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

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,#f45c57ff b,#0a0afcff c,#6e72f0ff d,#b1d6b2ff e,#fe0707ff f,#ffb3b3ff g,#98c597ff ``` ```image f ea e ae e fe ef e aa e fe ef e ea e ae e fe ef e aa e fe ef e aa e ae e fe ef e aa e fe ef e aa e fe ef e ea e ae e fe ef e aa e fe ef e bb ea cbc e bb ae ggggggggggggggggggggggggbbd e ddddddddddddddddddddddcbcd fe dddddddddddddddddddddbbddd ef dddddddddddddddddddbbgdddd e dddddddddddddddddcbcdddddd aaff ddddddddddddddddbbdddddddd aaeeeeeeeeeaaagddddddddddddbbcddddddddd ffaaeeeeeeeeeaacbbddddddddddd dddddddddgabbeeeeeeeeeaaag dddddddddcbcdddddddddgaaaeeeeee dddddddgbbdddddddddddddddd c ddddddbbdddddddddddddddddd cbbb ddddcbcddddddddddddddddddd cbbbd ddgbbddddddddddddddddddddd dbbbd dbbddddddddddddddddddddddd dbbbc cbcdddddddddddddddddddddddd bbbc bbgggggggggggggggggggggggggg bbbc bb cbbc cbc cbbc bb cbbc bb cbbc cbc cbbc bb cbbd ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#ff5353ff b,#0403feff c,#c3c3feff d,#3831f7ff e,#fd0406ff f,#fca6a9ff g,#7b79fcff ``` ```image gb cdbb gbbbg gbbbg cdbbdc gbbbg gbbbg cdbbdc gbbbg cbbbd cdbbdc gbbbg cdbbdc affff cdbbdc eeeeeeeeeaaaaffff gbbbg aaaaeeeeeeeeeeeeeeeeeaaaaffdbbdc ffffaaaaeeeeeeeeedbbbeeeeaaaaffff fffgbbbdeeeeeeeeeeeeeeeeeaaaaffff cdbbdc ffffaaaaeeeeeeeeeeeee gbbbc ffffaaaae gbbbg cdbbdc gbbbg gbbbg cdbbdc gbbbg cbbbg cdbbdc gbbbg cbbbdc cdbbdc gbbbg ```  Amazing! This area was hiding an intersection all along! It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#fe3838ff b,#0808feff c,#aca9fcff d,#fe7c7cff e,#ff0303ff f,#ffc1c1ff g,#5b5bfeff ``` ```image f ad e da e fe ed e aa e fe ef e ad e de ef fe ed e aa e fe ef e ad e de ef fe ed e da e fe ef e ad e de ef fe ed e da e fe ef e aa e de ef fe bb ad cbg e bb da bbc e cbg fe bb ef gbc e cbg aaff bb daeeeeeeeeaadff gbc fddaeeeeeeeeaadcbg fdbbaeeeeeeeeaddf gbc ffdaaeeeee cbg g bb cbbbc gbc cbbbc cbb cbbbc bb cbbbc gbg cbbbc bb gbbc bb gbbg cbg gbbg bb gbbg bbc gbbg cbg gbbg bb cbbc ```

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

0

```palette Key,Color ,#fefefeff a,#6d6dffff b,#ff0303ff c,#0808ffff d,#ff7979ff e,#ffc3c3ff f,#ff3535ff g,#bbbbffff ``` ```image d eb b be bd ff db eb b be bd fb eb b be bd ff db eb b be bd ff db eb b be bf db eb b be bd ff db eb b be bd fb bbd eb dbbe b efbf be dbbd bd fbbe ff ebbf db dbbd eb fbbe b ebbd be dbbe bd efbf ff dbbd db fbbe eb ebbb gaaccccccccag gaaccccccccaag gaccccaa gaaccccccccaag gaccccca accccccccaag gacccccag ag gacccccag gacccccag gacccccag gaccc ```

I'm approaching this image with caution. Intersections might be tricky to spot. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#0809fdff b,#fd0504ff c,#5a60f0ff d,#ea978dff e,#add5aeff f,#b4b5feff g,#f04942ff ``` ```image f ca acc af a ca fa a a af fa fa af a a af ac fa a a cc ac a fa fa a a cc fa a af d eeeeeeeeeeeeeaee a gbg eeeeeeeeeeeecaee ac gbg eeeeeeeeeeeeaeee a gbg eeeeeeeeeeeaeeee cc dbb eeeeeeeeeecaeeee a dbb eeeeeeeeeeaeeeee ca dbbeeeeeeeeaceeeee a dbbeeeeecaeeeeee fa eedbbdeeaeeeeeee af eeeeebbaceeeeeee a eeeeeecabdeeeeee af eeeeeeaeebbgeeee a eeeeeaceeeegbgee cc eeeeeaeeeeeeegbg a eeeeaeeeeeeeeeegbg ca eeeaceeeeeeeeeee dbg eeeeeaeeeeeeeeeeeeeeee eeeaeeeeeeeeeeee dbb eeeeecaeeeeeeeeeeeeeee eeaeeeeeeeeeeeee dbb eeeeeeaeeeeeeeeeeeeeee ecaeeeeeeeeeeeee dbbbd eeeeeeeaeeeeeeeeeeeeee eaeeeeeeeeeeeeee dgbbg eeeeeeeaceeeeeeeeeeeee af dbbbd eeeeeeeeaeeeeeeeeeeeee ca gbbgdeeeeeaceeeeeeeeeeee a edbbbgeeeaeeeeeeeeeeee af eeeeegbbbcaeeeeeeeeeee fa eeeeeeeedbabgeeeeeeeee a eeeeeeeeeecagbbbdeeeee ac eeeeeeeeeeeaeeedbbbgee fa eeeeeeeeeeeeaeeeeeegbbbd a eeeeeeeeeeeeaceeeeeeeedgbbg ac eeeeeeeeeeeeeaeeeeeeee dbbbd fa eeeeeeeeeeeeeaceeeeeee gb a eeeeeeeeeeeeeeaeeeeeee cc eeeeeeeeeeeeeecceeeeee a eeeeeeeeeeeeeeeaeeeeee af eeeeeeeeeeeeeeecaeeeee ca a a fa af af ca a c ac a cc a ca a fa af a af a cc a ca a fa af fa af a ac a cc a ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#0605feff b,#fd0506ff c,#8a89feff d,#feb2b2ff e,#4440faff f,#cbcbffff g,#fd5455ff ``` ```image caaf aac eae faaf aac eae faaf aac caa faaf eae bg caa bbbg faac dgbbbg eae dgbbbgd caaf dgbbbgd faac dgbbbgd eae dgbbbgd caaf gbbbgaac gbeaad caabbbd aacdbbbbd eae dbbbbg faaf dbbbbg aac dgbbbg caa dgbbbg faaf dgbb eae dg caa faac eae caaf faac eae caaf aac eae faaf aac ```  I observe an intersection inside area A. Right then, let's explore the next spot. Eureka! Let's inspect this close up of area B  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0606ff c,#8682fbff d,#fdaaabff e,#4240fdff f,#c9c9ffff g,#f64f58ff ``` ```image cae aac caa aac faa eac faaf eae faaf cae aac caa aac bgd caa bbbbgdd eac dgbbbbbbgd faaf dgbbbbbggd eae dggbbbbbgd faaf dgbbbbbbgeae ddgbbbbaac dgbgaabbgd daagbbbbgdd caadgbbbbbbgd eac dgbbbbbgdd faaf dgbbbbbbgd eae dgbbbbbg faaf dggbb eae d faaf cae aac caa eac faaf eae faaf eae faaf cae ```  I observe an intersection inside area B. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0404ff c,#7f7fffff d,#ff9d9dff e,#4241feff f,#c4c3feff g,#ff4a4aff ``` ```image f ea ace af a ca ca a af af fa ca af a a ac ec fa a a ee ac a fa ca a a ee fa fa af d af a gbg ee ac gbg a a gbg af ee dbb ca a dbb a ca dbb af a dbb ca fa bbd a af bbac a fabd ac a bbd a ac gbg ee fa gbg a a gbg ce ee gbg a fa dbb fa af dbb af ee dbbbd fa a dgbbg ac af dbbbd a ca gbbgd ec a dbbbd a af gbbgee ca dbabg a cagbbbd ac af dgbbg fa fa dbbbd a af dgbbg ec a dbbbd fa ec gb a a ee ee fa a af ca ee a a fa af af ca a e ac a ee a ca a fa af a ac a ee a ce a fa af fa af a ec a ce a ```

I'm optimistic that I'll find some intersections in this image. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#eb5a57ff b,#0707fcff c,#fc0807ff d,#666debff e,#ffb5b5ff f,#b1d7b2ff g,#98c696ff ``` ```image e eca c ca ec cc c ac c ac ce ec c ece fggggggggggcaggggggggggcaggggggggggggggggggggf gffffffffffcffffffffffffcafffffffffffffffffffg gfffffffffaafffffffffffffccffffffffffffffffffg gfffffffffcfffffffffffffffccfffffffffffffffffg gffffffffacffffffffffffffffacffffffffffffffffg gffffffffcffffffffffffffffffacfffffffffffffffg gfffffffgcfffffffffffffffffffgcffffffffffffffg gfffffffcgfffffffffffffffffffffcgffffffffffffg gffffffdadbbbbbbbbbbbbdddgffffffcafffffffffffg dddbbbbbbbbbddgfffffffffgdddbbbbbbbbbbbbdddgfffffg fdddbbbbbbbbddd gffffffcffffffffffffffffffffffffffcaddbbbbbbbbbbbdddf bbbbbbddf gfffffcafffffffffffffffffffffffffffccffffffffg fdddbbbbbbb gfffffcfffffffffffffffffffffffffffffacfffffffg gffffaaffffffffffffffffffffffffffffffacffffffg gffffcffffffffffffffffffffffffffffffffgcgffffg gfffacffffffffffffffffffffffffffffffffffcafffg gfffcffffffffffffffffffffffffffffffffffffcaffg gffgcfffffffffffffffffffffffffffffffffffffcafg gffcgffffffffffffffffffffffffffffffffffffffccg fggcggggggggggggggggggggggggggggggggggggggggcc ce ac c ec aa ece c ce aa ca c cc ec cc c ac ec ec ce ec c ce ce c 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 ec ce c ce c aa c aa c ec c ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fd7c7dff b,#0504fdff c,#fe0404ff d,#a0a0feff e,#fec3c4ff f,#f6363eff g,#5453fdff ``` ```image ecc fcce fca fcca ecc fcca fca acca ecce accf acf eccf cce eccfe acf efcce cce fcce acf fcca fca acca ecc accf fca accf ecc eccf fca eccce ecce efcce acf ddddggggddddd fcce ddffgggbbbbbbbbbbbbbbbbbbbbbbggggddddd fcca ddddgggbbbbbbbbbbbbbbbbggggdddggggbbbbbbbbbbbbbbbbbbbbggggddddacca bbbbbbbbbbbbbbbbbgdddd ddddgggggbbbbbbbbbbbbbbbbbbbgggggdddd bbbbgggdddd acf ddddggggbbbbbbbbbbbbbbbbbbbbggggdd fca efffddggggbbbbbbbbbbbb ecc eccce dddddgg fca fcce ecc fcca fca acca ecce acca acf accf cce eccf acf eccce cce efcce acf fcce fca fcca ecc acca fca accf ecc eccf fca eccfe ecce eccc acf fc ```  I've cracked the case! This area contains the intersection. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#ff8181ff b,#0504fdff c,#ff0606ff d,#a6a5feff e,#ffc4c4ff f,#f53c45ff g,#5452fdff ``` ```image e aca c cf ec cc ce fc c ac ce ec c ece fa ca c ca af cf c cc ac fc c ac ec ec ce ece dfgbbbbbbbbbbbggddd ca ddggbbbbbbbbbgdd ddggbbbbbbbbbbggdd ddggbbbbbbbbggdd c ffdggbbbbbbbbbbggdd bbbbbbgdd fa fc ddgggbbbbbb c fc af ac c ece ac ce c ca ec cf ce cc c fc ce ac c ec fa ece c ca af cf c cf ac fc c fc ec ac ce ece c ce ce c 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 ec ce c ca c fa c af c ec c ```

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

0

```palette Key,Color ,#fefefeff a,#ff3434ff b,#0707ffff c,#5e5effff d,#ffbbbbff e,#ff0202ff f,#b2b2ffff g,#ff7373ff ``` ```image f cbb fbbc cbbf bbc fbbf cbb fbbc cbb fbbc cbbf bbc fbbf cbb fbbc cbbf bbc cbbf fbbc cbbbf fbbbc fcbbcf cbbbf fbbbc fbbbcf cbbbf cbbbc fbbbc bbbf ddgaaeee ddggaeeeeeeeeagdd dggaeeeeeeeeaggd dggaeeeeeeeeaggd aeaggdd ge de e ed ed eg aa ge de e e ed eg aa ge de de e ed eg aa ae ge de e ed eg ea aa ge de e ed ed eg aa ge de e e ed ```

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,#f35752ff b,#0a0afeff c,#8383feff d,#fd0706ff e,#fea5a5ff f,#add4acff g,#4145f4ff ``` ```image c cb cb cb cb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb bb d bb d bb ed bb ed bb ad bg dd bg da bg de bg de bg d bg d bg ed bg ed bg ad bg da bg da bg de bg de ffffffffffffffff bg d ffffffffffffffff bg dffffffffffffffffbg edffffffffffffffbg adffffffffffffbg fadffffffffffbgf ffddffffffffbgff fffdaffffffbgfff ffffdaffffbgffff fffffdfffbgfffff ffffffdfbgffffff fffffffbgfffffff ffffffbgdfffffff fffffbgfadffffff ffffbgfffadfffff fffbgfffffddffff ffbgfffffffdafff fbgfffffffffdaff bgfffffffffffdff bgfffffffffffffdf bcfffffffffffffffd bc fffffffffffffffad bc ffffffffffffffffad bc ffffffffffffffff adae bc eaddddae bc eadddddae bc eadddddae bc eadddddae bc eaddddae bc eaddddae bc eadddd bc bc bc bc bc bc ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#f6464eff b,#0200fdff c,#6664fdff d,#fe0707ff e,#ff8b8bff f,#ffc8c8ff g,#a4a4ffff ``` ```image a da dde g edde gb eddf gbb addf gbbc addf gbbc add gbbc dda gbbc fdda gbbc fdda gbbc fdde gbbc edde gbbc eddf gbbc addf gbbc addf gbbc add gbbc ddabbc fabbc gbbba gbbcdde gbbc edde gbbc eddf gbbc addf gbbc addf gbbc add gbbc dda gbbc fdda gbbc fdda gbbc fdde gbbc edde gbbc eddf gbbc addf bbc addf bc add c dd fd f ```  Bingo! This close-up reveals an intersection in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#ff4646ff b,#0a0afeff c,#7a7afeff d,#ff0404ff e,#ff9191ff f,#ffd1d1ff g,#4342feff ``` ```image c cb cb cb cb cb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb gb bb df bb fd bb fd bb ed bb ad bg aa bg da bg de bg df bg df bg fd bg fd bg ed bg ad bg da bg da bg de bg df bg df bg fd bg fd bg ed bg ad bg da bg da bg de bg df bc dfbc fbc bgd bc ed bc ad bc da bc da bc de bc df bc d bc fd bc ed bc ed bc adae bc feaddddaef bc eaddddaef bc fadddddaf bc feaddddae bc feaddddae bc eaddddaef bc eadddd bc bc bc bc bc bc ```

I have an image in front of me. I need to determine if there are any intersection segments. I've noticed 1 areas of interest. These could be potential intersection zones.  ```palette Key,Color ,#fefefeff a,#0606fdff b,#e7685cff c,#8891ebff d,#afd6afff e,#fd0908ff f,#4442ebff g,#efccdcff ``` ```image c ff ag a ca ac a ga fa ac a ca ff ag a ca ac a ga c fa aa ac gac a fa ca af ff cag ag aa a gac ca fa dddafddddddddddddddddddddddddddddddd af ddddaddddddddddddddddddddddddddddddd cac ddddcadddddddddddddddddddddddddddddd aa dddddfaddddddddddddddddddddddddddddd gac ddddddacdddddddddddddddddddddddddddd fa dddddddadddddddddddddddddddddddddddd af dddddddcaddddddddddddddddddddddddddd cac ddddddddafdddddddddddddddddddddddddd aa dddddddddadddddddddddddddddddddddddd gaf bbggggg ddddddddddaddddddddddddddddddddddddd fa bbbeeeeeeeeeeeeeeeeeeeeeeefaebbbbbbbdddddddddddddddd aa dddddddddddafbbbbbbeebdddddddddddddcac ddddddddddddaddddddddebdddddddddddaa ddddddddddddcaddddddddebdddddddddafd dddddddddddddfaddddddddebddddddfaddd ddddddddddddddacddddddddebddddaadddd dddddddddddddddadddddddddeedcacddddd dddddddddddddddcadddddddddeaaddddddd ddddddddddddddddafddddddddafeddddddd dddddddddddddddddaddddddfaddeedddddd ddddddddddddddddddaddddaaddddeeddddd ddddddddddddddddddfadcacddddddbedddd dddddddddddddddddddaaadddddddddbeddd ddddddddddddddddddddfdddddddddddbedd dddddddddddddddddddddddddddddddddbed ddddddddddddddddddddddddddddddddddbe dddddddddddddddddddddddddddddddddddbe ddddddddddddddddddddddddddddddddddddge dddddddddddddddddddddddddddddddddddd geg geg eg eg eg eb eb eb eb eb ee ee ee ee be be be be be ge ge geg geg geg e ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0403feff b,#fe5758ff c,#b8b8feff d,#fea2a3ff e,#fe0405ff f,#352ef7ff g,#706efdff ``` ```image faf aag caac gaa faf caac gaac faf aag caac gaa faf aag caac gaf fag caac gaac faf aag bddddddddddd caac eeeeeeeeeeeeeeeeeeeeefaabbbbbbbbbbddddddd bbbbbbbbbeeeeeeeeeeeeefafeeeeeeeeeeeeeeeeed ddaagdddddbbbbbbbbbeeed caac beed gaf beed cf fag beed gaa caac deeb faag gaac deeb caaac faf deeb gaaf aag deeb cfaag caac deeb gaafc gaa deeb faag faf deeb caaac caag deeb gaaf caac deeaaag gaf gaaac fag faafee caac caaac eee gaac gaafc eeed faf cfaag beed aag gaaac beed caac faag beed gaa caaac beed faf gaafc beed caaaaag beed caaac beed gg beed deeb dee de d ```  Aha! I've found an intersection inside area A! The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#0807feff b,#ff5050ff c,#9c9cffff d,#ff9898ff e,#ff0505ff f,#534bf7ff g,#ead9eeff ``` ```image c ff ag a ca af ag ga fa ac a ca ff ag a ca ac ag ga c fa aa ac gac a fa ca af af cac ag aa ga gaf ca fag ac af ag cac ga aa fa gaf ac fag a aa ca cac af aa ag gaf ddddggg ga fag bbbbeeeeeeeeeeeeeeeeeeeeeefabbbbddddg aa gggafdddbbbbed cac a ed aa ga ed gaf ff eb fag ac eb aa a eb cac ca eaa af gafe ag fag ee ga aa be fa cac be aaa be f be de de de ge geg geg geg ed ed ed ed eb eb eb eb ee ee be be be be de de de de geg geg geg e ```

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,#eb5e59ff b,#0808fdff c,#fd0908ff d,#4d50f8ff e,#add4adff f,#999ff2ff g,#fec4c4ff ``` ```image g ca c gc aa cg gc aa cg c ac cg c ac cg c ac cg eeceeeeeeeeeeeee eeaceeeeeeeeeeee fd eeecaeeeeeeeeeee fbbdbf eeeeceeeeeeeeeee fbbd b eeeeaceeeeeeeeeefbbd b eeeeecaeeeeeefbbd db eeeeeeceeefbbbee bf eeeeeeaabbbeeeee b eeeefbbbaeeeeeee b efbbbfeeceeeeeee db fbbbfeeeeeaceeeeee bd fbbbfeeeeeeeeecaeeeee b fbbbf eeeeeeeeeeceeeee b bbbf eeeeeeeeeeaceeee fb f eeeeeeeeeeecaeee bd eeeeeeeeeeeeceee b eeeeeeeeeeeeacee b ca fb c bd gc bf ca b c fb gc bd aa bf cg b gc fb aa dd cg bf c b ac fb cg dd c bf ac b cg fb c db ac bf aca b ccg fb gcc db aca bf ccg b cc b gca db ccg bf cc b gca b acg db cc bd gca b acg eeeeeeebeeeeeeee cc eeeeeeedbeeeeeee gcc eeeeeeeebdeeeeee acaeeeeeeeebeeeeee cceeeeeeeebeeeee eecceeeeeedbeeee eeeacaeeeeebdeee eeeeecceeeeebfee eeeeeeecceeeebee eeeeeeeeacaeefbe eeeeeeeeeecceede eeeeeeeeeeeeccee eeeeeeeeeeeeeace eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#fc8e90ff b,#0605feff c,#fe0505ff d,#5049f7ff e,#fa3e42ff f,#9999ffff g,#f0d6e5ff ``` ```image acc ece gcca accg ece gcca accg ece gcca accg ece gf gcca fdbb accg fdbbbbd ece fdbbbbdfg gcca fdbbbbdfg acedbbbbdfg fdbbbbbfg fdbbbbbda fdbbbbbfgaccg fdbbbbbfg ece fdbbbbbdg gcca bbbbdg accg bdf ece gcca accg ece gcca accg ece cca accg ecc cca ```  Gotcha! I've found the intersection hiding in area A! Let's continue our search in the next region. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#ff9494ff b,#0707feff c,#ff0606ff d,#4b4bffff e,#ff4747ff f,#e9d2e7ff g,#9191ffff ``` ```image dbd fbbd fbbg gbbf dbd bbd ef fbbg cca gbbf eccef dbb acccef bbd eccca fbbg feccca gbbf acccef dbb accca bbd feccca fbbg acccef gbbf accca dbb feccca bbd acccef fbbg accca gbb feccca db aeccef d accce feccca fecce acc e ```  Based on this close-up, I can conclude that there's no intersection in area B. My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#fd8182ff b,#0b0afeff c,#ff0404ff d,#6767ffff e,#fc3b3eff f,#bdbdffff g,#ffcfcfff ``` ```image g ee cg gc ee cg gc ee cg gc ee cg c ee cg c ac cg c ac db ca dbbdbd c dbbd b ac dbbd fb ca fbbd db c fbbb bd aebbbf b fbbba fb fbbbf c db fbbbf ac bd fbbbf ca bf fbbbf c b bbbf gc db f ca bd c bf gc b ea db c bd gc bf ee b cg fb gc bd ee bf cg b gc fb ee bb cg bf gc b ee fb cg db c bf ee b cg fb c db ac bf aca b ccg fb gcc db aca bd ecg b gcc fb ace db ecg bd cc b ace fb ecg db cc bd gce bf eca b cc db gce bd aca bf ccg b gce db aca bd ccg bf gcc b aca fb ecg d gcc ac ```

Based on a first glance, I suspect there could be intersection regions here. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#0505fdff b,#fd0706ff c,#9598f4ff d,#f4a49eff e,#f4504bff f,#4045f5ff g,#acd4acff ``` ```image d bd b ee ca b a a db ca ca b a fa db a ff bd ac ac b a ac bd ac a b a a ee fc ca b a fa ee ff af b a ac db cf a b a a db ca ca bd a ca b ca ff bd a af b a ac ee ac a b a a ee ac ca b a fa db fc af b a ac gggbggggggffgggg a gggbdgggggaggggg a ggggbggggffggggg ca ggggbegggagggggg ca b gggggbggcagggggg faggggggggggggggdb gggggeegaggggggg gafggggggggggggbb ggggggbcaggggggg ggacggggggggggbe ggggggeagggggggg gggaggggggggdbdg gggggggagggggggg ggggaggggggebggg ggggggacbggggggg ggggcaggggbbgggg ggggggagbggggggg gggggfaggbeggggg gggggacggbgggggg ggggggaabggggggg gggggagggbdggggg ggggggbafggggggg ggggffggggbggggg gggggbegacgggggg ggggagggggbegggg gggdbdgggagggggg gggffggggggbgggg ggbbggggggaggggg gggagggggggeeggg gbbgggggggcagggg cf b dbdgggggggggfaggg a db ebggggggggggggafgg ca b bb gggggggggggggacg a db be ggggggggggggggag ca bd db a a b bb ca a bd be ca ac b dbd ff a ee eb a ac b bb a ee bd fc b eb a db bb ff b be a db dbd cf bd eb a b be ca bd dbd a b eb a ebb a d a ac a ac a fc a ff a cf a ca a ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#0404feff b,#fd0507ff c,#8481fbff d,#ffbabaff e,#ff5a5aff f,#4238f4ff g,#cac9feff ``` ```image dbb fac ebe gaag dbbd faf ebe gaag bbd caf ebb aag bbd caf dbb aag bbe caf dbb aac ebe caa dbbd fac ebe gaa dbbd fac ebegaa bbfac ebaag faf gaab cafbe aacbb caf ebe aag dbbd caf ebe aac dbbd caa ebe fac bbd gaa ebb fac bbd gaa dbb fac bbe gaag dbb faf ebe gaag dbbd ```  I observe an intersection inside area A. Next up, a closer look at another region. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fd0608ff c,#8382fdff d,#ffaaaaff e,#fe4c4cff f,#3c37f9ff g,#cac9fdff ``` ```image faag faf faf gaaf gaac d caac eb caag ebb faag dbbbd faf dbbe gaaf ebbe gaac dbbbd gaac dbbbd caag ebbe caag ebbd faa dbbbd fafbbe gaafe dbbaac dbbecaac ebbe caag dbbbd faag dbbbd faf ebbe aaf ebbd gaac dbbbd gaac dbbe caag ebbe caag dbbbd faag bbbd faf be gaaf d gaac gaac caa ```  The close-up clearly shows an intersection point in area B. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#ff0606ff c,#8a89fdff d,#ffa8a8ff e,#ff4e4eff f,#4241feff g,#cbcbfeff ``` ```image d bd b ee cag b aga db ga ga b ag fa db ga ff bd ag ac b a ag bd ac a b a ga ee fc ca b a fa ee ff af b a ac db cf ag b a a db ca ga bd a ca b ga ff bd ag ac b ga ag ee ag a b a ga ee ac ca b a fa db fc af b a ac db ff ag bd a a b cf ga bd a ca b b ca fa db ee a af bb bga ac be dag ag dbd ga ga eb acb ga bb a bd fa bd ac b ffb a bd bac fc b be ag a ee dbd a ff b eb ga a ee be ca cf b dbd fa a db eb af ca b bb ac a db be ag ga bd db a ag b bb ga ga bd be ca ag b dbd ff a ee eb a ac b bb a ee bd fc b eb a db bb ff b be a db dbd cf bd eb a b be ca bd dbd a b eb ga ebb ag d a ag a fc a fc a cf a cf a ga a ```

I'm on the case! Let's uncover any intersections hidden in this image. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#f19e97ff b,#0606feff c,#fe0606ff d,#4648faff e,#989af9ff f,#ff5151ff g,#add4adff ``` ```image e db bd be be gggggggbgggggggg ggggggggbggggggg gggcagggebgggggg ggggcggggdbggggg ggggcaggggdbgggg e gggggcgggggbdggg bb gggggcggggggbdgg bd ggggggcggggggbeg eb ggggggcgggggggbg bb ggggggacgggggggb be gggggggcgggggggeb db gggggggacgggggggeb bd ggggggggcggggggg db ebe ggggggggacgggggg bd db gggggggggcgggggg be bd gggggggggacggggg be eb ggggggggggcggggg b bb ggggggggggacgggg b be gggggggggggcgggg eb db gggggggggggacggg eb bb ggggggggggggcggg db ebe ggggggggggggacgg bd db gggggggggggggcgg be bd ac be ebe c b bb ac b bd c eb db ac eb bb c db ebe ac bd db f c be bd fc af be ebe fc c b bb fc ff b bd fc c eb db fc ff eb bb fc c dbe ac ff ac c ac ff ac c ac ff ac c ac ff c c c ff c c c ff c c c ff ca c ca ff ca c ca fa ca c ca ca ca c cf ca cf c cf ca cf c cf ca cf c cf ca cc c cc ca fc c fc ca fc c fc ca fc c fc ca fc c ac cfc c ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#ff6c6cff b,#0808feff c,#ff0202ff d,#4d4dffff e,#b2b2ffff f,#ff3e3eff g,#ffc9c9ff ``` ```image dbbe dbb bbd bbd gff ebbd gccg ebbe acf ebbe gccg dbbe acf dbbe gccg dbb acf bbd gccg bbd acf ebbd gccg ebbe acf ebbe gccg dbbe fca dbbe gccg dbb fca bbd gccg bb fca eb gccg e fca gccg fca gccg fca gccg fca gcc fca gcc fca gcc fca gcc fca gcc fca gcc fca gcc fca gcc fca ```  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,#ff7f7fff b,#0808ffff c,#ff0505ff d,#5b5bffff e,#b0b0ffff f,#ff4040ff g,#ffc6c6ff ``` ```image e db bd be be b b cg eb gc db cg db e gc bd bb cg bd bd gc be dbe cg b bb gc b ebd cg eb db gc db bb cg db ebe gc bd bb c bd bd gc be dbe c b bb gc b ebd c eb db gc db bb c db ebe gc bd bb c bd bd ac be ebe c b bb ac b bd c eb db ac db bb c db ebe af bd db f c bd bd fc af be ebe fc c b bb fc af b bd fc c eb db ac af eb bb ac c dbe ac af ac c ac af gc c gc ff gc c gc ff gc c gc ff gc c cg fa cg c cg fa cg c cg fa cg c cg fa ca c ca fa ca c ca fa ca c cf ca cf c cf ca cf c cf ca cf c fc cg fc c fc cg fc c fc cg fc c ac cg ac c ac cac gc ```

I have a feeling there might be some intersections in this image. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0202ff c,#9294fbff d,#f99f9cff e,#494ef5ff f,#f84441ff g,#aed5adff ``` ```image gggggggggggggggg gggggggggggggggg gggggggggggggggg gggggggggggggggg d gggggggggggggggg dfbbbf gggfdggggggggggg dfbbbfd gggdfbbbbfgggggg dfbbbfd ggggggggdfbbbbfg dfbbbfd ggggggggggggggfbbbbfd dfbbbfd gggggggggggggggg dfbbbfd dfbbbfd gggegggggggggggg dfbbbbd dfbbbfd gggeaggggggggggg dfbbbbfd dbbbbfd ggggacgggggggggg dbbbbbbfd gggggagggggggggg gggggeaggggggggg ggggggacgggggggg gggggggagggggggg gggggggeaggggggg ggggggggacgggggg gggggggggagggggg ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac aac eae caac aac eaa caac aae eaa caac aae eaa caac aae caa caac eae caac aac ea ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0505ff c,#9494ffff d,#ff9f9fff e,#4040ffff f,#ff5757ff g,#ecd8ebff ``` ```image ffdg gbbbbbffdg gdffbbbbbbbbfddg gdffbbbbbbbbffdg gddfbbbbbbbbffdg gdffbbbbbb gdffb gee gaac caag eae gaac caag eae gaac caag eae gaac caag eae gaac caag eae gaac ```  I'll move on to the next area. The intersection must be somewhere. I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0202ff c,#9090ffff d,#ffa2a2ff e,#4242ffff f,#ff4343ff g,#c8c8ffff ``` ```image d dfbbbf fd dfbbbfd dfbbbfd dfbbbfd dfbbbbfd dfbbbfd fbbbbfd dfbbbfd dfbbbfd dfbbbfd e dfbbbbd dfbbbfd ca dfbbbbfd dbbbbfd ac dbbbbbbfd a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac a ca ac aac eae caag gaac eae caag gaae eaa caac aae eaag gaac eae caag gaac eae caag gaac ea ```

This image seems promising for intersection detection. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0b0bfdff b,#fd0404ff c,#7277f5ff d,#f88d8aff e,#f94341ff f,#e5d2ecff g,#aed5aeff ``` ```image c a af ca a ac a af ca a d ac ed fa b af ee ca b a de ac b fa db af bf ca fb a bf ac fb fa bd af b ca ed a b ac ee fa b af de ca b a db ac bf fa fb af bf ca fb a bd ac b fa ed af b ca ee a b ac de fa b af db ca bf a fb ac bf fa fb af bd ca b a ed ac b fa ee af b ca de a b ac db fa bf af fb ca bf a gbgggggggggggggggac gbdgggggggggggggga ggbgggggggggggggag ggbegggggggggggcag gggbgggggggggggagg gggeegggggggggacgg ggggbgggggggggaggg accf ggggebgggggggagggg fccaaaaacf gggggbggggggcagggg fcaaaaaacf gggggdbgggggaggggg fcaaaaaacf ggggggbggggacggggg fcaaaaaacggdbggcagggggg ggcaaaaaacaggggggg ggggggggbccggggggg ggggggggbdgggggggg gggggggggbgggggggg gggggggggbeggggggg ggggggggggbbbbbbbbbbbbbeedddff gggggggggggggggggg ffdddeeebbbbbbbbbbbbeeedddf gggggggggggggggggg ffdddeebbbbbbb gggggggggggggggggg gggggggggggggggggg gggggggggggggggggg ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#0303feff b,#fd090aff c,#8784fcff d,#ffa6a6ff e,#fa6064ff f,#c6c6ffff g,#4141ffff ``` ```image bbd ebb g bbd fa dbb ga bbd caa dbb aac bbe gag dbb faaf ebe gac dbb caa ebe aac bbd gag ebe faaf bbd gac ebb caa bbd aac dbb gag bbd faaf dbb gac bbe caa dbb aac cff ebe gag aaaaggccff dbb faaf ggaaaaaaaaaggcebe gac fccggaaaaaaaaagggaa ffccgaaaaaaac bbccgc ebb bbd dbb bbd dbb bbe dbbbbbbbbbeeeeee ebbbbbbbbbbbbbb ddddddeee ```  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,#0303feff b,#fe0909ff c,#7c7cffff d,#ffb0b0ff e,#ff6262ff f,#d1d1ffff g,#2e2effff ``` ```image c a af ca a gc a af ca a d gc be a b af ee ca b a eb gc b fa db af b ca db a bd gc b fa bd af b ca be a b gc ee fa b af eb cg b a db gc b fa db af bd cg b a bd gc b fa be af b cg ee a b gc eb fa b af db cg b a db ac bd fa b af bd cg b a be ac b fa ee af b cg eb a b ac db fa b af db cg bd a b ac bd fa b a be cg b a ee ac b fa agcf eb a fcgaaaaacf b cg fcgaaaagcf db a fcgaaaagcf b ac fcaaaaagcf db fa fcgaaaaaca bcc bd b be bbbbbbbbbbbbbeeeddd dddeeebbbbbbbbbbbbbbeeeddd ddeeebbbbbbbb ```

Here's an image. My task is to find intersections or areas where lines come close together. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#fd0504ff b,#0909faff c,#b1d7b1ff d,#d19881ff e,#5b66e1ff f,#e5433fff g,#95c799ff ``` ```image e eb be bb ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc cbe ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg bb ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ebe ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg bbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ebgccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg gbbcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ccebgcccccccccccccccccccccccccccccccccccccccccccccccccccccccccg ccccbbcccccccccccccccccdaaccccccccccccccccccccccccccccccccccccg cccccbbccccccccccccccfaacffcccccccccccccccccccccccccccccccccccg ccccccgbeccccccccccaafccccacccccccccccccccccccccccccccccccccccg ccccccccbbccccccdaadccccccdaccccccccccccccccccccccccccccccccccg cccccccccebeccdaadcccccccccafcccccccccccccccccccccccccccccccccg cccccccccccbbafcccccccccccccacccccccccccccccccccccccccccccccccg ccccccccccaaebecccccccccccccdaccccccccccccccccccccccccccccccccg cccccccdaadcccbbcccccccccccccadcccccccccccccccccccccccccccccccg cccccfaacccccccebgccccccccccccacccccccccccccccccccccccccccccccg cccfafcccccccccccbbcccccccccccfaccccccccccccccccccccccccccccccg gaafccccccccccccccebcccccccccccadcccccccccccccccccccccccccccccg daadcccccccccccccccccgbeccccccccccacccccccccccccccccccccccccccccg faa cccccccccccccccccccccbbcccccccccffccccccccccccccccccccccccccccg faf ccccccccccccccccccccccgbeccccccccaccccccccccccccccccccccccccccg aad ccccccccccccccccccccccccbbcccccccdacccccccccccccccccccccccccccg daa cccccccccccccccccccccccccebcccccccafccccccccccccccccccccccccccg f ccccccccccccccccccccccccccgbeccccccaccccccccccccccccccccccccccg ccccccccccccccccccccccccccccbbcccccdacccccccccccccccccccccccccg cccccccccccccccccccccccccccccbbcccccadccccccccccccccccccccccccg ccccccccccccccccccccccccccccccebgccccaccccccccccccccccccccccccg ccccccccccccccccccccccccccccccccbecccfacccccccccccccccccccccccg cccccccccccccccccccccccccccccccccbbcccadccccccccccccccccccccccg ccccccccccccccccccccccccccccccccccebcccaccccccccccccccccccccccg cccccccccccccccccccccccccccccccccccgbecffcccccccccccccccccccccg cccccccccccccccccccccccccccccccccccccbecacccccccccccccccccccccg ccccccccccccccccccccccccccccccccccccccbbdaccccccccccccccccccccg cccccccccccccccccccccccccccccccccccccccebffcccccccccccccccccccg ccccccccccccccccccccccccccccccccccccccccgbfcccccccccccccccccccg ccccccccccccccccccccccccccccccccccccccccccbbccccccccccccccccccg cccccccccccccccccccccccccccccccccccccccccccbbcccccccccccccccccg ccccccccccccccccccccccccccccccccccccccccccccfbgcccccccccccccccg ccccccccccccccccccccccccccccccccccccccccccccffbeccccccccccccccg cccccccccccccccccccccccccccccccccccccccccccccadbbcccccccccccccg ccccccccccccccccccccccccccccccccccccccccccccccacebccccccccccccg ccccccccccccccccccccccccccccccccccccccccccccccffcgbgccccccccccg cccccccccccccccccccccccccccccccccccccccccccccccacccbecccccccccg cccccccccccccccccccccccccccccccccccccccccccccccdacccbbccccccccg ccccccccccccccccccccccccccccccccccccccccccccccccafcccebcccccccg cccccccccccccccccccccccccccccccccccccccccccccccccaccccgbecccccg cccccccccccccccccccccccccccccccccccccccccccccccccdacccccbbccccg ccccccccccccccccccccccccccccccccccccccccccccccccccadcccccbbcccg cccccccccccccccccccccccccccccccccccccccccccccccccccaccccccebgcg cccccccccccccccccccccccccccccccccccccccccccccccccccfacccccccbeg ccccccccccccccccccccccccccccccccccccccccccccccccccccadcccccccbb cccccccccccccccccccccccccccccccccccccccccccccccccccccacccccccceb cccccccccccccccccccccccccccccccccccccccccccccccccccccffcccccccgcbc ccccccccccccccccccccccccccccccccccccccccccccccccccccccacccccccg be ccccccccccccccccccccccccccccccccccccccccccccccccccccccdaccccccg bb cccccccccccccccccccccccccccccccccccccccccccccccccccccccafcccccg eb ccccccccccccccccccccccccccccccccccccccccccccccccccccccccacccccg ccccccccccccccccccccccccccccccccccccccccccccccccccccccccdaccccg cccccccccccccccccccccccccccccccccccccccccccccccccccccccccadcccg ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacccg ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccfaccg cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccadcg ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacg ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccffg cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccag gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggda ad a da ad a ff a a ff a ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0a09feff c,#bebefeff d,#fe7a7aff e,#6461fcff f,#f8353cff g,#febdbeff ``` ```image c be cbbe ebbc bbbe ebbbc cbbb gf ebe dfaad ebbe gdaafd af ebbbc gfaafg aad cbbb dfaaad daa ebbc daaad faf cbbe gfaafd gaag ebbbc gfaaaf daa ebbcgdaaad gaa cbbfaaf da gfbbbg ad daaaebbbc gag daaaad cbbb af gfaafg ebbc aad daaaad ebbbc faf gfaafd cbbbe gaag gfaafg ebbc daa daaaad cbbe fad gdaaad bbe gaa aaf cebbe ad dg ebbc gag cbbe af bbbc aad cbbbe daa ebbb faf ebe daa bbb fad cbbbc gaa bbbe da ebb ad cbbc gag ebbe aag ebbe daa cbbb faf cbbc gaag ebe daa bbe fad cbbbe da ebb ad cbbc gag cbbc af ebbe aag ebbe daa cbbcgaag ebedaf bbefad cbbbfa cbbbf ebbd cbbc bbbe debbe ffbbc gaabbc dafbbe gagcbbbc ff cbbb ad ebe aag ebbc faf bbbc gaag bbbe fad cbbc gaag cbbc daf bbe aa ebbe gag cbbbc ff cbbb aa ebb faf bbbc gaag bbbe daa ebbe fad cbbc daf bbe aa ebb gag cb ff c ad aa gaag daa fad gaag daf aa ff ad aa faf gaag daa gaag daf aa gag ff ad faf gaa da ```  Wow! I can see an intersection so clearly in area A! I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#fe0303ff b,#0a09fdff c,#bdbdffff d,#ff7c7cff e,#6260fcff f,#f6343cff g,#ffc2c2ff ``` ```image c eb cbe bb cbe bb cbc bb ebc bb ebc be daa eb daf ff cbe fad a bb gaad ga cbe daag fd bbaf a aaebc ga gaag bb ad daa ebc a faf bb da gaad eb ag gaag cbe a daa bb ff faf cbe a gaad bb ga daag eb fd f be a bb ga eb ad cbc a be da bb ag eb a cbc ff be a bbga ebfd cbf bb bb fbc dfbe agbb a eb ff cbc a be ga bb ad eb a cbc da bb ag bb a cbc df be ag bb a eb ff cbc a be ga bb ad eb a c da ag a df ag a ff a ga ad a da ag a df ag ga ff a ```

I have a feeling there might be some intersections in this image. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0707ffff c,#9999ffff d,#ff9c9cff e,#4e4effff f,#ff4646ff g,#efd9e8ff ``` ```image g fad da ag ga ag ag ga af ga fa da ga da ag da ad fa ff fa da fa a af ad af af af da ad ga ad ag ad ad ag fa ag ga gag a ga ad ga ff da da da a da ag fa af fa da fa ga af ag af ad af fa ad da ad a ad ad ag ff ag da ga ga ga ag da af da fa da ga fa ag fa ad fa ff af da af a a ggggggccccccccccceeeeeeeeeeebbbbbbbbb gcebbbbbbbbbbbbbbbbbeeeeeeeeeeccccccccccccgggggg gcebbbbbec gcebbbbbec gcebbbbbecg cebbbbbecg bbbecg ```

Time to put on my detective hat and find those intersection points! I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#0a0afeff b,#fd0a09ff c,#b7b7feff d,#f0645dff e,#5f63f7ff f,#f6aaa6ff g,#aed5aeff ``` ```image ggggggggggggggggggggggg ggggggggggggggggggggggd gggggggggggggggggggggdb gggggggggggggggggggggbg ggggggggggggggggggggbgg gggggggggggggggggggbfgg ggggggggggggggggggbdggg gggggggggggggggggbbgggg ggggggggggggggggdbggggg gggggggggggggggdbgggggg gggggggggggggggbggggggg ggggggggggggggbggggggga bd gggggggggggggbfggggggea bf ggggggggggggbdgggggggag b gggggggggggbbgggggggaeg b ggggggggggdbgggggggeagg fb gggggggggdbggggggggaggg fb gggggggggbggggggggaeggg db ggggggggbgggggggggagggg bb gggggggbfggggggggaggggg bd ggggggbdggggggggeaggggg bf gggggbbgggggggggagggggg bf ggggdbgggggggggaggggggg b gggdbgggggggggeaggggggg b gggbggggggggggagggggggg fb ggbggggggggggaegggggggg db gbfggggggggggaggggggggg db bdggggggggggagggggggggg bd bbggggggggggaegggggggggg bd dbgggggggggggaggggggggggg bf fb ac b b ea b b a fb bf ac fb bd ca db bb a bb db ae bd fb a bf b ac c bf b ea ae b bf a ae b bd ac ac fb bb ca ac db db a a db fb ae ca bd b ca ca bd b a ea bf bf ea aa b bd a ae b bb ac ae fb db ca ac fbfb a a db ae a ca ca a ea ee ea a ae ac ae ea ac a ac ae a ca ca a ca ee ea a aa ac ae ea ae a ac ac a ca a a ca ae ea a ea ac aa ea ae a ac ac ac ca a a caae ca ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#0707feff b,#ff0505ff c,#a8a8ffff d,#ff7b7bff e,#5353ffff f,#ffc2c2ff g,#ff3a3aff ``` ```image d fb fbb fbbg gbg gbb dbbf dbbf fbbd fbbd fbbg gbg gbb dbbf dbbf fbbd fbbd fbbg gbg gbb c dbbf a dbbf ea fbbd caa fbbd aae fbbg caa gbg aac gbb eae dbbf caa dbbf aac fbbd eae fbbd caac fbbg aae gbg eaa gbb caac dbbf eae dbbf caa fbbd aac fbbd eae fbbg caac gbg aae gbb eaa dbbf caac dbbf eae fbbd caa fbbd aac fbbg eae gbg caa gbb aac dbbf eaa dbbf caac fbbd aae bbd caa bg aac g eae caa aac ```  Area A doesn't meet the criteria for an intersection. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#0707ffff b,#ff0b0bff c,#9f9fffff d,#ff6363ff e,#5151ffff f,#ffaeaeff g,#eaddf1ff ``` ```image d fb gb bg bf bd bb db fb gb bg a bd bf ea bf bd a bg bb ac gb db ca fb fb a fb gb ae db bg ga bb bf ag bd bd ee bf bb a bf db ac bg fb ca gb gb a fb bg ac db bf ga db bd ag bd bb ee bd db ga bf fb ag bg gb ca gb bg a fb bf ac fb bd ca db bb a bb db ee bd fb ga bf gb ag g bf bg ea ae bg bf a ae gb bd ac ac fb bb ca ag db db a ga db fb ae ga bd gb ga ca bd bg ag ea bf bf ee ea bg bd a ae gb bb ac ac fb db ca ac fbfb a ag db ae ga ga ca ag ca ee ea ga ae ac ae ca ac a ag ac ga ca ga a ca ee ea ga ea ag ae ea ac a ac ac ag ca ga a ca ae ca ga ea ag ae ea ae a ac ac ag ca ag a gaae ca ```

This image seems promising for intersection detection. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#0708fdff b,#fc0d0cff c,#f06f6aff d,#babafeff e,#99c696ff f,#b1d6b0ff g,#5862e2ff ``` ```image gad a ag da ag a aa da aa a ga da ga a ga da da a da da dad a ad da ad a ag da ag ad ag da aa ad aa a ga efffffffffffffffffe ad ga ffffffffffffffffffe a ga ffffffffffffffffffe ad da ffffffffffffffffffe a da ffffffffffffffffffe ad dad ffffffffffffffffffe a ad ffffffffffffffffffe ad adffffffffffffffffffe c a agfffffffffffffffffe cb effffffffffffffead agffffffffffffffffe bc efffffffffffffffa faafffffffffffffffe b effffffffffffffag ffaaffffffffffffffe cb effffffffffffffa fffaafffffffffffffe bc efffffffffffffag ffffgaffffffffffffe b efffffffffffffaf fffffgafffffffbfffe fbeffffffffffffagf ffffffgafffffbcfffe bcffffffffffffaff fffffffgafffbcffffe bfffffffffffagff ffffffffeafbcfffffe ebffffffffffafff ffffffffffacffffffe ebbffffffffggfff fffffffffbbagfffffe efbefffffffaffff ffffffffbbffagffffe effbffffffggffff fffffffbbffffagfffe effcbfffffafffff ffffffcbffffffafffe efffbcfffggfffff fffffcbfffffffffffe effffbfffaffffff ffffcbffffffffffffe effffcbfggffffff fffcbfffffffffffffe efffffbcafffffff ffebffffffffffffffe effffffgafffffff febfffffffffffffffe effffffabfffffff ebffffffffffffffffe efffffgabcffffff beffffffffffffffffe efffffaffbffffff befffffffffffffffffe effffgaffebfffff bfffffffffffffffffffe effffaffffbbffff bc ffffffffffffffffffe efffgafffffbefff bc ffffffffffffffffffe efffafffffffbfff bc ffffffffffffffffffe effgafffffffcbff bc ffffffffffffffffffe effafffffffffbef bb ffffffffffffffffffe efgaffffffffffbf bb efffffffffffffffffe efafffffffffffcb bb egaffffffffffffbc cb eaffffffffffffffb cb gaffffffffffffffcb cb afffffffffffffff bc cb dafffffffffffffff b fb aefffffffffffffff fb b daefffffffffffffff bc b adefffffffffffffff b b da feeeeeeeeeeeeeee b b ad cb b a b bf ad b bc a cb bc ad bf bc a b bc ad cb bb bc bb b bb cb cb bc cb bcb fb ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#0303feff b,#fe0808ff c,#ffb0b0ff d,#7373ffff e,#fa575cff f,#b9b9ffff g,#3630f9ff ``` ```image f g fa ga faa gad faa c gad b faa be gad bbc faa ebb gad ebe faa cbbc gad cbb faa ebe gad bbe faa cbbc gad ebb faaf bbe gad cbbc faaf ebb dad bbe faaf cbbc dag ebb faaf bbe dag cbbc aaf cbb dag ebe aaf bbcdag cbbaaf egag aae dagbc aaebb dag bbe aaf cbbc dag ebb aaf bbe dag cbbc aaf ebb dag ebe aaf cbbc dag cbb aaf ebe dag bbc gad cbbc faa ebb gad bbe faa cbbc gad ebb faa bbe gad cbb faa eb gad b faa c gad faa gad faa gad faa gad aa ad a d f ```  There's no doubt about it - this is an intersection in area A. Hmm, interesting. Let's check out another area. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#0908fdff b,#ff0303ff c,#ff7f7fff d,#b2b2ffff e,#f93136ff f,#ffc5c5ff g,#5f5ffeff ``` ```image g ag aag daag daag daag daaa daaa aaad aaad gaad gaad gaad c gaag cbe gaag cbbc daag cbbc daag fbbc daag fbbc daaa fbbc daaa fbbe daaaebe aaae feaaad ebegaad ebe gaad ebbf gaad ebbf gaag ebbf gaag ebbf daag cbbf dag cbbf d cbbc cbbc cbbc fbbc fbbc fbbc fbbe fbbe fbbe febe ebe ebe ebbf bbf bf f ```  Bingo! This close-up reveals an intersection in area B! There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#0505ffff b,#fe0708ff c,#ff9696ff d,#9494ffff e,#fd4c4eff f,#dfd1f0ff g,#4946fbff ``` ```image f dad a ag da ag a ag da aa a ga da ga a da da da a fa fa faf af faf fa ad af ad fa ag af ag fa aa af ga fa ga af ga fa da af da a faf ad faf a af ad ad e a ad cb ad ag bc a ag b ad aa cb a ga bc gd ga b a ga b cb gd da bc be a da be b gd fafbe fb a fae ee gg bead bf a eb ad b gg eb ag eb a eb a bc gg cb b a cb cb gg cb bca fb gg fb ab b dgbe bf a b bf dg fb bc a ee bc da bf bc a fb be da ee be a bf be da b bb a cb eb da bc eb a b eb fa cb cb af bc cb fa b cb af cb fb fa be fb af b b fa fb bf af ee bf fa bf bc af b bc fa eb bc af bc be a b be ad cb be bc bb b eb cb eb be eb bcb fb ```

Time to put on my detective hat and find those intersection points! I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#fe0707ff b,#5254f3ff c,#fba9a7ff d,#add5adff e,#f35651ff f,#0707fdff g,#a3a7f7ff ``` ```image ddddddddddddddddddddddd ddddddddddddddddddddddd ddddddddddddddddddddddd ddddffddddddddddddddddd ddgfgbfdddddddddddddddd dffdddfdddddddddddddddd ffddddbfddddddddddddddd gfbddddddfddddddddddddddd bf ddddddddfdddddddddddddd ff dddddeddfgddddddddddddd fg ddddeaaaefddddddddddddd bf ddddadddefbeddddddddddd ff dddaedddddfaaaddddddddd fb dddaddddddbbdcaaadddddd gfg ddaedddddddfddddeaaeddd ff ddaddddddddbfddddddeaae fb dacdddddddddfdddddddddeaac gfg daddddddddddgfddddddddd eaac bf addddddddddddfgdddddddd caaac ff cadddddddddddddfdddddddd caae gfg addddddddddddddfbddddddd caae bf cadddddddddddddddfddddddd eaae ff a dddddddddddddddbbdddddd eaac fb ea f eaac gf a gf caaa ff ee f ca fb a gf gfg ee fg bf a f fb ac fg fg a f ac bb a f ac bf ca f a gf ca f a f ca fg a f ee bb a f ee bb a f ee gf a f ac gf a fg ac f a fb ac f ca bb a f ca gf a f ca gf a fg ee f a fg ee f a bb ac f a gf ac f a gf ac fg ca f a fg ca f a bb ca f a bf ee f a gf ee f a f ee fg c f bb f bb f ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#fe0708ff b,#403af8ff c,#ffb3b3ff d,#7d7afbff e,#fb5b5fff f,#0504feff g,#c2c2feff ``` ```image g dffg dfffb gbffdffg gfffg dfb dffb ffg bffd dff gfffg ffd dffbg dff ffd bfd fg gffg g bfb gffg dfb cec ffg caaaaec dfb eaaaaaaaeffd caa ceaaaeff eae ceaffbec caa dffaaaec aae bfbaaaaaec caa gffgceaaaaaec aac bfb ceaaaaac caa gffg ceaaaaec aac dfb ceaaaaec eaa ffd eaaaaaec aac dff ceaaaaa eae bfd ceaa aac gff c eae bfd caac gffg eae bfb caac gffg eae dfb aa ffg ae dff a ffd e gff bfd gffg bfb ```  An intersection is present within area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#ff0909ff b,#3b37faff c,#feacadff d,#7777ffff e,#ff5b5bff f,#0404feff g,#bfbfffff ``` ```image g ff gfgdb bf f fb gf gfg fg bf gf ff e fg gfd eaaacf df a efbc ff ae faaac fd a db caaa dfg ac f caae bf a df eaae fb ac f eaac gfg ca gf eaac bf a fg caaac fb ca f caae gfd a fd caae df ca f eaae ff a bb eaac fd ea f aaac dfg a db caaa ff ee f ca fb a gf gfg ee fg bf a f fb ac fd fg a f ac bd a f ac db ca f a gf ca fg a gf ca fg a f ee bd a f ee db a f ae gf a fg ac gf a fg ac f a bd ac f ca db a f ca df a f ea gf a fg ee f a fd ee f a bb ae f a db ac f a gf ac fg ca f a fd ca f a bd ca f a db ea f a gf ee fg a gf ee fg c f bd f db f ```

This image might have some surprises. Let's look for intersections carefully. After a thorough analysis, I conclude that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#4242ffff b,#ff4849ff c,#9696ffff d,#0404ffff e,#ff9595ff f,#ff0505ff g,#ecdbedff ``` ```image c gdd ddg adc cda gdd ddg adc cda gdd ddg adc cda cda ddg adc adc cda gdd ddg adc cda gdd ddg adc ada gdda cddc gdda cddc gdda cddc gada cddc ada cddc adag cddc addg cddc ag fbg efffe gbfffe ebffbg efffe gbfffe ebffbg efffe gbfffe efffbg efffe gbffbg efffe bfffe ebffbg efffe gbffbg efffe gbfffe efffbg efffe gbffbg eff ```

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,#fe0707ff b,#4f50f6ff c,#ffc2c2ff d,#989cf5ff e,#e76b62ff f,#0707fdff g,#aed5aeff ``` ```image ggggggggggggggggggggggggggg ggggggggggggggggggggggggggg ggggggggggggggggggggggggggg ggggggggggggggggggggggggggg ggggggggggggggggaaggggggggg gggggggggggggggaefbgggggggg ggggggggggggggaefgffbgggggg gggggggggggggaebfgeaffdgggg ggggggggggggaegfgggaggffggg gggggggggggaegbfggggagggffg ggggggggggaeggfgggggaegggdff gggggggggaeggbbggggggagggggdfb ggggggggaegggfgggggggaegggg bfb gggggggaegggfbggggggggagggg bfd ggggggaeggggfgggggggggeaggg ffd gggggaeggggfdggggggggggaggg ff ggggaegggggfgggggggggggeagg ff gggaegggggfdggggggggggggagg dff ggaegggggdfggggggggggggggag dfb gaeggggggfgggggggggggggggae bfb aeggggggdfgggggggggggggggga bfd aegggggggfgggggggggggggggggae ffd ac df a ff ac f ee ff ac bb a dff ac f ea dfb ac bb a bfb ac f ca bfd ac fd ac ff ca f a ca fd ac ca f a ca f ee ca df a ca f ea ca df a ca f ca ca bb ac ca f ca a bb ac f a fd ae f a fd ea f a f ca df ac f ca df ac f a bb ae f a bb ee f a fd ea f a fd ca f ac fd a df ae f a df ee f a df ea f a bb ca f ac bb a f ac fd a f ee fd a ea a ca ac ca ac a ae a ea a ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#fd0405ff b,#3a2df1ff c,#ffa8a8ff d,#c1c0feff e,#fc6365ff f,#0303feff g,#7878ffff ``` ```image caa caaae caabbac caaefffbd caaebfbfffg caaedff ebfffg caae bfg aabfffg caae gff caadbffbd caae ffg aae gfffbd caae gfb caa gfffbd caae ffd eae gfffgd caae gfb caac dgfff caae dffd eae dbf caae gfb aac d caae dffd eaa caae bfg aac caae dffd caa eaae bfg aae eaae dff caa eaae bfg eae eaac gff caac eaac ffg eae eaac gfb aac eaac ffd eaa eaac gfb aac eaac ffd caa eaac gfb aae eaac dffd caa eaac bfb eae eaac dffd caa eaac bfg ea eaac dff a eaac bfg e eaac dff ```  Wow! I can see an intersection so clearly in area A! There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#fe0505ff b,#4f4dfcff c,#ffa1a1ff d,#9d9dffff e,#fc5557ff f,#0706feff g,#f3d9e4ff ``` ```image g aa aefb aef ffd aedf caffd ae f ag ffg ae bb ga gff ae f ac dff ae bb a dfb ac f ae bfb ac fd a bfd ac f ee ffd ac fd a ffg ac gf ca gff ac fg ag dff ac df ga dfb ac fg ac bfb ac df ga bfd ac f ac ffd ag df a ffg ag f ee gff ag bb a dff gag f ca dfb gag bb ag bfb gag f ca bfd gag fd ag ff gag f ga gag fd ac gag gf a gag fg ee ga df a ga f ea ca df a ca f ca ca bb ag ca f ga e bb ac f a fd ee f a fd ee gf a fg ca df ag f ga df ac f a bb ae f a bb ee f a fd ca f ag fd ga gf ac fg ga df ac fg a df ee f a db ca f a bb ca f ag bb ga f ac fd a gf ee fd a ea a ca ag ga ac a ee a ee a ```

This is the image I'm working with. The goal is to count the intersections. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#4d50f9ff b,#fe0303ff c,#f83f3dff d,#aed5afff e,#decfefff f,#0707fdff g,#f08c85ff ``` ```image e aff f afe fa ff f afe fe ff ef afe f ff aa afe f fa fa afe f efa fe afe ef efa f afe aa efa f afe fa efa f afe fe efa be dddddddddddddddd ef afe b dddddddddddddddd f efa cg dddddddddddddddd aa afe b dddddddddddddddd f efa gb ddddddddddddddddfa afe be ddddddddddddddddf efa b dddddddddddddddfe afe ccdddddddddddddddf efa bddddddddddddddfd afe gbddddddddddddafd efa bgdddddddddddfdd a dbddddddddddfadd dccdddddddddfddd ddbddddddddfdddd ddgbdddddddfdddd dddbgdddddfddddd ddddbddddafddddd ddddccdddfdddddd dddddbddfadddddd dddddgbdfddddddd ddddddbfdddddddd dddddddfdddddddd ddddddfccddddddd dddddafdbddddddd dddddfddgbdddddd ddddfadddbgddddd ddddfdddddbddddd dddfddddddccdddd dddfdddddddbdddd ddfddddddddgbddd dafdddddddddbgdd dfdddddddddddbdd fadddddddddddccd efdddddddddddddbd fddddddddddddddgb efdddddddddddddddbg feddddddddddddddddb aa ddddddddddddddddcc f dddddddddddddddd b g fa dddddddddddddddd eb gbb f dddddddddddddddd bg gbc fe dddddddddddddddd b cbc ef dddddddddddddddd cc cbc f b bbg eb ebbg bg ebbe b gbbe cc gbb b gbc eb cbc bg cbc b bbg gc bbg b ebbe eb gbbe bg gbb b gbc gc cbc becbc ebg ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#0a09feff b,#fe0606ff c,#fe4949ff d,#5f5bfaff e,#a7a7feff f,#f2d7e3ff g,#fd9293ff ``` ```image f c e bf a bc ea bbg aa gbbf daa cbc faae fbbf dad cbc eaaf fbbg aad gbbf eaa cbc aae fbbf daa cbc faae fbbg dad gbbf eaaf cbc aad fbbf eaa cbc aae bbg daa gbbf faae cbc dad fbbf eaaf cbb aad bbg eaa gbbf aae cbcdaa fbbaae gaad eaag aadbf eaacbc aaefbbg daa gbb faae bbg dad gbbf eaaf cbc aad fbbg eaa gbb aae bbg daa gbbf faae cbc dad fbbg eaaf gbb aad bbg eaa gbbf aae cbc daa fbbg faae gbb dad bbg eaaf gbbf aad cbc eaa fbb aae gb daa b aae g ad af d ```  Yes! I knew it! There's an intersection right here in area A! I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#3232ffff b,#ff0505ff c,#fe4f50ff d,#6969ffff e,#c8c8feff f,#0000feff g,#ffacacff ``` ```image e dfa f dfe ad fa f dfe fe fa ef dfe f fa da dfe f fa ad dfe f fa fe dfe ef fa f afe da fa f afe ad efa f afe fe efa bg ef afe b f efa bc da afe b f efa gb ad afe bg f efa b fe af cc ef efa b f af gb da efd bg f a b ad cc f b fe gb ef bg f b da cc f b ad gb f bfe ef fcc da b f gb ad bg f b fe cc ef b f gb da bg f b ad cc f b fe gb ef bg f b da cc f b g ad gb gbb f bg cbb fe b cbc ef cc cbc f b bbg gb bbg bg gbbg b gbb cc gbb b cbb gb cbc bg cbc b bbc cc bbg b gbbg gb gbbg bg gbb b cbb cb cbc b cbc gbc ```

Let's examine this image for potential line intersections. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0000ffff c,#fececeff d,#b5b6fdff e,#ed7c74ff f,#afd6afff g,#3e45f0ff ``` ```image e aa aac eae caa aac eae caa aa eac eae aa aac eae caa aac eae caa aa eac eae aa aac eae caa aac cae ca ca ca ca ca ca ca ca ca ca b ca b ca b cac b cac db cac db ac db ac db ac db ac db ac db ac db fffffffffffff ac db fffffffffffff ac db fffffffffffff ac db fffffffffffff ac db fffffffffffffac db ffffffffffffac db fffffffffffae db ffffffffffaef db fffffffffaeff db ffffffffaefff db fffffffaeffff db ffffffaefffff db fffffaeffffff db ffffaefffffff db fffaeffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffffffffffff db fffbbbggfffff db ffffffdgbbbgg db fffffffffffggbbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbb ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#ff0101ff b,#0202ffff c,#ffa5a5ff d,#b9b9ffff e,#ff6061ff f,#6e6effff g,#3b3bffff ``` ```image e ea eaa eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac eaac caac ec bgfdd dbbbbbbgfdd dfgbbbbbbbgfdd ddfgbbbbbbbgf ddfgbbbb ```  I had hoped to find an intersection in area A, but there isn't one. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0000ffff c,#ffb7b7ff d,#afafffff e,#ff6b6bff f,#f3e1edff g,#3a3affff ``` ```image c faa aac eae faa aaf eae caa aaf eac cae faa aac eae faa aaf eae caa aaf eac cae faa aac eae faa aaf cae ca ca ca ca ca ca faf faf faf faf fb faf fbf faf fbf faf fbf faf fbf faf fbf faf fbf faf fbf faf fbf faf fbf faf fbf ac fbf ac fb ac db ac db ac db ac db ac db ac db ac db ac db ac db ac db ac db ac db ac db ac db db db db db db db db db db bbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbbbgd db dgbb ```

The hunt for intersections begins! Let's analyze this image closely. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fd0b0bff c,#8287f3ff d,#f47471ff e,#e2d0ecff f,#aed5afff g,#4545fdff ``` ```image e ca aea cg gg a ae gg a a ca gg ac a a gg ea a gg gc ae a a fffffffffffffffagfffff ca fffffffffffffffaffffff ag ffffffffffffffacffffff ae ffffffffffffffafffffff ea fffffffffffffacfffffff ga fffffffffffffaffffffff ac ffffffffffffacffffffff a ffffffffffffafffffffff ca fffffffffffacfffffffdbb gg fffffffffffafffdbbbbdfbb ae ffffffffffadbbbbdfffff be ea ffffffdbbbadffffffffff b ca ffdbbbbdfaffffffffffff db ac dbbbbdffffffaffffffffffff bd a edbbbbe ffffffffafffffffffffff be ea dbbbbde fffffffcafffffffffffff b gg bbbd fffffffaffffffffffffff db ae ffffffcaffffffffffffff bd a ffffffafffffffffffffff be ca fffffcafffffffffffffff b ac fffffaffffffffffffffff db a ffffcaffffffffffffffff bd ea ffffafffffffffffffffff be gg ca b ae a db a cg bd ca a be ac cg b ae a db ea gg bd ga a be ac gg b a a db ca gg bd ag a be ae gc b ea a db ca gc bd ac a be a ac b ea a db gg ac bd ae a be a ac b ca a db ac ae bd a ea be ea ae eb gg ea db a ae bd ea be ae eb ea db ae bd ea be a eb ca db a bd be eb db bd be eb db bd b ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#0303feff b,#fe0707ff c,#7f7fffff d,#fb5e62ff e,#b8b8ffff f,#ffb4b4ff g,#362ef7ff ``` ```image eaa gac eaa gac eaa gac caa gac cag aac cag aae cag aae cag aae cag aae ffd cag fddbbbb aae ffdbbbbbbbdd cag fddbbbbbbbdff aadbbbbbbbddf fddgagbbbbdff ffdbbbbbaaddf fddbbbbbbbdgag ffdbbbbbbbddf eaae fddbbbbbbbdff gag bbbbbddf eaae bdff gac eaae gac eaa gac eaa gac eaa gac eaa gac eaa gac eaa gac caa gac ```  Case closed! This is definitely an intersection point in area A. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0303feff b,#fe0909ff c,#7b7bffff d,#fd6668ff e,#c1c1ffff f,#ffbfbfff g,#3a3affff ``` ```image e ca aea cg gg a ae cg a a ca gg ac a a gc ea a gg gc ae a a gc ca a ac gc ae a ea ac cg a ae ae a a ea ae fdbb gg a fbbbbd bd ae adbbbdf bf a fbbbad b ca fdbbbdf ae fb ac fbbbbd ea bd a fdbbbdf ae bf ea fbbbbd ea b gg bbbf a fb ae ea bd a a bf ca ea b ac a fb a ca bd ea a bf gg cg b ae a fb a cg bd ca a bf ac cg b a a db ea cg bd gg a bf ae gg b a a db ea gc bd gg a bf ae gc b a a db ca gc bd ac a bf a gc b ea a db gg ac bd ae a bf a ae b ca a db ac ae bd a a bf ea ae b gg ea db a ae bd ea bf ae b ea db a bd ea bf a fb ea db a bd b fb db bd b fb db bd b ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. There are 2 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#0606fdff b,#fd0b0aff c,#9095f3ff d,#b1d6b1ff e,#97c599ff f,#eb6a65ff g,#444af0ff ``` ```image ca aca ca a a a a ac ac a a ca gc a a a gg ac a a ca gg a a ca ca a ac a a ac gg a a gc ca a ac gg a a gg ca a a ca ca ac a a a ggeeeeeeeeeeeeeeeed ac adddddddddddddddde fb edddddddddddddae caddddddddddddddde bb bd dddddddddddddgge aedddddddddddddde bf bf dddddddddddddade eadddddddddddddde fb bf ddddddddddddggde dagddddddddddddde bb bb ddddddddddddadde ddaddddddddddddde bf fb dddddddddddcadde ddgaddddddddddddedbd fb dddddddddddaddde dddaedddddddddddbb db ddddddddddeaddde dddeaddddddddddbb bfdddddddddaeddde ddddagddddddddbfe bfddddddddadddde dddddaddddddfbdde dbbddddddacdddde dddddgaddddbbddde ddbbdddddaddddde ddddddadddbfdddde dddfbdddggddddde ddddddeafbeddddde ddddfbddadddddde dddddddafddddddde dddddebggdddddde ddddddbbaddddddde dddddddafdddddde ddddebfdggdddddde ddddddcabfddddde dddfbddddadddddde ddddddaddbbdddde ddbbdddddcaddddde dddddeadddbbddde ebfdddddddacdddde dddddaeddddfbdde fbddddddddddadddde dddddaddddddfbde bbdddddddddddggddde ddddacdddddddebe bf ddddddddddddaddde ddddaddddddddddbf dbd ddddddddddddcadde dddggddddddddddebf bb dddddddddddddacde dddaddddddddddde bb bb ddddddddddddddade ddggddddddddddde bb bf ddddddddddddddgge ddadddddddddddde fb fb dddddddddddddddae dcadddddddddddde fb bb dddddddddddddddca daddddddddddddde b bf ddddddddddddddddac eaddddddddddddde bf fb eeeeeeeeeeeeeeeeea aeddddddddddddde bf bb gg aeeeeeeeeeeeeeed bb bf a ac bbd ca a a gc a a ac cg a a ca ca a a a a ac ac a a cg ac a a a gg a a cg a ca a ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0708ff c,#8888ffff d,#feaaaaff e,#ccccffff f,#fa4d52ff g,#4743fbff ``` ```image caa gac eaa gac eaa gag eaae cag aae cag aac caa gac eaa gac eaae d gag bd eaae bbd cag fbbf aae dbbf cag dbbf aac dbbb caa bbbd gac fbbd eaa fbbd gac fbbf eaae dbbf gag dbbf eaae dbbbgag bbaae gaad aafbd caafbbf gac dbbf eaa dbbf gac dbbbd eaae bbbd gag fbbd eaae fbbd cag fbbf aae dbbf cag dbbf aac dbbb caa bb gac f eaa gac eaae gag eaae cag aae cag aac caa gac eaa gac eaae gag eaae ```  The lines cross each other within area A, forming an intersection. Let's inspect the next region. Let's take a closer look at area B.  ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0707ff c,#7d7dffff d,#ffa7a7ff e,#c4c3feff f,#f44852ff g,#3f3ffeff ``` ```image e g ac aa gac eaae gag aae caa gac eaae gag eaae caa aac eaae gag d eaae db caa fbb aac fbbd eaae dbbbd gag fbbf eaae fbbf cag dbbbd aac dbbb caa fbbf gag dbbbd eaaedbbbd caabbf eaafd dbfaa dbbfgac fbbf eaae dbbbd cag dbbb aac fbbf caa bbbd gac dbbbd eaae fbbf gag fbbd aae dbbbd caa bbf gac bf eaae d gag eaae caa aac eaae gag eaae caa aac eaae gag eaa ca a c ```  Wow! I can see an intersection so clearly in area B! After a thorough search, I conclude that there are two intersections.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#ff0707ff c,#7978feff d,#feadadff e,#bfbfffff f,#fb4e52ff g,#3b3bffff ``` ```image e ca aca ea ae ae ea a ac ae a a cg gc a a ea cg ac a a cg cg a a ea ea ae ae a a ae gg a a gc ea a ae cg a a gg cg a a ea ea ae ae a a gc ae a fb a ca bb bd gc ae bf bf a a dbd bf cg gc fb bb a a bf fb ca ca dbd db a ae fb db ea ea bb bd ae ac bd bf a a fb bf ae cg bb bb a a bf fb gc eadbd db a af dbcg bfa ad dbd cg eabf fb a a bf bb ea ea bb bf ae ae fb db a a db bb gg ae dbd bf a a bd dbd ea gc bf fb ae a bb bf a cg fb dbd gg a fb fb a ea db bb ea a dbd bf ae ea bd db a ae bf bb gc a bb bf a ae fbd ca a ae gc a a gc cg a a ca ea ae a ea ea ac ae a a cg ac a a ea gc g a cg a ea a ```

Alright, let's get to work and investigate this image for intersections. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0b0bfdff b,#f0625cff c,#646ceeff d,#ffb5b5ff e,#fd0707ff f,#bbbcfbff g,#aed5adff ``` ```image ffffffffff gggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ggggggggggggg af ggggggggggggg a ggggggggggggg ac ggggggggggggg a ggggggggggggg ca d ggggggggggggg a dbeee gggeeebgggggg ggcagggggggggggg dbeeed ggggggeeebggg gggagggggggggggg beeeb gggggggggbeeeb ggggaggggggggggg beeeb gggggggggggggbeebd ggggacgggggggggg beeeb ggggggggggggg deeeb gggggagggggggggg deeebd ggggggggggggg beeed gggggacggggggggbeeebd ggggggggggggg deeeb ggggggagggggeeeed ggggggggggggg beeed ggggggcabeeebggg ggggggggggggg deeeb ggggbeeabggggggg beeed beeebggcaggggggg dbebgggggggaggggggg gggggggggagggggg gggggggggacggggg ggggggggggaggggg ggggggggggacgggg gggggggggggagggg gggggggggggcaggg a fa af fa af a ac a ca a fa af fa af a ac a ca a fa af fa af a ac a ca a fa af fa af a ac a ca a fa af fa af a ac a ca a fa af fa af a ac a ca a ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0303ffff b,#ff3e3eff c,#2a2affff d,#ffbcbcff e,#ff0404ff f,#c6c7ffff g,#ff7878ff ``` ```image fffffffffffffffffff faaaaaaaaaaaaaaaaaaa fccccccccccccccaaaaa ebgd deeeeebd dbeeeeebgd dgbeeeeebgd dgeeeeebgd dgbeeeee dgee d ```  Unfortunately, there's no intersection inside area A. I'm ready to analyze the next area. This close-up might reveal an intersection in area B.  ```palette Key,Color ,#fefefeff a,#0605feff b,#ef3343ff c,#4e4dfeff d,#febdbdff e,#fe0303ff f,#a4a4ffff g,#fe7b7cff ``` ```image aaf faa cac faa cac aaf cac aaf faa aaf faa cac faa dgb cac dgbeeee aaf dgbeeeeebgd cacgbeeeeeegd dgbaabeeebgd dgbeeeebaagd dgeeeeeebgdaaf dgbeeeeebgd faa eeeeebgd cac ebgd faa cac aaf cac aaf faa aaf faa cac faa cac ```  Oh my, look at that! It's an intersection in area B! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#0303ffff b,#ff5656ff c,#6a6affff d,#fea6a6ff e,#ff0505ff f,#bdbdffff g,#3030feff ``` ```image fffffffff gggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa af a gc a cg d a dbeee eeed fa beeed dbeeb af beeed deeed fa beeeb beebd af deeeb deeeb a deeeb beeed gc deeebd deeeb a dbeebd beeed cgbeeed deeeb beead beeed beeed fa dbeb af fa af a gc a cg a fa af fa af a gc a cg a fa af fa af a gc a cg a fa af fa af a gc a cg a fa af fa af a gc a cg a fa af fa af a gc a cg a fa af fa af a gc a cg a ```

This image seems promising for intersection detection. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#fc0706ff b,#0c0dfaff c,#daa190ff d,#f0f2eeff e,#6d7edcff f,#b0d7b0ff g,#e8534cff ``` ```image d cad adad ca da ad ca da ca dddddddddddddacdddddgadddddddddddddddddddddddddddddddddddddd dfffffffffffffafffffffaafffffffffffffffffffffffffffffffffffff dffffffffffffagffffffffagffffffffffffffffffffffffffffffffffff dffffffffffffaffffffffffagfffffffffffffffffffffffffffffffffff dfffffffffffggfffffffffffacffffffffffffffffffffffffffffffffff dfffffffffffafffffffffffffacfffffffffffffffffffffffffffffffff dffffffffffgaffffffffffffffafffffffffffffffffffffffffffffffff dffffffffffafffffffffffffffcaffffffffffffffffffffffffffffffff dfffffffffcaffffffffffffffffcafffffffffffffffffffffffffffffff dfffffffffacfffffffffffffffffgaffffffffffffffffffffffffffffff dfffffffffafffffffffffffffffffgafffffffffffffffffffffffffffff dffffffffacffffbbbbffffffffffffaaffffffffffffffffffffffffffff dffffffffaffbbbeffebbfffffffffffagfffffffffffffffffffffffffff dfffffffgbbbefffffffebbffffffffffagffffffffffffffffffffffffff dfffffbbbeffffffffffffebbfffffffffacfffffffffffffffffffffffff dffbbbeggffffffffffffffffbbefffffffacffffffffffffffffffffffff dbbbefffafffffffffffffffffffbbeffffffaffffffffffffffffffffffff fbbbffffffcafffffffffffffffffffffbbeffffcafffffffffffffffffffffff ebbbd dfffffaffffffffffffffffffffffffbbbfffcaffffffffffffffffffffff ebbbd dffffcaffffffffffffffffffffffffffebbffgafffffffffffffffffffff ebbbd dffffacffffffffffffffffffffffffffffebbfgaffffffffffffffffffff ebbbd dffffafffffffffffffffffffffffffffffffebbgafffffffffffffffffff ebbbd dfffacfffffffffffffffffffffffffffffffffebbgffffffffffffffffff ed dfffafffffffffffffffffffffffffffffffffffffbbeffffffffffffffff dffggffffffffffffffffffffffffffffffffffffffabbeffffffffffffff dffaffffffffffffffffffffffffffffffffffffffffacbbeffffffffffff dfggfffffffffffffffffffffffffffffffffffffffffaffbbbffffffffff dfaffffffffffffffffffffffffffffffffffffffffffcafffebbffffffff dgafffffffffffffffffffffffffffffffffffffffffffcaffffebbffffff dafffffffffffffffffffffffffffffffffffffffffffffgafffffebbffff caffffffffffffffffffffffffffffffffffffffffffffffgafffffffbbef acfffffffffffffffffffffffffffffffffffffffffffffffaaffffffffbb dafffffffffffffffffffffffffffffffffffffffffffffffffagfffffffff acffffffffffffffffffffffffffffffffffffffffffffffffffagffffffff adfffffffffffffffffffffffffffffffffffffffffffffffffffacfffffff ggdffffffffffffffffffffffffffffffffffffffffffffffffffffacffffff a dfffffffffffffffffffffffffffffffffffffffffffffffffffffaffffff gg dfffffffffffffffffffffffffffffffffffffffffffffffffffffcafffff a dffffffffffffffffffffffffffffffffffffffffffffffffffffffcaffff ca dfffffffffffffffffffffffffffffffffffffffffffffffffffffffgafff ad dffffffffffffffffffffffffffffffffffffffffffffffffffffffffgaff da dfffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaf ad dffffffffffffffffffffffffffffffffffffffffffffffffffffffffffag da ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddda ac a gg a gg a ca ad da ad da ac a gg a gg a ca ad da ad da ac a gg a cg a ca ad ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0404feff c,#fe9797ff d,#f1d7e4ff e,#9494feff f,#463ff8ff g,#f9474dff ``` ```image aa gaad caa gaad aac gaad caa daag gac daag daad daag gag caa daad cac gag cac daad aac aac gaad caa gaad aac daag caa daag gac daag daad caac gag caac daad caac gag gaad daad gaad cag effd gaad aac ebbbbbfe gaad caa efbbbfefbbbfe daag aac defbbbbfd debbbbe daag caadefbbbbfed ebbbbe daag ggfbbbbfed ebbbbed caac defbbbbfed efbbbfd caa efbbbbfed efbbbf cac defbbbfgad dfbbfe gad debbbbfe gag dfbbfe aad bbbbfe cag ebbbbe gaad bfe aac ebbbbe daag caa efbbbed daag aac efbbbfd daag caa efbbbfd caac gac dfbbbf caac aad dfbbfe caac ag debbbe gaad dad ebbbbe gaad gg ebbbbedgaad dad efbbbfgaa ca efbbbfag aa dfbbbfg caa dfbbbfe aac dfbbbfe caa cfbbbe gac cagbbbe daad gaabbbbed gag gadefbbbfd daad gad efbbbfd gag dag dfbbbfe cag daag debbbbe aac daag ebbbbe caa caac ebbbb aac caac efbbfd caa caac ebbbfd gac gaad efbbbfd aad gaad dfbbbfe ag gaad dfbbb ad daag deb g daag c daag daag caac caac caac gaad gaad gaa daa dag aag caac caac caac gaad gaad gaad daag daa da ```  The close-up clearly shows an intersection point in area A. There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#fe0505ff b,#0606feff c,#ff8080ff d,#fec2c2ff e,#a9a9ffff f,#4a49fdff g,#fa3f43ff ``` ```image d cad a a da da ad da a ca ad ga a ga gc ag a ac cg ad a ad ca a a da da da ad ca a ga ad fbbf gg a fbbe fbb ag gfbbe ebb ac efbbe ebbe ad ebbbecg ebbe ad ebbbe a bbe a ebbbe ca bbf da ebbbe a fbf da ebbbe da fbf ca ebbf ad ebb ga ebbf a ebbgg ebbf ad ebbg f a bbe gc abbe a adfbf cg a fbf a da fbb ca da ebb a ca ebbe da ga ebbe ad gg bb a ag ad ac a ad gc ad a a cg da a da ca ca a ga da ag ad ag a a ac a gc a cg a ca a da ad a ac a gc a cg a da a da ad a ac a gc a cg a da a ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#e84b49ff b,#0505feff c,#969cf1ff d,#fba3a1ff e,#fd0606ff f,#add5adff g,#3d45efff ``` ```image d e ed e e de e aa e aa e ed e cb ed bcb de bc cb e cb gb de b bg e bc bc aa gg bc e b b ed b b e gg cb ed b cb de b gb e gg bg de cb bc ffffffffffffffef b bc fffffffffffffaaf bc b fffffffffffffeff cb bffffffffffffeaff b cbfffffffffffefff bc gbfffffffffedfff cb fgbffffffffeffff b ffbgffffffefffff bc fffbgffffaefffff cb ffffbcfffeffffff b fffffbffaaffffff bc ffffffbfefffffff gb ffffffcbafffffff ffffffffffffffffb fffffffabfffffff fffffffffffffffb ffffffedgbffffff ffffffffffffffgg ffffffeffbgfffff a ffffffffffffffbf fffffeffffbgffff defffffffffffffbff ffffdefffffbcfff defffffffffffggff ffffefffffffbfff aefffffffffcbfff fffaeffffffffbff faeffffffffbffff fffefffffffffcbf ffaeffffffbgffff ffaaffffffffffgb fffaeffffcbfffff ffeffffffffffffgb ffffaefffbffffff feafffffffffffffbg fffffaefbgffffff feffffffffffffff bc ffffffaabfffffff efffffffffffffff bc fffffffbefffffff de b ffffffbceeffffff e b fffffgbffeefffff de cb fffffbffffeeffff e cb ffffbcfffffeafff aa gb fffgbfffffffeaff e bg fffbfffffffffeaf ed bc ffbcffffffffffea e bc fggffffffffffffea ed b fbffffffffffffffed de b bfffffffffffffff ed e cb ggfffffffffffffff ed de c cbffffffffffffffff ed e b ffffffffffffffff ed aa ed e ed ed ed e e ed e de e e e de e e de aa de e de aa de e deed de ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#f85056ff b,#0605feff c,#8d8cfeff d,#feb2b2ff e,#fe0808ff f,#cacaffff g,#4444feff ``` ```image c fb gb cbb fbbc gbg a cbbf ea fbbc eea gbg deed cbb deed fbbf aeed gbg aeed cbb aeed fbbf aeed bbg aeed gbb aeed fbbf aeed bbc aeed gbg aeed cbbf aeed fbbc aeedgbg aeabbf abbc gbbe cbbaee fbbc eee gbg eee cbb eee fbbc eee gbg eea cbb deea fbbf deea bbg deea gbb deea fbbf deea bbc deea gbg deea cbbf dee bbc de gbg d cbbf fbbc gbg cbbf bbc bg b c ```  Case closed! This is definitely an intersection point in area A. Alright, let's examine the next area. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#fa3f43ff b,#0909feff c,#625af7ff d,#ffc8c9ff e,#fe0505ff f,#bbbbffff g,#ff8282ff ``` ```image ee gea deed aea deed aea deed c aeg bc gee bbc eeg fbbf gea cbbf deed cbbf aea cbb deed bbb aea bbc deed fbbc aeg fbbc gee fbbf eeg cbbf gee cbbf eed cbbf gea bbb deed bbc aea fbbceed fbbcg cbbc eabbf geecbbf eeg cbbf gea bbb deed bbc aea fbbc deed fbbc aeg fbbf dee cbbf eeg cbbf gee cbbf eeg bbb gea bbc deed fbbc aea fbbc deed fbb aea cb deed c aeg gee eeg gea deed aea deed ```  Area B contains an intersection. The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#f95056ff b,#0505ffff c,#7c7cffff d,#ffa8a8ff e,#fe0707ff f,#c3c3ffff g,#3f3fffff ``` ```image d e ed e e de e ae e aa e ed e cb ed bfb de bf cb e cb gb de b bg e bf bc aa gg bf e b bf ed bf b e gg fb ed fb cb de b gb e gg bg de fb bc e b bf aa bc bf e fb b ea b fb e bc cb ed cb gb de b bg e bf bc de cb bf e b bf aa bf b e gg fba b ab bf edgb gg e bg a fb e bc de b de bf de gg e bf de fb ae b ae b e fb ae bc aa cb ae fb e gb ae b ed bg ae bc e bc aab ed bf be de bf bcee e b cb ee de fb b ea e cb bf ea aa gb cb ea e bg b ea ed bc bf ea e bf gg ea ed bf fb ea de b bf ed e fb gg ed de f fb ed e b ed aa ed e ed ea ed e e ed e de e e e de e e de aa de e de aa de e deed de ```

I'm curious to see if this image contains any intersection points. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#ff4646ff b,#3d3dffff c,#ff0505ff d,#9d9dffff e,#ffc8c9ff f,#0909ffff g,#ff8a8aff ``` ```image d ffffd fb dfffd fb dfffd fb dfffd fb dfffd fb dfffd fb bffd fb bffd fb bffd fb bffd bf bffd bf bffd bf bffd bf bffd bf bf bf bf bf bf bf bf bf bf bf bf bf bf df df df df df df df df df b ecc accegc gccg ece ecca ece acce cg gccg ca ecca ca acce cc gccg ac ecca ac acce gc gccg ece ecca ce acce cg g ca ca cc ac gc gc ece ce cg ca ca cc ac gc gc ece ce cg ca ca cc ac gc gc ece c ```

I'm optimistic that I'll find some intersections in this image. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#fe0706ff b,#0505feff c,#ffafafff d,#a6a6ffff e,#4b4cf6ff f,#f45b58ff g,#add4adff ``` ```image c ac a ac ca a ca a ff a ggffgggggggggggg gggagggggggggggg gggafggggggggggg ggggaggggggggggg ggggaggggggggggg gggggagggggggggg gggggagggggggggg gggggfaggggggggg bbbeggggaggggggggg gebbbbefgggggggg ggggggebbbbegggg gggggggffggebbbbed ggggggggagggggggdbbbbed ggggggggafgggggg debbbed gggggggggagggggg debbbed gggggggggagggggg debb ggggggggggaggggg bd ggggggggggaggggg bb ggggggggggfagggg eb gggggggggggagggg dbd gggggggggggffggg be a bb ff eb a dbd ac be a bb ac eb ca dbd a be ca bb a db ff bd a be ff eb a db ac be a bb ac eb ca dbd a be ca bb a eb ff dbd a be ff bb a db ac bd a be a eb ca db a ca a ff a ff a ac a a ca a ca a ff a ac a ac cccccccfffffffaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaafffffffccccccc ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0302feff c,#ff8a8aff d,#9493fdff e,#4943f9ff f,#f83a41ff g,#f3cad6ff ``` ```image gaag fac gaa fac caa aac caf aag caf gaag faf gaag fac gaa fac caa d aac bbbedd caf ebbbbbbbeddg aag gdeebbbbbbbeeff gdeebbbbbbbeedg gddebbbbbbbeedg gaaddebbbbbbbeed fac ddebbbbb gaa dde fac caa aac caf aag caf gaag faf gaag fac gaa fac caa aac caf aag ```  As I suspected, there's an intersection within area A. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0605feff c,#ff8d8dff d,#ababffff e,#524ffcff f,#fd4b4cff g,#ffc8c8ff ``` ```image g ac a ag ga a ca a cf a fc a ac a ag ga a ca bbbe a debbbbef debbbbed fc ebbbbed a dbbbbed ac debbbed a debbbed ag debb ga bd a bb ca eb a dbd ff be a bb fc eb a dbd ac be a bb ag eb ga dbd a be ca bb a db ff bd a be fc eb a dbd ac be a bb ag eb ga dbd a be ca bb a eb ff dbd a be fc bb a db ag bd a be ag eb ga db a ca a ff a fc a ag a ag ga a ca a ff a fc a ag gggggcccccffffffaaaaaaaaaaaaaaa gaaaaaaaaaaaaaaaaffffffcccccggggg ```

Alright, let's get to work and investigate this image for intersections. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fc0b0aff c,#5153f6ff d,#adadfdff e,#f67974ff f,#96c698ff g,#b2d7b1ff ``` ```image ddd dddddccccaaaaaaaaaaaaaaaaaaaaca aaaaaaaaccccddddd cc a da a da ad a ac a cc a da a da ad a ad a cc a da a da ad a ad a cc a ca a da ad a ad a cc a cc a da a da ad a ac a cc a da a da ad eeebbbe a geebbbbbbbbbee ebbbe gffffacffffffffffff eeebbbbbbbbeeg ebbbe fgggggagggggggggggg eebbbbbbbbbee ebbbe fgggggccggggggggggg eee ebbbe fggggggaggggggggggg ebbbe fggggggcagggggggggg ebbbegggggggagggggggggg gbbbbegggfaggggggggg fggebbbbeafgggggggg fggggggebbabfgggggg fgggggggggacbbbbfgg fggggggggggagggebbb fggggggggggccgggggg fgggggggggggagggggg fgggggggggggcaggggg fggggggggggggaggggg fggggggggggggdagggg fgggggggggggggafggg gffffffffffffffafff ad a cc a cc a ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0505ff c,#807cfbff d,#c3c3feff e,#ffa4a4ff f,#fb4e51ff g,#4037f5ff ``` ```image caa aac daa gac daad gag daad cag aad cag aac fe caa bbbbfe gac efbbbbbbfe daad effbbbbbffe gag effbbbbbffedaad efbbbbbbgag efbbbaaffee egaabbbbfee aacfbbbbbbfee caa efbbbbbbfe gac eefbbbb daa eef gac daad gag daad cag aac caa gac daa gac daad ```  I've cracked the case! This area contains the intersection. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0404feff b,#fe0505ff c,#7c7afcff d,#c2c2ffff e,#ffa6a6ff f,#ff5252ff g,#3a3affff ``` ```image dddd dddccccgggaaaaaaaaaaaaaaaaaaaga aaaaaaagggccccddd cg a ca ad da ad a gc a gg a ca a da ad a ac a gg a cg a da ad a ac a gc a cg a da ad da ad a gc a cg a ca ad da ad a gc a gg a ca a da ad effbbbf a eeffbbbbbbbffee ebbbf ac eefbbbbbbbbfee fbbbf a effbbbbbbbffee fbbbf gg fee fbbbe a fbbbe cg efbbbe a efbbbe da efbbfead ebbafe acbbbfe a ebbb gc a cg a da ad da ad a gc a cg a ```

This image seems promising for intersection detection. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#434af0ff b,#e66a61ff c,#8c97eaff d,#fc0a09ff e,#b1d7b1ff f,#0706fcff g,#98c796ff ``` ```image b bd bd dd dd dd f db ffa db f fc db ac f de f f de ac cf d egggggggggggggggggfggggggafggggggggggggggggggg d geeeeeeeeeeeeeeeeaaeeeeeeeafeeeeeeeeeeeeeeeeee ed geeeeeeeeeeeeeeeefeeeeeeeeefaeeeeeeeeeeeeeeeee bd geeeeeeeeeeeeeeeaaeeeeeeeeeefceeeeeeeeeeeeeeee bd geeeeeeeeeeeeeeefeeeeeeeeeeeefeeeeeeeeeeeeeeee bd geeeeeeeeeeeeeeaaeeeeeeeeeeeeefeeeeeeeeeeeeeeebd geeeeeeeeeeeeeefeeeeeeeeeeeeeecfeeeeeeeeeeeeedd dd geeeeeeeeeeeeeaaeeeeeeeeeeeeeeeafeeeeeeeeeeedd bdb geeeeeeeeeeeeefeeeeeeeeeeeeeeeeefaeeeeeeeeedde dd geeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeefaeeeeeeedbee dd geeeeeeeeeeeefeeeeeeeeeeeeeeeeeeeefceeeeedbeee bde geeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeefeeeedbeeee dd geeeeeeeeeeefeeeeeeeeeeeeeeeeeeeeeecfeedbeeeee bdb geeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeecfdgeeeeee dd geeeeeeeeeefeeeeeeeeeeeeeeeeeeeeeeeegffeeeeeee dbgeeeeeeeeecfeeeeeeeeeeeeeeeeeeeeeeegdefaeeeeee bdgeeeeeeeefeeeeeeeeeeeeeeeeeeeeeeebdeeefceeeee gddeeeeeecfeeeeeeeeeeeeeeeeeeeeeebdeeeeefgeeee gebdbeeeefeeeeeeeeeeeeeeeeeeeeeebdeeeeeeefeeee geeeddeecfeeeeeeeeeeeeeeeeeeeeebdeeeeeeeecfeee geeeebdbfeeeeeeeeeeeeeeeeeeeeeddeeeeeeeeeeafee geeeeeebfgeeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeffe geeeeeefgddeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeefa geeeeecfeebdbeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeefc geeeeefeeeeeddeeeeeeeeeeeedbeeeeeeeeeeeeeeeeegf geeeecfeeeeeebdbeeeeeeeeedbeeeeeeeeeeeeeeeeeeeef geeeefgeeeeeeeeddeeeeeeedbeeeeeeeeeeeeeeeeeeee cf geeegfeeeeeeeeeegddeeeedbeeeeeeeeeeeeeeeeeeeee af geeefceeeeeeeeeeeebdbedgeeeeeeeeeeeeeeeeeeeeee fa geeefeeeeeeeeeeeeeeeddgeeeeeeeeeeeeeeeeeeeeeee fc geefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee f geefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee f gefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cf gefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cf gfceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aa gfgggggggggggggggggggggggggggggggggggggggggggg fa fc fc f f fc f f cf fc af f fa ac fc f f ac f f cf aa c f aa f aa f aa f ca f ca f cf f cf f cf f cf f cf f ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#4846fdff b,#fc5b5eff c,#8989feff d,#fe0909ff e,#ffb6b6ff f,#0505feff g,#ccccfeff ``` ```image gff cffc afc cffg gffg affg afc aff gffg ffa afa gffa gffg gffc afa cffc gffg cffg afa affg gffg afa afa gffa gffg gffc afa gffc gffg cffg d afa affg edd gffg aff eddd cfa ffa eddb gffg gffa eddb cfa gffc eddb ffg cffc eddb cfa cffg bddb ffg affg bddb cfa afa bdde ffg gffa bdde cfa gffa bdde ffc gffc bdde cfa cffbdde ffc affde cff dfff ffc edddffa cff eddd gffa b ffc eddb gffc dde cff eddb cffc dddb ffc eddb cffg bddde cff eddb affg edddb ffc bddb aff bddde cff bddb ffa ebddde afc bdde gffa edddb cff bdde gffc bddde afc bdde cffg edddbcff bdde cffg bddffc ddde affg ebffbe ddde afa afaddb ddde gffa gffgbddde eddd gff afc edddb eddd cf gffg bddde eddb c afa edddbe eddb gffg bdddb eddb afa bddde eddb gffg edddb bddb afa bddde bddb gffg edddb bdde afa bddde bdde gffg ebddde bdde afa edddb bdde gffg bddde ddde afa edddbddde gffg bdddde afa ebb gffg cfa ffg cfa ffg cfa ffg cfa ffg cfa ```  Oh my, look at that! It's an intersection in area A! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#3a38fdff b,#fc5456ff c,#7777ffff d,#ff0808ff e,#ffafafff f,#0404feff g,#bebdfeff ``` ```image e bd bd dd dd db f db afa db f fc de ac fg de f f de ac gf de f cf ed ac aa ed f fc ed ac fg bd f f bd ca f bd f gf dd dd ca cf dd edb f aa db dd ca fc db edb f fg db bde ca f de dd f gf de edb ca cfde dd f af edb cf ed fa bde f ed fg dd gf ed fg bde f bd f dd gf bd gf edbf bd cf bfe dd aa fgdd dd fc gf bde db fg f dd db f gf edb db gf fg dd de cf gf edb de af fg bde de fa gf dd fc fg fg f f fg gf f cf fg aa f fc fg fg f f fc gf f gf ac af f fa ac fc f fg ac f f gf ac g f ac f ca f ca f ca f ca f ca f cf f gf f gf f gf f ```

Here's an image. My task is to find intersections or areas where lines come close together. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#ed6c63ff b,#0707fcff c,#b4b4ffff d,#fdb5b4ff e,#fe0706ff f,#add3acff g,#5c62f3ff ``` ```image c a cbbbg de b gbbgc ffffffffffffffef cb cbbbc fffffffffffffeaf b cgbbg ffffffffffffaeff b gbbbc ffffffffffffefff bc cbbbg fffffffffffeafff b gbbbc ffffffffffaeffff gg cbbbgffffffffffefffff b gbbbffffffeffffff gg ffgbbbgfeeffffff b ffffffgbbbffffff cb fffffffefgbbbgff b ffffffeafffffbbb cb fffffaefffffffff bc fffffeffffffffff b ffffeaffffffffff bc fffaefffffffffff b fffeffffffffffff gg ffefffffffffffff b feafffffffffffff gg aeffffffffffffff b e cb ed b ae cb e ea bc ed ea b aa ea bc de ea b e ea gg ea ea b de ea gg e eaffffffffffffbfff ed eaffffffffffgbfff ae eafffffffffbffff e feaffffffffbffff e ffeaffffffbfffff ea fffeafffffbfffff de ffffeafffbgfffff e fffffeaffbffffff ea ffffffefbgffffff ae fffffffebfffffff e fffffffgbfffffff ed fffffffbfeffffff ae ffffffgbffefffff de ffffffbffffeffff e ffffffbfffffefff ea fffffbfffffffeff de fffffbffffffffef e ffffbgfffffffffe ed ffffbfffffffffffe ae fffbgfffffffffffde e b de ed gg de ea b de de cb de e b de ea cb de ae bc de e b ae ed bc aeae b ae gg b gg b cb b cb bc b bc b gg b gg b cb b ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#f9595fff b,#0505feff c,#9292feff d,#f9a3a9ff e,#ff0d0dff f,#f5dde7ff g,#4039f7ff ``` ```image cbg bbc d cbb ed gbc eed cbb aeed gbc aeed fbbf aeed gbg aeed fbbf aeed cbg aeed bbc aeed cbg aeed bbc aeed cbb aeed gbc aeed cbb aeed gbc aeedbbf aegbg abbd cbgef bbaeef cbg aeef bbc eeef cbb feeef gbc feeef cbb feeef gbc feeef fbbf feeef gbg feeef fbbf feeef cbg feeef bbc feeef cbg feee bbc fee cbb fe gbc f cbb gbc ```  Bingo! This close-up reveals an intersection in area A! Hmm, interesting. Let's check out another area. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#f93b41ff b,#0404feff c,#9595ffff d,#ff8b8bff e,#fe0505ff f,#f2d0dcff g,#4c43f5ff ``` ```image aea deef feed eea aea deef feed aea deef feed aea dee feef eed bgc aea bbbbgcf deef fcgbbbbbgc feed cgbbbbbgcf aea fcgbbbbbgaef cgbbbbbgcf agbbbbbbgc aee fcgbbbbbgcf deef cgbbbbbgcc feed fcgbbbb aea cgb deef feed aea deef feef eed aea deef feed aea deef feed aea ```  The close-up clearly shows an intersection point in area B. There's for sure two intersections on the image you sent me.

2

```palette Key,Color ,#fefefeff a,#ff4a4aff b,#0605feff c,#9191ffff d,#ff9595ff e,#ff0404ff f,#ead3e7ff g,#4c4cfeff ``` ```image f d cbbbc fe b fgbbgf ef fb cbbbc ea bf fgbbgf de fb cbbbc e bc fgbbg ed b cbbbc ae gc cbbbc e b gbbgf ef gg cbbbc aa b fgbbgf cb e cbbbc b ed fgbb fb de bf e b ed bc aa b fe gc ef b ea gg de b e cb ed b de f fb e ea bf ef ea b aa ea bc fe ea b e ea gc ed ea b de ed gg e ed b ed ed cb ae ed b fe ed fb ef ed bf aa ed b de ed bc e ed b ed efgc de eb e gbf ef b ef aa cb ef fe b ef ef fb fef ea bf fef de b fe e bc fe ed b fe ae gc fe fe b fe ef cg fe aa b de fe cb de e b de ed fb de de bf de e b de ef bc deaa b de gg b cg b cb b fb bf b bc b gg b cg b cb b ```

I'm analyzing this image to identify any points where lines intersect. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0909feff c,#f78480ff d,#6f71f9ff e,#e9cde2ff f,#f93c39ff g,#aed5aeff ``` ```image d db ebd bb ggggggggggggggg db gggggggggdbgggg ebd gggggggdbbggggg bb ggggggbbggggggg db ggggbbggggggggg ebd ggbbggggggggggg bb bbdgggggggggggg db dbdgggggggggggggg ebd dbd ggggggggggggggg bb dbb ggggggggggagggg db ebb gggggggggfagggg ebd ebb gggggggggaggggg bb bbe ggggggggacggggg db bbe gggggggcagggggg ebd bbd gggggggaggggggg bb dbd ggggggacggggggg dbe dbd gggggcagggggggg ebd dbb gggggaggggggggg bb ebb ggggafggggggggg dbe ebbe gggcagggggggggg ebd bbe gggaggggggggggg bb bbd ggffggggggggggg dbe dbd ggagggggggggggg ebd dbd gaggggggggggggg bbb ffggggggggggggg eagggggggggggggg aggggggggggggggg cfggggggggggggggg a ae ca a ac ca a ac ea a fc ea a ff ea ae ff a ae ca a ac ca a ac ca a ac ea a ff ea ae ff a ae cf a ae ca a ac ca afcc a ecfaaaaafce ac ecfaaaaafce ea ecfaaaaafce a ecfaaaaafce fc ecfaaa ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0c0cffff c,#ff8484ff d,#7171ffff e,#ffc9c9ff f,#ff3a3aff g,#b1b1ffff ``` ```image dg dbbb gbbbbg gbbbbg gbbbbd gdbbbd dbbbd dbbbd dbbbdg dbbbbg gbbbbg gbbbbg bbbd bd e eaf aac caf eaae fac caa eaae faf caa eaac faf caae eaac faf caae aac faf eaae aac caf eaae fac caa eaae faf caa eaac faf caae eaac faf caae aac af ae c ```  There is no intersection present within area A. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0909ffff c,#ff7b7bff d,#7070ffff e,#ffbcbbff f,#ff3a3aff g,#ccccffff ``` ```image d db gbd bb db db gbd gbb bb gbb db bbg gbd bbg bb bbd db dbd gbd dbd bb dbb a db gbb cf gbd gbb a bb bbg ae db bbg ca gbd bbd a bb dbd ac dbg dbd ea gbd gbb a bb gbb ac dbg gbbg ea gbd bbg a bb bbg ff dbg dbd ea gbd dbd a bbb ff a ae cf a ae ca a ae ca a ac ea a fc ea a ff a ae ff a ae ca a ae ca a ac ea a ac ea a ff ea a ff a ae cf a ae ca a ac ea afce a ecfaaaaafce ac efaaaaafce ea ecfaaaaafce a ecfaaaaafce fc ecfaaa ```

I'm ready to tackle this image and find those intersections! I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff4242ff c,#5252ffff d,#ff8686ff e,#ff0303ff f,#aaaaffff g,#ffc4c4ff ``` ```image d beebg deeed gbeeb deeeg gbeed deebg geeed beebg deeed gbeebg deeeebdg dbeeeeebdg gdbeeeeebd gdbeeeeebdg dbeeeeebdg gdbeeeeebd gdbee c cac cac cac cac fac faa faa faa faa faa faa aa aaf aaf aaf aaf aaf aaf caf cac cac cac fcaaac fcaaacf fcaaaaf caaaac faaaacf fcaaacf fcaaacf aaaf ```

This image seems promising for intersection detection. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#494df1ff b,#e0635bff c,#9196f5ff d,#b2d7b1ff e,#fb0b0aff f,#0606fdff g,#98c696ff ``` ```image cf fcf cf f f f f aa fc f f cf ac fc f f aa aa f f cf cf f fc dggggggggggggggggggfggggbegggggggfggggggggggggggggggggggggd gdddddddddddddddddfgdddeedebdddddafdddddddddddddddddddddddg gdddddddddddddddddfdddeedddeedddddfdddddddddddddddddddddddg gddddddddddddddddfcddeedddddbeddddgfddddddddddddddddddddddg gddddddddddddddddfddebdddddddgebdddfadddddddddddddddddddddg gdddddddddddddddaadebddddddddddeedddfdddddddddddddddddddddg gdddddddddddddddfdebddddddddddddeeddafddddddddddddddddddddg gddddddddddddddaaebddddddddddddddbegdfgdddddddddddddddddddg gddddddddddddddfegdddddddddddddddddebdfdddddddddddddddddddg gdddddddddddddafddddddddddddddddddddeefaddddddddddddddddddg gddddddddddddbfddddddddddddddddddddddbefddddddddddddddddddg gdddddddddddbefdddddddddddddddddddddddgbfdddddddddddddddddg gddddddddddbefgdddddddddddddddddddddddddfbddddddddddddddddg gdddddddddbedfdddddddddddddddddddddddddddfedddddddddddddddg gddddddddeedfcdddddddddddddddddddddddddddaaeddddddddddddddg gdddddddeeddfdddddddddddddddddddddddddddddfgebddddddddddddg gddddddeeddaadddddddddddddddddddddddddddddcfdeedddddddddddg gdddddebdddfdddddddddddddddddddddddddddddddfcdeeddddddddddg gddddebdddaaddddddddddddddddddddddddddddddddfddbegddddddddg gdddebddddfdddddddddddddddddddddddddddddddddaadddebdddddddg gddegddddcfddddddddddddddddddddddddddddddddddfddddeeddddddg ggegdddddfdddddddddddddddddddddddddddddddddddcfddddbedddddg geddddddgfddddddddddddddddddddddddddddddddddddfcddddgebdddg dedddddddfgdddddddddddddddddddddddddddddddddddddfddddddeeddg begdddddddfddddddddddddddddddddddddddddddddddddddafddddddeedg be gddddddfcdddddddddddddddddddddddddddddddddddddddfdddddddbeg be dggggggfgggggggggggggggggggggggggggggggggggggggggfggggggggeb ee ac fc ee ee f f be eb aa cf ed eb f f eb eb cf f ee ed f fa be ed f f eb f cf e f fc fc f f aa ac f f cf ca fc f f cf aa f f f cf f fc f f fc af f f aa f f fc ca f f cf cf f f f f aa fc f f cf fc f f aa f ca f cf f ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#5f5afaff b,#f4343eff c,#fb7a7dff d,#fec4c4ff e,#fe0505ff f,#0806fdff g,#b5b4fdff ``` ```image gff beebd ffa afa beeeeed gffg gffg beed beec aff afa beed ceeb ffg ffg deeed deeed gff afa eebd dbeec afa ffg deb ceeb gff gff deb ceebd af ffg dee deeed fa gff ceec beec gf afa ceec ceeb fa gff ceec deeed ffg gffgbeed beec ffa afabeed ceebd gffg ffbeed deee afa affeed bec ffg ffbed ceb aff affb eeedffa dffb dbeecffg dbff beeafa ceffa ceeffg cebff debff ceeafa dbffa ceecffg cffb beecafa affbd beed ffg ffbed beed afa gffeec beed ffg afaeeb dbeed gff gffgeeed deebd ffg affdbeec deeb gff ffa ceeb eeb afa gff ceebd deb gff afa deeed ceb afa gffg beec cee ffg aff ceeb ceec afa ffa deeed ceec ffg gffg dbeec beed ffg ffg cebd beed gff aff deed beed ffg ffa beec deeed gff gffg ceeb deebd afa afa deeed deeb gff ffg dbeec deeb afa gff beec eeb ffg ffa ceebd ec afa gffg deeed c ffg aff dbeec aff ffg ceeb ffg gff cee ```  My analysis confirms the presence of an intersection in area A. I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#3f3efdff b,#f95055ff c,#8180feff d,#ffadadff e,#fe0809ff f,#0505feff g,#c4c4ffff ``` ```image g cf fcf gf fg fg f f aa fg f f cf ac fg f f ca aa f f ca gf f fc gf bed f fg be eb aa f ee ee f fg eb be gf f eb ded fc ac eb eb f f ed ee cf caed de fg fed ebgf cf eeac df bef def dbf befg fb be f fe ee fg aae ee f f ed eb ac gf ee eb f fg be eb ca f ded ed f aa eb ed cf f ee ed f gf be de gf fc ded de fg f eb de f ca be be fg f ded be f gf eb ee ac fc ee ee f f be eb ca cf ded eb f fg eb ed cf gf ee ed f ac de ed gf f eb fg cf e f fg fc f f aa ac f f gf ca fg f f cf aa f f gf gf fg fc f f fc ca f fg ac gf f fc ca f f cf gf fg f f gf ac fg f f cf fc f f ac f ca f gf f ```

Let's examine this image for potential line intersections. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A.  ```palette Key,Color ,#fefefeff a,#0808feff b,#fc0709ff c,#5d60f8ff d,#febdbdff e,#bbbbfeff f,#f55f5aff g,#aed4adff ``` ```image e aa cacc ea a a ea ae ae ac ea ca ae ea a a ac ae a ac cc ca a ea ea a a ae ea ac ae ca a ea ac a a ae cc ac a ca ca ea a a ea ae d ggggggaggggggggggggggggg ac bbbf gggggggagggggggggggggggg ca fb fbf gggggggacggggggggggggggg ea fb fbbggggggggaggggggggggggggg a db dbbfgggggacgggggggggggggg ae b ggbbfggggagggggggggggggg ac bd ggggfbbggcaggggggggggggg ca bd ggggggfbbgaggggggggggggg ea bf gggggggggbbagggggggggggg a fb gggggggggggabbgggggggggg ae fb ggggggggggggafbbgggggggg ac db ggggggggggggacggbbfggggg ca b gggggggggggggaggggbbfggg ea bd gggggggggggggacgggggfbbg a bd ggggggggggggggagggggggfbbd ae bf ggggggggggggggcaggggggggdbbf ac fb gggggggggggggggagggggggg fbf ca fb gggggggggggggggcaggggggg fbbd ea db ae dbbd a b ea bbf ae bd ae f bd a bf ac bb a fb cc db a db ea b a bd ea bf ae bf a fb ac db a db cc b a bd ca bf a bf ea fb ae db a db ae b a bd cc a ca a ea ae ea ae a ac a cc a ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#0706fdff b,#fe0506ff c,#4d45f6ff d,#fc8a8cff e,#9796fdff f,#fa4145ff g,#efd1e1ff ``` ```image gaag cac gaae eaa aae eaa dg aae bbfg eaag fbbbfd cac gdbbbbdg gaag dbbbbfg cac dfbbbfd gaae gfbbbbd eac gdbbbbdg aae dfbbbfgeaa gfbbbfaae gdbbfaag dbaacfg daabbfd cacbbbbd gaaedbbbbdg cac dfbbbfg aae gfbbbfd eaa gdbbbbdg aae dbbbbfg eaa dfbbbfd cac gfbbbb eaag gdbb cac d gaag cac aae eaa aae ```  I've cracked the case! This area contains the intersection. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0808feff b,#fe0607ff c,#5d5dffff d,#ff8e8eff e,#b9b9ffff f,#fb474aff g,#ffccccff ``` ```image e aa cacc ea a a ea ae a ac ea ca ae ea a a ac ae a ac cc ca a ea ea a a ae ea ac ae ca a ea ac a a ae cc ac a ca ca ea a a ea ae g ae ac bbbd a ca fb fbf ae ea db dbbg a a gb gbbd cc ae b bbf a ac bg fbb ca ca bd dbbga ea bf gbfa a fb abf ae db eadbbg ac gb ae gbbd ca b a bbf ea bg ac fbb a bd a dbbg ae bf cc gbbd ac fb a fbf ca db ea dbbg ea gb a gbbd a gb ea bbf ae bg ae f bd a bf ac ff a fb cc db a gb ea bg a bg ea bd ae bf a fb ac db a gb cc b a bg ca bd a bf ea fb ae db a gb ae b a bg cc a ca a ea ae ea ae a ac a cc a ```

I have an image in front of me. I need to determine if there are any intersection segments. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0a0aff c,#7c7cffff d,#ff6d6dff e,#3a3affff f,#ffc5c5ff g,#bfbfffff ``` ```image f fbbbbbbdf bb fdbbbbbdf dbd fdbbbbbdf bb fdbbbbbdf dbf fdbbbbbdf fbd fdbbbbbdf bb fdbbbbbdf dbd fdbb bb dbf fbd bb dbd bb dbf fbb bb dbd bb dbf fbb bbf bd aa gae cac eac aag gaa gae cac eac aag aa gae cae eac aag aa gae cae eac aag aa gae cac eag aag gaa cae eac aag aa gae cac eag aa gaa cae eac aag aa gae cac eag aa gaa ca ```

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,#fe0404ff b,#4547fbff c,#fc3938ff d,#0505feff e,#f28a84ff f,#9b9df9ff g,#add5adff ``` ```image f bd fd df db dd bd fdf df db bd fd df db dd bd fd df db bd fd fdf e db eaae dd aac bd eaae fd cac df eaae gggggggdbggggggg cac ggggggggddgggggg eaae gggggggggbdggggg cac ggggggggggfdddfg eaae gggggggggggggfbdddf caaggggggggggggggg bdddb eaaegggggggggggg fdddbf gggcaagggggggggg fddddf gggggeaacggggggg fbdddf ggggggggcaaggggg bdddb ggggggggggeaeggg fdddbf ggggggggggggaegg fdddbf gggggggggggggaeg fbdddf ggggggggggggggae fbdd gggggggggggggggae ggggggggggggggggae gggggggggggggggg ae gggggggggggggggg ae gggggggggggggggg ac gggggggggggggggg ac ac ac ac ac ac ac cc ca ca ca ca ca ca ca ea ea ea ea ea ea ea ea ea ea a a a a a a a a a ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#6262ffff c,#ff4848ff d,#0808ffff e,#ffaaaaff f,#b6b6ffff g,#ff7373ff ``` ```image bddb bddb fdddf fdddf bddb bddb fdddbf fddddddbff fbdddddd fbbd e aag aaaace ecaaaag gaaaace ecaaaag gaaaace ecaaaag gaaaace ecaaaag gaaaae ecaae caae caae gaae gaae gaae gaa ga g ```  My analysis shows that the lines in area A do not cross. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#4949ffff c,#ff3f3fff d,#0505ffff e,#ff9292ff f,#9999ffff g,#ecd9ebff ``` ```image f bd fdg gdf db dd bd fdg df db bd fdg gdf db dd bd fdg gdf db bd fd gdf c db eaae dd gaac bd eaae fdg gcac gdf eaae db cac dd eaae bd cacg gdddf eaae fbdddf caag gbdddbg eaae fdddbf caag fddddf eaae fbdddf caag gbdddbg eae gfdddbg ae fdddbf ae fbdddf ae gbdd ae ae ae ac ac ac ac ac ac ac ac ac aa ca ca ca ca ca ca ca ca ea ea ea ea ea ea ea ea ga ga ga gag gag gag gag gag ag a ```

Time to put on my detective hat and find those intersection points! Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fc4847ff b,#0606feff c,#a6a8faff d,#fe0606ff e,#f69e9aff f,#5557faff g,#afd6afff ``` ```image dd ad ed da d ad d dd aa ede d dd ed ede de dd d ede aa dd d eda ed ad de da d ad aa da d ade ed dd de ede d dd aa ede d dd ed ede de dd d da aa d ed de d aa d ed de d aa d ed de d ad d d de d ed d d de d ed d d aa d ed de d aa d ed gdegggggggggg ggdgggggggggg bbbffcc ggaaggggggggg ccfffbbbbbbbbbbbffcc gggdggggggggg ccfffbbbbbbbbbbfffcc gggedgggggggg ccffbbbc ggggdeggggggg cbbbf gggggdggggggg fbbf gggggaagggggg fbbfc ggggggdgggggg cbbbc ggggggedggggg cbbbc gggggggdegggg fbbf ggggggggdgggg fbbf ggggggggegggg cbbbc ggggggggggggg cbbbc ggggggggggggg fbbfgggggggggggg fbbfggggggggg gggfbbbcggggg ggggggcbbgggg ggggggggggggg ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#ff3c3cff b,#0909ffff c,#adadffff d,#ff0606ff e,#ff7979ff f,#6060ffff g,#ffbdbdff ``` ```image gddg eda dde gdd ada gddg eda dde gdd ada gddg edd dde gddg ada gddg edd dde gddg ada gddg edd ade gda g bfc bbbbfc cfbbbbbfc cfbbbbbbfc cfbbbbbfc cfbbbbbfc cfbbbb cfc ```  Area A doesn't meet the criteria for an intersection. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff4949ff b,#0606ffff c,#a9a9ffff d,#ff0606ff e,#ff8f8fff f,#5858ffff g,#ffc9c9ff ``` ```image g gdd adged da dg adg gd dd aa edg d dd ed ede dg dd d gde aa dd d gda ed ad dg gda d adg aa da d adg ed dd dg edg d dd aa ede d dd gd gde de dd d da aa d gd de d aa d gd de d aa d gd de d ed dg gd de d ed dg gd de d ed dg gd aa d ed dg d aa d ed dg d bbbffcc aa ccfffbbbbbbbbbbbffcc d ccfffbbbbbbbbbbfffcc ed ccffbbbc dg cbbbf d fbbf aa fbbfc d cbbbc gd cbbbc de fbbf d fbbf e cbbbc cbbbc fbbf fbbf cbbbc cbb ```

I'm optimistic that I'll find some intersections in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#0606fdff b,#fa0a0aff c,#8b95eaff d,#e46658ff e,#4851ecff f,#b1d7b1ff g,#9cc497ff ``` ```image c aaa eaac caae aaa eaac caae b bb gfffffffffffffffffffffffffffffffffffffgaaagffffffffffffbbg db gfffffffffffffffffffffffffffffffffffeaacfffffffffffffdbdff bd gffffffffffffffffffffffffffffffffeaaefffffffffffffffbbffff bb gfffffffffffffffffffffffffffffcaaeffffffffffffffffbbgfffff dbf gfffffffffffffffffffffffffffeaacffffffffffffffffdbdfffffff bb gffffffffffffffffffffffffeaaeffffffffffffffffffbbfffffffff db gfffffffffffffffffffffcaaefffffffffffffffffffbbgffffffffff bd gfffffffffffffffffffaaagfffffffffffffffffffdbdffffffffffff bb gffffffffffffffffeaacfffffffffffffffffffffbbffffffffffffff fbd gfffffffffffffcaaeffffffffffffffffffffffbbgfffffffffffffff bb gffffffffffffeagffffffffffffffffffffffdbdfffffffffffffffff db gffffffffffffaffffffffffffffffffffffgbbfffffffffffffffffff bd gfffffffffffeefffffffffffffffffffffbbgffffffffffffffffffff bb gfffffffffffaffffffffffffffffffffdbdffffffffffffffffffffff fbdgffffffffffacffffffffffffffffffgbbffffffffffffffffffffffff bbfffffffffgaffffffffffffffffffbbgfffffffffffffffffffffffff dbgfffffffafffffffffffffffffdbdfffffffffffffffffffffffffff gfbbfffffeafffffffffffffffgbbfffffffffffffffffffffffffffff gffdbffffafffffffffffffffbbgffffffffffffffffffffffffffffff gfffgbdfeefffffffffffffdbdffffffffffffffffffffffffffffffff gfffffbbaffffffffffffgbbffffffffffffffffffffffffffffffffff gffffffabdffffffffffbbgfffffffffffffffffffffffffffffffffff gfffffgafbbfffffffdbdfffffffffffffffffffffffffffffffffffff gfffffafffdbgfffgbbfffffffffffffffffffffffffffffffffffffff gffffeaffffgbdfbbgffffffffffffffffffffffffffffffffffffffff gffffafffffffbbdffffffffffffffffffffffffffffffffffffffffff gfffeeffffffffffffffffffffffffffffffffffffffffffffffffffff gfffafffffffffffffffffffffffffffffffffffffffffffffffffffff gffacfffffffffffffffffffffffffffffffffffffffffffffffffffff gfgaffffffffffffffffffffffffffffffffffffffffffffffffffffff gfafffffffffffffffffffffffffffffffffffffffffffffffffffffff geafffffffffffffffffffffffffffffffffffffffffffffffffffffff gaffffffffffffffffffffffffffffffffffffffffffffffffffffffff eeffffffffffffffffffffffffffffffffffffffffffffffffffffffff afffffffffffffffffffffffffffffffffffffffffffffffffffffffff acggggggggggggggggggggggggggggggggggggggggggggggggggggggggg a a ca a ee a ac a a ca a ee a ac a a ca a ee a ac a a ca a ee a ac a a ca a ee a ac a a ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0606ff c,#9696ffff d,#ff9494ff e,#4b4bfeff f,#ebd5e9ff g,#fb4649ff ``` ```image ceaaaef g ceaaaac dbb feaaaaec fgbbg fceaaaacf gbbbd ceaaaaec dbbbgf feaaaaec fgbbgf fcaaaaacf gbbbd ceaaaaec dbbbgf feaaaaec fgbbgf fcaaaaacf gbbbd ceaaaaef dbbbgf ceaaaaec fgbbgf fcaaaaecf fgbbbd ceaaaaef dbbbgf ceaaaaec fgbbgf feaaaaecf fgbbbd fceaaaacf dbbbgf ceaaaaec fbbgf feaaaaec fgbbd fcaaaaacf dbbb eaaaaec fgbbgf eaaec fgbbbd cacf dbbbg faa fgbbgf eae fgbbbd faaf dbbbg eae dbbbgf caaf fgbbbd aac dbbbd caa dbbbgf faac fgbbbd f eae dbbbd bd faaf dbbbgf bbg eae fgbbbd dbbbf caaf dbbbd gbbgf caa fgbbbd dbbbd faac dbbbd fgbbgf eae dbbbgf dbbbd faaf fgbbbd fgbbg eae dbbbd dbbgfcaaf dbbbgf dbbbaac fgbbbd ggaaf dbbbd faagbd dbbbgf eaegbbg fgbbbd faaf dbbbf dbbbd eae fbbbd dbbbgf caaf gbbgf fgbbbd aac dbbbd dbbbd caa fgbbg dbbbgf faac dbbbbbbd eae fbbbd faaf df eae caaf aac caa faac eae faaf eae caaf aac caa faac eae faaf eae aaf ac ```  Bingo! This close-up reveals an intersection in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#0505feff b,#fd0b0dff c,#9595ffff d,#ff7171ff e,#4c4cffff f,#ffcfcfff g,#d7d7ffff ``` ```image c geaa eaac caae gaaag eaac caae b bb gaaeg bbf db eaac dbd fbd caac bb bb gaae bbf dbf eaag dbd bb caac bb dbf caae bbf fbd geaag dbd bb eaac fbb fbd caae bbf bb cag dbd dbf a fbb bd ee bbf bb a dbd fbd ac fbb bb ga bbf dbf ag dbd bb ca fbb db a bbf fbd ee dbd bba fbb abf bbf ga bb dbd ag dbf fbb ca fbd bbf a bbd ee a ac ga ag ca a ee a ac ga ag ca a ee a ac ga ag ca a ee a ac ga ag ca a ee a ac ga ag ca a ee a ac ga ag ca a ee a ac ga ag ```

Let's examine this image for potential line intersections. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#f2443dff b,#0606feff c,#a5a9f7ff d,#fd0504ff e,#afd6b0ff f,#ffa2a2ff g,#4b4df4ff ``` ```image dddf fddf df dda df fddf df ada d fddf d add d fddf d add d fdda d addf d dda fd fddf fd dda fd eeeeeeeeeeeeeeeee b ddf fd eeeeeeeeeeeeeeeee bg fd eeeeeeeeeeeeeeeee gb fd eeeeeeeeeeeeeeeee cb fd eeeeeeeeeeeeeeeee cb fd eeeeeeeeeeeeeeeee b fd eeeeeeeeeeeeeeeeeb fdeeeeeeeeeeeeeeeebc adeeeeeeeeeeeeeebg adeeeeeeeeeeeebge eadeeeeeeeeeegbee eeadeeeeeeeegbeee eeeadeeeeeecbeeee eeeeadeeeeebeeeee eeeeeadeeebeeeeee eeeeeeadebceeeeee eeeeeeedbgeeeeeee eeeeeeebgdeeeeeee eeeeeegbedaeeeeee eeeeegbeeedaeeeee eeeecbeeeeedaeeee eeeebeeeeeeedaeee eeebeeeeeeeeedaee eebceeeeeeeeeedae ebgeeeeeeeeeeeeda bgeeeeeeeeeeeeeeda gbeeeeeeeeeeeeeeeedf gbeeeeeeeeeeeeeeeee df cb eeeeeeeeeeeeeeeee df b eeeeeeeeeeeeeeeee df b eeeeeeeeeeeeeeeee df bc eeeeeeeeeeeeeeeee d bc eeeeeeeeeeeeeeeee bg eeeeeeeeeeeeeeeee gb gb cb cb b bc bc bg gg gb cb cb b bc bc bg gbg cbbc cbbc gbg bbg cbbc gbb bbg cbbc gbb bbg cbbc gbb bbg cbbc bb ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#fc4043ff b,#0403feff c,#c4c3feff d,#fe0606ff e,#7a79feff f,#febfc0ff g,#3732f9ff ``` ```image e f eb df ebb ddf cbbe addf cbbe addf cbbg addf gbg addf gbb addf ebbc addf ebbc addf ebbc addf cbbe addf cbbe addf cbbg addf gbg addf gbg addf gbbc addf ebbc addebbc aabbe cbbg cbbgda gbgfdda gbg fdda gbbc fdda ebbc fdda ebbc fdda cbbe fdda cbbe fdda cbbg fdda gbg fdda gbg fdda gbbc fdda ebbc fdda ebbc fdda cbbe fdda cbbe fdd cbbg fd gbg f bg bc c ```  I am surprised, so clear, an intersection has appeared in area A. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#ff4a4aff b,#0808feff c,#a1a1ffff d,#ff0505ff e,#eed9e9ff f,#ff9999ff g,#5353ffff ``` ```image e edddf fddf df edda de fddf de ada de fddf de adde ede fddf ede adde ede edda ed adde ed edda ed fddf ed edda fd b ddf fd bg fd gb fd cb fd cb fd eb fd be fd bc ad bc ad bg ad gb ad gb ad cb ad eb ad be ad bc dbc bbd gb da gb da cb da eb da be da bc da bc da bg da gb df gb df cb df eb df be df be d bc bg gb gb cb eb b be bc bg bb gb cb eb b be bc bg gbg ebbc cbbc gbb ebbg cbbc gbb ebbg cbbc gbb ebbg cbbc gbbe bbg cbbc bbe ```

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,#f1a19bff b,#0b0cfdff c,#fd0606ff d,#b1d7b1ff e,#7179f0ff f,#97c49aff g,#f1524cff ``` ```image fddddddddddddddddddddddddddddddddd fddddddddddddddddddddddddddddddddd fddddddddddddddddddddddddddddddddd fddddddddddfdddddddddddddddddddddd fddddddddfbbdddddddddddddddddddddd fdddddddebgcbcfddddddddddddddddddd fddddddbbdcdebccgddddddddddddddddd fddddebedgcddbedgccddddddddddddddd fdddbbdddcddddbfddaccgdddddddddddd fdfbedddacdddddbdddddccgdddddddddd fbbdddddcddddddebddddddgccaddddddd bbdddddfcdddddddbbdddddddfccgddddd ebfddddddcaddddddddbedddddddddgccfdd bb fddddddcddddddddddbdddddddddddaccg ebe fdddddcgddddddddddfbdddddddddddddgcc bb fdddddcddddddddddddebddddddddddddd acca be fddddggdddddddddddddbedddddddddddd gcg eb fddddcdddddddddddddddbfddddddddddd acca bb fdddggddddddddddddddddbddddddddddd ccg ebd fdddcdddddddddddddddddebdddddddddd gcca bb fddacddddddddddddddddddbbddddddddd accg dbe fddcddddddddddddddddddddbedddddddd gcc bb fdacdddddddddddddddddddddbdddddddd acc be fdcfdddddddddddddddddddddfbddddddd eb fdcdddddddddddddddddddddddebdddddd bb fcaddddddddddddddddddddddddbeddddd ebe fcddddddddddddddddddddddddddbfdddd bb cgdddddddddddddddddddddddddddbdddd be cffffffffffffffffffffffffffffebfff b gg bb c be ag b c b ac eb c be c b ca b c eb ca bb c be gg b c b gg eb c be ac b c b ac eb c bb c be ca b c b ga eb c be gg b c b ag eb c bb ac be c b c b ca e c ca c gg c gg c ac c ac c c ca c ga c gg c ag c ac c ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#fe9494ff b,#0505feff c,#ff0505ff d,#908ffeff e,#433ffbff f,#e6d3ecff g,#f84349ff ``` ```image ff dbbf febbbbf dbbbgbbea ebbegcgbbecaf fbbbdfccfdbbgccga dbbbf acg dbbgccccaf febbe cca ebefaccccga dbbbd acg fbbe agcccca febbef cca fbbd faccccgf dbbbd acc dbbf agcccga ebbef gca ebbf fgccccgf febbd acc ebe accccga dbbbf gca fbbd agccccaf febbe fccf dbbd faccccga dbbbd gcg dbbf agccccaf bbef fccf ebe faccccgf bd gcg fbbe agcccga f ccf fbbd fgccccgf acg dbbf agcccga cca ebbf fgcccc acc ebe acc cca fbbd a acc dbbd gca dbbf fcc ebe gcg fbbe fccf fbbd gcg dbbf fccf ebbf acg ebe cca fbbd acg dbbd cca dbbf acc ebe gca fbbe acc fbbd gca dbbf fccf ebb gcg ebe fccf fbbd gcg dbbd ccf dbbf acg ebe cca fbbe acc fbbd cca dbbf acc ebb gca bbe cc fbbd ```  Case closed! This is definitely an intersection point in area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#fd8082ff b,#0505feff c,#ff0505ff d,#b2b2ffff e,#4e4effff f,#ffc2c2ff g,#fd4042ff ``` ```image bb ebagbcf bb c ebcca dbd ag be gcc bb c bd acca dbe fc b gcg eb c db accf be fc ee fccg ebd cf bd accf bb c b fcca dbd ca db gcc bb c eb fcca dbe ga be gcg eb c bd accf be ag b ccg dbd c db accf bb ac ee fcca dbd c bd gccf eb fc b fcc be cf db ebd c eb bb cf be dbd c bd bb ga b dbe c db b gg ee c bd ag b c db fc eb c be fc bd cf b c db ca ee c bd ga b c db ag eb c be ac bd c b fc db cf ee c bd cf b c db ga eb c be gg bd c b ag db c ee fc bd c b fc db cf d c ca c ga c ag c ac c fc cf c cf c ga c gg c ag c fc c ```

I'm analyzing this image to identify any points where lines intersect. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#fc0908ff b,#5057f0ff c,#0809fdff d,#909be9ff e,#e96c61ff f,#b0d6b0ff g,#eff2efff ``` ```image d cb c dc cd c dc cg gc bb aeffffcfffffffffffffffffffffffffffg gaffffdcffffffffffffffffffffffffffg gaeffffcbfffffffffffffffffffffffffg gfafffffcfffffffffffffffffffffffffg gfeaffffdcffffffffffffffffffffffffg gffafffffcdfffffffffffffffffffffffg gfffafffffcfffffffffffffffffffffffg gfffaeffffbcffffffffffffffffffffffg gffffafffffcffffffffffffffffffffffg gffffeafffffcfffffffffffffffffffffg gfffffafffffcbffffffffffffffffffffg gffffffafffffcffffffffffffffffffffg gffffffaeffffdcfffffffffffffffffffg gfffffffafffffcbffffffffffffffffffg gfffffffeafffffcffffffffffffffffffg gffffffffafffffbcfffffffffffffffffg gfffffffffafffffcdffffffffffffffffg gfffffffffaefffffcffffffffffffffffg gffffffffffafffffbcfffffffffffffffg gffffffffffeafffffcfffffffffffffffg gfffffffffffafffffdcffffffffffffffg gffffffffffffafffffcbfffffffffffffg gffffffffffffaefffffcfffffffffffffg gfffffffffffffafffffdcffffffffffffg gfffffffffffffeafffffcdfffffffffffg gffffffffffffffaffffffcfffffffffffg gfffffffffffffffafffffbcffffffffffg gfffffffffffffffaefffffcdfffffffffg gffffffffffffffffaffffffcfffffffffg gffffffffffffffffeafffffcbffffffffg gfffffffffffffffffaffffffcffffffffg gffffffffffffffffffafffffdcfffffffg gffffffffffffffffffaefffffcbffffffg gfffffffffffffffffffaffffffcffffffg gfffffffffffffffffffeafffffbcfffffg gffffffffffffffffffffaffffffcdffffg gfffffffffffffffffffffaffffffcffffg gfffffffffffffffffffffaefffffbcfffg gffffffffffffffffffffffaffffffcfffg gffffffffffffffffffffffeaffffffcffg gfffffffffffffffffffffffaffffffcbfg gffffffffffffffffffffffffaffffffcfg gffffffffffffffffffffffffaefffffdcg gfffffffffffffffffffffffffaffffffcd gfffffffffffffffffffffffffeaffffffc gdddbbccc gffffffffffffffffffffffffffaffffffbc ggddbbbccccccccccccbbddgg gfffffffffffffffffffffffffffafffffgcg ggddbbccccccccccccbbbddgg gfffffffffffffffffffffffffffaeffffggccccbbdddg gffffffffffffffffffffffffffffaffffg gffffffffffffffffffffffffffffeafffg gfffffffffffffffffffffffffffffafffg gffffffffffffffffffffffffffffffaffg gffffffffffffffffffffffffffffffaefg gfffffffffffffffffffffffffffffffafg gfffffffffffffffffffffffffffffffeag gffffffffffffffffffffffffffffffffag ggggggggggggggggggggggggggggggggga ae a eaeg geaaaeg eaaaae geaaaeg geaaaae feaaaeg geaaaaf faaaaeg geaaaef eaaaaeg geaa ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#ff3f3fff b,#5959ffff c,#0808ffff d,#b0b0ffff e,#ff8787ff f,#ff0404ff g,#ffcdcdff ``` ```image ffg dcc afa ccb ffe dccd eff bcc afa ccb gffg dccd afa bcb ffe ccd eff dcc afa bcb gffg dccd afa bcc ffe ccb eff dccd afe bcc gffg ccb afa dccd ffe bcb eff ccd afe dcc gffg bcb afa dccd ffe bcc eff ccb afe dccd gffg bcb afa ccd ffe dcc eff bcb afe ccd gffg bcc afa ccb ffe dccd eff bcc afe ccb gffg dccd afa bcb ffe ccd eff dcc afe bcb gffg dccd afa bcc gffe ccb eff dccd afe bcc gffg ccd afa dcc gffe bcb eff ccd afe dcc gffg ccb afa dccd gffe bcc eff ccb afe dccd gffg bcb afa ccd gffe dcc eff bcb afe dccd gffg bcc afa ccb gffe dccd eff bcc afe ccb gffg dcc afa bcb gffe ccd eff dcc afe bcb gffg dccd afa bcc gffe ccb eff dccd afe bcb gffg ccd afa dcc gffe bcb eff ccd afe bcc gffg ccb afa dccd gffe bcc eff ccb afe dcc gffg bc afa c gffe d eff afe gffg afa gffe eff afe gffg afa gffe eff afe gffg afa gffe eff afe gffg afa gffe eff af ```  It's a shame, but area A doesn't contain an intersection. I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#ff2f2fff b,#5757ffff c,#0707ffff d,#a8a8ffff e,#ff7c7cff f,#ff0303ff g,#f6d5deff ``` ```image d cb c dc cd c bc cd c bb fg c gf dc ae cb f c ef dc fg cd gf c ae bc f cg ef gc fg bb gf c ae dc f cd ef c fg dc gf cd ae c f bb ef c fg gc gf cb ae c f dc ef cd fg c gf bc ae cg f c ef bb fg c gf dc ae cd f c ef dc fg cd gf c ae bb f cg ef gc fg cb gf c ae dc f cd ef c gddbbbccc fg bc gddbbbccccccccccccbbddd gf cd dddbbccccccccccccbbbddg ae ccccbbbddg f ef fg gf ae f ef fg gf ae f efe gefffag efffae gafffeg efffae gafffeg gefffae eafffeg gefffag eafffe geff ```

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,#fe0b0bff c,#b1b1feff d,#f5938fff e,#9dc397ff f,#595ff0ff g,#b0d7b0ff ``` ```image d bd b bd b bd b bd b bd b bd b c bd aac b ca a bd a ca b ac fa bd fa ac b a a bd a ca b af fa bd ca af b a ac bd ac a b fa ca bd ca af eebggggggggggggac ac egbeggggggggggaf a egebgggggggggfag ca eggbeggggggggagg fa eggebgggggggafgg af egggbegggggfaggg ac egggebgggggagggg a eggggbegggaegggg ca eggggebggafggggg af egggggbefagggggg ac egggggebaggggggg a eggggggafggggggg ca egggggfabggggggg fa egggggagbggggggg af eggggaegdbgggggg a egggafgggbgggggg a eggfaggggdbggggg ca eggaggggggbggggg af egafggggggdbgggg ac efaggggggggbgggg a eagggggggggdbggg ca aeggggggggggbggg fa afgggggggggggdbgg af cageeeeeeeeeeeebee a a db a ac b fa fa db af a b ac ac db a af b ca ca db fa a b ac ac db a fa b a a db fa ac b af af db ac c b a db ca b fa db ac b eeeeeeeeaeeeee db ggggggggeagggg b gggggggggfgggg db gggggggggggggg b gggggggggggggg dbd gggggggggggggg dbbbbbbd gggggggggggggg ddbbbbbdd gggggggggggggg dbbbbbbd gggggggggggggg ddbbbbbbd gggggggggggggg dbbbbbbddggggggggggggg ddbbbbbbdegggggg gggggdbbbbgggg gggggggggggggg gggggggggggggg gggggggggggggg ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0707feff b,#fe0303ff c,#9291feff d,#fdc7c9ff e,#fc5658ff f,#4a46fbff g,#d1d1ffff ``` ```image dbbd ebe dbbd c ebe ga dbbd aa ebe faa dbbd caag ebe gaac dbbd faf ebe caag dbbd gaac ebe aaf dbbd faa ebe caag dbbd gaac ebe faf dbbd caag ebe gaac dbbd aaf ebe faa dbbd caag ebegaac dbbfaf eeaag daac aafe faabbd caagebe gaac dbb faf ebe caag dbb gaac ebe aaf dbb faa ebe caag dbb gaac ebe faf dbb caag ebe gaac dbb aaf ebe faa dbb caag ebe gaac dbb faf bbe caag dbb aac bbe af dbb a bbe ```  There's no doubt about it - this is an intersection in area A. Alright, let's concentrate on the next area. Let's take a closer look at area B.  ```palette Key,Color ,#fefefeff a,#0606ffff b,#ff0303ff c,#9898ffff d,#ffc3c3ff e,#ff8787ff f,#3c3cffff g,#ff4343ff ``` ```image faa faf aac caf c edd bbbbggeed ggbbbbbbbbbggedd ddeegbbbbbbbbbbgee ddeggbbbbbg deee ```  Unfortunately, there's no intersection inside area B. There's only one, but is an intersection after all.

1

```palette Key,Color ,#fefefeff a,#0908feff b,#fe0909ff c,#a4a3feff d,#ffaeaeff e,#ff6c6cff f,#5555ffff g,#eaddf2ff ``` ```image d bd b bd b bd b bd b bd b bd b c bd aag b ca a bd a ca gb ac ff bd fa ac gb ga ag bd ag ga gb af fa bd ca af gb a ag bd ac ga gb fa ca bd ga ff gb ag ac bd af a gb ca ga bg a fa gb ac af bg fa ag db ga ga bg ag ca db af af bgca ac dba a ac ca fab fa ga bg af ag db ag af bg ga ca db ca a bg af ac db ac fa b a ga db ca ag b fa af db ac ca b ag a db ga ac b ca fa db af ga b ac ag db a af b ca ca db fa a b ac ac db ag fa b ga ga eb fa ag b af af eb ac c b a eb ca b fa eb ac b ag eb ga b c eb b ebd ebbbbbedg gdebbbbbed debbbbbbed debbbbbedg gdebbbbbed debbbbbbeg debbb ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#f46863ff b,#0808fdff c,#b0d6b1ff d,#656af4ff e,#ffb7b7ff f,#fd0a09ff g,#9ac496ff ``` ```image e af fef ef fa f fe ef f fe af f fe fe f b f ef db fe fa b f f b fa f bd f af db aa fe b f f bc aa ef db f fa cb ef f b f ef bd ef af db f fe b ef f b fe af bd f fa db fe f b f gfgggggggggggbgc fe cffcccccccccbdcg f ccfgcccccccdbccg aa cccfcccccccbcccg f cccafcccccbgcccg aa ccccfacccbbccccg f cccccfccdbcccccg af cccccgfcbccccccg f ccccccfbdccccccg ef ccccccdbgccccccg f cccccgbcfccccccg ef cccccbccafcccccg f ccccbdcccfaccccg ef cccdbcccccfccccg fe cccbccccccafcccg f ccbccccccccfaccg fe cbdcccccccccfgcg f dbccccccccccgfcg fa b af f b fe aa bd f f db ef aa b fa f bc f af db ef f cb af ef b fe f bd f ef db af fe b fa f b f fe bd ef f db fa fe b fe f b f fa bd af f db f aa b f bc ccccccccafcccg bd ccccccccfccccg cb cccccccafccccg db cccccccfcccccg dbbd ccccccafcccccg dbbd ccccccfccccccg dbbd cccccgfccccccg dbbd cccccfgccccccg dbbd cccccfcccccccg dbbd ccccfacccccccg dbbd ccccfccccccccgdbbd cccfaccccccdbbd cccgccccbbbdcg cccccbbbdccccg cccbbdcccccccg cccccccccccccg cccccccccccccg gggggggggggggc ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#ff5858ff b,#0000ffff c,#ffa4a4ff d,#9191ffff e,#ece0f3ff f,#ff0909ff g,#3c3cffff ``` ```image effc afa effc cff ffc cff ffc cff ffc cff afa cffe afa effe afa effe afa effc afa ffc cff ffc cff ed ffc edgbb cff edgbbbbg cc edgbbbbgde edgbbbbgde edgbbbbgde edgbbbbgde ebbbgde gde ```  After careful examination, I've determined that there's no intersection in area A. Time for a closer look at another area. I'm determined to find out if an intersection exists in area B.  ```palette Key,Color ,#fefefeff a,#fd5e5fff b,#0605fdff c,#8180feff d,#c3c3ffff e,#febabbff f,#fd090aff g,#4240fcff ``` ```image effe cbbd aff dbbc afa bbg ffa gbb effe cbbd aff dbbc ffa gbg effe cbb aff dbbd ffa dbbc effa gbg effe cbb aff dbbd ffa bbc effe gbg affcbbd ffbbd ebbg gbbfe cbbaff dbbc ffa bbg effe gbb aff cbbd ffa dbbc effe gbg affe cbb afa dbbd ffa dbbc effe gbg aff cbbd ffa dbbd effe bbc aff gbg afa ```  Case closed! This is definitely an intersection point in area B. There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#ff3d3dff b,#0504feff c,#ff8383ff d,#a4a4ffff e,#ffc5c5ff f,#ff0404ff g,#5757ffff ``` ```image e cf fef ef aa f fe ef f fe cf ef fc fe f b f ef db fc aa b f fe bd ac ef bg f aa db aa fe b f f bd ca cf gg f fc db cf f b f ef bd ef aa gb f fe b ef f b fe cf bg f fc gb fe f b f ef b ac aa bg f fe db ac f b f cf bd aa fc gg f f db ca ef b f abd cf gbe f db f ef b cf fe bd fc ef gb f fe b ef f b aa fe bg fe f db ef ac b aa f bd fe ac bg f f db cf ca b fc f bd f ca gg ef f db aa ef b fe f bd f ef gb cf fe b fc ef b f fe bg ef f gb aa fc b fe f b f ac bg cf f db f aa b f bd ca gg f db ca db f dbbg ef gbbg f gbbg ef gbbg fe gbbg f gbbg fe gbbg f gbbg ac gbbg e gbbd gbbd bbd ```

I'm curious to see if this image contains any intersection points. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff0808ff b,#3636ffff c,#ffababff d,#8181ffff e,#0202ffff f,#ff5d5dff g,#c9c9ffff ``` ```image c fa ca ca ca ca ca ca ca ca a a a a ac ac ac ac ac ac ac af af af af af af af aa aa aac aa aaf aa faa fa caac fa aaf fa faa fa caac fa aaf fa faa fa caac ca aaf ca faa ca caac ca aaf ca faa ca caa gbee deeed deebg gbeed deeed deebg gbeed deeed deebg gbeed deeed deebg gbeed gddbeeeeeeed gddbeeeeeeebbdgg gddbeeeeeeebbdgg eeeebbdgg ```

I'm curious to see if this image contains any intersection points. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#090afdff b,#fe0505ff c,#fba4a2ff d,#a2a3fdff e,#aed5aeff f,#5353feff g,#fa4d4aff ``` ```image d fa aa aa af ad ad da da fa fa aa af af ad ad da fa fa aa af af ad ad da da fa fa b aa bc af bc af bg ad gg a gb da cb fa cb fa b aa b af bc af bg ad bg ad gb ad cb ad cb ad b ad b ad bc ad bg ad bg ad gb ad cb ad cb ad b ad b af bc af bc af bg af gb af gb af cb af b af b af bc af bc af bg af gb af gb af cb af b af b af bc eeeeeeeeaaeeeeee bc eeeeeeeaaeeeeeee bg eeeeeeaaeeeeeeee gg eeeeeaaeeeeeeeee gb eeeeaaeeeeeeeeee cb eeeaaeeeeeeeeeee cb eeedeeeeeeeeeeee ccggbb eeeeeeeeeeeeeeee ccggbbbbbbbbbggcc eeeeeeeecgggbbbbbbbbbggcc eeebbbbbbggceeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee eeeeeeeeeeeeeeee ```  Here's a close-up of the area A.  ```palette Key,Color ,#fffefeff a,#0000ffff b,#ff0303ff c,#ff8d8dff d,#dfdfffff e,#ffceceff f,#2323ffff g,#ff4949ff ``` ```image dfafd dfafd dfafd dfafd dfafd dfafd dfafd dfafd dfafd dfafd dfafd dfafd dafd dd eeec eeecccggggbbbbbbb eccgggbbbbbbbbbbbbbbbbbbgg ebbbbbbbbbbggggccceee gccceee ```  Based on this close-up, I can conclude that there's no intersection in area A. I did not find anything, there's no intersections

0

```palette Key,Color ,#fefefeff a,#0909ffff b,#ff0505ff c,#ff8989ff d,#9c9cffff e,#ffc8c8ff f,#4a4affff g,#ff4646ff ``` ```image d fa aa af af ad ad da da fa fa aa af af ad a da da fa aa af af ad ad da da fa fa b aa be af bc ad bg ad gg a gb da cb da eb fa b aa be af bc af bg ad bg ad gb ad cb ad eb ad b ad be ad be ad bc ad bg ad gb ad cb ad eb ad eb ad be ad be ad bc af bg af gb af cb af eb af eb af b af be af bc af bg af gb af cb af cb af eb af b af be af bc af bg aa gg aa gb aa cb aa eb d eecggbb eecggbbbbbbbbbggcee eeccgbbbbbbbbbggcee bbbbbggcce ```

Let's examine this image for potential line intersections. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#fd0807ff b,#4649f2ff c,#f7a7a4ff d,#9da1f6ff e,#0505fdff f,#add4adff g,#f45a55ff ``` ```image gaa caa gg caa a aa ca aac a gac ca gag ac caa a caa ag fffffffffffffffff aa a fffffffffffffffff aac gg fffffffffffffffffgac a fffffffffffffffgag ca fffefffffffffgaaf a ffffefffffffaafff ca ffffbbffffaafffff ac fffffeffaacffffff a fffffdeagffffffff ac ffffgaebfffffffff a fffaaffefffffffff gg fffffffdeffffffff a ffffffffedfffffff ca fffffffffefffffff a fffffffffbeffffff ca ffffffffffeffffff ac fffffffffffefffff a fffffffffffbbffff ac e a de gg ed a e ga de a ed ca e a d bb a be e ac ee e a eb bb gg ded e a be de ffgaffffffffffff ee ed fffaffffffffffffeb e fffgaffffffffffed de ffffaffffffffbef ed fffffaffffffbeff e fffffacffffeefff bb ffffffafffebffff e ffffffagdeffffff e fffffffbefffffff bb ffffffeegfffffff e fffffebfafffffff de ffffedffgaffffff ed ffbefffffaffffff e feeffffffcafffff de ebffffffffacffff ed ebffffffffffaffff e de fffffffffffagfff bb be ffffffffffffafff e ee gg e eb a bb ded ca e be a de ee ca ed eb ac e ed a de de ac ed be a e eb gg bb ed a eded ga e a ca a a ac a gg a gg a ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fd080aff b,#443df8ff c,#ffa4a4ff d,#8d8dffff e,#0504fdff f,#e0d5f4ff g,#fe5858ff ``` ```image f ga dd caaa feef caaaac beb caaaac feed cgaaac deef fgaaag beb gaaagf feed caaagf dee caaagc bebcaaaac feeaaac fgbeeg gaaaeed caaagfdeef caagc beb gc feed deef beb feed dee beb feef deb eed deef beb feed deef ```  I can confirm that an intersection exists in area A. Let's continue our search in the next region. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#fd0809ff b,#3631faff c,#ffa3a3ff d,#7c7afcff e,#0403feff f,#c5c4fdff g,#fe5556ff ``` ```image gag aac caa aac caa fb aag fee caa deeb gag deed caac beed gag feeef aac deebf gaa deeb aac beed caa fbeef aag feebf caadeeb gbeed fbeed feeeag deebfaac deed gaa beed aac fbeef caa feebf aac deeb caa beed gag fbeef caa feeef gag deeb aac eed gag ed aac f caa aac caa ```  Yes! I knew it! There's an intersection right here in area B! I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#ff0505ff b,#4745fcff c,#ff8888ff d,#9d9dffff e,#0505feff f,#efd3e2ff g,#ff3f3fff ``` ```image f caa cag cg faa a aaf ca aaf af gac fa cag ac cag a faa gc aaf a aaf gg gac a cag ca ef cag af e faa fa bb faaf af e aaf a feac ac caed a ag e gg de a ed ca e a be fa ef af fe fa bb ac e a de gg ed a e cg de a ed ca e af d bb fa be ef ac ee fe a eb bb gc def e a be de cg ee ed a eb e ca fed de af de ed fa be e ac eb bb a ed ef gcdef fe be bb eeg e eb a de fed ca ed de af e be fa de eb af ed fed a e def ac bb be a ef ee gg fe eb a bb ded ca e be a de ee fa ed eb af e fed fa de def ac ed be a e eb gg bb ed a edef cg fe a ca af fa ac a gc a cg a ```

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,#fe0505ff b,#0202feff c,#f4918cff d,#989ef2ff e,#3a3cfaff f,#f64f4bff g,#aed5aeff ``` ```image d ebgggggggggggggg gdbdgggggggggggg gggbeggggggggggg ggggebgggggggggg gggggdbdgggggggg acgggggbeggggggg gaggggggebgggggg gfaggggggdbdgggg ggaggggggggbeggg ggcaggggggggebgg gggafggggggggdbd ggggaggggggggggbe ggggfaggggggggggeb gggggagggggggggg dbd ggggggaggggggggg be ggggggafgggggggg eb gggggggagggggggg dbd gggggggfaggggggg be ggggggggaggggggg eb gggggggggagggggg dbd gggggggggafggggg be ggggggggggaggggg eb ggggggggggcagggg dbd gggggggggggacggg be ggggggggggggaggg eb ggggggggggggffgg dbd gggggggggggggagg be gggggggggggggcag dbe ggggggggggggggac ebd ggggggggggggggga ebd gggggggggggggggff bbd gggggggggggggggga bb ggggggggggggggggca dbb gggggggggggggggg ac dbe gggggggggggggggg a dbe ff ebd a ebd a bbd ac bb a bb ca dbe a dbe a ebe ac ebd a bbd ca bb a bb a dbb ff dbe a ebe ca e ac a ff a ca ac a ff a ca ac a fa caaf caaf caaf caaf faaf faac faac faac faac faac faac faac faac aaac aa ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0909feff c,#ff8c8cff d,#bcbcffff e,#6262ffff f,#ff4747ff g,#ffccccff ``` ```image dbbd ebbe ebbbd dbbbd ebbe ebbbd dbbbd ebbe ebbbd g dbbbd gaf ebbe gaac ebbbd caa dbbbd faf ebbe gaag ebbbd faf dbbbd aac ebbe caa ebbbd faf dbbbd gaag ebbe faf ebbbd aac dbbb caag eb faf e gaag caa aac caag faf gaag caa aac gaag faf gaac caa aac gaag faf gaac caa faf gaag faf aac caa faf gaag faf aac caag faf gaag caa aac caag faf gaa ca a g ```  The evidence suggests that this is not an intersection point in area A. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0303ffff c,#ff8c8cff d,#a9a9ffff e,#4141ffff f,#ff4c4cff g,#fad4d9ff ``` ```image d eb dbd be eb dbd ac be a eb ff dbd ag be ga eb ac dbd a be ca eb ag dbd ga be ac eb a dbd ca be ag eb ga dbd ff be a eb ca dbd ag be a eb ff dbd a be ca ebe ac ebd a ebd ff bbd a bb ga dbb ac dbe a dbe ff ebe ag ebd ga bbd ac bbg a dbb ca dbb ag dbe ga ebe ac ebd a bbd ca bbg ag gbb ga dbb ff dbe a ebe ca e ag a ff a ca ac a ff a ga ac a fa caaf caaf caaf caaf faaf faac faac faac faac faac gfaac gfaac gfaac gaaac gaa ```

This image seems promising for intersection detection. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#575bf1ff b,#fd0b0aff c,#b1d7b1ff d,#0707fdff e,#ec786fff f,#97c599ff g,#b3b3feff ``` ```image g gdg d dg gd d d d d gd dg gd d gd aa ad b d ad be aa ad be d dd b gd da eb d da eb gd dg bb dg dg bb d dg be dg dg be d dfcccccccccccccfb aa fdcccccccccccceb d cfdccccccccccebf aa ccadccccccccbbcf d cccadccccccbbccf gd ccccadccccbecccf d cccccadccbeccccf gd ccccccddbfcccccf dg cccccceddccccccf d cccccebcdacccccf dg ccccbbcccdaccccf d cccbbcccccdacccf aa ccbecccccccdaccf d fbecccccccccdfcf aa cbfcccccccccccdff d ebfcccccccccccccdf gd eb fcccccccccccccfd d bb gd gd bb gd dg be ad d be ad dg b ad d eb dd aa eb da d bb da aa bb da d be dg gd be dg d eb dg gd bb d dg ebe d bb dg ebe d bb aa eb d bb aa bb d cbe gd bb cffffffffffdfffffffebe fcccccccccfdccccccbbf fcccccccccdfccccebecf fcccccccccdccccbbcccf fccccccccdaccebeccccf fccccccccdccbbccccccf fcccccccaabbfcccccccf fcccccccdbbcccccccccf fccccccadcccccccccccf fccccebdccccccccccccf fcccbbadccccccccccccf fcebecdcccccccccccccf fbbccfdcccccccccccccf ffcccdfcccccccccccccf fccccdccccccccccccccf fcccdaccccccccccccccf fcccdcccccccccccccccf cffaafffffffffffffffc d aa d gd d ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#4438f3ff b,#fd0708ff c,#9592fbff d,#0404feff e,#f9464cff f,#fd9193ff g,#f3d4e0ff ``` ```image adc cdd f adc geb gddg fbbb ada gebbeg gddg fbbbf cda gebbeg ddc fbbbf cda gbbbeg ddc ebbbf cdd fbbbe adc gebbbg cdd fbbbf adcgebbeg gddfbbbf adabbeg gddbbf gadaeg fbddc gbbeda ebbbddc fbbbecdd gebbbg adc fbbbf cdd gebbeg adc gbbbf gddg beg ada g ddg cda ddc cda ddc cdd adc ```  Oh my, look at that! It's an intersection in area A! Hmm, interesting. Let's check out another area. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#4747feff b,#fd0a0bff c,#9191ffff d,#0806fdff e,#fd5f60ff f,#ffb3b3ff g,#cdcdffff ``` ```image dg ddg add gdda f gdda fb gdda ebb gdda ebbe gdda ebbf cddc bbbf cddc fbbbf cddc fbbb cddc fbbe addg ebbe addg ebbe addg ebbf addg bbbf addbbbf dddb fbdda ebbedda ebbe gdda ebbf gdda bbbf gdda fbbbf cddc fbbb cddc fbbe cddc ebbe cddc ebbe addg ebbf addg bbbf addg bbbf addg bb addg e dda gdd ```  Oh my, look at that! It's an intersection in area B! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#413dfbff b,#ff0a0aff c,#807ffeff d,#0605feff e,#ff5a5aff f,#ffafafff g,#c3c3ffff ``` ```image g cdg d dg gd d dg gd d gd dg gd d cd ac cd b d ad be ca ad bf d da fbf ca da fb d dc eb gd dc bb dg dg bb d dg be dg dg bf d d fbf ac gd fb d gd eb ca gd bb d cd bb cd cd be d ad bf gd adbf dg fda d eb da dg bb dc d bb dc ac be dg d bf dg ca fbf dg d fb d cd eb gd d bb gd gd bb gd dg be cd d bf cd dg fbf ad d fb ad ac eb da d bb da ca bb dc d be dc cd bf dg d fbf dg gd bb d dg fbf d bb dc ebf d bb ac ebf d be ca bb d fbe cd bb d fbe gd bb dg fbf d bb dc ebf d bb acebf dbe ad fbd bbcd fbe d bb gd dg d dc d ac d ca d gd d ```

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,#ec766dff b,#4449f4ff c,#8e97ecff d,#b0d6b0ff e,#fc0b0aff f,#0606feff g,#efeeeeff ``` ```image g ff bfcf bf fg cf gf cf bb gf f gfg cf fg fc fc f fc bb fb fg fb gf bf fc bf f cf cf cf fg gf gf gfg bb fg f fc cf fc fc fb ge f fb eae bb bf ea ea fg bf ae eg gf cf e ge fc cf ea ae f gf ae ea cf gfg e eg fg fg ea ge gf fc ae ae bb fc e eaggggggggggfgggggggggggggggggggggggg fb eg eddddddddddcfdddddddddddddddddddddddg fb ae deddddddddddfcddddddddddddddddddddddg bf ge daeddddddddddfddddddddddddddddddddddg bf eg ddeadddddddddbbdddddddddddddddddddddg cf ae dddeddddddddddfdddddddddddddddddddddg cf ge ddddedddddddddcfddddddddddddddddddddg gf eg ddddaedddddddddfcdddddddddddddddddddg fg ea dddddeedddddddddfdddddddddddddddddddg ge ddddddeaddddddddbfddddddddddddddddddg eg dddddddedddddddddfddddddddddddddddddg ea dddddddaedddddddddfdddddddddddddddddg de ddddddddeeddddddddfbddddddddddddddddg e dddddddddeaddddddddfddddddddddddddddg ea ddddddddddeddddddddcfdddddddddddddddg ae ddddddddddaeddddddddfcddddddddddddddg e dddddddddddeeddddddddfddddddddddddddg ea ddddddddddddeadddddddbbdddddddddddddg ae dddddddddddddeddddddddfdddddddddddddg e ddddddddddddddedddddddcfddddddddddddg eg ddddddddddddddaedddddddfcdddddddddddg ae dddddddddddddddeadddddddfdddddddddddg ge ddddddddddddddddedddddddbfddddddddddg eg dddddddddddddddddedddddddfddddddddddg ae dddddddddddddddddaedddddddfdddddddddg ge ddddddddddddddddddeaddddddfbddddddddg eg dddddddddddddddddddedddddddfddddddddg ea ddddddddddddddddddddeddddddbfdddddddg ge ddddddddddddddddddddaeddddddfcddddddg eg dddddddddddddddddddddeaddddddfddddddg ea ddddddddddddddddddddddeddddddbbdddddg de dddddddddddddddddddddddeddddddfdddddg e dddddddddddddddddddddddaedddddcfddddg ea ddddddddddddddddddddddddeedddddfcdddg ae dddddddddddddddddddddddddeadddddfdddg e ddddddddddddddddddddddddddedddddbbddg ea ddddddddddddddddddddddddddaedddddfddg ae dddddddddddddddddddddddddddeeddddcfdg e ddddddddddddddddddddddddddddeaddddfbg eg dddddddddddddddddddddddddddddedddddfg ae dddddddddddddddddddddddddddddaedddddg ge ddddddddddddddddddddddddddddddeeddddg eg dddddddddddddddddddddddddddddddeadddg ddddddddddddddddddddddddddddddddedddg dddddddddddddddddddddddddddddddddeddg dddddddddddddddddddddddddddddddddaedg ddddddddddddddddddddddddddddddddddeag dddddddddddddddddddddddddddddddddddeg ggggggggggggggggggggggggggggggggggg ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#ff4343ff b,#5d5dffff c,#ffceceff d,#ff8d8dff e,#ff0606ff f,#0808feff g,#b5b5ffff ``` ```image eed ffg deec gff aea bfb ceea gffg ceed bff deec ffb aee gffg eea bfb ceed ffg deec bff aee ffb eea gffg ceed bff deec ffg aee gff aea bfb ceed gffg deec bff aeec ffb aea gffg ceed bfb deec ffg deec bff aea ffb ceed gffg ceed bfb deec ffg aea gff ceea ffb ceed gffg deec bff aea ffb eea gff ceed bfb deec gffg aee bff eea ffb ceed gffg deec bfb aee ffg aea gff ceed ffb deec gffg aeec bff aea ffb ceed gff deec bfb deec gffg aea bff ceed ffb ceed gffg deec bfb aea ffg ceea bff ceed ffb deec gffg aea bff eea ffg ceed gff deec bfb aee gffg eea bff ceed ffb deec gffg aee bfb aea ffg ceed bff deec ffb aeec gffg aea bff ceed ffg deec gff deec bfb aea gffg ceed bff ceed ff deec gf aea b ceea g ceed deec aea eea ceed deec aee eea ceed deec aee aea cee de ```  There is no intersection present within area A. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#ff5151ff b,#4343ffff c,#8181ffff d,#ffa8a8ff e,#ff0707ff f,#0606ffff g,#c4c4ffff ``` ```image g ff bfcf bf fg cf f gf bb gf f f gf fg fg fg f fc bb fc f fb gf bf fc bf f cf cf gf fg gf f f bb fg f fg gf fc fg fb de f fb eae bb bf ea ed f bf de e gf cf e de fc gf ed ae f gf de ed cf f e e fg fg ed e gf fg ae ae bc fc e ea f fb ed e cf fb ae e fg bf e de f cf ed ea bb cf aa ed f gf e e gf gf e de fc f aa ea f de ed cf e e fg ea de gf de aa bc e ed f ed e cf de de fg e ae f ed ed bb ae e f e de gf ed ae fc ae ed f e e cb ed e fg aa ae gf e ea fc e e f aa e cf de de fg e ea f ea ed bb de e f e de gf ed ea fg de ed f e e bb ed de f de aa gf e ed fc ed e f ae de e ae ed ed e de ae ed e ```

Here's an image. My task is to find intersections or areas where lines come close together. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#f4413dff b,#0303feff c,#dbd0f3ff d,#acd4aeff e,#fe0505ff f,#6a6df8ff g,#f6928eff ``` ```image ddddddddddddd ddddddddfdddd dddfbbbbbdddd cfbbbbbfddddddddd cfbbbbbfc ddddddddddddd cfbbbbbfc ddddddddddddd ffbbbbfc ddddddddddddd cfbbbbff ddddddddddddd cfbbbbff ddddddddedddd cbbbfc dddddddaadddd bc dddddddeddddd cb ddddddegddddd bc dddddgedddddd ec cb dddddeddddddd ce bc ddddaaddddddd eg cb ddddedddddddd e bc dddegdddddddd eg cb ddgeddddddddd e bc ddedddddddddd ag cb daadddddddddd e bc deddddddddddd aa cb ec e bc ge ga cb e e bc ag ge cb ce e bc ec ge cb ge ec bc e ce cb eg eg bc ce e cb e eg bc ga e cb e ag bc eg e cb ce ddaaddddddddbddd e dddeddddddddbddd aa dddaeddddddbdddd e ddddeddddddbdddd eg ddddgeddddbddddd ge dddddeddddbddddd e dddddgeddbdddddd aa ddddddeddbdddddd e dddddddebddddddd eg dddddddabddddddd ge dddddddbeddddddd e dddddddbeadddddd aa ddddddbddedddddd e ddddddbddaaddddd eg dddddbddddeddddd ge dddddbddddaadddd e ddddbddddddedddd aa ddddbddddddaeddd e dddbddddddddeddd ec dddbddddddddgedd ge bc ec e cb ce ag bc ec ce cb e ec bc eg ge cb e e bc ag eg cb e ce bc aa ec cb e ga bc ga e cb e eg bc ge ce cb e e bc ge aa cb ec e bc ce eg cb eg ge bc e e cb eg aa bc e e cb ag eg bc ege cb ae bc g ```  This is a magnified view of the region A.  ```palette Key,Color ,#fffefeff a,#fc393cff b,#0000feff c,#fcbdc0ff d,#d2d2feff e,#fe0405ff f,#544ff9ff g,#ff7c7cff ``` ```image ceec fbf aea dbbd ceec fbf gea dbbd eec fbf gea dbbd eeg fbf gee dbbd eeg fbf cee dbbd aeg fbf cee dbbd aeg fbf ceec dbbd aea fbf ceec dbbd gea fbf eecbbd gefbf abbd fbf dbbeg fbfee dbbdaeg fbf cee dbbd aeg fbf cee dbbd aeg fbf ceec dbbd aea fbf ceec dbbd gea fbf eec dbbd gea fbf eec dbbd gee fbf eeg dbbd gee fbf aeg dbbd cee ```  An intersection is present within area A. Now, let's turn our attention to the next spot. I'm eager to see what's happening in this magnified view of area B.  ```palette Key,Color ,#fefefeff a,#ff4141ff b,#0606ffff c,#ffc2c2ff d,#b1b1ffff e,#ff0606ff f,#5a5affff g,#ff7a7aff ``` ```image dd ddffbbbf ddffbbbbbbbbbf dffbbbbbbbbbffdd bbbbbbffdd ffdd ac gee ceec aea ceec eeg gee ceec aea ceec eeg gee ceec aea cee eeg gea ceec aea gee eeg gea ceec aeg ```  Area B does not contain any intersection points. My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#ff4242ff b,#0303feff c,#ffc6c6ff d,#cfcfffff e,#fe0505ff f,#6a6affff g,#ff8585ff ``` ```image d dfbbbbb dfbbbbbfd dfbbbbbfd dfbbbbbfd ffbbbbfd dfbbbbfd dfbbbbff e dbbbfd aa bd e db ec bd ce ec db e ce bd aa ec db e e bd ec eg db ge e bd e ag db aa e bd e aa db ec e bd ge ga db e e bd ag ge db ce e bd ec ce db ge ec bd e ce db eg ec bd ce e db ec eg bd ga e db e ag bd eg e db ce aa bd e e db aa ga bd e e db eg ge bd ce e db e ce bd aa ecdb e cebd ec eb ce be e dbeg aa bd e e db aa ec bd e ge db aa e bd e aa db ge e bd e ec db ce ge bd ec e db ce ag bd ec ce db e ec bd eg ge db e e bd ag eg db e ce bd aa ec db e ga bd ga e db e eg bd ge ce db e e bd ce aa db ec e bd ce eg db ec ce bd e e db eg aa bd e e db ag ec bd ece db ae bd g ```

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,#3d43f3ff b,#fc0607ff c,#ef9790ff d,#8a90f4ff e,#0405feff f,#f54642ff g,#add4acff ``` ```image fb d b b ad bc ff e b bc ed b b e cb cb e b ff e ff bc e b b de bc cb e b ff da b b e cb b da b cb e ff bf ad b b e bc b ad cb cb e b bc ed cf b e b b e bc fb e b bc e bc b de cb cb gggegggggggggbgg ff gggaagggggggffgg bc ggggegggggggbggg b ggggaagggggbcggg cb gggggegggggbgggg ff gggggaagggbggggg bc ggggggeggcbggggg b ggggggedgbgggggg cb gggggggeffgggggg bf gggggggebggggggg b gggggggbeggggggg b ggggggcbeggggggg cb ggggggbgdegggggg bc gggggfbggegggggg b gggggbgggdeggggg b ggggbfggggeggggg fbgggggggggggggg ggggbgggggaagggg gbfggggggggggggg gggbcggggggegggg ggbggggggggggggg ggcbgggggggaaggg ggcbgggggggggggg ggbgggggggggeggg gggfbgggggggggeg ff ad ggggbcgggggggeag b e gggggbgggggdedgg bc ed gggggcbgggaegggg b e ggggggffgeeggggg b e gggggggbedgggggg cb e ggggggaebggggggg b e gggggeegcbgggggg ff de ggggeagggbfggggg b e ggdedgggggbcgggg bc da gaeggggggggbgggg b e eegggggggggcbggg b da eagggggggggggbfgg cb e de gggggggggggggbgg b ad ee ggggggggggggggbg ff e ea ggggggggggggggcg b ad de bc e ae ed ea e ed e de e ee e ea de de e ae da ea e ed aa de e ee ad ea e de ed ae e ea eded e ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#483ff6ff b,#fd080aff c,#fca8abff d,#9494feff e,#0404feff f,#ff5d5dff g,#e8d9f0ff ``` ```image dee fbb eed gbbc dea fbf geed cbbg dea bbf geeg cbbg aea bbc geeg fbb aea gbbc geeg fbf aed cbbg dee bbf aed cbb dee bbc eed fbb dea gbbc eedfbf deabbg geebf aea gbeeg fbaea cbbceeg fbf aea cbbg geeg bbc aed fbb dee gbbc aed fbf dee cbbg eed bbf dea cbb eed bbc dea fbb geeg gbbc aea fbf geeg cbbg aea bbf geeg ```  As I suspected, there's an intersection within area A. Okay, on to the next area of interest. Let's get to the bottom of what's happening inside area B.  ```palette Key,Color ,#fefefeff a,#5b5bffff b,#fe0708ff c,#fe8f90ff d,#aaa9fdff e,#0a08fcff f,#ff4b4bff g,#fecacbff ``` ```image fbb fbf gbbc cbbg fbb bbf gbbc cbbg fbb dea bbf deee gbbc aeea cbbg eeed fbf deeed bbf aeea gbbc aeea cbbg deeed fbf deee gbbcaeea gbeeed deeed aeeebf aeeagbbc deeed cbbg deee fbb aeea bbf eeed gbbc deeed cbbg aeea fbb aeea bbf deeed gbbc eee cbbg ea fbb d bbf gbbc cbbg fbf bbf gbf ```  My investigation has led me to an intersection in area B! The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#4848ffff b,#fd0708ff c,#ff9a9aff d,#9696ffff e,#0505feff f,#ff4d4dff g,#edd4e5ff ``` ```image g fb d bgb ad bc fb e gb bc ed bg b e cb cb eg b ff ge ff bc e b b de bc cb e gb bf de bg bg e cb b aa b cb e ff bf aa b bg e bc gb ed gb fb e b bc ed fb bg ge b gb eg bc fb ge gb bc e bg b de cb gb e b ff da ff bc e b b aa bc cb e gb ff ad bg bg e cb b ed b cb eff bf eb bg be gb gbeg cb bgde bf cb e bg b de gb ff e fb b da bc bc e b cb aa gb b e fb e ff ad bc ea b e b deg bc ed cb ae gb e ff ea bg eg bed cb ge deb b eg ee cb ff de ea bf b e deg bg bc de ae b gb e ea cb bg aa ged bf cb e de bg b aa ee gb ff e ea c b ad deg bc e ae ed ea e ged eg ae ge ee e ea de deg e ae da ea e ged aa ae e ee ad ea e deg ed ae e ea eded ge ```

I'm on the case! Let's uncover any intersections hidden in this image. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#f9a7a4ff b,#5b5ef9ff c,#fe0505ff d,#add4adff e,#f85552ff f,#0808feff g,#b9b9ffff ``` ```image a ec ec ec ac ac ac ac ac c ca ca ca ca ce ce ce ce cc cc ec ec ec ec dddddddddddddddd ac dddddddddddddddd ac dddddddddddddddd ac dddddddddddddddd acdddddddddddddddd acddddddddddddddd bg dcdddddddddddddd gffb ddcddddddddddddd bffb dddcaddddddddddd bffb ddddcadddddddddd bffg dddddceddddddddd gfffg ddddddceeadddddd gffb dddddddeeccccccccccceeaa gffb dddddddddddddddd aaeeecccccccccceeaaa bffb dddddddddddddddd aaaeecccccccccceea bffg dddddddddddddddd aaae fffdddddddddddddddd gfffddddddddddddd ddbffbdddddddddd dddddbffdddddddd dddddddbfddddddd gfg fb fb ff bf gf gfg fb ff ff bf gfg fg fb ff bf bf gfg fg fb ff bf gf gfg fb fb ff bf gf gfg fb ff ff bf gf f ```  Could this be where the intersection is hiding, in area A?  ```palette Key,Color ,#fefefeff a,#ffc5c5ff b,#5252ffff c,#ff0404ff d,#9c9cffff e,#ff3f3fff f,#0505ffff g,#ff8181ff ``` ```image e ce cce accea accca ecca ecca ecca ecca ecca ecca eccg gccg gccg gcceggaaa gccccccccccceeeggg ageeeeccccccccccc aaaaggge bd fffb bfffffd dbffffbd dbffffbd dbffffbd dffffd ```  No luck this time. Area A doesn't have an intersection. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#ffafafff b,#3e3effff c,#ff0606ff d,#8787ffff e,#ff5c5cff f,#0404ffff g,#cdcdffff ``` ```image a ec ec ec ec ac ac ac ac c ca ca ca ca ce ce ce ce cc cc cc ec ec ec ec ac ac ac ac bg c dffb ca dffd ca bffd ca bffd ca gfffg ceaa gffb eeccccccccccceeaa dffb aaeeccccccccccceeaaa dffd aaeeecccccccccceee bffd aaae gbffg gffbg dffb dff df gfg fd fb bf bf dfg gfg fd fb bf df gfg gfd fb fb bf df gfg fd fb ff bf df gfg fd fb ff bf df gfg fd fb bf df gfg gf ```

I'm optimistic that I'll find some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#ed6057ff b,#0809fdff c,#5c65ebff d,#aed5aeff e,#fd0908ff f,#f1aaa3ff g,#bfc0feff ``` ```image g bc b gb bc e b aa gb e bc ef b fe gb e bc ae b e a gb ea aaddddddbcddddddd e edddddddbddddddd ef aeddddddcbdddddd fe dedddddddbcddddd e daedddddddbddddd ae ddedddddddcbdddd e ddfedddddddbcddd ea dddeddddddddbddd e ddddedddddddcbdd ef ddddefdddddddbcd fe dddddeddddddddbd e dddddeadddddddcb aa ddddddeddddddddbg e ddddddeaddddddddb ef dddddddeddddddddcb e dddddddaaddddddd bg e ddddddddeddddddd b fe ddddddddaedddddd cb e dddddddddedddddd bg aa dddddddddaeddddd b e ddddddddddeddddd cb ef ddddddddddfedddd bg fe dddddddddddedddd b ddddddddddddddddded ddddddddddddeddd cc ddddddddddddddddaed ddddddddddddefdd bg ddddddddddddddddedd dddddddddddddedd gb dddddddddddddddeadd dddddddddddddead cc dddddddddddddddeddd dddddddddddddded b ddddddddddddddefddd ddddddddddddddea gb dddddddddddddfedddd ddddddddddddddde bc dddddddddddddeddddd dddddddddddddddaa b ddddddddddddaeddddd gbbb e gb ddddddddddddedddddd gcbbbg ae bc dddddddddddeadddddd cbbbc e b dddddddddddeddddddd gbbbc fe gb ddddddddddefddddddcbbbg e bc dddddddddaedddcbbbc fe b dddddddddecbbbcdddd ef gb dddddddcbbbcddddddd e bc dddcbbbcedddddddddd ef b gbbbcdddeadddddddddd e gb cbbbcddddddeddddddddddd ea bcbbbc ddddddedddddddddddd e cg dddddaedddddddddddd aa dddddeddddddddddddd e ddddeaddddddddddddd aa ddddedddddddddddddd e dddeadddddddddddddd fe ddfeddddddddddddddd e ddedddddddddddddddd fe daedddddddddddddddd e deddddddddddddddddd fe eaddddddddddddddddd ef edddddddddddddddddd e ef ef fe e e ea ae e e aa ea e e ae ef e fe fe e e aa fe e eef e ```  I'm analyzing this close-up of area A with precision.  ```palette Key,Color ,#fefefeff a,#ff4a4aff b,#0404ffff c,#3f3fffff d,#ff9494ff e,#ff0505ff f,#f3d5e1ff g,#9191ffff ``` ```image eef cbc aea fbbg feef gbbf aea cbc feef fbbg aea gbbf feed cbc dea fbbg eed gbbf dee cbc eed fbbg dee gbbf aed cbc deef fbbg aea gbb feef cbc aea fbbg feef gbb aea cbc feef fbbg aea gbb feed cbc dee fbbg eed gbb dee cb eed fb dee g aed deef aea feef aea feef aea feed dea eed dee eed dee eed deef aea feef aea feef aea feef aea feed dea eed dee eed dee aed deef aea fee ae ```  There is no intersection present within area A. Alright, let's concentrate on the next area. I'm now examining the contents of area B in detail.  ```palette Key,Color ,#fefefeff a,#f93d43ff b,#0b08fcff c,#6867fdff d,#ff8686ff e,#fe0505ff f,#ffc7c7ff g,#b2b0fdff ``` ```image f a de ee dee feef aea feef aed dee eed dea feef aea feef aed dee eed dea feef aea feef eed dee eed aea feef aea gcbb dee gccbbbbb eed gcbbbbbbcg deagcbbbbbbcg gabbbbbbbcg gcbbbbbbcg gcbbbbbbbc gccbbbbbbcaed gcbbbbbbcg dee cbbbbbbcgg eed bbbbcg dea cg feef aea feef aed dee eed dea feef aea feef eed dee eed aea feef aea dee eed dee feef aea feef aed dee eed ```  Aha! I've found an intersection inside area B! One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#ff3b3bff b,#0909ffff c,#6565feff d,#ff7a7aff e,#fe0404ff f,#ffbfbfff g,#babafeff ``` ```image g bc b gb bc e b aa gb e bc ef b fe gb e bc da b e d gb ad ad bc e e b ef da gb fe e bg e de b da e cb e fe bg ed ef b e fe cb ef ef bg fe e b e ed cb aa e bg e ad b ed e cb fe aa bg ef e b de da cb e e bg aa de b e e cb ef fe bg fe ef b e fe cc da ef b e e gb ad ed cc e e b ef ad gb fe e bc e da b da gbbb e gb e gcbbbg da bc ed cbbbc e b e gbbbc fe gb ef cbbbg e bc fe cbbbc fe b egbbbcg ef gb cbbbg e bc cbbbce ef b gbbbcg ed e gb cbbbg fe ad bcbbbc ef e cg de ad e e aa da e e ef de fe e e fe da ef e fe ad ef e e ef ed fe e e ad da e e aa ad e e da ef e fe de e e aa fe e eed fe ```

I'm on the case! Let's uncover any intersections hidden in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#3e44e9ff b,#d97765ff c,#8393dbff d,#f70d0eff e,#b1d7b1ff f,#0505fcff g,#eff5f0ff ``` ```image c f fc gf fg cf fg ca f aa f fc gf fg cf fg gggggggggggggggggggggggggggggggggggggggggggggggggggcfgggggggd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeeeebdg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeedeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeeeedeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeedbeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeeeddeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeebdeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfeeeeeedeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeeedbeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfeeeeeddeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeebdeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeedeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeeedeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeedbeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeebdeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeedeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfeeeedeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeeedbeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfeeeddeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeebdeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeedeeeeeeeeeeeeeeeg g geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeeedbeeeeeeeeeeeeeeeg fa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeedbeeeeeeeeeeeeeeeeg fc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeebdeeeeeeeeeeeeeeeeeg fg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceedeeeeeeeeeeeeeeeeeeg gfg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefeedeeeeeeeeeeeeeeeeeeeg gf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcedbeeeeeeeeeeeeeeeeeeeg cf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfeddeeeeeeeeeeeeeeeeeeeeg af geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefebdeeeeeeeeeeeeeeeeeeeeeg fa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafedeeeeeeeeeeeeeeeeeeeeeeg fc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefedbeeeeeeeeeeeeeeeeeeeeeeg fc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaddeeeeeeeeeeeeeeeeeeeeeeeg fg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbdeeeeeeeeeeeeeeeeeeeeeeeeg gf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcdeeeeeeeeeeeeeeeeeeeeeeeeeg cf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeeeeeeeeeeeeeeeeeeeeeeeeeg af geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdbeeeeeeeeeeeeeeeeeeeeeeeeeeg aa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfdeeeeeeeeeeeeeeeeeeeeeeeeeeeg fa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cfgeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cfeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg afeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gfaeeeeeeeeeeeeeeeeeeeeeeeedfceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gefceeeeeeeeeeeeeeeeeeeeeebdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geefceeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeefeeeeeeeeeeeeeeeeeeeedcfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeecfeeeeeeeeeeeeeeeeeedbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeecfeeeeeeeeeeeeeeeebdaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeafeeeeeeeeeeeeeebdefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeefaeeeeeeeeeeeeedefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeefceeeeeeeeeeedbefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeefceeeeeeeeeddefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ddddbbbgg geeeeeeeeefeeeeeeeebdecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gebbbdddddddddddddbbbeeeeecfeeeeeeedeefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gebbbddddddddfddddbdeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeafeebbbeefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeefaeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeefaeeeefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeefceeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeefeefeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeffceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeecfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#463ef6ff b,#f5545dff c,#9190fdff d,#fd0709ff e,#feafb0ff f,#0605feff g,#d1d1feff ``` ```image gfc b aa bd gfg edd gff db afc bd cff ede ffc edd cff ddb ffc bdd gffg edde afa ddb ffg db fa bd cfg ede fc edd cf ddb cfa edde gffg edde afa ddb gffg dd afa bd cffg ede ff ddb fc bdd ca edde gfc edde af ddb gff bdd gffg ede afc db cff bd ffc bdd cff edde ffc eddb gfg bdd aa dde gfg ede af db cff bd ffc bdd ffc ddb cfa ddb gffg bdd afa dde ffg edb fa db cfg bd cf edde ff ddb cfa bdd gffgbdd afa dde gffg db cffgbd afcedd ffedde fcddb cabdd gfbdde gffdb afab gffd afad cffdb ffbb gffbe affe ffb fa bfg efa c bf ffg bbff aff edffc ff edafa gfa ddffg gfc dafa ffc bdffg affg ddffg affg bdbfc afa bddcf gff eddefc gfc eddbcf cfc ddbgff affg edegffg affg ede afa afa dd cffg gffa bdd afc gff bddecff cfc edde ffc ffg bdb gfc affg dd aa afa ede gfg gffa edb af dbbbbeeee gffa dd gff ddddddddddddddbbbbbffc bdd afc eeeebbbbafdddddddddde ffc afg eeeebe cff ff gffc ffa afa gffa ffg gffc fa cffc gfg afg cf afg ff fa cff ffaffc gfffa cffg ```  The close-up clearly shows an intersection point in area A. After a long analysis, I found two intersections.

2

```palette Key,Color ,#fefefeff a,#3b38fbff b,#f7444bff c,#8180fdff d,#fe0606ff e,#fea1a1ff f,#0404feff g,#c5c5ffff ``` ```image c f fc gf fg gf f ca f ac f fc f fg gf f ca d f bd aa d f d fc de f bd fg ed gf d f de cf db f ed aa d f d ac db f bd fg ed gf d fg de cf bb f ed ca d g f de fa ac db fc f ed fg fc d f gf d gf fg de cf gf bd af f ed aa ca d fc f de fg acbb f fed gf fcd gf fd cf fbb aa gfd fc fd fg cf fg fe f aa gf ef cf fc aa df fa dfg fc ebf fg df f dcf gf def cf bdaa af ed f fa d ac fc de f fg bb fg dddbbeee f ed gf eebbbddddddddddbbbee gf d fg eeebbddddddbfdddbbde cf af eeee f aa ca fc f fg ac f f gffc gf ```

Here's an image. My task is to find intersections or areas where lines come close together. The image has some tight areas where segments are too close. I should investigate those closely.  ```palette Key,Color ,#fefefeff a,#f64845ff b,#090afdff c,#696df6ff d,#f09e97ff e,#fd0808ff f,#bdbdffff g,#afd5afff ``` ```image f d bf de b de bf e fb e b e fb ed b ed cc ea b ea cc ae b ae bf de b de eaggggbgggggggggggggggggggg e eaggggbggggggggggggggggggg e geegggbggggggggggggggggggg e ggeeggcbgggggggggggggggggg ed gggeeggbgggggggggggggggggg ed ggggeegcbggggggggggggggggg ea gggggaegbggggggggggggggggg ea ggggggaebcgggggggggggggggg ae gggggggaebgggggggggggggggg ae ggggggggabcggggggggggggggg de gggggggggabggggggggggggggg de ggggggggggbegggggggggggggg de gggggggggggbeggggggggggggg e gggggggggggbdegggggggggggg e gggggggggggcbdeggggggggggg ed ggggggggggggbgdegggggggggg ed ggggggggggggcbggeggggggggg ed gggggggggggggbgggegggggggg ea gggggggggggggbcgggeggggggg ea ggggggggggggggbggggedggggg ae ggggggggggggggbcggggedgggg ae gggggggggggggggbgggggedggg de gggggggggggggggbggggggedgg de ggggggggggggggggbggggggeag e ggggggggggggggggbgggggggea e ggggggggggggggggcbgggggggea e b ea ed cc ea ed b ea ea bc ea ea b ee ae bf ee ae b ae de bf aede fb ae b cb b cc b bc b bf b bf fb b cb b cc b bc b bf b bf fb fcb b fcbbbbf cb fcbbbbc b fcbbbbc cc fcbbbbc b fcbbbbc bc cbbbbcf b cbbbbcf bf cbbbbcf bbcf ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#f8343bff b,#0806fdff c,#acaafdff d,#fec8c9ff e,#fe0506ff f,#fb7377ff g,#5751f8ff ``` ```image eea bbc deea gbg deea cbb deea gbg deea cbb deea bbc deea cbb deead bbc daeed cbb aeed bbc aeed gbg aeed bbc aeed gbg aeedcbb aeedgbg aeecbb aeebbc feabb febbc fabb fbbf gbbf bbef gbgef cbbeef gbgeef cbbdeea bbcdeea cbb deea bbc deea cbg deea bbc deea gbg deea bbc deead gbg deead cbb daeed gbg aeed cbb aeed bbc aeed cbb aeed bbc aeed cbg aeed bbc aeed gbg feed bbc feef gbg feef cbb feef gbg feef cbb feef bbc fee ```  Oh my, look at that! It's an intersection in area A! My investigation reveals that there is exactly one intersection in this image.

1

```palette Key,Color ,#fefefeff a,#fe4c4cff b,#0505feff c,#8080ffff d,#feadaeff e,#fe0809ff f,#c2c2ffff g,#4646ffff ``` ```image f d bc de b de bf e fb e b ed fb ed b ed cg ea b ea gc ae b ae bc de b de ea bf de ea fb e ea b e ee cb ed ee b ed ae cg ea ae b ea aegc ae aeb ae abf ae ab de be de fbe e bde e cbde ed b de ed cg de ea b e ea gc ed ea b ed ae bf ed ae b ed de bf ed de fb ed e b ea e cb ea ed b ea ed cg ea ed b ea ea gc ea ea b ee ae bf ee ae b ae de bf aede fb ae b cb b cg b gc b bf b bf fb b cb b gg b gc b bf b bf fb fgb b fgbbbgc cg fgbbbgc b fgbbbbc gg fcbbbbc b fcbbbbcf gc cbbbbcf b cbbbbcf bf cbbbbgf bbgf ```

I'm optimistic that I'll find some intersections in this image. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fd0808ff b,#0a0bfcff c,#f0f1eeff d,#6f78ecff e,#ed5149ff f,#ec978eff g,#b0d6b0ff ``` ```image c cccccccccccccccccccccccccccccdbbbdccccc cgggggggggggggggggggggggggggdbbaafbbbgggc cggggggggggggggggggggggggggbbeaggaggdbbdc cggggggggggggggggggggggggbbdaagggaeggggbbd cggggggggggggggggggggggdbdgaagggggagggggcdbbc cggggggggggggggggggggdbbggaeggggggeeggggc dbbd cgggggggggggggggggggbbgggaeggggggggaggggc cbbd cgggggggggggggggggbbggggafgggggggggeagggc dbbc cgggggggggggggggbbdggggaggggggggggggagggc cbbd cgggggggggggggdbdggggfagggggggggggggfaggc bbb cgggggggggggdbbgggggeagggggggggggggggafgc dbbc cggggggggggbbggggggeagggggggggggggggggagc cbbd cggggggggbbgggggggaaggggggggggggggggggaec dbbc cggggggbbdgggggggaaggggggggggggggggggggac dbbd cggggdbdggggggggaegggggggggggggggggggggee cbbd cggdbbgggggggggaeggggggggggggggggggggggga dbbc cgbbggggggggggafggggggggggggggggggggggggfa cbbd bbggggggggggfaggggggggggggggggggggggggggcac bbb bbdggggggggggfagggggggggggggggggggggggggggcfa db dbd cgggggggggeaggggggggggggggggggggggggggggc af d cggggggggeagggggggggggggggggggggggggggggc ca cgggggggaaggggggggggggggggggggggggggggggc af cggggggaegggggggggggggggggggggggggggggggc a cgggggaeggggggggggggggggggggggggggggggggc ee cggggafgggggggggggggggggggggggggggggggggc a cgggafggggggggggggggggggggggggggggggggggc fa cgfaggggggggggggggggggggggggggggggggggggc ac ceagggggggggggggggggggggggggggggggggggggc ca eaggggggggggggggggggggggggggggggggggggggc af aaccccccccccccccccccccccccccccccccccccccc ca aa af ae a af ee a fa ac ca af ca af a ee a fa ac ca af ca af a ee a fa ac ca af ca af a ee a fa ac ca af ca af a ee a fa ac ca af ca af a ee a ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0909feff c,#fec5c5ff d,#6360fbff e,#fc3e40ff f,#ff8282ff g,#b8b7feff ``` ```image dbbbbbbbd gbbbbaadbbbbdg gbbbbeaeaacgdbbbbg gdbbbdaaf fae gdbbbbdg dbbbdeaaf aac gbbbbd dbbbdgeaaf faa gdbb gbbbbg eaac aaf d gbbbbg caaac faa gdbbbd caaec eaf dbbbd caae caac dbbbdg faae eae gbbbbg faae caac gdbbbg faaf fae dbbbd eaaf aac dbbbd eaac faa gbbbdg ceaac aaf gbbbbg caaac faa gdbbbg caaec eaf dbbbd caae caac dbbbd faae eae gbbbdg faaf caac gbbbbg eaaf fae gdbbbg eaaf aac dbbbd eaac faa dbbbd ceaac aa gbbbdg caaac fa gbbbbg caae e gdbbbd faae c dbbbd faae dbbbdg faaf gbbbbg eaaf gbbbbg eaac gdbbbd eaac dbbbd caaac bbbdg caaec bbg caae g faae faaf faaf eaaf eaac ceaac caaac caae caae faae faaf eaaf eaaf eaac caaac caaec caae faae faae faaf eaaf ```  The lines within area A do not intersect. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#fe0707ff b,#0808feff c,#fec3c3ff d,#6464ffff e,#fe4748ff f,#ff8686ff g,#b9b9ffff ``` ```image g dbbbd gbbaacdbb bbea a gbbg bbgea af bbd dbd aa a dbb dbd ae ee gbbg gbb af a bbd bb ac fa dbbg bbg cac a gbbd dbd ca ca dbb gbd fa ac dbbg gbb ea a gbbd bbg aa af dbb bbg ae a gbbg dbd ae ee bbd gbb af a dbbg gbb ac fa gbbd bbg cac a bbd dbg fa ca db dbd ea ac d ea a aa af ae a af ee af a cac fa ca a fa ca ea ac ea a ae af ae a af ee a fa a ca ac a af a ee a fa a ca ac a af a ee a fa a ca ac a af a ee a fa ac ca ac a ef a ee a fa ac ca ac a ef a ee a ```

Let's examine this image for potential line intersections. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#444cf0ff b,#fc0c0bff c,#0606fdff d,#e66f64ff e,#9a9ff4ff f,#9cc298ff g,#b1d7b1ff ``` ```image ggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggggg ggggggggfgggggggggggggggggggggggggggggggggggggggg ggggggdbbbfgggggggggggggggggggggggggggggggggggggg ggggdbbggfbbfgggggggggggggggggggggggggggggggggggg ggdbbggggggfbbggggggggggggggggggggggggggggggggggg fbbggggggggggdbbggggggggggggggggggggggggggggggggg bbfgggggggggggggdbbggggggggggggggggggggggggggggggg bbggggggggggggggggggdbbggggggggggggggggggggggggggggg bbd gggggggggggggggggggdbdggggggggggggggggggggggggggg dbd gggggggggggggggggggggdbdggggggggggggggggggggggggg dbd gggggggggggggggggggggggbbdggggggggggggggggggggggg dbb gggggggggggggggggggggggggbbdggggggggggggggggggggg gbb gggggggggggggggggggggggggggbbdggggggggggggggggggg bb gggggggggggggggggggggggggggggbbfggggggggggggggggg bb gggggggggggggggggggggggggggggggbbfggggggggggggggg bbg ggggggggggggggggggggggggggggggggfbbfggggggggggggg bbd ggggggggggggggggggggggggggggggggggfbbgggggggggggg dbd ggggggggggggggggggggggggggggggggggggdbbgggggggggg dbd ggggggggcgggggggggggggggggggggggggggggdbbgggggggg dbb gggggggcacfgggggggggggggggggggggggggggggdbbgggggg gbb ggggggfcggcaggggggggggggggggggggggggggggggdbbgggg b ggggggcfgggccgggggggggggggggggggggggggggggggdbdgg gggggacgggggecagggggggggggggggggggggggggggggggbbd gggggcggggggggccggggggggggggggggggggggggggggggggbbd ggggaagggggggggacfggggggggggggggggggggggggggggggg bb ggggcggggggggggggcagggggggggggggggggggggggggggggg gggcegggggggggggggccggggggggggggggggggggggggggggg ggecgggggggggggggggecaggggggggggggggggggggggggggg ggcggggggggggggggggggccgggggggggggggggggggggggggg gacgggggggggggggggggggacfgggggggggggggggggggggggg gcggggggggggggggggggggggcaggggggggggggggggggggggg cagggggggggggggggggggggggacgggggggggggggggggggggg cgggggggggggggggggggggggggecagggggggggggggggggggg cegggggggggggggggggggggggggggccggggggggggggggggggg ecgggggggggggggggggggggggggggggacfggggggggggggggggg c gggggggggggggggggggggggggggggggcagggggggggggggggg aa ffffffffffffffffffffffffffffffffacfffffffffffffff c ece ce cc c ece ce ca ec ac c ece aa cc c ece ce ca c ac c ece ec cc c ec aa c ce ec c ec c aa c ce ec c aa c ce c ce ec c aa c ce c c ec c aa c ce c c ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#5555ffff b,#ff0505ff c,#0808ffff d,#ff4646ff e,#aeaeffff f,#ff8585ff g,#ffc8c8ff ``` ```image gg gdbbdg fbbbbbbdg fbbbdggdbbbdg fbbbdg gdbbbf fbbbbg gdbbbf gdbbbf gdbbbf gdbbbf gdbbbf gdbbbf gdbbbf gdbbbdg fbbbbf bbbdg fbbbdg bdg fbbbdg g fbbbdg fbbbdg fbbbdg gdbbbdg gdbbbdg gdbbbf gdbbbf gdbbbf gdbbbf fbbbbf fbbbbf fbbbdg fbbbdg fbbbdg fbbbdg gdbbbdg gdbbbdg gdbbbf gdbbbf gdbbbf gdbbbf gdbbbf ace fbbbbf eccca fbbbdg ccaccce fbbbdg aca eccce fbbbdg ecce acca fbbbdg aca eccce fbbbdg ecc eccca gdbbbdg cca accce gdbbbf ecc eccce gdbbb cce acca gdb aca eccce g ecce eccca aca accce ecc eccce cce acca acc eccce cce eacca aca accce ecce eccce aca acca ecc eccce cce acca acc accce cce eccce aca acca ecce eccce cca acca ecc accce cce eccce acc acca cce eccce ca acca c accce a eccce acca eccce ```  The evidence suggests that this is not an intersection point in area A. I've examined the entire image, and there are zero intersections present.

0

```palette Key,Color ,#fefefeff a,#3d3dffff b,#ff0a0aff c,#0505ffff d,#ff6262ff e,#c7c7ffff f,#8181ffff g,#ffb6b6ff ``` ```image g dbbbg gbb gbb gbb gbb gbb gbb bbg gbb bbg dbd bbg dbd dbd dbd dbd dbd gbb bbg gbb bbg gbb bbg bbg bbg bbg gbb bbg gbb dbd gbb dbd c gbb gbb cace dbb gbb ec ca dbd b ce ac dbd fc ecf dbd c cc bbd aa fce bb c ca ce ac ec ecf c cc fa fce c ca af ac c ecf ce cc ec fce c ca fa ac c ecf cf cc c fce ce ca fc ac c ecf aa cc c fce cf ca ec ac ce ecf fc cc c fc aa c cf ec c fc c af c ce ec c fa c af c ce ec c aa c cf ec ce fc c aa c cf ec ce ```

I'm approaching this image with caution. Intersections might be tricky to spot. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#fe0909ff b,#5c5efaff c,#fb6c6aff d,#aed4aeff e,#ffc7c7ff f,#0909feff g,#b5b6feff ``` ```image e caaaaa caaaace ca ecaaaace ae ecaaaace a ecaaaace ac ecaaaace a ecaaaace ea ace ae a cc a ea ac a ca ae ea ac a ca ae a ac a ea ae a cc a ea ae a ca a ea ac a ca ae ea ac a ca ae a f cc gfg a fg ea fg ae fb a fb ca ff a ff ea bf ac bf a bf ca gf ae gf ea fg ac fg a fb ca fb ddadddddddddd fb dddaddddddddd ff dddacdddddddd ff ddddadddddddd bf ddddcaddddddd bf dddddacdddddd gf ddddddadddddd gf ddddddcaddddd gfg dddddddaddddd fg ddddddddadddd fg ddddddddadddd fb ddddddddddddd fb ddddddbbfdddd ff gbbfffffffbbddddd ff gbbfffffffbggddddddddddddd bf ggbfffffffbbg ddddddddddddd bf ggbfffffffbbg bffffbgg ```  I'm focusing my attention on this specific region, area A.  ```palette Key,Color ,#fefefeff a,#ff0303ff b,#5454ffff c,#ff7676ff d,#adadffff e,#ffc0c0ff f,#0505ffff g,#ff3131ff ``` ```image gac eaae cag aac caa gac eaae cag aac eaae gag eaae cag gac eaae gag aae caa gac eaae cag gc dddbbbfb dddbbbffffffffffb fffffffffffffbbbddd ffffbbbddd d ```  I don't observe any intersections inside area A. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff0909ff b,#4747ffff c,#ff6868ff d,#8686ffff e,#ffc1c1ff f,#0606ffff g,#c7c7ffff ``` ```image e caaaaa caaaace ca caaaace ae ecaaaace a ecaaaace ac ecaaaace a ecaaaace ea ac ae a cc a ea ae a ca a ea ac a ca ae a ac a ea ae a cc a ea ae a ca a ea ac a ca ae ea ac a ca ae a f cc gfg a fg ea fd ae fd a fb ca fb a ff ea bf ac bf a df ca gf ae gfg ea gfg ac fg a fd ca fb ae fb a ff ac bf a bf ea df ae df a gf cc gfg a fg ea fd a fd fb gdbf fb gdbfffffffbdg ff ggdbffffffbbdg bf gdbbffffffbdgg bf gdbfffffffbdg dffffbdg ```

I'm curious to see if this image contains any intersection points. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#9ea1f9ff b,#fe0505ff c,#0707feff d,#f59a96ff e,#add5adff f,#f54d49ff g,#4d4ff7ff ``` ```image a c ca eeeeeeeeeeeeee ac eeeeeeeeeeeeee d c eeeeeeeeeeeeee dbbbbb gc eeeeeeeeeeeeee dbbbbf db c eeeeeeeeeeeeee dfbbbfd b cg eeeeeeeeeeeeee dfbbbfd b c eeeeeeeeeeeeee fbbbbd bd ca eeeeeeeeeefbbbbd b ac eeeeefbbbbfeee ff c eeebbfdeeeeeee b gg eeeeeeeeeeeeee db c eeeeeeeeeeeeee bd ca eeeeeeeeeeeeee b c eeeeeeeeeeeeee ff ca eeeeeeeeeeeeee b ac eeegeeeeeeeeee db c eeeggeeeeeeeee b gg eeeeceeeeeeeee b c ac bd ca ca b c c ff c ac b ac ca db c c bd gg gg b c c ff ca ac b c ca db c c b ac gc eeebeeeeeeeeceee c eeebdeeeeeeggeee c eeeebeeeeeeceeee cg eeeeffeeeecaeeee c eeeeebeeeeceeeee ac eeeeedbeeceeeeee ca eeeeeebdgceeeeee c eeeeeeebceeeeeee gg eeeeeeecgeeeeeee c eeeeeeecbeeeeeee ac eeeeeecafbeeeeee ca eeeeeaceebeeeeee c eeeeeceeedbeeeee ac eeeegceeeebdeeee ca eeeeceeeeeebeeee c eeecgeeeeeeffeee gg eeeceeeeeeeebeee c eecaeeeeeeeefbee ac ac b ca c b c gg bd gc c b c ca ff c c b cg ca db c ac bd ac c b ca gg ff c c b gg ca db c c b ac c b ca ac bd c c b ac gg ff ca c b c ca db gg c bd c c b ac ac ff ca c b c gg db gc c b cca b c bd b ff b ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#5d5dffff b,#ff0505ff c,#0303ffff d,#ffc1c1ff e,#b6b6ffff f,#ff4b4bff g,#ff8181ff ``` ```image ddg dgfbbbb dgfbbbbbbbfg dgfbbbbbbbffgd dffbbbbbbbfgd dbbbbfgd gd aa ecce aca cce ```  The evidence suggests that this is not an intersection point in area A. Okay, let's direct our attention to the next zone. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#9b9bffff b,#fd0608ff c,#0706fdff d,#ff9c9cff e,#eed6e7ff f,#ff5151ff g,#4f46f5ff ``` ```image fbf cca ebbe gcg fbf ecca ebbd gcg dbb acce bbf cca dbbe acc fbf ecca ebbd gcg fbb ecce bbd gcg dbbe acce fbf cca ebbe acc fbfecca ebbgcg dbcce ccg accbe ccgbf accebbd ecca fbb gcg bbd acce dbbe gcg fbf acc ebbe cca fbf acc ebbd ecca dbb gcg bbd acce dbbe gcg fbf acc ebbd cca fbb ```  As I suspected, there's an intersection within area B. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#8282ffff b,#ff0606ff c,#0504feff d,#ffaeaeff e,#c5c5ffff f,#ff5757ff g,#3e3dfdff ``` ```image a c ce ec dd c fbbbbb ag dbbbbfd db c dfbbbfd bd ga dfbbbfd b c dfbbbbd bd ce fbbbbf b ec dbbbbfd ff c bbfd b ag db c bd ca b c ff ce b ec a db c gg b gg c db c ec bd ca ca b ec c ff ce ac b ac ce db c c bd gg gg b c c bf ca ec b ec ca fb ce c b ac ag db c ce bd gg ec b c ga ff ca c b ec ac db c ce bdac c bc gg cg c cb ec cefb ca ec b c c db ac ag bd ce c b c ga ff gg c b c ce db ec ec bd ca c b c ag bf ag c b ce ga fb ec c b ga ce db c ec bd ac c b ce gg ff c c b gg ca db c ec b ec ce b ca ac bd c c b ac gg ff ce c b c ca db gg ec bd c ce b ec ac ff ca c b c gg fb ag c b cca db ec bd b ff b ```

I'm examining this image closely. My goal: find any and all intersections. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#0909feff b,#f85b58ff c,#afb0fdff d,#fcaeadff e,#fd0909ff f,#585afbff g,#add5aeff ``` ```image faa a fa ac caf ca aa a cac fa aa a fa ac af ca aa a cac fa aa a fac af af a fa a caf fa aa a cac af aa a fa ac caf fa aa a cac af aa a fac ac gggafggggggggggg ca ggggaagggggggggg a gggggcafgggggggg af gggggggaaggggggg a ggggggggfagggggg ac ggggggggggaagggg ca gggggggggggaaggg a ggggggggbeeeeggg ff gggbeeeebdgggggg a dbeeeebggggggggggg ac dbeeeedgggggggggggggggg ca dbeeeed gggggggggggggggg a beeeeb gggggggggggggggg ff deeeebd gggggggggggggggg a deeeebd gggggggggggggggg ac dbeeebd gggggggggggggggg ca eed gggggggggggggggg a be ff be a be ac de ca de a de ff e a e ac ed ca ed a ed ff eb a eb ac ee ca be a be ff be a de ac de de e e ed ed ed eb eb ee be be be de de de e e ed ed ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#0606feff b,#fd4547ff c,#adadffff d,#ffc3c3ff e,#fd0405ff f,#5247f3ff g,#ff8585ff ``` ```image caaac faaf caaac caaaf faafc caaac faaf caaac cfaaf faaac caaac faaf caaac faaf dgbfaf dgbeeeeeeeb dgbbeeeeeeebgd dggbeeeeeeebgd ddgbeeeeeeebgd beeeeeeebgdd eeebggd gd ```  Area A is clear of intersections, but the search continues. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff4f4fff c,#8888ffff d,#ffadadff e,#fe0506ff f,#4141ffff g,#ccccffff ``` ```image g faf a fa ac gac ga aa a cac cf aa a fag ac gaf ga fa ag gac cf aa a cag ac af ga fa ag gac ca aa a cag ac af ga fa ag gac ca aa a cac fc aa ga fag ag gaf ca fa a gac fc aa a cag ag af ca fa a deeee ff dbeeebd a dbeeebd ag dbeeebd ca dbeeeed a beeeeb ff deeeebd a dbeeebd ag dbeeebd ca eed a be ff be a be ag de ga de a de ff e a e ac ed ga ed a ed ff eb a eb ac eb ga be a be ff be a de ac de de e e ed ed ed eb eb eb be be be de de de e e ed ed ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#ee4e4bff b,#0b0bfdff c,#fe0707ff d,#747bf0ff e,#f99f9cff f,#97c698ff g,#b1d7b1ff ``` ```image e c c aa c c aa c ce ac c ce ac c ce ac c ce ec c ce ec c ce ec c ce ec c ce ec c ce ec c ce ec c ce ec c ca ec c ca ec db c bb ca dbd ec bb c bb aa gbd c bb c dbd aa bb c dbg c bb aa bb c dbd c bb aa dbd c bb fffffffffffffffffffffffffffffc bb ggggggggggggggggggggggggggggac gbd ggggggggggggggggggggggggggggcg bb gggggggggggggggggggggggggggcfg dbd ggggggggggggggggggggggggggacgg bb bbbbdd gggggggggggggggggggggggggacggg dbd dbbbbbdgggggggggggggggggggggaccagggg bb dbbbbbdfggggggggggggaccaggggggg bb ggggfdbbbbbdggggecccggggggggggdbd ggggggggggdbbbbbafgggggggggggbb gggggggggggaccaddbbbbdfggggdbd ggggggggaccaggggggggfdbbbbbbgg gggggeccagggggggggggggggggfggg ggfcccfggggggggggggggggggggggg accegggggggggggggggggggggggggg eccaggggggggggggggggggggggggggggg ecca gggggggggggggggggggggggggggggg ccc gggggggggggggggggggggggggggggg cce ffffffffffffffffffffffffffffff ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#fd6365ff b,#0605feff c,#ff0909ff d,#ababffff e,#730a95ff f,#5757ffff g,#fcb5b7ff ``` ```image gc cc acc gccg cca acc gccg cca acc gccg gacca gacccca ffdd gaccccca bbbbbbffd acccccag dffbbbbbbbbffdd gaccccag ddffbbbbbbbbfdd gaccccag ddffbbbbbbbbffd gaccccca ddfbbbbbbbbffddgacccccag ddffbbbbbbbbeeag db geeebbbbbbbbffd dfbb gacccccg ddfbbbbbbbbffdd fbbbd gacccccag ddffbbbbbbbbfdd dbbbf acccccag dffbbbbbbbbbbbd gaccccag ddfbbbbf gaccccag d gaccccca acccccag gaccccag gaccccag ccccca ccag g ```  Oh my, look at that! It's an intersection in area A! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#fa4044ff b,#0808feff c,#ff0505ff d,#afafffff e,#fe8383ff f,#5e5effff g,#fec7c8ff ``` ```image e gc cg aa c cg aa c cg aa c cg ec c cg ec c cg ec c cg ec c ce ec c ce ec c ce ec c ce ec c ce gc c ce gc c ce gc c ce gc db c bb aa fbd gc bb c fbd aa dbf gc bb c dbf aa bb gc fbd cg dbb aa bb gc dbf cg bb aa fbd gc bb cg fbd aa dbf c bb cg dbf aa bb bbbbfd ac fbd dbbbbbd ecce bb dfbbbbfd ecca bb dfbbbbfd gcca dbf dfbbbbag bb accedfbbbbfd fbd ecce fbbbbbb gcca gaccg acce ecce gcca gcccg ccg ```

This image looks interesting. I wonder if there are any intersections hidden in there? I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#cf6459ff b,#5e67d1ff c,#0a0af8ff d,#f90909ff e,#b1d7b1ff f,#a4cca4ff g,#f0f6efff ``` ```image gggg gffffffffffaaaaaaddddddddddddddddddddfffffffffffffffffffffffffffffffffffffffffffg dddddddddddddaaaaafffeeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffbfadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeffbbbbccccccccccccccccedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bbbcccccccccccccccbbbbffeeeeeeeeeeeebcfdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bbbbffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecfdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebcfeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcfeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeceeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcbeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedceeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcfeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedceeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcfeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadceeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdceeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbceeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaceeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbceeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadcbeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeceeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbceeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfcfeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdfceeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfcceeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdecfeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedafceeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedecbeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeceeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedebceeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadecbeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeceeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadebceeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfecbeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeceeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaebceeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeecfeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaefceefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeccefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeecffg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeefcfg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeecbg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeecg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedafg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadg gffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdg ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#ef3645ff b,#6d68faff c,#0c08faff d,#fe0405ff e,#b7b4fbff f,#fd7677ff g,#febabaff ``` ```image ggggfffffaaaddddddddd gfffffaaaddddddddddddddddddddddddaaaffffggggg gdg ddddddddddddddddaaaffffggggg fa aaffffggggg dg ddf eeeegdd eeebbbbcccccccccccccccccccccc gd eeebbbbbccccccccccccccccccccbbbbeee cb aa ccccccccccccbbbbeeee cb da bbbbeee ccedd eccfd ecefd bc df ccadf bcgdd cbfd ccfa ccbdg bcad cbd bcaf ccda bcddg ecad ccd eccd bcdf cad ccg cca ccd eca cc eca bca cca bcc ecf cc ecb cc ece gcb cce ccc ace gcc gcc cc fac dcb fcce dcc aace adcb gdcc fcc dac ddcb abc gdcb dace fdccb decc dfcb ddece gddcc adec gdgcb dgcc daccb fd bc df cb gd ece ddgcc adaece fd ce dg cc dfecc dd bc ad cb aa cc gdg cc ddg bc fdd cb dd cc af ce gd bc dd cce fd bcc fa ece df bc dd cb gd bc af cb da cb ddg cce fda bcc fd ece df bc df c dd b ad fa dg ddf gdd gdg aa gd d ```  Amazing! This area was hiding an intersection all along! There's one and only one intersection present in the image.

1

```palette Key,Color ,#fefefeff a,#f4333eff b,#5448f2ff c,#0706fdff d,#fe0303ff e,#a9a8fdff f,#f97b81ff g,#fec2c2ff ``` ```image ggg gggfffaaaddddddddddddddddad dddddddddddaaafffggg fa d eeefd eeeebbcccccccccccccbc dg eebbcccccccccccccbbbeee ecgd bbeee cedg c d ecaf ced caa bbd cfd cd bbd cdg ecd cbf cd eca ca ca bc ca cg bc cf c cb c fc cb gc ac gce dc bc ace dc fbb dc fac dcb gdc dec dce afc dec aace d c fdbc d ce gd c dgbb d c dfec d cb aa c d ec fa ce d c gd ec dg ce d c df bc d ce af c d bb fa c d ec gd cb dg c gd dg d af d fa d ```

I have a feeling there might be some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#fb0b0bff b,#0607fcff c,#e4796cff d,#8795e2ff e,#eff2efff f,#4649edff g,#b0d6b0ff ``` ```image c ea ae eeeeeeeeeeeeeeeeeeeeeeeca egggggggggggggggggggggggae eggggggggggggggggggggggace egggggggggggggggggggggcage egggggggggggggggggggggagge eggggggggggggggggggggacgge eggggggggggggggggggggaggge egggggggggggggggggggagggge eggggggggggggggggggaagggge eggggggggggggggggggaggggge egggggggggggggggggacggggge eggggggggggggggggcagggggge eggggggggggggggggagggggggfb egggggggggggggggacgggggfbf eggggggggggggggcaggggdbbge eggggggggggggggagggdbbggge egggggggggggggacggbbggggge egggggggggggggagbbdgggggge eggggggggggggafbfgggggggge egggggggggggfbfgggggggggge egggggggggdbbgggggggggggge eggggggggbbacgggggggggggge eggggggbbdcaggggggggggggge eggggbbdggagggggggggggggge eggfbfgggacgggggggggggggge edbfggggcaggggggggggggggge ebbggggggagggggggggggggggge ebbeggggggacgggggggggggggggge bbe eggggggaggggggggggggggggge fbd egggggagggggggggggggggggge dbf eggggcagggggggggggggggggge dbf eggggaggggggggggggggggggge ebb egggacggggggggggggggggggge ebbe eggcagggggggggggggggggggge bbd eggaggggggggggggggggggggge fbd egacggggggggggggggggggggge bf ecagggggggggggggggggggggge fb eaggggggggggggggggggggggge db aaggggggggggggggggggggggge db eaeeeeeeeeeeeeeeeeeeeeeeee eb ae be ca be a bd ac bf ca fb a fb ac db ea eb ae ebe ca be ea bd ae bf ca bf a fb ac db ca eeeeeeeeeeeeeeeeedbeee a egggggggggggggggggbgggg ac eggggggggggggggggbggggg ea egggggggggggggggbdggggg ae eggggggggggggggbfgggggg ca egggggggggggggbfggggggg ea eggggggggggggfbgggggggg ae egggggggggggfbggggggggg ca eggggggggggdbgggggggggg a eggggggggggbggggggggggg ac egggggggggbgggggggggggg eeccaaaaaaa eggggggggbdgggggcccaaaaaaaaaaccce egggcccabaaaaaaaacccggg eaaaaccbfgggggggggggggg egggggbbggggggggggggggg eggggfbgggggggggggggggg egggdbggggggggggggggggg eggdbgggggggggggggggggg eggbggggggggggggggggggg egbgggggggggggggggggggg ebdgggggggggggggggggggg egggggggggggggggggggggg egggggggggggggggggggggg egggggggggggggggggggggg ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#ff0202ff b,#0707feff c,#fc9c9eff d,#b1b0fdff e,#9a066aff f,#504ffeff g,#ff4747ff ``` ```image dbbf bbf fbb fbb fbbd fbbd dbbd dbbd dbbf bbf bbf fbb fbbd fbbd dbbd dbbd dbbf dbbf bbf fbb fbb fbbd ccccggggaaa fbbdccccggggaaaaaaaaaaaaaaa ccccgggebbeaaaaaaaaaaaaaggggcccc ggaaaaaaaaaaebbeaaggggcccc aaaaaaggggccbbf cc bbf bbf fbb fbbd fbbd dbbd dbbd dbbf bbf bbf fbb fbb fbbd dbbd fd ```  There is an intersection point visible in this close-up of area A. I'm ready to analyze the next area. I'm focusing my attention on this specific region, area B.  ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0706feff c,#fc797bff d,#a9a9feff e,#ffc0c0ff f,#544cf7ff g,#fb373aff ``` ```image ea ga caa eaae gag eaae aac cag eaae gac caa eaae gag caa eaac gag eaae aac cag eaae gac caa eaae gag caa f aac fbb gag dbbbf eaae dbbbfd aac dfbbbd cag dfbbbd eaae fbbbf gac fbbbf caa dbbbfd eaae dbbbbd gagdfbbbd caafbbbd afbbbf fbbbf dbbbfd dbbbbc dfbbbgg fbbbfaae fbbbf gac dbbbfd caa dbbbfd eaae dfbbbd gag dfbbbd eaae fbbbf aac fbbbf cag dbbbfd eaae bbbbd gac bbd caa d eaae gag caa eaac gag eaae aac cag eaae gac caa eaae gag caa aac gag eaae aac cag eaae gac caa aae ag ```  The lines cross each other within area B, forming an intersection. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#fe0303ff b,#0606feff c,#ff7c7cff d,#adadffff e,#ffbcbcff f,#4f4cfbff g,#fb363aff ``` ```image c a ae cg a ae ea a gc ea a gg a ae ca a fb ac fbf ea dbf a dbb gc bb ea bbd afbd fbf dbb bbae bbdca fbd a fbf ac dbf ea dbb a bb gg bbd a fbd ae fbf cg dbf a dbb ae bb ca bbd a fbd ac bf ea fb a fb gg db a b ae b cg bd a bd ae bf ea fb a fb gc db ea db a b gg bd a bd ae bf ca bf a fb ac db ea db a b gc b ea bd a bd gg bf a fb ae fb ca db a db ac b eccgaaaaaa bd eccgaaaaaaaaggcee eccgbgaaaaaaggcee aaaggcbf bf fb db db b b bd ```

This image might have some surprises. Let's look for intersections carefully. I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#f35754ff b,#0c0cfbff c,#fe0707ff d,#b0d6b0ff e,#ffaeaeff f,#7980efff g,#99c595ff ``` ```image e c ce c ce ec c ac c aa c ce c ce ec ce c c ac ca c c aa aa c c ce ec c c ce ec ec ce c c ec ce c c aa aa c gdcddddddddddddg ca ddacdddddddddddg c dddcdddddddddddg ce dddgcddddddddddg ec ddddcgdddddddddg c dddddcdddddddddg ec dddddcaddddddddg c bbbbffddddddcddddddddg aa dfbbbbbbfaadddddddg c ddddffbbbbbbfgdg aa dddddddacddffbbbbbbf c ddddddddcddddddg ffbbbbbbf ce ddddddddgcdddddg ffbbbb c dddddddddcgddddg fbf ce ddddddddddcddddg bb ec ddddddddddcadddg bb dgggggggggggcggg dddddddddddcdddg fbfgddddddddddacddd dddddddddddaaddg bbddddddddddcdddd ggggggggggggcggd bbddddddddaadddd ac gfbfddddddcddddd c gddbbddddcaddddd ec gdddbbdddcdddddd ce gddddfbfcgdddddd c gddddddbbddddddd ce gddddddcbbdddddd c gdddddacdgbfdddd aa gdddddcddddbbddd c gddddaadddddbbdd ac gddddcdddddddgbf c gdddcadddddddddbb ec gdddcdddddddddddfb ce gddcgddddddddddd bf c dggcgggggggggggg bb ce c fb c ec bf aa c bb c aa fb ac c bf c ca bb ec c fb ce ce bf c ec bb ce c fb c ec bf aa c bb c aa f aa c c aa ec c cce ec ```  I'm going to scrutinize area A for any signs of an intersection.  ```palette Key,Color ,#fefefeff a,#f73840ff b,#0808feff c,#fd0506ff d,#ababffff e,#ff8181ff f,#615efcff g,#ffc4c4ff ``` ```image gccg eca ccg ecc cce ecc ace gccg aca gccg eca ccg ecc cce ecc d ace bbbbffdd gccg bbbbbbbbbbbffdaca ddffbbbbbbbbbbbffdd ddffbbbbbbbbbbbffdd cafffbbbbbbbbbb eca ddffbbb cce d ecc ace gccg aca gccg eca ccg eca cce ecc ace gccg aca ```  There is an intersection point visible in this close-up of area A. I'm ready to analyze the next area. This close-up of area B is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#fb4a4dff b,#0706fdff c,#fe0707ff d,#e1cfedff e,#ff9797ff f,#4b47faff g,#9191ffff ``` ```image cce ecc cce eca dcce fd aca bbg dccd fbbf aca gbbfd eccd dbbbg cce dfbbf ecc gbbfd cce dbbbg ecc dfbbf dcce gbbbd aca dbbbgdccd fbbfca gbbbd abbbg eccfbbf cce gbbbd ecc dbbbg cce fbbf aca gbbbd dccd dbbbg aca fbbf eccd gbbbd aca dbbbg ecc fbb cce gb ecc d cce aca dcce aca ```  Aha! I've found an intersection inside area B! There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#fd4a4cff b,#0908feff c,#ff0606ff d,#bbbbffff e,#ff8f8fff f,#6666feff g,#ffcfcfff ``` ```image e c ce gc cg ec c ea c aa c ce gc cg gc cg c c ec ce c c aa aa c c ce ec c c cg gc gc cg cg c ec ce c c aa aa c c ce ec c c ce gc gc cg cg gc ec ce c bbbbfd c aa dfbbbbbbfaa c dfbbbbbbfd aa ec dfbbbbbffd c c dfbbbbbffd ce gc dfbbbb gc cg dbd cg gc bf ec ce bb c c dbd ea aa bb c c fb aa ec dbd c c bb ce gc fb gc cg dbdcg gc bb ce cfb c ec dbd aa c bb c aa fb ec c dbf c ce bb ec c fb cg cg dbf gc gc bb ce cg fb c ec dbf aa c bb c aa fb ea c bf c ce bb ec c fbd cg ce bf gc gc bb ce cg fbd c ec bf aa c bb c aa f aa c c aa ec c cce gc ```

I have an image in front of me. I need to determine if there are any intersection segments. I have a hunch that these areas might contain the intersections we're looking for.  ```palette Key,Color ,#fefefeff a,#6165f7ff b,#fe0707ff c,#090afeff d,#f3a09bff e,#babafeff f,#f64f4bff g,#acd4adff ``` ```image bbbd bbd bd dbbd bf fbb bf bbf bf dbbd bf ec dbb bb ecc fbb bb acc bbf fb gggggggggggggggg acc dbbd fbgggggggggggggggg aca dbb fbggggggggggggggg cca fbf fbgggggggggggggg cca bbf gfbgggggggggggggecce dbbd ggdbgggggggggggcce dbb gggdbgggggggaccg fbf ggggdbggggaccggg d ggggggbgaccggggg ggggggaccggggggg ggggccagbdgggggg ggccaggggbdggggg eccagggggggbdgggg eccgggggggggggbfggg ecce ggggggggggggbfgg acc gggggggggggggbfg acc ggggggggggggggbf aca gggggggggggggggbf ac ggggggggggggggggbb ec bb c fb ca fb ec fb c fb ca db ec db c db ca db ec b c b ca bd ec bd c bd ce b ac c ce ac c ce ac c ce ac c ce aa ec c ca ec c ca ec c ca ec c ca ec c ce ac c ce ac c ce ac c ce ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#7e7effff b,#fd0406ff c,#0303feff d,#ffa9a9ff e,#b3b3ffff f,#ff5c5cff g,#362df5ff ``` ```image d bd bbd fbbd fbbd fbbd fbbf dbbf dbbf dbbf eg dbbf egcc dbbf egccca dbbf agccca dbbf acccca dbbb acccga bbb acccge bbgcccge egcccge egcccgbbd egccca fbbd agccca fbbd acccca fbbd acccga fbbd acccge fbbd cccge fbbd cge fbbd e fbbf dbbf dbbf dbbf dbbf dbb db d ```  My investigation has led me to an intersection in area A! It was tricky, but I finally found one single intersection in the image.

1

```palette Key,Color ,#fefefeff a,#7878ffff b,#ff0707ff c,#0404ffff d,#ffaaaaff e,#bdbdffff f,#ff4f4fff g,#3837feff ``` ```image bbbd dbbd bd dbbd bf fbb bf bbf bf dbbd bf ec dbbd bb ecc fbb bb acc bbf fb acg dbbd fb gcg dbbd fb gca fbf fb cca bbf db ecce dbbd db ecce dbb db ecce fbf db acc d b acg gcg gca bd cca bd cce bd ecce bd ecce bf acc bf acg bf gcg bf gg bb ec bb c fb gg fb ec fb c fb ga db ec db c db ca db ec db c b ca bd ac bd c bd ca b ac c ce ac c ce ag c ce gg c ce gg ec c gg ec c ga ec c ca ec c ca ac c ce ac c ce ac c ce ag c ce ```

Time to put on my detective hat and find those intersection points! I wonder what's going on inside those areas? Perhaps intersections are hiding there.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#6169eeff c,#e7887cff d,#b0d6b0ff e,#0809fdff f,#eeedeeff g,#f23e37ff ``` ```image f beef eeb fe feeb be feef ef deef e beef be bee eb beb ef eeb fffgfffffefffffffffffffffffffffffffff feeb fddaacddddbeddddddddddddddddddddddddddf feed fdcadadddddebdddddddddddddddddddddddddf feef fdaddggdddddedddddddddddddddddddddddddf beef fggdddadddddbeddddddddddddddddddddddddf bee faddddcadddddebdddddddddddddddddddddddf beb acdddddacdddddedddddddddddddddddddddddf eeb cadddddddaddddddeddddddddddddddddddddddf eeb afdddddddgadddddbedddddddddddddddddddddf f gcfddddddddaddddddebddddddddddddddddddddf fa fdddddddddaddddddeddddddddddddddddddddf af fdddddddddggddddddedddddddddddddddddddf cg fddddddddddaddddddbeddddddddddddddddddf a fddddddddddcaddddddebdddddddddddddddddf ac fdddddddddddacddddddedddddddddddddddddf fa fddddddddddddaddddddbeddddddddddddddddf af fddddddddddddggddddddebdddddddddddddddf gg fdddddddddddddadddddddedddddddddddddddf a fddddddddddddddadddddddeddddddddddddddf ac fddddddddddddddagddddddbedddddddddddddf ca fdddddddddddddddadddddddebddddddddddddf a fdddddddddddddddcadddddddeddddddddddddf gc fddddddddddddddddacdddddddedddddddddddf fa fdddddddddddddddddadddddddeeddddddddddf af fdddddddddddddddddggdddddddeddddddddddf ca fddddddddddddddddddaddddddddedddddddddf a fdddddddddddddddddddadddddddbeddddddddf ac fdddddddddddddddddddacdddddddebdddddddf fa fddddddddddddddddddddaddddddddedddddddf af fddddddddddddddddddddcaddddddddeddddddf gg fdddddddddddddddddddddacdddddddbedddddf a fddddddddddddddddddddddaddddddddebddddf ac fddddddddddddddddddddddggddddddddeddddf ca fdddddddddddddddddddddddaddddddddbedddf a fdddddddddddddddddddddddcaddddddddebddf gg fddddddddddddddddddddddddacddddddddeddf fa fdddddddddddddddddddddddddadddddddddedf af fdddddddddddddddddddddddddcaddddddddbef ca fddddddddddddddddddddddddddadddddddddeb a fdddddddddddddddddddddddddddadddddddddef ac fdddddddddddddddddddddddddddggddddddddfe fa fddddddddddddddddddddddddddddaddddddddfbe af fddddddddddddddddddddddddddddcadddddddf ef cg fdddddddddddddddddddddddddddddacddddddf e a fddddddddddddddddddddddddddddddaddddddf be ac fddddddddddddddddddddddddddddddgadddddf eb fa fdddddddddddddddddddddddddddddddadddddf ef af fddddddddddddddddddddddddddddddddaddddf fe gg fddddddddddddddddddddddddddddddddggdddf be fa fdddddddddddddddddddddddddddddddddadddf eb af fdddddddddddddddddddddddddddddddddcaddf e ca fddddddddddddddddddddddddddddddddddacdf fe a fdddddddddddddddddddddddddddddddddddadf b gc fdddddddddddddddddddddddddddddddddddggf fa ddddddddddddddddddddddddddddddddddddaf af fa ca ac a a ac ca f af fa gg af fa ac a ca af fa gg a ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#ff0606ff b,#5d5dffff c,#ff8a8aff d,#b5b5ffff e,#0909feff f,#ffcacaff g,#ff4848ff ``` ```image caag deed faaaaf bee gaggag eeb faaf aac deed aac caaf beed caa gag bee faaf faaf eeb gag caa deed caaf aac bee aac faaf eeb gag gag deed aaf aac deed ag caaf bee a gag eeb c faaf deed caa bee aac beb faaf eeb gag deed faac bee caa eeb gag deed faaf deed caa bee aac eeb caaf deed gag bee faac eeb caa deeb gag deed faaf bee gag eeb aac deed caaf bee gag beb faac eeb caa deed aac bee faaf eeb gag deed aac deed caaf bee gag eeb faaf deed caa bee aac beb faaf eeb gag deed aac bee caa eeb gag deed faaf beed caa bee aac eeb faaf deed gag bee faac eeb caa deed gag deed faaf bee gag eeb aac deed caaf bee gag beb faac eeb caa deed aag bee faaf eeb gag deed aac deed caaf bee gag eeb faaf dee caa be aac e faaf d gag aac caa gag faaf caa aac faaf gag faac caa gag faaf gaa aac caaf gag faac caa gag faaf gag aac caaf gag faaf caa aac faa ga a ```  Based on this close-up, I can conclude that there's no intersection in area A. There's definitely not a single intersection on the image.

0

```palette Key,Color ,#fefefeff a,#ff0505ff b,#5656ffff c,#ff8181ff d,#b0b0ffff e,#0807ffff f,#ffc7c7ff g,#ff3d3dff ``` ```image bee eeb de eed bb deed ed deed e dee de bee eb beb e eeb g e eed aaf be deed fa a ed deed a gg e dee gg a de bee a fa eb beb af ac ed beb ca a e eeb a ca be d gc af eb fa fa e af gg de cg a be a fa ed ac ac e fa a de a cg eb gg af e a fa e af gc be ca a ed a ca e gc af de fa a bb af gg ed ca a e a fa de ac ac eb fa a e a ca de gg af be a a ed af gg e fa a de a fa eb gg ac ed a a e af ca be ca af ed a a e ac gg de fa a bb af fa ed cg ac e a a de ac cg eb fa af e a fa e gg gc be a a ed af ca e ca af de a a b gc gg fa a af fa ca ac a a ac ca af a gg a fa ac a ca af a gg a ```

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,#0606ffff b,#ff0a0aff c,#ff6969ff d,#8989ffff e,#c9c9ffff f,#4545ffff g,#ffbdbdff ``` ```image g bbbbbcg gb gbbbbbc b gcbbbbcg bg gcbbbbcg bc gcbbbbcg cb cbbbbbg b gcbbbbc bg gcbbbbcg bc gcbb cb b bg bc cb gb b bc cb gb b e bg fae cb a a gb ae da b da ff bg a ae bb ff a gb a ea b ae fa bg da ad bc a ae gb ad ea b ea da bg ae af bc da ae cb a a b ad ea bg ea ff bc a ad cb ff a gb a ea b ad da bc ea af cb a ae gb ff a b a da bc ae ff cb da ad c a a ff ea a fa ae ad da ae a a ad da ea af ae ae da a a ea ad fa ea ad a a ff ea a da ad af ea ae a a ff da a ff ae ad da a a ea ff fa a ad ae ae da a a da ad f ea ae ```

Here's an image. My task is to find intersections or areas where lines come close together. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#f44543ff b,#0606fdff c,#fe0505ff d,#4b4deeff e,#ec948bff f,#9da3f1ff g,#afd6afff ``` ```image ggggggggggggggggg ggggggggggggggggg ggggggggggggggggg f ggggggggggggggggg bbbbbdf ggggggggggggggggg db fdbbbdf ggggggggggggggggg fb fdbbbdf ggggggggggggggggg b fdbbbbf ggggggggggggggggg b fdbbbbf ggggggggggggcgggg bf fdbbbbdgggggggggggecgggg bd dbbbbdfgggggcggggg db ggggdbbbbdaaggggg fb gggggggggdbbbgggg b gggggggggcegggggg b ggggggggecggggggg bf ggggggggcgggggggg bd gggggggaagggggggg ce dd gggggggcggggggggg c fb ggggggceggggggggg aa fb ggggggcgggggggggg cgggggggggggggggg b gggggcggggggggggg aaggggggggggggggg bf ggggacggggggggggg cggggggggggggggg bf ggggcgggggggggggg ecggggggggggggggbd gggcagggggggggggg gcgggggggggggggdb gggcggggggggggggg gecgggggggggggfb ggceggggggggggggg ggceggggggggggbg gecgggggggggggggg gggcgggggggggbgg gcggggggggggggggg gggcegggggggbfgg aa ggggcggggggbdggg c ggggaaggggdbgggg ce gggggcgggdbggggg ec gggggaaggbgggggg c ggggggcgbggggggg aa ggggggebfggggggg c ggggggbdgggggggg ce gggggbbecggggggg c ggggdbggcegggggg c gggfbggggcgggggg ec gggbgggggceggggg c ggbfggggggcggggg aa gbdgggggggaagggg c bdgggggggggcgggg ce dbggggggggggaaggg ec fbggggggggggggcggg c b ggggggggggggecgg aa b gggggggggggggcgg c gggggggggggggecg ce ggggggggggggggce c gggggggggggggggc c gggggggggggggggce ea c c ae ce c c aa c c ec ec c c aa ec c c ce c ec ce c c aa ae c c ce aa c c c ec ec c c ec ae c c c c ce ec c c ae aa c c aa ce c ec ec c c aa ec c cce c ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fa373bff b,#0a0afeff c,#fe0303ff d,#6057f6ff e,#ff7a7aff f,#b8b8feff g,#ffc2c2ff ``` ```image e cg ca ccg eca ccg eca cce ecc ace gcc ace gccg f aca fb gccg bb eca bbb ccg dbb eca dbbf cce fbbf ecc fbbd ace bbd gcc bbb ace dbb gccg dbbf aca fbbf gccg fbbd eca fbbd ccg bbd eca dbb ccdbbf eabbf fbbd fbbdc bbdace bbb gccg dbb aca dbbf gccg fbbf eca fbbd ccg bbd eca bbb cce dbb ecc dbbf ace fbbf gcc fbbd ace fbbd gccg bbd aca dbb gccg dbbf eca bbf ccg bf eca d cce ecc ace gcc ace gcc ac gc e g ```  I observe an intersection inside area A. Let's shift our focus to the next area. Time to investigate area B up close.  ```palette Key,Color ,#fefefeff a,#fb3d40ff b,#0403fdff c,#fe0505ff d,#4944faff e,#ff8282ff f,#9c9cfeff g,#ffc5c5ff ``` ```image g gca ace f ecc bbbddf cce dbbbbbbbddff eca ffdbbbbbbbddff gccg ffdbbbbbbbddfaca ffdbbbbbbbbdff ffdbbbbbd ecc ffdf gccg aca gccg ace ecc cce aca gccg ace ecc cce eca gccg aca gccg cce ecc gccg aca gccg ace ecc cce eca gccg aca ecc cce ```  Area B contains an intersection. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#fd4748ff b,#0707feff c,#ff0505ff d,#5a56fbff e,#ff8c8cff f,#b2b2ffff g,#ffc9c9ff ``` ```image f bbbbbdf db fbbbbdf fb fdbbbdf b fdbbbbf b fdbbbbd c bf fdbbbbdf ec bd fdbbbbdf c db dbbbbdaa fb dbbb fb cg b gc bf c g bd aa ce db c c db ce aa fb gc c b cg aa bf ec c bf c ec bd ae c db c gc fb cg cg b ec c b c ce bf aa c bd c aa db ce c fb gc aa fb c c b aa ebf c bd ce dbgc gc db cg cg fb gc ec b ce c bf c aa bd ae c bd c cg db aa ec fb c c b ec aa b c c gc ce cg gc gc c ce ea c c ae ce c gc aa cg c ec ec c c aa gc c cg cg gc gc ce c c aa ae c c ce aa gc c cg ec ec c c gc ce cg c gc cg ce ec c c ae aa c c aa ce c gc ec c c aa gc c cce gc ```

I'm approaching this image with caution. Intersections might be tricky to spot. It's crucial to examine these regions more closely.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#5357f7ff c,#f8a19eff d,#abacfcff e,#acd4adff f,#f7504dff g,#0708feff ``` ```image c a ac ca a ff a ac ca a ff a ac ca a ff a ac ca a ff a ac ca a ff a ac a a fa a ac a a ca a af a a ca a af ggd eeeeeeeeeeeeaeee gb gg eeeeeeeeeeeaeeee dgd dgb eeeeeeeeeefaeeee gg bgeeeeeeeeeeaeeeee gb ggeeeeeeeafeeeee bg ebgbeeeeeaeeeeee gg eeeggeeeaceeeeee dgd eeeeeggfaeeeeeee bg eeeeeebgdeeeeeee gb eeeeeeffggeeeeee dgd eeeeeeaeebgbeeee gg eeeeeaceeeeggeee gb eeeecaeeeeeeegge bg eeeeaeeeeeeeeebgd gg eeeffeeeeeeeeeeegg dgd eeeaeeeeeeeeeeee dgb bg eeaceeeeeeeeeeee bgd gg efaeeeeeeeeeeeee gg dgd a bgd gg ff gg gb a dgb bgd ac bgd gg ca gg dgb a dgb bg ff gg gg a dgb gd ac bgd ca g a ff cfa cfaaaafc cfaaaaafc cfaaaaafc cfaaaafc cfaaaafc aaafc ```  I'm now examining the contents of area A in detail.  ```palette Key,Color ,#fefefeff a,#fd0507ff b,#5d58faff c,#ff8e8fff d,#ffcdcdff e,#b8b8feff f,#fe4747ff g,#0807fdff ``` ```image caa daac faf daad faf caa aac ge faf ggb daad bggge faf egggbe caa bgggb aac bggge faf egggb daad bggge faf ebggbecaa egggbac bggge dagggb fafbggge caad ebggge aac egggb caf bggge daad egggbe faf bgggb caad ebggge aac eggg caa bg daad e faf caad aac caa daad faf ```  The close-up clearly shows an intersection point in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#ff0505ff b,#3f3fffff c,#ffa6a6ff d,#8383ffff e,#c3c3feff f,#fe4d4eff g,#0505ffff ``` ```image c a ac ca a ff a ac ca a ff a ac ca a ff a ac ca a ff a ac ca a ff a ac ca a fa a ac a a ca a af a a ca a af bgd a gb gg ac dge egb ca gg bge a egd gg ff bg dgd a gg gg ac egd egbca bg bge gb ffgg dge a dgd gg ac bge gb ca egb dge a dgd gg ff gg egd a egb bg ac bge gb ca gg ege a dgd bg ff gg gb a egb dge ac bge gg ca gg egd a dgd bg ff gg gb a egb gd ac bge ca g a ff cfa cfaaaafc cfaaaaafc cfaaaaafc cfaaaafc cfaaaafc aaafc ```

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,#fd0606ff b,#0a0afcff c,#ef9890ff d,#6a70edff e,#f04e48ff f,#b1d7b2ff g,#95c698ff ``` ```image c a a ee a a ee a a ae ca a ae ca a ac ca a ac ca a ac ca a ac ca a ac ea a ac ea c a ea a ea ee ca a ca a a ee ac a ac a ae ee aa a ea a ea ee ca ggggggggggggggggggggggggggggggggaf ca fffffffffffffffffffffffffffffffafg a ffffffffffffffffffffffffffffffaefg acfffffffffffffffffffffffffffffcaffg aefffffffffffffffffdffffffffffafffg aeffffffffffffffdbbbffffffffaefffg faafffffffffffgbbffdbdfffffcaffffg ffaafffffffffbbffffffbbffffafffffg fffeaffffffdbdffffffffdbgfaefffffg ffffeafffgbbffffffffffffbbaffffffg fffffcafbbgffffffffffffffbbffffffg ffffffdbdfffffffffffffffaegbdffffg fffffbbfacfffffffffffffcafffbbfffg fffbbgfffaeffffffffffffafffffdbgfg fdbdffffffaeffffffffffacfffffffbbg bbfffffffffaaffffffffeafffffffffbb dbdfffffffffffaafffffffafffffffffffgbd fbd fffffffffffffeafffffacfffffffffffg bb bb ffffffffffffffeafffeaffffffffffffg dbd dbd fffffffffffffffcaffafffffffffffffg bb bb ffffffffffffffffgaacfffffffffffffg db bb ggggggggggggggggggeggggggggggggggf bd dbd bb bb fbd bb bb dbd dbf bb bb db bd bb dbd bb db bd bb fb ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fe0809ff b,#0504feff c,#fe5b5cff d,#807cfaff e,#3c38faff f,#c2c2feff g,#ffb3b3ff ``` ```image gaag aac caa gaag aac caa gaag g aac ac dd caa aac febbef gaag gaac ebbbbbbd aac gaac dbbbd ebbef caa gaaa febbef dbbbf gaag gaaag dbbbd febbe aac aaag dbbbd dbbbf caa caag febbef febbd gaag caag dbbbd dbbef aac caac fbbbe fbbbd caa caac febbef ebbeaag gaac dbbbd dbbbd gaac fbbbef cbbbd gaaebbbf gaadbbef dbbbd aag fbbbd febbeaag cac ebbef ebbbf caag gaa fbbbf dbbbd caag aag febbe febbef caac cac dbbbf dbbbd caac gaa febbd dbbbd gaac gaag dbbef febbef gaac cac fbbb dbbbd gaaa caa eb bbe gaaag gaag d ef aaag aac caag caa caag gaag caac aac caac caa gaac gaag gaac aac gaaa caa gaaaaag aaac ```  Eureka! There's definitely an intersection in area A! Two intersections have been found!

2

```palette Key,Color ,#fefefeff a,#ff0404ff b,#0a09feff c,#ff7e7eff d,#6461fcff e,#ff3b3bff f,#b8b8ffff g,#ffc0c0ff ``` ```image c ga ag ee ga a ee ga a ec ga a ac ga a ac ga a ac ca a ac ca a ag ca a ag ca a ag ce g a ea ag ea ee ca a ga ag gag ee ag ga ac ag ae ee ae ga ea a ea ee ca ga ga a gag ec ag ga ac d a ae dbbb ac ae fbd fbf ga ea bb bb a ea dbf dbf ac ca fbb bda ga bb bb dbd acfbd bb ag ca bb bbf ac a dbf fbd ae ac bb bb ae ca db dbf ea a fbd fbd ea ag bb bb ca ca fbf dbf ga a bb fbb gaag dbf bb e bd dbd bb bb fbd bbf bb fbd dbf bb bb db fbd bb fbf bb dbf bd bb fb ```

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,#f6403eff b,#0d0dfbff c,#f3847fff d,#7982ecff e,#fe0505ff f,#fac7cbff g,#aed4adff ``` ```image f cec e ec fe ea ef ea e ee ef ae e ae ac ce e ce ca fe e fef ca fef e ef fe ec ef ec e ea ef ea e ee ac ae e ae ca ce e ce bd ce fe bbb gggggggggggegggg fegggggggggggggggg dbbd ggggggggggcegggg feggggggggggggggg bbb ggggggggggeggggg gecggggggggggggg dbbd ggggggggggeggggg ggecgggggggggggg bbbgggggggggecggggg gggeaggggggggggg dbbdggggggegggggg ggggeagggggggggg ggbbbgggaagggggg gggggeagggggggdbbb ggggdbbdeggggggg ggggggeadbbbbbdd gggggggbbbgggggg ggdbbbbbbdgggggg gggggggegdbbdggg ddbbbbbdggggaegggggg ggggggceggggbbbg fdbbbbbd gggggggggaeggggg ggggggegggggggdbbd dbbbbbdf ggggggggggcegggg ggggggeggggggggg bbb ddbbbbdd gggggggggggceggg gggggegggggggggg dbbdbbbbbd gggggggggggggegg gggggegggggggggg d ggggggggggggggeg ggggecgggggggggg gggggggggggggggef ggggeggggggggggg ggggggggggggggggec ac e e ca e ce e fe ef e ec e ac e ca e ce e fe ef e ec e ac e ca e ce e fe ef e ec e ac e ca e fe e ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fd6061ff b,#2f26f5ff c,#b7b5fdff d,#6e6dfdff e,#fe090aff f,#ffaeaeff g,#0202feff ``` ```image eef fee aea fee aea eef aea eef aee eef gdc fee gggbd eef cdggggdc fee cbgggbd aea cdggggdc fee cbgggbdaea cdggggbc cbgggbd eedggggdc aee cbgggbd eef cdggggdc fee cbgggbd eef cdgggg fee cbg aea c fee aea eef aea eef aee eef fee ```  There's no doubt about it - this is an intersection in area A. Okay, let's direct our attention to the next zone. Let's zoom in on area B to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fd3536ff b,#5f5dfdff c,#ff7777ff d,#b0affdff e,#fe0404ff f,#ffbdbdff g,#0805fbff ``` ```image a eaf aeef aeef aeef aeef ceec ceec ceec ceec feea feea feea ddbb feea ddbbgggggg feeadbbgggggggggbbd ddbbggggggggbbdd ddbbggggggggggbd bbgggggggggbbdd aeef gggggbbdd aeef bdd ceec ceec ceec ceec feea feea feea feea feeaf aee ae a ```  I am surprised, so clear, an intersection has appeared in area B. I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#fd3e40ff b,#3733faff c,#ff8585ff d,#9090ffff e,#ff0505ff f,#f9cbd0ff g,#0202feff ``` ```image f cec e ec fe ea ef ea fe ee ef ae e ae ac ce e ce ca fe e fef ca fef e ef fe ec ef ec e ea ef ea e ee ac ae e ae ca ce e ce gd ce fe bgb e fef dggd fe fef bgb ef ef dggd e ec bgb ec ec dggd e ea bgb ac ea fdggg dggde eadbggggdf bgb dbggggbd e dggd dbggggbd ae ce bgb fdggggbd ce e dggd dbggggdf ce fe bgb dbggggbd fe ef dggbggggbd fef e d fef ec ef e ec ac e e ca e ce e fe ef e ec e ac e ca e ce e fe ef e ec e ac e ca e ce e fe ef e ec e ac e ca e ce e ```

I'm on the case! Let's uncover any intersections hidden in this image. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0607fcff b,#fb0b0aff c,#8c9cdfff d,#e2685fff e,#434ae8ff f,#98c895ff g,#b1d7b1ff ``` ```image c ee ac a a ca ae ac gfffafffffffffffffffffffffffffffffffffffffffffffffffff fgggcagggggggggggggggggggggggggggggggggggggggggggggggg fggggeaggggggggggggggggggggggggggggggggggggggggggggggg fgggggaegggggggggggggggggggggggggggggggggggggggggggggg fggggggacggggggggggggggggggggggggggggggggggggggggggggg fgggggggaggggggggggggggggggggggggggggggggggggggggggggg fgggggggcagggggggggggggggggggggggggggggggggggggggggggg fggggggggeaggggggggggggggggggggggggggggggggggggggggggg c fgggggggggacgggggggggggggggggggggggggggggggggggggggggg ea fggggggggggagggggggggggggggggggggggggggggggggggggggggg ae fggggggggggfaggggggggggggggggggggggggggggggggggggggggg ea fgggggggggggeagggggggggggggggggggggggggggggggggggggggg ae fggggggggggggaeggggggggggggggggggggggggggggggggggggggg cac fgggggggggggggacgggggggggggggggggggggggggggggggggggggg aa fggggggggggggggagggggggggggggggggggggggggggggggggggggg cac fggggggggggggggcaggggggggggggggggggggggggggggggggggggg aa fgggggggggggggggeagggggggggggggggggggggggggggggggggggg ae bbbbbbdfgggggggggggaeggggggggggggggggggggggggggggggggggg ea fggddbbbbbbdfgggggacgggggggggggggggggggggggggggggggggg ae fgggggggggddbbbbbbdagggggggggggggggggggggggggggggggggg ea fggggggggggggggggdddabbbbdfggggggggggggggggggggggggggg aa fgggggggggggggggggggeaggddbbbbbbdfgggggggggggggggggggg cac fggggggggggggggggggggaeggggggggddbbggggggggggggggggggg aa fgggggggggggggggggggggagggggggggggfbggggggggggggggggggcac fggggggggggggggggggggggagggggggggggdbggggggggggggggggaa fggggggggggggggggggggggeagggggggggggdbggggggggggggggae fgggggggggggggggggggggggaegggggggggggbbgggggggggggeagg fggggggggggggggggggggggggacgggggggggggbdgggggggggaaggg fgggggggggggggggggggggggggaggggggggggggbdggggggeacgggg fgggggggggggggggggggggggggcaggggggggggggbfggggaagggggg fggggggggggggggggggggggggggeaggggggggggggbggcacggggggg fgggggggggggggggggggggggggggaegggggggggggfbaaggggggggg fggggggggggggggggggggggggggggacggggggggggcaegggggggggg fgggggggggggggggggggggggggggggagggggggggeagdbggggggggg fgggggggggggggggggggggggggggggcagggggggaegggbbgggggggg fggggggggggggggggggggggggggggggeaggggeacgggggbbggggggg fgggggggggggggggggggggggggggggggaeggaaggggggggbdgggggg fggggggggggggggggggggggggggggggggaeacggggggggggbdggggg fgggggggggggggggggggggggggggggggggagggggggggggggbggggg fggggggggggggggggggggggggggggggggggggggggggggggggbgggg fggggggggggggggggggggggggggggggggggggggggggggggggfbggg fgggggggggggggggggggggggggggggggggggggggggggggggggdbgg fggggggggggggggggggggggggggggggggggggggggggggggggggdbg fgggggggggggggggggggggggggggggggggggggggggggggggggggbb fggggggggggggggggggggggggggggggggggggggggggggggggggggbd fgggggggggggggggggggggggggggggggggggggggggggggggggggggbg fggggggggggggggggggggggggggggggggggggggggggggggggggggg b fggggggggggggggggggggggggggggggggggggggggggggggggggggg b fggggggggggggggggggggggggggggggggggggggggggggggggggggg b fggggggggggggggggggggggggggggggggggggggggggggggggggggg db fggggggggggggggggggggggggggggggggggggggggggggggggggggg db fggggggggggggggggggggggggggggggggggggggggggggggggggggg bb gfffffffffffffffffffffffffffffffffffffffffffffffffffff bd bd b b b gb db bb bd bd bg b b gb db db bd bd bg b ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0607ff c,#8785fdff d,#fc5456ff e,#413dfaff f,#cbcbffff g,#feadaeff ``` ```image caaf eae faae faac caaf eaa eae faac faac caaf eaa aae faac caaf caaf eae faae faac caaf eaaf eae faac faac caaf eaa aae faac caaf caaf eae aae faac caaf eaaf dgg eae bbbbbbddggg faac dddbbbbbbbbbbddggg faac ggdddbbbbbbbbbbddggg caaf ggdddbbbbbbbbbbddggg eaa ggdddbbbbbbbbbbdddaae gggddbbbbbbbaaedddgg gggdddaabbbbbbbdddgg caagddbbbbbbbbbbdddgg eae gggddbbbbbbbbbbbddgg aae ggddbbbbbbbbbb faac ggddbbbb caaf bbd eaaf gbbd eae gbbd faac gbbg fe faac dbbg caa caaf dbbg feaae eaa dbb caaac eae dbb eaaef faac bbd faaac faaf gbbd caaef caaf gbbd feaac eae gbbg caaaf aae gbbg feaae faac dbbg caaac caaf dbb eaaef caaf dbb faaac eae bbd eaaef faae bbdaaac faac geaaaf caaf feaaeg eaa caaacbbg eae feaae dbbg faac caaac dbbg faac eaaef dbb caaf faaac bbb eae caaef bbd aae feaac gbbd faac caaaf gbbd caaf feaae gbbg caacaaac dbbg eaaaef dbbg faac dbb bbb bbd gbbd gbbd gbbg gbbg dbbg dbb dbb bbd bb gb g ```  Amazing! This area was hiding an intersection all along! The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0808ff c,#7b7bffff d,#fb5b5eff e,#3a37fbff f,#c3c3ffff g,#ffb7b7ff ``` ```image f ee ac a fa ca ae af a fa ea ac af a fa ee f ac ea a fae fa eaf ca ae ee caf af aa a fac fa aa g ca fac bbbbbdgg ac ea gdbbbbbddg af ae gdbbbbbdda caf gddabbbbdg aa ee gdbbbbbbdg caf ac gdbb aa af gb fac fa gb ea ca db fae ee bb eaf af bd ae a bg caf fa bg aa ca b fac ac gbea af fae a ea db fa ae db ee caf bd ac aa bd acaf bg a b b gb db db bd bd bg bg b gb gb db bb bd bg bg b gb gb db db bd bd bg b b gb db db bd bd bg b ```

Here's an image. My task is to find intersections or areas where lines come close together. There are 1 regions I'd like to highlight in the image.  ```palette Key,Color ,#fefefeff a,#fb0a08ff b,#0a0afbff c,#8291e0ff d,#f0f5efff e,#a6cca4ff f,#da675dff g,#b2d7b1ff ``` ```image d bc b bc b bc b bc b bc b bc b bc b bc b bc b bc b bc b bc a b ga bc af b a bc fa b ag bc a db fa bc ad db da bc fa db ad bc da db ff bc ad db da bc a af db af addddddddbcdddddddddddddddddddddddddddddddddddddddddddddddddddddddaf gaeeeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaf dafgggggggbcgggggggggggggggggggggggggggggggggggggggggggggggggggeaee deagggggggebggggggggggggggggggggggggggggggggggggggggggggggggggeaege defagggggggbcggggggggggggggggggggggggggggggggggggggggggggggggfaegge degafggggggebgggggggggggggggggggggggggggggggggggggggggggggggfagggge deggagggggggbcgggggggggggggggggggggggggggggggggggggggggggggfaggggge deggfaggggggebggggggggggggggggggggggggggggggggggggggggggggaagggggge degggafggggggbcggggggggggggggggggggggggggggggggggggggggggaaggggggge deggggaggggggebgggggggggggggggggggggggggggggggggggggggggaagggggggge deggggfaggggggbcgggggggggggggggggggggggggggggggggggggggafgggggggggebb degggggaegggggebggggggggggggggggggggggggggggggggggggggafgggggggggbbc degggggeaggggggbcggggggggggggggggggggggggggggggggggggafggggggggbbce deggggggfagggggebggggggggggggggggggggggggggggggggggeaeggggggebbcgge degggggggaegggggbcggggggggggggggggggggggggggggggggeaegggggebbcgggge degggggggeagggggebgggggggggggggggggggggggggggggggfaeggggebbcgggggge deggggggggafgggggbcgggggggggggggggggggggggggggggfaggggcbbcgggggggge degggggggggaeggggebggggggggggggggggggggggggggggfagggcbbegggggggggge degggggggggeagggggbcggggggggggggggggggggggggggaaggcbbegggggggggggge deggggggggggafggggebgggggggggggggggggggggggggaagcbbegggggggggggggge degggggggggggagggggbcgggggggggggggggggggggggaacbbegggggggggggggggge degggggggggggfaggggebggggggggggggggggggggggafbbggggggggggggggggggge deggggggggggggafggggbcggggggggggggggggggggfbbggggggggggggggggggggge degggggggggggggaggggebggggggggggggggggggcbbggggggggggggggggggggggge degggggggggggggfaggggbcgggggggggggggggcbbegggggggggggggggggggggggge deggggggggggggggafgggebgggggggggggggbbbaeggggggggggggggggggggggggge degggggggggggggggaggggbcggggggggggbbbfaegggggggggggggggggggggggggge degggggggggggggggfagggebggggggggbbcgfagggggggggggggggggggggggggggge deggggggggggggggggafgggbcgggggbbcggfaggggggggggggggggggggggggggggge degggggggggggggggggagggebgggbbcgggaagggggggggggggggggggggggggggggge degggggggggggggggggfagggbcbbcggggaaggggggggggggggggggggggggggggggge deggggggggggggggggggaeggebcgggggaagggggggggggggggggggggggggggggggge deggggggggggggggggggeagggggggggafggggggggggggggggggggggggggggggggge degggggggggggggggggggfagggggggafgggggggggggggggggggggggggggggggggge deggggggggggggggggggggaegggggafggggggggggggggggggggggggggggggggggge deggggggggggggggggggggeagggeaegggggggggggggggggggggggggggggggggggge degggggggggggggggggggggafgeaeggggggggggggggggggggggggggggggggggggge deggggggggggggggggggggggafaegggggggggggggggggggggggggggggggggggggge deeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ```  This is a magnified view of the region A.  ```palette Key,Color ,#fefefeff a,#f83f45ff b,#0a09feff c,#b1affcff d,#fec9c9ff e,#fe0606ff f,#fe898aff g,#6260fdff ``` ```image ef bb ae eed bbc aee aea gbb eed ded gbb deed aa bbc deee ef gbb deea eed bbc deea aea gbb eea deef bb fea aea bc aee deef gb aeef fee bc aeed ae bb aeed ded bbc deed fe gbb deed eed gbb deea fee bbc feea eef gbb feea c deed bbc eef cbb aea gbb aef cbbb dee gb aee gbbbb ae bc aeed bbbbc ef gb deeed gbbbc fed bc eeed gbbbc ea bb dea gbbbgc eef bbc dea gbbgc aea bbc feea cgbbbg deef gbb feef cbbbgc fee bbc eef cgbbgc aea gbb aef cgbbb dee bb aed gbbbg fe gb aee cbbbg ded gg deeed bbbbg ee bc eeadcbbbg eef bg deacbbbg deed bbc fegbbbbc aea gbg feabbbc eef bbc fabbbc aea bbc bbbbc ee gbg gbbbc fed bbc gbbbad aa gbg gbbbbad def bb cgbbgaee eed gb cgbbgceea deef gg cbbbgc eea fee bc cgbbg fea aea bg cgbbb fef dee bbc bbbbg aee fe gbg cbbbg aeef ded gbg cbbbbg aeed ee bbccbbbg deed eef gbbbbc deed deed bbb dee aea cc deea eef feea aea eef ee aef fed aef aa aee def aeed eed deeed deef dea feefea aeee ```  Area A contains an intersection. I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#ff3939ff b,#0908feff c,#a6a6ffff d,#fec8c8ff e,#ff0404ff f,#ff8282ff g,#5f4debff ``` ```image c bc b bc b bc b bc b bc b bc b bc b bc b bc b bc b bc b bc e b fe bc ef b e bc fe b ed bc e b fe bc ed b e bc aa b ed bc de b aa bc e b de bc e af b ea e bc ef de b ef ef bc ed e b ded fe bc de ef b fe e bc fe fe b ae ed bc ae e b ea fa bc ea bb ed b ef bbc e bc ef bbc aa b ed bbc ed bc ded bbc de b de bbc aa bc fe cbbc e b fe cbb de bc ae cbb af b ae cbb e bc eacbb de b egbb ef bc gbb e b gbb fe bc gbbd ef b gbged e bc gbgde fe b gbg fe ed bc gbg fe e b bbg ae fa bcbbc ae ed bc ea e ea aa ef ed ef de ed aa ded efe de ```

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,#4347f6ff b,#f06862ff c,#0606feff d,#add5aeff e,#9fa0fcff f,#fd0809ff g,#febebeff ``` ```image g bfffbg bffffg gffffb gbfffbg gffffb gbfffbg bffffg gbfffb gbf bf fg f bf fg f bf fg f bf fg f bf fg f bf fg f bf fg f bf fg f bb fg gf bb f gf fb f gf fb f gf fb f gf dfbddddddddddddd ddfddddddddddddd a ddbfdddddddddddd cc dddfbddddddddddace ddddfdddddddddcc ddddbfddddddacdd dddddfbddddcaddd ddddddfddacddddd ddddddbfcadddddd ca ddddddacbddddddd ace dddddcadfddddddd cc dddccdddbfdddddd eca decadddddfbddddd ace ccddddddddfddddd cc ecadddddddddbfdddd eca cc dddddddddddfbddd ace ece ddddddddddddfddd cc cc ddddddddddddbfdd cc ece dddddddddddddfbd eca cc f ace ece bf cc cc fg eca ece f ace cc bf cc ece fg eca cc f ace ace g cc cc cc ace eca ca ac ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#463df5ff b,#ff4c4cff c,#0505feff d,#fd9c9dff e,#e8d6edff f,#fe0607ff g,#8f8cfbff ``` ```image dffd bff ffb dffd bff ffb dffe bff ffb e dffe gc bff eacc ffd gcccg dffe eaccae bfb gcccg ffd eaccae dffe gcccg bfb eaccae effd gcccg dffaccae acccg eaccad gcccgffe eaccae bfb gcccg effd eaccae dffe gcccg bfb eccca effd gcccg dffe eccca bfb ccce effd cg dffe e bfb effd dffe bfb effd dffe bfb ```  The evidence is clear: this is an intersection in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#6565ffff b,#ff3939ff c,#0a0affff d,#fe797aff e,#bdbdffff f,#fe0404ff g,#ffbdbdff ``` ```image d bfffdg dfffbg gbfffd gdfffbg dbfffd gbfffdg dfffbg gbfffd gdf df fg f df fg f df fg f df fg f db fg f db fg f bb fg f bb fg f bb fg gf bb f gf bb f gf bb f gf bd f gf bd f a gf cc fd ace f cc gf ace fd ecc f ace gfca ca ccd cce eca f cc cc gf eca eca fd ace cc f cc eca df ecc cc fd aca eca f cce cc df ecc eca fg aca cc f cce ace df cc cc fg eca ace f ace cc df cc ace fg ecc cc f aca ace g cce cc ecc ace aca cc cce ```

I'm analyzing this image to identify any points where lines intersect. These zones indicate regions where lines appear to be in close proximity.  ```palette Key,Color ,#fefefeff a,#df695aff b,#0605fcff c,#353beaff d,#fb0a08ff e,#b1d7b1ff f,#7280d4ff g,#9dc399ff ``` ```image f cb cb bc bc bf be b fb fb cb bb bc bf bf ebe eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbgg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaggeeeeeeeeeeeeebfeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaaadddddddddddaafbgeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeeeeeeeeegaafbdddddddddddaae eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeeeecbeeeeeeeeeegaaadddddddddddaaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeeeeeeecbeeeeeeeeeeeeeg eaaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeeeeeeeeeeebbeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeeeeeeeeebceeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeeeeeeebfeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeebfeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeeeegbgeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeeeeefbeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeefbeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeeecbeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeegdeeeeeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeedgeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeedaeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeadeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeedeeeeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeedaeeeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeegdeeeeegbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeedeeeeegbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeedaeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeegdeeeeebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeedgeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeadeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeedeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeedaeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeadeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeedeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeedaeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeadeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeedeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeedaefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeegdefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeedggbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeadebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeedebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeedgbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeadbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeedbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeedbceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeabceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeefbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeedgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ```  Time to investigate area A up close.  ```palette Key,Color ,#fefefeff a,#f84b51ff b,#0605fdff c,#4841f7ff d,#fe0606ff e,#fe9293ff f,#9795fdff g,#ecd3e5ff ``` ```image gbcg fbb fbbc bbf cbf cbf gbbb fbcg fbc fbb fbbf bbf eaaaeeegg gcbf ddddddddddddaaeeeegg gbbg daeeaaadddddddddddddddaaaaeebbb ad gggeeaaaadddddddddbbbddddaaeeeegg dd fbc gggeeeaaaddddddd edd cbb ggee gdde cbbf ada cbbf dde gbbg da fbbg edg fbbc de bbc gdd cbf dda cbb edd gcbbg dde bbbg da gbcg gde fbb ad fbbc edd bbf gdde cbf ddg gbbb de gbbbg ad bbc gdg fbc dd fbc gdde cbbf ada bbf eddg fbf dde fbf edg fbbf de fbbf ad bbc gdd gbc dda gbc dde cbc da cbbg edg bbg gde cbg edd cbb gdde fbbf ada bbf eddg fbf dde fbf gdg gbbc da gbbc ed bbc gdd bc eddg cbg dde cbb da cbbg edg bbf ad fbf gdd fbb dda fbbf edd fbbc gdde bbc ddg gbc gde gbb aa cbb edg cbbg ada cbg eddg cbf dde fbb dd fbbf gdg fbbf ed fbc gdd gbc ada gbb eddggbbc ada bbg ddg cbg de cbg ad cbb gdgcbbf eddbbf gddfbf adabf dabb abbc edbc gdbc abb cbbg cbbg bbf fba fba fbbc bbcd ccde ada ee ```  Incredible, there's actually an intersection in area A! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#ff4646ff b,#0807fdff c,#4f4bfbff d,#fe0404ff e,#fd9395ff f,#9c9cffff g,#ebd6e9ff ``` ```image f cb bb bc bc bf gbf gbg fb cb cb bb bc bc bf gbg fb fb cb bb bc bc bf aeeeg gbf daeaadddddddddaaeebg gd geecbddddddddddaaeeg d cb geeaadddddddddaaee aa cb geeea gd bb dg bc aa bc d bf de gbg ed fb d fb de cb ed bb d bc aa bc gd bf dg bf aa bf d bc dg bc ed bc d cb de cb ed cb d fb de fb gd gb d gb aa bg gd bg dg bf aa bf d bc de bc ed bc d cb de cb ed cb d fb aa fb gd gb dggb aa bg d bg dgbf edbf dbf dbc ebc bb bb cb fb fba cd dg ```

I'm approaching this image with caution. Intersections might be tricky to spot. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0707ffff c,#ff8787ff d,#ffc8c8ff e,#a5a5ffff f,#4e4effff g,#ff4242ff ``` ```image ebbbf ebbf bb ebbf fb ebbf eb ebbbe be ebbbe bf ebbbe bb fbbe fb fbbe eb fbbe be fbbe bf fbbf bb bf fb eb be bf bb fb eb da be aga bf gg ac bb da a fb ad da eb cg gg be a ad bf ac a bb ca ca fb a gg eb gc ad be da a bf ad ca bb gg ac fb a a eb ad da be ca ga bf a ac b ac a da da a gg gg ad a a ad ca ca ag a ad ac a da ca a ac gg a a da ad ga ca ac a a ac da da gg a ad gg a da ca ad ag cg ad a a ac ca ca ac a a ac da da ga ad ac gg a a da ad gg ca ad a a ac ca da ag a ad gg a c ca ac 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,#4145f5ff b,#fe0808ff c,#0405feff d,#f45d58ff e,#9197f3ff f,#ffacacff g,#aed5aeff ``` ```image f e bb ae fbd c bb ce fbd c bb c bd c db c bd ec dbf c bb ea dbf c bb aa fbf c bb ae fbf c bb ce fbd c bb c bd ec db gcggggggggggggggggg bd gecgggggggggggggggg dbf ggcgggggggggggggggg bb ggaaggggggggggggggg dbf gggcggggggggggggggg bb gggaagggggggggggggg fbf ggggcgggggggggggggg bb ggggceggggggggggggg fbf gggggcggggggggggggg bb gggggcegggggggggggg dbd ggggggcgggggggggggg bbd ggggggcgggggggggggg fbbf ggggggecggggggggggg dbb gggggggcggggggggggbbd gggggggaaggggggdbbg ggggggggcggggbbdggg ggggggggaadbbdggggg ggggggggdcbgggggggg ggggggbbdaagggggggg gggdbbggggcgggggggg gbbdggggggceggggggg fbbdgggggggggcggggggg dbb gggggggggggcggggggg fbbd gggggggggggecgggggg bbf ggggggggggggcgggggg c ggggggggggggecggggg ec gggggggggggggcggggg ac gggggggggggggaagggg ca ggggggggggggggcgggg ece ggggggggggggggaaggg ac gggggggggggggggcggg cc gggggggggggggggcegg ca ggggggggggggggggcgg ec ggggggggggggggggceg ac gggggggggggggggggcg ca c ce ec ec c cc ea ca c ece aa ac c cc ae ce c ec ce ac c ca c ce c ec c cc ec ca c ece ea ac c cc aa ce c ec ae ac c ca cece c ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#3e39f9ff b,#fd0607ff c,#0404feff d,#ff5353ff e,#8080ffff f,#ffa8a8ff g,#c1c1ffff ``` ```image ace gcc cce eca ccg eca ccg eca gccg ace gcc ace gcc ace ecc cce eca ccg eca ccg eca gccg ace gcc ace gcc ace ecc fd ccg fdbb eca dbbbbd ccg fdbbbbf eca fbbbbdf gccg fdbbbbd aca fdbbbdf gccbbbbdf fdacabf fbbbbcc fdbbbbd ace fdbbbdf gcc dbbbbdf cce fdbbbbf eca fbbbbdf ccg dbbbbd eca bbdf ccg df eca gccg ace gcc ace gcc ace ecc ccg eca ccg eca ccg aca gccg ace gcc ace gcc cce eca ccg eca ccg eca gccg ```  The close-up clearly shows an intersection point in area A. I have found one intersection!

1

```palette Key,Color ,#fefefeff a,#4343ffff b,#ff0808ff c,#0505ffff d,#ff5e5eff e,#8b8bffff f,#ffb1b1ff g,#cdcdffff ``` ```image f e bb ae fbd c bb ce fbd c bb cg bd gc db c bd ec dbf c bb ea dbf c bb aa fbf c bb ae fbd c bb cg fbd gc bb cg fbd gc db c bd ec dbf c bb ea dbf c bb ae fbf c bb ce fbf c bb cg dbd gc bbd c fbbf ec dbb c fbbd ea dbbf c bbd aafbbf dcb fbbdae dbbf c bbd cg fbbf c dbb cg fbbd gc bbf c gc ec ecg c ac ea ca c gce ae ac c cc ce ca c ecg cg ac gc ca cg gce gc ecg c cc ea ca c gcg aa ac c cc ae ce c ecg ce ac c ca cg gce gc ec c cc ec ca c gcg ea ac c cc aa ce c ecg ae ac c ca cece gc ```

Based on a first glance, I suspect there could be intersection regions here. I'd describe these as 'hotspots' for potential intersections.  ```palette Key,Color ,#fefefeff a,#090afcff b,#fe0505ff c,#ed8c84ff d,#696eedff e,#f34544ff f,#f0efedff g,#afd5afff ``` ```image f bc fb bf fb bf cb b ce b ec ggggggggggggggggggg b fgggggggggggggggggggf bc fgggggggggggggggggggf fb fgggggggggggggggggggf bf fgggggggggggggggggggf fb fgggggggggggggggbgggf bf fggggggggggggggeegggf cb fggggggggggggggbggggf b fgggggggggggggbgggggf ce fggggggggggggbegggggf b fgggggggggggcbgaagggf ec fgggggggggggeaadggggf b fgggggggggaaagggggggf bc fggggggdaadbggggggggf fb fggggaaaggbgggggggggf bf fgdaadgggbegggggggggf fb faaagggggcbggggggggggf bf daadgggggggbgggggggggggf cb aaaf fggggggbcgggggggggggf b daad fgggggcbggggggggggggf ce daaf fgggggbgggggggggggggf b gaad fggggbcgggggggggggggf ec daaf fgggcbggggggggggggggf b faad fgggbgggggggggggggggf bc daaf fggbcgggggggggggggggf fb faad fgebggggggggggggggggf fbfffffffffffff daaf fgbgggggggggggggggggf fgcbggggggggggggf aad fbcgggggggggggggggggf fggbggggggggggggf gag ebggggggggggggggggggf fggcbgggggggggggf da fbfffffffffffffffffff fgggbgggggggggggf aa bf fgggeegggggggggggad ee fggggbgggggggggdaf fb fggggeegggggggaaf bf fgggggbggggggadgf ee fgggggbcgggdagggf fb fggggggbggaaggggf bf fggggggbgadgggggf ee fggggggdagggggggf fb fgggggaabgggggggf bf fggggadgcbggggggf ee fggdaggggbggggggf fb fgaagggggeegggggf bf faagggggggbgggggf bc fadggggggggeeggggf cb dafggggggggggbggggf b aa fggggggggggbcgggf bc fad fgggggggggggbgggf cb daf fgggggggggggbgggf b aa fgggggggggggcbggf bc fad fggggggggggggbggf cb daf ffffffffffffcbf b aa b bc fad ee cb daf b b d ec bc b cb bc fb fb bf bf eb fb fb b bf ce ee b fb ee bf b ee ec fb b bf bbe fb ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#0c0bfdff b,#fe0303ff c,#fe7c7dff d,#c2c2ffff e,#fc3639ff f,#fec3c4ff g,#6864fbff ``` ```image fbbf ebc fbb ebc fbb ebc cbe bbf cbe bbf cbe fbbf ebc g fbb daa ebc daaa fbb gaag ebc daaag cbe daaad bbf gaag cbe daaag bbf daaad cbe gaaad fbbfgaag eeaaad gaaad gaaac daaagbb gaaad ebc gaag cbe daaag bbf daaad cbe gaag bbf daaag cbe daaad fbbf gaag ebc aaag fbb aad ebc ad fbb ebc cbe bbf cbe bbf cbe fbbf ebc fbb ebc ```  Eureka! There's definitely an intersection in area A! Time for a closer look at another area. I wonder what we'll find inside area B?  ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0405ff c,#fa7f84ff d,#a2a0fcff e,#fd3a3cff f,#ffc8c8ff g,#4f40f0ff ``` ```image cf cbb fbbc ebe cbbf fbbc ebe cbb fbbf ebe cbb dgd fbbf daaaa ebcgaaaad cgaaaagd dgaaaad daaaagd dgaaaage daaaagdbbf dgaaaag bbc daaaagd ebe dgaaaagd fbbf dgaaagd bbc dgaaaagd ebe aaagd fbbf agd bbc ebe cbbf fbbc ebe cbbf fbbc ebe cbbf fbbc ebe cbb fbbc ebe cbb fbbf ebe cbb fbbf ebc cbb fbbf bbc be ```  Yes! I knew it! There's an intersection right here in area B! My analysis indicates that there are two intersections in this image.

2

```palette Key,Color ,#fefefeff a,#0707feff b,#ff0505ff c,#ff8888ff d,#a4a2fdff e,#fb4144ff f,#fec9caff g,#5251fdff ``` ```image f bc b bf fb b cb b ce b ec b bc b bf fb b b ee cb fb b b ce ee b fb aa ec eaad b aaa bc daadb b aag b bf daad bc fb gaa cb b daad b cb gaa bc b daad cb ce gaa b b daad bc ec gaa cb b daag b bc gaa bf b daag cb bf gaad b fb aag bf b dad eb cb ga b b ag bf ce dad ee b ga fb ec aa bf b ad ee bf ga fb b aa bf bfag ee ga fb aab b ag cb ee dad b fb ga ee b ag b bc dad ec fb ga b b aa bf bc dad b cb ga bf b aa fb bc ad b cb ga ce b aa b bc ag ee cb da b b g ec bf b cb bf b b bf bf ee fb b b bf ce ee b fb ee bf b ee ec fb b bf bbe fb ```

Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0505ff c,#aaaaffff d,#ff8383ff e,#ff4141ff f,#4444ffff g,#ffc1c1ff ``` ```image c ff a ca a a ca ac ac fa a ca ff a a ac ca fa ac ca a a ff ac a fa ca ca a a ca ac ac fa a ca ff a a ac g ca ff ee ac ca b a a gb ff ac bd a ff b ca ca db a a bg ca ac b ac ff ee a ca b ff a gb a ac bd ca ff b ac ca db a a bg ff ac b a ff ee ca ca b a a gb a ac ed ac ff b a ca gb ff a bd a ac b ca ff db ac ca bg a a b ff ac ee a ff b ca ca gb a a db bd a ac bb b ac af ebg db a ca gbe bg ff a bb b a ac dbd ee ca af bb b ac ca ebg gb a a gbe bd fac bb b c dbd db bb bg ebg b gbe de bb bg dbd b bb ee ebg b gbe gb bb bd dbd b bb db ebg bg gbe b bb ee dbd bgbb gbg ```

I have a feeling there might be some intersections in this image. I'm going to focus my attention on these specific areas.  ```palette Key,Color ,#fefefeff a,#fe0808ff b,#5759fcff c,#feb7b7ff d,#afafffff e,#f5645fff f,#0708feff g,#aed5adff ``` ```image gggggggggggggg gggggggggggggg gggggggggggggg gggbgggggggggg gggbffffffffffbbbdd ggggggggggggggddbbffffffffffbbbdd gggaeggggggggg ddbbffffffff ggggaggggggggg bf ggggaggggggggg fb gggggagggggggg fb gggggagggggggg fd ggggggaggggggg f ggggggaggggggg f ggggggeagggggg df gggggggagggggg df gggggggeaggggg bf ggggggggaggggg ff ggggggggeegggg fb gggggggggagggg fd gggggggggaeggg fd ggggggggggaggg f ac df a df ac bf ca bf a fb ca fb a fd ca f a f ee df a df ee bf a ff ae fb a fd ac fd a f ac f ca df a bf ca bf a fb ca fb a fd ee fd a f ee df a df ae bf a ff ac fb a fd ac fd ca gggggggfggggg a ggggggggfgggg ca ggggggggggggg a ggggggggggggg ea ggggggggggggg a ggggggggggggg ee ggggggggggggg a ggggggggggggg ee ggggggggggggg a ggggggggagggg ac gggggeaaegggg a gggeaaggggggg ac gaaeggggggggg a caaeggggggggggg ac eaacggggggggggggg ca aae ggggggggggggg a caac ggggggggggggg ca eaac ggggggggggggg a aae ggggggggggggg ea caae ggggggggggggg a eaac ggggggggggggg ee eae a caae ee caac a eaa ac aae a caac aceaa ae ```  Let's put area A under the microscope.  ```palette Key,Color ,#fefefeff a,#ff0404ff b,#4a4affff c,#ff8181ff d,#a5a5ffff e,#ff4040ff f,#0505ffff g,#ffc5c5ff ``` ```image ddd ffffffffbbbbddddd bbfffffffffffffffff dddddbbbbfff gg gaa aac cae aag cae aag cae gaag eae gaag eac gaa eac gaa eac caa aac cae aag cae aag cae gaag eae gaag eac gaa eac ```  No intersection found in area A, but I won't give up. Let's inspect the next region. I'm analyzing this close-up of area B with precision.  ```palette Key,Color ,#fefefeff a,#ff0303ff b,#4747ffff c,#ffbabaff d,#dcdcffff e,#ff6c6cff f,#0c0cffff g,#ff2f2fff ``` ```image bffd bffd dffb dffb dfb d eae ceaaag cgaaagc eaaaaec ceaaage cgaaagc egaaaec ceaaaae aaagc aec ```  Darn it! This close-up doesn't show any intersections in area B. My final answer is: no intersections found.

0

```palette Key,Color ,#fefefeff a,#ff0707ff b,#4242ffff c,#ff9e9eff d,#9393ffff e,#ff5454ff f,#0404ffff g,#ead7ebff ``` ```image dg bffffffffffbbddgg g gddbbffffffffffbbddgg ac gdddbbfffffff a bf ac fb ga fd ag fd ca fg a gf ca gf a df ee bf a bb ee fb a fd ec fg a fg ac gf a df ag df ga bf ag fb ca fd a fd ca fg a gf ee gf a df ee bf a bb ac fb a fd ac fg a fg ag gf ga df ag df ca bf a fb ca fd a fd ee fg a gf ee gf a df ac bf a bb ac fb ga fd ag fg ga fg ag gf ca g a ca a ee a ee a ga ac caac a eaa ac aae ga caac ag eaag ga aae a caac ca eaag a eae ce gaac a caag ee eae a gaac ee caag a eaa ac gaae a caac aceaa gae ```

This image seems promising for intersection detection. I'm extremely confident. No intersections at all.

0

```palette Key,Color ,#fefefeff a,#ff0707ff b,#0909ffff c,#ff8a8aff d,#6363ffff e,#b5b5ffff f,#ff4b4bff g,#ffcbcbff ``` ```image e edbbbbb edbbbbde bbbde edbbbbde edbbbbbbde edbbbbde edbbbbbde edbbbbde edbbbbbde ebbbbbde edbbbbbbde edbbbbde edbbbbbbbbbbd e fac gaf aaf aa faa fag caag caf gaac gaa faf aag caag cac gaac gaa aaf aag faa fac caag gaf gaac aa faf fag caag caf gaac gaa aaf aag faa cac caag gaa gaac aag fa fac af ```

Alright, let's get to work and investigate this image for intersections. I need to zoom in on these areas to get a better look.  ```palette Key,Color ,#fefefeff a,#0506feff b,#fe0808ff c,#9b9ff7ff d,#ffc4c4ff e,#ef6059ff f,#474afaff g,#aed4adff ``` ```image d bbd be bd be bd bb bd bb bd bb b bb db bb db eb db eb db eb db eb db eb eb eb eb eb eb eb eb eb eb eb eb db bb db bb db bb db a be db afac be db ca aa begggggggggggggggggggg db a caf beggggggggggggggggggg db ac fa begggggggggggggggggg db ca af gbeggggggggggggggggg db a fac ggbegggggggggggggggg b ff aa gggbeggggggggggggggg bd a fac ggggbggggggggggggggg bd ac aa gggggbgggggggggggggg bd ca cac ggggggbggggggggggggg bd a aa gggggggbgggggggggggg bd ac caf ggggggggbggggggggggg bd ca fa gggggggggbgggggggggg bd a af ggggggggggbggggggggg bd ff facggggggggggbgggggggg a aaggggggggggbggggggg ac gfacggggggggebgggggg ca gggaaggggggggebggggg a ggggcafgggggggebgggg ac ggggggaagggggggebggg ca gggggggcafggggggebgg a gggggggggaaggggggebg ff gggggggggggafgggggeb a ggggggggggggfacgggge ac ggggggggggggggaagggg ca cac a aa ac ca ca a ff a ac ca a ac ca a ff a ac ca a ac ca a ff a a fa a ac ca a ff a a ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#0a0afeff b,#fe0404ff c,#6666ffff d,#ffbfbfff e,#ff4646ff f,#ff8282ff g,#bfbfffff ``` ```image e bf bbf fbbf fbbf fbbf fbbf fbbf fbbd fbbd ebbd ebbd ebbd ebbd ebbd ebbd ebbd ebbd ebbd ebb bbe bbe dbbe dbbe dbbe ag dbbe aac dbbe caaag dbbe gaaac dbbe caaag dbbe gaaacg dbbf caaac dbbf gcaaag fbbf gaaac fbbf caaag fbbf gaaac fbbf caaag fbbf gaaac fbbd caaag fbbd gaaacg ebbd caaac ebb gcaaag eb gaaac e caaag ```  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,#0606ffff b,#ff0808ff c,#8686ffff d,#ffbfbfff e,#ff5e5eff f,#4443ffff g,#c9c9ffff ``` ```image d bbd be bd be bd bb bd bb b bb b bb db bb db eb db eb db eb db eb db eb eb eb eb eb eb eb eb eb eb eb eb db bb db bb db bb db a be db acac be db ca aa be db a gaf be db ac fag be db ga gaf be db a fag bd b ff aa bd b a cac bd bd ag aa bd bd ca cac bd bd a aa bd bd ac gaf b bd ga fag b bd a gaf db bd ff fag db a aa db ag cac db ca aa db a cac db ac aa eb ga gaf eb a fag eb ff gaf eb a fag e ag aa ca cac a aa ac ca ga a ff a ag ca a ac ga a ff a ag ca a ac ga a ff ga ag ca a ac ga a ff ga ag ```

This image might have some surprises. Let's look for intersections carefully. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#f1655eff b,#0c0cfcff c,#fc0a0aff d,#6c73f0ff e,#98c499ff f,#feb3b3ff g,#b0d6b1ff ``` ```image a c cf fc cf fc c ac c aa c cf c cf fc c ac c aa c bg ca b bbd c b bbd cf bd bbd fc bd bbd geeeeeeeeeeeceee bb dbd eggggggggggacggg db dbb eggggggggggcgggg db dbb egggggggggacgggg gb dbbegggggggggcggggg b dbbgggggggcaggggg b edbbeggggcgggggg bg eggebbegcagggggg bd eggggebbcggggggg bd eggggggcbbdggggg bb egggggacggbbdggg db egggggcgggggbbdg db eggggacgggggggbbd b eggggcggggggggggdbd b egggcagggggggggg dbb b egggcggggggggggg dbb bg eggcaggggggggggg dbb bd egecggggggggggge db bd cf bb fc eeeeeeeeeeeeeedb c gggggggggggggdbe ac ceggggggggggebge c gcagggggggggbgge aa ggcagggggggbegge c gggcagggggbdggge cf ggggccgggbdgggge c gggggccgbbggggge cf ggggggcbbgggggge fc ggggggdbcgggggge c gggggebgacggggge ac gggggbgggacgggge c ggggbeggggecggge aa gggbdggggggecege c ggbdgggggggggcee ca gbbgggggggggggca c bbgggggggggggggca cf dggggggggggggggeca fc ca c cc fc cc c ac aa ac c fc ca fc c fc cf cf fc cf c cf fc ca c ca ac cc c cc ca ac c accf ac ```  Let's see if area A yields any clues.  ```palette Key,Color ,#fefefeff a,#ff5555ff b,#0404feff c,#fd0709ff d,#3831f8ff e,#c6c6ffff f,#fcacafff g,#7e7efeff ``` ```image gb gbb ebbg ff ebbg fccf ebbd accf dbd accf dbd accf dbbe acca gbbe fcca gbbe fcca gbbg fcca ebbg fcca ebbg fccc ebbd ccc dbd cccfdbd acdbbe dbbf gbbccf ebbgaccf ebbg acca ebbd fcca bbd fcca dbd fcca dbbe fcca gbbe fccc gbbe fccc gbbg cccf ebbg accf ebbg accf ebbd acc dbd ac dbd a ebbe ```  An intersection is present within area A. Let's inspect the next region. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#fe6666ff b,#0303feff c,#fd0a0cff d,#7575feff e,#babaffff f,#feadadff g,#382ef4ff ``` ```image fcc cca fcc ccf acc ccf aca fccf aca bd fcc bbbd cca egbbbd fcc egbbbde ccf egbbbde acc egbbbge ccf edbbbgeaca edbbbgcf dbbbge fcgbbbge cca dbbbgd fcc dbbbbd ccf dgbbbd acc egbbbd ccf egbbbd acc egbb fccf eg aca fcc cca fcc cca acc ccf acc ```  Gotcha! I've found the intersection hiding in area B! I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#ff7676ff b,#0908fdff c,#fe0304ff d,#5555ffff e,#a7a7ffff f,#ffb9b9ff g,#fc3234ff ``` ```image a c cf fc cf fc c ag c ga c ca c cf fc c ag c gg c ebe ga b bbe c b bbe cf be bbd fc bd dbd c bd dbd ac db dbd c db dbb ag eb ebb c b ebb ga b ebb c be ebbe cf be bbg bd cbbe bb fc bbe db c bbd eb ag dbd eb c dbd b ga dbd b c dbb be cf ebb bd fc eb bd cf db fc db c eb ag cf b c cf b ga ca be c cg be ca cg bd c gg bd cf gbb fc ebc c eb ac ag b fc c b fc gg be fcf c be cf ga bd cf c db ca cf e ca fc cg c cg ac gc c gc ag ac c ac ga fc c fc cf cf fc cf c ca fc ca c cg ag cg c gc ga gc c accf ac ```

Based on a first glance, I suspect there could be intersection regions here. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#f54844ff b,#0505ffff c,#9b9bfeff d,#f39f9aff e,#fe0505ff f,#aed5aeff g,#5155f3ff ``` ```image ee dedaa ae e ee de ea e ded e ae ed ee e ea ad ded e ae aa ee e ea de ded e ae defffffffffffffffffff ee edffffffffffffffffff ed feffffffffffffffffff de feafffffffffffffffff ae ffefffffffffffffffff ea ffaaffffffffffffffff ed fffeffffffffffffffff de fffaefffffffffffffff ae ffffefffffffffffffff ea ffffdeffffffffffffff ed fffffedfffffffffffff de cbg ffffffefffffffffffff ae b cbbg ffffffedffffffffffff ea bc cbbgfffffffeffffffffffff ed bg cbbgffffaafffffffffff cb ffgbbgffefffffffffff b fffffgbbgaffffffffff b ffffffffgbbgffffffff bc fffffffffdegbbgfffff gb ffffffffffefffgbbgff cb fffffffffffefffffgbbg b fffffffffffedfffffffgbbg bc ffffffffffffefffffff gbbg bg ffffffffffffaaffffff gbbg cb fffffffffffffeffffff gbbg b fffffffffffffaafffff gbbg b ffffffffffffffefffff g bc ffffffffffffffdeffff gb fffffffffffffffeffff cb ffffffffffffffffefff b ffffffffffffffffedff bc fffffffffffffffffeff bg fffffffffffffffffeaf cb ffffffffffffffffffef b ffffffffffffffffffaa b fffffffffffffffffffe bc de gb e cb de b ed bc e bg ed cb e b aa b e bc de gb e cb de b ed bc e bg ed cb e b aa b e bc da gb e cb de b e e ed e aa e aa e ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fb4347ff b,#0201feff c,#8f8fffff d,#ff8e8eff e,#fe0505ff f,#f3d0dbff g,#3e36f6ff ``` ```image eef aea feef aea feef dea eed dee eed deef aed feef aea feef aea feed dee eed dee aed feef aea feef aea feed dee eed dee gc aed bbbgc deef cgbbbbgc aea fcgbbbbgc feef fcgbbbbgc aea fcgbbbbgcfeef fcgbbbbgaa fcgbbbbgc fcgbbbbgc agbbbbbgc deefcgbbbbgc aea fcgbbbbgc feef fcgbbbbgc aea fcgbbbbg feef fcgbb dea fc eed dee eed dee aed feef aea feef aea feed dee eed dee aed feef aea feef aea feed dea eed dee aed deef aea fee ae ```  An intersection is present within area A. The final count is: one intersection.

1

```palette Key,Color ,#fefefeff a,#fe4141ff b,#0505ffff c,#9595ffff d,#ff8484ff e,#fe0505ff f,#ffc8c8ff g,#5453fdff ``` ```image f ee fefda de e ee de ea ef fef fe ae ef ee e ea ad fef e ae aa ee e ed de fef e ae fe ee ef ed e def ed ae e ea aa ed e def de ae e ea fe fed ef def cbg fe ae b cbbg ed ea bc cbbg e ed bg cbbg aa cb cbbg e b cbbga b cbbg bc fecbbg gb ef cbbg cb fe cbbg b ed gbbg bc e gbbg bg ad gbbg cb e gbbg b da gbbg b e g bc de gb ef cb fe b ef bc e bg ad cb e b aa b e bc de gb e cb fe b ef bc e bg ed cb e b aa b e bc de gb e cb fe b ef bc fe bg ed cb e b aa b e bc da gb e cb fe b ef fe ed e ad e da e ```

This is the image I'm working with. The goal is to count the intersections. The image is completely devoid of intersections. Zero.

0

```palette Key,Color ,#fefefeff a,#ff0808ff b,#3a3affff c,#ff5b5bff d,#ffb5b5ff e,#7878ffff f,#bbbbffff g,#0303ffff ``` ```image f bgg egge bgb eggf fggb eggf fgge bggf fgge bgg egge bgb eggf fggb eggf ggggbbbeeeefff fgge ffffeeebbbggggggggggggggggggbbbeebggf fffeeee ad ad a a da ca ca aa ac ad ad a a a da dac ca aa ca dac ac aa ac cad ad aa ad cad a dac da aa da dac ca aa ca cad ac aa ac cad ad dac ad aa a dac da aa da cad ca aa ca cad ac dac ac aa ad dac ad aa a cad da aa dad ```

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,#0505fdff b,#fb0a09ff c,#8790edff d,#e16d60ff e,#b1d7b1ff f,#4040eeff g,#99c696ff ``` ```image c a ac a a ca a cf a ff a ac a a ca a ca a ff a ac a ac ca a ca a ff a fc a ac a a ca a ff a fc a ac a a db ca ebbd a dbb cf bbd a dbbe geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeg bbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeg ebbd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeedbb afgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeegbbd aaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeedbbgeg faeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeebbbeeeeg gcageeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbbdeeeeeeg geeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefabeeeeeeeeeg geeeafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbaeeeeeeeeeeeg geeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbgffeeeeeeeeeeeg geeeeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbdeeeaeeeeeeeeeeeeg geeeeeegaceeeeeeeeeeeeeeeeeeeeeeeeeeedbbdeeeeaceeeeeeeeeeeeg geeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeaeeeeeeeeeeeeeg geeeeeeeeeaaeeeeggdddddbbbbbbbbbbbbdeeeeeeeeaceeeeeeeeeeeeeg ddbbbbbbbbbbbfabbbbbbdddddggeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeg ddddgeeeeeeeeecageeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeg geeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeefaeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeegaceeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeg eggggggggggggggggggggaaggggggggggggggggacgggggggggggggggggge fa a ca a ac ca af a fa cf ca a ac fc af a aaac ca ```  I'm eager to see what's happening in this magnified view of area A.  ```palette Key,Color ,#fefefeff a,#0808feff b,#fe0505ff c,#b2b2ffff d,#f9494fff e,#fd8c8dff f,#5951f6ff g,#fecacaff ``` ```image caa faf caa aaf caa aac faa eb aac gdbbb faf edbbbde ac caac gebbbbdg aac faf dbbbbe faaf aaf gdbbbeg caaa caaedbbbde caaac aadbbbdg faac efaabbe faaf gebbaadg caaf gdbbbfaf caac ebbbbdeaac aac gdbbbbdg faf aaf dbbbde caac faaf gebbbdg faf caaac gdbbbe caa caaac ebbbbdg aac faac gdbbbbeg caa faaf edbbbde aac caaf ggggeeeeeddddbbbbdg faf caaac ggggeeeeeddddddbbbbbbbbbbbbbbbbbbbbbe aac ggggeeeeeedaaaddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddeeeeeg faf dddbbbbbbbbbbbbbbbbbbfaafbbbbbbbbbdddddeeeeeggggg caac bbbbbbbbbbbbddddddeeeefaafgg faf eeggggg caaac caa caaac aaf faaf aac caaa faa caaac aac faa faf faf aac caf af aaac ca caaac af faaf ca faaf aa caaa faa ```  There is an intersection point visible in this close-up of area A. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#fe0606ff c,#8484ffff d,#ff5454ff e,#fea6a7ff f,#433ef9ff g,#c5c5ffff ``` ```image c a ac ga ag ga a cf a ff a ac ga ag ga a ca a ff a ac a ag ga a ca a ff a fc a ag ga ag ca a cf a fc a ac ga ag db ga ebbd a dbbe cf bbd a ebbe ff dbd a ebbe ac dbb af a ebbd aa ag dbbe fa ga bbd gag aebbe ac fab af ebba fa dbb ff ca bbd a gag ebbe ac af bbd a aa eeeedddbbbbbbbbbbbe ag ddddbbbbbbbbbfabbbbbdddeeee ga deeee gag a ac ca af a fa ff ca a gag fc af a aa ag fa ga gag ag ac ca af a fa cf ca a gac fc af a aaac ca ```

This is the image I'm working with. The goal is to count the intersections. Let's take a closer look at what's happening inside these zones.  ```palette Key,Color ,#fefefeff a,#fd0908ff b,#090afcff c,#ffb2b2ff d,#6a73edff e,#ea615aff f,#b0d6b1ff g,#9ac596ff ``` ```image c ac a ac ca a ca a ee a ee a ac a b ac fggggggggggggdbd ca gfffffffffffbbff a gfffffffffdbdfff ca gffffffffbbfffff a gffffffgbdfffffg ee gfffffbbfffffffa a gfffgbdfffffffae ee gffbbffffffffeaf a ggbdffffffffgaff ac bbffffffffffafff a bbffffffffffaefff ac db gfffffffffeaffff ca bb gfffffffffafffff a db gffffffffagfffff eagggggggggggggg bb gfffffffaaffffff gaffffffffffffff dbf gffffffgafffffff geefffffffffffff bb gffffffaffffffff gfafffffffffffff dbf gfffffaeffffffff gfaeffffffffffff bb gffffeafffffffff gffaffffffffffff dbd gffffaffffffffff gffaefffffffffff bb gfffagffffffffff gfffafffffffffff dbd gffaefffffffffff gfffagffffffffff bb gfeaffffffffffff gfffgaffffffffff dbd gfafffffffffffff gffffaffffffffff bb gaefffffffffffff gffffeafffffffff fbd eaffffffffffffff gfffffafffffffff bb afffffffffffffff gfffffeeffffffff fbd agfffffffffffffff gffffffaffffffff fbb aegfffffffffffffff gffffffeedddbbbbbbbbbbbbd ca gfffffffffffffff fdddbbbbbbbbbbbbddddgff a gfffffffffffffff bbbbbbdddf gfffffffaeffffff ac gffffffffffffffg gffffffffaffffff ea gffffffffagfffff ca gffffffffgafffff a gfffffffffafffff ae gfffffffffeaffff ca gffffffffffaffff a gffffffffffeefff ac gfffffffffffafff ee gfffffffffffaeff ca gffffffffffffaff a gffffffffffffaef ae gfffffffffffffaf ea gfffffffffffffag a gfffffffffffffga ac a ae ca ca a a ee ac a ea ae a a a ac ae a ca a a ca ac a ea ca ca a a ee ae a ca ae a a ac aae a ```  I wonder what we'll find inside area A?  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0503fdff c,#fc7a7dff d,#a5a5ffff e,#fd3b3cff f,#ffc3c3ff g,#5351fdff ``` ```image caa aaf cae aaf cae faaf eac faa eac faa eac caa aaf cae aaf cae faaf eac faa eac faa eac caa aaf cae aaf cae faaf eac faa d eacdddgggggbbbbbb dddddgggggbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbggggddddd bgggggddddd cae aaf cae aaf cae faaf eac faa eac faa eac cae aaf cae aaf cae faaf eac faa eac faa eac cae aaf cae aaf cae faaf eac faa ```  There is an intersection point visible in this close-up of area A. Time for a closer look at another area. Let's put area B under the microscope.  ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0a0affff c,#ff7d7dff d,#bbbbffff e,#ff3a3aff f,#ffc4c4ff g,#6463ffff ``` ```image gb dbbb gbbbd dbbbg gbbbd dbbbg gbbbd dbbbg gbbbd dbbbg gbbbd f dbbbg e gbbbd ca dbbbg faa gbbbd aac dbbbg eae gbbbd caaf dbbbg faac gbbbd eae dgbbg caa bbbd faaf bg aac d eae caaf faac eae caa faaf faac eae caaf faaf aac eae caaf faac eae caa faaf aac eae caaf faac eae caa faaf aac eae caaf faac eae caa faaf aac ae af f ```  This isn't an intersection in area B, but I'm not discouraged. One intersection, that's it, but I found it.

1

```palette Key,Color ,#fefefeff a,#ff0505ff b,#0a09feff c,#fd8688ff d,#ababffff e,#fe4243ff f,#ffc7c7ff g,#6262ffff ``` ```image f ac a af fa a ca a ce a ec a ac a b af dbd fa bb a dbg ca bb a dbg ce bb a a dbg af ec bb ee a bg fa ac gb a a bg ac af gb ca fa bb a a gbd af ca bb ee a gbd fa ce bb a a gbd ac ec bb ca a gbd a ac bb af a dbd ee af bb fa fa dbd a a bb ac ca dbg ea a bb fa ce dbg af a dbb ae ecdggbbbbbbbbbbbbg ca ddggbbbbbbbbbbbbggdd a bbbbbbggdd af af a ee af fa fa a a ac ca ca a a ee af a ee ec fa a a af ac a ca af a fa af a ee ce fa a a ee ac a ea ec fa a af af ae a ca af a fa af a ee ce fa a a ee ac a ca ec a a af aae fa ```

I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#5258edff b,#e5645bff c,#9ba3efff d,#b2d7b1ff e,#fd0807ff f,#97c796ff g,#0708fdff ``` ```image c c gc g g gc gc g g g g cg cg g g ag aa g g aa aa g g gc gc g g gc gc cg cg g g cg cg g g aa aa g g gc aa g g gc gc cg g g g cg cg g g aa cg g g ga aa g g gc aa g g g gc cg g g g dfffffffffffffffffffffffffffffffffffffffagfffffd cg fdddddddddddddddddddddddddddddddddddddddgddddddf ee g fddddddddddddddddddddddddddddddddddddddgaddddddf bee cgfddddddddddddddddddddddddddddddddddddddgdddddddf eeb gfdddddddddddddddddddddddddddddddddddddgcdddddddf beed aaddddddddddddddddddddddddddddddddddddfgddddddddf eee gddddddddddddddddddddddddddddddddddddgfdddddddbeeb gaddddddddddddddddddddddddddddddddddcgddddddbeef fgddddddddddddddddddddddddddddddddddgddddfeebddf fgcddddddddddddddddddddddddddddddddagddbeefddddf fdgddddddddddddddddddddddddddddddddgfeebdddddddf fdgfddddddddddddddddddddddddddddddgaebdddddddddf fdcgddddddddddddddddddddddddddddeegddddddddddddf fddgdddddddddddddddddddddddddbeebgaddddddddddddf fddagddddddddddddddddddddddbeedddgdddddddddddddf fdddgdddddddddddddddddddfeebddddgcdddddddddddddf fdddaaddddddddddddddddbeefdddddcgddddddddddddddf fddddgdddddddddddddfeebddddddddgdddddddddddddddf fddddgaddddddddddbeebdddddddddagdddddddddddddddf fdddddgddddddddbeeddddddddddddgddddddddddddddddf fdddddgcdddddbebdddddddddddddaaddddddddddddddddf fddddddgdddeebdddddddddddddddgdddddddddddddddddf fddddddgfeebddddddddddddddddgadddddddddddddddddf fddddddbgbddddddddddddddddddgddddddddddddddddddf fddddeebgddddddddddddddddddgcddddddddddddddddddf fddeebddagddddddddddddddddcgdddddddddddddddddddf feebdddddgddddddddddddddddgddddddddddddddddddddf eefdddddddaaddddddddddddddagddddddddddddddddddddf dee fdddddddddgddddddddddddddgdddddddddddddddddddddf dee fdddddddddgaddddddddddddaadddddddddddddddddddddf dee fddddddddddgddddddddddddgddddddddddddddddddddddf bee fddddddddddgcddddddddddgaddddddddddddddddddddddf bee fdddddddddddgddddddddddgdddddddddddddddddddddddf bee fdddddddddddgfddddddddgcdddddddddddddddddddddddf beb fdddddddddddcgdddddddfgddddddddddddddddddddddddf beb dffffffffffffgfffffffgfffffffffffffffffffffffffd eb cg cg g g aa aa g g gc aa g g ggc g ```  I'm determined to find out if an intersection exists in area A.  ```palette Key,Color ,#fefefeff a,#3c39fbff b,#fd5a5cff c,#7c7afcff d,#ffb0b0ff e,#fe0708ff f,#c1c1feff g,#0403feff ``` ```image ggf cga fggf aga fggf agc fgg ggc cgg ggf f cga a fggf gf aga gc fggf db gg agc beee agc fgg dbeeeeb fgg agc deeeebd agc cgg dbeeeeb cga ggc deeeebd ggf cga dbeeeebd cga fggf dbeeeed ggf aga beeeebd cga fggbeeeeb fggf agaeebd agc dbeggeb fgg deeeggc agc dbeeeecgg fgg dbeeeed ggc agc beeeebd cga cga dbeeeeb ggf ggf beeeebd cga cga dbeeeeb fggf ggf deeeebd aga cga dbeeeebd fggf fggf dbeeeed agc agc beeeebd cgg fgg dbeeeeb ggc agc beeeebd cga fgg beeeeb ggf agc beeebd cga cga dbeeebd fggf ggf dbeeebd aga cga dbeeebd fggf ggf dbeeebd agc cga dbeeeb fgg fggfdeeeeb ggc agaeeeb cgg dbggeb ggf deeeggc cga deeeedfgg fggf beeeed agc aga beeeed cga fggf beeeed ggf agc beeebd cga fgg eeebd ggf agc ebd cga cgg d fggf ggc agc cga fgg fggf agc aga fgg fggf ggc agc cga fgg ggf agc cga cgg ggf ggc cga cga fggf ggf agc cga fgg fggf agc aga ```  As I suspected, there's an intersection within area A. The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#413efbff b,#fc5658ff c,#8686ffff d,#ffafafff e,#fe0606ff f,#c8c8feff g,#0505feff ``` ```image f c gc g g gc gf fg fg gf g fg cg g g ca ca g g aa ac g g gc gc fg g gf gf fg fg g g cg cg g g aa ca g g gc ac g g gf gc fg g g gf cg fg g g aa cg g g ac ca g g gf ac fg g gf gc cg g g gf ca fg g dee g ac beed cg g eeb g gc deed ca fg eeb g gf deed ac fg bee g g deeb gf ca beed g g eeb gf aaed fg eeg g deedgc cg bee fg g deeb gf ca beed fg g eeb g ac beed cg g beb g gf beb aa g beb g gfbeb gc bgb g eedg gf eed ca fg eed g g deed aa cg deed g g dee ac aa dee g g dee gf ac dee g g bee gf gf beb fg fg beb g gf eb ca cg g g aa ca g g ac ac g g ggc fg ```

Here's an image. My task is to find intersections or areas where lines come close together. My analysis shows there's absolutely no intersections in the image

0

```palette Key,Color ,#fefefeff a,#0808ffff b,#ff0404ff c,#a2a2ffff d,#ffbfbfff e,#4e4effff f,#eae0f4ff g,#ff5757ff ``` ```image d dbb dbb dbbf dbbf dbbf dbbf dbbf dbbf dbbf dbbf dbbf gd dbbf dbbbg dbbf gbbbd dbbf dgbbgf dbbd gbbbd dbbd dgbbgd dbbd dbbbg dbbd fgbbbd dbbd dbbbg fbbd gbbbd fbbd dgbbbbd d eaf eafac ea ae ea aa ea ea ea caf ea fac ea ae aa aa aa ea aa caf aa fac ae ae ae aa ae ea ae caf ae fac ae ae ae aa ae ea ae caf ac fac ac ae ac aa ac ea ac caf ac fac ac ae ac aa af ea faf caf faf fac faf ae faf aa faf ea af caf fa ```

I'm ready to tackle this image and find those intersections! I can confidently say that there are no intersections in this image.

0

```palette Key,Color ,#fefefeff a,#ff4141ff b,#4d4dffff c,#ff0606ff d,#b0b0ffff e,#ffc8c8ff f,#0505ffff g,#ff8383ff ``` ```image g ec c cg gc c ce ca c gc gc c cg ce c aa ec ec aa c ce cg ec ac aa ec ce c c cg gc gc ce c c ce gc aa cg ec c c f ec ce df ca aa fd c ec f ec c df aa cg fd ce gc f c ec df ac ce fd ce cg f c gc df gc c fd cg ce f c aa bf ec ec fd cg c f c cg f bf ec aa fd fd aa ec df f ce c df bf ec cg bf fd aa gc bf f ce c ff bf c ce fb fd gc ca fb f cg gc fd bf c c fd fd gc ce df f cg aa df bb c ec bf fd ec c bf f aa cg ff bb ce ac fb fd ec ec fb f aa c fd bb ccg fd fd c df f df bb bf f bf f ff bb fb f fb f fd bb fd f df df df bb bf f bf df ff bb fb f fb df fd bb fd fdf df ```

I'm on the case! Let's uncover any intersections hidden in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0707feff c,#f89e9bff d,#4b4ff6ff e,#f44c4cff f,#add4adff g,#abacfdff ``` ```image c a ac a a ca a ee a ac a ac ca d a gbd ca db a bb ee dbg a bb ac gbd a bb a gbd ca dbg a bb ee gbg a bb ee gbd a dbg ac bb a dbg a bb ca gbd a db fffffffffffffeef bb fffffffffffffaff dbg ffffffffffffaeff bb ffffffffffffafff gbbg fffffffffffacfff dbbg ffffffffffcaffff dbbg ffffffffffafffff gbbbgfffffffffeafffff gbbbfffffffaffffff fgbbbfffeeffffff ffffdbbdafffffff fffffffebbdfffff fffffffaffdbbdff ffffffaffffffdbbd fffffcafffffffffdbbg fffffaffffffffff dbbg ffffeaffffffffff dbbg ffffafffffffffff gbbbg fffaefffffffffff gbbbg fffaffffffffffff gb ffacffffffffffff ffafffffffffffff a ca a ee a ac a ac ca a ca a ee a ac a a ca a ee a ee a ac cccccceeeeeaaaaaaaaaaaaaa aaaaaaaaaaaaaeeeeecccccc ```  Let's take a closer look at area A.  ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0706fdff c,#ff7575ff d,#5e5efeff e,#f43c46ff f,#ffbdbdff g,#b8b7feff ``` ```image eae faaf eac faa aac caa aaf cae faaf eae faaf eac faa aac caa dg aaf bbbdg cae dbbbbbdg faaf gdbbbbbd eae gdbbbbdg faa gdbbbbdeac gdbbbbdg gebbbbbdg caegdbbbbbdg faaf gdbbbbbdg eae gdbbbbbdg faaf gdbbbb eac gdb faa aac caa aaf cae faaf eae faaf eac faa aac caa aaf cae faaf ```  Area A contains an intersection. I've found a single intersection point in the image.

1

```palette Key,Color ,#fefefeff a,#fe0404ff b,#0808ffff c,#ff7f7fff d,#5555feff e,#fa3e42ff f,#ffc2c2ff g,#b1b1ffff ``` ```image c a af fa af ca a ee a ac a af fa d a gbd ca bbg a bb ee dbg a bb ac gbd fa bb af gbd fa dbg a bb ce gbd a bb ec gbd a dbg af bb fa dbg af bb ca gbd a dbg ee bb a dbg ac bb a gbbg af dbbg fa bbbg a gbbbg ca gbbbg a gbbd ee gbbda ebbd fa dbbd af dbbd fa dbbg a dbbg ce bbbg a gbbbg ec gbbbg a gb af fa a ca a ee a ac a af fa a ce a ee a ac fa af fa a ce a ec a af ffffcccceeeeaaaaaaaaaaaaaa aaaaaaaaaaaaeeeecccccffff ```

Let's examine this image for potential line intersections. These zones are intriguing. I bet there's something interesting happening within them.  ```palette Key,Color ,#fefefeff a,#0707feff b,#f57f7bff c,#b3b3ffff d,#b2d6b1ff e,#5556f4ff f,#fd0c0cff g,#95c498ff ``` ```image b ff ff bfb bff ff ffd bfb bff ff ffd bfb dff ff ffb bfb gddddddddddddddddddg ff gddddddddddddddddddg ff gddddddddddddddddddg ffb gddddddddddddddddddgbfb gdddddddddddddddddgff fffffbb gddddddddddddddddffg bbffffffbb gddddddddddddddffbdg dbfffffffb gdddddddddaddbffdddg bbffffffbbdddddaaeffdddddg ggbfffffeafagddddddg gdddddddabbdaddddddg gddddddaedddgadddddg gdddddeadddddeaddddg gdddddadddddddaedddg gddddaeddddddddadddg gdddgadddddddddgaddg gdddadddddddddddeadg gddeeddddddddddddaeg gddaddddddddddddddag dgagggggggggggggggga ea ca a ea ac ac ca a a ca ae ea ca ae a ac ee a a ca ac ee ea ac a a ac ca ca ea a ae ae ac ca a a ca ee ae a ac ac a ea ca a ea ac ae ca ac a a ae ca ca ae a ac ee a a ca ac ea ea ae a a ac a ca ea a ae ae ac ca a a ca ee ea a ac ac a ```  Let's see what secrets area A holds.  ```palette Key,Color ,#fefefeff a,#0706feff b,#fe595aff c,#a9a8fdff d,#ffaaaaff e,#4f4dfcff f,#fe0808ff g,#9e0262ff ``` ```image db bff dfffb dffffd bfffd bfffb aac dfffb d eaaa dffffd ffffbbbdd caaaaebfffd ffffffffffffbbddd aaecaagfb dddbbfffffffffgaabfgaac ddbbbgaagfffeaa eaeddd eae caa aae aac caac eae caac caa eaa aac aae eae caac caac caac aae eaa eaa eae caac aae eae caac caa eaa aac eaa eae aae caa caac aac caa ```  Oh my, look at that! It's an intersection in area A! The final answer is: two intersections found.

2

```palette Key,Color ,#fefefeff a,#0505feff b,#ff5454ff c,#8484ffff d,#ffa8a8ff e,#3e3afbff f,#ff0606ff g,#c5c4feff ``` ```image d ff ffd bfd dfb ff ffd bfb dfb ff ffd bfb dff ff bfd dfb dff ff bfd dfb dff fffffbd ff dbffffffbd bfd dbbfffffbdd a dfb dbffffffbd aaeff ddbffffeafag add a ac ga ca ee a ac ac a ga ga a ca ee ae a ag ag a ca ga a ee ac ac ca a a ga ac ca ga ae a ag ee a a ca ag ee ce ac a a ac ga ca ca a ac ac ag ga a a ca ee ee a ag ag a ce ga a ea ag ac ca ag a a ac ca ga ee a ag ee a a ga ag ea ce ac a ag ag ga ca ca a ee ac ag ga a a ga ee ee ga ac ag a ```

I have a feeling there might be some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections.  ```palette Key,Color ,#fefefeff a,#ed6058ff b,#0808fcff c,#fc0908ff d,#6268ebff e,#feb0b0ff f,#b1d7b1ff g,#9ac497ff ``` ```image a c ce c ce ec c ac c aa c ce c ce ec c ac c e aa aa c c ce ec c ce ce c ec ca c c ec ac c c aa ec c ce ca c c aa ce c ec ec c ce ec c c aa aa c c ec ca ce c c ce ca ec gcfffffffffffffffffffffffffffffffffffffffffcg gacfffffffffffffffffffffffffffffffffffffffacg gfcgffffffffffffffffffffffffffffffffffffffcfg gfgcfffffffffffffffffffffffffffffffffffffacfg gffcaffffffffffffffffffffffffffffffffffffcffg gfffcfffffffffffffffffffffffffffffffffffcaffg gfffacffffffffffffffffffffffffffffffffffcfffg gffffcfffffffffffffffffffffffffffffffffcafffg gffffgcffffffffffffffffffffffffffffffffcffffg gfffffcaffffffffffffffffffffffffffffffcgffffg gffffffcfffffffgddbbbbbbbbgffffffffffgcfffffg gffffgddbbbbbbbbddgffffffdbbbdgffffffcffffffg fddbbbbbbbbdcgfffffffffffffffffffdbbbdffacffffffg ddbbbbbbbbdd gfffffffacfffffffffffffffffffffffdbbbdffffffg ddf gffffffffcgffffffffffffffffffffffffaadbbbdffg gfffffffffcffffffffffffffffffffffffcfffffdbbbd gfffffffffcaffffffffffffffffffffffcaffffffffgdbbbd gffffffffffcffffffffffffffffffffffcfffffffffg dbbbd gffffffffffacffffffffffffffffffffcgfffffffffg fdbbbf gfffffffffffcgffffffffffffffffffgcffffffffffg fbbbbf gfffffffffffgcffffffffffffffffffcfffffffffffg dbbbdf gffffffffffffcaffffffffffffffffacfffffffffffg dbb gfffffffffffffcffffffffffffffffcffffffffffffg gfffffffffffffacffffffffffffffaaffffffffffffg gffffffffffffffcffffffffffffffcfffffffffffffg gffffffffffffffgcffffffffffffcafffffffffffffg fgggggggggggggggcagggggggggggcggggggggggggggf c ce aa ec c c ec ec ce c c aa ca c c ca ac c cce ec ```  Let's zoom in on area A to get a clearer view.  ```palette Key,Color ,#fefefeff a,#fc3e41ff b,#0504feff c,#fe0505ff d,#544ffaff e,#ffc6c6ff f,#a2a2feff g,#ff8383ff ``` ```image acg e ecce a aca ec ecce ac gcc ecc ccg ccg ecce gcc aca ccg ecce gca gca ecce ccg aca gcc ecce acg aca ecce ecce aca acg ccg gcc gcc ccg acg gca ecce cce aca aca ecce ecce gcc fffddddff aca ccg fffdddbbbbbbbbbbbbbbdff ecce ecce ffffdddbbbbbbbbbbbbbdddffffdbbbbbbdff acg fffddbbbbbbbbbbbbbbbdddfff fdbbbbbbdf gcc fffdddbbbbbbbbbbbbbbdddfff fdbbbbbbdf ccg bbbbbbbbbbbbddddaa ffdbbbbbbdf gcc bbdddfff ccg ffdbbbbbbdfcce gcc ffdbbbbbbdf acg fdbbbbbbddf ecce acafddbbbbbddf aca ecce fdbbbbbbdf ccg acg fdbbbb gcc gcc fd acg ccg ecce gcc aca ccg ecce gca gcc ecce ccg aca ecce ecce aca acg ecce ecc gca ccg ccg gcc gcc ccg acg gca ecce ecce aca aca ccg ecce gcc aca acg ecce ecce acg ```  I've cracked the case! This area contains the intersection. There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#fc3f41ff b,#0707feff c,#ff0505ff d,#5d5afbff e,#ffc6c5ff f,#acacffff g,#ff8585ff ``` ```image g c cg ec ce ec c ga c aa c cg c ce ec c gc c g aa aa c c cg gc c ce ce c ec ag c c gc gc c ce aa ec c cg ag c c aa ce c ec ec ce ce gc c c aa ga c c gc ag ce c c cg ag ec c ce gc ec ce c ec ga cg c c aa aa c c cg ec c ce ce c ffdbbbbbbbdf ec fdbbbbbbbbdff fbbbdf c fddbbbbbbbdda fbbbd gc fdbbbbbbbbdff gc dbbbd ddf ce aadbbbd c c dbbbd ag cg dbbbf c c fdbbbf gc ce fdbbbf ce ec fbbbdf ec c fbbbdf cg gc fbb c c aa aa c c ec ag ce c c ce aa ec c ce gc gc ce c c ga ag c c ag gc c ccg ec ```

Alright, let's get to work and investigate this image for intersections. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0607fdff c,#f5a09bff d,#484df4ff e,#add4adff f,#98a0eeff g,#ea4c4bff ``` ```image f bd b aa fb gagg b ga a b ga ca bf ca a b ca a dd a ac b a a fb a gg bf ac a b ac ca dd ac a b ag ca efbeeeeeeeeeeeeeag ac eebfeeeeeeeeeeeaa a eeebeeeeeeeeeega ac eeeddeeeeeeeegae a eeeebeeeeeeegaee gg eeeefbeeeeecaeee a fb eeeeebfeeecaeeee ca fb eeeeeebeeeaeeeee a fb eeeeeebdeaeeeeee ca fb eeeeeeebaeeeeeee ac db eeeeeeegbeeeeeee a db eeeeeeacbeeeeeee ac db eeeeeageebeeeeee a bb eeeeageeebdeeeee gg bb eeeageeeeebeeeee a bd eeaaeeeeeedbeeee egaeeeeeeeeeeeee bd egaeeeeeeeebeeee eeaeeeeeeeeeeeee bd gaeeeeeeeeefbeee eeeaeeeeeeeeeeeebf caeeeeeeeeeeebfee eeeaceeeeeeeeeebf caeeeeeeeeeeeeebee eeeeaeeeeeeeeebf ca eeeeeeeeeeeeedde eeeeggeeeeeeebfe a b eeeeeaeeeeeebeee a fb eeeeegaeeefbeeee ac bf eeeeeeaeefbeeeee ac b eeeeeecafbeeeeee ac dd eeeeeeegbeeeeeee b eeeeeedbaeeeeeee fb eeeeedbeageeeeee bf eeeedbeeeaeeeeee b eeebbeeeeggeeeee bd eebbeeeeeeaeeeee b ebbeeeeeeegaeeee fb bdeeeeeeeeeaeeee b bdeeeeeeeeeecaeee b bdeeeeeeeeeeeeacee bf bf eeeeeeeeeeeeeaee b bf eeeeeeeeeeeeeage dd bf a b bf gg fb b a bf fb ca b fb a dd fb a b fb ac fb db a bdb gg b a ca a ca ac a ac a gg a ca a ca ac a ac a gg a ```  Eureka! Let's inspect this close up of area A  ```palette Key,Color ,#fefefeff a,#fd090aff b,#0504feff c,#ff6262ff d,#4039f7ff e,#ffb6b6ff f,#c9c9feff g,#8383ffff ``` ```image bbg fbbf dbd fbbf gbd a bbg ca gbbf caa dbd caae fbbf caae gbd caae bbg eaae gbb eaac dbg eaac fbbf eaac dbd eaac bbg eaac gbb aaa dbg aaa fbbfaaa dbdaae fbbae cdbb caabbg caaefbbf eaac dbd eaac fbbf eaac gbd eaac bbg eaac gbbf aac dbd aaa fbbf aaa gbd caa bbg caae gbb caae dbg caae fbbf caae dbd aae bbg ac gbb c dbg fbbf ```  Success! This area contains an intersection point! Now, let's scrutinize the next spot. My goal is to determine if there's an intersection inside area B.  ```palette Key,Color ,#fefefeff a,#fe0909ff b,#0909feff c,#ff6363ff d,#4d4dffff e,#ffb7b7ff f,#c4c4ffff g,#88158bff ``` ```image eaa aac eaae cac eaae caa aae d caa db aac dbb eaa dbbf cac dbbf eaae bbbf cac fbbbf aae fbbbf caa fbbb aae fbbd eaa fbbd aac fbbd eaa fbbd cagbbd egbbd dbbg dbbgae dbbfcaa dbbf aac dbbf eaa dbbf aac dbbf eaae dbbf cac bbbf eaae fbbbf caa fbbbf aae fbbb caa fbbd aac fbbd eaa bbd cac bd eaae d cac aae caa aae ```  Area B contains an intersection. I can confirm there's two intersections in there.

2

```palette Key,Color ,#fefefeff a,#fe0404ff b,#0909feff c,#ff7575ff d,#5f5fffff e,#ffbcbcff f,#bbbbffff g,#f7343bff ``` ```image f bd b aa db ggcg bf ga a fb ca ea bd ca ae b ea ea db ea ae b a a fb a gc bf ae a b ae cg dd ac a b ac ea fb ag ae bf gg a b ga ac dd ca a b ca gg fb ea a fb bf ea ca fb b ea a fb bd a ea db bae ae db gb a db aebf gc bb ac fb a bb ac bd cg bb ag b a bd gg db ea bd ga b ae bd ca fb ea bd ca bf ae bf ea b a bf ea dd gc bf a b a bf a fb cg fb ae bf a fb ae b eafb ac dd gb b dba fb db ac bf db a b bb gg bd bb a b bb ca db bd a bf bd ea fb bd ae bd bd a b bf gc db bf a b bf cg fb fbf a bf fb ea b fb ae dd fb ea b db ae fb db a bdb gc b a cg a ea ae a ac a gg a ca a ea ae a gc a cg a ```

I'm curious to see if this image contains any intersection points. My next step is to analyze the details within each area.  ```palette Key,Color ,#fefefeff a,#fd0606ff b,#0707fdff c,#ef9992ff d,#4c53edff e,#a2a8f3ff f,#f14a44ff g,#afd6afff ``` ```image c ac a a a a ca a cf bbe a ebe bd ffgggggggggggggg bb bb gagggggggggggggg bd db gacggggggggggggg db ebe ggaggggggggggggg bb be ggacgggggggggggg ebe bd ggcagggggggggggg bb db gggagggggggggggg bd eb gggcaggggggggggg db ebe ggggaggggggggggg bb bd ggggffgggggggggdbe bb gggggaggggggggbb db gggggffggggggbdg eb ggggggaggggdbggg be ggggggacggbbgggg bd gggggggadbeggggg bb gggggggbbggggggg db ggggggbdaggggggg ebe ggggdbggaggggggg bd gggggggggggggggggg gggbbgggcagggggg bb gggggggggggggggggg gdbegggggagggggg db gggggggggggggggggg bbgggggggffggggg eb gggggggggggggggggg ebdgggggggggaggggg begggggggggggggggggg db ggggggggggffgggg bdggggggggggggggggg bd gggggggggggagggg bbgggggggggggggggg gggggggggggacggg gdbggggggggggggggg ggggggggggggaggg ggebgggggggggggggg ggggggggggggaggg ggggbdgggggggggggg ggggggggggggcagg gggggbdggggggggggg gggggggggggggagg ggggggbbgggggggggg gggggggggggggcag gggggggdbggggggggg ggggggggggggggag ggggggggebeggggggg ggggggggggggggff ggggggggggbdgagggg a gggggggggggbbggggg fc ggggggggggfadbgggg a gggggggggfaggdgggg ac ggggggggaagggggggg a gggggggafggggggggg a ggggggafgggggggggg ca gggggacggggggggggg a gggcaggggggggggggg ca ggcagggggggggggggg a gfaggggggggggggggg ff aagggggggggggggggg a aaggggggggggggggggg fc afgggggggggggggggggg a ac gggggggggggggggggg ac a gggggggggggggggggg a ca gggggggggggggggggg a fa gggggggggggggggggg ca fa a aa ca af a ac ff ac a ca fc fa a fa ac aa a af a ac ca ac a ca cf ca a fa ff aa a af fc ac a ac aca a ```  Here's a close-up of the area A.  ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0a08fcff c,#fd7576ff d,#5958fdff e,#afaefeff f,#ff3636ff g,#feb4b4ff ``` ```image gaa fac gaa fac gaa aag caf aag caf aag cac gaa fac gaa fac gaa aag caf aag caf aag d cac ebb gaa dbbb fac ebbbd gaa ebbbe fac dbbd gaa ebbbe aag dbbbe caf ebbbd aagebbbe cabbbd ebbbe dbbbc ebbbdaa ebbbe fac dbbd gaa ebbbe fac dbbd gaa ebbbd aag ebbbe caf dbbd aag ebbbe caf bbd aag bd fac e gaa fac gaa fac gaf aag caf aag caf aag fac gaa fac gaa fac gaf aag caf aa ```  There is an intersection point visible in this close-up of area A. Moving on to the next area. This close-up of area B is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0705fdff c,#ff7f7fff d,#4b4bfeff e,#a6a6ffff f,#fb3a3eff g,#ffc4c4ff ``` ```image e bd bbd ebbbe dbbe dbbd ebbd ebbb ebbbe dbbe dbbd ebbd ebbbe bbbe dbbe dbbd ebbd ebbbe dbbe fg dbbd faa ebbdfaag ebbbfg gabbbe caafdbbe caac dbd faac e faag gfaag gaaag gaaf caaf caac faac faag gfaag gaaag gaaf caaf caac faac faac gfaag aaag af f ```  Bingo! This close-up reveals an intersection in area B! There are precisely two intersections present in the image.

2

```palette Key,Color ,#fefefeff a,#ff0606ff b,#0807feff c,#ff8d8dff d,#5655feff e,#afafffff f,#ff4646ff g,#ffcfcfff ``` ```image g ac a ag ga a ca a cf bbe a ebe bd fc bb bb a bd db ac db ebe a bb bd ag ebe bb ga bb db a bd db ca db ebe a bb bd cf ebe bb a bb db fc ebd eb a db be ac bb bd aebe bb bb db ebda ebe db a bd bd ca bb ebe a db bb cf eb ebd a ebe db fc bd bd a bb ac db a eb ag be ga bd a bb ca db a ebe ff bd a a bbg fc cadb a fa e ac aa a af ag af ga ac a gag ca ca a fa ff fa a af fc af a ac ac gag ga ca ag fa ga fa a af ca af a ac ff gag a ca fc ca a fa ag aa ga af ag ac ga gag a gag cf ca a fa ff aa a af fc ac a gag acag ga ```

I'm curious to see if this image contains any intersection points. Zero, Nada.

0

```palette Key,Color ,#fefefeff a,#ff3536ff b,#0909ffff c,#ff0202ff d,#6363ffff e,#ff9595ff f,#ffd3d3ff g,#b3b3ffff ``` ```image g gdbbbbbbbbd gdbbbbbbddg bbd gdbbbbbbddg dbb gddbbbbbbdg gbbg bbbbbdg bbd dbb gbbg bbd dbb dbbg gbbg bbd dbb gbbg bbd dbb gbbg gbbd bbd d faccccaaeeff facce feeeaaccccccccccaaeeff facce feeeaaccccccccccaaeeff facce feeeaaccccc facce facce facce facce facce facce facce facce cce ```

I'm approaching this image with caution. Intersections might be tricky to spot. These areas seem to enclose narrow spaces where lines might be close.  ```palette Key,Color ,#fefefeff a,#f65d59ff b,#0607feff c,#a1a4faff d,#afd5afff e,#fe0404ff f,#ffc9c9ff g,#5456f9ff ``` ```image f aeef e feef fe feef ef feef e feef ef feef e feef aa feef e feef aa feef e feef fe feef e feef fe feef ef feef e feef ef feef e feef aa feef e feef aa feef e fee fe f e fe ef e ef e aa e aa e fe e fe ef e ef e aa e aa e fe e fe ef e ef e aa e aa e fe e fe ef e ef e aa ddddddddddedddd dddddddddaadddd dddddddddeddddd ddddddddaeddddd ddddddddedddddd ddddddddedddddd dddddddeddddddd dddbgcdeddddddd ddddgbbbbbgdddd ddddddeddcgbbbbgc dddddaaddddddddcbbbbbc dddddeddddddddd cgbbbbgc ddddaeddddddddd cgbbbbg ddddedddddddddd cgbbbbgc ccccccccggggggggbbbbbbbbbbbbbbbbbbbbbbbbb dddaedddddddddd cgbbbbbggggggggcccccccc dddeddddddddddd ddddddddddddddd ```  Let's get to the bottom of what's happening inside area A.  ```palette Key,Color ,#fefefeff a,#f84249ff b,#0404feff c,#b5b5feff d,#fd8688ff e,#fd0406ff f,#ffc9c9ff g,#594df3ff ``` ```image feef aea feef dea eef dea eed dee aed fee aed feef aea eef dea bggcc eef cbbbbbbbggcc ccggbbbbbbbbggcc deaggbbbbbbbbggcc aed cggbbbbbbbb fee ccggbb aed feef aea eef dea eef dee eed dee aed fee dd ```  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,#ff4848ff b,#0606ffff c,#ababffff d,#ff8c8cff e,#ff0303ff f,#ffd1d1ff g,#5555ffff ``` ```image f deef e feef fe feef ef feef fe feef ed feef e feef ad feef e feef aa feef e feef de feef e feef fe feef ef feef e feef ed feef e feef ad feef e feef aa feef e fee de f e fe ef e ed e ad e da e de e fe ef e ed e ad e da e de e fe ef e ed e ad e da e de e fe ef e ed e ad e da e de e fe ef bgc e cgbbbbgc e cgbbbbgc aa cbbbbbc e cgbbbbgc da cgbbbbgc e cgbbbbgc cccccccccggggggggbbbbbbbbbbbbbbbbbbbbbbbbb de cgbbbbbggggggggccccccccc e ```

Time to put on my detective hat and find those intersection points! Could these regions be concealing intersection points? Let's find out.  ```palette Key,Color ,#fefefeff a,#595ff4ff b,#fe0605ff c,#0808feff d,#f49d98ff e,#aeaeffff f,#f1494aff g,#aed5aeff ``` ```image ggggggggggggggggg ggggggggggggggggg ggggggggggggggggg ggggggggggggagggg ggggggggggggcgggg ggggggdffbbcfgggg ddfbbbbbbbffddgcggggg dffbbbbbbbffddggggggggggcgggggg ddffbbbbbbbfdd gggggggggacgggggg bbbbbbbfdd gggggggggcggggggg bd ggggggggacggggggg db ggggggggcgggggggg b gggggggcagggggggg ff gggggggcggggggggg b ggggggcaggggggggg bd ggggggcgggggggggg db ce b ec ff c b ac b c db aa b c bd ce db c b ce ff ec b c bd ec db c b aa ff c b ca bd c db ce b ec bd c b ec b c fb aa b c bd ca db c b ce ff c b ce bd ec db c b ac ff c b aa b c db ce b c bd ce b ec b c gggggggggfbgggg ac gggggggggbggggg c ggggggggbdggggg aa gggggggdbgggggg c gggggggbggggggg ce ggggggffggggggg c ggggggbgggggggg ce gggggbdgggggggg ec ggggfbggggggggg c gggccgggggggggg ec gggbfccaggggggg c gggdgggccaggggg aa gggggggggccaggg c gggggggggggaccg ca gggggggggggggacce c gggggggggggggggecce ce ggggggggggggggg cca ec ggggggggggggggg aca c ggggggggggggggg acc ec ggggggggggggggg ecce c cce aa cca c acc aa ecc c eccece cc ```  This close-up of area A is like examining a piece of evidence.  ```palette Key,Color ,#fefefeff a,#473ff7ff b,#fe0a0aff c,#0504fdff d,#ffb6b6ff e,#847ef9ff f,#f96166ff g,#c3c2feff ``` ```image fbb dbbd bbf fbb bbd fbf dbbd bbf fbb dbbd fbf dbb bbf fbb dbbd bbf dbb aebbd gcccag eccccag bbfacccag dbb gacccae dd ecccce ecccceg gacccag gacccag gecccc ecc e ```  Aha! I've found an intersection inside area A! I'm ready to analyze the next area. Let's zoom in on area B to get a clearer view.  ```palette Key,Color ,#fefefeff a,#5246f2ff b,#fe0304ff c,#0807fdff d,#fe9798ff e,#9696ffff f,#f8484eff g,#edd7e9ff ``` ```image eg ecc cce ggaccd ggdddfffbbbbccff ggdddfffbbbbbbbbbbbbbaccfd bbbbbbbbbbbbbbfffdddgggcce bbbbfffdddgg aca g gccg aca eccg cce ecc cce eca gcce aca gccg aca eccg cce ecc cce ```  Aha! I've found an intersection inside area B! I've identified a total of two intersection points.

2

```palette Key,Color ,#fefefeff a,#5555ffff b,#ff0505ff c,#0707feff d,#fc9496ff e,#a1a1ffff f,#fb4649ff g,#ecd7eaff ``` ```image e c gddfbbcf gddfbbbbbbbffdggc gdffbbbbbbbfddg cg gdffbbbbbbbfddg ec bbbbbbbfddg c bd ac db c b aa ff c b ce bd gc db cg b ec ff c gb ec bg c db aa b c bd ce gb gc bg ce ff ec b cg bd ec db c b aa ff c gb ca bg c db ce b gc bd cg gb ec bg c ff aa b c bd aa gb c b ce ff gc b cg bd ec db c b ac ff c gb aa bg c db ce b gc bd cg gb ec bg c ff ec b c bd aa db c b ce ff c b ce bg ec db cg ccg ec bdcce c g gcce aa aca c acc ca eccg c gcce ce cca gc aca cg accg ec ecce c gcce aa cca c acc aa eccg c eccece gcc ```

I'm examining this image closely. My goal: find any and all intersections. These regions highlight areas that look suspicious. Lines seem to converge within them.  ```palette Key,Color ,#fefefeff a,#0b0bfcff b,#d76e68ff c,#ffababff d,#96c897ff e,#b1d6b1ff f,#6e75eeff g,#fe0808ff ``` ```image c gc g gc g gc g gc g gc g gc g degbeeeeeeeeeeed eeegeeeeeeeeeeed eeegbeeeeeeeeeed aa eeeegeeeeeeeeeed faaafaf eeeegbeeeeeeeeed faaa a eeeeegeeeeeeeeed eaaaf fa eeeeegbeeeeeeeed faaaf af eeeeeegeeeeeeefaaf a eeeeeegbeefaaafd ea eeeeeeebaaafeeed af eeedaaaabeeeeeed a faaafeeegeeeeeed ea faaadeeeeeegbeeeeed af af eeeeeeeeegeeeeed a eeeeeeeeegbeeeed a eeeeeeeeeegeeeed af eeeeeeeeeegbeeed a eeeeeeeeeeegeeed a eeeeeeeeeeegbeed fa eeeeeeeeeeeegeed a ddddddddddddgbde a g fa gc ae g a gc fa g ae gc a g fa gc af g a gc fa g af gc a g fa gc af g a gc ea g af gc a g ea gc af g a gc a g af gc a g a gc ddaaddddddddddddde g eeeadeeeeeeeeeeeed gc eeeeaeeeeeeeeeeeed g eeeefaeeeeeeeeeeed gc eeeeeadeeeeeeeeeed g eeeeeeaeeeeeeeeeed gc eeeeeefaeeeeeeeeed g eeeeeeeafeeeeeeeed gc eeeeeeeeaeeeeeeeed g eeeeeeeefabbgggggd gc cbbggggggggabbdeeeed g ccbgggggggggbbbeeeeeeeeaeeeeeed gc ccbgggggggggbbc eeeeeeeeeefaeeeeed ggggbbc eeeeeeeeeeeafeeeed eeeeeeeeeeeeaeeeed eeeeeeeeeeeefaeeed eeeeeeeeeeeeeafeed eeeeeeeeeeeeeeaeed eeeeeeeeeeeeeefaed eeeeeeeeeeeeeeeafd ddddddddddddddddae ```  This close-up might reveal an intersection in area A.  ```palette Key,Color ,#fefefeff a,#4f4fffff b,#fd1b1cff c,#fe9495ff d,#a4a4ffff e,#0605feff f,#7d0283ff g,#ff0000ff ``` ```image cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc dae cgb ddaeeee bgc daeeeeeadd cgb daeeeeead bfeeeeeead daeeeeead daeeeeeffc daeeeeeead cgb daeeeeead bgc aeeeeead cgb eeadd bgc d cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc cgb bgc ```  I observe an intersection inside area A. 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,#2e29f9ff b,#fc4e51ff c,#fe9b9cff d,#bcbcffff e,#0303feff f,#726dfaff g,#fe0505ff ``` ```image deed aea eef deed fea eef deed fea aef deed fea aef deed fea aef deed fee aef deed ccccbc feeccbbbgggggggggb ccccbbbggggaeagggggggggbbbcc bbbgggggggggggggggbeefcccc ggggggggbbbcccc fee cccc aea deef feed aea eef deed aea eef deed fea eef deed fea aef deed fea aef ```  I've cracked the case! This area contains the intersection. The image features two intersection points.

2

```palette Key,Color ,#fefefeff a,#423af6ff b,#ff5252ff c,#fea5a6ff d,#c5c5ffff e,#0505feff f,#837ffbff g,#ff0707ff ``` ```image c gc g gc g gc g gc g gc g gc g gc g gc dae g feeefef gc feead e g daeef fe gc feeed ef g aeead e gc deeef de aeeed ef daeeac e feeef g de feead gc aa ef g e gc de g aa gc ed g de gc aa g ed gc e g aa gc ed g e gc fe g ed gc e g fe gc ef g e gc fe g ef gc e g fe gc ef g e gc de g ef gc e g de gc aa g e gc de g aa gc ed g de gc aa g ed gc e g aa gc ed g e gc fe g ed gc e g fecbggggg gc ccbggggggggefcc g ccbbgggggggbbcc e gc ccbbggggggggbcc fe ggggbbc ef e de ef e de ef e ```