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Here's an image. My task is to find intersections or areas where lines come close together. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0706ff b,#0a0bfcff c,#eb938aff d,#7b89e1ff e,#ee4e46ff f,#eff2efff g,#b0d7b0ff ``` ```image c ac a ac a ec a ec a ee a ee a ee a ee a ee a ee a ce a ce a ca a ca a ca a ca af ca af ca af ca af fa af fa af fa af fffffffffffffffffffffffffffffffffffffffffffffffff fa fgggggggggggggggggggggggggggggggggggggggggggggggggf af fgggggggggggggggggggggggggggggggggggggggggggggggggf fa fgggggggggggggggggggggggggggggggggggggggggggggggggf ac fgggggggggggggggggggggggggggggggggggggggggggggggggf fa fgggggggggggggggggggggggggggggggggggggggggggggggggf ac fgggggggggggggggggggggggggggggggggggggggggggggggggf fa fgggggggggggggggggggggggggggggggggggggggggggggggggf ac fgggggggggggggggggggggggggggggggggggggggggggggggeaf fa fgggggggggggggggggggggggggggggggggggggggggggggaaegf ac fggggggggggggggggggggggggggggggggggggggggggcaacgggf a fggggggggggggggggggggggggggggggggggggggggeaaggggggf acfggggggggggggggggggggggggggggggggggggggaaeggggggggf afgggggggggggggggggggggggggggggggggggcaacggggggggggf acgggggggggggggggggggggggggggggggggeaagggggggggggggf agggggggggggggggggggggggggggggggaaegggggggggggggggf aegggggggggggggggggggggggggggcaacgggggggggggggggggf bf fagggggggggggggggggggggggggeaaggggggggggggggggggggf fbbf faeggggggggggggggggggggggaaeggggggggggggggggggggggf fbbf fgagggggggggggggggggggcaacggggggggggggggggggggggbbf fbbd fgaeggggggggggggggggeaaggggggggggggggggggggggdbbdgf fbbd fggaggggggggggggggaaegggggggggggggggggggggdbbdggggf fbbd fggeeggggggggggcaacgggggggggggggggggggggbbbgggggggf fbbd fgggaggggggggeaagggggggggggggggggggggbbbdgggggggggf fbbd fgggeegggggaaeggggggggggggggggggggdbbdggggggggggggf fbbd fggggaggcaacgggggggggggggggggggdbbbgggggggggggggggf fbbd fggggeaaaggggggggggggggggggggbbbdgggggggggggggggggf fbbd fgggggegggggggggggggggggggdbbdggggggggggggggggggggf fbbd fggggggggggggggggggggggdbbbgggggggggggggggggggggggf fbbd fggggggggggggggggggggbbbggggggggggggggggggggggggggf fbbd fgggggggggggggggggdbbdggggggggggggggggggggggggggggf bbdfggggggggggggggdbbdgggggggggggggggggggggggggggggggf bbdggggggggggdbbbggggggggggggggggggggggggggggggggggf fbbdggggggbbbdggggggggggggggggggggggggggggggggggggf fggbbdgdbbdgggggggggggggggggggggggggggggggggggggggf ffffbbbffffffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0707feff c,#ffb9b9ff d,#5353ffff e,#ff7171ff f,#ff3737ff g,#a6a6ffff ``` ```image cea cfaaa eaaaaec ceaaaae cfaaafc eaaaaec ceaaaae cfaaafc eaaaaec ceaaaae cfaaafc eaaaaec e ceaaaae a cfaaafc ae eaaaaec aa ceaaaae fae cfaaafc caa eaaaaec fae ceaaaae caa cfaaafc fae eaaaaec caa ceaaaae g fae cfaaafc gdb caa eaaaaec gdbbbb fae ceaaaae gdbbbbdg caa cfaaafc gbbbbbd fae eaaaaec gdbbbbdg caa ceaaaae gdbbbbdg fae cfaaafc dbbbbbg caa eaaaaec gdbbbbdg fae ceaaaae gdbbbbdg caa cfaaafc gdbbbbdg fae eaaaaec gbbbbbdg caac ceaaaae gdbbbbdg fae cfaaafc gdbbbbdg caac eaaaaec gbbbbbg fafaaaae gdbbbbdg caaafc gdbbbbdg eec gdbbbbbg gdbbbbdg gdbbbbdg gdbbbbdg gbbbbbd gdbbbbdg gdbbbbdg dbbbbbg gdbbbbdg g gdbbbbdg bbg gdbbbbdg bbbbg gbbbbbdg gbbbbg gdbbbbdg gbbbbg gdbbbbdg ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0808ff b,#0808ffff c,#ffa4a4ff d,#5c5cffff e,#ff5a5aff f,#f4e4eeff g,#a6a6ffff ``` ```image c ac a ac a ae a ee a ee a ee a ee a ee a ee a ee a ee a ea a ca a ca a ca a ca af ca af ca af ca af ca af fa af fa af fa ac fa ac fa ac fa ac ea fa faae ac caac a eaaf ac faae a caac ac eaaf a faae ac caac bg a eaaf fbbg ae faae fbbg a caac fbb fbbg ee eaaf dbbg fbbg a faae gbbd fbbg ee caac fbbbf fbbg a eaaf dbbg fbbg ee faae gbbd fbbg a caac gbbdf fbbg eaaaf fdbbg fbbg e dbbg bbg gbbd bbg fbbbf bbg dbbg bbg gbbd bbg fbbbf bbg dbbg bbg dbbd bbd ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#0607fdff b,#fc0d0cff c,#5253f0ff d,#f17b74ff e,#a4a5fbff f,#b2d7b1ff g,#98c797ff ``` ```image f bd a b a fb a bd ea b a db cc bd a b ac db a b ae b ea bd a b ea b a bd cc b a db ae bd a b ae db ea bf a b ea b db a bd b cc db b a bb bd fgggggggggggggggggggggacgggggggbd b gfffffffffffffffffffffaffffffdbd fb gffffffffffffffffffffagfffffbbff bd gfffffffffffffffffffeafffffbbfff b gfffffffffffffffffffafffffbdffff db gffffffffffffffffffcafffdbgfffff bd gffffffffffffffffffafffbbfffffff b gfffffffffffffffffccffbbffffffff db gfffffffffffffffffafgbdfffffffff b gffffffffffffffffacdbfffffffffff b gfffffffffffffffgabbffffffffffff bd gfffffffffffffffabdfffffffffffff b gffffffffffffffcadffffffffffffff b gfffffffffffffbaffffffffffffffff bd gffffffffffffbcaffffffffffffffff b gfffffffffffbdafffffffffffffffff db gfffffffffdbgacfffffffffffffffff bd gffffffffbbffaffffffffffffffffff b gfffffffbbffaeffffffffffffffffff db gfffffgbdffgafffffffffffffffffff bf gffffdbffffagfffffffffffffffffff b gfffbbffffcaffffffffffffffffffff db gffbdfffffafffffffffffffffffffff b gdbgfffffccfffffffffffffffffffff b bbfffffffaffffffffffffffffffffff bd bbgggggggacgggggggggggggggggggggg b bd a fb db ae bd bb ea b bb a dbd ea a cc a ae a ae ea a ea a cc e a caac ae eaaae a ecaac ae caaae ea eaaac a caace ca eaaae a caac cc eaaae a ecaac ae caa ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0506ff c,#4f45f4ff d,#fe7e7eff e,#a7a4fcff f,#fa3c41ff g,#ffc4c4ff ``` ```image aae db eaa gfbb aae gbbbg cac dbbfg eaae fbbd cac gfbbd eaa gbbbg cac dbbf eaa fbbd aae gbbbg eaa dbbfg aae dbbf cac gfbbd eaae gbbbg cac dbbf eaa fbbd aae gfbbd eaa gbbbg aae dbbf cac fbbd aaebbbg cacbbfg eaabbf cacbd eaabg daac ffaa gbbaae gbbcac dbbfaae fbbdcac gbbbgeaa dbbfg cac fbbf eaa gfbbd aae gbbbg eaa dbbf aae fbbd cac gbbbg aae dbbbg cac dbbf eaa fbbd cac gbbbg eaa dbbfg aae fbbf eaa gfbbd aae gbbbg cac dbbf eaae fbbd cac ``` <!-- end of image --> My analysis confirms the presence of an intersection in area A. There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0506ff c,#4845fcff d,#ff9595ff e,#9291fdff f,#ff4444ff g,#e8d4eaff ``` ```image d ff a b ga db ag bd ea b a db cc bd a b ce ff a bg ae gb ga ff ag b ea gb a bd cc b a db ae bd a b ag db ga bg ag b ea b ff a gbd bg cc dbg gb a bb ff ae bf b ga dbd db ag fb bd ea bb b a gbd db ec dbg bd a fb b cc bf ff a gbd bg aedb gb gabb ff abf b eag gb fa bd bcc b gbda db dbgcc bd fb a b bf ae db gbd ga bg fb ag b bb ea ff bf a bg dbg cc gb fb a ff bb ce b gbd a db dbg ae bd fb ga b bf ag dbd ea a cc a ae ga ag ga a ea a cc e a caacg ae eaaae ga gcaac ag eaaae ea eaaae a caacg ec eaaae a gcaacg cc eaaae a gcaac ae eaa ``` <!-- end of image -->
I have an image in front of me. I need to determine if there are any intersection segments. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0708fdff c,#f5a5a0ff d,#9da2f6ff e,#ef5451ff f,#4a4fecff g,#aed5aeff ``` ```image d bb bf dbd fb bb bf dbd fb bb bd db bb bf dbd fb bb bf dbd bb fb dbbd bb bbd bd fbf ggggggggggggggggggggggggggggfb dbb gggggggggggggggggggggggggggbb dbbd ggggggggggggeacgggggggggggbfg bbf ggggggggggggagaeggggggggdbdgg fbb gggggggggggaeggaaggggggfbgggg dbbd ggggggggggcaggggeaggggbbggggg bbdggggggggggagggggggaegbfgggggg fbfgggggggaeggggggggebgggggggg gfbbgggggaggggggggfbeaggggggg gggdbbdgaggggggggbbggcacggggg ggggggbbfgggggggbfgggggaagggg gggggggafbbgggfbggggggggaaggg ggggggagggfbbbbggggggggggeagg gggggeaggggggfgggggggggggggae gggggaggggggggggggggggggggggaa ggggacgggggggggggggggggggggggea gggeagggggggggggggggggggggggg cac gggaggggggggggggggggggggggggg ae ggaeggggggggggggggggggggggggg ea ca cac a ae ae aa ca ea a ac ee aa a ea a cac ee ae a aa ac ca ea ac a aa ac ea ca cac a ae ac aa ca c a ae a a ee a ac ea a ac ca a ac ca a ae ca a ee a a ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0908fdff c,#fd7d7fff d,#b2b2feff e,#fa3e43ff f,#5f5bfaff g,#ffc0c0ff ``` ```image db eeg dbb caaag fbbf aaaaac fbbf eae caae dbbbd gaag gaaag dbbb aac geaac fbbf eae eaae bbbd gaag caaeg dbbbd aac gaaag fbbf caa eaac fbbf bfd gaag caaebbbd bbbfd eac gebbbd dfbbbbd caa fbbbac fbbbbf gaag fbbfeaae dbbbbfd eae dbbbd caaeg dfbbbbd caa dbbb gaaag dfbbbbfaac fbbf eaac fbbbbfd bbbd caae fbbbbfd dbbbd gaaag aacfbbbbd fbbf geaac eae fbbbbf fbbf caae gaag dbbbbfbbbd caaag aac dfbbbbd gaaa cae dff ea gaag c aac caa gaag eae caa gaag eae caa ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0707ffff c,#ff9a9aff d,#9a9affff e,#fb4c4fff f,#4b48fbff g,#f0d7e6ff ``` ```image d fb bf gbd fb bb bf dbg fb bb gbd dbg bb bf gbd fb bb bf dbg bb fb dbbd bf gbbd gbd fbf dbg dbbg bb dbbd cac bf bbf a ae dbd fbb ac aa fb dbbd ca cag bb gbbd a gae bf fbf ae ebg dbbg ga fbea dbbd ag bf gac bbf gbd ae gafbb dbg ea ag dbbbb cag ea gf ae a aa ac ea ca gac a ae ac ea ca cag a ae ae aa ga eag ag gac ee aa ga ea ag cag ee ae a aa ag cag ca gac a aa ac ea ca cac a ae ac aa ca c a ee ga ag ee ga ag ea a ac ca a ac ca a ae ga ag ee ga ag ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#ec726bff b,#0707fcff c,#fc0c0bff d,#a9aafdff e,#b1d7b1ff f,#5259ecff g,#9ac498ff ``` ```image dbbb dbbb ff fbbd b fbbd db dbbf b dbbf db bbbd bd fbbd egacgggbggggggggggggggggggggggggggggggggg fbbf gecgceebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbbf gcaeaceebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbbb gceeecceffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fbbd cgeeeeccebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fbbd aceeeeeecafbeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d cgeeeeeeecgbeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cageeeeeeeecgbeeeeeeeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeegcbgeeeeeeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeacbeeeeeeeeeeeeeeeeeeeeeeeeeeee ac geeeeeeeeeeabfeeeeeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeecbeeeeeeeeeeeeeeeeeeeeeeeeeee ca geeeeeeeeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeefbeeeeeeeeeeeeeeeeeeeeeeeee ac geeeeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeeegbceeeeeeeeeeeeeeeeeeeeeee ca geeeeeeeeeeeeeeebaceeeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeeeeebcceeeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeeeeebfcaeeeeeeeeeeeeeeeeeeee ac geeeeeeeeeeeeeeeeebecaeeeeeeeeeeeeeeeeeee c geeeeeeeeeeeeeeeeeffecgeeeeeeeeeeeeeeeeee ca geeeeeeeeeeeeeeeeeebeeceeeeeeeeeeeeeeeeee c geeeeeeeeeeeeeeeeeefbeaceeeeeeeeeeeeeeeee c geeeeeeeeeeeeeeeeeeebeeaceeeeeeeeeeeeeeee ac geeeeeeeeeeeeeeeeeeefbeecceeeeeeeeeeeeeee c geeeeeeeeeeeeeeeeeeeebgeecaeeeeeeeeeeeeee ca geeeeeeeeeeeeeeeeeeeegbeeecaeeeeeeeeeeeee ec geeeeeeeeeeeeeeeeeeeeebfeeecgeeeeeeeeeeee c geeeeeeeeeeeeeeeeeeeeeebeeeeceeeeeeeeeeee ac geeeeeeeeeeeeeeeeeeeeeebfeeegceeeeeeeeeee c geeeeeeeeeeeeeeeeeeeeeeebeeeeaceeeeeeeeee ca geeeeeeeeeeeeeeeeeeeeeeefbeeeecceeeeeeeee ec geeeeeeeeeeeeeeeeeeeeeeeebeeeeecceeeeeeee c geeeeeeeeeeeeeeeeeeeeeeeefbeeeeecaeeeeeee aa geeeeeeeeeeeeeeeeeeeeeeeeebgeeeeecgeeeeee c geeeeeeeeeeeeeeeeeeeeeeeeegbeeeeeeceeeeee ca geeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeegceeeee ec geeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeaceeee c geeeeeeeeeeeeeeeeeeeeeeeeeeebfeeeeeeaceee aa geeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeccee c geeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeecae ce geeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeca ac geeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeeeeeeegc c b c ca db ec c bd ac ce b cc ac bd ca c b ca ca ff c c b c db ac b c db ca bd c b c bd ac b c ff b fb b db bd b bd b ff b ff b ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#f6363eff b,#0907fdff c,#fe0405ff d,#aeadfeff e,#fb7c80ff f,#5b55f9ff g,#fec3c3ff ``` ```image ecca bbd cccca dbb ecagcce bbf gccg gcce dbb ace eccg fbf ecc eccg dbbd cce acc fbf aca aca bbd ccg gcca fbb ce gcce bbd c gcce dbb e eccg bbf eccgdbb accgfbf acadbbd ccafbf gccebbd gccfbb eccbbd ecabb acbbd aabb abbf gabb gbbf ebbe fbbg bbag fbba bbaa dbbca bbfce dbbcce fbfccg dbbeccg fbfacc bbdaca fbbgcca bbdgcce dbb gcce bbf eccg dbb eccg fbf accg dbbd aca fbf cca bbd gcce fbb gcce bbd eccg dbb eccg bbf accg dbb aca fbf aca dbbd gcca fbf gcce bbd gcce fbb eccg bbd eccg dbb acc bbd aca dbb gcca fbf gcce dbb gcce fbf eccg dbbd eccg fbf accg bbd aca fbb cca bbd gcce dbb gcce bbf eccg dbb eccg fbf accg dbbd aca fbf cca bbd gcca fbb gcce bbd ecce dbb eccg bbf accg dbb acc fbf aca dbbd gcca fbf gcce bbd gcce fbb eccg bbd ecc dbb ac ``` <!-- end of image --> Area A contains an intersection. The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fd4b4dff b,#0504feff c,#fe0707ff d,#9897feff e,#fe9898ff f,#4844fbff g,#edd5e7ff ``` ```image g dbbb gbbfg ff fbbd b fbbd db dbbf bg dbbf gb gbbbg bd fbbd ec b dbbd cgc fd dbbf aa ec b gbbfg gc ac ff fbbd cg ca b fbbd ec cedb d c cgbg ca cgb gc gcbd cg ecb ec abd c cb ce ff gc be cg dbg ec bc c dbc ce bac gc gbaa cg bdca ac b ce c ff cg ce b gc gc df ec cg b ec aa db ac c bg ca ce gb ce gc bd cg c b c aa ff gc c b ec ce ff ac ec b ca c db ce aa bg cg c gb c ce bd gc ec b ec c fd ac aa b ca c ff ca ce b ce ec db cg c bg gc aa gb ec c bd ac cg b ac ec bd ca c b ce aa ff c gc b cg db ec b c db aa bg gc gb cg bd ec b c ff b df b db bg gb bd b ff b ff b ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0b0cfcff c,#fca09eff d,#7378eeff e,#f0554eff f,#9ac596ff g,#b0d6b1ff ``` ```image d db b b bd ca bd aea bb ca ac db a a b a ca b ac ac b a a bd ac ca bd a ac db ac a db a ca b ac ac b a a bg ee ca bd a ae bb ee afgggggggggggggfdb a fagggggggggggggdb ee faeggggggggggggb a fgagggggggggggbf ee fgfagggggggggbdg a fggaegggggggbbgg ca fgggaggggggbbggg a fgggfaggggdbgggg ca fggggaeggfbggggg a fgggggaggbgggggg ca fgggggfabfgggggg a fggggggbdggggggg ca fgggggbbafgggggg a fggggdbggagggggg a fgggdbgggeaggggg ac fgggbgggggafgggg a fggbgggggggagggg gffffffffffffaef fgbdgggggggeaggg fggggggggggggagg fbdgggggggggafgg fgggggggggggaegg bbgggggggggggagg fgggggggggggaggg dbggggggggggggeag fggggggggggaeggg bfgggggggggggggaf fggggggggggagggg b fgggggggggggggga fgggggggggeegggg b gffffffffffffffea fgggggggggaggggg bd ac fggggggggeeggggg bb a fggggggggagggggg db ca bbbbdd fgggggggeegggggg db ac ddbbbbbbddgaggggggg b a fgggddbbbbbbddgg b ca fggggggagggfdbbbbbbbdg bd ac fgggggeagggggggg ddbbbbbbddbd a fgggggaggggggggg ddb ca fggggcaggggggggg ac fggggagggggggggg a fgggfagggggggggg ca fgggafgggggggggg ac fggfaggggggggggg a fggafggggggggggg ca fggagggggggggggg ae fgacgggggggggggg a gfafffffffffffff ca ac ae a a ac ca a ee ec a a a ee ee a a ee a ee a ca a ca a ca a ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0607ff b,#0705fcff c,#ff8787ff d,#adaafcff e,#ff4848ff f,#5957fdff g,#ffcacaff ``` ```image aag cae aac caa aac caa aac caa eac gaa eac gaa eac gaag eae gaag eae gaag eae gaag cae bffddd aag bbbbbbbbfffdd cae ddfffbbbbbbbbbbbbfddd dddffbbbbbbbbbbbfffdd aadfffbbbbbbbbbbb caa dddffbbbb aac d caa aac caa aac gaa eac gaa eac gaa eac gaag eae gaag eae gaag eae gaag cae aag ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area A. Time for a closer look at another area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0202ff b,#0707feff c,#ffbdbdff d,#b3b3feff e,#fe7070ff f,#564ef7ff g,#fb2a2eff ``` ```image ae aac eag gae caac eag d gae b caac fb eag fbb gae fbbd caac dbbd eaa dbbf gae bbf caac bbf eaa fbb gae fbbd caac dbbd eaa dbbd gag dbbf caac bbf eaa fbb gag fbb caafbbd egbbd dbbf bbfae bbfeaac fbb gag fbbd aae dbbd caac dbbd gag dbbf aae bbf caac fbb eag fbb aae fbbd caac dbbd eag dbbf aae dbbf caac bbf eag fbb gae fbbd caac bbd eag bd gae f caa ea g c ``` <!-- end of image --> Aha! I've found an intersection inside area B! The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0707ff b,#0606feff c,#ff9c9cff d,#9e9effff e,#ff5454ff f,#4f4cfbff g,#f1d7e4ff ``` ```image d db gb bg bd ca bf aea fb ga ac db ag a db ga ca b ag ac bg ga a bd ac ca bf a ac fb ac a db a ca gb ac ac b a a bd ee ca bf a ae ff ee a fb a ca db ee ae b a a bg ee ga bd a ae bf ca ag fb a ga db ca ee gb a ag b ca gabd ag bf ga bfag ag fb ga ga db ee ag gb ag ga bg ga ac bd ea a bf ag ac fb a a db ea ac gb ac a b a ee bg ea a bd ac ee bf a a fb ca bbbbfdg ee db ac gdfbbbbbfdd a gb a dfbbbbbbfdg bg ca a gdfbbbbbfdd bd ac ca dfbbbbbbfdbf a a gdff ca ca ac a a ga ca ag ac ga a ag ca ga ae ac a a ga ac ae a ag ac ga a ee ec ag a ga ee ee a a ee a ee a ca a ca a ca ag ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0606ff b,#0707ffff c,#ff8f8fff d,#5c5cffff e,#ff4444ff f,#b4b4ffff g,#ffcfcfff ``` ```image c ea ea ae ae ac gag gag ca ea ea aa ae ac ac gag ca ca ea aa ae ae ac gag gag ca ea ea ae ae ac ag gag ca ea ea aa ae ac gac eag cae aa db eac bb gae bd eag fbf cae db aa bb cac bd gaa fbf eag db gae bb aa bd cac fbf aa db eag bb gae bf aa db cac bb aa bd eag fbf gae db a bb bd fbf db bb bd fbf db bb bd fb bb bd fbf ffddbbbbb ffddbbbbbbbbbddff ffddbbbbbbbbbddff bbbbbddff ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4a52ecff b,#fc0707ff c,#0607fdff d,#ea6157ff e,#949dedff f,#b1d7b1ff g,#99c598ff ``` ```image e c ce ec c aa c ce c c e ec ce c c aa aa c c ce ec c c c ec ec c c c aa ce c c ce aa ec c c aa aa c c ec ce c c ec c ce ec c c ce aa c c aa ce c ec ec c c ec ec c fggggcgggggggggggggggggggggggggggggggggggggg ca gffffgcfffffffffffffffffffffffffffffffffffff c gfffffceffffffffffffffffffffffffffffffffffff ce gffffffcffffffffffffffffffffffffffffffffffff ec gffffffcafffffffffffffffffffffffffffffffffff c gfffffffcfffffffffffffffffffffffffffffffffffaa gfffffffaaffffffffffffffffffffffffffffffffffc gffffffffcfffffffffffffffffffffffffffffffffce gffffffffacfffffffffffffffffffffffffffffffgc bb gfffffffffcfffffffffffffffffffffffffffffffcg dbbd gfffffffffecfffffffffffffffffffffffffffffacf dbbd gffffffffffceffffffffffffffffffffffffffffcff dbbdfffffffffffcfffffffffffffffffffffffffffaaff bbbgffffffffcaffffffffffffffffffffffffffcfff gfgbbbfffffffcfffffffffffffffffffffffffcefff gffffdbbdffffaafffffffffffffffffffffffecffff gfffffffdbbdffcfffffffffffffffffffffffcfffff gffffffffffdbbacfffffffffffffffffffffacfffff gffffffffffffgbcbgfffffffffffffffffffcffffff gffffffffffffffecbbdffffffffffffffffcaffffff gfffffffffffffffcgfdbbdfffffffffffffcfffffff gfffffffffffffffgcffffdbbdfffffffffcefffffff gffffffffffffffffceffffffbbbffffffecffffffff gfffffffffffffffffcffffffffdbbgfffcfffffffff gfffffffffffffffffcafffffffffgbbdaafffffffff gffffffffffffffffffcffffffffffffbcdfffffffff gffffffffffffffffffaafffffffffffcadbbfffffff gfffffffffffffffffffcffffffffffgcfffdbbgffff gfffffffffffffffffffacfffffffffcgfffffgbbdff gffffffffffffffffffffcffffffffacfffffffffbbd gffffffffffffffffffffecfffffffcffffffffffffdbb gfffffffffffffffffffffcefffffaafffffffffffff fbbf gffffffffffffffffffffffcfffffcffffffffffffff bbd gffffffffffffffffffffffcafffceffffffffffffff dbd gfffffffffffffffffffffffcffecfffffffffffffff dbb gfffffffffffffffffffffffaafcffffffffffffffff fbbf gffffffffffffffffffffffffcacffffffffffffffff bbd gffffffffffffffffffffffffacfffffffffffffffff dbd gfffffffffffffffffffffffffffffffffffffffffff dbb gfffffffffffffffffffffffffffffffffffffffffff fbbf gfffffffffffffffffffffffffffffffffffffffffff bbd gfffffffffffffffffffffffffffffffffffffffffff db gfffffffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffffffffffffffffg ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4542fbff b,#fe0708ff c,#0505feff d,#fc575aff e,#cbcbffff f,#feababff g,#8888feff ``` ```image ecce aca ecce gca ccg gcc ccg gcc acg ecce aca ecce aca ecce g gca c ccg gc gcc ecc acg aca ecce ecce aca acg ecce gcc aca ccg ecce gca gca ecce df ccg aca bbbdf gcc ecce fbbbbbdf ccg ccg fdbbbbbd gcc gcc fdbbbbdf acg eccg fdbbbbdf ecce aca fdbbbbdf aca ecce dbbbbbdf ecce aca fdbbbbbf aca gcc fdbbbbdf ecce ccg fdbbbbdaca gca fbbbbccg ecce fdbdccbdf aca fccabbbf ecce eccdbbbbdf acg aca fdbbbbdf gcc ecce fbbbbbdf ccg aca fdbbbbbd aca ecce fdbbbbdf ecce gca fdbbbbdf aca ccg fdbbbbf gcce gcc dbbbbd ccg ccg fbbbbdf gcc gcc fdbbbdf eccg acg fdbbbbf aca ecce dbbbbcce aca fbccadf ecce gccbbbdf aca ccgfdbbbbf ecce gca dbbbbd gca ecce fbbbbdf ccg aca fdbbbdf gcc ecce fdbbbbf ccg acg dbbbbd ecce gcc fbbbbd aca ccg fdbb ecce aca d aca ecce ecce aca gca gcce ccg ccg gcc gcc ccg ecce gcc aca acg ecce ecce acg aca gcc ecce ccg acagca ecccce gcca cce e ``` <!-- end of image --> Amazing! This area was hiding an intersection all along! There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3f3fffff b,#fe0707ff c,#0505feff d,#ff5959ff e,#c1c1ffff f,#ffababff g,#7f7efdff ``` ```image g c ce ec c ga c cg c ce e gc cg c c aa aa c c cg ga ec c c ec gc ce c ec ag cg c c ce ag ec c c ga ga c c gc cg c ec ec ce ce gc c c cg aa c c aa ce c ec ga c c gc ec c ce ag ec c ce ce c ec ag c c aa ga c c cg gc ec bb c ce fbbd ec gc dbbd ce c dbbf c aa bbbf cg c fbbd c ce fbbd aa ec dbbf c c dbbga ga fbcbf c ecbbd ag ce fbbd c ec dbbf ce ce dbb ec c fbbf c ag fbbfaa c bcd aa cgdbb c ec fbbf gc ce fbbf c gc bbd ec c dbb ce aa fbbf c c bbd cg ce dbd c ec dbb aa c fbbf cga bbd gc dbd dbb fbbf bbd db ``` <!-- end of image -->
Let's examine this image for potential line intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b73edff b,#fb0d0dff c,#ee7068ff d,#dbcaedff e,#99c696ff f,#0909fcff g,#b0d6b0ff ``` ```image d fa f fa f fa f fa f fd f fd f fd f fd f fd df fd df fd df fd df fd df fd df fd df fd df db fd cbbb geafeeeeeeeeeeee bb bb eggfgggggggggggg dbc bc eggafgggggggggggcb bc egggfggggggggggbb bc egggafggggggggbc bd eggggfggggggcbeg bd eggggafggggbbggg b egggggfgggbbgggg db egggggafebcggggg db eggggggfbggggggg db egggggbbfggggggg cb eggggbcgfggggggg cb a eggcbeggafgggggg cb dff egbbgggggfgggggg bb ffd ebbggggggafggggg bcgeeeeeeeeeeeeeee afa dbcggggggggfggggg bcggggggggggggggg ff cbegggggggggafgggg bcgggggggggggggg afd bb eggggggggggfgggg ebcggggggggggggg dff bc eggggggggggafggg egbeggggggggggggffd cbd egggggggggggfgge eggbegggggggggafa bb af egggbggggggggffg bb f egggebgggggafagg dbc af eggggcbggeffgggg cb f egggggcbffeggggg bb af egggggaffggggggg bc f eggggffgbbgggggg bd af eggafagggbbggggg f egffggggggbbgggg aa ffeggggggggbcggg f dfagggggggggggbcgg aa ff eggggggggggggbcg f afa egggggggggggggbe aa dff eggggggggggggggbd f ffd eggggggggggggggeb aa dfa geeeeeeeeeeeeeeedb f ff db aa afa cb f dff cb affd cb a bb bb bc bc bc bd b ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#9491fbff b,#fe0505ff c,#ff8686ff d,#fec5c5ff e,#fa3d42ff f,#0302fdff g,#2323ffff ``` ```image gfa aff gfa aff gfa aff gfa aff d gfa cb aff ebb gfa debbc aff dbbbd gfa cbbe aff ebbc gfa dbbbd aff cbbed gfa ebbe aff debbc gfabbbd affbe effa dbbefg cbbedgfa ebbe afg debbc gfa dbbbd afg cbbe gfa ebbc afg dbbbd gfa cbbed afg ebbe gfa ebbc afg bbd gfa e afg gfa afg gfa afg ffa ``` <!-- end of image --> Success! This area contains an intersection point! Let's move forward and inspect another region. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#4238f4ff b,#ff0505ff c,#fa959aff d,#8f8fffff e,#fc4b4eff f,#0404feff g,#e9d3e9ff ``` ```image e be bbc cbbc cbbc cbbc ebbc ebbg ebbg ebbg df ebbg gaff gbbe dfffd gbbe gaffag gbbe afffd gbbe dfffd cbbe gaffag cbbc dfffd cbbcaffag cafffd dfffac gaffaebbg dfffd ebbg gaffag ebbg dfffd ebbg dfffa gbbe gaffag gbbe dfffd gbbe gaffag gbbe fffd cbbe fa cbbc g cbbc cbbc ebbc ebb eb e ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area B! I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5d59fbff b,#fe0707ff c,#ff9e9eff d,#a5a5ffff e,#fb484bff f,#0909ffff g,#eadaefff ``` ```image d fd f fd f fd f fd f fd f fd gf fd gf fd gf fd gf fd gf fg gf fg gf fg gf fg gf fg gf fg df cb fg ebeb df bb be fg gbc be df cbg be fg bb bc df be bc f cbc bg df eb bg f be gb dfgbc gb fbg cb bef cb be f eb a cbg df eb gff eb f bb ffg be df be dfa gbc f be ff ebg df bc afd bb f bc gff be df bg ffg cbg f bg dfa eb df gb ff be f gb afd gbc af cb gff eb f cbffg bb aa dfa gbe f ff eb bg aa afd eb f gff be aa ffg be f dfa bc aa ff bc f afd bc aa gff bg f ffg gbg aa dfa gb f ff cb aa afd cb f gff cb affg eb a eb be be be bc bc b ``` <!-- end of image -->
Here's an image. My task is to find intersections or areas where lines come close together. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f05451ff b,#0707fdff c,#faa6a4ff d,#9ba2f0ff e,#4950efff f,#fd0707ff g,#add4adff ``` ```image c fc f fc cf c f f cf fc f f aa f f cf aa f f aa fc f f fc fc cf cf f f aa cf f f fc aa f f e f aa bbb cf f db dbd f fc b be aa f be bb f fc b db fc cf b bd cf f ee bb f cf b eb aa f bd dbd gggggggggggggfgg aa eb be ggggggggggggfagg f b eb ggggggggggggfggg aa bd dbdggggggggggfgggg f db beggggggggafgggg fc b gbbgggggggfggggg gggfgggggggggbeg ggebgggggfaggggg gggfggggggggdbgg ggggbegggfgggggg ggggfgggggggbggg gggggbbgfcgggggg ggggfggggggbeggg ggggggebfggggggg ggggafgggggbgggg gggggggfbegggggg gggggfggggbggggg ggggggafgbbggggg gggggaaggebggggg ggggggfgggebgggg ggggggfggbgggggg gggggfaggggdbdgg ggggggfabdgggggg gggggfgggggggbeg gggggggabggggggg ggggfgggggggggbb gggggggbcggggggg gggafggggggggggebd ggggggbefggggggg gggfgggggggggggg be gggggdbgfggggggg ggfagggggggggggg bb gggggbggcfgggggg ggfggggggggggggg db ggggbegggfgggggg gfaggggggggggggg bd gggdbggggafggggg cf bb gggbggggggfggggg f eb ggeeggggggaagggg aa dbd ggbggggggggfgggg f be gbdggggggggfaggg fc e ebggggggggggfggg f b fc f bd f cf db f f b cf aa bd f f db cf fc b f cf ee aa f b f aa b ac f ee f fc b fc f bd f f db f cf b cf f bd f aa db cf f b f fc be aa cf db f f b ac aa f f ffc f ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#f9393fff b,#0b09fdff c,#fd787aff d,#bbbbfeff e,#6766feff f,#fe0304ff g,#fec2c2ff ``` ```image cfa dbbd ffg bbe cfa ebb gffg dbbd afc bbe gff ebb afc dbbd gff bbe afc ebb cff bbd ffg ebe cfa dbbd ffg bbe cfa ebb gffg dbbd afc bbe gff ebb afcdbbd gffbbe aabb cbbd ebbg dbbfa bbeffg ebb cfa dbbd gffg bbe afc ebb gff dbbd afc bbe gff ebb afc dbbd cfa bbe ffg ebb cfa dbbd ffg ebe cfa dbbd gffg bbe afc ebb gff dbbd afc bbe gff ``` <!-- end of image --> Area A contains an intersection. Now, let's scrutinize the next spot. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe3636ff b,#0907fcff c,#ff7373ff d,#b1b1feff e,#5c5cffff f,#fd0405ff g,#febcbdff ``` ```image cfa gffg afc gff ffc cfa gffg afa bd gffg bbe afc ebbe cff dbbbd ffg dbbbd cfa ebbe gffg dbbbd afc dbbbd gff ebbe ffc ebbe cfa dbbbd gffg ebbeafa ebbbfg dbbbd cfbbbd ffgebbe cfa dbbbd gffg dbbbd afc ebbe gff ebbb ffc dbbbd cfa ebbe gffg ebbe afa dbbbd gffg bbb afc eb cff d ffg cfa gffg afc gff ffc cfa ``` <!-- end of image --> The lines cross each other within area B, forming an intersection. My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fc474aff b,#0909ffff c,#fe8a8aff d,#b2b1feff e,#5b5bffff f,#fe0506ff g,#ffc8c8ff ``` ```image g fc f fg gf g f f cf fc f gf ca fg f cf ac f f aa fc f f fg fg gf gf f f aa cf f f fc ca gf f e fg ac bbb cf f db dbd f fc b be aa f be bb f fg db eb fg gf b be gf f ee bb f cf b eb aa f bd dbd f ca eb bb fc f b eb gf ac bd dbd fg f db be cf fc b bb f f be dbd aa fg db be f gf b bb fg f ee ebf cf b fbd f b aa bb aa eb f eb f b fc dbd acbd gf be ab fg bb bc cf dbd bdf f be db fg aa bb b gf f eb be f fg be db cf gf bb b f f eb ee aa aa dbd b f f bb bd ac fc e eb f gf b fg fg bd f cf db fg f b gf aa be f f db cf fg b f gf be aa f b f aa b ac f ee f fc b fg gf bd f fg eb fg cf b gf f bd f aa db ca f b f fg be aa gf db f f b ac aa f f ffc gf ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#0707fdff b,#e87166ff c,#99a1eeff d,#b2d7b1ff e,#4e53eeff f,#96c896ff g,#fc0909ff ``` ```image ea aee ac a ca ca a a dfffffffffffffffffaefffffaffffffffffffffff fddddddddddddddddcaddddddacddddddddddddddd fddddddddddddddddaddddddddaddddddddddddddd fdddddddddddddddeeddddddddaedddddddddddddd fdddddddddddddddaddddddddddadddddddddddddd fddddddddddddddacddddddddddeeddddddddddddd fdddddddddddddeaddddddddddddaddddddddddddd fdddddddddddddadddddddddddddeadddddddddddd db fddddddddddddaeddddddddddddddadddddddddddd dbggggggb fdddddddddddcadddddddddddddddcaddddddddddd bbgggggbd d fdddddddddddadddddddddddddddddacdddddddddd bbgggggbb gggggggggbbd fddddddddddaeddddddddddddddddddadddddbbgggggbb dbbgggggggggbbbddaddddddddddddddddddfaegggggbfdd fddddbbbggaggggggbbbddddbggggggbaddddddddd fddddddddeadddddbbbgggggbbddddddeedddddddd fddddddddadddddddddddddddddddddddadddddddd fdddddddacdddddddddddddddddddddddeaddddddd fddddddcadddddddddddddddddddddddddaddddddd fddddddaddddddddddddddddddddddddddcadddddd fdddddaedddddddddddddddddddddddddddacddddd fddddfadddddddddddddddddddddddddddddaddddd fddddaddddddddddddddddddddddddddddddaedddd fdddeadddddddddddddddddddddddddddddddadddd fdddaddddddddddddddddddddddddddddddddeeddd fddacdddddddddddddddddddddddddddddddddaddd fdeaddddddddddddddddddddddddddddddddddeadd dfaffffffffffffffffffffffffffffffffffffaff ae ca ca a a a ee ac a a ac ee ca a a ee ac a ca ca a a ee a a ac a a ea ac a a ac ee ca a a ca ae a a ca a ac ea a a ac ac a ee a ca a ca ac a ac a ee a ea a ca a a ac a ee a ee a ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#fe5959ff c,#7c7bfeff d,#feacacff e,#3c37faff f,#c3c3ffff g,#fc0608ff ``` ```image faaf eae aac faaf cae cae faaf aaf eac cae caa aac faaf caa eae eac faaf faa aac eac cae faaf faaf eae eac faaf caa cae faaf aac eae caa caa eac aac faa eae eac faaf faaf eac eae caa faaf faaf cae dd eae aaf ddbbgggg bbbdddd caa caa ddbbggggggggggb ggggggggggbbbbdddd aac ddaaeggggggggggbbdd ddbbbgggggggggggggggeaebbdddd dddbbgggggaagggbbdd ddddbbbggggaagggggggggggbbbdddd ddbbggggggggggbbeac aacddbbbgggggggggggggggggggggggggggbbddd faaf cae ddddbbbggggggggggbbdd eae faaf ddd faaf eac cae caa aaf faac cae eae aac faaf caa aac eac cae faaf faaf eae eac faaf caa cae faaf aaf eae cae caaf aac aac caa eae eac faaf faa eac eac caa faaf faaf eae eae faaf caa cae ``` <!-- end of image --> My investigation has led me to an intersection in area A! My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fe4a4aff c,#8383ffff d,#ffa2a2ff e,#4340fcff f,#c7c7ffff g,#fe0304ff ``` ```image f ea ace af a ca ca a af ac fa fa af a a ee ec a a af ee ca a a ca db ac a ddbggggbd fa fa dbgggggbd d a af dbgggggbd ggggggggbbdd ee a dbgggggbd ddbggggggggbbdd fa daeggggbdd ddbbgagggggbbdd dbgggggba ce ddbbggggbd ee a a ac ca ca a a fa ec af fa fa af ac ee a a ee af a ca ce a a ac fa fa af a fa ee ac a a af ec ca a a ce ac a fa ca a af ee fa a af af a ca ec a a ac ee fa a a ca ee a fa fa af af ee a a ac af a ee a ca a fa af fa ac a ee a ce a fa af fa ac a ec a ce a ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#f24841ff b,#0806fbff c,#616be8ff d,#fc0504ff e,#b2d7b2ff f,#a0cda2ff g,#c4967fff ``` ```image c cb bb cbe ffffbbfffffffffffffffffffffffffffffffffffffffffffff feeeecbceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeecbceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeecbceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef efeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dddddddddaagfeecbceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeggaadddddbbdaaggeeeeeeeeeeeeeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeefbcaadddddddddaaggeeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeebbfeeeeeeeeggaaddeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeefbbeeeeeeeeeeeeadeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeecbfeeeeeeeeeeedgeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeefbbeeeeeeeeeeedeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeecbfeeeeeeeeeadeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeedgeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeecbceeeeeeeedeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeadeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbceeeeeedgeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeedeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbbbceeadeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcbbbbgeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbbbbceef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadefcbbbce feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeeeefcbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeef cbbbce feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeef cbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgeef cbbbce feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeef cbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadef cbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgf c feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedf fffffffffffffffffffffffffffffffffffffffffffffffffad d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d d aa d ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd090aff b,#0504feff c,#4338f4ff d,#8583fdff e,#c7c7feff f,#feb5b6ff g,#fe6363ff ``` ```image ebbbd dbbbe ecbbc dbbbe ecbbc dbbbd ecbbce dbbbd ecbbce dbbbd ecbbce dbbbd cbbce f ebbbd aaaaaggggffff cbbbe aaaaaaaaaaaaaaaaaggggffff ebbbd fffggggaaaaaaaaaaaaaaaaaagggcbbbe ffffggggaaaaaaaaaaabbbcaaggggffff fffggggacbbbaaaaaaaaaaaaaggggfff ecbbcfggggaaaaaaaaaaaaaaaaaagggffff dbbbd ffffgggaaaaaaaaaaaaaaaa ecbbce fffggggaaaag dbbbd faaf ecbbce gaa dbbbd aag ecbbce faaf dbbbd gaa cbbce aag ebbbd faaf cbbbe gaa ebbbd aag dbbbe faaf ecbbc gaa dbbbe aag ecbbc faaf dbbbd gaa ecbbce aag dbbbd faaf ecbbce gaa dbbbd aag ecbbcdde faaf dbbbbbbcde gaa edcbbbbbbcddeaag edcbbbbbbbccd edcbbbbbbcdde edcbbbbbbbcde faaddcbbbbbbcdde gaa edcbbbbbb aag edcb faaf gaa aag faaf gaa aag faaf gaa aag faaf gaa aag faaf gaa aag ``` <!-- end of image --> My investigation has led me to an intersection in area A! My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff3434ff b,#0806fcff c,#5654fdff d,#fe0101ff e,#a7a5fdff f,#ffceceff g,#ff6b6aff ``` ```image e cbe bb cbe bb cbe bb ebe bb ebc f bb adddddddaggff ebc fggadddddbbdaggf ebcggadddddddaagff cb fggadd bc gd cbe df bb d cbe gd bb df cbe d bb ga ebe df bb d ebbbe ga ecbbbbe ebbbbe ga ecbbbce df ebbbbe d ecbbbce ga ebbbbe df ecbbbce d ebbbbe ga ecbbbc df e d ga df d ga df d ga df fd aa df fd aa df fd aa df fd aa df fd aa df fd aa df fd aa df fd aa d fd ag d fd ag d fd ag d fd ag d ``` <!-- end of image -->
I'm curious to see if this image contains any intersection points. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#5055f4ff c,#aed5aeff d,#f84041ff e,#a9abfaff f,#0707feff g,#f0918aff ``` ```image dag a ag a ag dd ag a ad a ad ad ad cccccccccccccccccccccc ga ad cccccccccccccccccccccc a ad cccccccccccccccccccccc ag ad cccccccccccccccccccccc ga aacccccccccccccccccccccc e a daccccccccccccccccccccc ff ag dacccccccccccccccccccc ffe ga cdaccccccccccccccccccc ffe a ccdacccccccccccccccccc bfe ag cccdacccccccccccccccccbfb ga ccccdaccccccccccccccbfb a cccccdacccccccccccbffc ag ccccccgacccccccceffccc da cccccccgaccccccffccccc a ccccccccgacccffccccccc a cccccccccgaffecccccccc dd cccccccccffdcccccccccc a cccccccbfbcgaccccccccc a cccccbfbcccccacccccccc dd cccbfbccccccccaccccccc a cbffcccccccccccacccccc a effccccccccccccccaccccc dd ffcccccccccccccccccagccc ga ffe ccccccccccccccccccagcc a ffe cccccccccccccccccccagc ag ffe ccccccccccccccccccccag ga bfb cccccccccccccccccccccag a bfb ccccccccccccccccccccccag ag bf cccccccccccccccccccccc ag ga ef cccccccccccccccccccccc ad a f cccccccccccccccccccccc ad ag f cccccccccccccccccccccc ad ga fe ad a bb ad ag ef ad ga f aa a f d ag fe dd fb a ef a f dd f a fe a fb dd ef a f a f fe fb bf ef f fe fb bf ef f fe fb bf ef f fe fb bf ef f fe fb bf ef f fe ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0404ff b,#6d68faff c,#b8b8ffff d,#fa3135ff e,#febfbfff f,#0a0afeff g,#ff6e6eff ``` ```image e ae aae daae daae daae daae daae daae gaae gaae gaae gaae bf gaag bfff gaag cffffc gaag cffffc gaag cffffb gaag cbfffb gaag cbfffb eaag bfffb eaag bfffbc eaag bfffbc eaabffffc bffffc cffffdd cffffbeaad cbfffb eaad cbfffb eaad bfffb eaad bfffbc eaad bfffbc edad bffffc dade cffffc daae cffffc daae ffffb daae ffb daae b daae daae daae daae gaae gaae gaa ga g ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area A! It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#3f3fffff c,#e7d4ebff d,#fc4144ff e,#8c8cffff f,#0404feff g,#ff9292ff ``` ```image c dag ca ag ac ag dd ag ca ad a ad ad ad ga ad a ad ag ad ga aa c a da cff ag da ffc ga da bfe a da bfe ag da bfb ga da efb a ga efb ag ga cff da ga cffc a ga cffc ac gaffc dd bfd ca bfe ca ac bfb cac dd efb cac ca efb cac ac cff ac dd cffc ac ca ffc ag a ffe ag ag bfe ag ga bfe ag a efb ag ag bb ag ga ef ad a cf ad ag fc ad ga fe ad a bb ad ag ef ad ga cf aa a fc d ac fe dd bb ca ef ac cf dd fc ca fe ac bb dd ef ca cf a fc fe bb ef cf f fe fb ef cf f fe fb ef cf f fe fb ef cf f fc fb bf cf f fc ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#f24e47ff b,#0607feff c,#fd0706ff d,#9fa2f9ff e,#ef9891ff f,#aed5aeff g,#5559f7ff ``` ```image d gbbbbbbbbgdd b ddgbbbbbbbbgdd gg ddgbbbbbbbggd b ddgbbbbbbbbggffffffff gg ffffdggbbbbffff b fffffffffffffff gg fffffffffffffff b fffffffffffffff bd fffffffffffffff b fffffffffffffff bd ffffffffffeffff b ffffffffcccffff bd fffffacceffffff b ffaccafffffffff bd eccaffffffffffff b eccafffffffffffffff b ccc fffffffffffffff db acce fffffffffffffff b acce fffffffffffffff db ecca fffffffffffffff b ecca fffffffffffffff db eccc b acce db acce b ecce gg ecca b ca gg c b ca gg ec b c bg ce b ec bd c b ce bd ec b c bd ce b ac b c db ce b aa db c b c db aa b c db c b ca gg ec b c gg ce b ec gg c b ce bg ec b c fffffbgfffffffce fffffbfffffffacf ffffbgfffffffcff ffffbfffffffceff fffbdffffffacfff fffbfffffffcffff ffbfffffffcfffff ffbffffffcafffff fbffffffecffffff dbffffffcfffffff bffffffcafffffff dbfffffecffffffff bffffffcfffffffff fffffcafffffffff ffffecffffffffff ffffcfffffffffff fffcefffffffffff ffacffffffffffff ffcfffffffffffff fcefffffffffffff acffffffffffffff c c ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff7575ff b,#0707ffff c,#ff0303ff d,#a4a4ffff e,#ffc2c2ff f,#ff3333ff g,#5252ffff ``` ```image dbb ac bbd ecc dbb fca bbd acf dbb ecce bbd cca dbb acf bbd ecce gbg cca bbd fcf gbg acce bbd ecca gbg fcf bbd acce gbg ecca dbb fcf gbg acc dbb ecce gbg fca dbb acc gbg ecce dbb fca bbd acf bb ecce bd cca b fcf d ecce cca fcf acce ecca fcf acce ecce fcf acc ecce fca acc ecce fca acf ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Now, let's dive into another area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#ff5f5fff b,#0101ffff c,#ff0707ff d,#7676ffff e,#ffb5b5ff f,#b9b9ffff g,#3838ffff ``` ```image ddfff bbbbbbbgggddfff ddggbbbbbbbbbbbbbggddf ffdddggbbbbbbbg fffddd ee eacca eaccccca ecccccae eaccccae eaccccae eaccccca eacccccae ccccae cae ``` <!-- end of image --> The lines within area B do not intersect. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff6363ff b,#0303ffff c,#ff0909ff d,#7d7dffff e,#ffb2b2ff f,#c0c0ffff g,#3e3effff ``` ```image f dbbbbbbbggdf b fdggbbbbbbgddf dg fdgbbbbbbbgddf b fdgbbbbbbbgdff gg ffdgbbbb b gd b gd b bd e b eccc bf acce b acca bf acca fb ecca bf eccce fb acce b acce fb acca b ecca db eccc b ccce dg acce b acca dg ecca b ecc gg c b ca gd ec b c gd ca b ec bd c b ce bf ac b c bf ce fb ac bf c fb ce b ac fb c b c db ca b ec dg c b ca dg ec b c gg ca b ec gd c b ce gd ac b c bd ce b ac bf c b ce bf ac fb c bf c fb ca bf ec fb c b ca fb ec b c ca ec c ce ac c ce ac c ce ``` <!-- end of image -->
I'm curious to see if this image contains any intersection points. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0e0dfcff c,#f7918eff d,#f74d49ff e,#777df4ff f,#add5adff g,#edd0e2ff ``` ```image g caa gaa dd aag a dac ca cad ag gaa ga aag ac dac a cad ac gaa a aag dd dac a cad ca gaa ag aag ga dac ag cad a gaa ac aag a dac dd ad a ca a ga ag ga ac a dd a cd a ca ag ga ac a dd a dd a ca ag ga ac a ac a dd a ca ag ga ag bbbbbbbbbbbbbbbbbeeeeeeeegggg ga ggggeeeeeeeebbbbbbbbbbbbbbe ffadffffffffffff ebbbe fffaffffffffffff gbbbbg fffddfffffffffff ebbbe ffffafffffffffff ebbbe ffffdaffffffffff gbbbbg fffffaffffffffff ebbbe fffffcafffffffff ebbbefffffafffffffff gbbbbeffaffffffff fffebbbbcfffffff fffffffebbbeffff ffffffffddfbbbbe fffffffffaffffeb fffffffffdafffff ffffffffffafffff ffffffffffcaffff fffffffffffaffff ffffffffffffafff ffffffffffffacff fffffffffffffaff fffffffffffffadf a dd a ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0b08fcff c,#fd797aff d,#f6363fff e,#6a6afeff f,#bdbdffff g,#ffbabaff ``` ```image caa aac gaa dac gaag dad gaag cad aag cad aac gaa dac gaa dad ef gaag bbbef cad ebbbbbbef aag febbbbbbeefcad febbbbbbbdc feebbbbbbef febbbbbbeef gadebbbbbbef dac feebbbbbbef gaag febbbbb dad feb aag cad aag caa dac gaa dac gaag dad gaag cad aag caa aac gaa ``` <!-- end of image --> My investigation has led me to an intersection in area A! One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0606ff b,#0505ffff c,#fe9192ff d,#ff4b4bff e,#5652fbff f,#adadffff g,#ffd3d3ff ``` ```image g caa gaa dd aag a dac ca cad ag gaa ga aag ac dac a cad ac gaa a aag dd dac a cad ca gaa ag aag ga dac ag cad a gaa ac aag a dac dd ad a ca a ga ag ga ac a dd a cd a ca ag ga ac a dd a dd a ca ag ga ac a ac a dd a ca ag ga ag bbbbbbbbbbbbbbbeeeeeeeffffff a fffffffeeeeeebbbbbbbbbbbbe ac ebbbf a febbef dd fbbbe a ebbbf ca febbef a fbbbe ga ebbbf ag febbef ga fbbbec ebbbf ddfebbbf a fb cd a ca ag ga ac a dd a dd a ``` <!-- end of image -->
Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#f75c58ff b,#0909fdff c,#6066f2ff d,#fdadadff e,#b8b8feff f,#fe0505ff g,#acd4acff ``` ```image ff faaf fa f fa df fa fd fa f fa aa fa f fa df fa fd fa f fa fa fa f fd af fd f fd df fd fd fd f fd aa fd f fd df fd fd fd f fd aa fd f fd df fd f b fd f bb fd fd cb fd f eb fd aa b fd f be f df bc f fd bc f f cb f aa eb ggfgggggggggggggb ggafgggggggggggbg gggfggggggggggbcg ggggfggggggggbbgg ggggfaggggggcbggg gggggfgggggcbgggg gggggafggggbggggg ggggggfgggbgggggg ggggggdfgbcgggggg gggggggfbcggggggg gggggggcbgggggggg ggggggcbaaggggggg ggggggbggfggggggg gggggbgggafgggggg ggggbcggggfgggggg gggbcggggggfggggg ggcbgggggggfagggg gcbgggggggggfgggg gbggggggggggafggg bggggggggggggfggg bcgggggggggggggfgg bc fd cb f cb aa eb f b df be fd bc f bb fa cb f eb af b f be df bc fd bb f cb aa eb f b df be f bc cccceee bc eecccbbbbbbbbbbbbbbbbbcccceee cb eeeeccccbbbbbbbbb ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff3e3eff b,#0807fdff c,#5757feff d,#fd7e80ff e,#aeaefeff f,#fd0405ff g,#ffc8c8ff ``` ```image afa gffg dfa ffd c dff cb afd ebb gffg ebbe afa ebbc gffg bbc dfa cbb ffd cbb gffg ebbe afa ebbe gffg ebbc dfa bbc ffd cbb dff cbb afd cbbe gffg ebbe afaebbc gffbbc dbbb cbbd cbbffg ebbeafa ebbc gffg bbc dfa bbc ffd cbb dff cbbe afd ebbe gffg ebbc afa bbc gffg bbc dff cbb ffd cbbe gffg ebbe afa ebbe gffg bbc dfa bbc ffd bb dff be afd e gffg ``` <!-- end of image --> I observe an intersection inside area A. It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff4e4eff b,#0908feff c,#5c5cfeff d,#ff8d8dff e,#b0b0ffff f,#ff0404ff g,#ffccccff ``` ```image g ff fadf fa fg fa gf fa fd fa f fa aa fa f fa df fd fg fd f fd aa fd f fd df fd fg fd gf fd fd fd f fd aa fd f fd gf fg fg fg f fg aa fg f fg df fg fg b fg gf bb fg fd cb fg f eb fg aa b fg f be fg gf bc fg fg bc gfg f cb fg aa eb f b df be fg be gf bc fd cb f eb aa b f b gf be fbc cb ebaa b f b df be fg bc gf cb fd eb f b aa b f be gf bc fd cb f eb aa eb f b df be fg bc gf bb fd cb f eb df b f be gf bc fd bb f cb aa eb f b df be f be cccceee bc eeccccbbbbbbbbbbbbbbbbcccceee cb eeeccccbbbbbbbbb ``` <!-- end of image -->
I'm curious to see if this image contains any intersection points. I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0909ffff b,#ff4949ff c,#7575ffff d,#ff0505ff e,#b6b6ffff f,#ff8686ff g,#ffc1c1ff ``` ```image e aa ca ca ca ca c ea aa ea cae ea aa ea cae ae aa ae cae ae aa ae cae ac aa ac cac ac aa ac eac aa aa aa eac aa aa aa eac aa aa ca eac ca aa ca eac ca aa ea eac ea aa ea eac ea aa ae eac ae aa ae eac aaa c ddg gdd gdd gdd gdd gdd fdd fdd fdd fdb fdb fdb fdb bdb bdb bdb bdb bdf bddf gbddbg fdddf bdddg gbddb fdddf gbddbg fdddf bdddg gdddb fdddf gbddbg fdd ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. I've noticed 2 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#4349f1ff b,#ef524aff c,#f9a5a2ff d,#9097f2ff e,#aed5aeff f,#0606fdff g,#fd0607ff ``` ```image d f fd df f fd f f aa f fd c df gg f bgcg aa g gb f g g f gb cg df cg gc f g g fd g cg df gb gc f cg g aa g bb f gc g fd gb g df cg bb f g g fd gc cg f gb gbeeeeeeeeeeeeeef cg geeeeeeeeeeeeeaf g bgeeeeeeeeeeeefe gc egbeeeeeeeeeefde bb eegeeeeeeeeedfee cg eebgeeeeeeeefeee g eeegceeeeeeaaeee gc eeeegeeeeeefeeee bb eeeebbeeeefdeeee cg eeeeegeeeafeeeee g eeeeeegeefeeeeee gc eeeeeegbfaeeeeee bb eeeeeeegfeeeeeee cg eeeeeeefgeeeeeee g eeeeeeaagbeeeeee gc eeeeeefeegeeeeee eeeeeeeeeeeeeebge eeeeefdeebgeeeee eeeeeeeeeeeeecgee eeeedfeeeegceeee eeeeeeeeeeeeegeee eeeefeeeeeegeeee eeeeeeeeeeeegbeee eeefaeeeeeebgeee eeeeeeeeeeebgeeee eeefeeeeeeeegeee eeeeeeeeeeegeeeee eefeeeeeeeeeegee eeeeeeeeeegeeeeee eafeeeeeeeeeebbe eeeeeeeeegbeeeeee efeeeeeeeeeeeege eeeeeeeebgeeeeeee fdeeeeeeeeeeeeeg eeeeeeeegeeeeeeee dfeeeeeeeeeeeeeegb eeeeeeegeeeeeeeee f g eeeffagbeeeeeeeee aa cg eeeeeffaeeeeeeeee f gc eeeeegeaffeeeeeee fd g eeeegeeeedffeeeee df cg eeegbeeeeeedffdee f gc eeeeeeeeeeeeeeffa fd g eeeeeeeeeeeeeeeeafa f bg eeeeeeeeeeeeeeeee dff f g eeeeeeeeeeeeeeeee dffd aa g eeeeeeeeeeeeeeeee ffd f bb eeeeeeeeeeeeeeeee afa fd g eeeeeeeeeeeeeeeee dff df cg eeeeeeeeeeeeeeeee dffd f gb eeeeeeeeeeeeeeeee ffd aa g eeeeeeeeeeeeeeeee afa f cg afff gc da g cg gc g bb g g bb g ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#493ef3ff b,#fa4146ff c,#ff8d8dff d,#9d9dffff e,#faced2ff f,#0706feff g,#fe0606ff ``` ```image egg ggb bgb cgge eggc ggb bgg cgge eggc ggb bgg cgge eggc bgb bgg cgge eggc bgb bgg cgge eggc bgb bgge fad cgge dffffdeggc dffffab dffffad cgbafffad eggc eaffffd bgb dffffd cgge dffffae egge dafffad eggc dafffad egb dffffd ee dffff daf d ``` <!-- end of image --> My analysis confirms the presence of an intersection in area A. Now, let's turn our attention to the next spot. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d47f8ff b,#ff4141ff c,#ff8d8dff d,#9797ffff e,#edd6e8ff f,#0606feff g,#fe0505ff ``` ```image gc d gge f bgb af eggc eff cgge afa bgb dff eggc effd cgge afa bgb dffe eggc ffd cgg dff ggc effd egge afa bgb dffe ggc effd cgge afa bgb dffe eggc ffa cgge dff bgb effd eggc afa cgge dffe bgb ffd eggaff cgffd ffa dffge effagb afaeggc dffe cgge ffd bgb dff eggc effd cgge afa bgb dffe eggc ffd cgg afa bgb effe egge afa cgg dff ggc effd cgge afa bgb dffe eggc ffd cgge dff bgb effd eggc afa cgg dffe bg effd eg afa c ffe ``` <!-- end of image --> I can confirm that an intersection exists in area B. There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4848ffff b,#ff4141ff c,#ff8b8bff d,#9797ffff e,#f1d3e1ff f,#0606feff g,#fe0506ff ``` ```image d f fe df f fd ef f aa f fd c df gge f cgeg aa eg gc ef ge g fe gc cg df cg gc f eg g fd ge cg df gb ge f cg g aa g bb f ge ge fd gb eg df cg bb f g g fd ge eg ef bb gc fe cg g aa g cg f ge gc fd bb g df cg cg f g ge aa gc g f bb bb fe eg ge df g eg f gc bbfd bb gf eg fg g aagc gc f g bb fd cg eg df gc g f g gc aa cg bg ef ge eg fe eg g df bb gc f ge bg fd eg eg df bc e ge f g ffdgc aa cg ffa f gc eg aff fd g ge dffe df cg gc effd f ge e ffa fd g afa ef bb dffe fe ge dffd aa eg ffd f bb afa fd g dff df eg dffd f gc effd aa g afa f cg afffe gc da g cg ge g bb ge eg bb g ``` <!-- end of image -->
Alright, let's get to work and investigate this image for intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0808ff b,#0808feff c,#f95c59ff d,#b2b2feff e,#ffb0b0ff f,#6062faff g,#afd5afff ``` ```image dd bbbbbbbbbbbbbbbbffddd bbf dddfffbbbbbbbbbbbbbfffdd dbbd dddfffbbbbbbbbb dbbd fbb fbf bbf bbd dbbd dbb fbb fbf bbf dbbd ggggggfbbgggg ggggfbbgggggg gggbbgggggggg ggggggggggggg ggggggggggggg ggggggggggggg gggacgggggggg ggggagggggggg ggggcaggggggg gggggaggggggg ggggggagggggg ggggggacggggg gggggggaggggg gggggggcagggg ggggggggagggg gggggggggaggg gggggggggacgg a ea ae a cc a ea ae a ca a ea ac a ea ae a cc a ea 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 eeeccaaaaa ca eeccaaaaaaaaaaacccee a eecccaaaaaaaaaaaccee eaaaaaacceee ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0606ff b,#0807ffff c,#ff8e8eff d,#ababffff e,#ffcfcfff f,#5959ffff g,#ff4545ff ``` ```image dfbbbfd dfbbbfd dbbbbf dbbbbf fbbbbd dbbbd fd e eag aac caae gag eaae caa aac caae gag eaac caa aac eaae gag eaac caa gag eaae gag aac caae ``` <!-- end of image --> Hmm, it seems there's no intersection in area A after all. I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0606ffff c,#ff8282ff d,#adadffff e,#ffc7c7ff f,#5757ffff g,#ff3d3dff ``` ```image dd fbfbbbbbbbbbbbbfffddd bbf dddfffbbbbbbbbbbbbbffddd dbbd ddfffbbbbbbbbb dbbd fbb fbf bbf bbd dbbd dbb fbb fbf bbf bbd dbbd dbb bb ac a cg ae ea gc a ca ae a gg a ea ae a gg a ea ac a cg ae ea ac a ca ae a gg a ca ae a gg a ea ac a cg ae ea ac a ca ae a gc a ca ae a gg a ea ac a eeccggaaaa cg eeccggaaaaaaaaaaggccee a eccggaaaaaaaaaaggccee eaaaaaggccee ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606fdff b,#fc0d0cff c,#9298f2ff d,#ee756dff e,#4749eeff f,#98c59aff g,#b1d6b0ff ``` ```image c ac d a gbbg a db b a bb db a bd bd a ca db b ca fagggggggggggggf bb b a feeggggggggggggg bd db ee fgaggggggggggggg gbg bd a fgeegggggggggggg db b ac fggagggggggggggg bb b ca fggacggggggggggg bd db a fgggaggggggggggg db bd ee fgggafgggggggggg bb b a fgggfagggggggggfbd gb ac fggggaggggggggdbg bb a fggggcaggggggbbf bg a fgggggagggggbbgg b ca fgggggeeggfbdggg db a fggggggagdbggggg bd ec fggggggeebgggggg b ffffffffffffffffa fggggggbaggggggg b gggggggggggggggac fggggdbfacgggggg db ggggggggggggggca fgggbbgggagggggg bdggggggggggggggaf fggbbggggafggggg bfggggggggggggeef ffbdgggggfaggggg gbggggggggggggagf dbggggggggaggggg bbggggggggggacgf bbgggggggggcagggg gbdggggggggcaggf bdfggggggggggagggg ggbggggggggagggf fggggggggggeeggg ggdbggggggeagggf fgggggggggggaggg gggbbgggggaggggf fgggggggggggeegg ggggbfgggaeggggf fggggggggggggagg gggggbggfagggggf fggggggggggggacg gggggdbgafgggggf fgggggggggggggag ggggggbeaggggggf fgggggggggggggaf gggggggafggggggf fgggggggggggggfa ggggggaebggggggf a ggggggagdbgggggf ca gggggacggbdggggf a ggggcaggggbggggf ee ggggagggggfbgggf a gggeeggggggbbggf ec gggaggggggggbdgf a ggacgggggggggbgf ac gfaggggggggggdbf a gaggggggggggggbb a eagggggggggggggb ca aggggggggggggggfb a aeggggggggggggggfdb ca agggggggggggggggf bd a agfggggggggggggggf b ee ca b a a db ec ee bd a a b ac ac gb a ca bb a a bg ca ee b a a db ca ac b a a ee a a ca ec a a ac ac a a a a ca ca a a ee ca a a ac ee ca a a ec ee a a aac a ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0504feff b,#fe0909ff c,#8a85faff d,#ff5a5aff e,#4542fbff f,#cdccfeff g,#ffbabaff ``` ```image aac cae aaf cae faaf eae faaf eac faa eac caa aac cae aaf cae faaf eae faaf eac gb faa gbb eac dbbd caa dbbd aac gbbbg cae gbbbg aaf dbbd cae gbbbg faaf gbbbg eae dbbd faafdbbd eaebbg caabg dbaac gbbbcaa gbbbg aac dbbd cae dbbd aaf gbbbg cae gbbbg faaf dbbd eae gbbbg faaf gbbbg eac dbbd faa bbd eac bg caa g aac cae aaf cae faaf eae faaf eac faa eac caa aac cae aaf cae faaf eae ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area A. Alright, let's concentrate on the next area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0605feff b,#fe0a0bff c,#8585ffff d,#ff6666ff e,#4540faff f,#c4c4ffff g,#ffbabaff ``` ```image f e ca aa d cae bg faaf bb eae bbd faaf gbbg aac dbbg caa dbb aaf bbd eae gbbg faaf dbb eac bbb caa bbd aac gbbg cae dbb faaf bbd eae gbbd caa gbbg aac dbb caa bbd faaf gbbg eae dbbg faaf dbb aac bbeaa gbaac eaa faabd eaebbd caa gbbg aac dbb cae bbd faaf gbbd eae gbbg faaf dbb aac bbd caa gbbg faaf dbbg eae dbb faaf bbd eac gbbg caa dbb aac bbd eae gbbd faaf gbbg eae dbb caa bb aac gb cae d faaf eae faaf aac aa af e f ``` <!-- end of image --> Wow! I can see an intersection so clearly in area B! I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#fe0909ff c,#8c8cffff d,#ff6565ff e,#4a45faff f,#c8c8ffff g,#ffbdbdff ``` ```image f ac d a gbbg af db b fa bb gb a gbd bd a ca db bg ca a bb b a ce bd db ee a gbg bd a ec db b af a bb gb fa ac gbd db a a db bg ee af bb b a fa bd gb ac a gbg bd fa ca db bg af a bb b ca ce gbd db a a db bd ec eeb bg a ba b af gbgac db ca db a bd a bb af b ee gbd fa gb a db a db ac bb ca bg fa bd a b a ce gb ee a bd a ec bg ac a b fa ac db af a bea af a fa eeb a a db ca af bd a ca b ee a gb a ee db ec a bg a ac b ac fa gb a a bd af ce bg fa a b a ac db ca fa bd a af b ee ca gb a a db ec ee bg a a b af af gb a fa bd af a bg fa ee b a a gb ca ac b a fa ee af a ca ec a a ac af a a af af ca fa a a ee ce a a af ee fa a a ec ee a a aac fa ``` <!-- end of image -->
Time to put on my detective hat and find those intersection points! Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#5f65e2ff b,#e84d49ff c,#080afcff d,#d49581ff e,#b1d7b1ff f,#fc0707ff g,#97c69bff ``` ```image e ca c ce c c ec c ac c aa c aa fdggggcggggggggggggggggggggggggggggggggggggggggggggge feeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fdeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gfeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg efbeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eefeeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eebbeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeefeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeebfeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeefeeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeedfeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeefgeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeedfeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeefdeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeefeeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeefdeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeefeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeefbeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeefeeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeebbeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeefeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeebfeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeefeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeedfeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeefeeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeedfeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeeefdeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeeeefeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeeeefdeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeeeeefeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg df eeeeeeeeeeeeeeefbeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeefeecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeebbegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeeefeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeeebfeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeeeefeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeeeedfeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeg bf eeeeeeeeeeeeeeeeeeefeeceeeeeeeeeeeeeeeeeeeeeeeeeeeeg ff eeeeeeeeeeeeeeeeeeedfeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeg ff eeeeeeeeeeeeeeeeeeeefdeceeeeeeeeeeeeeeeeeeeeeeeeeeeg ff eeeeeeeeeeeeeeeeeeeeefecaeeeeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeefdeceeeeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeefecaeeeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeefbeceeeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeeefecgeeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeeebbgceeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeeeefeceeeeeeeeeeeeeeeeeeeeeeeeg fb eeeeeeeeeeeeeeeeeeeeeeeebfaceeeeeeeeeeeeeeeeeeeeeeeg fd eeeeeeeeeeeeeeeeeeeeeeeeefeceeeeeeeeeeeeeeeeeeeeeeeg fd eeeeeeeeeeeeeeeeeeeeeeeeedfaceeeeeeeeeeeeeeeeeeeeeegfd eeeeeeeeeeeeeeeeeeeeeeeeeefeceeeeeeeeeeeeeeeeeeeeeefd eeeeeeeeeeeeeeeeeeeeeeeeeedfaaeeeeeeeeeeeeeeeeeeeefd eeeeeeeeeeeeeeeeeeeeeeeeeeefdceeeeeeeeeeeeeeeeeeefdg a eeeeeeeeeeeeeeeeeeeeeeeeeeegfcaeeeeeeeeeeeeeeeeefdeg accca eeeeeeeeeeeeeeeeeeeeeeeeeeeefdceeeeeeeeeeeeeeeefdeeg eccca eeeeeeeeeeeeeeeeeeeeeeeeeeeeefcaeeeeeeeeeeeeeefdeeeg accca eeeeeeeeeeeeeeeeeeeeeeeeeeeeefbceeeeeeeeeeeeefdeeeeg eccca eeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcgeeeeeeeeeeefgeeeeeg accce eeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbceeeeeeeeegfeeeeeeeg eccca eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeeeegfeeeeeeeeg accce eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbceeeeeedfeeeeeeeaccca eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeedfeeeegacccgg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaceeedfeeacccaeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceedfcccageeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaccccaeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefafeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegfeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#433cf7ff b,#f84c53ff c,#0404feff d,#feaeafff e,#bfbffeff f,#fd0708ff g,#807ffdff ``` ```image ff acg bf ecc df gc fd ce ff ga dff ca bf cce df aca dfd ac fb ec ffd ag ff cg df cc fd cce fd cc ff gc bfb ce dff aa dfd cg bb cc fd acg ffd ac bff gc ff ce fd ce df ca fb cce bfb ecc dff ac bf ec bb ec fd cg ff cc ffd cce ff cce df gca bb cc fb ece ffd ag bfb ec bf cc fd acg bf gcc ff gc ffd ce dff ga dff ca bf cce df acg bb ecc fb ec ffd ag bfb gc df ca fd cce df gca ff gc bfb ece dff ag dfd cg bb cc fd acg ffd cc dff gc ff ce df ga df ca fb cce ff aca dff ac bf ec fd ag fd cg ff ca ffdcce ff cc df gc bbece b fbec ff ffdcg bfd bfbcc bfd ffacg bff fdcc bfd dfgc bfd fdce bff ffdce bfd dffca ffd bfcce fff bbcc ff dfac ff fbc fff bfbc dfb ac ffcg dff gaccc bfcc ffb gaccccge daca dfb egacccage fcce dff egccccge faca ffaccccag bfcc gccccag bfcccce dfbbfb bffb d ``` <!-- end of image --> As I suspected, there's an intersection within area A. It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#443cf7ff b,#fa5b5fff c,#0505feff d,#feb4b4ff e,#c7c7ffff f,#fe0809ff g,#8484ffff ``` ```image e cg c ce ec ce ec c gc c ga c ag fd c f cg fd c f ce bb ec f ce bb ec f c bf gc f c df ga f c df ag fd c f ag fd c f ce fb ec f ce bb ec f c bf gc f c df ga d f c df df ag df fd c df f ag df fd c bf f ce bf fb c bf f ce bf bb ec bf f c bf bf gc bf f c bf df ga ff f c ff df aa ff fd c ff f ag ff fd c fb f ce fb fb c fb f ce fb bbec fb f c fb bfgc fb f c fb dfga fd f c fd dfaa fd fdc fd ea fag fd gcccg fdc fd eaccae fce fd gcccg fbc fd eacca fce fd gccce bbc f ecccg fc df accae bbc df gcccg fc df eaccae daa df gcccg fc dfaccae daacccg faf df ``` <!-- end of image -->
Let's examine this image for potential line intersections. I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0505ffff c,#ffacacff d,#8787ffff e,#ff4d4dff f,#4848ffff g,#c9c9ffff ``` ```image d fbd fbd fbd bbd bbg bbg bbg gbbg gbbg gbb gbb dbb dbb dbf dbf fbf fbf fbd ac fbbbbfdg a gdfbbbbbbfddg ae gdfbbbbbbfdg a gddfbbbbbbfdg ca gdfbbbbbbbfdg ac gdfbbb a ae a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a ca ac a ee a caaaaaaaaaaaaaaaeeeeeeecccccccc cccccccceeeeeeeaaaaaaaaaaaaaaaa ``` <!-- end of image -->
I'm curious to see if this image contains any intersection points. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0808feff c,#f95956ff d,#5c5ff8ff e,#ffafafff f,#b0b1ffff g,#aed5aeff ``` ```image e ecaaaa ecaaaace ecaaaace ecaaaae ecaaaace ecaaaace ecaaaae ecaaaace eace a cc a ae ea a cc a ae ea a ca a ae a a ca a ac a ae ea a cc a ae ea a cc a ae ea a ca a ac a ae ea a cc a ae ea a cc gggggggggggag ggggggggggacg ggggggggggagg gggggggggaggg fbdff ggggggggcaggg bbffdbbbbbbdf ggggggggagggg bbf fdbbbbbbdf gggggggacgggg dbf ffdbbbbbbdf gggggggaggggg dbd fdbbbbbbdf ggggggagggggg fbb ffdbbbbbddf gggggcagggggg bb fdbbbb gggggaggggggg bbf ggggacggggggg dbf ggggagggggggg dbd gggaggggggggg fbb ggggggggggggg bb ggggggggggggg bbf ggggggggggggg dbf gggggggggggggdbd gggggggggggdbb ggggggggggbbg ggggggggbbggg ggggggbbdgggg ggggdbdgggggg gggbbgggggggg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0a0affff c,#ff8484ff d,#6969ffff e,#ffc7c7ff f,#c1c1ffff g,#ff4040ff ``` ```image eaa gac caa aac cag eaae gag caa aac cag eaae gag eaae aac caa eaae gag eaae gac caa aac gag eaae gag caa aac cag eaae egg fb fbbb fdbbbd dbbbd dbbbdf fbbbbf fbbbbf fdbbbd dbbbd dbbbdf ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0808ffff c,#ff7d7dff d,#5b5bffff e,#ffc1c1ff f,#b1b1ffff g,#ff3c3cff ``` ```image e cgaaag ecaaaage egaaaace cgaaagc ecaaaage egaaaace cgaaagc ecaaaage cace a gc a ae ea a gg a ae ea a cg a ac ea ae ca a gc a ae ca a gg a ae ea a cg a ac ea a cg a gc a ae ca a gg a ae ea a gg a ac ea a fbdff cg bbffdbbbbbbdf a bbf fdbbbbbbdf ac dbf ffdbbbbbbdf ea dbd fdbbbbbbdf ae fbb ffdbbbbbddf ca bb fdbbbb a bbf gc dbf a dbd ae fbb bb bbf dbf dbd fbb bb bbf dbf dbd bb ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fd0807ff c,#a3a4faff d,#f9b4b1ff e,#ef5b53ff f,#4d55ecff g,#add4adff ``` ```image c a ac ca a ca a ff a ac ca a ca a ff a ac ca a ca a ff a e ac bebe ca db ebe a b bbd ggggggggggggfagg be bbd ggggggggggggaggg b bbd gggggggggggffggg b bbd gggggggggggagggg ee dbb ggggggggggafgggg b dbbggggggggggaggggg bd dbbgggggggagggggg eb gebbggggfagggggg b gggebeggaggggggg bd gggggebffggggggg db gggggggabegggggg b ggggggafgbbegggg be ggggggaggggbbdgg db gggggagggggggbbg b ggggfagggggggggbb ee ggggagggggggggggdbb b gggffggggggggggg dbb bd gggagggggggggggg dbb eb ggafgggggggggggg ebe b ggaggggggggggggg ebe bd ac eb db ca b a be ff db a b ac ee a b a bd ca gggggggggggggebg a gggggggggggggbgg ff ggggggggggggbdgg a gggggggggggebggg ac c gggggggggggbgggg a fafgggggggggbegggg ac fafggggggebggggg ca ggfaaggggbgggggg a ggggfaagbegggggg ff ggggggfaaggggggg a gggggggbcaaggggg ac ggggggeegggaacgg a ggggggbggggggaaf ac gggggbgggggggggaac ca ggggebgggggggggg aaf a ggggbggggggggggg faf ff gggbeggggggggggg faf a ggebgggggggggggg faa ac ggbggggggggggggg caa a gbeggggggggggggg caa ac db caa ca b caaa ee c b bd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706fdff b,#fe0505ff c,#b7b6feff d,#ff8686ff e,#fa3f43ff f,#5d58faff g,#ffc8c8ff ``` ```image bbd ebe gbbg bbd dbb gbbg ebe dbb gbbd ebe dbbg fc bbd aafc ebe faaafc gbbg cfaaafc bbd faaaac dbe faaaac gbbg faaaac ebd caaaafbb caaaaf eaaaaf dbbcfaaafc gbbd cfaaafc ebe cfaaafc dbbg cfaaafc bbd faaaac ebe faaa gbbg fa bbd dbb gbbg ebe dbb gbbd ebe dbbg bbd ebe gbbg ``` <!-- end of image --> The evidence is clear: this is an intersection in area A. Time to investigate another area. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#fd090bff c,#8484ffff d,#fea1a2ff e,#fc575aff f,#3d35f7ff g,#c8c8ffff ``` ```image caa aac caf gaag faf gaag fac caa aac caf d gaag bbd faf bbbbd gaag dbbbbd fac dbbbed caa ebbbed aac ebbbe caf ebbbe gaag ebbbfaf debaae fafbbd caadbbbbd aac dbbbbd caf dbbbbd gaag dbbbbd faf dbbbed gaag ebbbe fac ebb caa e aac caf gaag faf gaag fac caa aac caf gaag ``` <!-- end of image --> As I suspected, there's an intersection within area B. There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#ff0606ff c,#9595feff d,#ffa3a3ff e,#ff4e4eff f,#4b4afdff g,#e3d7f3ff ``` ```image c a ac ga ag ca a ff a ac ga ag ca a ff a ac ga ag ca a ff a e ac bebe ga db ebe ag b ebd ca ee bbd a gb bbd ff bg gbbg a ee gbb ac b dbb ga bd dbb ag db dbe ca b ebe a bd ebff db abd b ac bbd be ga bbd gb ag bbg b ca gbbg ee a dbb b ff dbb bg a dbe eb ac dbe b ga ebe bd ag eb db ca b a bd ff db a b ac ee ga gb ag bg ca ee a b ff bd a db ac c b ga faf bd ag faf db ca faf b a caa be ff caag a bcaag ac ee gaag ga b gaac ag bd aac ca eb aac a b faf ff bd faf a db faf ac b caa ga be caag ag db caag ca b gaaa ee gc gb bg ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#4646faff b,#fd0708ff c,#fba9a7ff d,#bfbfffff e,#0404fdff f,#f55652ff g,#aed5afff ``` ```image gggggggggggggggggggggg gggggggggggggggggggggg gggggggggggggggggggggg gggggggggggggggggggggg gggeaggggggggggggggggg ggggeggggggggggggggggg gggbbegggggggggggggggg gggggeafgggggggggggggg ggggggebbfgggggggggggg gggggggegfbfgggggggggg gggggggeaggfbbgggggggg ggggggggeggggfbbgggggg gggggggggegggggfbbgggg gggggggggeaggggggcbbcg ggggggggggegggggggggbbc gggggggggggeggggggggggbbc gggggggggggeaggggggggg bbf ggggggggggggeggggggggg fbf gggggggggggggegggggggg fbb aa cbb e cbbc de cbbc aa bbc e bc de bc aa bc e bc de bc aa bc e bc de bc aa b e b de b aa b e b de cb aa cb e cb de cb aa cb e cb de cb aa cb e fb de fb aa fb e fb de fb aa fb e fb de bb aa bb e bb de bf aa bf e bf ded bf ee bf dea bf aea bf aed bc ee bc dea bc aed bc eed bc dee bc dea b aed ee dee aea aed ee dea aea eed ee dea aed eed dee de ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b0afdff b,#fd0708ff c,#fdb0b1ff d,#bab9feff e,#7f007fff f,#fe5b5bff g,#6767feff ``` ```image dd daa aag daad gaa bfaag cbbbaad fbeaac faaebc daaebbf gaabbbbf aagcbbbbf daad cfbbbfc gaa cfbbbfc aag cfbbbfc daad fbbbbc gaa fbbbbc aag cbbbbf daad cbbbbf gaa cfbbbfc aag cfbbbfc daad cfbbbf gaa fbb aag f daad gaa aag daad gaa aag ``` <!-- end of image --> There's no doubt about it - this is an intersection in area A. My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#2e2afaff b,#fe0708ff c,#ffafafff d,#c5c5ffff e,#0101ffff f,#ff5a5aff g,#6161ffff ``` ```image d ag e bbe aac ebbf de fbf ag fbf e fbb de cbb ag cbbc e bbc de bbf ag bbf e fbf de fbb ag cbb e cbbc de cbbc ag bbc e bc de bc ag bc e bc de bc ag bc e bc de bc ag b e b de b ag b e cb de cb ag cb e cb de cb ag cb e cb de cb ag fb e fb de fb ag fb e fb de fb ag fb e fb de bb ag bb e bb de bf ag bf e bf ded bf ee bf dea bf geg bf aed bf ee bc dea bc geg bc aed bc dee bc deg b aed ee dea geg aed ee dea geg aed ee dea geg eed dee ge ``` <!-- end of image -->