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

This image might have some surprises. Let's look for intersections carefully. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#4349eaff b,#fd0605ff c,#8593e2ff d,#ec6158ff e,#b1d7b1ff f,#9ac596ff g,#0506fdff ``` ```image feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeegaaaeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeegceegeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeegceeecgeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeegceeeeegeeeeeeeeeeeeeeeeef bbe feeeeeeeeeeeeeeeeeeeeecgeeeeeeefgeeeeeeeeeeeeeeeef bbd feeeeeeeeeeeeeeeeeeeecgeeeeeeeeegceeeeeeeeeeeeeeef dbbfeeeeeeeeeeeeeeeeeeecgeeeeeeeeeeegeeeeeeeeeeeeeeef e bbdeeeeeeeeeeeeeeeeageeeeeeeeeeeegaeeeeeeeeeeeeeef dbbb fedbbfeeeeeeeeeeeeageeeeeeeeeeeeeegeeeeeeeeeeeeeef dbbbd feeefbbdeeeeeeeeeggeeeeeeeeeeeeeeeaaeeeeeeeeeeeeef dbbbd feeeeeedbbfeeeeeggeeeeeeeeeeeeeeeeegeeeeeeeeeeeeef edbbde feeeeeeeefbbdeegaeeeeeeeeeeeeeeeeeecgeeeeeeeeeeeef dbbbd feeeeeeeeeeedbgaeeeeeeeeeeeeeeeeeeeegeeeeeeeeeeeefdbbbd feeeeeeeeeeeegabbdeeeeeeeeeeeeeeeeeecgeeeeeeeedbbbd feeeeeeeeeeegceeedbbfeeeeeeeeeeeeeeeegceeefbbbbfef feeeeeeeeeegceeeeeefbbdeeeeeeeeeeeeeeegdbbbdeeeeef feeeeeeeefgfeeeeeeeeeedbbfeeeeeeeeedbbgaeeeeeeeeef feeeeeeecgeeeeeeeeeeeeeefbbdeeedbbbdfeegeeeeeeeeef feeeeeecgeeeeeeeeeeeeeeeeeedbbbbfeeeeeeaaeeeeeeeef feeeeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeeeef feeeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageeeeeeef feeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeeef feeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgeeeeeef feggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeeef fgaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeef gaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeef gaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeef gcfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeef g feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeef g feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageef cg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeef cg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgef a feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegff feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefgf efffffffffffffffffffffffffffffffffffffffffffffffgc g ac g aa g cg g g gc g gc g aa g cg g eg gc g gc g aa g cg g cg g g gc g aa g ca g cg g g gc g ac g aa g ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#4642faff b,#fe0606ff c,#c9c9ffff d,#fd5152ff e,#fea9a9ff f,#8886fcff g,#0505feff ``` ```image c cggc fggga fggaggc fggf fga fggf ggf aggf fgg aggf ggf aggc fgg aggc agf caggc cggc cgggc aga cggac cggc cgga aga cgga cggc fgga fgg de fgga ggf bbbe fggf fgg dbbbbde fggf agf edbbbbe aggf cggc edbbbbde aggf aga edbbbbe aggc cggc edbbbbde aggc aga edbbbbe cgggc cggc edbbbbde cgggc fga edbbbbe cgga ggf edbbbbde cgga fgg edbbbbefgga ggf edbbdgga cgg fggabbe aga eed fggfdbbbbde cggc edbbbb aggf edbbbbe aga edbbbbbbde aggf edbbbbde cggc eedbbbbbdde aggc edbbbbe fga edbbbbbbde aggc edbbbbde ggfdbbbbbbde caggc edbbbbe edaggbbbdee cgggc edbbbbde eedbbbbggae cgggc edbbbbe edbbbbbbdefgg cgga edbbbbde edbbbbbbde agf cgga edbbbbeeddbbbbbdee cggc fgga edbbbbbbbdde aga fgga edbde cggc fggf fga fggf ggf aggf fgg aggf ggf aggc fgg aggc agf cgggc cggc cgggc aga cggac cggc cgga aga cgga cggc fgga fgg fgga ggf ggf fgg gf agf f cggc aga cggc aga cggc fga ggf fgg ggf cgg aga cggc aga cggc ```  There is an intersection point visible in this close-up of area A. After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#3837feff b,#ff0505ff c,#bfbfffff d,#ff5d5dff e,#ffbdbdff f,#7774fbff g,#0403feff ``` ```image c gg gffa gf g gc cg gc gc bbe cg cg ebbd cg gc dbbe fg g e ebbd fg af edbbb dbbe ag g dbbbd ebbd ag fa ebbbd dbbe ga g edbbde ebbd ga fg dbbbe dbga g dbbbd gfbbd cg ebbbd gc dbbe gc edbbde gc ebbd gdbbbe cgc dbbe dbbgf cg ebbd ebbbde g cg dbbbbe aa fg g fg fa ag g ag cg ga gc ga g gf gf gf g gc af gc g cgc fa cg g fg cg a gc cg gc g af g fa g cg gc cg gc g af g fa g fg g cg gc g gf g aa g fa g cg gc g gf g af g fa g cg gc cg gc g af g fa g ```

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,#fd0908ff b,#0c0dfcff c,#ffaaaaff d,#b1d6b1ff e,#ee5c54ff f,#6e73ebff g,#9cc098ff ``` ```image c ae a ca ac a ee a ca ac a ee a ca ac a ea a a ae a ca ac a ee a ca ac c a ea ee ae a cac ca fb aa ac bfb cae a b fb ea ea bf bb aa ggaggggggggggbbgggggbbggggggggggggggggggd cac ddgaddddddddfbdddddddbfdddddddddddddddddg aa dddaeddddddgbdddddddddbfddddddddddddddddg ae ddddaddddddbdddddddddddbgdddddddddddddddg ea ddddeaddddbgddddddddddddbdddddddddddddddg aa dddddagddbfdddddddddddddgbddddddddddddddg cac ddddddadbbdddddddddddddddfbdddddddddddddgaa ddddddafbdddddddddddddddddfbddddddddddddae ddddddgbdddddddddddddddddddfbdddddddddeag ddddddbeadddddddddddddddddddbbdddddddaadg dddddbfdagdddddddddddddddddddbbddddgaeddg ddddbfdddaddddddddddddddddddddbfddaaddddg dddbbddddeaddddddddddddddddddddbfaadddddg ddfbddddddaddddddddddddddddddddebgddddddg dgbdddddddgaddddddddddddddddddaadbddddddg dbdddddddddaedddddddddddddddgaeddgbdddddg bfddddddddddaddddddddddddddeadddddgbddddg bbdddddddddddeaddddddddddddaadddddddfbdddg fbdddddddddddddagdddddddddeagdddddddddfbddg db dddddddddddddgaddddddddaaddddddddddddbbdg b ddddddddddddddaedddddgaeddddddddddddddbbg b gddddddddddddddaddddeagddddddddddddddddbf bf ea aa bf bb acac bd fb a b db b b db bd fb bf fb bb bb fb bb b bf b bf bd bd bf b fb b fb b b fb b fb bf fb bb bf bf bd b ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0606feff c,#fe999aff d,#9392fdff e,#fb4447ff f,#453ef8ff g,#e4d6f1ff ``` ```image aac gbbf gbbf caag bbf gbbf eae fbbg gbbf gaac dbbg dbbd caa dbbd dbbd aac gbbd dbbd caag gbbf fbbg eae fbf fbbg gaac fbbg fbbg caa dbbg fbfg eae dbbd gbbf caag gbbd gbbf eae gbbf gbbf aac fbf dbbd caagfbbg dbbd eafbbg dbbd e gebbd dbbg caa gbbf fbbg caae gbbfac fbbg geaae fbbcaag fbbg caaac fbbg eae gbbf eaaeg dbbd gaac gbbf caaac dbbd caa gbbf caaag gbbf aac dbbd geaae fbf caag dbbd caaac fbbg eae dbbdeaaeg dbbg gaac dbbeac dbbd caa cfbbd gbbd eae geaafbbg gbbf caag caaac fbbg fbf eae eaaeg gbbf fbbg aac geaac gbbf dbbg caag caaac gbbf dbbd eae eaae gbbd gbbd gaac caaac dbbd bbf eae caaeg dbbd bf aac geaae dbbd bg caag caaac fbbg g eae eaaeg fbbg gaac caaac fbbg caa caaag gfbf aac geaae gbbf caag caaac gbbf ```  The evidence is clear: this is an intersection in area A. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0808ffff c,#fe8586ff d,#aeacfdff e,#ff4040ff f,#5452fcff g,#ffc7c7ff ``` ```image g ec a ca ag a ee a ga ac a ee a ga ac a ca ag ga ec a ca ag a ee a ga ag g a ea ee ae a cag ga db aa ac bfb gac a b fb ea ce bd bb ae ag bf bf cag ga fb bf aa ac db bd gae a b bd eag ca bd b aa ag bf b gac a fb db ea efb db ae db fb cag bca fb aa bd ag bf gac bf a bf ea fb ee bdae db a cbd b ga aa b b ac gac b bd a ea db bf ce ae db fb ag cag fb db ga aa fb b ac gae bf bd a eag bf bd ca aa bd bf acac bd fb a b db b b db bd db bf fb fb fb db bf db bf b bd bd bd bf b fb b db db b db b fb bd fb bf bf bd bd b ```

Alright, let's get to work and investigate this image for intersections. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fe0504ff b,#535aefff c,#f3a39dff d,#a1a7f2ff e,#0708fdff f,#ec4c49ff g,#afd6afff ``` ```image d be eb ed e de be eb ed e e de be eb ed e de be eb ed e e de be eb ed e geggggggggggggggggggggggggggggg gbegggggggggggggggggggggggggggg ggeeggggggggggggggggggggggggggg bee gggebgggggggggggggggggggggggggg deeb ggggegggggggggggggggggggggggggg deeb gggggeggggggggggggggggggggggggg deee gggggdegggggggggggggggggggggggg eeed ggggggbeggggggggggggggggggggggg beed gggggggebgggggggggggggggggggggg beed ggggggggedggggggggggggggggggggg beeb gggggggggeggggggggggggggggggggg deeb ggggggggggegggggggggggggggggggbeeb ggggggggggbegggggggggggggggdeeed gggggggggggeeggggggggggggeeedgg ggggggggggffefaaggggggbeebggggg ggcfaaaaaaffgegcaggbeebgggggggg cffaaaaaffcgggggggggegbeebggggggggggg ccfaaaaafcc ggggggggggggggdebgafggggggggggg cfaaaaaafc gggggggggggggggggggafgggggggggg fc ggggggggggggggggggggaaggggggggg gggggggggggggggggggggfagggggggg ggggggggggggggggggggggfaggggggg gggggggggggggggggggggggcagggggg gggggggggggggggggggggggggacgggg ggggggggggggggggggggggggggafggg gggggggggggggggggggggggggggafgg ggggggggggggggggggggggggggggaag gggggggggggggggggggggggggggggfa ggggggggggggggggggggggggggggggfa gggggggggggggggggggggggggggggggca ggggggggggggggggggggggggggggggg ac ggggggggggggggggggggggggggggggg ac af aa fa fa ca ac ac af af fa fa ca ca ac af af aa fa ca ca a ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#5c5bfdff c,#fe8484ff d,#b5b5ffff e,#0908fdff f,#f03a48ff g,#fec9c9ff ``` ```image bee eeb deeb deed beed bee eeb eeb deed deed beed bee eeb deeb deed beed bee eeb eeb deeb deed beed bee eeb deeb deed db beed dbeee bee dbeeeeeb eee dbeeeebd eebggccc dbeeeebd ggccffeefaaaaf dbeeeebd ggccffaaaaaaaafeeffcaaf dbeeeeeb ggccffaaaaaaaaaaaffccggbeed gaaag dbeeeeebd faaaaaaaaaaaffccgg bee gaafbeeeeebd aaaaafcccg eeb beeeeebd cgg deeeeeeeefc deeebd caac dd caaf gaaf gaaag gaaag faag faac caac caaf caaf gaafg gaaag gfaag faac faac caaf caaf gaafg gaaa gfa f ```  My investigation has led me to an intersection in area A! I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#5454ffff c,#ff8585ff d,#acacfeff e,#0606feff f,#f93f45ff g,#ffcacaff ``` ```image d be eb ed e de be eb ed e e de be eb ed e de be eb ed e e de be eb ed e de be eb bee ed deeb e deeb e deee de eeed be beed eb beed ed beeb e deeb de deeb de deeed bb beed gcfefaa beed gcfaaaaaafcgedgag beeb gcfaaaaafcg e deeb gcfaaaaafcg deb ac cfaaaaafcg af fcg aa fa ca gag gag ac af aa fa ca ga gag ac af aa fa ca ca gag ac af af fa fa ca gag ac ac af aa fa ca gag a ```

I'm optimistic that I'll find some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#0808fdff b,#fe0504ff c,#8184f9ff d,#eb6663ff e,#4851edff f,#eceff1ff g,#afd5afff ``` ```image fffffffffffffffff fgggggggggggggggggf f fgggggggggggggggggf ac fgggggggggggggggggf fa fgggggggggggggggggf af fgggggggggggggggggf fa fgggggggggggggggdbf af fggggggggggggggbbgf ca fgggggggggggggbdggf a fggggggggggggbdggaf ce fggggggggggdbgggaef a fgggggggggbbggggagf ec fggggggggbbggggaggf a fgggggggbdggggeaggf ac fgggggdbggggggagggf fa fggggdbggggggaegggf af fgggbbgggggggaggggf fa fggbdgggggggagggggf af fdbggggggggeagggggf ca dbgggggggggaggggggf a bbgggggggggaeggggggf ce bdfgggggggggagggggggf a fbg fggggggggaggggggggf ec dbf fgggggggeaggggggggf a bb fgggggggagggggggggf ac bd fggggggaegggggggggf fa fbd ffffffaffffffffff af dbf af fffafffffffffffffff db ca fgggagggggggggggggggf bb a fgggcaggggggggggggggf fbd ac fggggaggggggggggggggf gbf fa fggggeegggggggggggggf db af fgggggagggggggggggggf bb ca fgggggeeggggggggggggf bd a fggggggaggggggggggggf fbf ac fggggggacgggggggggggf db fa fgggggggagggggggggggf bb af fgggggggagggggggggggf bd ca fggggggggaggggggggggf fbd a fggggggggaggggggggggf dbf ac bbbbbbbbbbbbbbbbbdabbbbbbbbbbbbbbbbbb fa fgggggggggagggggggggf af fgggggggggeeggggggggf ca fggggggggggaggggggggf a fggggggggggeegggggggf ac fgggggggggggagggggggf fa fgggggggggggacggggggf af fggggggggggggaggggggf ca fggggggggggggaggggggf a fggggggggggggcagggggf ac fgggggggggggggagggggf fa fgggggggggggggcaggggf af fggggggggggggggaggggf ca ffffffffffffffeefff a a ac ec fa a af ac ca fa a af ac fa fa a af ca ca a a ee ac a fa ec af a ca ac a fa ac af fa fa af a ca ca a a ac ee fa a af ec ca a a aac fa ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefeffff a,#3a3affff b,#fe0000ff c,#7e7cfdff d,#f92f34ff e,#0404feff f,#c1c1ffff g,#feb6b7ff ``` ```image aec fee aec cee eef cea eef cea feef aec fee aec fee aec cee eef cea eef cea feef aec fee aec fee ddddddddddddddddddeedddddddddddddddddd bbbbbbbbbbbbbbbbbbdeebbbbbbbbbbbbbbbbb gggggggggggggggggggeecgggggggggggggggg cea eef cea feef aec fee aec fee aec cea eef cea eef cea feef aec fee aec fee aec cea eef cea ```  Area A contains an intersection. Right then, let's explore the next spot. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#0808ffff b,#ff0404ff c,#5353ffff d,#ff3c3cff e,#ff8181ff f,#adadffff g,#ffc4c4ff ``` ```image e eb dbb gdbbg gbbdg ebbd dbbe gdbbe c gbbbg fa ebbd aa dbbe faa dbbe aaf gbbbg cac ebbdg faaf ebbd aac dbbe faa gbbbg aaf gbbdg cac ebbd faaf dbbe aac gdbbg faa gbbbg aaf ebbd cac dbbe faaf gdbbe aac gbbbg faa ebbd aaf ebbd cac bbe faaf bg aac g faa aaf cac faaf aac faa aaf cac faaf ```  It's a shame, but area B doesn't contain an intersection. My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#2626ffff b,#ff0404ff c,#7d7dffff d,#f84f55ff e,#0101feff f,#d3d3ffff g,#ffafafff ``` ```image f ac e ef g fe db e bb ca bd e bg e ca gb ac e db fe ac bd ef e bg ca ac gbg e e db ac ef bb fe fe bd ef e gbg ca ca db e e bb ac ca bd fe e gbg ef ac db ca e bb e ac bd ac e bg fe ef gb ef fe db ca e bb e ca bd ac e gbg fe ca db ef e bb ca ac bd e e gbg ac ac db fe e bb ef ef bd ca fe bg e e gb ac bbbbbbbbbbbbbbbbbdebbbbbbbbbbbbbbbbbb fe e ef ca ca e e ac ac e fe ef ef fe ca ef e fe ac e fe ca ef e ca ca e e ac ac fe e ef ef ca fe e ef ac fe fe e ef ca ca e e cc ac e fe ac ef e ca ef e fe ac ef fe fe ef e ca ca e e ac cc fe e ef ac ca e e eec fe ```

I'm examining this image closely. My goal: find any and all intersections. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff3535ff b,#4848ffff c,#ffbfbfff d,#9f9fffff e,#ff0303ff f,#0505ffff g,#ff7777ff ``` ```image ddd dddddbbbbbfffffffffffffffffffffffffbffb bbbbbdddddd bffd dffb bffd ffb dffd ffb dffd ffb dffd ffb dffd bfb dffd bff dffd bff df g eea ge ae ce cec e eg eg ee aa ge ce cec e eg ec ee aa ge ce cec e ea ec ae aa ge ge cec e ea ec ae eg ge ge ceg ce ea e ae eg gec aa eg ce ea e ae ec cec aa eg ce ea e ae ec cec aa eg ge ee e ge ec cec eg e ge ce e eg aa ce e ec aa ce e ec ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#454af0ff b,#fd0606ff c,#0606fdff d,#feb4b3ff e,#9b9ff7ff f,#f25d57ff g,#acd4acff ``` ```image d dbbf b fbbd db dbbf b fbbd b dbbf bd fbb b dbbf ggggggggggggggcgg ff fbb gggggggggggggcagg b dbbf ggggggggggggacggg ff fbb ggggggggggggcgggg b dbbd gggggggggggcegggg db fbbgggggggggacggggg b fbbfggggggcgggggg db gggbbbgggcegggggg bd gggggfbbacggggggg b ggggggggcbbgggggg bd gggggggcggfbbfggg b ggggggacgggggbbgg ff ggggggcgggggggggg b gggggcggggggggggg ff ggggaaggggggggggg b ggggcgggggggggggg db gggcggggggggggggg b ggcaggggggggggggg db ggcgggggggggggggg e bd c aa b ca ce bd ec c b c c ff ce ec b ec ac ff c ca b ce ce db ec c b c ec db ce acgggggggggbgggg ac gcaggggggggbgggg c ggceggggggbfgggg ce gggcggggggbggggg aa ggggcggggffggggg c ggggacgggbgggggg c gggggcagffgggggg aa ggggggcabggggggg c gggggggcbggggggg c gggggggbcggggggg aa gggggggbecgggggg ec ggggggbggacggggg c ggggggbgggcagggg ca gggggbfggggcgggg ec gggggbggggggcggg c ggggffggggggecgg ce ggggbggggggggacg ec gggffgggggggggca c b ce ce db c ec b ec c db ec ce bd ca ec b ce c bd c ce b c ac ff ec c b aa ce ff ce aa b c c db c c b ec aa db ac c bd cc b e bd b ff b ff b db b ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#5656ffff b,#fe0304ff c,#0907fdff d,#fb8487ff e,#b0b0ffff f,#fa4246ff g,#ffcdcdff ``` ```image ecce fbf acce gbbg acc dbf cca bbg ecca dbf ecce bbd acce dbb acc fbd cca gbb ecca fbd ecce gbbg ecce fbf acc gbbg cca dbf cca bbg eccedbf eccfbd accf ccc gbcca fbdcca gbbgecce fbf acce gbbg acc dbf cca bbg ecca dbf ecce bbd acce dbb acc fbd cca gbb cca fbd ecce gbbg ecce fbf acc gbbg aca dbf cc ```  The lines cross each other within area A, forming an intersection. Next up, a closer look at another region. This is a magnified view of the region B.  ```palette Key,Color ,#fefefeff a,#443ef8ff b,#fd0c0dff c,#0505feff d,#fc7174ff e,#9191ffff f,#fec0c0ff g,#d7d6feff ``` ```image gce aca eccg gcce aca eccg gcce aca eccg gcce f aca bbd eccg bbbbdf gcce dbbbbbd aca fdbbbbdf ecc dbbbbbd gccg fdbbbbdf cca dbbbbbacc fdbbccdf gccabbbf acafdbbbbdf eccg dbbbbbf gcce fdbbbbdf aca dbbbb eccg fdd gcce aca eccg gcce aca eccg gcce aca eccg gcce aca ```  Incredible, there's actually an intersection in area B! There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#4645fdff b,#fe0505ff c,#0606ffff d,#ff8d8dff e,#9898ffff f,#fd4244ff g,#e8d4eaff ``` ```image g dbbf b fbbg gb gbbd bg fbbg gb dbbd bd fbbg b dbbd c fd fbbg ce b dbbd ec ff fbbg c b dbbd ce db fbf ec b dbbd c gb fbf ce bg dbbac gb gcbf bd cg dbbd b aa gbb fd gc b cg ff aa b gc db cg b aa gb gc e bg c aa b ca ce bd ec cg b c c fd ce ec b ec ac df c ca b ce cg db ec c b c gc gb ce ac bg ac ca b c ce bd cg cg b aa gc fd gc ec b cg aa df aa ceb gc cf cg bc aa gbec gc bg ac c b ce ca bd cg ec b c c fd ec ce b ac ec df ca c b ce ce db c ec b gc c gb ec ce bg ca ec b ce c bd cg ce b gc ac fd ec c b aa cg df ce aa b cg gc db c cg b ec aa gb acgc bg ccg b e bd b fd b df b db b ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#6b78e2ff b,#fb0c0bff c,#0c0dfbff d,#e46b5eff e,#b1d7b1ff f,#9ac596ff g,#eff4f0ff ``` ```image a cc ca ca g cg gfffffffffffffffffffffffffffffffffffffffffffffffffffffffffbg gcg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbfg gc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeg ac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeg ac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeg cc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeg ca geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeg ca geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeg cg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeg gcg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeg gc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeg ac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeg ac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeg cc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeg ca geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeg ca geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeeeeeeeeeeeg cg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbfeeeeeeeeeeeeeeeeg gc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeeeeeeeeeeeeeeeg gc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeg acgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeeg aceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeeeg cceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeeeeg gcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeg gecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeg geeceeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeg geeeceeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeaceeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeaccg geeeeaceeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeaccccfeg geeeeecceeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeeefccccaeeeeeg geeeeeecceeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeacccaeeeeeeeeeg geeeeeeecaeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeacccaeeeeeeeeeeeeeg geeeeeeeecaeeeeeeeeeeeeeebfeeeeeeeeeeacccaeeeeeeeeeeeeeeeeeg geeeeeeeeeceeeeeeeeeeeefbfeeeeeeeaccccfeeeeeeeeeeeeeeeeeeeeg geeeeeeeeefceeeeeeeeeefbeeeeefccccaeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeaceeeeeeeefbeeeacccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeaceeeeeedbacccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeecceeeacccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeecccccbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeaedbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gfbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg db geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb gffffffffffffffffffffffffffffffffffffffffffffffffffffffffffg bd bd bd bd bd bd ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#4f4fffff b,#fe0707ff c,#0606feff d,#fe9f9fff e,#a2a2feff f,#fb494dff g,#f2dae7ff ``` ```image gb bb dbf dbb dbbf bbf fbd fbb fbbd fbbd bbd gfbg gbbb bbbg gbfg dbb dbbf bbf dbf dbb fbbd bbd fbd fbd fbbg gbbg gbbg gbbg dbbf bbf dbf dbf g dbbd c bbd ca fbd cc fbd eca fbb cce gbbg accg gbbg acc gbbg ac gbbb gca gbfg e cce dbf gecc ecce dbb gaccccc ecce dbbf eacccccag acg bbf eaccccaae ca fbd eacccccag gca fbd geaccccceg cca fbb eaccccaeg ecce fbbd eaccccaee ace gfbg geaccccceg acg gfbg gecccccaeg ccg gbbb acccccae cca bbbg eeaccccae ecc gbfg gacccccaeg ece dbb eacccccae ece dbbf eaaccccee cce bbfeccccaae acc geacccccag gcc eaccccceg gcccccccfbd eccaafbbd fbd fbd gfbb bbbg gbbg gbbg gbbf bbf dbf dbb dbbf bbf dbf dbb dbbd bbd fbd fbd fbbd fbbd bbd fbd gfbb fbbg gbbg gbbg bb fg g ```  Aha! I've found an intersection inside area A! My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#5757feff b,#fe0607ff c,#0908feff d,#ff8383ff e,#adadffff f,#ff3f3fff g,#ffc5c5ff ``` ```image e ac ca ce ce gb c gb ec gb ec db ac db cc fb ca fb ce fb ce bb c bf ec bf ec bd ac bd ca bd ca bg ce bg c gbg c gb ec gb ec db ac db ca fb ca fb ce fb c bb c bf ec bf ecc ac bf ecccae ac bd eaccce ca bd accce ce bg accca ce bg eccca c gbg ecccae c gb eaccce ec gb accce ac dbaccca ac eccca cccccb e fb fb fb bf bf bf bf bf bd bd bd bd bg bg bg bg gbg gb gb gb gb db db db db fb fb fb fb bb bf bf bf bf bf bd bd bd ```

Here's an image. My task is to find intersections or areas where lines come close together. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#e5584bff b,#6c74eeff c,#e4a497ff d,#0a0cfcff e,#b1d7b1ff f,#95c898ff g,#fd0706ff ``` ```image e bddd bddd bddd bddd bddd bddd bddd bddb bddb bddb bddb bddb bddb bddb bdb d de dd c efffffffffffffffffffffffffbdfaggggaffffff feeeeeeeeeeeeeeeeeeeeeeeeedeegeeecagggace feeeeeeeeeeeeeeeeeeeeeeeedbegaeeeeeeeeaggggc feeeeeeeeeeeeeeeeeeeeeeebdecgeeeeeeeeeeee cagggac feeeeeeeeeeeeeeeeeeeeeefdeegeeeeeeeeeeeee cggggc feeeeeeeeeeeeeeeeeeeeeedeeageeeeeeeeeeeee cagggac feeeeeeeeeeeeeeeeeeeeedbeegeeeeeeeeeeeeee cggggc feeeeeeeeeeeeeeeeeeeebdeegaeeeeeeeeeeeeee caggga feeeeeeeeeeeeeeeeeeeedeeegeeeeeeeeeeeeeee cggggc feeeeeeeeeeeeeeeeeeedfeegceeeeeeeeeeeeeee caggg feeeeeeeeeeeeeeeeeedbeeageeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeebdeeegeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeedeeeaaeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeedfeeegeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeddeeegceeeeeeeeeeeeeeeeee feeeeeeeeeeeeeebdeeecgeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeedeeeegeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeedbeeeaaeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeddeeeegeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeefdeeeegaeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeedeeeecgeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeedbeeeegeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeebdeeeeageeeeeeeeeeeeeeeeeeeeeee feeeeeeeeedeeeeegeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeedfeeeegaeeeeeeeeeeeeeeeeeeeeeeee feeeeeeedbeeeeegeeeeeeeeeeeeeeeeeeeeeeeee feeeeeebdeeeeegceeeeeeeeeeeeeeeeeeeeeeeee feeeeeedeeeeeageeeeeeeeeeeeeeeeeeeeeeeeee feeeeedfeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeddeeeeegaeeeeeeeeeeeeeeeeeeeeeeeeeee feeebdeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeee feeedeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeee feedbeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeee feddeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ffdeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fdeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bdeeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dfeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d feeeeeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee db feeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bd feeeegaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d feeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d feeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee db feeageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fegaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fgceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aaffffffffffffffffffffffffffffffffffffffff g gc cg g aa g gc g g ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#ff4040ff b,#5d5dffff c,#ffc4c4ff d,#0909feff e,#b4b4ffff f,#ff8282ff g,#ff0505ff ``` ```image bdd gggaffc edde aggggggggafc ddb cggc cfaggggggaffc bdd aga cfagggggggafc edde fgg cfagggggga edde ggf cfaggg ddb fga c bdd cggc edde aga eddb cggc ddb ggf bdd fgg edde cggc ddb aga bdb cggc bdd agf edde fgg ddb ggf bdd aga bdde cggc edde agf ddb fgg bdd ggf edde fga edde cggc ddb aga bdd cgg edde ggf ddb fgg ddb cggc bdd aga edde cggc ddb agf bdd fgg bdd ggf edde aga ddb cggc bdd agf edde fgg edde ggf ddb fga bdd cggc edde aga eddb fgg ddb ggf bdd fga edde cggc ddb aga bdb cggc bdd ggf edde fgg ddb cggc bdd aga bdde cggc edde agf ddb fgg bdd ggf edde fga edde cggc ddb aga bdd fgg edde ggf ddb fga bdb cggc bdd aga edde cggc ddb ggf bdd fgg bdde cggc edde aga ddb cggc bdd agf edde fgg edde ggf ddb aga dd cggc de aga b fgg ggf fga cggc aga cggc ggf fgg cggc aga cggc agf fgg ggf aga cggc agf fgg ggf fga cggc aga cgg ggf fgg ggc ```  Area A doesn't meet the criteria for an intersection. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff4b4bff b,#5555ffff c,#ffc7c7ff d,#0606ffff e,#aaaaffff f,#ff8989ff g,#ff0606ff ``` ```image e eddd eddde eddde eddd eddb eddb eddb eddb eddb bddb bddb bddb bddb bddb edb d de bb c ed aggggf d g cagggac de gf fggggf bd cg cagggac ed gc fggggf d fg cagggac db g fggggf bd gf cagggac d g fggggf d gc caggg db fg ed g d aa de g bb gc ed cg d g de aa bd g ed gf d cg de g bd fg d g d gf db cg ed gc d fg de g db aa ed g d gc de cg bb g ed aa d g de gf bd cg d g d fa db g bd gf d cg de gc db fg e g aa g gc fg g aa g gf cg g aa g gf cg gc ```

The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#4344f4ff b,#fd0a09ff c,#ef6f67ff d,#a4a6f9ff e,#0808fdff f,#97c797ff g,#b2d7b1ff ``` ```image d ae ae ee ea ea ea ea ea ea ed ed ed ed ed ed e efffffffffffffffffffffffffffg feggggggggggggggggggggggggggf gfegggggggggggggggggggggggggf ggfeggggggggggggggggggggggggf gggfegggggggggggggggggggggggf ggggdeggggggggggggggggggggggf gggggdegggggggggggggggggggggf ggggggdeggggggggggggggggggggf gggggggaegggggggggfccgggggggf ggggggggaegggccbbbbcbbggggggf ggggggggcaebbbcggggggcbgggggf gggcbbbbbcaeggggggggggcbggggf cbbbbccggggggaeggggggggggfbfggf cbbbbcgggggggggggggaegggggggggggbcgf gcbbbbc gggggggggggggaegggggggggggbbf bbbbc ggggggggggggggeegggggggggggbb gggggggggggggggeegggggggggggbb ggggggggggggggggeaggggggggggfcb gggggggggggggggggeagggggggggf b ggggggggggggggggggeaggggggggf bc gggggggggggggggggggeagggggggf bc ffffffffffffffffffffeaffffffg bb ea bb ea cb ee gb ae bg ae bc ae bb ae bb ae cb de gb de bg de bc de bb de bb de cb e cb ed b ed bc ed bc ed bb ed cb ed cb ea gb ea bc ea bc ea b ea ee ae ae ae ae ae de de de de de e e ed e ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#3f3af9ff b,#fd0708ff c,#fc6062ff d,#8886fdff e,#0606feff f,#cecfffff g,#feb3b3ff ``` ```image eef aeef aeef faeaf feea feea feea feea feea feea feea feea feea feed deed deed deed deed ggccc deed ggcbbbbbbbbg deed gccbbbbbbbbccgbbbg deedgccbbbbbbbbccg cbbg ggcaeebbbbbbccg cbbc ggccbbbbbaeecgg cbbc ggcbbbbbbbbccggaeef gbbc gccbbbbbbbbccgg aeef gbbb bbbbbbbccg aeef gbbbg bbccg aeef bbbg aeef cbbc aeef cbbc aeef gbbc aeef gbb aeef gb aeaf feea feea feea feea feea feea feea feea feea feea ```  There's no doubt about it - this is an intersection in area A. After careful examination, I conclude that there is one intersection.

1

```palette Key,Color ,#fefefeff a,#3f3dfcff b,#ff0808ff c,#ff6363ff d,#8a8affff e,#0707feff f,#cacaffff g,#ffbcbcff ``` ```image d ae ae aa ea ea ea ea ea ed ed ed ed ef ef ef ef ef e fe fe fe fe fe de de gcc de gcbbbbcbb gaebbbc cb cbbbbcgae gb cbbbbcg ae gbg gcbbbbcg ae bc gcbbbbcg ae bc bbbbc ae bb ea cb ea cb ea gbg ea bg ea bc ea bb ea cb ea cb ee gbg ae bg ae bc ae bb ae bb de cb de gb de gbg de bc fe bc fe bb fe cb fef gb ef gbg ef bc ef bc ed bb ed cb ed cb ed gbg ea bg ea bc ea b ea ee ae ae ae ae de de de de fe fe fef fef ef e ```

I have a feeling there might be some intersections in this image. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#5959ffff b,#ff0505ff c,#0707ffff d,#ff8383ff e,#b3b3ffff f,#ffc9c9ff g,#ff4242ff ``` ```image ffff fffddddgggbbbbbbbbbbbbbbbbbbbgbg bbbbbbbbgggddddfff gb fbf bg gb fbd bb gb fbd bb dbf fbd bb dbf bg bb dbf bg gb fbf bg gb fbd bg gb fbd bb gbf fbd bb dbf bg b e ec ac cc ca ce ece ec ac cc ca ca ece ec ac cc ca ca ce ec ac cc ca ca ce ec e ac ccce cc eccce cc acca ca acca ce acca ec eccce ac eccce ac eccce cc eacca ca acca ce acca ece acc ```

I'm examining this image closely. My goal: find any and all intersections. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0607fdff c,#fdb2b1ff d,#9ba1f3ff e,#f75855ff f,#4f4de9ff g,#aed5adff ``` ```image cae a aa ca ea a ea a cac ac ac a ae ee aa a ea ee ca a ac ca ae a aa ca ea ac ea a cac ac ac a ae ee aa a ea ee ca a ac ca ae ggggggggggggggbg a aagggggggggggggfbg ca eagggggggggggdbgg ac eaggggggggggbggg a ggaggggggggbgggg ac gggaegggggbfgggg a ggggaegggbbggggg ee gggggaagfbgggggg a ggggggeabggggggg ee gggggggbaggggggg a ggggggbdgacggggg ca gggggbfgggaegggg a ggggfbgggggaaggg ca gggdbgggggggaagg ac gggbgggggggggeag a ggbdgggggggggggg ac gbfggggggggggggg a fbgggggggggggggg ee dbggggggggggggggg a b ee b a bd ca fb a db ca b ac b a bd ac bf a fb ee db a b ee bd a bf ca fb a db ca b ac b a bd ac fb a db ee b a b ee bd a bf ca fb a db ca b gggggggagggggg bd gggggggagggggg bf ggggggaegggggg fb ggggggaggggggg db gggggeeggggggg b gggggagggggggg bd ggggeagggggggg bd ggggaggggggggg ddddffbbbbbbbbbbbbbf gggffffbbbbbbbbbbbbbbfffddd gggfffddgggggg gggggggggggggg gggggggggggggg gggggggggggggg ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#ff0808ff b,#0505ffff c,#fdaeafff d,#b3b3feff e,#ff6262ff f,#5953f9ff g,#6c0394ff ``` ```image eae aac eae aac caa aac caa aae caa eae caa eae aac eae aac caa aac dddddd fggfffffbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbfff cggffdddddd ee ```  The lines cross each other within area A, forming an intersection. Next up, a closer look at another region. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#fd0708ff b,#0706fdff c,#fcafb2ff d,#c6c6ffff e,#fe5657ff f,#4444ffff g,#8686ffff ``` ```image dbg fbf fbb ac gbbd aac dbbg eaae dbbg eaae bbf caae fbb caaac gbbd aaac gbbd eaac dbbg eaae bbf caae fbf caaa fbbd caaac gbbd eaacdbbg eaabbf ebbb fbbae gbbcaaac dbbg aaac dbbg eaac bbf eaae fbb caae gbbd caaa gbbd caaac dbbg eaac bbf eaae fbf eaae fbbd cae gbbd c dbbg dbbf fbf fbb gbbd ```  My analysis confirms the presence of an intersection in area B. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#fe0506ff b,#0807fdff c,#ffc6c6ff d,#b0b0ffff e,#ff3d3dff f,#5b56f9ff g,#ff8080ff ``` ```image c gag a ae ca ea ac ga a cac ac ag a ae eg aa a ea ge ga a cac ge ag a ae ca ea ac ga a cac ac ag a ae eg aa a ea ge ga a cac ga ag b a ae fb ca ea db ac ga b a cac bd ac ag bf a ae fb eg aa db a eab ge ba a bdcac ga bf ag a fb ae ca db ea ac b ga a bd c ac bf a fb eg db a b ge bd a bf ga fb a db ca b ac b a bd ag bf a fb eg db a b ge bd a bf ga fb a db ca b ac bd a bf ag fb a db eg b a b ge bd a bf ca fb a db ca b ac bd a bf ag fb a db eg b a bd ge bf a dddfffbbbbbbbbbbbbbf ffffbbbbbbbbbbbbbbfffddd bfddd ```

I'm ready to tackle this image and find those intersections! I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#f3655fff b,#0404fdff c,#a6aaf7ff d,#add4adff e,#fe0a09ff f,#3f40f7ff g,#feb6b6ff ``` ```image g ee ee ea geg ae ee ea geg ae ee b ee cb ea fb geg bf ae bc ee b ea cb geg ff ae bc ee b ea b eg cb ge bf ae bc ee b b ea cbc cb geg fb fb ae bf bc ee cbc b ea fb b eg bf cb ge cbc ff ae fb bc ee bf b ea cbc cbddddddddddddddddgeg fb fbddddddddddddddae bf bfddddddddddddde cbc dbcddddddddddded fb ddbddddddddddead bf ddcbddddddddeedd cbc dddfbddddddaeddd fb ddddbfdddddedddd bf dddddbddddeddddd cbc ddddddbddedddddd fb ddddddfbeadddddd bf dddddddbfddddddd cbc ddddddaebcdddddd fb ddddddeddbdddddd bf dddddedddcbddddd cbc ddddedddddfbdddd fb dddeaddddddbfddd bf ddeeddddddddbddd cbc daeddddddddddbdd fb dedddddddddddcbd bf edddddddddddddfb cbc eaddddddddddddddbbb eaddddddddddddddddf ae dddddddddddddddd ge e e eg ea ae ge e eg ea ea ae ge e eg ea ee ae ge e eg ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#ff5353ff b,#0605feff c,#9392fdff d,#fca1a3ff e,#fe0708ff f,#4341fcff g,#e6d7efff ``` ```image c bc bbg d fbf ge gbbf gee gbbc aee cbbg aeeg fbbg deed fbf deed gbbc geea cbbc eea cbbg aee fbf aeeg gbbf deed gbbc deed cbbc geea fbbg eea fbf aeeg gbbf aeeg gbbc deed cbbdeed fbbea gbbf aebbc aeecbbc deed cbbg geea fbf geea gbbf aee gbbc aeeg cbbg deed fbbg deed fbf geea gbbf geea cbbc aee cbbg aeeg fbbg deed bbf deed gbbc geea cbbc eea cbbg aee fbf eeg gbb ed gb d c ```  The close-up clearly shows an intersection point in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#ff3d3dff b,#0303feff c,#adadffff d,#ff8383ff e,#ff0505ff f,#4140fdff g,#ffc7c7ff ``` ```image d ae ea ed geg ae ee ea geg de ae b ea cb ed fb geg bf ae bc ee b ea cb geg ff de bc ae b ea b ed fb deg bf ae bc ee b b ed cbc cb geg fb fb de bf bc ee cbc b ea fb b ged bf cb deg cbc ff ae fb bc ea bf b ed cbc cb geg fb fb ge bf bf e cbc bc eg fb b ed bf cb ea cbc ff de fb bc ge bf b e cbc b eg fb cbed bf bf cbc debc fb ge b bf e cb cbc eg fb fb ed bf bf aa bc cbc de b fb ge cb bf e ff cbc eg bbb ea f ae de ge eg ed ea ae ge e eg ed aa de ge e eg ed aa de ge e eg ```

I'm curious to see if this image contains any intersection points. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#4b4bffff b,#fc0a09ff c,#9fa1f9ff d,#f66461ff e,#0606feff f,#acd4adff g,#ffc1c1ff ``` ```image cea e ae ce cec e ea ce ae e cec ce ee e ae ce ea e ee e ce ec ea e ee ec cec e ea ec ae e cec ec ea e ae ec cec e ee ac ae e ec aa ee e ae aa ea e ee aa cec e ea ca ee e cec ce ea e a ce e ce e ce e ce e e ec e d ec bdbb e bg gbbg ec bg gbbd e bg dbb ec bg dbbg e bg gbbd ac gbg bbd e gb dbbg aa gb gbbg e gb bbd aa gb dbb e gb gbbg aa gb gbbd e gb dbb aa db dbbg e db gbbd ca db bbd e db dbbg ce db gbb e db fffffceffffffffbb fffffeffffffffbb ffffcefffffffbbf ffffefffffffbbff fffceffffffbbfff fffeffffffbbffff fffefffffbbfffff ffefffffbbffffff ffeffffbdfffffff fecfffbdffffffff fffffbdfffffffff ffffbdffffffffff fffbdfffffffffff ffbdffffffffffff fbdfffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffff ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#5a5affff b,#ff0404ff c,#ff3131ff d,#ff7f7fff e,#0606ffff f,#c2c2ffff g,#ffcacaff ``` ```image eef fee eea c fee cb eea cbb fee cbbg aea cbbg fee gcbcg aea gcbcg fee gcbcg aea gbbc feef gbbc aea gbbc feef gbbc aea gbbc feef gbbc aea gbbc feef gbbc aea gbbc eef gbbc fea gbbd dbbd dbbd dbbd dbbd dbbd dbbd dbbd dbbd gbbd dd ```  There is no intersection present within area A. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#4040ffff b,#ff0a0aff c,#8989ffff d,#ff6464ff e,#0505ffff f,#cdcdffff g,#ffb9b9ff ``` ```image f cea e ae ce fec e ea ce ae e fec fe ee ef aef fe fec ef ee fe cef ef ea fe ee ef cef e ea ec ae e cef ec ea e ae ac fec e ee ac ae e fec ac ee e cef aa fec e ee ca cef e ea ca ae e cef ca ea e a ce e ce e fe ef fe ef fe ef fe d ef bdbb e bg gbbg ec bg bbd e bg dbb ec bg dbbg e bg gbbd ac b bbd e gb dbb ac gb gbbg e gb bbd aa gb dbb e gb gbbg aa gb bbd e gb dbb ca db dbbg e db gbbd ca db bbd e db dbb ce db gbb e db ce db e bb fe bb e bb fe bb ef bb fe bb ef bd fe bd ef bd bd bd bd bd bg ```

I'm curious to see if this image contains any intersection points. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0909feff b,#fe0909ff c,#6166f4ff d,#f56561ff e,#babafeff f,#aed5afff g,#feb4b3ff ``` ```image e cae a a fffffffffffffcaffa fffffffffffffafffea fffffffffffffafff ea ffffffffffffaffff ca ffffffffffffaffff ca bd fffffffffffacffff aa dbbbdg fffffffffffafffff ac dbbbbg ffffffffffacfffff ac gbbbbg ffffffffffaffffff ae gdbbbd fffffffffccffffff ae dbbbdfffffffafffffff ae fdbbbbdfcafffffff a fffffdbbabdffffff ea fffffffcafdbbbdff ea fffffffaffffffdbf ca ffffffcafffffffdb ca ffffffafffffffffbd aa ffffffaffffffffffb ac fffffafffffffffffgb ac fffffafffffffffff bd ac ffffacfffffffffff bg ae ffffaffffffffffff b ae fffacffffffffffff db a fffafffffffffffff bg ea ffccfffffffffffff b ea ffaffffffffffffff db ca ca bd ca a b ca ea gb aa a bd ac ea b ac ae gb ae a db ae ae bg a a b ea ae db ea a bg ea cc b ca a gb ca cc bd aa a b ac ca gb ac a bd ae ea b ae a b a ea db a ae bg a b ae db a bg ac b a gb cc bd a b cc gb a dd ea bg a b ea db a bg ea b ae gb a bd ae b a gb ac bd a b cc b a db cc bg a b ea db a bg ea b a gb bd b ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0505ff c,#8282ffff d,#f44c56ff e,#c7c7feff f,#4343ffff g,#fea8a9ff ``` ```image caa f fac eaa fac eaa fac eaae faf eaae caf aae caf aae caa aac caa fac eaa fac eaa fac g eaae bbbdgg faf dbbbbbbddg aae ggdbbbbbbddg caf gdbbbbbbbdaae gddbbdaabdgg gaadbbbbbddg caa ggdbbbbbbddg aac gdbbbbbb eaa gdbbd fac bb eaa gb fac d eaae faf eaae caf aae caf aae caf aac caa fac eaa fac eaa fac eaae faf eaae ```  I observe an intersection inside area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#0505ffff b,#fe0a0aff c,#8888ffff d,#ff6666ff e,#cacaffff f,#4242ffff g,#ffb5b5ff ``` ```image e cae a ae ea ea a ea ea ca ae ca a fa bd ac ff dbbbdg a af dbbbbg fc ac gbbbbd a ac gdbbbd ff ae dbbbdg a ae dbbbbg cf a gbbabd ea cagdbbbd ea a db ca ea gb fa ae bd fa ea b af ae gb af a bd ac ac bg ae a b ae fc db a a bg ea ff b ea a db ca cf bd fa a b fa ca gb af a bd af ea b ac ae gb ae ea db ae ae bg a a b ea ac db ea a bg ca fc b ca a gb fa ff bd ff a b af cf gb ac a bd ac ea b ae a b ae ea db ea ae bg a b ae db a bg fc b a gb fc bd a b cf gb a dd cf bg a b ea db a bg ea b ae gb a bd ac b a gb fc bd a b ff b a db cf bg a b ca db a bg ea b ae gb bd b ```

Let's examine this image for potential line intersections. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#f43f3dff b,#0405fdff c,#fe0202ff d,#a0a8edff e,#f77571ff f,#aed4adff g,#4447f2ff ``` ```image ec cfc ea aa c c ea c c ec ea ce c c ea fc c aa ea c c c ea ec c ce ea c c fc ea aa c c ea c c ec ea ce c c ea fc c aa ea c c c ea ec c ce ea c c fc ea aa c c ea c c ec ea ce c c ea fc c aa ea c c c ea ec c ce ea fcffffffffffffff c fecfffffffffffff ea ffaaffffffffffff c fffcffffffffffbf aa ffffcffffffffbgf c ffffecfffffgbdff aa fffffcefffbbffff c ffffffcffbgfffff aa ffffffeabdffffff ffffffffffffcfff ffffffbbafffffff fffffffffffaafff fffffbgfcfffffff fffffffffffcffff fffdbdfffcffffff ffffffffffaaffff ffbbfffffecfffff ffffffffffcfffff fbgfffffffceffff ffgffffffaafffff dbdfffffffffcffff ffgbgffffcffffff gbfffffffffffecfff ffffbbffaaffffff bg ffffffffffffaaff fffffdbbcfffffff dbd fffffffffffffcff fffffffgbgffffff gb ffffffffffffffcf fffffffcfbbfffff bg f ffffffaaffdbgfff dbd ffffffcfffffgbdf gb fffffaafffffffbb bg fffffcfffffffffdbg dbd ffffaaffffffffff gbd gb ffffcfffffffffff bb bg fffaafffffffffff dbg dbd fffcffffffffffff gbd gb ae bb bb e dbg dbd gbd gb bb bb dbg dbd gbd gb bb bb dbg bd gb ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#fd5355ff b,#0303feff c,#fd0001ff d,#c4c4ffff e,#8484ffff f,#fed1d2ff g,#4136f4ff ``` ```image fccf aca fccf aca fccf aca fccf aca fccf aca fccf ed aca dbbg fccf ebbbe aca dgbbgd fccf ebbbg aca ebbbe fccf dgbbgaca ebbbgf gbbbe fccgbbgd aca ebbbe fccf ebbbe aca dgbbgd fccf ebbbe aca gbbbe fccf dgbbgd aca ebbb fccf gb aca d fccf aca fccf aca fccf aca fccf ```  I observe an intersection inside area A. Time to investigate another area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#f5363fff b,#0a0afeff c,#fe0404ff d,#b8b7fdff e,#ff8181ff f,#ffc5c5ff g,#5f5cfcff ``` ```image fcce eccf aca cce fccf ecc aca fcce eccf dbg aca gbbb cce gbbg fccf dbbbd ecc dbbbd aca gbbg fcce dbbbd eccf dbbbd aca gbbg ccedbbbd fcabbbd gbbg dbbbaa dbbbdcce gbbg eccf dbbbg aca dbbbd cce gbbg fccf dbbbg ecc dbbbd aca gbbg fcce dbbbg eccf bbbd aca bg cce g fccf ecc aca fcce eccf aca ```  Eureka! There's definitely an intersection in area B! I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#fd4143ff b,#0404feff c,#ff0202ff d,#afafffff e,#ff7272ff f,#ffc5c5ff g,#4744fcff ``` ```image f ec cfc ea aa c cf ea c c ec ea ce c c ea fc c aa ea cf c c ea ec c ce ea c c fc ea aa c cf ea c c ec ea ce c c ea fc c aa ea cf c c ea ec c ce ea c c fc ea aa c cf ea c c ec ea ce c c ea fc c aa ea cf c c ea ec c ce ea c c fc aa aa c cf b aa c bg c ec dbd aa ce bb c c bg aa fabd c bba aa bg cf c dbd c aa gb ec c bg ce g aa dbd c gbd c gb fc bb ae bg aa dbgc dbd cf gbd gb c c bb bg f ae dbg dbd c gbd gb ae bb bg c dbg dbd ae gbd gb c bb bg ae dbg dbd c gbd gb ae bb bb e dbg dbd gbd gb bb bb dbg dbd gbd gb bb bb dbgdbd gb ```

I'm ready to tackle this image and find those intersections! I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#fe0807ff b,#5a5cfaff c,#f45954ff d,#0707feff e,#a2a1ffff f,#fcacabff g,#add4acff ``` ```image e bddddbe edddddb ebddddbe gggggggggggggggg ebddddbe gggggggggggggggg edddddbgggggggggggggggg ebddddbbgggggggggg eeeeeeeeeeeeeebbbbbbbbbb ggggbbdddddddddddddddddddddddddbbbbbbbbbbbbbbeeeeee gggggggggggggggg ggggggfagggggggg ggggggaccggggggg gggggcagaggggggg gggggaggfagggggg ggggacgggacggggg ggggagggggaggggg gggacgggggcagggg gggagggggggagggg ggagggggggggaggg gcagggggggggacgg gagggggggggggagg ccgggggggggggcag agggggggggggggac acgggggggggggggga a cc af a fa fa a af ca a a ca cc af a a af cc a a a fa fa af a a cc ca a a ac fa a ac af a fa fa a af fa a a cc cc a a fa af af a a af ca fa a a a cc ac a a ac fa a af af a fa cc a a fa fa a af cc a a ca af af a a af cc fa a a fa ca af a a cc cc a a af fa ac a fa af a cc a ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#3a3affff c,#ff8080ff d,#0303feff e,#b6b6ffff f,#ffc6c6ff g,#ff3c3cff ``` ```image ee dddbbee bddddddddbbee eebbdddddddbbbbbbbbbbbbbddd eebbdddddddddddddddddd eeeeeeeeeeeeeeee cg faac gaaaf caagag aacfaaf cag caa faaf gac gag faaf faaf gag gac aac caa caa aac gag caa faaf aaf cag cag aac faaf faaf gag gag faaf faac gac caa caa gac aac faaf cag cag faaf aac gag caa faaf ga gac fa aa c ```  No luck this time. Area A doesn't have an intersection. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#5757ffff c,#ff8080ff d,#0707ffff e,#9e9effff f,#ffc1c1ff g,#ff4040ff ``` ```image e bddddbe edddddb ebddddbe ebddddbe eddddde ebddddbe eeeeeeeeeeeeeeebbbbbbbbb ebdddddddddddddddddddddddddbbbbbbbbbbbbbeeeeeee fa agg cg a a fa gc ac a a af ca fa af af fa ca gc a a gg ca a af ac a a gg af a fa fa a ac cg a a ca gg af a a ac gg fa a af fa ca af a a gg gg a a gc fa a ac af a fa ca a af ca a a gg gg a a fa ac ac fa a af cg fa af a fa cg gc a a gc ca a af af a fa gg a a ca fa a ac gg a a ca ac af a a af gg fa a a fa cg af a a gc gg a a af fa ac a ca af a gg a ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#b8b8ffff b,#0808fdff c,#f75f5cff d,#6564f6ff e,#fd0909ff f,#add4adff g,#ffb5b5ff ``` ```image fffffffffffffffffffff fffffffffffffffffffff fffbdffffffffffffffff ffffbffffffffffffffff ffffbffffffffffffffff fffffbfffffffffffffff fffffbfffffffffffffff fffeedbffffffffffffff ffffcebffffffffffffff ffffffdbfffffffffffff fffffffbeffffffffffff fffffffbdefffffffffff ffffffffbfeefffffffff ffffffffbdfeeffffffff fffffffffbfffecffffff fffffffffbffffeefffff ffffffffffbffffceffff ffffffffffbffffffecff ffffffffffdbffffffeef fffffffffffbfffffffceg dd ec c b ee geeec dd geg ceeeg b ee geeec ba ce ceeeg b gec geeec ba ee ceeeg ab ceg geeec b ec ceeeg ab ee geeec b geg ceecg dd ee geeec b cegceecg dd geg b ba b ba ab b ab b dd b dd b ba b ba ab b ab b dd b bd b ba b ba ab b ab b dd b bd b ba b b ab adbb b adbbbbd db dbbbbda b abbbbda dd adbbbda b adbbbba bd adbbbbd b dbbbbd ba dbbbbda bbda ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#ababffff b,#0908feff c,#fc7679ff d,#fb383bff e,#fe0506ff f,#5c46e8ff g,#fec3c4ff ``` ```image aa abb bba abb bba fbf bba fbf abb fbf g abb ed bba geeegabb gdeecbba ceefbb geebba dfbf cbbdg fbfec abbeed fbfeeeg abbgdeec bba ceedg abb geeeg bba gdeec abb ceedg bba geeec fbf deed bba ceeeg fbf gdeec abb ceed fbf geeeg abb gdeec bba ceedg abb geee bba de ```  The close-up clearly shows an intersection point in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#cbcbffff b,#0606ffff c,#ff5e5eff d,#8d8dffff e,#ff0808ff f,#4f49f8ff g,#ffb5b5ff ``` ```image a bd b ba ab b eedb ceb ff be ffeg b ec bd ce b geg ba ee ab ce b gec db ee b ceg df ec c b ee geeec fd geg ceeeg b ee geeec bd ce ceeeg b gec geeec ba ee ceeeg ab ceg geeec b ec ceeeg db ee geeec b geg ceecg ff ee geeec b cegceecg fd geg b bd b ba ab b db b ff b fd b bd b ba ab b db b ff b fd b ba b ba ab b db b ff b fd b ba ab ba ab afbb b adbbbbd db dbbbbfa b dfbbbfa ff dfbbbfa b afbbbfd fd afbbbbd b adbbbbda ba dbbbbfa abbfa ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#fb0c0aff c,#ec786fff d,#99a3ebff e,#525bebff f,#b1d6b0ff g,#eef2f0ff ``` ```image d ad a ad a ad ga ad ga ad ga ad ga ad ga ag ga ag ga ag da ag da ag da ag da c ag cb da bc a b da fb a bc da bg a gb da cb a bc da b a cb ee bc a bg ee gb a cb ee bc a b ee cb a bcgggggggeegggggggggggggggggggggggggggggggggggggg gbffffffffaffffffffffffffffffffffffffffffffffffffg gfbfffffffeefffffffffffffffffffffffffffffffffffffg gfbbfffffffafffffffffffffffffffffffffffffffffffffg gffbcffffffeeffffffffffffffffffffffffffffffffffffg gfffbfffffffaffffffffffffffffffffffffffffffffffffg gfffcbffffffaefffffffffffffffffffffffffffffffffffg gffffbcffffffafffffffffffffffffffffffffffffffffffg gfffffbffffffaeffffffffffffffffffffffffffffffffffg gffffffbffffffaffffffffffffffffffffffffffffffffffg gffffffbbfffffaefffffffffffffffffffffffffffffffffg gfffffffbffffffafffffffffffffffffffffffffffffffffg gffffffffbfffffaeffffffffffffffffffffffffffffffffg gffffffffcbfffffaffffffffffffffffffffffffffffffffg gfffffffffbcffffaefffffffffffffffffffffffffffffffg gffffffffffbfffffafffffffffffffffffffffffffffffffg gffffffffffcbffffadffffffffffffffffffffffffffffffg gfffffffffffbbffffaffffffffffffffffffffffffffffffg gffffffffffffbffffadfffffffffffffffffffffffffffffg gfffffffffffffbffffafffffffffffffffffffffffffffffg geaa gfffffffffffffcbfffadffffffffffffffffffffffffffffg deaaaaeg gffffffffffffffbcfffaffffffffffffffffffffffffffffg geaaaaed gfffffffffffffffbfffadfffffffffffffffffffffffffdeaaaaed gfffffffffffffffcbfffaffffffffffffffffffffeaaaaaeg gffffffffffffffffbcffadfffffffffffffdeaaaaedfffffg gfffffffffffffffffbfffaffffffffeaaaaaefffffffffffg gffffffffffffffffffbffadfdeaaaaedffffffffffffffffg gffffffffffffffffffcbffaaaeffffffffffffffffffffffg gfffffffffffffffffffbcfffffffffffffffffffffffffffg gffffffffffffffffffffbfffffffffffffffffffffffffffg gffffffffffffffffffffcbffffffffffffffffffffffffffg gfffffffffffffffffffffbbcccffffffffffffffffffffffg gffffffffffffffffffffffcbbbbbbbbbbbbbbbbbbbbbbbbbccccccfggg ggggggggggggggggggggggggggggggggggggggggggggggfcccccccbbbbbbbbbbbb ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#0303feff b,#ff0707ff c,#ff5454ff d,#7676ffff e,#3838ffff f,#ffaeaeff g,#b6b6ffff ``` ```image bc ead bbf gaag cbb ead bbc gaa fbbf ead fbbf gaa cbc ead bbc gaa fbbf ead cbb gaa bbc ead fbbf gaa fbb ead cbc gaa bbc ead fbbf gaa cbb ead bbc gaa fbbf ead fbb gaa cbc ead bbf gaa fbbf ead cbb gaa bbc ead fbbf gaa cbb aad cbc daa bbf aag fbbf dae cbb aag bbc dae fbbf aag cbb dae cbc aag fbbf dae fbbf aag cbb dae bbc aag fbbf dae cbb aag bbc dae fbbf aag fbb dae cbc aag ggd bbc dae gddeaaaa fbbf aag gdeeaaaaaaaed cbb dae ggdeaaaaaaaaedgg bbc aag gdeeaaaaaaaeddg fbbf dae ggdeaaaaaaaaedgg fbb aag gddeaaaaaaaeddg cbc dae ggdeaaaaaaaaedgg bbc gaag gddeaaaaaaaeedg fbbf daeeaaaaaaaaedgg cbb gaaaaaeedg bbc gdgg fbbf cbb cbc bbf fbbf cbb bbcfffffffff fbbbbbbbbbbbbbbbbbbbbbccccccccccfffffffff fcccccccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbc ```  Area A does not contain any intersection points. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0707ff c,#ff5656ff d,#8888ffff e,#4848ffff f,#ffacacff g,#c4c4ffff ``` ```image g ad a ad a ad a ag a ag a ag a ag ga ag ga ag ga ag ga a ga a ga a ga c a cb da bf a b da fb a bc da b a b da cb a bf de b a fb de bc a b de b a cb ee bf a b ee fb a bc ee b a fb ee cc a bf ed b a fb ed bc a b ed fb a cc ad bf a b ad cb a bf ad b a fb ad bc a bf ag b a gdaa cb ag deaaaadg bf a gdaaaaed b ag geaaaaeg fb a gdaaaaed bc ag geaaaaeg b ga deaaaed b ag geaaaaeg cb gaaadg bf b fb bcffff ccccbbbbbbbbbbbbbbbbbbbbbcccccffff fffffcccccbbbbbbbbbbb ```

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,#ee5350ff b,#0a0bfcff c,#eef0efff d,#6970f0ff e,#b0d6b0ff f,#fc0808ff g,#ee9d94ff ``` ```image c cbbb dbc dbd cbd bbc dbc cbb ccccccccccccccccccccccccccccbbcccccgcccc dbe ceeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeefffeeeec bb ceeeeeeeeeeeeeeeeeeeeeeeeebbeeeeafaegfeeec dbd ceeeeeeeeeeeeeeeeeeeeeeedbdeeegffeeeefgeec bbc ceeeeeeeeeeeeeeeeeeeeeebbeeeeffeeeeeeefeec cbb ceeeeeeeeeeeeeeeeeeeedbdeeeffeeeeeeeeefaec dbd ceeeeeeeeeeeeeeeeeeebbeeeffgeeeeeeeeeeefec bb ceeeeeeeeeeeeeeeeedbdeeafaeeeeeeeeeeeeeafc ebd ceeeeeeeeeeeeeeeebbeegffeeeeeeeeeeeeeeeefc bbc ceeeeeeeeeeeeeedbdeeffeeeeeeeeeeeeeeeeeeef cbb ceeeeeeeeeeeeebbeeffgeeeeeeeeeeeeeeeeeeeefg dbd ceeeeeeeeeeeebdeafaeeeeeeeeeeeeeeeeeeeeeecf bbc ceeeeeeeeeebbeafaeeeeeeeeeeeeeeeeeeeeeeeecaf cbd ceeeeeeeeebbgffeeeeeeeeeeeeeeeeeeeeeeeeeec fc dbc ceeeeeeebbeffeeeeeeeeeeeeeeeeeeeeeeeeeeeec cf cbb ceeeeeebbffgeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fg dbd ceeeedbafaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec f bbc ceeebbfaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec aa cbb cedbffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fc dbd cbbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec gf bb bageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeec fg dbd gcccccccccccccccccccccccccccccccccccccccc cf bbc aa cbb f d gf fc cf fa f gf fc cf fg f aa fc gf fg f aa f gf fc cf fa f gf fc cf fg f aa fc gf fg f aa f gf fg cf fa f gf fc cf fg f af fc gf fg f aa f ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#f73239ff b,#0807feff c,#fec4c4ff d,#594ff5ff e,#aeaefeff f,#fe0304ff g,#fd7c7eff ``` ```image ebbbd caffc dbbbe caffffa ebbbd cafffg afg dbbbe gfffg cffc ebbbd gfffac afa dbbbe caffac cffc edbbd cafffg gfa ebbbe cafffg ffg dbbd gfffg gff ebbbe gfffac afg dbbd caffac cffc ebbbe cafffg gfa dbbd cafffg ff ebbbe gfffg gf dbbde gfffac a ebbbd caffac c dbbbe cafffg ebbbd cafffg dbbbe gfffg ebbbd gfffac dbbbe caffac ebbbd cafffg ebbbe gfffg dbbd gfffgc ebbbe gfffac dbbd caffac ebbbecafffg dbbdcgfffg ebbbegfffac dbbdgfffac ebbbdaffac dbbbafffg ebbbdfffg dbbbaffac ebbbdffac dbbbafac ebbbdffg dbbbafg dbbdfac bbaac ```  It's a shame, but area A doesn't contain an intersection. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#f8373dff b,#0a09feff c,#ffc5c5ff d,#6363ffff e,#bfbefeff f,#ff0404ff g,#ff8080ff ``` ```image e ebbb db dbd bd bb dbe ebb bb g dbe dbe aff bb bb gfg cf ebd dbe cfa fc bbe bb cff f ebb ebe ffc ag dbe bb afg f bb ebd gfg gf ebd bb cfa fc dbe ebd cff cf bb bb ffc ag dbd ebd afg f bb bb gfa ga ebd ebdcfa f dbe dbeff cf bb bbffc fg dbd dbafg f bb bbfa aa ebb dbaa f dbe bbf cf bb bac fc ebd c f bbe aa bb f d gf fc f ag f ga fc cf fg f aa f cf fc f aa f gf fc f ag f gf fc cf fg f ga f cf fc f aa f gf fc f ag f gf fc cf fg f ga f cf fg f aa f ```

I have an image in front of me. I need to determine if there are any intersection segments. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#f90a0aff c,#a1a4faff d,#de7a6aff e,#9ac39bff f,#4f56efff g,#b1d7b1ff ``` ```image c a ac a a ca a fa a c ff ff a a ac ff a a ac ff ca a a ff ca a a ff ff a a ff ac a a ca ac a ca ca a a ca ca a a ff ca a a af ca a a ac ca ca a a bb egggggeaggggggggggggggggggggggggggggggggggggggggggggggfa dbb gggggggaegggggggggggggggggggggggggggggggggggggggggggggae dbbeggggggeaggggggggggggggggggggggggggggggggggggggggggggfag dbbggggggaegggggggggggggggggggggggggggggggggggggggggggagg gdbbggggeaggggggggggggggggggggggggggggggggggggggggggafgg gggdbbeggaegggggggggggggggggggggggggggggggggggggggggaggg gggggdbbegaggggggggggggggggggggggggggggggggggggggggafggg gggggggebbacggggggggggggggggggggggggggggggggggggggeagggg gggggggggebaegggggggggggggggggggggggggggggggggggggaegggg gggggggggggabbdggggggggggggggggggggggggggggggggggcaggggg ggggggggggggagbbdggggggggggggggggggggggggggggggggagggggg ggggggggggggafggbbdgggggggggggggggggggggggggggggfagggggg gggggggggggggaggggbbdgggggggggggggggggggggggggggaggggggg gggggggggggggafgggggbbdggggggggggggggggggggggggffggggggg ggggggggggggggagggggggbbdggggggggggggggggggggggagggggggg gdddbbbbbbb ggggggggggggggafggggggggbbdgggggggggggggggggggafgggdddbbbbbbbbbbddd gggggggggggggggaggggggggggbbdgggggggggedddbbbbabbbbbddde gggggggggggggggafgggggggggggbbbbbbbbbbbbdddegaeggggggggg ggggggggggggggggagggggggggggggdeggggggggggggcagggggggggg ggggggggggggggggffggggggggggggggggggggggggggaggggggggggg gggggggggggggggggagggggggggggggggggggggggggfaggggggggggg gggggggggggggggggffggggggggggggggggggggggggagggggggggggg ggggggggggggggggggagggggggggggggggggggggggffgggggggggggg ggggggggggggggggggffggggggggggggggggggggggaggggggggggggg gggggggggggggggggggagggggggggggggggggggggafggggggggggggg eeeeeeeeeeeeeeeeeeeffeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeee a ac ff ca a a ca ca a a ca ff a a ca af a a ca ac a ca ca a a ca ca a a ff ca a a ff a a aac a ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#0605feff b,#fd0809ff c,#8b8bffff d,#ffb2b2ff e,#ccccfeff f,#4b45f8ff g,#fd5f60ff ``` ```image faf f eaae ca faf aa eaae caa faf aac bd eaae faf bbbg faf eaae dbbbbg eaae faf dbbbbg faf eaae dbbbbg eaae fac dbbbbg faf caa dgbbbg eaae aac dgbbbg caf caa dgbbbgd eaae aac dgbbbgdcaf caf dgbbbgaae eaae dgbbfaf faf dgbaagd eaae faabgd faf aabbbgd caa caagbbbbd aac aac gbbbbd caa caa gbbbbd aac aac gbbbbd caf caa gbbbbd eaae aac dbbbbd faf caa dbbbbd eaae aac dbbbbg faf caa dbbbbg eaae aac dbbbbg aac caa dbbbbg caa fac dbbbbg aac ddddggggb caa dgbbbg ddfaagggbbbbbbbbbbbbb fac dgbbbg ddddggggbbbbbbaabbbbbbbbbbggggddd eaa dgbbbgd dddgggggbbbbbbbbbbbbbbbbbfafggdddd fac dgbbbbbbbbbbbbbbbbbbbbbbggggdddd eaae eaa dgbbbbbbbbggggddd faf fac ddd eaae eaae fac faf caa eaae aac faf caa eaae aac faf faf eaae eaae faf faf eaae eaae faf fac eaae caa faf aac eaae caa ```  I can confirm that an intersection exists in area A. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0405ff c,#8888ffff d,#ffa2a2ff e,#c7c7ffff f,#4646ffff g,#fa4448ff ``` ```image c a ac ea ae ea a cf a c ff fc a a ac ff ea a ae ff ea a a ff ca a a ff ff a a cf ac a a cf ae a ea ca a a ca ca a a ff ca a a fc ea a a ae ea ea ae ae bg ea ca dbb ae a dbb ea ff dbb ae a dbb ea fc dbb ae a dbb a ac dbbae ea bad ae agbd ea a bbd a ac bbd cf a bbd a ac bbd ff a gbd a ddggbbbbbbb fc gbg ac ddggbbbbbbbbbgddd a gbg ddggbbbabbbbggdd fc gbgbbbbbbbbggdd ae a d ea ff a a ca ff a a ff ff a a ac ff a a ae cf ea a a cf ca a a ca ff a a ca fc a a ca ae a ea ea ae a ca ea a ae ff ea a ae fc ea a aac ea ```

This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#de9585ff b,#090bfbff c,#fc0707ff d,#6572e4ff e,#b2d7b2ff f,#a3cda4ff g,#ea4d43ff ``` ```image d dbb dbb ebbd bbd c dbb cca dbb fffffffffffcfcffffffffffffffffffffffffffffffffffffffffff bbd feeeeeeeeeggeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbd feeeeeeeeeceeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbb feeeeeeeeggeeeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dbbefeeeeeeeeceeeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbdeeeeeeggeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fbbdeeeeceeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feedbbeaceeeeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeedbbfeeeeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeacbbdeeeeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeceeebbdeeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeaceeeeebdeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeecfeeeeeebeeeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeefceeeeeeedbeeeeeeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeecaeeeeeeeebbeeeeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feefceeeeeeeeeebfeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feecaeeeeeeeeeeebeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeceeeeeeeeeeeedbeeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeef fecaeeeeeeeeeeeeebdeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeef feceeeeeeeeeeeeeeebfeeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeef fcgeeeeeeeeeeeeeeefbeeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeef fceeeeeeeeeeeeeeeeedbeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeef ggeeeeeeeeeeeeeeeeeebdeeeeeecgeeeeeeeeeeeeeeeeeeeeeeeeef ceeeeeeeeeeeeeeeeeeeebfeeeeeecfeeeeeeeeeeeeeeeeeeeeeeeef ggeeeeeeeeeeeeeeeeeeeefbeeeeeefceeeeeeeeeeeeeeeeeeeeeeeef cfeeeeeeeeeeeeeeeeeeeeedbeeeeeegceeeeeeeeeeeeeeeeeeeeeeef agfeeeeeeeeeeeeeeeeeeeeeebdeeeeeecaeeeeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeebfeeeeeeceeeeeeeeeeeeeeeeeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeefbeeeeeeaceeeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeedbeeeeeecgeeeeeeeeeeeeeeeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeceeeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeaceeeeeeeeeeeeeeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeggeeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeecaeeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeefceeeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeegceeeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeecaeeeeeeeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeceeeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeaceeeeeeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeecgeeeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeecfeeeeeeeeeeeef ga feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeaceeeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeggeeeeeeeeeeef gg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeeecaeeeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeceeeeeeeeeef gg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeegceeeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeecaeeeeeeeef ag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeeeceeeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeaceeeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeecgeeeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeecfeeeeef ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeefceeeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeegceeeef ec feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeecaeeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeceeef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeegceef ce feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeecaef c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeecef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeacf c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeecg ca ffffffffffffffffffffffffffffffffffffffffffffffffbbfffffc c be ga b c db gg bd c b gg b c db ag bd c b ac c ac c ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#ff7d7dff b,#0808feff c,#ff0404ff d,#5656feff e,#adadfeff f,#ffc6c6ff g,#fe3c3dff ``` ```image fccaccf gca gcg fcc cca gca fccf ccf acc ca gcg gg accf fcf gcg ac fcc de cc acf bbbe acg gg dbbbbd ccf ca ebbbde acg ccf edbbde ccf acc dbbbbe acg gcg dbbbbdgca fcca ebbbbbe accf ebbbbde gcg fcgdbbbe fcca fcc bbbbd gcg gca edbbd cca fcc ebbe fccf gca dbb acc fccf dbd gcg gca bbd fcca fccf ebbe accf gcg dbb gcg fccf bbd fcc acg ebbe fcf ccf ebbe gg acg dbb ca cg ebe acc cf ebe gcg ag bb fcca ca bbd accf ac ebbe gcg gc ebb cca fcc dbb fccf gca bbd gcc fcc ebbe cca gca dbb fccf fcc dbd acc gca bbd gcg fccf ebbe fcca ccf dbd gcg cg bbd cc cf ebbe fcf g dbb ac f bb cg ebe ccf ebe acc bb gcg bbd fcca ebbe accf ebbe gcg dbb cca ebbe acc ebbe gcg dbb fccf bbd accf ebbe gcg dbb fcca dbd accf bbd gcg ebbe cc dbb fcf db ac bd cg bb accf bbd gcg ebbe fcca ebbe accf dbb gcg bbd cca ebbe fccf ebbe acc dbb gcg bbd fcca ebbe accf ebbe gcg dbb fcca ebbe gcg dbb cc db fcf bd ac ebe cg bb cca dbd accf bbd gcg ebbe cca dbb fccf bbd acc bbe cca dbb acc bbd gcg ebbe fcca ebbe accf dbb gcg bbd cca ebbe fccf ebb acc db gc bd fcf ebe acf bb cg dbb cca ebbe gcg dbb cca dbd fccf bbd acc ebbe gc dbb fc ```  Incredible, there's actually an intersection in area A! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#ff7a7aff b,#0909feff c,#ff0404ff d,#5858ffff e,#acacfeff f,#ffc0c0ff g,#fd3638ff ``` ```image e dbb ebbe ebbe bbd c dbb gca ebbe c c ebbe ga fc bbd c ga dbb ag c ebbe c fc ebbe ag gg bbd c cf dbb ag c ebbe ac fgbbe ca c bbd c fc be fc c b gg fc eb cf cf bd c c be ag cf b cf c eb c ca bd ac c b ca ga b c c db fc ga bd gg c b cf ag b c c db ag ag be cf c b c ag eb ac c db ca fc be c c b fc fc eb gg cf dd cf fc be c cf b ac c eb cf cf bd c c be fc ca b ca c eb c ga bd fc c be gg ga b cf c db c ag bd ac c b ca ag b c c db fc ag be ga c b c fc eb fc c db gg fc be cf cf b c fc eb ac cf db ca c be c cf b fc c eb gg ga bd c c be ga b c eb ga bd c be ag b c eb ag bd c b ac c fc c ```

I'm curious to see if this image contains any intersection points. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#0506fdff b,#fc0908ff c,#909be6ff d,#b1d7b1ff e,#99c796ff f,#e3685aff g,#434de9ff ``` ```image eddddddddddddddddddddddddddddddddddddddddddddddddddddd eddddddddddddddddddddddddddddddddddddddddddddddddddddd eddddddddddddddddddddddddddddddddddddddddddddddddddddd edddddddddeddddddddddddddddddddddddddddddddddddddddddd edddddddbbbbbbbffddddddddddddddddddddddddddddddddddddd eddddebbfdddddefbbbbbffddddddddddddddddddddddddddddddd eddfbbeddddddddddddddffbbbbbfedddddddddddddddddddddddd efbbdddddddddddddddddddddddffbbbbbfedddddddddddddddddd bbfdddddddddddddddddddddddddddddddefbbbbbffdddddddddddd dbbdeddddddddddddddddddddddddddddddddddddddefbbbbbffdddddd fbb edddddddddddddddddddddddddddddddddddddddddddddfbbbbbbf fbf edddddddddddddddddddddddddddddddddddddddddddddddddddff bbf eddddddddddddddddddddddddddddddddddddddddddddddddddddd dbbd eddddddddddddddddddddddddddddddddddddddddddddddddddddd fbb eddddddddddddddddddddddddddddddddddddddddddddddddddddd bbf eddddddddddddddddddddddddddddddddddddddddddddddddddddd bbf eddddddddddddddddddddddddddddddddddddddddddddddddddddd fbb eddddddddddddddddddddddddddddddddddddddddddddddddddddd fbb eddddddddddddddddddddddddddddddddddddddddddddddddddddd bbf eddddddddddddddddddddddddddddddddddddddddddddddddddddd d eddddddddddddddddddddddddddddddddddddddddddddddddddddd eddddddddddddddddddddddddddddddddddddddddddddddddddddd eddddddddddddddddddddddddddddddddddddddddddddddddddddd eddddddddddddddddddddddddddddddddddddddddddddddddddddd edddddddddddddddddddddddddddddddddddddddddddddddddddcg edddddddddddddddddddddddddddddddddddddddddddcgaaaaaaag eddddddddddddddddddddddddddddddddddecgaaaaaaggcddddddd eddddddddddddddddddddddddddcggaaaaaaggcddddddddddddddd eddddddddddddddddddcggaaaaaagceddddddddddddddddddddddd eddddddddddcgaaaaaaagcdddddddddddddddddddddddddddddddd eddddddddgaggcdddddddddddddddddddddddddddddddddddddddd eddddddddadddddddddddddddddddddddddddddddddddddddddddd edddddddacdddddddddddddddddddddddddddddddddddddddddddd eddddddgaddddddddddddddddddddddddddddddddddddddddddddd eddddddadddddddddddddddddddddddddddddddddddddddddddddd edddddacdddddddddddddddddddddddddddddddddddddddddddddd eddddggddddddddddddddddddddddddddddddddddddddddddddddd eddddadddddddddddddddddddddddddddddddddddddddddddddddd edddaddddddddddddddddddddddddddddddddddddddddddddddddd eddggddddddddddddddddddddddddddddddddddddddddddddddddd edcadddddddddddddddddddddddddddddddddddddddddddddddddd edaddddddddddddddddddddddddddddddddddddddddddddddddddd dageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ca a ac ca a ac ca a ac ca a ac ga a ac gg a a gg a a gg ca a ag ca a ac ca a ac ca a ac ca a ac ga a a ```  My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#0202ffff b,#ff0606ff c,#babaffff d,#ffa9a9ff e,#7171ffff f,#ff5151ff g,#3131ffff ``` ```image d bbbbbbbfd dbbd dfbbbbfd dbbd dfbbbbfd fbb dfbbbbbfd bbf dfbbbbbfd dbbd ddfbbbbfd fbb dfbbbbfd fbf df bbf dbbd fbb fbf dbbd dbbd fbb bbf d ce cegaaaaage ccegaaaaagec cegaaaaaagec cegaaaaagecc cegaaaaagec eagec a ac eg a ac gg a a gg ca a ge ca a ae ca a ae ea a ac ea a ac eg a ac eg a ac gg ca a ge ca a ge ca a ae ca a ae ea a ac ea a ac eg a ac ```

I'm curious to see if this image contains any intersection points. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#f15d56ff b,#0707feff c,#fe0808ff d,#a9a9ffff e,#fd9190ff f,#add4adff g,#5858fdff ``` ```image e c c ca ec c ce ec c ce ac c c ca ec c ce ec c ce aa c c ca ec c ce ec c ce aa c c ca ec c ce ac c c aa d c bb c dbg ca bb ec gbd c bb ce gbd ac bg c gb c dbg aa bb ffffffffffffffff c dbg ffffffffffffffff c bb ffffffffffffffffca gbd fffffffffffffffac bb fffffffffffffffc gbd ffffffffffffffca bb fffffffffffffacf gb fffffffffffffcff dbg ffffffffffffcfff bb fffffffffffccfff dbg fffffffffffcffff bb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaacfffff dbd eeeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaefffff bb ffffffffffffffffgbd fffffffffffffffbb fffffffffffffbbf ffffffffffffbgff ffffffffffbbffff dbbbg dbbbd gbbg dbbbd gbbgd dbbbg gbbbd gbbg dbbbd gbbgd bbg ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#ff5959ff b,#0303ffff c,#ff0404ff d,#8e8effff e,#ff8a8aff f,#fac9ceff g,#3d3effff ``` ```image f a ec fcc cca acc fccf cca acc eccf fcce aca eccf fcce cca aaaaaaaaaaaaaaaaaaaaacc ccccccccccccccccccccccf eeeeeeeeeeeeeeeeeeeeef g dbb gbbg dbbbd fgbbg ```  Area A is clear of intersections, but the search continues. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#ff5858ff b,#0505ffff c,#ff0606ff d,#8b8bffff e,#ff8d8dff f,#e2ceebff g,#4444ffff ``` ```image e fc cf ca ec c ce ec c cf aa fc c ca ec c ce ec c cf aa fc c ca ec c ce ec c cf aa fc c ca ec c ce ec c cf aa f fc bb c dbd ca bb ec dbd c bb ce gbf ac fbg c gbf cf fbg aa bb fc dbd c bb ca dbd ec bb c gbf ce fbg ac gbf c fbg cf bb aa dbd fc bb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaac dbd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bb gbf fbg gbf fbg bb fgbbd dbbbd fgbbgf dbbbd gbbgf fbbbd dbbbd fgbbgf dbbbd gbbgf bbd ```

I'm analyzing this image to identify any points where lines intersect. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#0808feff b,#fe0606ff c,#b3b3ffff d,#f8a29fff e,#5c5ef9ff f,#f84d49ff g,#add4acff ``` ```image aa aeea ac a cac ca ca ac ea a ea ee aa a ae ca ae ac ac a cac ee ca a ea ca ea ac aa a ae ae ae a ac ea ac a ca ca ea ac ea a aa ee aa a ae ca ac ac ac a ca ee ca a ea ca aa ac c a ae a ea a ca ac a ee bbd a fb bf ca bf bb ac fb fb a dbf db ae bb db a dbf bd ca bb bf ac dbf bb a bb fb ae dbd fb a bb db ea dbd bd a bb bf ca dbd bf ac bb bb a fbd fb ee bb db a fbd bd ca bf bd ac fb bf a bf bb ae fb fb ggggggggaggggggg bf db ggggggggeagggggg dbgggggggggagggggg bfggggggggaggggg gbfgggggggaegggg ggbbgggggggagggg gggfbggggggeaggg ggggfbggggggaggg gggggdbggggggagg gggggggbdggggaeg ggggggggbfggggag gggggggggbbgggeg ggggggggggfbgggg gggggggggggfbggg ggggggggggggdbgg ggggggggggggggbg gggggggggggggggg gggggggggggggggg gggggggggggggggg ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0909ffff b,#ff0606ff c,#b1b1ffff d,#ff8788ff e,#6161ffff f,#ff4343ff g,#ffcacaff ``` ```image eae aac eaa g aae bg caa bbg eae fbbd caac dbbd eaa dbbf aae gbbfg caa gbbbg eae gfbbg caac fbbd eaa fbbd aac dbbf caa dbbf aae gbbbg caac gbbbg eae fbbd aac fbbd eaa dbbf aae dbbf caa gbbbg c gbbbg fbbd fbbd dbbf dbbf gbbfg gbbbg gfbb fg ```  My analysis shows that the lines in area A do not cross. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0606ff c,#a0a0ffff d,#ff9a9aff e,#4f4fffff f,#ff4949ff g,#ebdaedff ``` ```image g aa acca gac ag gag ga ca ac ea a ea ee aa a ae ca ae ac ac a gag ee ca a ea ca ea ag aa ga ae ae ae a ac ea gag ag cag ga ca ac ea a aa ee ae a ae ca ac ac gac a cag ee ca a ea ca ea ag c ga ac a ea ag ga ac a ee gbbd a fbg bf ca gbf bb ac fbg fb a gbf db ee bbg dbg a dbf gbd ca bb bf ag dbd bb ga bb fb ac dbd fb a bb dbg ee dbd gbd ag bb bf ca dbd bf ac bb bb a fbd fb ee bb dbg a fbg gbd ca gbf bd ac fbg bf ga gbf bb ee fbg fb a bf db ca gbg ag bd ga bf ac bb a fb ee db a gbg ca gbd ac bf a bb c fb db dbg gb ```

This image looks interesting. I wonder if there are any intersections hidden in there? There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0202feff b,#fe0706ff c,#9394fdff d,#fda7a6ff e,#393afdff f,#aed5afff g,#fa5351ff ``` ```image c ee ac a a ca ee ac a a ca ee ac a a ca ee ac a a ca ee ac a a ca ee ac a a ca ee ac a a g ca gb ee bg ac bd a b a b ca db ee gb ac bg a bd a b cac db aac gb eae bg eae bd caa b caa b caac db aac gb aac bg eae bd eae b caa db caa gb caac bg aac bd eac b eae b eae db ffffeaaffffffff gb ffffffcaaffffff bg fffffffffaaffff bd fffffffffffffff b fffffffffffffff db fffffffffffffff gb fffffffffffffff bg fffffffffffffff bd ffffffgbbbbffff b fgbbbbgdfffffff b dgbbbbgfffffffffffff db dgbbbbd fffffffffffffff gg dbbbbgd fffffffffffffff bd dgbbbbgd fffffffffffffff bd dgbbbbg fffffffffffffff b dgbbbbd fffffffffffffff dbbgd fffffffffffffff fffffffffffffff fffffffffffffff ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0808ffff b,#ff0404ff c,#6464ffff d,#ffbdbdff e,#ff8181ff f,#c1c1ffff g,#ff4242ff ``` ```image fcaaaaf caaaac caaaac faaaacf faaaacf fcaaacf fcaaac fcac deggbg degbbbbbbbg ddegbbbbbbbbged deegbbbbbbbgged gbbbbbbbgeed bbbgedd d ```  Area A is clear of intersections, but the search continues. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#0202ffff b,#ff0707ff c,#9090ffff d,#ffa0a0ff e,#3939ffff f,#e8dbf1ff g,#ff5353ff ``` ```image c ee ac af fa ca ee ac af fa ca ee ac af fa ca ee ac af fa ca ee ac af fa ca ee ac af fa ca ee ac af fa g ca gb ee bg ac bd af bf fa fb ca db ee gb ac bg af bd fa b cac db faac gb eae bg eae bd caa bf caaf fb faaf db faac gb aac bg eae bf eae b caa db caaf gb faac bg faac bd eac bf eae fb eae db caaf gb caaf bd faa bf f b db gb bg bd fdbbbb bf fgbbbbgd fb dgbbbbgf db dgbbbbd gg fdbbbbgd bd fgbbbbgd bf dgbbbbgf b dgbbbbd dbbgd ```

I have an image in front of me. I need to determine if there are any intersection segments. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#4e4effff b,#ff0606ff c,#ff9797ff d,#9898ffff e,#ff4c4cff f,#0606ffff g,#edd4e6ff ``` ```image g gfff ff afd dfa ff ff dfd dfd ff ff dfd dfd ff ff dfa dfd ff ff gfa afd afg ff gfa afg afg gfa gfa afg afg gfa ff afg afd gfa ff ff dfd dfa ff ff dfd dfd ff ff dfa fd ff gfa afg gfa afg gf cb bbcb gbc cb eb cb be cb cbg cb bb gb gbc gb eb gbg be gbg cbc gbg bb bg gbe bg ebg bc bb bc cbc bc bb bc gbe bc ebg be bb be cbc be bb be gbe be ebg bb bb bb cbc bb e eb eb eb eb eb cb cb cb cb cb gb gb gbg gbg gbg bg b ```

This image seems promising for intersection detection. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#525ee7ff b,#fc100fff c,#e6877bff d,#0304fdff e,#b5b5ffff f,#b1d7b1ff g,#95c69bff ``` ```image c bbb cbbc bbb cbbc bbb cbbc bbb cbbc bbb cbbc bbb cbbc bbb cbbc bbb gggggggggggggggggggggggggggggggcbbc fffffffffffffffffffffffffffffbbbfg fffffffffffffffffffffffffffcbcfffg ffffffffffffffffffffffffffcbfffffg ffffffffffffffffffffffffffbffffffg fffffffffffffffffffffffffbcffffffg ffffffffffffffffffffffffbcfffffffg fffffffffffffffffffffffbbffadffffg ffffffffffffffffffffffcbfffdgdfffg ffffffffffffffffffffffbfffdafgdffg fffffffffffffffffffffbfffgdfffgdfg ffffffffffffffffffffbcfffdfffffgdg fffffffffffffffffffbbfffaaffffffgd ffffffffffffffffffcbffffdffffffffgd fffffffffffffffffcbffffdgffffffffged fffffffffffffffffbffffadfffffffffg ed ffffffffffffffffbcffffdffffffffffg ed fffffffffffffffbcffffdaffffffffffg ed ffffffffffffffbbffffadfffffffffffg ed fffffffffffffcbfffffdffffffffffffg ed fffffffffffffbfffffdaffffffffffffg ed ffffffffffffbfffffgdfffffffffffffg ed fffffffffffbcfffffdgfffffffffffffg ed ffffffffffbbfffffadffffffffffffffg ed fffffffffcbffffffdfffffffffffffffg ed ffffffffcbffffffdgfffffffffffffffg ed ffffffffbffffffadffffffffffffffffg ed fffffffbcffffffdfffffffffffffffffg ed ffffffbcffffffdafffffffffffffffffg ed fffffbbffffffgdffffffffffffffffffg ed ffffcbfffffffdfffffffffffffffffffg ed ffffbfffffffdafffffffffffffffffffg ed fffbfffffffgdffffffffffffffffffffg ed ffbcfffffffdgffffffffffffffffffffg ed fbbfffffffadfffffffffffffffffffffg ed cbffffffffdffffffffffffffffffffffg ed fbffffffffdaffffffffffffffffffffffg ed bggggggggadgggggggggggggggggggggggf ed bf d ed bc da ed bb ed ed cb d ed b aa ed b d ed bc de ed bb ad ed f d ed de ed ed ed d ed da ed ed e d aa d de ed d de ed d aa d de ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#6565ffff b,#ff0505ff c,#ff8282ff d,#0c0cffff e,#c2c2ffff f,#ff3f3fff g,#ffc5c5ff ``` ```image gcbb gfbbbb gcbbbbfg fbbbbcg cbbfg cbbg gbbc gbbf fbf fbbg cbbg gbbc gbbc fbf aa fbb eddd cbbg ddddd cbbg addeddd gbbc edde eddd bbf dda eddd fbf add eddd fbbg edde eddd cbbg dda eddd gbbc add edd gbbc edde ed fbf ada e fbb edde cbbg dda cbbg add gbbc edde bbf dda fbf add fbbg edde cbbg dda gbbc add gbbc edde fbf ada fbb edde cbbg dda cbbg add gbbc edde bbf dda fbf add fbbg edde cbbg ada gbbc edd gbbc dda fbf add fbb edde cbbg dda cbbg add gbbc edde bbf dda fbf add fbbg edde cbbg ada gbbc edde gbbc dda fbf add fbb edde cbbg dda cbbg add gbbc edde bbf dda fbf add fbbg edde cbbg ada gbbc edde gbbc dda fbf add fbb edde cbbg dda cbbg add bbc edde ```  Area A does not contain any intersection points. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#5354ffff b,#ff0202ff c,#ff8c8cff d,#0303ffff e,#aaaaffff f,#ff3030ff g,#e6d3ebff ``` ```image c fbb cbbc fbfg cbbc fbfg cbbc fbf cbbc fbf cbbc fbf cbbc gfbf cbbc gfbf cbbc gbbf cbc gb b bg bc ff ed cb dgd gb da gd bg gd gd bc d gd ff aa gd cb d gd gb dg gd b ad gd bg d gd bc de gd ff ed gd cb d gd gb da gd bg gd gd bc dg ed ff aa ed cb d ed gb de ed b ed ed bg d ed bc de ed ff ed ed cb d ed gb aa ed bg gd ed bc dg ed ff ad ed cb d ed gb de ed b ed ed bg d ed bc da ed ff gd ed cb d ed gb aa ed bg d ed bc dg ed ff ad ed g d ed de ed ed ed d ed da ed gd e dg aa d de ed d de ed d aa gd dg ```

I'm examining this image closely. My goal: find any and all intersections. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0606fcff b,#fc0908ff c,#90a0ddff d,#db6861ff e,#4e55eeff f,#b0d6b0ff g,#eff3f0ff ``` ```image c ac a ac a ac ga ac ga ac ga ac ga ag ga ag ga ag ga ag ga ag ca ag ca ag ca ag ca g a bd ca bg a gb ca db a bf ca b a db ce bd a bg ee gb a db ee bd a b ee fb a bd ee bg a gb ee db a bd ee bg a gb ee db a bf ec bggggggggaggggggggggggggggggggggggggggggggggggggggggggggggggggg dbfffffffaeffffffffffffffffffffffffffffffffffffffffffffffffffffg gbdfffffffaffffffffffffffffffffffffffffffffffffffffffffffffffffg gfbfffffffaefffffffffffffffffffffffffffffffffffffffffffffffffffg gffbfffffffafffffffffffffffffffffffffffffffffffffffffffffffffffg gffdbffffffacffffffffffffffffffffffffffffffffffffffffffffffffffg gfffbdffffffaffffffffffffffffffffffffffffffffffffffffffffffffdbg gffffbffffffacfffffffffffffffffffffffffffffffffffffffffffffbbdfg gffffdbffffffafffffffffffffffffffffffffffffffffffffffffffbbdffcg gfffffbbfffffacffffffffffffffffffffffffffffffffffffffffbbdfeaaag gffffffbffffffafffffffffffffffffffffffffffffffffffffdbbeaaaefffg gfffffffbfffffacffffffffffffffffffffffffffffffffffddaaaecffffffg gfffffffdbfffffafffffffffffffffffffffffffffffffcaaaacffffffffffg gffffffffbdffffacffffffffffffffffffffffffffceaaadffffffffffffffg gfffffffffbfffffafffffffffffffffffffffffeaaadbdffffffffffffffffg gffffffffffbffffacffffffffffffffffffeaaaefbbdffffffffffffffffffg gffffffffffdbffffaffffffffffffffcaaaecfdbbfffffffffffffffffffffg gfffffffffffbdfffacfffffffffcaaaacfffdbbfffffffffffffffffffffffg gffffffffffffbfffcafffffceaaacfffffdbbfffffffffffffffffffffffffg gffffffffffffdbfffacfeaaaefffffffbbdfffffffffffffffffffffffffffg gfffffffffffffbdffcaaefffffffffbbdfffffffffffffffffffffffffffffg gffffffffffffffbfffffffffffffbbdfffffffffffffffffffffffffffffffg gfffffffffffffffbfffffffffdbbffffffffffffffffffffffffffffffffffg gfffffffffffffffdbffffffdbbffffffffffffffffffffffffffffffffffffg gffffffffffffffffbdfffdbbffffffffffffffffffffffffffffffffffffffg gfffffffffffffffffbfbbdffffffffffffffffffffffffffffffffffffffffg gfffffffffffffffffdbdffffffffffffffffffffffffffffffffffffffffffg gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#0303feff b,#fd0708ff c,#7876fdff d,#f74c54ff e,#3831f7ff f,#feabacff g,#b6b6ffff ``` ```image bd eac bbf gaa fbbf eac dbb gaa bbd eac fb eac dd gaa bd eac bbf gaa dbb aac bbd cae f fbbf aa fdb fbbf ca fdbbb dbb ag fbbbd fbbf ag dbbbb dbb ae fdbbbdf gce dbd aag dbbbdf geaaaa bb cae fdbbdfgceaaaaecg fbf aag fbbbdceaaaaaeg db cae fbbbdeaaaaacg bd aag dbdeaaaaaecg bbf cae feaaaaaaec fbb aag gceaaaaecg dbd cae gceaaaaacg fbbf cae gcaaaaaedbd dbb aag gceaaaaadbbbf bbd cae gcaaaaaecdbbbf fbbf aag gceaaaaecgfdbbbf fbbf cae ceaaaaaac fdbbbdf dbb aag gcaaaaaecg fdbbbdf bb cae gceaaaaecg fbbbd fbf gaa ceaaaaaecg fbbbf db ca gceaaaaecg dbbbb bbf ce gaaaaaaecg dbbbdf fbbf gag gceaaaaecg fdbbdf dbb aeeaaaaaeg fbbbd bbd aaaaecg fbbbbf fbbf ccg dbbbbf fbb dbbbdf dbd fdbbdf bbd fdbbdf fbbf fbbbbd bbd bbbbf fbb dbbbf fbf fdbbbf db fdbbbdf bbbbbd ```  There is an intersection point visible in this close-up of area A. The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#0605feff b,#fd090aff c,#9392feff d,#fb6467ff e,#5450faff f,#feb5b6ff g,#cbcbffff ``` ```image g ac a ac a ac a ac a ag a ag ga ag ga ag ga ag ga ag ga ag ga a ga a ca a ca a bd ca b a fb ca db a bf ca b a fb ce bd a b ee b a db ee bf a b ee fb a bd ee bf a b ee db a bd ee b a fb ee db a bf ec b a fb ac bd a b ac b a db ac bf a db b ac bbd fb a bbf g bd ac fbbf eaaa bf a fbbcaaae b ag dbaaaeg db a gaaaeg bd ag geaaad b ga eaaaebd fb ag caaaefbbf db ga caaaeg fbbf bf ag geaaeg dbb b ga geaaac dbb fb ag eaaac bbd bd gaae bbd bf fbbf b fbbf db dbb bd dbb b dbd fbd ```

Here's an image. My task is to find intersections or areas where lines come close together. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#0808fdff b,#fb0e0eff c,#5860eeff d,#f07b74ff e,#97c598ff f,#b1d7b1ff g,#b9b9ffff ``` ```image g ga aga ga ac ag a a ga ag ac a a cc ga a ac cc a a ga ga cc a ag ga a ag ca a ag ag a a ca cc ag a a cc ca a ag ga a a feecaeeeeeeeeeeeeee ga efffacfffffffffffff ag effffafffffffffffff a effffcaffffffffffff ag efffffacfffffffffff a effffffafffffffffff cc effffffcaffffffffff a bbbbbbbddddddeefffffacfffffffff cc b fddddddbbbbbbbbbabbbbbbbbbbbbdddddd a bd effffffffeafffffffeffddddddbbbbb ga bb efffffffffacfffffff a db effffffffffafffffff ga b effffffffffeaffffff ag b efffffffffffacfffff a bd effffffffffffafffff ag bb effffffffffffeaffff a db feeeeeeeeeeeeeaceee cc b a a b ga cc bd cc a bd ag ga db a a fb ca effffffffffffffffeafffffffbe ag fffffffffffffffffaeffffffbde a fffffffffffffffffaffffffbbfe ca ffffffffffffffffacfffffdbffe ag ffffffffffffffffafffffebfffe a fffffffffffffffccfffffbffffe ca fffffffffffffffafffffbdffffe ag ffffffffffffffccffffbdfffffe a ffffffffffffffaffffdbffffffe ca fffffffffffffcafffdbfffffffe ag fffffffffffffaffffbffffffffe a ffffffffffffeafffbeffffffffe ga ffffffffffffaeffbdfffffffffe ac ffffffffffffaffbbffffffffffe a fffffffffffacfdbfffffffffffe ga fffffffffffaffbffffffffffffe ac ffffffffffccfbeffffffffffffe a ffffffffffafbdfffffffffffffe ga fffffffffcabbffffffffffffffe c fffffffffadbfffffffffffffffe ffffffffcabffffffffffffffffe ffffffffabeffffffffffffffffe fffffffeadfffffffffffffffffe fffffffabffffffffffffffffffe ffffffdafffffffffffffffffffe ffffffacfffffffffffffffffffe fffffbaffffffffffffffffffffe ffffbacffffffffffffffffffffe fffbbafffffffffffffffffffffe fffdcafffffffffffffffffffffe ffffaffffffffffffffffffffffe fffcaffffffffffffffffffffffe eeeaeeeeeeeeeeeeeeeeeeeeeeef ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#0807fdff b,#fd0708ff c,#5958fdff d,#feadaeff e,#7d0e8fff f,#fc5053ff g,#acaafcff ``` ```image cac b gaa fb cac fbb aag dbbd cac dbbf aag bbf gaa fbb aag fbb gaa dbbd aag dbbd gaa bbf cac fbb gaa fbb cac dbbd aag dbbd cac bbf aag fbf gaa fbb aag dbbd gaa dbbd aag bbf gaa fbf cac fbb gaa dbbd cac dbbd aag bbf cac bbf aag fbb gaa dbbd aag dbbd gaa bbf aag bbf gaa fbb cac fbbd gaa dbbd cac dbbf aag bbf cac fbb aagfbbd gaadbbd aagbbf gaabbf caebb gaabbd caebd gaabf caef aaf eaa daag deaa baag feaa fbaac dbbaa dbbcac bbfaa fbfcac dbbdaag ddcac aag gaa aag gaa ```  There's no doubt about it - this is an intersection in area A. Moving on to the next area. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#0504fdff b,#fe0404ff c,#8383ffff d,#feb4b4ff e,#4038f6ff f,#f74850ff g,#c9c9ffff ``` ```image caa eae gaac caag eae gaac caag eae gaac caag eae aac caag eae dddddd aac bbbbbbbbbbbbbbffffaafffdddddddddd fffbbbbbbbbbbbbbbbeaabbbbbbbbbbbbbbbbb ddddddddaaeffffffffbbbbbbbb gaag cae aac gaag caa eac gaag caa eae gaag caa eae gaac caa ```  I observe an intersection inside area B. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0707ff c,#7d7dfeff d,#feaaabff e,#3d3cfdff f,#fd5152ff g,#bfbfffff ``` ```image g ca aga ga ac ag a a ga ag ec a a ec ga a ee ce a a ga ce ee a ag ga a ag ee a ag ag a a ce ec ag a a ce ca a ag ca a a ca ga ac ag a a ca ag ac a a ec ga a bbbbbbffffdddd ac ce b dddddffffbbbbbbbbabbbbbbbbbbfffffdddd a bd ga dddddffffbbbb ca ff ac a db a ga b ga ag b ee a bd a ag bf ga a db ee ec b a a b ga ce bd ee a bf ag ca fb a a db ee ga b ag ag bd a a bf ca ag fb ag a db a ec b ca a bd ag ce bf a a fb ca ga db ac a b a ga bd ca ag bf ac a fb a ac db ga a b ac ec bd a a bf ga cefb e adb gab abd gaf af da ac ba bec ffa dce a ga a ```

I'm approaching this image with caution. Intersections might be tricky to spot. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#ee6863ff b,#0302fdff c,#fc0909ff d,#4134e2ff e,#9bc494ff f,#b2d7b1ff g,#98a3e6ff ``` ```image a c ca c c fc c ac c aa c ca c c fc c ac c aa c ca c cf fc c ac c aa c ca c cf c c ac c ac c ca c ca c c fc c ac d c bd aa gbg c db ca bd c gbg c db fc bd c gbg ac db c bd aa gbg c db eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeca bd ffffffffffffffffffffffffffffffffffffffffffffffce gbg fffffffffffffffffffffffffffffffffffffffffffffcee db ffffffffffffffffffffffffffffffffffffffffffffecfe bd ffffffffffffffffffffffffffffffffffffffffffffcffe gbg fffffffffffffffffffffffffffffffffffffffffffacffe db ffffffffffffffffffffffffffffffffffffffffffffcfffe bd ccaffffffffffffffffffffffffffffffffffffffffacfffe gbg faccefffffffffffffffffffffffffffffffffffffcffffe db bbbgeccaffffffffffffffffffffffffffffffffffcaffffe bd fgbbbgaccefffffffffffffffffffffffffffffffcfffffebg ffffgdbbdccaffffffffffffffffffffffffffffcaffffdb ffffffffdbbdcceffffffffffffffffffffffffecffffbbe fffffffffffdbbdcaffffffffffffffffffffffceffgbgfe ffffffffffffffdbbdceffffffffffffffffffacffdbfffe fffffffffffffffffgbbbaffffffffffffffffcffbbffffe ffffffffffffffffffffgbbbdffffffffffffacgbgfffffe fffffffffffffffffffffffedbbdfffffffffcdbfffffffe ffffffffffffffffffffffffffadbbdfffffcbbffffffffe ffffffffffffffffffffffffffffecdbbdfgbgfffffffffe fffffffffffffffffffffffffffffffacdbbaffffffffffe fffffffffffffffffffffffffffffffffeccfffffffffffe fffffffffffffffffffffffffffffffffffffffffffffffe fffffffffffffffffffffffffffffffffffffffffffffffe fffffffffffffffffffffffffffffffffffffffffffffffe ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fb4e52ff b,#0905fbff c,#fc0609ff d,#5954faff e,#800c8aff f,#fca9acff g,#aeacfdff ``` ```image f c fc cc aca ccf aca fccf aca fcc ccf fcc ccf f acc ccf ccf ccccaf aca faccccf fccf faccccaf aca bbdg faccccf fcc bbbbbdg faccccaf cca gdbbbbbdg faccccf fcc gdbbbbbdgfaccccaf ccf gdbbbbbdgfaccccf acc gdbbbbbddaccccaf ccf d gdbbbbbdaccccf aca gbb gdbbbbbeecccaf fccf gbbb gdbbbbbeecccf aca dbbd gdbbbbbeeccaf fcc gbbbg gdbbbbbbeccf aca gbbbg gddbbbbbecaf fcc dbbd gdbbbbbeaf ccf gbbbg gdbbbbbeef fcc gbbbg gdbbbbbee ccf dbbd gdbbbbbdg aca gbbbg gdbbbbbbg ccfgbbbg febbbbbbdg acadbbd feebbbbbdg fccbbbg faeebbbbbdg aebbbg faeebbbbbdg febbd faccebbbbbdg gbbbg faccebbbbbdbbbg facccebbbbef faccceea facccf ff ```  My investigation has led me to an intersection in area A! Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#fc5e60ff b,#0202feff c,#fe0708ff d,#3c3cffff e,#5807adff f,#fdb7b9ff g,#aba9fcff ``` ```image a c cf fc cf fc c ac c aa c cf c cf fc c ac c aa c ca c cf fc c fc c aa c ca c cf fc c fc c aa c ca c cf fc cf fc c ac d c bd aa gbg c db cf bd c gbg cf db fc bd c gbg ac db c bd aa gbg c db ca bd c gbg cf db fc bd c gbg fc db f c bd cca aa gbg accf c db bbbgfcca ca bd gbbbgaccf c gbg gdbbgcca cf db dbbeccf fc bd dbbeca c gbg gbbecf fc db gbbba c bd gbbbg aagbg febbg cdb aebbd cbb fcebbd gbg acebbf fcc ```

I'm examining this image closely. My goal: find any and all intersections. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0808feff c,#fa9f9cff d,#5e61f9ff e,#add4adff f,#b0b0ffff g,#f93f41ff ``` ```image f bbbbf db fbbbd bb dbbd dbf dbbd bb fbbbf fbf fbbbf bb fbbbd fbd dbbd bb dbbd bd fbbbf db fbbbf bb fbbbd dbf dbbd bb dbb fbf eeeeeeeeeeeeeee bb eeeeeeeeeeeeeeebd eeeeeeeeeeeeebb eeeeeeeeeeeebde eeeeeeeeeedbeee eeeageeeebbeeee eeeeaeedbeeeeee eeeeeabbeeeeeee eeeedbgeeeeeeee eeebbeaceeeeeee eeeeeeeaeeeeeee eeeeeeecaeeeeee eeeeeeeeageeeee eeeeeeeeeaeeeee eeeeeeeeeeaeeee eeeeeeeeeegaeee eeeeeeeeeeeacee a ca ag a a ga ac a ca gg a a ga ac a ca gg a a ga ac a ca gg a a ca ac a ca gg ac a ca ac a ca ggc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaa ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#fe0b0bff b,#0604fdff c,#ffbebeff d,#847ff9ff e,#3d3dfeff f,#c7c7ffff g,#f66169ff ``` ```image f db febb dbbbf febbe dbbbd c ebbef caa fbbbd aag ebbef caac fbbbd gaa dbbef aag febbd caadbbbf gbbbe dbbbg ebbeaag fbbbd caac bef gaa f aag caag caac gaa aag caac gaa aag caag caac gaa aag ```  Yes! I knew it! There's an intersection right here in area A! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#fe0404ff b,#0303ffff c,#ffa1a1ff d,#8686ffff e,#3a3affff f,#ded4f5ff g,#fc4244ff ``` ```image f fbbbbd ebf febbd be febbd dbf dbbef bb dbbef dbd dbbbd bb febbd fbd febbd eb dbbef fbe dbbef ebf dbbbd be febbd dbf febbd bb dbb dbd bb fbd eb fbe f ebf ag be a dbf fabb dbg bb ac f a ca ag a fa ga ac a ca ag af fa ga ac a ca ag af a ga ac a ca gg af a ga ac a ca gg af a ca ac a ca gg ac a ca ac a ca ggc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaaagc cgaa ```

Here's an image. My task is to find intersections or areas where lines come close together. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#4047f1ff b,#fd0a09ff c,#0707fdff d,#f06a64ff e,#8890efff f,#b2d6b1ff g,#99c596ff ``` ```image e c ce ec c aa c c ec c c ce ec c c c c ec ce c c ce aa c c c ec aa c c c ce ce ec c c aa aa c c ec ce c ec c c ce aa c c ea ce c ec ec c ce aa c c ae c c ec ec c c ce c c ce c c ec aa c c ce ec c c c gcgggggggggggggggggggggggggggggacf fceffffffffffffffffffffffffffffcfg ffcfffffffffffffffffffffffffffcefg ffaafffffffffffffffffffffffffecffg fffcfffffffffffffffffffffffffcfffg fffecffffffffffdbfffffffffffaafffg ffffcgfffffffgbbgbdfffffffffcffffg fffffcffffffbbffffbbgffffffceffffg fffffcafffdbdfffffffbbffffecfffffg ffffffcfgbbffffffffffdbgffcffffffg ffffffacbffffffffffffffbbaaffffffg fffffdbcffffffffffffffffdcdffffffg fffgbbfecfffffffffffffffcebbfffffg ffbbgfffcefffffffffffffecffdbdfffg dbdffffffcfffffffffffffcfffffbbffg bbffffffffcafffffffffffaaffffffgbdg bbfffffffffffcfffffffffffcfffffffffbb dbd ffffffffffacfffffffffceffffffffffgbb bb fffffffffffcffffffffecfffffffffffg dbf bb fffffffffffecfffffffcffffffffffffg bb dbd ffffffffffffcefffffcaffffffffffffg dbd bb fffffffffffffcfffffcfffffffffffffg bb bbf gggggggggggggaagggcggggggggggggggf dbd dbd c ec bb bb ec c fbd dbf cce bb dbd c bd d db bb dbf bb dbd bb fb ```  My goal is to determine if there's an intersection inside area A.  ```palette Key,Color ,#fefefeff a,#3e3bfcff b,#fe0809ff c,#0504feff d,#f95c61ff e,#8080feff f,#febabaff g,#c6c6feff ``` ```image gccg eca eca gccg cce aca ecc ecc ace cce gccg eca aca gccg gccg ace eca ecc cce ff cce ecc dbbd aca ace fbbbbbbf gccg gccg fdbbbffbbbd ace aca dbbbf dbbbf ecc gccg fbbbd fdbbdf gcce ecc fdbbbf fbbbd aca cce dbbbd dbbbf gccg gcc fbbbd fbbbd ace aca fdbbbf dbbbf ecc gccgdbbbd fbbbd gccg eccbbd dbbbfaca fdccdf fbbbccg dbbdcc dccaf fbbbdface eccbbdf fdbbbf gccg gccgfbbbd dbbbd aca aca dbbbf fbbbdf gccg gccg fbbbd dbbbf eca cce dbbbf dbbbd cce eca fbbbd fbbbdf ecc gccg dbbbf bbbf ace aca fbbbd bd gccg ecc dbb f aca cce fb gccg eca eca gccg cce aca ecc ecc ace cce gccg aca aca gccg gccg ace eca ecc cce cce ```  An intersection is present within area A. My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#4444feff b,#ff0b0bff c,#0606feff d,#fe6d6dff e,#8787ffff f,#ffc5c5ff g,#cacafeff ``` ```image e c cg ec c aa gc cg ec c c ce ec gc cg cg gc ec ce c c ce aa gc c c ec aa cg c gc ce ce gc c c aa aa c c ec ce cg gc c c ce aa c c ea cg c ec gc c cg aa c c ae cg c ec ec c c ce gc gc ce cg c ec aa c c ce ec gc cg cg gc ea ce c c ce aa gc c c ec db aa cg fbbfbd c gc bb bbf ce ce dbd fbb gc c fbb dbf c acbf bbaa dbc dcd fbb gc cgbb bbf cg ec fbd dbd c c bb fbb ae aa fbd bbf c c bbf dbd ea cg fbb bb c ec dbf bbf gc c bb dbd cg ae dbf bb c gc bb bbf aa cg dbd fbd c ec bb bb ec c fbd bbf cce bb fbd gc fbd d dbf bb dbf bb dbd bb fb ```

Let's examine this image for potential line intersections. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#fe0808ff b,#6062faff c,#ffb5b5ff d,#0808feff e,#afb0fcff f,#f6615dff g,#aed5aeff ``` ```image c faaaac ca cfaaaf a cfaaafc af faaafc fa caaaac a cfaaaf ac faaafc fa caaaac ca cfaaaf a cfaaafc af fa ca a ac fa ca a af ca a ac fa ca a af ca a ac fa ca a af ca a ac fa a gggggggggggga gggggggggggaf ggggggggggfa ggggggggggag gggggggggafg ggggggggfagg ggggggggaggg gggggggagggg ggggggafgggg gggggfaggggg gggggagggggg ggggafgggggg gggfaggggggg gggfgggggggg gggggggggggg gggggggggggg gggggggggggg bdddd gggggggggggg bdddb bdb gggggggggggg edddb dde gggggggggggg edddbe dd gggggggggggg bddde edb gggggggggggg bdddb bde gggggggggggg edddb dd gggggggggedddbe edd ggggggbdddbg bdb gggdddbggggg dde dd edb bde dd edd bdb dde dd edb bde dd edd bdb dde dd ed ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#ff0707ff b,#5454ffff c,#ff9191ff d,#0505ffff e,#a4a4ffff f,#ff4d4dff g,#ffceceff ``` ```image f ca gaa faf caag gaac aaf faa caag gaac faf caag gaac aaf faa caag gaac faf caag gaac aaf faa gaag fc ebbd eebddddd ebddddddbe ebddddddbe ```  I had hoped to find an intersection in area A, but there isn't one. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff0707ff b,#4a4affff c,#ff9a9aff d,#0505ffff e,#9898ffff f,#ff5454ff g,#efd7e6ff ``` ```image g faaaac ga cfaaac a gfaaafg ac caaafc ca caaaac a gfaaafg ag gfaaafg ff caaaac ga cfaaac ag gfaaafg af ca ca a ac ff ga ag af ca a ac fa ga ag af ca a ac fa ga ag af ca a ac fa ga ag af ca a ac fa ga ag af ca a ac fa f gbdddb eddde bde edddbg ddg ebddbg gdd gbddde edb eddde bde edddbg dd ebddbg edb gbddde bde ddde ddg gdd edb bde dd edb bde ddg gdd edb bde dd edb bde ddg gdd ed ```

Time to put on my detective hat and find those intersection points! I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#0a0afeff b,#fe0808ff c,#f8a6a3ff d,#b6b7feff e,#afd6b0ff f,#f86763ff g,#6164f9ff ``` ```image d ga ga ga da a da gad da eeeeeaaeeeeee ad eeegaeeeeeeee ad eeaaeeeeeeeee ad gageeeeeeeeee ag aaeeeeeeeeeeee ag dageeeeeeeeeeeee aa aa eeeeeeeeeeeee aa dag eeeeeeeefeeee aa aa eeeeeeeebeeee ga ag eeeeeeebceeee ga ga eeeeeefbeeeee ga aa eeeeeebeeeeee da gad eeeeebceeeeee da aa eeeefbeeeeeee dad gad eeeebeeeeeeee ad aa eeebceeeeeeee ad dad eefbeeeeeeeee ag aa eebeeeeeeeeee ag dag ebceeeeeeeeee ag aa fbeeeeeeeeeee aa dag b aa aa bc aa ag fb ga ga b ga aa bc da gad fb da aa b dagad bc a fb b bc cb b bc cb b bc cb b bc cb b bc cb b bc cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bbbbffc bf cfbbbbbbbfcc cb ccfbbbbbbbfcc b ccfbbbbbbbfc bf cffbbbb ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#3b3bffff b,#ff0b0bff c,#ffbabaff d,#c9c9ffff e,#0404ffff f,#ff6a6aff g,#8282ffff ``` ```image deeeg geead daeeg geeed daeea geeed daeea geeeg aeead eeg ad c cbb bbf fbb cbbc bbf fbb cbbc bbf fbb cbbc bbf fbb cbbc bbf fbb cbbc bbf fbb cbbc bbf fbb cbbc bbf fbb ```  The lines within area A do not intersect. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#3535ffff b,#ff0808ff c,#ffb1b1ff d,#c0c0ffff e,#0303ffff f,#ff6e6eff g,#7676ffff ``` ```image d ae ge ge de e de ged ded ea ed ged ed ee eg ged eg ee ea deg ea ae ea deg c ae ae b ae dea bc ge ae fb ge ea b de ged bc de ea fb ded ged b ed ee bc ed ged fb eg ee b eg deg bc ea ae fb ea deg b ae ae bc ae dea fb ae aed b ge ea bc ge ged fb de ea b deged bc de fb b bc fb b bc fb b bc cb b bc cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bf cb b bbbbffc bf ccfbbbbbbbffc cb ccfbbbbbbbfcc b cffbbbbbbbfcc bf cffbbbb ```

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,#e16b61ff b,#0202feff c,#b0d6b0ff d,#838fdfff e,#3138f1ff f,#fb0a09ff g,#eff3efff ``` ```image g fa fg gf fa f cf fa f af fa f af fc f af fg gf af fg gf aa fg gf fa fg gf fa f cf ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg facccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg fcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg afccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg facccccccccccccccccccccccccccccccccccccccccccccccccccccccccg cfcccccccccccccccccccccccccccccccccccccccccccccccccccccccccg cafccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ccfaccccccccccebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeeeeg cccfcccccccccdbccccccccccccccccccccccccccccccccccccdddddddag cccafccccccccbcccccccccccccccccccccccccccccccccccccccccaffcg ccccfaccccccbccccccccccccccccccccccccccccccccccccccccffacccg cccccfcccccbdcccccccccccccccccccccccccccccccccccccaffccccccg cccccafcccbeccccccccccccccccccccccccccccccccccccfffccccccccg ccccccfccebccccccccccccccccccccccccccccccccccaffaccccccccccg cccccccfdbcccccccccccccccccccccccccccccccccfffcccccccccccccg cccccccabcccccccccccccccccccccccccccccccaffacccccccccccccccg cccccccbfcccccccccccccccccccccccccccccaffccccccccccccccccccg ccccccbdcfccccccccccccccccccccccccccffaccccccccccccccccccccg ccccceeccfaccccccccccccccccccccccaffaccccccccccccccccccccccg ccccdbccccfccccccccccccccccccccfffcccccccccccccccccccccccccg cccdbccccccfccccccccccccccccaffacccccccccccccccccccccccccccg cccbcccccccfacccccccccccccaffccccccccccccccccccccccccccccccg ccbdccccccccfcccccccccccffaccccccccccccccccccccccccccccccccg cbecccccccccafcccccccaffcccccccccccccccccccccccccccccccccccg ebcccccccccccfaccccffacccccccccccccccccccccccccccccccccccccg dbcccccccccccccfcaffacccccccccccccccccccccccccccccccccccccccg gbccccccccccccccaffccccccccccccccccccccccccccccccccccccccccccg bgcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg bd cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ee cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg db cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg gb ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg gb bg bd ee db gb bg bd be eb db gb bg bd ee db gb bg bd ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#ff3f3fff b,#0605feff c,#fe7d7eff d,#b0b0feff e,#5350fcff f,#fe0405ff g,#ffc1c1ff ``` ```image c fg fa ffc cffg afa gffc cff afa bbbbbbbbbbbbbbbbbbeeeeeeeeeeeeeeeeeeeedddddddddddddddddd gffg ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeeeeeee afa dbbd dddddddddddddee gffg dbbd cfff cff bbe gaffffc afc bbe cafffag gffg ebb gcffffcg cff ebbd gafffac ffc dbbd gcfffag gffg dbbe gafffc cfa bbe cffffa ffc ebb gaffffcg gff ebb cafffac af dbbd gcffffcg fcdbbd gafffac gfbbe cffffag bbe gaffffc bbc cafffag ebffg gcffffcg dbdafa gafffac dbb gffc gcfffag bbe cff gafffc ebe afa cffffa ebb gffg gaffffcg ebbd cff cafffag dbbd afa gcffffcg dbbe gffg gafffac bbe cff cffffag ebb afa gaffffc ebbd gffg cafffag dbbd cff gcffffcg bbe gffg gcfffag bbe cfa gafffc ebb ffc cffffa bbd gffg gaffffcg bd afa cafffag e ffaffffcg gfffac cag ```  I observe an intersection inside area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#fa3e43ff b,#0303ffff c,#ff8282ff d,#a9a7fdff e,#4545ffff f,#fe0506ff g,#ffc5c5ff ``` ```image g aa f gf fc f gf fc f cf fc f cf fg f cf fg f aa fg f aa fg gf aa f gf fc f gf fc f cf fc f cf fg ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeee f db ddddddda cf b affg fg b gffc f bd cffg aa be ffa fg eb cffc fdb afa ab gffc bfg cffg bdgf gffa ee aa cffg db f afa db gf gffc b aa affg bd f gffc be gf cffg eb fc ffa db f cffc b gfa b bd be eb db b bd be ee db b b bd be eb db b b bd ee db db b bd ```

This image might have some surprises. Let's look for intersections carefully. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#ff4d4dff b,#0b0bfeff c,#c4c4feff d,#fc9b99ff e,#696cfaff f,#afd4adff g,#ff0909ff ``` ```image c be bc b eb be b cb eb bc b cb be bc b eb be b cb eb bc b eb be bc bb cb fffffebefffff eb ffffbbfffffff bc ffbbfffffffff b ebeffffffffff cb bbffffffffffff be bbcfffffffffffff bc ebe fffffffffffff b bb fffffffffffff eb bbc fffffffffffff be ebe fffffffffffff b bb ffffffffgffff cb bbc fffffffgfffff eb ebe ffffffgffffff bc bb fffffgfffffff b bbc ffffgffffffff cb ebe fffgfffffffff be bb ffgffffffffff bc bbc fgfffffffffff b ebe gffffffffffff eb bb gdffffffffffff be bbc gdfffffffffffff ga b ebe gd fffffffffffff ga cb cbb gd fffffffffffff gg eb bbc gd gg bebe gd ag b gd ag gd dg gd dg ga dg ga g ga gd ga gd ga gd ga ga ga ga ga ga ga gg ga ag gg ag gg ag gg dg ag dg ag dg ag g ag gd ag gd ag gd ag ga ag ga ag gg dg gg dg ag dg agdg dg ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#ff2f2fff b,#0404ffff c,#ffdadaff d,#c5c5ffff e,#9494ffff f,#4848ffff g,#ff0808ff ``` ```image ebbbf dfbbfd fbbbe ebbbf dfbbfd fbbbe ebbbf fbbfd bbe f c cga cgga cgga cggac cagac cagac cagac cagac cagac cagac caggc aggc aggc aggc aggc aggc aggc aggc ggc gc c ```  After careful examination, I've determined that there's no intersection in area A. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff4545ff b,#0404ffff c,#e5d5efff d,#ff9191ff e,#7f7fffff f,#3434ffff g,#ff0707ff ``` ```image c ff bc b eb be bc cb ff be b eb ff bc cb eb be b cb ff bc b eb be bc fb cb ebe eb cbb be fbc b ebe cb cbb ff fbc bc ebe b cbb eb fbc be ebe bc cbb cg cb fbc cg ff ebe cgc be cbb cgc b fbc gc eb ebe gc ff cbb gc bc fbc gc cb ebe gc eb cbb gc be fbc gd ga b ebe gd ga cb cbb gd gg ff fbc gd ag bebe gd ag f gd ag gd dg gd dg gd cg ga cgc ga cgc ga gd ga gd ga ga ga ga ga ga ga gg ga ag ga ag gg dg ag dg ag dg ag cgc ag cgc ag gd ag gd ag gd ag ga ag ga dg gg dg ag dg ag dg agdg dg ```

The hunt for intersections begins! Let's analyze this image closely. There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#fc0c0bff b,#0707fcff c,#97c597ff d,#b4b5feff e,#b1d6b0ff f,#4f58ebff g,#ef726aff ``` ```image aa gaga a a a ga ag a aa a ga ae a a f a ag fb ag a fb b ga gg fb db ga a fb fb a ga fb bf ccccccccccccccce a a db bf eeeeeeeeeeeeeeec ag a db bd eeeeeeeeeeeeeeecga ae db b eeeeeeeeeeeeeeeca a db dbeeeeeeeeeeeeeeea ag db dbeeeeeeeeeeeeeac a db fbeeeeeeeeeeeagc gaccccccccccccccc b ebfeeeeeeeeegaec aeeeeeeeeeeeeeee b eebfeeeeeeecaeec gaeeeeeeeeeeeeee b eeebceeeeeeaeeec caeeeeeeeeeeeeee bd eeeebeeeeeageeec cgaeeeeeeeeeeeee bd eeeecbeeeaaeeeec ceaceeeeeeeeeeeebd eeeeefbegaeeeeec ceeaeeeeeeeeeeebd eeeeeebbaeeeeeec ceeageeeeeeeeebf eeeeeeebfeeeeeec ceeeaeeeeeeeebfe eeeeeeagbceeeeec ceeeageeeeeebfee eeeeeaaeebeeeeec ceeeeaeeeeebfeee eeeegaeeecbeeeec ceeeegaeeebfeeee eeeeaeeeeefbeeec ceeeeeaeebfeeeee eeeaeeeeeeefbeec ceeeeegabfeeeeee eeageeeeeeeebfec ceeeeeebbeeeeeee eaaeeeeeeeeeebfc ceeeeebbaeeeeeee gaeeeeeeeeeeeebc ceeeebbeageeeeee aeeeeeeeeeeeeeeb ceeebbeeeaeeeeee aceeeeeeeeeeeeeecb ceefbeeeeageeeee ageeeeeeeeeeeeeeecfb cefbeeeeeeaeeeee ga eeeeeeeeeeeeeeec bf cfbeeeeeeegaeeee ea eeeeeeeeeeeeeeec bf fbeeeeeeeeeaeeee a ceeeeeeeeeeeeeec bd dbeeeeeeeeeegaeee a b dbceeeeeeeeeeeaeee ag db db ceeeeeeeeeeecaee ga db db ceeeeeeeeeeeeage g fb db ceeeeeeeeeeeeeae bf db ceeeeeeeeeeeeeag bd db ceeeeeeeeeeeeeea b b gg b b a db b ga fb bd a bbd ea ae a ag a gg a ga a ea a a ag a ag a ga a ga a a ag a ag a ga a ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#f8444bff b,#0505feff c,#fe0606ff d,#9594feff e,#ff9696ff f,#4643fbff g,#e9d5ebff ``` ```image g f a bd ac bbd ecc fbbg gcce fbbg gcca fbf aca gbbf accg gbbd ecce dbbd gcce dbbg gcca fbbg acc fbf eccg gbbf ecce gbbf gcce dbbd cca dbbd acc fbbg eccg fbbgecce fbfcce gbbfa abbd ecabbd eccedbbg gcca fbbg aca fbf accg gbbf eccg gbbf gcce dbbd gcca dbbd aca fbbg accg fbbg ecce fbf gcce gbbf gcca gbbd aca dbbd accg dbbg ecce fbb gcce fb cca gb cc g cg e ```  The lines cross each other within area A, forming an intersection. Alright, let's concentrate on the next area. I'm determined to find out if an intersection exists in area B.  ```palette Key,Color ,#fefefeff a,#fe3e3fff b,#0807fdff c,#fe0505ff d,#b0affeff e,#fdbfc1ff f,#6060ffff g,#ff8484ff ``` ```image ca cce gca cce gcc ccg gcc acg ecce aca ecce aca cce f gca fb ccg fbb gcc fbbd acg fbbd ecc dbbf aca dbbf ecce dbbf aca dbbf ecce dbbf gca dbbf ccg dbbf gcc dbbf acg dbbf eccdbbf acbbf ebbb bbba bbbcce bbb gca bbb ccg bbb gcc fbbd ccg fbbd ecc fbbd acg fbbd ecce fbbd aca fbbd ecce fbbd gca fbbd cce fbbd gcc fbbd ccg bbd gcc bd acg f ecce aca ecce aca cce gca ccg gcc ac ec a ```  Gotcha! I've found the intersection hiding in area B! There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#ff3434ff b,#0807feff c,#ff0303ff d,#b3b3ffff e,#ffb9b9ff f,#5857feff g,#ff7474ff ``` ```image e ac gcga c c c ec cg c aa ec ec ce c c f ce ag fb cg c fb b aa ga fb db ec c fb fb c gc fb bf ce c db bf cg ec db bd gc ce db b ec c db db c ag db db ce c db fb cg aa b bf gc c b bd ec ga b b c c bd b ce ec bd db aa ce bd fb gc c bd bfc cg bd bf c bd cebd ag bf aa b c bf gc db ga bf c db c bf c fb ecbf cg bf bb aa bd bbc ec b bb ce c b fb c ce db fb ag cg fb fb c aa bf fb ga ec bf fb c c bd fb ec ce b db c cg db db ec gc db db ce g fb db c bf db ag bd db c b b ga b b c db b gc fb bd c bbd ec ce c ag c aa c ga c ec ce c cg c ag c ga c ec ce ec ce c ag c ga c ```

This image seems promising for intersection detection. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0707fdff c,#f35f59ff d,#4e51f4ff e,#a6a8faff f,#add4adff g,#ffb5b5ff ``` ```image fffffffffffffcac bb fffffffffffffafac ebbe fffffffffffffaffaa bbd ffffffffffffafff ca dbd ffffffffffffafff ca ebb fffffffffffacfff ga ebbe fffffffffffaffff ag bbd ffffffffffacffff ag dbb ffffffffffafffff ac ebbe fffffffffccfffff aa bbdffffffffaffffff aa dbbfffffcaffffff ca ffdbbfffafffffff ga fffffbbdafffffff gag fffffffbbdffffff ag fffffffafdbbffff ac ffffffacfffebbef ac ffffffafffffffbd aa fffffacffffffffbb ca fffffaffffffffffdb ca ffffccffffffffff db ga ffffafffffffffff eb ag fffcafffffffffff be ac fffaffffffffffff bd ac fffaffffffffffff bd aa ffafffffffffffff bb ca ffafffffffffffff db ca facfffffffffffff eb ga faffffffffffffff ebe gag cc be ag a bd ac cc bb aa a db aa ga eb ca a eb ga ga be gag ag bd ag a bb ac ag db a a db cc eb a be cc bd a bd ga bb a db ga eb ag ebe a be ag bd a bb cc db a eb cc eb a b ga a ga ag a ag a cc a cc a ga a ga ag a ag a cc a cc a ga a ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0504fdff c,#ff9494ff d,#514dfbff e,#9d9afbff f,#fc4c4eff g,#f4d6e1ff ``` ```image aac caaa aafa caa c fac gaag faf gaag faf gaag caf aac caa aac caa fac gaag faf gaag faf gaag bdg caf bbbde aac edbbbde caa gdbbbbe aac ebbbbdg caa edbbbde fac gdbbbbeaag gebbbbdg ebbbbde fafdbbbde gaag gdbbbbe caf ebbbbdg aac edbbbde caa gdbbbe aac dbb caa eb fac e gaag faf gaag faf gaag caf aac caa aac caa fac gaag faf gaag faf gaag caf aac caa ```  Aha! I've found an intersection inside area A! The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0807feff c,#ff8181ff d,#5e5dfdff e,#b8b8ffff f,#ff4040ff g,#ffc2c2ff ``` ```image g cac bb a af ebbe ga aa ebbd ag fa dbd a ca dbbe ag ga ebbe a gag bbd fc ac dbb a af ebbe cf af bbd a fa dbb cf fa dbbe a ca ebbda gag bbd ag a dbb ac ag ebbe af a bd aa fc bb fa a db ca cf db gag a eb ag ca be ac a bd af ga bd aa ag bb fa a db ca ag eb ga a ebe gag fc bd ac a bd af cf bb af a db fa ca db fa a ebe ca ga be gag ag bd ag a bb ac ag bb a a db fc eb a be cf bd a bd ca bb a db ga eb ag ebe a be ac bd a bb fc db a db cf ebe a b ca a ga ag a ac a fc a cf a ga a ga ag a ac a fc a cf a ga a ```

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,#ed433eff b,#0c0bfaff c,#fe0605ff d,#99c698ff e,#b1d7b1ff f,#dd9282ff g,#707de1ff ``` ```image fcf c cf deeeeeeeeeeeeeeeeefcedcfeeeeeeeeeeeeeeeeeeeeeeeed eeeeeeeeeeeeeeeeeecdeeecfeeeeeeeeeeeeeeeeeeeeeeed eeeeeeeeeeeeeeeeeeceeeeecfeeeeeeeeeeeeeeeeeeeeeed bb eeeeeeeeeeeeeeeeecfeeeeeecfeeeeeeeeeeeeeeeeeeeeed bbe eeeeeeeeeeeeeeeeeceeeeeeeecdeeeeeeeeeeeeeeeeeeeed bbg eeeeeeeeeeeeeeeeaaeeeeeeeeecdeeeeeeeeeeeeeeeeeeed bbg eeeeeeeeeeeeeeeeceeeeeeeeeeecdeeeeeeeeeeeeeeeeeed gbg eeeeeeeeeeeeeeeaaeeeeeeeeeeeeceeeeeeeeeeeeeeeeeed gbg eeeeeeeeeeeeeeeceeeeeeeeeeeeeeceeeeeeeeeeeeeeeeed gbb eeeeeeeeeeeeeefceeeeeeeeeeeeeedceeeeeeeeeeeeeeeegbb eeeeeeeeeeeeeeceeeeeeeeeeeeeeeedceeeeeeeeeeeeegbb eeeeeeeeeeeeefceeeeeeeeeeeeeeeeedceeeeeeeeeedbbed eeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeefceeeeeeeebbdeed eeeeeeeeeeeeeceeeeeeeeeeeeeeeeeeeefceeeeebbgeeeed eeeeeeeeeeeecfeeeeeeeeeeeeeeeeeeeeefceebbgeeeeeed eeeeeeeeeeeeceeeeeeeeeeeeeeeeeeeeeeefbbgeeeeeeeed eeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeegbgceeeeeeeeed eeeeeeeeeeeceeeeeeeeeeeeeeeeeeeeegbbeefceeeeeeeed eeeeeeeeeeaaeeeeeeeeeeeeeeeeeeegbbeeeeefceeeeeeed eeeeeeeeeeceeeeeeeeeeeeeeeeeegbbeeeeeeeefceeeeeed eeeeeeeeefceeeeeeeeeeeeeeeedbbeeeeeeeeeeefceeeeed eeeeeeeeeceeeeeeeeeeeeeeeebbdeeeeeeeeeeeeefceeeed eeeeeeeefceeeeeeeeeeeeeebbgeeeeeeeeeeeeeeeefceeed eeeeeeeecdeeeeeeeeeeeebbgeeeeeeeeeeeeeeeeeeeaceed eeeeeeeeceeeeeeeeedgbbgeeeeeeeeeeeeeeeeeeeeeeaced eeeegggbbbbbbbbbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeacd gggbbbbbbbbbbbbbgagdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeac bbbbbbbggg eeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeac eeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedac eeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ac eecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca eeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca eaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca eceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca aaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca ceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ca fcddddddddddddddddddddddddddddddddddddddddddddddde c c c c c cf c af c fa c fc c c c c cf c af c fa c fc c c c c cf c af c fa c fc c ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#fd383aff b,#0907fdff c,#fe0404ff d,#ffc4c4ff e,#afaffeff f,#ff7c7cff g,#5d58faff ``` ```image dcc accd acf accd dcc accd acf accd dccd accd fca accd ccd accd fca accd ccd accd fca accd acf accd dcc accd acf accd dcc accd acf accd dccd acad fca aca ccd aca fca daca ccd dcca fca dcca acf dcca eb dcc dcca egbb acf dcca egbbbg dcc dcca gbbbg acf dcca gbbbg dccd dcca gbbbge fca dcca gbbbge ccd dcca ebbbbe fca dcca ebbbbe ccd dcca ebbbbe fca dccaegbbbe acf dabbbbg dcc egbbbg acf gbbbgcca dcc gbbbge dccf acf gbbbge dccf dccd ebbbge dccf fca ebbbbe dccf ccd ebbbbe dccf fca ebbbbe fccf ccd egbbbg fccf fca egbbbg fccf acf gbbbg fccf dcc gbbbg fccf acf gbbbge fccf dcc gbbbge fccf acf ebbbbe fccf dccd ebbbbe fccf fca ebbbbe fccf ccd eeeegbbbe fccf fca eeeegggggbbbbbbbbbbbg fccd eeeeeggbbbbbbbbbbbbbbbbbbbbbbbbggg fccd gggbbbbbbbbbbbbbbbbbbbbbbggggeeeee fcc bbbbbbbbbbgggggagee fc eeeee dcc f acf dcc acf dccd fca ccd fca ccd fcc acf dcc acf dcc acf dccd fca ccd fca ccd fcc acf dcc acf dcc acf dccd fca ccd fca ccd ```  Incredible, there's actually an intersection in area A! After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#fb3a3dff b,#0b09fcff c,#ff0505ff d,#ffc9c9ff e,#bbbbffff f,#ff8484ff g,#6967fdff ``` ```image d fcd c cd dc cd cd cd e c cd bb cd cd bbe c cd bbe af cd bbg c cd gbg fa cd gbg c dc gbb fa dc ebb c dc ebb dc dc ebb cd dc bbe c dc bbe cd dc bbe c dbbg af gbgc c gbg dc fa ebb fc c ebb fc fc ebb fc c bbe fc dc bbe fc cd bbe fc c eebbg fc eegbbbbbbbbbbbbbg fc eegggbbbbbbbbbbbggaee fc bbbbbbgggee af ac c ac fa ac c ac fc ac c ac dc ac cd ac c ac cf aa c ca af ca c ca fa ca c ca fc c c dc cd c cf c af c fa c fc c dc cd c cf c af c fa c fc c dc cd c cf c af c fa c dc c ```

The hunt for intersections begins! Let's analyze this image closely. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff3d3dff b,#0707ffff c,#ffc2c2ff d,#afafffff e,#5c5cffff f,#ff8080ff g,#ff0404ff ``` ```image c gga ga ag gf cgf gf gg gf fgc gf ga gc ag gc cgf gc gg gc fgc gc ga cgc ag cg cgc cg ga cg ag cg cgf fg gg fg fgc fg ga fg ag ag cgf ag gg ag fgc ag ga ag ag ag cgf ga gg ga fgc ga ga ga ag ga cgc gf g gf gf gf d ebb bbe dbbd bbd ebb bbe bbe ebb dbbd dbbd ebb bbe bbe ebb dbbd dbbd ebb bbe dbbe ebbd ebbd dbbe bbe ebe dbbd ebbd ebbd dbbe bbe ebb dbbd dbbd ebb bbe ```

I'm approaching this image with caution. Intersections might be tricky to spot. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#4040ffff b,#ff0404ff c,#ffacacff d,#8686ffff e,#0505ffff f,#ff4e4eff g,#cacaffff ``` ```image c bb fbc cbf bb fbc cbf bb fbc cbf bb fbc bb bb cbf bb fbc cbf bb fbc cbf bb fbc cbf bb fbc cbf cccffbbbbbbbb ccfffbbbbbbbbbbffccc bbbbbbbbbbfffcc c a de de ge e eg eg a ed de ea ae aa ea ae ed de eg ge e ge ge eg de eg ae ed ea ea ed aa eg ae e de ge ge de ge ae e ea eg ed ed eg ed e ea ge ae de de aa de ea ge ed e eg eg e eg ge ed de ea aa aa ea ae eg de eg ge ge ge ge eg de eg aa ed ed ea eg ea eg ae gede ge ```

Let's examine this image for potential line intersections. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fd0b0bff b,#0a0bfdff c,#f86a68ff d,#686cf6ff e,#feb8b8ff f,#bfbffeff g,#acd3acff ``` ```image f cac bf a aa b ea aa bf a ca fb ea ea b ae eae fb a ac b ae ac db a aa b ac ca dd a ca b cc eae bd a ae b ca ac bf a aa b ea aa bf a ca fb ea ea b ae ae fb a ac b ae aa db a aa b ac ca dd a ea b cc eae bd a ac b ca ac bf a aa fb ea ca gggbggggggggagggg ca ggggbgggggggagggg eae ggggbggggggaggggg ae ggggdbgggggaggggg ac gggggbggggacggggg aa gggggdbgggagggggg aa ggggggbggacgggggg ca ggggggbdgaggggggg ea gggggggbacggggggg a gggggggbagggggggg gggggggcbgggggggg gggggggabgggggggg ggggggcagbggggggg ggggggaggbggggggg ggggggaggdbgggggg gggggaggggbgggggg gggggaggggdbggggg ggggaggggggbggggg ggggaggggggddgggg gggacgggggggbgggg gggaggggggggbdggg cc b a bf cc b a bf ca fb a b ea fb a b ea db ae b a dd ae b a bd ac b a bf cc b a bf ca fb a b ea fb a b ea dd fdbbbb ae b fdbbbbbdf a dd fdbbbbbdf ae b fdbbbbbdf a bd fdbbbbbdf ac b fdbbbbbdf e bf fdbbbbbdf bbbdf ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0808feff c,#fe7e7eff d,#6463feff e,#febebeff f,#c0c0ffff g,#f23744ff ``` ```image dbd gac fbbf eaa dbd gac fbb eaa bbd gac fbb eaae bbd cag fbb aae bbf cag dbb aae bbf cag dbd aae fbbf caa dbd gac fbbf eaa dbd gac fbb eaa bbdgac fbbaae bbgg dbbe cbbf agbb cagbbf aaedbd caa fbbf aac dbd eaa fbb gac dbd eaa fbb gac bbd eaa fbb gag bbf eaae dbb cag bbf aae dbd cag bbf aae dbd cag fbbf aac dbd eaa fbb ```  Aha! I've found an intersection inside area A! My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0a0afeff c,#fe8686ff d,#6d6dffff e,#ffc8c8ff f,#c0c0ffff g,#fc3d40ff ``` ```image e f cac bf a ag b ea ga bf a ga fb ea ca b ae eae fb a ac b ac ag db a aa b gc ga dd a ca b gg eae bd a ac b cg ag bf a ag b ea ga bf a ca fb ea eae b ae eae fb a ac b ae ag db a ga b gc ga dd a ca b gg eae bd a ac b cg ag bf a aa b ca ga bf a ca fb ea eae b ae ac db ea ag b ae ag dd a ga b gc ca dd a eae bgc ea bg cb abf cafb a b ea fb ae b ea db ae b a dd ac b a bd gc b a bf cg b a bf cg fb a b ea fb a b ea db ae b a dd ac b a bd gc b a bf gg b a bf cg fb a b ea fb a b ea db fdbbbb ae b fdbbbbbdf a dd fdbbbbbdf ae b fdbbbbbdf a bd fdbbbbbdf gc b fdbbbbbdf c bf fdbbbbbdf bbbdf ```

I'm curious to see if this image contains any intersection points. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#fc0a0aff b,#0708fdff c,#ef6961ff d,#5862ebff e,#b3b3feff f,#fec1c0ff g,#afd5afff ``` ```image f aa caca ca af fa fa a ac af a af ca ac a ca fa ca af fa a a cc e af a bd af fa b ac af eb aa a bdggggggggggggggg ca ac bggggggggggggggg fa a dbggggggggggggggfa ca gbdggggggggggggga af ggbggggggggggggaf fa ggdbggggggggggac ac gggbgggggggggaag a ggggbgggggggcagg ca ggggdbgggggcaggg a gggggbgggggagggg fa ggggggbgggaggggg af ggggggbdgagggggg a gggggggbacgggggg cc gggggggabggggggg a ggggggaabdgggggg fa gggggcaggbgggggg af gggggagggdbggggg a ggggagggggbdgggg ac gggagggggggbgggg a ggacgggggggdbggg ca gacgggggggggbdgg af aagggggggggggbgg fa caggggggggggggdbg ac faggggggggggggggbg a a gggggggggggggggb ca af gggggggggggggggdd a ggggggggggggggggb fa ggggggggggggggggeb af bd a b cc eb a bd fa b af eb a be ac b a db ca be af b fa db acgggggggggggggg be agggggggggggggg b caggggggggggggg dd gaggggggggggggg b ggagggggggggggg eb ggacggggggggggg bd gggaggggggggggg b gggcagggggggggg eb ggggagggggggggg bd ggggcaggggggggg b gggggacgggggggg eb ggggggagggggggg be ggggggacggggggg bbbde gggggggaggggggg dbbbde gggggggcagggggg ebbbbe ggggggggagggggg edbbbe gggggggggaggggg edbbbd gggggggggacgggg dbbbde ggggggggggagggg dbbbde ggggggggggggggg ebbbbdgggggggggggggg ebbbbdgggggggggg ggggdbbbdgggggg ggggggggdbbgggg ggggggggggggggg ggggggggggggggg ggggggggggggggg ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0606feff c,#ffa9a9ff d,#4a44f8ff e,#cbcafdff f,#8c8cffff g,#fc4e51ff ``` ```image f be bd bbf fbb dbd ebbe fbb g bbd ca ebbe caa dbb caag bbf aag ebbe aag dbd gaa bbf gaa fbbe gaac dbd caac ebbf caac fbbe caag dbd aag ebbf gaa fbb gaa dbd gaac ebbecaac fbbaac bbdg gbbe gadbb gaaebbf gaac ebbe caac dbd caac bbf caag fbbe aag dbd aag ebbf gaa fbbe gaac dbd caac ebbf caac fbb caag dbd aag ebbe aag fbb gaa bbd aa ebbe ac dbb c bbf ebbe dbd bb fb d e ```  I can confirm that an intersection exists in area A. Now, let's scrutinize the next spot. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0606ffff c,#ff8585ff d,#5a5affff e,#aaaaffff f,#ffc7c7ff g,#ff4444ff ``` ```image f a ac aaf gag faaf cag aac caa gag faaf gag aac caa gac faaf gag faaf caa aac faaf gag faaf cag aac caa gag faaf gag aac caa gac faaf gag faaf caa aac faaf gag fag f de bbbbdee ddbbbbbbdee eddbbbbbbdde eedbbbbbbdde edbbbbbbbde edbbbbd ede ```  This close-up reveals that there are no intersections in area B. I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#fe0606ff b,#0808ffff c,#ff8e8eff d,#6060ffff e,#b5b5ffff f,#ffcfcfff g,#fd4547ff ``` ```image f aa gaca ca af fa fa a ac af a ac gg ag a ga fa ca ac fa a a gg e af a bd ac ca b ag af eb gg a be ga gc b ca a db fa ca be af af b af fa db ac ac be ag a b ga gg dd ca a b fa fa eb a ac bd af a bac gg gb a gabd ca ca b af fa eb a a be gg af b a ac db ca ag be af ga b fa ca db ac fa be a fa b gg af dd a b fa eb ac bd a b gg eb a bd ca b af eb a be gg b a db ca be af b fa db ac be a b cg dd a b fa eb ac bd a b gg eb a bd ca b af eb a be gg bbbde a dbbbde ca ebbbbe af edbbbd fa edbbbd ac dbbbde a dbbbde f ebbbbe edbbbd edbbbd dbb ```

This is the image I'm working with. The goal is to count the intersections. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#f34843ff b,#090afdff c,#f09a93ff d,#b1d7b2ff e,#6970f2ff f,#95c798ff g,#fe0504ff ``` ```image c g gc g g cg g ca g aa g gc g gc cg g cg g aa g gc be g be gc bd cg b g b cg eb g eb aa bb g be ac bd g b gc b g db g eb cg bb g be aa be g b aa b g b gc eb g eb g be cg be fdddddddddddddddddddddddg bd fddddddddddddddddddddddag b fddddddddddddddddddddddgf b fdddddddddddddddddddddaaf eb fdddddddddddddddddddddgdf eb fddddddddddddddddddddgcdf bb fddddddddddddddddddddgddf be fdddddddddddddddddddgcddf bd fddddddddddddddddddcgdddf b fddddddddddddddddddgddddf b fdddddddddddddddddagddddf dbfdddddddddddddddddgdddddf ebddddddddddddddddaadddddf bbdddddddddddddddgddddddf fbedddddddddddddgaddddddf fdbeddddddddddddgdddddddf fddbfddddddddddgcdddddddf fdddbdddddddddcgddddddddf fdddfbbbbefdddgdddddddddf fdddddddeebbbbbbeeddddddf fddddddddddddgdfebbbbbbee fdddddddddddaaddddddddfebbbbbbee fdddddddddddgdddddddddddf eebbbbbee fddddddddddgadddddddddddf eebbbbbbed fddddddddddgddddddddddddf debbb fdddddddddgcddddddddddddf fddddddddfgdddddddddddddf ggac fddddddddgddddddddddddddf cagggc fdddddddcgddddddddddddddf agggac fdddddddgdddddddddddddddf cagggc fddddddaadddddddddddddddf agggac fddddddgddddddddddddddddf cggggc fdddddaaddddddddddddddddf caggga fdddddgdddddddddddddddddf cgggacdgcdddddddddddddddddf fdcaggddddddddddddddddddf fdddddddddddddddddddddddf fdddddddddddddddddddddddf fdddddddddddddddddddddddf ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fd3c3dff b,#0605feff c,#ffbcbcff d,#a6a6feff e,#514efcff f,#fe7a7aff g,#fe0404ff ``` ```image f g ag cgg agf cgg agf fgg ggf fga ggc fga cggc aga cggc agf cgg ggf fga ggc d fga bd cggc bbd aga ebb cggc ebb agf bbe cgg bbe ggf dbbe fgg dbbd ggc dbbd fga ebbd cggc ebb aga bbe cggc bbeddd agf dbbbbbbbeeedd cgg deebbbbbbbbbbbeedagf ddeebbbbbbbbbbbeedd ddeebbbbbbbbbbbeeddd fga ddeeebbbbbbbbbbee ggc dddeebbbbb aga ddd cggc agf cgg agf fgg ggf fga ggc fga cggc aga cggc agf cgg ggf fgg ggc fga cggc aga cggc agf cgg ggf gafc fgg gggggafc ggc cfagggggggaga cfaggggc cfc ```  Eureka! There's definitely an intersection in area A! I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#ff3535ff b,#0909ffff c,#ffb8b8ff d,#b9b9ffff e,#6161ffff f,#ff7575ff g,#ff0303ff ``` ```image f g gc cg gc cg g fa g af g gf g gc cg g fa g aa g d af be g be gc bd cg b g db fg db g eb fa bb g be af bd g b gc b cg db g eb cg eb g be fa bd g bd af b g db gc eb cg eb gc be cg be g bd fa b g db af db g eb gf bb g be gc bd cg b g b fa db g eb aa eb g be af bd g bd gc b cg dbbbbed g debbbbbbed g debbbbbbed fa deebbbbbed g ddebbbbbeed af debbbbbbed g debbb gc cg ggac g cagggf cg fgggac g cagggf fa cfgggac g fgggaf af cagggfc g fgggac gc cagg ```

I'm curious to see if this image contains any intersection points. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fe0808ff b,#5459f4ff c,#f7a4a0ff d,#9ca2f4ff e,#0606feff f,#aed5aeff g,#f55955ff ``` ```image c a a ag ca a ac ga a a ag ca a ac ga a a ag ca a ac ga a a ag ca a ac ga a ac gg ca a ac ca a ac gg ca a ag ca a ac ga a a ag ca a ac ga a ffffffffffffffffffff a ffffffffffffffffffff ag ffffffffffffffffffff ca ffffffffffffffffffff a ffffffffffffffffffff ac ffffffffffffffffffff ga ffffffffffffffffffff a ffffffffffffffffffff ca ffffffffffffffffffff ccggaaaaaaaagc fffffffffffcggaaaaaaaaaggc cggaaaaaaaaaggcfffff aaggcffffffffffffffff ffffffffffffffffffff ffffffffffffffffffff ffffffffffffffffffff eeedfffffffffffffffff fdeeeebfffffffffffff fffffdbeeebfffffffff ffffffffffbeeebfffff ffffffffffffffbeeebd ffffffffffffffffffbeeeed dbeeed dbeeeb beeebbbdddd ddbbbbeeeeeeeeeeeeeeeeeeeebbbbddddd ddddbbbbeeeeeeeeeee ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#5757ffff c,#ff8484ff d,#a8a8ffff e,#0606ffff f,#ffc1c1ff g,#ff4848ff ``` ```image fffccc fffccgggaaaaaaaaa fffccgggaaaaaaaaaaaaaaaagggc ffcccgggaaaaaaaaaaaaaaaaggcccfff aaaaaaaaaaaaagggcccff aagggcccff bbd eeeeebd dbeeeeeeebd dbbeeeeeebdd dbbeeeeeebdd ddbeeeeeebbd ddbeeeeeeebd dbeeeeeeebd dbbeeeeeebdd dbbeeeeeebd ddbeeee ddb ```  Area A doesn't meet the criteria for an intersection. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff0606ff b,#4848ffff c,#ff9999ff d,#9191ffff e,#0303ffff f,#efd5e5ff g,#ff4d4dff ``` ```image c fa af ag ca a ac ga fa af ag ca a ac ga fa af ag ca a ac ga fa af gg ca a ac ca a af gg fa a ac ca a af gg fa a ac ca a ac gg fa af ag ca a ac ga fa af ag ca a ac ga fa fcaf fcggaaaaaaaagc fcggaaaaaaaagccf fccggaaaaaaaagccf aggccf eebd dbeeed fbeeed fbeeebf deeebf deeebd dbeeed fbeeed fbeeebbddddfff dddbbbbeeeeeeeeeeeeeeeeeeebbbdddddff ffddddbbbbeeeeeeeeee ```

I'm on the case! Let's uncover any intersections hidden in this image. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#fb0d0dff c,#b4b4ffff d,#ef7c75ff e,#97c699ff f,#595bf5ff g,#b1d6b0ff ``` ```image c ca afa ca a a ca a ac ac a a ff ff a a ca ff ac a a ca ff a a ca ca ac ac b a a b ac af b a a b ff fa bg a a bd ff ca bd a ac bd ca a bd a ff bb ca a bb ac ca bb a ac db ac a db a af db ff geeaeeeeeeeeeedb a eggfaggggggggdbg ff egggagggggggebgg a egggeaggggggbggg ca eggggafggggbgggg a egggggagggbegggg ca egggggffgbeggggg ac eggggggabdgggggg a eggggggbaggggggg ac egggggbdaegggggg a eggggbdggagggggg ff egggbbgggafggggg a eggbbgggggaggggg ff egbbggggggfagggg a ebbggggggggaeggg ca bbgggggggggeaggg a dbeeeeeeeeeeeafee ca db a ac db ff a gb a ac b ca a b ac ff b a a b ff ff bg a geeeeeeeeeeaeeeee bd ca egggggggggfaggggg bd ac egggggggggagggggg bd a eggggggggeagggggg bd af eggggggggaegggggg bb a eggggggggaggggggg bb fa egggggggafggggggg dddbbbbbbbbbbb a eggggggeaddbbbbbbbbbbbbbddd ca bbbbbbbafbdddgggg ac eggggggaggggggggg a egggggfaggggggggg ff egggggagggggggggg a eggggfagggggggggg ca eggggaggggggggggg ac egggeaggggggggggg a egggaeggggggggggg af geeeaeeeeeeeeeeee a ac fa a a ff ca a f ff a ca a ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fd0507ff c,#8a87fcff d,#ff5454ff e,#dacff4ff f,#453cf6ff g,#ffa2a2ff ``` ```image aae caf aac caa fac eaa fac eaae faf eaae caf aae caf aac caa eggg efacggddddbbbbbbbbb eggggdddddbbbbbaabbbbbbbbbbbbbbdd bbbbbbbbbbbbbbfafddddggggee bbddddggggge eaae faf eaae caf aae caf aac caa fac eaa fac eaae faf eaae caf ```  Case closed! This is definitely an intersection point in area A. Alright, let's concentrate on the next area. Could this be where the intersection is hiding, in area B?  ```palette Key,Color ,#fefefeff a,#0403feff b,#fe0707ff c,#8282ffff d,#fc4649ff e,#cacafeff f,#4139f7ff g,#ffbabaff ``` ```image eaae gb faf gbb eaae gbbd caf gbbd aac gbbd caae gbbd faf gbbd eaae bbd caf bbd aac dbb caa dbb fac dbbg eaae dbbg faf dbbg eaaedbbg caabbg aafg gdaae gbbfaf gbbdeaae gbbd caf gbbd aac gbbd caa gbbd fac gbbd eaae bbd faf bbd eaac dbb caa dbb fac dbbg eaae dbbg faf dbbg eaae dbbg caf ```  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,#0706feff b,#fd0709ff c,#8f8fffff d,#ff5f5fff e,#d0d0ffff f,#4b48fcff g,#febbbbff ``` ```image e ca aca ea ae ae ea ea ac ac a a ff fc a a ca ff ae a a ca ff a a ea ca ae ae gb a ea b ac ac bg a a bg fc ff bg a a bg ff ea bd a ac bd ca a bd a ff bd ea a bb ae ca db a ae db ac ea db a ac db fc a gb a ca gb ff ae gb a ea gb ca ac b a a bg ea ff bg ae abg a ba ac bdae a bd a fc bd ff a bb a cf bb ca a db ae ca db ea a db ac ea db a ae gb ff a gb a ac gb ea a b ac fc b a a bg ff cf bg a a bg ca ca bg ae a bd ea ea bd ac ae bd a a bb ca ac ggdddbbbbbbbbbb ae gagddbbbbbbbbbbbdddgg ea bbbbbbbafddgg ac a a cf ff a a ca ca a ae ea a ae ff a a ac ca a ae ff ea a f cf a ca 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,#5e63f4ff c,#fda09fff d,#b7b7ffff e,#0a09fdff f,#f64a46ff g,#add4acff ``` ```image d eee bed be ee deb ded ee ee bed eb eb bed ee ee ded ded ee ee bed eb eb bed ee ee ded ggggggggggggggggg ded ee gggggggggggggggggee be ggggggggggggggggeb deb ggggggggggggggbeg ee ggafgggggggggeegg ded gggafggggggbebggg ee ggggafggggeeggggg be gggggafggebgggggg deb ggggggaeegggggggg ee ggggggeeagggggggg bed ggggbebgfaggggggg eb gggeeggggfagggggg ee ggebggggggfaggggg ded gggggggggggfagggg ee ggggggggggggcaggg bed ggggggggggggggagg eb gggggggggggggggag ee ggggggggggggggggac ded ac e ac ac af af af aa fa fa fa ca ca ca a ac ac ac ac af af fa af fac aa cac aa caf fa af fac aa cac aa caf fa af fac aa cac aa caf aa af fac aa cac aa ca ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fd0506ff b,#6e6cfdff c,#ffa9a9ff d,#b3b1fdff e,#0402fdff f,#ff5353ff g,#302af8ff ``` ```image de bee fc dgeeb caac beegd faaf geeb caaf deeed caaf beeg caaf dgeeb caaf beegd caaf geeb caaf deeed caageeg deeeb beeeaac geeb faac deeed faac beeg faac dgeeb faac beegd faac deeb faac bd caaf caaf caaf caaf caaf caaf caaa aa a ```  There is an intersection point visible in this close-up of area A. It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#ff0404ff b,#514efbff c,#ff8888ff d,#a4a4ffff e,#0807feff f,#ff4444ff g,#ffcacaff ``` ```image eeb be be ee ded ded ee ee ded eb eb be be ee ded ded ee ee be eb eb be ee ee ded ded ee ee be eb eb be ee ac ee ded ac ded eb af ee be af eb ded abe ee eea ded ded fa eb ee fa be eb ca ded ca ee ga be ga eb gag ee ag ded ag e ac ac af af af aa fa fa ca ca ca ga gag gag ag ac ac af af fag gaf fag aa cac aa gaf fag gaf fag aa cac aa gaf fag gaf fag aa cac aa gaf fag gaf fag aa cac aa ca ```

Let's examine this image for potential line intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#0607fdff b,#fd0706ff c,#9198f0ff d,#feb6b6ff e,#ea5953ff f,#acd4adff g,#4d51f6ff ``` ```image c a ac a a ca a gg a ac d a ebd a b bd ca ee bd a b bd gg ee bd a b bd ac be bd a b bd ac bd b ca b b a bd b ca b db a bd db gg db db a bd db ac db db a b dbfffffffffffafff db ebfffffffffcafff b febffffffffaffff db ffebffffffggffff b fffebfffffafffff db ffffebfffagfffff b fffffebffaffffff eb ffffffebacffffff b fffffffeafffffff ee fffffffaebffffff b ffffffgafbbfffff ee ffffffafffbbffff b fffffagffffbbfff ee fffffaffffffbbff b ffffacfffffffbef be fffcafffffffffbe b fffafffffffffffbe bd ca be b a be bd gg be b a bd bd ac bd b a bd bd a bd db ca bd bd a bd db gg bd b a bd db ac b fffffffffffbffff a ffffffffffebffff ac ffffffffffbfffff ca fffffffffebfffff a aaffffffffbffffff ca gaafffffebffffff a ffgaafffbfffffff gg ffffcaaeefffffff a ffffffcaafffffff ac ffffffeecaafffff a ffffffbfffcaafff a fffffbeffffffaac ca fffffbfffffffffaac a ffffbeffffffffff aac gg ffffbfffffffffff aac a fffbefffffffffff aac ac fffbffffffffffff aac a bd aac a b gag ca bd gag a db gag gg bd gaa db b ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#0807feff b,#fe0404ff c,#9797ffff d,#ff8b8bff e,#f92d33ff f,#e8d3eaff g,#5149f6ff ``` ```image ebd dbb ebd dbb bbd dbe bbd dbe c bbd agc dbe aaaac fbbd caaaac dbe caaaac fbbf caaaac dbe caaaac fbbf caaaacebe caaaagf caaaacf fbegaaagf ebd cgaaagf fbbf cgaaagf ebd fgaaagf dbbf fgaaagf ebd fgaaag dbb fgaa ebd fg dbb ebd dbb bbd dbe bbd dbe ```  Gotcha! I've found the intersection hiding in area A! Right then, let's explore the next spot. Let's get to the bottom of what's happening inside area B.  ```palette Key,Color ,#fefefeff a,#0807fdff b,#fe0505ff c,#aba9fcff d,#ff8282ff e,#fa373cff f,#fdcccdff g,#5751f8ff ``` ```image bd caa bbd aag dbbd caa dbbd aac dbbd gaa dbbd aac dbbd gag dbbd caac dbbd gag dbbf caa dbbf aac ebbf caa ebbf aac ebbf gag ebbcaac ebaag eaaf aagbf caaebbf aac ebbf gag ebbf aac ebbf gag febef caa febe aag fbbe caa fbbe aac fbbe gaa fbbe aac fbbe gag fbbe caac fbbe gag fbb caa fb ```  Wow! I can see an intersection so clearly in area B! There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#0606feff b,#ff0505ff c,#9a9affff d,#ff9c9cff e,#fb4c4fff f,#eed8e8ff g,#4c4cffff ``` ```image c a ac fa af ca a gg a ac d fa ebd af b bd ca ee bd a b bd gg ee bd a b bf ac bd bf a b bf ac bd fbf ca b fbf a bd fbf ca fb fb a bd fb gg fb fb a bf db ac fb db fa bf db af db db ca bf db a db db gg b eb a db eb ac b eb fa de ebaf b ea ee aeb b gg eb ee a bb b gg be ee a be b ac be ed fa be b af be bd ca be b a be bd gg bd fb a bd bd ac bd fb fa bd bf af bd fb ca bd bf a bf db gg bf bf a bf db ac fb b fa db ac b ca db a ag b ca caa ee a caa b gg caaee a caaf ac eecaaf fa b caaf af ee faaf ca b faac a bd faac gg b aac a bd aac ac b aac fa bd aac af fb gag ca bf gag a fb gag gg bf gaa fb f bf ```

Based on a first glance, I suspect there could be intersection regions here. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#f54745ff b,#595feaff c,#f48e89ff d,#e7cfe6ff e,#0a0bfdff f,#fe0505ff g,#acd3adff ``` ```image c f fc f df ca fd f cf aa f f ca ac f f aa fc f f fc fd df df fd fd df df f f cf cf f f aa ca f f fc ca f f fd aa df f fd ac cf f f fc aa f f fd ac df be f fd bede fc df be de df f be de fd cf be de cf f be de f ca ee de aa gggfgggggggggggee de f gggaagggggggggee ded aa ggggfggggggggeeg deggggggggggggfggg ggggaaggggggeegg deggggggggggfcggg gggggfgggggeeggg gegggggggggfgggg gggggfcgggeegggg ggegggggggfggggg ggggggfggebggggg gggegggggcfggggg ggggggfcebgggggg ggggeggggfgggggg gggggggebggggggg gggggeggafgggggg ggggggebgggggggg ggggggebfggggggg gggggebgfggggggg gggggggeaggggggg ggggebggfggggggg gggggggfebgggggg gggebgggcfgggggg ggggggfcgebggggg ggebgggggfgggggg ggggggfgggebgggg gebggggggcfggggg gggggfcggggebggg degggggggggfggggg ggggcfggggggebgg eggggggggggaagggg ggggfggggggggebg edgggggggggggfgggg gggafgggggggggeb ded aa gggfgggggggggggeb ded f ggaaggggggggggggeb ded ac f eb de f fc eb de fc f eb de f fd eb de fc df ee de df fd ee be fd cf ee be df f ee b f aa ee cf f ee f ac ee cf f be f fc be ca df be f fd be aa cf be f f b ac aa f f fc ac f f ffc df ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#fe5c5cff b,#5b5bffff c,#851089ff d,#b4b4ffff e,#0606feff f,#fe0707ff g,#ffaeaeff ``` ```image ffg afa ffg afa e ffg ee afa deee gff deee afa deee gff deeb afa deeb gff deeb ffg deeb gff deeb ffg deeb gff deeb ffgdeeb afceeb ceeb deec deecfg beebafa beeb gff beeb afa beed gff beed afa beed gff beed ffa beed gff beed ffg beed gff beed ffg beed gff beed ffg eed afa ed ffg ```  I am surprised, so clear, an intersection has appeared in area A. Now, let's turn our attention to the next spot. Let's take a closer look at area B.  ```palette Key,Color ,#fefefeff a,#fa5358ff b,#4239f6ff c,#fea6a6ff d,#cbcbffff e,#0404feff f,#fd0809ff g,#8787ffff ``` ```image d cff ed ffc eed cff beed ffc beed afa beed ffc beed afa beed cff beed afa beed cff beed ffc beed cff beed ffc beed aff beed ffc beedafa beeffc beea cbeeg ffbeeg cff geeg ffc geeg aff geeg ffc geeg afa geeg cffc geeg afa geeg cff geeg ffa geeg cff geeg ffc geeg cff gee ffc ge afa g ffc ```  Case closed! This is definitely an intersection point in area B. After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#ff4242ff b,#4f4cfbff c,#fd8385ff d,#b6b6ffff e,#0808feff f,#fe0505ff g,#ffc8c8ff ``` ```image c f fc f gf ca fg f gf aa f f ca ac f f aa fc f f fc fg gf gf fg fg gf gf f f cf gf f f aa ca f f fc ca f f fg ac gf f f ac cf f f fc aa f f fg ac gf be f fg bede fg gf be de gf f be de fg cf be de cf f be de f ca be de ca f ee de f aa ee e ac f ee e f ac eb ed fc f eb ed gf ac eb ed fg f eb ed gf fgeb ed f eb ed ca ebg edf ebgf ec ed fg fed ed gf fc ed ed f gf ed ed cf fg ed ed f gf eb ed ca f eb ed f cf eb ed aa f eb e f aa eb de ac f eb de f fc eb de fc f eb de f fg eb de fg gf eb de f f eb de fg cf ee de gf f ee b f aa ee gf f be f ac be cf f be f fg be ca gf be f fg be aa cf be f f b ac ca f f fc ac f f ffc gf ```

The hunt for intersections begins! Let's analyze this image closely. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0707fdff b,#fd0d0dff c,#a1a5f7ff d,#f3807bff e,#5153f1ff f,#97c798ff g,#b1d7b1ff ``` ```image c a ac gfffffffffffffffffffffaf fggggggggggggggggggggafg fgggggggggggggggggggcagg bbd fgggggggggggggggggggaggg bbd fggggggggggggggggggeaggg bbd fggggggggggggggggggagggg bbd fgggggggggggggggggeegggg bbd fgggggggggggggggggaggggg dbd fggggggggggggggggaeggggg dbb fggggggggggggggggagggggg dbb fgggggggggggggggafgggggg dbb fggggggggggggggcaggggggg dbb fggggggggggggggagggggggg dbb fgggggggggggggeagggggggg dbb fgggggggggggggaggggggggg gbb fggggggggggggeeggggggggf bb fggggggggggggaddbbbbbbbb bbg fggfddbbbbbbaebddfgggggg bbd ddbbbbbbbbbddfggggaggggggggggg bbd ddbbbbbbbbbdd fggggggggggacggggggggggg bbbbbbdd fgggggggggcagggggggggggg fgggggggggaggggggggggggg fggggggggeaggggggggggggg fggggggggagggggggggggggg fgggggggeegggggggggggggg fgggggggaggggggggggggggg fggggggaeggggggggggggggg fggggggagggggggggggggggg fgggggacgggggggggggggggg fggggfaggggggggggggggggg fggggafggggggggggggggggg fgggeagggggggggggggggggg fgggaggggggggggggggggggg fggeaggggggggggggggggggg gffaffffffffffffffffffff ee a a ac ca a ca a ca ca ea a ea ea ae a ae ee ae a ac ac ac a a ac a ca a a ca ca ca a ea ee ea a aa ac ae a ae ac ac ca ac a a ca a a a ee ca a ca ae ea a ea ac aa ca ae a ae ca ac a ac ee a a a ee a a caac ca ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0607ff c,#8684fdff d,#ffa3a3ff e,#4848feff f,#f7545bff g,#c7c7ffff ``` ```image cae gaag eae gaag eae gaa aac caa aac cae gaag eae gaag eae gaag aac caa aac caa gaag eae gaag eae gaag eac caa aac caa aag eae gaag eae gaag dddfffbbb eaeddfffbbbbbbbbbbbbb dddfffbfaabbbbbbbbbbbfffddd dddfffbbbbbbbbbbbaafbfffddd fffbbbbbbbbbbbbbbbfffddcaa bbbbbbbbfffddd aac fddd cae gaag eae gaag eae gaa aac caa aac cae gaag eae gaag eae gaag aac caa aac caa gaag eae gaag eae gaag eac caa aac caa aag eae gaag ```  There's no doubt about it - this is an intersection in area A. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0808feff b,#ff0505ff c,#a1a1ffff d,#ffa2a2ff e,#5555ffff f,#fa5559ff g,#e6daf2ff ``` ```image c a ac ga ag g ca bbd a bbd ea bbd a bbf ee fbf a fbf ac fbf ga fbf ag fbb ca dbb a dbb ca dbbg a dbbg ee g gbbg adffbbbbbbb gbbd gdffbbbbbafffdg gbbd gdffbbbbbbbffdg ga bbd gdffbbbbbbbffdg ac bbbbbffdg ga ag ca a ee a ae a ac ga ag ca a ee a ee a a ac ga ga ca ag ca ca ea a ea ea aa a ae ee ae a ac ac ac ga ag ag gag ca ga ag ca ca ca a ea ee ea a aa ac ae ga ae ac ac ga ac ag ag ca gag a ga ee ca a ca ae ea a ea ac aa ga ae ag ae ca ac a ac ee ag a ag ee ga a caac ca ```

I'm curious to see if this image contains any intersection points. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff0909ff b,#3939ffff c,#ff6464ff d,#ffadadff e,#b8b8ffff f,#0303ffff g,#7272ffff ``` ```image e egfffb gffffg ebfffbe egfffbe gffffg ebfffge egfffbe fffbbgggeee gffffg eeegggbbfffffffffffffffbbgggeee ebfffge eeegggbbfffffbe aa cad aa dac aa dac aa aa cad aa cad aa dac aa dac aa aa cad aa cad aa dac aa daaaaaaaaaccdd ddccaaaaaaaaaaccdd ddccaaaaaaaaaaccdd ddccaaaaaa ```

I'm approaching this image with caution. Intersections might be tricky to spot. 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,#ef645cff b,#0606feff c,#acacffff d,#ffb1b1ff e,#fd0908ff f,#5353feff g,#afd6afff ``` ```image ggggggggggggggg ggggggggggggggg ggggggggggggggg ggggggggggggggg cc gggggggggggggggccffffbbbbbbbbbbbbbbbbbbbc gggbbbbbbbbbbbbfffcccc b gggaggggggggggg b gggeagggggggggg cb ggggegggggggggg cb ggggeaggggggggg fb gggggeggggggggg fb gggggeggggggggg bf ggggggegggggggg bf ggggggegggggggg bc gggggggeggggggg bc gggggggeggggggg b gggggggaegggggg b ggggggggegggggg cb ggggggggaeggggg cb gggggggggeggggg fb gggggggggaagggg fb ggggggggggegggg bf ggggggggggaaggg bf gggggggggggeggg bc gggggggggggeagg bc ggggggggggggegg b ggggggggggggeag b gggggggggggggeg cb gggggggggggggea cb e fb ed fb de bf e bf de bc e bc de b e b aa cb e cb aa fb e fb aa bf e bf ed bc e bc ed b e b ed cb de cb e fb de fb e gggggggbbgggg de ggggggggbgggg e ggggggggggggg ae ggggggggggggg e ggggggggggggg aa ggggggggggggg e ggggggggggggg aa ggggggggggggg e ggggggggggggg ed ggggggggggggg e ggggggggggggg ed ggggggggggggg e ggggggggggggg ed ggggggggegggg de gggggaeeggggg e gggeeaggggggg de aeeaggggggggg e eeegggggggggggg de deed ggggggggggggg e aee ggggggggggggg ae deea ggggggggggggg e aeed ggggggggggggg aa deea ggggggggggggg e aeed ggggggggggggg aa eea ggggggggggggg e deed ggggggggggggg ea eee ggggggggggggg e deed ggggggggggggg ed aee ggggggggggggg e deea ggggggggggggg edaeed ea ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#ff3c3cff b,#0606ffff c,#bbbbffff d,#ffc1c1ff e,#ff0505ff f,#6666ffff g,#ff8787ff ``` ```image ccc ccfffffffffbbbbbbbbbbb cbbbbbbbbbbbbbbbbbbbbbb ffffffffccccccc dg dee aeg gee eeg gea eed gea eed gea eed aea deed aea deed aeg dee aeg dee aeg gee eeg gea eeg gea eed gea eed gea deed aea deed aeg dee aeg dee aeg dee aeg gee eeg gea eed gea ```  The lines within area A do not intersect. Let's move forward and inspect another region. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#ff3c3cff b,#0d0dffff c,#f0e0eeff d,#ffb4b4ff e,#ff0404ff f,#4545ffff g,#ff6e6eff ``` ```image fbbc fbbc cbbf cbbf cbf c cc dgeg daeeea cgeeeegd daeeeagc cgeeeead daeeeegc cgeeeead geeeegc eead gd ```  This isn't an intersection in area B, but I'm not discouraged. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#ff3838ff b,#0505ffff c,#aeaeffff d,#ffbabaff e,#ff0404ff f,#4f4fffff g,#ff7777ff ``` ```image cc ccccffffbbbbbbbbbbbbbbbbbfbc bbbbbbbbbbbffffcccc b d b ag cb e cb ed fb e fb ed bf de bf e bc de bc e b de b e cb ga cb e fb ga fb e bf ag bf e bc ag bc e b ed b e cb ed cb e fb ed fb de bf e bf de bc e bc ga b e b ga cb e cb ag fb e fb ag bf e bf ag bc e bc ed b e b ed cb de cb e fb de fb e bf ge b e ga e ga e ag e ag e ed e ed de de geed e eea de geed e aea de deeg e aea ga deeg e geed ga deeg e geed ag eea e geed ag aea e deeg ed aee e deeg edgeed eg ```

I'm analyzing this image to identify any points where lines intersect. There are 1 areas where the lines seem to converge. We should take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0909fdff b,#fe0908ff c,#5c60f7ff d,#feb9b8ff e,#b1b1ffff f,#f55d58ff g,#acd4adff ``` ```image cac a aa ae ca ca eae a ac ae aa ea ca a eae ac ac ea aa a ca ac ea ea ae a ac cc aa a ca ae eae ca ac gggggggggggggggg a aa ggggggggggggggggdb ae ca gggggggggggggggfb ea eaggggggggggggggfb a acgggggggggggbbg ae gaagggggggggbbgg ea ggcagggggggbfggg a gggcagggggbfgggg ac gggggacggbgggggg ea ggggggaabggggggg a ggggggfaaggggggg cc gggggfbgcagggggg a ggggbbggggacgggg ae gggbbggggggaaggg ca ggbfggggggggaagg a gbfggggggggggcag ae dbggggggggggggggae ca dbggggggggggggggggac a fb gggggggggggggggg a ae fb gggggggggggggggg ea bb a bb ac bf ea bd a dbd ac db a fb a fb ca bb a bf ae bf ca bd a dbd ae db ea fb a fb ac bb ea bf a bf dbd bb fbf bb bbd dbf bb fbd dbf bb fbd dbb bb fbf bb bbd dbf bb fbd dbf bb fbd bf ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#0706fdff b,#fe0506ff c,#4c4cfeff d,#fe8888ff e,#a1a1ffff f,#f9383eff g,#f1d5e2ff ``` ```image g d ae fb aae fbb caac gfbbg eaacg gbbbg eaaae gbbfg gcaae dbbf caac dbbf eaac dbbd eaaag fbbd gaaae fbbd caac gfbbg eaac gbbbg eaaafbfg gaaaf dbaaae dbbdcaac fbbd eaaag fbbd gaaae gfbbg caae gbbbg caac gbbfg eaacg dbbf eaaae dbbf gcaae dbbd caac fbbd eaac gfbbd eaa fbbg gc bbg fg ```  Incredible, there's actually an intersection in area A! My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#0807feff b,#ff0606ff c,#5151ffff d,#ff9898ff e,#a0a0ffff f,#ff4949ff g,#ecdaecff ``` ```image g cac a aa ae ca ca eag a ac ae aa ea ca a eag ae gae ea aa a ca ac eag ga gae ag ac cc aa ga eag ag gae ca ac a aa db ae ca db ea eae fb a ac fb ae aa bf ea ca bf a eag bd ac ac gbg ga aabg ag daa cc fb eag ga bb gae ag bf ac ca bf ca a bd eag ae gbg gae ea dbg ac a db a ae fb ea bb a bf ac bf ea bd a gbg cc dbg ga db ag fb cc bb a bf ae bf ca bd a gbg ae dbg ea db a fb ae bb ea bf a bf gbd bbg dbd gbb fbg dbf bb fbd dbf bb fbd gbf bbg dbd gbb bbg dbf gbb fbg dbf bb fbd bf ```

I'm curious to see if this image contains any intersection points. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#fc0a09ff b,#0807fbff c,#ed645bff d,#feb3b3ff e,#7780ecff f,#b1d7b1ff g,#9ac695ff ``` ```image c a ad da ad a da da a a ca ca a a cc cc a a ad cc a a ad cc da a a ac ca a a ad cc a a ad ac a a ad ad a da ad a da da ad a da cc a a da ac a a da ad a da da a a da ca a a cc cc a a ac cc a a ad cc a a ad ac da a a f ad ca bb a a ebe ad ggggggggggggggggggggggggggggac bb a ffffffffffffffffffffffffffffag bb ad fffffffffffffffffffffffffffacg ebe a fffffffffffffffffffffffffffafg bb ad ffffffffffffffffffffffffffagfg bbf a fffffffffffffffffffffffffgaffg ebe adfffffffffffffffffffffffffafffg bb daffffffffffffffffffffffffcafffg ebe agfffffffffffffffffffffffaffffg bb daffffffffffffffffffffffccffffg bb affffffffffffffffffffffafffffg ebe caffffffffffffffffffffacfffffg bb faffffffffffffffffffffaffffffgbb fcaffffffffffffffffffagfffffebe ffafffffffffffffffffgafffffbbg ffcaffffffffffffffffaffffbbefg fffafffffffffffffffcaffebbfffg fffcaffffffffffffffaffbbfffffg ffffafffffffffffffcaebeffffffg ffffccffffffffffffabbffffffffg fffffafffffffffffbbgfffffffffg fffffccffffffffebbfffffffffffg ffffffafffffffbbacfffffffffffg ffffffacffffbbegaffffffffffffg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffagffffffffffffg fffffffacfffffcafffffffffffffg ffffffffafffffaffffffffffffffg ffffffffacfffcaffffffffffffffg fffffffffafffafffffffffffffffg fffffffffacfacfffffffffffffffg ffffffffffafaffffffffffffffffg ffffffffffaacffffffffffffffffg ffffffffffgafffffffffffffffffg fffffffffffffffffffffffffffffg fffffffffffffffffffffffffffffg fffffffffffffffffffffffffffffg ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0302feff c,#fe3b3bff d,#fec0c1ff e,#a09dfcff f,#4c3ff1ff g,#fe8181ff ``` ```image d c da ca gaa aag gac aad gac daad cac daad cag gaa aag d gac g aad a gac ag daad aa cac cag daad daa cag cag daa daa aag cag gaa gaa aag aag gac gaa daad e aag cac fb gac daad ebbb aad cag ebbbf gac daa fbbbe aad cag ebbbe gac gaa efbbf aad aag fbbbe gac gac ebbbf aad daad fbbfe gac cac fbbbe daad daaebbbf cac cafbbbe daad dfbbbe cac ebbbf daad fbbbe cag ebbbfg daa efbbfac cag fbbbeaad daa ebbbf gac cag fbbfe daad daa ebbbe cac bbbbbbbbbbbbbbbbbbbbbbbbbf daad bbbbbbbbbbbbbbbbbbbbbbbbe cag cag gaa gaa aag aag gaa gaa aad aag gac gac daad aad cac gac daad aad cag gac daa aad aag gacgaa aaaag gaac daad dd ```  My analysis confirms the presence of an intersection in area A. My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#fe0506ff b,#0303feff c,#fe4343ff d,#ffc5c5ff e,#a7a7ffff f,#5149f7ff g,#fe8484ff ``` ```image g a ag da ad a da ga a a gc gc a a cc gc a a ag cc a a ad cg da a a cg ga a a ag cc a a ag ag a a ad ad a da ad a da ga ad a da cc a a da cg a a ga ad a da ga ad a ga gc a a gc gc a a cg cc a a ag cg da a ad cg da a a e ag gc bb a a fbe ag cc bb a a bb ad ag ebf a a bb ad ad fbe da da ebf ad a bb da ga fbe ad a ebf da cc bb a a ebe da ag bb a a fbe ga ad ebf a da bb gc a fbe a ga ebf gc a bb a ccfbe cc abb a bb cc ebf a bbad cg fbeda bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ad cg ga a a ag gc a a ad cg a a aag da ```

I have a feeling there might be some intersections in this image. 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,#fd0808ff b,#0606feff c,#a9aafdff d,#f5a09cff e,#5154f7ff f,#aed5aeff g,#f1544eff ``` ```image ffffffffffffffff ffffffffffffffff ffffffffffffffff fffgffffffffffff fffgagffffffffff fffffaafffffffff fffffffaafffffff ffffffffgagfffff ffffffffffaadfff ffffffffffffaaff fffefffffffffdaa fffeeffffffffffgad ffffbfffffffffff aa ffffebffffffffff aa fffffbffffffffff dag ffffffbfffffffff gad bc aa b daa ee dag b aad cb aa b dag cb gad bc aa b aa ee ag b ad cb a b da cb ga bc ag b ad ee a b a cb da b ag cb ad bc a b a ee da b gg cb ad b a cb a bc da b ga ee ag b ad cb a b da cb ga bc ag b ad ee a b da cb ga b ag cb ad bc a b a ee da b ag eb ad b a cb a bc da b aafffffffffffff ee fagffffffffffff b ffaffffffffffff eb fffafffffffffff b fffdaffffffffff cb ffffgafffffffff bc fffffagffffffff bbbe ffffffadfffffff cebbbbc fffffffafffffff cebbbec fffffffdaffffff cbbbbec ffffffffgafffff ebbbbc fffffffffagffff cebbbec ffffffffffaffff cebbbecfffffffffffffff cbbbbefffffffffff fffebbbbeffffff fffffffcebbffff fffffffffffffff fffffffffffffff ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0808ffff c,#b0b0ffff d,#ff8484ff e,#6262ffff f,#ffc8c8ff g,#ff3d3dff ``` ```image df faad fgaaad fgaagf daaagf daaad fgaaaf faaagf daaad fgaaad fgaagf daaagf daaad fgaaad ee fgaa cbb da ebe cbbc ebb bbc cbb bbe cbb ebe ```  The evidence suggests that this is not an intersection point in area A. Onward to the next region of interest. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0404ffff c,#a3a3ffff d,#ff8383ff e,#4f4fffff f,#ffcacaff g,#ff3737ff ``` ```image aaf gag faag faad daaf daaf gag aag faad daaf daaf gag gag faad faad daaf gaa gag faad faad daaf gaaf gag faad faad dag d eecc bbbbbeec ccebbbbbbbecc ceebbbbbbbecc ccebbbbbbbeec ccebbbbe cec ```  Darn it! This close-up doesn't show any intersections in area B. I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0606ffff c,#9595ffff d,#ff9393ff e,#4f4fffff f,#ead4e9ff g,#ff4646ff ``` ```image d gad aaf faa dag gad aa c dag ee gad b aaf cb faa bf dag fb gad bc aaf b faa ee dad b gaf cb aa bf dag fb gad bc aaf b faa ee ag b af cb a bf fa fb ga bc ag b ad ee a b fa cb da bf gg fb ad bc af b fa ee da b gg cb ad bf af fb fa bc da b ga ee ad b af cb a bf da fb ga bc ag b af ee a b fa cb ga bf ag fb ad bc a b fa ee da b gg cb ad bf af fb fa bc da b gg ee ad b af cb fa b da fb ga bc ad bbbcf af febbbbc a cebbbec da cbbbbef ga fcbbbbc ag febbbec a cebbbef cbbbbef febbbbc cebb ```

The hunt for intersections begins! Let's analyze this image closely. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff3a3aff b,#0909ffff c,#5b5bffff d,#ff0404ff e,#ff9b9bff f,#ffd5d5ff g,#b3b3ffff ``` ```image e aa de df fd ed aa de df fd ed aa de df fd ed aa de df fd ed aa de df ed d edd ed edd aa edd de edd df fddf d fddf ed fddf ad fddf de fddf df fddf d fddf ed fddf ad fddf de fddf df ddf d dde ed dde ad dde da dde df dde d dde ede b gbg bc bb gbg bc bb cb gbg bc bb gbg bc gbb bb bbbg cb cbbg gbg gbbc bc bbb bb cbbg gbg gbbc bc gbbb bb cbbg cb gbbc gbg gbbb bc cbbg bb gbbc gbg gbbc bc cbbg bb cbbc cbc ```

I'm approaching this image with caution. Intersections might be tricky to spot. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#f9514fff b,#0707feff c,#a8aafcff d,#fcafaeff e,#fe0606ff f,#afd6afff g,#5252fdff ``` ```image c cbbbb bbb gb gbbc bg cbbg gb bbb cbg gbbc bb cbbg cbg bbb bb gbbc cbc cbbg bb cbbg cbc gbbc bb cbbg gbc bg bg gb bg gb cbg bb cbc bb cbc bb gbc bb gb bg gb ffffffbgfffff fffffffbbffff ffffffffcffff fffffffffffff fffffffffffff fffffffffffff fffffffffffff fffffffffffff fffffffffffff fffffffffffff fffffffffffff fffffffdeffff ffffffaefffff fffffaeffffff ffffeefffffff fffeeffffffff ffeafffffffff feaffffffffff eafffffffffff efffffffffffff dedfffffffffffff de fffffffffffff ae fffffffffffff ae fffffffffffff ee fffffffffffff ea fffffffffffff ea ed ed ded de de ae ae ee ea ea ea deed ed aee ed deea de aeed de deea ae aeed ae deea ee aeed ea eea ea deed ed aee ed deea ded aeedde dee ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#ff4747ff b,#0a0affff c,#bebeffff d,#ffc3c3ff e,#ff0505ff f,#ff8282ff g,#6969ffff ``` ```image gbbbc cbbbg gbbbc cbbbg gbg c d def deea feea feea feef aeef aeed aeed deeed deeed deea deea feea feef aeef aeef aeed eed ed ```  This close-up reveals that there are no intersections in area A. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff4d4dff b,#0707ffff c,#a2a2ffff d,#ffa3a3ff e,#ff0606ff f,#eadbf0ff g,#5353ffff ``` ```image f cbbbb fbbbf gbf gbbc fbg cbbg gbf fbbbf fbg gbbc bb cbbg cbg fbbbf bb gbbc cbc cbbg bb fbbgf cbc gbbc bb cbbg gbf bgf fbg gbf fbg gb fbg bb cbc bb cbc bb gbc bb gbf fbg gbf fbg bb c f de de ae ae ee ea ea ed fed def de ae ae ee ea ea ed ed fef de de ae ae ee ea ea ea deed ed aeef fed deea def aeef de deea ae aeed ae feea ee deed ea feea ea deed ed aeef ed deea fef aeefde dee ```

This image might have some surprises. Let's look for intersections carefully. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#0607fdff b,#fe0706ff c,#939af0ff d,#f04b46ff e,#464bf1ff f,#9bc597ff g,#b2d6b1ff ``` ```image c ac a ee a ca a ca a a ac a ac a ee a a ce a a ac ca ae a ea a ca ac a a a ac ac a ae ee ea a ca ee ca a a ca a a ac ca ae ac ea a ca ac a a bbg a ee bd bg ac a bd bg ae fggeeggggggggggbdggggfbfgggggggggggggggggfee fgggagggggggggbdgggggggbfggggggggggggggggea fgggeagggggggbdgggggggggbfggggggggggggggca fggggaggggggbdgggggggggggbfgggggggggggggaf fggggcaggggbdgggggggggggggbfgggggggggggaff fgggggacggbdgggggggggggggggbggggggggggacgf fggggggagbdggggggggggggggggfbggggggggaeggf fggggggaddggggggggggggggggggfbggggggeagggf fggggggbaggggggggggggggggggggfbggggcaggggf fgggggbdaeggggggggggggggggggggfbggfagggggf fggggbdggagggggggggggggggggggggfbgaggggggf fgggbdgggeegggggggggggggggggggggfacggggggf fggbdgggggagggggggggggggggggggggaebggggggf fgbdggggggeagggggggggggggggggggaagdbgggggf fbdggggggggaggggggggggggggggggeagggdbggggf bdgggggggggcaggggggggggggggggcagggggdbgggf bdgggggggggggafgggggggggggggggagggggggdbggf bdfgggggggggggfaggggggggggggggafggggggggdbgf bd fggggggggggggacggggggggggggacggggggggggdbf bd fgggggggggggggagggggggggggaeggggggggggggdb bd gfffffffffffffaefffffffffeaffffffffffffffdb bd a ca db bd ee a db bd a a db bd ca ac db bd a ac bb bd ca ae bd bd aea bd bd a bd bd bd bd bd bd bd bd bd bd bd bd bg bg bg bg bg b ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0505ff c,#8785fdff d,#f84c52ff e,#4543fcff f,#c9c9feff g,#feb4b4ff ``` ```image faaf gbbd dbbg eae gbbd dbbg aaf gbbd dbbg cae gbbd dbbg aac gbbd dbbg c caa gbbd dbbg fa aac gbbd dbbg faa caa gbbd dbbg aae eac gbbd dbb eaa faaf gbbd dbb eaaf eae gbbd bbb caaf faaf gbbd bbb faac eae gbbd bbb faac faaf gbbd bbd faae caegbbd bbd eae aadbd gbbd eaaf caad gbbd caaf gbaac gbbd caaf gbbdaa gbbd faac gbbd eac gbbd faae gbbd faaf gbbd aae gbbd eae gbbd eaa gbbd faaf gbbeaaf gbbd eae gdaaf gbbd faaf faadd gbbd cae faaebbd gbbd aac faae gbbd gbbd caa eae gbbd gbbd aac eaaf gbbd gbbd caa caaf gbbd gbbd eac caaf gbbg bbd faaf faac gbbg bd eae faae gbbg d faaf aae dbbg eae eaa dbbg faaf eaaf dbbg cae caaf dbbg aac caac dbbg caa faac dbb aac faae db ```  The close-up clearly shows an intersection point in area A. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#0505ffff b,#fe0707ff c,#8686ffff d,#fd4d4eff e,#4140feff f,#c8c8feff g,#ffb5b5ff ``` ```image f ec a ee a ce a ca af fa af a ac a ee a a ce af a ac ca ae af ea fa ca af fa a a ac af a ac ee ee a ca ce fa a a ca af a ac fa ae af ea a ca ac g fa a bbg a ec bd bg af a bd bg ac ee bd bg ee a bd bg ca ca bd bg fa a bd bg a fa bd b af af bd b ac fa bd b ae add gb ea ba gb ca bdec gb fa bd a gb a bd ee gaf bd a aeb bd ca ee gb bd a ca gb bd fa fa gb bd af a db bd fa af db bd ac ac db bd a ae db bd ec ea db bd a ca db bd ee fa db bd a a db bd ca af bb bd a ac bb bd fa ee bd bd aea bd bd fa bd bd bd bd bd bd bd bd bd bd bd bg bg bg bg bg bg b ```

This image looks interesting. I wonder if there are any intersections hidden in there? I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#0606feff b,#f1514bff c,#959bf1ff d,#fcaaa9ff e,#494cf4ff f,#fd0707ff g,#add4adff ``` ```image c ac a ac a a ca a ce a bf ee dfdf a f fd ec fd f a bf bb ac df f a f df a fd fd a bf f a df bb ca f f a fd df ce bf fd a df f ee f df a fd fd ec bf f gggaggggggggggfg bb gggacggggggggfgg f ggggagggggggfbgg df ggggaggggggbfggg fd ggggcagggggfgggg f gggggaggggfggggg bb gggggcaggfbggggg f ggggggagbfgggggg df ggggggeefggggggg fd gggggggagggggggg f ggggggfeeggggggg df gggggbfgaggggggg fd ca gggggfggaegggggg f ca ggggfggggagggggg bb ca gggfbggggacggggg f ca ggbfggggggaggggg df ea ggfgggggggaggggg fd ea gfggggggggcagggg ggfggggggggggggg ea fbgggggggggagggg ggbfggggggggggggaa dfggggggggggeaggg gggfgggggggggggaa f a ggggfgggggggggaa fd ee ggggfbgggggggaeg fb a gggggfggggggaegg df ec gggggbfggggaeggg f a ggggggfgggaegggg fd ac gggggggfgacggggg fb a gggggggbacgggggg df ac gggggggafggggggg f a ggggggagdfgggggg fd a gggggagggfbggggg bb ca gggcagggggfggggg d a ggcaggggggbfgggg ce gcaggggggggfgggg a eaggggggggggfggg ee eagggggggggggfbgg a eagggggggggggggfgg ec ea gggggggggggggbfg a ea fd ac aa f a ae bb a ae f ca ae df a ae fd ca ac f a ac bb ce ac f a ac df ee a fb a a f ac ca df a ca fd aea f a bb f ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#0606feff b,#ff3a3aff c,#9f9efeff d,#ff7878ff e,#4b44f7ff f,#fd0406ff g,#ffc0c0ff ``` ```image eac df caa gff aac gffd cae bfb aac dff cae gffg aac gffd eae bfb aa dff eae gffg caa gffd eac bfb caa dff aac gffg caa ffd aac bfb cae dffg aacgffg eaeffd aafb eaeg gfaa ffeae bfbcaa dffg eac gffg caa ffd aac bfb caa dffg aac gffg cae ffd aac bfb eae dffg aa gffd eae ffb caa bfb eae dffg caa gffd eac ffb caa bfb aac ```  Bingo! This close-up reveals an intersection in area A! Onward to the next region of interest. I'm focusing my attention on this specific region, area B.  ```palette Key,Color ,#fefefeff a,#0605fdff b,#fe4646ff c,#9593fcff d,#ff9393ff e,#4746feff f,#fe0607ff g,#e9d2e7ff ``` ```image dff bfb gffg bfb ffd g dffg ga bfb gaa gffd gaae dff gaae ffd caae dffg caae bfb caae gffd caae dff caac bfb caac gffg caac bfb eaac ffd eaac dffeaac baaac eaac eaaff geaagffd gaaag dffg gaaag bfb gaaeg gffd gaae dff gaae bfb caae gffg caae bfb caae ffd caae dffg caae bfb caac gffd aac dff ac ffd c dffg bfb gffd dff ```  Case closed! This is definitely an intersection point in area B. After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#0707ffff b,#fe4646ff c,#a0a0ffff d,#ff9191ff e,#5150fdff f,#fe0606ff g,#f0d8e7ff ``` ```image c ac a ac ga ag ca a ca g a bf ee gfdf a f fg ec fd gf a bb bb ac gf f a f df ag fd fd ga bf f a gf bb ca f fg a fd gf ce bf fd a gf f ee fg df a fd fg ac bf gf a gf bb ac fg f ga fd df ag df fd ca gf f a fg bb ca fd fg a df gf eef fd ag f fee df g df a fg ca gf ac gf ca fg a bb ca fb ac f ea df ga df ea gf ag fd ea fg ca f ea fb a bb aa df ca fg aa f a gf ae fg ee fd ae fb a f ae df ee df ae f a fg ac fg ac gf ac bb a bac df ag af f ga gagdf fd ag gag fd bb ca ca f d a ca bb ce ca fg a ca gf ee ea fd a ea f ec ea df a ea fg ac aa gf a aa bb ag ae f ga ae df a ae fd ca ac f a ac bb ee ac fg a ac gf ee gag fd a gag f ac gag df a ca fg aea gf ga bb f ```

Let's examine this image for potential line intersections. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fd0908ff c,#8b93f0ff d,#f1645eff e,#4241f2ff f,#b0d6b0ff g,#feb2b2ff ``` ```image c eac aac aa aa cae cae eac aac aa aa cae cae eac aac aa aa cae cae eac aa ee ac a ca ae a a ca ac a a ea ac a ca ee ac a ca bd ae bbg a bb a gbd ca dbg ac bb a gbb a dbd ea bbg ac bb a gbd ffcafffffffffffffffffffff dbg fffeeffffffffffffffffffff bb ffffacfffffffffffffffffff gbb fffffafffffffffffffffffff dbd fffffcaffffffffffffffffff bbg ffffffaefffffffffffffffff bb fffffffacffffffffffffffff gbd ffffffffaffffffffffffffff dbg ffffffffcafffffffffffffff bb fffffffffaeffffffffffffff gbb ffffffffffaffffffffffffff dbbbbbbbbbbbbdddggggfffffffffffafffffffffffff gggddddbbbbbbbbbbbbbeabbbdddddffff ffffffffffffaefdddddbbbbb fffffffffffffafffffffffff fffffffffffffcaffffffffff ffffffffffffffeafffffffff fffffffffffffffacffffffff ffffffffffffffffaffffffff ffffffffffffffffcafffffff fffffffffffffffffeeffffff ffffffffffffffffffacfffff fffffffffffffffffffafffff fffffffffffffffffffcaffff ffffffffffffffffffffaefff fffffffffffffffffffffafff a ca ac a ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#0705fdff b,#fe0607ff c,#8d8bfdff d,#ff5b5bff e,#4743fbff f,#cbcbfeff g,#ffacadff ``` ```image aae faac caaf eae aac faaf caaf eae faac caaf eaa eae faac caaf eaa aae faac caaf eae aae faac caaf eae g faac bbbbbbbbbdddddddgggggggcaaf bbbbbbbbbbbbbbbbbbbbbbbbeaabbbbdddddddggggggg gggggggdddddddbbbbbaaabbbbbbbbbbbbbbbbbbbbbb faacggggggddddddddbbbbbbb caaf eaa aae faac caaf eae aae faac caaf eae faac faaf caaf eae faac caaf eaa eae faac caaf eaa aae faac ```  The close-up clearly shows an intersection point in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#0606feff b,#ff0909ff c,#8988feff d,#ff6161ff e,#4440fbff f,#cdcdffff g,#ffb1b1ff ``` ```image c eac aaf aaf faa cae cae eac aaf aaf faa cae cae eac aaf aaf faa cae cae eac aa ee af a ca ae af fa ca ac a fa ea ac a fa ee af a ca bd ae bbg af bb a gbd ca dbg ac bb af gbb fa dbd ea bbg ac bb a gbd fa dbg ee bb af gbb a dbd ca bbg ee bb af gbd a dbg ca bb ac gbb af dbbbbbbbbbbbbdddgggg fa gggddddbbbbbbbbbbbbbeabbddddggg acgggdddbbbbb a fa ee ac a fa ee af a ca ae af fa ca ac a ```

Here's an image. My task is to find intersections or areas where lines come close together. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#0707feff b,#fe0505ff c,#a6a7feff d,#faa9a7ff e,#4f50fdff f,#fb5250ff g,#b0d6b0ff ``` ```image aae cac aa aa ea ae ca ea ac aa ae cac aa ea ea ae ca cac ac aa ae ae aa cac ea aa ca ae ac ea ae aa aa cac ea ea ca aa ac cac ae ea aa ae ea cac ca aa ac ae ae a aa ea ca ac ae aa ea ca cac gggggggaegggg ggggggggagggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggggggg ggggggggbgggg ggggggdbfgggg gggggbbgggggg ggggbfggggggg ggfbggggggggg gbbgggggggggg dbdggggggggggg bbggggggggggggg dbf ggggggggggggg fb ggggggggggggg bf ggggggggggggg fbd ggggggggggggg bb ggggggggggggg dbd ggggggggggggg bb bf fb bf dbd bb dbd fb bf fb bb dbd bb dbf fb bf fbd dddddffffbbbbbbbbbbbbbbbbbb bbbbbbbbbbbfffffddddd ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#0202ffff b,#ff0404ff c,#6767ffff d,#ff9c9cff e,#ff6969ff f,#ff3434ff g,#f8cfd6ff ``` ```image caac caac caac gac g dbe ebbf gbbbd ebbfg gfbbe dbbbd gfbbf dbbbd ebbfg gfbbe ebbfg gfbbe bbbd bfg d ```  Area A is clear of intersections, but the search continues. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#0707ffff b,#ff0404ff c,#9e9effff d,#ff9494ff e,#5050ffff f,#ff4545ff g,#e8d9efff ``` ```image g gaae cag aa aa ea gae cag eag gac aa ae gac aa ea ea ae cag cac gac aa ae ae aa cag ea aa cag gae gac eag ae aa aa gac ea ea cag aa gac cac ae ea aa ae ea cag cag aa gac gae ae ag aa ea cag gac ae aa ea cag gac ae a b dbd fb gbf fbg bb dbd bb gbd fb bf dbg bb dbd bb gbf fbg bf dbd bb dbd fb gbf fbg bb dbd bb gbd fb bf dbg ggdddddffffbbbbbbbbbbbbbbbbb bbbbbbbbbbbffffddddggg ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#7379f2ff b,#fd0807ff c,#0c0cfdff d,#ffb6b6ff e,#f25852ff f,#b0d6b1ff g,#99c399ff ``` ```image f ca c ca c ca c ca c ca c aa c aa c aa c aa c ac c ac c ac db c ebeb acgggggggggggggf eb be fcfffffffffffffg bb bd facffffffffffffg be bd ffcffffffffffffg be b ffacfffffffffffg bd db fffcfffffffffffgbd db fffacfffffffffeb eb ffffcffffffffebg be ffffacffffffbbfg be fffffcfffffbbffg bd fffffacfffbefffg b ffffffcffbeffffg b ffffffacbgfffffg db ffffffgcgffffffg eb fffffebacffffffg eb ffffebffcffffffg be fffbbfffgcfffffg bd ffbbfffffcgffffg bd fbeffffffgcffffg b beffffffffcgfffg db dbgfffffffffgcfffg db db fffffffffffcgffg eb eb fffffffffffgcffg be eb ffffffffffffcgfg be bb ffffffffffffgcfg bd be fffffffffffffcgg b be ggggggggggggggcf db bd cf db dbd c eb db ca be e c be ca bd c b gffffffffffffffg ca b gfffffffffffffff c dbgfffffffffffffff ca ebfffffffffffffff c bbffffffffffffff ca gbefffffffffffff c gfbeffffffffffff ca gffbgfffffffffff c gfffbfffffffffff ca gfffgbffffffffff c gffffebfffffffff ca gfffffebffffffff c gffffffbefffffff ca gfffffffbeffffff ccccaf gffffffffbgfffff accccaa gfffffffffbfffff accccca gfffffffffgbffff accccca gffffffffffgffff facccca gfffffffffffffff acccca gfffffffffffffff accccaafffffffffff gffacccccaffffff gfffffffacccffff gfffffffffffffff gfffffffffffffff gffffffffffffffg ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#9393ffff b,#fe0505ff c,#0807feff d,#ffa8a8ff e,#fa5054ff f,#d0cffdff g,#534ffaff ``` ```image acc cca acc cca acc cca acc cca acc cca acc cca d acc db cca dbb acc ebbe cca ebbd acc ebbd cca bbbd acc dbbb cca dbbe acc dbbe cca ebbe acc ebbd gca ebbd fccebbd gcgbd deccf dbbccg dbbefccf ebbe gcg ebbd fccf ebbd gcg bbbd fccf dbbb gcg dbbe fccf dbbe gcg dbbe fccf ebbe gcg ebbd fccf bbd gcg bd fccf gcg fccf gcg fccf gcg fccf gcg fccf gcg fccf ```  The lines cross each other within area A, forming an intersection. Okay, let's proceed to the next area. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#5656ffff b,#ff0707ff c,#0606ffff d,#ffcbcbff e,#ff4646ff f,#a5a5ffff g,#ff8d8dff ``` ```image g bd bbd ebb bbe dbbe dbbg gbbg gbbd ebbd ebbd ebe dbbe dbbe dbbg gbbg gbbd ebbd ebb bbe dbbe dbbg gbbg gbbd ebbd ebb bbe dbbe dbe d caff ccccccaff ffaccccccccaaf ffaccccccccaaf ffaacccccccaaf ffaacccca faf ```  No intersection in area B, but I'll keep looking. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#7b7bffff b,#ff0707ff c,#0403feff d,#ffb1b1ff e,#ff5151ff f,#bebdfdff g,#3b3bffff ``` ```image f ga c ga c ga c ga c ga c ga c gg c gg c ag c ag c ag c ag db c ebeb ag eb be c bb bd ag be bd c be b ac bd db c dbd db ac db eb c eb be fc eb be c bb bd fc be b c bd b fcbd db dcf eb dbfc eb eb c be bb fc bd be cf bd be fc b bd cf db bd fc db db cf eb eb fc be eb cf bd bb fc bd be cf b be c db bd cf db dbd c eb db cf be e c be cf bd c b cf b c db ca eb c eb ca be c bd ga bd c b ga db c db ga eb c be ga be ccccaf bd accccgf b agcccgf b fgcccga d fgccccaf faccccaf faccccgf agcccgf fgcc ```

The hunt for intersections begins! Let's analyze this image closely. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff4c4cff b,#0506ffff c,#8f8fffff d,#ff0505ff e,#cacaffff f,#ffadadff g,#3e3effff ``` ```image f dd fdf dd adf dd adf f dd ddf adf dd da fda ad adf fda dd ad fda fda adf dd dd fda fda dd adf fdf dd dd fda fdf adf dd dd adf fda dd adf adf dd dd fda adf adf da c dd ad cbbg fdafda ebbbe ad ebbbe ebbbe ebbbe ebbbe egbbc egbbc egbbc gbbc gbbc gbbc gbbc gbbc bbc be be be bc bc bg bg bg gb gb gb cb cb cb eb eb eb be be be bc bc bc bg bg gg gb gb cb cb cb eb eb eb be be be bc ```

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,#fd0808ff b,#7075ecff c,#ef5f58ff d,#b1d7b1ff e,#0b0cfcff f,#99c696ff g,#feb5b5ff ``` ```image g ca acc cc a a ga ac a a ga ag ag a a ag ac ga a ag cc ga a a ga ga a a ga cc ag a a cc ac a a ac cc a a ag ca a a ag ga ga ag a a ga ag b a a be ga cc e a a e cc cadfffffffffffffff e a afddddddddddddddd eb cc gaddddddddddddddd eb a afdddddddddddddd ee ac fadddddddddddddd be a facddddddddddddd be ag fdadddddddddddddde a fdacdddddddddddfe ag fddaddddddddddded ga fddcadddddddddeb a fdddaddddddddeed ga fdddcaddddddeedd a fddddafddddbeddd ca fddddfadddbedddd fffffffffffffffad fdddddacddeddddd ddddddddddddddccf fddddddadedddddd ddddddddddddddadf fddddddaebdddddd dddddddddddddacdf fddddddebddddddd dddddddddddddaddf fdddddeeccdddddd ddddddddddddacddf fddddeeddadddddd ddddddddddddadddf fdddbedddcaddddd dddddddddddacdddf fddfedddddaddddd ddddddddddfaddddf fddeddddddfadddd ddddddddddafddddf fdefdddddddafddd dddddddddfadddddf febdddddddddaddd dddddddddaddddddf ebddddddddddacdd ddddddddcaddddddf eeddddddddddddadd ddddddddadddddddf befddddddddddddccd dddddddcadddddddf be fdddddddddddddad dddedddaddddddddf e fdddddddddddddca dddbeeccddddddddf e fdddddddddddddda dddddbeefdddddddf e fddddddddddddddfa dddddacfeebdddddf eb fdddddddddddddddag dddddaddddeebdddf eb fddddddddddddddfga ddddacddddddeebdf ee ag ddddadddddddddeeb be a dddafdddddddddddeeb be cc ddddddddddddddddf bee e a ddddddddddddddddf bee e ca ddddddddddddddddf bee ed a ddddddddddddddddf dee eb ga ddddddddddddddddf eed eb ag ddddddddddddddddf eeb ee ga ddddddddddddddddf eeb be ag ddddddddddddddddf eeb de a ddddddddddddddddf beb e ac ddddddddddddddddf bee a ddddddddddddddddf cc ffffffffffffffffd a ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#4036f5ff c,#ff8383ff d,#9a9affff e,#0403feff f,#fb3a3dff g,#fdc3c4ff ``` ```image caf gaag faf gaag faf gaag fac gaa fac caa aac caa aac caf aag caf gaag faf gaag faf gaag fac gaa fac caa aac caa aac caf aag bd caf deeed gaag dbeeedfaf dbeeebg dbeeeb gafbeeebd fac beeebd gaa beeebd fac deeebd caa deeeed aac deeeed caa dbeeed aac dbeee caf dbe aag d gff ```  My analysis confirms the presence of an intersection in area A. Time to investigate another area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#fe0606ff b,#4f4af9ff c,#ff8b8bff d,#aca9fcff e,#0606feff f,#fa4549ff g,#ffcacaff ``` ```image c a af aag faf gaag caf aac caa aac caa fac gaag b faf be gaag dee faf deed aac deeb caa eeb aac eeb caa bee fac beed gaag beed faf deed gaag deed faf deeb gaag eeb caa beb aac bee caabeed afeed deed deebf deebaag eeb faf bee gaag bee caf beed aac deed caa deed aac deeb caa eeb faf eeb gaag bee faf bee gaag beed caf deed aac deed caa eeb aac eb caa b fac gaag faf gaag faf aac caa aa ca f g ```  Success! This area contains an intersection point! Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#514dfbff c,#ff8383ff d,#acacffff e,#0606feff f,#fe4041ff g,#ffc8c8ff ``` ```image g ca acf ff a a ca fc ag a ga ac ag a a ag fc ga a ag ff ga a a ca ca a a ga cf ag a a ff ac a a fc ff a a ac ca a a ag ga ga ag ag ga ga ac b a a de ca ff de a a e cf cf ed a a ed ff ga eb a ag be fc ga be a ac de ac a e ga fc e ag a ed ga cf ed ag a eb ca ca be a ag be cf ga de a ag e ff a e a fed fc eb a ebff ac be a a de ca ag de a ga e ga ag e ag ga ed a a eb ac ca eb a a be ff cf de a b a de ca deeff e a deed ed ga fcdeed ed ag a eed eb ga ac eed be ac a beb be a ag beb de ff beb e a dee e cf dee ed a deed ed ga deed eb ag eed be ga eed be ac beb de a beb e fc bee a cf a ```

I'm on the case! Let's uncover any intersections hidden in this image. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff7474ff b,#4e4effff c,#ff0303ff d,#0606ffff e,#9494ffff f,#ff3838ff g,#ffbabaff ``` ```image g fccccccfag gc gafccccccagg c gafccccccfag ca ggaccccccfag ac gafcccccfag c gafcc cg ff gc c cg ff gc c ca ac c cg ff gc c ca ac c cg ff gc c cg af gc c ca ac c cg ff gc c ca ac c cg ff gc c cg af c c e edd edd edd edd edd edb edb bdb bdb bdb bdb bdb bdb bdb bdb bdb bdb bdb bde bbbeeee bde eeebbbddddddddddddddddbbbeeee dde eeeebbbddddddddde ```

Let's examine this image for potential line intersections. I've noticed 2 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#0606fcff b,#fb0908ff c,#8b98e5ff d,#b1d7b1ff e,#98c796ff f,#464ce9ff g,#d5685dff ``` ```image aa fa ff af a fa ca aa a cac a aa ac cac a aa ac eeeeeeeeeeeeeeeeeeeeeeeecafeeeeed a dddddddddddddddddddddddaaddddddde ff dddddddddddddddddddddcafdddddddde a ddddddddddddddddddddaadddddddddde ca ddddddddddddddddddeafddddddddddde a dddddddddddddddddfaddddddddddddde ca ddddddddddddddddafdddddddddddddde ac ddddddddddddddfaeddddddddddddddde a dddddddddddddaaddddddddddddddddde ac dddddddddddfacddddddddddddddddddedgbbbbbeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ddddddddddaadddddddddddddeggbbbbbbgd ebedddddddffdddddddddddddddddddddddddddddde ddddddddfacdddddddggbbbbbbggeddde ddbgdddddddadddddddddddddddddddddddddddddde dddddddaadeggbbbbbbgeddddddddddde dddbgddddddfaddddddddddddddddddddddddddddde dddgggagbbbggddddddddddddddddddde ddddbgddddddaddddddddddddddddddddddddddddde dddbaadddddddddddddddddddddddddde dddddbbdddddcadddddddddddddddddddddddddddde dddafddddddddddddddddddddddddddde ddddddbbdddddacddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde dddddddbbdddddaddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddbbddddacdddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde dddddddddgbddddadddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddddgbdddffddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde dddddddddddgbdddaddddddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddddddebedfadddddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddddddddbedadddddddddddddddddddddddde dddddddddddddddddddddddddddddddde dddddddddddddddbgcaddddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddddddddddbgaedddddddddddddddddddddde dddddddddddddddddddddddddddddddde dddddddddddddddddbgadddddddddddddddddddddde dddddddddddddddddddddddddddddddde ddddddddddddddddddbacddddddddddddddddddddde eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed dddddddddddddddddddbaddddddddddddddddddddde ddddddddddddddddddddafdddddddddddddddddddde dddddddddddddddddddddabddddddddddddddddddde dddddddddddddddddddddfabdddddddddddddddddde ddddddddddddddddddddddagbddddddddddddddddde ddddddddddddddddddddddcaebdddddddddddddddde dddddddddddddddddddddddadebedddddddddddddde dddddddddddddddddddddddcaddbgddddddddddddde ddddddddddddddddddddddddacddbgdddddddddddde dddddddddddddddddddddddddadddbgddddddddddde dddddddddddddddddddddddddafdddbgdddddddddde ddddddddddddddddddddddddddaddddbbddddddddde ddddddddddddddddddddddddddffddddbbdddddddde dddddddddddddddddddddddddddadddddbbddddddde dddddddddddddddddddddddddddcadddddgbdddddde ddddddddddddddddddddddddddddaddddddgbddddde ddddddddddddddddddddddddddddcaddddddgbdddde dddddddddddddddddddddddddddddacddddddebddde ddddddddddddddddddddddddddddddaddddddddbede ddddddddddddddddddddddddddddddafddddddddbge dddddddddddddddddddddddddddddddadddddddddbg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeebg a b ca a ca a a ac a ff a cf a ca a a ac a ff a ff a ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#0403feff b,#fe0505ff c,#7c7cfeff d,#ffadadff e,#c3c3ffff f,#3a34f8ff g,#f65059ff ``` ```image faafe eaaac faafe eaaac caafe efaac caafe efaac caaae efaaf caaae efaaf caaac faafe eaaac faafe eaaac caafe efaac caafe efaac ddgggb caaae dddggbbbbbbbbb efaaf ddgggbbbbbbbbbbbggddd caaae dddggbbbbbbbbbbbgggdd efaaf ddgggbbbbbbbbbbbggddd caaac dddggbbbbbbbbbbbgggdd faafggbbbbbbbbbbbggddd ddgggaaagbbbbbbgggdd dbbbfaafgggddd ggaaac caafe eaac ce ```  Incredible, there's actually an intersection in area A! Now, let's turn our attention to the next spot. Let's see what secrets area B holds.  ```palette Key,Color ,#fefefeff a,#0908fdff b,#fe0505ff c,#605bf9ff d,#fec7c7ff e,#b3b3feff f,#fe8585ff g,#f93a40ff ``` ```image bbg aac fbbgd eaae dgbbd cac gbbd eaae gbbd cac gbbf aae gbbf caa fbbf aae fbbf eaa fbbg aac dbbg eaa dbbg cac dbbgd eaae dbbbd cac dgbbd aae gbbd caa gbbd aae gbbf eaa fbbf aac fbbf eaa fbbg cac fbbg eaae dbbg cac dbbg aae dbbgd caa dbbbd aae gbbd eaa gbbd aac gbbf eaa gbbf cac fbbfeaae fbbfcac fbbgaae dbbcaa dbbaae dbgaa dbaac dgaad aacd eaabd caabf eaagbf caabbf aacbbf caafbbg aaedbbg eaa dbbg aac dbbgd eaa dbbbd cac gbbd eaae gbbd cac gbbd aae gbbf caa fbbf aae fbbf eaa fbbg aac fbbg eaa dbbg cac dbbg eaae dbbbd cac dgbbd aae gbbd caa gbbd aae gbbf eaa gbbf aac fbbf eaa fbbf cac fbbg eaae dbbg cac dbbg aae dbbgd caa dbbbd aae dgbbd caa gbbd aac gbbd eaa gbbf aac fbb ```  Gotcha! I've found the intersection hiding in area B! The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#0404feff b,#fe0606ff c,#7777ffff d,#feaeaeff e,#bfbfffff f,#3a34f9ff g,#f5515aff ``` ```image e eaa fa cf af a cae ea af ae cae ea aa ae cae a aa fc eac a aa cf eac a fa ca eaf a fa ea af ae fae a af ac cae dgbbbbb a aa ddgbbbbbggd bd ff cae dgbbbbbbgd bd a aa ddgbbbbbggd bd cf dggagbbbgd bg a gaa bg ea ac bb ae bb a gb ac gb a db fc db a db cf bd a bdea bgae bga bae ba ff ab cfb adb eadb ae bd ea bd ae bd a bg fc bg a bb cf bb a gb ca gb a db ea db ae db a bd ac bd a bd ff bg a b cf a ea ae a ac a fc a cf a ea ae ea ae a fc a cf a ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#fb3736ff b,#0e0dfcff c,#f3d9e3ff d,#8387f5ff e,#fe0303ff f,#add4adff g,#f98b88ff ``` ```image c ae gega ce ec ec ce eg eg aa e ge aa ce e ec ge eg ec aa ce ge ag ce e ec ga eg ec aa ce ge eg ce e ec aa eg e aa ge ge ec ce ce ec eg eg e aa aa ge e ce ge ec ec eg e aa ag ge e ce ge ec ec eg ce aa eg ge e ce aa ec e eg ge aa ec ge ce ce ag ec e eg ga ec ce eg ce ffaaffffffffffff fffeffffffffffff fffgefffffffffff ffffefffffffffff fffffeffffffffffcb fffffegffffffffbbd ffffffefffffdbbd ffffffaaffdbbfff fffffffebbbfffff ffffffbbbfffffff ffffbbdfegffffff fdbbdffffeffffff dbbfffffffaafffff dbbffffffffffefffff bbb ffffffffffgeffff bbd fffffffffffeffff cbbd ffffffffffffefff dbbc ffffffffffffegff dbb fffffffffffffeff dbb aa bbd e cbbd ge cbbd ec dbbc e cdbbbb ag ddbbbbbbddc e cddbbbbbbdd cdbbbbbbbdc ddbbbbbbdd bbbbdc ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#fb4649ff b,#0906fcff c,#ffcbcbff d,#a8a6fcff e,#ff0606ff f,#5857feff g,#ff8c8cff ``` ```image eeg ceec aea ceec gea eeg gee aea ceec aea ceeg gee eeg fb geec dfbbb aea dfbbbfd ceec dbbbbf aea dbbbbf eeg fbbbbd geafbbbfd dbbbbfd dbbbbbd dbbbbfaea fbbbbd ceec fbbbbd gee dfbbbfd eeg dfbbbfd geec bbbbf aea bbf ceec d aea eeg gee eeg ceec aea ceec gee eeg gee aea ```  My analysis confirms the presence of an intersection in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#ff3838ff b,#0a09fdff c,#ffd9d9ff d,#b6b6ffff e,#ff0303ff f,#6767feff g,#ff8d8dff ``` ```image c ae gega ce ec ec ce eg eg aa e ge aa ce e ec ge eg ec aa ce ge ag ce e ec ga eg ec aa ce ge eg ce e ec aa eg e aa ge ge ec ce ce ec eg eg e aa aa ge e ce ge ec ec eg e aa ag ge e ce ge ec ec eg ce aa eg ge e ce aa ec e eg ge aa ec ge ce ce ag ec e eg ga ec ce eg e aa e ge ec ce b ag dbbd e dbbd ga fbb efbb bbb bbf eg dbbd e dbbd aa fbb e fbf ge bbf ec dbbd ce dbbd eg fbb e fbb aa bbf e bbf ge dbbd ec dbb e dffbbb ag dfbbbbbbfd e dfbbbbbbfd dffbbbbbffd dfbbbbbbfd bbbbfd ```

Time to put on my detective hat and find those intersection points! It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0303ff c,#9195f5ff d,#ffaeaeff e,#4a4dfaff f,#f2635dff g,#add4adff ``` ```image eaa eae ee eae a eae ca eae a eae a eae ac cae a cae ac cae a cae ee cae a caa ca caa a caa ca caa ac caa a caa ac e a ee a ca a ca ac a ac a ee a ce a ca a a ac a ee a ee a ca bd a bd a bd ac bd a bd ac bd a bd ee bd a bd ca bd a bd gcaggggggggggggg bd ggacgggggggggggg bd gggagggggggggggg bd gggaeggggggggggg bd ggggaggggggggggg bd ggggeegggggggggfb bd gggggagggggggfbf bd gggggeaggggbbfgg bd ggggggaggbbfgggg bd ggggggcabfgggggg bd gggggbbacggggggg bd ggfbbgggaggggggg bd fbbgggggacgggggg bd fbbggggggggagggggg bd fbf gggggggggeeggggg bd fbf ggggggggggaggggg bd bbf ggggggggggeagggg bd bbd gggggggggggagggg bd bbd gggggggggggcaggg bd dbbd ggggggggggggaggg bf dbb gggggggggggggagg bf dbb ac bf fbb a bf fbf ee bf fbf a bbbf ee d a ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#0404feff b,#fe0809ff c,#7c7bfeff d,#ffa4a4ff e,#3b34f8ff f,#fc575aff g,#c0bffeff ``` ```image gaa eac gaag eae gaag cae aag caa aac gaa eac gaag eae gaag df cae dfbb aag dfbbbf cae dbbbbf aac dbbbbf caa dbbbbd eacfbbbbd gaabbbd fbeaed dfbbbfaag dfbbbfd cae dfbbbf aag dbbbbf cae dbbbbf aac dbbbbd caa bbbd eac bd gaa eac gaag eae gaag cae aac caa eac gaa eac gaag ```  Eureka! There's definitely an intersection in area A! The image features one single intersection point.

1

```palette Key,Color ,#fefefeff a,#0404feff b,#ff0404ff c,#7e7effff d,#ffb4b4ff e,#3b3bffff f,#ff6c6cff g,#c8c7feff ``` ```image g eaa eae ce cae a cae ca cae ag cae ga cae ag cae a cae ec cae a cae ee cae a cae ca cae a cae ga caa ag caa a caa ac e a ee a ce a ga ag ga ac a ec a ce a ga ag ga ac a ec a ce a ca bd ag bd ga bd ag bd a bd ec bd a bd ee bd a bd ca bd a bd ga bd ag bd a bd ac bd a bd ee fb bd a fbf bd ce bbf bd a bbf bd gabd bd dbbag bd dbbd ga bd dbb ac bd fbb a bd fbb ec bd fbf a bd bbf ce bf bbf a bf bbd ga bf dbbd ag bf dbbd ga bf fbb ac bf fbb a bf fbf ec bf fbf a bbbf ce d a ```

Time to put on my detective hat and find those intersection points! These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#0605fdff b,#fb0a0aff c,#eb6f68ff d,#4447f0ff e,#b1d7b1ff f,#979cf3ff g,#99c697ff ``` ```image f b fa cbeeeeeeeeeeeeeeeeeeeeeeeeeeg a ebeeeeeeeeeeeeeeeeeeeeeeeeeeg af ecceeeeeeeeeeeeeeeeeeeeeeeeeg dd eebeeeeeeeeeeeeeeeeeeeeeeeeeg fa aebceeeeeeeeeeeeeeeeeeeeeeeeg a faebeeeeeeeeeeeeeeeeeeeeeeeeg af eadbceeeeeeeeeeeeeeeeeeeeeeeg ad eeagbeeeeeeeeeeeeeeeeeeeeeeeg fa eegabgeeeeeeeeeeeeeeeeeeeeeeg a eeedabeeeeeeeeeeeeeeeeeeeeeeg a eeeeabeeeeeeeeeeeeeeeeeeeeeeg ad eeeeeabeeeeeeeeeeeeeeeeeeeeeg da eeeeedaeeeeeeeeeeeeeeeeeeeeeg a eeeeeeadeeeeeeeeeeeeeeeeeeeeg a eeeeeeeaeeeeeeeeeeeeeeeeeeeeg af eeeeeeecaeeeeeeeeeeeeeeeeeeeg da eeeeeeeeadeeeeeeeeeeeeeeeeeeg fa eeeeeeeebaeeeeeeeeeeeeeeeeeeg a eeeeeeeeebaeeeeeeeeeeeeeeeeeg af eeeeeeeeebddeeeeeeeeeeeeeeeeg dd eeeeeeeeegbafeeeeeeeeeeeeeeeg fa eeeeeeeeeebeaeeeeeeeeeeeeeeeg a eeeeeeeeeecbdaeeeeeeeeeeeeeeg af eeeeeeeeeeebeafeeeeeeeeeeeeeg ad eeeeeeeeeeecbeaeeeeeeeeeeeeeg fa eeeeeeeeeeeebefaeeeeeeeeeeeeg a eeeeeeeeeeeebceadeeeeeeeeeeeg a eeeeeeeeeeeeebeeaeeeeeeeeeeeg af eeeeeeeeeeeeebcegaeeeeeeeeeeg da eeeeeeeeeeeeeebeeddeeeeeeeeeg a eeeeeeeeeeeeeebgeeageeeeeeeeg a eeeeeeeeeeeeeegbeeeaeeeeeeeeg af eeeeeeeeeeeeeeebeeedaeeeeeeeg dd eeeeeeeeeeeeeeecbeeeafeeeeeeg fa eeeeeeeeeeeeeeeebeeeeaeeeeeeg a eeeeeeeeeeeeeeeecbeeefaeeeeeg af eeeeeeeeeeeeeeeeebeeeeadeeeeg dd eeeeeeeeeeeeeeeeecceeeeaeeeeg fa eeeeeeeeeeeeeeeeeebeeeegaeeeg a eeeeeeeeeeeeeeeeeebceeeeddeeg a eeeeeeeeeeeeeeeeeeebeeeeeageg ad eeeeeeeeeeeeeeeeeeebceeeeeaeg fa eeeeeeeeeeeeeeeeeeeebeeeeedag a eeeeeeeeeeeeeeeeeeeebgeeeeeaf a eeeeeeeeeeeeeeeeeeeegbeeeeeea af eeeeeeeeeeeeeeeeeeeeebeeeeeeda da eeeeeeeeeeeeeeeeeeeeecbeeeeegaf fa eeeeeeeeeeeeeeeeeeeeeebeeeeeg a a eeeeeeeeeeeeeeeeeeeeeecceeeeg fa af cb eeeeeeeeeeeeeeeeeeeeeeebeeeeg dd dd bb eeeeeeeeeeeeeeeeeeeeeeebceeeg a fa cbc eeeeeeeeeeeeeeeeeeeeeeeebeeeg a a bb eeeeeeeeeeeeeeeeeeeeeeeebceeg da af cbc eeeeeeeeeeeeeeeeeeeeeeeeebeeg af ad bb eeeeeeeeeeeeeeeeeeeeeeeeebgeg afa cbc eeeeeeeeeeeeeeeeeeeeeeeeegbeg fa bb eeeeeeeeeeeeeeeeeeeeeeeeeebeg cbc eeeeeeeeeeeeeeeeeeeeeeeeeecbg bb eeeeeeeeeeeeeeeeeeeeeeeeeeebg ebc gggggggggggggggggggggggggggcb bb b ebc cc bb b ebc bc bb b ebc b bb b bc b bb eb bc b bb cb bc b bb cc bc b cb bc bc b cb bcbb b ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#0403fdff b,#fe0708ff c,#fa5256ff d,#3c2ceeff e,#fea9a9ff f,#c7c5fdff g,#7573fdff ``` ```image ebb bbe ebc bbe cbc bbe cbc cb ff eb fad be aag eb faaf be gaa bb dagbbe faacbc gafbbe ddcbc fagbb aacbc dadbb aadbe gaabe dadb faace gaac dade faad gaaf dad eaag caaf edad baag ebaa bda bbag cbaaf bdad ccaag ebfaaf bcgad bb dag bbefaaf ebb gaa bbe dad ebb faag bbe gaaf cbc dad bbe faag ebb gad cbc aag ebb faa cbe ga ebb dd bbe fag ebb aaf bbe dad cbc faag bbe faaf cbc gad bb aag cbc faaf ebb gaa ebb faaf bb gaaf eb dad be faag ec faaf be dad bc aag bbe faa cbc ga ebb dg cbc faf ebb aaf bbe dad ebb faag ebb dad bbe aag cbc faaf bbe gaa cbc da ebb fa cbc g ebb cbe ebb bbe ebb bbe cbc cbc bb cb eb cc eb be bb bbe ebc bbe cbc bbe cbc cbc ebb bbe ebb bb eb b ```  I observe an intersection inside area A. One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#0706feff b,#fd0708ff c,#fc4e50ff d,#524ffcff e,#ff9898ff f,#a3a3ffff g,#eed9e9ff ``` ```image f b fa ec a b af cc dd b fa a be a fa b af adbe ad agb fa gabg ga dab ag ab ad ab da fa ga ad ag a af ca da ad fa bag a gba af bdd dd gbaf fa bga a ebda ag b af ad cc a fa b fa ga cc ad ag b ag ad be ga da b dd ga bg ag a gb a af bg da da eb af fa b a a ec fa af b ad ad cc a fa b ga a be dd ag b ag ad be ga da gb da ga bg af ag eb a af b fa da eb ad fa b a a cc fa af eb b dd dd bb ce ag fa ebe b ga a bb be da af ebe gb af ad bb bg afa ebe gb fa bb b ebe eb bb b ebe cc bb b ebe cc bb b ebc be bb b gbc bg bb gb gbc bg bb eb gbc b cbg ec gbc b cbg cc gbc b cbg be gbc b cbg bebc gbg ```

I'm ready to tackle this image and find those intersections! There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0606fdff b,#fb0b0aff c,#4949f4ff d,#e1ceebff e,#ee6e67ff f,#aed5aeff g,#8c92f1ff ``` ```image ffffffffffffffffffffffff fffffffffffffffffffcffff fffffffffffffffffffaffff ffffffffffffffffffagffff ffffffffffffffffffafffff fffffffffffffffffafeffff ffffffffffffffffgabbffff ffffffffffffffffabefffff fffffffffffffffcafffffff ffffffffffffffbaffffffff fffffffffffffbacffffffff fffffffffffebfafffffffff ffffffffffbbfagfffffffff fffffffffbbffaffffffffff fffffffebeffagffffffffff ffffffbbfffgafffffffffff fffffbbffffaffffffffffff fffffffffffffffffff ffffbeffffcaffffffffffff fffffffffffffffffff ffebffffffafffffffffffff fffffffffffffffffff fbbffffffccfffffffffffff fffffffffffffffffff dbefffffffaffffffffffffff fffgfffffffffffffff ebd ag fffacffffffffffffff bb a ffffaffffffffffffff be ad fffbcafffffffffffff ebd da ffffbabffffffffffff bb ad ffffffabbefffffffff be ga ffffffccfbbbfffffff dbd a fffffffafffebbeffff eb cc fffffffgafffffbbbff bb a ffffffffagffffffebbe dbe ag fffffffffafffffffffbbe eb a fffffffffccffffffff ebbd bb ag ffffffffffaffffffff dbbe dbe da ffffffffffgafffffff ebbd ebd ad ag dbbe bb ga a ebbd be a cc dbbe ebd cc ad ebbbb a da de cc ag a a ag ga da ad ad da ga cc a a gc ga a ad cc a a cc ag a da ga ad ag da a a cc ga a a da cc ag a a ag ga a ad ad da da ag ad a ga ga a ad cc a a cc ag a a ga ag ag da a ad cc ga a a da cc ag a a cc cc a aag da ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0907fcff b,#fd0709ff c,#6058f6ff d,#fdc4c6ff e,#f44954ff f,#b8b9ffff g,#ff9090ff ``` ```image ff faa aac faaf cac d aaf bbcaa dbbbaac gebaaeg dcaabbed aaebbbbg faadebbbbed cac gbbbbeg faaf debbbbed caa gbbbbeg aac debbbbed faa gbbbbeg cac debbbbg faaf gbbb caa de aac faaf cac aaf caa aac ```  Amazing! This area was hiding an intersection all along! Onward to the next region of interest. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#0706fdff b,#fd0708ff c,#5043f1ff d,#fda9aaff e,#f64a52ff f,#e6d7f0ff g,#9490fbff ``` ```image gf gaa aag gaa faag cac faaf cac faaf ed cacfebb gaadbbbd aacbbef gaabbe aaebd caaef eaae dbcac dbbaaf ebbcac fbbbgaaf dbbbdaag ebbe gaa febbd aag dbbbd gaa ebbef faag febbe cac dbbbd faaf dbbef cac ebbe gaaf dbbbd cag dbbbf gaa ebbe aag fbbbd gaa dbbbd faag ebbe cac febbd faaf dbbbd cac ebbef faaf ```  The lines cross each other within area B, forming an intersection. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#0606feff b,#fe0909ff c,#4c48fbff d,#feb2b2ff e,#fd5b5dff f,#c9c9ffff g,#8e8effff ``` ```image g a ag fa afe gabb abe ca ba bcc dbda bb ag be fa dbd af eb fa bb a dbd ga eb a bb cc be a f eb ag ag bb a a be af bca dbd fa eae bb a abbd be ga cc bbb dbd a a dbbd eb cc ga bbe bb a af ebbd dbd ag a bbe eb a cc ebbd bb af a bbe be fa fa ebbd eb af ag dbbe bb ga a ebbd be a cc dbbe dbd cc af ebbbb a fa de cc ag a a ag ga fa af af fa ga cc a a gc ga a af cc a a cc ag a fa fa af ag fa a a cc ga a a fa cc ag a a ag ga a af af fa fa ag a a ga ga a af cc a a cc ag a a ga af af fa a af cc ga a a fa cc ag a a cc cc a aag fa ```

I'm optimistic that I'll find some intersections in this image. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B.  ```palette Key,Color ,#fefefeff a,#f64440ff b,#0606feff c,#f47f7aff d,#8f9ae7ff e,#add4acff f,#fe0506ff g,#ffc2c2ff ``` ```image g cf fcf gf fg fg gf f fc fg f f aa ac f f gf ca fg f f cf aa f f gf cf fg fg f f fg fc f f ac ca f f ca gf f fc cf f f aa gf f fg gf f fg fg f f ac ac f b f cf db ca fg db f gf db cf fc db f f db gf ca db fg f dbeeeeeeeeeeefeeee gf dbeeeeeeeeefceeee fg dbeeeeeeeefeeeee f edbeeeeeeaaeeeee aa eedbeeeeefeeeeee f eeedbeeeaaeeeeee gf eeeedbeefeeeeeee fg eeeeedbcfeeeeeee f eeeeeedbeeeeeeee ac eeeeeeefbeeeeeee f eeeeeefedbeeeeee cf eeeeeefeedbeeeee fg eeeeefceeedbeeee gf eeeeefeeeeedbeee fc eeeeaaeeeeeedbee f eeeefeeeeeeeedbe ca eeeaaeeeeeeeeedb f eeefeeeeeeeeeeedb gf gf b fg f b f gf b aa fg b f f b eeecfeeeeeeeeeeee fc b eeeefeeeeeeeeeeee f b eeeeefeeeeeeeeeee ac b eeeeefaeeeeeeeeee f b eeeeeefeeeeeeeeee ca b eeeeeecfeeeeeeeee f b eeeeeeefeeeeeeeee gf bbbbbbbbbbbbbbbbbbbbbbdddddddd eeeeeeeefeeeeeeee f ddddddddbbbbbbbbbbbbbbbbbeeee gf eeeeeeeeefeeeeeee fg eeeeeeeeeaaeeeeee f eeeeeeeeeefeeeeee fc eeeeeeeeeecfeeeee f eeeeeeeeeeefceeee ac eeeeeeeeeeeefeeee f eeeeeeeeeeeeceeee ca eeeeeeeeeeeeeeeee f gf f ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#fb4347ff b,#0605fdff c,#fe898aff d,#4644fdff e,#c1c1ffff f,#fd0406ff g,#ffccccff ``` ```image d ffg bd cfa bbd ffc ebbd cff ebbd afc ebbd gff ebbd afc ebbd gffg ebbd afa ebbd gffg ebbd cfa ebbd ffg ebbd cfa ebbd ffc ebbdcff ebbdfc ebbb abbd gffbbd afaebbd gffg ebbd cfa ebbd ffg ebbd cfa ebbd ffc ebbd cff ebbd afc ebbd gff ebbd afc ebbd gffg ebbd afa ebbd gffg ebb cfa eb ```  The lines cross each other within area A, forming an intersection. Alright, let's examine the next area. Let's see if area B yields any clues.  ```palette Key,Color ,#fefefeff a,#ff5151ff b,#0505ffff c,#ffa4a4ff d,#6c68faff e,#bebeffff f,#fe0707ff g,#680aa0ff ``` ```image ffc cff afa cffc afa ffc cff ffa cff afa ffc cff ffc cff afa e ffc bbbbbbbbbbbbbddgggddddddde bbbbbbbbbbbbbbbbbbbbbbbbbd eeeeeeeeedggddddddd afa cffc afa ffc cff ffa cff afa ffc aff ffc cff c ```  There's no doubt about it - this is an intersection in area B. The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#ff4141ff b,#0202ffff c,#fe8484ff d,#5e5effff e,#c1c1ffff f,#fe0506ff g,#ffc7c7ff ``` ```image g cf fcf gf fg fg gf f fc fg f f aa ac f f gf ca fg f f cf aa f f gf cf fg fg f gf fg fc f f ac ca f f ca gf f fc cf f f aa gf f fg gf f fg fg f f aa ac f d f cf eb ca fg eb f gf eb cf fc eb f f eb gf ca eb fg f eb f gf eb fc fc eb f f eb ac aa eb f f eb ca cf eb f fg ebcf f eb ac gfb f fgeb cf f eb fg fc eb gf f eb fc ac eb f f eb ca ca eb f f eb gf cf eb fg f eb f gf eb aa fg eb f f eb cf fc eb fg f eb f ac eb ac f eb f ca eb cf f eb fg cf ebbbbbbbbbbbbbbbbbbbbdddddddeeeee gf f eeeeeddddddbbbbbbbbbbbbbbb gf f fg aa f f fc gf f fg ac f f c ca f gf f ```

The hunt for intersections begins! Let's analyze this image closely. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0303feff c,#f3918bff d,#aeaefeff e,#515bebff f,#f33f3fff g,#afd5aeff ``` ```image d ebbb ebbe gggggggggggggggggggggggg dbbbd gggggggggggggggggggggggg ebbbd gggggggggggggggggggggggg ebbe gggggggggggfaggggggggggg dbbbd gggggggggcafacgggggggggg ebbbd ggggggggaagggagggggggggg ebbe ggggggaagggggffggggggggg dbbbd ggggfacgggggggagggggggebbbd ggfafgggggggggcagggebbeg caaggggggggggggfbbbegggg aagggggggggggebbbfggggggg aacgggggggggggbegggffgggggg fac ggggggggggbegggggagggggg caf gggggggggbeggggggcaggggg aa ggggggggbeggggggggacgggg aa gggggggbeggggggggggagggg fac ggggggbegggggggggggffggg caf gggggbegggggggggggggaggg caf ggggbeggggggggggggggcagg aa gggbeggggggggggggggggagg aa bd a fac bd fc caf bd a aa bd ca bd a bd a bd ac bd a bd cf bd a b a b ac b a b ff db a db ca db ac db a db ff db a db ca db ac db a db ff db a db ca e ac a ff a ca a a fc a ca a a ac a ca a a ac a cf a a ac a ff a ca ac a ff a ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0504fdff c,#fe7b7cff d,#9e9effff e,#635ffbff f,#f93238ff g,#fec2c2ff ``` ```image gg caag caaaaf gaaafgaag gfaafg caa gfaaac fac caaac gaag caaafg faf gfaafg gaag gfaaac caf debb caaac aac debbbbb caaac gaag debbbbbed caaafg faf debbbbbbed gfaafg gfbbbbbbed aaac debbbbbed ac ebbbbbbefc g dbbbbed gaa dbbed faf dbbe gaag dbbe caf dbbe aac dbbe caa dbbe fac dbbe gaag dbbe caf dbbe aac dbbe caa dbbe fac dbbe gaag dbbe caf dbbd aac ebbd caa ebbd fac ebbd gaag ```  Case closed! This is definitely an intersection point in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#fe0607ff b,#0403feff c,#ff8d8dff d,#b8b8ffff e,#6b6bffff f,#fc4648ff g,#ffcdcdff ``` ```image d ebbb ebbe dbbbe ebbbd ebbe fa dbbbe cafac ebbbd gaa a ebbe aag ff dbbbe fac a ebbbd caf ca ebbe gaa fbbbe aa ebbba aag be ff fac be a caf be ca gaa be ag aag be a fac be ff caf be a gaf be ca gaa be ag aag bd ga fac bd ac caf bd a aa bd ca bd ag bd ga bd ac bd a bd ca bd ag bd ga b ac b a db ff db a db ga db ac db a db ff db a db ga db ag db a db ff eb a eb ca e ag a ff a ca ag ga fc a ca ag ga ac a ca ag ga ac a ff a ga ac a ff a ga ac a ff a ```

Alright, let's get to work and investigate this image for intersections. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#ec5d54ff b,#0e0cf9ff c,#fca4a2ff d,#757bebff e,#fd0807ff f,#99c696ff g,#b0d6b1ff ``` ```image c e ec ce e ea e e ae e ec ce e aa e ec ce e ea e ec ce e ec ce e ae e ec ce e aa e ec fggggggggggggaef gggggggggggggegf ggggggggggggeagf gggggggggggfeggf gggggggggggefggf ggggggggggaegggf ggggggggggeggggf gggggggggeaggggf ggggggggfegggggf ggggggggeggggggf gdddbbbbbbbbbb gggggfddbbbbbbbbbbbbbbdddd dddbbbbbbbbbbbbbbdddggggf bbddg ggggggecgggggggf bd gggggaeggggggggf bd gggggegggggggggf bd ggggeagggggggggf b ggggeggggggggggf ea fffffffffffffffff b gggefggggggggggf aec ggggggggggggggggggb ggaegggggggggggf ee ggggggggggggggggdb ggeggggggggggggf ee gggggggggggggggdb geaggggggggggggf cea ggggggggggggggdbg fegggggggggggggf aecgggggggggggggdbgg effffffffffffffg eefggggggggggbbggg ae feeggggggggbbgggg e ggaeagggggbbggggg ec ggggaeaggbbgggggg ce ggggggeebbggggggg e gggggggbbeggggggg aa ggggggbdgaeaggggg e gggggbdggggaeaggg ec ggggbdgggggggeefg ce gggbfggggggggggee e gfbgggggggggggggaea ea dbggggggggggggggg aec e dbgggggggggggggggg eec e dbggggggggggggggggg ee ae db ggggggggggggggggg cee db ggggggggggggggggg bb fffffffffffffffff bb bb bb bd bd bd ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#f75159ff b,#0505feff c,#feb0b0ff d,#8383ffff e,#fe0707ff f,#c9c9ffff g,#3e38f8ff ``` ```image d db dbb dbbd dbbd gbbd ec gbbf eeac gbbf aeeea gbbf aeeec gbbf ceeeec fgbbf ceeeac fbbgf aeeea fbbg aeeec fbbg caeeec fbbg ceeeabbg aabbg dbbgeec dbbdcaeeec dbbd ceeeac dbbd aeeea gbbd aeeec gbbf caeeec gbbf ceeeac gbbf aeeea fgbbf aee fbbbf ca fbbgf fbbg fbbg fbbg bbg bg d ```  Oh my, look at that! It's an intersection in area A! Okay, let's proceed to the next area. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#ff5656ff b,#0303ffff c,#ffaaaaff d,#a7a7ffff e,#ff0808ff f,#6b15a8ff g,#4545feff ``` ```image aea cee eec aea ceec eea cee eec aea cee eea aee ceec aea cee eec aee ceec eea cee eec dddd ddddfffggggbbbbbbbbb dgggggbbbbbbbbbbbbbbbbbbbbbbggg bbbbbbbbbbbbggfffdddddd gdddddd aee eec aea cee eec aee ceec aea cee eec aea ceec eea cee eec aea cee eea aee ceec ```  As I suspected, there's an intersection within area B. I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#ff4b4bff b,#0404feff c,#ff9292ff d,#9393ffff e,#ff0606ff f,#efd3e2ff g,#4738f0ff ``` ```image c e ef ce e ec fe ef ae e ec fe e aa e ec ce e aa fe ef ce e ec fe ef aa e ec ce e aa e ef ce e ea fe ef ce e ec fe e ffddggbbbbbbbbb fdggggbbbbbbbbbbgggddf ddggbbbbbbbbbbbggddff bgdddf ec bd ce bd e bd aa bf fe ea fbf ef aec fb ce eef db e fee db ec cea db fe aec gb ef eef gb aa fee gb e cea bb ec aec bg fe eebg e bge aa bd cea e bd aec ef bd eef ce fbf fee e fbf cea aa db aec fe db eef ef db fee ce db cee gb gb gb bg bg bg bd bd ```

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,#f76561ff b,#0707feff c,#fe0a0aff d,#aeaefeff e,#ffb4b4ff f,#5656feff g,#b0d6b0ff ``` ```image e aca acc ecc ecce ecce cca cca aca acc acc ecce ecce cce cca aca acc acc ce c ec ca c ec ac ce c ac ce c ec ca c ec ac ce c ac ce c b ec db ca db c bd c bd ac bf ce bf c bf ac bb ca fb c fb ec fb ca db c db c bd ac bd ce bd c bf ac bf ca bb c bb ec fb ca fb ce db c db ac db ggcaggggggggggggg bd gggcggggggggggggg bd gggacgggggggggggg bf ggggcaggggggggggg bf gggggcggggggggggg bf ggggggcgggggggggg bb ggggggccggggggggg fb gggggggcggggggggg fbbbbbbfffddd ggggggggcgggggggg ddddfffbbbbbbbbbbbbbbbfffddggggggggacggggggg dddfffbbbbbbbbbbbbbgggg ggggggggggcgggggg ggggggggggacggggg gggggggggggcagggg ggggggggggggcgggg ggggggggggggggggg ggggggggggggggggg ggggggggggggggggg ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#ff7a7aff b,#0a07fcff c,#ff0606ff d,#c0c0feff e,#ffc2c2ff f,#6161feff g,#ef3848ff ``` ```image acc cca ecce acc gcg ecca acce gcg cca ecce acc ccg ecce acc gcg ecca acce gcg cca ecce ddddd acc bbbbbbbbbbbbfffffffgggddd fbbbbbbbbbbbbbbbbbbbbbbbbbbf ddddddffffffbbbbbbbf gcg ecca acce gcg cca ecce acc ge ```  Aha! I've found an intersection inside area A! I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#ff7d7dff b,#0707ffff c,#ff0303ff d,#afafffff e,#ffc1c1ff f,#5656ffff g,#ff3838ff ``` ```image a gcg acg acc ecce ecce cca gca gcg acg acc ecce ecce cca gca gcg acg acg ca c ec ca c ec gg ce c ac ca c ec ga c ec gg ce c ac ca c b ec db gg db c bd ec bd gg bf ce bf c bf ac bb ca fb c fb ec fb gg db ce db c bd gg bd ce bd c bf ac bf ca bb c bb ec fb gg fb ce db c db ag db ce bd c bd ac bf ca bf c bf ec bb gg fb ce fbbbbbbfffddd c ddddfffbbbbbbbbbbbbbbbfffddd ac dddfffbbbbbbbbbbbbb c ac ca c ```

This image might have some surprises. Let's look for intersections carefully. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#535bedff b,#fd0c0cff c,#b1b2feff d,#ea635eff e,#b1d7b1ff f,#99c19aff g,#0809fcff ``` ```image d db db db db db db db db bb bb bb bb bb db bb db bb eb bb b g bb bd gga bb bd cg gc bd bb g g bd bb effffffffffffffagfffagfffffffffffffffe bd db feeeeeeeeeeeeeegeeeeegaeeeeeeeeeeeeeef bd db feeeeeeeeeeeeegaeeeeeegeeeeeeeeeeeeeef bd eb feeeeeeeeeeeeegeeeeeeefgeeeeeeeeeeeeefbd be feeeeeeeeeeeegfeeeeeeeegaeeeeeeeeeeeebd bd feeeeeeeeeeefgeeeeeeeeeegfeeeeeeeeeebd bdfeeeeeeeeeeegeeeeeeeeeeeegeeeeeeeeebdf bbeeeeeeeeeeageeeeeeeeeeeeageeeeeeebdef bbeeeeeeeeegeeeeeeeeeeeeeegaeeeeebdeef fdbeeeeeeegaeeeeeeeeeeeeeeegeeeebdeeef fedbeeeeeegeeeeeeeeeeeeeeeefgeebdeeeef feefbfeeegaeeeeeeeeeeeeeeeeeggbdeeeeef feeeebdefgeeeeeeeeeeeeeeeeeeegfeeeeeef feeeeebdgfeeeeeeeeeeeeeeeeeebdgeeeeeef feeeeeedgeeeeeeeeeeeeeeeeeebdeageeeeef feeeeeegbbeeeeeeeeeeeeeeeebfeeegaeeeef feeeeeaaebbeeeeeeeeeeeeeebfeeeeegeeeef feeeeegeeedbeeeeeeeeeeeebfeeeeeefgeeef feeeegaeeeedbeeeeeeeeeebfeeeeeeeeggeef feeefgeeeeeefbfeeeeeeebfeeeeeeeeeegfef feeegfeeeeeeeebdeeeeebfeeeeeeeeeeeegef feeageeeeeeeeeebdeeebfeeeeeeeeeeeeeagf feegeeeeeeeeeeeebbfbfeeeeeeeeeeeeeeega feageeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeg fegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg fgaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaa fgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gc gc g cg cg g ga ag g g cg aa ag g gc gc g cg cg g ga cg g g cg aa ag g gc gc g g cg gc ga cg g g cg aa ag g gc ga g g cg gc ga cg g g g ag ag g gc aa g g cg gc a cg g ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#4846fdff b,#fe0606ff c,#e4d4eeff d,#f63e46ff e,#fd9192ff f,#9191feff g,#0606feff ``` ```image cggf cggf aga fggc cggc aga aga cggf fggc fggc ggf aga fgg gga ggf cggf fga fggc cggc aga e aga cggf eb cggc fggc ebb agf agg ebbe fgg gga ebbe ggf cggf ebbe bc fgg fggc ebbe bbc cggf aga ebbe dbbe aga cggf ebbe dbbe cggc fggc ebbe dbbe aga agg ebbe ebbd fggc gga ebbe ebbd ggf cggf ebbe ebbdc fgg fggc ebbe cbbbc cggf agadbbe cdbbc aga cggdbe dbbe cggc dgge dbbe aga dbagg ebbefggc dbbegga ebbggf dbbe cggf edggc dbbe fggc ggddc dbbe aga fgabbbc dbbe cggf cggccdbbe dbbe fggc aga dbbe dbbc agg cggc dbbe dbbc gga agf ebbd dbbc cggf fgg ebbd dbbc fggc ggf ebbd dbbc aga fgg cbbbc dbbc cggf cggf cbbbc dbbc fggc aga cdbbe dbbc agg cggc dbbe dbbc gga aga dbbe dbbc cggf fggc ebbd cdbbc fggc ggf ebbd cdbbc aga fgg ebbdccbbbc cgg cggf cbbbbbbc fg aga cdbbbc a cggc ddc aga fggc ggf fgg ggf ```  Area A contains an intersection. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#3636feff b,#fe0909ff c,#bcbcffff d,#fb4e51ff e,#fcadafff f,#7777ffff g,#0303feff ``` ```image e db db db db db db db db db db e bb bb bb db bb db bb eb bb be g bd be gaa bd bd cg gc bd bd g g bd bb fa fg bd db g gf bd eb af g bd eb g cg bd be gc aa bd be cg gc bd bd g g bd bb fa fg bd db g gf be db af g be eb g cg be ebe gc aabe be cg ge bdg beg dg be fg gbb be gf aa db be g g db be cg gf eb be aa g be be gc gc be be g cg bd b fg g bd b gf fa bb g g cg af aa g gc gc g cg fg g gf fa g g cg af aa g gc gc g cg fg g gf fg g g cg aa aa g gc gf g g fg gc gf cg g g cg fa aa g gc af g g cg gc af cg g g cg fa fa g gc af g g cg gc a cg g ```

Time to put on my detective hat and find those intersection points! There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0505ff c,#ff5858ff d,#8282ffff e,#c4c4ffff f,#4444ffff g,#ffb8b8ff ``` ```image g cbbb cbc cbg cbc bb cbc cbg cbc bb cbc cbg cbc bb cbc gbg cbc bb cbc gbc cbc bb cbc gbc cbc bb cbc gbc cbc bb cbc gbc cbc bb cbc gbc c cb gbc cbg bc cbg bb cbg bb cbg bb cb fdde aaddfaaaaaaaaafdde fad eddfaaaaaaaaafdde daf eedffaaaaaaaafdde eaa eedffaaaa eaa aae fad dad daf eaa aae aae fad daf eaa aa aae fad daf af ```

I'm examining this image closely. My goal: find any and all intersections. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#3c3cffff b,#ff0808ff c,#c1c1ffff d,#ff6262ff e,#ffb2b2ff f,#7c7cffff g,#0404ffff ``` ```image ee eedddbbbbbbbbbbbbbbbbbbbbbbddee eedddbbbbbbbbbbbbbdddee eeddbbbbbbbbbdde bbdddee eedbbbbbbbbbddee eeddbbbbbbbbb e g aa cg g gf fg g gc aa cg g gf fg g gc aa cg g gf fg g gc aa cg g gf fg g gc aa cg g gf cg g gc fg g gc aa cg g gf fg g gc aa cg g c gf gggc fg caggf g caggf gc aggf aa fgga cg fggac g cgggc gf cgggf fg caggf g aggf gc fgga aa fgg ```

The hunt for intersections begins! Let's analyze this image closely. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#8282ffff b,#ff0808ff c,#0404ffff d,#ff6363ff e,#ffbabaff f,#c3c3ffff g,#4040ffff ``` ```image e bbbbbbbbbdde db eedbbbbbbbbdde eb eddbbbbbbbbdee b eddbbbbbbbbdee be eddbbbb bd db eb b be bd db eb b be bd db eb b be bd db eb b be bd db eb b be bd db eb b be bd db eb b fcgf be c accca bd cf fgccg db cf acccf eb ca fccca b cg gccgf be gg accca gc fgccg ac acccf fc fgcca fc accgf c fccca cf gccgf ca ac cg gg gc ac fc fc c cf ca ca cg gc ac fc fc c cf cf ca cg gc ac ac fc c cf cf ```

I'm optimistic that I'll find some intersections in this image. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#f15d59ff b,#0706fcff c,#fd0908ff d,#b0d6b1ff e,#feb5b5ff f,#99c597ff g,#6169efff ``` ```image e ece c ce ec ca c ca c ca ce ca c ca aa ca c cc aa cc c cc ec ac c ac ec ac ce ac c ac ce ac c ec aa ec c ec aa ec dfffffffffffcfff ec fddddddddddacddd ec fddddddddddcdddd ece fdddddddddfcdddd ecfdddddddddddddddddf fdddddddddcfdddd fcfddddddddddddddddf fdddddddddcddddd ddcfdddddddddddddddf fddddddddcaddddd gbbbbbg dddcfddddddddddddddf fddddddddcdddddfgbbg gbbbbg ddddcadddddddddddddf fdddddddcaddgbbbg dgbbbgd dddddcaddddddddddddf fdddddddcgbbbfdd gbbbbg ddddddcadddddddddddf fddddgbbbgdddddd gbbbbg dddddddcaddddddddddf fdgbbbfcdddddddd dgbbbgfdddddcadddddddddf dbbbgdddacdddddddd fgbbbbgddcaddddddddf gbbbdfdddddcddddddddd dddddfgbbbbadddddddf dbbbg fddddfcddddddddd ddddddddddgbbbbgfddf gbbbd fddddcfddddddddd ddddddddddddccdgbbbf bbg fddddcdddddddddd dddddddddddddccddddf fdddcadddddddddd ddddddddddddddccdddf fdddcddddddddddd dddddddddddddddccddf fddcaddddddddddd ddddddddddddddddccdf dffcffffffffffff dddddddddddddddddacf aa ddddddddddddddddddaf c dddddddddddddddddddf ec fffffffffffffffffffd c ec ce c ce c aa c aa c ec c ec ce c ce c aa c aa c ec c ec ce c ce c aa c aa c ec c ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#fe8181ff b,#0b09fcff c,#fe0404ff d,#b3b3ffff e,#fdbcbdff f,#fa3338ff g,#6a64f8ff ``` ```image acf cce acf fca ecc fca ecc fca ecce acf cce acf cce acf fca ecc dgbb fca dgbbbbb ecc dgbbbbbbgd fcggbbbbbbgd dgbbbbbbgd dgbbbbbbgd dgbbbbbbbfe dgbbbbbbgdacf ggbbbbbgd cce bbbbgd acf gd fca ecc fca ecc fca ecce acf cce acf cce acc fca ecc fca ecc ```  There's no doubt about it - this is an intersection in area A. Now, let's turn our attention to the next spot. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#fb888bff b,#0604fcff c,#fe0708ff d,#9d9dffff e,#f8d4daff f,#f73f47ff g,#4f49f8ff ``` ```image cce ccce efcce efcce fcce fcce fcce fcce fcce fcca fcca fcca acca acca acca acca d acca bbbgdd acca gbbbbbbggde accf ddgbbbbbbbgdd accf ddgbbbbbbbgdaccf edggbbbbbbbgfe ddgbbbbbbbgdd dgbbbbbbbbgde eccfgbbbbbbbggd eccf ddgbbbbb eccfe edgg eccfe eccce eccce eccce efcce efcce fcce fcce fcc fc f ```  As I suspected, there's an intersection within area B. Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#ff8484ff b,#0706fdff c,#fe0607ff d,#b1b1ffff e,#ffc6c6ff f,#fc4043ff g,#6161ffff ``` ```image e aca c ca ec ca ce ca c cf ce cf c cf fa cf c cf af cc c fc ac fc c fc ec fc ce fc c ac ce ac c ac fa ac c ec af ec c ec ac ec c ece ec ece ce ce c ce ce dbbbbbgd ce c gbbgd gbbbbd ce fa dbbbg dgbbbgd ca cgbbgd dbbbbg ca dbbbg gbbbbd ca gbbbdc dgbbbgd ca dbbbg ac dbbbbg cf gbbbd c dgbbbbf dbbbg ec dbbbbgd gbbbd ce cf gbbb bbg c cf ca cc c fc fa fc c fc af f c ac c ec ce c ca c fa c af c ac c ec ce c ca c fa c af c ac c ec ce c ca c fa c af c ec c ```

This image looks interesting. I wonder if there are any intersections hidden in there? There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#f55954ff b,#0303feff c,#faaba8ff d,#868df0ff e,#fd0708ff f,#3235f4ff g,#add4adff ``` ```image c ec e ec ce e ce e aa c e b e aa bdbd ec e bd bb ce ec bf dbd e e db bf ea ec b fb e ce b bf e e bd fb ae ce ff dbd e e db bb ec aa b db ce e b bf e aa bd fb aa e ff bd e ec db bb gggggggggggecggg e b dbdggggggggggaegggg ec b bbgggggggggeggggg ce bd fbgggggggeaggggg ggggeggggggggffg ggbfgggggegggggg ggggaeggggggdbgg gggfbgggeggggggg gggggeggggggbggg ggggdbdaeggggggg gggggaaggggbgggg ggggggbbgggggggg ggggggegggbdgggg ggggggefbdgggggg ggggggaagffggggg gggggceggbfggggg gggggggedbgggggg gggggeggggfbgggg gggggggebggggggg ggggaaggggggbfgg gggggggbeggggggg ggggeggggggggbbg ggggggbdeggggggg gggecgggggggggdbd gggggffggegggggg ggaeggggggggggggbf ggggdbgggegggggg ggeggggggggggggg db ggggbggggaeggggg ea bf gggbggggggeggggg e f ggbdggggggaagggg e gffggggggggegggg ae db aa e b e ec b ec ce bd e e ff e aa db ce e b e ec b ce ce bd e e ff aa ea db e e f aa e e ae ec e e ec e ce ce e e aa ce e e ec aa ce e e ac ea e ce ec e e ae e e ce ec e ce ce e e aa aa e e ec ec ce e e eea e ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#f8373dff b,#0605fdff c,#ffc3c3ff d,#a5a5ffff e,#fe0304ff f,#4848ffff g,#fb7b7eff ``` ```image aeg bbf cee fbf aeg fbb gee dbbd eec dbbd gea bbf eec fbf gea fbb ceec dbbd aeg dbbd cee bbf aeg fbf cee fbb aegdbbd geabbd abbf bbb fbbec dbbgea dbbdceec bbf aeg fbf cee fbb aeg dbbd cee dbbd aeg bbf gea fbf eec fbb gea dbbd eec dbbd gea bbf ceec fbf aeg ```  There is an intersection point visible in this close-up of area A. Okay, let's direct our attention to the next zone. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#ff3d3dff b,#0908fdff c,#ffc2c2ff d,#b1b1ffff e,#fe0405ff f,#5a57fbff g,#f77a82ff ``` ```image eeg gea ceec aea d gee bf eeg bbbd aea dbbbf ceec fbbf aeg dbbbd gee fbbf ceec dbbbd aea dbbbf ceec fbbbd eeg dbbbd gea fbbfeec dbbbg gbbbf eefbbbd aea dbbbf ceec fbbf aeg dbbbd gee fbbf ceec dbbbd aea dbbbf ceec fbbbd eeg dbbb gea fb ceec d aea gee eeg aea ```  Wow! I can see an intersection so clearly in area B! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#fe3738ff b,#0303feff c,#ffc9c9ff d,#9797ffff e,#fe0404ff f,#3b39fdff g,#ff8181ff ``` ```image c eg e ec ce e ge e ga g e db e ag bdbd ec e bd bb ge eg bf dbd e e db bf ag ec b fb ce ce b bf ec e bd fb ga ge ff dbd e e db bb eg ga b dbd ce e b bf e ag bd fb aa e ff bd e eg db bb ec e b dbd ge ec b bf e ce bd fb ag e ff bf ce ge db fb ec e b dbdga ga b bb e bd efbd ag ff ce bf edb e fb ab aa bd be e bb bdec ec dbd ff ce ge bb db e e fb b ga ag bf b e ce f bd ga ec ff e ga db ag e b e eg b ec ce bd e e ff ec aa db ce e b e ec b ga ge bd e e ff ga ag db e ce f ag ec e ga ec e e eg ec ce ce e e aa ga e e ec ga ge e e ag ag e ce ec ec e ga ec e ce eg e ce ga e e aa ga e e ec ag ge e e eeg ce ```

Let's examine this image for potential line intersections. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#0706fdff b,#fd0b0aff c,#9ea1faff d,#feb0b0ff e,#4b4ff7ff f,#ef6860ff g,#afd5aeff ``` ```image c caa eaa eae eae aac aac caac caa caa eaa eae eae ggggggggggggggggggggggg aac ggggggggggggggggggggggg aac ggggggggggggggggggggggg caac ggggggggggggggggggggggcaa ggggggggggggggggggggeaa ggggggggggggggggggeaagg ggggggggggggbbfgeaegggg ggggggggggfbggaaegggggg gggggggggbbggaebbgggggg gggggggfbfggagggbbggggg ggggggbbgggeaggggbbgggg ggggfbfggggaggggggfbggg gggbbgggggacgggggggfbgg ggbfgggggcagggggggggfbg bbgggggggaggggggggggggbd bbgggggggeegggggggggggggbd fbd a bf bb ac bf dbd ca bb bb a bb dbf ae fb bb a fb bf a db fb ea db bb a bd fbd ac bd bb ca bf dbd a bf bb ee bb dbf a bb bb ac fb d ca db a db ee bd a bd a bf ca bf a bb ac bb ca fb a fb ee db a db ac bd ca bd a b ee a ac ca a ac a a ee a ac ca a ee a ac ca a ae a a ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0605fdff b,#fe0606ff c,#9893faff d,#fb9296ff e,#4b45f8ff f,#fd4647ff g,#f1d6e3ff ``` ```image ca caaa caaaac gg geaaaec dbbd geaaaec gfbbbbd geaaaec dbbbdfbbdeaaaeg fbbfg caaaaeg gbbbd caaaaef dbbbg gaaacdbbf gfbbf eae gbbfg dbbbd caag gbbbg gfbbfg aac gbbbg dbbbd eae gfbbd gfbbfg gaag fbbd dbbbd eae fbbd fbbfg caa dbbd gbbbd gaac dbbf dbbbg eae dbbf gfbbf caag dbbf dbbbd aac gbb gfbbfg caa gb bbbd gaac g ```  Aha! I've found an intersection inside area A! There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#0807feff b,#ff0505ff c,#9696ffff d,#ff9999ff e,#5151ffff f,#ff4343ff g,#e6d4edff ``` ```image c caa eaa eae eae aac gaac gaag caag caa eaa eae eae aac gaac gaag caag caa g eaa gbbd eae fbg aae bb gacbf dbd ag bb bb ee fb dbd a fb bb ac db gbf ca db fbg a gbg bf ee bd fbg a bd bb ag bf dbd ca bf bb a fb dbd ae fb fb ga db gbf ag db fbg ea gbg bf a gbd dbg ac bd bb ga bf dbd a bf bb ee bb gbd a fb fb ac fb d ca db a db ae gbg ga bd ag bd ca bf a bf ac fb ga fb ag db ee db a gbg ac gbd ca bd a b ee ga ag ca a ac ga ag ea a ac ca a ee a ag ca a ae ga ag ```

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,#4242ffff b,#ff5151ff c,#7e7effff d,#ff9292ff e,#c4c4ffff f,#ff0303ff g,#0505ffff ``` ```image c agggac eagggac eaggggc eaggggc eaggggc ecggggce ecggggc ecgc ga gg ag cg ege gc ga ag cg ege ge ga gg ag cg ege gc ga gg ag cg ege gc ga ag cg ege ge ga ga ag cg ege gc ga gg a bfd bffb bffbd bffb dfffb bffb dfffd bffb bffbd bffd dfffb bffd dfffd bffd bfffd bffd dfffb bffd dfffd bffd bfffd bffd dbffb ffd dff ```

I'm optimistic that I'll find 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,#4543f7ff b,#fe0a0aff c,#0404feff d,#ffbbbbff e,#9296f7ff f,#aed5aeff g,#f8625eff ``` ```image acccca eaccce cc ecccae ac eaccca ec ecccce ce acccae ca eaccce ac ecccae ec ca ce ca cc ac ec ce ca ac ec ce ca cc ac ec ce fffffffffffffffff ca fffffffffffffffff acfffffffffffffffff ecffffffffffffffff fceffffffffffffff ffcafffffffffffff fffccffffffffffff ffffacfffffffffff fffffecffffffffff fffffffcefffbffff ffffffffcafbbffff fffffffffccbfffff fffffffffgacfffff ffffffffgbfecffff fffffffgbffffffff fffffffbfffffffff ffffffbffffffffff fffffbfffffffffff ffffbffffffffffff fffbfffffffffffff ffbgfffffffffffff fbgffffffffffffff bgfffffffffffffff bbffffffffffffffff bbfffffffffffffffff gb bd gb bg gb bb db bb db gb db dbd b bg bd bg bd bb bd gb bg dbd bg bd bg bg bb bb gb gb gb db gb bd db bg db bb db gb b db bd dbd bd bg bd bb bg gb bg gb bg dbd bb bg gb bb gb bbgb gb ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#473ef6ff b,#ff5050ff c,#0707feff d,#ff9c9cff e,#9392fdff f,#fd0709ff g,#e5d7f1ff ``` ```image e ca ccag gcccg gacce acca eccag ecccg gccce acce ecca eccag gcccg gacce gfd acca gffb eccag fff ecccgbffg gcccffg gacce bfacca bffdeccag dffd gccc dffd gae dffd dffb dffb gffb gffb gffb fff bffg bffg bffg bffd bffd dffd dffd dffd dffb ffb fb b ```  My analysis confirms the presence of an intersection in area A. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#5753fbff b,#ff3131ff c,#0606feff d,#ffbdbdff e,#aeaeffff f,#ff0404ff g,#ff7070ff ``` ```image eacccca eaccca cc acccae ac eaccca ec ecccce ce eacccae ca eaccca cc acccae ac ca ece ca cc ac ec ce ca cc ac ece ca cc ac ec ce ca cc ac ece ca cc ac ec ce f ca bb ccf gac gf ec df df df f fd fd fd fg fg fb bb bf fd gf fg gf fb df bf df gf df dfd f fg fd fb fd bf fd gf fg dfd fg fd fb fb bb ff bf gf gf df gf fd df fg df fb df bf f gf fd dfd fd fg fd fb fg bf fg gf fb dfd bb fg bf fb gf bfgf gf ```

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,#ff0707ff b,#0808ffff c,#ff9090ff d,#6666ffff e,#ff4848ff f,#ffd1d1ff g,#b7b7ffff ``` ```image f ac a ee a ca af fa ac a ee a ca af fa ac a ee a ca a fa af a ac a ee a ca fa af ca fa ea ac ae a ac ee caf a ea ca aa af ae fa fac ac caf a ea ee aa a ac ca faf a ca fa aa af ae a fac ac caf a ea ee aa a ae ca fac af ca fa ea ac ae a ac ee faf a ea ca aa d af ae bbd fa fac bbd d ac caf bbg dbd a ea gbbg dbd eaa gbbg dbb c gbb dbb dbb dbb dbb dbb dbd gbb dbd gbb bbd gbb bbd gbb bbg gbbg gbbg gbbg gbbg gbbg gbb bbg dbb bbg dbb bbg dbd bbg bbd bbd ```

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,#4f53f8ff b,#fe0504ff c,#0606feff d,#f64d4dff e,#fbadabff f,#adaefdff g,#acd4acff ``` ```image fcc cc ac acf c fca fc cc cf acf c fca aa cc c acf fc fca cf cc c acf aa fca c cc fc acf cf fca c cc aa acf c fcc fc cc cf acf c cc ca gggcggggggggggggg gggacgggggggggggg ggggcgggggggggggg gggggcggggggggggg e gggggcagggggggggg eedbbbbd ggggggcgggggggggg edbbbbbde ggggggaaggggggdbbbbbde gggggggcdbbbbbdeg gdbbbbbdcgggggggg edbbbbbdegggggcfggggggg bbbbde gggggggggcggggggg be gggggggggaagggggg bd ggggggggggcgggggg db ggggggggggacggggg eb gggggggggggcggggg b ggggggggggggcgggg be ggggggggggggcaggg dd c eb ac b c be fc bd cf db c eb aa b c be fc dd cf eb c b aa be c bd fc db cf eb c b aa be c dd fc eb cf b c be ca bd c db ac b c b fc be cf dd c eb aa b c be fc bd cf db c b aa b c be db eb b be ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#8c8afdff b,#fe0707ff c,#0504feff d,#fa595eff e,#fcaeb1ff f,#ceceffff g,#4640f9ff ``` ```image accf gcg fccf acg cca accf gcg fccf gcg cca acc gca fccf gcg eeddb fcca eeddbbbbbbb accdbbbbbbbbbbddee eedddbbbccgbbbbddee eeddbbbbbbbbbbdcce bbbbbbbbdddee gcg bbddee fccf acc cca accf gcg fccf acg cca acc gcg fccf gcg fcca acc ```  My investigation has led me to an intersection in area A! I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#7c7cffff b,#ff0606ff c,#0404feff d,#fc5457ff e,#ffb5b5ff f,#bebeffff g,#3e3effff ``` ```image f fcc cc ac gcf cf fcg fc cc ca gcf c fcg ag cc c gcf fc fcg cf cc c gcf gg fcg c cc fc aca cf fcg c cc ga aca c fcg ac cc cf aca fc cg ca c ag c fc e ca eddbbbbd c edbbbbbde gg edbbbbbdee cdbbbbbde edbbbbbdc edbbbbbde cf bbbbde c be gg bd c db ac eb cf b c be ga dd c eb ac b cf be fc bd ca db c eb ag b c be fc dd cf eb c b gg be c bd fc db cf eb c b ga be c db ac eb cf b c be ca bd c db ag eb c b fc be ca db c eb gg b c be fc bd cf db c eb gg b c be db eb b be ```

This is the image I'm working with. The goal is to count the intersections. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#fd0d0dff b,#484cf6ff c,#0606feff d,#f57d78ff e,#a6a7fdff f,#b3d6b1ff g,#96c797ff ``` ```image e cc bce ecb cc a ece aa cc dad bce aa ecb dad cc aa bce aa cc dad bc aa ecb dad cc aa bce aa ecb dad fggggggggggggggggf cc aa gffffffffffffffffg ece fad gffffffffffffffffg cc aaf gffffffffffffffffg bce aagffffffffffffffffgecb dadfffffffffffffffcc gaaffffffffffffbcb gfgaafffffffffccfg gfffaadfffffccgffg gfffffaaffecbffffg gffffffdaccffffffg gffffffbcadffffffg gfffffccffaffffffg gfffbcgffffafffffg gffccffffffdaffffg gbcgffffffffdafffg cbfffffffffffaaffg bcgfffffffffffffadfg ecb gffffffffffffffagg cc gfffffffffffffffag ecb gfffffffffffffffda cc fggggggggggggggggda ece aa cc ad ece af cc a bce a cc da bce aa cb ad bc ad ecb a cc a ecb da b da ad ad a a da da aa ad a a fa da aa ad af a a da aa ad ad a a da da ad ad a ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#f53842ff b,#5856fdff c,#0807feff d,#ff8484ff e,#b2b1feff f,#ffc6c6ff g,#fe0505ff ``` ```image d gaf gggd faggaf eb fggga bcc dgggd ecccb faggaf bccce dgggd ecccb agggf ecccbe fggga bccce dgggd ecccb faggaf bccce dggacccb ecccb bcccagd ecccb dggf bccce aggf ecccb aga bccce gga ecccb fggd bccce fggd ecccb dggf bccbe aggf eccce aga bccb gga cce fggd b fggd dggf dggf agg ag fg f ```  Gotcha! I've found the intersection hiding in area A! The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#fb3c3fff b,#5353ffff c,#0707feff d,#ff8585ff e,#b2b2ffff f,#ffc5c5ff g,#fe0505ff ``` ```image e cc bce ecb cc g ecb fga cc agf bce gg ecb dgd cc agf bce fga cc dgd cce gg ecb fga cc agf bce gg ecb dgd cc gg ecb fga cc agf bce gg ecb dgd cc gg bce fga cc agf bce gg ecb dgcc bcad cc gf bce g cc fg bce ag ecb ga bc gd ecb gf cc g ecb fg cc dg ece aa cc gd bce gf cc g bce fg cc dg bce aa cb gd bc gf ecb g cc fg ecb dg b ag ga gd gf g fg ag ga gd gf g fg dg aa gd gf g fg dg aa gd gf g fg dg ag ga gd g ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#0505fdff b,#fb0c0aff c,#818ee3ff d,#df786bff e,#b0d6b0ff f,#3c41edff g,#eef2f0ff ``` ```image c a ac ga ag ca a cf a ff a ac ga ag ca ag ca a ff a ac ga ag ga ag ca a ff a fc ga ac ga ag ca a cf a fc a ac ga ag ca ag cf a d ff gbb a bbg ac dbd ga dbd ag gbb bdggggggggggggggggggggggggggggggggggggggggggggggggcaggggg bbg gbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeee dbd geebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeee gbb geeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeee bbg geeeeedbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeee bbd aceeeeeedbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeee dbd gaaeeeeeeebbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeee gbb gecafeeeeeeebbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeebbg geeefaceeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeedbd geeeeeaaeeeeeeedbbeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeedbbe geeeeeecafeeeeeeedbbeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeebbeee geeeeeeeeaaeeeeeeeedbdeeeeeeeeeeeeeeeeeeeeeecaeeeebbdeeee geeeeeeeeeeaaeeeeeeeebbdeeeeeeeeeeeeeeeeeeeeaeeedbdeeeeee geeeeeeeeeeefaceeeeeeeebbeeeeeeeeeeeeeeeeeeffeebbeeeeeeee geeeeeeeeeeeeeaaeeeeeeeeebbeeeeeeeeeeeeeeeeaebbeeeeeeeeee geeeeeeeeeeeeeecafeeeeeeeedbbeeeeeeeeeeeeeafbdeeeeeeeeeee geeeeeeeeeeeeeeeefaceeeeeeeedbdeeeeeeeeeedabeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeaaeeeeeeeeebbdeeeeeeebaceeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeecafeeeeeeeeebbeeeebbdaeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeefaceeeeeeeeebbdbdeaeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeedbeecaeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeefaceeeeeeeeeeeaeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeffeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeecafeeeeeeeaeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeefaceeeeffeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeaeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecafaceeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeeeeeeeeee gggggggggggggggggggggggggggggggggggggggggggggggggggggggg ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0708ff c,#8282feff d,#fd5556ff e,#fdacadff f,#423efaff g,#c3c3feff ``` ```image bbd gaag dbbbe fac ebbbbe caa ebbbde aac ebbbd caa dbbbd aag dbbbe caf edbbbe gaag ebbbbe faf g ebbbde gaag aac dbbbd fac faafg dbbbd gaa caaac edbbbe aac faaag ebbbbe caa gaaafg ebbbde aac caaac dbbbd caf e gfaafg dbbbd gaag db gaaaf edbbbe faf ebbb caaac edbbbe gaag ebbbde gfaafg ebbbbe fac dbbbe caaac ebbbde gaa dbbbd faaag dbbbd aac ebbbd gfaafg dbbbd caa edbbbe caaac edbbbe aac dbbbe gfaaag ebbbbe caf ebbbd gaaaf ebbbde gaag ebbbde caaac dbbbd faf dbbbe gfaafg dbbbd gaag dbbbd caaac edbbbe faf ebbbd faaac ebbbbe gaaedbbbe gfaafg ebbbde fafbbbe caaac ebbbde caabbd gfaaag dbbbd eaadde gaaafg dbbbd edfaae caaac edbbbe dbbaag gfaafg ebbbbe ebbbfaf caaaf ebbbde ebbbbeaag caaac dbbbd dbbbe faf gfaafg dbbbddbbbd gaag caaac edbbbbde fac faaag edbe caa gaaafg aac caaac caa gfaafg aag gaaaf caf caaac gaag gfaafg faf caaac gaag faaag fac gfaafg gaa caaac aac gfaaag caa gaaafgaac caaaaf gfaag ```  Wow! I can see an intersection so clearly in area A! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#0606feff b,#ff0a0aff c,#9393feff d,#ff6262ff e,#fcb3b6ff f,#4b49fcff g,#cfcfffff ``` ```image c a ac ga ag ca a cf a ff a ac ga ag ga a ca a ff a ac a ag ga ag ca a ff a ac a ac ga ag ca a ff a ff a ac ga ag ca a cf a d ff ebb a bb ac dbe ga ebd ag bb bd ga bbe bbe a dbd bbe ca ebb ebb a bb ebb ff dbe ac dbd a ebd aa dbe ac bb gaf bbe a bbe fag bb ag dbd aa ebb ga ebb caf dbd ag bb aag dbd ca bbe gaa bbe a dbd cac bb ff ebb aa ebb a bb gaf ebb afbe fac dbd ead aa dbe bac caf bbe bbea fag bbdbd ag gaa eb ca cac a aa ff gaf a fac ff aa a cafac fa ```

I have a feeling there might be some intersections in this image. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#ea7167ff b,#0707fcff c,#4f52e9ff d,#fb0a0aff e,#b0d7b0ff f,#9ba4ecff g,#f0f1edff ``` ```image f d b ad bf dg gb gd bg dg fb gd b da geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeedg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeedag da geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceadeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeedeeg aa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcedeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebedaeeeg ad geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfadeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbedeeeeeg gd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebedeeeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbddeeeeeeg gd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebadeeeeeeeg da geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccdeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdaeeeeeeeeg da geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcdeeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeg aa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbaeeeeeeeeeeeg ad geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeeeeeeeeeeeeeg gd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeeeeeeeeeeeeeeg gd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabeeeeeeeeeeeeeeeg da geeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeeeeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeg da geeeeeeeeeeeeeeeeeeeeeeeeeeeeabfeeeeeeeeeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeg aa geeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeg d geeeeeeeeeeeeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeeeeeg ad geeeeeeeeeeeeeeeeeeeeeeeeeadbeeeeeeeeeeeeeeeeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeeeeeeg gd geeeeeeeeeeeeeeeeeeeeeeeedebeeeeeeeeeeeeeeeeeeeeg dg geeeeeeeeeeeeeeeeeeeeeeeddbceeeeeeeeeeeeeeeeeeeeg c gd geeeeeeeeeeeeeeeeeeeeeeadebeeeeeeeeeeeeeeeeeeeeeg cb da geeeeeeeeeeeeeeeeeeeeeedebfeeeeeeeeeeeeeeeeeeeeeg cb d geeeeeeeeeeeeeeeeeeeeedaebeeeeeeeeeeeeeeeeeeeeeeg bc da geeeeeeeeeeeeeeeeeeeeadebeeeeeeeeeeeeeeeeeeeeeeeg bc d geeeeeeeeeeeeeeeeeeeedefbeeeeeeeeeeeeeeeeeeeeeeeg bf aa geeeeeeeeeeeeeeeeeeedeebeeeeeeeeeeeeeeeeeeeeeeeeg bf d geeeeeeeeeeeeeeeeeedaecbeeeeeeeeeeeeeeeeeeeeeeeeg bg ad geeeeeeeeeeeeeeeeeadeebeeeeeeeeeeeeeeeeeeeeeeeeeg gb dg geeeeeeeeeeeeeeeeedeecceeeeeeeeeeeeeeeeeeeeeeeeeg fb gd geeeeeeeeeeeeeeeedeeebeeeeeeeeeeeeeeeeeeeeeeeeeeg fb dg geeeeeeeeeeeeeeeddeebceeeeeeeeeeeeeeeeeeeeeeeeeeg cb gd geeeeeeeeeeeeeeadeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeg cb da geeeeeeeeeeeeeedeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeg bc d geeeeeeeeeeeeedaeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bc da geeeeeeeeeeeeadeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf d geeeeeeeeeeeedeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf aa geeeeeeeeeeedeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bg d geeeeeeeeeedaeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gb adgeeeeeeeeeadeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fb dgeeeeeeeeedeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fb gdeeeeeeeedeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cb deeeeeeeddeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cb gdeeeeeadeeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bc gdaeeeedeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bc gedeeedaeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf gedaeadeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf geededeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bg geeadeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gb gggegggggbcgggggggggggggggggggggggggggggggggggg fb gb fb bf cb gb cb bg bc fb bc b bf cc bf b bg cc gbg b gbbf fb ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#f43e48ff b,#0706fdff c,#5248f4ff d,#fe0607ff e,#fb8588ff f,#adacfeff g,#fec7c7ff ``` ```image bc a bf ed cc gdd fbf dda cb add fbb eddg bbc gdde fbb ada cbb ddg bbf de cbc aa fbbf edg cbc gdd fbb dda cbc add fbb eddg bbfgdde fbb ada bbfedd cbcgddg fbbfdde cbcada fbbeddg cbcdde bbcdd fbbddg bbade bbda bad ccdg fbde cba fbbg bba fbba bba cbbg gbbe cbc ebbf abb abbc eabb gdbbf dcbb adbbf edcbc gddbbf adcbc edabb ddbbc dcbb aabbf edcbb gddbbf ddabc eddgcc gddefb ada cb edd fbb gddg bbf dde fbb ada bbf eddg cbc gdde bbf dda cbc add fbbf eddg cbc gdde fbb ada bbf dd fbb gdg bbf ad bbf edd cbc gdde fbbf dda cbc add fbb eddg bbc gdde fbb ada bbf edd bb gddg bf dde cc ada fbf eddg cb gdde fbb dda cbc add fbb gdde fbb ada bbf dd cbc gdg fbbf de cbc ad fbb edd cbc gdde fbb dda bbf e add fbb dg eddg bbf da gdde cbc ddg ada bbf ada edd cbc gddg gddg fbbf eda dde cbc edd eddg bbf dde gdde fbb edd dda bbf ade add bb gdd eddg bf adgdde cc gddda fbf add cb ```  My analysis confirms the presence of an intersection in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#ff4444ff b,#0706fdff c,#5650f8ff d,#fd0607ff e,#ff8888ff f,#aaa9feff g,#fec8c8ff ``` ```image f d b ed bf d b gd b dg fb gd b de cb d d b de ae cc ad d b gd aa bf d d b de ed bfed d fb d gd b dg dg fbaa gd bgd de ccd d bde ae bcd d bd aa bd d fbe ed bd d fb gd bg dg cb gd gb de bc d db ae abf d gdb aa db d dcb ed edb d dcc gd dgb dg aacc c gd gd b cb de d bf cb d de b bc ae ad bf bc d gd fb bf aa d b bf d de cb b ed ed b b d d cc fb gd dg b fb dg aa bf cb gd gd b cb de d bf bc d de fb bc ae ad b bf d gd fb bf aa d b b d de cc b ed ed b fb d d bf fb gd dg b cb dg aa bf cb gd gd fb bc de d b bc d de fb bf ae ad b bf dgd cc b ad b b g bc fb b fb bf cb fb cb b bc fb bc b bf cc bf b b cc b b fbbf fb ```

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,#0606feff b,#fd0b0bff c,#9ea0fbff d,#ec7a71ff e,#4b4ff7ff f,#b2d7b1ff g,#97c896ff ``` ```image gfffffffffffffff gfffffffffffffff gfffffffffffffff gffdffffffffffff gffbbgffffffffff gffffbbfffffffff gfffffdbdfffffff gfffffffbbffffff gffffffffdbdffff gffffffffffbbfff gffeffffffffdbdf gffeefffffffffbb gfffaffffffffffdbd gfffeeffffffffff bb gffffaffffffffff bd gffffeefffffffff bb fgggggaggggggggg bb ee dbf a bb ee dbd a bb ee dbd a bb ee dbd a bb ee fbd a bb ee b a b ee b a b ee fb a db ee db a db ee db a db ec bb a bb ec bb a bd ec bd a bd ac bd a bd ac bf a b ac b a b ac b a fb ac db a db ac db a db ac db a bb ac bb a bb ac bbfffffffffffffffg a gbdffffffffffffffg ac gfbdfffffffffffffg a gffbdffffffffffffg ac gfffbdfffffffffffg a gffffbdffffffffffg ac gfffffbgfffffffffg a gffffffbfffffcfffg ac gfffffffbfgaaafffg a gfffffffeaacfffffg ac gffffeaaegbffffffg a gfeaaeffffdbfffffg ac caaeffffffffdbffffg a caaagfffffffffffdbfffg ac eaac gffffffffffffdfffg a eaac gffffffffffffffffg ac eaae gffffffffffffffffg a caae gffffffffffffffffg ac caae gffffffffffffffffg a aaac fggggggggggggggggf ac eaac a eaac accaae ae ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0000ffff b,#ff0606ff c,#d2d2ffff d,#ff8f8fff e,#5151ffff f,#ff4848ff g,#ffceceff ``` ```image dg gbbd gfbbfg dbbbd fbbbg gbbbf fbbbg gbbbf dbbbd gfbbfg dbbbd gfbbfg dbbbd gfbbfg cee dbbbd caac gfbbf eae dbb caac f eae caac eae caac eae caac eae caac ```  No intersection in area A, but I'll keep looking. Moving on to the next area. Here's a close-up of the area B.  ```palette Key,Color ,#fefefeff a,#0908fdff b,#fe0505ff c,#b5b5ffff d,#ff7f7fff e,#605ffeff f,#f03d4cff g,#ffb7b7ff ``` ```image bf bbf gbbf gbbf gbbd gbbd gbbd dbbd dbbd dbbg dbbg fbbg fbbg fbbg fbbg fbb cc fbb ceaae bbf ceaaaaae bbfaaaaaec ceaaaaec ceaaaaaff ceaaaaae gbbf ceaaaaaec gbbf eaaaaaec gbbd ceaaaaec gbbd aaaaec gbbd aac dbbd c dbbd dbb d ```  Case closed! This is definitely an intersection point in area B. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#0707feff b,#ff0606ff c,#a1a1ffff d,#ff8e8eff e,#5252feff f,#ff4747ff g,#ffceceff ``` ```image d fbg bb fbg bb dbd bb e dbd ee bb a gbf ee fb a gbf ee fbg a gbf ee fbg a bb ee dbd a bb ee dbd a bb ee dbd a bb ee gbf a fbg ee gbg a bg ee gb a gb ee gb a db ee db a db ee fb a fb ee fb a bb ec bf a bf ac bf a bd ac bd a bd ac bg a bg ac bg a gb ac gb a gb ac gb a db ac db a fb ac fb a fb ac fb a bf ac bf a bf ac bd a bd ac bd a bg ac bg a bg c ac gb aaa a eaac ac eaacgb a caae gb ac caae db a caaa db ac eaac d a eaac ac eaae a caae ac caae a aaac ac eaac a eaac accaae ae ```

I have a feeling there might be some intersections in this image. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#0505fdff b,#e46961ff c,#fc0b0aff d,#97c49dff e,#5e65e9ff f,#b1d7b1ff g,#bbbbffff ``` ```image g ae a ee a ga ag ga ag a ae a ea a ga ag ga ag a ee a g ea ga a ga ga ga ag ga a ga ae ga a ga ee ga a ga ddeadddddddddddddddddddddddddddddddddddddddf ga fffafffffffffffffffffffffffffffffffffffffffd ga fffdaffffffffffffffffffffffffffffffffffffffd ga ffffadfffffffffffffffffffffffffffffffffffffd ga fffffafffffffffffffffffffffffffffffffffffffd ga fffffaeffffffffffffffffffffffffffffffffffffd ga ffffffaffffffffffffffffffffffffffffffffffffd ga ffffffeafffffffffffffffffffffffffffffffffffd ga fffffffaffffffffffdbbcbffffffffffffffffffffd ga ffffffdeaccccccccccbbbccfffffffffffffffffffd ga fbbccccccccccbabdffffffffffffccffffffffffffffffffd ga cccccccccbbf ffffffffdaffffffffffffffccfffffffffffffffffdga fffffffffaeffffffffffffffbcffffffffffffffffda ffffffffffafffffffffffffffbcffffffffffffffda ffffffffffaefffffffffffffffbcffffffffffffdad fffffffffffaffffffffffffffffbcffffffffffdafd fffffffffffeaffffffffffffffffdcffffffffdaffd ffffffffffffafffffffffffffffffdcdfffffdafffd ffffffffffffeaffffffffffffffffffcdfffdaffffd fffffffffffffadffffffffffffffffffcbfdadffffd fffffffffffffdafffffffffffffffffffcbadfffffd ffffffffffffffaeffffffffffffffffffdabffffffd fffffffffffffffafffffffffffffffffdadcbfffffd fffffffffffffffaeffffffffffffffffadffccffffd ffffffffffffffffafffffffffffffffadffffccfffd ffffffffffffffffeafffffffffffffadffffffccffd fffffffffffffffffaffffffffffffadffffffffccfd fffffffffffffffffeaffffffffffadffffffffffbcd ffffffffffffffffffadffffffffadffffffffffffbc ffffffffffffffffffdafffffffadffffffffffffffbc fffffffffffffffffffaefffffadfffffffffffffffdfc ddddddddddddddddddddaddddadddddddddddddddddf fc ee ag c a ag c eag cf cb cb cb cb cc cc cc bc bc bc bc fc c c c ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#0302feff b,#fc5658ff c,#fe0809ff d,#dadafeff e,#8280fdff f,#fdb3b4ff g,#2927fdff ``` ```image daae eag gae eaad gae daad gag daad eag aae eag gae eaad gae daad eag daad eag ffffbbbbcb aae ffffbbbbccccccccccccccc fffeaabbccccccccccccccccccbbbbfffccc ffffbbbbccccccccaagcccccccbbbbffff cccf cccccccccccccccbbbaafff cccf cccbbbbffff gae bccf daad bccf eag bccf daae bccf eag bccf d gae bccb dg eaad fccb dga gae fccb dgag daad fccb dgagd gag fccb dgagd daad fccb dgagd eag fccc dgagd daae fccc dgagd eag cccf dgagd gae cccf dgagd eaad bccf dgagd gae bccf dgagd daad bccf dgagd gag bccf dgagd daad bccfgagd eag bcaagd aae dgaab eag dgagccb gae dgagdfccb eaad dgagd fccb gae dgagd fccb daad dgagd fccb eag dgagd fccc daad dgagd fccc eag dgagd cccf aae dgagd cccf eaa dgagd bccf gae dgagd bccf daad dgagd bccf gae gagd bcc daad gagd bc eag gaad b daae gaad eag gaad gae gaad ```  The evidence is clear: this is an intersection in area A. I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#0303feff b,#fd5152ff c,#ff0707ff d,#e1daf8ff e,#5754fcff f,#fca6a9ff g,#aaaaffff ``` ```image g ae a ee a ga ad da ag a ee a ee a ga ad da ag a ee a g ea ga a ga ga ga ad ga da ga ag ga a ga ee ga a ga ga ga ad ga ga ga ag ga da ga ae da a da ee da a ffbbb da feabcccccccccbbfcc da dffbbcccccccccbafd cc da ccccccccbbffd da bc da d ag bc da a bc dad ee fc dad a fc dad ee fc dad a dcd dad ga cf dad ad cf dad da cfad ag dab a dadcb ee dad cb a dad cc ea dad cc a dad bc ga dad bc ad dad bc da ad fc ag ad fc a ad fc ee ad dcd a ad cf gad cf cf cb cb cb cb cc bc bc bc fc fc fc dcd dcd c ```

This image might have some surprises. Let's look for intersections carefully. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0505ffff c,#8484ffff d,#ff9b9bff e,#ff4747ff f,#ead2e6ff g,#3e3effff ``` ```image f daaf daa a faa fa aaf da ead ea eae ee dae ae faa ad aaf af aad a ead fa dae da daa ea faa ee aaf ae ead ad eae af dae a faa fa aaf da f ea ee ae ad af a fa da ea ee ae ad af a bf fa bg da gb ea cbf ee bg ae gb ad cbf af bg a gb fa cbf da bg ea bb ee cbf ae bg ad bb af cbf a bc bb cbf fbc bb cbf fbc bb cbf fbc bb cbg cbbc fbbg cbbc gbg cbbc gbbf cbbc gbbf fbbc gbbf fbbg cbbc fbbg cbbc gbg cbbc gb ```

This image might have some surprises. Let's look for intersections carefully. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#fa3331ff b,#0708feff c,#9c9dfbff d,#f98e8bff e,#fe0201ff f,#4b4df9ff g,#add5adff ``` ```image dee ee e ded de ea aa ae ed dea e ee e ded de ea aa ae ed gggggggggggggggg ded e gggggggggggggggg ee e gggggggggggggggg ded de gggggggggggggggg ea aa gggggggggggggggae ed gggggggggggggdea e ggggggggggggeegg e ggggggggggaedggg de gggggggggeaggggg aa gggggggaeggggggg ed gggggdeagggggggg e ggggeegggggggggg e gggedggggggggggg cff de gggggggggggggggg cfbbbbcbc aa gggggggggggggggg cbbbbfc b ed gggggggggggggggg cfbbbbfc b e ggggggggggggggggcfbbbbc cb e gggggggggggfbbbbfc bf de gggggcfbbbbfcggg bc aa gggbbbfggggggggg b ed gggggggggggggggg cb e fb e bc de b aa b ed cb e bf e bc de b aa cb ed fb e bc e b de b aa cb ed bf e bc e b de cb aa fb ed bc e b e b de cb aa bf e bc b cb fb bc b b cb bf bc b cb fb bc b b cb bf bc b cb fb bc b ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#ff4343ff b,#0606ffff c,#acacffff d,#ff8686ff e,#ff0606ff f,#5c5cffff g,#ffcacaff ``` ```image a dee gaeea deeed gaeeag aeeeg deeed gaeeag deeed geeeag aeeeg deeed gaeeag deeed geeeag geeg g ccf cffbbbbb ccffbbbbbbbbff ccffbbbbbbbbfcc cfbbbbbbbbffcc cbbbbbffc fcc ```  I don't observe any intersections inside area A. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff3232ff b,#0808ffff c,#9c9cffff d,#ff8f8fff e,#ff0202ff f,#4c4cffff g,#f3deeaff ``` ```image g deeg ee ge ded de gea aa aeg ed dea eg ee ge ded de gea aa aeg ed ded eg ee ge ded de gea aa aeg ed ded eg ee ge aed de gea aa aeg ed ded eg ee ge ed cff de cfbbbbcbc aa gcbbbbfc bg ed cfbbbbfc gb eg cfbbbbcg cb ge gcbbbbfc bf de gfbbbbfc bc aa bbbcg b ed cb eg fb ge bc de bg aa gb ed cb eg bf ge bc de b aa cb ed fb eg bc ge bg de gb aa cb ed bf eg bc ge b de cb aa fb ed bc eg bg ge gb de cb aa bf e bc b cb fb bc bg gb cb bf bc b cb fb bc bg gb cb bf bc b cb fb bc b ```

I'm approaching this image with caution. Intersections might be tricky to spot. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#0303ffff b,#ff0707ff c,#ffa7a7ff d,#9191ffff e,#4343ffff f,#d1d1ffff g,#ff5a5aff ``` ```image f ee af fa ee af a da ad a da ae a fa ee af fa ea ad a da ad a fa ee af fa ee af a da fa ad faaf a faaf da faaf ad faaf a faaf fa faaf ee faaf af faaf fa faaf ee faaf af faaf a faaf da faaf ad faaf a faaf da faaf ae faaf a faaf fa faaf ee faaf adaaf af cbb gbb bbg cbbc gbb bbg cbbc gbb bbg cbbc gbb bbg cbbc gbb bbg cbbc gbb bbg cggbbc ccgbbbbbbbggc ccgbbbbbbbbgcc cggbbbbbbbgcc bbbbggc ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#fc0a09ff b,#0606fdff c,#e86d64ff d,#8f98ebff e,#4344ebff f,#b2d7b1ff g,#98c697ff ``` ```image c a ac a a fa a ca a cc a ac a a fa a bd ca b a db cc bd a b ac db a bd af b fa ee a b ca b a ee cc b a db ac bd a b af db a bd a b ca db a bd gffffffffffffffffffffffffffffffffffffffca b gffffffffffffffffffffffffffffffffffffffag b ee gfffffffffffffffffffffffffffffffffffffacg db b gfffffffffffffffffffffffffffffffffffffafg eb b gffffffffffffffffffffffffffffffffffffacfg be ee gfffffffffffffffffffffffffffffffffffgaffg bd b gfffffffffffffffffffffffffffffffffffagffg eb db gffffffffffffffffffffffffffffffffffcafffg bb bdgffffffffffffffffffffffffffffffffffaffffg be bgfffffffffffffffffffffffffffffffffcaffffg dbd dbfffffffffffffffffffffffffffffffffafffffg eb bdfffffffffffffffffffffffffffffffacfffffg bb gbfffffffffffffffffffffffffffffffaffffffg bd f gebfffffffffffffffffffffffffffffacffffffg db aa gfbdffffffffffffffffffffffffffffafffffffg eb ca gffbfffffffffffffffffffffffffffagfffffffgbe fa gffeefffffffffffffffffffffffffcafffffffgbd ac gfffbfffffffffffffffffffffffffafffffffebg aa gfffgbfffffffffffffffffffffffcaffffffbbfg aa gffffbeffffffffffffffffffffffaffffffbeffg ca gfffffbfffffffffffffffffffffccffffdbdfffg af gfffffdbffffffffffffffffffffaffffebfffffg ac gffffffbeffffffffffffffffffacfffbbffffffg aa gfffffffbffffffffffffffffffafffbefffffffg ca gfffffffdbffffffffffffffffagfdbgffffffffg ca gffffffffbdffffffffffffffgafbbffffffffffg ac gfffffffffbffffffffffffffafbefffffffffffg ac gfffffffffebffffffffffffcabdffffffffffffg aa gffffffffffbdfffffffffffebffffffffffffffg cagfffffffffffbffffffffffbbfffffffffffffffg fagffffffffffeeffffffffbeffffffffffffffffg gacffffffffffbffffffdbccffffffffffffffffg gfaafffffffffgbffffebfafffffffffffffffffg gffaafffffffffbeffbbfacfffffffffffffffffg gfffcafffffffffbgbefgaffffffffffffffffffg gffffgacfffffffdbgffagffffffffffffffffffg gffffffacffffffffffcafffffffffffffffffffg gfffffffaafffffffffaffffffffffffffffffffg gffffffffcafffffffcaffffffffffffffffffffg gfffffffffcagfffffafffffffffffffffffffffg gfffffffffffacfffacfffffffffffffffffffffg gffffffffffffaaffaffffffffffffffffffffffg gfffffffffffffaaacffffffffffffffffffffffg gffffffffffffffcafffffffffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffg fgggggggggggggggggggggggggggggggggggggggf ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0605feff c,#fe9494ff d,#9898feff e,#4946fbff f,#fa474bff g,#ecd3e6ff ``` ```image ga fa gaa faf gaag faf caag aac caa aac faf gaag faf gaag faf caag aac caa g aac e caf bd gaac bbg faf ebe gaag gbbd faf dbb caag ebe aac gbbd caa dbb aac bbe caa dbbg gaac ebe faf bbd gaag dbbg faf ebe caag gb gbbd fac dbb dbbg caa ebbe ebe aac gebbd gbbd caa gbbbd dbb gaac dbbeg ebe faf ebbe gbbd gaag gebbd dbb faf dbbbg bbe gaag dbbeg dbbg faf ebbe ebe caag gbbbd bbd aac dbbbg dbbg caa ebbe ebe aac gebbd gbbd faf gbbbd dbbg gaag dbbeg ebe faf ebbe gbbd gaag gebbd dbb faf dbbbg ebe caagdbbeg gbbd aacebbe ebb cafbbbd bbd afbbbg dbbg cebbe ebe gbbbd f bbd gbbbd afg dbbg dbbbg aaag ebe ebbef gfaac gbbd gebbfag faac dbbg dbbbfac caaf ebe dbbecaa caafg gbbd ebbe aac gaaag dbb gbbbd caa gfaac ebe dbbbg gaac faaf gbbd ebbe faf caaf ebbgebbd gaag caaag bbbbbd faf gaaac dbbeg caag faac dd fac faaf caa caafg aac gaaag caa gfaac gaac faac faf caaf gaag caafg faf gaaag gaag gfaac faf faaf caag caaf aac caaag caa gaaacaac faaaf faag cc ```  Oh my, look at that! It's an intersection in area A! It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0605feff c,#ff9494ff d,#9a9affff e,#4943f8ff f,#fb474aff g,#eed5e6ff ``` ```image c a ac ga ag ca a cf a ff a ac ga ag ca g a be ca b a db ff bd a b ac db ga bd ag b ga ee ag bg ca gb a ee ff b a gb ac bd a b ac db ga bd ag b ca db a bd ff b a gb ee ff dbg bg a eb gb ac be ee ga gbd b ag eb db ca bb bd a be b cf dbg db a eb bd ff bb b a gbd g db ac dbg aa bg ga eb fa b ag be gag ee ca gbd ac bg a eb af gb ca bb fa ee a be ca b ff dbd gac db a eb af bd ac bb aa b ga gbd fa db ag dbg cag bd ga eb gac b agbe af eb cfbd aa bg eb fa b bb gag ee be ac bg dbfc af gb ebga fa ee bb ac ca bgbd ga gac dbg ag af ca aa a fa ff cag a gac ff af a aaac fa ```

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,#f24c46ff b,#0908fcff c,#595ff2ff d,#fe0605ff e,#b1b1feff f,#f9a4a1ff g,#add4adff ``` ```image e bc b cb b eb be b cc b eb ad be fdfd b d df bc df d b fd aa cb d d b d fd eb da df be fd d b d fd cc df df b aa d eb fd aa be d d b df fd ggbcggggggggadgg df gggbggggggggdggg d gggcbggggggdgggg fd ggggbgggggdagggg df gggggbgggadggggg d gggggbcggdgggggg aa ggggggbgdggggggg d ggggggcbaggggggg fd ggggggfbgggggggg df ggggggdcbggggggg d gggggdfgbggggggg fd ggggadgggbgggggg df ggggdggggbcggggg d gggdggggggbggggg aa ggdaggggggcbgggg d gadggggggggbgggg fd gdggggggggggbggg df df be d da b ggadgggggggggggg c fd cc gggdgggggggggggg bbc d b ggggdggggggggggg ebbe df eb ggggaagggggggggg cbb aa be gggggdggggggggggbbc fd b gggggfdggggggcbbe d bc ggggggdagggbbbgg df b gggggggdgbbcgggg ad cb ggggggcbbggggggg d b ggggbbcgdggggggg d eb gcbbcggggdgggggg da be cbbgggggggaaggggg fd b ebbcggggggggggdggggg d cc cbbe ggggggggggfdgggg df b bbc gggggggggggdaggg aa eb ebbe ggggggggggggdggg f be cbb ggggggggggggadgg b bbc df bcbbe d c aa d fd df d fd df d aa d fd df d fd df d aa d ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#fb4245ff b,#0404feff c,#3c33f5ff d,#fe0505ff e,#8a8afeff f,#e7d3ebff g,#ff9c9cff ``` ```image ebb ada cbe add ebbf gddg cbc fddg fbbf ada ebc gddf bbe gddg ebb fdda cbe ada fbbf gddf cbc fddg fbbe dda ebb add cbe gddf ebbfddg cbcda fbbaf gcbc fddbbe adaebb gddf cbe gddg fbbf dda cbc ada fbbe gddf ebb fddg cbe ada ebbf add cbc gddg fbbf fddg ebc ada bbe gddf ebb gddg cbe ```  An intersection is present within area A. Let's inspect the next region. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#f33e4aff b,#0706fdff c,#6161feff d,#fe0606ff e,#bfbfffff f,#fec2c2ff g,#ff8585ff ``` ```image fddf gdd ddg fddf ada ddg gdd ada fddf gdd e ddg ecb fddf cbbbb ada ecbbbbce ddg ecbbbbe gdd cbbbbce adaecbbbbc fabbbbce ecbbbbce ecbbbbadg cbbbbce fddf ecbbbbc ada ebbbbce ddg ecbbbbce gdd bbbbc ada bce fddf e gdd ddg fddf ada ddg gdd ada fddf ```  Wow! I can see an intersection so clearly in area B! The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#ff4545ff b,#0908feff c,#5d5dffff d,#ff0606ff e,#b1b1feff f,#ffc6c6ff g,#ff8585ff ``` ```image e bc b cb b eb be b cc b eb ad be fdgd b d df bc dg d b gd aa cb d d b df fd eb da dg be gd d b d gd cc df df b aa d eb fd aa be d d b dg fd bc ad dg b fd d cb df gd b dg df eb gd d be d aa b df d cba fd fb dg deb d dg be gd aa b df fd bc d d b aa dg cb d gd b fd d eb dg df be d da b gd c gd cc df bbc d b d ebbe df eb aa cbb aa be d bbc fd b fd ebbe d bc dg cbb dg b debbc ad cb cbbe fd b bbc df df eb ebbe d dg be cbb aa gd b ebbc d d cc cbbe fd df b bbc dg aa eb ebbe d f be cbb gd b bbc df bcbbe d c aa d fd dg d gd df d aa d fd dg d gd df d aa d ```

I have a feeling there might be some intersections in this image. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0909ff c,#8585ffff d,#ff6060ff e,#c6c6ffff f,#ffb5b5ff g,#3e3effff ``` ```image f bb dbf bb dbf bb dbf fbd bb fbd bb fbf bb dbf bb dbf fbd bb fbd bb fbd bb dbf bb dbf bb dbf fbd fbb fdbbbbbbd fdbbbbbbdf fddbbbbbdff fdbbbbbbdf dbbbbbbdf df g ga ag ag ac ac ae eae ea ca ga ga aa ag ag ac ae eae ea ca ca ga ga ag ag ac c ac gaae eae eaag eae caac ca gaae ca eaag ga caac ga gaae ag eaag ag caac ac gaae ac eaag ae caac eae gaaeea eaa ```

I'm analyzing this image to identify any points where lines intersect. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#ff4d4dff b,#0505ffff c,#8f8fffff d,#ff0404ff e,#ffa8a8ff f,#4141ffff g,#c5c5ffff ``` ```image g fc b cb bg b fc b cb bg b ff b cb bg b c ff cb b cb cb cb bg cb b cb ff gb b gb cb gb bg gb b gb ff gb b gb cb gb bg b b bg ff bg b bg cb bg bg bg b bg ff bg b bg cb bg bg bc b bc ff bc b bc cb bc bg bc b bc ff bf b bf cb bf bg bf b bf ff bf a b bf eda cb bf dd bg bf ade b fb eda ff fb dd b fb ade cb fb eda bfb dd b ade eda dd ade eda dd ade eda dd ade eda dd ade eda dd dde eda eeeeaaadd eeeaaaadddddddddddddddaaaeee ddddddddaaaaeeee ```

Here's an image. My task is to find intersections or areas where lines come close together. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#3f45e6ff b,#f90d0bff c,#0606fcff d,#dc6b5aff e,#99c597ff f,#b1d7b1ff g,#7c8cd9ff ``` ```image g c cg c c gc c ga c aa c cg c c gc g c aa gc c c gc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeb c effffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcffffffffbe fc efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcgfffffffbdf cg efffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcfffffffbdff c effffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcgffffffbdfff cgefffffffffffffffffffffffffffffffffffffffffffffffffffffffffffgcffffffbbffff cefffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcffffffbbfffff aaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffgcfffffdbffffff cffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcfffffdbfffffff gcffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaffffdbffffffff ecefffffffffffffffffffffffffffffffffffffffffffffffffffffffcffffebfffffffff eecffffffffffffffffffffffffffffffffffffffffffffffffffffffcafffebffffffffff efcgfffffffffffffffffffffffffffffffffffffffffffffffffffffcffffbfffffffffff effcffffffffffffffffffffffffffffffffffffffffffffffffffffcgfffbefffffffffff effaaffffffffffffffffffffffffffffffffffffffffffffffffffecfffbeffffffffffff efffcffffffffffffffffffffffffffffffffffffffffffffffffffceffbdfffffffffffff efffacffffffffffffffffffffffffffffffffffffffffffffffffgcffbdffffffffffffff effffcffffffffffffffffffffffffffffffffffffffffffffffffcffbdfffffffffffffff effffgcffffffffffffffffffffffffffffffffffffffffffffffaafbbffffffffffffffff efffffcgfffffffffffffffffffffffffffffffffffffffffffffcfbbfffffffffffffffff effffffcffffffffffffffffffffffffffffffffffffffffffffaadbffffffffffffffffff effffffcgfffffffffffffffffffffffffffffffffffffffffffcdbfffffffffffffffffff efffffffcffffffffffffffffffffffffffffffffffffffffffcgbffffffffffffffffffff efffffffaaffffffffffffffffffffffffffffffffffffffffecbfffffffffffffffffffff effffffffcffffffffffffffffffffffffffffffffffffffffcbffffffffffffffffffffff d effffffffgcffffffffffffffffffffffffffffffffffffffgcfffffffffffffffffffffff dbd efffffffffcffffffffffffffffffffffffffffffffffffffcefffffffffffffffffffffff bb efffffffffgcffffffffffffffffffffffffffffffffffffacffffffffffffffffffffffff bbeffffffffffcgffffffffffffffffffffffffffffffffffbcfffffffffffffffffffffffff dbdffffffffffcfffffffffffffffffffffffffffffffffbaafffffffffffffffffffffffff ebbfffffffffcafffffffffffffffffffffffffffffffbbcffffffffffffffffffffffffff efebbffffffffcffffffffffffffffffffffffffffffbbcgffffffffffffffffffffffffff efffdbdffffffaaffffffffffffffffffffffffffffbbfcfffffffffffffffffffffffffff efffffbbffffffcfffffffffffffffffffffffffffdbfcgfffffffffffffffffffffffffff effffffebbffffgcfffffffffffffffffffffffffdbfgcffffffffffffffffffffffffffff effffffffdbdfffcefffffffffffffffffffffffdbffcfffffffffffffffffffffffffffff effffffffffbbffecffffffffffffffffffffffebffgcfffffffffffffffffffffffffffff efffffffffffebbfcgfffffffffffffffffffffbfffcffffffffffffffffffffffffffffff efffffffffffffdbdcffffffffffffffffffffbeffaaffffffffffffffffffffffffffffff efffffffffffffffbcaffffffffffffffffffbefffcfffffffffffffffffffffffffffffff effffffffffffffffecbffffffffffffffffbdfffcgfffffffffffffffffffffffffffffff efffffffffffffffffacbdfffffffffffffbdffffcffffffffffffffffffffffffffffffff effffffffffffffffffcfbbfffffffffffbdffffcgffffffffffffffffffffffffffffffff effffffffffffffffffgcfdbbffffffffbbffffgcfffffffffffffffffffffffffffffffff efffffffffffffffffffcgffdbdfffffbbfffffcffffffffffffffffffffffffffffffffff effffffffffffffffffffcffffbbfffdbfffffgcffffffffffffffffffffffffffffffffff effffffffffffffffffffcgffffdbddbffffffcfffffffffffffffffffffffffffffffffff efffffffffffffffffffffcffffffbbffffffaafffffffffffffffffffffffffffffffffff efffffffffffffffffffffaafffffffffffffcffffffffffffffffffffffffffffffffffff effffffffffffffffffffffcffffffffffffcaffffffffffffffffffffffffffffffffffff effffffffffffffffffffffgcfffffffffffcfffffffffffffffffffffffffffffffffffff efffffffffffffffffffffffcffffffffffcgfffffffffffffffffffffffffffffffffffff efffffffffffffffffffffffgcffffffffecffffffffffffffffffffffffffffffffffffff effffffffffffffffffffffffcgfffffffceffffffffffffffffffffffffffffffffffffff efffffffffffffffffffffffffcffffffgcfffffffffffffffffffffffffffffffffffffff efffffffffffffffffffffffffcafffffcffffffffffffffffffffffffffffffffffffffff effffffffffffffffffffffffffcffffaafffffffffffffffffffffffffffffffffffffffe aa c c ag gc c ccg c ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#4643fbff b,#fd0506ff c,#0605feff d,#fa4449ff e,#e5d5efff f,#fe9c9cff g,#908efcff ``` ```image ca d ece db gce dbf cc fbf gcc fbb ca fbd ece ebd aa ebb ac ebd gcc dbe e ccg dbe a cc dbb cc ga bbf cc ecg fbf gc ac fbf ece aca bbd ca gcce ebd cce acg ebd ecc cg dbd gc ga bbe cg ecg dbe gce ac dbe cce aca bbf aca cce fbf ecc cg fbf cg cg fbbd gc gc bbd cg ecc ebd aca cce db ecce ca dbb aca ece bbe ecc ag dbe cg ccfbb gc gccbbf cg eccgbf aca ccdb ecc cabd ac ecbd gc gcde cg cce cce acc aca ccg ac fbcg ecg fbaa de ga bbce dbdf cc ebdcc fbbd acg ebbacg dbbf gcc bbdcc edbdf ac bdecg dbbf aa dbeecg ebbde ecg dbb ac fbbbe cc dbbfecc ebbd gcc fbf cce fbbd acg fbf cg dbbf ecc fbb gc fbbd ece ebd gc ebbb aa ebd ecc fdbde ecg ebb aca fbbd cc dbb ecce fdbdcc dbe cce fbcc dbe cg dbcf dbb gce ecdb bbf gc ccbbf fbf ecc ccgbbde fbd gca ac edbbf bbd ca gce fbbd ebd ece aa fbbf ebd aa ece edbbf dbe gce ccg fbbf bbe gcc gcc ebbb dbf ccg ccg fbbdefbf ca ac dbbf aa ece ff ece aa ac ca acg ccg gcc gcc ccg cc cc aa aa ece ece ca ac gca acg cc cc gc cg gce ecg ca ac ```  An intersection is present within area A. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#443ffaff b,#fe090aff c,#0505feff d,#fe5b5bff e,#c5c5ffff f,#feb4b5ff g,#8785fdff ``` ```image g c cg ec ce ec c ga c aa c cg c ce ec g c aa gc c c gc aa b c c bf ec cg bf ce c bd c ce bd ag ec bd c c bb aa gc db c c db gc aa fb ce c fb ec ag fb cg c b c ce bf ag ec bf c ce bf ga gc bd c c bd ec ga bb ce c db c agdb cg cdb c cgb aa ecb c cb d gc gc dbd c cf bb ec aa fbb ce bc dbd c baa bb ag bdc fbb c bbcg dbf aa db c bb c db ce fbb gc fb ec dbf ce fb c bb ec fb gc fbd cg b c dbfc b aa bca bf c fcd bf cg gcbf bd c c bb bd ce ec fbd bd ec ce dbf bb c c bb db gc cg fbddb c c db aa aa c c ag gc c c ce ec ec ce ce c gc ag c c ga aa c c ag gc c ccg ec ```

I'm curious to see if this image contains any intersection points. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#090afcff b,#f0352dff c,#b1d7b1ff d,#dd8a7aff e,#fd0202ff f,#96c798ff g,#5f6ae7ff ``` ```image d cffffffffffffffffffffffffffffffffffffffffffffde fccccccccccccccccccccccccccccccccccccccccccccef fcccccccccccccccccccccccccccccccccccccccccccedg fccccccccccccccccccccccccccccccccccccccccccbbca fcccccccccccccccccccccccccccccccccccccccccdecaf fcccccccccccccccccccccccccccccccccccccccccecaac fccccccccccccccccccccccccccccccccccccccccedfacc fcccccccccccccccccccccccccccccccccccccccbbcaccc fccccccccccccccccccccccccccccccccccccccdecagccc fccccccccccccccccccccccccccccccccccccccecfacccc fcccccccccccccccccccccccccccccccccccccedcaccccc fccccccccccccccccccccccccccccccccccccbbcagccccc fcccccccccccccccccccccccccccccccccccdecgacccccc fccccccccccccccccccccccccccccccccccceccaccccccc fccccccccccccccccccccccccccccccccccedcagccccccc fcccccccccccccccccccccccccccccccccbbcgacccccccc fccccccccccccccccccccccccccccccccdeccaccccccccc fcccccccccccccccccccccccccccccccceccagccccccccc fcccccccccccccccccccccccccccccccedcgacccccccccc fccccccccccccccccccccccccccccccbbccaccccccccccc fcccccccccccccccccccccccccccccdeccagccccccccccc fccccccccccccccccccccccccccccceccgacccccccccccc fccccccccccccccccccccccccccccefccaccccccccccccc fcccccccccccccccccccccccccccebccagccccccccccccc fccccccccccccccccccccccccccdeccgacccccccccccccc fccccccccccccccccccccccccccecccaccccccccccccccc fcccccccccccccccccccccccccefccafccccccccccccccc fccccccccccccccccccccccccebccgacccccccccccccccc fcccccccccccccccccccccccdecccaccccccccccccccccc fcccccccccccccccccccccccecccafccccccccccccccccc fccccccccccccccccccccccecccgacccccccccccccccccc fcccccccccccccccccccccedccfaccccccccccccccccccc fccccccccccccccccccccbecccafccccccccccccccccccc fcccccccccccccccccccfecccaacccccccccccccccccccc fcccccccccccccccccccecccfaccccccccccccccccccccc fccccccccccccccccccedcccacccccccccccccccccccccc fcccccccccccccccccbecccagcccccccccccccccccccccc fccccccccccccccccfecccfaccccccccccccccccccccccc fcccccccccccccccceccccacccccccccccccccccccccccc fcccccccccccccccedcccagcccccccccccccccccccccccc fccccccccccccccbbcccgaccccccccccccccccccccccccc fcccccccccccccdeccccacccccccccccccccccccccccccc fccccccccccccceccccagcccccccccccccccccccccccccc fccccccccccccedcccgaccccccccccccccccccccccccccc fcccccccccccbbccccacccccccccccccccccccccccccccc fccccccccccdeccccagcccccccccccccccccccccccccccc fcccccccccceccccgaccccccccccccccccccccccccccccc fcccccccccedccccacccccccccccccccccccccccccccccc fccccccccbbccccagcccccccccccccccccccccccccccccc fcccccccdeccccgaccccccccccccccccccccccccccccccc fcccccccecccccacccccccccccccccccccccccccccccccc fccccccedccccagcccccccccccccccccccccccccccccccc bdd fcccccbbccccgaccccccccccccccccccccccccccccccccc cdbeeeeebdd fccccdecccccacccccccccccccccccccccccccccccccccc ddbeeeeebdc fccccecccccafcccccccccccccccccccccccccccccccccc ddbeeeeebdc fcccedccccgaccccccccccccccccccccccccccccccccccc ddbeeeeebddcbbcccccacccccccccccccccccccccccccccccccccccc dbeeefffffafffffffffffffffffffffffffffffffffffff ga a a ag a a ag ca a caaac caaac caaac gaaa gaaa gaag gaag gaag gaag gaag gaag aag ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0808ffff b,#ff3d3dff c,#b1b1ffff d,#ff8080ff e,#fe0505ff f,#ffc5c5ff g,#5a5affff ``` ```image d fe ee beb deef feed eeb c beb a deef ga feed caa eed aac beb gag deef caa feef caac eed gag beb gaa deef caac feef aag feed gaa deef aag feef gaa feed caac beb aag dee gaa feef caac feed aag beb gaa dee caac deef aag eed gaa eb caac be aag def gag fee caac beb aac bee gag deef caa feed aac beb gag bee aa deef cac feed gg eeb ga beb caa deef aag feed gaa eeb caac beb aag deef gaa feed caac eed aag beb gaa deef caac feef aag eed gaa beb caac feef gaa feed caac beb aag deef gag feef caac feed aac beb gag dee caa feef aac feed gag beb caa dee caac deef aag feed gaa beb caac bee aag deef gaa feed caac beb aag bee gaa deef caac feed aag eeb gaa bee caac deef aag feed gaa eeb caac beb aag deef gaa feed caac eeb aag beb gag deef caac eed aac ed gag bb caa def caac eed caa beb caac deef aag feef gaa feed caac beb aag deef gaa feef caac feed aag beb gaa dee caac feef aag feed aa beb cac dee ag deef ga feed caa ddff beb aag eeeeeeeee gaa ```  The lines within area A do not intersect. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#0707ffff b,#ff3636ff c,#b2b2ffff d,#ff7474ff e,#ff0202ff f,#ffb6b6ff g,#5858ffff ``` ```image d fe e efc bb a fe a e gg efca bb a fe ag e ca ef a bb ag fe ca e a ef ag bb ca fe a e ac ef ca bb a de ac e ga ef a ed ac de ga e a ef ac ed ga de a e ac e gg ed a de a fe gg e ca ed a de ag fe ca e a ed ag bb ca fe a e ag ef ca bb a fe ac e ca ef a bb ac fe ga e a ef ac bdf bb ga fdbeeeeebdf fe a fdbeeeeebdf e ac fdbeeeeebdf ef ga fdbeeeeebdf bb a fdeee ac gg a a gg ca a ag ca ca caaac caaac caaac caaac caagc gaag gaag gaag gaag gaag gaag aac ```

I'm ready to tackle this image and find those intersections! I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#3535ffff b,#ff0707ff c,#ff6c6cff d,#8686ffff e,#c8c8ffff f,#0404ffff g,#ffc9c9ff ``` ```image e dfffd dffa fa dffa af dffae df effae efe effae fd efffe fa eaffe af eaffe df eaffd efe affd fd affd fa fd af df efe fd fa ff af dfe efd fa ff af df efe fd fa af df efe fd fa af df efe f gc cbbbbc gcbbbcg cbbbbc gcbbbcg cbbbbc gcbbbcg cbbbbc gcbbbcg gcbbbbg cbbbbcg gcbbbbcg gcbbbbcg gcbbbbcg gcbbbbcg gcbbbbcg gcbbbbcg bbbc ```