf fbbedddddfaddddddddddddddddf ebedddddddafddddddddddddddddf bbfdddddddcadddddddddddddddddf bb fdddddddaddddddddddddddddddf bbd fffffffgafffffffffffffffffff ebe a dbb gg bb a ag bd ac aa eb a ga eb ac ca bb ca ac be a ag ffffffffffffffff be ca aa fddddddddddddddf db a aafddddddddddddddfeb gg gaddddddddddddddbb a fafdddddddddddbb ac fdagdddddddddbef a fddagddddddfbedf ac fdddaaddddebdddf ca fddddgaddbbddddf a fdddddgabbdddddf ca fddddddbacdddddf a fdddddbedagddddf gg fdddebfdddaadddf a fddebddddddaaddf ag fdbbddddddddgadf a fbbddddddddddcaf ac bedddddddddddddac ca beddddddddddddddfag a eb fddddddddddddddf aa ca eb fddddddddddddddf ga a bb ffffffffffffffff ca gg be ac a be ag gg db aa a eb aaac e ga ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#0908fdff b,#fe0304ff c,#5c5cfeff d,#ffc0c0ff e,#fd7a7cff f,#b8b8ffff g,#fb3235ff ``` ```image c ac g aac dbb faaaf dbbg faaaf ebbg caaf ebbe caac gbbe caac dgbbd faaa dbbgd faaaf ebbg aaaf ebbe caac gbbe caac gbbd faacgbbd faaag ebaaaf ebbecaaf gbbe caac dgbbd caac dbbgd faaa ebbg faaaf ebbe aaaf gbbe caac gbbd caac dbbbd faac dbbg faaaf ebbg faaa bbe ca be c d ```  Gotcha! I've found the intersection hiding in area A! Let's move forward and inspect another region. I'm determined to find out if an intersection exists in area B.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#fe0505ff c,#aeacfdff d,#fecdcdff e,#f63d45ff f,#fd8889ff g,#5752f9ff ``` ```image caa aag caa aac gaa aac fb gag debb caac debbbf gag debbbf caa fbbbed aag fbbbed caa debbbf aac debbbf gaa fbbbf aac fbbbed gag debbed caac debbbf gag ebbbf caafbbbed aagbbed caabbf deaaef fbeaad fbbbaac debbegag debbbfcaac fbbbf gag fbbbed caa fbbbed gag debbbf caa debbbf aac fbbbed caa fbbbed aac debbed gag debbbf aac fbbbf gag bbbed caac bed gag f caa aag caa aac ```  As I suspected, there's an intersection within area B. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe090aff c,#8483fdff d,#ffb5b5ff e,#fd6163ff f,#c4c4ffff g,#403ffeff ``` ```image c a ac fa af fa a cg a gg a ac a af fa a ca a gg a ac a af fa a eb ca dbb a bb gg bbd a ebe gc dbe a bb af bbd fa ebd aebe cab ba bbgg ebe a dbb gc bb a bbd ac ebd fa ebe af dbb fa bb a bbd cg ebe a dbb gg bb a ag dbd ac aa db a ga eb af ca bb fa faf be a ac bd ca ag dbd a ga eb gg ca bb a faf bb ac ac be a ag dbd af aa db fa ga eb a cabb ca baf a bd ac gg dbd ag a eb ga gc bb ca a bb faf af be ac fa dbd ag af db aa ca eb ga a bb ca cg be faf a bd ac gc dbd ag a eb gaac e ca ```

This image might have some surprises. Let's look for intersections carefully. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#4244eeff b,#f0726bff c,#ededefff d,#aed5aeff e,#8d95edff f,#0505fdff g,#fc0d0cff ``` ```image c efc fcf ef ef fc af cf fa fc fe g cf fc bg fe cf g f ef gb ae aa cg f fe gc aa fc bg f cf g ea ef gb f af cg ef fa gc fc fe bg cf fc ddddddddddddddddg fc cf cdddddddddddddddgb cf ef cdddddddddddddddg fe aa cddddddddddddddgd f fecdddddddddddddbgd ae fcdddddddddddddgdd f cfddddddddddddgbdd aa efdddddddddddgddd f cafdddddddddgdddd ea cdfadddddddbgdddd f cddfeddddddgddddd ef cdddfdddddgbddddd fc cddddfddddgdddddd cf cddddefddgbdddddd fc cdddddafbgddddddd cf cddddddfadddddddd fe cddddddgfeddddddd f cddddddgdfddddddd fe cdddddgbdefdddddd f cddddbgdddafddddd aa cddddgdddddfadddd ccccccccccccccf cdddbgddddddfeddd ddddddddddddddaac cdddgddddddddfddd ddddddddddddddfdc cddgbdddddddddfdd dddddddddddddefdc cddgddddddddddefd dddddddddddddfddc cdgddddddddddddaf c ddddddddddddefddc cbgdddddddddddddfa gb ddddddddddddfdddc cgdddddddddddddddfe gbddddddddddddfdddc gbddddddddddddddd fc ggddddddddddfedddc cgdddddddddddddddd cf ggdddddddddfddddc gcdddddddddddddddd ef dggdddddddfeddddc bgcdddddddddddddddd aa ddggddddddfdddddc g ccccccccccccccc fe dddggddddaadddddc gb fc ddddggdddfddddddc cg cf dddddbgdaaddddddc gc ef ddddddbgfdddddddc bg e dddddddafdddddddc g dddddddfbgddddddc gb ddddddefdbgdddddc cg ddddddfdddbgddddc gc ddddddfdddddgdddc bg dddddfeddddddgddc g dddddfddddddddgdc gb ddddfedddddddddgc cg ddddfdddddddddddgc gc dddaadddddddddddcgd bg dddfddddddddddddc gb g ddaaddddddddddddc gb bb ddfdddddddddddddc gb g daadddddddddddddc gb gb dfddddddddddddddc gb cg efddddddddddddddc gb gc fccccccccccccccc gg bg cf gg g fc gg gb cf gg cg fe bg gc f bg bg ae bg g e bggb bg ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#4442fdff b,#fb484cff c,#c0c0feff d,#febebfff e,#817efcff f,#0605feff g,#fe0a0aff ``` ```image cff efa ffc efa ffc eff ffe cff afe cff afe cff afa cffc efa b ffc gb efa ggg ffc dggg efa gggd ffe gggd cff bggd afe bggd cff bggd afe bggd cff bggd afa bggd cffc bggd efa bggd ffc bggafa bgffc effb ffbgb effdggb afe dggb cff dggb afe dggb cff dggb afe dggb cffc dggb afa dggb ffc dggg efa dgggd ffc gggd efa ggg ffc bg eff b ffe cff afe cff afe cffc afa cffc efa ffc efa ffc eff ffe cff ```  There is an intersection point visible in this close-up of area A. Okay, on to the next area of interest. Let's get to the bottom of what's happening inside area B.  ```palette Key,Color ,#fefefeff a,#5852f9ff b,#fb4347ff c,#b4b3feff d,#ffc9c9ff e,#ff8b8bff f,#0808feff g,#fe0505ff ``` ```image d b dg bg egg gge c bgb f dggd fa bgb ffa egg cffc gge cffc bgb affc dggd aff bgb ffa egg cffa gge cffc egb affc dggd aff bgb ffa eggd ffa gge cffc egg cffc dggd affc bgb aff dggd ffagge cffag cffa bbffc dggaff gge aff egg ffa dgge cffa bgb cffc dggd affc bge aff egg ffa gge cffa bgb cffc dggd cffc bgb aff egg aff gge ffa bgb cffa dggd cff bgb af egg a gge egb dggd bgb eggd gge gg gd b d ```  Success! This area contains an intersection point! After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#4542fcff b,#ff5252ff c,#c9c9ffff d,#feaaaaff e,#8b89fdff f,#0505feff g,#ff0808ff ``` ```image c efc fcf cf ef f af cf fa fc fc g f f bb fe cf g f ef gd ae aa dg f fe g aa fc bg f f g ea cf gd f af g ef fa g f fc bg cf f g fc cf gb f ef g fc aa gd f fe dg ae fc g f f bb aa cf g f af gd ea fa dg f fe g ef fc bb f cf g cf ef gd fc afdg cf fa fc bfc f g f fe gd cf f dg ef ae g aa f bb fe ea g fc f gd f ef dg ef f g af cf bg fa gb fc g fc gb cf gd f gb fc g cf gg f g ef gg fe bg aa bg f g fe bg ae gb fc bg f g f bg aa gd cf bgf dg e ef g fdg bb cf dg g f dg gd cf dg dg fc g g f g bb fe gd g f gd gd ae gd dg f gd g aa gd bb f gb g ea gb gd f gb dg ef gb g f gb bb cf gg g fc gg gd f bg dg fc bg g f bg bg ae bg g e bggd dg ```

This is the image I'm working with. The goal is to count the intersections. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#3d42f4ff b,#fc0706ff c,#e18f81ff d,#0708feff e,#7984e9ff f,#ef4746ff g,#b0d6b0ff ``` ```image ggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggfdeggggggggggggggggg ggggggggggggggggggggcdcdegggggggggggggggg ggggggggggggggggggggbdgbdeggggggggggggggg gggggggggggggggggggbdgggbdegggggggggggggg ggggggggggggggggggbfdgggffdeggggggggggggg gggggggggggggggggcbdeggggbgdegggggggggggg gggggggggggggggggbgdgggggcbgdeggggggggggg ggggggggggggggggbcaeggggggbcgdegggggggggg gggggggggggggggbfgdggggggggbggdaggggggggg ggggggggggggggcbgaaggggggggfbggdagggggggg ggggggggggggggbggdggggggggggbgggdaggggggg gggggggggggggbcgedgggggggggggbgggdagggggg ggggggggggggbfggdggggggggggggbfgggdaggggg gggggggggggcbggedgggggggggggggbggggdagggg gggggggggggbgggdggggggggggggggcbggggdaggg ggggggggggbcgggdgggggggggggggggbcggggdagg gggggggggbfgggdeggggggggggggggggbgggggdag ggggggggcbggggdgggggggggggggggggffgggggda ggggggggbggggaeggggggggggggggggggbggggggda gggggggbcggggdgggggggggggggggggggcbggggggda ggggggbfggggaaggggggggggggggggggggbcggggg da gggggcbgggggdggggggggggggggggggggggbggggg da gggggbgggggedggggggggggggggggggggggfbgggg da ggggbcgggggdggggggggggggggggggggggggbgggg da gggbfgggggedgggggggggggggggggggggggggbggg da ggcbggggggdggggggggggggggggggggggggggbfgg da ggbgggggggdgggggggggggggggggggggggggggbgg dd gbcggggggdegggggggggggggggggggggggggggcbg dd bfgggggggdgggggggggggggggggggggggggggggbc ad cbgggggggaaggggggggggggggggggggggggggggggb ad b d ff ad b ea b ad bf d gb ad cb ed bc ad b d b ad b d cb ad bf d b ad cb d b ad b de ff ad b d b ad bf ae cb ad cb d bc ad b ea b ed b d ff e bf ed b cb d b b d bc b d b d cb de b d b ae ff d b ea cb d bc ed b d ff d b d b d bc de b d cb ae b d b ea ff d b ed cb d bc d b d ff d b de d ae d ea d ed d ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#584bf1ff b,#fe0708ff c,#fe9191ff d,#0404feff e,#9b9bfeff f,#fd4a4cff g,#fdcbcdff ``` ```image gg gdde addde fddddde cfddcadde gbdde fadde fbdd gbadde fbada fbadde cbbdd bbadde gbbada cbbadde fbfdde fbfedde fbbada gbbcedde cbbgdde cbb edde gbbcedd bbc edde fbf dde gbbg edde fbb edd fbf edde cbbg ade gbbc edde gbbc edd cbb edde fbf ada fbf edde fbb dd gbbg edda cbbg ada fbb edda gbbc dde bbc edda fbf eda cbbg edda fbb dde fbf edda cbbg edd gbbc edda gbbc dde cbb edda bbf edd bbc edda fbb ade gbbg edda cbbg edd fbf edda gbbc ada gbbc edda bbf dd cbb edda fbb ada fbf edda cbbg dde gbbg edda gbbc eda fbb edda bbf dde bbc edda fbb edd cbbg edda cbbg dde fbf edd gbbc edd gbbc ed bbf ade cbb e fbb edd bbf cbbg ada gbbg gbbc dd fbf bbf ada bbc fbb dde cbb cbbg eda fbf gbbc dde gbbg bbf edd cbb fbb dde bbc cbbg edd cbbg gbbc ade fbf bbf edd gbbc fbb ada cbb cbbg dd bbf gbbc ada gbbg bbf dde fbf fbb eda bbc cbbg dde cbbg gbbc edd fbf bbf dde gbb bb edd cb bg ade b ```  There is an intersection point visible in this close-up of area A. I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#4343ffff b,#fe0708ff c,#fe9495ff d,#0808feff e,#8888feff f,#fb4c50ff g,#f0d1e0ff ``` ```image g fde cdcde bd bde bdg bde ffd ffde cbde b de b d cb de bgae bc de bf d b de cb aa fb de b d bg de bg ed gb de bf d bf da cb gd b da b dg cb da bg d bg da bf de b da cb d ff da b ae b da bg d gb da bf ea bc da cb d b da b ed fb da bg d bg da bf gd gb da cb dg bf da b d b dd bg de cb dd bf d bc ad cb ae b ad b d ff ad bg ea b ad bf d gb ad cb ed bc ad gb d b ad bg gd cb ad bf dg bg ad cb d gb ad gb de ff ad bg d b ad bf ae cb ad cb d bc ad gb ea b ad bg d ff e bf ed b cb d gb gb gd bc bg dg b d cb de bg d gb ae ff d b ea cb d bc ed b d ff gd bg dg gb d bc de b d cb ae bg d gb ea ff d b ed cb d bc gd b dg ff d b de d ae d ea d ed d ```

This image looks interesting. I wonder if there are any intersections hidden in there? I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#0505fcff b,#fa0808ff c,#7d8ddeff d,#d76757ff e,#3c40e9ff f,#99c796ff g,#b1d7b1ff ``` ```image c a ac a a ca a d ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeafdb ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaggbf gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggeegbfg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggagbdgg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggacbdggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggadbgggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggadbggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcabgggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggabggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcadggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggadgggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggeeggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdagggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfacgggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbaggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbacggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdagggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbaggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbcaggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggfbgagggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgeegggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbfgaggggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdgaeggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbggagggggggggggggggg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbggacgggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbggfaggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgggagggggggggggggggggg acggggggggggggggggggggggggggggggggggggggggggggggggggggggbfggcagggggggggggggggggg agggggggggggggggggggggggggggggggggggggggggggggggggggggbdgggaggggggggggggggggggg cagggggggggggggggggggggggggggggggggggggggggggggggggggbdgggeeggggggggggggggggggg geagggggggggggggggggggggggggggggggggggggggggggggggggdbggggagggggggggggggggggggg ggaegggggggggggggggggggggggggggggggggggggggggggggggdbggggeegggggggggggggggggggg gggafgggggggggggggggggggggggggggggggggggggggggggggfbgggggaggggggggggggggggggggg ggggagggggggggggggggggggggggggggggggggggggggggggggbgggggacggggggggggggggggggggg ggggcagggggggggggggggggggggggggggggggggggggggggggbfggggfagggggggggggggggggggggg gggggeegggggggggggggggggggggggggggggggggggggggggbdgggggafgggggggggggggggggggggg ggggggacgggggggggggggggggggggggggggggggggggggggbbgggggcaggggggggggggggggggggggg gggggggaggggggggggggggggggggggggggggggggggggggdbggggggagggggggggggggggggggggggg ggggggggaggggggggggggggggggggggggggggggggggggfbggggggeegggggggggggggggggggggggg bbfggggggcagggggggggggggggggggggggggggggggggggbgggggggaggggggggggggggggggggggggg dbbbfggggaegggggggggggggggggggggggggggggggggbfggggggeeggggggggggggggggggggggggg gggdbbbfggacgggggggggggggggggggggggggggggggbdgggggggagggggggggggggggggggggggggg ggggggdbbbfaggggggggggggggggggggggggggggggbbgggggggacgggggggggggggggggggggggggg gggggggggdbbaggggggggggggggggggggggggggggdbggggggggaggggggggggggggggggggggggggg ggggggggggggeabbggggggggggggggggggggggggdbggggggggacggggggggggggggggggggggggggg gggggggggggggaedbbdgggggggggggggggggggggbggggggggcagggggggggggggggggggggggggggg ggggggggggggggacggdbbdgggggggggggggggggbfggggggggaggggggggggggggggggggggggggggg gggggggggggggggagggggdbbdgggggggggggggbdggggggggcaggggggggggggggggggggggggggggg gggggggggggggggcagggggggdbbdgggggggggbdgggggggggagggggggggggggggggggggggggggggg ggggggggggggggggeagggggggggdbbdgggggdbgggggggggeegggggggggggggggggggggggggggggg gggggggggggggggggaegggggggggggdbbdgdbggggggggggaggggggggggggggggggggggggggggggg ggggggggggggggggggacgggggggggggggdbbggggggggggacggggggggggggggggggggggggggggggg gggggggggggggggggggaggggggggggggggggggggggggggagggggggggggggggggggggggggggggggg fffffffffffffffffffcaffffffffffffffffffffffffacffffffffffffffffffffffffffffffff ee ga ac a a ca a a ca ee ee a ac ec a a a ac ca a ae a ac ca a a a ce ea a ae ec ag a aac ca ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0504fdff b,#fe0708ff c,#9493feff d,#fb5053ff e,#443bf5ff f,#e8d4ebff g,#fd9c9dff ``` ```image ac g aa fb ae bd faf db caf bbg ea gbg aacbb ae bb facdbf fagbb eabbg aed cabf cabg aag aa eef daf daa faac fbaa bee gbaf fbbaa bbdae bdcaf dbfca bb aa fbd aac bb ae dbb faf gbg caf gbg ea fbd ac db ce dbf fac gbg faa fbd eae c dbb ac af bbf ca ae gbg ca aac bb aa caa fbd ae ea dbf ee ae dbb faf cac gbg aa caf fbd ac ae bb ca faa dbf ca cac gbg faa ae bbd aaf aa fbd ae fac db caf aa bb ca ea gbg aa g cac bb fac bbdf aaf bd ee dbbbdf eaa dbf faf dbbbbf fac gbb caa dbbbbf cac bbg eac gbbbdgea bd ac gbbbdae db ce gdbbaef bb fac eaabbg gbg aa eadbbbd fbb ae fac fgbbbd bb ec aa fgbbbdg dbf ca ee fgbbbdg bb caa fae dbbbbg fbd aac aac dbbbbg fbd ae eaf gbbbbd dbb ee ee gdbbbd bbf faf aa gdbbbdbg aa caf gdbbb ac ea dd ca aa ca ```  Yes! I knew it! There's an intersection right here in area A! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#0504feff b,#fd0809ff c,#8989feff d,#fc5d5fff e,#423df9ff f,#cacaffff g,#fdaeb0ff ``` ```image c a ac fa af ca a g ce gb a b ee bg a bg acbd fadb agb fab ab cag ad ee ga gac ba baf bda bba dbca gb a b ee bg a bg ec bd a db af gb fa b af af b ca a bg a fa bd ce ea db a ac gb ec af gb a a b ac ca bg fa ee bd af ac bb ca af db a fa gb ce bbg ca b a gbbbg ee bg ee gbbbg ac bd a gbbb a bd ac gbba db fa eabd gb af aegbbd b fa af dbbd b a a dbbd bg ca fa dbbd bd a ea dbbd db ee ac dbbd gb a af dbb ac a a ca af ee fa ac a af ca fa a ca ee ee a ac ec a a fa af ca fa ae af af ca a a fa ce ea a ae ec af a aac fa ```

Let's examine this image for potential line intersections. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fd0607ff b,#0505fdff c,#9ba1f2ff d,#f4a29dff e,#f24c49ff f,#4f4eefff g,#afd6aeff ``` ```image d da a ad ee da a ad ae da a a ae ea a a ad ea da a ad ee da a ad ae da a a ae ea a a ad ea da a ad ee da a ad ae da a a ad ea da a ad ee da a ad ae da ea gggggggggggggggggggggggggggggg eaad gggggggggggggggggggggggggggggg daaad ggggggggggggggggggggggggggggdaaad gggggggggggggggggggggggggdaaad ggggggggggggggggggggggeaaadggg gggggggggggggggggggeaaeggggggg ggggggggggggggggeaaegggggggggg gggggggggggggeaaeggggggggggggg ggggggggggeaaegggggggggggggggg gggbbbfeaaeggggggggggggggggggg gggdaafbbbbbbfcggggggggggggggg gggadgggggggcfbbbbbbfcgggggggg gggggggggggggggggggcfbbbbbffgg ggggggggggggggggggggggggggcfbbbbbfc gggggggggggggggggggggggggggggg cfbbbbbfc gggggggggggggggggggggggggggggg cfbbbbfc gggggggggggggggggggggggggggggg cfbbbbbfc gggggggggggggggggggggggggggggg ccfbbbbfc gggggggggggggggggggggggggggggg cfbbbbbfc gggggggggggggggggggggggggggggg cfbbbbbfc gggggggggggggggggggggggggggggg cfbbbbfcc cfbbb ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fc070aff b,#0303feff c,#c1c1ffff d,#fc5c5fff e,#7b78fcff f,#4036f5ff g,#ffb1b1ff ``` ```image g gdaa gdaaaaa gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg gdaaaaadg ecc gdaaaaadg cbbbbbfeedaaaaadg cefbbbbbbbbbbfeecc gdaaaafffbbbbbbbbbffeec gaaaadg ceeffbbbbbbbbbffeec adg ceeffbbbbbbbbbffecc cceeffbbbbbbbbbfeecc cceefbbbbbbbbbbfeecc cceefbbbbbbbb cceefb ```  My analysis confirms the presence of an intersection in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#fe0405ff b,#0706feff c,#ababffff d,#ff8686ff e,#fc3d3fff f,#5c56f9ff g,#ffc4c4ff ``` ```image d ga a ad ee ga a ag ee da a ag ad da ga a ad ea ga a ag ee da a ag ae da a ag ad da ga a ad ee ga a ag ee da a ag ae da ga ag ad ea ga a ad ee ga a ag ee da ea geaad geaad gaaad gaaag daaeg daaeg daae eaae eaad bbbfeaad geafbbbbbbfc ag cfbbbbbffc cfbbbbbfcc cfbbbbbfc cfbbbbbfc cfbbbbfc cfbbbbbfc cfbbbbbfc cfbbbbbfc cfbbbbbfc cfbbbbbfc cfbbb ```

I'm curious to see if this image contains any intersection points. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0607feff b,#fd0a0aff c,#979cf6ff d,#f26f69ff e,#3c42f1ff f,#96c798ff g,#b2d7b2ff ``` ```image aa aeca ae ac ae a ea ca ea ac ea a ea ca ea ae ea a ca ca ca gfaeffffffffffffffffffffffffffffg ca fggaggggggggggggggggggggggggggggf ca fggfagggggggggggggggggggggggggggf ca fgggaeggggggggggggggggggggggggggf ca fggggaggggggggggggggggggggggggggf ca fggggfagggggggggggggggggggggggggf a fgggggeeggggggggggggggggggggggggf a fggggggaggggggggggggggggggggggggf a fggggggfagggggggggggggggggggggggf a fgggggggeeggggggggggggggggggggggf a fggggggggaggggggggggggggggggggggf a fggggggggfagggggggggggggggggggggf ac fgggggggggeeggggggggggggggggggggf ac fggggggggggafgggggggggggggggggggf ac fggggggggggfagggggggggggggggggggf ac fgggggggggggeeggggggggggggggggggf ac fggggggggggggafgggggggggggggggggf ac fgggggggggggggagggggggggggggggggf ac dddd fgggggggggggggeeggggggggggggggggf ae bddddbbbbbbbbbbbddddfafgggggggggggggggf ae db fggggggggfdddbbbabbbbbbbbdddfgggf ae b fgggggggggggggggeegggggfdddbbbbbbbbbbbb ae b fggggggggggggggggafgggggggggggggf g ae bd fgggggggggggggggggagggggggggggggf ae db fgggggggggggggggggeaggggggggggggf ea b fggggggggggggggggggafgggggggggggf c b fgggggggggggggggggggagggggggggggf bd fgggggggggggggggggggeaggggggggggf gb fggggggggggggggggggggacgggggggggf b fgggggggggggggggggggggagggggggggf bd fgggggggggggggggggggggeaggggggggf db fggggggggggggggggggggggacgggggggf b fgggggggggggggggggggggggagggggggf b fgggggggggggggggggggggggeaggggggf bd fggggggggggggggggggggggggacgggggf db fgggggggggggggggggggggggggagggggf b fgggggggggggggggggggggggggeaggggf b fggggggggggggggggggggggggggacgggf bd fgggggggggggggggggggggggggggagggf db fgggggggggggggggggggggggggggeaggf b gffffffffffffffffffffffffffffacfg bg a bb ca gb ac b a bd ca db ac b a b ca bd ac db a b ca b ac bd a db b bg db gb b bd db b b bd db b b ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fe0505ff c,#7a7afeff d,#fb5255ff e,#3734fcff f,#c2c2ffff g,#fda8a9ff ``` ```image eac faaf caa eac faaf caa eac faaf caa eae faaf caa eae faaf caa eae faaf caa eae faac caa eae faac caaf eae faac caaf eae faac caaf eae faac caaf eae aac caaf eae bbbbbdddddggggg aac bbbbbbbbbbbbbbbbbbbbddddggggg caaf ggggdddddbbbbbbbbbbbbbbbbbbeaedddddggggg gggggdddddbbbbaadbbbbbbbbbbbbbbddddggggg caagggddddbbbbbbbbbbbbbbbbbbbbbd eae gggggdddddbbbbbbb aac gg faaf eae aac faaf eae aac faaf cae aac faaf cae aac faaf cae aac faaf cae eac faaf cae eac faaf caa eac faaf caa eac faaf caa eac faaf caa eae faaf caa ```  I observe an intersection inside area A. The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#0404ffff b,#fe0808ff c,#8080ffff d,#ff6161ff e,#3838ffff f,#c8c8ffff g,#ffb7b7ff ``` ```image f aa aefa ae ac ee a ea fa ea ac ea a ea fa ea ec ca a ca fa ca ec ca a ca fa fa ee fa a fa fa fa ee fa a fa fa af ee af af af fa af ee af af af fa ac ee ac af ac fa ac dddgg ee ac bddddbbbbbbbbbbbddgggaf ae db ggddbbbabbbbbbbdddgg ae b ee ggdddbbbbbbbbbbb ae b af g ae bd a ee db ee ee b af f bg a bd ce gb af b a bg ce db af gb a b ca bd af db a b ca bg af bd a gb ca b af bg a dd ca gb ac b a bg ca db ac gb a b ca bd ac db a b ca bg ac bd a gb b bg db gb b bg db b b bd db b bg ```

This is the image I'm working with. The goal is to count the intersections. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0909ff c,#7f7fffff d,#ffa8a8ff e,#c3c3ffff f,#ff5b5bff g,#3c3cffff ``` ```image e caaac a caaac gc egaage a caaac ac caaac ea egaage ae caaac ea caaac a egaage cg caaac a caaae gg egaag a c ac a ae ea a cg a gg a ac a ae ea a ca a gg a gc a ae ea dbb a bbb ca fbbd a bbf gg fbbd a dbbf gc fbbd a dbbf ae bbb ea dbbd ae bbf ca fbbd a dbbf cg fbbd a dbbf gc bbb a dbbd ae bb ea dbd ae fb ea bb a bd cg fb a bb gc bf a dbd ac bb ea bf ae dbd ea fb a bb bd fb bb bf dbd bb bf dbd fb bb bd fb bb bf ```

The hunt for intersections begins! Let's analyze this image closely. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff4f4fff b,#4444ffff c,#ff0606ff d,#0404ffff e,#9090ffff f,#ffa1a1ff g,#ecd6e9ff ``` ```image e eddd gbddb eddde bddbg gbdde eddde gbddbg eddde edddg gbddb eddde bddbg bdde gde edg bd db de edg bd dd db gde ed bd db gde edg bd dd de gdg f bd cca dd ac cf db gc cf gde c cg edg cf cg bd ac gcg db fc gc de c gc edg cf fc bd aa fc e fc ac c ac cg ac ca ac fc ca gc ca cg ca ca cf ac cf gc cf c cg cf cg ac gc fc gc c fc cf fc aa fc fc ac c ac cg ac ca cc fc ca gc ca cg ca ca cf ac cf gc cf cg cg cf cg ac gc fc gc c fc cf fc aa fc fc ac c ac cf a ```

Here's an image. My task is to find intersections or areas where lines come close together. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#f34d48ff b,#6163f8ff c,#0708fdff d,#fe0505ff e,#f69591ff f,#aed4aeff g,#e8d1e8ff ``` ```image e d de gd dg ed d aa d de gd dg ed d aa d de gd dg ed d aa d de gd cg dg c ed bc d cg aa c d bc de cg gd gc dg bb ed cg d gc aa bb d cg de gc gd cb dg c ed gc d cb aa c d gc de cb gd c dg gc ed cb d c aa gc d cb de c gd bc dg cb ed c d bc aa cg d c de bc gd cg dg c ed bc d cg aa gc d b ffffbcffffffffffffffda bccb fffffcffffffffffffffdf bccb ffffffcffffffffffffdff bccb ffffffbcffffffffffedff bccb fffffffcffffffffffdfff bccb ffffffffcffffffffaafff bccb ddaeg ffffffffbcfffffffdffff bccb eadddddae fffffffffcffffffdaffff bccb geaddddaeg ffffffffffcfffffdfffff bccb eadddddaeffffffffcbfffdefffff bccb gaaddddaafffcffedffffff bccb ffffffeaddddcadffffffbccb ffffffffffffcbafffbcccg fffffffffffffcfbcccfff ffffffffffffffccffffff ffffffffffffffffffffff ffffffffffffffffffffff ffffffffffffffffffffff ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#f7484fff b,#3e3cfcff c,#0403feff d,#fe0607ff e,#fe9090ff f,#9393ffff g,#ecd9ecff ``` ```image ccf a fccg ed bcb dd ccf edd fccg gdde bcb ada gccf gddg fccg ada bcb eddg gccf dde fccg edd bcb gdde gccf ada fccg gddg bcb ada gccf eddg fccg dde bcb edd gccf gdde fccg ada aeeg bcb gddg ddddddaeegg gccf ada eaadddddddddaaeeg fccg eddg ggeeaddddddddddaeebcb dde geeaadddddddccaaadd g ggeeadaccddde gfbc bcbae gfbcccc gccf gfbccccbfg fccggfbccccbfg bccccccbfg gcccbfg ffg ```  There's no doubt about it - this is an intersection in area A. One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#ff4b4bff b,#4947fdff c,#0202ffff d,#fe0505ff e,#ff9595ff f,#8686ffff g,#ecd6e8ff ``` ```image e d de gd dg ed d aa d de gd dg ed d aa d de gd dg ed d aa d de gd cg dg c ed bb d cg aa c d bb de cg gd gc dg bb ed cg d gc aa bb d cg de gc gd bb dg c ed gc d cb aa c d gc de cf gd c dg fc ed cf d c aa fc d cf de c gd fc dg cf ed c d fc aa cf d c de fc gd cf dg c ed fc d cg aa c d b bb de bccf cg gd bccf c dg bccf bb ed bccf cg d fccb gc aa fccb ddaeg bb d fccb eadddddae cg de fccb geaddddaeg gc gd fccb eadddddae bb dg fccb geaddddaeg cg ed fccb eaddddcad fccb bbe fccbg c fccbg gcbg ```

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,#0707feff b,#fd0706ff c,#a0a3f8ff d,#fba7a6ff e,#f45752ff f,#4e4ff2ff g,#add4adff ``` ```image ebb b dbb bd dbb db dbb b dbe ee ebe b ebe bd ebd db bbd b bbd be bb b bb a b dbb ca eb dbb a b dbe ca bd ebe a db ebe a b ebd ac ee bbd a b bbd ac bd bbd a db bb ff b dbb a ee d fagggggggggggggb gaggggggggggggbg gfaggggggggggebg ggaggggggggggbgg ggcaggggggggbegg gggaggggggggbggg ggggaggggggbgggg ggggacggggebgggg gggggaggggbggggg gggggafggbeggggg ggggggagdbgggggg ggggggffbggggggg gggggggaeggggggg gggggggfaggggggg ggggggbdaggggggg gggggebgcagggggg gggggbgggagggggg ggggbeggggaggggg ggggbgggggacgggg gggbgggggggagggg ggebgggggggafggg ggbgggggggggaggg gbegggggggggffgg gbgggggggggggagg bggggggggggggffg ebgggggggggggggag b ca bd a fa db ca caf b ac aa ee a cac b ac aa bd a fac db ac af b a aa ff caf a aa ff fac a af ca aa a caf ca aa ac fac a aa ac fa a caf ff aa a fac ff aa a fac ca caf a aa ca cac acaa ac ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#0706feff b,#fe0708ff c,#9c9bfdff d,#fe9d9eff e,#fe4f4fff f,#504cfaff g,#ead9eeff ``` ```image faf gb gaac eb caa dbb aac ebe caa dbb aac gbbd caag ebe faf dbbg caag bbe faf dbb gaag gbbd faf ebe gaac dbbg faf bbd aac ebb caa gbbd aac ebe caa dbbg fac gbbd caag ebe faf dbbg gaag bbe fafdbb gaabbd faae daac bfaa dbbaac gbbdcaa ebe aac dbbg caag bbd faf ebb caag gbbd faf ebe gaag dbbg faf gbbd gaac ebe faf dbbg gaac bbe caa dbb aac gbbd caa ebe aac dbbg caag bbd faf ebb gaag gbbd faf ebe gaag dbbg faf bbd gaac ```  An intersection is present within area A. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0707ff c,#9999ffff d,#ffa4a4ff e,#fe5353ff f,#4c49fbff g,#e7d7efff ``` ```image g ebbg b gbb bd dbb db dbb b dbe ee ebe b ebe bd ebd db bbd b bbd be gbbg gb gbbg a bg dbb ca eb dbb a b dbe ca bd ebe ag db ebe ga b ebd ac ee bbd a b bbd ac bd bbg a db gbbg ff b gbb a ee d ff b a bd ca db ag b ga be ag gb ga bg ac eb a b fc bd a db ffb ae fa bda db ca b ag ee ga gb ac bg ga db ac b a be ff gb a bg ff eb a b ca bd ag fa db ca gaf b ag aag ee ga cac b ac aa bd a fac db ac gaf b a aag ff caf a aa cf fac a gaf ca fag ag caf ga aa ag fac ga gaa ac fag a caf ff aa a cac ff gaa a fag ca caf a aa ca cac agaa gag ```

Alright, let's get to work and investigate this image for intersections. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#3741ecff b,#f9080aff c,#0304fdff d,#e36257ff e,#7a84e1ff f,#b1d7b1ff g,#9ec497ff ``` ```image f ce c ae c ae c ae c d ae dbfffcfffffffffffffffffffffffffffffffffffffffffffffg bfffaaffffffffffffffffffffffffffffffffffffffffffffg dbfffcffffffffffffffffffffffffffffffffffffffffffffg fbgffaafffffffffffffffffffffffffffffffffffffffffffg fgbfffcfffffffffffffffffffffffffffffffffffffffffffg ffbdffaaffffffffffffffffffffffffffffffffffffffffffg fffbfffcffffffffffffffffffffffffffffffffffffffffffg fffdbffaafffffffffffffffffffffffffffffffffffffffffg ffffbfffcfffffffffffffffffffffffffffffffffffffffffg ffffdbffaaffffffffffffffffffffffffffffffffffffffffg fffffbgffcffffffffffffffffffffffffffffffffffffffffg fffffgbffaafffffffffffffffffffffffffffffffffffffffg ffffffbdffcfffffffffffffffffffffffffffffffffffffffg fffffffbffaaffffffffffffffffffffffffffffffffffffffg fffffffddffcffffffffffffffffffffffffffffffffffffffg ffffffffbffaafffffffffffffffffffffffffffffffffffffg ffffffffdbffcfffffffffffffffffffffffffffffffffffffg fffffffffbgfaaffffffffffffffffffffffffffffffffffffg fffffffffgbffcffffffffffffffffffffffffffffffffffffg ffffffffffbdfaafffffffffffffffffffffffffffffffffffg fffffffffffbffcfffffffffffffffffffffffffffffffffffg fffffffffffddfaaffffffffffffffffffffffffffffffffffg ffffffffffffbffcffffffffffffffffffffffffffffffffffg fb ffffffffffffdbfaafffffffffffffffffffffffffffffffffg db fffffffffffffbgfcfffffffffffffffffffffffffffffffffg db fffffffffffffgbfeaffffffffffffffffffffffffffffffffg db ffffffffffffffbdfcffffffffffffffffffffffffffffffffg bb fffffffffffffffbfecfffffffffffffffffffffffffffffffg bb fffffffffffffffddfcfffffffffffffffffffffffffffffffg bd ffffffffffffffffbfecffffffffffffffffffffffffffffffg bd ffffffffffffffffdbfcffffffffffffffffffffffffffffffg bd fffffffffffffffffbgecfffffffffffffffffffffffffffffg bf fffffffffffffffffgbfcfffffffffffffffffffffffffffffg bf ffffffffffffffffffbdecffffffffffffffffffffffffffffg b fffffffffffffffffffbfcffffffffffffffffffffffffffffg fb fffffffffffffffffffddecfffffffffffffffffffffffffffg db ffffffffffffffffffffbfcfffffffffffffffffffffffffffg db ffffffffffffffffffffdbecffffffffffffffffffffffffffg db fffffffffffffffffffffbgcffffffffffffffffffffffffffg bb fffffffffffffffffffffgbecfffffffffffffffffffffffffg bb ffffffffffffffffffffffbdcfffffffffffffffffffffffffg bd fffffffffffffffffffffffbecffffffffffffffffffffffffg bd fffffffffffffffffffffffddcffffffffffffffffffffffffg bd ffffffffffffffffffffffffbecfffffffffffffffffffffffg bf ffffffffffffffffffffffffdbcfffffffffffffffffffffffg bf fffffffffffffffffffffffffbecffffffffffffffffffffffg b fffffffffffffffffffffffffgbcffffffffffffffffffffffgfb ffffffffffffffffffffffffffbecfffffffffffffffffffffdb fffffffffffffffffffffffffffbcffffffffffffffffffffdb fffffffffffffffffffffffffffbdcffffffffffffffffffdbg ffffffffffffffffffffffffffffbcgffffffffffffffffbbfg ffffffffffffffffffffffffffffdbcfffffffffffffffbbffg fffffffffffffffffffffffffffffbcgfffffffffffffbbfffg fffffffffffffffffffffffffffffgbcffffffffffffbdffffg ffffffffffffffffffffffffffffffbcgffffffffffbdfffffg fffffffffffffffffffffffffffffffbcfffffffffbdffffffg fffffffffffffffffffffffffffffffbcgfffffffbgfffffffg ffffffffffffffffffffffffffffffffbcfffffgbgffffffffg ffffffffffffffffffffffffffffffffdcgfffgbffffffffffg fffffffffffffffffffffffffffffffffbcffdbfffffffffffg fffffffffffffffffffffffffffffffffgcedbffffffffffffg ffffffffffffffffffffffffffffffffffbccaefffffffffffg fffffffffffffffffffffffffffffffffffbfeaccccegfffffg ffffffffffffffffffffffffffffffffffffffffffeaccccaeg ffffffffffffffffffffffffffffffffffffffffffffffffeacccae ffffffffffffffffffffffffffffffffffffffffffffffffffg eaccccef ffffffffffffffffffffffffffffffffffffffffffffffffffg eccccae ffffffffffffffffffffffffffffffffffffffffffffffffffg eacccce ffffffffffffffffffffffffffffffffffffffffffffffffffg eccccae ffffffffffffffffffffffffffffffffffffffffffffffffffg eacc ffffffffffffffffffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffffffffg ffffffffffffffffffffffffffffffffffffffffffffffffffg ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#4c43f6ff b,#fd0608ff c,#0303feff d,#fd8d8fff e,#9a9afeff f,#fd4849ff g,#ecd2e4ff ``` ```image bg ec gbd cc bb ac bbd ecg fb ecg gbg ca ff ccg bb gcc bbd ac fb aa gbg gcg ff ca bb ac bb gcg ff gcg gbg ca bf ccg dbb gcc bb ac db gcg gbg gcg bf ca db aca bd gcc db ac bbg aa fbf gce db cc bd ac db gce bbg gce fbf ca gbb cce bd cc db ec bb ea fb ce gbg ca bd ec bb ce gbb ce fb cc gbg cce bd cc bb ec fb ce ff ce gbg cc bbdecc dbb cc bb ec ff ec gbg ce bbdcc dbbec bb ce ff ce gbgcc bface db ac bdec bfec bbgce fbfcc dbec bdae bfce bbccg fbaca dbac bdcg d bbaa b gbbca fbd fbccg fbb dfcc gbbg bac gbbg bbcg bbf gbbcg dbf fbca bb dac fbd bcg fbb baa bbd gbca bbg fccg gbb gaca gbfg bac bbf dbcg dbf gbcgdbb fcabbd gccccaeg fb geaccccccaeg geacccccaae eeacccc eea ```  Wow! I can see an intersection so clearly in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#4848ffff b,#fc0508ff c,#0404feff d,#fc8d8fff e,#8f8ffeff f,#fb4549ff g,#f1d1dfff ``` ```image g ce c ce c ae c ae c f ae ff c b ae db c bg aa gb c bd aa b c ff aa b c db aa bg c gb aa bd c b aa ff c b aa db c bg aa gb c bd aa b c ff ea g b c gb db ea db bg c db gb ea fb bd c fb b ea bb ff c bf b ec bf db c bd bgec bd gb c gbg bdec gbg b c gb ffec db b c db dbec fb bgc fb gbec bb bdc bf bec bf ffc bd bec bd dbc gbg bec gbg gbc gb bdc db bcg db ffc fb bcg fb dfc bb bcg bf gbc bf bcg bd bc bd fcg gbg bc gbg dcg gb bc db gcgdb bccae b eacccceg gaccccae eacccae eaccccag geccccae eacccceg gaccccae eacc ```

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,#f25650ff b,#0606feff c,#a0a4f6ff d,#f9aba9ff e,#4f53f5ff f,#fd0908ff g,#aed5aeff ``` ```image c bc b ee b ee b cb b cb f b fa cb f bc f b af bc f b fd ee df b f ee aa b f ee fd b df cb f b fa cb df b f b aa bc f b fd bc df b f ee aa b f ee fd b af cb f b fd cb df b f cb aa bc f b fd bc df b f bc fa d b f ff ee f ff b af af ee f af b fd af cb df df b f df cb aa df b f fd b fd fd bc df fd b f fd gbegggggggggggggggggfa fa ggbgggggggggggggggggfg fa ggbegggggggggggggggfgg ff gggbggggggggggggggafgg ff gggeegggggggggggggfggg af ggggbggggggggggggfdggg af ggggebggggggggggafgggg af gggggbggggggggggfggggg df gggggebggggggggfaggggg df ggggggbggggggggfgggggg df ggggggcbbeecggfggggggg f gggggggggcebbbbbbeecgg fd gggggggggggggfgggcebbbbbbeec fd ggggggggggggfagggggggg ceebbbbbeec fdgggggggggggdfggggggggg ceebbbbbbec faggggggggggfgggggggggg ccebbbbbbe faggggggggaagggggggggg cc gffgggggggfggggggggggg ggffgggggfdggggggggggg gggffgggafgggggggggggg ggggafggfggggggggggggg gggggaffaggggggggggggg ggggggafgggggggggggggg gggggggggggggggggggggg ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#f9353bff b,#0606ffff c,#a4a3fdff d,#ffbcbcff e,#5449f3ff f,#fe0404ff g,#ff7777ff ``` ```image bbc af cbb dff bbc ffg cbb gfa bbc dffd cbb afg ebe gff cbb ffg ebe afa cbb dffd ebe afg bbc gff ebe dffd bbc afa ebe dff bbc ffg cbb gfa bbc dffd cbb afg bbc gff cbb ffd ebe afa cbbbbbeeccc dffd ebbbbbbbbbbbbeeeec ccceebbbbbbbbbbbbeeccc caaeebbbbbbbbbbbbe afa ccceeebbbb gff cc ffg gfa dffd g afg fg gff ffg dffd dffa afa dffa dffd dffa ffg dffa gfa dffad dffd affd afg affd gff affd ffd affd afa affd dffd gffgafg gfffa gffd dd ```  The lines cross each other within area A, forming an intersection. It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#ff3838ff b,#0909ffff c,#afafffff d,#ffc3c3ff e,#5f5fffff f,#ff0404ff g,#ff7a7aff ``` ```image c be b ee b ee b cb b cb f b ag cb df bc fd b ga bc f b fg be df b f ee aa b f eb fd b gf cb f b fg cb df bc f b ga bc f b fd bc df b f ee ag b f ee fd b gf eb f b fg cb df b f cb aa bc f b fd bc gf b f be ag d b df fa ee fd af b ga af ee f af b fg gf cb df gf b f df cb aa df b f dfd cb fd fd bc gf fd b f fg bc fg fg b df fa be f fa b aa af ee f af b fd af eb df gf b f gf cb ag df b df df cbbeec fd dfd cebbbbbbeec fd f cebbbbbbbec fd fg cebbbbbbbec fg df ceebbbbbbec fg f ceebbbbbbe fa aa ce fa f fa fd af gf af f gfag gf ```

This image looks interesting. I wonder if there are any intersections hidden in there? My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#f56763ff b,#0607feff c,#fd0b0aff d,#b0b0ffff e,#5255f8ff f,#ffb6b6ff g,#add5adff ``` ```image a ac fc fc fc c c cf cf cf ca ca ca cc cc ac ac ac fc fc fc c gggggggggggggggg c gggggggggggggggg cf gggggggggggggggg cf gggggggggggggggg cf gggggggggggggggg ca gggggggggggggggg ca gggggggggggggggg ca gggggggggggggggg cc gggggggggggggggg cc gggggggggggggggg ac ggcagggggggggggg ac gggcccgggggggggg ac gggggaccaggggggg fc ggggggggcccggggg fc ggggggggggaccagg fc gggggggggggggccc c gggggggggggggggaccf c gggggggggggggggg fcca cf ggeggggggggggggg accf cf ggebgggggggggggg fcca cf gggebggggggggggg acc cf ggggbbgggggggggg fcca ca gggggbbggggggggg ccc ca ggggggbegggggggg fccf ca gggggggbeggggggg ccacc ggggggggbegggggg ac bd bd b b db db eb eb eb be be be bd bd bd b b db db eb eb eb be be de be debbbbed bd dbbbbbed bd debbbbed bd debbbbed b debbbbbe b debbbbed db debbbbed dbbed ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#ff4141ff b,#0909ffff c,#ff0404ff d,#babaffff e,#5e5effff f,#ff8383ff g,#ffc5c5ff ``` ```image g ccfg gccccag gaccccf gfccccag facccaf gfccccag facccaf gaccccfg facccag gaccccfg fcccc gac g ee dbbd ebbd ebbd ebbd ebbd ebb bbb bbb dbbe dbbe dbbe dbbe dbbe ```  Darn it! This close-up doesn't show any intersections in area A. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff4242ff b,#0606ffff c,#ff0505ff d,#afafffff e,#5555ffff f,#ff8e8eff g,#ffd0d0ff ``` ```image f fc fc gc gc gc cg cg cg cf cf ca ca ca ac ac ac fc fc gc gc gc cg cg cg cf cf ca ca ca ac ac cf ac accg fc fccf fc aca gc fccf gc gcca gc fccg cg gcca cg e accg cg eb gccf cf eb accg cf eb fccf cf be aca ca be fccf ca be ccaaa bd fc bd bd b b db db eb eb eb be be be bd bd bd b b db db eb eb eb be be de be debbbbed bd dbbbbbed bd debbbbed bd debbbbed b debbbbbe b debbbbed db debbbbed dbbed ```

This image seems promising for intersection detection. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#0a0bfbff b,#fc0908ff c,#626ee1ff d,#b2d7b2ff e,#eff3efff f,#e17566ff g,#a3cba4ff ``` ```image e cac eggggggggggggggggggggggggggggggggggagacggggggggggggggggggge egddddddddddddddddddddddddddddddddacddaadddddddddddddddddge egddddddddddddddddddddddddddddddddaddddaaddddddddddddddddge egdddddddddddddddddddddddddddddddacdddddaadddddddddddddddge egddddddddddddddddddddddddddddddgadddddddcaddddddddddddddge egddddddddddddddddddddddddddddddagddddddddcadddddddddddddge egdddddddddddddddddddddddddddddgaddddddddddgagdddddddddddge egdddddddddddddddddddddddddddddagdddddddddddgagddddddddddge egddddddddddddddddddddddddddddcaddddddddddddddacdddddddddge egddddddddddddddddddddddddddddaddddddddddddddddacddddddddge egdddddddddddddddddddddddddddcadddddddddddddddddaadddddddge egdddddddddddddddddddddddddddadddddddddddddddddddaaddddddge egddddddddddddddddddddddddddacddddddddddddddddddddaadddddge egddddddddddddddddddddddddddaddddddddddddddddddddddcaddddge egdddddddddddddddddddddddddacdddddddddddddddddddddddcadddge egddddddddddddddddddddddddgadddddddddddddddddddddddddcagdge egddddddddddddddddddddddddagddddddddddddddddddddddddddgagge egdddddddddddddddddddddddcaddddddddddddddddddddddddddddgace egdddddddddddddddddddddddadddddddddddddddddddddddddddddddac egddddddddddddddddddddddcadddddddddddddddddddddddddddddddgac egddddddddddddddddddddddaddddddddddddddddddddddddddddddddgeaa egdddddddddddddddddddddccddddddddddfbddddddddddddddddddddge aa egdddddddddddddddddddddadddddddddfbbbfdddddddddddddddddddge ca egddddddddddddddddddddacdddddddfbbdddbgddddddddddddddddddge ca egdddddddddddddddddddgaddddddfbbdddddgbddddddddddddddddddge ca egdddddddddddddddddddacddddfbbgdddddddfbdddddddddddddddddge eae egddddddddddddddddddgadddfbbgddddddddddbbddddddddddddddddge eae egddddddddddddddddddagdgbbgdddddddddddddbfdddddddddddddddge ac egdddddddddddddddddcagbbgddddddddddddddddbdddddddddddddddge ac egdddddddddddddddddabbgddddddddddddddddddgbddddddddddddddge ac egdddddddddddddddgcagdddddddddddddddddddddfbdddddddddddddge aa egdddddddddddddgbbaddddddddddddddddddddddddbfddddddddddddge aa egdddddddddddgbbgacdddddddddddddddddddddddddbgdddddddddddge ca egdddddddddgbbfddaddddddddddddddddddddddddddgbdddddddddddge ca egddddddddbbfdddacdddddddddddddddddddddddddddfbddddddddddge dae egddddddbbfddddgadddddddddddddddddddddddddddddbbdddddddddge eae egddddbbfddddddagddddddddddddddddddddddddddddddbfddddddddge ead egddbbfdddddddcaddddddddddddddddddddddddddddddddbddddddddge ac egbbfdddddddddagddddddddddddddddddddddddddddddddgbdddddddge a bbfddddddddddcaddddddddddddddddddddddddddddddddddfbddddddge dgdddddddddddaddddddddddddddddddddddddddddddddddddbfdddddge egddddddddddcadddddddddddddddddddddddddddddddddddddbgddddge egddddddddddaddddddddddddddddddddddddddddddddddddddgbddddge egdddddddddacdddddddddddddddddddddddddddddddddddddddfbdddge egdddddddddadddddddddddddddddddddddddddddddddddddddddbbddge egddddddddacddddddddddddddddddddddddddddddddddddddddddbfdge egdddddddgaddddddddddddddddddddddddddddddddddddddddddddbdge egdddddddagddddddddddddddddddddddddddddddddddddddddddddgbge egddddddcaddddddddddddddddddddddddddddddddddddddddddddddfbe egddddddaddddddddddddddddddddddddddddddddddddddddddddddddbf egdddddcaddddddddddddddddddddddddddddddddddddddddddddddddgbe egdddddadddddddddddddddddddddddddddddddddddddddddddddddddgeb egddddacdddddddddddddddddddddddddddddddddddddddddddddddddgefb egddddaddddddddddddddddddddddddddddddddddddddddddddddddddge bf egdddacddddddddddddddddddddddddddddddddddddddddddddddddddge bd egddgadddddddddddddddddddddddddddddddddddddddddddddddddddge b egddagdddddddddddddddddddddddddddddddddddddddddddddddddddge eb egdgaddddddddddddddddddddddddddddddddddddddddddddddddddddge fb egdagddddddddddddddddddddddddddddddddddddddddddddddddddddge bf egcadddddddddddddddddddddddddddddddddddddddddddddddddddddge be egaggggggggggggggggggggggggggggggggggggggggggggggggggggggge eb caeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fb a bf ac bd c b eb fb bf be eb fb bf be b db fb bf b ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0909ff c,#7e7efeff d,#ffa7a7ff e,#c3c1fdff f,#fe5959ff g,#3c3bfdff ``` ```image gag caag eaae eaag gac eaa eaa eage gac eaae caa gaae aac gaae aae caac ag caac eae caag gg eaag eae eaag ga eaaae eaa gaa gac gae caa gac aac aac cag caac aae caag cag eaag eaae eaag eaae egaae gac gaae caa gaae aac gaac caa caa aae cac cag cag eaae aag gag eaag eaae eaaae gac gaae eaa gaa gac ga aa c cg ae ca eaa gag dbb eaae dbbbbf gac dbbbbdbbf eaa bbbbd dbbd aac dbbbd fbbd caa dbbbd fbb aac dbbbbd bbf cag dbbbbd dbb eaae dfbbbf dbd gag dfbbbf fb gag dbbbf bbf eaae dfbbf dbbd gac dfbbb fbbd caa dfbbbf fbb aacfbbbf bbf caabbbf dbbd eaabbf dbbd gaafd fbb fbaae bbf fbbbag bbf fbbbfeae dbbd fbbbfd gc fbb fbbbfd ea fbb fbbbfd ga bbf fbbbd aac dbd dbbbd cag fb dbbbbd aae bf dbbbbd cag bbf dbbbbd eaae dbbd dbbbbd gag fbb bbbbd eaae fbb dbbbd gac bbf dbbbd caa dbbd dbbbbd aac dbbd bbbbd caa fbb bbd aae bbf d cag bbf eaae dbbd eaae fbb gac bbf eaa dbb gac dbd aa fb ac bf cg bbf ae dbbd ca fbb eaa fbb gag bbf eaae dbbd gac dbb eaa fb caa aac cag eaae gag eaae gag eaae gac caa aac caa aae cag ag eae gc ea ga caa aac ```  The lines cross each other within area A, forming an intersection. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#0605feff b,#fe0909ff c,#8686ffff d,#ffacacff e,#cacaffff f,#ff5858ff g,#4440fbff ``` ```image e cac a ag gg ag a aa ac ga a ca ae ca ea eae a eae ca ac a ac gg ag a aa gc ga a ga ac ca ea ea ae eae ea ae a ac cg ag a ag gg db aa a dbbbf ga ac dbb bd ca a dbb b ca ae dbb db eae ea dbb bf eae ae dbb bd ac cadbb b ac abb db ag gad fb aa bba bf ga bbdgc bd ga bbd a b ca bbd ac db ea bbd ea bf eae bbd ae bd ae bbd ea b ac bbd a db a bbd ca fb d a bf gg b a b gc db a bf ae bd ea b ae db ca fb a bf cg b a b gg db a bf ac bd a b ae db ea fb a bf ca b a b gg db a bf gc bd c b db fb bd b b fb bf bd b db fb bd b ```

Let's examine this image for potential line intersections. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#0303fdff b,#f80b0cff c,#7d8cdfff d,#dd7869ff e,#3336eeff f,#b1d7b1ff g,#97c896ff ``` ```image d dbgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg ggbdffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg gffbdfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg gfffbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg gffffbbfffffffffffffffffffffffffffffffffffffffffffffffffffffffffg gfffffdbffffffffffffffffffffffffffffffffffffffffffffffffffffffffg gffffffgbdffffffffffffffffffffffffffffffffffffffffffffffffffffffg gffffffffbdfffffffffffffffffffffffffffffffffffffffffffffffffffffg cgfffffffffbbffffffffffffffffffffffffffffffffffffffffffffffffffffg eaaaecffffffbbfffffffffffffffffffffffffffffffffffffffffffffffffffg gffceaaaecffdbffffffffffffffffffffffffffffffffffffffffffffffffffg gfffffffceaaaebdffffffffffffffffffffffffffffffffffffffffffffffffg gffffffffffffceaaaecffffffffffffffffffffffffffffffffffffffffffffg gfffffffffffffffbbceaaaecfffffffffffffffffffffffffffffffffffffffg gffffffffffffffffbbffffceaaaecffffffffffffffffffffffffffffffffffg gfffffffffffffffffdbffffffffceaaaacfffffffffffffffffffffffffffffg gffffffffffffffffffgbdfffffffffffceaffffffffffffffffffffffffffffg gffffffffffffffffffffbdffffffffffffcafffffffffffffffffffffffffffg gfffffffffffffffffffffbbffffffffffffaeffffffffffffffffffffffffffg gffffffffffffffffffffffbbffffffffffffaffffffffffffffffffffffffffg gfffffffffffffffffffffffdbfffffffffffgafffffffffffffffffffffffffg gffffffffffffffffffffffffgbdffffffffffeeffffffffffffffffffffffffg gffffffffffffffffffffffffffbdffffffffffacfffffffffffffffffffffffg gfffffffffffffffffffffffffffbbffffffffffafffffffffffffffffffffffg gffffffffffffffffffffffffffffbbfffffffffcaffffffffffffffffffffffg gfffffffffffffffffffffffffffffdbfffffffffacfffffffffffffffffffffg gffffffffffffffffffffffffffffffgbdffffffffafffffffffffffffffffffg gffffffffffffffffffffffffffffffffbdfffffffcaffffffffffffffffffffg gfffffffffffffffffffffffffffffffffbbfffffffeefffffffffffffffffffg gffffffffffffffffffffffffffffffffffdbbffffffagffffffffffffffffffg gffffffffffffffffffffffffffffffffffffdbbgffffaffffffffffffffffffg gffffffffffffffffffffffffffffffffffffffgbbdffeafffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffffbbdfacffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffffffbbdaffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffffffffbbafffffffffffffffg gfffffffffffffffffffffffffffffffffffffffffffffffaedfffffffffffffg gffffffffffffffffffffffffffffffffffffffffffffffffadbbfffffffffffg gffffffffffffffffffffffffffffffffffffffffffffffffgafdbbfffffffffg gfffffffffffffffffffffffffffffffffffffffffffffffffeeffdbbfffffffg gffffffffffffffffffffffffffffffffffffffffffffffffffacfffdbbfffffg gfffffffffffffffffffffffffffffffffffffffffffffffffffafffffdbbgffg gfffffffffffffffffffffffffffffffffffffffffffffffffffcaffffffgbbdg gffffffffffffffffffffffffffffffffffffffffffffffffffffacffffffffbbd gfffffffffffffffffffffffffffffffffffffffffffffffffffffafffffffffgbbd gfffffffffffffffffffffffffffffffffffffffffffffffffffffcaffffffffg bbd fggggggggggggggggggggggggggggggggggggggggggggggggggggggeegggggggf dbd a dbb a dbb ca dbb ac db a ca ee a a ee ac a ca ac a a ee a a ca ac a ca ee a a ee ac a ca ac a ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0708ff c,#9e9effff d,#fda2a3ff e,#504af8ff f,#fc5254ff g,#edd9ebff ``` ```image bbd fbbf dbbg dbbg fbbd fbbf dbbfg dbbb gbbd fbd bbf dbbbg gbbbd fbb fbf dbfg g bbbg aaecg gbbbd gceaaaaaaaecg fbbf gceeaaaaaaeec dbbg geeaaaaaaeecgdbbg gceeaaaaaaefbd gceeaaaaaaaec gceaaaaaaeecg dbeeaaaaaaecg gbbd gceaaaaaaaecc bbd gcceaaaaaaaec fbbf cceaaaaaaaecc dbbfg gccaaaaaaaecc dbbbg cceaaaaaag gbbb ceaae fbd gaac fbf caag dbbbg aa gbbbd cac fbbd eag fbb ae dbfg aac dbbg caag bbbd eae fbbf caac dbbf eaa dbbg aae gbbd gaa bbd cag fbbf ee dbbfg gac gbbb eaa fbd aae fbf caac bbfg caag dbbbd eae gbbbbd gaac dbbbfg caag dfbbfg eae dfbbbf cac gfbbfd ea gfbbfd ae fbbbbd aac gfbbbbdcaag dbbbdeae dbbbaac dfeaaf daaefg caabbfd cafbbbfd eegfbbbf gac gfbbbd aag gdbbbd gaae dbbbbg caac dbbbfg eaag dbbbfg aae dfbbbfg gaac gfbbbd caa gfbbfd ea gbbb cag aa aae gaac ```  Amazing! This area was hiding an intersection all along! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#0403feff b,#fe0707ff c,#9d9dffff d,#fe9f9fff e,#423ffbff f,#f54851ff g,#f0dcebff ``` ```image d fb dbg gbd bf bb fb dbg gbd bf c bb eaaaec fb ceaaaec dbg ceaaaefd ceaaaec bbceaaaec fb ceaaaec dbg ceaaaac gbd cea bf ca bb ae fb ag dbg ga gbd ee bf ac bb a fb ca dbg ac gbd a bf ca bb ee dbbg ag dbbg ga gbbd ea gbbd ac bbda bfa aef afbf ga fbb ee dbb ac dbbg a dbbg ca gbbd ac gbbd a bbd ca fbf ee fbf ag fbf ga dbb ea dbbg ac db a ca ae ag ga ee ac a ca ac a ga ee ag a ca ac a ca ee ag ga ee ac a ca ac a ```

Let's examine this image for potential line intersections. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#3636ffff b,#ff0707ff c,#c5c5ffff d,#ff5a5aff e,#0303ffff f,#7f7fffff g,#ffb2b2ff ``` ```image g gbb gbb gbb gbb gbb bb bbg gbb bbg gbbg bbg gbbg bbg bbg bbg bbd bbg dbd bbg dbb bbg dbb bbd gbb dbd gbbg dbd bbg dbd bbd dbd dbd dbd dbd dbd dbb dbd gbbdbd gd ec ec ec ec c e ae ce ea ce cef ce fe ce ee ce ef fe fec fe ae fe ea fe cec ae ae ae ea ae cef aa fe aa ee ea ef ea fec ea ae ef ea ef cec ef ae ef ea ec cef ec fe ec ee ec ef ec fec e ae ce ea ce cec ce ae ce ea cecef fe ```

The hunt for intersections begins! Let's analyze this image closely. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0707feff c,#5354fbff d,#ff5555ff e,#b1b1ffff f,#ffa1a1ff g,#add5adff ``` ```image e cc be b eb cb bc be b eb bc be b eb cb bc b b eb bc be b eb cb be b d b da cb af bc a be fa b af eb a cb fa be af b a eb fa cb af bc a be fa b ad eb a cc fa be ad b a eb fa cb ad bc a bb a ebc dd cbe a bb a ebc dd cbe a bb a ebc dd cbe af bb a ebc da bbe af bb a cbc da bb af ebb a cbe fa bb af ebc a cbe fa bb af ebc a ggggcbgggggggggg fa ggggggbbgggggggg af gggggggcbcgggggg a gggggggggbbggggg fa gggggggggggbgggg ad gggggggggggggggg a gggggggggggggggg fa gggggggggggggggg ad gggggggggggggggg a gggggggggggggggg faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagggg gggggggggggggggg gggggggggggggggg gggggggggggggggg ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefeffff a,#ff0000ff b,#0404ffff c,#6666ffff d,#ff7474ff e,#ccccffff f,#9494ffff g,#3636ffff ``` ```image cbbbf egbbge fbbbce cbbbf egbbge fbbbc cbbbf egbbge fbbbc cbg ee dddddddddddddddddddddddddd aaaaaaaaaaaaaaaaaaaaaaaaad dddddddddddddddddddddddddd ```  I'll move on to the next area. The intersection must be somewhere. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0303ffff c,#6b6bffff d,#ff6161ff e,#b5b5ffff f,#ffadadff g,#3333ffff ``` ```image e gg be b eb cb bc be b eb gg be b eb cg bc b b cb gg be b eb gg bc b d b da cb af gc a be da b af eb a gg fa be af b a eb fa cb ad bc a be fa b ad eb a gg fa be ad b a eb fa cb ad bc a bb fa ebg dd cbe a bb a ebg dd gbe af bb a ebc da gbe af bb a cbc da gbe af bg a cbc da bb af ebg a cbe da bb af ebg a cbe fa bb af ebg a gbe fa bb ad ebc a gbe fa b ad a fa ad a faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ```

I'm analyzing this image to identify any points where lines intersect. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#4c4cffff b,#ff0404ff c,#ff5858ff d,#9898ffff e,#0101ffff f,#d0d0ffff g,#ffacacff ``` ```image d de de de de de de de de de de de de fe fe fe fe fe fe fe fe fe fe fe fef fef fef ef ef ef ef ef ef ef ef ef ef ef ed ed ed ed ed ed ded deeeaf deeeaf faeeeaf faeeed daeeed deeead faeeeaf faeeeaf eed c cbc cbc bbc bbg gbbg gbb cbb cbc cbc bbc bbg gbbg gbb cbb cbc cbc bbc bbg gbbg gbb ggggcccccbbbbbbbbbbbbbbbbbb bbbbbbbbbbbcccccgggg ```

I'm curious to see if this image contains any intersection points. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#0909feff b,#fe0807ff c,#b3b3ffff d,#f89995ff e,#5859fdff f,#f7534fff g,#b0d6b0ff ``` ```image ggggggggggggggg ggggggggggggggg ggggggggggggggg gggfggggggggggg gggfbfggggggggg gggggbbfggggggg gggggggbbdggggg gggggggggbbdggg gggggggggggbbgg gggggggggggggbb ggggggggggggggdbb gggaggggggggggg dbb gggeagggggggggg dbf ggggaaggggggggg fbf ae fbd ac bbd a bbd ca bb ea bb ae dbb ac dbb a dbf ca fbf ea dbbbd ae fbbbd ac dbbbf a dbbbd ca fbbbd ea dbbbf ae dbbbd ac fbbbd a dbbbf ca dbbbd ea fbbfd ae dbbb ac a ca ca ae ac a a ca ea ae ac a ca ea ae ac a ca ea ae aa caa eac aa cae eac aa cae aac aa eac aa cae eac aa cae eac aa cae aa caa eac aa cae eac aa ca ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#0303ffff b,#ff0606ff c,#a6a6ffff d,#ff8d8dff e,#4444ffff f,#ff4b4bff g,#ffcfcfff ``` ```image dg gbbfg gfbbbd gfbbbd gfbbbd dbbbbd dbbbbd dbbbfg dbbbfg dbbbfg gfbbbfg gfbbbf gfbb gf ee caac caac eaa eae ```  Area A doesn't meet the criteria for an intersection. I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#0808ffff b,#ff0606ff c,#a1a1ffff d,#ff9999ff e,#5151ffff f,#ff4a4aff g,#e9daefff ``` ```image d fbf fbd bbd bbg gbbg gbb dbb e dbf ca dbf ea fbf ac fbd ag bbd ga bbd ca gbbg ea gbbg ae dbb ag dbb a dbf ca fbfg ea dbbbd ae gfbbbd ac dbbbfg a dbbbd ca gfbbfd ea dbbbfg ae dbbbd ac gfbbfd a dbbbfg ga dbbbd ea gfbbfd ae dbbb ac ag ga ca ee ac ag ga ca ea ac ag ga ca ea ae ag a ca ea ae aag gaa eac aa cae eac aa cae aag gaa eac aag gae eac aa cae eag gaa cae aag gaa eac aa cae eac aa ca ```

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,#0404feff b,#fd0606ff c,#9da0f8ff d,#fba7a5ff e,#fe5a5aff f,#4e50faff g,#aed5aeff ``` ```image c faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf ac a ca ac a ca ff ac a ca ac a ca ff ac a ca ac a ca ff ac a ca ac a ca ff ac a ca ac a ca ff ac a ca ggafggggggggggggggg gggaggggggggggggggg bd ggggagggggggggggggg debbbed ggggfaggggggggggggg dbbbbd gggggacgggggggggggg debbbed ggggggagggggggggggg dbbbbe ggggggfaggggggggggg ebbbbd gggggggafgggggggggg debbbed ggggggggagggggggggg ebbbbd dddddeeeeebbbbbbbbbabbbbbbbbb debbbbbbbbbbbbbbbbbbbeeeeeddddggggggggfagggggggg ggggggggggacggggggg gggggggggggaggggggg gggggggggggfagggggg ggggggggggggafggggg gggggggggggggaggggg ggggggggggggggagggg ggggggggggggggfaggg gggggggggggggggacgg a ca af a ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#0707feff b,#ff0202ff c,#5651faff d,#fec3c4ff e,#f62c34ff f,#fc797bff g,#adadffff ``` ```image aac gaag caa aac gaag gaa cac aac gaag caa aac gaag gaa cac aac gaag caa ddddddaacffffffffeeeeeeebb eeeebbbbbbbbbbbbbeaaebbbbbbbbbbbbbbbb bbbbbbbbbbbbbeeeeecaafffffffffddddddd dddddd cac aac gaag caa aac gaag gaa cac aac gaag caa aac gaag gaa cac aac ```  The evidence is clear: this is an intersection in area A. My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#0303ffff b,#fe0203ff c,#8080ffff d,#ffa5a5ff e,#ff4b4bff f,#4c4cffff g,#c4c4ffff ``` ```image c faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf faf ag a ca ac a ga ff ag a ca ac a ga ff ag a ca ac a ga ff ag a ca ac a ga ff ag a ca ac a ga ff ag a ca ac a ed ga debbbed ff dbbbbd ag debbbed a debbbe ca ebbbed ac debbbed a dbbbbd ddddddeeeeebbbbbbbbabbbbbbbbb debbbbbbbbbbbbbbbbbbeeeeedddddd ff ag a ca ac a ga ff ag a ca ac a ```

I'm ready to tackle this image and find those intersections! My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#ff5757ff b,#0707ffff c,#ff0909ff d,#9d9dffff e,#ffa9a9ff f,#5151ffff g,#ecdef1ff ``` ```image g cce cc ca ac ca ac cc ec cc ec ac gc ac cg ec cg ec ce ecg ce gcg ca ce ca ce ac ca ac ca ac cc ec cc ec ac gc ac cg ac ce ec ce ecg ca gcg ca gce cc ce ac ca ac ca ec ca ec cc gc ac gcg ac cg ac ce ec ce ecg ca gcg ca gce cc ce ac ca ac ca a ca c fbg bfgbd dbd bf fb bb bf fb dbd dbg bb gbd bf bf dbg bb bb fb gbf dbg dbg gbd bb bf gbf bb dbg fb bb dbg gbf gbd fbg bf bb bb gbf fb fbg dbg bb gbd gbd bf fbg bb bb fb gbd dbg fbg gbd d bf bb fb dbg gbd bf bb fb dbg gb ```

This is the image I'm working with. The goal is to count the intersections. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#5759faff b,#fd0909ff c,#f46762ff d,#0707ffff e,#959decff f,#ffb6b6ff g,#aed4aeff ``` ```image c fb b bc cb b bf cb fb b bc cb b bf bc fb b bf cb b b bc fb b bf cb fb b dde bc eaddddae fb eaddddae b eddddda bf eaddddae cb eaddddae fb eddddde ggggggggggggggggb eda gggggggggggggggbc deggggggggggggggcb dagggggggggggggbg degggggggggggbgg gdegggggggggbbgg ggdeggggggggbggg gggdeggggggbgggg ggggdeggggbcgggg gggggdgggcbggggg ggggggdggbgggggg gggggggdbggggggg gggggggbdggggggg ggggggcbgdgggggg ggggggbgggdggggg gggggbcgggedgggg ggggcbgggggedggg ggggbgggggggedgg gggbgggggggggedg ggbcgggggggggged gcbggggggggggggad gbgggggggggggggged bcgggggggggggggg ad cbggggggggggggggg ad fbgggggggggggggggg ad b ad bc ad cbbb ad fbbbcf ad fcbbbf dd cbbbf dd cbbbc dd fbbbc da fbbbcf da fcbbbf da cbbbf da bbbc da da da de de de de de de d ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#4848ffff b,#fe0404ff c,#fd7577ff d,#0706fdff e,#babaffff f,#ffbebeff g,#fc3235ff ``` ```image f b gb cbb fbbf e gbc de cbg dde fbbf adde fbbc adde gbg adde cbb adde fbbf adde bbc adde gbg adde cbbf adde fbbc adde gbg adde cbb adde fbbf adde bbc add gbg addbbf dddc gddd cbgdda fbbfedda bbc edda gbg edda cbbf edda fbbf edda gbc edda cbg edda fbbf edda fbbc edda gbg edda cbb edda fbbf edda bbc edd gbg ed cbbf e fbbc gbg cbb bbf bc g f ```  Bingo! This close-up reveals an intersection in area A! The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#5858ffff b,#fe0505ff c,#ff7e7eff d,#0707ffff e,#a9a9ffff f,#ffc1c1ff g,#fd3c3eff ``` ```image c fb b bc cb b bf gg fb b bc cb b bf gg fb b bc cb b bf bg fb b bf gg fb b dda bc eaddddae cb eaddddae b eddddda bf eaddddae gg eaddddae fb eddddde b eda bc de cb de b de bf de gg de fb de b de bc de cb d b dbf gd fb d b ed bf ed gb ed fb ed b ed bc ed cb ed b ed bf ad gg ad fb ad b ad bc ad cbbb ad fbbbgf ad fgbbgf dd fgbbbc dd cbbbc dd cbbbc da fgbbgf da fgbbgf da cbbbc da bbbc da da da de de de de de de d ```

I have a feeling there might be some intersections in this image. I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fd0606ff c,#5354fcff d,#f54f4aff e,#9da1f5ff f,#f2a49eff g,#afd6afff ``` ```image eaae a aae cc aac a cac cc cac a caa cc eaa a eaa ggggggggggggggggg cc eaae ggggggggggggggggg a aae ggggggggggggggggg cc aae ggggggggggggggggg a aae ggggggggggggggggg cc cac ggggggggggggggggg a cac ggggggggggggggggg ae caagggggggggggggggg a caagggggggggggggg ae ggcaagggggggbgggg a ggggeaaggggbbgggg ae ggggggeaaedbggggg a gggggggggaaeggggg ae ggggggggfbgaagggg a ggggggggbgggggggg ae gggggggbggggggggg a ggggggbgggggggggg ae gggggbfgggggggggg a ggggbdggggggggggg a gggbdgggggggggggg ea ggbbggggggggggggg a gdbgggggggggggggg ea dbggggggggggggggg a fbgggggggggggggggg ea bggggggggggggggggg a b ggggggggggggggggg ea b a bf ea bf a bd ea db a db ea fb a fb cc b a b cc bf a bf cc bd a bd cc db a db cc fb a fb cc b a b ae bf a bf ae bd a bd ae db a db ae fb a fb ae b a b ae bf ggggggagggggggg bf gggggaggggggggg fbbf ggggeaggggggggg fbbd ggggagggggggggg dbbf gggeagggggggggg fbbd gggaggggggggggg bbd ggggggggggggggg dbbf ggggggggggggggg fbbd ggggggggggggggg dbb gggggggggggggggdbbf ggggggggggggfbbd ggggggggggdbbfg gggggggdbbdgggg ggggfbbdggggggg gggbbfggggggggg ggggggggggggggg ggggggggggggggg ggggggggggggggg ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#0101ffff b,#ff0505ff c,#5959ffff d,#ff4c4cff e,#ff9191ff f,#ffcdcdff g,#d0d0ffff ``` ```image gaag cac gaag cac gaag cac gaag cac gaag cac gaag cc ed fdbbb febbbbde edbbbbdf fdbbbbde febbbbbef edbbbbdf fdbbbbde edbbbbef fbbbdf de ```  It's a shame, but area A doesn't contain an intersection. Hmm, interesting. Let's check out another area. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fe0506ff c,#3e34f5ff d,#ff7d7dff e,#9797ffff f,#ffcbcbff g,#fb373bff ``` ```image ce aace eaaace eaaaae eaaaae f ecaaae fbd ecaaae fbbg ecaaac gbg ecaaace gbbf ecaaace gbbf caaacgbf eaaace dbcaaace fbbd eaaac fbbd eae fbbg fbbg gbg gbbf gbbf dbbf dbbf dbbd fbbd fbbd fbbg fbbg gbg gbbf gbbf dbbf dbbf dbbd fbbd bbd bg g ```  Yes! I knew it! There's an intersection right here in area B! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0505feff b,#ff0909ff c,#4949ffff d,#ff6161ff e,#8c8cffff f,#ffbabaff g,#cdcdffff ``` ```image g eaae a aae ec aae a cac cc cac a eac cc eaa a eaag cc gaag a gaag cc gaae a aae ce cac a cac ae cac a eaa ae eaa b a gaag bb ae gaagdb a gaae ae fb aa a fb ag b ga bf ag bf ga bd ag bd ga bb ag db ga db ag fb ga fb a b ea bf a bf ea bd a bd ea bb a db ec db a fb ec fb a b cc bf a bf cc bd a bd cc bb a db cc db a fb ce fb a b ae bf a bf ae bd a bd ae bb a db ae fb a fb ag b ga b ag bf ga bf ag dbbf ga fbbd ag dbbf ga fbbd ag fbbb dbbf fbbd bbbf dbbf fbbd dbbf dbbd fbbd bbf ```

I have a feeling there might be some intersections in this image. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#f9a7a4ff b,#6f73f6ff c,#fe0707ff d,#0b0bfeff e,#aed5adff f,#f75451ff g,#c7c7ffff ``` ```image a ca c ff c c ff fc c c ac ca c ff ac c ca c c cf ca ac c c ca ca c ac ff c c ca ff fc c c ac ca c ff ac c ca c c cf ca ac c c ca ca c ac ff c c ca ff fc db c c d ac ca gd c ff bd ac ac db c c d c cf gd ca ac bd c c db ca ca d c ac gd ff c bd c ca db ff fc g dg c c bd gd ac c dd bd c ff db db ac ac gdg dg ceeeeeeeeeeeeeee c bd d eceeeeeeeeeeeeee cf dd bd ecaeeeeeeeeeeeee ac db db eeceeeeeeeeeeeee c bdg dg eecfeeeeeeeeeeee ca dd d eeeceeeeeeeeeeee fc dd bd eeecfeeeeeeeeeee c gdb db eeeeceeeeeeeeeee ca bd dg eeeeffeeeeeeeeeefc dd d eeeeeceeeeeeeeeec db bd eeeeefceeeeeeeeca gdg db eeeeeeceeeeeeecf bd dg eeeeeeaceeeeeace dd d eeeeeeeceeeeecee db bd eeeeeeeeceeecfee gdg dbeeeeeeeecaefceee bd dbeeeeeeeececeeee dd deeeeeeeeccfeeee db bdeeeeeeeeceeeee gdg eddeeeeeeeeeeeee bd eedbeeeeeeeeeeee dd eeedeeeeeeeeeeee db eeebdeeeeeeeeeee bdg eeeeddeeeeeeeeee dd eeeeedbeeeeeeeee dd d gdb gd bd dd dd dg db dgdg gd ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#ff8e8eff b,#4343ffff c,#ff0505ff d,#0505ffff e,#9f9fffff f,#ff4747ff g,#ffcfcfff ``` ```image ccg fcf gccg fcf gccg fcf gccg acf cca acc cca acc fca accg fcf gccg fcf gccg fcf gccg acf cca acc a cca gc acc fc fca acc accg gcca fcf ccf gccg fcc fcf gccg gccg cca fcf fcf gccg accg e acf gcca de cca fcf dd accaccg bdb cccca dde accf edde fc bdd bdb dde edde bdd bdb dde edde bdd bdb ```  Unfortunately, there's no intersection inside area A. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff9e9eff b,#4c4cffff c,#ff0707ff d,#0606ffff e,#9999ffff f,#ff4f4fff g,#ebd8ebff ``` ```image a ca c ff c c ff fc c c ac cg cg ff ac gc cg cg gc cf ca ac c c ca ca c ac ff c c ca ff fc c c ac cg c ff ac gc cg cg gc cf ca ac c c ca ca c ac ff c c ca ff fc de c gc d ac cg gd c ff bd ac gc de cg cg dg gc cf gd ca ac bd c c de ca ca dg c ac gd ff c bd c ca de ff fc g dg c gc bd gd ac cg dd bd c ff db db ac gc edg dg cg c bd gd gc cf dd ed ca ac gde db c c edg dg ca ca bd gd c ac db ed ff c gde db c ca edg dg ff fc dd d c gc db ed ac cg gde db c ff bd dg ac gc dd d cg c db ed gc cf ede db ca ac bd dg gc c dd d cca db ed c edg bb bd de dd d gde ed edg bb bd de db d gde ed edg bb dd de db dgde ed ```

I'm approaching this image with caution. Intersections might be tricky to spot. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#6565f6ff b,#f3625cff c,#0708feff d,#fe0808ff e,#add4aeff f,#c1c1ffff g,#ffb8b8ff ``` ```image g bddg gddb bddg gddb bddg ddd gddb bddg gddb bddg gddb bddg ddd gddg d gd db d gd bb d gd bb d d bb dg d bb dg d bd dg d bd dg d bd dg d bd edeeeeeeeeeeeeee eedeeeeeeeeeeeee eebdeeeeeeeeeeee eeedbeeeeeeeeeee fcccca eeeedeeeeeeeeeee accf facccca eeeebdeeeeeeeeee fcca facccca eeeeedbeeeeeeeee accf faccccaeeeedeeeeeeeee cca eaccccadeeeeeeee fccf eeeeeeaccccaeeee acc eeeeeeeedeeaccccaf fcca eeeeeeeebdeeeeeeaccccaf accf eeeeeeeeedbeeeee facccca fcca eeeeeeeeeedeeeee fa accf eeeeeeeeeebdeeee ccc eeeeeeeeeeedbeee fcca eeeeeeeeeeeedeee acc eeeeeeeeeeeebdee fcca eeeeeeeeeeeeedbe cf d gd db d gd db d gd db d gd db d gd db d gd db d ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#5753fbff b,#f32c37ff c,#0605feff d,#ff0303ff e,#fe7878ff f,#a8a8ffff g,#ffc4c4ff ``` ```image edb bde gddg edb bde gddg edd bde gddg edd bde gddg edd bde gddg edd ccaff bde cccccccaff gddg ffaccccccccaabb ffaccccccccaaf ffaccccccccaaf ebbaacccccccaaf bdb ffaacccccc gddg ffaac edd bdb gddg edd bdb gdde eddg bdb gdde eddg bdb gdde eddg bdb ```  Eureka! There's definitely an intersection in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#6b69fcff b,#ff4040ff c,#0808feff d,#fe0505ff e,#ff8484ff f,#c3c3ffff g,#ffc8c8ff ``` ```image e bddg gddb eddg gddb edde bdb edde bddg gdde bddg gddb edde gddb edde d gd bb d gd bb dg gd bb dg gd bb dg gd bb dg d bb dg d bb dg d bb dg d ed dg d ed dg fcccca d accf facccca ed fcca facccca dg accf facccca d cca faccccad fccf faccccaf acc d faccccaf fcca ed faccccaf accf de facccca fcca d fa accf ed ccc de fcca d acc ed fcca de cf d ed de d ed de d gd de d gd de d gd de d gd de d ```

Alright, let's get to work and investigate this image for intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fd0a09ff c,#7e81f7ff d,#f47570ff e,#3537faff f,#d9c9efff g,#aed5aeff ``` ```image f ec a ca af fa ec a ca af fa ec a ce af fa ac a ce af fa ac a ce a af ac fa faf ac ca a ea ce aa a ae fa ac ac faf a ca ce ea a ae fa ae ac ac a faf ee ca a ea fa ae ac ac a faf ee faf a ca fa ea ac ae a ac ee faf a ca fa ea af ea a ae gggeegggggggggggac ggggaggggggggggag ggggcagggggggcagg gggggacgggggeaggg ggggggaggggaagggg ggggggeeggaeggggg gggggggagacgggggg gggggggcagggggggg ggggggggggggggggg ggggggggggggggggg ggggggggggggggggg bbbbbbdddf ggggggggggggggggg fdddbbbbbbbbbdddf ggggggggggggggggg fddbbbbbbbbbbdddgggggggggggg gdddbbbbbbdgggggg ggggggggggbbbbggg gggggggggggggdbbbd gggggggggggggggggdbbbd ggggggggggggggggg fbbbd ggggggggggggggggg dbbbd ggggggggggggggggg fdbbbf ggggggggggggggggg dbbbd ggggggggggggggggg dbbbf ggggggggggggggggg fbbbd ggggggggggggggggg dbbbd ggggggggggggggggg fbbbdf ggggggggggggggggg dbb ggggggggggggggggg ggggggggggggggggg ggggggggggggggggg ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0505ff c,#7979ffff d,#ffacacff e,#4141ffff f,#c2c3ffff g,#ff5656ff ``` ```image faaf eae e faaf ea caa faaa aac faaef faaf caae eae caac faaf eaac caa feaaf aac faaaf faaf faae eae caae faaf caac caa eaac aaaaaf faaaf ce bbggggdddd bbbbbbbbbbbbbbgggd ddddggggbbbbbbbbbbgdd dddgbbbbbbgd dgbbbbbggd dgbbbbbbgd dgbbbb dgg ```  Unfortunately, there's no intersection inside area A. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0505ff c,#8080ffff d,#ffaaaaff e,#3d3dffff f,#c6c6ffff g,#ff5555ff ``` ```image f ec a ca af fa ec a ca af fa ac a ca af fa ac a ce af fa ac a ce a a ac fa faf ac ca a ea ce aa a ae fa ac ac faf a ca ce ea a aa fa ae ac ac a faf ee ca a ea fa ae ac ac a faf ee faf a ca fa ea af ae a ac ee faf a ca fa ea af aa a ae ee ac a faf fa ca af ea a aa ee ae a ac faf bbbbbbggdd ddggbbbbbbbbbgdd ddggbbbbbbbbggdd ddggbbbbbd gbbgd dbbbg gbbbd dbbbg gbbbd dgbbgd dbbbg gbbbd dbbbg gbbbd dgbbgd dbb ```

This is the image I'm working with. The goal is to count the intersections. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff3b3bff b,#6a6affff c,#ff7878ff d,#ff0404ff e,#c2c2ffff f,#0909ffff g,#ffbdbdff ``` ```image gg adddddddacgg ggcadddddddacg ggcadddddddacg gccadddddd dc dg d cd da dg d gd aa dg d gd aa dc d gd cd dc d d cd dc dg d cd aa dg d gd aa dg d gd ad dc d f gd efe cd fb dc ff dg bf d efe cd fb aa ff dg ff d bf gd efe aa fb dg ff d bf gd efe aa fb dc ff d bf gd efe cd fb dc ff d ff bf efe fb ff bf efe fb ffbe ebffffbe ebffffbe ebffffb ebffffb ebffffb ebffffb ebffffb ebffffe ebff ```

This image looks interesting. I wonder if there are any intersections hidden in there? I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff8383ff b,#0606ffff c,#ff0404ff d,#9797ffff e,#ff3b3bff f,#ffc8c8ff g,#4a4affff ``` ```image d bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd bb dbd dbb dbbbgd dgbbbg dbbbbd gbbbgd dgbbbd dbbbgd dgbbbg dbbbbd gd cf ca ce ec acf ca ce ec ac fca ce cc fc ac accf fcf ece ce acca cc ece ec fcca fcf eccf ca fcca ce accf ec fcce acf accf fca ece ce acca ec ece ac fcca fcf eccf ce fcca cc accf ace ```

I'm analyzing this image to identify any points where lines intersect. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#8188f2ff b,#fd0808ff c,#0a0bfdff d,#feb5b5ff e,#9ac596ff f,#ef5652ff g,#b0d6b1ff ``` ```image a c ca c c ac c ac c ca c ca c c ac c ac c aa c ca db c bfb ca bd fb gc bd bf c bf bf ac fb bd c db bd ac b b c b db ca bd db c bf fb ca fb fb c db bfgeeeeeeeeeeeecee db bfgggggggggggacgg b beggggggggggcggg bd ebeggggggggacggg bf egbggggggggcgggg fb egebggggggcagggg db eggfbgggggcggggg db egggfbgggcaggggg b eggggbbgecgggggg bd egggggbfcegggggg bf eggggggfcggggggg bb eggggggcbegggggg fb egggggacgbgggggg db egggggcggebggggg b eggggcagggebgggg bd eggggcgggggfbggg bd egggcaggggggfbgg bf egggcggggggggbbg fb eggcegggggggggbf ggggggggggggebge egacgggggggggggbd ggggggggggggbgge egcgggggggggggggbd gggggggggggbegge eacgggggggggggge b ggggggggggbfggge c db gggggggggbfgggge aa db ggggggggfbggggge c fb gggggggfbgggggge ca fb ggggggebggggggge c bf ggggggbgggggggge ca bf gggcabfgggggggge c bd ggggccagggggggge c bd gggfbgccagggggge ac b gggfggggccagggge c db ggggggggggccagge ac db ggggggggggggccae c fb ggggggggggggggcca ca fb gggggggggggggggecca c bf ggggggggggggggge cca ca bf ggggggggggggggge cca c b ggggggggggggggge cca c ggggggggggggggge cca ac eeeeeeeeeeeeeeeg cca c cca ac cca c cca ca cca c ccaca cc ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#7877fdff b,#fd090bff c,#0403feff d,#feb2b2ff e,#372bf3ff f,#fe5f5fff g,#b1b1ffff ``` ```image fbbd dbbd dbbd dbbf bbf fbb fbbd fbbd dbbd dbbf bbf bbb fbb fbbd dbbd dbbf bbf bbb fbb fbbd cegdbbd gcccebf accceg bbeccceg fbb accceg dbbd accceg dd accceg accceg accceg accceg accceg accce acc a ```  Bingo! This close-up reveals an intersection in area A! Hmm, interesting. Let's check out another area. I'm focusing my attention on this specific region, area B.  ```palette Key,Color ,#fefefeff a,#453ff8ff b,#fd090aff c,#0505feff d,#ffb6b6ff e,#cacafeff f,#ff5858ff g,#8887feff ``` ```image aca ecce f acg bf gcc bbd ccg fbbd gcc fbbd ccg fbb gca bbb ecce bbf aca dbbf ecce dbbf acg dbbd gcc dbbd ccg fbbd gcc fbbd ccg fbb gca bbb ecce bbf aca dbbfecce dbbaca dbcc ccad gccbbd ccgfbbd gca fbb ecce bbb aca bbf ecce dbbf aca dbbf ecce dbbd acg fbbd gcc fbbd ccg fbbd gca fbb ecce bbf aca bbf ecce dbbf aca dbb ecce db acg f gcc ccg ```  The lines cross each other within area B, forming an intersection. The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#5554ffff b,#fd0708ff c,#0808feff d,#ffa2a2ff e,#f0deedff f,#ff5050ff g,#a2a2ffff ``` ```image g c cg ec ce gc c ac c aa c cg ec ce gc c gc c aa c cg db ec ebfb cg be fb gc bd bf ce bf bd gc fb bd c db be aa eb eb c be eb ca bd db c bf fb cg fb fb ec db bf ce eb bd gc be bd c bd be aa bf eb c fb db aa db db c eb fb cg b bb ec bd bfce bf bc ff cbd fb ac be db c eb b aa db be c db bd cg fb bf ec bf fb ce bf db gc bd eb ce be be gc be bd c eb bf aa db fb c fb db cg fb eb ec bf be cg bf cgbd gc bd eccg ce be fbeccg gc be d eccg c eb eccg aa db eccg c fb eccg ca fb ccg c bf ccg cg bf ccg ec b ccg ce ccg gc ccg c ccg aa ccg c ccg aa ccg c ccgcg cc ```

Alright, let's get to work and investigate this image for intersections. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#565af7ff b,#fd0b0bff c,#f56662ff d,#add4adff e,#0708feff f,#afb0fdff g,#ffbfbfff ``` ```image g bb bc bg b gb cb bc bg b gb cb bc dddddddddddddddddd bg dddddddddddddddddd b dddddddddddddddddb gb ddddddddddddddddbe cb ddddddddddddddcbea e bc dddddddddddddbbaed fe bg dddddddddddcbcdedd ef b ddddddddddbbddeadd e gb dddddddddbcddaeddd ea cb dddddddbbddddedddd e bc ddddddbbddddeadddd ae bg ddddcbdddddaeddddd e b dddbbddddddedddddd fe gb dcbcddddddefdddddd ef cb bbdddddddaeddddddd e bb gbcddddddddedddddddd aa bc bb ddddddddeddddddddd e bg bc dddddddaeddddddddd fe b cbg dddddddedddddddddd e gb bb ef fe cb cbg aa ef bc bb e e bg gbc e aa b bb aa e gb bc e fe cb cbg e e bc bb aa e bg cbg fe ef b bb e e gb gbc ea aa cb bb fe e bc bc e fe bcbg ea ef b fe e e ef ea e fe aa e e ea fe fe ef e e ef ea fe e e ae ef e fe fe e ef ef e ae ea e e ef ae ae e e fe ef ef ae e e aa ef e ae ae e e ef fe aa ef e e e aa aa e fe fe e eea fe ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#5f5ffeff b,#fe0304ff c,#fe7979ff d,#f83138ff e,#0a09fdff f,#b7b7ffff g,#ffc1c1ff ``` ```image g cb dbe gbbde cbbdee gdbbcaea cbbbgfee gdbbc feef cbbbg aea dbbd aee gbbbc feef cbbdg eea gdbbc aee cbbdg feef gdbbc eea cbbbg aee dbbd feef gbbbc eea cbbdg aee gdbbc feef cbbdg eea gdbbc aee cbbbg feef dbbd eea gbbbc aee cbbdg feef bbc eea dg aee feef eea aee ```  This close-up reveals that there are no intersections in area A. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#3c3cffff b,#fe0909ff c,#fe5959ff d,#7e7effff e,#0404feff f,#c4c4ffff g,#ffb5b5ff ``` ```image g cb bc bg b gb cb bc bg b gb cb bc bg b c gb be cb cbed e bc bbde fe bg gbg e ef b bb ed e gb gbc de ad cb cb e e bc bc ef da bg cbg de e b bb e fe gb gbg ef ef cb bb de e bc gbc e ad bg bb ef e b bc aa de b cbg e ef gb bb ef fe cb gbg aa ed bc bb e e bg gbc ef aa b bb aa e gb bc fe de cb cbg ef ef bc bb aa fe bg gbg fe ed b bb e e gb gbc aa aa cb bb fe e bc bc e de bcb ad ef c fe fe e ed ed e fe aa e e ed fe fe ef e e ed ad de e e da ed e de fe e ef ef e de ad e e ef da de e e fe ef ef da e e ad ef e aa de e e ef fe aa ef fe e ef aa aa e fe de e eaa fe ```

I have an image in front of me. I need to determine if there are any intersection segments. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0707feff b,#f3635dff c,#bbbbfeff d,#aed5aeff e,#5d62f3ff f,#ffbbbbff g,#fd0908ff ``` ```image ff bgggggggggggggbbbff fffbbbgggggggggggggbbbff fffbbbgg bg gf fg gb g fg gf g bb g fg gb g bg gf g bb g fg gf g bg gf fg gb g fg gf g bb g fg gb ceaaa g ceaaaaec ca bg ceaaaaec ca gf ceaaaaae ca g ceaaaaec ca bb ceaaaaec ca g aaaaae ca fg c ca gf ac g ac bg ac gf ac fgdddddddddddddddd ac gbddddddddddddddd ac gddddddddddddddd ac bgdddddddddddddd ae dgbddddddddddddd ae ddgddddddddddddd ae ddbgdddddddddddd ae dddgdddddddddddd ae ddddgddddddddddd ae ddddgbdddddddddd aa dddddgdddddddddd aa dddddbgddddddddd aa ddddddgddddddddd aa dddddddgdddddddd aa dddddddgbddddddd ea ddddddddgddddddd eaddddddddbgdddddd eaddddddddgbddddd eaddddddddgddddd deadddddddbgdddd ddeadddddddgdddd dddeadddddddgddd ddddeaddddddgbdd dddddeaddddddgdd ddddddeadddddbgd ddddddddadddddgd dddddddddadddddd ddddddddddaddddd cac ac ac a ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#0303ffff b,#ff3f3fff c,#a9a9ffff d,#ff8282ff e,#5c5cffff f,#ffc6c6ff g,#fe0505ff ``` ```image f b gf gg bgd fggf bgb ggd dggf bgb fggf dgg ggd fggf bgb fggd dgg bgb fggf dgb ggd fggf bgb fggf dgg bgd fggf bgb ggd dggf bgb fggf dgg c ggd ac fggf aac bgb eaac fggd eaac dgg eaac bgb eaac fggf eaac dgb eaac ggd eaae fggf caae bgb caae fggf caae dgg caae bgd caae fggf caae bgb caae ggd caae dgg caae bg caae fg caae f caae caaa ```  Hmm, it seems there's no intersection in area A after all. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#0606ffff b,#ff3838ff c,#b6b6ffff d,#ff7e7eff e,#5858ffff f,#ffc5c5ff g,#ff0303ff ``` ```image fff bbgggggggggggbbddff ffdddbbgggggggggggbbddff ffdddbbg db gf fg bd g dg gf g bb g fg gd g dg gf g bb g fg gd g db gf fg bd g dg gf g bb g fg gd ceaaa g ceaaaaec ca dg ceaaaaec ca gf ceaaaaec ca g ceaaaaec ca bb ceaaaaec ca g aaaaae ca fg c a gd ac g ac db ac gf ac fg ac bd ac g ac dg ae gf ae g ae bb ae g ae fg ae gd ae g aa dg aa gf aa g ea bb ea g ea fg ea gd ea g ea db ea gf ca fg ca bd ca g ca dg ca g ca ca a ac ac a ```

This image seems promising for intersection detection. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#0606fcff b,#e16153ff c,#8897e0ff d,#fd0706ff e,#b2d7b1ff f,#a3cda3ff g,#454be8ff ``` ```image ca agg ca a a ca a a ac a a ac ac a fffffffffffffffffffffffffffffffafffffffagffffffffffffffffffff e feeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeaeeeeeeeeeeeeeeeeeeef dd feeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeggeeeeeeeeeeeeeeeeeef db feeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeaeeeeeeeeeeeeeeeeeef bd feeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeecaeeeeeeeeeeeeeeeeef db feeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeafeeeeeeeeeeeeeeeef bd feeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeecaeeeeeeeeeeeeeeeef dd feeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeaceeeeeeeeeeeeeeef bde feeeeeeeeeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeeefaeeeeeeeeeeeeeeef dd feeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeeeeeeageeeeeeeeeeeeeef edb feeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeef dd feeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeef db feeeeeeeeeeeeeeeeeeeeeeeeageeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeefbd feeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeegaeeeeeeeeeeeedd feeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeafeeeeeeeeebdb feeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeddef feeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeaceeeeebdbeef feeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeefaeeeeddeeeef feeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeacefdbeeeeef feeeeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeabdfeeeeeef feeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeageeeeeeeef feeeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeebdfaeeeeeeeef feeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeeeeeeeeeeeeeeeddeegaeeeeeeef feeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeebdbeeeeaeeeeeeef feeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeddeeeeeecaeeeeeef feeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeefdbeeeeeeeeafeeeeef feeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeddeeeeeeeeeefaeeeeef feeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeefdbeeeeeeeeeeeeaceeeef feeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeebdfeeeeeeeeeeeeeeaeeeef feeeeeeeeeeeeeeeegaeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeageeef feeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeebdbeeeeeeeeeeeeeeeeeeaeeef feeeeeeeeeeeeeeecaeeeeeeeeeeeeeefdddeeeeeeeeeeeeeeeeeeeeggeef feeeeeeeeeeeeeeeafeeeeeeeeeeefbddbeeeeeeeeeeeeeeeeeeeeeeeaeef feeeeeeeeeeeeeefaeeeeeeeeeebddbeeeeeeeeeeeeeeeeeeeeeeeeeecaef feeeeeeeeeeeeeeaceeeeeeebddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaff feeeeeeeeeeeeeeaeeeeebddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaf feeeeeeeeeeeeeaceebddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeac feeeeeeeeeeeeeabddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeea feeeeeeeeeeebagbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeac feeeeeeeebddbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefa feeeeebddbeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefgg feebddbfeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a bdddfeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ca ddfeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ca feeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ac feeeeeeeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ac feeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gg feeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ca feeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ca feeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a feeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ac feeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef a ffffaffffffffffffffffffffffffffffffffffffffffffffffffffffffff gg a a ac cg a a gc ca a a gg a a ac cg a a gg ca a a gg a ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0404feff b,#ff4d4dff c,#7d7cfeff d,#fe0506ff e,#ffa1a2ff f,#c0c0ffff g,#3d3dfeff ``` ```image gac gac faa faa gac gag faaf faaf gag gag cag cag aaf aac cag caa aaf gac caa faa gac gac faa faaf gac gag faa faaf gac cag faaf aa aaf ac ag fa af ac cg aaf ac gag fa faaf ga cag faa aaf gac caa b faa aac edd faaf gac bddb cag faaf ddde aaf gag bdb cag faaf edde aaf cag bddb cag aaf edddb aac cag eddde faa aac bddb gac caa eddde faa gabddb gac fadde gag edddaf faaf bdddeag cag ebddb aaf aaf eddde cag ag bddb aac af eddde caa ca ddb gac gc edde faa fa bdde gac ga edddb faaf faa eddde gag faaf eddde cag gag bddb aaf aaf ddde caa cag bdb aac aaf edde faa cag bddd gac aaf bddb faa caa eddde ga gac ebddb faf faa bdddde cg faa ebdddde aa gac ebddddbe aac faaf ebddddbe caa cag ebdddbe gac aaf ebdddbe faaf cag ebddddde gag aaf ebdddddee faaf ag ebddddbe cag ac ebddddbe aa fa ebdddddb ca gcbdddddbe a ebdaadbe eeddddaa edddddbgac eddddbe faaf ebdddbe cag ebddddb aaf ebddddbe cag eddddbe aaf ebdddbe cag bddddb aac ddbe faa faa gac faaf gag aaf cag aaf cag aaf aa fa gc fa ga faa cag aaf cag aaf cag aaf gac faa gac faa gac ```  There is an intersection point visible in this close-up of area A. My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff5555ff c,#7e7effff d,#ff0404ff e,#ff9f9fff f,#c2c2ffff g,#3f37f7ff ``` ```image f ca acg fa a a ca fa af af fa a af ac a a gc e gc a dd a gg db cg a bd a ca db ca a bde a fa dd fa af ede af a dd a ac edb af a bd a gg db gc a bd a ca dd gc a ede a fa dd cg af ede a a dd fa ac db a abd fa gg af bdea a dd cg af ede a a dd fa gc edb af a bd fa cg db af a bd a cg dd gc a ede a fa bdd cg a bdde a fa bdde ca af bdde af a bddb fa ac bddb af abddb a bggb gc eddba a eddb cg gg eddb a a eddb cg ca db a a fa fa af af fa a af ac a a gc gg a a gc cg a a cg fa a af ca a a ac fa a af gc a a af cg a a gc fa a af gg fa a af cg a a gc fa a a cg a ```

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,#fe0505ff b,#0a0afdff c,#f19089ff d,#5e65e9ff e,#dac5eaff f,#aed5aeff g,#f24643ff ``` ```image e ac a ae ea a ca a cg a gc a ac a ae ea a ca a cg a gc a db ac bbeb a bb eb ae bd eb ea be eb a ebe eb ffcaffffffffffff db eb fffaffffffffffff db eb fffggfffffffffffbb ebe ffffaffffffffffbd be ffffggffffffffbd be fffffafffffffbff be fffffacffffdbfff be ffffffafffdbffff be ffffffaffbbfffff be ffffffcabbffffff be fffffffbdfffffff bd ffffffbdafffffff bd ffffdbffafffffff bd fffdbfffggffffff bd ffbbfffffaffffff bd fbbffffffggfffff bd bdffffffffafffff bd bdfffffffffacffff bd ebefffffffffffaffff bd db fffffffffffaffff bb db fffffffffffcafff bb bb ffffffffffffafff bb bd ca bb bd a bb ebe gg bb b a fbbfffffffffffffff gc ffdbffffffffffffff a fffdbfffffffffffff ac ffffdbffffffffffff a fffffdbfffffffffff ae ffffffdbffffffffff ea fffffffdbfffffffff a ffffffffdbffffffff ca fffffffffdbfffffff a ffffffffffdbfcffff gg fffffffffffgbgffff a ffffffffgaacfbffff gc fffffcaagfffffffff a fffaaaffffffffffff ac gaacffffffffffffff a eaagfffffffffffffffff ae gaae ffffffffffffffffff ea caac ffffffffffffffffff a eaag ffffffffffffffffff cg gaac ffffffffffffffffff a caac ffffffffffffffffff gg aag ffffffffffffffffff a gaac gc caag a gaae accaac ag ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0707feff c,#fb7b7eff d,#5250fdff e,#aeadfeff f,#ffc2c2ff g,#f43641ff ``` ```image faa gac caa aaf cag aaf cag faaf gac e faa db gac dbb faa dbbe gac ebbbe caa ebbb aaf ebbd cag dbbd aaf dbbe cag dbbe faaf bbbe gac ebbb faaebbd ggbbd dbbd dbbgc bbbcaa ebbbe aaf ebbd cag ebbd aaf dbbd cag dbbe faaf dbbe gac ebbbe faa ebbb gac ebbd faa dbbd gac bbe cag be aaf e cag aaf cag faaf gac faa gac ```  There is an intersection point visible in this close-up of area A. Now, let's scrutinize the next spot. Could this be where the intersection is hiding, in area B?  ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0302fdff c,#ff8686ff d,#5a58fcff e,#a3a3ffff f,#ffbfbfff g,#f53b44ff ``` ```image dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe dbbe ebbe ebbd ebbd ebbd ebbd ebbd ebbd ebbd cf ebbdaag fcgbbbgc cgaaagbbd fgaaaagf ebbd cgaaagc ebd fgaaaagf fcaaaagc cgaaaacf fgaaaagf caaaagc aaacf gf ```  The close-up clearly shows an intersection point in area B. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0909ffff c,#fd8d8fff d,#5d5cfeff e,#b9b9ffff f,#ffccccff g,#fc4648ff ``` ```image f ac a af fa a ca a cg a gc a ac a af fa a ca a cg a gc a db ac dbeb a bb eb af bd eb fa be eb a ebe eb ca db eb a db eb cg bb b a bd be gc bd be a ebe be ac eb be a db be af bb be fabd be bd be bca bd eb a bd db gg bd bb a bd bb gc bd bd a bd be ac bd ebe a bd db af bb db fa bb bb a bb bd ca bb be a bb ebe gg db b a db gc db a db ac db a db af db fa db a eb ca eb a eb c gg fgbg a gaaceb gc caag e a gaaf af caac fa faag af gaaf fa caac a faag cg gaaf a caac gg faag a gaac gc caag a gaaf afcaac fag ```

I'm ready to tackle this image and find those intersections! These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#8794e3ff b,#fb0908ff c,#0506fdff d,#b1d7b1ff e,#9bc498ff f,#454aefff g,#e36f62ff ``` ```image dddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddddddddddddddddddddddd dddddddddddddddddddddddddddddddddddedddddddddddddddddddd dddddddddddddddddddddddddddddddaccccdddddddddddddddddddd dddddddddddddddddddddddddddefcccaddffddddddddddddddddddd ddddddddddddddddddddddddfcccadddddddcddddddddddddddddddd ddddddddddddddddddddacccfdddddddddddacdddddddddddddddddd ddddddddddddddddafccfadddddddddddddddceddddddddddddddddd dddddddddddddfcccadddddddddddddddddddecddddddddddddddddd dddddddddfcccfddddddddddddddddddddddddcadddddddddddddddd dddddacccfedddddddddddddddddddddddggdddcdddddddddddddddd defcccadddddddddddddddddddddggbbbbbgbbgcfddddddddddddddd cccadddddddddddddddddddggbbbbbgddddddddgbcgdddddddddddddd ddddddddddddddddegbbbbbgedddddddddddddddffbbgddddddddddd ddddddddddegbbbbbgeddddddddddddddddddddddcdebbbgdddddddd ddddegbbbbbgeddddddddddddddddddddddddddddacdddebbbgddddd gbbbbbggdddddddddddddddddddddddddddddddddddcddddddebbbedd ggdddddddddddddddddddddddddddddddddddddddddacddddddddgbbbd dddddddddddddddddddddddddddddddddddddddddddcaddddddddddgbbb ddddddddddddddddddddddddddddddddddddddddddddcddddddddddd gbbb ddddddddddddddddddddddddddddddddddddddddddddcfdddddddddd gbbg dddddddddddddddddddddddddddddddddddddddddddddcdddddddddd gbbg dddddddddddddddddddddddddddddddddddddddddddddffddddddddd gbbg ddddddddddddddddddddddddddddddddddddddddddddddcddddddddd gbbg ddddddddddddddddddddddddddddddddddddddddddddddfcdddddddd gbbg dddddddddddddddddddddddddddddddddddddddddddddddcdddddddd gbb dddddddddddddddddddddddddddddddddddddddddddddddacddddddd ddddddddddddddddddddddddddddddddddddddddddddddddcadddddd dddddddddddddddddddddddddddddddddddddddddddddddddcdddddd dddddddddddddddddddddddddddddddddddddddddddddddddcaddddd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeceeeee ff c af c ac c c ca c ff c ff c ac c c ca c ca c ff c ac c ac ca c ca c ff c ac c ac c c ca c ff c af c ac c c ca c ff c ff c ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#7f7fffff b,#fe0707ff c,#0404feff d,#feb0b0ff e,#c1c1feff f,#403ffdff g,#fd5d5fff ``` ```image ee eafccce eacccccccf eafcccccfaeecce afcccccfae acf efcccccfa cce eafccccfae acc eafcccccfae cca eafccccccae acc eaccccccfae fca eafcccccfae ecce eafcccccfae fcf efccccccfa ecce eafcccccfae acf eafcccccfae cce eafccccccae acf eaccccccfae ddggd cca eafcccccfae ddggbbbbbbbbgd acc eafcccccfae ddggbbbbbbbbbgggbbbbbgdfca efccccccfa dggbbbbbbbbggdd dgbbbbgcc cfae ddggbbbbbbbbbgdd dgccbbgd ddggbbbbbbbbbggd fcfbbbbgd ddggbbbbbbbbbggdd eccedgbbbbgd ddggbbbbbbbbbggdd acf dbbbbbgd dggbbbbbbbbbggdd cca gbbbbbgd ddggbbbbbbbbggdd acc dgbbbbbgd ddggbbbbbbbbbgdd fca dgbbbbbgd dggbbbbbbbbbggd ecc dgbbbbbgd bbbbbbggdd fca dgbbbbbgd ggdd ecce dgbbbbb fcf dgbb ecce d acf cce acc cca ecc fca ecce fcf ecce acf cce acc cca acc fca ecce fcf ecce acf cce acf cca ```  There's no doubt about it - this is an intersection in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#7c7cffff b,#fe0606ff c,#0303ffff d,#ffaaaaff e,#c2c2ffff f,#3634fdff g,#ff5a5aff ``` ```image e efccc efccfe af accca c accca ac efccfe ce accca ec accca ce efccfe dg c efccfe dgbbbbggbbgfa ccca dgbbbbgd gbcd dgbbbbbg ffbbd gbbbbbgd c gbbd dgbbbbgd ac dbbbd dgbbbbgd c dbbbd gd ec dbbbd ce dbbb c dbbg fa dbbg c dbbg ff gbbg c gbbg af gbbg c gbb ec ce c ca c fa c af c ec ce ec ce c fa c af c ac ce ec ce c fa c af c ac c ec ce c fa c ff c af c ec ce c ca c fa c af c ec ce ec ce c fa c af c ```

I'm analyzing this image to identify any points where lines intersect. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#fc0706ff b,#0a08f9ff c,#db9584ff d,#6271e1ff e,#b1d7b2ff f,#a3cda4ff g,#eb4e45ff ``` ```image ca agg fffffffffffffcafaffffffffffffffffffffffffffffffffffffffff feeeeeeeeeeeeafecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeefaeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeaceeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bd feeeeeeeeeeeaeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbd feeeeeeeeeeaceeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbe feeeeeeeeeeaeeeeeeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ebbb feeeeeeeeeggeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbd feeeeeeeeeaeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbd feeeeeeeeggeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbd feeeeeeeeaeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbdeeeeeeecaeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbfeeeeafeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fefbbbfcaeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeedbbbeeeeeeeeeeeeeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeefadbbdeeeeeeeeeeeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeaceeedbbdeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeaeeeeeeebbfeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeggeeeeeeeefbfeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeaeeeeeeeeeefbfeeeeeeegaeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeggeeeeeeeeeeefbfeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeaeeeeeeeeeeeeefbfeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeef feecaeeeeeeeeeeeeeeebfeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeef feeaeeeeeeeeeeeeeeeeebdeeeeefaeeeeeeeeeeeeeeeeeeeeeeeeeef fecaeeeeeeeeeeeeeeeeeebdeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeef feafeeeeeeeeeeeeeeeeeeebdeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeef ffaeeeeeeeeeeeeeeeeeeeeebdeeeeggeeeeeeeeeeeeeeeeeeeeeeeef faceeeeeeeeeeeeeeeeeeeeeebdeeeeaeeeeeeeeeeeeeeeeeeeeeeeef faeeeeeeeeeeeeeeeeeeeeeeeebdeeegaeeeeeeeeeeeeeeeeeeeeeeef aceeeeeeeeeeeeeeeeeeeeeeeeebdeeeaeeeeeeeeeeeeeeeeeeeeeeef aeeeeeeeeeeeeeeeeeeeeeeeeeeebdeecaeeeeeeeeeeeeeeeeeeeeeef ggeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeafeeeeeeeeeeeeeeeeeeeeef afeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdefaeeeeeeeeeeeeeeeeeeeeef cgfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeaceeeeeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeaeeeeeeeeeeeeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbageeeeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaeeeeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbgeeeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbbeeeeeeeeeeeeeeef gc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbeeeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbeeeeeeeeeeeeef gg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeagdbeeeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaedbeeeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggedbeeeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeedbeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeedbeeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeedbeeeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeedbeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeedbeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeefbeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageeeefbfeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeefbfef gg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeefbff a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeefbf cg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeeeeeefbe a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeefb ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeef b a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeef gc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeef gg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaff ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaf a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeac ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeea a ffffffffffffffffffffffffffffffffffffffffffffffffffffffffag a a ac gg a ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0b09fcff c,#fe8788ff d,#6360fbff e,#fec8c8ff f,#b4b4ffff g,#fe3f3fff ``` ```image gacaac aa caa eae ca gg gc eae eae aa aae cag gag aac aae ac aa ea ca gc gc ga ag eaa aae cag gag ag ca ae ac cg ca ac ac bbdf ga gac dbbbbf eaa eaa dbbbbd gac ga fdbbbdag cg fdbbbdf ac bbbbdf aa cg dbbbbd caa ac fbbbbd ga ca fdbbb eae eaa fbb eae gac bbb ag aa bb aac eae bb aac cg bbbf caa ae bbb ga ca bbf eae cag bbf eae aac dbb ag aa dbf aae ea bbf aa gc dbb ca eae dbf gc eaa bbf ag cag dbb aae aae dbf gag ac bbd ca ca dbbd ac gc fbb ca ga fbd aa aa bbd gac ag fbb eaa ae fbd ga e bbd cg fbb ac fbd aa bbbcaa fbb ga fbbeae bbbae bbag bbac bbbc bbb bbf gbbf ebbb abbf aadbf aadbb ca dbf gc dbf ag dbb aae dbd gag dbd ca fbbd ac fbb ca fbd aa bbd gac fbb eaa fbd eae bbd cg fbb ac fbd aa fbb caa fbb gac fbb eaa bb eae bb cg bbf ae bb aac b caa ga gg eae ag cag aa ca gc ag aae gag ca ac ca aa gac eaa eae cg ac aa ca ```  Area A contains an intersection. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0906fcff c,#ff7a7aff d,#6563fdff e,#ffc2c2ff f,#c2c2ffff g,#ff3939ff ``` ```image e ca acg ea a ae ca ea ae ae ea bd a ae dbbf gc a fbbbf a gc fbbbf gc a fbbd a cg dbbd cg a dbbd a ca dbbf ea a fbbbf a ea fbbbfea ae fbbd a adbbd ac ae dbbd a a db gg gc fb a a fbf cg cg bf a a bf ea cg bf ae a bf a ea bf ac ae bf a ea bf gc ae bd a a bd cg gc bd a a bd ea gc bd ae a bd ea cg bd ae a bd a ea bbgc a bba ea bbg ae bb a bb ae bb a ebb gc adb a adb cg gcdb a a db cg gg db a a db ea ca fb ae a fb a ea fb ae ae fb a a fb gc ac fb a a fb gc gg fbf a a bf cg cg bf a a bf ea ea b a ae ea a ae ac a a ae gc a a gc cg a a cg ea a ae cg ea a ae ea a ae gc a a ae cg a ```

This image looks interesting. I wonder if there are any intersections hidden in there? I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#4e4effff b,#ff0303ff c,#0606ffff d,#ff9292ff e,#9d9dffff f,#ebdaedff g,#ff3737ff ``` ```image e accce eaccaf ecccaf eccce faccce faccae ecccaf eccca faccce facc ac ca ca ce cf fc bg ec dbbd ac fgbg ac dbbd ca fgbg ce dbbd cf gbg c dbbd fc gbgf ec dbbd ac gbgf ca dbbd ce gbbf ce dbbd cf gbg fc bg ec bg ac bd aa bd ca bf ce fb cf fb fc db ec db ec gb ac gg ca bg ce bd cf bd c bf fc bf ec fb ac fb ca db ca db ce gb cf gg fc bg ec bd ac bd ac bf ca bf ce fb cf fb fc db db gb gg bg bd bd bf bf fb db db gb gb gg bg bd bd b ```

Alright, let's get to work and investigate this image for intersections. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#ff5959ff b,#0505ffff c,#ff0808ff d,#5050ffff e,#a3a3ffff f,#ffa2a2ff g,#f0dcebff ``` ```image f gc cg ca fc c cf ac gc cg ca fc c cf ac gc cg ca fc c cf ac gc cg d aa eb fc gb c bg cf be fc bd c db cf gb aa b gc be cg bd ca db fc eb c gb cf bg ac be gc dd cg eb ca gb fc bg c be cf bd ca ac db acc gc eb fccg cg b fccf ca be gccf fc bd cca c db aca cf eb acc ac gb fccg gc bg fccg cg be gccf ca bd gccf fc db cca c gb aca cf b acc ac be fccg gc bd fcccg db ga eb gb bg be dd eb gb bg be bd db eb b be bd ggeeddbbbbbbbbbbd geedddbbbbbbbbbbbddeeeg bbbbbbdddeeg ```

I'm analyzing this image to identify any points where lines intersect. 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,#8d97ebff b,#e37467ff c,#0505fdff d,#f90e0dff e,#97c896ff f,#4649edff g,#b1d7b1ff ``` ```image a ca c c c c ac c af c fa c ca c c c c b ac bdeeeeeeceeeeeeeeeeeeeeeeeeeeeeeg ddgggggffgggggggggggggggggggggge gddgggggcgggggggggggggggggggggge ggddggggffggggggggggggggggggggge gggddggggcggggggggggggggggggggge ggggddgggcagggggggggggggggggggge gggggdbgggcgggggggggggggggggggge ggggggdbggceggggggggggggggggggge gggggggdbgacggggggggggggggggggge ggggggggdbgcggggggggggggggggggge gggggggggdbacgggggggggggggggggge ggggggggggdbcgggggggggggggggggge gggggggggggdffggggggggggggggggge ggggggggggggdcggggggggggggggggge gggggggggggggcfgggggggggggggggge ggggggggggggggcgggggggggggggggge ggggggggggggggcdggggggggggggggge gggggggggggggggcdgggggggggggggge gggggggggggggggcedggggggggggggge gggggggggggggggacbdgggggggggggge ggggggggggggggggcgbdggggggggggge ggggggggggggggggacgbdgggggggggge gggggggggggggggggcggbdggggggggge gggggggggggggggggffggbdgggggggge ggggggggggggggggggcgggbdggggggge ggggggggggggggggggffgggddgggggge gggggggggggggggggggcggggddggggge gggggggggggggggggggcaggggddgggge ggggggggggggggggggggcgggggddggge ggggggggggggggggggggcegggggddgge ggggggggggggggggggggacggggggddge gggggggggggggggggggggcgggggggdbe gggggggggggggggggggggacgggggggdb eeeeeeeeeeeeeeeeeeeeeeceeeeeeeedb ff db c db fa dg c dd ca gdd c bdd c bdd eeeeeeeeeeeeeeeeeeeeeee ac bdb ggggggggggggggggggggggg c bdb ggggggggggggggggggggggg ac ddb ggggggggggggggggggggggg fc c ddbgggggggggggggggggggggg acca ff ddbgggggggggggggggggggfcc c ggddegggggggggggggggccf fa gggeddgggggggggggaccagg c gggggeddgggggggfccggggg ca gggggggbddggaccfggggggg c gggggggggbfcceggggggggg c ggggggggccfbddggggggggg ac gggggaccaggggbdbggggggg c gggfccgggggggggddbggggg af accfgggggggggggggddbggg c fccegggggggggggggggggddbg ff ccf gggggggggggggggggggggddg c acca ggggggggggggggggggggggedd fa fcf ggggggggggggggggggggggg dd c acca ggggggggggggggggggggggg gdd cafcc ggggggggggggggggggggggg b cf eeeeeeeeeeeeeeeeeeeeeee ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#a9a9feff b,#f6353dff c,#0907fcff d,#fe0405ff e,#fdc0c2ff f,#5a59fdff g,#ff7777ff ``` ```image dde cca bdde acc bdde cca bdde fcf bdde cca bdde fcf bdb acc bdb fcf eddb acc eddb cca eddb acc eddb cca eddb acc eddb cca eddg fcf eddg cca eddg fcf eddg acc gddg fcf gddg acc gddg cca gdde acc gdde cca gddeacc gddecca bddfcf bddcca bdccf bbcc bccf bcce ccb accb ccbb accdb ccbdb fcfddb cceddb fcfeddb acc eddg fcf eddg acc eddg cca eddg acc gddg cca gddg fcf gddg cca gdde fcf gdde cc gdde fcf gdde acc bdde fcf bdde acc bdde cca bdde acc bdde cca bdde fcf bdb cca bdb fcf eddb cc eddb fcf eddb acc eddb fcf eddb acc eddb cca eddg acc edd ```  The evidence is clear: this is an intersection in area A. Hmm, interesting. Let's check out another area. Let's get to the bottom of what's happening inside area B.  ```palette Key,Color ,#fefefeff a,#9c9bfeff b,#f83940ff c,#0504feff d,#ff0505ff e,#fe8a8aff f,#4c49fbff g,#f0d5e3ff ``` ```image e dde dddbe edddbg gf edddbg afcc gedddbg accccf gedddbg gfccccag gbdddeg afcccfa gbdddeg gfccccfg gbddde afcccca gbddde gaccccfa ebddde afccccag edddbeafcccfa ebfccccfg afccccbbg gaccccfaedddbg afccccag gedddbg afcccfa gbdddbg gfccccfg gbdddeg afcccfa gbddde gaccccfa gbddde afccccag ebddde accccfa edddbe cccfg edddbe fa edddbg eddd ged g ```  Wow! I can see an intersection so clearly in area B! There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#8887feff b,#fb484bff c,#0605feff d,#ff0808ff e,#fe9f9fff f,#4a45faff g,#c5c4fdff ``` ```image g ca c cg gc c ac c af c fa c ca c cg gc c e ac bd c bd af bd c dd fa db c db ca db c db cg de gc de c deac dec dff dc ca c cb cd cgd gced c ed ac ed c ed af bd c bd fa bd c bd cg bd c dd cg db gc db c db ac db c de ff de c de fa de c dd cg edd c edd cg edb gc bdb c bdb ac bde fc c dde gcca ff dde accg c dde ccf fa dd acca c edd fcc cg edd gcca c efccg cg ccfedb gc accg bdb c fcf bde af gcca bde c fccg dde ff gccf dde c accg dd fa fcf edd c gcca edd cgfccg e cf ```

I'm approaching this image with caution. Intersections might be tricky to spot. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0908ff c,#8a8df8ff d,#f4706bff e,#e9cde2ff f,#4446f2ff g,#aed5aeff ``` ```image e caac a faf ea caae ae caac a aaf ac faa a caae fc eaac a faf ff caae a eaac ca aaf a faa ea caac ae eaac a faf ac caae a eaac fc faf a c ff a ca a ea ae a ac a gggggggggggggffg gggggggggggggagg ggggggggggggffgg ggggggggggggaggg gggggggggggcaggg d gggggggggggagggg dbd gggggggggggagggg dbd ggggggggggaggggg dbd ggggggggggaggggg dbbgggggggggacggggg dbbgggggggagggggg gdbbggggffgggggg gggdbbggaggggggg gggggdbffggggggg gggggggabbgggggg ggggggcagdbbgggg ggggggaggggdbbgg ggggggaggggggdbbe gggggagggggggggdbbe gggggagggggggggg ebbe ggggacgggggggggg ebbe ggggaggggggggggg ebbe gggffggggggggggg ebbe gggagggggggggggg ebbe ggffgggggggggggg ebbe ggaggggggggggggg bbd gcaggggggggggggg bbd gagggggggggggggg bbd gagggggggggggggg bbd ae dbd a dbd ac dbd a dbb fc dbb a dbb cf dbb a ebbe ca ebbe a ebbe ea ebbe ae ebbe a bbd ac bbd a bbd fc bb a cf a ca a ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0404ff c,#8989feff d,#ff9797ff e,#f9262bff f,#4441fbff g,#cccbfeff ``` ```image gaa fac gaag faf gaag caf aag caf aac caa fac gaa fac gaag faf gaag caf aag caf d aac bed caa bbbed fac dbbbed gaa dbbbed fac dbbbed gaag dbbbed faf dbbbedgaag dbbbfaf deaaed caabbed aacdebbbd caa debbbd fac debbbd gaa debbbd fac debbbd gaag debbb faf deb gaag d caf aag caf aac caa fac gaa fac gaag faf gaag caf aag caf aac caa fac gaa ```  There is an intersection point visible in this close-up of area A. I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#0505ffff b,#fe0808ff c,#8888ffff d,#ff6767ff e,#ffbdbdff f,#4643fbff g,#c9c9ffff ``` ```image g caac a faf ga caag ag gaac a aaf ag faa a caag fc gaac a faf ff caag a gaac ca aaf a faa ga caag ag gaac a faf ag caag a gaac fc faf a c cf a ca a ga ag a ac a fc a cf a ca d a dbd ga dbd ag dbd a dbd ac dbb a dbb fc dbb a dbff abb ca ebb a ebb ga ebb ag ebb a ebbe ac ebbe a ebbe fc ebbe a ebbe cf bbe a bbe ca bbd a bbd ga bbd ag dbd a dbd ac dbd a dbb fc dbb a dbb cf ebb a ebb ca ebbe a ebbe ga ebbe ag bbe a bbe ac bbd a bbd fc bb a cf a ca a ```

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,#969bf5ff b,#fe0908ff c,#0606feff d,#f66d69ff e,#eed8e8ff f,#add4adff g,#4a49f5ff ``` ```image a gg ce ec gc ca c ac ca c ec gg ce c gc ca c ac cg ce ec gg ce c ac ca c ac cg ce ec gg ca c db ac dbb ca bbd c ebbd ac dbbe gg dbb ce ebbd ec ebbe gc dbbe ca bbd fcfffffffffffffffff ebbd fgcffffffffffffffff dbbe ffcgfffffffffffffff dbbe fffcfffffffffffffff bbd fffacfffffffffffffbbd ffffcgfffffffffdbbf fffffcfffffffdbbfff ffffffcffffbbdfffff ffffffgcfbbdfffffff fffffffgcgfffffffff fffffdbffccafffffff ffffbbfffffccffffff fffbdfffffffacgffff fdbfffffffffffgcaff bbffffffffffffffccf ebdffffffffffffffffacg dbefffffffffffffffffffgca bb fffffffffffffffffff cce ebd fffffffffffffffffff ecc dbe acg bb gca ebd cc dbe acg bb gca ebd cce dbe ecc bb acg ebd gca dbe cc bb acg ebd gca dbe cce bb ecc ebd acg dbe g bb bd ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#7877feff b,#fe0809ff c,#0404feff d,#fd6163ff e,#feb7b7ff f,#bebefeff g,#3a30f5ff ``` ```image acc gcg fcca accf gcg cca fccf acg gca fccf e acc edb gcg ebbbb fcca dbbbbd accf edbbbbe gcg edbbbde cca dbbbbde fccf dbbbbd accfedbbbbe gccgbbde ebgccca ebbbdgcccf dbbd fgccgf ebbbd accca ebbbe accca dbbd fgccgf ebbbd fcccgf ebbbe accca dbbd fgcccf ebbbd fgccgf bbbe accc bd ac d f ```  There is an intersection point visible in this close-up of area A. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#7776feff b,#ff0909ff c,#0404ffff d,#ff7171ff e,#fed6d6ff f,#c1c1ffff g,#3935faff ``` ```image f gg cf c ag cf c ac ca c fc gg cf c ac cf c fc ca c fc gg cf c ac ca c fc ga c fc gg cf c db ac dbb ca bbd c ebbd fc dbbe gg dbb cf ebbd fc ebbe ag dbbe cf bbd c ebbd ac dbbe ca dbb c bbd fc ebbd gg dbbe cf dbb c bbd acebbd egca db gcf bb cc ebd fcg dbe gcf bb cc ebd fcg dbe aca bb gcf ebd cc dbe acg bb gcf ebd cc dbe fcg bb aca ebd ccf dbe fcc bb aca ebd gcf dbe cc bb fcg ebd aca dbe ccf bb fcc ebd aca dbe g bb bd ```

I'm approaching this image with caution. Intersections might be tricky to spot. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fd0808ff b,#0606fdff c,#f3635dff d,#6672e4ff e,#c9c9feff f,#aed4adff g,#ffb1b1ff ``` ```image g ag a ag ga a ga a cc a cc a ag a ag ga a ga a cc a cc e a ebb facfffffffffffff ebbe ffafffffffffffff ebbe ffafffffffffffff ebbe fffaffffffffffff ebbe fffaffffffffffff ebbe fffcafffffffffff ebbe ffffafffffffffff ebbe ffffccffffffffff ebbe be fffffaffffffffff ebbe ebbbe fffffacfffffffff ebbe ebbbe ffffffafffffffff ebbe ebbbfffffacffffffff bbe dbbbfffaffffffff bbe fffdbbbaffffffff bbe ffffffdbbbffffff bbe ffffffffadbbbfff bbe ffffffffcaffdbbbe bbe fffffffffafffffdbbd bbe fffffffffccfffff dbbd bbe ffffffffffafffff dbbd bbe ffffffffffacffff dbbbbe fffffffffffaffff e fffffffffffacfff ffffffffffffafff ffffffffffffafff fffffffffffffaff fffffffffffffaff fffffffffffffcaf ffffffffffffffaf cc a cc a ag a a ga a ga a cc a ac a ag a a caaa ga gcaaac a gaaaag ga gaaaag a caaacg cc gcaaac a gcaaac ac gaaaag a caaacg ag caaacg aac ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0302fdff c,#ff7e7eff d,#9291fdff e,#423af6ff f,#fb373bff g,#ffbfbfff ``` ```image aag caf aag caf gaag fac gaa fac gaa fac caa aag caf aag caf gaag fac gaa fac gaa fac caa bdd aag bbbbd caf debbbbed aag debbbbed caf debbbbedaag debbbbbe debbbbed febbbbed gaadebbbbed fac debbbbed caf debbbbe aag debb caf d aag caf gaag fac gaa fac gaa fac caf aag caf aag caf gaag fac gaa fac gaa fac caf aag caf ```  Bingo! This close-up reveals an intersection in area A! The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#fe0506ff b,#0605feff c,#ff8585ff d,#6969feff e,#c4c4ffff f,#ff4847ff g,#ffc6c6ff ``` ```image g ac a ag ga a ca a cf a fc a ac a ag ga a ca a cf a fc e a ebb ac ebbe a ebbe ag ebbe ga ebbe a ebbe ca ebbe a ebbe cf bbe be a bbe ebbbe fc bbe ebbbe a bbe ebbbe ag bbe ebbbe a bbe ebbbag bbe ebbbe bbe adbbd bbe ca dbbd bbe a dbbd bbe cf dbbd bbe a dbbd bbe fc dbbbbe a e ag a ag ga a ca a ff a fc a ag a ag ga a ca a ff a fc a ag a ag gcaaa ga gfaaac a gfaaac cf caaafg a caaafg ff gfaaafg a gfaaac fc caaaac a caaafg aggfaaafg gaac ```

This image seems promising for intersection detection. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0909fbff b,#e04b4aff c,#6167dfff d,#b2d7b2ff e,#dd9887ff f,#fc0607ff g,#a1cca2ff ``` ```image e f fe f f ef f ef f bb f fe fe f f f fe ef f f fbggggggggggggggggggggggggggggggggggggggggggggggggggggg ef gfddddddddddddddddddddddddddddddddddddddddddddddddddddg f gbbdddddddddddddddddddddddddddddddddddddddddddddddddddg bb gdfdddddddddddddddddddddddddddddddddddddddddddddddddddg f gdbbddddddddddddddddddddddddddddddddddddddddddddddddddg fe gddfddddddddddddddddddddddddddddddddddddddddddddddddddg f gddbfdddddddddddddddddddddddddddddddddddddddddddddddddg fe gdddfdddddddddddddddddddddddddddddddddddddddddddddddddg ef c gdddefddddddddddddddddddddddddddddddddddddddddddddddddg f ccgddddfgdddddddddddddddddddddddddddddddddddddddddddddddg ef agddddefdddddddddddddddddddddddddddddddddddddddddddddddg f adddddfeddddddddddddddddddddddddddddddddddddddddddddddg bb aaddddgfddddddddddddddddddddddddddddddddddddddddddddddg f gagddddfedddddddddddddddddddddddddddddddddddddddddddddg fe ggaddddgfdddddddddddddddddddddddddddddddddddddddddddddg f a gdcaddddfeddddddddddddddddddddddddddddddddddddddddddddg fe ac gddagddddfddddddddddddddddddddddddddddddddddddddddddddg f ac gddgaddddfbdddddddddddddddddddddddddddddddddddddddddddg f aa gdddcaddddfdddddddddddddddddddddddddddddddddddddddddddg ef ca gddddagdddbbddddddddddddddddddddddddddddddddddddddddddg f ca gdddddaddddfddddddddddddddddddddddddddddddddddddddddddg bb ca gdddddcadddbbdddddddddddddddddddddddddddddddddddddddddg f da gddddddagdddfdddddddddddddddddddddddddddddddddddddddddg bb a gdddddddadddbfddddddddddddddddddddddddddddddddddddddddg f a gdddddddcadddfddddddddddddddddddddddddddddddddddddddddgfe a gddddddddacddefdddddddddddddddddddddddddddddddddddddddgf ad gdddddddddadddfgddddddddddddddddddddddddddddddddddddddfd ac gdddddddddcaddefdddddddddddddddddddddddddddddddddddddef ac gddddddddddacddfeddddddddddddddddddddddddddddddddddddfg ac gdddddddddddaddgfdddddddddddddddddddddddddddddddddddbfg aa gdddddddddddcaddfeddddddddddddddddddddddddddddddddddfdg ca gddddddddddddacddfdddddddddddddddddddddddddddddddddbbdg ca gdddddddddddddaddfeddddddddddddddddddddddddddddddddfddg ca gdddddddddddddcaddfdddddddddddddddddddddddddddddddfeddg da gddddddddddddddacdfbdddddddddddddddddddddddddddddgfdddg a gdddddddddddddddaddfdddddddddddddddddddddddddddddfedddg a gdddddddddddddddcadbbdddddddddddddddddddddddddddefddddg a gddddddddddddddddacdfdddddddddddddddddddddddddddfdddddg ad gdddddddddddddddddadbbdddddddddddddddddddddddddbfdddddgac gdddddddddddddddddcadfdddddddddddddddddddddddddfddddddac gddddddddddddddddddacbfdddddddddddddddddddddddbbdddddaa gdddddddddddddddddddadfdddddddddddddddddddddddfdddddaag gdddddddddddddddddddcaefdddddddddddddddddddddfbddddcadg gddddddddddddddddddddacfgddddddddddddddddddddfddddcaddg gdddddddddddddddddddddaefdddddddddddddddddddfedddcadddg gdddddddddddddddddddddcafedddddddddddddddddefdddgaddddg gddddddddddddddddddddddacfdddddddddddddddddfgddgadddddg gdddddddddddddddddddddddafedddddddddddddddefdddagdddddg gdddddddddddddddddddddddcafdddddddddddddddfdddagddddddg gddddddddddddddddddddddddacedddddddddddddbbddacdddddddg gdddddddddddddddddddddddddafdddddddddddddfddacddddddddg gdddddddddddddddddddddddddcabdddddddddddfbdacdddddddddg gddddddddddddddddddddddddddacdddddddddddfdaaddddddddddg gdddddddddddddddddddddddddddabdddddddddfeaadddddddddddg gdddddddddddddddddddddddddddgaddddddddefcaddddddddddddg gddddddddddddddddddddddddddddacdddddddfcadddddddddddddg gdddddddddddddddddddddddddddddagdddddebaddddddddddddddg gdddddddddddddddddddddddddddddbadddddfadddddddddddddddg gddddddddddddddddddddddddddddddacdddbaddddddddddddddddg gddddddddddddddddddddddddddddddeagddagddddddddddddddddg gdddddddddddddddddddddddddddddddfadabdddddddddddddddddg gdddddddddddddddddddddddddddddddeaabddddddddddddddddddg gddddddddddddddddddddddddddddddddfbeddddddddddddddddddg gddddddddddddddddddddddddddddddddgfdddddddddddddddddddg gdddddddddddddddddddddddddddddddddddddddddddddddddddddg gdddddddddddddddddddddddddddddddddddddddddddddddddddddg gdddddddddddddddddddddddddddddddddddddddddddddddddddddg ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#0806fcff b,#f74d54ff c,#534af6ff d,#a09ffeff e,#fe9c9dff f,#fc0608ff g,#f0d9e7ff ``` ```image fe ff efg bb efg fb bfb gffg bfb gff gfe ef fe ff eff ffe eff g efg c bb ad gfg aa fb gad bfb dag gffe ac bfb aad gff cac fe gaa ef dag fe ca ff aag effg caa bfb aac eff daa bf ac bb dad gfg aa fb aac ffe caa gffe aa eff dad ff ca ef aad ef g caa fe b aac ffg gf ca effg ff ac bfb fe gad gff ef aa bf fe gaad bb gff daa gfe bfb ca fb gffg gad ffe bfb ac ffe fe aad eff ef daag ff fe cac ef ef dag efg bfb cc fb gffg gad ffg bfb aag bfb ffg gaad bfb efg daa gff fe ca bf ef gad gfe gff d ac gfe gffg aa aad ff bfb gac daagffe ffg gac caceff fb cag dageff fe caag cc ff ef aad gadefg gff dad cacefg gffe daa gaadfb bfb daac daaffg ffg aac cabfb fb gac dabfb fe gaa aaff ef caa aacf ff caag daafe bff aag aafe bfb dad daff ffg daa cafe fb daad acf efg aac caag ef gac aab ff gaa dafg eff aaa cab gffecaag aab ffgcag caag fbcad aac efdaa daa fcaad gac ffac ead efac aa gfaa aac baac ecaa aag baa cag efad cab gfaaab baabf gfbfe ffb ee ```  An intersection is present within area A. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#0807fdff b,#f42d38ff c,#584ef5ff d,#aaaaffff e,#feb9b9ff f,#fe0303ff g,#fa7276ff ``` ```image g f fe ef fe ef f gb f bg f fg fe f f fe fe ef f f bg gb f f bg bb f f gb bg f f gb fe f ef d ef f cc f gf a ef f a fe gb cc ef f ad fe bg a f f a cc fe fe ac ad f ef ac a bg f aa ca f ef ca ad bg f ca a f gb da ca gb f da ad f bg da a gb f a ca f fe a ad ef ef ad a f fe ad ca ef ef ac ad fe f ac a ef gb aa ca fe f ca ad f bg ca a fe f da da f fg da ad bg f a a f fe a da bg ef ad ad f f ad a gb gb ad da f f ac adgb bb ac a f f ca daef bg ca adf f ca aef fe da dafe ef da acf f a afe gf a daf f ad ace gb ad af f ad dag bg ac ac f ac ag feca da efca ac fca a eba ga ba ac ga ea a ba ag eaab fbe ef ```

This image might have some surprises. Let's look for intersections carefully. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#5055f6ff b,#fe0606ff c,#a5a8f8ff d,#fca09fff e,#0707feff f,#e54642ff g,#aed5aeff ``` ```image bbbd bd bbd e db bbd ae db bbd e fb bbd aa bf bbd e bf bbd ec bd bbd gggggggggggggegg db bbd ggggggggggggeggg fb bbd gggggggggggaeggg bb bbd gggggggggggegggg bf bbd ggggggggggaagggg bd fbdggggggggggeggggg dbd fbfgggggggeaggggg db gfbfgggggegggggg fb gggfbfggecgggggg bb gggggfbfeggggggg bf gggggggebfgggggg bd ggggggaegfbfgggg db ggggggeggggfbfgg ggggggggggggggfb gggggeaggggggfbf gggggggggggggbb gggggegggggggggfb ggggggggggggbfg ggggecgggggggggg gggggggggggbfgg ggggeggggggggggg ggggggggggbdggg gggegggggggggggg ggggggggfbggggg ggaegggggggggggg gggggggfbgggggg ggeggggggggggggg ggggggbbggggggg aa gggggbfgggggggg e gggeffggggggggg ec gggbegggggggggg e ggggceggggggggg ec gggggeagggggggg ce ggggggecggggggg e gggggggeggggggg aa gggggggaegggggg e ggggggggeaggggg aa gggggggggeggggg e ggggggggggegggg ec ggggggggggaeggg ce ec e e ce ce e ea aa e e e ec ae e ec ec e ce ce e aa aa ec e e ea ce e ea ec e ce e e ae ce ec e e aa ce e aa ec ec e e ec ce ce ea e e aa ce e ae ea ec e e ec ce ce ea e e ce e e ae aa ec e eec ce ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#4d4dfeff b,#fe0808ff c,#b3b3ffff d,#fcbabdff e,#0606feff f,#fe5c5cff g,#7a098dff ``` ```image f fb dbbb dbbbd dbbf fbbf fbbf fbbd dbbbd dbbbd dbbf fbbf fbbf bbbd dbbbd dbbb fbbf caafbbf ceegbd dgeed dbgee d eea ceec aee aea eec ceec aee eea ceec ceec aea eea ceec aee aea ceec ceec ```  My investigation has led me to an intersection in area A! Okay, let's direct our attention to the next zone. I'm analyzing this close-up of area B with precision.  ```palette Key,Color ,#fefefeff a,#4743fbff b,#fe0102ff c,#cdcdffff d,#ffccccff e,#0605feff f,#fc5356ff g,#8a86fbff ``` ```image ceec aea ceec aeg gee eeg gea ceec aea ceec aea bf gee bbbf eeg dfbbbf gee dfbbbf ceeg dfbbbfd aea dfbbbfd ceec dfbbbfd aea dfbbbfeec dfbeead geebbfd eegfbbbfd gea dfbbbfd ceec dfbbbfd aea dfbbbfd ceec dfbbbfd aeg dfbbb gee dfb eeg d gee ceeg aea ceec aea ceec eeg gee eeg gea ```  Amazing! This area was hiding an intersection all along! After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#3c3cffff b,#fe0808ff c,#bfbfffff d,#ffa7a7ff e,#0404feff f,#f85258ff g,#7c7cffff ``` ```image d bbbd bd bbd e db bbd ga fb bbd e fb bbd ag bb bbd e bf bbd ec bd bbd ce db bbd ec fb bbd ge bb bbd e bf bbd aa bd bbf e dbd bbf eg db fbf e fb fbf ec bb fbfe bf ebf bd ga fbf db e fbf fb ag fbf bb e fb bf ec bf ce dbd e db ge fb e bb aa bf e efd eg be e ce ec aa ce ec e e ga ge e eg ag e e ce ec aa ce ec e e ge ce e aa aa ec e e eg ge e eg ec e ce ce e aa ga ec e e ag ge e eg ec e ce ce e ge ge eg e e aa ce e aa eg ec ce e ec ge ce eg e e ga ce e aa ag ec e e ec ce ce aa e ec ge e e ge aa eg e eeg ce ```

I'm analyzing this image to identify any points where lines intersect. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#ec4e4cff b,#0708fdff c,#ef9d97ff d,#4f55ebff e,#fd0707ff f,#aaaaffff g,#afd6afff ``` ```image ggggggggggggggggggg ggggggggggggggggggg ggggggggggggggggggg ggggggggggggggagggg ggggggggggggggegggg gggggggggggggabgggg ggggggggggggbbggggg gggggggggggbdgggggg gggggggggdbcegggggg ggggggggbbgeggggggg gggggggbdgaeggggggg gggggdbgggegggggggg ggggbbgggaagggggggg gggbdggggeggggggggg gdbgggggeaggggggggg bbggggggegggggggggg fbdggggggecgggggggggg bb ggggggceggggggggggg bd ggggggegggggggggggg fbf gggggaegggggggggggg bb gggggeggggggggggggg bd ggggaaggggggggggggg db ggggegggggggggggggg bb gggeagggggggggggggg fbf gggeggggggggggggggg db ggecggggggggggggggg bb gcegggggggggggggggg fbf geggggggggggggggggg db aeggggggggggggggggg bd egggggggggggggggggg fbf aa bb e bd ec fbf e bb ec bd e db e db ce fb e fb aa b e b aa bf e bd ec bd e db e fb ce fb e b ce b e bf aa bd e bd ec db e fb ec fb ce b e bf ce gggggggggggggggggbf e ggggggggggggggggbd aa gggggggggggggggbb e ggggggggggggggdbg ec gggggggggggggdbgg e gggggggggggggbggg ec ggggggggggggbgggg ce gggggggggggbggggg e ggggggggggbdggggg ce ecgggggggbdgggggg e geeaggggbbggggggg aa gggaeegdbgggggggg e gggggcabagggggggg ec ggggggbgaeegggggg e gggggbggggceecggg ec ggggbggggggggeeag e gggbdggggggggggaeec e ggbdgggggggggggggceea ce gdbgggggggggggggg aee e dbggggggggggggggg ceec aa dgggggggggggggggg aee e ggggggggggggggggg ceec aa ggggggggggggggggg eea e ggggggggggggggggg ceecec ggggggggggggggggg ee ggggggggggggggggg ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fe0909ff b,#0808feff c,#ffb5b5ff d,#5858ffff e,#8c0e81ff f,#bbbbffff g,#ff6363ff ``` ```image f fb bb bbb dbb dbbf dbbf fbbf fbbd fbbd bbd bbb dbb dbbf dbbf fbbf fbbd agc fbbd caaaac bbd cgaaaagc dbb caaaaac dbbf cgaaaagc dbbf gaaaaebbf cgebbeg fbbeaaagc fbbd cgaaaac bbd cgaaaagc dbb caaaaac dbbf cgaaaagc dbbf gaaaagc fbbf cgaaaa fbbd gaa fbbd c fbbd bbd dbb dbbf dbbf fbbf dd ```  Amazing! This area was hiding an intersection all along! Onward to the next region of interest. This close-up might reveal an intersection in area B.  ```palette Key,Color ,#fefefeff a,#f54c56ff b,#0a08fcff c,#f9d8deff d,#5e59faff e,#fe0808ff f,#aeadfeff g,#fd9596ff ``` ```image gc gee eeg gebf cabbb dbbd fbbbd fbbba dbbbec fbbbaea dbbbgeec cdbbd eeg fbbbf gee dbbdc eeg cbbbd aee fbbbf ceeg dbbd aea fbbbd ceec fbbbf aea dbbd geec fbbbf eeg dbbbf gee dbbd eeg fbbbf gee dbbbc ceeg bbd aea bf ceec c aea geec eea gee eeg gee ceeg aea ceec aea ceec aea geec eeg gee ceeg aea ceec aea ceec aea geec eeg gee eeg ```  Incredible, there's actually an intersection in area B! After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#f83137ff b,#0a09fdff c,#fdbdbfff d,#6060ffff e,#fe0303ff f,#bbbbffff g,#ff7676ff ``` ```image g e ab bb bbc dbce bb e fbd ga db e bb ag fbf e db eg bb e fbf ec bb ce bd e dbf ga bb e bd aa dbf e bb ag fbd e db ec bb ce fbf e db ge bd e fbf ga bb e bd ag dbf e bb ec fbd ce db ec db ce db e fb ga b e b ag bf e bd ec bd ce db ec db ce fb e b ga bf e bf ag bd e bb eg db e fb ec fb ce b e bf ga bf e bd aa bb e db ag fb e fb ec b ce bf e bf ge ec bd e ceeg bb ga geecdb e cabg ag fb aea e b geec ec bf aea ce bd geec ec bd ceeg ce db geec e db ceeg ga d aea e geec ag aea e geecec cee ```

Let's examine this image for potential line intersections. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#f6635fff b,#0606feff c,#fe0908ff d,#9fa3f8ff e,#add4adff f,#ffafafff g,#4c4bf5ff ``` ```image d aca gb c cc gb cf ac bb ac fcf bg c ca bg cf cc bd ac ac bd c fc db cf cf db ac ca gb c cc eeeeeeeeeeeeeeeegb cf aceeeeeeeeeeeeeeebb ac fcaeeeeeeeeeeeebb c ecaeeeeeeeeeebge cf eecceeeeeeeebgee ac eeeaceeeeeebdeee c eeeeeceeeebeeeee cf eeeeeecadbeeeeee ac eeeeeeegbeeeeeee c eeeeeegbaceeeeee cf eeeeebbeeaceeeee ac eeeebbeeeeecaeee c eeebgeeeeeeeccee cf eebgeeeeeeeeecce ac ebdeeeeeeeeeeeac c bdeeeeeeeeeeeeeecf cf dbeeeeeeeeeeeeeeee ca ac db eeeeeeeeeeeeeeee cc c gb ac cf gb fcf ac bb ca c bg cc cf bg ac ac bd fcf c bd ca cf b c ac db c db cf gb ac gb c db cf db fc db c b cf b fc bd c bd cf bg fc bg c gb cf gb fc db c db cf b b b bd bd bg bg gb gb db db b b b bd bd bg bg gb gb db db b b bd bd ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefdfeff a,#ff4d4dff b,#0606feff c,#fe0505ff d,#afaefeff e,#870e85ff f,#fea4a4ff g,#4f4efeff ``` ```image b c dbb ccf dbbg accf dbbg acca dbbg fcca gbbg fcccf gbbd accf gbbd acca gbbd fcca bbbd fcccf dbbb accf dbbg acca dbbg fccebbg febbg gbbecf gbbdaccf gbbd acca gbbd fccc bbbd fcccf dbbb accf dbbg acca dbbg fcca dbbg fcccf gbbg accf gbbd acca gbbd fcc gbbd fc bbd b ```  I am surprised, so clear, an intersection has appeared in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#ff6262ff b,#0606ffff c,#ff0909ff d,#8a8affff e,#c5c5ffff f,#ffafafff g,#4b47faff ``` ```image d aca gb c cc gb cf ac bb ac fcf bg c ca bd cf cc bd ac ac ebe c fc eb cf cf db ac ca gb c cc gb cf ac bb ac fcf bg c ca bg cf cc bd ac ac be c fcf ebe cf caeb ac gb c gbac cf gb fc ac bb cf c bg cc cf bd cc ac bd ac c ebe cf cf eb ca ac db cc c gb ac cf gb fcf ac bb ca c bg cc cf bg ac ac bd fcf c be ca cf ebe c ac eb c db cf gb ac gb c db cf eb fc eb c b cf be fc be c bd cf bg fc bg c gb cf gb fc db c eb cf eb b be be bd bg bg gb gb db eb eb b be be bd bg bg gb gb db eb eb b be be ```

I'm examining this image closely. My goal: find any and all intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#fb1211ff b,#0404fdff c,#848fe7ff d,#b1d7b1ff e,#e0524bff f,#98c896ff g,#3c3de9ff ``` ```image d ea ea ea aa aa aa aa aa aa aa aa aa aa aaddddddddddddddddddddddddddddddddddddddddddddddddddddf faadddddddddddddddddddddddddddddddddddddddddddddddddddd fdaaddddddddddddddddddddddddddddddddddddddddddddddddddd fddaadddddddddddddddddddddddddddddddddddddddddddddddddd fdddaaddddddddddddddddddddddddddddddddddddddddddddddddd fddddaadddddddddddddddddddddddddddddddddddddddddddddddd fdddddaaddddddddddddddddddddddddddddddddddddddddddddddd fddddddaadddddddddddddddddddddddddddddddddddddddddddddd fdddddddaeddddddddddddddddddddddddddddddddddddddddddddd fddddddddaedddddddddddddddddddddddddddddddddddddddddddd bbbc fdddddddddaeddddddddddddddddddddddddddddddddddddddddddd cbbbgc fddddddddddaedddddddddddddddddddddddddddddddddddddddddd cgbbbcfdddddddddddaeddddddddddddddddddddddddddddddddddddddddd cbbbgcddddddddaedddddddddddddddddddddddddddddddddddddddd fddcgbbbgdddddaeddddddddddddddddddddddddddddddddddddddd fddddddfgbbbgcdaedddddddddddddddddddddddddddddddddddddd fdddddddddddcbbbbgddddddddddddddddddddddddddddddddddddd fdddddddddddddddcgbbbgcdddddddddddddddddddddddddddddddd fdddddddddddddddddaedcbbddddddddddddddddddddddddddddddd fddddddddddddddddddaeddcbdddddddddddddddddddddddddddddd fdddddddddddddddddddaeddcbddddddddddddddddddddddddddddd fddddddddddddddddddddaeddgbdddddddddddddddddddddddddddd fdddddddddddddddddddddaeddgbddddddddddddddddddddddddddd fddddddddddddddddddddddaaedgbdddddddddddddddddddddddddd fddddddddddddddddddddddddeaabgddddddddddddddddddddddddd fddddddddddddddddddddddddddeabgdddddddddddddddddddddddd fddddddddddddddddddddddddddddfbeedddddddddddddddddddddd fddddddddddddddddddddddddddddddbeaedddddddddddddddddddd fdddddddddddddddddddddddddddddddbceaadddddddddddddddddd fddddddddddddddddddddddddddddddddbddeaafddddddddddddddd fdddddddddddddddddddddddddddddddddbdddfaaeddddddddddddd fdddddddddddddddddddddddddddddddddcbdddddaaeddddddddddd fddddddddddddddddddddddddddddddddddcbddddddeaaddddddddd fdddddddddddddddddddddddddddddddddddgbdddddddeaafdddddd fddddddddddddddddddddddddddddddddddddgbddddddddfaaedddd fdddddddddddddddddddddddddddddddddddddgbddddddddddaaedd fddddddddddddddddddddddddddddddddddddddbgdddddddddddeaa fdddddddddddddddddddddddddddddddddddddddbgddddddddddddeaa fddddddddddddddddddddddddddddddddddddddddbgdddddddddddd aae dfffffffffffffffffffffffffffffffffffffffffbcfffffffffff aae bd eaa b daa b a b cb cb gb gb bg bg bc bc bc b b b cb cb cb gb gg bg bc bc bc b ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0807fdff c,#b5b4feff d,#febebeff e,#f73940ff f,#5f5afaff g,#f96f75ff ``` ```image ae aae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae daae bbfcc daae bbbbbbffc daae cffbbbbbbbfcc daae ccfbbbbbbbffc daae cffbbbbbbbfcc daae ccfbbbbbbbffc daae cffbbbbbbbffaag ccfbbbbbbbbfc cffbbbbbbbfcc cfbbbbbbbbffc daagffbbbbbbf daag ccfbbbf daag cbbf daag cbbf daag cbbf daag cbbc daag fbbc daag fbbc daag fbbc daag fbbc daaagd fbb deaaaed bbb deaaaed bbb dgaaaagbbf gaaaebbf deaebbf deebbfd dgbbeag fbbeaagd fbbeaaaed fbbceaaaed fbbcdgaaaag fbbc gaaaagd bbb deaaaed bbb deaaaed bbf dgaaaag cbbf gaaaagd cbbf deaaaed cbbf deaaaed cbbf dgaaaag cbbc gaaaagd fbbc deaaaed fbbc deaaaed fbbc dgaaaag fbbc gaaaagd fbb deaaaed bbb deaaaed bbf dgaaaa cbbf gaa cbbf d cbbf cbbf cbbc ```  The evidence is clear: this is an intersection in area A. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#ff1010ff b,#0403feff c,#b8b8ffff d,#ffacacff e,#f9484eff f,#7777ffff g,#3e36f7ff ``` ```image d ea ea ea ea ea ea aa aa aa aa aa aa aa aa aa aa ae ae ae ae ae ae ae bbbf ae fbbbgc ae cgbbbf ae fbbbgc ae cgbbbf ae cfbbbgc ae fgbbbg cgbbbgc ae fbb ae cb ae cb ae fb ae gb eae gg eaabg dabg bed beae bceaa b daad b aad cb aae cb eaa fb daad gb daad gb aae bg eaa bg daad bf daad bc aae bc eaa b daad b da cb cb fb fb gb gg bg bf bc bc bc b cb cb fb fb gb gg bg bf bf bc b ```

This image seems promising for intersection detection. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#5c62f1ff b,#fe0505ff c,#f39b95ff d,#0b0bfcff e,#adadfeff f,#acd3acff g,#f34541ff ``` ```image bb gbcb cb bc b b bc cb bc bc gg b cb gg b b b b bc gg bg b gb cb cb bc b b b cb bc bc bg b gb cb cb bc b b b gg bc b gg b cb gg d b b ed b cb ffdaffffffffffbcf bc d fffdfffffffffbgff b de ffffdfffffffgbfff cb da ffffdafffffcbffff bc dd fffffdfffffbfffff b ad ffffffdfffbffffff cb ed ffffffdafbcffffff bc d fffffffdbgfffffff b d fffffffgdffffffff gg de ffffffcbddfffffff ffbfffffffffffda ffffffbffdfffffff fffbfffffffffddf fffffbffffdffffff fffggfffffffadff ffffbgffffadfffff ffffbfffffffdfff fffbgffffffdfffff ffffcbfffffdffff ffgbffffffffdffff fffffbgfffdfffff fcbfffffffffadfff ffffffbffdafffff fbfffffffffffdfff ffffffcbddffffff ffffffffffffffdff fffffffddfffffff ad ffffffadbfffffff de ffffffdfgbffffff d fffffdfffbcfffff ad ffffdaffffbfffff de fffdafffffggffff d ffddfffffffbffff ad fadfffffffffbfff de fdffffffffffggff d dffffffffffffbff ad de cb de de bc d da b ad ad cb de ed bc d d b ed d cb de de bc d da b ed dd gg de ad b d ed b ed d gg da de b d de ed da da ad d ed ed ed da d d de ed da da dd dad ed ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#3f3cfbff b,#fe0809ff c,#fea9a9ff d,#0404feff e,#9392feff f,#e4d9f4ff g,#f85258ff ``` ```image fdde gb edd gbb ada cbbc fdde cbbc eddf fbbg ada bbg fdde gbb eddf gbbf ada cbbc fdde cbbc eddf fbbg ada bbg fdde gbbf eddf gbbc ada cbbc fddecbbg eddbbg adab gdde cbgddf cbbcada fbbg fdde bbg eddf gbb ada gbbf fdde cbbc eddf cbbc ada fbbg fdde bbg eddf gbbf ada gbbc fdde cbbc eddf cbbg ada fbbg fdde cbb eddf ```  Wow! I can see an intersection so clearly in area A! Now, let's turn our attention to the next spot. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#3731f8ff b,#fe0606ff c,#ffacacff d,#0404feff e,#c7c6fdff f,#7a7affff g,#f74e55ff ``` ```image bbc ed cbb edd gbg ada bbc ada cbb fdde gbg fdde cbbc eddf gbb eddf bbg dda cbbc ada gbb adde bbg fdde cbbc fdde gbg eddf bbc eddf cbbeada gbada adde fddg eddgbg eddfcbbc edda gbb ada bbg adde cbbc fdde gbb fdde bbg eddf cbbc eddf gbg ada bbc ada cbb fdde gbg fdde bbc eddf cbb eddf gbg edda cbbc ```  Aha! I've found an intersection inside area B! I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#5755fcff b,#ff0505ff c,#ff8989ff d,#0808feff e,#b2b2ffff f,#ffcdcdff g,#fd4143ff ``` ```image f bb cbcb fb bc b b bf cb bc bf gg b cb gg fb bf b fb bf gg bg b gb fb cb bc fb b bf cb bc bc bg b gb cb fb bf b b bf gg bc bf gg fb cb gg d fb b ed b fb da bf bc d d bg b de ed gb cb da da cb bc da d fb b ad ed bf cb ed aa bc bf d dgg b d gd gg de fbaa bf da b d fb ad bf d gg ed bc aa b ed gg de fb d cb d bc de fb aa b da b de cbda d ad ad edb de d cb d d bf ad de b de da gg d ad bf ad ad fb de ed gg d d b ad de fb de de bc d da b ad ad cb de ed bc d d b ed d cb de de bf d da b ed ad gg de ad bf d ed fb ed d gg da de b d de ed da da ad d ed ed ed da d d de ed da da da dad ed ```

I'm analyzing this image to identify any points where lines intersect. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#fa0c0bff b,#3137f0ff c,#de7363ff d,#8e9ddeff e,#b1d7b1ff f,#9ac796ff g,#0404fdff ``` ```image d g gd dg g bd g g db g gd g efffffffffffffffffffffffffffffffffffffffffffffffffffgffffffa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeefae feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeeaee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeaaee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeeaeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeafeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeecaeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeeaeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeaceeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeecaeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeaeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaceeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeecaeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeaeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaceeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbeeeecaeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeaeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaceeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeefaeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeaaeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeaeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeafeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeecaeeeeeeeeeeeeeee c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeaceeeeeeeeeeeeeeee aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeecaeeeeeeeeeeeeeeeee ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeaeeeeeeeeeeeeeeeeee ae feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeaceeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeecaeeeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeaeeeeeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeaceeeeeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeefaeeeeeeeeeeeeeeeeeeeee aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbeeeeaeeeeeeeeeeeeeeeeeeeeee ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeefgeeeeaceeeeeeeeeeeeeeeeeeeeee ae feeeeeeeeeeeeeeeeeeeeeeeeeeeeegfeeefaeeeeeeeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeeeeeeebgeeeeafeeeeeeeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeecaeeeeeeeeeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeaeeeeeeeeeeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeafeeeeeeeeeeeeeeeeeeeeeeeee aa feeeeeeeeeeeeeeeeeeeeeeeeeegeeeecaeeeeeeeeeeeeeeeeeeeeeeeeee ac feeeeeeeeeeeeeeeeeeeeeeeeebbeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeee ae feeeeeeeeeeeeeeeeeeeeeeeeegeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeeegdeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeee a feeeeeeeeeeeeeeeeeeeeeeedgeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeee ca feeeeeeeeeeeeeeeeeeeeeeegeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeee cafeeeeeeeeeeeeeeeeeeeeeebbeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaeeeeeeeeeeeeeeeeeeeeeegeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aceeeeeeeeeeeeeeeeeeeegdeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeee faceeeeeeeeeeeeeeeeeedgeeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feaeeeeeeeeeeeeeeeeeegeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fefaeeeeeeeeeeeeeeeebbeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feecaeeeeeeeeeeeeeeegeeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeecaeeeeeeeeeeeeegdeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeaaeeeeeeeeeeebgeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeaceeeeeeeeeegeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeaceeeeeeeegdeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeaeeeeeeedgeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dddddddddddddddddddddddddddddaddddddgeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeecaeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeaaeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeaceeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeaceecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeaeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeefaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#5d5dffff c,#fd797bff d,#fc383bff e,#ffbebeff f,#acacfeff g,#0606ffff ``` ```image fgg c ggf ea ggf aa gb eae fg dd gf ca fgg dad ggb caae bgg aac gb eae fg ac gb ca bg eaa bgb aa gg eae gf dc bg ca gg dad fgg caa ggf aac bgb ad gb ac bg da gf eaa fgg cad ggb aae bgg ac ggf ca fg da gf caa bg aae fgg ad fgg ac ggf da gb eaa gb dad fg aae gg ac bgb cd gb da bg caa gf eaae bg dad ggb eae bgg dd ggf ca gb aa gf eaae bg aac fgg ad fgg ac ggf ca gb eaa fgf dac bg eae gg dd bgb ca gg eaa bg caae fgf aac bg ad fgg eae bgg ca ggf eaa gb aac gf aae bg ac fgg ca ggb eae ggf caa gb aac fg ad gb eae fgg da bgb eaa fgg aac d ggf cad aa fgf ac eac bb ca cae fg eae daa bgb caa dad ggf eaae eaa gb dad eac fg aa aae bg dd caa fgg eae da ggb aa dd bgg dad aac gb aac eaac fg ad caa gb eae da fgg ca ad bgb eaa fffffffffffffddcffffffffbgg dad ggggggggggggggggggggggggggf aa cae dd cae ca aa aa dad dad eac aac eac ad aae eae caae ac da eaa eaddac eaaa ee ```  Eureka! There's definitely an intersection in area A! There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#fe090aff b,#3432fdff c,#ff5e5eff d,#7777ffff e,#ffb8b7ff f,#b8b7feff g,#0303ffff ``` ```image d g gf dg g bd g gf db g gd fg g a db ac g ea gf a fg cc g a bb ae g ca gf a fg ae g ca bd a g ae gf ea dg a g ac bd ea fg a g ac db ea g a gd cc fg a g ae bb ca c g a ca gf ae ac fg ca ac g a ae bd ae a g ea ea gf a ea dg ac ca g ea ac bd a ac fg ac ae gf ea a db a ea g cc ea gd a ca fg ae ac g ca ac db a ae g ae a gf ea ea fg a ea g ac ca bb ea ac g a ac gf ac ae dg ea a g a ea bd cc ea g a ca gf ae ac db ca ac g a ae gd ae a fg ca fffffffffffffffffffffffffffffaffffffg a bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd ae ca ea aa a ac ac ae ea a a aac ea ```

Here's an image. My task is to find intersections or areas where lines come close together. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fe0908ff b,#0708fcff c,#feb2b2ff d,#c1c2feff e,#555be6ff f,#f2615bff g,#add4adff ``` ```image f a ac a ac ca db a dbdb fa db dbd a db be ff db bb a db eb ac db db a db dbd ac b be ca b bb a bd eb fa a bd db a ca bd dbd ff ac bd be a a bd bb ggggggggggggafgg ff bd eb ggggggggggggaggg a bd ebgggggggggggagggg ca bd dbggggggggggagggg ggagggggggggggggbd gbegggggggaggggg gggagggggggggggbd ggbbgggggfaggggg gggafgggggggggbe gggbbggggagggggg ggggaggggggggbeg ggggebggffgggggg ggggffggggggbegg ggggggbgaggggggg gggggagggggbeggg gggggggbeggggggg gggggfagggbegggg gggggggabbgggggg ggggggaggbeggggg ggggggafgbbggggg gggggggabegggggg ggggggagggebgggg gggggggbeggggggg gggggaggggggbggg ggggggbeaggggggg ggggfagggggggbeg gggggbegfagggggg ggggagggggggggbb ggggbegggagggggg gggfaggggggggggbb gggbeggggfaggggg gggaggggggggggggeb ggbeggggggaggggg ggafgggggggggggg dbd gbbggggggggagggg ggaggggggggggggg be bbgggggggggafggg ac be bbgggggggggggaggg a bb bbggggggggggggfagg ac eb d gggggggggggggagg ca d ca a ac fa a a af ff a a fa ac a a ca ac ac ca a a af fa a a fa ff a a ca af ac a a ac af ca a a fa ca a a ca ff ac a a af ff a a ac fa ca a a ca ca ac a a ff ff a a af ca a aac ca ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fd0708ff b,#0202feff c,#ffb6b6ff d,#c0bffeff e,#463ef6ff f,#fe5959ff g,#8482fdff ``` ```image caa aaf caac faf caac g faa gb aac gbb caa gbbg aaf gbbg caac gbbg faf gbbg aac gbbg faa gbbg aac gbbg caa gbbg faf gbbg caac gbbg faf gbbg aagbbg fabbg dbbe dbbea dbbefaf dbbe caac dbbe faf dbbe aac dbbe faa dbbe aaf dbbe caa dbbe faf dbbe caac dbbe faf dbbe aac dbbe faa dbbe aaf bbe caa be faf e caac faf aac ```  Eureka! There's definitely an intersection in area A! Let's shift our focus to the next area. Could this be where the intersection is hiding, in area B?  ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0a0afeff c,#fe7474ff d,#b9b9feff e,#6257f4ff f,#fa3337ff g,#ffbbbbff ``` ```image fac gaa fac caf aag caf e gaag bbd faf bbbd gaag ebbd fac ebbe gaa ebbe fac dbbbd caa dbbbd aag ebbd caf ebbe aag ebbe caf dbbb gaag dbbbdfac bbbfa ebbe cebbe aaebbb caf dbbbd aag bbbd caf ebbe gaag ebbe fac dbbb gaa dbbbd fac bbbd gaa ebbe aac ebbe caf dbb aag db caf gaag faf gaag fac gaa ```  The lines cross each other within area B, forming an intersection. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0707feff c,#ff8e8eff d,#bdbdfeff e,#5e5afbff f,#ff4a4aff g,#ffcacaff ``` ```image c a ac ga ag ca db a dbdb cf db bd a db be ff db bb a db eb ac db db ga db dbd ag b be ga b bb a b eb ca ag bd db a ga bd dbd ff ac bd be a a bd bb ac ff bd eb a a bd eb ag ca bd dbd ga ag bd be a ga bd bb ca ac bd eb a a bd eb ff ff bd dbda a be be ca be abb ag be ag bb gabe ga eb be ag dbd bea ca be be ff a be be a ff bb be ca a eb be ag ff dbd be a a be be ac ac be bb a ga bb bb ff ag eb d a ca d ga a ag cf a a ac ff a a ff ac a ga ga ag ag ga a a fc ca a a ca ff a a ga ac ag a a ag ff ga a a ca ca a a ga ff ac a a ac ff a a ag ca ga ag ag ga ca ac a a ff ff a a ff ca a aac ga ```

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,#3539edff b,#fa0c0dff c,#e17667ff d,#727ee3ff e,#0404fdff f,#99c49aff g,#b1d7b1ff ``` ```image d e a e da aa e e ge e eg ed e gffffffffffffffffffffffffffffffffffffffffffffffffffffdeffcb ad fggggggggggggggggggggggggggggggggggggggggggggggggggggeggcbg e fgggggggggggggggggggggggggggggggggggggggggggggggggggedgbbgg da fggggggggggggggggggggggggggggggggggggggggggggggggggdegbbggg e fggggggggggggggggggggggggggggggggggggggggggggggggggegbcgggg e fgggggggggggggggggggggggggggggggggggggggggggggggggedbcggggg ed fggggggggggggggggggggggggggggggggggggggggggggggggdebfgggggg e fggggggggggggggggggggggggggggggggggggggggggggggggebgggggggg aa fgggggggggggggggggggggggggggggggggggggggggggggggebggggggggg e fggggggggggggggggggggggggggggggggggggggggggggggaegggggggggg de fgggggggggggggggggggggggggggggggggggggggggggggbeggggggggggg e fggggggggggggggggggggggggggggggggggggggggggggbefggggggggggg e fgggggggggggggggggggggggggggggggggggggggggggbaagggggggggggg ed fgggggggggggggggggggggggggggggggggggggggggcbfeggggggggggggg e fggggggggggggggggggggggggggggggggggggggggcbgefggggggggggggg da fgggggggggggggggggggggggggggggggggggggggbbgaagggggggggggggg e fggggggggggggggggggggggggggggggggggggggbbgfeggggggggggggggg de fgggggggggggggggggggggggggggggggggggggbbggegggggggggggggggg eg fggggggggggggggggggggggggggggggggggggbcggeagggggggggggggggg e fggggggggggggggggggggggggggggggggggfbfggdeggggggggggggggggg ad fgggggggggggggggggggggggggggggggggcbggggegggggggggggggggggg e fggggggggggggggggggggggggggggggggcbggggedgggggggggggggggggg da fgggggggggggggggggggggggggggggggbbggggdeggggggggggggggggggg e fggggggggggggggggggggggggggggggbbgggggegggggggggggggggggggg ge fgggggggggggggggggggggggggggggbcgggggedgggggggggggggggggggg ed fggggggggggggggggggggggggggggbcgggggdeggggggggggggggggggggg e fggggggggggggggggggggggggggfbfggggggegggggggggggggggggggggg ad fgggggggggggggggggggggggggcbgggggggedgggggggggggggggggggggg e fggggggggggggggggggggggggbbgggggggaeggggggggggggggggggggggg defgggggggggggggggggggggggbbggggggggegggggggggggggggggggggggg efggggggggggggggggggggggbbggggggggefgggggggggggggggggggggggg egggggggggggggggggggggbcggggggggaaggggggggggggggggggggggggg edggggggggggggggggggfbcggggggggfegggggggggggggggggggggggggg fegggggggggggggggggcbggggggggggefgggggggggggggggggggggggggg faagggggggggggggggcbggggggggggaaggggggggggggggggggggggggggg fgeggggggggggggggbbggggggggggfegggggggggggggggggggggggggggg fgdeggggggggggggbbgggggggggggeggggggggggggggggggggggggggggg fggefggggggggggbcgggggggggggeaggggggggggggggggggggggggggggg fgggegggggggggbcgggggggggggdegggggggggggggggggggggggggggggg fgggedgggggggbcggggggggggggeggggggggggggggggggggggggggggggg fggggeggggggbcggggggggggggedggggggggggggggggggggggggggggggg fggggaaggggbcggggggggggggdegggggggggggggggggggggggggggggggg fgggggegggbcgggggggggggggeggggggggggggggggggggggggggggggggg fgggggdegbfgggggggggggggedggggggggggggggggggggggggggggggggg fggggggebfgggggggggggggdegggggggggggggggggggggggggggggggggg fggggggbeggggggggggggggeggggggggggggggggggggggggggggggggggg fggggfbgaaggggggggggggedggggggggggggggggggggggggggggggggggg fgggfbgggegggggggggggaegggggggggggggggggggggggggggggggggggg fggfbggggdeggggggggggeggggggggggggggggggggggggggggggggggggg fgcbggggggefggggggggefggggggggggggggggggggggggggggggggggggg fcbgggggggfegggggggaagggggggggggggggggggggggggggggggggggggg cbgggggggggedgggggfeggggggggggggggggggggggggggggggggggggggg cbgggggggggggegggggefggggggggggggggggggggggggggggggggggggggg cbfgggggggggggaagggaagggggggggggggggggggggggggggggggggggggggf cb e ge cb de e cb eed cb e cb bb bb bb bb bb bb bb bc bc bc bc bc bc bc ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#3e39faff b,#fd0709ff c,#fe5858ff d,#8180fdff e,#0504feff f,#c5c4feff g,#feb3b4ff ``` ```image feef gb eed cbb aea cbbc feef cbbg eed bbbg aea gbbbg deef gbbb eed gbbc ea cbbc defcbbc fedcbbg aebbbg deebbg aeab deebc feebg eeag gaeeg gbeef gbeed cbaea cbbeef cbbeed bbbaea gbbbdeef gbbbfeed gbbc aea cbbc deef cbbc feed cbbg aea bbbg dee gbbbg feef gbbc aea gbbc dee cbbc feef cbbg eed bbg dee gbbg feef gbb eed cbbc feef cbbc eed cbbg aea bbbg deef gbbbg feed gbbb aea gbbc deef cbbc feed cbbc aea cbbg ee bbbg fef gbbbg aa gbbc de gbbc fee cbbc eed cbbg dee cbbg feef gbbbg eed gbbb aea f gbbc feef a cbbc eed ef bbc aea ea cbg deef eed bbg feed dee gbbb aea feef gbbc feed aea cbbc aea feef cbbg dee dea cbbg feef eed gbbbg aea fee gbbbg dee aed gbbc feef feef gbbc aed dea cbbc dee eef cbbg feef dee cbbg eed aed cbbg aea feef cbbg feef aea cbbg eed feef cbbg aea dea cbbg deef eed cbbg feed dee cbbg aea ae cbbg deef fef cbbg feed aacbbg aea febbg dee eeg feef beed aea bbdee dee bbb aed eef gbbb aea de gbbc eef fef gbbc dee ee gbbc eed aea gbbc feef feef gbbc aea eed gbbc feef aea gbbc dea deef gbbc eed feed bbc dee aea bc aed deef c feef feed aea aea ```  Oh my, look at that! It's an intersection in area A! After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#413dfbff b,#fc080aff c,#ff5757ff d,#8181feff e,#0505feff f,#cbcafeff g,#ffafafff ``` ```image d fe a ef da aa e fe fe e ef ed e fe gb ad e cb e ed bb de de bb ef e bc fe edbg ed debg e eb aa eb e ae de be ef bef fe baa ed gbfe e cb ef aa cb aa e bb fe fe bc e ef bg ed e gbg fe ad gb e e cb ed da bb de e bb e fe bc ed ef bg de e gbg e aa gb ef e cb de de bb e ef bc ef fe bc aa ed bg fe e gb ef aa cb aa e cb fe de bb e ef bc ed e bg fe ed bg e e bg ed da bg de e bg e fe bg ed ebg de be e b ad ef gb e de gb de e gb ef ef gb fe aa gb ed fe gb e ef gb aa aa cb e fe cb de e cb eea cb fe cb cb cb bb bb bb bb bc bc bc bc bc bc bg bg ```

I'm examining this image closely. My goal: find any and all intersections. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#5657f2ff b,#fd0a0aff c,#98c39bff d,#0606fdff e,#ed766dff f,#afaffeff g,#b1d6b0ff ``` ```image fd dad fd d d fd d df df d d ad aa d d fd aa df d d fd aa d d b fd fd b d df eb d d eb df aa bb d d bb aa fd be d df be aa d bg d aa gb fd d eb d fd eb fd cgdcgggggggggggc bb df cgcdggggggggggggbb d cggdaggggggggggbe df cgggdgggggggggbe d cgggadggggggcbcg aa cggggdcggggebggg g d cggggcdgggebgggg bbe gccccccccccaaccc cgggggdagbbggggg bb cggggggggggdgggg cggggggdbbgggggg bb cgggggggggadgggg cggggggadggggggg ebb cgggggggggdggggg cgggggbedggggggg ebecggggggggcdggggg cggggbegcdgggggg bbegggggggdcggggg cggcbcgggdaggggg cbbcgggggdgggggg cgebggggggdggggg cggbbgggdagggggg cebgggggggaagggg cgggebbgdggggggg bbgggggggggdgggg cgggggedaggggggg bbggggggggggcdggg cggggggdebeggggg becgggggggggggdcgg cgggggaaggbbeggg be cgggggggggggcdgc cgggggdgggggbbcg b aa cggggadggggggcbb gb d cggggdgggggggggebb eb fd cgggcdgggggggggg ebe eb df cgggdcgggggggggg bbe bb d cgggdggggggggggg bb be da cggdaggggggggggg bb be d gccdcccccccccccc gbbe fd aa df d d aa da d d fd ad d d fd fd df df d d df aa d d aa fd d df aa d d aa fd d d fd fd df df d d aa df d d fd aa d d aa d fd d ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#443cf7ff b,#fe0809ff c,#8989ffff d,#0404feff e,#fa595dff f,#ccccfeff g,#ffaeaeff ``` ```image fddf cda ddf cda ddc cdd adc fdd adc fddf be ada bbbg fddf gbbbbg cda gbbbeg ddf ebbbe cda ebbbe ddc gebbbg cdd gbbbbg adc gbbbedd gbadag fddbbe adaebbbe fddf gebbbg cda gbbbbg ddf gbbbeg cda ebbbe ddc ebbbe cdd gebb adc gb fdd adc fddf ada fddf cda ddf cda ddc ```  Success! This area contains an intersection point! Now, let's scrutinize the next spot. Let's see what secrets area B holds.  ```palette Key,Color ,#fefefeff a,#443df8ff b,#fd0809ff c,#8180feff d,#0606feff e,#ff4e4eff f,#c5c5ffff g,#ffaaaaff ``` ```image adc fddf ada fddf cdd ddc g fddf eb ada ebb fddf ebbg cdd bbbg ddc gbbb fddf gbbe ada gbbe fddf ebbe cda ebbg ddc ebbg cdd bbbg adabbbg fddbe gadd gbbddc ebbecdd ebbg adc ebbg fddf bbbg ada gbbb ddc gbbe cdd gbbe adc ebbe fddf ebbg ada ebbg fddf bbbg cdd bbbg ddc be fddf e ada fddf cdd ddc ```  I've cracked the case! This area contains the intersection. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#453df7ff b,#ff0808ff c,#7c7cffff d,#0606feff e,#ff5c5cff f,#bcbcffff g,#ffb7b7ff ``` ```image f cd dcd fd df df fd d dc df d d ca ac d d fd ca dc d d cd aa d d b fd fd gbg df df gb d d eb df aa eb d d bb ac fd be d df be ca d bg d ac gb cd d gb d cd eb fd df bb df d bb d dc be df d bg d cd gbg ac d gb g d fd eb bbg ca dc eb bbg d dbb gbb cd ad gbb d bed ebe fd bg fd ebg df gbg df bbg d gb d bb df eb aa gbb d bb d eaa bb fd debe be df ca bbg bg d d bb gbg aa fd gbb gb d d gbe eb fd fd ebe eb df df ebg bb d d bbg be ac df bb be d d gbbg cd ac df d d ca dc d d fd cd d d fd fd df dc d d df ca d d ac fd d df ca d d aa fd d d fd fd df df d d aa dc d d cd ac d d ca d fd d ```

Alright, let's get to work and investigate this image for intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#fd0a09ff b,#0607fdff c,#ee655dff d,#a1a5f6ff e,#ffb4b4ff f,#afd5afff g,#4b50f3ff ``` ```image e ae a ae a e ae a ea ae a ea ea a a ac ea a a ae ca ea a a cc ac a a cc ae a ca ac a a ac ae ea a a ae ca a a d ae ae gg ea ea b a a b ea cc gg a a b ea ae db a ea bg ca a b a cc db cc a bg affffffffffffffffffffffffff ae b acfffffffffffffffffffffffff ea db fafffffffffffffffffffffffff a bd facffffffffffffffffffffffff ac b ffaffffffffffffffffffffffff a db ffacfffffffffffffffffffffff ae bd fffafffffffffffffffffffffff ca b fffafffffffffffffffffffffff a db ffffaffffffffffffffffffffff ac bd ffffaffffffffffffffffffffff ea b fffffafffffffffffffffffffff a gb fffffafffffffffffffffffffff ca bdfffffcaffffffffffffffffffff a bffffffaffffffffffffffffffff ae gbfffffcafffffffffffffffffff ea bffffffafffffffffffffffffff a fbfffffcaffffffffffffffffff cc fggfffffaffffffffffffffffff a ffbfffffccfffffffffffffffff ae db fffbfffffafffffffffffffffff ea bb fffbgffffacffffffffffffffff a gbd ffffbfffffaffffffffffffffff cc dbg ffffdbffffacfffffffffffffff a bb fffffbgffffafffffffffffffff ae dbg ffffffbffffacffffffffffffff ea bb ffffffdbffffaffffffffffffff a gbd fffffffbgfffaffffffffffffff ac dbg ffffffffbffffafffffffffffff a bb ffffffffgbfffafffffffffffff ae dbg fffffffffbgfffaffffffffffffca bb ffffffffffbfffaffffffffffffa gbd ffffffffffgbffcaffffffffffac dbg fffffffffffbdffaffffffffffa bb ffffffffffffbffcaffffffffaf dbd ffffffffffffgbffafffffffcaf bb fffffffffffffbdfcaffffffaff gbd ffffffffffffffbffafffffacff dbg ffffffffffffffgbfccffffafff bb fffffffffffffffbffafffaffff dbd ffffffffffffffffbfacfcaffff bb ffffffffffffffffggfafafffffgbd fffffffffffffffffbfaacfffdbg ffffffffffffffffffbfafffbbf gg dbd b bb dbd ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0606feff c,#ff4242ff d,#a3a3ffff e,#ffc5c5ff f,#ff8484ff g,#4949ffff ``` ```image aae cac eaae caf eaa caf eaa caf faa aaf faa aaf fac aae fac aae fac eaae cac eaae cac eaa caf eaa caf eaa caf d faa bd aaf bg faa bbd aae dbb fac gbg aae bbd fac dbb aae gbg fac bbd eaae dbb cac gbg eaae bbd caf dbb eaa gbg caf dbbd eaa dbb caf bbg eaa dbbd aaf gbb faa bbg aaf dbbd fac gbb aae bbd fac dbbd aae gbg fac bbd eaae dbb cac gbg eaae bbd cac dbb eaae gbg caf bbd eaa dbb caf gbg eaa bbd caf e dbb faa a gbg aaf fa dbbd faa eaa dbb aaf cac gbg fac faa dbbd aae aaf gbb fac fac bbg aae eaae dbbd fac cac gbb eaae faa bbg cac aaf dbbd eaae cac gbg cac eaae bbd eaae caf dbbd caf faa gbg eaa eaaf bbd caf cac dbb eaa eaae gbg caf aaf bbd faafaa d dbb aaaae dgb gbg faac gbbb ```  This isn't an intersection in area A, but I'm not discouraged. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff0808ff b,#0505ffff c,#ff5d5dff d,#8484ffff e,#ffb4b4ff f,#c7c7ffff g,#4242ffff ``` ```image e ae a ae a e ae a ea ae a ea ea a a cc ea a a ae ca ea a a cc ac a a cc ae a ca ac a a ac ae ea a a ae ca a a d ae ae gg ea ea bf a a fb ea cc gg a a b ea ae fb a ea gg cc a b a cc fb cc a bd a ae b cc ea fb a a bd ac ac b a a db ae ae bd a ca b ae a db a ac bf ae ea b ea a db a ca bf ea a b a ae gg ea ea bf a a fb cc cc gg a a bf cc ae db fb a ea bb gg cc a gbf b a cc fbg fb ae a bb bd a ae dbd b ae ea bb fb a a gbf bd ae ac fbg b ea a bb db a ae dbd bd ea ca bb b a a gbf db ea ac fbg bf a ea bb b ca a dbd db a ca bb bf cc a gbf b a ae fbg gg cc ea bb bf a a dbd b cc cc bb gg a a gbf bfaae fbg fb a bb gg dbd bfbb fbf ```

Time to put on my detective hat and find those intersection points! These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#f24943ff c,#5157f1ff d,#ee9a92ff e,#9ea3f4ff f,#fd0706ff g,#add4adff ``` ```image ca acc ae a ea ea a a cc a a ae a a ca ac a a ae cc ea a a ea cc a a ea ae ae ea a a ae ac a a cc a a ca ea a a ae ea ea ae f a a fb cc ae bb a a df ae cc df ea a f a ca f ae a fd ea ea fb a a bf cc a df gggggggggggggagg gacggggggggggggdf bggggggggggggaegg ggaggggggggggggf dfggggggggggeaggg ggacggggggggggfg bfgggggggggagggg gggagggggggggfdg gbfgggggggacgggg gggcagggggggfbgg ggffggggggaggggg ggggaggggggbfggg gggfbggggagggggg ggggcaggggbfgggg ggggfbggcagggggg gggggagggdfggggg gggggfbgaggggggg ggggggaggfgggggg ggggggfacggggggg ggggggaefggggggg ggggggeadggggggg gggggggadggggggg ggggggagfggggggg ggggggfacggggggg gggggccggfgggggg gggggbfgaggggggg gggggaggggfggggg ggggbfggccgggggg ggggaeggggdfgggg gggdfggggagggggg gggcaggggggdfggg gggfgggggcaggggg gggaggggggggbfgg ggfdggggggaggggg ggacgggggggggbfg gfbgggggggeagggg ggagggggggggggbf fbgggggggggaeggg gagggggggggggggfb bfgggggggggggaggg caggggggggggggggfb dfggggggggggggacgg a fb f gggggggggggggagg ae fd f cc fd fd a fd fd ea f fb a f bf ea f df ae df f a df f ae df fd a bf fd cc bf fb a fb bf ca fb df a fb f ea fd f a fd fd a f fd ae ffb a f cc a cc a ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#0505feff b,#ff4545ff c,#453ef8ff d,#ff9393ff e,#9292ffff f,#fd0507ff g,#e7d5ecff ``` ```image cac eaag aae eaa bd gaae ffd cac dffd eaag dffd aae bffd cac bffg gaag bffg cac bffg eaa bffg gaae gffb cac gffb eaag gffb aae gffb eaa dffb gaae dffd cac dffdeaag dffaae dcac gaafd cacffg eaagbffg gaae bffg cac bffg eaag gffb aae gffb eac gffb gaag gffb cac dffd eaag dffd gaae dffd cac dffd eaag dffd aae bff eaa bf gaae b cac eaag aae cac ```  My analysis confirms the presence of an intersection in area A. Let's continue our search in the next region. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#0606feff b,#f74048ff c,#4b4bffff d,#ff9b9bff e,#9797feff f,#fe0606ff g,#eed6e7ff ``` ```image cac aae eaa g aae gf eaa bf cac bff eaag dffd cac dffd gaag gffd cac gffb gaae gffb eaa bffg aae bffg eaa dffd cae dffd eaag gffd cac gffb gaag bfb cac bffg gaaebffg eaaffd aabd gbaa gffaae bfbeaag bffg cac bffg gaag dffd cac dffd gaae gffb eac gffb aae bfb eaa bffg aae bffg eaag dffd cac dffd gaag gffb cac gffb gaae bfb cac ffg aae fg eaa d aae eaa ```  There's no doubt about it - this is an intersection in area B. I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#0606feff b,#ff4343ff c,#4e4fffff d,#ff8a8aff e,#9d9dfeff f,#ff0707ff g,#ead3e7ff ``` ```image g ca acc ae a ea ea a ag cc ga ga ae ag a ea ae a a ae cc ea a a ea cc ag a ga ae ae ea a a ae ac a ga cc ag a ca ea a a ae ea ea ag f a ga fb cc ae bb a a df ag cc gf ea a gf a cc fg ae a fd ga ea fb ag ag bf cc ga df a ae gf b ae a f df ea cc fg df a a fd bf cc cc fb bf ga a bf fb ag ea df fb ca ag gf fd a ga f fae aefg eag ad agfg fae cc fg bf a a gf df cc ae gf gf a ea df f ea a df fg ag ac bf fd ga ga bf fb ae ag bb bf a cc fb df ae a fb gf a ae fd f cc fd fg a fg fd ea fg fb a gf bf ea gf df ag gf gf ga df f ae df fg a bf fd cc bf fb a fb bf cc fb df a fd gf ea fd f ag fd fg ga fg fd ae ffb a gf cc a cc a ```

I have a feeling there might be some intersections in this image. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#4343ffff b,#ff0606ff c,#ff9494ff d,#9a9affff e,#0505ffff f,#ff4949ff g,#e6d4ecff ``` ```image gc ggccffbbbbbbbbbbbf gcccffbbbbbbbbbbbffccg gfbbbbbbbbbbbffcccg fbbcgg cbbc cbbf gbbbg fbbc cbbc cbbf gbbbg fbbc cbbc cbbf g gbbbg ae fbbc ea c ded ae ea ded ae ea deg ee ea deg ee gea deg ee ged aeg ee ged ae ee ged ae ea ded ae ea ded ae ea deg ae ee ea ea ed ged geg de de ae ae ea ea ed ed geg deg de ae ae ee ea ea ed geg geg de ae ae ee ea ea ed ```

This image might have some surprises. Let's look for intersections carefully. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0b0cfbff c,#f0918aff d,#737cecff e,#ef413eff f,#99c796ff g,#b1d7b1ff ``` ```image d dbd bb bb dbb dbd bbg e bb fffffffffffffaafffffffffffffffffg gbb ggggggggggggcafaggggggggggggggggf dbd ggggggggggggaggaegggggggggggggggf bbd gggggggggggaegggagggggggggggggggf bb ggggggggggfaggggeaggggggggggggggf bbggggggggggaggggggafgggggggggggggf dbbgggggggeeggggggfagggggggggggggf gbbdgggggaggggggggacggggggggggggf gggbbfggafgggggggggaggggggggggggf gggggbbeaggggggggggeagggggggggggf ggggggdbbgggggggggggagggggggggggf ggggggacdbdgggggggggfaggggggggggf gggggcagggbbdggggggggacgggggggggf gggggaggggggbbggggggggagggggggggf ggggaegggggggdbbbdggggeeggggggggf gggcagggggggggggfbbbbdgaggggggggf gggaggggggggggggggggdbbbbdggggggf ggeeggggggggggggggggggggebbbbfggf gfaggggggggggggggggggggggaggdbbbd gafggggggggggggggggggggggeegggggdbbbd eeggggggggggggggggggggggggagggggf dbbbd agggggggggggggggggggggggggcaggggf gbbbbd acggggggggggggggggggggggggggacgggf dbbbd caggggggggggggggggggggggggggggagggf dbbbd a ggggggggggggggggggggggggggggeeggf dbbbd ac gggggggggggggggggggggggggggggaggf dbb ca gggggggggggggggggggggggggggggcagf a ggggggggggggggggggggggggggggggacf ee gggggggggggggggggggggggggggggggaf a fffffffffffffffffffffffffffffffee a a ee ca a ac ac a ca ee a a ac ca ca a a a ac ec a a a ca ee a a a a ec ce a a ca ac a ca a a ac ac a ca ca a a ee a a ac a a ce a a ac a ee a ca ac a ee a ca ac a ee a ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0806fdff c,#fe8484ff d,#b4b3feff e,#f73f46ff f,#fec7c8ff g,#5c5bfeff ``` ```image caac faaaaf eaeeae caaffaaf aac caa eae aac faaf faaf aac eae caa faaf faaf caa eae aac bd caa faaf bbbd faac eae dbbbgd eae faaf gbbbg caaf cae dgbbbd aac aac dbbbbd eae caaf dbbbgd faaf eae gbbbg aac faaf gbbbgcae cae dgbbbef aac dbbbgd caa caebbbg eae faaf gbbbg faaf eae dgbbbd cae caa dbbbbd aac faac dbbbgd caa eae gbbbg eae faaf dgbbbggd faaf aac dbbbbbbgdd eae eae dgbbbbbbgd aac faaf ddgbbbbbbgd caa aac dggbbbbbbgeac caa dgbbbbbbbgd faaf dgbbbbbbggd eae febbbbbbbgdd caa caaddgbbbbbbgd faac eac dggbbbbbb eae faaf dggbb caaf eae d aac faac eae caa faaf eac aac faaf caa eae aaf faaf ae caa a aac c faaf eae faaf caa aac faaf eae faaf caa aac ```  There's no doubt about it - this is an intersection in area A. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0706feff c,#fe8282ff d,#adacfeff e,#fc3d40ff f,#ffc8c8ff g,#5b5bffff ``` ```image d gbd bbd bb dbg gbg bbd e bb aaf dbb cafa gbg a ac gbd ac a bb fa ca dbb a af dbg ee fa gbd a ac bbd af a bbce ce dbg a afgbg fa ca bbd ac a bb a ac dbbbd ee fa dgbbbd a a dbbbbd ee ebbbg fa a dbbbg af ee gbbbg ee a gbbbd a fa dgbbbd af af dbbbgd ca a dbbbg a ee gbbbg ac a gbb fa fa a af ec a fa ee af a ee ca a af af a ca ee a a ac ca ca af a a ac ec fa a a ca ee af a fa af ec ce a a ca af af ca fa a ac ac a fa ce a af ee fa fa ac af a ce a fa ac a ee a fa ac a ee a fa af a ee a ```

I'm approaching this image with caution. Intersections might be tricky to spot. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#fc0707ff b,#0506fdff c,#f39f99ff d,#3d42f0ff e,#f2514bff f,#add4adff g,#9398f4ff ``` ```image c a ac a a ca g a bb ee bdgb a dd bg ee db b a gb gb ac gb bg a gb b ac b gb ca b bg a b b ca bg dd a bg b ee bd b a bd dd ac db b a db gb ac gb bg ca gb b a gb gb ca b bg a b b ee fffffffffffffffff b gb a fffffffffffffffffbg bgfffffffffffaef ffffffffffffffffbg fbfffffffffffaff fffffffffffffffbd fdbfffffffffacff ffefffffffffffbdf ffbfffffffffafff ffeafffffffffdbff fffbfffffffaffff fffaefffffffdbfff fffddfffffcaffff ffffaffffffdbffff ffffbfffffafffff fffffaffffgbfffff fffffbfffeefffff fffffeafffbffffff fffffbdffaffffff ffffffaefbfffffff ffffffbfaeffffff fffffffabffffffff ffffffgbafffffff fffffffbaffffffff fffffffbdfffffff ffffffbgcafffffff fffffffabfffffff fffffbdffaaffffff ffffffafgbffffff ffffbdffffacfffff fffffcaffbgfffff fffbdffffffafffff fffffaffffbfffff ffdbfffffffcaffff ffffeaffffdbffff ffgfffffffffeafff ffffaffffffbgfff fffffffffffffaeff fffeefffffffbfff ffffffffffffffaff fffaffffffffddff fffffffffffffffaf ffaefffffffffbff fffffffffffffffea ffafffffffffffbf ffffffffffffffffae facfffffffffffdd a cafffffffffffffb a a gb ca ca bg ae a b ac ee gb a a bg ca ac b ee a gb ac ac bg a ca b ca a dd ea ca b ac a b a ee dd a a b ea ac b ae a dd a ac b a a gb ca a bg ae ca b ac a gb a ee b ca a ee ee ac a aac ca ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fd0708ff b,#0505feff c,#ff5757ff d,#3c37faff e,#d2d1feff f,#feadadff g,#9392fdff ``` ```image e eb ebb cc ebbd faaf dbd caa dbbe cac dbbe aac dbbe faaf gbbe caa gbbg caa gbbg aac gbbg faaf ebbd faaf ebbd caa ebbd aac edbd faafdbde fadbbe dbbe dbbac gbbgaac gbbg faaf gbbg caa gbbg cac ebbd aac ebbd faaf ebbd caa edbd caa dbde aac dbbe faaf gbbe faaf ge caa aac faaf faaf caa aac faa fa c ```  Eureka! There's definitely an intersection in area A! Right then, let's explore the next spot. I'm determined to find out if an intersection exists in area B.  ```palette Key,Color ,#fefefeff a,#fd080aff b,#0504feff c,#ff5c5cff d,#3d3cfeff e,#817ffdff f,#ffb2b2ff g,#cacafeff ``` ```image bb cac dbd faa gbbg aac ebb faa dbe aaf gbbg caa ebd aaf bbe cac gbbg faaf dbd cac bbe faa ebbg aac dbd faa gbbe aaf ebbg caa dbd aaf gbbg cac ebb faaf dbe cac gbbg faa ebb aac bbefaa gbbaac dbba gbbe cabbg aadbd cacgbbe faaf ebbg cac dbd faa gbbe aac ebb faa dbd aaf gbbg caa ebb aaf dbe cac gbbg faaf ebd cac bbe faa gbbg aac dbd faa bbe aaf ebbg caa dbd aaf gbbe cac ebb faaf db cac gb ```  Success! This area contains an intersection point! After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#fe0506ff b,#0909feff c,#ff8181ff d,#5958fdff e,#ff4141ff f,#ffc3c3ff g,#b0b0ffff ``` ```image c a ac fa af fa g a bb ce bdgb a bb bd ee db b a db gb ac gb bg a gb b af b db fa b bg a bg b ca bg db a bg bg ee bd b a bd dd ac bb b a db gb af db bd fa gb b a gb gb ca b bg a b b ee bg gb a bg bg ec bd b a bd db af e bd bg fa ca db b af ac db dd ca af db b a a gb gb ce ca gb bd a ae b b ec ab gba ba bd bgfa fab bd ee afgb bd af fa bg bb a a b db fa ce db g ea a bg ac ee b a a dd fa ac b ca a b ac af dd af fa b a a gb ca ca bd ae a b af ee gb a a bg ca ac b ee a db af af bg a fa b fa a db ee ca bg ac a b a ee dd fa a b ca ec gb ac a bd af af b a fa gb ca af bg ae ca b af a gb a ce b ca a ee ec af a aac fa ```

I have an image in front of me. I need to determine if there are any intersection segments. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#494ff2ff b,#fc0809ff c,#9a9ef6ff d,#b1d7b1ff e,#e96960ff f,#0606fdff g,#9ac597ff ``` ```image cf faa cf f f cf cf f f f f fc fc f f fc fc f f aa fc f f cf aa f f cf aa fc f f ca fc f gddfddddddddddddg cf gddaadddddddddddd f gdddfdddddddddddd cf gdddafddddddddddd d f gddddfddddddddddd ebbbb cf gddddcfdddddddddd ebbbbe f gdddddfgddddddddd ebbbbe f gddddddfddddddddgebbbbe fc gddddddfaddgebbbbe f gdddddgefbbbegddd fc ggebbbbeaaddddddd f ebbbbegdddddfddddddd ac bbbbe gddddddddafdddddd f bd gdddddddddfdddddd aa be gdddddddddcfddddd f be gddddddddddfgdddd aa be gddddddddddgfdddd f be gdddddddddddfcddd ca be gddddddddddddfddd f bb gddddddddddddfadd cf bb dgggggggggggggfgg f bb aa cf eb f f eb cf ggggggggggggggggfgggggggeb f dddddddddddddddfgddddddebg f dddddddddddddddfddddddebdg fc ddddddddddddddfcdddddgbddg f ddddddddddddddfdddddgbdddg fc dddddddddddddfaddddgbddddg f dddddddddddddfdddddbdddddg aa ddddddddddddaaddddbgdddddg f ddddddddddddfddddbgddddddg cf dddddddddddaadddbgdddddddg f dddddddddddfdddbeddddddddg cf ddddddddddaaddbedddddddddg fc ddddddddddfddbeddddddddddg f dddddddddafdbedddddddddddg fc dddddddddfdbeddddddddddddg f ddddddddcfbbdddddddddddddg aa ddddddddfbbddddddddddddddg f dddddddgfbdddddddddddddddg cf dddddddfbddddddddddddddddg f ddddddefdddddddddddddddddg cf dddddefcdddddddddddddddddg fc ddddebfddddddddddddddddddg f dddebfcddddddddddddddddddg fc ddebdfdddddddddddddddddddg f dgbdfadddddddddddddddddddg aa gbddfddddddddddddddddddddg f bddaaddddddddddddddddddddg aa dddfdddddddddddddddddddddg f ddaadddddddddddddddddddddg cf ggfggggggggggggggggggggggd f ca f f fc cf f f aa f aa f ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#5150fdff b,#fd090aff c,#adacfdff d,#febdbdff e,#fe6566ff f,#0605feff g,#6a11a5ff ``` ```image afa e ffc eb afa ebb ffc ebbe afa dbbe ffc dbbe afa dbbe ffc dbbe cff dbbe ffc dbbe cff dbbe ffc dbbb cff bbb afc bbb cff bbb afa bbbd cff ebbd afa ebbd cff ebbd afa ebbd ffc ebbd afa ebbd ffc ebbd afa ebbd ffc dbbe cfa dbbe ffc dbbe cff dbbe ffc dbbe cff dbbe ffcdbbe cffdbbe afabbb cffbbb afgbb cffbb afgbd cffbd gfgd effc egfa ebffc ebgfa ebbffc ebbgff dbbeffc dbbecff dbbe ffc dbbe cff dbbe afc dbbe cff dbbe afa dbbb cff dbb afa d cff afa ffc afa ffc ```  Aha! I've found an intersection inside area A! Let's shift our focus to the next area. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#4943f9ff b,#ff0303ff c,#8e8effff d,#e3d2edff e,#fe8989ff f,#0606feff g,#f6363eff ``` ```image ffc cffd afc dffd afa dffd afa dffc cff ffc cff afc dffd afa dffd afa dffc d cff deegbb ffc deegbbbbbbb cffdeegbbbbbbbgeed deeffabbbbbgeed deegbbbbgffgeed deegbbbbbbbgeeafa gbbbbbbbgeed dffd bbbgeed afa ed dffc cfa ffc cff ffc cffd afa dffd afa dffd cfa ffc cff ffc cff afc ```  Area B contains an intersection. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#403ffeff b,#fd0809ff c,#8181ffff d,#ffc6c6ff e,#fd6a6bff f,#0505feff g,#c3c3ffff ``` ```image g cf fca gf f f cf gf fg fg gf gf fg fg f f ac fg f f aa ac f f cf ac f f gf aa fg f f ca fc f f cf aa f f gf cf d f f debbbb gf gf debbbbe fg fg debbbbe f f debbbbed fg fc debbbbed f defbbbed fc debbbbeaa f debbbbed f ac bbbbed ca f bd f ac bd gf f be fg ca be gf f be fc ca be f f bb ac cf bb f f bb ca gf eb f fg eb cf gf eb fg fg eb gf f db fg fg db f f db ac ac db f f b aa ac bd f f bd cf aa bd f f bd gf ca be fg f be f cf be fc f be f gfbe aa fbb f gfb cf fb f ef gf efg fg ebf f dbfc fc db f f db ac aa db f f b ac ca f f ca gf f fg ca gf f fg cf f f ac f ca f ```

I'm on the case! Let's uncover any intersections hidden in this image. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0606ffff c,#ff7676ff d,#5656ffff e,#ff3737ff f,#ffbcbcff g,#aaaaffff ``` ```image f ee ac af a a fa ca ee ac af a fa fa ea ae ac af a fa ca ea ae af af a fa ca ee ac af a fa fa ca ee ac af a fa ca ea ffffccccceeeaaaaaaaa aeeeaaaaaaaaaaaaaaaaaaaaaaeeeeccccfffff fffff gdg dbbgdbbbd dbd dbbbdg bbd gbbbbg gbbg gdbbbdg dbb gbbbbg bbd gdbbbd gbbg dbbbdg gbbg gdbbbd dbb dbbbdg bbd gbbb gbbg dbb dbd bbd gbbg bb ```

I'm analyzing this image to identify any points where lines intersect. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#fe0605ff b,#0707feff c,#f59b96ff d,#565af6ff e,#a8a8feff f,#aed5aeff g,#f64944ff ``` ```image e dbbe bbbe ebbb ebbd ebbd dbbe dbbe bbbe ebbb ffffdbbdfffffffffffff eeedd fffffffdbbdffffffffff eedddbbbbbbbbbbbddde ffffffffffdbbdfffffff eeeddbbbbbbbbbbbbddeee fffffffffffffbbbbbbbbbbbdddee fffffffffffffffffffff fffffffffffffffffffff fffffffffffffffffffff fffffffffffffffffffff fffffffffffffffffffff fffffffffffffffffffff fffffffffffcggaafffff fffcgaaaaaaagcfagffff ccgaaaaaaggcffffffffffaffff cggaaaaaagc fffffffffffffffffafff gaaaaaagcc fffffffffffffffffgaff c ffffffffffffffffffacf fffffffffffffffffffaf fffffffffffffffffffca ffffffffffffffffffffgg fffffffffffffffffffffac fffffffffffffffffffff a fffffffffffffffffffff ca fffffffffffffffffffff gg fffffffffffffffffffff ac fffffffffffffffffffff a fffffffffffffffffffff ca fffffffffffffffffffff ag fffffffffffffffffffff a a ca ac a a ga ac a ca gg ac a ca gg ac a ca ag a a ca ac a a ga ac a ca gg ac a ca gg ac a ca ag a a ca ac a ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0404ffff c,#ff8181ff d,#4e4effff e,#9e9effff f,#ffc2c2ff g,#ff4545ff ``` ```image edbbbbde edbbbbde edbbbbde ebbbbbde edbbbbbe edbbbbde edbbbbde eeeeeddd edbbbbbbbbbbbb edbbdddddee fffccggaaaf ffccggaaaaaaaaaaaag ffccggaaaaaaaaaaaaggccfffaac cggaaaaaaaaaaaaggccff faaf aaaaaaaggccff caa ccff gag faac caaf gaa aag faac caa ga a f ```  I don't observe any intersections inside area A. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0606ffff c,#ff8383ff d,#5959ffff e,#a7a7ffff f,#ffc1c1ff g,#ff4444ff ``` ```image e dbbe bbbe ebbb ebbd ebbd dbbe dbbe bbbe ebbb ebbd eeedd dbbd eedddbbbbbbbbbbbddde dbbe eeeddbbbbbbbbbbbbddeee dbbbbbbbbbbdddee fcgaa fcgaaaaaagcfac fcgaaaaaagcf a fcgaaaaaagcf fa gaaaaaagcf ga cf ac a fa gg af a fa gg af a ca ag af a ca ac a fa ga ac a fa gg af a fa gg af a ca ag af a ca ac a fa ga ac a fa gg af a fa gg af a ca ag af a ca ac a ```

I'm approaching this image with caution. Intersections might be tricky to spot. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#0808feff b,#fe0706ff c,#fca8a7ff d,#b2b2ffff e,#f65954ff f,#aed5aeff g,#5b5ff5ff ``` ```image c cceebbbbbbbe ceebbbbbbbbecc ccebbbbbbbbeecc cceebbbbbbbbecc bbeec ebc bb cbc bb cbe bb be ffffffffffffffff eb ffffffffffffffff be ffffffffffffffff ebc ffffffffffffffff bb ffffffffffffffff cbc ffffffffffffffff bb ffffffffffffffffcbc fffffffffffffffbb ffffffffffffffbe ffffffffffffbbff fffffffffffbefff fffffffffebfffff ffffffffbbffffff ffffffebcfffffff fffffbbfffffffff fffebeffffffffff ffbbffffffffffff ga ffffffffffffffff gaaagag ffffffffffffffff daaag ag ffffffffffffffff dgaagd ad ffffffffffffffff gaaad a ffffffffffffffff gaaag a ffffffffffffffgaaag da fffffffffffgaaag ga fffffffgaaagffff ga fffgaaagffffffff ag ffagffffffffffff ad ad a da da ga aa ag ad ad a da da ga ag ag ad a a da ga ga ag ag ad a a da ga aa ag ad ad a da da ga aa ag ad a ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0505ff c,#ff8888ff d,#b0b0ffff e,#ff3e3eff f,#ffcbcbff g,#5959ffff ``` ```image f cb febb cbbbf febbe cbbbc febbef cbbbc ebbef fbbbc cbbef febbc cbbbf febbe cbbbf febbe cbbbc ebbef fbbbc bef f dg dggaaa ddgaaaaaag dgaaaaaagd dgaaaaaagdd dggaaaaaggd ddgaaaaaagd daaaaaagd aagdd ```  Unfortunately, there's no intersection inside area A. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0404ff c,#ff9b9bff d,#9292ffff e,#ff4848ff f,#e3d3efff g,#4a4affff ``` ```image fc fceebbbbbbbe fccebbbbbbbbeccf cceebbbbbbbeecf fceebbbbbbbeecc bbeccf cbc bb cbc bb cbc eb fbe ebf be ebf bb cbc bb cbc bb fbe eb fbe ebf be cbc bb cbc bb fga f daaadag daaagf ad fgaagf af fgaaad af daaad fa daaagf da fgaagd da gaaad ga daaag ag agf ad af a fa da ga gg ag ad af a fa da ga ag ad ad af fa fa da ga ag ad af af fa da ga ga ag ad af a fa da ga ag ag ad a ```

Alright, let's get to work and investigate this image for intersections. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff3c3cff b,#0606ffff c,#a2a2ffff d,#ff8080ff e,#5050ffff f,#ffc4c4ff g,#ff0404ff ``` ```image f fdgggga fdggggadf fdgggggdf fdaggggdf fdaggggdf daggggaf daggggaf dggad fg g gf gf gd ga aa ag dg fg fg g gf gd gd ga ag dg dg fg g gf gf gd ga aa ag dg fg fg g gf gd gd ga ag dg fg fg g e cbbc ebb cbbe ebbc bbe cbbc bbe cbbc ebb cbbc ebb bbe ebbc bbe cbbc ebe cbbc ebb ebbc cbbe cbbe ebbc ebbc cbbe cbbe bbbc ebbc cbbe cbbe bbb bbc ```

Let's examine this image for potential line intersections. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#5458f5ff b,#fd0909ff c,#acd4adff d,#ffb2b2ff e,#0707feff f,#a9aafdff g,#f16b64ff ``` ```image ff ffffaaaaeeeeeeeeeeeeeeeeeea eeeeeeeeeeeeeeeeeeaaaaffff aaf e aa e fe e fe e e ef e bbd ef bbd e bbd aa bbd e bbd ccccccccccaacccc bbd cccccccccceccccc bbd cccccccccaeccccc dg bbd cccccccccecccccc gbbbg bbgcccccccfecccccc gbbbg bbgccccceccccccc gbbbg ccbbgccceccccccc gbbbg ccccbbgecccccccc gbbbg ccccccbegccccccc gbbbg cccccceabbgccccc dbbbgd ccccccecccbbgccc dbbbgd ccccceacccccbbgc dbbbgd ccccceccccccccbbg dbbbbd ccccaaccccccccccbbbbbbd cccceccccccccccc d cccaeccccccccccc cccecccccccccccc ccaecccccccccccc e fe e e ef e ef e aa e aa e fe e fe e fe ef e ef e ef e aa e aa e fe e fe e e ef e ef e aa e aa e fe e fe e ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#4c47f9ff b,#fe0202ff c,#9191feff d,#ff9494ff e,#0605feff f,#d3d2feff g,#fb1f22ff ``` ```image aea feef aea feef cea eec cea eec cee d eec bgd cee gbbgd aec dgbbgd feef dgbbgd aea dgbbgd feef dgbbgd aea dgbbgdfeef dgbbaea dgeegd ceebbgd eecdgbbbd cee dgbbbd eec dgbbbd cee dgbbbd aec dgbbbd fee dgbb aec dg feef aea feef aea feef cea eec cea eec ```  Wow! I can see an intersection so clearly in area A! It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#3d3dffff b,#fe0a0aff c,#7f7fffff d,#ffababff e,#0404ffff f,#c5c5feff g,#ff6b6bff ``` ```image fff fffccccaaaeeeeeeeeeeeeeeeeaa aeeeeeeeeeeeeeeeeeaaacccfff aaf e ca e ce e fe ef fe ef e bbd ec bbd e bbd ac bbd e bbd ca bbd e bbd ca g bbd e gbbbg bbd fe gbbbg bbd e gbbbg bbd fe gbbbg bbdef gbbbg beg gbbbg efbbg dbbbgd e bbg dbbbgd ac bbg dbbbgd e bbg dbbbbd ac bbbbbbd e d ca e ce e fe ef fe ef e ec e ac e ca e ca e fe e fe ef e ef e ac e ac e ca e ce e fe ef fe ef e ec e ac e ca e ca e fe e ```

I'm optimistic that I'll find some intersections in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0506feff c,#ffbcbcff d,#a7aaf8ff e,#f3514bff f,#4e4ff2ff g,#add4adff ``` ```image c ee a ca ee a ca ee a ca ee a ca ee ac a ee ac a ee ac a ee ac a f ee bb ac dbd a fb ea bb ac bf a db ea bb ac bf a dbd ea fb ac bf a dbd ea fb ac bb a dbd ea fb ac bb a bf ea db ac bb a ggggggggggggggggggggbf eaggggggggggggggggggfbd aeggggggggggggggggbbg agggggggggggggggbfgg eaggggggggggggdbdggg gaeggggggggggfbggggg ggagggggggggbbgggggg ggeagggggggbfggggggg gggaeggggfbggggggggg ggggaaaebbgggggggggg gggggggbfaaegggggggg gggggfbggggeaaaegggg ggggbbgggggggggeaaaec ggfbfggggggggggggggeaaaec gbbggggggggggggggggg caaaec fbdgggggggggggggggggg caaaec dbfgggggggggggggggggggg caaaec bb gggggggggggggggggggg caaaec fbd gggggggggggggggggggg caaaec dbf gggggggggggggggggggg caaae bb c fbd dbf bb fbd dbf bb fbd dbf bb fbd dbf bb fbd bf ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0404feff c,#ff9a9aff d,#c4c3feff e,#fd4b4cff f,#3a2cf0ff g,#7b78fcff ``` ```image g gb c dfbb a dbbbd ae gbbf aac fbbg caa dbbbd eae gbbfd aac fbbg caa dbbbd eae gbbfd aac fbbg caa dfbbg eae gbbfd aac gbbf caaaec dfbbg eaaaaaaegbbbd ceeaafbbfec dfbbfaaaaaec dbbbd cceaaaaaaec gbbfd cceaaaaaaec fbbg cceaaaaaaec dbbbd cceaaaaa gbbfd ccea gbbbg dfbbfd gbbbg bbbg bfd g ```  I can confirm that an intersection exists in area A. After careful examination, I conclude that there is one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0606feff c,#ff9292ff d,#ababffff e,#ff4343ff f,#4e4afbff g,#fdd0d1ff ``` ```image g ee a ga ee ag ga ee ag ga ee ag ga ee ag ga ee ag ga ee ag ga ee ag a f ee bb ag dbd a fb ee bb ag bf a db ea bb ag bf a dbd ea fb ag bf a dbd ca fb ag bb a dbd ca fb ac bb a bf ca db ac bb a bf ca dbd ac fb a bf ca dbd ac fb a bb ca dbd ac fb aaaebb gbfaaeg db caaaeg bb caaaeg dbf caaaeg bb caaaeg fbd caaaeg dbf caaaeg bb caaaeg fbd caaaec dbf ceaae bb c fbd dbf bb fbd dbf bb fbd dbf bb fbd dbf bb fbd bf ```

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,#4a49f5ff b,#fe0606ff c,#9a9df8ff d,#f7504cff e,#f99e9bff f,#0607feff g,#acd3abff ``` ```image c aa f cf fc f cf fc f aa f f aa f cf fc f cf fc f af f f aa f cf fc f d cf bdbbbd fc eb ebbbde f b ebbbde af be ebbbbe fc eb edbbbe ggfggggggggggbgg edbbbe ggaaggggggggbegg dbbbd gggfgggggggdbggg dbbbd ggggfggggggbgggg ebbbde ggggfaggggbggggg ebbbde gggggfgggddggggg ebb gggggcfggbgggggg ggggggfcbggggggg gggggggfdggggggg ggggggeafggggggg ggggggbgfcgggggg gggggbdggfgggggg ggggdbgggaaggggg ggggbgggggfggggg gggbeggggggfgggg ggdbgggggggfaggg ggbgggggggggfggg gbggggggggggcfgg dd fc b f b cf bd fc eb f b af be cffa eb affc b affc be affc eb fffc b cfff be cffa db cffa b cffa b affc dd affc eb affc b fffc bd cfff eb cffa b c be eb b be db b b ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#3d32f4ff b,#fe0809ff c,#c0bffeff d,#fc585bff e,#ffaeaeff f,#0404feff g,#7d7dffff ``` ```image ffg bbd cffc dbb afa ebbe cffg bbd gff dbb afa ebbe cffc bbd gff dbb afg ebbe cffc bbe gfa dbd ffg ebb cffc ebbe afa bbd ffgdbb gffbbe afad dffc ebaff bbdafg dbb cffc ebbe gfa bbe ffg dbd cffc ebb afa ebbe ffg dbd gff dbb afa ebbe cffc bbd gff dbb afg ebbe cffc bbd gfa ```  Yes! I knew it! There's an intersection right here in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#3834faff b,#ff0606ff c,#bcbcffff d,#ff5858ff e,#ffaeaeff f,#0303ffff g,#7878ffff ``` ```image c ag f cf fg f gf fc f ga fc f aa f cf fg f gf fc f ga fc f aa f cf fg f d cf bdbbbde fc eb dbbbde f b ebbbde ga be ebbbbe fc db edbbbe f b edbbbd aa be edbbbd f db dbbbd cf b dbbbde ag be ebbbde f dd ebb cf eb fgb fd eaf b fc be f eb aa b f be cf db ag b f be cf dd fg b f b gf bd fc eb f b ga bd gffg eb gffg b affg be affc db caffc b cffac be cffa db gffa b gffg b gffg dd affg eb affc b caffc bd cffac eb cffa b g be eb b be db b be ```

This image might have some surprises. Let's look for intersections carefully. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#fd0908ff b,#0a0afdff c,#eb5d5aff d,#b1d7b2ff e,#6e6ff6ff f,#97c697ff g,#ffb7b7ff ``` ```image g aa cacc ga a a ga ag a ac ga ca ag ga a a ac a a ag cc ac a ca ga ga a a ga ag ag ac a aa ac ca a ga cc a a ag ca ac a ca ga ga ag a a ag ag ag a ac cc ca eb a ga beb ca a bd eb a ag be eb ga ac eb eb ag ca b eb gaffffffffffffffffffffffffffd ga bd eb acdddddddddddddddddddddddddf a be bb fadddddddddddddddddddddddddf a eb bb facddddddddddddddddddddddddf ag b bb fdaddddddddddddddddddddddddf ac b be fdcadddddddddddddddddddddddf ca be be fddadddddddddddddddddddddddf ga eb be fddcaddddddddddddddddddddddf a b be fdddafdddddddddddddddddddddf ag b be fdddfadddddddddddddddddddddf be be fddddacddddddddddddddddddddf eb bd fdddddaddddddddddddddddddddf b bd fdddddacdddddddddddddddddddf b b fddddddadddddddddddddddddddf be bfddddddccddddddddddddddddddf eb bdddddddaddddddddddddddddddf b fbddddddcadddddddddddddddddf b ffbddddddadddddddddddddddddf be fdfbdddddfaddddddddddddddddf eb fddebdddddafdddddddddddddddf b fdddebdddddadddddddddddddddf b fddddebddddacddddddddddddddf be fdddddebddddaddddddddddddddf eb fddddddebdddccdddddddddddddf b fdddddddbbdddadddddddddddddf b fddddddddbbddcaddddddddddddf be fdddddddddbbddaddddddddddddf eb fddddddddddbbdfadddddddddddf b fdddddddddddbbdafddddddddddf b fddddddddddddbbdaddddddddddf be fdddddddddddddbeacdddddddddf eb fddddddddddddddbeadddddddddf b fdddddddddddddddbecddddddddf b fddddddddddddddddbcddddddddf be fdddddddddddddddddbcdddddddf eb fddddddddddddddddddbfddddddf db fddddddddddddddddddcbfdddddf b fdddddddddddddddddddabfddddf be fdddddddddddddddddddfabddddf eb fddddddddddddddddddddacbdddf db fdddddddddddddddddddddafbddf b fdddddddddddddddddddddacdddf be fddddddddddddddddddddddadddf fddddddddddddddddddddddcaddf fdddddddddddddddddddddddaddf fddddddddddddddddddddddddddf fddddddddddddddddddddddddddf fddddddddddddddddddddddddddf ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0d0afcff c,#fc8385ff d,#c5c5feff e,#635ef9ff f,#f53c45ff g,#fec4c4ff ``` ```image af aag caf aac caa aac caa fac gaag faf gaag caf aag caa aac caa fac gaag faf gaag faf aag caf aac caa fac gaa faf d gaag bd faf bb gaag bbb caf dbbb aac dbbb caa dbbe aac dbbe gaa dbbe fac dbbe gaag dbbe faf dbbe gaag dbbe caf dbbe aac ebbe caa ebbe aac ebbd caa ebbd fac ebbd gaag ebbd faf ebbd gaag ebbd caf ebbd aag ebbd caa bbbd aac bbbd caa bbb fac dbbb gaag dbbb faf dbbe gaag dbbe faf dbbe aag dbbe caf dbbe aac dbbecaa dbbefac dbbeaa dbbeaf ebbfag ebbff ebbfg ebbf ebbc ebbd bbbd gbbbd fbbbd gabbbd fabbbd gaabbb cafbbb aacbbb caadbbb aacdbbe caa dbe fac d gaag faf gaag caf aag caa fg ```  Success! This area contains an intersection point! I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#fe0506ff b,#0909ffff c,#fd8182ff d,#bbbbfeff e,#6360fcff f,#f93e43ff g,#fec4c4ff ``` ```image g aa cacf ga a a ca ag ag ac ga ff ag ca a ga fc a a ag ff af a fa ca ga a a ga ag ag ac a ff ac ca a ga ff a a ag ca af a fa ga ga ag a a ag ac ac a ff ff ca db a ga bdb cf a bd db a ag be eb ga ac db eb ag fa b eb ga ca bd eb ac ga be bb a a db bb fc ac b bb a af bd be cf ca be be a ga eb be ca a b be ag ag bd be ga be bd ag eb bd a b bd fc bd bd a be b ff eb b a b db ca b db a be db ga eb db ag db db a b eb ac be eb a eb eb ff db eb a b eb ca be bb a eb bb ga db be ag b be a be beac eb bea db bef b bf bd bf eb bd db gbd b abd bd gab eb acb db adb b fc bd a cf a ```

I'm on the case! Let's uncover any intersections hidden in this image. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#3e43f5ff b,#fd0807ff c,#f6aaa6ff d,#0303feff e,#969eeeff f,#afd6afff g,#ec544fff ``` ```image e dd ffffffffffffffffffffffffffadgb ffffffffffffffffffffffffedabbf fffffffffffffffffffffffddfbgff fffffffffffffffffffffadefbgfff fffffffffffffffffffedaffbgffff ffffffffffffffffffddfffbcfffff ffffffffffffffffadefffbfffffff ffffffffffffffedafffcbffffffff fffffffffffffddffffgbfffffffff fffffffffffadeffffgbffffffffff fffffffffedafffffgbfffffffffff ffffffffddffffffbbffffffffffff ffffffadeffffffbbfffffffffffff ffffedafffffffbgffffffffffffff fffddffffffffbgfffffffffffffff fadeffffffffbgffffffffffffffff edafffffffffbcfffffffffffffffff ddffffffffffbfffffffffffffffffff ade ffffffffcbffffffffffffffffffff eda fffffffgbfffffffffffffffffffff dd ffffffgbffffffffffffffffffffff ade fffffgbfffffffffffffffffffffff eda ffffbbffffffffffffffffffffffff dd fffbbfffffffffffffffffffffffff ade ffbgffffffffffffffffffffffffff da fbgfffffffffffffffffffffffffff da bgffffffffffffffffffffffffffff de bc de b de cb de cb de gb de gb d bb d bb d bg ed bg ed bc ed bc ed b ed b ad b ad bc ad bc ad bc ad bg dd bg da bg da bb da gb da gb da gb de cb de cb de cb de cb de b d b d b d bc bc bc bg bg bg bb gb gb gb cb cb cb cb b b bc bc bc ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#5552fcff b,#ff0505ff c,#ff8787ff d,#0808feff e,#adadffff f,#fec8c9ff g,#fd4143ff ``` ```image eddda eadddgb adddagbb edddafbbbf eadddefbbg addde fbbg eddda cbbg eaddde cbbg addde cbbc eddda gbbc eaddde gbbc addde gbbf eddda gbbf eaddde fbbbf addde fbbbf eddda fbbg eaddde fbbg addde cbbg eddda cbbg eaddde cbbc addde gbbc eddda gbbc eaddde gbbf addde gbbf eddda fbbbf eaddde fbbbf addde fbbg eddda fbbg eaddde cbbg addde cbbg eddda cbbc eaddde gbbc addde gbbc dda gbbf de fgbbf fbbbf fbbgf fbbg fbbg cbbg cbbc cbbc gbbc gbbc gbbf fgbbf fbbbf fbbgf fbbg cbbg cbbg cbbc cbbc bbc ```  No intersection found in area A, but I won't give up. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#4b4bffff b,#ff0404ff c,#ff8181ff d,#0404feff e,#adadffff f,#ffc8c8ff g,#fc393cff ``` ```image e dd adgb edabb dd bg ade bg eda bc dd bf ade fbf eda fb dd cb ade cb eda gb dd gb ade bg eda bg dd bc ade bc eda bf dd fbf ade fb eda cb dd cb ade gb eda gb dd bg ade bg da bc da bc da bf de fbf de fb de cb de cb de gb de gb d bg ed bg ed bc ed bc ed bf ed fbf ad b ad bf ad bf ad bf ad bc ad bc dd bg da bg da gg da gb da gb da cb de cb de cb de fb de fb de fb de b d bf d bf bf bc bc bg bg gg gb gb cb cb cb fb fb fb bf bf bf bf ```

Based on a first glance, I suspect there could be intersection regions here. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#ff5d5dff b,#4040ffff c,#ff0707ff d,#0606ffff e,#babaffff f,#ffadadff g,#6f6fffff ``` ```image e eegbddddddddb eegbddddddddbgee eegbddddddddbgee gbddddddddbgee dbee db bd gd ed ed d de de dg db bd gd ed ed d de de dg db bd gd ed ed d de de dg db bd gd ed ed d de de dg db bd gd g fccccccccccccccccccccaaaaaaaffffff fcc ffffffaaaaaaccccccccccccccc acc cca ccf fccf acc acc cca ccf fccf acc aca cca fccf fccf cc ```

I'm analyzing this image to identify any points where lines intersect. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#989df4ff b,#fe0504ff c,#0706fdff d,#f99390ff e,#add5aeff f,#494ef4ff g,#ec5d55ff ``` ```image a c ca ac c ca c c ff c ca ac c ca ff c c ff ca c ac ac c ca ca c c ff d c c bbg ff c b bg c ca b bg ca c db bg ac ac b bg c c bd bg ff c b bg c ff b bg ca c gb bg ac ac b bg c ca bd bgeeeeeeeeeeeecfee c b bgeeeeeeeeeeeceee ff b bgeeeeeeeeeceeee c gg ebgeeeeeeefceeee ac b eebgeeeeeeceeeee ca bd eeebgeeeecaeeeee eeceeeeeeeeedbee eeeebgeeaceeeeee eefceeeeeeeebeee eeeeebgeceeeeeee eeeceeeeeeeggeee eeeeeebcfeeeeeee eeeeceeeeeebeeee eeeeeeecgeeeeeee eeeecfeeeebdeeee eeeeeecabgeeeeee eeeeeceeedbeeeee eeeeefceebgeeeee eeeeefceebeeeeee eeeeeceeeebgeeee eeeeeecabgeeeeee eeeecfeeeeebgeee eeeeeeecbeeeeeee eeeeceeeeeeebgee eeeeeeecfeeeeeee eeeceeeeeeeeebge eeeeeegbceeeeeee eefceeeeeeeeeebg eeeeeebeaceeeeee eeceeeeeeeeeeeebd eeeeebgeecaeeeee ecaeeeeeeeeeeeeebd eeeeebeeeeceeeee ac bd eeeebeeeeefceeee c bd eeegbeeeeeeceeee ff bd eeebeeeeeeeaceee c bd eebgeeeeeeeecfee ca bd eebeeeeeeeeeecee ac bd b ac c bd gb c ca bd b c c bd bd ff c bd db c ff bd b ac c bd gg ca ca bd b c ac bd bd ff c b db c ff b ac c gg ca ca b c ac bd fc c db cca b c gg b b db b bg b b ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#b2b2ffff b,#fe0506ff c,#0807fdff d,#fe8181ff e,#f73c43ff f,#5b5afdff g,#fec4c4ff ``` ```image acc ebe fcf gbbg acca ebd fcc dbb ccf gbbg acc ebe fcf gbbg cca bbd fcc dbb ccf gbbg acca ebe fcf gbbg cca bbd acc dbe ccf gbbg acca ebe fccdbb ccebd acce gccf ebcca dbbfcc bbd ccf ebe acca gbbg fcf ebd cca dbb fcc gbbd ccf ebe acca gbbg fcf bbd cca dbb acc gbbg fcf ebe acca gbbg fcc bbd ccf dbb acc gbbg fcf ```  I observe an intersection inside area A. Alright, let's examine the next area. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#7474ffff b,#fe0000ff c,#0303feff d,#ff8484ff e,#c2c2feff f,#2f2cfcff g,#940069ff ``` ```image ecce fca d acf bd ecce bbd fca dbbd acc dbbd cca dbbd acf dbbd ecce dbbd fca dbbd acc dbbd ecce dbbd fcf dbbd ecce dbbd fca dbbd acf dbbdecce dbbfca dgcc ccgd acfbbd eccedbbd fca dbbd acc dbbd ecce dbbd fcf dbbd ecce dbbd fca dbbd acf dbbd ecce dbbd fca dbbd acc dbbd cca dbbd acf dbb ecce db fca d acc ```  Case closed! This is definitely an intersection point in area B. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#9292ffff b,#ff0505ff c,#0605feff d,#ff9090ff e,#dfd5f4ff f,#4745fdff g,#ff6262ff ``` ```image a ec ce ac c ca ec ce ff c ca ac c ce ff c ec ff ce c ac ac c ca ca c ec ff d ce ce bbg ff ec b bg c ca be bg ca c db bg ac ac b bg c ce bg bg ff ec eb bg ec ff be bg ce c gb bg ac ac b bg c ca bd bg ca c eb bg ec ff b bg ce c gb bg ff ec b bg c ca bd bg ca c db bg ac ac b bg c ce gg bff ec b ecg ca bd cebd c db ac bd ac b c bd cegg ca bd cb ec bd cf ce bd dbc ff bd b ac c bd bg ca ca bd eb c ac bd be ff c bd db ce ff bd b ec ec bd bd ca ce bd eb c ac bd be ac c bd gb ce ca bd b ec ec bd bd ff ce bd eb c ff bd b ac c bd gg ce ca bd b c ac bd bd ff c b db c ff b ec ec gg ca ce b c ac bd ff c db cca b ec bg b be db b bg eb be ```

This image looks interesting. I wonder if there are any intersections hidden in there? I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#4951e7ff b,#d76153ff c,#8699d6ff d,#f90d0bff e,#9bc595ff f,#0607fcff g,#b1d7b1ff ``` ```image ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggggeggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggdddgggggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggggddgddggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggddgggedbggggggggggggggggggggggggggggggggggggggg gggggggggggggggggggggddggggggddgggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggddggggggggbdggggggggggggggggggggggggggggggggggggg gggggggggggggggggggddggggggggggedbggggggggggggggggggggggggggggggggggg ggggggggggggggggggddgggggggggggggddgggggggggggggggggggggggggggggggggg gggggggggggggggggddgggggggggggggggbdegggggggggggggggggggggggggggggggg ggggggggggggggggddggggggggggggggggggdbggggggggggggggggggggggggggggggg gggggggggggggggddggggggggggggggggggggddgggggggggggggggggggggggggggggg ggggggggggggggddgggggggggffacgggggggggbdbgggggggggggggggggggggggggggg gggggggggggggddgggggggggfccaafffffacggggddggggggggggggggggggggggggggg ggggggggggggddggggggggggfggggggggcaafffffabeggggggggggggggggggggggggg gggggggggggbdggggggggggfcggggggggggggggggcafffffaacgggggggggggggggggg ggggggggggbdggggggggggcfggggggggggggggggggggddggcaffffffacggggggggggg gggggggggbdgggggggggggfcgggggggggggggggggggggbdegggggggcaffffffacgggg ggggggggbdgggggggggggcfggggggggggggggggggggggggdbgggggggggggggcafffff gggggggbdggggggggggggfggggggggggggggggggggggggggddggggggggggggggggggg ggggggbdggggggggggggcfgggggggggggggggggggggggggggbdeggggggggggggggggg gggggbdgggggggggggggfggggggggggggggggggggggggggggggddgggggggggggggggg ggggbdgggggggggggggcfgggggggggggggggggggggggggggggggddggggggggggggggg gggbdggggggggggggggfgggggggggggggggggggggggggggggggggedbggggggggggggg ggbdggggggggggggggafgggggggggggggggggggggggggggggggggggddgggggggggggg gbdgggggggggggggggfgggggggggggggggggggggggggggggggggggggbdggggggggggg bdgggggggggggggggaaggggggggggggggggggggggggggggggggggggggedbggggggggg gdggggggggggggggggfgggggggggggggggggggggggggggggggggggggggggddgggggggg gdggggggggggggggggaaggggggggggggggggggggggggggggggggggggggggggbdegggggg gd ggggggggggggggggfgggggggggggggggggggggggggggggggggggggggggggggdbggggg gd gggggggggggggggfaggggggggggggggggggggggggggggggggggggggggggggggddgggg gd gggggggggggggggfggggggggggggggggggggggggggggggggggggggggggggggggbdbgg gd ggggggggggggggfcggggggggggggggggggggggggggggggggggggggggggggggggggddg d ggggggggggggggfggggggggggggggggggggggggggggggggggggggggggggggggggggbd d gggggggggggggfcggggggggggggggggggggggggggggggggggggggggggggggggggggge d gggggggggggggfggggggggggggggggggggggggggggggggggggggggggggggggggggggg d ggggggggggggfcggggggggggggggggggggggggggggggggggggggggggggggggggggggg d gggggggggggcfgggggggggggggggggggggggggggggggggggggggggggggggggggggggg d gggggggggggfegggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggcfggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggfgggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gggggggggcfgggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gggggggggfggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggafggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggfgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg eeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee f aa f aa f fc f fc f fc f f f f cf f cf f cf f aa f aa f aa f fc f fc f fc f f gf f ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#4645fdff b,#fb4447ff c,#9595feff d,#fe0506ff e,#f0d4e2ff f,#0505feff g,#ff9191ff ``` ```image ee edd eddbgddg ddb bddb edb gdde edb eddg edd eddb ddb eddd edb bdbe edbe gddg edde bddg eddde gddg ddde eddb edde gddd ebde eddg ebde bdbe bdde ebddg dde e bdde bde fffaace gddg bde cfffffffffaace eddb bdde cfa eccaffffffffaacceeddg bdde ffc ecaafffffffffabbe dde cfa ecccafffffffffacce bde ffc eccafffffffffaacc bde fa bddcaaffffffffaace bdde aa eddg eccaffffffffaaccc ddg efe gddb ecaafffffffffaace bdg af gddg cccaaffffffffacc bdg eff ebdb eeccaffffff bddg cffe edddg bddg afc bdde ddg ff gdde gdg fc eddg gdg cf bddb gddg cf ebdb ddg ff ddbe gdg cff edddg gdg ffc ebdd gddg ffc eddg gddg afa bddb ddg ffe gddg gdg fa ebdg gdg efe ddbe db efe ebdd b af gdde cff eddg afa bddb afc ebdg ff ddbe fc gdddg cf ebdd fc gdbe ff bd cfa g ffc cfa afa ffe fa efe aa af cff afc cff ff fc cf fc cf cfa ffc ```  Aha! I've found an intersection inside area A! I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#3a37fcff b,#fb4447ff c,#7b7bffff d,#ff0808ff e,#c0c0feff f,#0303feff g,#ffaaaaff ``` ```image ddb db bd db gdg db dd db bd db db dd dd dd gdg bd db bd bd bd ffce gdg bd feecafffffac db bd f ecafffffabe bd fe caffffface bd ef dd ecffffface bd fe bd ecafffface bd ef db ecaffff bd f dd bd ef gdg bd f db gd cf bd gd f gdg gd ca dd gd f bd gd ca db gd f dd gd ac gdg gd f db gd ac bd gd f gdg gd fc db gd f bd gd fe g d f d fe d ef d fe ef f ef f ca f ca f aa f ac f ac f fc f fe ef fe ef fe ef f cf f ca f ca f aa f ac f ac f fe f fe ef fe ef f ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#0707feff b,#fe0a0aff c,#aeaeffff d,#ffc7c7ff e,#4f54f5ff f,#eb8881ff g,#add4adff ``` ```image c ca a ac ea ca a ac ea ca a ac ee ca a ac ee ca a ac ae ca a ac ae ca a ac ae ca a ac ae ea ggggggggggggggag gggggggggggggagg ggggggggggggaegg fbf gggggggggggeaggg bb bbfgggggggggggagggg fbd bbfggggggggaggggg bb gbbfgggggaeggggg dbf gggbbfggeagggggg bb gggggbbfaggggggg bb gggggggabfgggggg fbd ggggggaegbbfgggg bb gggggeaggggbbfgg dbf gggggagggggggbbf bb ggggaggggggggggbbd bb gggaegggggggggggdbbd fbd ggeagggggggggggg dbbd bb ggaggggggggggggg dbbd dbf gagggggggggggggg dbb bb aegggggggggggggg dbb dbf ea dbb fbd ca dbb bb a dbb fbd ac fbb bb ea fbb dbf ea fbb bb cae fb bb aa fbd aac bb eae d caa aa eac cae aa eac cae aa eac cae aa aac eae caa aa eac ae ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#0504fdff b,#fe090aff c,#bebeffff d,#fcb7b9ff e,#3a37fbff f,#fb6265ff g,#7575ffff ``` ```image caa aag eae gaac caac aag eae gaac caac aag bd eae bbbd gaac fbbbbd caac fbbbbd caag fbbbbd eae fbbbbd gaa fbbbbd caac fbbbbdaag fbbaae eaabfd caafbbbfd caag fbbbfd eae fbbbfd gaa fbbbfd caac fbbbfd caag fbbbf eae dfbb gaa df caac caag eae gaa gaac caag eae eaa gaac ```  My investigation has led me to an intersection in area A! The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#0707ffff b,#fe0606ff c,#cdcdffff d,#feb5b6ff e,#4747ffff f,#ff5858ff g,#8b8bffff ``` ```image g ca a ag ea ca a ag ee ca a ag ee ca a ac ee ga a ac ee ga a ac ae ga a ac ae ga a ac ae ga ca ac ae fbd ga bb bbd ca dbd bbd ac bb bbd ag dbf bbd ga fb bbda bf abd fbd ag bbd bb ea bbd dbf ca bbd fb a dbbd bf ag dbbd fbd ea dbb bb ca dbb dbd a dbb bb ag dbb bf ea dbb fb ca dbb bb a dbb dbd ag dbb bb ea dbb dbf ea dbb fb gae db bf caa fbd aac bb gag caa aac eag cae aa eag gae aa eac gae caa aac gag caa aac eag ae ```

I'm curious to see if this image contains any intersection points. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#6573e2ff b,#fd0605ff c,#0a0bfcff d,#b1d7b1ff e,#ea493fff f,#d7927fff g,#f0f2eeff ``` ```image g fbg b bg gggggggggggggggggggggggggggggggggeeggbgggggggggggggggg gdddddddddddddddddddddddddddddddddbddddbdddddddddddddddg gddddddddddddddddddddddddddddddddbedddddbddddddddddddddg gddddddddddddddddddddddddddddddddbddddddfbdddddddddddddg gdddddddddddddddddddddddddddddddbfdddddddfbddddddddddddg gaaccc gdddddddddddddddddddddddddddddddbdddddddddfbdddddddddddg gaccccccag gddddddddddddddddddddddddddddddbfddddddddddfbddddddddddg gaccccccag gdddddddddddddddddddddddddddddfbddddddddddddebdddddddddaacccccad gdddddddddddddddddddddddddddddbddddddddddddddebdaacccccaag gddddddddddddddddddddddddddddfbddddddddddaaccccccadddddg gddddddddddddddddddddddddddddbddddddccccccaddddebddddddg gdddddddddddddddddddddddddddfbdddddcadddddddddddbbdddddg gdddddddddddddddddddddddddddbddddddcdddddddddddddbeddddg gddddddddddddddddddddddddddeedddddcaddddddddddddddbedddg gddddddddddddddddddddddddddbddddddcddddddddddddddddbeddg gdddddddddddddddddddddddddeedddddcadddddddddddddddddbedg gdddddddddddddddddddddddddbddddddcdddddddddddddddddddbfg gddddddddddddddddddddddddbfdddddcdddddddddddddddddddddbf gddddddddddddddddddddddddbdddddacddddddddddddddddddddddbf gdddddddddddddddddddddddbfdddddcdddddddddddddddddddddddgbg gdddddddddddddddddddddddbdddddacdddddddddddddddddddddddggbg gddddddddddddddddddddddbfdddddcddddddddddddddddddddddddg gbg gdddddddddddddddddddddfbdddddcaddddddddddddddddddddddddg gbg gdddddddddddddddddddddbddddddcdddddddddddddddddddddddddg gb gddddddddddddddddddddfbdddddcadddddddddddddddddddddddddg gb gddddddddddddddddddddbddddddcddddddddddddddddddddddddddg fb gdddddddddddddddddddebdddddcaddddddddddddddddddddddddddg fb gdddddddddddddddddddbddddddcdddddddddddddddddddddddddddg fb gddddddddddddddddddeedddddcddddddddddddddddddddddddddddg eb gddddddddddddddddddbdddddacddddddddddddddddddddddddddddg eb gdddddddddddddddddeedddddcdddddddddddddddddddddddddddddg eb gdddddddddddddddddbdddddacdddddddddddddddddddddddddddddg eb gddddddddddddddddbfdddddcddddddddddddddddddddddddddddddg be gddddddddddddddddbdddddacddddddddddddddddddddddddddddddg be gdddddddddddddddbfdddddcdddddddddddddddddddddddddddddddg be gddddddddddddddfbdddddcadddddddddddddddddddddddddddddddg bf gddddddddddddddbddddddcddddddddddddddddddddddddddddddddg bf gdddddddddddddfbdddddcaddddddddddddddddddddddddddddddddg bf gdddddddddddddbddddddcdddddddddddddddddddddddddddddddddg bf gddddddddddddfbdddddcddddddddddddddddddddddddddddddddddg bg gddddddddddddbdddddacddddddddddddddddddddddddddddddddddg gbg gdddddddddddeedddddcdddddddddddddddddddddddddddddddddddg gbg gdddddddddddbdddddacdddddddddddddddddddddddddddddddddddg gbg gddddddddddeedddddcddddddddddddddddddddddddddddddddddddg gb gddddddddddbdddddacddddddddddddddddddddddddddddddddddddg g gdddddddddbedddddcdddddddddddddddddddddddddddddddddddddg gdddddddddbdddddcadddddddddddddddddddddddddddddddddddddg gddddddddbfdddddcddddddddddddddddddddddddddddddddddddddg gddddddddbdddddcaddddddddddddddddddddddddddddddddddddddg gdddddddbfdddddcdddddddddddddddddddddddddddddddddddddddg gddddddfbdddddcadddddddddddddddddddddddddddddddddddddddg gddddddbddddddcddddddddddddddddddddddddddddddddddddddddg gdddddfbdddddcdddddddddddddddddddddddddddddddddddddddddg gdddddbdddddacdddddddddddddddddddddddddddddddddddddddddg gddddebdddddcddddddddddddddddddddddddddddddddddddddddddg gddddbdddddacddddddddddddddddddddddddddddddddddddddddddg gdddeedddddcdddddddddddddddddddddddddddddddddddddddddddg gdddbdddddaadddddddddddddddddddddddddddddddddddddddddddg gddeedddddcddddddddddddddddddddddddddddddddddddddddddddg gddbdddddcaddddddddddddddddddddddddddddddddddddddddddddg gdbfdddddcdddddddddddddddddddddddddddddddddddddddddddddg gdbdddddcadddddddddddddddddddddddddddddddddddddddddddddg gbfdddddcddddddddddddddddddddddddddddddddddddddddddddddg gbdddddcdddddddddddddddddddddddddddddddddddddddddddddddg bfddddacdddddddddddddddddddddddddddddddddddddddddddddddg gggggcgggggggggggggggggggggggggggggggggggggggggggggggg ac c ac c ca c ca gc cg gc cg ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#5b5afeff b,#fe0404ff c,#0807feff d,#acacfeff e,#fe3d3eff f,#ff8080ff g,#fec4c4ff ``` ```image gbb ebg ebf ee gbb be ebf bbe bbf gbbe fbb gbbe bbf gbbe fbe gbbf bbg gbb be fbf gbg fbf gbg fbbg eb fbbg daacc gbb ebbg daacccccccc ebf ddaaccccccccccadd gbb dddaaccccccccaadd ebf ddacccccccccaaddebg fbb dcccccccccaaadd ebg bbf cccccaad bbg bbf dc bbe fbe ca gbbe bbg dc gbbe be cc gbbe gbg acc gbb ee ccd gbe gbg aca gbf gbb aca fbbf ebf dccd fbb gbb aca fb ebf dcc f fbb cca bbf cc fbe cd bbg dc gbbg ac ebe cc bbg aca be dccd gbg aca ef dcc gb aca fbb cca bbf dcc fbb ccd bbf cc fbe cd bbg aa fbe cd gbbg ac bbg aca be dcc gbg cca ef dcc gb ccd eb dcc fbb ccd fbe ccd bbg aca fbe ccd gbbg ca fbe dc gbbg ca ebe dc bf dcc gb ccd ef acc fb ccd bb aca fbb dccd bbf aca fbe dcc fbe cc gbbg ca ebe dc gbbg cd ebe ac gbbg cc ebf aca bf aca fb dccd bf aca fb dcc bb cca fbe dcc bbg ccd fbe cc ebe ac gbbg cd ebf ac gbb dcc ebf aca bb dcc bf aca bf cca fb dcc bb ccd fbe acc gbbg ccd ebe aca gbbg ccd ebe ca ebf aa gbb dc ebf cc bb dcc bf ccd fb dcc bf ccd bb ccd fbe aca gbbg dccd ebe aca ```  The lines cross each other within area A, forming an intersection. One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#5757ffff b,#ff0606ff c,#0606ffff d,#aeaeffff e,#ff4848ff f,#ff8c8cff g,#ffceceff ``` ```image g fbg b bg ee bg b b ef gb b gb bf gb daccc b fb dacccccadd bg fb daacccccad gb fb dacccccad bg eb dacccccad fb dacccccad b cccccaad eb fb aa bb b c be ee cd be b c be ee cd bf b dc bf bf c bf b dc bg bf c bg gb ac bg bg c bg gb aa gb bg c gb fb ca gb b c fb fe cd fb b c fb ee cd eb b dc eb ef c eb b dc eb bf c be b aa be bg c be gb aa bf bg c bf gb cd bf b c bg fb cd bg b dc bg ee c bg b dc gb ee c gb b aa g bf c b aa bf c gb cd bg c gb cd bg dc fb c b dc fb c b ac ee c b aa ee c b ca bf c b cd bg c gb cd bg dc c dc c aa c aa c cd c cd dc c ```

I have an image in front of me. I need to determine if there are any intersection segments. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#fe0807ff b,#0d0efcff c,#f55551ff d,#8689f8ff e,#feacacff f,#b1d7b1ff g,#9cc496ff ``` ```image e ae a ae a a ea a ea a ea a cc a cc a ae a ae a ae ea a ea a ea a cc a cc a ae a ae a ae ea a ea a ea a cc a a ac cc eae a ca ce aa a ac ae eae a ca ae aa a ac a eae ea ca a aa d ea ac dbd a eae bb cc ca dbd a fggggggggggggggggggg aa bb ccgfffffffffffffffffff ae dbd agfffffffffffffffffff ea bb ccfffffffffffffffffff ca dbd afffffffffffffffffff ac bb acffffffffffffffffff ae dbd gaffffffffffffffffff ca bb gagfffffffffffffffff aa dbd ggafffffffffffffffffac bb gfagffffffffffffffgae dbd gfgafffffffffffffcag bb gffaffffffffffffaaff dbd gffcaffffffffffacfff bb gfffaffffffffgagffff fbd gfffcaffffffcaffffff bb gffffafffffaafffffff bbffffccfffacffffffff bbffffafgagfffffffff d ggbbffcaafffffffffff dddbbbbbbbbbbb gffbbffaffffffffffff dddbbbbbbbbbbbddd gfffgbbffffgddbbbbbbbbbbbddd gfffffbbbbbbbdddffff gfffffffffffffffffff fggggggggggggggggggg ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#ff0606ff b,#0404ffff c,#ff9494ff d,#4747ffff e,#f2d6e3ff f,#9898ffff g,#ff4c4cff ``` ```image e c a ac aa aac caa aac cag eaae gag eaae gag eg eaae eaa gag caaa eaae gaag gac egaac caa eaaac aac caage caa gaag aac egaac caa eaaae aac caage cag gaag eaae egaac gag caaae eaae caage d gag gaag bbf eaae eaaac dbbde gag caaae fbbbf eaaecaage edbbde gaaaac fbbbf caaac edbbde gge fbbbf eefff edbbde eeffffddddbbbbbbbb fbbbddddbbbbbbbbbbbbbbbbbbddd edbbbbbbbbbbddddffffee fffffee ```  The evidence suggests that this is not an intersection point in area A. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0707ffff c,#ff7b7bff d,#5d5dffff e,#ffbfbfff f,#adadffff g,#ff3c3cff ``` ```image e ac a ae a ae ea a ea a cg a cg a gc a gc a ae a ae ea a ea a cg a cg a gc a gc a ae a ae ea a ea a cg a cg g a ag gc eae a ca gc aa a ag ae eae a ca ae aa ea ac a eae ea ga a aa d ca ac dbf a eae bb cg ga dbf a ag bb gg ac dbf a cae bb gc ga fbf a ag bb ac eac fbf a ca bb ae ga fbd ea ag bb ae eae fbd ea ca bb a aa fbd ea ag bb a eae fbd cg ga bb a aa fbd cg ac bb a eae ff fbd gaa ffdddbbbbbbbbbd db g ffddbbbbbbbbbddff bd ffddbbbbbbbbbbddff dbbbbbddff ```

This image seems promising for intersection detection. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0909feff c,#5a5df6ff d,#fececeff e,#ff6a6aff f,#b3b3ffff g,#add2abff ``` ```image d deaaaaa deaaaaaed deaaaaaed deaaaaaed eeaaaaed deaaaaed deaaaaee daaaed ad da ad da ad da ad da ad da ad da ad da cb ad bb da cbf ad bb da fbf ad bb f da fbf bb ad bb fbc da fbc cbf ad bb bb ggggggggggggaggg fbc cbf gggggggggggagggg cb bb gggggggggggagggg bc fbcggggggggggaggggg cbf bbgggggggggaggggg bb gbcggggggagggggg cbf ggbbgggggagggggg bb ggggbbggaggggggg cbf gggggcbcaggggggg bb gggggggbbggggggg fbf gggggggacbcggggg bb ggggggagggbbgggg fbc ggggggagggggbcgg bb gggggagggggggbbg fbc gggggagggggggggbb bb ggggagggggggggggcbf bc ggggaggggggggggg bb cb gggagggggggggggg fbc bc gggagggggggggggg bb cbf ggaggggggggggggg fbbb da f ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefeffff a,#fe0001ff b,#0404feff c,#7f7cfbff d,#fed2d2ff e,#fe5455ff f,#c0c0ffff g,#3933f8ff ``` ```image daad eae daad eae daad eae daad eae daad gf eae bbc daad cbbbf eae fgbbg daad cbbbc eae fgbbgf daad cbbbc eae gbbgf daad fbbbc eae cbbbcaad fgbbge cbbbc eagbbgf daadcbbbc eae gbbgf daad fbbbc eae cbbbf daad fgbbg eae cbbbc daad fgbbg eae cbb daad g eae daad eae daad eae daad eae daad eae ```  Eureka! There's definitely an intersection in area A! The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0303ff b,#0303feff c,#7c7afdff d,#ffcfcfff e,#ff6a6aff f,#c3c3ffff g,#3434ffff ``` ```image d deaaaaa deaaaaaed deaaaaaed deaaaaaed eeaaaaed deaaaaed deaaaaee daaaed ad da ad da ad da ad da ad da ad da ad da cb ad bg da cbf ad bb da cbf ad bb f da fbc gb ad bb fbg da fbc gbf ad gb bg da fbc cbf ad gb bb da bg cbc ad gbf bb da bg fbg ad cbf gbf da bg bg ad cbf cbca bb bb cbc dacbc bb ad bb fbc da fbg gb ad gbf fbc da bg gb ad cbf fbg da bb gbf ad cbc bg da bb cbf ad fbbg da f ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad ```

I'm ready to tackle this image and find those intersections! I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0302fdff c,#f5514cff d,#585be8ff e,#f39d97ff f,#bfbfffff g,#afd6afff ``` ```image caaa caac ea eaaae ae eaaae a eaaae ea caac ae caac a caae ea eaaae ae eaaae a eaac ea ac ae a ea ae a ea ae a ca ae a ca ae a cc a a cc a a cc a a cc a a cc agggggggggggggggggggggg gaggggggggggggggggggggg gacgggggggggggggggggggg ggagggggggggggggggggggg fbd ggeaggggggggggggggggggg fb dbd gggacgggggggggggggggggg fb dbd ggggagggggggggggggggggg fb dbb ggggeaggggggggggggggggg fb fbbf gggggacgggggggggggggggg fb fbbf ggggggagggggggggggggggg fb bbd ggggggeaggggggggggggggg fb dbd gggggggacgggggggggggggg fb dbd ggggggggagggggggggggggg fb dbb ggggggggeaggggggggggggg fb fbbf gggggggggacgggggggggggg fb fbbdgggggggggagggggggggggg fb bbdgggggggeaggggggggggg fb ggbbdggggggacgggggggggg fb ggggdbbgggggagggggggggg fb ggggggdbbgggeaggggggggg fb ggggggggdbbggacgggggggg b gggggggggggbbdagggggggg b gggggggggggggbbdggggggg b gggggggggggggggbbdggggg bf ggggggggggggggggadbgggg bf ggggggggggggggggcaggggg bf gggggggggggggggggaegggg bf ggggggggggggggggggagggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ggggggggggggggggggggggg bf ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0b09fcff c,#f43b45ff d,#6363feff e,#fe8282ff f,#b0affdff g,#fec4c5ff ``` ```image aae eaa cac gaag eaa cac gaag eaa cac gaag eaa cac gaag eaa aae gaag eaa aae gaag eaa aae gaag eac aae gaag cac aae gaag cac aae gaag bf cac bbbf aae dbbbbd gaag fbbbbd cac fbbbbdf aae fdbbbdf eaag fdbbbbf cac dbbbbf aae dbbbbd eaag fbbbbd cac fbbbbdf gaae fdbbbdf eaag fdbbbbfcac dbbbbcae dbbbbcg fbbbbd fbbbbdf ecbbbbdf cacdbbb gaae df eaa cac gaae eaa cac gac g ```  I am surprised, so clear, an intersection has appeared in area A. I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0605feff c,#f9464bff d,#6969feff e,#ff9090ff f,#bebefeff g,#ffcfcfff ``` ```image g caaa gcaae ea gaaae ae eaaae a eaaag ea eaacg ae caac a gcaae ea gaaae ae eaaag a eaacg ea ac ae a ea ae a ea ag a ca ag a ca ag a cc ag a cc ag ga cc ag ga cc ag ga cc ag ga cc a fbd ga fb bbd ac fb dbb a fb dbb ga fb fbbf ac fb fbbf a fb bbd ga fb bbd ae fb dbb a fb dbb ea fb fbbf ae fb fbbf a fb bbd ea fb bbd ae fb dbb a fb dbb ea fb fbbf ae b fbbfa b bbc b bbd bf adb bf ea bf ae bf a bf g bf bf bf bf bf bf bf bf bf bf bf bf ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#e86a5fff b,#6470e5ff c,#fd0908ff d,#0809fcff e,#b1d7b2ff f,#a3cba1ff g,#ffb2b2ff ``` ```image g cg c cg c cg c cg c cg gc c gc c gc c gc c gc c ac c ac c aa c aa c aa c ca c ca c cg c cg c cg c cg c cg gc c gc c gc c gc c gc c ffffffffffffffffffffffffffffffffffffffffffffffff ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacc aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcccff c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaccaeeef aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaccaeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcccfeeeeeeeef cafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaccaeeeeeeeeeeef cfeeeeeeeeeeeeeeeeeeeeeeeeeeeeaccaeeeeeeeeeeeeeef caeeeeeeeeeeeeeeeeeeeeeeeeefcccfeeeeeeeeeeeeeeeef ceeeeeeeeeeeeeeeeeeeeeeeaccaeeeeeeeeeeeeeeeeeeef caeeeeeeeeeeeeeeeeeeeaccaeeeeeeeeeeeeeeeeeeeebdd fceeeeeeeeeeeeeeeefcccfeeeeeeeeeeeeeeeeeefddddff fcaeeeeeeeeeeeeeaccaeeeeeeeeeeeeeeeeeebdddbeeeef ffceeeeeeeeeeaccaeeeeeeeeeeeeeeeeebdddbfeeeeeeef fecfeeeeeefcccfeeeeeeeeeeeeeeefbdddbeeeeeeeeeeef fefceeeeaccaeeeeeeeeeeeeeeebdddbeeeeeeeeeeeeeeef feecfaccaeeeeeeeeeeeeeefddddfeeeeeeeeeeeeeeeeeef dddbb feefccfeeeeeeeeeeeeebdddbeeeeeeeeeeeeeeeeeeeeeef bbdddddbb feeeeeeeeeeeeeeebdddbeeeeeeeeeeeeeeeeeeeeeeeeeef bbdddddbb feeeeeeeeeeefbdddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbddddddbe feeeeeeeebdddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ebddddddbbeeefdddbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ebdddddbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ffffffffffffffffffffffffffffffffffffffffffffffff ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#ff4141ff b,#5152feff c,#ff0505ff d,#0505feff e,#a1a1feff f,#f4d2ddff g,#ff8a8aff ``` ```image fg gacc facccca fgccccagf gaccccgf faccccag fgccccagf gaccccgf faccccag fgccccagf gaccccgf g faccccag c fgccccagf cg gaccccgf cc faccccag ccg fgccccagf gcc gaccccgf ccg faccccag gcc fgccccagf e ccg gaccccgf febdd gca faccccag ebdddddd ccg fgccccagf febdddddbef gca gaccccgf ebddddddbe ccg faccccag ebbdddddbef gca fgccccagf febdddddbbe fccf gaccccgf ebddddddbe gca faccccag febdddddbef fccf fgccccagf ebddddddbe gca gaccccgf ebbdddddbef fccf faccccag febdddddbee aca fgccccagf ebddddddbe fccf gaccccgf eebdddddbef accccccag ebddddddbe fcccagf ebddddddbef ggf febdddddbee ebddddddbe eebdddddbef febddddddbe ebddddddbe febdddddbee ebddddddbe dbbeef eebdddddbef ddddddddbbbdddddbbe eeebbddddddddbe eeeef ```  My analysis shows that the lines in area A do not cross. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#ff5e5eff b,#5454ffff c,#ff0909ff d,#0505ffff e,#a7a7ffff f,#f8dce3ff g,#ffa4a4ff ``` ```image g cg c cg c cg fc cg fc cf fc cf fc cf gc c gc c gc c gc c aa c aa c aa c aa c ca c cg c cg c cg fc cg fc cf fc cf fc cf gc cf gc c gc c gc c ac c aa c aa c gcc aa fcccf c accg aa gcca c fcccf ca accg c gcca cg fcccf c accg cg gcca edd c fcccf ebddbe cg accg bddde fc gcca edddb cg fcccf fbddde fc accg edddb cfgcca ebddbf dddbe fccf bddde febdddddbef edddb febdddddbee fbddde ebdddddbbe eddde ebddddddbe ebddbf ebbdddde ```