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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. <!-- image --> ```palette Key,Color ,#fefefeff a,#4850efff b,#fc0a09ff c,#0606fcff d,#ee6c64ff e,#9da5eeff f,#b2d7b1ff g,#98c795ff ``` ```image f bb bd b b db bd b b db bd bf b fb b db bd bd db b bb b bd db db bd bb bf bd b fgggggggggggggggggggggggggggggggggf fbf fbgfffffffffffffffffffffffffffffffffg db dbfffffffffffffffffffffffffffffffffg bb bdffffffffffffffffffffffffffffffffg bd gbffffffffffffffffffffffffffffffffg db ggbfffffffffffffffffffffffffffffffg bb gfdbffffffffffffffffffffffffffffffg bd gffbdfffffffffffffffffffffffffffffg db gfffbgffffffffffffffffffffffffffffg bb gffffbffffffffffffffffffffffffffffg bd gffffdbfffffffffffffffffffffffffffg fbf gfffffbbffffffffffffffffffffffffffg db gffffffbdfffffffffffffffffffffffffgbb gfffffffbffffffffffffffffffffffffgbd gfffffffgbffffffffffffffffffffffdbg gffffffffdbffffffffffffffffffffbbfg gfffffffffbdffffffefffffffffffbdffg gffffffffffbgacccccaffffffffdbgfffg gfffffffaccccaeffffcaffffffbbfffffg gffaccccaeffdbffffffcaffffbbffffffg eccccaeffffffffbbffffffcafgbdfffffffg eacccaegfffffffffffffbdffffffccbfffffffffg eacccae gffffffffffffffbffffffbccfffffffffg eacccae gffffffffffffffgbfffgbdfccffffffffg cae gfffffffffffffffdbfdbffffccfffffffg gffffffffffffffffbbbffffffacffffffg gfffffffffffffffffdffffffffacfffffg gfffffffffffffffffffffffffffacffffg gffffffffffffffffffffffffffffacfffg gfffffffffffffffffffffffffffffacffg gffffffffffffffffffffffffffffffecfg gfffffffffffffffffffffffffffffffecg gffffffffffffffffffffffffffffffffec gfffffffffffffffffffffffffffffffffgc gfffffffffffffffffffffffffffffffffg c gfffffffffffffffffffffffffffffffffg ce gfffffffffffffffffffffffffffffffffg ce gfffffffffffffffffffffffffffffffffg ce gfffffffffffffffffffffffffffffffffg ce gfffffffffffffffffffffffffffffffffg ce fgggggggggggggggggggggggggggggggggf ca ca ca ca cc cc ac ac ac ac ac ec ec ec ec c c ce c ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a5afeff b,#ff3e3eff c,#0806fdff d,#fe8384ff e,#a9a7fdff f,#fdc5c7ff g,#fe0405ff ``` ```image f b gb ggd dggf bgg bgb fggd fggf dggf bgb ggb fggd dggf bgg bgb fggd dggf dggf bgb fggd fggd dggf bgb fb ggb fgg fggd dggb dggf bggd bgg fgggf bgb dggbf fggd ee bggd fggf eaacccce fgggd dggfeaacccccccccca dggbf eaccccccccaaee ecca bggb eeaccccccccaee ecca fbggd eeaccccccccaeeggd ecca fgggf eeaccccccccaee dggf ecca dggb eeaccccccccaee bgg ecca bggd ccccccaee bgb ecca fgggf caee fggd ecca dggbf fggf ecccggd dggf ecccd bgb dggccc ggb bggbfccc fggd fbggd ccc dggf fgggf ccce bgg dggb ccce bgbfbggd acce fgggggf acce dggbf acce dd acce acce acce acce acce ecca ecca ecca ecca ecca ecca ecc ec e ``` <!-- end of image --> Oh my, look at that! It's an intersection in area A! I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4f4ffeff b,#ff3535ff c,#0706feff d,#ff7e7eff e,#aaaaffff f,#fec5c6ff g,#ff0404ff ``` ```image f bb gd g fg dg gd gf g dg bb gf g fg g bb fgd gd dg gf gg fg gd dg dgf bb bg gf gb g fgf fg bg bb gb gd fgd g dg fg gg dg gd gd dgf gf bg g gb dg fgf bb bg gd gb g fgd fg dg dg gg gd e gd gfaccccce dgf eccccae ca bg eccccae dg ca gb eccccae bb ca fgf eacccae gf ccg eacccae g gcc eacccae fg fgd cc cae bb dg ac ggg ac d ac ac ac ec ec ec ec ec c ce ce ce ce ce ca ca ca ca cc cc ac ac ac ac ac ec ec ec ec ec c ce c ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0605ff b,#0808fcff c,#5a5eebff d,#e44b4aff e,#b0d6b0ff f,#e29688ff g,#b7b7feff ``` ```image c b bg cb b bg gb b bc gb f b ddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cc aeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee b ddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bg eaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cb eddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee b eeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bg ceedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gb cbeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee b beefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bc ebeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gb ecbefaeeeeeeeeeeeeeeeeeeeeeeeeeeeee b eebceaeeeeeeeeeeeeeeeeeeeeeeeeeeeee cc eeebefaeeeeeeeeeeeeeeeeeeeeeeeeeeee b eeecbeaeeeeeeeeeeeeeeeeeeeeeeeeeeee bg eeeebcfaeeeeeeeeeeeeeeeeeeeeeeeeeee cb eeeeebeafeeeeeeeeeeeeeeeeeeeeeeeeee b eeeeeebeaeeeeeeeeeeeeeeeeeeeeeeeeee bg eeeeeebcafeeeeeeeeeeeeeeeeeeeeeeeee gb eeeeeeebeaeeeeeeeeeeeeeeeeeeeeeeeee b eeeeeeeebafeeeeeeeeeeeeeeeeeeeeeeee bc eeeeeeeecbaeeeeeeeeeeeeeeeeeeeeeeee gb eeeeeeeeebdfeeeeeeeeeeeeeeeeeeeeeee b eeeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeee cc eeeeeeeeeecbdeeeeeeeeeeeeeeeeeeeeee b eeeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeee bg eeeeeeeeeeeebdeeeeeeeeeeeeeeeeeeeee cb eeeeeeeeeeeecbeeeeeeeeeeeeeeeeeeeee b eeeeeeeeeeeeebceeeeeeeeeeeeeeeeeeee bg eeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeee gb eeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeee b eeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeee bc eeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeee gb eeeeeeeeeeeeeeeeabeeeeeeeeeeeeeeeee b eeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeee cc eeeeeeeeeeeeeeeeeabceeeeeeeeeeeeeee b eeeeeeeeeeeeeeeeefabeeeeeeeeeeeeeee bg eeeeeeeeeeeeeeeeeeacbeeeeeeeeeeeeee cb eeeeeeeeeeeeeeeeeefabceeeeeeeeeeeee b eeeeeeeeeeeeeeeeeeeaebeeeeeeeeeeeee bg eeeeeeeeeeeeeeeeeeefaebeeeeeeeeeeee gb eeeeeeeeeeeeeeeeeeeeaebceeeeeeeeeee b eeeeeeeeeeeeeeeeeeeeeaebeeeeeeeeeee bc eeeeeeeeeeeeeeeeeeeeeafebeeeeeeeeee gb eeeeeeeeeeeeeeeeeeeeeeaecbeeeeeeeee b eeeeeeeeeeeeeeeeeeeeeeafebceeeeeeee cc eeeeeeeeeeeeeeeeeeeeeeeaeebeeeeeeee b d eeeeeeeeeeeeeeeeeeeeeeeafecbeeeeeee bg fad eeeeeeeeeeeeeeeeeeeeeeeeaeebceeeeee cb fad eeeeeeeeeeeeeeeeeeeeeeeeadeebeeeeee b faa eeeeeeeeeeeeeeeeeeeeeeeeeaeecbeeeee bg faa eeeeeeeeeeeeeeeeeeeeeeeeeadeebceeee gb aa eeeeeeeeeeeeeeeeeeeeeeeeeeaeeebeeee b aa eeeeeeeeeeeeeeeeeeeeeeeeeeddeeebeee bc aa eeeeeeeeeeeeeeeeeeeeeeeeeeeaeeecbee gb aaf eeeeeeeeeeeeeeeeeeeeeeeeeeeddeeebee b aaf eeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeebe cc aaf eeeeeeeeeeeeeeeeeeeeeeeeeeeeddeeecbgb daf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeebbg dad eeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeec dad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeee fad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeee fad eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeee faa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaee faa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaee aa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefae aa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeae aa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefa aaf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeaaf af ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0a08fcff c,#5e59f9ff d,#f53842ff e,#fa7c80ff f,#fec5c6ff g,#b5b4fdff ``` ```image aaf dae faa faf dd faf ad aaf aaf ead aaf cg ead bbg aa bb ae gbg ea cb ae bc aa bbg dae bbc dae gbbg faa gbb dae cb faa bc da bb dd bbc faf gbbg ad cbb aaf bbcdad cb ead ccfaaf bgead bbgaaf cbbead gbbea cbbae bbca gbbae cbaa gbda bbae cbba bbde gbbd bbf gbe cbf bc bbg fbbc ebbg fdbbg ebbb abb abb eabc abbg ecbb abbc adbbg eaacb daebc faagbg daebb faabbc fa cbb de bbc fafgbb ad cb aaf cc faaf bbg dad cbb faaf bbc ead gbbg faa cbb af gbb ed cb af bc ad gbg aae bb aae bbc eaa gbbg aae cbb eaa bb dae gbg da bc fa bbg de cbb faf cbc ae gbbg dad cb faaf bc dad gbg faaf bb ead bbc ea cb af b ed g af ad eaa aae eaa aae eaa fa de fa ae aa faa da fa ``` <!-- end of image --> Gotcha! I've found the intersection hiding in area A! There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0404feff c,#7f7efeff d,#f75860ff e,#3b34f8ff f,#ffafafff g,#c0bffeff ``` ```image c b bg ce b bg cb b bc gb d b dd ee a b dd bg a ce dd b a bg c da cb ee a b bg fa bc b a gb cb fa b bc a ee b fa b gb a bg bcfa ce b af b gb a bg eeaf cb bga b baf bc cea gb bdf b ba ee cbd b bd bg bd ce gb b be bg b cb db b ee bc dbg gb ab b feb ee abc b fab bg acb ce fabc b a b bg fagb cb afee b fa bg bc af b gb a ce b af bg ee a b b d af cb bg dad a bc ce faa af b b faa a gb bg faa ad ee cb faa a b b aa dd gb bc aaf a ee gb aaf dd bg b aaf a b ee aaf dd cb b dad a bbg dad da e dad a dad fa faa a faa fa faa a faa fa aa a aaf fa aaf afaaf af ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0606ff c,#fba4a2ff d,#5155f8ff e,#ababfeff f,#f7504dff g,#abd3abff ``` ```image daaaaa edaaaade ea edaaaad dd ggggggggggggggggedaaade ae gggggggggggdaaaade a ggggggdaaaadgggg da gdaaaadggggggggg ae gdgggggggggggggg a gggggggggggggggg ea gggggggggggggggg ad gbbfgggggggggggg a ggcfbbbbfcgggggg a ggggggggffbbbbfg da ggggggggggggggfbbbbfc ae gggggggggggggggg cfbbbbfc a gggggggggggggggg cbbbbbc ea gggggggggggggggg cfbbbbfc ad gggggggggggggggg cb a gggggggggggggggg cb a gggggggggggggggg ff da gggggggggggggggg bc ae b a fb ea bc ad b a cb ea bf dd b ae b a fb ea bc ae b a cb ea bc dd b ae cb a ff da bc ae b a fb ea bc ad b a cb a bf da b ae b a ff ea bc ad b a cb a bc da b ae cb a ff ea b ad b a fb ea bc dd b ae cb a bf ea b a b ff bc b cb bc b cb bf b b fb bc b cb bf b ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0302ffff b,#ff0606ff c,#ff5959ff d,#3f3fffff e,#c5c5ffff f,#8383ffff g,#ffaeaeff ``` ```image efdda eefdaaaaaaa effdaaaaaaaddfe effdaaaaaaadffe efddaaaaaaadffe edaaaaaaaadfee eaaaddfe fe g bbbccg gbbbbbbbbccgg ggccbbbbbbbbccgg gccbbbbbbbbbcgg ggccbbbbbbbbccgg ggcbbbbbbb ggccb ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0909ffff b,#ff0404ff c,#ff8181ff d,#6161ffff e,#b4b4ffff f,#ff3c3cff g,#ffc7c7ff ``` ```image e daaaaa edaaaade ea edaaaad ad eaaaaae ae daaaade a edaaaade da daaaad ae e a ea ad bfcg a gcbbbbfc a cfbbbbcg da gcbbbbfc ae gfbbbbfg a gcfbbbfcg ea gcbbbbfg ad cb a gb ea ff da bg ae b a cb ea bc ad b a gb ea ff da bg ae gb a ff da bg ad b a cb ea bc ad b ae gb a ff da bg ae b a cb ea bc ad b ae gb a bc da b ae gb a ff ea bg ad b a cb a bc da b ae gb a ff ea bg ad b a cb ea bc da b ae cb a bc da b a gb ff bg b cb bc b gb ff bg gb ff bg b cb bc b ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0807fbff b,#fc0b0bff c,#5250ecff d,#b2d7b1ff e,#9ca2f2ff f,#e1625eff g,#98c697ff ``` ```image e ca ac aa eae aa eae aa ca ac ca eac aa eae aa cae ac ca ac aa eae aa eae aa ca ac ac ae a a a ea ca ca ac ac ae d ae bbbgggggggggagggggggggggggggggggggggggggggggg bbdfbddddddddgaddddddddddddddddddddddddddddddd fb ddgbfdddddddeadddddddddddddddddddddddddddddd db ddddbbdddddddcaddddddddddddddddddddddddddddd b dddddfbgddddddcadddddddddddddddddddddddddddd b dddddddbfddddddaaddddddddddddddddddddddddddd bd ddddddddbbddddddacdddddddddddddddddddddddddd bf dddddddddfbgdddddacddddddddddddddddddddddddd bb dddddddddddbbdddddaedddddddddddddddddddddddd fb ddddddddddddbbdddddadddddddddddddddddddddddd db dddddddddddddfbfddddaddddddddddddddddddddddd b dddddddddddddddbbdddeadddddddddddddddddddddd b ddddddddddddddddfbdddcaddddddddddddddddddddd bd dddddddddddddddddgbfddcadddddddddddddddddddd bf dddddddddddddddddddbbddaaddddddddddddddddddd bb ddddddddddddddddddddfbddacdddddddddddddddddd fb dddddddddddddddddddddgbfdacddddddddddddddddd db dddddddddddddddddddddddbbdaedddddddddddddddd b ddddddddddddddddddddddddfbgagddddddddddddddd b ddddddddddddddddddddddddddbfaddddddddddddddd bd dddddddddddddddddddddddddddbbadddddddddddddd bf ddddddddddddddddddddddddddddffaddddddddddddd bb ddddddddddddddddddddddddddddddcadddddddddddd fb dddddddddddddddddddddddddddddddaaddddddddddd db ddddddddddddddddddddddddddddddddaafddddddddd b dddddddddddddddddddddddddddddddddacbdddddddd b ddddddddddddddddddddddddddddddddddafbddddddd bd dddddddddddddddddddddddddddddddddddagbfddddd bf ddddddddddddddddddddddddddddddddddddadbbdddd bb ddddddddddddddddddddddddddddddddddddgadfbgdd fb dddddddddddddddddddddddddddddddddddddeaddbfd db ddddddddddddddddddddddddddddddddddddddcaddbb b dddddddddddddddddddddddddddddddddddddddcaddf b ggggggggggggggggggggggggggggggggggggggggaagg bd ac bf ae bb a fb db b b bd ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#0806fdff b,#fe0808ff c,#5151feff d,#fcacafff e,#afaefdff f,#fd5455ff g,#800885ff ``` ```image bbf caa bbbbd caa fdbbbd aac fbbf aac dbbbd eaac dbbbf eaac fbbf eaae dbbbd eaae fbbf caae fbbf caae dbbbd caa fbbf aac dbbbd aac dbbbd eaac fbbf eaac dbbbd eaae dbbbd eaae fbbf caae dbbbd caae fbbf caa fbbf aaa dbbbd aac fbbf eaac fbbbd eaac dbbbd eaae fbbf eaae dbbbd caae dbbbd caae fbbf caa dbbbd caa dbbbf aac fbbf aac dbbbd eaac fbbf eaac fbbf eaae dbbbd caae fbbf caae dbbbdcaa dbbbdcaa fbbfaac dbbbaac dbbbaac fbgaac dbgaae bgaae fgaae dgaad aaaf aaafd aaabd eaagbf eaagbbd eaagbbd eaagbbf caadbbbd caaebbbf caa fbbf caa dbbbd aac fbbf eaac fbbf eaac dbbbd eaae fbbf eaae fbbb caae dbb caae f caa caa ``` <!-- end of image --> The close-up clearly shows an intersection point in area A. There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0806fdff b,#fd0b0dff c,#534bf7ff d,#ffababff e,#a2a1fdff f,#fa6468ff g,#eedfefff ``` ```image e cag gac aa eae aa eae aa cag gac ca eac aa eae aa cag gac cag gac aa eae aa eae aa cag gac ac ae ag gag ga ea ca ca ac ac ae d ag bbb ag bb fbg ga fb gbf ea db bb ea gb fbg ca bg gbf ac bd bb ac bf dbd ae bb bf ae fb bb ag db dbd ga gb bb ea bg fb ea bd dbd ca bf bb ca bb fbg ac fb gbf ae db bb ae gb fbgag bg gbfa bd bba bf dba bb ca fb aa db aad gb acb bg afbg bd aebf bf gagbb bb ga fbg fb ea gbf db ca bb gb ca d bg ac bd ac bf ae bb a fb db gb bg bd ``` <!-- end of image -->
I'm optimistic that I'll find some intersections in this image. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606fdff b,#fd0a09ff c,#9399f1ff d,#f0a39cff e,#4345f2ff f,#f25852ff g,#acd4adff ``` ```image c a a ea a ac ca a ac ca a ee a a ee a ac ca a ac ca a db ee b b a bf bd a b bd ee b bd a fb bd ac a b bd ca ca bd bf a ca db bf ac ea b bfggggggggggggcagg ee bf bbgggggggggggaggg ae b bbgggggggggaeggg ac b gbbgggggggcagggg ac fb ggbbggggggaggggg a b gggbbggggeeggggg a bd ggggfbgggagggggg ca db gggggfbgaggggggg ca b ggggggfeaggggggg eaggggggggggggbfg gggggggabggggggg aegggggggggggbgg ggggggacfbgggggg gaegggggggggbdgg gggggcaggdbggggg ggacgggggggfbggg gggggaggggdbgggg gggacggggggbgggg ggggaegggggdbggg ggggagggggbfgggg gggcaggggggggbgg gggggagggdbggggg gggaggggggggggbg gggggcaggbgggggg ggeegggggggggggbd ggggggeaffgggggg ggagggggggggggggbd gggggggeaggggggg gagggggggggggggg bd gggggggbaegggggg ee bd ggggggfbgaeggggg a bd ggggggbgggacgggg ac bf gggggbfggggagggg ca bf ggggdbggggggaggg a bf ggggbggggggggagg ac bf gggffggggggggcag ca bb gggbggggggggggea a bb ggbdgggggggggggea ae bb db ae a fb b ac a fb bf ac ee fb b a a fb b a ac db ff a ca d b ca a bd ea ac db eaca b aa bf b b fb b bd db b bf b b ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706fdff b,#fd0708ff c,#9898feff d,#fd989aff e,#4d4cfeff f,#fe4f4fff g,#ead5eaff ``` ```image ag fbf aag dbbg aae gbbd gaae fbf gaae dbbg caac bbf caac dbb caac gbbd eaag fbf eaag dbbg eaag gbbd gaae fbf gaae dbbg gaae bbf caac dbb caac gbbd caacfbf eaabbg eaad faaa gbbaae bbfgaae dbb gaae gbbd caac fbf caac dbbg caac bbd eaag fbb eaag gbbg eaa fbf gaae dbb gaae gbbd gaae fbf caac dbbg caac bbd eaa fbb ea gbbd e ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. Time for a closer look at another area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0808ff c,#9393ffff d,#f49aa4ff e,#443af5ff f,#ff4242ff g,#f0dcebff ``` ```image eae caag f gaac bf eae bbfg caag gbbfg aac gbbfg caa gbbbg gaac gbbbg eae gfbbg caag gfbbg gaac gfbbg eae fbbd caag fbbd gaac fbbd eae fbbd caag fbbdaac fbeae daad eaebd caadbbf gaac dbbf eae dbbf caag dbbf gaac dbbf eae dbbf caag dbbf gaac gbbfg eae gbbfg caag gbbfg aac gbbbg caa gbbb gaac gfb eae gf caag g gaac ``` <!-- end of image --> My analysis confirms the presence of an intersection in area B. Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0707feff b,#ff0606ff c,#9d9dffff d,#ff9e9eff e,#4f4cfbff f,#ff4c4cff g,#ead9eeff ``` ```image c ga ag ea a ac ca a ac ca a ee ga ag ee a ac ca a ac ca a dbg ae bgbg ga bf gbg ag gb bd ee bg bd ga ff bd ag a b bd ea ca bd bf a ca db bf ac ea b bf ca ae ff bf a ae gb bf ae ac bg bb ga ag fb bb ag ag b fb ee ga bd fb ga ca db fb ag ca b fea ea ff ab ae gb acdb ae bg ca db ac db a db ag b ac gb ag bd ca gbg ga db a gbg ca b ee gbg caff ga bd ea ag bd bae ee bd db ae a bd b ac ac bf bd ag ca bf gb a a bf bg ga ac bf ff ca ca bf b ea a bb bd ea ae fb db ae ga fb b ae ag fb bd ac ee fb gb ag ga fb bg ga ag db ff ga ea d b ca a bd ea ac db eaca b aa bf g gb bg ff b bd db b ff gb bg ``` <!-- end of image -->
This is the image I'm working with. The goal is to count the intersections. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#fa0d0bff b,#5359f3ff c,#fca9a8ff d,#a9aef4ff e,#afd6afff f,#f45f5cff g,#0707fdff ``` ```image d bg gb gd g g dg bg gb gb gd g dg dg bg gb gd gd g dg bg bg gb gd g g dg bg gb gb gdeeeeeeeeeeeeeeeeeeeeeeeee egeeeeeeeeeeeeeeeeeeeeeeeee eegeeeeeeeeeeeeeeeeeeeeeeee eebgeeeeeeeeeeeeeeeeeeeeeee eeebgeeeeeeeeeeeeeeeeeeeeee eeeegbeeeeeaeeeeeeeeeeeeeee eeeeegbeeeaaaeeeeeeeeeeeeee eeeeeegeeafeaaeeeeeeeeeeeee eeeeeeegafeeeaaeeeeeeeeeeee d eeeeeeefgeeeeeaaeeeeeeeeeee ddbbggggggggb eeeeeefabgeeeeeaaeeeeeeeeee ddbbggggggggbbdd eeeeecaeebgeeeeeaaeedbbgggggggggbbd eeeeeaeeeegggggggggggbbdeee eeeeaeeeeeebdeeeeeaaeeeeeee eeeafeeeeeeeeeeeeeeaaeeeeee eeafeeeeeeeeeeeeeeeeaaeeeee eaaeeeeeeeeeeeeeeeeeeaaeeee faeeeeeeeeeeeeeeeeeeeeaaeee caeeeeeeeeeeeeeeeeeeeeeeaaee aeeeeeeeeeeeeeeeeeeeeeeeeaae a eeeeeeeeeeeeeeeeeeeeeeeeeaa ac eeeeeeeeeeeeeeeeeeeeeeeeeeaf af af aa af fa af ca af a af a af ac af af af aa af fa af ca af a af a ac ac ac af ac af ac fa ac ca ac ca ac a ac ac ac ac ac af ac fa ac ca ac f ac ac a ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#473ff7ff c,#ff8686ff d,#9d9dfeff e,#f6d6dfff f,#fa3034ff g,#0505feff ``` ```image d gd ggd bgge bgg ggb eggb dggd dggd dggd bgge bgb ggb ffe eggb faaae dggd caafaae dggd caaeefaae bgge caac efafe bggeeaac efafe bgbaaf efafe eggbf efafe fggb efafe fafggd efafe caaedggd efafe caac bgge efafe ed eaac bgg efafe eddddbbbggggg eaaf ggb eedddbbbggggggggggggggggb efaf eggbbggggggggggggggggbbbddddee fafe dggggggggbbbdddfafe faae dddde eaafe caae eaaf caac eaaf eaac eaaf eaaf eaaf efaf eaaf fafe eaaf faae eaaf caae eaaf aac eaaf ac eaaf c eaaf eaaf eaaf eaa ea e ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area A! After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0a0aff b,#3636ffff c,#ffa1a1ff d,#bbbbffff e,#7878ffff f,#fd4e4fff g,#0303ffff ``` ```image d bb ge gd g g dg eg bb ge gd g dg eg bg gb ge gd g dg eg bb ge gd g g dg eg bb ge gd g dg dg bg gb a ge aaa gd ac aa gaf aa dd fg aa ddebggggggggb caeg aa deebggggggggbedd ca bb aa deebgggggggbbedd a gbbgggggggbeed a ed af ac af af af fa af fa af ca af a af a af ac af af af fa af fa af ca af a af a af ac af af af af af fa ac ca ac a ac a ac ac ac ac ac af ac fa ac ca ac a ac a ac ac ac ac ac af ac fa ac ca ac f ac ac a ``` <!-- end of image -->
Time to put on my detective hat and find those intersection points! These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0909ff b,#0706fcff c,#ed8e85ff d,#94a2e1ff e,#afd6afff f,#f84d4aff g,#4f54f4ff ``` ```image eeeeeeeeeeeee eeeeeeeeeeeee eeeddddddeeee eeegbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eeeeeeeeeeeee gb eeeeeeeeeeeee db eeeeeeeeeeeee bd eeeeeeeeeeeee bg eeeceeeeeeeee bb eeeafeeeeeeee gb eeeeaeeeeeeee db eeeeaceeeeeee bd eeeeeaeeeeeee bg eeeeeaceeeeee bb eeeeeeaeeeeee gb eeeeeeaceeeee db eeeeeeeaeeeee bd eeeeeeeaceeee bg eeeeeeeeaeeee bb eeeeeeeeaceee gb eeeeeeeeeaeee db eeeeeeeeeacee bd eeeeeeeeeeaee bg eeeeeeeeeeace bb a gb a db a bd a bg eeeeeeeeeeeeeeee a bb eeeeeeeeeeeeeeee a gbeeeeeeeeeeeeeeee a dbeeeeeeeeeeeeeee a dbdeeeeeeeeeeeee ca eebgeeeeeeeeeeee a eeebbeeeeeeeeeee ca eeeebbeeeeeeeeee a eeeeegbeeeeeeeee ca eeeeeedbdeeeeeee a eeeeeeeebgeaeeee ca eeeeeeeeebbceeee a eeeeeeeeeabbeeee ca eeeeeeeeacegeeee a eeeeeeeaceeeeeee ca eeeeeeaceeeeeeee a eeeeeaceeeeeeeee ca eeeeafeeeeeeeeee a eeeafeeeeeeeeeee ca eeafeeeeeeeeeeee a eafeeeeeeeeeeeee cf afeeeeeeeeeeeeee a afeeeeeeeeeeeeeee cf afeeeeeeeeeeeeeeee a af ff af a af ff af a af ff af a af ff af a aa ff aa a aa fc aa a fa fc fa a fa ac fa a fa ac fa a fa ac fa a fa ac fa a fa ac fa a ca ac ca a ca ac ca a ca afa a ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0202ffff c,#ff8686ff d,#c8c8ffff e,#ffaaa9ff f,#ff2424ff g,#2b2bffff ``` ```image dddddddddddddd dbbbbbbbbbbbbbbbbbbb dggggggggggbbbbbbbbb ec eaa fac eaa fac eaa fac eaf fac eaf fac caf fac caf fae caf fae caf aae caf aae caf aae caf aae caf aae caf aae caf aae ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Let's inspect the next region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0002ff b,#0705fcff c,#fb6c6fff d,#d1d1ffff e,#ff9696ff f,#8e8effff g,#4141feff ``` ```image d bf bbf fbbg fbbgd dbbbd dgbbf gbbf fbbg fbbgd dbbbd dgbbf gbbf fbbg fbbgd dbbbd dgbbf c gbbf caa fbbgcaae fbbbae cbbbd caabbbf caae gbb caae fd caae caae caae caae eaae eaae eaae eaae eaac eaac eaac eaac eaac eaac eaac eaac eaac aac ac ``` <!-- end of image --> Oh my, look at that! It's an intersection in area B! There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0606ff b,#0605feff c,#ff7575ff d,#b4b4ffff e,#ffadadff f,#ff3939ff g,#5151ffff ``` ```image dddddd gggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gb db bd bg e bb fc gb a db fc bd a bg ae bb a gb ae db a bd ae bg a bb ae gb a db ae dbd a bg ae bb a gb ae db a dbd ae bg ea bb a gb ea db a dbd ea bg a bg ea gb a gb ea dbd a bg a ea bbe a abb ea ae g a ae ea ac a ac cf ac a ac cf ac a ac cf ac a ac cf ac a af cf af a af cf af a af ff af a af fc af a af fc af a ff fc fa a fa fc fa a fa fc fa a fa fc fa a fa ae fa a fa ae ca a ca ae ca a ca ae ca a ca ae ca a ca aca a ``` <!-- end of image -->
Here's an image. My task is to find intersections or areas where lines come close together. My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff4e4eff b,#0505ffff c,#9595ffff d,#ff9595ff e,#ff0606ff f,#4747ffff g,#ecd4e7ff ``` ```image gg gccffbbbbbbbbbbbb gccffbbbbbbbbbffccg cbc bbbbbbbbbffccg bb cbc bb gbf fbg gbf fbc bb cbc bb cbf fbg gbf fbg bb cbc bb cbc bb gbf fbg gbf fbc bb cbc bb c g aeeed aeea ed gaeed ea gaeed ea geeed ea deeed ea deeeg ee deeag ee deeag ae aeea ae aeea ae eed ae de de de de ge geg geg eg ed ed ed ed ea ea ea ea ee ee ae ae ae ae de de de ge geg geg geg e ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#f3504aff b,#0505feff c,#fd0706ff d,#5656ffff e,#fba9a7ff f,#afd6afff g,#a8a9feff ``` ```image e cc ca ece ac ca ece ac ca ece ac cc ece ac cc ce ac cc ca ec cc ca ece cc ca ece ac ca ece ac ca ece ac cc ce ffffffffffffffff ce ffffffffffffffff ce ffffffffffffffff ec ffffffffffffffff ec ffffffffffffffff ec ffffffffffffffff ac ffffffffffffffff ac ffffffffffffffff ac ffffffffffffffff cc ffffffffffffffff ca ffffffffffffffff ca ffffffffffffffff ce ffffffffffffffff ce ffffffffffffffff ce ffffffffffffffff c ffffffffffffffff ec ffffffffffffffffec fffffffffffffffac ffffffffffffffac fffffffffffffccf ffffffffffffccff fffffffffffccfff ffffffffffcaffff fffffffffcafffff ffffffffcaffffff fffffffcefffffff ffffffcfffffffff ffffecffffffffff g fffacfffffffffff bbb ffacffffffffffff dbbg facfffffffffffff gbbd ccffffffffffffff dbb afffffffffffffff dbbg ffffffffffffffff gbbd ffffffffffffffff dbbg ffffffffffffffff gbbg ffffffffffffffff gbbd ffffffffffffffff dbbg ffffffffffffffff gbbd ffffffffffffffff bbb ffffffffffffffff dbbg ffffffffffffffff gbbd ffffffffffffffff dbb bbbbbbbbbbbbbbbbbbdddddgggg dbbg ffffffffffffffffgggggdddddbbbbbbbbbbbd ffffffffffffffff ffffffffffffffff ffffffffffffffff ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#ff3c3cff b,#0505ffff c,#ff0505ff d,#5858ffff e,#ff7777ff f,#ffbdbdff g,#aeaeffff ``` ```image e ac acc accf accf fcccf fcca fcca fcca fcca ecce ecce ecce accf accf accf accf fcccf fcca fcca fcca fcca ecce ecce ecce acce accf accf fccf ff bbbbbbbbdddddddddggggggggg gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ggggggggggdddddddddbbbbbbb ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. I can confidently say that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff3e3eff b,#0606ffff c,#ff0404ff d,#5a5affff e,#ff8d8dff f,#ffc6c6ff g,#a9a9ffff ``` ```image e ac ca ecf ac ca fcf ac ca fce ac ca fce ac cc fce ec cc ce ecf cc ca ecf ac ca ecf ac ca fcf ac ca fce ac cc ce ce cf fcf fc ec ec ac ac cc ca ca ce ce cf fcf fc ec ec ac ac cc ca ca ce ce cf fcf fc g ec bbb ec dbbg ac gbbd ac bbb e dbbg gbbd dbbg gbbd gbbd dbbg gbbd bbb dbbg gbbd dbb bbbbbbbbbbbbbbbbbbdddddgggg dbbg ggggdddddbbbbbbbbbbbd ``` <!-- end of image -->
I'm approaching this image with caution. Intersections might be tricky to spot. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#5157f3ff b,#fe0605ff c,#f49f99ff d,#a1a4f8ff e,#0707fdff f,#f74a46ff g,#aed5aeff ``` ```image cc d fbbbbbbbbbbbbfffccc e cccffbbbbbbbbbbbbfffccc ed cccffbb e cb e cb de ff e bc ae b e b aa cb e fb ed bf e bc ed b de b e cb de fb e bf aa bc e b ggggggggggggggea b ggggggggggggggeg cb gggggggggggggedg fbggggggggggggdegg bfgggggggggggeggg bcgggggggggaeggg gbgggggggggegggg gcbgggggggaagggg ggfbggggggeggggg gggbfggggeaggggg ggggbfgggegggggg gggggbggedgggggg ggggggbgeggggggg ggggggcegggggggg ggggggaebggggggg ggggggegbfgggggg gggggaeggbcggggg gggggeggggbggggg ggggeagggggbgggg ggggeggggggcbggg gggeagggggggfbgg gggegggggggggbfg ggegggggggggggbc gdeggggggggggggb geggggggggggggggb aeggggggggggggggcb eggggggggggggggg ff aaggggggggggggggg bc e bc ed b e cb ed fb de bf e bc de b e b aa e ed e ed de ed e eea de aea e aea aa dee e dee ea deed e eed ed eed de eea e aea de aea e aee aa dee e dee aa deed e eeded ee ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#4742faff b,#fd090aff c,#ffb5b5ff d,#8c8cfeff e,#0605feff f,#ff5858ff g,#cbcbfeff ``` ```image de ee dee eed dea geeg c aea b geeg bf aea bbf dee cbbc eed fbbc dee fbb eed bbb dea bbf geeg cbbf aea cbbc geeg fbbc aea fbb geeg bbf aed cbbf dee cbbc eed cbbc dea fbbc geeg fbb aea bbfgeeg cbbaea cbeeg eeac deebb eedfbb dee bbf eed cbbf aea cbbc geeg fbbc aea fbb geeg bbf aed bbf dee cbbf eed cbbc dee fbbc eed fbb dea bbf geeg cbbf aea cbbc geeg cbb aea fb dee f eed dee eed dea geeg aea geeg aea ``` <!-- end of image --> There is an intersection point visible in this close-up of area A. My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#4a4affff b,#ff0505ff c,#ff9797ff d,#9797ffff e,#0606feff f,#ff4646ff g,#ebd7ebff ``` ```image cgg d fbbbbbbbbbbbbfffccgg e gcccffbbbbbbbbbbbbfffccg ed gcccffbb ge gb eg cb de ff e bc da bg e b aa cb e fb ed bf ge bc eg bg de gb e cb de fb e bf aa bc e bg ed gb ge cb ed ff ge bc eg bg de b e gb aa cb e ff ed bc e bg ed gbge ceg deb e bf aa bc e bg aa gb e cb ed fb ge bf eg bc de b e gb da cb e ff aa bc e bg ed b ge cb eg fb de bf e bc de bg e gb aa g e ed ge ed ge ed eg aea de aea e aea aa dee e deeg ed deeg e geed ed geed ge eed eg aea de aea e dee aa deeg e deeg aa geed e geeded ee ``` <!-- 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,#fd0808ff b,#0b0bfcff c,#f45550ff d,#bbbbfeff e,#6069ebff f,#f3a29dff g,#add4adff ``` ```image ca acc ac a a fa af a fa a a af fa a a ac cc a a cc af a a fa a a fa fa a af cc a d a af bb af a be a cc bd af a bd fa fa b a a db ca fa eb a af e ebgggggggggggggacg a bb bbggggggggggggagg af be beggggggggggafgg a dbd gbgggggggggfaggg cc eb ggbggggggggagggg a bb gggbggggggcagggg ca be gggebgggggaggggg ggaggggggggggggg dbd ggggebgggccggggg ggfagggggggggggg eb gggggbbggagggggg gggagggggggggggg bb ggggggbeacgggggg ggggagggggggggggbe gggggggbaggggggg ggggafggggggggebd gggggggabggggggg gggggagggggggbbg ggggggfagbgggggg gggggacgggggbbgg ggggggaggebggggg ggggggaggggbeggg gggggcagggebgggg ggggggcagebggggg gggggagggggbbggg gggggggabbgggggg ggggacggggggbegg gggggggbbggggggg ggggaggggggggbeg ggggggbeaggggggg gggafgggggggggbg ggggebgggagggggg ggfagggggggggggb gggbbggggafggggg ggaggggggggggggeb ggbbggggggaggggg gcagggggggggggggeb gbegggggggacgggg a bb ebggggggggggagggg cc be bbgggggggggggccggg a bd be ggggggggggggaggg af b dbd ggggggggggggcagg a b eb gggggggggggggagg a db bb fa fa eb be af a bb dbd a cc be eb af a bd bb a af bd be cc a bdbd a af db fa fa a a fa cc af c a af a cc a ca a fa a a af a cc a cc 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,#0403feff c,#fe4e4fff d,#c4c4feff e,#7e7afbff f,#ffa5a5ff g,#3733faff ``` ```image cac g faa bg aaf bbe faa dbbe aaf ebbd cac ebbd faaf gbb cac gbg faa dbbg aaf dbbe faa dbbe aaf ebbd cac ebbd aaf gbbd cac gbg faa bbg cac dbbe faa dbbe aaf ebbeaa ebbaf gbbd fagbg cacgbg faa dbbe aaf dbbe faa ebbe aaf ebbd cac gbbd faaf gbg cac gbg faa dbbg aac dbbe faa dbbe aaf ebbd cac ebbd aaf gbg cac gbg faa dbb cac db faa d aaf ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area A! Now, let's dive into another area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0706fdff c,#ff8383ff d,#aeaeffff e,#534ffbff f,#fdc4c5ff g,#fa3b3fff ``` ```image cag aac caa gac faa gac faaf gag faaf cag db aac dbb caa ebbe aac ebbd caa dbbbd gac dbbe faaf ebbe gag ebbd faaf dbbbd cag dbbe aaf ebbe cagebbd gbbbd dbbbf ebbeac bbbdfaaf dbbbd gag ebbe faaf ebbe gag dbbbd aaf dbbbd cag ebbe aac ebbe caa dbbbd gac bbbd faa be gag e faaf gag faaf cag aac caa gac faa ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area B! I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0908feff c,#ff7676ff d,#b5b5ffff e,#5a5affff f,#ffbfbfff g,#fd3435ff ``` ```image f ca acg gc a a fa af af fa fa a af cg a a gc gc a a cg ac a fa ca af a fa fa a af cg a d a gc eb gc a be a gg bd af a bd fa cg b a a db cg fa eb a af e eb gc a bb be a ac be bd af a dbd bd fa gc eb b a a bb db ca cg be db a a dbd eb gg fa eb be a af bb beac fa be bg af dbd ab a eb fadb gc bb a db a bd cg eb cg db a be abb gc be bb a bd dbdaf af b eb fa fa b bb af a db be a cg eb dbd gc a bb eb a gc be bb cg a bd be a af b dbd ca fa b eb a af db bb fa ca eb be af a eb dbd a gg be eb gc a bd bb a ac bd be gg a bdbd a af db cg fa a a fa cg af g a ac a gc a cg a fa af fa af a gc a cg a ``` <!-- end of image -->
I'm optimistic that I'll find some intersections in this image. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#eb4a4cff b,#0809feff c,#b0b1feff d,#f9a19fff e,#fe0303ff f,#5c62f2ff g,#afd6b0ff ``` ```image f b bc cb b e fb de b e bf de b e bc da cb e b aa ff e b aa bc e cb aa b e cb ad b e ff ed b e bc ed cb e b ed fb e b ed bf e b e bc de cb e b de ff e b de bc e b de bc e cb da b e ff aa b e bc aa cb e b aa fb e b ad bf e b ed bc e cb ed b e fb b ed b cbf e bf bb ed b cbc e bc bb e cb cbc de b bb e ff fbc deggggggggggggggggg b bb eggggggggggggggggg bc fbc aeggggggggggggggggcb bb geggggggggggggggggb fbc gaeggggggggggggggfb bf ggeggggggggggggggb fb ggaaggggggggggggbf bf gggeggggggggggggbg fb gggaaggggggggggbfg cbf ggggeggggggggggbgg bbggggaaggggggggbggg cbfgggegggggggfbggg gbbggaaggggggbgggg ggfbfgegggggbfgggg ggggbbeaggggbggggg gggggfbagggbgggggg gggggggbbgfbgggggg ggggggggabbggggggg ggggggggedfggggggg gggggggggegggggggg gggggggggedggggggg ggggggggggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gggggggggggggggggg gggggggggggggggggg gggggggggggggggggg ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f02e3cff b,#0806fdff c,#a8a7feff d,#feb9baff e,#fe0304ff f,#5252feff g,#fe7576ff ``` ```image eg ee aeg dee aeg dee eeg gea eed gea eed gea f eed cb gea fb eed cbb gea bbc eed fbb gea bbc deed fbf geg cbbc deed fbf f aeg cbb bbc dee bbc bbbf aeg fbb fbbbc dee bbc cbbbf aeg fbf fbbbc dee cbb cbbbc aeg bbf fbbf dee cbb cbbbcaeg bbc fbbfee fbf cbbbag cbbc fbbb fbf cbbbc cbb gbbbf bbc eabbbbb geafbbc eedcc gea eed gea eed geaggggggggggggg eeeeeeeeeeeeeee dgggggggggggggg ``` <!-- end of image --> Oh my, look at that! It's an intersection in area A! There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f6454eff b,#0404feff c,#bcbcffff d,#fe9f9fff e,#ff0303ff f,#3838ffff g,#7a7affff ``` ```image g b bc cb b e gf de b e fg de b e bc da cb e b aa ff e b aa bg e cb aa bc e gb ad b e ff ed b e bc ed cb e b ed gf e b ed fg e b e bc de cb e b de gf e b de bg e cb de bc e gb da b e ff aa b e bc aa cb e b aa gf e b ad fg e b ed bc e cb ed b e gf f ed b cbg e fg bb ed b cbg e bc bb e cb gbc de b bb e ff gbc de b bb e bg gbc de cb bf e b fbc da gb bf e b fb da fg cbf e b fb aa bc cbg e cb fb aa b cbg e gf bb aa b cbg e fg bbad b cba bc bb cb abb edg e ed eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0505ff b,#585eecff c,#f04947ff d,#abaef9ff e,#0a0afcff f,#ee968fff g,#aed5aeff ``` ```image ggggggggggggggggggggg ggggggggggggggggggggg ggggggggggggggggggggg ggggggggggggggggbgggg gggggggggggggggeegggg ggggggggggggggeeggggg gggggggggggffebccgggg ffffcccaaaaaaaaaaaaaacecccfgggg ccaaaaaaaaaaaaaaacccffff ggggggggggbeggggggggg ccf gggggggggeegggggggggg a ggggggggebggggggggggg cc gggggggebgggggggggggg a gggggbegggggggggggggg fc ggggeeggggggggggggggg a gggeegggggggggggggggg fa ggebggggggggggggggggg a de fa be a ee fa eb a ded fa be a ee a eb a ed a de af be a ee af eb a ded af be a ee af eb a ed cf de a be cf ee a eb cc ded a be cc ee ggggggggggggggag ded gggggggggggggccg ee gggggggggggggagg deb ggggggggggggcagg be ggggggggggggaggg ee gggggggggggfaggg ded gggggggggggagggg ee ggggggggggfaggggdeb ggggggggggaggggee gggggggggfagggee gggggggggaggbedg ggggggggfageeggg ggggggggagebgggg ggggggggeegggggg gggggggeeggggggg gggggbeagggggggg ggggeeafgggggggg ggdebgaggggggggg geeggafggggggggg ebgggagggggggggg beggggafgggggggggg ee ggggaggggggggggg ded gggafggggggggggg ee gggagggggggggggg d ggacgggggggggggg ggaggggggggggggg gccggggggggggggg gagggggggggggggg ccgggggggggggggg a cc a fc a fc a fa a fa a fa a ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0405ff b,#5948edff c,#ff7f7fff d,#a9a7fcff e,#0806fdff f,#ffb6b6ff g,#ff3535ff ``` ```image aa cag aaf cag aaf cag aaf cag aaf cag aaf cag aac caa gac faa gac faa gac de faa bee gac deeed faa deeed gac beeb faa deeed gac beeb faadeeed gabeeed faeeeb beeed beeb deeeb beeeaf beebag deeedaaf beeb cag deeed aaf beeed cag beeb aaf deeed cag beeb aaf eed cag ed aaf cag aac caa gac faa gac faa gac faa gac faa gac faa gac faa gac ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. Let's continue our search in the next region. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0304ff b,#4b47faff c,#f23e4bff d,#a5a5ffff e,#0605fdff f,#fdc1c2ff g,#fe7e7eff ``` ```image d beb beed deeed deeb beeb fffffbeebggccg fffffggggggccccaaaaaaaaaaeeecaaaaac aaaaaaaaaaaaaaaaaaaaaaaceeeccgggggf aacccccggggggfffff deeb beeb beed deeed deeb beeb beed eeed deee deeb beeb beed deeed deeb ``` <!-- end of image --> The close-up clearly shows an intersection point in area B. There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0808ff b,#3939feff c,#fb5a5dff d,#c0bffdff e,#0504feff f,#feaeafff g,#807dfcff ``` ```image g be eb ffegcc ffffcccaaaaaaaaaaaaaaacecccf ccaaaaaaaaaaaaaaaacccffff be ccff ee a eb cc ded a ge ca be a eb fa eg a ded fa be a ee fa eg a ded fa ge a be fa eb af eg a ded af be a ee af eg a ded af ge a be af eb a eg ac ge a be cc eb a eg cc ded a be cc eb a ged cc ee a deg ca be a eb fa ged a ee fa deg a be fa eb a ged fa ee adeg fee eb gea eeaf deg a be af eb a ged af ee a deg af be a d ac a cc a cc a cc a cc a ca a fa a fa a fa a ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#f94342ff b,#5c59f6ff c,#fba8a6ff d,#0606feff e,#b9b9feff f,#fe0505ff g,#add4adff ``` ```image cccccccccccccccccccccccccccccccccccc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf aa f cf f cf fc f ac f aa f cf f cf fc f fc f aa f cf f cf fc f fc f aa f aa f cf f f fc f aa f aa f cf f cf fc f ac f db aa bdb f bdb cf bdb f bdb ggfggggggggggggg bdd ggfcgggggggggggg bdd gggfgggggggggggg bdd gggfaggggggggggg edd ggggfggggggggggg edd ggggaagggggggggg edd gggggfgggggggggg edd gggggafggggggggg edd ggggggfggggggggg edd ggggggcfgggggggge edde ggggggbbddddddddd edde eebbddddddddbbaggggggg edde eebbddddddddbbee ggggggggfagggggg eddebbddddddddbbee gggggggggfgggggg bbee gggggggggaaggggg ggggggggggfggggg ggggggggggafgggg gggggggggggfgggg gggggggggggcfggg ggggggggggggfggg gggggggggggggfgg gggggggggggggfcg ggggggggggggggfg aa f aa f ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#f7373fff b,#5448f2ff c,#ffc1c1ff d,#0505ffff e,#a5a2fbff f,#fe0404ff g,#ff7c7cff ``` ```image cff afg cffc afa cffc gfa ffc gff ffg cff afg cffc afa cffc gfa ffc gfa ffg gff afg cffc afa eeeebbbdd eeebbbbddddddddddddd eeeebbbddddddddddddddddbbbeeee ddddddddddddbbbbaae dbbbeeee gfa ffg gff afg cff afg cffc afa cffc gfa ffg gff afg cff afg cffc afa cffc gfa ffc ``` <!-- end of image --> Wow! I can see an intersection so clearly in area A! I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fd393aff b,#5a56faff c,#ffb0b0ff d,#0505ffff e,#babaffff f,#ff0404ff g,#ff7272ff ``` ```image ccccccccccccccccccccccccccccccccccccc aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf ga f cf f cf fc f ag f ga f gf f cf fc f fg f aa f ga f cf fc f fc f ag f ga f cf fc f fc f ag f ga f cf f cf fc f ag f db ga bdb f bdb gf bdb f bdb cf bdb fc bdd f bdd fg edd f edd aa edd f edd ga edd f edd cf e edde eebbdddddddd edde eebbddddddddbbae edde eebbddddddddbbee fc eddebbddddddddbbee f bbee ag f ga f cf fc f fc f ag f ga f ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#7f8de1ff b,#fb0a09ff c,#0506fdff d,#de675dff e,#a4cba2ff f,#b2d7b2ff g,#3d48e9ff ``` ```image ac c c fc fc eeeeeeeeeeeeeceeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee efffffffffffecffffgcffffffffffffffffffffffffffffffffffffffe efffffffffffcafffffcgfffffffffffffffffffffffffffffffffffffe efffffffffffcfffffffcaffffffffffffffffffffffffffffffffffffe effffffffffggffffffffcefffffffffffffffffffffffffffffffffffe effffffffffcfffeffffffcfffffffffffffffffffffffffffffffffffe efffffffffggfbbbefffffacffffffffffffffffffffffffffffffffffe efffffffffcbbdffbefffffacfffffffffffffffffffffffffffffffffe efffffffddceffffebefffffgcffffffffffffffffffffffffffffffffe effffebbdcfffffffebefffffcgfffffffffffffffffffffffffffffffe effdbbdfacffffffffebefffffcaffffffffffffffffffffffffffffffe edbbefffcefffffffffebefffffcafffffffffffffffffffffffffffffe bbdfffffecfffffffffffebffffffcfffffffffffffffffffffffffffffe dbbfeffffffcaffffffffffffebfffffacffffffffffffffffffffffffffffe bbb effffffcffffffffffffffebfffffacfffffffffffffffffffffffffffe fbbd efffffggfffffffffffffffebfffffgcffffffffffffffffffffffffffe dbb efffffcfffffffffffffffffdbfffffcgfffffffffffffffffffffffffe bbd effffggffffffffffffffffffdbfffffcaffffffffffffffffffffffffe dbbf effffcffffffffffffffffffffdbfffffcafffffffffffffffffffffffe dbb efffacfffffffffffffffffffffdbfffffcfffffffffffffffffffffffe bbd efffcfffffffffffffffffffffffdbffffecffffffffffffffffffffffe bf effacffffffffffffffffffffffffdbffffacfffffffffffffffffffffe effcefffffffffffffffffffffffffdbffffgcffffffffffffffffffffe efecfffffffffffffffffffffffffffdbffffcgfffffffffffffffffffe efcaffffffffffffffffffffffffffffdbffffcgffffffffffffffffffe efcffffffffffffffffffffffffffffffbbffffcafffffffffffffffffe eggfffffffffffffffffffffffffffffffbbffffceffffffffffffffffe ecfffffffffffffffffffffffffffffffffbbfffecffffffffffffffffe ggffffffffffffffffffffffffffffffffffbbfffacfffffffffffffffe cffffffffffffffffffffffffffffffffffffbbfffgcffffffffffffffe acfffffffffffffffffffffffffffffffffffffbbfffcgfffffffffffffe ceffffffffffffffffffffffffffffffffffffffbbfffcgffffffffffffe cefffffffffffffffffffffffffffffffffffffffbbfffcafffffffffffe cfeffffffffffffffffffffffffffffffffffffffffbdfffceffffffffffe c efffffffffffffffffffffffffffffffffffffffffbdffecffffffffffe ca effffffffffffffffffffffffffffffffffffffffffbdffacfffffffffe c efffffffffffffffffffffffffffffffffffffffffffbdffgcffffffffe ga effffffffffffffffffffffffffffffffffffffffffffbdffcgfffffffe c efffffffffffffffffffffffffffffffffffffffffffffbdffcgffffffe ag effffffffffffffffffffffffffffffffffffffffffffffbdffcafffffe c efffffffffffffffffffffffffffffffffffffffffffffffbdffceffffe ac effffffffffffffffffffffffffffffffffffffffffffffffbdfecffffe c efffffffffffffffffffffffffffffffffffffffffffffffffbefacfffe c effffffffffffffffffffffffffffffffffffffffffffffffffbefgcffe c efffffffffffffffffffffffffffffffffffffffffffffffffffbefccfe c effffffffffffffffffffffffffffffffffffffffffffffffffffbefcge ca effffffffffffffffffffffffffffffffffffffffffffffffffffebefca c efffffffffffffffffffffffffffffffffffffffffffffffffffffebefc ga effffffffffffffffffffffffffffffffffffffffffffffffffffffebee c efffffffffffffffffffffffffffffffffffffffffffffffffffffffebe ag eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb c ac c c c c ca c ga c ag c ac c c c c ca c ga c ag c ac c ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#7d7dfeff b,#fe0909ff c,#0404feff d,#fd5254ff e,#c3c2feff f,#feb2b2ff g,#3c3bfeff ``` ```image ecce cce acg acce cce gcc acg gcg cce eccg acg ecca cca ecca ecc acce gca acce ecc gcc gca gcg ecce fdbbf eccg ccedbbbbdfdbbf ecca acgbbbbf dbb acce fccbbdf dbf acce fdbdccdf db gcc fdbbbcca bb gcg fbbbbdacc bbb eccg fdbbbd gca bbb ecca fdbbdf ecc bbb ecca dbbbbd gca bbb acce fdbbbbf ecce bbb acce fbbbbdf acg bbd gcc bbbdf cce fbbd gc bf acg fbbd cg cce fbbd eca acg fbbd cca gca fbbd acce ecc fbbd acce gca fbbd gcce ecc fbbd gcg gca fbbd ccg cce fbbd ecca cg fbbd ecca ce fbbd acce ag fbbd acce ac fbb gcg gc fbf ccg ecc dbf ecca gca bbf ecca ecc dbbf acce gca dbbf acce ecce dbbf gcce acg dbbf gcg cce dbbf ccg acg dbbf eccg cce dbbf ecca acc dbbf acce gca dbbf acc ecc dbbf gce gca dbbf gg ecc dbbf cg gca dbb ccg ecce bbb ecca acg bbb acca cce bbb acce acg bbb gcce cce bbb gcg cc bbd gcg ca fbbd eccg a fbd ecca fbd acce bbd gcce fbbd gcc fbbd gcg fbbd eccg fbbd ecca fbbd ecca fbbd acce fbbd acce fbbd gcc fbbd gcg fbbf eccg fbbf ecca dbbf ecca dbbf acc dbbf ace dbbf gc dbbf cg dbbf ccg dbbf ecca dbbf ecca dbbf acce dbb acce dbf gcg bbf eccg dbbf ecca dbb ecca bbb acc bbb ac bbb g bbb bbb bbd fbbd fbb ``` <!-- end of image --> An intersection is present within area A. I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#8484ffff b,#ff0808ff c,#0605feff d,#fb5d61ff e,#c6c6ffff f,#ffc2c2ff g,#4242ffff ``` ```image e ace c c ec ec ce ac c gc ce cg c ca ga ce c c ag dbbf ec cbbd bf ac ddcf bf gc bbdc bf cg fbbf ec b ca dbb ce fb ce fbbd c fb c dbbf ce fb ec bbd c fb ac fbbd ga fb gc dbbf c fb cg bbd ag fb ca fbbf c fb ce dbb ac db c fbbd c db ec bf ec db ac ce db gc c db cg ce db ca c db ce ga db c c bb ec ag bb ac c bb gc ac bb cg c bd ca ec bd ce ce bd c c bd ec ca bd ac c bd gc ga bd gg c bd ca ag bf ce c bf c ac bf ec c bf ec ec bf ac ce bf gg c bf ca ca bf ce c b c ga fb c fb ag fb c f ac c ec ce c ca c ga c ag c ac c ec ce c ca c ga c ag c ec c ``` <!-- end of image -->
I'm on the case! Let's uncover any intersections hidden in this image. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0a09ff b,#0808fcff c,#f3655fff d,#6770ebff e,#ffb5b5ff f,#b1d6b2ff g,#96c796ff ``` ```image c a ae ea ae ea a ca a cc a ae ae a a ae ae a ea ac a a ca cc a a cc cc a a ac cc a a ae ca ea a a ea ea a a ea cc a a ea ac ae a ea ae fggagggggggggggg ea gfffafffffffffff fgggggggggggagggf gfffacffffffffff gffffffffffcafffg gffffaffffffffff gffffffffffaffffg gffffacfffffffff dd gfffffffffcaffffg gfffffafffffffff dbbbbddbbbbd gfffffffffafffffg gfffffacfffffffffdbbbbdf fbbbbd gffffffffacfffffg gffffffafffddbbbbd dbbbbdfffffffaffffffg gfffffdbbbbbdfff dbbbbdffacffffffg gdbbbbddafffffff gfffgdbbbbdfffffg fdbbbbdgfffffccffffff gffffffagdbbbbdfg bbbbd gffffffffaffffff gfffffcafffffgdbbbdf gffffffffcafffff gfffffafffffffffg dbbbbd gfffffffffafffff gffffcafffffffffg dbbbdf gfffffffffcaffff gffffaffffffffffg dbbb gffffffffffaffff gfffacffffffffffg gffffffffffcafff gfffafffffffffffg fgggggggggggaggg gffacfffffffffffg ea fggaggggggggggggf a ae ea ea ae a ea ca ae a a cc ae a a ac ae a a ae ac ea a a ac ea a a cc cc a a cc ac a a ca ae a ea ca a a ea ea a a ca ea a a ac ea a aae a ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0705fdff c,#fc383aff d,#5756feff e,#ff8080ff f,#a5a4feff g,#ffbebeff ``` ```image gaag eac aag eac aag eac aag eac aae eaa aae eaa cae gaa ffdb cae fddbbbbbb gaaffddbbbbbbbbdff ffdbbbbbbbbddff ffdbbbbbbbbddf fddbbbbbbbbdffcae bbbbbbbdff gaag bddff cac gaag cac gaag eac aag eac aag eac aag eac aae eaa ``` <!-- end of image --> An intersection is present within area A. Onward to the next region of interest. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0607ff b,#0806fdff c,#fe4848ff d,#625af6ff e,#ff8f8fff f,#b3b3ffff g,#fecacaff ``` ```image cac gaag cae eaa aae eaa aae cac gaag cac gaag cac eaa ddf aae bbbbbdff eaa fdbbbbbbbddf aae fddbbbbbbbddac ffdbbbbbbbddf fdbbbbbbbbdff gaagffdbbbbbbbddf cac fddbbbbbb eaa ffdbb aae eaa aae eac gaag cac gaag cac gaag aae eaa aae ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area B! After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0707feff c,#ff4a4aff d,#6161ffff e,#ff9090ff f,#afafffff g,#fecfcfff ``` ```image e a ae ga ag ea a ec a cc a ae ae a ga ae ag a ga ce a a ea cc a a cc cc a a ae cc a a ag ea ga a ag ea ea a a ea cc ag a ga ae ag a ga ae ag ga ga ag ae ea a a ae fd cc a dbbbbddbbbbf a ae fdbbbbdf fdbbbd cc a fdbbbbd dbbbdf a fbbbbbf fbbbbd ae fdbbbbdfa dbbbdf fdbbbbdf cc agfbbbbd bbbbd a ea fdbbbdf cc a fbbbbd a ec fdbbbdf ec a fbbb a cc ea a a ae ea ga a ag ga ga ag a ga ea ag a ga cc ag a a ae ae a a ag ae ga a ag ce ea a a cc cc a a cc ae a a ec ae a ga ea ag a ea ea a a cc ga a ag cc ga a aae ga ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#0909feff b,#fd0807ff c,#b6b6ffff d,#b1d7b1ff e,#f3706aff f,#6265f8ff g,#97c697ff ``` ```image dddddddddddddddg dddddddddddddddg dddddddddddddddg dddedddddddddddg dddebbeddddddddg ddddddebbbgddddg dddddddddebbbedg dggggggggggggggg ddddddddddddgbbbe gddddddddddddddd dddddddddddddddgebbe gddddddddddddddd dddgdddddddddddg ebbbd gddddddddddddddd dddafddddddddddg dbbbe gddddddddddddddd ddddaddddddddddg ebbe gddddddddddddddd ddddafdddddddddg ebbb gddddddddddddddd dddddadddddddddg ebbbe gddddddddddddddd dddddafddddddddg bbbeed gddddddddddddddd ddddddaddddddddg eebbbbbbbbbeeed gddddddddddddddd ddddddafdddddddg eeebbbbbbbbbeeed gddddddddddddddd gggggggagggggggd eeebbbbbbbbbbeegdddddddd ac gddgeeebbbbbbddd a gddddddddddddddd ac gddddddddddddddd a gdddddddddddaddd ac gddddddddddafddd ca gdddddddddgadddd ac gdddddddddaddddd ca gddddddddafddddd ac gdddddddfadddddd ca gdddddddaddddddd a gddddddagddddddd ca gdddddaadddddddd a dgggggaggggggggg ca a a af ca fa a a ca ac a ff ca ca a a ca af a fa ca a a ac fa fa a ca fa a a af fa ca a a ff ac a fa ff ca a a ff af a ca ff a a ac ff fa a a ff a a af ff ca a a af ac a fa af a a ac af af a ca ac a a ac ac fa a a ac ac a af ac ca a a ac af a fa ac a a ac aaf a ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0202ffff b,#ff0404ff c,#9898ffff d,#fbcbcfff e,#ff4747ff f,#2121ffff g,#ff8989ff ``` ```image gd dbbbgd debbbbbeg debbbbbegd dgebbbbegd dgebbbbbed gebbbbbeg dgbbbbbeg dgebbb dge dc caf fac caf fac caf fac caf fac caf aac caf aac caf aac caf ``` <!-- end of image --> The lines within area A do not intersect. Let's inspect the next region. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0404ff c,#d6d1f9ff d,#ffa8a8ff e,#ff5353ff f,#3b3bffff g,#8282ffff ``` ```image dddc bbbbbbbeeeeddddc eebbbbbbbbbbbbbbbbbeeeeddd ddddeeeebbbbbbbbbbbe ddddeeee gc gaa caag faf gaac caac aag faf gaac caag faf gaac caac aag faf gaac caag faf gaac ``` <!-- end of image --> No luck this time. Area B doesn't have an intersection. My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0606ff c,#c4c4ffff d,#ffafafff e,#ff5b5bff f,#3e3effff g,#8484ffff ``` ```image d ebbe ebbbd dbbbd debbe ebbe c dbbbd ag dbbbd a ebbe ag ebbed a dbbbd ac dbbbedd a eebbbbbbbbbeedd ac ddeebbbbbbbbbeedd a ddeebbbbbbbbbeedd ac ddeebbbbbb a ac ca a ac ff ca ca ac a ca ag ac ga ca a ac ac ca ff a ca ca a a ag ca ga a a ca ac a ff ga ca a a ga ag a ga ga a a ac gf ff a ca gf a a ag gf ga a a gf ac a ff gf ca a a ff ag a ga ff a a ac ff fa a ca fg ac a ff fg ca a a fg ag a ga fg a a ac fg ff a ca ag a a ag ag ga a a ag ac a ff ac ca a a ac ag a ga ac a a ac aff ca ``` <!-- end of image -->
I'm optimistic that I'll find some intersections in this image. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#474bf6ff b,#fd0b0aff c,#0506feff d,#f5746fff e,#9195f7ff f,#e6cfe7ff g,#add5adff ``` ```image f acc aca aa ace c cce ec cce cf cce fc fcce ce fccf c fccf ce eccf c ecc aa ecc c ecc ec eca cf aca fc aca cf aca c ca ce c aa c ec c ec cf fc ce c aa c ea c ec cf fc ce f fc bbbf gggcagggggggggggggg dbbd ggggcgggggggggggggg dbbd ggggaaggggggggggggg bbbf gggggcggggggggggggg fbbb gggggecgggggggggggg dbbd ggggggcgggggggggggg dbbd gggggggcggggggggggg fbbbf gggggggcegggggggggg fbbd ggggggggcgggggggggg fddbbb dbbd ggggggggcaggddbbbbbbbbddf dbbf gggddbbbbcbbbddgggg fbbbf fddbbbbbbbbddgggaagggggggg dbbd fddbbbbbbbddf ggggggggggcgggggggg dbbddf ggggggggggacggggggg gggggggggggcggggggg gggggggggggecgggggg ggggggggggggceggggg gggggggggggggcggggg gggggggggggggcagggg ggggggggggggggcgggg ggggggggggggggaaggg c ec c ec cf fc ce c aa c ea c ec cf fc ce c aa c aa c ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3d37f8ff b,#fe0606ff c,#0404feff d,#ffb2b2ff e,#807cfbff f,#c1bffdff g,#fb565aff ``` ```image fcc ace fccf aca fccf eca ccf eca cce ecc ace fccf aca fccf eca ccf eca cce ecc dddg ace dddgggbbbbbbb ddeccgbbbbbbbbbbbbbggg dddggggbbbbbbacabbbbgggddd gbbbbbbbbbbbbbbgggccf bbbbbbgggddd aca ddd fccf eca cce ecc ace fcc ace fccf aca fccf eca ccf ecc cce fcc ace fccf aca ``` <!-- end of image --> There's no doubt about it - this is an intersection in area A. After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#4040ffff b,#fe0606ff c,#0505ffff d,#ffa7a8ff e,#8282ffff f,#c8c8ffff g,#ff5454ff ``` ```image f acc ace ea ace c cce ec cce cf cce fc fccf cf fccf c fccf ae fccf c ecc aa ecc c ecc ec eca c eca fc aca cf aca c ce ce c aa c ec c fc cf fc ce c aa c ea c fc cf fc ce d c bbb ae dbbg c gbbd ea gbbd c dbbg ec dbbg cf gbbd fc bbb cf dbbg c ddgbbb gbbd ae dggbbbbbbggd gbbd dggbbbcbbggd dbbg ddgbbbbbbbggd aa dbbg ddgbbbbbbbgdd c gbbgdd ec c fc cf c ce c aa c ec c fc cf fc ce c aa c ea c fc cf fc ce c ae c ea c ``` <!-- end of image -->
This image seems promising for intersection detection. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0706ff b,#0707fdff c,#a8abf9ff d,#feb7b6ff e,#535af1ff f,#e15752ff g,#aed5aeff ``` ```image ggggggggggggggggggg ggggggggggggggggggg ggggggggggggggggggg ggggggggggggggegggg ggggggggggggggbgggg gggggggggggggbcgggg ggggggggggggcbggggg ggggggggggggbgggggg gggggggggggebgggggg gggggggggggbggggggg ggffffaaaabfaaagggg dddfffaaaaaaaaaaaaaffffggggbgggggggg faaaaaaaaaaaafffddd gggggggggbggggggggg ffd ggggggggebggggggggg a ggggggggbgggggggggg ff gggggggeegggggggggg a gggggggbggggggggggg af ggggggbeggggggggggg a ggggggbgggggggggggg ad gggggbggggggggggggg a ggggebggggggggggggg ad ggggbgggggggggggggg a gggbegggggggggggggg ad gggbggggggggggggggg a bc ad cb a b ad ee a b ad bc a b ad b da cb ad b da ee bc a b b da bc cb a cb cb da b eb a eb be da b bc gggggggggggggagg be b ggggggggggggfagg b cbggggggggggggaggg bc ebggggggggggfaggg cb begggggggggagggg b gbegggggggfagggg ee ggbgggggggaggggg b gggbgggggfaggggg bc gggebggggagggggg cb ggggebggfagggggg b gggggbegaggggggg eb ggggggbffggggggg b gggggggbgggggggg be ggggggffbggggggg b ggggggagebgggggg bc gggggffggbbggggg cb gggggaggggbegggg b ggggffgggggbgggg ee ggggagggggggbggg b gggafgggggggcbgg bc gggagggggggggebg b ggafggggggggggbe b ggaggggggggggggbc cb gafgggggggggggggb b gagggggggggggggg b ee afgggggggggggggg cb b a eb bc ad be cb a bc b ad b eb a cb b ad eb be a be b ad bc bc a b cb ad b b da cbee ad eb da a da a ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0304ff b,#0807fdff c,#5555ffff d,#ffbabaff e,#ff3131ff f,#fa777bff g,#b0b0ffff ``` ```image eaf daa eaf daa c eaf bg faa bbg eaf cbbg fae cbb aaf bbc fae gbbc aad gbbg fae cbbg aad cbb fae cbc aad bbc fae gbbc aad gbbg fae cbbg aad cbb fae bbc aad gbbc fae gbbg aad gbbfae cbbad bbb dabbc fafbbc daadgbbg eae cbbg daad cbb eaf bbc daad bbc eaf gbbg daad gbbg eaf cbbg daa cbb eaf bbc daa gbbc eaf gbbg daa gbbg eaf cbb daa cbb eaf bb daa gb eaf g daa eaf daa eaf ``` <!-- end of image --> Gotcha! I've found the intersection hiding in area A! Okay, let's proceed to the next area. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0504feff c,#7e7bfcff d,#ffb0b0ff e,#4136f4ff f,#fd5e60ff g,#c0c0ffff ``` ```image c gbb bbc cbe gbbg ebe gbbg ebc cbb bbc cbe gbbg ebe ddcbbfffffff dddddffffffaaaaaaaabbeaaaaaaf aaaaaaaaaaaaaaaaaaaaaebbffffdddd aaaaaffffffddddd bbg ebe gbbg ebc cbb bbc cbe gbbg ebe gbbg ebc cbb bbg cbe gbbg ebc gbb bbc cbe gbbg ebe gbbg ebc ``` <!-- end of image --> There's no doubt about it - this is an intersection in area B. I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0707ff b,#0504feff c,#8282ffff d,#ffb0b0ff e,#3e3effff f,#f7535bff g,#c5c5ffff ``` ```image c b bg gb b ce b ddfffaaaabfaaa dddfffaaaaaaaaaaaaaffddd gb faaaaaaaaaaaafffddd bg ffd cb a b ff ee a b af bc a gb ad b a ce ad b a ec ad b a bg ad gb a b ad ee a b ad bc a gb ad bg da cb ad b da ee bg a b b da bg gb a gb cb da b ee a ce bc da b bg a bc b da b gb a bg cb da cb be a b bc da ee bg a b gb fa bc cb a gb eb ff b bc a cb bff b b ec ffb b a cb bg ff ee gb a bc b ff bg ee a b b ff gb bc a eb gb af be bg a bg cb ad b b a gb ee ad cb b a ee bg ad bc gb a bg b ad b ce a gb b ad cb bc a ee b ad bc bg a bg cb ad b b da gbee ad eb da a da a ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#f1423bff b,#0708fdff c,#ea9389ff d,#a8aafaff e,#fd0404ff f,#5459f4ff g,#b0d6b0ff ``` ```image c ec e ec e ec e ec e e e e e e ce e ce e ce e ca e ca e ca e aa e bd aa b e db ac bf e b ac db e ff ac bd e b ecgggggggggggggggggggggggggggggggg fb egggggggggggggggggggggggggggggggg bd ecggggggggggggggggggggggggggggggg b geggggggggggggggggggggggggggggggg e db gecgggggggggggggggggggggggggggggg ec bf ggegggggggggggggggggggggggggggggg ce b ggecggggggggggggggggggggggggggggg ae db gggeggggggggggggggggggggggggggggg ea bf gggeggggggggggggggggggggggggggggg ec b gggcegggggggggggggggggggggggggggg ce b ggggegggggggggggggggggggggggggggg ae fb ggggceggggggggggggggggggggggggggg ea bd gggggeggggggggggggggggggggggggggg ec b gggggcegggggggggggggggggggggggggg ce fb ggggggegggggggggggggggggggggggggg ae bdggggggceggggggggggggggggggggggggg ea bgggggggeggggggggggggggggggggggggg ec dbggggggcegggggggggggggggggggggggg ce bfggggggegggggggggggggggggggggggg ae gbggggggaaggggggggggggggggggggggg ea ggbggggggeggggggggggggggggggggggg ec ggbfgggggaagggggggggggggggggggggg ce gggbggggggegggggggggggggggggggggg ae ggggbgggggaaggggggggggggggggggggg ea ggggfbgggggeggggggggggggggggggggg ec gggggbdggggaaggggggggggggggggggggce ggggggbgggggegggggggggggggggggggae ggggggfbggggaagggggggggggggggggee gggggggbfggggeggggggggggggggggeag ggggggggbggggaagggggggggggggceggg ggggggggdbggggeggggggggggggaegggg gggggggggbfgggecggggggggggeeggggg dbb ggggggggggbggggegggggggggeagggggg dfbbfd gggggggggggbgggecggggggcecggggggg fbbbd gggggggggggfbgggegggggaeggggggggg dbbbf ggggggggggggbgggecgggeegggggggggg fbbbd gggggggggggggbgggeggeaggggggggggg dbbbf gggggggggggggfbggeaecgggggggggggg dfbbfd ggggggggggggggbfggegggggggggggggg fbbbd b dbbbf db fbbbd bf dbbbd b dfbbf dbbd ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff3637ff b,#0909ffff c,#ff7a7aff d,#b7b7ffff e,#ff0404ff f,#5f5fffff g,#ffbcbcff ``` ```image ee eec cea eeg cea eeg cea eeg cea eeg cea eeg cea eeg cea geeg cea geeg aec geeg aec gee aec gee aec gee aec gee aec gee aec d gee bd aec bf cee bbf eec dbbd cea fbb eeg bbf cea dbbd eeg fbb cea bbf eeg dbbd cea fbb eeg fbf cea dbbd eeg dbbd cea fbb eeg bbf cea dbbd geeg fbb cea bbf geeg dbbd aea fbb geeg bbf aec dbbd gee ga fbb aec gee fbf gee ceea bbf aec aeec dbbd gee gaeeg fbb aec geeag bbf gee ceea dbbd aec aeec fbb gee gaeeg bbf aec geeag dbbd gee ceea fbb aec aeec bbf cee gaeeg dbbd eec geeag dbbd cea ceea fbb eeg aeec bbf cea gaeeg dbbd eeg geeeg fbb cea ceea bbf eeg aeec dbbd cea gaeeg fbb eeceeeg bbf ceeea ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff3a3aff b,#0707ffff c,#ff8d8dff d,#acacffff e,#ff0303ff f,#5757ffff g,#f8d8deff ``` ```image g ac e ec e ec ge eg ge eg ge eg ge eg ge e ce e ce e ca e ca e ca e aa e bd aa b e db ac bf e b ac db e ff ac bd e b ec fb e bd ec b e e db eg gec bf ge ceg b eg ae db ge ea bf eg gec bg ge ceg gb eg ae fb ge ea bd eg gec b ce ceg fb e ae bd ce ea b e gec db ca ceg bf e ae b ca ea db e gec ff ca ceg bg e ae b aa ea fb e gec bd aa ceg b e ae db ac ea bd e gec b ac ceg db e ae bf ac ea dbb b e ec dfbbfd gb ec ceg fbbbd ff e ae dbbbf bd ec ee fbbbd b e ec dbbbf fb eceg dfbbfg bd ge fbbbd b dbbbf db gfbbbd bf dbbbf b dfbbfg dbbd ``` <!-- end of image -->
I'm optimistic that I'll find some intersections in this image. There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff4040ff b,#0505ffff c,#ff8787ff d,#a4a4ffff e,#ffc8c8ff f,#ff0505ff g,#4b4bffff ``` ```image d ddggbbbbbbbbbbg dddggbbbbbbbbbgggdd ddggbbbbbbbbbbggdd bbbggddd bg dbd gb bb bg bd db gb bg bd db gb bg bd db a gb ffc bg fc f bd fa ef db af aa gb cf fe bb ef f bg ef cf dbd f fc gb fe f bb fc ef bg fa aa dbd af fe gb cf f d ef cf ef aa f fe fe f fc cf fa fc aa f cf ef cf aa ef fe f f fe cf fc fa fa fe aa ef af cf cf fc ef f f ef fe aa fc fe fa f aa cf af fc cf fe ef ef f af fe fc f ef aa fe f cf fc f ef af fc f ef aa fe f cf fc f ``` <!-- end of image -->
Let's examine this image for potential line intersections. My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3d3dffff b,#ff5959ff c,#ffb7b7ff d,#8484ffff e,#ff0b0bff f,#0505ffff g,#c5c5ffff ``` ```image d af af af df df df df df gf gf gf gf gf gfg gf fg dff fg dff fg dff fg dfa fg dfa fd afa fd afa fd afd fd afd fd ffd fa ffd fa ffg fa gffg fa gffg fa gffg fa gffg af dff af dff af dff af dfa afa c ceee ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceeec ceec be ee eb cec be ee eb cec be ee eb ec ce be ee eb cec be ee eb cec be ee eb ec ce be ee eb ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0707fdff c,#f45d5dff d,#a9abfbff e,#ffb4b4ff f,#515beaff g,#add4adff ``` ```image e eaa a eac ea cae a aa a eaa ae cac a cae cc aa a eac cc cac a aae ea aa a eac ea cae ae aa a eaa ae cac a aae cc aa a eac cc cae a aa ea eaa a cac ea aae ae a a ae a cc a cc a ea a ea ae a ae a cc a cc a ea a ea ae a ae a cc a gggggggggggcaggg gggggggggggagggg ggggggggggcagggg ggggggggggaggggg ggggggggggaggggg gggggggggagggggg gggggggggagggggg ggggggggacgggggg ggggggggaggggggg fffffffccdgggggg fffffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ggggggcagggggggg dbbbd ggggggaggggggggg dbbbd gggggcaggggggggg dbbbd gggggagggggggggg dbbbd gggggagggggggggg dbbbd ggggaggggggggggg fbbd ggggaggggggggggg fbbf gggacggggggggggg fbbf gggagggggggggggg fbbf cc fbbf a dbbf cc dbbbd a dbbbd ea dbb a ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0806fcff c,#f77178ff d,#a4a4ffff e,#ffb3b3ff f,#4c4afcff g,#fb2c30ff ``` ```image cag aae cag gae eag gac eaa gac eaa cac aae cag aae cag gae eaa gac eaa ddddddddddddddcgcddddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffffffffffffffbbfffbbbbbbbbbbb aae cag aae cag gae eaa gac eaa gac eaa cac aae cag aae cag gae eaa gac ``` <!-- end of image --> Incredible, there's actually an intersection in area A! I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0706feff c,#fc7c7fff d,#ababffff e,#ffc1c1ff f,#5555ffff g,#fb3e41ff ``` ```image e caa a eag ea gac ae aae a eaa ae cac a gae gc aa a eag cg cac a aae cg eaa a cag ea gae ae aa a eag ae cac a gae gc aa a eag cg gac a aae ca eaa a cac ea gae ae a a ae a gc a cg a ca a ea ae a ae a gc a cg a ca a ea ae a ae a gc a cg a ea a ea ae a ac a fddddddgcdddd fffffffbfbbbbbbbbbbbbbbbbbbbbbbbbbbbbf cg dbbbd a dbbbd ea dbbbd a dbbbd ea dbbbd ae fbbd a fbbf ac fbbf a fbbf gc fbbf a dbbf cg dbbbd a dbbbd ea dbb a ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#7979ffff b,#ff0606ff c,#0606ffff d,#ffa6a6ff e,#c2c2ffff f,#ff5050ff g,#4545ffff ``` ```image e gcc ecca gcce ecca gcce ecca gcce ecca gcce ecca gcce ecca gcce ecca gcce ecca gcce gca cg ace cc ace cc eca gc cg ace cc ace cc eca gc cg gce cc ace cc eca b gc bbd cg bbd gce bbd cc dbbd ce dbb dbb dbb dbb dbb dbb fbf fbf fbf fbf fbf fbf bbf bbd bbd bbd bbd bbd fbd dbf dbb bb bbd fbd fbf dbf dbb bb bbd fbd dbf dbb bb bbd fbd fbf bf ``` <!-- end of image -->
I'm curious to see if this image contains any intersection points. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0a09ff b,#0809feff c,#ef665eff d,#a5a8f9ff e,#ffb5b5ff f,#6163f4ff g,#aed5adff ``` ```image e ca aca ac a a ea ae a ea ea a ae ca a a ac cc a a cc ae a ea ea a a ea ea a ae cc a a ac ae a a cc ae a ea ca a a cc ea a ae ac a a gacggggggggggggg ae ggaggggggggggggg ea ggacgggggggggggg a gggagggggggggggg ca gggcaggggggggggg fb a ggggaggggggggggg dbbbf gggggggggggggacg ggggcagggggggggg fbbbd gggggggggggggagg gggggagggggggggg dbbbf ggggggggggggacgg ggggggaggggggggfbbbd ggggggggggggaggg ggggggacgggdbbbf gggggggggggagggg gggggggafbbbfggg ggggggggggcagggg ggggdbbbfggggggg ggggggggggaggggg gfbbbfggaggggggg gggggggggacggggg dbbbfggggggcagggggg gggggggggagggggg fbbbd gggggggggagggggg ggggggggacgggggg dbbbf gggggggggcaggggg bbbbbbbbbbbbbbbbbbbbbbbbffffffffffddfbbbd ggggggggggaggggg gggggggaggggggggddddddddddfffffff gggggggggggagggg ggggggcagggggggg gggggggggggacggg ggggggaggggggggg ggggggggggggaggg gggggccggggggggg ggggggggggggacgg gggggagggggggggg gggggggggggggagg ggggacgggggggggg cc ggggaggggggggggg a gggagggggggggggg ea ggcagggggggggggg a ggaggggggggggggg ea gcaggggggggggggg ae a a ac ac a a ae cc ea a a ca ca a a ea ac ae e a ae a cc a ca a ea ae ea ae a ac a ca a ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd2f30ff b,#0302feff c,#fd7476ff d,#c2c2ffff e,#ffb8b8ff f,#3131ffff g,#fe0304ff ``` ```image egge agc egg ggc cga gge cga egge agc egg agc cga gge cga egge agc egg agc cga gge dddddddddddddddcga bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffffffffffffbbbbbbbbbbbbbbbbbbb egg dddd agc cgg gge cga egge aga egge agc egg ggc cga gge cga egge agc egg agc cga gge ``` <!-- end of image --> An intersection is present within area A. Let's continue our search in the next region. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff4949ff b,#0706feff c,#fb898cff d,#a7a7ffff e,#fcc9cbff f,#5651faff g,#fe0707ff ``` ```image ggc cgg ggc egge aga egge aga egge cga ggc cgg ggc cgg aga egge aga egge d cga dfbb ggc dfbbbbbb cgg dfbbbbbfdd ggcfbbbbbbfd dfbbbbbfdd dfbbbbbbfd dfbbbbbfdegge dfbbbbbbfd aga fbbbbbfdd egge bbbfd aga dd ggc cgg ggc cgg agc egge aga egge aga egge cgg ggc cgg ggc egge aga ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area B. Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff3535ff b,#0909ffff c,#ff7676ff d,#afafffff e,#ffbebeff f,#6866fdff g,#fe0303ff ``` ```image e cg gca ac g g eg ge ge eg eg g ge ca g g ac ac g g ca ge g eg cg g g cg eg g ge aa g g ac gc g eg aa ge g eg ca g g ca eg g ge ac g g gc ge g eg ac g g ca ca fb g g dbbbf ac eg fbbbd g ge dbbbf ge eg fbbbd eg ge dbbbf g gfbbbd ca dbbbf g fbbbd g ac dbbbf ca g fbbbd g ge dbbbf eg bbbbbbbbbbbbbbbbbbbbbbbbfffffffffffdfbbbd ge ge ddddddddddffffffff eg cg ge g g aa ac g g gc ca g g ge cg eg g g eg ca ge g g ac ac g g ge aa eg g g ca ca g g eg ac ge e g gc g ac g ca g eg ge eg ge g ac g ca g ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0b0bfcff c,#f59a96ff d,#6368f5ff e,#b8b8ffff f,#add4adff g,#f54d49ff ``` ```image gac a ac a ag ag ag ca ag a aa ac aa ca ga a ga ac ga gg ca a ca a ca ag ca ca a a a ac ac ca ac a ac ac ac gg ag a ag a ag ag aa ca aa a ga ac ga ca ga a cafffffffffffffff ac gafffffffffffbff gg fcafffffffffbfff a ffcafffffffbffff a ffffafffffbdffff ag fffffafffbdfffff ca ffffffacbbffffff a fffffffbbfffffff ac ffffffdbacffffff ca ffffffbffagfffff a fffffbffffagffff ac ffffbffffffagfff gg fffbdfffffffagff a ffbdfffffffffaff fffffffffaff fbbfffffffffffff ffffffffagff bbffffffffffffff fffffffcafff db fffffffaffff eb ffffffagffff b fffffgafffff b fffffaffffff be ffffacffffff bd fffgafffffff bd fffgffffffff bb ffffffffffff db ffffffffffff eb ffffffffffff eb ffffffffffff b ffffffffffff be fffbdfffffff be ffffbbdfffff bd bb bb ebd db dbe eb bb eb ebb b dbd be bbe be bb bd dbd bb bbe db bb db ebd eb dbe b bb b ebb be dbd bd bbe bd bb db dbddb bb ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0303ffff c,#ff7979ff d,#7474ffff e,#f2d1ddff f,#ffadadff g,#ff3d3cff ``` ```image gag caae eaaf gag caa faaf aac gag faae eaac gag caae eaaf gag caa faaf aac gag faae cc de ebbd dbbbd ``` <!-- end of image --> This close-up reveals that there are no intersections in area A. Okay, on to the next area of interest. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0505ff b,#0606feff c,#fb8c90ff d,#433ffaff e,#e6d3ecff f,#9393feff g,#fb3d41ff ``` ```image c ac aac e caac ebd caag ebbd caag ebbd caag dbd caag dbbe eaag dbbe eaag fbbf eaage fbbf eaaae fbbf egaae ebbd egaae ebbd gaae dbd gaadbbe gdbbe fbbgc fbbcaac fbbf caac ebbd caac ebbd caac ebbd caag dbbe caag dbbe caag dbbe caag fbbf eaag fbbf eaag ebbf eac ebbd ebbd dbd dbbe ``` <!-- end of image --> An intersection is present within area B. After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0a09fdff c,#ff7c7cff d,#6060ffff e,#bbbbffff f,#ffc6c6ff g,#ff3a3aff ``` ```image f gac fa ac a ac ac ag fa ag a ag ac ga ca ga a ga af ca gg ca fa ca a fa ac fa fa faf a faf ac af ca af a ac af ac gg ac fa ag a ag gc ag fa ga a ga ac ga ca ca a ca e af ca eb gg fa b fa fa be a fa be gg faf bd fa afbb a bb ac ebac ca eb ac a b ac af be ag gg be ag fa bd a af bd gg db fa db a eb ac b ca b a be af bd gg bd c db db eb eb b be bd be bbe bd bb bb ebd db dbe eb bb eb ebb b dbd be bbe be ebb bd dbd bd bbe db bb db ebd eb dbe b bb b ebb be dbd bd bbe bd ebb db dbddb bb ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#fb0d0cff b,#090afbff c,#e37c6eff d,#6571e3ff e,#b2d7b2ff f,#a4cca3ff g,#eff2efff ``` ```image c ca ga ag ae ac aa ca ca ga ag ac ggggggggggggggggggggggggggggggggggggggggggggggggac fffffffffffffffffffffffffffffffffffffffffffffffaag ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecafg ag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaefg ag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeefg gag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeefg gag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeefg gag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeefg ga feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeefg ga feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeefg ea feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeefg ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeefg ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeeeeeeeefg ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeefg ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeefg ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeefg aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeefg aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeeeeefg gdb aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeeeefg edbbbdg aa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeeeeeeeeeeeeefdbbbbd ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeedbbbbdg ac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeefdbbbbdeeefg acfeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeedbbbbdfeeeeeeefg aceeeeeeeeeeeeeeeeeeeeeeeeeeecadbbbbdeeeeeeeeeeeefg aceeeeeeeeeeeeeeeeeeeeeeedbbbbdfeeeeeeeeeeeeeeeefg faceeeeeeeeeeeeeeeeefdbbbbdaeeeeeeeeeeeeeeeeeeeefg feafeeeeeeeeeeeedbbbbdfeeeafeeeeeeeeeeeeeeeeeeeefg feeafeeeeeeeeedbbdeeeeeeeaceeeeeeeeeeeeeeeeeeeeefg feefafeeeeeeedbeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeefg feeefafeeeeefbeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeefg feeeefaeeeefbeeeeeeeeecaeeeeeeeeeeeeeeeeeeeeeeeefg feeeeecaeeebfeeeeeeeefaeeeeeeeeeeeeeeeeeeeeeeeeefg feeeeeecaebdeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeefg feeeeeeecbdeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeeeeeeefg feeeeeeebbaeeeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeefg feeeeeebbecaeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeefg feeeeedbeeecaeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg feeeedbeeeeeaaeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg feeefbeeeeeeeaafaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg feeebfeeeeeeeeaafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg feebfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg febdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg fbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg dbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg dbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg eb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bd feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bd feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bb fffffffffffffffffffffffffffffffffffffffffffffffffg db ggggggggggggggggggggggggggggggggggggggggggggggggg db gb gb bg bg bd bd bb db db gb gbg bg be ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0a08fdff c,#fd8183ff d,#6562fcff e,#b6b6feff f,#fe3d3eff g,#ffc5c5ff ``` ```image a fa faa caag caag gaac gaaf aaf faf faag caag caag gaac gaaf aaf faf faag caag caac gaac gaaf aaf faf faag caag caac gaac gaaf faf faa faag caag caac gaac gaaf faf faa faag e caag eedbbb gaac eddbbbbbbb gaac eedbbbbbbbdde gaaf eddbbbbbbbdee faf eddbbbbbbbdde faa edbbbbbbbbde c caag eddbbbbbbbdde ac caaddbbbbbbbbde aac edbbbbbbbbdde caag eedbbbbbbbdde caag eddbbbbbbbbde faag eedbbbbbbbddefaf faag eddbbbbbbbdee faa faag eedbbbbbbbdde caag faag dbbbbbbbdee caag faag dbbbdde gaac faag dbbe gaac faf ebbe gaaf faf ebbd faf gaaf ebbd faag gaaf bbd caag gaaf bbb caag gaaf dbb gaac gaaf dbbe gaac gaaf dbbe aaf gaac dbbe faf gaacbbd faag cabbd caag ebbbc caag bbbaac gaac bbb caac gaac dbb caag aaf dbbe caag faf dbbe faag faag ebbe faag caag ebbd faag caag ebbd faag gaac ebbd faaggaaf bbd faaaaf bbb faaf dbb fag dbbe dbbe ebbe ebbd ebbd ebbd bbb bbb bbe be e ``` <!-- end of image --> I can confirm that an intersection exists in area A. There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0505feff c,#ff9d9dff d,#5251feff e,#a3a2feff f,#ff4e4eff g,#f1dae7ff ``` ```image c ca ga ag ac af af fa ca ga ag ac af fa ac fa ac ca ag ga ag ag gag ac gag af ga fa ga ca ca ca ca ga ca ag fa ac fa af fa fa fa ca aa ga eb af ga edbbbdg af ag gdbbbbe af ac edbbbdg af af gdbbbde ac fa edbbbdg ac cadbbbde ac edbbbdg ac gdbbbdea ag ebbbbdg ag ag dbde ac gag eb af ga gb fa ga b ca ga bg ga ca be a cbd ag bda ac db fa af db fa fa eb fa ca gb faga b aag bg be bd bd db eb eb gb bg be be bd bd db eb eb gb bg be be bd db db eb gb gb bg be ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#5d63f1ff b,#f86662ff c,#b3b3ffff d,#ffbcbcff e,#fd0909ff f,#090afdff g,#aed5aeff ``` ```image b de e e ed eb be be de e ed eb eb be de de e ed eb f ee cf be fa de fc e f ed af ed fa eb f be f be af de fa e f ed cf eb af ee fc be f de cf e af e fc ed f eb cf be fa be fc de f e cf ed faggggggggggggggggg eb fggggggggggggggggg eb fgggggggggggggggg be afggggggggggggggg de gfagggggggggggggg de ggfgggggggggggggg e gggfggggggggggggged gggafgggggggggggeb ggggfagggggggggee gggggfggggggggebg ggggggfgggggbeggg ggggggafgggeegggg gggggggfagebggggg ggggggggfeggggggg ca gggggggeefggggggg cffffa ggggggebgffgggggg affffc ggggbeggggfaggggg cafffac gggeeggggggfggggg cafffa ggeegggggggafgggg cffffc gebgggggggggfaggg afffac beggggggggggggfggg cafffa eeggggggggggggggfgg cffffc deb ggggggggggggggafg afffac be gggggggggggggggfffffac ee gggggggggggggggga eb ggggggggggggggggg ded ggggggggggggggggg ee ggggggggggggggggg eb ggggggggggggggggg ded be ee deb be ee eb ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#413ffcff b,#fd5557ff c,#8383ffff d,#fdb4b6ff e,#fd0809ff f,#0605feff g,#c5c5ffff ``` ```image g a fc ffg cffg afa ffc gffg cffg afa gffc gffg cff d afa de gffc bee cffg beeb aff deeed ffa deeed gffc beeb cffg deeed afa deeed ffa beeb gffc beeb cffdeeed affeb bffa deeeffg deeedcffg beeb afa deeed gffc deeed gffg beeb cff beeb afa deeed gffc beeb cffg beeb aff deeed afa eeed gffc eb cffg d aff ffa gffc cffg afa ff gf g ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3f3fffff b,#fc4a4cff c,#8f8fffff d,#ff9999ff e,#fe0606ff f,#0404ffff g,#ebd5e8ff ``` ```image d de ge eg ed eb be de ge e eg ed eb be de ge eg ed eb a bb cf be aa de fg ge f eg cf ed fc eb fg be gf de cf ge fc e f eg gf ed af eb fc be f de gf ge aa eg fc ed f eb cf be aa de fg ge f e cf eg fa ed fg eb gf be cf de fc ge fg eg gf ed af eb fc eb f ged gf be aa ee fcged feg ga ebf cafffc eb aa cfffac deg fc gafffag be f cafffc eb cf cfffac ged aa gcfffag be fg gafffcg ee f cafffc ged cf cfffac deg fafffag ee c eb deg be eb ded be ee ged beg ee eb ``` <!-- end of image -->
I'm on the case! Let's uncover any intersections hidden in this image. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#0505fbff b,#f90a09ff c,#b1d7b1ff d,#d76857ff e,#849ad0ff f,#9ec494ff g,#444be6ff ``` ```image ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc cccdccccccccccccccccccccccccccccccceeeeeccccccccccccccccccccccccccccccccccccccccccc cccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaagaccccccccccccccccccccccccccccccccccccccccccc ccceedbbfccccccccccccccccccccccccccccccggcccccccccccccccccccccccccccccccccccccccccc cccccccfbbdcccccccccccccccccccccccccccccacccccccccccccccccccccccccccccccccccccccccc ccccccccccbbdccccccccccccccccccccccccccceaccccccccccccccccccccccccccccccccccccccccc ccccccccccccdbbccccccccccccccccccccccccccaccccccccccccccccccccccccccccccccccccccccc ccccccccccccccdbbfccccccccccccccccccccccceacccccccccccccccccccccccccccccccccccccccc ccccccccccccccccfbbdccccccccccccccccccccccaeccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccbbdcccccccccccccccccccccaccccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccdbbcccccccccccccccccccagcccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccdbbfcccccccccccccccccacccccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccfbbdcccccccccccccccggccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccbbdccccccccccccccaccccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccdbbcccccccccccceacccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccdbbfccccccccccacccccccccccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccfbbdcccccccceaccccccccccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccbbdcccccccaecccccccccccccccccccccccccccccccccc 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ccccccccccccccccccccccccccccccccccccccccccccccccccbfccacccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccbfcggccccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccfbccaccccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccfbcgacccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccfbcacccccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccfbeaccccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccfbaecccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccfbacccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccdaeccccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccdaccccccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccagcccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabccccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgabcccccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccadbccccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccceadbcccccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacdbccccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccceacdbcccccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaecbbccccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaccbbcccccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccagccbbccccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacccbbcccccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccggcccbbccccccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaccccbbcccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccceaccccbbccccccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacccccbbcccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccceacccccbdccccccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaecccccbdcccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaccccccbdccccc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccagccccccbdcccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccacccccccbdccc ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccggcccccccbdcc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaccccccccbdc cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgaccccccccbd ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffafffffffffb ea a a ae a gg a eg a ea a a ae a gg a gg a ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0605fdff b,#fe0404ff c,#a5a3fdff d,#fc8588ff e,#4f4cfcff f,#fdcbccff g,#fc3c3eff ``` ```image fbgf cccccccccceeeeeeeeeeaaaaaaaaaaaaaaaa faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeae cccgbbf ea dbbg ac fdbbd ac dbbbf aa fbbgd ca fdbbd ee gbbg ae fbbgd aa dbbbf ac gbbg ca fdbbd aa dbbbf ea fbbgd ee fdbbd ac gbbf aa gbbg ca dbbdf ca gbbg aa fbbbd ea dgbg ee bb ac dbd aa bb ca dbd ca bb a dbd ee bb ac dbd aa bb ca gbf ca bb ae gbf ea bb ac gb ac bf aa bb ca gbf ee fbg ae bb aa fbg ac bb ca fbgaa fbga fbee fbae faa dae cad aad eabd eabd adbd aadbd ca dbf ca gbf ae gbf ea gbf ac gbf ac gbf aa gbf ca gbf ee gbf ae gb aa fbg ac bg ca fbg aa fbg ca bb ee fbg ae bb aa fbg ac bb ca dbd aa bb ea dbd ee bb a dbd ac b ``` <!-- end of image --> I've cracked the case! This area contains the intersection. After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0302feff b,#fd090bff c,#bfbffeff d,#fd6869ff e,#7676ffff f,#febcbdff g,#352ef7ff ``` ```image d ccccc gaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaggga ccdbbf eg fbbf a bbd ca dbb ac dbbf ca fbbf ac bbd a dbb ge dbbf a fbbf eg bbd a dbb ea dbbf a fbbf ca bbd ac bd a bd ge bd a bd gg bf a bf eg bf a bf ca bf ac bf a bf ae bf a b ge b a fb eg fb a fbca fbac fba fac fa gg ab egb adb cadb acdb ca db ac db a db ge bb a bb eg bb a bb ea bb a bd ca bd ac bd a bd ge bd a bd gg bd a bd eg bf a b ca ac a ae a ge a eg a ca ac ca ac a ge a eg a ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#0909feff b,#f8514eff c,#b7b7ffff d,#fd0707ff e,#acd4acff f,#6165f7ff g,#f89e9bff ``` ```image g gdd gdd c gdd ff gdd a gdd ca bdb ac bdb a bdb af bdb a bdb ca bdb ac bdb a bdb af ddg a ddg fa ddg ac ddg a ddg af ddg a ddg fa ddg ac gdg a d af bb a d fa d ac bd ca d af dg a gd fa d a bb ca d eeafeeeeeeeedeee eeeaeeeeeeebdeee eeefaeeeeeedeeee eeeeaeeeeedbeeee eeeeeaeeegdeeeee eeeeeafeedeeeeee eeeeeeaebbeeeeee eeeeeefadeeeeeee eeeeeeeaeeeeeeee eeeeeebdaeeeeeee eeeeeedeafeeeeee eeeeedbeeaeeeeee eeeegdeeefaeeeee eeeedeeeeeaeeeee eeebbeeeeeeaeeee eeedeeeeeeeafeee eedgeeeeeeeeaeee gd ff d a dg ca gd ac d a bb ff d a dg ca gd ac d a db ff d a d caf bb faaf d faaac dg caaac gd caaaf d faaf db faaac d caaac d caaaf bd faaf d faaac dg caaac gd caaaf d faaf bb f d d ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0908fdff b,#f6333cff c,#aba9fdff d,#fe0404ff e,#fec5c6ff f,#5555ffff g,#ff7e7eff ``` ```image faa bdb aac edde caa bdg faf gdd caac edde faa bdb aac gdde caa ddg faf gdb caac edde faa bdg aac gdd caa edde faf bdb caacgdde faaddg aabb caae baaf gdbaac eddefaf bdb aac edde caa ddg aaf gdb caac edde faf bdg aac gdd caa eddg aaf bdb caac edde faf ddg aac gdb caa edde aaf ``` <!-- end of image --> Amazing! This area was hiding an intersection all along! There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0404ffff b,#fd4648ff c,#8e8effff d,#ff0606ff e,#e8d3e9ff f,#4444feff g,#ff9292ff ``` ```image g gdd gdd c gdd ff gdd a gdb ca gdb ae bdb a bdb ff bdb a bdb ca bdb ae bdb ea bdg ff bdg a ddg ca ddg ae ddg ea ddg fc eddg a eddg ca edde ae gde ea d ac bb a ed ca de ae gd ea d ac dg a gd ca d ae bb ea ed ac de a gd cf d ae dg ea ed ac d a bb ffd ae gba d ac dg a ed ff d a bb ea d ac de a gd ff d a dg ca ed ac de a bb ff d a dg ca gd ac d a dg ff ed a de cac bb faaf d caafe dg caaac gd efaac d faaf db caafe ed caaac de efaac bb faaf d caafe dg caaac gd efaac d efaaf bb c ed de ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#0607fdff b,#fa0a0aff c,#97a1ecff d,#df6a5dff e,#484ff0ff f,#99c796ff g,#b1d7b1ff ``` ```image c ac a ac a a ca a ee a ee a fgggacggggggggggggggggggf gggggaggggggggggggggggggf gggggacgggggggggggggggggf gggggcagggggggggggggggggf ggggggagggggggggggggggggf bbgggggcaggggggggggggggggf bbgggggaggggggggggggggggf gfbdgggeegggggggggggggggf gggbbgggagggggggggggggggf ggggdbdgeeggggggggggggggf ggggggbbgaggggggggggggggf gggggggdbacgggggggggggggf gggggggggbagggggggggggggf ggggggggggabggggggggggggf ggggggggggcabdggggggggggf gggggggggggagbbgggggggggf gggggggggggcagdbdgggggggf c ggggggggggggagggbbggggggf ca ggggggggggggeegggdbfggggf a gggggggggggggagggggbbgggf ac gggggggggggggeegggggdbfgf fgggggggggggggggggggggaef ggggggggggggggaggggggfbdf gggggggggggggggggggggaegf ggggggggggggggacgggggggbb ggggggggggggggggggggeaggf gggggggggggggggaggggggggdbd gggggggggggggggggggeagggf gggggggggggggggafgggggggf bb ggggggggggggggggggcaggggf gggggggggggggggcagggggggf dbg ggggggggggggggggggagggggf ffffffffffffffffafffffffg bb gggggggggggggggggafgggggf ca db ggggggggggggggggacggggggf a bd gggggggggggggggaegggggggf ee bb ggggggggggggggaaggggggggf a gbbbbbbbddg gggggggggggggeagggggggggf ec dddbbbbbbbbdddfggggggggcaggggggggggf a gddbbbbbbbbbdadfgggggggggf ac ggggggggggfadbbbbbbbbbbdd a ggggggggggacgggggggggfddbb a gggggggggaegggggggggggggf ca ggggggggaaggggggggggggggf a gggggggeagggggggggggggggf ca ggggggcaggggggggggggggggf a gggggfagggggggggggggggggf ee gggggaggggggggggggggggggf a ggggacggggggggggggggggggf ec gggaegggggggggggggggggggf a ggaeggggggggggggggggggggf ac geagggggggggggggggggggggf a eaggggggggggggggggggggggf a cafffffffffffffffffffffffg ca a a ac ca ac a ae ee ea a ca ec ca a a ac a a ac a ae ca ea a ca ca ca a a ee a a ac ec ae a ea aea a ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0808feff b,#fe0809ff c,#6262feff d,#fe5253ff e,#65039bff f,#b4b2fdff g,#ffa8a8ff ``` ```image faa aaf caa aaf cac aaf cac faa cac faa dg aac bbd faa gbbbg aaf dbbd caa gbbbg aaf gbbbd cac dbbbg aaf gbbbg cac dbbd faa gbbbg cac dbbd faa gbbbg aac gbbbdfaa dbbbaaf gbbeaa dbaaf geaeg faabd caebbg faadbbd cacdbbbg faa gbbbd aaf dbbd faa gbbbg aaf dbbd caa gbbbg aaf dbbd cac gbbbg aaf gbbbd cac dbbbg faa gbbbg cac dbbd faa gbbbg aaf dbbd faa gbbb aaf gbb caa d aaf cac aaf cac faa ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area A! Hmm, interesting. Let's check out another area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#0604fdff b,#fe0808ff c,#8989ffff d,#fd6567ff e,#4140fdff f,#c6c6ffff g,#feb8b8ff ``` ```image caaf caac faac faae eae eaa eaaf caaf caac faac faae aae eae eaaf caaf caac faac faae aae eae eaaf caaf caaf bddddggg faac bbbbbbbbbbbbddddggg faac ggddddbbbbbbbbbbbbbbbbbdaaeggg gggddddbbbbbbaaabbbbbbbbddddggg geaadddbbbbbbbbbbbbbbbbbdddd eaaf gggddddbbbbbbbbbb caaf gggddd faac faac faae eae eaa eaaf caaf caac faac faae eae eaa eaaf caaf caac faac faae aae eae eaaf caaf caac ``` <!-- end of image --> Wow! I can see an intersection so clearly in area B! After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0708ff c,#8989ffff d,#fc5a5cff e,#4242ffff f,#c7c7ffff g,#feb5b6ff ``` ```image f ac a af fa a ca a ce a ec a ac a af fa a bd ca db a gbd ce bb a gbg ec bb a dbac ba ab fabd a bb ca gbg f a bb fa ce dbg a a bb af ec db ac a bd ae ac bb ea a gbd ca af bb fa fa gbg a a bb af ca dbg ac a bd ae ce bb ee a gbbbbbbbddgg ca ec ggddbbbbbbbbddgg fa a ggddbbbbbbbbdagg af gaddbbbbbbbbddgg a af ggddb af ac fa ee a ea ca ca a fa ee a a af ec ac a ae af ea a ca af fa fa a a af ce ac a ae ee ea a ca ec fa a a af af a ac af ae fa ea a ca ce fa a a ee af a ac ec ae a ee aea fa ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0807ff b,#4b50f4ff c,#fbaaa8ff d,#9a9ef5ff e,#0708feff f,#f35652ff g,#add4adff ``` ```image c aa af fa aa af fa aa cac fa aa cac fa af cac aa af fac aa af fa aa cac e fa de aa de cac be fa be af eb cac ed aa ed af e cac e aa de af de ca be a be a eb af ed gggggggggggggggfa edggggggggggggggga eggggggggggggggag eggggggggggggafg deggggggggggfagg gbeggggggggcaggg ggbegggggggagggg gggeegggggacgggg e ggggebgggafggggg deed gggggebgfagggggg bee ggggggedaggggggg deed gggggggegggggggg bee ggggggafeggggggg eeb gggggfagdegggggg deed gggggagggbeggggg bee ggggagggggbegggg deed gggafggggggeeggg bee ggfaggggggggebgg eeb ggaggggggggggebg deed gagggggggggggged beb afggggggggggggge deed faggggggggggggggge bee caggggggggggggggggde eeb a gggggggggggggggg de deed ac be beb af eeed ca a ac af fa a a ac fa ca a ac ff ca a ac ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#fe090aff b,#403ffdff c,#feb2b2ff d,#bbbafeff e,#0504fdff f,#fd5657ff g,#7d7dffff ``` ```image c ca d aa e faa eb caac eeb caac deeb aaf deeg faa deeg faac geed caac geed aaf beed faf bee faa beb caac eeb aaf deeb aaf deeg faa deeg caac geed caac geedaaf beeaa beec caeeb aafeeb faa deeb faac deeg caac deeg aaf geed faf geed faa beed caac bee caaf beb aaf eeb faa deeb caac deeg caac deeg aaf geed faa gee caac be caac b aaf aa a c ``` <!-- end of image --> Area A contains an intersection. The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0606ff b,#4242ffff c,#ff8b8bff d,#a2a2feff e,#0404ffff f,#fd4647ff g,#fdc8caff ``` ```image c aa af cag aa gac fa aa gac fa af gac fa af cag aa af cag aa gac fag aa gac e fa de af de gac be fa bb af eb cag ed aa ed af e cag e aa de af de ca be a bb ag eb ac ed fa ed ga e a e ac de fa de ga be a bb ag e eb ff deed ed ca beb eda deed eg beed afe eeb ca de deed ga de beb ag be deed ac bb bee fa eb eeb ga ed deed a ed beb ac e deed ff e bee ga de eeb a de deed ag be beb af beed ca a ag af ca ga a ac fa ga a ac ff ca a ag ``` <!-- end of image -->
I have an image in front of me. I need to determine if there are any intersection segments. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#0909feff b,#fe0606ff c,#6267f5ff d,#f7a09cff e,#add5aeff f,#f54c48ff g,#babaffff ``` ```image g ag a ag ga a ga a cc a cc a ag a ag ga a ga a cc f a bb cc bf a bf ag bd a bd ag b ga db a db ga fb a fb cc bb a bf cc bf a bd ag bd a bd ag db ga db a db ga fb a fb cc bb a bf cc bf a bd ag bd a b ag db eeeaeeeeeeeeeeeeee db eeeaeeeeeeeeeeeeee fb eeecaeeeeeeeeeeeee fb eeeeaeeeeeeeeeeeee bb eeeecceeeeeeeeeeee bf eeeeeaeeeeeeeeeeee bf ca eeeeeaceeeeeeeeeee bd gaa eeeeeeaeeeeeeeeeee bd aa eeeeeeaceeeeeeeeee b cag eeeeeeeaeeeeeeeeeedb gaa eeeeeeeaeeeeeeeeefb aa eeeeeeeeaeedffbbbb cac eeedfbbbabbbfdeeee gaa ddfbbbbbbffdeecaeeeeeeee aa ddfbbbbbbfd eeeeeeeeeaeeeeeeee cac bbbbbffd eeeeeeeeecceeeeeee gaa eeeeeeeeeeaeeeeeee aag eeeeeeeeeeaceeeeee cac eeeeeeeeeeeaeeeeee aa eeeeeeeeeeeaceeeee aag eeeeeeeeeeeeaeeeee cac eeeeeeeeeeeeaeeeee aa eeeeeeeeeeeeeaeeee aag eeeeeeeeeeeeeaeeee cac eeeeeeeeeeeeecaeee aa a aag cc gac a aa ac aag a gac agaa ag ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0403feff b,#fd0507ff c,#7e7cfdff d,#feaaabff e,#3c38faff f,#fe5758ff g,#c2c2ffff ``` ```image gaa eac gaa eac cae aag cae aag cae gaag eac gaa eac gaa eac cae aag cae aag cae gaag eac dddf gaa ddfffbbbbbbb ddeaefbbbbbbbbbbbbfff dddffbbbbbbaabbbbbffddd dfffbbbbbbbbbbbbffaacd bbbbbbbbfffdd cae ffddd aag cae aag cae gaag eac gaa eac gaa aac cae aag cae aag cae gaag eac gaa eac gaa aac ``` <!-- end of image --> I observe an intersection inside area A. There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0606ffff b,#fe0505ff c,#8888ffff d,#ffacacff e,#4444ffff f,#ff5050ff g,#cfcfffff ``` ```image g ac a ag ga a ca a ce a ec a ac a ag ga a ca a ce f a bb ec bf a bf ac bd a bd ag bd ga db a db ca fb a fb ce bb a bf ec bf a bf ac bd a bd ag db ga db a fb ca fb a fb ce bb a bf ec bf a bd ac bd a db ag db ga db a fb ca fb a bb ee bf a bf ea ec bd gae a bd aa ag bd eac ga db gae ag db aag ga ddfbbbb cac dffbbabbbfd gae ddfbbbbbbffd ca aag dffbbbbbbfdd a cac bbbbbffd ee gaa a aag ec cac a gaa ag aag ga cac ag gaa ga eag a cac ce aa a eag ee cae a aa ec eag a cae acaa gag ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#5358edff b,#fe0c0bff c,#a9a9ffff d,#b1d6b0ff e,#0808fdff f,#98c39aff g,#ed6c63ff ``` ```image c ec e ec ce e ce e aa e aa e ec e ec g ce bbg e bg b ce bg b e bg gb aa bg bg e bg bd aa bg b fedddddddddddddf bb db deaddddddddddddf bb gb ddeddddddddddddf bb bg ddefdddddddddddfgb b ddfedddddddddddgb b dddeddddddddddgb gb e dddaeddddddddgbf bb ae ddddedddddddgbdf bg ce ddddaadddddgbddf b e dddddeddddgbdddf b e dddddaaddfbddddf gb ec ddddddedfbdddddf bg ea ddddddeabddddddf bd fffffffffffffffd ae ddddddfedddddddf b dddddddddddddddf ce ddddddbefddddddf b dddddddddddddddf e dddddbffeddddddf gbdddddddddddddddfe ddddbfddeddddddf bgddddddddddddddec dddbgdddaedddddf bfddddddddddddea ddbgdddddedddddf fbdddddddddddaef dbgddddddaaddddf dgbdddddddddaedf bgddddddddeddddf ddbbdddddddfeddf bgdddddddddeadddf dddbgddddddedddf bgdddddddddddedddf ddddbfddddefdddf bg dddddddddddeaddf dddddbdddeaddddf bb ddddddddddddeddf dddddgbdeedddddf bb ddddddddddddefdf ddddddbaeddddddf bb ddddddddddddfedf ddddddfegddddddf gb fffffffffffffefd ddddddedbddddddf gb ce dddddefdfbdddddf gb e ddddeadddgbddddf g aa dddeedddddbgdddf e ddaedddddddbfddf ac dfedddddddddbddf e feddddddddddgbdf ec efdddddddddddgbf e eadddddddddddddbg e eadddddddddddddddb ce ae dddddddddddddddfb e ce dddddddddddddddfgb ce e fddddddddddddddf bb e e bg aa ec b e ea b ac ae gb e ce bg ec ce bd e e b e ec db ce ea g e ae ce ae e ce aa e e ec ec ec e ea eae e ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#3c36f9ff b,#fe0505ff c,#7f7efeff d,#ffa9a9ff e,#0404feff f,#c3c2feff g,#fc5a5dff ``` ```image fee aec cee eef cea eef cea feef aec fee aec fee g aec gb cee gbb eef dbbd cea dbbd eef dbbg cea dbbg feef dbbg aec dbbg fee dbbg aec dbbg fee dbbg aec dbbg cee bbg eecbbb ceabb feeg baea gbbeef gbbdaec gbbd fee gbbd aec gbbd fee gbbd aec gbbd cea gbbd eef gbbd cea dbbd eef dbbd cea dbbg feef dbbg aec dbbg fee bbg aec bg fee g aec cea eef cea eef cea feef aec fee aec ``` <!-- end of image --> My investigation has led me to an intersection in area A! Okay, let's proceed to the next area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#4f46f5ff b,#fe0606ff c,#a5a5ffff d,#ff9595ff e,#0707feff f,#efd8e7ff g,#fb4548ff ``` ```image f g bg c bbd ce dbbf fee gbbf eea gbg aeef fbbd aeef dbbd ceec dbbf ceec gbb feea fbbg feea fbbd aee dbbd aeef gbbf ceec gbg ceec fbbg feea fbbd feea dbbf aea gbbfaeef gbaeec fgeec ceead feeabbf aea gbb aeef bbg aeef fbbd ceec dbbd ceec gbbf feea gbg eea fbbg aeef fbbd aeef dbbf ceec gbbf ceec gbg feea fbbg feea dbbd aee dbbf aeef gbbf eec bbg ec fbb a db d ``` <!-- end of image --> As I suspected, there's an intersection within area B. I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3f3dfcff b,#ff0a0aff c,#8484feff d,#ffafafff e,#0505feff f,#c8c7feff g,#ff5a5aff ``` ```image f ec e ef fe e ce e ca e ac e ec e ef g fe bbd e bd b ce bd db e bg gb ca bg bg e bg bd ac bg b e bb db ec bb gb e gb bg ef gb bd fe gb b e gb db a ce gb gb ce e db bd fe ca db b e e db b ef ac db gb ec e db bg ea ecb bd ae fe b ce bef db fe bdfe gb e bd e bg ef bd ce bd ea bd e b ae bd ca db ce bg e gb fe bg ac bg e bg e b ef bg ef b ec bb e db aa bb ef bae gb fe fed gb e e b gb ca ef db gb e ec gb g ca aa bg e ce bd ac fe b e e db ef ef gb e ec bg ef ea bd fe ae b e ce db ca fe gb e e bd ca ef b e ea b ac ae gb e ce bg ef fe bd e e b ef ef db fe ec d e aa ca ce e fe aa e e ef ac ec e aa eae fe ``` <!-- end of image -->
This image seems promising for intersection detection. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0c0cfbff c,#f99492ff d,#6b73eeff e,#f34d47ff f,#eccddfff g,#acd4adff ``` ```image c a ac fa af ca a ce a af ee fa a ac ac a fa ac fbbbd af a bbf bbb fa ac fbd dbbd a a bb bbb ca ac fbd dbbf ggggggggggggaggg a bb fbbd gggggggggggeeggg ac fbd dbbf gggggggggggagggg a bb fbbd ggggggggggaegggg gggaeggggggggggg dbd dbbggggggggggaggggg ggggaggggggggggg bb fbbdggggggacggggg ggggaeggggggggggdbd ggbbbgggcagggggg gggggagggggggggbb ggggdbbdaggggggg gggggaeggggggdbd gggggggbbbgggggg ggggggagggggbbgg gggggggagdbbdggg ggggggaeggdbdggg ggggggeeggggbbbg gggggggagbbggggg ggggggagggggggdbbf gggggggbbggggggg gggggaegggggggggfbbd ggggggbbaggggggg gggggagggggggggg dbb ggggbbggeegggggg ggggacgggggggggg f gggbbggggagggggg ggggaggggggggggg gbbggggggeeggggg gggagggggggggggg fbdggggggggaggggg ca bbggggggggggeegggg a bd gggggggggggagggg ee gggggggggggeeggg a ggggggggggggaggg ee ee a a ac ee fa a af ee ca a a ee ce a a ce ee a a ce ac a fa ce af a fa ca a a ca ca a a ee ca a a ac ca a a af ca fa a af ca ca a a ca ee a a fa ac af a fa ac af fa fa af af ca fa a af ee fa a af ee fa a aac fa ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0a09fdff c,#ff7e7eff d,#5f5ffeff e,#ef3241ff f,#ffc4c4ff g,#b5b5ffff ``` ```image caa aac caa aac caa eac caa g eac db faa gbbb eac dbbbg faa gbbbd eac dbbbg faa gbbbd eac dbbbg faa gbbbd eac dbbbg faebbbd bbbbg gbbbe dbbdeac gbbbg faa gdbbd eac dbbbg faa gbbbd eac dbbbg faaf gbbbd eac dbbbg faaf bbd eac bg faaf eac faaf eac faaf eae faaf ``` <!-- end of image --> The lines cross each other within area A, forming an intersection. 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,#fe0405ff b,#0505feff c,#fa7479ff d,#4b42f5ff e,#ff3f3fff f,#fec1c2ff g,#9c9cffff ``` ```image aaf cae faaf eae faaf eac faa aac caa aaf bdg cae bbbbg faaf gbbbbdg eae gdbbbbg faaf gbbbbdg eac gdbbbbgfaa dbbbbdc gdbbbdg aadbbbbdg cae gdbbbdg faaf gdbbbbd eae gbbbbdg faaf gdbbbb eac gbb faa g eac caa aac cae aaf cae faaf eae faaf ``` <!-- end of image --> There is an intersection point visible in this close-up of area B. There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0908fdff c,#ff8484ff d,#5e5efeff e,#ff4141ff f,#ffc4c4ff g,#b7b7ffff ``` ```image c a ac fa af fa a ce a af ee a a af ac a a af bbbd af a dbg dbb fa af gbd gbbg a a bb bbd ca ac gbd dbbg a a bb bbd ee ac gbd dbbg a a bb gbbd ac ac gbd dbbg a a bb gbbd af ac dbg dbb fa a bb gbbda ec dbg bbb a bb a gbbg ec dbg ee bbd a bb a dbbg bbg ec bbd bda a dbb dbg ec af g gbd a fa bb ec af gbd a ca bb ee a bd a ce ee a a ec ee a a ac ee fa a af ce fa a a ce ce a a ce ee a a ce ac a a ce af a fa ce a a ca ca a a ee ca a a ac ca a a af ca fa a a fa ca a a fa ee a a fa ec a a fa af af fa fa af af ca fa a af ce fa a af ec fa a aac fa ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#4547f6ff c,#fba6a4ff d,#0505feff e,#979bf5ff f,#add4adff g,#f25751ff ``` ```image c a ac a a ca a ga a gg a ac a ac ca bd a bddebd ca eddb bb a ddd db gg bdde db a edde de ac eddb de a bdd d ac bdde d ca eddb d a eddb ed ffffffffffffffga bdde ed ffffffffffffffaf edde ed fffffffffffffggf ddb bd fffffffffffffaff bd ffffffffffffagff dbffffffffffffafff dbffffffffffacfff dbfffffffffaffff fdefffffffafffff ffdffffffgafffff fffdfffffaffffff ffffdfffgaffffff ffffedffafffffff fffffedagfffffff ffffffbdffffffff ffffffabdfffffff ffffffafbdffffff fffffafffdbfffff ffffcaffffdbffff ffffaffffffdbfff fffgafffffffdeff fffafffffffffdef ffggffffffffffdf ffaffffffffffffd fagfffffffffffffd faffffffffffffffed afffffffffffffff ed cafffffffffffffff bd affffffffffffffff bd caffffffffffffffff db a db gg de a de ac de a d ac d c ca d gag a ed gag ca e gag a gaa gg caa a caa ag caa a caa ac caa ca caa a caa ca caac a aac gg aac a aac gg aac a aacac aa ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0303ff b,#514cf9ff c,#fc7a7dff d,#0606feff e,#ababfeff f,#ffc9c9ff g,#fb3a3dff ``` ```image c a ca faa gag faaf gac faaf gac caa b aac db cag ddb faaf eddb cag edde faaf edde gag bdde faaf bdde gac bdde caa bdd aac bdd cag ddb aaf ddb cag eddb faaf eddb gag eddb faaf eddegac eddga bddc cbdde aabdde cag bdd faaf bdd gag ddd faaf ddb gac eddb faa eddb gac eddb caa edde aac edde cag edde faaf bdde gag bdde faaf bdd gac bd faaf d gac caa aac cag faaf cag faaf gag faaf gac aa ``` <!-- end of image --> Aha! I've found an intersection inside area A! My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0505ff b,#5352fdff c,#ff8585ff d,#0707feff e,#aeaeffff f,#ffc7c7ff g,#ff4040ff ``` ```image c a ac fa af fa a cg a gg a ac fa af fa bd a bddebd ca eddb dd a eddd db gg bdde db a bddb de ac eddb de a ddde de af bdde d fa eddb d a eddb ed ca bdde ed a bdde bd gg ddb bd a bd gc db a db af de fa de af de ca d a d cg ed a edgc bd abd fa bd af db fa db a de cg de a de gg d a d ac ed fa ed af ed fa bd a bd ca db a db gg db a de ac de a d af d c fa ed gag a ed cag ca e cag a cag gg caa a caa gc caa a caa af faa fa faaf af faaf ca faaf a faaf cg faaf a aaf gc aac a aacac aa ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#9498f5ff b,#fe0706ff c,#4043f6ff d,#f5a4a1ff e,#0606feff f,#f94b48ff g,#add4adff ``` ```image a cee aeea cee aeea cee aeea cec aeea cec aeea eec aeea eec aeea ee ea ee ce aea ec ce aea ec ee ae ec ee ae ea ee ce aea ec ggggggggggggggggb ce gggggggggggggggbf aeagggggggggggggbd ecggggggggggdbgg geeggggggggfbggg ggaeggggggbbgggg ggggecgggbbggggg gggggeegbfgggggg ggggggcedggggggg gggggdbgecgggggg ggggfbgggeeggggg gggbbgggggcegggg ggbfgggggggaeagg gbfggggggggggeeg dbdggggggggggggce dbgggggggggggggggae fb gggggggggggggggg bb gggggggggggggggg bf bd bd db fb bb bf bd dbd db fb bb bf bd dbd db fb bb bf fbd fbbbf dfbbbd dfbbbd dfbbbd dfbbbd dbbbfd dbbbfd dbbbfd bbfd ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#acacffff b,#fe0606ff c,#4d48faff d,#ff8686ff e,#0807fdff f,#fb3f42ff g,#fbc8cbff ``` ```image c f eea gfb ceea gbbb ceec gbbfg aeeea dbbf aeeea dbbd ceec fbbd aeeea gfbbg aeeea gbbbg ceec gbbfg aeec dbbf aeeea fbbd ceecbbd ceeeg gbfeeea dbbfgceea dbbf ceec fbbd aeeea fbbd aeeea gfbbg ceec gbbbg aeeea dbbf aeeea dbbf ceec fbbd aeec fbbd aee gbbbg c bbbg bf f ``` <!-- end of image --> Incredible, there's actually an intersection in area A! After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9292feff b,#ff0606ff c,#3939ffff d,#fd9596ff e,#0303ffff f,#ff4545ff g,#e9cee4ff ``` ```image a ceeg aeea ceeg aeea cec aeea cec aeea cec aeea cec aeea geec aeea gee gea ec ce gea ec ce aeg ec ce aeg ea ee ae gea ec ce gea ec b ce bf aeg gbd ec dbg ce fb aeg fb ec bf ee bd aed dbgea fb ee bb ce bf gea bd ec gbg ce db ae fb bb bf bd gbg db fb bb bf bd gbg db fb bb bf bd gbg db fb bb bf gfbd gfbbbd gfbbbd gfbbbd dfbbbd dfbbbd dfbbfd dbbbfd dbbbfg bbfg ``` <!-- end of image -->
I'm approaching this image with caution. Intersections might be tricky to spot. After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4848ffff b,#ff0707ff c,#ff5656ff d,#0404ffff e,#9696ffff f,#ffa4a4ff g,#e8d6edff ``` ```image g fcbbbbb gcbbbbf fbc fbbbbcg cbf fcbbbcf bb gcbbbbf fbc fbbbbcg cbf fcbbbcf bbg bbbbf gbb g cbc bbg gbb fbc cbf bb fbc cbf bbg gbb cbc bbg gbb fbc cbf bb fbc cb ggeeeaaadddd ggeeeaaddddddddddddddaaaeeeg eaddddddddddddddaaeeegg eadddaegg gadddae eddddeg eadddag gadddae eddddeg eadddag ddae ``` <!-- end of image -->
I'm on the case! Let's uncover any intersections hidden in this image. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0303ff b,#0f10fdff c,#7c80f8ff d,#fccfd1ff e,#ff6c6cff f,#b1d7b1ff g,#a0c296ff ``` ```image gggggggggggggf fffffffffffffg fffffffffffffg fffcgffffffffg fffbbbbbbbbbcc ffffffffffgccbbbbbbbbccc fffffffffffffg dccbbbbbbbbccd fffffffffffffg dccbbbbbbb fffffffffffffg cbb fffffffffffffg cbb fffffffffffffg cbb fffagffffffffg cbb fffgaffffffffg cbb ffffagfffffffg cbb ffffgafffffffg cbb fffffagffffffg cbb fffffgaffffffg cbb ffffffagfffffg cbb ffffffgafffffg cbb fffffffagffffg cbb fffffffgaffffg cbb ffffffffagfffg cbb ffffffffgafffg cbb fffffffffagffg cbb fffffffffgaffg cbb ffffffffffagfg cbb ffffffffffgafg cbb fffffffffffagg cbb fffffffffffgag cbb ggggggggggggag cb da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da daa ad eaad da aaa ad daae da eaad ad daae da eaad ad eaa da daae ad eaad da aae ad daae da eaa ad daae da eaad ad aae da daae adeaad dae ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0000ff b,#0202ffff c,#8b8bffff d,#ffd2d2ff e,#ff5454ff f,#3e3effff g,#ceceffff ``` ```image cgg gbbbbbfffcccgg gffbbbbbbbbbbbbbfffc ggcccfffbbbbbbb ggccc dee daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daad eae daa ea ``` <!-- end of image --> 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
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0202ff b,#0303ffff c,#8989ffff d,#fdd1d3ff e,#ff4b4bff f,#3333ffff g,#ff9090ff ``` ```image c fbbbbbbbfcc ccfbbbbbbbfcc dccfbbbbbbffcc dcffbbbbbb cbb cbb cbb ad cbb da cbb ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cbf da cbf ad cb da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da ad da daa ad gaad da eae ad daag da eaad ad daae da gaag ad eaa da daag ad gaad da aae ad gaag da eaad ad daae da gaad ad eae da gaag adeaad dae ``` <!-- end of image -->
This is the image I'm working with. The goal is to count the intersections. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff7878ff b,#0707ffff c,#ff0303ff d,#adadffff e,#ffc2c2ff f,#5454ffff g,#ff3333ff ``` ```image d ff bd b db bf b b fb bd b db ff bd b db bf b b fb bd b db fb bd b db bf bd b fb bf b db fb bd b db ff bd b dbb db dfbbbfd bf fbbbbd b dbbbbf b dfbbbfd fb dfbbbbd bd dbbbbf b dfbbbfd db dfbbbfd g fbbbbf ece d ca cg gc ac ece ca cg gc ac ece cc ca ecce cg acce gc gcg ac cca ece ecce ca acc cg gcg gc ecca ac ecce ece acc ca gcg cg ecca gc acce ac acg ece gca ca ecca cg acce gc gcg aca ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#cb977fff b,#0809faff c,#fc0605ff d,#b1d7b1ff e,#96c897ff f,#6577d3ff g,#dd4a44ff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ddddddddddddddddddddddddddddddddddcacddddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddacdcadddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddceddcdddddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddddcdddgcddddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddcaddddcadddddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddddcddddddcdddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddggddddddgcddddddddddddddddddddddddddddde dddddddddddddddddddddddddddddddcddddddddcadddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddggdddddddddcdddddddddddddddddddddddddddde ddddddddddddddddddddddddddddddcddddddddddggddddddddddddddddddddddddddde dddddddddddddddddddddddddddddacdddfbedddddcddddddddddddddddddddddddddde dddddddddddddddddddddddddddddcddddbdbbddddacdddddddddddddddddddddddddde ddddddddddddddddddddddddddddacdddbfddbbddddcgddddddddddddddddddddddddde ddddddddddddddddddddddddddddcaddfbddddebfdddcddddddddddddddddddddddddde ddddddddddddddddddddddddddddcdddbdddddddbbddacdddddddddddddddddddddddde dddddddddddddddddddddddddddcaddbfddddddddfbfdcgddddddddddddddddddddddde dddddddddddddddddddddddddddcddfbdddddddddddbbdcddddddddddddddddddddddde ddddddddddddddddddddddddddggddbdddddddddddddfbacdddddddddddddddddddddde ddddddddddddddddddddddddddcddbfdddddddddddddddbbaddddddddddddddddddddde dddddddddddddddddddddddddggdfbdddddddddddddddddbbddddddddddddddddddddde dddddddddddddddddddddddddcddbdddddddddddddddddddgbfddddddddddddddddddde ddddddddddddddddddddddddacdbfddddddddddddddddddddcbbdddddddddddddddddde ddddddddddddddddddddddddcdfbddddddddddddddddddddddcfbfdddddddddddddddde dddddddddddddddddddddddacdbdddddddddddddddddddddddggdbbddddddddddddddde dddddddddddddddddddddddcabfddddddddddddddddddddddddcedbbdddddddddddddde dddddddddddddddddddddddcfbddddddddddddddddddddddddddcddebfdddddddddddde ddddddddddddddddddddddcabdddddddddddddddddddddddddddggdddbbddddddddddde ddddddddddddddddddddddcbfddddddddddddddddddddddddddddcddddfbfddddddddde dddddddddddddddddddddgfbdddddddddddddddddddddddddddddacdddddbbdddddddde dddddddddddddddddddddcbdddddddddddddddddddddddddddddddcgdddddfbedddddde ddddddddddddddddddddgbfddddddddddddddddddddddddddddddddcdddddddbbddddde ddddddddddddddddddddgbdddddddddddddddddddddddddddddddddacdddddddbbdddde dddddddddddddddddddabdddddddddddddddddddddddddddddddddddcadddddddebfdde dddddddddddddddddddbfddddddddddddddddddddddddddddddddddddcdddddddddbbde ddddddddddddddddddfbdddddddddddddddddddddddddddddddddddddgcdddddddddfbf ddddddddddddddddddbaddddddddddddddddddddddddddddddddddddddcaddddddddddbb dddddddddddddddddbgddddddddddddddddddddddddddddddddddddddddcddddddddddefb ddddddddddddddddfbaddddddddddddddddddddddddddddddddddddddddgcddddddddde bf ddddddddddddddddbcddddddddddddddddddddddddddddddddddddddddddcadddddddde bb dddddddddddddddbggdddddddddddddddddddddddddddddddddddddddddddcdddddddde dbf ddddddddddddddfbcddddddddddddddddddddddddddddddddddddddddddddggddddddde bb ddddddddddddddbggdddddddddddddddddddddddddddddddddddddddddddddcddddddde f dddddddddddddbfcddddddddddddddddddddddddddddddddddddddddddddddacdddddde ddddddddddddfbacdddddddddddddddddddddddddddddddddddddddddddddddcgddddde ddddddddddddbdcdddddddddddddddddddddddddddddddddddddddddddddddddcddddde dddddddddddbfacdddddddddddddddddddddddddddddddddddddddddddddddddacdddde ddddddddddfbdcaddddddddddddddddddddddddddddddddddddddddddddddddddcgddde ddddddddddbddcddddddddddddddddddddddddddddddddddddddddddddddddddddcddde dddddddddbfdcaddddddddddddddddddddddddddddddddddddddddddddddddddddacdde ddddddddfbddcddddddddddddddddddddddddddddddddddddddddddddddddddddddcade ddddddddbddggdddddddddddddddddddddddddddddddddddddddddddddddddddddddcde dddddddbfddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddgce ddddddfbddggdddddddddddddddddddddddddddddddddddddddddddddddddddddddddca ddddddbdddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddc dddddbfddacdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgc ddddfbdddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddec ddddbdddacdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c dddbfdddcadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde gg ddfbddddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c ddbddddcaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c dbfddddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cg fbddddggdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c bdddddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ac bfddddggddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ca dddddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c ddddacdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ac ddddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde c dddacddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddcaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddcadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ddcddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dggddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde dcdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ggdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde cddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde acddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ceddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddde ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe8687ff b,#0705fdff c,#fe0404ff d,#a5a5feff e,#fec8c9ff f,#4b45f8ff g,#fa3e42ff ``` ```image cce ccc acace ga gg gc cc cc gc ce ac ag cg ce cce cc cc cc ece ec ca ga cc ece gc cc ace acg cg cg bbb acc ca bbbd gc ec fb fbf ece ec bb fbf ca gc bb bbb cc cg bf fbf ca ce fb bbd ece ag bb fbf cg ac ff fbf acc gc dbd dbb gc gca fbf fbface cc bbd bbbcg ca bd fbfc ag dbd fbf ce bb fbbd cc dbd gfbf cc bd ecgbb ca fb gcfbf ga bbd ecebbb ec bf cg fbfd ecc bd ace fbf acgfb gg dbbd ccebb eca fbb caff gcg dbb acdb ecc fbf ecfbf gg fbf gcbb ece dbbd ccbd cc fbb egb ece dbb abb gg fbf agb cce fbb gbd gcg dbbd abb ecc dbb bbd gg dbbd bf eca fbb bf gc b fbe ece d bb ac fbg cc dbca ac fbfa ece bbc cg ffcc acc dbgcg gc bbcce eca dbece cg bdag cc dbbac gg bbdgc ece bf cc cc dbd ece ecc fb gg gc dbd ac ece ff cc cg db acg cc bf cc gg db ca eca fb ga gcg dbb ece ecc bbd gc ac fb cg ec dbd ce c bb ca e dbd ac bf gc dbb ca bbf ece dbd ece bf ac fb cc bf cca fb cc bb ec fbb ga bbd ece fb cc bd cg ag ca ac ecc gca cg ce ag ac cc ca ec ga gc cc cce cg ca ga ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area A! There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fc8183ff b,#0a09fdff c,#fe0505ff d,#b2b2ffff e,#fec3c3ff f,#7975fbff g,#f63a43ff ``` ```image e ac cac ec ca ce c c ac ce ce c c ga gg c ce ag c c gg ag dbd c c b bb ec ec bf bb ga ce db dbf c c b bb ec ce bf dbd ca c db bb c ga b fbac c bf bbe ag db bb c b abf ac bf cbb c db cfbd ec b gg bb cebf ce fb cdb ec bf ceb gg bb cbf c dbd gfb ec bb cb ca fbd abf c bb gb ec bb ab ca dbf bf c bb fb ac dbd be ce bb bg c fbd fbe ag bf bc ce bb bga c dbf fbc gg bb bag ce f bdc ec fbac gg b c c bdec ec fb ce ca b c c bd ca ac fb c ca b ga c bd c ac fb ag ce b c c bd ac gg fb c ce b ec c bd ce gg fb c c b ca ec bd c ga fb ga c b c ec bd ag ca c c ec ac c c ec ce c ca c ga c ag c ec c ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#0a0afcff b,#fd0606ff c,#b7b7ffff d,#ea958bff e,#6269eeff f,#add4adff g,#f24641ff ``` ```image e a ac ca ac ca a ea a ee a ac a ac ca a ea a ee a ae b a bgb ac bd db ca gg b a db bd ca b bd a b bg ee bd bb a gg gb ae db db fffffffffffffaff b db ffffffffffffaeff b b ffffffffffffafff bd bdffffffffffaffff c gg bgffffffffeaffff ae db fbgfffffffafffff ac b ffbbfffffeafffff a b fffgbffffaffffff ca bd ffffgbffaeffffff ea bg fffffdbfafffffff aaffffffffffffffgb fffffffaefffffff aefffffffffffffb fffffffabdffffff faffffffffffffbf ffffffaffbgfffff ffaffffffffffbdf fffffeafffbbffff ffeaffffffffbgff fffffafffffbbfff fffaaffffffgbfff ffffeaffffffgbff ffffaeffffdbffff ffffaffffffffdbf fffffaffffbfffff fffaefffffffffdb ffffffaffbdfffff fffaffffffffffffbd ffffffeabgffffff ffaeffffffffffff bd fffffffaafffffff ffafffffffffffff bg ffffffdbaeffffff faffffffffffffff bb ffffffbffaffffff ca gb fffffbdfffafffff a gb ffffbgffffeaffff ea db fffgbffffffaafff a b ffdbffffffffaeff ee bd ffbffffffffffaff a bd fbdfffffffffffaf ae bg bgffffffffffffea a bb gbffffffffffffffaa ac g dbffffffffffffffffae ca b ac a bd a ca bg ca a gb ea ee d ae a ac ae a a ca ac ea ca ae a ac ca a a ca ea ea a ae ae ac a aac ca ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0604fdff b,#fe0506ff c,#a4a4feff d,#fb7e81ff e,#4949ffff f,#fec3c3ff g,#ff3d3dff ``` ```image e d ae fb aac fbb caac bbg eaa gbb eae dbbf aae fbbf caac fbbd caac bbg eaa gbg eae dbbf aae fbbf caac fbbd caac bbg eaa gbg eae dbbf aae dbbf caac fbbd caacbbg eaabg aaaf dbaae fbbdaac bbg caac gbg eaa dbbf eae dbbf aae fbbd caac bbg caac gbg eaa dbbf eae dbbf aae fbbd caac bbg caac gbg eaa dbbf eae dbbf aae fbbd caac bbg caa bg ea bf e f ``` <!-- end of image --> Success! This area contains an intersection point! Now, let's scrutinize the next spot. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706feff b,#fe0606ff c,#9593fdff d,#ff9d9dff e,#4c4bfeff f,#e7d7eeff g,#f54b55ff ``` ```image caa aac caa faac eae faaf d eae bd caaf bbd eac dbbg caa dbbg aac dbbgf caa fbbbf faac fbbbf eae fgbbd faaf gbbd eae gbbd faaf dbbg eae dbbg caaf dbbgfaac fbbgaa fgaac eaabd faagbbd eae gbbg faaf dbbg eae dbbg caaf dbbbf aac fbbbf caa fbbbd aac gbbd cae gbbd faac gbbg eae dbbg faaf dbb eae db caaf f aac caa aac caa faac eae ``` <!-- end of image --> My analysis confirms the presence of an intersection in area B. My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0403feff b,#ff0707ff c,#8f8efeff d,#ff9e9eff e,#3939feff f,#e6d9f1ff g,#ff4c4cff ``` ```image c a ac fa af ca a ce a ee a ac fa af ca a ce a ee a ac fb fa bgb af bd db fa gg fbf af db bd ca fb bg a bf bg ee bd bb a gg gb ec db gb a fb db ac bf fbf fa bd bd af f bg bg ca ee db bg a ac fb bb ce af bf gb a fa bd db ec ca bg dbfa ee db fac ac fb fabd af b af bg fa bd ca bg ca bg a bb ee gb ce gb ac fb a db af b ee dbf fa bd a fbd cabg ac bd ea fa bg fbac af bb b af ca gb bd fa af gb bg ca ce db gb ee a fbf db ac ee fbd b af a bd bd fa ac bg bg ca fa bb gb ee af g db ac fa b af af bd fa ca bg ca a gb ee ee d ac a af ec fa a ca ac ee fa ac af af ca a a ca ce ea a ac ec af a aac ca ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706fdff b,#fd0909ff c,#979cf4ff d,#eb706bff e,#4f51f3ff f,#add5adff g,#ecebf0ff ``` ```image g ca aee ca a ag ca ca ag ag ga ga ac ag ga ga ac ac a a ee ac a a ca ec ag a ga ee ac a ga ee ac a a ca ee a a ca ca ag ag ca ca ag ag ga ga ag ac ga a ac ee a a ac ea a a ec ca a ag ee ga a ac ee a a ee ca a a ee ca a ag ca ca ag ag ga ga ac ag ggaggggggggggggg ga gffaefffffffffffff gggggggggggacgg gfffafffffffffffff ffffffffffffaffff gfffeeffffffffffff fffffffffffaeffff gffffaffffffffffff fffffffffffafffff gffffeafffffffffff ffffffffffaefffff gfffffafffffffffff ffffffffffaffffff gfffffcaffffffffff gd fffffffffeeffffff gffffffacffffffddbbbbd fffffffffafffffff gfffffffafdbbbbbdf ffffffffeefffffff gffffdbbadddffffff bbbbbddffaffffffff ddbbbbdfffaffffffff ffffdbbeabbbddfff gdbbbbbdffffffffeefffffff fffffffafffddbbbbbbddg gdbbbbdg gfffffffffafffffff ffffffcafffffffff gddbbbbbbdg gdbbbbbdg gfffffffffeaffffff ffffffaffffffffff gdbbbbbbddbbbbdd gffffffffffaffffff fffffcaffffffffff gddg gffffffffffcafffff fffffafffffffffff gfffffffffffacffff fffffafffffffffff gffffffffffffaffff ffffaffffffffffff gffffffffffffaefff ffffaffffffffffff gggggggggggggagg fffacffffffffffff ee ggagggggggggggg a ac ea a a ec ca a ag ee ga a ac ee a a ee a ee a ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0606ff c,#8f87f6ff d,#ff5555ff e,#4e47f8ff f,#ffb0b0ff g,#d1d0fdff ``` ```image cae aac caa aac caa aac caa eac gaa eac gaag eae gaag eae gaag eae bddfff gaag bbbbbbbbdddff cae ffdddbbbbbbbbbbbaacff fffddbbbeaabbbbbdddff gaacddbbbbbbbbbbbd caa fffddbbbbb aac ff caa aac caa eac gaa eac gaag eae gaag eae gaag eae gaag cae aag ``` <!-- end of image --> Success! This area contains an intersection point! Okay, let's direct our attention to the next zone. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0403feff b,#fe0506ff c,#7e77f7ff d,#f84e54ff e,#3b3bffff f,#ffa6a6ff g,#c3c3ffff ``` ```image caa eac gaa eac gaag eae gaag cae aac caa eac gaa eac gaag eae gaag ffd cae ffddbbbbb aag ffddbbbbbbbbdf fcaabbbbbbbddff ffddbbbbaadbdff ffdbbbbbbbbddcaa dbbbbbbbbddf eac bbbbdff gaag ff eae gaag cae aag cae aac caa eac gaag eae gaag cae aag cae aac ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area B. After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#ff0606ff c,#8a8affff d,#f6545cff e,#4747ffff f,#ffababff g,#cacaffff ``` ```image g ca aee ca a a ca ga ag ag ga ga ag ag a a ec ag a a ee ac a a ca ec a a ga ee ag a a ce ac a a ce ee a a ca ca a a ga ga ag ag ga ga ag ac a a ag ee a a ac ce a a ec ca a ag ee ga a ac ce a a ec ce a a ee ca a a ca ga ag ag ga ga ag ag a a ec ag a a ee ac a a ca ec a a ga d ee ag fdbbbbd a a fdbbbbf ee fdbbaddf bbbbbdf a fdbbbbdf a ffdbdabbddf dbbbbdf ee a fdbbbbbbdf fdbbbbdf a ca ffdbbbbbbdf fdbbbbf ca a fdbbbbbbddbbbbdf a ga fdf ga ag ag ga ga ag ac a a ag ee a a ac ce a a ec ca a ag ee ga a ac ee a a ec a ee a ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#0506fdff b,#fa0e0eff c,#8694e3ff d,#dc8879ff e,#a0cc9fff f,#3f45f3ff g,#b2d7b2ff ``` ```image eggggggggggggggggggggge eggggggggggggggggggggge eggggggggggggggggggggge eggggggggggggggggggggge eggggggggggggggggggggge caaa eggggggggggggggggggggge caaf ff eggggggggggggggggggggge caaf a eggggggggggggggggggggge caaf ca egggggggggggggggggggggecaaf a egdgggggggggggggggggcaaf a egbbgggggggggggggcaaace ac eggdbgggggggggcaaacggge a egggdbeggggcaaacgggggge fc egggggbdcaaacggggggggge a eggggeaaacgggggggggggge ff egefaacgbbgggggggggggge a egacgggggbbggggggggggge ca egggggggggdbeggggggggge a eggggggggggebdgggggggge ga eggggggggggggbdggggggge ac egggggggggggggbbgggggge a eggggggggggggggbbggggge ac egggggggggggggggdbgggge a eggggggggggggggggdbegge ff eggggggggggggggggggbdge a egggggggggggggggggggbbe ca eggggggggggggggggggggbb a egggggggggggggggggggggbb ca egggggggggggggggggggggedb a eggggggggggggggggggggge bg a eggggggggggggggggggggge bd ac eeeeeeeeeeeeeeeeeeeeeee bb eeeeeaeeeeeeeeeeeeeeeeeeeeeeee bb eggggffgggggggggggggggggggggge db egggggagggggggggggggggggggggge db egggggfaggggggggggggggggggggge bd eggggggaggggggggggggggggggggge bd eggggggcagggggggggggggggggggge bb egggggggaeggggggggggggggggggge bb egggggggeaggggggggggggggggggge db eggggggggacgggggggggggggggggge bbd egggggggggagggggggggggggggggge dbbd egggggggggffggggggggggggggggge bbbd eggggggggggaggggggggggggggggge bbbdgggggggggffgggggggggggggggge ebbbdgggggggagggggggggggggggge eggebbbdggggcaggggggggggggggge egggggebbbdggaegggggggggggggge eggggggggebbbdagggggggggggggge egggggggggggdbabdgggggggggggge eggggggggggggggabbbdggggggggge eggggggggggggggafgdbbbdgggggge egggggggggggggggaggggdbbbdggge egggggggggggggggffggggggdbbbee eggggggggggggggggagggggggggdbbb eggggggggggggggggcaggggggggggedbbb egggggggggggggggggaeggggggggge d egggggggggggggggggcaggggggggge eggggggggggggggggggacgggggggge egggggggggggggggggggagggggggge egggggggggggggggggggacggggggge eggggggggggggggggggggaggggggge eggggggggggggggggggggffgggggge egggggggggggggggggggggagggggge egggggggggggggggggggggfaggggge eggggggggggggggggggggggaggggge eeeeeeeeeeeeeeeeeeeeeeecaeeeee ag a ac a ff a cf a ca a a ac a fc a ff a ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0808feff b,#f73a42ff c,#b9b9ffff d,#fe8b8bff e,#fe0506ff f,#6463fdff g,#ffcdcdff ``` ```image c dg cfaa geeg cfaaaaa beed cfaaaaafc beed cfaaaaafc deeb cfaaaaafc deebg cfaaaaafc geeeg cfaaaaafc gbeeg cfaaaaafc beed cfaaaaafc debaaaaafc cfaaaaafc cfaaaaafbebg faaaaafc geeeg caaaafc gbeed afc beed deeb deeb geeeg gbeeg beed beed deeb geebg geeeg gbeed beed deeb deeb geeeg gbeeg beed beed deeb deeb gee gb ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area A! Time to investigate another area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#fc5a5cff c,#7d7bfcff d,#fdb1b2ff e,#fe0707ff f,#3e39faff g,#c2c2ffff ``` ```image fac gaa fac gaag faf gaag caf aac caa fac gaa fac gaag faf gaag caf aag caa aac gaa fac gaag faf d gaag eebd caf beeeebd aag dbeeeebd caf dbeeeebd aac dbeeeebd caa beeeeebd fac dbeeeeebd gaag dbeeeeebd faf dbeeeeebdaag dbeeeefaf dbeeaabbd dfaaeeebd aaceeeeebd caa dbeeeeebd fac dbeeeeebd gaa dbeeeeebd fac dbeeeeebd gaag dbeeeeebd faf dbeeeeebd gaag dbeeeee caf dbee aac d caa fac gaa fac gaag faf gaag caf aag caa aac gaa fac gaag faf gaag caf aag caf aac caa fac gaag ``` <!-- end of image --> The evidence is clear: this is an intersection in area B. I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0605feff b,#fb3639ff c,#9b9bffff d,#fd999bff e,#ff0505ff f,#4444feff g,#e7d7eeff ``` ```image g caaa caaf ff caafg a caafg ca caafg ag d caafg ga be caaag ac de caaag a geg gaaac fc edgaaac a gfaac ff gfaac ee a ac be ca deg ag ged ga ed ac eb ga be ac de a deg ff ed a eb ca ee a be ca de ag ged ga ed ac eb a be ff de a deg cf ged a eb ca ee ag be ga de ac geed a beed ff beed a gbeed ff gbeed a gbeed ca gbeed ag gbeeda geabd aeeed fc deeeg a deebg ff deebg a deebg ca deeb ag d ga ac ga ac a ff a ca a ca ag ga ac a ff a cf a ca ag ga ac a ff a ff a ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d51f6ff b,#f45d58ff c,#f9aaa7ff d,#9da0f8ff e,#0707feff f,#aed6afff g,#fe0707ff ``` ```image fffffffffffffffffff cccc fffffffffffffffffff cbbbbbbggggggggggggggggggggggggggggbggb fffffffffffffffffff bbbcccccc bgg fffffffffffffffffff cggc fffffffffffffffffff ggb fffffffffffffffffff bgg fffffffffffffffffff cggc fffffffffffffffffff ggb fffffffffffffffffff bgg fffffffffffffffffff cggc fffffffffffffffefff ggb ffffffffffffffeafff bgg ffffffffffffffeffff cggbffffffffffffefffff ggbfffffffffaefffff ffbggfffffffeffffff ffffcggbfffeaffffff fffffffggbdefffffff fffffffffbegfffffff fffffffffaacggbffff fffffffffeffffggfff ffffffffedfffffffff fffffffaeffffffffff fffffffefffffffffff ffffffeafffffffffff ffffffeffffffffffff fffffefffffffffffff ffffaefffffffffffff ffffeffffffffffffff fffedffffffffffffff ffdefffffffffffffff ffeffffffffffffffff feaffffffffffffffff fefffffffffffffffff effffffffffffffffff aeffffffffffffffffff efffffffffffffffffff ed de e aa e ed de e ea e e ae e ed de e aa e ed ed ee de ded e ea ed ae de ea e ee aa ded e ee ed ded de ea e ae ea ea e ee e ded ae ee e ded ed ea de ae e ea aa ee e ded ed ee de ded e eaea ae ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#413efbff b,#fb5559ff c,#ffa7a7ff d,#8181feff e,#0505feff f,#c4c4feff g,#fe0707ff ``` ```image ed aea feef aed dee feef aea bc feef gggb eed cggggbc dea cbggggc feef bggggb aea cggggbc dee cbggggc eed bggggb aea cggggbcfeef cbgggeed baeegb feebgggbc aea cbggggc deef bggggbc eed cbggg dea cbc feef aed dee feed aea feef eed dee feef aea dee eed aea feef aed dee feef aea feef eed dea feef aea dee eed aea feef eed ee ef a ``` <!-- end of image --> The close-up clearly shows an intersection point in area A. It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3c3cffff b,#ff5b5bff c,#ffababff d,#8282ffff e,#0404ffff f,#c4c4feff g,#fe0707ff ``` ```image cccc cbbbbbbggggggggggggggggggggggggggggbggb bbbcccccc bgg cggc ggb bgg cggc ggb bgg cggc e ggb ad bgg fe cggc ef ggb da bgg e cggc ed ggbfe begc aacggc e gg ef de e ed fe e aa e ef fe e aa e ef de e ed fe e aa e ef de e ad fe ef da e ed fe e aa e ed ef ee de def e ea ed ae fe fea e ae aa fed e ee ef def de ea e ae ad fea fe ae ef fed da ee e def ed ea fe ae e fea aa ae e fed ef ee de def e eaed ae ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0707ff b,#0303ffff c,#8282ffff d,#ff5555ff e,#ffb7b7ff f,#c3c3ffff g,#4343ffff ``` ```image c gbbbgf cbbbbc fgbbbgf cbbbbc fgbbbgf cgbbbc fcbbbgf fgbbbgccccccffffff fccccggggggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgg ffff ae ad ad aa da ea ae ad aa aa da ea ae ad aa da da eae ae ad aa da da eae ae ad aa da da eae adeeeeeeeeeeeeee ddddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#575df2ff b,#ee7068ff c,#b1d6b1ff d,#98c499ff e,#fb0b0bff f,#0807fdff g,#babafeff ``` ```image g gfg f f gf gf fg af f fa fg fa f fg aa f f gf aa af f ff gf fa f fg gf f fg gf f af fg af f fa aa fg f f aa gf f gf gf af f fa e gf fg be fg fdddddddddddddddc be f gfccccccccccccccd ee fg afcccccccccccccdeb f cafcccccccccccdec aa ccfacccccccccbed f cccfaccccccceecd aa ccccfdccccceeccd f cccccfccccebcccd gf cccccdfcbedccccd f ccccccafeccccccd gf cccccceffccccccd fg cccccebcfacccccd f cccdedcccfdccccd fg ccbeccccccfccccd f ceecccccccdfcccd aa eecccccccccafccd f ebcccccccccccffcd aa be cccccccccccccfad f ee ccccccccccccccfd gf ee dcccccccccccccdf f eb gf gf ce gf fg be af f ee fa fg eb fg f eb f aa be gf f ee g aa ee f eb gf ce f be gf ee fg eb f beec fg ceeb f bee ccccccccccaaccccccd beeb ccccccccccfcccccccd eee cccccccccafcccccccd beeb cccccccccfccccccccd eeb ccccccccafccccccccbeec ccccccccfccccccbeeb cccccccdfcccceeedcd cccccccfdcbeebccccd cccccccfeeecccccccd cccccbfebcccccccccd ccceeefcccccccccccd cccdcaacccccccccccd cccccfccccccccccccd ccccafccccccccccccd ccccfcccccccccccccd cccafcccccccccccccd cccfccccccccccccccd ccccccccccccccccccd ccccccccccccccccccd ddddddddddddddddddc ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#6766fdff b,#f23440ff c,#fec6c7ff d,#f98287ff e,#fe0404ff f,#0807fdff g,#bfbfffff ``` ```image gff afa gffg afa ffg afa ffg aff ffg gff c ffa dbe gff cbeeee afa cdeeeebd gffg cbeeeedc afa cdeeeebd ffg dbeeeedc afa cdeeeebc ffdbeeebd affeeebc dbffbbd cbeebffc ceeeebffa eedcgff c afa gffg afa ffg afa ffg aff ffg gff ffa gff aa ``` <!-- end of image --> The evidence is clear: this is an intersection in area A. Right then, let's explore the next spot. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#4340fcff b,#ff6363ff c,#fdb6b7ff d,#8a8affff e,#fd0809ff f,#0605fdff g,#cccbfeff ``` ```image fg fa ffa gffd dffd dffg affg ce afa cee ffa beeb gffd beeb gffd ceeec dffg ceeec affg beeb aff beeb ffa eeec gffa ceeec gffd ceee dffgbeeb dffeeb caffc ceeffa beebgffa beeb gffd eeec dffd ceeec dffg ceee affg beeb afa beeb gffa ceeec gffd ceeec dffd beeb dffg eeb affg ec afa c gffa gffd dffd dff af ``` <!-- end of image --> Aha! I've found an intersection inside area B! After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3e3effff b,#fb595cff c,#ffb6b6ff d,#7e7effff e,#ff0808ff f,#0504feff g,#c4c4ffff ``` ```image g dfg fgf gf gf fg df f aa fg fd f fg ad f f gf da df f aa da fd f fg gf f fg gf f df fg aa f fd ad fg f f da gf f df df af f fa e gf fg cec fg fg be f f ee fg gf eb f af cec ad fa be f fd ee da fg eb f f ec df gf ce f dfe gf efa fg eb fd f cec fg fg be f f ee gf ad eb df f ec aa da ce fd f be fg df ee f f eb gf gf cec df fg be af f ee fa fd eb fg f cec f ad ce gf f be g da ee f eb df cec f be gf ee fg ceb f beec fd ceeb f beec ad ceeb f eee da beec f ceeb gf beec f ceeb gf beec fg ceeb feee bfbc eebf c ad f da f gf f ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#f24240ff c,#a4a5fcff d,#fe0606ff e,#ff9e9eff f,#add3acff g,#464bf6ff ``` ```image e bb ccccccccccccccc d cagggggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ed a db ca d a ed ca de ac d a ed ac de a d gc ed a de gg d a ed cg de a d ca ed a de a d ac ed a de ac d a fbdffffffffggfff ffdffffffffaffff fffdffffffggffff fffbdfffffafffff ffffdffffgafffff fffffdfffaffffff fffffbbfcaffffff ffffffdfafffffff fffffffdafffffff fffffffabfffffff fffffffadfffffff ffffffagfdffffff ffffffaffbbfffff fffffggfffdfffff fffffafffffdffff ffffggfffffdbfff ffffafffffffdfff fffcaffffffffdff fffafffffffffdbf ca d ac ed a de ac d a ed gc de a d gg ed a de cg d a ed ca de a ddbe a eddde ac ebdde a bddb ac eddbe a eddde gg ebdde a bddb gg eddbe a eddde ca bdde a bddb ca eddde a edd a ac a gc a gg a cg a ca a ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0403feff b,#fb6265ff c,#7a77fbff d,#fe0a0aff e,#ffbabaff f,#c1c1ffff g,#3b34f7ff ``` ```image edde faa bdd gac ddb faa edde cac bdd faaf ddb cag edde aaf bdd cag ddb aaf edde cag bdd gac ddb faa edde gac bdd faa ddb gac eddefaaf bdbcag ddaaf egag aab caade aacdd faa bdb gac edde faa bdd gac ddb faa edde gac bdd faaf ddb cag edde aaf bdd cag ddb aaf edde cag bdd gac ddb faa edde gac bdd ``` <!-- end of image --> Aha! I've found an intersection inside area A! The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#fc6669ff c,#8989ffff d,#fe0a0aff e,#ffb2b2ff f,#c3c3ffff g,#4242ffff ``` ```image e db cccccccfffffffffff d cgggggggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ed a db ca d a ed fa db af d a ed af db a d gc ed a de gg d a ed cg de a d fa bd a de fa d af bd a de ac d a bd gc de a d cg bd a de ca d a bd fa deaf da ab ad gc d a db gg d a ed cg db a d fa ed a db fa d af ed a db ac d a ed gc db a d gg ed a de cg d a ed fa de a ddde fa eddde af edddb a bddb ac bddde a eddde gc edddb a bddb cg bddde a eddde ca edddb a bddb fa bddde af edd a af a gc a gg a cg a fa a ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0706ff b,#5864e6ff c,#e4988bff d,#ed4e48ff e,#b1d7b1ff f,#0606fcff g,#95c799ff ``` ```image c a ac a a ca a cd a dd a ac a a ca c a ac ca a a dd dd a a ca ac a a a ac ac ca a a dd ca a a ca dd a a ca ac acgggggggggggggggggggggggggggggggggggggggggggggge a aeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ac adeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg a eaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg a eddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ca eeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg a eecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dd eeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg a eeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dd eeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg a fb eeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegac bffe eeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeega ffb eeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeea bffgeeeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeca effbeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeag eebffgecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedag eeeegffbaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeg eeeeeeebffgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddeg eeeeeeeeedffbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeg eeeeeeeeeeaebffgeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeg eeeeeeeeeeddeegffbeeeeeeeeeeeeeeeeeeeeeeeeeaeeeg eeeeeeeeeeeaeeeeebffgeeeeeeeeeeeeeeeeeeeeeaceeeg eeeeeeeeeeedaeeeeeebffbeeeeeeeeeeeeeeeeeecaeeeeg eeeeeeeeeeeeaeeeeeeeeebffgeeeeeeeeeeeeeeeaeeeeeg eeeeeeeeeeeecaeeeeeeeeeebffbgeeeeeeeeeeedaeeeeeg eeeeeeeeeeeeeaceeeeeeeeeeeebffffbeeeeeeeaeeeeeeg eeeeeeeeeeeeeeaeeeeeeeeeeeeeeeegbffffbeddeeeeeeg eeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeegbffffbeeeeg eeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeadebbffffb eeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeeaeeeeeeebffffbe eeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeaceeeeeeeeg bffffbe eeeeeeeeeeeeeeeecaeeeeeeeeeeeeeeeeeecaeeeeeeeeeg bffffb eeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeeeaeeeeeeeeeeg bffffb eeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeecaeeeeeeeeeeg bffff eeeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeeeaeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeddeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeaeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeadeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeedaeeeeeeeeeeeaeeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeaceeeeeeeeeeeeeg eeeeeeeeeeeeeeeeeeeeecaeeeeeeeecaeeeeeeeeeeeeeeg ggggggggggggggggggggggacgggggggaggggggggggggggge a ca ac a a dd dd a a dd ca a aac a ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0404ff b,#605ffeff c,#ff7e7eff d,#f8383eff e,#b1b0fdff f,#0907fdff g,#fec0c1ff ``` ```image ad aag cad aag caa aac gaa dac gaag dad gaag cad aac caa dac gaag dad gaag cad aag caa aac gaa dac gaag dad g gaag d fbe cad ga ffffe aac da ebffffbe caa caa efffffe dac aac ebffffbe gaa cad efffffe dad gaag ebffffbeaag dad efffffdd gaag ebffffbe dac efffffe gaa dfffffbe dac caabffffbe caa dac ebffffbe aac gaag bffffbe cad dad ebffffbe aag gaag bffffbe cad cad ebffffbe gaag aac bffffbe dad caa ebffffb gaag dac bffffbe dac gaa ebffffb caa dac bffffbe aac gaag ebffffbe cad dad bffffffbbe aag aag ebffffffffbbe cad cad eebffffffffbbe gaag aac eebffffffffbee dad caa eebfffffffffde dac ebbffffffffbee gaag gddbfffffffbbee dad aac ebbfffffffbb gaag caa ebbffff cad aag eeb aag cad caa gaag aac dad gaa gaag dac dac gaag gaa dad dac gaag caa cad aac aac cad caa gaag dac dad gaag gaag dad dac gaag gaa cad dac aag caa caa aac aac cad gaa aag dac cad gaag gaag ``` <!-- end of image --> I can confirm that an intersection exists in area A. The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0505ff b,#6060ffff c,#ff8585ff d,#fd3f41ff e,#c0c0ffff f,#0605feff g,#ffc5c5ff ``` ```image c a ac ga ag ga a cd a dd a ac a ag ga g a dc ca a a dd dd a a ca ac ag a ga ag ac ga a a dd ca a a cd dd a a ga dc ag a a ag ac ga a ag dd ca a a ca cd ag a ga dc ag a fb a ac bffe dc ga effb a ag bffe cd ga effb a a bffe ga cd effbag a bffe dd dffb a a bffe ac dd effb a a bffe ag ca effb ga a bffe a ga effbe ca ag bffffb a a ebffffb dd dc ebffffe a ac ebfffbe cd a ebfffbe a ag effffbe ca ga bffffbe ag a bffffbe ga ca ebffff ac a e a dd dd a a dc ca a a ag ga ga ag ag a ca dc a a cd dd a a dc ca a aac ga ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#4345eeff b,#fc0c0bff c,#ee7169ff d,#8b95e9ff e,#aed5adff f,#0606fdff g,#f0ebecff ``` ```image c gb bg cb b bc gb bg cb b bc gb bg cb b bc gb bg cb b bc gb bg d cb fff b gf af bc fg dfg gb bg aa gfd ggggggggggggggbg gb gf fa eeeeeeeeeeeeeecbg cb fg ff eeeeeeeeeeeeeebeg bc df af eeeeeeeeeeeeebceg bg f dfg eeeeeeeeeeeecbeeg b fd gfdeeeeeeeeeeeebeeeg gb df faeeeeeeeeeebbeeeg cb f ffeeeeeeeeebeeeeg bc fd eafeeeeeeebceeeeg bg df eedfdeeeecbeeeeeg gb fg eeeefaeeebeeeeeeg gb ggggggggggggggaa eeeeefaebceeeeeeg cbeeeeeeeeeeeeeeefg eeeeeeffbeeeeeeeg bceeeeeeeeeeeeefeg eeeeeeeafeeeeeeeg beeeeeeeeeeeeaaeg eeeeeecbdfdeeeeeg ebeeeeeeeeeeefeeg eeeeeebeeefaeeeeg ecbeeeeeeeeefdeeg eeeeebceeeeffeeeg eebbeeeeeeeafeeeg eeeeebeeeeeeafeeg eeebceeeeeefeeeeg eeeebeeeeeeeedfeg eeeebeeeeefdeeeeg eeecbeeeeeeeeeefd eeeeebeeedfeeeeeg eeebeeeeeeeeeeeefa eeeeecbeefeeeeeeg eebceeeeeeeeeeeegff eeeeeebbfaeeeeeeg eebeeeeeeeeeeeeeg af eeeeeeebfeeeeeeeg ebeeeeeeeeeeeeeeg dfg eeeeeeefbeeeeeeeg cbeeeeeeeeeeeeeeg gfd eeeeeeaaebeeeeeeg beeeeeeeeeeeeeeeg fa eeeeeefeecbeeeeeg bcggggggggggggggg ff eeeeefdeeebceeeeg gb af eeeeafeeeeebeeeeg bg dfg eeeefeeeeeeebeeeg cb gfd eeefdeeeeeeecbeeg b fa eedfeeeeeeeeebbeg bc af eefeeeeeeeeeeebcg gb df efaeeeeeeeeeeeebg bg g dfeeeeeeeeeeeeeeb cb feeeeeeeeeeeeeeecb b aaeeeeeeeeeeeeeee bb bc gf bc gb fg bg bg aa gb cb gf cb b fg bc bc df bg gb f bg bg fd gbcc df cb f fd gf fg aa gf fg ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4b46faff b,#fd0607ff c,#ff9090ff d,#9a99feff e,#ff4343ff f,#0706feff g,#ecd4e6ff ``` ```image a df gff afa c dffg bc gffd bbg afa ebe dffg gbbe ffd gbbc aff cbbg gffd ebbg afa ebe dff gbbe gffd gbbc afa cbbg dffg ebbg gffd ebe afa gbbc dffg cbbc ffd cbbg afa ebb dffg bbe ffa gbbaff cbffd ffag dffbe gffdbbe afa gbbc dffg cbbg gffd ebbg afa ebe dffg gbbe ffd gbbc aff cbbg gffd ebbg ffa ebe dff gbbc gffd cbbc afa cbbg dffg ebb gffd bbe afa gbbc dffg cbb ffd cb afa e dffg g ffa ff ``` <!-- end of image --> Eureka! There's definitely an intersection in area A! Time for a closer look at another area. Let's see if area B yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#4c4cffff b,#ff0909ff c,#feb5b5ff d,#adadffff e,#ff6262ff f,#0707feff g,#8e1586ff ``` ```image b eb cbb bbe ebb bbc ebe cbbc bbe ebb a bbc fa ebe fff cbbc dfffd bbe affd ebb affa cbbc dffa ebe dfffd cbb fffd bbe affd ebb affa cbbc dffa ebe dfffdcbb affgbe affg cgffa ebgffa cbb dfffd bbe affd ebb affa cbbc dffa bbe dfff cbb dfffd bbc affd ebb affa cbbc dffa bbe dff cbb f bbc ebb cbbc bbe ebb bbc ebe cbbc bbe ebb bbc ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area B! Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4a47fbff b,#fe0708ff c,#ff9090ff d,#9a9affff e,#ff4c4cff f,#0606feff g,#efd6e6ff ``` ```image c b bg cb b ee gb bg cb b be gb bg cb b bc gb bg cb b bc gb bg d ee fff b gf af bc fg dfg gb bg aa gfd b gb f fa ee cb fg ff b be af af bc bc f dfg cb b fd gfd b gb df fa ee eb f ff b be fd af bc bg df dfg cb b f fd b cb aa fa ee eb gf afb bc fg af bg aa cbgfd gb f b fa cb fd ee ff ee df gb af bc f bg dfg bg fd cb gfd gb df b fa cb f be ff befa gb af bf bg dfg fb cb gfd aagb b fa gf eb bc ff fg be gb af af bg bg dfg f b cb fd fd cb b fa df eb bc af f bc gb df fd bg bg g df gb eb f cb b aa ee bc gf bc gb fg bg bg aa gb ee f cb b fg be bc df bc gb f b b fd gbee df eb f fd gf f aa gf fg ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#0707feff b,#f7504cff c,#9ea0faff d,#fe0606ff e,#f6a9a5ff f,#4f4ff5ff g,#b0d6afff ``` ```image c faa caac aaf faa caac aaf faa caac aaf faa caac faf caac caac faf ca ca ac a ca ac a ca af a ca ff a a ff ac a fa ac a ca ac be a edddb ca bddde af ebddbe a edddb ca bddde af ebddbe a edddb a bddde ff ebddbe a eddd a ede fa dd ac ede a dd fa ede ac dd a bde ca dd ac bde a dd ca bde af db a bd ca db af bdgggggggggaggggggggggggggg gdbggggggggagggggggggggggg ggbdgggggggffggggggggggggg ggggdbggggggaggggggggggggg gggggddggggggagggggggggggg gggggggdbggggfaggggggggggg ggggggggddggggacgggggggggg gggggggggedbgggagggggggggg gggggggggggddggfaggggggggg ggggggggggggedbgacgggggggg ggggggggggggggddgagggggggg gggggggggggggggedfaggggggg gggggggggggggggggdafgggggg ggggggggggggggggggeabggggg gggggggggggggggggggcadgggg ggggggggggggggggggggafgggg gggggggggggggggggggggagggg gggggggggggggggggggggggggg gggggggggggggggggggggggggg gggggggggggggggggggggggggg ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0705fdff b,#fe6f6fff c,#aaa8fdff d,#fe0304ff e,#fdb9baff f,#5243efff g,#f82a31ff ``` ```image ddb caac gddg caa eddde faf gddg aac bddde caa egddg faf bddde aac egddb caac bddde faf egddb aac bddde caac egddb faa bddde aaf egddb caac bddge faa egddb aaf bddge caac egddb faa bddge faf egddb caac bddge caa egddb faf bddgeaac edddfaa bddfaf eddaac bgaac efaab aafge caagdb faadg aafe caac faa fc ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#ff5252ff c,#8683fcff d,#ff0606ff e,#feb1b1ff f,#4241fdff g,#c1c1feff ``` ```image c faa caag aaf faa gaac aaf caag gaac faf caag gaac faf caag gaac faf ca ca ac a ca ac a ga af a ga ff ag a ff ag a ca ag a ca ac be a edddb ca bddde ac ebddbe a edddb ga bddde ff ebddbe a edddb ga bddde ff ebddbe ag eddd a ede ff dd ag ede a dd ca bde ag dd a bde ca dd ac bde a dd ga bde ac db a bde ga db ff bd a db ga bd ff edb ag bd a edb ff dd ag edb a dd ca edb ac dd a edca dac eae gad af a ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0808ff b,#0808fdff c,#f05e58ff d,#c6c6feff e,#ffb3b3ff f,#aed5adff g,#6369f2ff ``` ```image e ca aca cc a a ea cc ae a a ac cc a a ae ea a ae ae a a cc ae a ea ea a ae ea a a ac ea a a ca ca a a ea cc ae a a cc cc a a ac ea a ae ae a a acffffffffffffff ae faffffffffffffff ea fcafffffffffffff ae ffafffffffffffff ea fffaffffffffffff a gbbbg fffacfffffffffff ea db dgbbbd ffffafffffffffff a b dbbbgd ffffcaffffffffff ea bd gbbbg fffffaffffffffff a bg dgbbbgfffafffffffff cc gb fgbbbgacffffffff a db fffffgbbbgffffff cc b fffffffccgbbbgff a bd ffffffffafffgbbbgd cc bg ffffffffcaffffffgbbbg a gb fffffffffacfffff dgbbbd ae db ffffffffffafffff dbbbg a bd ffffffffffacffff g ae bg fffffffffffaffff a gb fffffffffffcafff ae db ffffffffffffafff ea b fffffffffffffaff ae bd fffffffffffffacf ea bg a a gb ca ea db a ffffffffffafff b ea fffffffffcafff bd ae fffffffffaffff bg a ffffffffcaffff gb cc ffffffffafffff db a fffffffccfffff bd ea fffffffaffffff bg ae ffffffacffffff gb a ffffffafffffff db cc fffffacfffffff b a fffffaffffffffbd ea ffffacfffffffbg ae ffffafffffffgb a fffaffffffffbf ac fffffffffffbff a ffffffffffbgff ca fffffffffbbfff a ffffffffgbffff ea ffffffffbfffff ae bd a bg e gb db b bd ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff0505ff b,#0707ffff c,#ff8080ff d,#b0b0ffff e,#ffc2c2ff f,#ff3c3cff g,#5a5affff ``` ```image aac caa aac caf aae caf aae caf eaae faf eaae faf eaae fac eaa fac eaa fac caa aac caa aac caf aae caf g aae gb caf dbb eaae dbbg eff bbg gbb gbbd dbbd bbg bbg gbb dbbd dbbd bbg ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Okay, let's proceed to the next area. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0605fdff c,#ff8e8eff d,#a4a1fbff e,#ffccccff f,#fd494aff g,#5346f2ff ``` ```image faf eaae faf aac caa faf eaae faf eaac caa aac eaae faf eaae caa aac caae bgd faf bbbbbgd eaae ddgbbbbbgdd faf dgbbbbbbgdaac dgbbbbbbgd ddgbbbbbgdd dgbbbbbbgd fafdgbbbbbbgd eaac ddgbbbbbg caa dgbbb aac d eaae faf eaae caa aac caae faf eaae faf aac caa faf eaae faf eaac caa ``` <!-- end of image --> My analysis confirms the presence of an intersection in area B. After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0808feff c,#ff8686ff d,#a2a2ffff e,#ffc9c9ff f,#fe494aff g,#5151ffff ``` ```image e ca aca ff ae a ea ff ac a a ac ff a a ac ea a ae ae a ea ff ae a ea ca ae ae ea a a ac ca a a ca cf ae a ea ff ac a a ff ff a a ac ea a ae ac a a ff ae a ea ca ae ae ea ea a gbbbd ac ca db gbbbd a a b dbbbg ca ca bd dbbbd ae a bg gbbbd ea cf gb dbbbgac a db dbbbd ff b ffgbbbd a bd a dbbbg fc bg ea dbbbd a db ae gbbbd ac b a dbbbg a b ff d ac bd a a gb ca ae db ae ea b ea ae bd ac ea bg a a gb ca ca db ae a b ea ca bd ac a bg a ff db ff a b a ff b ea a bd ae fc gb a a db ff ac b a a bd ca ae bg ae ea gb ea ae db ac b a bd ca bg a db ea b ac b a bd e gb db b bd ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? I did not find anything, there's no intersections
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0303ffff b,#ff0707ff c,#7e7effff d,#ffb0b0ff e,#ff5757ff f,#c4c4ffff g,#3838ffff ``` ```image d debbbbbe ddebbbbbed debbbbbed debbbbbed debbbbbedd deebbbbbed ebbbed bb dbd bb be eb bb dbd bb be ebd bb dbd eb be ebd f bb fa dbe a eb ac be gg dbd fa bb a dbe af eb gg bb ca dbd a e af ac ca fa a ac gg fa a af gg ca a af ac ca fa a ac gg fa a af gg ca a af ac ca fa a ac gg fa a af gg ca a af ac ca fa f a aaaaaaaaaaagcccf ac ffccggaaaaaaaaaaggccff gg ffccggaaaaaa ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#454defff b,#fb0c0aff c,#0607fdff d,#e8776cff e,#b1d7b1ff f,#99a0f0ff g,#9bc597ff ``` ```image f fc c cf ca fc c c cf cf c ac fc fc aa c cf cf d c gggggggggggggggggggggggggggggggcaggggggggb fc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeebg aa eeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeeeeeebge cf eeeeeeeeeeeeeeeeeeeeeeeeeeeeeceeeeeeeebdee c eeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeebbeee fc eeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeedbeeee ca eeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeeegbeeeee c eeeeeeeeeeeeeeeeeeeeeeeeeeceeeeeeeebeeeeee c eeeeeeeeeeeeeeeeeeeeeeeeecfeeeeeeebdeeeeee fc eeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeebbeeeeeee cf eeeeeeeeeeeeeeeeeeeeeeeaceeeeeeedbeeeeeeee c eeeeeeeeeeeeeeeeeeeeeegceeeeeeedbeeeeeeeee c eeeeeeeeeeeeeeeeeeeeeeceeeeeeeebeeeeeeeeee ac eeeeeeeeeeeeeeeeeeeeecfeeeeeeebgeeeeeeeeee cf eeeeeeeeeeeeeeeeeeeecaeeeeeeebdeeeeeeeeeee c eeeeeeeeeeeeeeeeeeefceeeeeeebbeeeeeeeeeeee fc eeeeeeeeeeeeeeeeeeeceeeeeeedbeeeeeeeeeeeee aa eeeeeeeeeeeeeeeeeecgeeeeeegbeeeeeeeeeeeeee cf eeeeeeeeeeeeeeeeecaeeeeeeebeeeeeeeeeeeeeee c eeeeeeeeeeeeeeeeaceeeeeeebdeeeeeeeeeeeeeee fc eeeeeeeeeeeeeeefceeeeeeebdeeeeeeeeeeeeeeee aa eeeeeeeeeeeeeeeceeeeeeebbeeeeeeeeeeeeeeeee cf eeeeeeeeeeeeeecfeeeeeedbeeeeeeeeeeeeeeeeee c eeeeeeeeeeeeecaeeeeeegbeeeeeeeeeeeeeeeeeee fc eeeeeeeeeeeeaceeeeeeebgeeeeeeeeeeeeeeeeeee ca eeeeeeeeeeeeceeeeeeebdeeeeeeeeeeeeeeeeeeee c eeeeeeeeeeecgeeeeeebbeeeeeeeeeeeeeeeeeeeee c eeeeeeeeeecaeeeeeedbeeeeeeeeeeeeeeeeeeeeee fc eeeeeeeeeaceeeeeedbeeeeeeeeeeeeeeeeeeeeeee ca eeeeeeeefceeeeeeebeeeeeeeeeeeeeeeeeeeeeeee c eeeeeeeeceeeeeeebgeeeeeeeeeeeeeeeeeeeeeeee c eeeeeeecfeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeee ac eeeeeecaeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeee cf eeeeeaceeeeeedbeeeeeeeeeeeeeeeeeeeeeeeeeee c eeeegceeeeeegbeeeeeeeeeeeeeeeeeeeeeeeeeeee fc eeeeceeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeee ac eeecaeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeee cf eeaceeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeee c efceeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fc gceeeeeedbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aa cfeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cf caeeeeeebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee caceeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fc eeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeedbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeegbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee bgggggggggggggggggggggggggggggggggggggggggg db bbb dbbd bbd dbbe dbbd bbb dbbd bbd dbbe dbbd bbb dbbd bbd bbe ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5959ffff b,#ff0606ff c,#0808ffff d,#ff4242ff e,#ffcacaff f,#b4b4ffff g,#ff8888ff ``` ```image fccf g cca eb acc ebb accf dbd fccf dbbe fcca gbbe cca ebbg acc ebbg fccf bbd fccf dbb cca gbbe acc gbbe accf ebbg fccf ebbd fcca dbd cca dbbe acc gbbe fccf gbbg fccf ebbg cca bbd acc dbd acc dbbe fccf gbbe fcca ebbg cca ebbg acc bbd accf dbb fccf gbbe cca gbbe aca ebbg acc ebbd fccf dbd fcca dbbe cca gbbe acc gbbg accf ebbg fccf bbd cca dbd cca dbbe acc gbbe fccf ebbg fccf ebbd cca dbd acc dbb accf gbbe fccf gbbe fcca ebbg cca ebbd acc dbd fccf dbbe fccf gbbe cca ebbg acc ebbg acc bbd fccf dbb fcca dbbe cca gbbe acc ebbg accf ebbd fccf dbd cca dbb aca gbbe acc gbbg fccf ebbg fcca ebbd cca dbd acc dbbe accf gbbe fccf ebbg cca ebbg cca bbd acc dbb fccf gbbe fccf gbbe cca ebbg acc ebbd accf dbd fccf dbbe fcca gbbe cca gbbg acc ebbg fccf bbd fccf dbd cca dbbe cc gbbe cf ebbg f ebbd bbd dbb gbbe gbbe ebbg ebbd dbd dbbe gbbe ebbg ebbg bbd dbd dbbe gbbe ``` <!-- end of image --> There is no intersection present within area A. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4040ffff b,#ff0909ff c,#0505ffff d,#ff5f5fff e,#ffb3b3ff f,#c2c2ffff g,#8484ffff ``` ```image g fc c cf aa gc c cf cg cg c ac fc fc aa c cf cf e c ca eb fc gc b aa fc be cf c bd c cg db gc aa eb ca fc b cf c b c cf be gc ca bd cg gc db c fc eb fc c b ac cg be cg aa bd c gc bb fc c db aa cf eb cf cg b c ac be fc fc bd aa c db cf cf eb c aa b gc gc b ca c be cf cf bd c cg db gc ac eb cg fc b c c be fc cf bd gc ca bb cg gc db c fc eb fc c b aa cg be cg aa bd c fc db fc c eb aa cf b cf ca b cgc be gc bd db eb b be bd db eb eb eb bbb dbbe ebbd dbbe ebbd bbb dbbe ebbd dbbe ebbd bbb dbbe ebbd bbe ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#0b0bfcff b,#fd0707ff c,#ec5252ff d,#9ac295ff e,#b2d7b2ff f,#ffb3b3ff g,#6b71f1ff ``` ```image e ag a gg a ga a ea a a ag a ag a ga a ga a ea ae a ag a gg a ga b a bf ga bc a cb a fb ae b a bf ag bc a cb gg fb a b ga bf a bc ea cb a fb a b ag bf a bc ag cb a fb ga b f a bf cb ga bc cb a cb fb daddddddddddddddddddddddddddddddddb fb dadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb bf deaeeeeeeeeeeeeeeeeeeeeeeeeeeeeebd bf deageeeeeeeeeeeeeeeeeeeeeeeeeeebcd bc deeaeeeeeeeeeeeeeeeeeeeeeeeeeecbed bc deeageeeeeeeeeeeeeeeeeeeeeeeedbeed bb deeeaeeeeeeeeeeeeeeeeeeeeeeeebeeed bb deeegaeeeeeeeeeeeeeeeeeeeeeebdeeed cb deeeeaeeeeeeeeeeeeeeeeeeeeebceeeed cb deeeegaeeeeeeeeeeeeeeeeeeecbeeeeed fb deeeeeadeeeeeeeeeeeeeeeeedbeeeeeed fb deeeeedaeeeeeeeeeeeeeeeeebeeeeeeed bf deeeeeeageeeeeeeeeeeeeeebdeeeeeeed bf deeeeeeeaeeeeeeeeeeeeeebceeeeeeeed bc deeeeeeeageeeeeeeeeeeecbeeeeeeeeed bc deeeeeeeeaeeeeeeeeeeedbeeeeeeeeeed bc deeeeeeeegageeeeeeeeebeeeeeeeeeeed bb deeeeeeeeegaaaaaaaagcdeeeeeeeeeeed cb deeeeeeeeeeeeeeeeedcaaaaaaaaaggded cb deeeeeeeeeeeeeeeeecbeeeeeeeeggaaaaaaaagge fbdeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeed ggaaaaaaaagg fbeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeed eggaaaa dbdeeeeeeeeeeeeebdeeeeeeeeeeeeeeed debdeeeeeeeeeeebceeeeeeeeeeeeeeeed deebceeeeeeeeecbeeeeeeeeeeeeeeeeed deeebceeeeeeedbeeeeeeeeeeeeeeeeeed deeeebceeeeeebeeeeeeeeeeeeeeeeeeed deeeeebbeeeebdeeeeeeeeeeeeeeeeeeed deeeeeebbeebceeeeeeeeeeeeeeeeeeeed deeeeeeecbcbeeeeeeeeeeeeeeeeeeeeed deeeeeeeecbeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5450faff b,#ff0505ff c,#fa4348ff d,#0606feff e,#afadfdff f,#ffd0d0ff g,#ff9191ff ``` ```image ada edde ada f dde c ada cb dde gbb edd fbbg dde fbbc edd cbc ada cbbf edd gbbf ada fbbg edde fbbc ada cbc dde cbbf add gbbf dde fbbg edd fbbc dde cbc edd cbbf ada gbbf edd fbbg ada fbbc edde cbc ada cbbf dde gbbf add fbbg dde fbbc edd cbc dda cbbf edd gbbf ada fbbg edde fbbc adaeee cbc ddddddddaaaeeee cbbf eaaaddddddddddddddaaacce eeeaaaddddddddddddddaaaaeee eecaaaddddddddddddddaaaeee cbc eeeeaaadddddddddddddd cbbf eeeaaaddddd gbbf e c fbbg bc fbbc bbc cbc fbbcf cbbf fbbbf gbbf fcbbf fbbg cbbf fbbc cbbg cbc cbbg cbbf gbbg gbbf gbbc fbbg gbbc fbbc gbbc cbc fbbcf cbbf fbbbf gbbf fbbbf fbbg cbbf fbbc cbbg cbc cbbgcbbf cbbbbf gbbg fg ``` <!-- end of image --> I've cracked the case! This area contains the intersection. I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3c3bfdff b,#ff0808ff c,#f95a5fff d,#0303ffff e,#bdbbfdff f,#ffbbbbff g,#7b7bffff ``` ```image e ag d aa d ga d ed de d de d ag d ga d gd d ed de d dg d aa d ga b d bf ed bc de cb ed fb de b d bf ag bc d cb aa fb d b gd bf d bc ed cb de fb d b de bf d bc ag cb d fb ga b c d bf cb gd bc cb d cb fb ed fb fb de b bf d bf bf dg bc bc d cb bc aa fb bb d b bb ga bf cb d bc cb ed cb fb de fb fb ed b fbf de bf bf d bc bc ag cb bc d fb bc aae b bb gaddddddaace cb ecaaddddddagee cb cb egadddddddage cb fb eggaddddddagge fb b egadddd fbf bf bf bc bf cb bc fb bc b bb bf bb bc cbcb cb ``` <!-- end of image -->
Let's examine this image for potential line intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#e44843ff b,#0c0dfaff c,#d99684ff d,#fc0605ff e,#b1d7b1ff f,#96c996ff g,#6a78d5ff ``` ```image c dc d d d d cd d d dc ca d dffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff d aaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cd fdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d fdceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dc fedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d fedceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d fecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cd feedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d feecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aa b feeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d gb feeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dc bb feeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cd bgfeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d bgeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aa beeeeedceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee d gbeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee dc fgbeeeedceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecd febbeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feebgeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaa feeebeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeebeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedc feeeegbeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecde b feeeeebbeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedee bg feeeeeebgeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadee gb feeeeeeebgedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeee bb feeeeeeeebedceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeee bg feeeeeeeegbedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeee gb feeeeeeeeegbdceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedceeee bb feeeeeeeeeebbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdeeeee gbe feeeeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeee bb feeeeeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeefbg feeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeegbe feeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedceeeebbe feeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdeeefbgee feeeeeeeeeeeeeeabgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeebbeeee feeeeeeeeeeeeeeedbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeebbeeeee feeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedegbgeeeeee feeeeeeeeeeeeeeeedgbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcbbeeeeeeee feeeeeeeeeeeeeeeedfgbeeeeeeeeeeeeeeeeeeeeeeeeeeeeecdbgeeeeeeeee feeeeeeeeeeeeeeeecdebbeeeeeeeeeeeeeeeeeeeeeeeeeeeegbfeeeeeeeeee feeeeeeeeeeeeeeeeedeebgeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeee feeeeeeeeeeeeeeeeecdeebeeeeeeeeeeeeeeeeeeeeeeeegbaeeeeeeeeeeeee feeeeeeeeeeeeeeeeeedeeebeeeeeeeeeeeeeeeeeeeeeebbdceeeeeeeeeeeee feeeeeeeeeeeeeeeeeeaaeegbeeeeeeeeeeeeeeeeeeeebbcdeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeedeeebbeeeeeeeeeeeeeeeeegbgedeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeaaeeebgeeeeeeeeeeeeeeebbeeadeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeedeeeebgeeeeeeeeeeeeebgeeedeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeedceeeebeeeeeeeeeeegbeeeedaeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeedeeeegbeeeeeeeeebbeeeeedeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeedeeeeegbeeeeeegbgeeeeedfeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeecdeeeeebbeeeebbeeeeeeadeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeedeeeeeebgeebbeeeeeeedeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeecdeeeeeebgbgeeeeeeedaeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeedeeeeeeebeeeeeeeeedeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeedceeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeedeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeedceeeeeeeeeeedeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeedceeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeecdeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeecdeeeeeeeedeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeee efffffffffffffffffffffffffffadffffffdffffffffffffffffffffffffff d dc aa ed d d ac aa d d ddc d ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#f93c41ff b,#0806fdff c,#fe8080ff d,#fe0506ff e,#acacfeff f,#fec4c5ff g,#504cfaff ``` ```image df da ddf adc adc cdd dd cd df ca fdf ddf adc fdd adc cdd ddc cda ddf fddf ada fdd ad fd e ac b cd bbg da ebbe ddf ebb cda gbe fddf gb ada bg fdd bbg adc ebbe fdd a gbb cdd ad gbg ddf cdd bbg cda ddc ebb dd cda ebe cd ddf gbe fdf da bb ac fd ebbg dc cd ebbe dd fdd ebbe adc ada gbb cdd fddf gbg ddf ddc bb cda cdd ebe ddf fddf ebecda ada gbbadc adc bbgdd dd ebbgdc dc ebbad aa ebbdc fdf gbba ad gbb cdd eb ebg cda gbbg gbe fddf ebbe fbbe ada gbg bbb cdd ebbb dbbg ddc ebbbe adbbg cda gbbg fdabbe ddf bbbe cddgbb fdf gbg ddfgb dc ebbb cda bg cd gbbg ddfebe fddebbbe cda bbe adabbbe fddfgbbe fddgbg adc gbb aabbe fdd bbg cgbbg fd ebbe ebbbe dc ebb gbbbf ca gb ebbac df gg ebbdd da bg gbbddc ddf bbe ebbbeda cda ebbe gbbg fdf adc gbb ebbe cd fdd bbg gbg dd adc ebbg ebbb cda fdd ebbe ebbbe fddf ddc ebb gbbg ada cda gb bbbe fddf ddf gg gbg ddc cda bg ebbg cdd cd ebbe gbbg ada fdf gbbe ebbbe ddf ac gbb gbbbe dc fd bbg bbg cd dc ebbg ebbe fdf dd ebb gbb ad ddc ebe ebbbg fdd ddf bbbg cdd cda bbe ddc ddf cda cda fddf fddf adc adc cdd fdd ddc adc da ddc aa cda fdf dd dd cd cdd df fddf ca ada fdf fddf dd cdd adc fddf fdd ada ddc fddf ``` <!-- end of image --> My investigation has led me to an intersection in area A! I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f84046ff b,#0807fdff c,#fe8989ff d,#fe0606ff e,#aeaeffff f,#ffcbcbff g,#544df8ff ``` ```image f dc d df fd d f cd d d dc ca fd d df ac cd d d dc dc d fd df df fd cd d d cd aa g d d eb ca df gb d cd bg ac d be d aa b dc d eb d dc gb df fd bg fd d be d aa b cd d b d dc eb ca fd b gb d df bg bg ac cd gbe be d d bb b dc dc ebe eb d fd gb gbdf df bg bgd cd ebe ba d bb ba aa bg b d gb gb df bb bb cd ebe abg d gb dbe aa bg dcb d ebe deb dfbb dfgb fdbg fd bg gb d be bb cd b eba d b gbdc aa eb bgfd d gb ebe d ac bg bb ca d be bg d df b gb dc d eb bb fd df gb ebe df fd bg gb cd d be bg d cd bebe ac d b d aa df d cd ac d d aa df d fd df df fd fd d d aa ca d d dc aa fd d d ac ca d d ddc fd ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. I've examined the entire image, and there are zero intersections present.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0909ffff c,#6363ffff d,#ff9c9cff e,#f7d5ddff f,#ff3434ff g,#ababffff ``` ```image d daaf daafe daafe daafe daafe daafe daafe daafe daafe daafe daafe daafe daafe daafe eafe ae ff ea ae ff ea ae ff a ae ff a ad da a ad da a ad da a ad da a ad da a c ff bb ea gbg a bb ff gbc ea bb ae gbc ff bb ea ebc ae cbe ff bb ea cbg ae bb ff cbg a bb ae gbg df bb a gbc ad bb da ebc a cb ad bc da cbe a bb ad cbg da bb a gbg ad bb e gbg bb gbbc ecbbbbcg gcbbbbcg gcbbbbce gbbbbbg ecbbbbcg gcbbbbcg bbbce ``` <!-- end of image -->
I have a feeling there might be some intersections in this image. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#0708fdff b,#fb0a0aff c,#4f47dbff d,#b1d7b1ff e,#939de4ff f,#9ac696ff g,#e36f62ff ``` ```image ffffffffffffffffffffffffffffffffffbabfffffffffffd dddddddddddddddddddddddddddddddddfaaebbdddddddddf dddddddddddddddddddddddddddddddddcadadgbbdddddddf ddddddddddddddddddddddddddddddddbaddacddgbgdddddf dddddddddddddddddddddddddddddddgaedddaddddgbgdddf dddddddddddddddddddddddddddddddcaddddccdddddbbgdf ddddddddddddddddddddddddddddddbaddddddadddddddbbf dddddddddddddddddddddddddddddgaeddddddcadddddddfbb ddddddddddddddddddddddddddddfcaddddddddaddddddddfdbb ddddddddddddddddddddddddddddbadddddddddeadddddddf gbb dddddddddddddddddddddddddddbaeddddddddddaeddddddf gbg ddddddddddddddddddddddddddgcaddddddddddddaddddddf bbg ddddddddddddddddddddddddddbadddddddddddddacdddddf bbd dddddddddddddddddddddddddbaeddddddddddddddadddddf bb ddddddddddddddddddddddddgcadddddddddddddddccddddf bb ddddddddddddddddddddddddbadddddddddddddddddaddddf dbb dddddddddddddddddddddddbaedddddddddddddddddcadddf gbg ddddddddddddddddddddddbcadddddddddddddddddddadddf gbg dddddddddddddddddddddfbaddddddddddddddddddddeaddf bbg dddddddddddddddddddddbaedddddddddddddddddddddaedf bbd ddddddddddddddddddddbcadddddddddddddddddddddddadf bb dddddddddddddddddddgbaddddddddddddddddddddddddacf bb dddddddddddddddddddbacdddddddddddddddddddddddddaf gbb ddddddddddddddddddbcaddddddddddddddddddddddddddcc gb dddddddddddddddddgbadddddddddddddddddddddddddddda ddddddddddddddddfbacddddddddddddddddddddddddddddca ddddddddddddddddbeadddddddddddddddddddddddddddddfa dddddddddddddddbgaddddddddddddddddddddddddddddddfea ddddddddddddddgbacddddddddddddddddddddddddddddddf ae ddddddddddddddbeadddddddddddddddddddddddddddddddf a dddddddddddddbgaddddddddddddddddddddddddddddddddf ae ddddddddddddgbacddddddddddddddddddddddddddddddddf a ddddddddddddbeadddddddddddddddddddddddddddddddddf cc dddddddddddbfaddddddddddddddddddddddddddddddddddf a ddddddddddbbacddddddddddddddddddddddddddddddddddf ea dddddddddfbeadddddddddddddddddddddddddddddddddddf a dddddddddbdaddddddddddddddddddddddddddddddddddddf ea ddddddddbgacddddddddddddddddddddddddddddddddddddf ae dddddddgbeadddddddddddddddddddddddddddddddddddddf a dddddddbdaddddddddddddddddddddddddddddddddddddddf ae ddddddbgccddddddddddddddddddddddddddddddddddddddf a dddddgbfadddddddddddddddddddddddddddddddddddddddf cc ddddfbdaddddddddddddddddddddddddddddddddddddddddf a ddddbfccddddddddddddddddddddddddddddddddddddddddf ea dddbgdadddddddddddddddddddddddddddddddddddddddddf a ddgbdafdddddddddddddddddddddddddddddddddddddddddf ea ddbdcaddddddddddddddddddddddddddddddddddddddddddf ae dbgdadddddddddddddddddddddddddddddddddddddddddddf a gbdaedddddddddddddddddddddddddddddddddddddddddddf ae bdcaddddddddddddddddddddddddddddddddddddddddddddf a bffadddddddddddddddddddddddddddddddddddddddddddddf cc ae a ca ea a a ae a ae a ae a cc a ea a a ae a ae a cc a ea a a ae a ae a cc a ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0705fdff b,#fb090cff c,#4d4cfeff d,#feb3b4ff e,#a5a3fdff f,#7c0f91ff g,#fd5d5fff ``` ```image bbgd gaabbg gfaafbbbg dfaaaaegbbbd baaecac dbbbbd gfac aae dbbbbd dfaae eaa gbbbgd baae aae gbbbg gfac eaa gbbbg dfaae cac dgbbbg dbaac eaa dgbbbd bfaa cac dbbbbd gbaae aae dbbbbd dbaac cac gbbbg bfaa aae gbb gbaae eaa g dbaac aae bfaa eaa gbaae cac gbaac eaa dbfaa cac bbaae aae gbaac cac dbfaa aae bbaae eaa gbaac aae dbfaa eaa dbbaae cac bbaac eaa gbfaa cac dbbaae aae bbaac cac gbfaa aae dbbaae eaa bbaac aae gbfaa eaa gbbaae cac dbbcac eaa bbfaa cac gbbaae aae dbbcac cac bbfaa aae gbgaae eaa dbbcac aae dbbfaa eaa bbgaae cac gbbcac eaa dbbeaa ca bbgaae a gbbcac c dbbeaae bbgaae gbgcac gbbeaae dbbdaae bbgcac gbbeaae dbbdaac bbgcaa gbbeaae dbbdaac dbbdcaa bbgeaae gbb aac dbbdcaa bbgeaae gbb aac dbbdcaa bbgeaae gbg aac gbb caa dbbdeaae bbg cac gbb eaa dbbdeaae bbg cac gbb eaa dbbd aae dbbd cac bbg eaa gbb aae dbbd cac bbg eaa gbb aae dbbd cac bbg eaa gbg aae gbb cac dbbd eaa bbg aae gbb cac dbbd eaa bbg aae gbb cac dbbd eaa dbbd aae bbg cac gbb eaae dbbd aae bbg cac gbb eaae ``` <!-- end of image --> The lines within area A do not intersect. The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0707feff b,#fe0809ff c,#4f4ffeff d,#ffb0b0ff e,#aca9fcff f,#750f98ff g,#fe5b5cff ``` ```image d gab daaebb fc a dbb ba ae gbg dae a gbg fa cc bbd ba a bbd gae ea bb fa a dbb ba ea dbg bae ae gbg dfa a gbd ba ae bbd bae a bb gfa cc dbb ba a dbb bae ea gbg gfa a gbg dba ea bbd bae ae bbd bfa a bb dba ae dbb bae a dbb bea cc gb gba a bae ea bea a bga ea dbac ae bea a bda ae gbac a bea cc bda a ggac ea dbea a b a ea bgcc ae dbea a b a ae bdcc a gb a cc b a a b cc ea bg a a db a ea b cc ae bd a a gb ae ac b cc a bd a cc ae a ca ea a a ae ea ae a ac a cc a ea a ea ae a ac a cc a ea a ea ae a cc a cc a ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#f85552ff b,#0808feff c,#fca6a5ff d,#5f64f6ff e,#bbbbfeff f,#aed4adff g,#fe0807ff ``` ```image ag cgaa g g gc cg ag g g cg g gc ga g cg ga g g gc aa aa g cg cg g g gc cg ag gc g g g gc ga g cg aa g g gc cg ag g cg cg g gc ga g cg gc g g gc aa ga ffgfffffffffffff cg ffagffffffffffff g fffgffffffffffff gc fffcgfffffffffff ag ffffgfffffffffff g fffffgffffffffff g fffffgafffffffff ga ffffffgfffffffff cg ffffffgaffffffff eedd g fffffffgfffdddbbbbbbbbbbbbbddd gc eeedddbbbbbbbbbbbbddddfe aa ebbbbbbbbbdddeeffffffffgfffffff cg b ffffffffagffffff g b fffffffffgffffff gc be ffffffffffgfffff ag be ffffffffffgcffff g be fffffffffffgffff g bd fffffffffffgafff ga bd ffffffffffffgfff cg bd ffffffffffffaaff g bb fffffffffffffgff bb cg db g db cg db gc eb g eb gc eb g eb aa b g be cg be g be cg be gc bd g bd gc bd g bb aa bb g db ag db g db cg eb g eb g eb gc b g b aa be g be aa be g ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff4444ff b,#0504fdff c,#fe8989ff d,#5858ffff e,#a7a6feff f,#ffcacaff g,#fe0506ff ``` ```image aga fggf aga fggf cga ggc cgg ggc cgg aga fggf aga fggf cga ggc cgg ggc cgg agc fggf aga eeeeeeddddd eeeeedddddbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbdddddeeee bbbbbbdddddeeeeeggc cgg ggc cgg agc fggf aga fggf aga fggf cga ggc cgg agc fggf aga fggf aga fggf cga ``` <!-- end of image --> Success! This area contains an intersection point! The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff3f3fff b,#0808ffff c,#ff8383ff d,#6363ffff e,#b9b9ffff f,#ffc9c9ff g,#ff0505ff ``` ```image f ag fgca g g gc cg cg gf fg fg gf gf ga g cg ac g g gf aa aa g fg cg g g gc fg cg gf g g gf gc aa g cg aa g g gf cg aa g fg fg g gf gc fg cg gc g g gf aa aa g fg ca g g gc fg ag gf fg fg g gc gc g cg ac eedd g g eedddbbbbbbbbbbbbddd gf eeedddbbbbbbbbbbbbdddee aa ebbbbbbbbbdddee g fg b cg g b gf gc be fg cg be gf fg be g gf bd ac gc bd g cg bd aa a bb g bb cg db g db fg db gf eb g eb gc eb g eb aa b g be cg be g be fg be gf bd fg bd gc bd g bb aa bb g db ca db g db fg eb gf eb fg eb gc b g b ac be g be ca be g ``` <!-- end of image -->
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0706fcff c,#f2a39dff d,#4248f2ff e,#afd6afff f,#f2544eff g,#8796dfff ``` ```image g db ca db aca db ca ac bb a a bd a ff bd ac a bg a ca bg bg ac ac bg bd a a b bd ff ca b bb a ac gb db ff a gb gb a ff gb gb ca a db b a ca db bg eeeeeeeeeeeecaeeeeeeeeeeeeeeeafeeeeeeeeeeeee db bg eeeeeeeeeeeeaeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeebb bd eeeeeeeeeeeeaeeeeeeeeeeeeeeeeefaeeeeeeeeeeebd bd eeeeeeeeeeeaceeeeeeeeeeeeeeeeeeaceeeeeeeeebd bb eeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeaeeeeeeeebde dbeeeeeeeeeeafeeeeeeeeeeeeeeeeeeeeffeeeeeebgee dbeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeaeeeeebgeee gbeeeeeeeffeeeeeeeeeeeeeeeeeeeeeecaeeebgeeee egbeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeafgbeeeeee eeebgeeeffeeeeeeeeeeeeeeeeeeeeeeeeeabeeeeeee eeeebgeeaeeeeeeeeeeeeeeeeeeeeeeeeegbaeeeeeee eeeeebdcaeeeeeeeeeeeeeeeeeeeeeeeedbeaceeeeee eeeeeebbeeeeeeeeeeeeeeeeeeeeeeeedbeeeaeeeeee eeeeeecbbeeeeeeeeeeeeeeeeeeeeeedbeeeeffeeeee eeeeeeaedbeeeeeeeeeeeeeeeeeeeebbeeeeeeaeeeee eeeeeeaeedbeeeeeeeeeeeeeeeeeebbeeeeeeecaeeee eeeeeaceeegbeeeeeeeeeeeeeeeebdeeeeeeeeeafeee eeeeeaeeeeegbeeeeeeeeeeeeeebdeeeeeeeeeeeaeee eeeeafeeeeeeebgeeeeeeeeeeebdeeeeeeeeeeeefaee eeeeaeeeeeeeeebgeeeeeeeeebgeeeeeeeeeeeeeeaee eeeffeeeeeeeeeebdeeeeeeebgeeeeeeeeeeeeeeeeae eeeaeeeeeeeeeeeebdeeeeebgeeeeeeeeeeeeeeeeeaf eefaeeeeeeeeeeeeebbeegbeeeeeeeeeeeeeeeeeeeea a dbgb ca ca db ac a a a fa ac a a a ac ff a a ff ca a ac ff a a fa ca a a a ca af a a a ca ac ac a a ac ff a a ff a a af ff a a ca ca ac a a ca ff a a a a ac af a a fc a ff a cf a ca a ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0708ff b,#0605feff c,#ffaeaeff d,#3f3dfcff e,#8382feff f,#fe5758ff g,#c3c3feff ``` ```image faf faa caa aaf faf caa caa faf faf aac aac caa g faf aaf gb aac caac ebb caa faa ebbe aac aac ebbe g caa caa ebbe bg aac faf dbbe bbe caa aac dbbg ebbe faf faa dbbg ebbd caa aaf dbbg ebbd faf caac dbbg gbbd aac faa gbbbg gbbdg faf aac gbbd gbbbg aac caagbbd dbbg faf fabbd dbbg aac ebbd dbbe caa ebbda ebbe aac ebbeaaf ebbd caa ebbe caac ebbdfac ebbe faf gbbba dbbe aac gbbbg dbbg caa cabbbg dbbg faf fafdbbg dbbg caac aac dbbg dbbg faa faf dbbe gbbbg aaf aac ebbe gbbd caac faf ebbd gbbd faf aac ebbd gbbd aac caa gbbd gbbd caa aac gbbdg ebbd faf caa gbbbg ebbe caac faf dbbg ebbe faa caa dbbg ebbe aaf faf dbbe dbbe caac caa ebbe dbbg faf faf ebbd dbbg aac aac ebbd dbbg caa faf gbbd dbbg fa aac gbbdg gbbbg ca caa gbbbg gbbd f ``` <!-- end of image --> Oh my, look at that! It's an intersection in area A! I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0908fdff c,#ff8383ff d,#5656ffff e,#ffc5c5ff f,#fd3d3fff g,#afafffff ``` ```image g e db ca db aca bb ea ae bb a a bd ea ff bd ae a bd a ea bg bg ac ac bg bd a a bg bb fc ca gb bb a ae gb db cf a gb db a ff db gb ca a db gb a ea db bg ea ac bb bg ae a bb bd a ca bd bd ae ae bd bb a a bd db fc ff bg db a a bg gb fc ea bg gb a acgb bg cf fb bg a gba bdca db ae bb db a ebb db ff aedb bb a a db bb ea ae gb bd ac a gb bd a fc bg bd ca a bg bg ae ff bd bg a a bd bg ff cf bb gb a a dbgb ea ea db ac a a ea cf ae ae a ea ac ff a a fc ea a ac cf a a cf cf ae a ea ea fc ae a ea ca ae ae a a fc ff a ae fc ea a fc cf a a ca ca ae a a ea ff ae a a ea ae ac a a fc a ff a cf a ea a ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fb080aff c,#fdb0b0ff d,#4b4cffff e,#aed4aeff f,#969fecff g,#f45a55ff ``` ```image f da da da da da da da da da aa aa aa ad ad ad ad ad ad ad ad ad ad af af f af dad af dad af dad af dad af dad af dad af fad eeeeeeeeeeeeeeeeeeeeee af faa eeeeeeeeeeeeeeeeeeeeee a faa eeeeeeeeeeeeeeeeeeeeeea faa eeeeeeeeeeeeeeeeeeeeea faaeeeeeeeeeeeeeeeeeeeeae faaeeeeeeeeeeeeeeeeeaee efaaeeeeeeeeeeeeeeaeee eeefaaeeeeeeeeeefaeeee eeeeefaafeeeeeefaeeeee eeeeeeeeaafeeefaeeeeee eeeeeeeeeeaabbaeeeeeee eeeeeeeeeebbaabeeeeeee eeeeeeegbbeeeeebgeeeee eeeeegbbeeeeeeeebgeeee eeegbbeeeeeeeeeeebbeee ebbgeeeeeeeeeeeeeegbee bbgeeeeeeeeeeeeeeeeegbe cbbceeeeeeeeeeeeeeeeeeeeebc cbb eeeeeeeeeeeeeeeeeeeeeebc gbb eeeeeeeeeeeeeeeeeeeeee bg gbg eeeeeeeeeeeeeeeeeeeeee bb bbg eeeeeeeeeeeeeeeeeeeeee gb cbbc cb cbbc cbc gbb bc gbg bg bbg bb c gb cb cbc bg bg bb gb cb bc bg bg bb gb cb bc bg bb bb gb cb b ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706feff b,#fe0405ff c,#ff8e8fff d,#5048f6ff e,#fdcdcfff f,#d2d2feff g,#f93e44ff ``` ```image f fa faa d faaa aad faaaf daaadf faaaf fdaaadf faaaf fdaaadf faad fdaaadf faad fdaaadf faad fdaaadf faad fdaaadf faad fdaaadf faad fdaaadf faad fdaaadf ccfaad fdaaadgbgaad edaaaaaade egbbbdaaadbbe egbbbge fddegbbe cgbbbge gbbc cbbbbce gbbc ecbbbbc cbbg egbbbgc cbbge egbbbge ebbbe cgbbbge egbbe cgbbbge gbbc cbbbbc gbbc bbbc cbbg gc cbb eb e ``` <!-- end of image --> An intersection is present within area A. After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0808feff b,#fe0505ff c,#ff8484ff d,#5a5affff e,#ffc8c8ff f,#c3c3ffff g,#f93b41ff ``` ```image d da da da da da da da da aa aa aa aa aa aa ad ad ad ad ad ad ad ad ad ad f ad dad af dad af dad af dad af dad af dad af daa af daa af daa af faa af faa faf faa fa faaf fa faaf fa faaf fa faaf fa faagga ebbaabe cbbe bc cbb bg gbg bb gbc gb ebbc cb ebbe ebe cbbe bc cbg bg gbg bb bbc gb ebbc cb ebbe ebe cbb bc gbg bg gbg bb e gb cb ebe bc bg bb gb cb ebe bc bg gb gb eb ebe bc bg gb cb ebe eb ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#0909feff b,#fe0909ff c,#5c5efaff d,#f15f59ff e,#b9b9feff f,#ffb4b4ff g,#aed5aeff ``` ```image bb fbfb b db b bf bd b db fb fb bd b bf bf b bd fb db bd fb bf b b bf db bd bd db b b b b db bf bf db b fb fb b db bf bf bd ea b db aca fb fb cc ca bd b a aa bf bf ae ac b bd ca ac fb db a ae bd fb ae ae bf b ca a b ggggggggggggggggggg bf a ea dbggggggggggggggggggg db ae ea bdgggggggggggggggggg fb ea ca bgggggggggggggggggg b a ca gbggggggggggggggggg bf ac aa gdbgggggggggggggggg bd ea ac ggbdggggggggggggggg db a ae gggbggggggggggggggg fb ac ae ggggbgggggggggggggg b ea a ggggdbggggggggggggg bf a a gggggbdgggggggggggg bd cc ea ggggggbgggggggggggg db a ea ggggggdbggggggggggg fb ae ca gggggggbbgggggggggg b ca ca ggggggggbgggggggggg a ac gggggggggbggggggggg ae ac gggggggggdbgggggggg ca ae ggggggggggbdggggggg a aegggggggggggbggggggg ae aggggggggggggbgggggg ea agggggggggggdbggggg a gagggggggggggbdgggg ac gcagggggggggggbgggg ea ggcagggggggggggbggg a gggaaggggggggggdbgg ac ggggaaggggggggggbdg ea gggggacggggggggggbg a ggggggacggggggggggb cc gggggggaggggggggggd a ggggggggagggggggggg ae gggggggggaggggggggg ca ea a ca ae ca ca aa a ac ae ac ea ae a ae ac a ea ea a e ac ea a cc a ae ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0707ffff b,#ff0404ff c,#afafffff d,#ff7d7dff e,#ff3838ff f,#ffc2c2ff g,#4d4dffff ``` ```image f e bd bbf dbb ebe fbbd fbbf dbb ebe fbbd dbbf ebe ebe fbbd dbbf ebe bbd fbbf dbbf ebe bbd fbbf dbb ebe fbbd fbbf dbb ebe fbbd dbbf ebe ebe fbbd dbbf c ebe a bbd ag fbbf aag dbbf caag ebe caag bbd caac fbbf caac dbb gaac ebe gaac fbbd gaa fbbf gaa dbb aag ebe aag fbbd caag dbbf caag ebe caac eb caac fb gaac d gaac gaa gaa aag ``` <!-- end of image --> The evidence suggests that this is not an intersection point in area A. Zero, Nada.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#ff0a0aff c,#8585ffff d,#ff6464ff e,#ccccffff f,#ffbdbdff g,#4040ffff ``` ```image bb dbfb b db bf bf bd b db fb fb bd b bf bf b bd fb db bd fb bf b b bf db bd bd db b fb fb b db bd bd db b fb fb b db bf bf bd ea b db aca fb fb gg ga bd b ea gg bf bf ae ag b bd gg ac fb db a ae bd fb ae ae bf b ca a b bf a ea db bb ac ca bd fb ca ca b b a ga fb bf ac ag db bd ea ag bd db a ac b fb ac ae fb b ea ae db bf a ea bf bd gg ea b db ea ca fb fb ae ca bd b gg ga bf a ag b ae ac fb ca ac bd a ae bf ac ae b ca ea db a ea bd ac ca b ea ga fb a ga db gc ag bd ea ac b a ac fb gg ae d ea a ae ea gg ea a ca ae ga ca gg a ag ac ac ca ae a ae ac a ea ea a e gg ea a gg ea ae ``` <!-- end of image -->
I'm optimistic that I'll find some intersections in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#df7364ff b,#4c54efff c,#b1d7b1ff d,#8d99e7ff e,#fb0b0aff f,#090afcff g,#9ac796ff ``` ```image a cggggggggggggggggggggggggggggggggggggggggggggggggggggae gcccccccccccccccccccccccccccccccccccccccccccccccccccgec gcccccccccccccccccccccccccccccccccccccccccccccccccccecc gccccccccccccccccccccccccccccccccccccccccccccccccccegcc gccccccccccccccccccccccccccccccccccccccccccccccccceaccc gcccccccccccccccccccccccccccccccccccccccccccccccceacccc gccccccccccccccccccccccccccccccccccccccccccccccceeccccc gccccccccccccccccccccccccccccccccccccccccccccccaecccccf gcccccccccccccccccccccccccccccccccccccccccccccaecccccbf gccccccccccccccccccccccccccccccccccccccccccccgecccccdfc gcccccccccccccccccccccccccccccccccccccccccccceccccccfcc gcccccccccccccccccccccccccccccccccccccccccccegcccccfccc gcccccccccccccccccccccccccccccccccccccccccceacccccfdccc gccccccccccccccccccccccccccccccccccccccccceecccccfbcccc gcccccccccccccccccccccccccccccccccccccccceecccccffccccc gcccccccccccccccccccccccccccccccccccccccaecccccbfcccccc gccccccccccccccccccccccccccccccccccccccaecccccdfccccccc gcccccccccccccccccccccccccccccccccccccgeccccccfcccccccc gccccccccccccccccccccccccccccccccccccceccccccfccccccccc gcccccccccccccccccccccccccccccccccccceacccccfdccccccccc gccccccccccccccccccccccccccccccccccceacccccfbcccccccccc gcccccccccccccccccccccccccccccccccceecccccffccccccccccc gccccccccccccccccccccccccccccccccceecccccbfcccccccccccc gccccccccccccccccccccccccccccccccaecccccdfccccccccccccc gcccccccccccccccccccccccccccccccaeccccccfcccccccccccccc gccccccccccccccccccccccccccccccceccccccfccccccccccccccc gccccccccccccccccccccccccccccccegcccccfdccccccccccccccc gccccccccccccccccccccccccccccceacccccfbcccccccccccccccc gcccccccccccccccccccccccccccceacccccffccccccccccccccccc gccccccccccccccccccccccccccceecccccbfcccccccccccccccccc gccccccccccccccccccccccccccaecccccdfccccccccccccccccccc gcccccccccccccccccccccccccaeccccccfcccccccccccccccccccc gccccccccccccccccccccccccgeccccccfccccccccccccccccccccc gcccccccccccccccccccccccceccccccfdccccccccccccccccccccc gcccccccccccccccccccccccegcccccfbcccccccccccccccccccccc gcccccccccccccccccccccceacccccffccccccccccccccccccccccc gccccccccccccccccccccceacccccbfcccccccccccccccccccccccc gcccccccccccccccccccceecccccdfccccccccccccccccccccccccc gcccccccccccccccccccaecccccgfcccccccccccccccccccccccccc c gccccccccccccccccccaeccccccfccccccccccccccccccccccccccc eeea gcccccccccccccccccgeccccccfdccccccccccccccccccccccccccc aeeea gccccccccccccccccceccccccfbcccccccccccccccccccccccccccc aeeea gccccccccccccccccegcccccffccccccccccccccccccccccccccccc eeeec gccccccccccccccceacccccbfcccccccccccccccccccccccccccccc aeeea gcccccccccccccceacccccdfccccccccccccccccccccccccccccccc aeeea gccccccccccccceecccccgfcccccccccccccccccccccccccccccccc aeeeacccccccccccaeccccccfccccccccccccccccccccccccccccccccc aeeeegccccccaeccccccfdccccccccccccccccccccccccccccccccc gcccaeeeaccgeccccccfbcccccccccccccccccccccccccccccccccc gccccccgaeeegcccccffccccccccccccccccccccccccccccccccccg bf df f f fd fd fb bf ff bfd dfb ff ff bfd dfb dff ff ffd bfd dfb ff ff bfd dfb dff ff ffd bfb fb ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff7575ff b,#5050ffff c,#ffbdbdff d,#acacffff e,#ff0404ff f,#0707feff g,#ff3535ff ``` ```image a ce cee ceea geg geg geec aeec aeec ceea ceea ceeg geg geg geec aeec aeec b ceea bf ceea dff ceeg dffd geg dffb geg ffb geec ffb aeec bff aeec bffd ceea dffd ceea dffd ceeg dffb geg ffb geg ffb aeec bff aeec bffd aeec dffd ceea dffd ceea dffb eeg ffb geg ffb gee bff aeec bffd aeec dffd ceec dffd ceea dffb ceea ffb eeg ffb geg bff gee bffd aeec dffd aeec dffd ceea dffb ceea ffb ceea ffb geg bff geg bffd geec dffd aeec dffd aeec dffb ceea ffb ceea ffb ceeg bff geg bffd geg dffd geec dffd aeec dffb aeec ffb ceea ffb ceea bff ceeg bffd geg dffd geg dffd geec dffb aeec ffb aeec ffb ceea bff ceea bffd ceeg dffd geg dffd geg dffb geec ffb aeec ffb aeec bff ceea bffd ceea dffd eeg dffd geg dffb gee ffb aeec ffb aeec bff ceec bffd ceea dffd ceea dffd eeg dffb geg ffb gee ffb gac aeec bff eeeegac aeec bffd cageeeeegac ceec dffd caeeeeeeac ceea dffd cageeeeegac ceea dffb cageeeeegaceeg ffb cageeeeeg ffb ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff5757ff b,#2e2effff c,#ffaeaeff d,#b1b1ffff e,#ff0707ff f,#0303ffff g,#6a6affff ``` ```image c ce ce e ec ec ea ae ae b ce gf e df e f ec f ec fd ea fg ae bb ae gf ce df e f e f ec fd ea fg ea bb ae gf ae df ce f e f e fd ec fg ea bb ea gf ae df ce f ce f e fd e fg ec bb ea gf ea df ae f c ce f eeeac ce fd ceeea e fg aeeec ec bb caeeac ec gf ceeea ea df aeeec ee f aeeec ae f ceeeac ce fd ceeea ce fg aeee bb gf df f f fd fg bb gf bf gfg dfb ff ffd bfd gfg dfb ff bfd gfg dfb ff ffd bfd gfg dfb ff bfd gfg fb ``` <!-- 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,#7077e9ff b,#f80c0bff c,#d56959ff d,#0c0bfbff e,#b1d7b2ff f,#a4cba1ff g,#eef4f1ff ``` ```image a ddd adda gdddg adda gdddg adda gddd adda gdda adde gdda addg gdda addg adda addg gggggggggggggggggggggggggggggggggggaddaggggggggggggggggggggggg gffffffffffffffffffffffffffffffffffadffffffffffffffffffffffffffg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedebbbbbbbbccccccccccccccfffffgg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedabcfffffcccccccccccccbbbbbbbbbbbbbbbbbbbbbbbbb gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbceeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcbeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbfeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeeedcceeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeefdbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeeecdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeefdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeeebdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeeebadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeecbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeeebdaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeeebfdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeeebcdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeeecbadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeefbedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeeebfadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeeebcedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeeebbedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeeecbefdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeefbeedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeeebfeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeeebceedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeeecbeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeefbeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeeebeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeeebceeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeeebbeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeeecbeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeefbeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeeebfeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeeebceeefdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeeecbeeeedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeefbeeeeadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfeebeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfebceeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gfbbeeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gcbeeeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg gbeeeeefdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefg bffffffdfffffffffffffffffffffffffffffffffffffffffffffffffffffffg ad d da gd dg ad d ad d da gd dg ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#514bf8ff b,#fd0506ff c,#fc7f81ff d,#0805fcff e,#a3a3feff f,#f73c43ff g,#fdc2c3ff ``` ```image addae ede dd ada ada edd dde fbbbbbbbffffffffffffcccccccccccccccggggggggggggg add cbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ddecbbggggggggggggggccccccccccccccfffffffffffffbbbbbb adagbbc eddgbbf ddafbb eddcbbg dabbc edfbf aabb edbbg ddbc eddf ddf addb eddbg eddf ddf addg gddc dda fdd dda gdd gbde fbde cbdd gbfdd bbdde fbadd cbbdde gbbada bbcdd bfdda cbgdde gbbada bbcdde fbf da cbbged cbbg de gbbc ed bbf dd fbb ada bbc ada gbc edd ff dde cb ada cbb dde gbbc ada bbf edd fbf dde cbbg edd gbbc da fbf ede bb aa cbg ed gbc dd bb add fbf dde cbbg ada gbbg edd fbf edd fbb dde cbbg ada gbbc edde bbf ada bf dd cbg de gbg ed gbb de fbb edd cbbg ada gbbc edd bbf dde fbf add cbbg dde gbbg ada bbc edd bf dde cbg dde gbb ada bbc dde fbf da ``` <!-- end of image --> As I suspected, there's an intersection within area A. After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#5146f4ff b,#fd0709ff c,#fe9797ff d,#0606feff e,#9e9efeff f,#fe5050ff g,#eed5e6ff ``` ```image e add edde addg edde dda edde gdda edde gdda adde gdda adde edda addg edda addg edde edg d aa d bbbbbfffffffffccccccccgggggg debcggggcccccccccffffffffbbbbbbbbbbbbbbbbbbbbbb edbf dcb aab dbg dac gdb db ed dg aa fd gde bd bdg fad cbd bda bgd bfde fbed gb d b aa bc d ff de cb gd gb dg bg ed bf d fb aa gb d b de bc ed bf d cb aa gb d bg de bc gd fb dg gb ed b d bc aa bf d cb de gb gd bg dg ed d da d de ed d aa d de gd dg ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. There's definitely not a single intersection on the image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff5353ff b,#0202ffff c,#9e9effff d,#ff0505ff e,#ffa9a9ff f,#cfcfffff g,#4b4bffff ``` ```image e addde eaddae eddda eddda addde eaddde eaddae eddda eddda adda adde edda add edde add edde dda adde dda adde edda add edde ada edde dda adde ed bc bc bc bc bf bf bf bf bf bf bf bf bf bf bf fbf fbf fbf fbb fb cbbf fb gbg fb bbg fb fbbc fb cbbf fb gbg fb bbg fb fbbc fb cbbf fb gbg fb bbg cb fbbc cb cbbf cb gbg cb bbg cb fbbc cb cbbf cb gbg cbg ``` <!-- end of image -->
This is the image I'm working with. The goal is to count the intersections. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#5461e2ff b,#d36b63ff c,#0808fbff d,#eff5f0ff e,#b1d7b2ff f,#f90c0bff g,#a3cca4ff ``` ```image b bfdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd efbgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg dgffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeebfbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeebfgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeefbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg ddgeeeeeeeeeebfgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cccgeeeeeeeeeegfbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dacccgeeeeeeeeeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeacccgeeeeeeebfgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeaccageeeeegfbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeaccaeeeeeffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeaccaeeebfgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeaccaegfbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeaccaffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeaccbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeegcccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeefcccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeffgcccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeebfbegcceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeecaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfgecgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbeceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffgceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefcgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccgeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecbbeeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecffeeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegcffeeeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacbfgeeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecagfbeeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgeffeeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeceeffeeeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceebfgeeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceegfbeeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeffeeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgeeeffeeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeebfeeeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeegfbeeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeefbeeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeffeeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgeeeeebfeeeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeeeebfgeeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeefbeeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeffeeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecgeeeeeeebfeeeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeceeeeeeeebfgeeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceeeeeeeegfbeg dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeeeeeeeeffg dgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcagggggggggff ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcddddddddddbfd dc dfb ec ff ac f ca cd dc ac ca ce cd dc ac ca cd dc ec ac ca c ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5d5bfdff b,#f83137ff c,#0806fcff d,#ffc2c2ff e,#b3b3feff f,#fe0505ff g,#fa767aff ``` ```image fb ffd ffb dffd dbfg dffd dbfg ffb dbfg gfb ffb bfb ffb dffg bfg e dffd cce bfg cccca ffbd eaccca bfg eacccae gfb acccae fff eaccca gfb ccccae fff eacccae dbfg accccae fffd eacccae dbff eacccce gfb accccagfbd eaccccg acccca ecccae gbccccae ffbccccae bfgeacccce fffd eccc dbff ece gfb ace bff cca gfb ecce dffd ecc bff ac gfb ca fffdcce dbffacc gfbca ffbca dbfcce fcc dfca dbca ccg cccd ccfd ecbfg ccfbd ccaffd eccbff acegfb cc fff ccadbfg ece ffb ac dfff ca dbfd cca bfg ace dffd ac dbfd ca ffg ecce dfbd acc dffd ac bffg eca dfbd cce dffd acc bff ca gfbd ece fff cce bfg acc gfg eca dffd ece dbfg cce ffg cca dffd ecc dbfd ece ffg cc dfbd cca dffd ecc bff ac dfb ca ff ``` <!-- end of image --> I observe an intersection inside area A. The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5c5bfeff b,#ff4444ff c,#0907fdff d,#ffa2a2ff e,#b8b8feff f,#fd0506ff g,#930d78ff ``` ```image d bf dfd fb bf dfd fb bf dfd fb ff e df ccce fb eccce ff ecca df ecca fd acca ff acca bf acca fd accaff accg acce fccce bfeccce dfd ecc fb ac bf ca dfd ce fb c ffec bfac dfca fce fc gc cc cgd cfb ecbf acdf ca fd ce fb c bf ec df ac fd ca fb ce ff c bf ec dfd ac fb ce ff c bf ec dfd ac fb ca ff ce bf c df ec fd ac fb ca bf ce df c fd ec fb ac b ce c ec ac ca ce c ec ac ca ce c ec ac ce c ``` <!-- end of image -->
I'm on the case! Let's uncover any intersections hidden in this image. My final answer is: no intersections found.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#4646ffff b,#ff4141ff c,#ff0303ff d,#ff9595ff e,#8c8cffff f,#0404ffff g,#f0dbeaff ``` ```image gg gdbcccccb dbccccbd cc dbccccbd dcg dbccccbdg gcd dbccccbdg cb dbccccbdg bc bdg dcg gcd cb bc dcg gcd cb bc dcg gcd cc bc dcg cb cc bc gcd cb cc dcg gcd cb bc dcg gcd cb bc dcg gc afa afa effa afa effa afa effag afa effag afa effag afa effag afa efffg afa efffg efa efffe efa gfffe efa gfffe efa gaffe efa gaffe efa gaff efa g efa efa ff ``` <!-- end of image -->
I have an image in front of me. I need to determine if there are any intersection segments. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#fc0706ff b,#0607fcff c,#e59a8dff d,#919de1ff e,#e6574bff f,#4e4ae6ff g,#afd6afff ``` ```image d db db b b b b bd bd bf bf ggggggggggggggggggggggggbbggg gggggggggggggggggggggggbbgggg ggggggggggggggggggggggfbggggg gggggggggggggggggggggfbgggggg ggggggggggggggggggggfbggggggg gggggggggggggggggggdbgggggggg ggggggggggggggggggdbggggggggg ggggggggggggggggggbgggggggggg gggggggggggggggggbggggggggggg ggggggggggggggggbdggggggggggg gggggggggggggggbdgggggggggggg ggggggggggggggbfcccccceeeeeeeeeeeee aaaaaaaaaaaaaaaaaaaaaabfaaaaeeeeeeeeeecccccc a ggggggggggggbfggggggggggggggg ee gggggggggggbbgggggggggggggggg a ggggggggggbbggggggggggggggggg ac gggggggggfbgggggggggggggggggg ca ggggggggfbggggggggggggggggggg a gggggggfbgggggggggggggggggggg ac ggggggdbggggggggggggggggggggg ca gggggdbgggggggggggggggggggggg a gggggbggggggggggggggggggggggg ae ggggbgggggggggggggggggggggggg a gggbdgggggggggggggggggggggggg a ggbdggggggggggggggggggggggggg ee bd a bf ac bf gggggggggggggggggggea bf gggggggggggggggggggag fb ggggggggggggggggggaeg fb gggggggggggggggggcagg fb gggggggggggggggggaggg db ggggggggggggggggaeggg db ggggggggggggggggagggg b gggggggggggggggaggggg b ggggggggggggggeaggggg db ggggggggggggggagggggg dbbf gggggggggggggacgggggg fbb ggggggggggggeagggggggfbbd ggggggggggggagggggdbbf gggggggggggaeggdbbbgg ggggggggggcagfbbdgggg ggggggggggfbbfggggggg gggggggdbbfgggggggggg gggggbbbdaggggggggggg ggfbbdggagggggggggggg dbbfggggeagggggggggggg dbbfgggggggaggggggggggggg fbbd ggggggacggggggggggggg d gggggeagggggggggggggg gggggaggggggggggggggg ggggaeggggggggggggggg gggcagggggggggggggggg gggaggggggggggggggggg ggaeggggggggggggggggg ggagggggggggggggggggg gaggggggggggggggggggg eaggggggggggggggggggg agggggggggggggggggggg acgggggggggggggggggggg ca a ac ca a ee a a ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0807feff c,#fb8689ff d,#a7a7ffff e,#fb4144ff f,#5952f7ff g,#fdc9caff ``` ```image e ca gaa eae caag aac eae gaag aac caa gaag eae caa gaac eae caag aac eae gaag aac caa gaag eae caa gaac f eae dfbb caag dfbbbbf aac dfbbbbbd eae dbbbbbfd gaag dfbbbbfd aacfbbbbfd cfbbbbbd dbbbbbfd dfbbbbfd dfbbbbbea dbbbbbfgaac dfbbbbfd eae dfbbbbfd caag dfbbbbbd aac dbbbbbfd eae bbbfd gaag fd aac caa gaag eae caa gaac eae caag aac eae gaag aac caa gaag eae caa gaac eae caag aac eae gaag aac caa ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area A. Okay, let's direct our attention to the next zone. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0101ff b,#0808feff c,#ff7777ff d,#bdbdffff e,#f32d39ff f,#5552fbff g,#ffc1c1ff ``` ```image dbbf dbbf bbf bbb fbb fbbd fbbd fbbd fbbd fbbd dbbd dbbf dbbf dbbf dbbf dbbf bbf bbb fbb fbbd fbbd fbbd fbbd fbbd ggggfbbfgggggggggggccccccccccccc eeeeeeeeaaaaaaaaaaaaaaaaaaaebbeaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaebbfeeeeeeeeeeeeeeeccccccccccc gggggggggggggg dbbf dbbf dbbf bbf bbb fbb fbbd fbbd fbbd fbbd fbbd dbbd dbbf dbbf dbbf dbbf dbbf bbf bbb fbb fbbd fbbd fbbd ``` <!-- end of image --> Incredible, there's actually an intersection in area B! The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0505feff c,#ff9999ff d,#a09efdff e,#ff4949ff f,#4e45f5ff g,#e7d7efff ``` ```image d db db gb gb bg bg bd bd bf bf bf fb fb fb db db gb gb bg bg bd gggbdccccccccccceeeeeeee gaaaaaaaaaaaaaaaaaaaaaabfaeeeeeeeeeeccccccccc ag bf ee bf a fb ag fb ca fb a db ac db ca gb a gb ee bg ga bg ag bd ee bd a bf ac bf ca bf a fb ac fb ca fb a db ee db ga gb ag gb ee dbg a dbbf ac gfbbg ca fbbd a dbbf ac gbbfg ca fbbd fbbd dbbf gbbbga fbbd ag dbbf ee dbbf a fbbg ac d ca a ac ca a ee ga ag ee a ac ca a ac ca a ee ga ag ``` <!-- end of image -->
This image seems promising for intersection detection. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefeffff a,#0907f9ff b,#f50b0eff c,#b1d7b2ff d,#544bd3ff e,#eff6f0ff f,#ca585bff g,#a3cca3ff ``` ```image d da aa aa ad ac eae cae da e eggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdagggggggbbe egccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaaccccccgbbge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaaccccccbbgcge egccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccadcccccgbfcccge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccadcccccbbgccccge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgagccccgbfccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgagccccbbccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccdaccccgbfcccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccccccccccdaccccbbcccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccccaacccfbfccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccccccccaacccbbccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccccccccccadccfbfcccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccccccadccbbcccccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccccgagcfbfccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccccccgagcbbccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccccdacfbfcccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccccdacbbcccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccccaafbfccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccccaabbccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccccccadbfcccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccccafbcccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccccgabgccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccccccgabccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccccdagcccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccccccgdacccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccccfaaccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccccgbaacccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccccfbadccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccccbbadcccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccccbgagccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccccbfagcccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccccbbacccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccccfbagcccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccccfbagccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccgbadcccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccccbadccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccccbadcccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccccbadccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccccbaacccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccccfdaccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccccgdacccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccgfaccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccccfacccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccccbaccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccccbacccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccccbagcccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccccfagccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccgadcccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccccadccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccccadcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccccadccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccccaacccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccccdaccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccccdacccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccccdaccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccccdacccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccccgagcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccgafccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccccafcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccccabccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccccafcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccccafccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccccadgccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcccadgcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egccaafccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egcdabcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge egdabccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge edabcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge cabccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge abgccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccge bfgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggge eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#0a05f9ff b,#fb0609ff c,#fca9abff d,#5148f6ff e,#b4b2fcff f,#fb4d51ff g,#920974ff ``` ```image dae b aaa fbb eaae cbbc ead fbf ead cfbf dad bbb aae bbc aae cbbf ead cbbf ead fbbc eaa cbbf dae cbb dae fbbc eaae fbbc aa bbf ead fbf daa bbf aae cbbc aae cbbc eaa bb ead cbbc aad cbbc dad fbf aacfbf aaebbb aadbbc eadfbf eadbbc dagbc dagb eaab eaabc aaa gad faa baae cbaaa cbgad fbbaa cbbdad bbdaa cbcaae cbbaa bbfad bfad fbdaa bbaae cbdae bbaa bgae fbaa cbgad cbaa baad baa faae cbaa bgae gaa fgad gad caa bad baa faae cgae caa gae gae gad cad aaa aa aa aa dae daa aag eag aac eaa aaf daa dab dagc aac eagf aaf eagb eaabc aaac dabf dabf dag dagb aagf eagb agbf fbc ``` <!-- end of image --> The evidence is clear: this is an intersection in area A. After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0805fbff b,#fb0508ff c,#fca5a7ff d,#4941f6ff e,#a5a3fdff f,#f5424bff g,#790489ff ``` ```image e da aa ad ad ae ae ea ea da fb aa bf ad fb ad cbf ae fb ae cbf ea bb ea cbf da bb aa cbf ad bb ad cbc ae bb ae cbc ea bb ea cbc da bb aacbc adbb adbc agb abc eaf gac ga faa bad fbad bfae bcae bfa ffa fba cbae bae bae bad bad faa fga cga ga ga ba ba fa cae cae ae ad ad aa da da ea ea eac ac af af ag ag ag agc aac daf dab eab eab db bc ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#ea5c58ff b,#0505fdff c,#afd6afff d,#fd0807ff e,#909ce6ff f,#feb5b5ff g,#4647ebff ``` ```image f fd dfd fd aa be d df bb d d bb df fd ebg d da gbe aa d bb d fd bb cccccccccccaacccccccccadccccccccccccccccc ebg cccccccccccdcccccccccccdacccccccccccccccc gbe ccccccccccadccccccccccccdcccccccccccccccc bbe ccccccccccdcccccccccccccadccccccccccccccc bb ccccccccccdccccccccccccccdacccccccccccccc ebbccccccccdccccccccccccccccdcccccccccccccc gbgccccccdcccccccccccccccccdccccccccccccc ccgbecccdacccccccccccccccccadcccccccccccc ccccbbccdcccccccccccccccccccdaccccccccccc cccccebbaccccccccccccccccccccdccccccccccc cccccccabgccccccccccccccccccccdcccccccccc ccccccaacgbeccccccccccccccccccadccccccccc ccccccdccccbbecccccccccccccccccdacccccccc eeeegggbb cccccadccccccbbccccccccccccccceeaggggbbbbbbbbbbbbbbbgggeee cccccdccccccccebbbbbbbbbbbbbbbbggggeeeccc cccccdcccccccccceccccccccccccccccdacccccc ccccdcccccccccccccccccccccccccccccdcccccc ccccdccccccccccccccccccccccccccccccdccccc cccdaccccccccccccccccccccccccccccccadcccc cccdccccccccccccccccccccccccccccccccdaccc ccdacccccccccccccccccccccccccccccccccdccc ccdcccccccccccccccccccccccccccccccccccdcc caacccccccccccccccccccccccccccccccccccddc cdcccccccccccccccccccccccccccccccccccccdc adccccccccccccccccccccccccccccccccccccccd d fd fd da df d d d df ad d df aa d d fd aa da d df fd d d ad fd da df d d fd df ad d df aa d d fd aa da d df fd d d ad fd df df d d fd df a d aa d aa d fd d fd df d df d aa d aa d fd d ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f7363eff b,#0505feff c,#fe7b7cff d,#fe0404ff e,#acacfeff f,#fec2c2ff g,#554df7ff ``` ```image adc fddc fddf fddf cda cdd ddf ada cda fddc ddf cddf cda ada adc ddc fdd fddf adc cdd fdd ada e adc fddc bbe fddf cddf bbbge cda ada gbbbg ddf ddc gbbbe cda fddf egbbbe ddf cddf ebbbge cda ada ebbbg adc ddc gbbbgfdd fddf egbbbac cdd ebbbge ada aabbbg fddc fddfgbbbg cddf cda gbbbe ada ddf egbbbe ddc cda ebbbge fddf ddf gbbbg cdd cda gbbbe eeeeaaggggggggbbbbbbb adc egbbbe eeeeeeegggggggbbbbbbbbbbbbbbbbbbbbbbbbbbbb fdd ebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgggggggeeeeeee adc ebbbbbbbbbgggggggeeeeeee cdd fdd e ada adc fddc fddf cddf cda ada ddf ddc cda fddf ddf cdd cdd ada adc fddc fdd cddf adc ada fdd ddc adc fddf fddf cddf cda ada ddf ddc cda fdd ddf cd ``` <!-- end of image --> Case closed! This is definitely an intersection point in area A. Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f83b42ff b,#0605feff c,#fe8383ff d,#ff0505ff e,#afaffeff f,#ffc7c7ff g,#554ff9ff ``` ```image f cd dfd fd aa be df df bb d d ebb df cd ebg d dc gbe ac df bbe d fd bb ca ad ebg d dc gbg ca d bbe d fd bb fd aa ebb df df gbg d d gbe df cd bb d dc ebbc d abg fd ca gbe aa d bbe df eeeggggbb cd bb eeaggggbbbbbbbbbbbbbbbgggeeee d ebbbbbbbbbbbbbbbbgggeeee fd e aa df df d d df cd d dc ac d d fd ca aa d df cd d d cd fd dc df df d fd dc ad d dc ac d d fd ca aa d df cd d d cd fd dc df d d fd dc aa d df ac d d cd ca aa d df cd d d cd fd dc df d d fd dc c d ac d ca d cd d fd df d dc d ac d ca d fd d ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. My analysis shows there's absolutely no intersections in the image
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0404ff b,#0707ffff c,#6060ffff d,#ff8686ff e,#ffd0d0ff f,#ff3a3aff g,#afafffff ``` ```image e aae ad ae ad ea eae ea eae ea da da da da fa fa fa ff af af af ad ad ad ad ae eae ae eae ae da ea da ea fa da fa da af fa af fa ad ff ad af eae ad eae ad da ae da ae fa a fa ea af ea af da ad da ad fa fa af af ad ad ae ae ea ea ea da da fa ff a bbbc gbg cbbc cb cbbc bb cbbc bc cbbc cb cbbc bb cbbc bc cbbc gbg cbbg cb cbbg bb cbbg gbg bbbg cb gbbbg bb gbbbg bc gbbb cb g bb bc gbg bb bc gbg cb bb bg cb bb bc ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0606ff b,#0505fcff c,#de9d8dff d,#4c4ee9ff e,#afd6b0ff f,#f0f3eeff g,#ed4e48ff ``` ```image f caf aca ca gg af af fa fa ac ga a ac gc a a ca gg ag a af ca fa a gafffffffffffffff fa faceeeeeeeeeeeeee af feaeeeeeeeeeeeeee fa fecaeeeeeeeeeeeee ac feeageeeeeeeeeeee a feeeaeeeeeeeeeeee gc feeecaeeeeeeeeeee a feeeegaeeeeeeeeee gg feeeeeaceeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeaf feeeeeeaeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeecaf dddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb feeeeeeeeeeeeeeeeeeeeeeeeaef bdeeeeeffeeeeeeeeageeeeeee feeeeeeeeeeeeeeeeeeeeeeecaef db feeeeeeeeaeeeeeee feeeeeeeeeeeeeeeeeeeeeeeacef fb feeeeeeeecaeeeeee feeeeeeeeeeeeeeeeeeeeeeeaeef bf feeeeeeeeeggeeeee feeeeeeeeeeeeeeeeeeeeeeaceef be feeeeeeeeeeaceeee feeeeeeeeeeeeeeeeeeeeeeaeeef dd feeeeeeeeeeeaeeee feeeeeeeeeeeeeeeeeeeeeggeeef eb feeeeeeeeeeegaeee feeeeeeeeeeeeeeeeeeeeeaeeeef fb feeeeeeeeeeeeagee feeeeeeeeeeeeeeeeeeeeggeeeef bf feeeeeeeeeeeeeaee feeeeeeeeeeeeeeeeeeeeaeeeeefbd feeeeeeeeeeeeecae feeeeeeeeeeeeeeeeeeecaeeeeedb ffffffffffffffgg feeeeeeeeeeeeeeeeeeeaeeeeeeb af feeeeeeeeeeeeeeeeeecaeeeeebf fa feeeeeeeeeeeeeeeeeeaceeeebdf ga feeeeeeeeeeeeeeeeeeaeeeedbef ac feeeeeeeeeeeeeeeeeaceeeebeef a feeeeeeeeeeeeeeeeeaeeeebeeef ca feeeeeeeeeeeeeeeeggeeebeeeef ag feeeeeeeeeeeeeeeeaeeebdeeeef af feeeeeeeeeeeeeeeggeedbeeeeef fa feeeeeeeeeeeeeeeaeeebeeeeeef ga feeeeeeeeeeeeeecaeebeeeeeeef ac feeeeeeeeeeeeeeaeebdeeeeeeef a feeeeeeeeeeeeecaedbeeeeeeeef ca feeeeeeeeeeeeeacebeeeeeeeeef ag feeeeeeeeeeeeeaebeeeeeeeeeef af feeeeeeeeeeeeacbdeeeeeeeeeef fa feeeeeeeeeeeeadbeeeeeeeeeeef ga feeeeeeeeeeeggbeeeeeeeeeeeef ac feeeeeeeeeeeabeeeeeeeeeeeeef a feeeeeeeeeegbeeeeeeeeeeeeeef ca feeeeeeeeeebdeeeeeeeeeeeeeef ag feeeeeeeeedbeeeeeeeeeeeeeeef af feeeeeeeeebeeeeeeeeeeeeeeeef fa feeeeeeeebaeeeeeeeeeeeeeeeef gg feeeeeeebdceeeeeeeeeeeeeeeef ac feeeeeedbaeeeeeeeeeeeeeeeeef fa feeeeeebaceeeeeeeeeeeeeeeeef ca feeeeebeaeeeeeeeeeeeeeeeeeef a feeeebdggeeeeeeeeeeeeeeeeeef feeebdeaeeeeeeeeeeeeeeeeeeef feedbeggeeeeeeeeeeeeeeeeeeef feebeeaeeeeeeeeeeeeeeeeeeeef febeecaeeeeeeeeeeeeeeeeeeeef fbdeeaeeeeeeeeeeeeeeeeeeeeef dbeecaeeeeeeeeeeeeeeeeeeeeef deeeaceeeeeeeeeeeeeeeeeeeeef feeeaeeeeeeeeeeeeeeeeeeeeeef feeaceeeeeeeeeeeeeeeeeeeeeef feeaeeeeeeeeeeeeeeeeeeeeeeef feggeeeeeeeeeeeeeeeeeeeeeeef feaeeeeeeeeeeeeeeeeeeeeeeeef fggeeeeeeeeeeeeeeeeeeeeeeeef faeeeeeeeeeeeeeeeeeeeeeeeeef caeeeeeeeeeeeeeeeeeeeeeeeeef aeeeeeeeeeeeeeeeeeeeeeeeeeef ffffffffffffffffffffffffff ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0405ff b,#0807fdff c,#fec0c0ff d,#5a50f5ff e,#fd7e80ff f,#b3b3feff g,#fa3b40ff ``` ```image e a ea ga caa gae caa gae caac eag aac eag aac eaa gae caa gae caa gae caac eag aac eag aac eaa gae caa gae gae fb caac fbb eag bbd aac dbb eag dbbf aac fbbf eaa bbd gae dbd caa dbb gae fbbf caa fbbd gag bbd caac dbb eag fbbf aac fbbf eag bbd aac dbb eaa dbbf gae fbbf caa bbd gae dbd caa dbb gag fbbf aac fbbd eag bbd aac dbb ag fbbf acfbbf ca bbd gedbb cadbbf gabbf caabd gabd adb egbb gbbf ebbd bbb dbbf fbbd bbd dbbe dbbac fbbgg fbbdac bbdag dbbaac fbbeag fbbfaae bbdcaa dbb gae dbbfcaa fbbf gae bbd caac dbd gag fbbf eag fbbd aac bbd eag dbb aae fbbf caa fbbf gae bbd caa dbb gae dbbf caac bbf eag dd aac eag aac eag aae caa gae caa gae caac eag aac eag aac eag aae caa gae ``` <!-- end of image --> There's no doubt about it - this is an intersection in area A. Time to investigate another area. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0203ff b,#0606ffff c,#fecfcfff d,#fe9697ff e,#fe6161ff f,#d9d9ffff g,#fe2a2aff ``` ```image gae caad daac gag caad daac eag gae caad eaac gag caad daac eag gae caac eaa gae caad ffffffffffff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffffffffffffff cgae daac eag gae caad daac gag caae daac eag gae caad daac gag caad daac eag gae ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area B! After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#0505feff c,#ffbebeff d,#4e48f8ff e,#fc787bff f,#b7b7ffff g,#ff3d3dff ``` ```image c ea aca ca gg ac ac a a ac ea a ae ge a a ca eg gg a ac eg a a ea ca ac ac a a ca ac ae a a ge ca a gg eg ac a a ea dddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a bdfffffffffff ae ca db a ac fb ca a b gg ac bf ac a dd a ge fb ea a b ae eg bf a a bd ca ea db gg a fb ac ca b a ac bf ea a db ae ac fb a a b ca ge bf gg a bd ac eg fb a a b ea ca bf ac a bd a ca db ca acfb ae a b a acbf ca add gg geb ac ab a ebf ea bd ae db a b ca ba gg bdc ac dba a fbac ea b a a bfge dd a fb eg b a bf ca bd a db ca d ac a ae a ge a eg a ca a ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#f54140ff b,#0909fdff c,#fd0404ff d,#5d63f1ff e,#add4adff f,#e69488ff g,#b8b8feff ``` ```image g db c bdb aa bd b c b gb c bg b aa gb gb c bg bg c gb b aa b bd c dd b c b dd aa bd b c b gb c bg b aa gb gb c b bg c cf gb b aa c b bd fc fc dd b c aa b dd cf cf bd b fc c b db c fc bg b cf ca gb gb fc c b bg c c db eebeeeeeeeeeeeca fceeeeeeeeeeeebee eebdeeeeeeeeefce caeeeeeeeeeeddee eeebeeeeeeeeecee eceeeeeeeeeebeee eeebdeeeeeeecfee eeceeeeeeeebdeee eeeebeeeeeefceee eeaceeeeeeebeeee eeeedbeeeeeceeee eeecfeeeeebeeeee eeeeebeeeecfeeee eeeeceeeeebeeeee eeeeedbeefceeeee eeeefceeebeeeeee eeeeeebeeceeeeee eeeeeaaedbeeeeee eeeeeeebcfeeeeee eeeeeecfbeeeeeee eeeeeeebaeeeeeee eeeeeeebdeeeeeee eeeeeeecbeeeeeee eeeeeeebceeeeeee eeeeeecfbdeeeeee eeeeeebdcaeeeeee eeeeeaceebeeeeee eeeeeebeeceeeeee eeeeeceeedbeeeee eeeeebeeeeceeeee eeeecfeeeebeeeee eeeedbeeeeaceeee eeeaceeeeedbeeee eeeebeeeeeecfeee eeeceeeeeeebeeee eeedbeeeeeeeceee eecfeeeeeeeebeee eeebeeeeeeeefcee eaceeeeeeeeebdee eebdeeeeeeeeeaae eceeeeeeeeeeebee eebeeeeeeeeeeecf cfeeeeeeeeeeebde ebdeeeeeeeeeeeec aa b gb fc c dd bg aa c b gb c aa gb b c c b db fc c gb b cf aa bg bd c c b b c c bd bg ac aa b gb cf c dd bg c c b gb fc aa db b aa c b dd cf c gb b c aa bg bd fc c b g cc bg f b dd b db b gb bg gb bg b bd b dd b ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fc3a3dff b,#5955faff c,#fe0404ff d,#fd8082ff e,#0908fdff f,#ffc6c6ff g,#acabfdff ``` ```image cf eeg ccf bee aca eeg fccd beb fccf gee dcc beb aca gee fccd eeg dccf gee aca eeg cca beb fccd geeg dccf beb aca gee ccd eeb fccf gee dcc eeg aca bee fccd eeg dccfbeb acaeeg aeeb geed eebcf geeaca eeg ccd bee fccf eeg dccf beb aca geeg fccd beb fccf gee dcc eeb aca gee fccd eeg dccf bee aca eeg cca beb fccd geeg dccf beb aca gee ccd eeb fcc gee dc ``` <!-- end of image --> Aha! I've found an intersection inside area A! Onward to the next region of interest. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f7474fff b,#4c4cffff c,#fe0607ff d,#9795fdff e,#0706fdff f,#ff9d9dff g,#ebd9ecff ``` ```image beb fc geed gcc dee aca eed fccg dee gccf eed aca deeg fccg beb gccf geeg aca beb fccg geed gccf deb aca eed fccg dee gccf eed aca deeg fccg beb gccf geeg aca beb fccg geedccf beeca geeag gaee aceed fccdeeg gccf beb aca deeg fccg beb gccf geeg cca beb fcc geed gccf dee cca eed acc dee fccf bed cca deeg acc beb fccf geeg cca beb acc geed fccf dee cca eed acc dee ``` <!-- end of image --> The lines cross each other within area B, forming an intersection. The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fd4c4eff b,#3432fdff c,#fe0606ff d,#7474feff e,#0303feff f,#ffb6b6ff g,#bebeffff ``` ```image g de c edb aa bd e c e ge cf eg eg aa ge ge c eg eg c ge e aa e bd fc db e c e db aa bd e fc e de c eg e aa ge ge fc e eg c cf de e ca c e bd fc fc db e c aa e bb ca cf bd e fc c e db c fc eg e ca ca ge ge fc cf e eg c c de e ca ac e ed fc ca bb e c c e bd cf fc bd e fc ac e db c cf eg e cf c ge ge fc fc e eg c aa db gecf cfe ea bd ce ec cfbd edca ac e e c c db eg c cf e ge ac ac ge e cf c eg db c cf ge e fc ac eg bd aa c e e cf cf bd eg c ac e ge fc c db eg ca cf e ge cf aa de e c c e db ac cf ge e ca aa eg bd c c e e fc cf bd eg ac aa e ge cf fc bb eg c c e ge fc aa db e aa fc e db cf c ge e c aa eg bd fcfc e g cc ed f e bd e db e ge eg ge eg e bd e db e ``` <!-- end of image -->
Here's an image. My task is to find intersections or areas where lines come close together. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#0202feff b,#f46765ff c,#8184f8ff d,#febabaff e,#fd0b0bff f,#acd4acff g,#3538f9ff ``` ```image c gc b a de gc e a ed gg be a de cg e a ed cg be a de ca e a eb ca be a de a e a eb a be ac e a ed ac eb a be gc e a ed gc eb a de gg e a ed cg eb a de cg e a ed ca be a de ca e a ed a be a de a e ac eb a be ac de a e gc eb a be gc e a ed gg eb ga a be gac cg e gac a ed gac cg eb gac a de gac ffcaffffffffffffe gac fffafffffffffffed gac fffcafffffffffee gac ffffaffffffffbef gac ffffcafffffffeff gac fffffaffffffebff gac ffffffaffffeefff gac ffffffacffeeffff gac fffffffaeebfffff gac ffffffbabfffffff gac ffffbeefafffffff gac ffbeefffacffffff gac feeffffffaffffff gac eeffffffffggffffgac eedffffffffffaffgag eed ffffffffffgaagff beb fffffffffffgffff beb ffffffffffffffff bee ffffffffffffffff dee dee eed eed eed beb beb ee ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706feff b,#fa6064ff c,#cfcfffff d,#ffb2b1ff e,#fe0a0aff f,#928ffcff g,#5550faff ``` ```image faa aaf faa d aaf de faa ee gaf bee caac deed gag eeb caac eeb gag bee caac deed gag eeb caac bee gag bee caac deeed gag deeeed caafbeeeb gaaeeb beaab beeegaa beeebd aaf deeeed faa deeeed aaf deeeed faa dbeeeb aaf beeeb faa eeeb aaf c ebd caa cga d gag cgaaa caaccgaaagc gaaaaagc caaagc fgc ``` <!-- end of image --> I observe an intersection inside area A. One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0202feff b,#fc5154ff c,#bfbfffff d,#ffa9a9ff e,#ff0707ff f,#7777ffff g,#3232ffff ``` ```image c gf b a de gf e a ed gf bb a de fg e a ed fg be a de fa e a ed ca be a e ca e ac eb ca be ac e a e ac eb a de gf e a ed gf eb a de gf e a ed fg bb a de fg e a ed fa bb a de ca e a ed ca be ac de ca e ac ed a be ac e a e gf eb a be gf e a e gf eb ga a de gaf fg e gaf a ed gaf fg eb gaf a de gaf fg e gaf a ed gaf ca eb gaf a de gaf ca e gaf ac ed gaf ca bb gaf ac ee gaf abed gaf bab gaf deb a gaf dee gf gaf dee a gaf ee gf gaf eed a gaf eed gaaf beb f beb deb dee ee ee eed bed beb beb ee ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#0909fdff b,#ed635bff c,#5d63f3ff d,#b2d6b1ff e,#95c39bff f,#fd0808ff g,#b3b3ffff ``` ```image dddddddddddddddde dddddddddddddddde dddddddddddddddde dddddddddddddddde dddddddddddddddde dbfffffb dddedddddddddddde dbffffbb fb dddacddddddddddde bfffffb fb ddddadddddddddddbfffffbd fb ddddaeddddbbffffbd fb ddddeaffffbbdddde fb dddffaeddddddddde ff dddddeaddddddddde ff a ddddddaddddddddde ff ga ddddddcadddddddde bf a dddddddadddddddde bf ac dddddddcaddddddde bf a ddddddddaddddddde bf ag ddddddddccdddddde bf ca dddddddddadddddde bf a dddddddddacddddde df ac eeeeeeeeeeaeeeeed df ga ag f a a f ca ag f eddddddddddddade ga fdddddddddddddacde a feddddddddddeadde ga fbdddddddddaddde a dfbdddddddacddde ga ddfbddddddadddde a dddfbddddaedddde cc ddddfbddcaddddde a dddddfbdadddddde cc ddddddfacdddddde a ddddddeafdddddde ag ddddddaeffddddde a dddddcaddffdddde ag dddddaddddffddde a ddddacdddddbfdde ag dddeadddddddbfde ga dddadddddddddbfe a ddcaddddddddddbf ga ddaddddddddddddbf a daeddddddddddddedf ga caeeeeeeeeeeeeed df a a f cc ac f a a cc ag a ca ag a a ac ag ga a a ag ca ga a a ag ga ga a a ca cc a a cc ag a ga cc a a ac ag a a ag ag ca a a ag ag ga ga a a ga cc a a ca ag a ga cc a a ac cc a a ag ag ca a a aac a ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0303feff b,#f85258ff c,#7979ffff d,#fcb1b4ff e,#3a2ff3ff f,#ff0505ff g,#bfbdfdff ``` ```image gg gae aag cae aag d cae ddbbfff aag ddbbfffffffff cae ddbbfffffffffbbdd daabffffffffbbdd dfffeaeffbbdd ffbbaag eac gaa eac gaa eac cae aag cae aag cae aag cae gaag eac gaa eac gaa eac ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area A. Okay, let's proceed to the next area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#0605feff b,#ff5959ff c,#8282ffff d,#ffa8a8ff e,#453ff9ff f,#fd0607ff g,#c7c7feff ``` ```image gaag eac caa d gaac fd eae ffd gaag bffd aac bffd caa bffd gaag bffd eae bffd caag bffd aac dffb cae dffb gaag dffb eae dffb caa dffb aac dffb eae dffbgaag dffaac deaa gaaff eaefff gaag fff aac fff caa fffd gaag bffd eae bffd caa bffd aac bffd eae bffd gaag bffd eac bffd caa bffd gaac bff eae df gaag d aac caa gaag eae ``` <!-- end of image --> An intersection is present within area B. Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#ff4c4cff c,#7979ffff d,#fda4a6ff e,#3939ffff f,#ff0505ff g,#bebefeff ``` ```image dbfffffd g dbffffbd fd ag dbfffffd fb a dbffffbd fb ag dbffffbd fb daffffbd fb fbag fb ga ff a a bf ga ce bf a a bf ec ce bf a a bf ag ec df ca a df a ec df ac a df ga ag df a a f ce ag f a ga fd ag a fd ga ga fd a a fd ee ce fd a a fb ag ce fb ca a fb a ec fac a gab ec agff a ce bf ag a bf a ac bf ag ga bf ga a bf a ee df ga a df a ag df ce ga df a a df ce ec f a a ec ag a ca ec a a ac ag ga a a ag ce ga a a ag ga ga a a ce ee a a ce ag a ca ec a a ec ec ga a ag ag ce a a ag ac ga ga a a ga ee a a ce ag a ga ce a a ee ec a a ag ac ca a a aac a ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0707ff b,#0606feff c,#eb9c92ff d,#9296f6ff e,#afd6b0ff f,#e9504fff g,#4447efff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeebgagbeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeebffacebgeeee eeeeeeeeeeeeeeeeeeeeeeeeeeefbfeeeaeegbeee eeeeeeeeeeeeeeeeeeeeeeeeefabeeeeeafeeebge eeeeeeeeeeeeeeeeeeeeeeefafbeeeeeeeaeeeegb eeeeeeeeeeeeeeeeeeeeecaadbeeeeeeeefaeeeeebg eeeeeeeeeeeeeeeeeeecaaegbeeeeeeeeeeaeeeee bb eeeeeeeeeeeeeeeeecaaeegbeeeeeeeeeeecaeeee dbd eeeeeeeeeeeeeeecaaeeegbeeeeeeeeeeeeeaceee bb eeeeeeeeeeeeeeaaeeeebbeeeeeeeeeeeeeeeaeee dbd eeeeeeeeeeeeaaceeeebbeeeeeeeeeeeeeeeeafee bb eeeeeeeeeeaaceeeeebgeeeeeeeeeeeeeeeeeeaee dbd eeeeeeeeaaceeeeeebgeeeeeeeeeeeeeeeeeeeffe bb eeeeeeaaceeeeeeebgeeeeeeeeeeeeeeeeeeeeeae dbd eeeeaafeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeefa bb eefafeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeea gb fafeeeeeeeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeca bg fafeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeeeeeeeeeeac gb faf db a bg c db ff gb gb a bg gb fa bb bb a dbd bg ca bb bg ac dbd bd a bb bd ac dbd bd a bb b ff db db a db ca db a g a ac a ff a ca a ca ac a ac a ff a ca a a ac a ff a ca a ca ac a ac a ff a ca a a ac a ff a ca a ca ac a ac a ff a ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0604fdff c,#f84c53ff d,#9591faff e,#ff9c9cff f,#ebd7ebff g,#463ef6ff ``` ```image ff dbbd dbbbbgf dbbgdbbbd dbbgaafgbbgf dbbgaaac dbbbd gbbcacfaae fgbbgf fgbbccf eaa dbbbd fcbbbcf aae fgbbgf fcabbbd eaa dbbbd fcaabbbf cac fgbbgf eaaabbbf eaaf dbbb eaaacbbgf cac fgb eaaaadbbg faae d eaaaaedbbg cac eaaaae dbbg faae eaaaae dbbg eaa ecaaae dbbd aae ecaaae gbbd eaaf ecaaae gbbd cac fcaaacf gbbd faaf fcaaacf fgbbf cac fcaaacf fgbbf faae fcaaacf fbbbf eaa fcaaacf fbbgf aae fcaaacf fbbgf eaaf eaaace dbbg cac eaaace dbbg eaaf eaaace dbbg cac eaaaae dbbd faae eaaaae gbbd cac eaaaae gbbd aa eaaaae gbbd ea ecaaae gbbd a ecaaae fgbbf e fcaaacf fbbbf fcaaacf fbbbf caaacf fbbgf ``` <!-- end of image --> Success! This area contains an intersection point! There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0404ff b,#0606ffff c,#fc7376ff d,#afaefeff e,#ffbebeff f,#f8353bff g,#5653fcff ``` ```image d bbb bgagbd bfcae bg cbc a gb cabd fc bg cafb a gb cafdb cf dbg eaa db a bb eaa gb ea dbg eaa gb ae bb eaae bb a dbd aae bb ac bb aae bg a dbd aae bg ff bb aae bd a gbd fac bd ca bb fac bd a gbd fac db ea bg cac db ae gb caf db a bg c gb fc gb gb a dbg gb cf bb bb a dbg bg ea bb bg ae dbd bg a bb bd ac dbd bd a bb b ff gb db a db ca gb ae g ea ae a fc a cf a ea ae a ac a ff a ca ae ea ae a fc a cf a ea ae a fc a cf a ea ae ea ae a fc a cf a ea ae a fc a cf a ``` <!-- 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,#fd0707ff b,#0101ffff c,#eb9e95ff d,#3338f5ff e,#afd6afff f,#f14e47ff g,#9b9dfcff ``` ```image c fa cac af aa ca ac aa fa cac af aa ca ac aa fa cac af aa ca ac aa fa cac af fa ca af aa af af af ac ac a a a ca ca ca fa fa af af afeeeeeeeeeeeeeeeeeeeeeeeeeeee aceeeeeeeeeeeeeeeeeeeeeeeeeee eaceeeeeeeeeeeeeeeeeeeeeeeeee eeaeeeeeeeeeeeeeeeeeeeeeeeeee eeeaeeeeeeeeeeeeeeeeeeeeeeeee eeecaeeeeeeeeeeeeeeeeeeeeeeee gdbbg eeeecaeeeeeeeeeeeeeeeeeeeeeee dbbdg bb eeeeefaeeeeeeeeeeeeeeeeeeeeee gbbbg gbg eeeeeefaeeeeeeeeeeeeeeeeeeeee gdbbd bb eeeeeeefaeeeeeeeeeeeeeeeeeeee dbbdg gbg eeeeeeeeaaeeeeeeeeeeeeeeeeeee gbbbg bd eeeeeeeeeafeeeeeeeeeeeeeeeeee gdbbd gbg eeeeeeeeeeafeeeeeeeeeeeeeeeee dbbdg bd eeeeeeeeeeeafeeeeeeeeeeeeeeee gbbbg dbg eeeeeeeeeeeeaceeeeeeeeeeeeeee gdbbd bdeeeeeeeeeeeeeaceeeeeeeeeeeeee dg dbeeeeeeeeeeeeeaeeeeeeeeeeeeee ebdeeeeeeeeeeeeaeeeeeeeeeeeee eedbeeeeeeeeeeecaeeeeeeeeeeee eeeebdeeeeeeeeeecaeeeeeeeeeee eeeeedbeeeeeeeeeefaeeeeeeeeee eeeeeeebdeeeeeeeeefaeeeeeeeee eeeeeeeedbeeeeeeeeefaeeeeeeee eeeeeeeeeebdeeeeeeeeaaeeeeeee eeeeeeeeeeedbeeeeeeeeafeeeeee eeeeeeeeeeeeebdeeeeeeeafeeeee eeeeeeeeeeeeeedbeeeeeeeaceeee eeeeeeeeeeeeeeeebdeeeeeeaceee eeeeeeeeeeeeeeeeedbeeeeeeaeee eeeeeeeeeeeeeeeeeeebdeeeeeaee eeeeeeeeeeeeeeeeeeeedbeeeeeae eeeeeeeeeeeeeeeeeeeeegbdeeeca db c gbg bb gb ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0606ff b,#0404ffff c,#ff9595ff d,#4141ffff e,#9494ffff f,#ff4343ff g,#f0d7e6ff ``` ```image aac caac caac caac faag faag faag faag gaaf gaaf gaaf gaaf caac caac caac caac faac faag faag faag fafg gaaf gaaf gaaf gaaf caac caac caac caac faag dg faag bbe faag dbbdg faag ebbbe gfafg dbbdg gaaf ebbbe gaaf gdbbdg gaaf ebbbe caaf gdbbdg caac ebbbe caac gdbbdg caac ebbbe caac gdbbdg faag ebbbe faag gdbbdg faag ebbbe faag gdbbdg gaaf ebbbe gaaf gdbbdg gaaf ebbbe gaaf gdbbdg caac ebbbe caac gdbbdg caac ebbbe caac gdbbd faac ebbbe faag gdbbd faag ebbbe faag gdbbd gfafg ebbbe gaaf gdbbd gaaf ebbbe gaa gdbbd ga ``` <!-- end of image --> No intersection in area A, but I'll keep looking. I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0909ff b,#0000ffff c,#ffb9baff d,#2b2bffff e,#6666ffff f,#ff6060ff g,#c3c3ffff ``` ```image c fa cac af aa fa af aa fa cac af aa fa af aa fa cac af aa fac af aa fa cac af aa cac af aa aa af af ac ac ac a ca ca ca fa fa aa af af af ac ac ac a ca gdbbg ca ebbdg bb ca ebbbe ebg fa gdbbeg bd fa ebbdg ebg aa ebbbe bd af gdbbeg ebg af ebbdg bd af ebbbe ebg ac gdbbeg bd ac dg ebg a bd a ebg ca bd ca dbg fa gbd fa dbg fa gbd aa db af gbe af db ac gbe ac db ac gbe a db ca gbe ca db c gbe db gb ``` <!-- end of image -->
I have an image in front of me. I need to determine if there are any intersection segments. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#c9987eff b,#0809faff c,#fc0605ff d,#5960d2ff e,#e0443dff f,#b1d7b1ff g,#95c898ff ``` ```image fggggggggggggggggggggggggggggggggacagggggggggggggggggggggggggggggggggggggggggggggg gffffffffffffffffffffffffffffffffcfcffffffffffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffffffacfacfffffffffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffffffcgffacffffffffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffffffcffffecfffffffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffffcafffffecffffffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffffcfffffffcefffffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffffeeffffffffcaffffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffffcffffffffffcafffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffeefffffffffffcfffffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffffcfffffffffffffcffffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffacfffffffffffffacfffffffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffffcffffdbdffffffffecffffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffacfffgbfbdffffffffecfffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffcafffbfffbbffffffffceffffffffffffffffffffffffffffffffff gffffffffffffffffffffffffffcfffbdffffdbffffffffcefffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffcaffdbffffffdbffffffffcaffffffffffffffffffffffffffffffff gfffffffffffffffffffffffffcfffbffffffffgbdfffffffcafffffffffffffffffffffffffffffff gffffffffffffffffffffffffeeffbgffffffffffbdfffffffcfffffffffffffffffffffffffffffff gffffffffffffffffffffffffcffbbffffffffffffbbffffffacffffffffffffffffffffffffffffff gfffffffffffffffffffffffeefgbffffffffffffffbbffffffacfffffffffffffffffffffffffffff gfffffffffffffffffffffffcffbffffffffffffffffdbffffffecffffffffffffffffffffffffffff gffffffffffffffffffffffacfbdfffffffffffffffffgbgfffffccfffffffffffffffffffffffffff gffffffffffffffffffffffcfdbffffffffffffffffffffbdfffffceffffffffffffffffffffffffff gfffffffffffffffffffffacfbffffffffffffffffffffffbbfffffcafffffffffffffffffffffffff gfffffffffffffffffffffcabgfffffffffffffffffffffffbbfffffcaffffffffffffffffffffffff gfffffffffffffffffffffcbdfffffffffffffffffffffffffdbfffffcffffffffffffffffffffffff gffffffffffffffffffffcdbfffffffffffffffffffffffffffgbgfffacfffffffffffffffffffffff gffffffffffffffffffffcbffffffffffffffffffffffffffffffbdfffacffffffffffffffffffffff gfffffffffffffffffffebdfffffffffffffffffffffffffffffffbbfffecfffffffffffffffffffff gfffffffffffffffffffdbfffffffffffffffffffffffffffffffffbbfffecffffffffffffffffffff gffffffffffffffffffebfffffffffffffffffffffffffffffffffffdbfffcefffffffffffffffffff gffffffffffffffffffbfffffffffffffffffffffffffffffffffffffdbgffceffffffffffffffffff gfffffffffffffffffbdfffffffffffffffffffffffffffffffffffffffbdffcafffffffffffffffff gffffffffffffffffdbfffffffffffffffffffffffffffffffffffffffffbdffcfffffffffffffffff gffffffffffffffffbcffffffffffffffffffffffffffffffffffffffffffbbffcffffffffffffffff gfffffffffffffffbeafffffffffffffffffffffffffffffffffffffffffffdbfacfffffffffffffff gffffffffffffffbbcfffffffffffffffffffffffffffffffffffffffffffffdbfacffffffffffffff gfffffffffffffgbcafffffffffffffffffffffffffffffffffffffffffffffffbdecfffffffffffff gfffffffffffffbfcfffffffffffffffffffffffffffffffffffffffffffffffffbdceffffffffffff gffffffffffffbdeeffffffffffffffffffffffffffffffffffffffffffffffffffbbcefffffffffff gfffffffffffdbfcffffffffffffffffffffffffffffffffffffffffffffffffffffdbcaffffffffff gfffffffffffbfeefffffffffffffffffffffffffffffffffffffffffffffffffffffdbcafffffffff gffffffffffbgfcfffffffffffffffffffffffffffffffffffffffffffffffffffffffgbefffffffff gfffffffffbdfacfffffffffffffffffffffffffffffffffffffffffffffffffffffffffbdffffffff gffffffffdbffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbbfffffff gffffffffbffacffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbbffffff gfffffffbdffcafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffdbfffff gffffffdbfffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffebffff gfffffgbfffcaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffcffff gfffffbffffcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffffbdfffeeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfffdbffffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfffbffffeefffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffbgffffcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfbdffffacffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gdbfffffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gbfffffacfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff bdfffffcafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff dbffffffcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff bgfffffcaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff b gfffffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffffeefffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffffcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfffeeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfffcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffacfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gffcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfacffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfcaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gfcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gcafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff gcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff cfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff aeggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg c ac c ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#fdb0b1ff b,#0807feff c,#fe0708ff d,#c6c5feff e,#fe5858ff f,#6462fcff g,#7d1394ff ``` ```image ca cccc cccc ac ace ee cc ec aca cc cc ca ec ac ce ac ace ec aca ece eca cc eca ce cc ee ce ca ace cc bd aca cc fbbd eca ac dbffbf ec ee ff dbb ec ec bb dbbd cc cc bf bb ace ca dbd dbf cc ac dbb bbd eca ac bb bb cc ec dbd fbf cc ce fb bbd ace ca bb dbbd cce ca bf fbf eca ec fb fbf eca cc dbf dbbd cc ca bf bb ce ee bb fbf cc ac bf bbd aca ccfbd dbb cc cebb fbf ec eefb bbb ce cfbd dbbd cc acbb dbbd ace cgbd fbf cc cbd dbf eca ebb dbbd cc gbd bb cc bb fbf ace bb bbd cc bg bb eca fba fbf cc dbg bbd ec bgc dbbd ce bbca fbf ace dbge fbf aca fbec dbbdeca bbcc dbb eca fb ca fbfcc fbdac bbdce bfac dbbcc fb ec fbfca bb ce bbcca bb ca dbbcc dbd ca fbbe bb ac fbge bbd cc bba dbf ce dbba fb ee gbf bb ca gbf bf ec bbd fbd cc acg bb ca ae fb ca dbd ac bf acc fbd ece bb ce bb ca dbf ca bb ac dbd cc bf ce bb ee dbd ca b cc b cc ac ca ec cc ca ee ac cc cc ac ee ec cc ca ac ac ec ce ac ca ``` <!-- end of image --> An intersection is present within area A. Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fd8a8cff b,#0606feff c,#fe0506ff d,#9b99fcff e,#fa3e43ff f,#4d3ff1ff g,#f1d5e2ff ``` ```image g acg cgc gc gc cg ac gc ac ca ec c ce ea ca c cg ee cg c gc ac gc c fbd ac gc gb bf ec cg bg bb ce gc bf fb ca ca db db ca c b gbd cg ea bd bf gc c ff bb gc ae gb fb ac c b db ec ac bd gbd ee c db bd ce gc b bf ca cgbg fb cg gcbf db cg cdb dbg gc cb bd ac ebd bf ac fb bb ec ab fb ce bg dbg ca bf bd ca db bf cg bc bb gc bcg fb gc ffc dbgac dbca gbdec b c bfee bdea bbce fb c fbca gb ae dbcg bg c gbe bf ac bf db c bb b gc fb bd cg fb ff c eb gb ca c b c bd ea db c b ae bg c ff ac db c b gc bd cg fb c gb ca bg c ea c ae c ac c gc cg c ca c ea c ae c ac cg ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#0607fdff b,#fe0302ff c,#6264f6ff d,#f33f40ff e,#ef877fff f,#afd5afff g,#b8b8feff ``` ```image c a ag ga fffffffffffffffffffffafff ffffffffffffffffffffcafff ffffffffffffffffffffaffff fffffffffffffffffffcaffef fffffffffffffffffffaffdbf ffffffffffffffffffacfbdff ffffffffffffffffffafbefff fffffffffffffffffacbfffff fffffffffffffffffabffffff ffffffffffffffffadfffffff fffffffffffffffdaffffffff fffffffffffffebafffffffff ffffffffffffdbcafffffffff fffffffffffbbfaffffffffff ffffffffffbdfccffffffffff ffffffffebeffafffffffffff fffffffdbfffacfffffffffff ffffffbbffffaffffffffffff fffffbdffffafffffffffffff fffebefffffafffffffffffff ffdbffffffaffffffffffffff fbbffffffcaffffffffffffff bdfffffffafffffffffffffff befffffffcafffffffffffffff eb a db ac bd a be ag eb ga db a bd ga be a eb cc db a bd ac be a eb ag db ga bb ag dbbe ga ebbe a ebbe ca ebbd a ebbd cc ebbd a ebbd ag ebbd a ebbd ag ebbd ga ebbd a ebbd ca d a cc a ac a ag ga a ga a cc a ac a ag aac ga caaac a caaac ga caaac a caaac cc caaac a caaac ac gcaaac a gcaaac ag gcaa ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0c09fcff b,#fe0505ff c,#6b68fcff d,#f53b44ff e,#fc888aff f,#fecdceff g,#bbbbffff ``` ```image gaag cac gaag aac gaa aac caa aag caa ef aag dbd cac fdbbe gaag fbbbf cac ebbdf gaa dbbd aacfdbbe gaafbbbf aacbbdf caabbd aadbe caabf eaadf eaaa ddaa fbbaac ebbdaa ebbdaac dbbecaa fdbbe aag fbbbf caa ebbd gaag dbbe cac fdbbe gaag fbbbf aac ebbdf gaa dbbd aac fdbbe caa fbbbf aag ebbdf caa dbbd gaag fdbbe cac fbbbf gaag ebbdf aac ebbd gaa dbbe aac fbbbf caa ebbdf aag ebbd caa dbbe aag ``` <!-- end of image --> Yes! I knew it! There's an intersection right here in area A! The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fd0405ff c,#5454ffff d,#fd4c4eff e,#ff9090ff f,#e4d9f4ff g,#8c8afcff ``` ```image g a ag fa af ga a ga e a db cc bd afbe agbf fab ad ba eba dbga bb a bd cc ebf a db ag bb fa bd af fbe fa db af bb ga bd a fbe cc eb a bb ag bd a fbe ag ebf fa db af bd ga fbe a ebf cc db a bb cc be a ebf ag db fa bb af dbbe ga dbbd a dbbd ga ebbd a ebbd cc ebbd a ebbd ag ebbd fa ebbd af ebbd fa ebbdf af ebbdf ga df a cc a ag fa af fa af ga a cc a ag a ag aacf fa gaaacf af gaaacf ga fcaaac a fcaaag cc fcaaag a fcaaag cc fcaaag a fcaaag ag fcaa ``` <!-- end of image -->
This is the image I'm working with. The goal is to count the intersections. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fc0c0bff c,#8a91efff d,#ee706aff e,#444af3ff f,#98c697ff g,#b1d6b0ff ``` ```image caa a caa ca cae a eac a aac ac aa a caa gffffffffffffffffffff ec cae fgggggggggggggggggggg a eac fgggggggggggggggggggg d b ee aacgggggggggggggggggggg bbd gbb a aaggggggggggggggggggfbbd dbb ca fcaaggggggggggggggfbbd dbd a fggcaeggggggggggdbbfg dbd ca fggggeaeggggggdbbgggg bbd fggggggggggafggf fggggggaacggdbbgggggg bb gggggggggggagggf fggggggggaabdgggggggg bb ggggggggggacgggf fgggggggbbdaagggggggg gbb ggggggggggaggggf fggggfbbdgggcaegggggg dbbgggggggggeeggggf fggdbbfgggggggeaegggg dbdgggggggagggggf fdbbggggggggggggaacgg gbbdggggeegggggf dbbggggggggggggggggaaf gggbbdggaggggggf dbdfggggggggggggggggggfaa gggggbbcaggggggf bbd fggggggggggggggggggggcae gggggggabggggggf bbd fgggggggggggggggggggg eac ggggggcafbbggggf gbbg fgggggggggggggggggggg e ggggggafggdbbggf dbb fgggggggggggggggggggf ggggggagggggdbbf dbb gggggacgggggggdbd dbb gggggagggggggggfbbbbd ggggeegggggggggf d ggggaggggggggggf gggeeggggggggggf gggagggggggggggf ffcafffffffffffg a a a a ac a ec a ce a ca a a a a ac a ec a ce a ca a a a a ac a ec a ce a ca a a a a ac a ee a ce a ca a ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#fe0708ff c,#7b78fcff d,#fa575bff e,#423efaff f,#ffaeaeff g,#c4c4ffff ``` ```image gaa eac gaag cae aag cae aag caa eac gaa f eac bdf gaa bbbd eac dbbbd gaag fdbbbd cae fdbbbf aag fbbbbf cae fbbbbf aag fbbbdcaa dbbaac daabd eaebbbd gaa fdbbbf eac fbbbbf gaag fbbbbf cae fbbbdf aag dbbbdf cae dbbb aag db caa f eac gaa eac gaa eac gaag cae aag cae ``` <!-- end of image --> The close-up clearly shows an intersection point in area A. Let's shift our focus to the next area. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#0303feff b,#fe0909ff c,#7e7dfeff d,#fc6062ff e,#3c35f7ff f,#ffb3b3ff g,#c3c3feff ``` ```image eg aaeg caaac geaaac db geaaac fdbbb geaaeg fdbbbdf caaaeg fbbbbdf caaac fbbbbd geaaac dbbbbd geaaac dbbbbf geaaeg fdbbbbf caaaegfdbbbdf caaaebbdf fbeaaac dbbbbdeaaac dbbbbf geaaeg fdbbbbf caaaeg fdbbbdf caaaeg fdbbbdf caaac fbbbbdf geaaac fbbbbd geaaeg dbbbbd caaaeg bbbbf caaaeg bbf caaa f gea g ``` <!-- end of image --> Amazing! This area was hiding an intersection all along! I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0606feff b,#fe0707ff c,#8180fdff d,#ff4e4eff e,#4242ffff f,#fd9fa1ff g,#c2c2ffff ``` ```image g caa a gaa ga cae ag eac a aag ag aa a gaa ec cae a eac d d ce aag bbd fbb a aa bbf fbd ca gaa fbbf dbd a cae fbb dbf ga eac fbb bbf ag eag dbd bbf a aabd bb ag bbfaa fbb a bbf cae fbd ec fbbf eac dbd a fbb eag dbf ce dbb aag bbf a dbd gaa bbca bbd cae ab bbf cac gafbb fbbf e ag fbb fbb a fbd fbb ag dbd dbd a dbdbd ec f a ce a ca a ga ag a ag a ec a ce a ca a ga ag a ac a ec a ce a ca a ga ag a ac a ec a ce a ga a ga ag a ac a ec a ce a ga a ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#4147f3ff b,#fd0504ff c,#e2978aff d,#8f9de3ff e,#b0d6b0ff f,#eb423eff g,#0505fdff ``` ```image d g gd dg g aa g gd dg g aa g gd dg g aa g gd dg g aa g gd gd dg g g dg aa aa g g gd g dg ag g gd aa g g dg gd aa dg g g g eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaa ag eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeege gd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegde g eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedgee dg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeee ga eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeee g eeeeeeeeeeeeeeeeeeeeceeeeeeeeeeeeeeeeeegeeee g eeeeeeeeeeeeeeeeeeebbbfeeeeeeeeeeeeeeegdeeee ageeeeeeeeeeeeeeeeeebfeefbfeeeeeeeeeeeedgeeeee gdeeeeeeeeeeeeeeeebfeeeeefbbeeeeeeeeeegeeeeee geeeeeeeeeeeeeeebbeeeeeeeecbbceeeeeeaaeeeeee dgeeeeeeeeeeeeefbeeeeeeeeeeeebbfeeeegeeeeeee egaeeeeeeeeeeefbeeeeeeeeeeeeeeefbfegdeeeeeee eegeeeeeeeeeefbeeeeeeeeeeeeeeeeeeffgeeeeeeee eeegeeeeeeeefbeeeeeeeeeeeeeeeeeeeegcbbceeeee eeeageeeeeecbeeeeeeeeeeeeeeeeeeeeaaeecbbceee eeeegdeeeecbeeeeeeeeeeeeeeeeeeeeegeeeeeebbfe eeeeegeeecbeeeeeeeeeeeeeeeeeeeeegdeeeeeeeefbf eeeeedgecbeeeeeeeeeeeeeeeeeeeeedgeeeeeeeeeeecbb eeeeeegabeeeeeeeeeeeeeeeeeeeeeegeeeeeeeeeeee cbbc eeeeeeegeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeee bbc eeeeeebegeeeeeeeeeeeeeeeeeeeeegeeeeeeeeeeeee fbf eeeeebceageeeeeeeeeeeeeeeeeeegdeeeeeeeeeeeee cbb eeeebceeegdeeeeeeeeeeeeeeeeedgeeeeeeeeeeeeee cbbc eeebceeeeegeeeeeeeeeeeeeeeeegeeeeeeeeeeeeeee bbc eebceeeeeedgeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeee fbf ebfeeeeeeeegaeeeeeeeeeeeeeegeeeeeeeeeeeeeeee fb bfeeeeeeeeeegeeeeeeeeeeeeegdeeeeeeeeeeeeeeee bfeeeeeeeeeeedgeeeeeeeeeeedgeeeeeeeeeeeeeeeee bfeeeeeeeeeeeeeageeeeeeeeeegeeeeeeeeeeeeeeeeee ff eeeeeeeeeeeeeegdeeeeeeeegaeeeeeeeeeeeeeeeeee fb eeeeeeeeeeeeeeegeeeeeeeegeeeeeeeeeeeeeeeeeee fb eeeeeeeeeeeeeeedgeeeeeegdeeeeeeeeeeeeeeeeeee fb eeeeeeeeeeeeeeeegaeeeedgeeeeeeeeeeeeeeeeeeee cb eeeeeeeeeeeeeeeeegeeeegeeeeeeeeeeeeeeeeeeeee cb g aa cb aa g cb gg b g b b b b bc bc ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4846fdff b,#fe0707ff c,#feb2b2ff d,#c9c7fdff e,#9090ffff f,#fb5558ff g,#0504feff ``` ```image dgg aga egg gge aga dggd aga egg gge aga dggd aga egg cc gge cbbbc aga cbbbbbbf dggd cbbf cbbbbfc aga cbbf cfbbbfc egg a cbbf cfbbbbc gge ge bbf fbbbbf aga ggd bbb cbbbbfc dggd aga bbb cfbbbfc aga dgge bbb cfbbbbc egg eggd fbb fbbbbf gge agg fbbc cbbbbfc aga gga fbbc cfbbbfc dggd dgge fbbc cfbbbfaga eggd fbbc fbfggc aga fbbc dggfbbf dgge fbbc agacbbbbfc eggd fbbc dggd cfbbbfc agg cbbc aga cfbbbbc gga cbbf egg fbbbbf dgge cbbf gge cbbbbfc eggd cbbf aga cfbbbf aga cbbf dggd cfbb dgge cbbf aga f eggd cbbf egg agg cbbf gge ggabbf aga dggbb dggd aggd aga bbgga egg fbbdgge gge fbbc eggd aga fbbc aga dggd fbbc gga aga fbbc dggd egg fbbc egg gge fbbc aga aga fbbc dgge dggd cbbc eggd aga cbbf aga egg cbbf gga gge cbbf dggd aga cbbf egg dggd bbf aga aga bf dgge egg f eggd gge aga aga gge dggd dggd aga egg egg aga gge dgge aga eggd dggd aga aga gge egg dggd gge ``` <!-- end of image --> My analysis confirms the presence of an intersection in area A. I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2c2cffff b,#ff0707ff c,#feaeaeff d,#afaefeff e,#5f5efeff f,#fb5255ff g,#0302feff ``` ```image e g gd dg g ae g gd dg g ae g gd dg g ae g gd dg g ae g gd gd dg g g dg ae ae g gd gd g dg eg g gd ae g g dg gd ae dg g g g ae ea g gd gd g dg dg g ae ae g c g g bbbf gd ea bf fbf dg gd bf fbb g g bb cbbc ae dg fb bbf g ae fb fbf gd g fb ffg g fb gcbbc ea cb ae cbbc gd cb g bbf g cb gd fbb dg cb dg cbb aeb g cbbc g ae bbf bdg g fbf bc ea gd fbb bc gd dg cbbc bc g g bbc bc dg ae fbf bf ae g fb bf g gd bf dg dg bf ea g bb gd ae fb g g fb dg gd fb ge dg fb g g cb dg ae cb aa g cb ggd cb a b b b bc bc bc ``` <!-- end of image -->
I'm ready to tackle this image and find those intersections! I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#ea5d57ff b,#0606feff c,#444beeff d,#fd0807ff e,#fbaeadff f,#a0a4f5ff g,#aed5aeff ``` ```image gggggggggggggggggggg gggggggggggggggggggg gggggggggggggggggggg gggggggggggggggcgggg gggggggggggggggbgggg ggggggggggggggbfgggg gggggggggggggcbagggg ggggggggggggabdagggg ggggggggggddbcgggggg gggggggaddafbggggggg gggggdddgggbgggggggg ggaddaggggccgggggggg eddagggggggbggggggggg addaggggggggbfggggggggg edda ggggggggcbgggggggggg adde ggggggggbggggggggggg edda gggggggbcggggggggggg ddd ggggggfbgggggggggggg edde ggggggbggggggggggggg dda gggggccggggggggggggg adde b edda bf adde fb dda b da bf ed fb d b ad cc d b de bf ed fb d b aa bf d fb f de b cb ed cc bc d b bc aa bf bc d fb bf de b bf ed bf bf d fb b aa b b ggggggggggggggdg cc fbgggggggggggggdgg b fbgggggggggggadgg bf cbggggggggggdggg fb gcbggggggggdaggg b ggcbgggggggdgggg bf gggbbgggggdggggg fb ggggbcgggadggggg b gggggbcggdgggggg cc ggggggbcdagggggg b gggggggbaggggggg bf gggggggdbfgggggg fb ggggggadgbgggggg b ggggggdgggbggggg bf gggggdaggggbgggg fb gggggdgggggfbggg b ggggdgggggggfbgg cc gggadggggggggcbg b gggdggggggggggcb bf ggdagggggggggggcb fb gedgggggggggggggcb b gdgggggggggggggg bc bf adgggggggggggggg bc fb d bf b de bf cc ed bf b d b bf aa b fb d b b de fbbf ed fb d da d de ed d da d d ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fa3b3fff b,#0606feff c,#584ff5ff d,#fe0405ff e,#ffc2c2ff f,#aeaeffff g,#fe8282ff ``` ```image ada gdd ddg gda edde c adg bc gdd bbf ddg fbbf ada cbbf edde cbbf adg cbbf gdd cbbf ddg cbb ada cbb edde bbb adg bbc gdd fbbc edde fbbc ada fbbc edde fbbc ddg fbbcdd fbbae cbbf edcbbf ddgcbbf gda cbbf edde cbb ada cbb gdd bbb ddg bbc gda fbbc edde fbbc ada fbbc gdd fbbc ddg fbbf ada fbbf edde cbbf adg cbb gdd cb ddg c ada edde adg gdd ``` <!-- end of image --> My investigation has led me to an intersection in area A! Now, let's scrutinize the next spot. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#f54d56ff b,#0504feff c,#382ef4ff d,#fe0606ff e,#fea4a5ff f,#c7c7ffff g,#7d7cfeff ``` ```image g gbb bbg gbc fbbf cbg gbbeae fbbaddd ecbcdda adabbae eadddbbg eaddddacbc eadddde fbbf eaddddae cbg eddddae gbb eaddddae fbbf addddae cbc eadddda gbbf addddae bbg ddde gbc ae fbbf cbg gbb fbbf cbc gbbf bbg gbc fbbf cbg gbb ``` <!-- end of image --> My analysis confirms the presence of an intersection in area B. There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fc5154ff b,#0606feff c,#4242ffff d,#fe0606ff e,#feaaabff f,#c2c2ffff g,#8281feff ``` ```image g b bf gba ebda adbg eddefb dda b adde cc edda b adde bf edda gb adde b edda bg add fb edde b dda cc adde b edda bf adde gb dda b de bg ed fb d b ad cc d b de bf ed gb d b aa bg d fb f de b cb ed cc bc d b bc aa bf bg d gb bg de b bf ed bg bf d fb b aa b b d cc fb de b fb ed bf gb d gb gb da b cb d bg cb de fb bc ed b bc d cc bgda b ba bf dbf gb ad bf b d b bg de fb fb ed fb b d fb cc aa gb b d gb bf de cb gb ed cb b d bc bg aa bc fb d bg b de bg cc ed bf b d bf bf aa b gb d fb b de fbbg ed fb d aa d de ed d da d d ``` <!-- end of image -->
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. <!-- image --> ```palette Key,Color ,#fefefeff a,#4446f0ff b,#e06456ff c,#0605fcff d,#b2d7b1ff e,#a2cca1ff f,#fb0a0aff g,#8890e7ff ``` ```image b bfbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee effbddddddddddddddddddddddddddddddddddddddddddde eddffbddddddddddddddddddddddddddddddddddddddddde eddddffeddddddddddddddddddddddddddddddddddddddde edddddeffeddddddddddddddddddddddddddddddddddddde aedddddddeffdddddddddddddddddddddddddddddddddddde gcccgddddddbffdddddddddddddddddddddddddddddddddde edgcccgdddddbffdddddddddddddddddddddddddddddddde eddddeaccaddddbfbdddddddddddddddddddddddddddddde eddddddddacccgddbfbdddddddddddddddddddddddddddde edddddddddddgcccgdffbdddddddddddddddddddddddddde eddddddddddddddeaccaffbdddddddddddddddddddddddde eddddddddddddddddddacccfedddddddddddddddddddddde edddddddddddddddddddddgcccgdddddddddddddddddddde eddddddddddddddddddddddddecccaddddddddddddddddde eddddddddddddddddddddddddddefaccaeddddddddddddde eddddddddddddddddddddddddddddbffgcccddddddddddde eddddddddddddddddddddddddddddddbffdcgdddddddddde eddddddddddddddddddddddddddddddddbffcbbbbbbbbbbbbbdddddd eddddddddddddddddddddddddddddddddddbgcbbbbbbbbbbbbbbbffffffffffffffffffffffffff eddddddddddddddddddddddddddddddddddddcadddddddde edddddddddddddddddddddddddddddddddddddceddddddde edddddddddddddddddddddddddddddddddddddecddddddde eddddddddddddddddddddddddddddddddddddddaadddddde edddddddddddddddddddddddddddddddddddddddcgddddde eddddddddddddddddddddddddddddddddddddddddcddddde eddddddddddddddddddddddddddddddddddddddddacdddde edddddddddddddddddddddddddddddddddddddddddcgddde eddddddddddddddddddddddddddddddddddddddddddcddde eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegceee ca c c aa cg c gc cg c gc ca c c aa cg c gc cg c gc aa c c ac cg c gc cg c gc aa c c ac cg c gc cg c c aa c c ac cg c gc cg c ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#504dfcff b,#fe6869ff c,#0705fdff d,#a29efbff e,#fcb2b4ff f,#fd0809ff g,#8a0b7fff ``` ```image ffb bfffb ebfffb effffb effffe effffe bffffe bfffbe bfffbe bfffb ebfffb ad ebfffb cccad effffb dacccccad effffe dacccccad effffe dacccccad effffe ddacccccad bfffbe dacccccad bfffbe dacccccad bfffb dacccccadd bfffb dacccccad ebfffb dacccccad ebfffb dacccccaddeffffe dacccccadffffe dacccccagfffe daccccccgffe dacccccgge dacccccad dacccccad dgccccccad ebggcccccad effggcccccad efffgaacccccad effffedaccccc effffe dacca bfffbe dccd bfffbedcc bfffbcccbbbbbbbbbbbbbbbbbbbb ebfffccgfffffffffffffffffff eeedcceebbbbbbbbbbbbbbbbb acc cca dccd acc aca ccd dcc aca ccd dccd acc cca dccd acc aca ccd dcc aca ccd ``` <!-- end of image --> My analysis confirms the presence of an intersection in area A. After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3730f7ff b,#fe5757ff c,#0303feff d,#c5c4fdff e,#ff9f9fff f,#fd0708ff g,#7d7afcff ``` ```image e bfb bfe ffe ffe ff g eff gccad eff dcccg eff daccg bfb gccad bfb dcccg bfe daccgffe gccafe gcccg daccg efaccad effgcca efb cg bfbcbbbbbbbeeeeeeeeeeeee egceeeebbbbbbbbbbbbfffffffffffffffffffffffff cg c dc aa cd c gc cg c dc ag c dc aa cd c gc cg c dc ag cd dc aa cd c gc cg c dc aa cd dc aa cd c gc cg c dc aa cd c ga cd c gc cg c dc aa cd c gc cd c gc cg c ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#adadffff b,#fe0605ff c,#0708feff d,#fcaaa9ff e,#aed5aeff f,#f95552ff g,#585bfaff ``` ```image d bb bbd fbd dbf dbb bb fbd dbf dbb bb fbd fbf dbb bb bbd fbf dbf bb eeeeeeeeeeeeeeee bbd eeeeeeeeeeeeeeee fbd eeeeeeeeeeeeeeee dbf eeeeeeeeeeeeeeee bb eeeeeeeeeeeeeeee bb eeeeeeeeeeeeeeee fbd eeeeeeeeeeeeeeee dffbbf eeeeeeeeeeeeeeee ddfbbbbbbffd eeeeeeeeeeeeeeee dffbbbbbbfdd eeeeeeeeeeffbbbbbbffd eeebbbbbbbffeeee eeedeeeeeeeeeeee eeeeeeeeeeeeeeee eeegeeeeeeeeeeee eeegceeeeeeeeeee eeeecgeeeeeeeeee eeeeeceeeeeeeeee eeeeeeceeeeeeeee eeeeeegceeeeeeee eeeeeeecgeeeeeee eeeeeeeeceeeeeee c ac cg ca c ac gc ca c ac gc cg c c gc cg ca c ac cg ca c ac gc ca c ac gc cg c c gc cg ca c ac cg ca aaaaggg c aaaaaggggccccccccccccccccccccggggga acccccccccccggggaaaaa ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#696affff b,#ff0202ff c,#0a0affff d,#ffc8c8ff e,#b9b9ffff f,#ff4444ff g,#ff8a8aff ``` ```image ddgg ddggffbbbbbb ddggfffbbbbbbbbbbbfff dfbbbbbbbbbbbbffggdd dbbbbfffggdd dd aa ecce acc cca ecca ecce acc ccc cca ecce acce acc cca ecce acce ``` <!-- end of image --> There is no intersection present within area A. The image is completely devoid of intersections. Zero.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#8585ffff b,#ff0505ff c,#0404ffff d,#ffabacff e,#c8c8ffff f,#ff5251ff g,#4545ffff ``` ```image d bb bbd fbd dbf dbb bb fbd dbf dbb bb fbd fbf dbb bb bbd fbf dbf bb bbd fbd dbf bb bb fbd dffbbf ddfbbbbbbffd dffbbbbbbfdd ddfbbbbbbffd fbbbbbbfdd d a gc ca ce ec ac cg ce c ac gg ce c ec gg ca c ec gc ca ce ec ac cg ce c ac gg ce c ec gg ca c ec gc ca ce ec ac cg ce c ac gg ce eeeaaaag c eeeeaaaggggcccccccccccccccccccgggaaa eccccccccccggggaaaeee ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0404ffff b,#ff0909ff c,#ff8f8fff d,#9f9fffff e,#ff5454ff f,#ffccccff g,#4747ffff ``` ```image f bbbf fbbc b cbbf fb ebb cb bbe eb fbbc be cbbf be ebb bf bbe bf fbbc fb cbbf fb ebb cb bbe eb fbbc be cbbf bc ebb bf c b fb cb eb bb be bc bf b fb cb eb be bc bf bf g fb da fb ag cb ad eb a be da bc ga bf ad b a fb a cb da eb ag bb ad be a bc da bf ga b ad fb a cb a e da gg ad a da ga ag a a da gg ad a a ga ag ad a da gg ad dgaaaa a dgaaaagd a dgaaaagd da dgaaaagd ag dgaaaagd ad dgaaaagd a dgaaaagd daagd ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#0808fdff b,#ec403bff c,#595df3ff d,#ef867fff e,#afb0fdff f,#aed5aeff g,#fe0504ff ``` ```image e ae a c ae a ea ae a ea ea a a ca cc ffffffffffffffffffafff a fffffffffffffffffacfff cc fffffffffffffffffaffff a ffffffffffffffffaeffff ae ffffffffffffffffaffffb a fffffffffffffffafffdgb ae ffffffffffffffcaffggff ea ffffffffffffffafggdfff a fffffffffffffacgdfffff ea ffffffffffffdabfffffff a fffffffffffgacffffffff cc fffffffffggfafffffffff a fffffffbgdfaffffffffff cc fffffdgbffcaffffffffff a ffffggffffafffffffffff ae ffggfffffccfffffffffff a bgdffffffaffffffffffff ae dgbfffffffacffffffffffff ea gg ffffffffafffffffffffff a gg fffffffaffffffffffffff ea bgd ea a dgb a cc gg cc a gg a cc bgd ac a dgb a ae gg ae a gg ea fffaffffffffffff bgd a ffffafffffffffff dgb ca ffffafffffffffff dgb a ffffcaffffffffff dgb ac fffffaffffffffffdgb a fffffccfffffffbgb ae ffffffafffffbgbf ea ffffffacffbgbfff a fffffffabgbfffff ca ffffffbabfffffff a ffffbgbfafffffff cc ffbgbfffafffffff a bgbffffffaffffff ae bgbffffffffaffffff ea bgd fffffffffcafffff a bgd ffffffffffafffff ea bgd ffffffffffccffff a ggd fffffffffffaffff cc ggd fffffffffffacfff a gd a ae ae a a ae a ea ea a a cc ea a a ac cc a a ae ac ea a a ae ca a a a cc ea a a ae ea ea a a cc ea a a ac cc a a aae a ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fb5457ff c,#7a77fcff d,#ffd2d2ff e,#c5c5ffff f,#4641f9ff g,#fe0101ff ``` ```image caf eaae fac eaa fac eaa aac caa aae caf aae d caf dbg eaae dbggg fac dbgggbd eaa dbgggbd fac dbgggbd eaa dbgggbd aacbgggbd caaggbd dbgaabd dbgggfaf dbgggbd aae dbgggbd caf dbgggbd eaae dbgggbd fac dbgggbd eaa gggbd fac gbd eaa d aac caa aae caf aae caf eaae fac eaa fac ``` <!-- end of image --> Success! This area contains an intersection point! Let's inspect the next region. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#0706fdff b,#ff4a4aff c,#aeaafaff d,#fea5a5ff e,#72129eff f,#5353ffff g,#fe0607ff ``` ```image aac faf caa aaf caa aac faa aac faf caac faf dg caa dggg aac dbgggd faa bgggd aac dgggb faf dgggbd caacbgggd faegggd caaggb daaebd dbeaad bggaac dgggeaf dgggbcaac dbgggd faf bgggd caa dgggb aaf dgggbd caa dbgggd aac bgggd faf dgggb aac dgggbd faf dbgggd caa bgggd faf dgggb caa ggbd aac gd faa aac faf ``` <!-- end of image --> Incredible, there's actually an intersection in area B! The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fc484bff c,#8483feff d,#fe898aff e,#c7c5fcff f,#4140fdff g,#ff0505ff ``` ```image e ac a f ae a ea ae a ea ca a a cf cf a a fc fc a a ae ac ea b a a dgb ae ca gg ea a gge a ffgd ca dab a gac cf ggea a bgd ae fc dgb ca a gg a ac gg ff a bgd a ae dgb ac ea gg ea a gg ae ca bgd ca a dgb a cf gg ff a gg a fc bgd ac a dgb a ae gg ae a gg ea ae bgd a ea dgb cf a dgb a ca dgb fc a dgb a cf bgb ae a bgb ea fc bgb a abgb ca bab a bgb a ff bgb ae a bgb ea ac bgd a ea bgd ca ae bgd a ca ggd cf a ggd a ff ggd fc a gd a ac ae ea a ae ae ea ea a a cf cf a a fc ff a a ae fc ea a a ae cf a a ae fc ea a a ae cf ea a a ff ca a a fc ff a a aac ea ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0707ff b,#0303feff c,#f75955ff d,#4347f8ff e,#a0a2f9ff f,#acd3acff g,#ffb3b3ff ``` ```image e ebbbd dbbbde edbbbe ebbbde dbbbde edbbbe ebbbde dbbbde edbbbe ebbbde bde bd be be g be ac eb a eb cc eb a db ga db ag db a bd ag bd a bd ffccffffffffffff be fffaffffffffffffbe fffcaffffffffffbe ffffafffffffffbf fffffaffffffebff fffffafffffebfff ffffffafffdbffff ffffffacfdbfffff fffffffadbffffff fffffffbbfffffff ffffffbdafffffff fffffbdfcaffffff ffffbdfffaffffff fffbdfffffafffff ffbeffffffacffff fbfffffffffaffff ebffffffffffacfff ebffffffffffffafff eb ffffffffffffcaff d fffffffffffffaff ga ag a ag a ga cc ca a ac ga cag a aa ga gag ag aa a gag ac aa a gac cc ca a ac ga cag ag aa a cag ag aa a gag cc aa a gac ca ca a ac ga cag ag aa a cag ac aa a gag cc aa a gac ga ca agac ga ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0405ff b,#0806fdff c,#fc787aff d,#4c4cffff e,#adadfeff f,#ff3737ff g,#ffbebeff ``` ```image fac gaa fac gaag caf aag d caf db aac bbb gaa ebbb fac ebbd gaag ebbd faf ebbd gaag ebbd caf ebbd aag dbbd caa dbbe fac dbbe gaa dbbe facdbbe gabbbe bbbe ebbbag ebbdcaf ebbd aac ebbd caa ebbd fac ebbd gaag dbbe faf dbbe gaag dbbe caf dbbe aag dbbe caa bbbe fac bbb gaa bb fac d gaag faf gaag caf aac ``` <!-- end of image --> My investigation has led me to an intersection in area A! The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff0303ff b,#0706feff c,#ff7979ff d,#5858ffff e,#b0b0ffff f,#ff3434ff g,#ffc1c2ff ``` ```image e ebbbb dbbbde edbbbd ebbbbe edbbbde edbbbd ebbbbe edbbbde edbbbd dbbbbe bde bd be be g be fc eb a eb cf eb a db ga db ag bb ga bb ac bd a bd fc bd a be cf be a eb ga eb ag eb a db fc db adb bb bda bd ca bd ag be ga be ag be a eb fc eb a eb cf d a ga ag a ac a ga ff fa a af ca cag a af ga cag ag aa a gac fc fa a gac cf fa a af ga cag ag af ga cag ac aa a gac ff aa a gac cf fa a af ga cag ag af a cag fc aa a gac cf aa a gac ca fa agaf gag ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. I'm extremely confident. No intersections at all.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#3a3affff b,#ff0707ff c,#ffaaaaff d,#7f7fffff e,#ff5555ff f,#0404ffff g,#c3c3ffff ``` ```image g aa fa fd fg f gf df af fa fd fg f gf df af fa fd fg f gf df af aa g fd dff fg afa f gffd gf dffg gf afa df gffd aa aff fd gffd fg dffg fg afa f gffd gf dffg df afa aa gffd fd aff fg gffd fg dffg f afa gfd bbbc cbc bbe eb cbbc be bbe cbc ebbc bb cbbe be ebb cbc cbbe bb ebb be cbbc eb bbe bb cbbc be bbe eb ebbc bb cbbe cbc ebb eb cbbe bb ebb cbc c eb be cbc bb be cbc bb be ``` <!-- end of image -->
This image looks interesting. I wonder if there are any intersections hidden in there? I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#4342f4ff b,#fd0707ff c,#858cf2ff d,#ec6c63ff e,#0505feff f,#e2cbe8ff g,#aed5aeff ``` ```image f fdbbbb gggggggggggggggggggggggggg dbbbbdf gggggggggggggggggggggggggg fdbbbdf gggggggggggggggggggggggggg fdbbbbd gggggggggggggggggggggggggg dbbbbdf gggggggggggggggggggggggggg fdbbbdf gggggggggggggggggggggggggg fdbbbbd gggggggggggggggggggggggdbbbbdf gggggggggggggggggcddbbbbdg fffdddddbbbbbbbbbbbaeebdgggggg bbbbbbbbbbbbbbbbbdddddddgggggggggeegceggggggg ggggggggggggaecgggecgggggg gggggggggggeeggggggegggggg gggggggggaeggggggggaeggggg ggggggggeaggggggggggeggggg ggggggeegggggggggggggegggg ggggceaggggggggggggggaaggg gggeegggggggggggggggggeggg gceaggggggggggggggggggcegg ee ec cec e ee ce aef ef ea fe aef aa fea e aef ce fea ec ee e cec ca ee ef cec fe a aa e ce ec e aa ef fe ac e ce ec e aa ef fe ec e ce ef e aa e fe ec e ce ef e aa e fe ec e ce ef e aa e fe ec e ce ef e aa e ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a59fdff b,#fe0303ff c,#b0b0ffff d,#f53b45ff e,#0907fdff f,#ffbfbfff g,#fa797eff ``` ```image fgddb ffgdbbbbbb cc fgdbbbbbbbdgf fffffffgggggggeeedbbbbbdgff ggggggddddddbbbbbbbbbbbbbbbbbbbdeeeeeddgf bbbbbbbbbbbbbbbbbbbbbbddddddggeeeageea dgggggggfffffff aeeec ceec ceeea aee aeeec eec ceeea cee aeeec aea ceeea ceec aeeac aee ceeec eea caeea ceec aeeec aea ceeea eec aeeec cee ceeea aea aeeec ceec ceeea aee aeeec eea ``` <!-- end of image --> Aha! I've found an intersection inside area A! The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4541fbff b,#fe0607ff c,#8989ffff d,#ff5959ff e,#0505ffff f,#ffa4a4ff g,#cacaffff ``` ```image f dbbbb fbbbbd fdbbbdf dbbbbf fbbbbd fdbbbdf dbbbbf fbbbbd cfdbbbdf ffffddddbbbbbbbbbbaeebf bbbbbbbbbbbbbbbbbddddffff ee ge aeg ec ea e aeg ce gea eg aeg e gea aa ee e cec ge ee ec cec e ee ce aeg eg ea ge aeg aa gea e aeg ge gea ec ee e cec ca ee eg cec ge a aa e ce ec e aa eg ge ac e ce eg e aa eg ge ec e ce eg e aa e ge ec e ce eg e aa e ge ec e ce eg e aa e ge ec e ce eg e aa e ``` <!-- end of image -->
I'm approaching this image with caution. Intersections might be tricky to spot. There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ed5e57ff b,#0808fdff c,#6b72f1ff d,#fd0807ff e,#feb3b3ff f,#b0d6b1ff g,#99c696ff ``` ```image eda d dd ed ad d ede d da de dd d dd aa ed d ede aa da d dd ed ad d ede ed da de dd d ad de ed d de gffffffffffffffg aa da gfffffffffffffff d dd gfffffffffffffff aa ad gfffffffffffffff d ede gfffffffffffffff ed da gfffffffffffffff d ddgfffffffffffffff ed adfffffffffffffff de adgfffffffffffff d gfdaffffffffffff de gffddfffffffffff d gfffddffffffffff aa gffffadfffffffff d gfffffgdafffffff aa gfffffffdaffffff d gffffffffddfffff ed gfffffffffadffff d gffffffffffgdgff ed gffffffffffffdff gffffffffffffdgg gfffffffffffffff fffffffffffffdfg gfffffffffffffff ffffffffffffdafg gffffffffcbbbbff ffffffffffffdffg gfffcbbbbccfffff fffffffffffdaffg cbbbbcgffffffffff fffffffffffdfffg cbbbbcgfffffffffffffff ffffffffffaafffg fcbbbbc gfffffffffffffff ffffffffffdffffg fcbbbbc gfffffffffffffff fffffffffadffffg ccbbbbc gfffffffffffffff fffffffffdfffffg cbbbbbc fggggggggggggggg ffffffffgdfffffg cbbbbcc ffffffffdgfffffg fcbbbbbcf ffffffffdffffffccbbbbbc fffffffdacbbbbbbc ffccbbbbbccffffg ccbbbbbcgfaafffffffg bbcc ffffffdffffffffg fffffaaffffffffg fffffdfffffffffg ffffadfffffffffg ffffdffffffffffg fffgdffffffffffg fffdgffffffffffg fffdfffffffffffg ffdafffffffffffg ffdffffffffffffg faaffffffffffffg fdfffffffffffffg adfffffffffffffg dggggggggggggggf ed d ed de d de d aa d aa d ed d ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fa4146ff b,#0302feff c,#4a46fbff d,#fe0404ff e,#fcced0ff f,#9999ffff g,#fd8587ff ``` ```image edd ada edde gda dde gda ddg gdd adg edd adg edde ada edde gda dde gda ddg gdd adg edd adg edde ada edde gda dde gda ffccbb ddgffccbbbbbbbb fffcbbbbbbbbbccff ffccbbbbbbbbbccff ffccbbbbbbbbbccaae bbbbbbccffe adg ccff edde ada edde gda dde gda ddg gdd adg edd adg edde ada edde gda dde gda ddg gdd adg edd adg edde ada edde gda ``` <!-- end of image --> Oh my, look at that! It's an intersection in area A! Now, let's dive into another area. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff4949ff b,#0606ffff c,#4b4bffff d,#ff0707ff e,#ffcbcbff f,#a3a3ffff g,#ff8e8eff ``` ```image g dg dda gddde eddde addg adda gddae eddde eaddg adda gdda eddde eddde addg gdda gddae eddde eaddg adda gdda eddde edddg add ge ffccbc ffcbbbbbbbc ffcbbbbbbbbcff ffcbbbbbbbbcff ffcbbbbbbbbcff bbbbbbbccff bbccff f ``` <!-- end of image --> This isn't an intersection in area B, but I'm not discouraged. I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff4545ff b,#0707ffff c,#6464ffff d,#ff0606ff e,#ffc2c2ff f,#b6b6ffff g,#fd8182ff ``` ```image e gda d dd ed ad de ede d dg de da d ad ag gd d ede ga da d dd gd ad d ede ed dg de dd d ad de gd d dg ag da d dd ga gd d ede gd da d dd ed ad de ede d dg de da d ad ag gd d ede ga da d dd gd ad d ede ed d de d de cbbbb d cbbbbcf ag fcbbbbcf d fcbbbbcf ga fcbbbbcf d fcbbbbc gd fcbbbbc d fcbbbbf ed fcbbbbcf de fcbbbbbcf d fcbbbbbcf dgcbbbbbcf fcbbbbbcf fcbbbbbcf ag bbcf d ga d gd d ed de d dg d ag d ga d ed d ed de d dg d ag d ga d ed d ``` <!-- end of image -->
I'm analyzing this image to identify any points where lines intersect. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#ea766cff b,#555dedff c,#fb0c0cff d,#99c39aff e,#b1d7b1ff f,#0808fdff g,#b3b4feff ``` ```image g bf ff fb fb fg fg fg f f gf gf gf bf bf ff fb fb fb fg fg fg f gf deedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeed deeebfeeeeeeeeeeeeeeeeeeeeeeeeeeeed deeeebfeeeeeeeeeeeeeeeeeeeeeeeeeeed deeeeebfeeeeeeeeeeeeeeeeeeeeeeeeeed deeeeeebfeeeeeeeeeeeeeeeeeeeeeeeeed deeeeeeeffeeeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeffeeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeefbeeeeeeeeeeeeeeeeeeeeeed deeeeeeeeeefbeeeeeeeeeeeeeeeeeeeeed deeeeeeeeeeefbeeeeeeeeeeeeeeeeeeeed deeeeeeeeeeeefdeeeeeeeeeeeeeeeeeeed deeeeeeeeeeeeefdeeeeeeeeeeeeeeeeeed ggbbffff cccccccaaa deeeeeeeeeeeeeefeeeeeeeeeeeeeeeeeed ggbbffffffffbbg aaccccccccccaadeeeeeeeeeeedfeeeeeeeeeeeeeeedbbbffffffffbbgg aaccccccccccaadedfeeeddbbfffffffffbgg deeeeeeeeedaacccccfffffbbdeeeeeeeed deeeeeeeeeeeeeeeeeaceeeeeeeeeeeeeed deeeeeeeeeeeeeeeeeedceeeeeeeeeeeeed deeeeeeeeeeeeeeeeeeedcdeeeeeeeeeeed deeeeeeeeeeeeeeeeeeeeecaeeeeeeeeeed deeeeeeeeeeeeeeeeeeeeeecaeeeeeeeeed deeeeeeeeeeeeeeeeeeeeeeecaeeeeeeeed deeeeeeeeeeeeeeeeeeeeeeeecceeeeeeed deeeeeeeeeeeeeeeeeeeeeeeeecceeeeeed deeeeeeeeeeeeeeeeeeeeeeeeeecceeeeed deeeeeeeeeeeeeeeeeeeeeeeeeeecceeeed deeeeeeeeeeeeeeeeeeeeeeeeeeeeaceeed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeaceed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaced deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedcd deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedc deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedce ca ca ca cc cc cc ac ac ac ec c ce ca ca ca cc cc cc ac ac ac ec c c ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff5a5aff b,#5555feff c,#ff0808ff d,#9e1d7eff e,#ffb1b1ff f,#0606feff g,#b6b6feff ``` ```image ffb gffb gffb gffb gffb gffg gffg bffg bffg bffg bffg bff fff ffb gffb gffb gffb gffb gffb gffg bffg bffg bffg bffg bffg bff fff ffb aaaeeee gffb ggg cccccccccccaaaeeee gffb gggbbbbffffff eeaaacccccccccccccccccaaaaeee gffb gggbbbbffffffffffffffffb eeeeaaacccccccccccccccccdffbbbffffffffffffffffbbbbggg eeeeaaaaccccccdfffffffffbbbbggg eeeeddddgg ecca ecca eccc eccc ccce ccce acce acce acce acca acca ecca ecca ecca eccc eccc ccce ccce acce acce acce acca acca ecca ecca ecca ecc ec ``` <!-- end of image --> I observe an intersection inside area A. I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fb5457ff b,#3939ffff c,#ff0505ff d,#7b7bffff e,#ffb8b8ff f,#0303ffff g,#c2c2ffff ``` ```image g bf bb fb fd fd fg fg fg f gf gf df df bf bb fb fb fd fd fg fg f gf gf gf df df bf bb fb fd fd fg fg fg gddbffff cccccccaaee f ggdbfffffffbbdgg eeaaccccccccaaee gf ggdbffffffffbdgg eeaaccccccccaaee gf ggdbbfffffffbddg eeaacccaffffbddg ec ec ce ce ce ca ca ca cc ac ac ac ec ec ce ce ce ca ca ca cc ac ac ac ec ec ece ce ce ca ca ca cc ac ac ac ec ec ece c ``` <!-- end of image -->
This image might have some surprises. Let's look for intersections carefully. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#f2847eff b,#0c0dfcff c,#fe0606ff d,#f0c8d6ff e,#aed5aeff f,#747af2ff g,#f34643ff ``` ```image d ac cag gg c c ac ca cd c dc cd cd dc c cd ga dc c c gg ac c b c ac bf gg c fb c dc b ga cd bd c c bf ca ca fb dc c b cd gg bd dc c bf c ac fb ac c b c dc b ag cd bf c dc fb gg ca db c c b ca eggeeeeeeeeeeeeebf c eeceeeeeeeeeeeebb cd eegceeeeeeeeeeeb dc eeeceeeeeeeeeebe cd eeeaceeeeeeeebfe dc eeeeceeeeeeebbee c eeeeeceeeeefbeee ac eeeeecaeeeebeeee c eeeeeeceeebfeeee gg eeeeeeggebbeeeee c eeeeeeecfbeeeeee ga eeeeeeegbeeeeeee c eeeeeeebgeeeeeee ca eeeeeebbaceeeeee dc eeeeefbeeceeeeee cd eeeeebeeeeceeeee dc eeeebeeeeecaeeee c eeebbeeeeeeceeee ac eefbeeeeeeecgeee c eebeeeeeeeeeceee ag ebeeeeeeeeeeggee c bfeeeeeeeeeeecee gg fbeeeeeeeeeeeeace eeeeeeeeeeece beeeeeeeeeeeeeece eeeeeeeeeecae b dc eeeeeeeeeecee bf cd eeeeeeeeecaee fb c eeeeeeeeeceee db ca eeeeeeeeceeee b c eeeeeeeaceeee bf gg eeeeeeeceeeee fb c eeeeeegceeeee db ac eeeeeeceeeeee b c eeeeeggeeeeee bf dc eeeeeceeeeeee fb cd eeeecgeeeeeee db dc eeeeceeeeeeee b ca eeecaeeeeeeee bf c eeeeeeeeeeeee bb gg eeeeeeeeeeeee db c eeeeeeeeeeeee dfbb ag eeeeeeeeeeeee ffbbbbbbff c eeeeeeeeeeeee ffbbbbbbfd dc eeeeeeeeeeeee dfbbbbbbffd cd eeeeeeeffbbbbbbff dc eeebbbbbffeee ca eeeeeeeeeeeee c eeeeeeeeeeeee ga c ag c ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#ff8989ff b,#0707ffff c,#ff0606ff d,#b4b4ffff e,#ffc8c8ff f,#6060ffff g,#ff4040ff ``` ```image gca acc cca acc cca acg ecce gcg ecce gcg ecce gca acc cca acc cca acg cce gcg ecce gcg ecce gca ecc gca acc cca acc cca ecg e ddf dddffbbbbbb ddfffbbbbbbbbbbbff dbbbbbbbbbffdd bfffdd ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area A. Time to investigate another area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe5f5fff b,#0605fdff c,#fd090aff d,#c9c9ffff e,#feb0b1ff f,#4545feff g,#8d8dfeff ``` ```image cca ecc aca ecce aca f cce gb acc dbb cce bbf ecc fbb cca gbbd ecc dbbg aca bbf ecce fbf aca gbbd cce dbbg acc bbf cce fbf acc gbbd cca dbbg ecc dbbg cca fbf ecc gbbd acadbbd eccbbg abbf fbbe gbbcc dbbgcce fbf ecc fbb cca gbbd ecc dbbg aca fbf ecce fbb aca gbbd cce dbbg acc bbf cce fbb ecc gbbd cca dbbg ecc bbf aca fbf ecce gbbd aca dbbg cce bbf acc bf cce bd ecc g cca ecc ``` <!-- end of image --> My investigation has led me to an intersection in area B! I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#fe8181ff b,#0909ffff c,#ff0505ff d,#b5b5ffff e,#ffc4c4ff f,#6060ffff g,#fd3f41ff ``` ```image e ac cag gg c c ac ca ce c ec ce ce ec c ce ga ec c c gg ac c b c ac bf gg c db c ec b ga ce bd c c bf ca ca fb c c b ce gg bd ec c bf c ac fb ac c b c ec b ag ce bf c c fb gg ca db c c b ca gg bf c c fb ce ag db ec c b ce ec bd ec ce fb c ec db ag ca b c c bd gg ga fb c cdb ga ab c bg ca bfac ec db ce ce b ec ec bd ce c bf c ac db ga c b c ag bd gg c bf c ga fb ac c b c ca b ec c bf ce ce fb c ec db ca ce b c ec bf gg c fb c ag db ac c b c gg bd ec c fb ce ga db c c b ca ce bd c fb gg db c dffb ag dfbbbbbbfd c dfbbbbbbfd ec dffbbbbbfdd ce dfbbbbbbfd ec bbbbbfd ca c ga c ag c ``` <!-- end of image -->
This is the image I'm working with. The goal is to count the intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#5e66eeff b,#fe0908ff c,#ed5d5cff d,#aed4aeff e,#0b0bfcff f,#feafafff g,#b1b1ffff ``` ```image f bf b bf e fb eee b ea eg fb ge e b e e cc ea ge b ge ee cc e ea b eg eg bf ae e b e ge bf eg ae fb ae ea b e eg fb e e b ea ge cc ge ae b e ea cc ea eg b ge e bf e ge dddbdddddddddead ae dddbddddddddaedd ea ddddbdddddddeddd eg ddddbddddddedddd e ddddcbddddeedddd ge dddddbddddeddddd ae dddddccddedddddd ea ddddddbdeadddddd eg ddddddbceddddddd e dddddddedddddddd ge ddddddeccddddddd ae dddddaedbddddddd ea dddddeddbddddddd eg ddddeadddbdddddd e dddaeddddbdddddd e dddedddddcbddddd ae ddedddddddbddddd ee deedddddddccdddd eadddddddddddddd dedddddddddbdddd dedddddddddddddd eddddddddddbcddd ddeddddddddddddd ea b ddaedddddddddddd ge bf dddeeddddddddddd e b ddddeaddddddcbdd eg bf dddddedddddbbddd ae fb ddddddedddbcdddd e b ddddddaecbdddddd eg fb dddddddeeddddddd ae b ddddddbbeadddddd e cc dddddbcddedddddd e b dddcbdddddeddddd ea cc ddbbddddddaedddd g b dbcddddddddaeddd bf cbdddddddddddeadd b bbdddddddddddddedd b bc dddddddddddddddd fb fbf dddddddddddddddd b bb dddddddddddddddd fb bc b fbf cc cb b bb bc fbf b cb bf bb b bc b cb fb bb b bc fb fbf b bb cc bc b fbf bc cb b bb bfbf b ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#312dfaff b,#fd0809ff c,#f75d64ff d,#6f6fffff e,#0303feff f,#ffbbbbff g,#b9b9ffff ``` ```image bbf ae cbb dee bbf geeg cbc aed bbf dea cbc geeg fbb eed cbc dea fbb geeg bbc eed fbb aea bbf deeg cbb geeg bbf aea cbc dee fbbf geeg cbc aed fbb dea cbceeg fbeed aea geeb eecbf aeacbb dee bbf geeg cbc aed fbbf dee cbc geeg fbb aed cbc dea fbb geeg bbf eed fbb aea bbf geeg cbb geed bbf aea cbc dee fbbf geeg cbc aed fbb ``` <!-- end of image --> There is an intersection point visible in this close-up of area A. Now, let's turn our attention to the next spot. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#3d3afcff b,#fd0b0cff c,#fe6d6eff d,#7f7fffff e,#0604fdff f,#ffbfbfff g,#c3c1fdff ``` ```image aea geed geed deeg aeeg aea eea geed deeg deeg aea eea fbc geed cbbb deeg cbbc deeg fbbbc aea fbbbf eea cbbc geed fbbbc geegfbbbf deebbb aeec fbbeea cbbbgeed cbbc geeg fbbbf deeg cbbbf aee cbbc aea fbbbc geed fbbbf geed cbbc deeg fbbbc aee fbbbf aea cbbb geed bbc geed bf dee f d ``` <!-- end of image --> Case closed! This is definitely an intersection point in area B. There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3c3bfdff b,#ff0808ff c,#fa575cff d,#8686ffff e,#0404feff f,#ffb0b0ff g,#ccccffff ``` ```image f bf b bf ge fb eaa b aa ed fb ge eg b e ge cc ed de b de aa cc e ed b ed eg bf de e b e de bf eg aa fb aa ed b ge eg fb eg e b aa ge cc ge ae b e ed cc ed eg b de e bf e ge b ed ae bf de ea fb e eg b eg e fb aa ge b ge de cc e ea b aa eg cce e e ge ecf de de b aa e bf ed eg fb e aa b ge e fb de eg b aa aa cc ed ge b eg e cc ge ed b de de bf aa e b ed fb ed bf eg bb de fb e bc e b defbf eg fb ae aa b bbed ge cc fbf eg eg b cb e aa cc bb ge g b bc ae bf cb ed b bb e b bc fb fbf b bb fb bc b fbf cc cb b bb cc fbf b cb bf bb b bc b cb fb bb b bc fb fbf b bb cc bc b fbf bf cb b bb bfbf b ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#0304fdff b,#fb0909ff c,#7784e1ff d,#b2d7b2ff e,#e36154ff f,#353cefff g,#a2cba1ff ``` ```image d fc a ca ac a cf a a fc a ca ac a ff a a fc a ca ac a ff a a ac a ca ad a ff a a gggggggggggggggggggggggggggggggggggggggggggggggggggggggggg acgddddddddddddddddddddddddddddddddddddddddddddddddddddddddg agddddddddddddddddddddddddddddddddddddddddddddddddddddddddg caddddddddddddddddddddddddddddddddddddddddddddddddddddddddg acdddddddddddddddddddddddddddddddddddddddddddddddddddddddg gadddddddddddddddddddddddddddddddddddddddddddddddddddddddg gffddddddddddddddddddddddddddddddddddddddddddddddddddddddg gdadddddddddddegdddddddddddddddddddddddddddddddddddddddddg gdcadddddddddbebbbeddddddddddddddddddddddddddddddddddddddg gddacdddddddbedddgebbbeddddddddddddddddddddddddddddddddddg gdddaddddddbbddddddddgbbbbgddddddddddddddddddddddddddddddg gdddcaddddebdddddddddddddebbbegddddddddddddddddddddddddddg gddddacddebddddddddddddddddddebbbegddddddddddddddddddddddg gdddddadebdddddddddddddddddddddddebbbedddddddddddddddddddg gdddddffbdddddddddddddddddddddddddddgebbbedddddddddddddddg gdddddgagdddddddddddddddddddddddddddddddgbbbbgdddddddddddg gdddddbcadddddddddddddddddddddddddddddddddddebbbegdddddddg gddddbgdacddddddddddddddddddddddddddddddddddddddebbbeddddg gdddbedddaddddddddddddddddddddddddddddddddddddddddddebbbeg gddbeddddcaddddddddddddddddddddddddddddddddddddddddddddgeb gdbbddddddagddddddddddddddddddddddddddddddddddddddcfaaaaaf gebdddddddgaddddddddddddddddddddddddddddddgcfaaaaafcgddddg ebdddddddddffddddddddddddddddddddddgcfaaaaafcgdddddddddddg dbdddddddddddadddddddddddddddgcfaaaaafcgddddddddddddddddddg bgdddddddddddcadddddddgcfaaaaafcgdddddddddddddddddddddddddg b gddddddddddddaccfaaaaafcdddddddddddddddddddddddddddddddddg b gdddddddddddddafcddddddddddddddddddddddddddddddddddddddddg bd gddddddddddddddddddddddddddddddddddddddddddddddddddddddddg be gddddddddddddddddddddddddddddddddddddddddddddddddddddddddg be gddddddddddddddddddddddddddddddddddddddddddddddddddddddddg bb gggggggggggggggggggggggggggggggggggggggggggggggggggggggggg eb eb db b b b bd be be bb eb eb db b b b bd ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fe0506ff c,#9898feff d,#fe9d9dff e,#fe5050ff f,#4e4cfdff g,#e5d5eeff ``` ```image g f ac aag faf gaag faa aac caag faf gaac faf dbbbbeed gaag dbbeebbbbbedd faf dbbe debbbbbbedg aac gbbe gdebbbbbbedg caag gbbe gdebbbbbbed faf gbbe ddebbbbbeed gaac ebb deebbbbbed caa ebbg gdebbbbbedg aaf ebbg gdebbbbbedg gaag bbd gdebbbbbbed faf dbd ddebbbbbeed gaac dbd debbbbbbedg caagdbb gdebbbbbbedg fafbbe gdebbbbbbedg gaabe gdebbbbbbed gfaag ddebbbbbedd ebaaf debbbbbbed ebbcaag gdebbbbbedg ebbg faf gdebbbbbedg ebbd gaa gdebbbbbbed dbbd cag ddebbbbbedd dbbd ff debbbbbbedg dbbe gac gdebbbbb gbbe aa gdeb gbbe aaf gccffaaa bbe caag gccffaaaaaaaaaa ebbg faf gcffaaaaaaaaaaffccg ebbg gaac ggccffaaaaaaaaaffccg ebbg caag ggccffaaaaaaaaaafccg dbbd gaac gccffaaaaaaaaaaaffccg bbd caa ccffaaaaaaaaaaaffccg be aaf gccffaaaaaaaaaffcccg e caag gccffaaaaaaaaaffccgg faf gccffaaaaaaaaaaffccgg gaacccffaaaaaaaaaaffccg caaaaaaaaaffccg faffccg ``` <!-- end of image --> Gotcha! I've found the intersection hiding in area A! After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505ffff b,#fd0708ff c,#8c8cffff d,#ffa0a0ff e,#fe5253ff f,#4847feff g,#c8c7fdff ``` ```image g ff a ca ac a ff ag ga ac a ca ag a ff ag ga ac a ca ag a ff a ga ac a ca ag a ff a ga ac a ca ag a ff a e ga bebbbd ac be ebbbd a be debbed ca eb dbbbe ag eb dbbbe a db ebbbd ffb ebbbd a debbed bga dbbbe bd ac dbbbe bd a ebbbd be ca eb be ag cfaaaaaf eb a cfaaaaafcg eb ff gcfaaaaafcg db a gcfaaaaafcg db ga gcfaaaaafc b accfaaaaafc b afg bd bd be bb eb eb db b b b bd bd be bb eb db db b b b bd ``` <!-- end of image -->
I have an image in front of me. I need to determine if there are any intersection segments. 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,#f94744ff b,#0606feff c,#fe0505ff d,#9fa0fbff e,#f49e99ff f,#aed5aeff g,#4e4bf3ff ``` ```image e c c aa c c aa ec c ca ec c ce ec c ce ec c ce g ec gb c bd ce b ac db c bd ce b aa db c bg c b aa db c gg c b aa b c gb c bd aa b ec db c bd ca b ec db c bg ce b ec db c gg ce b ec b c gb ce bd ec b c a db ce ecce bd ac cca b c acc db ce ecce bg aa aca fffffffbffffffffffffff c ecce ffffffffbfffffffffffff c ccafffffffggffffffffffff aa accffffffbffffffffffff c ffecceffffbfffffffffff c fffffccaffgbffffffffffaa fffffffaccfbdfffffffffc fffffffffeccbffffffffc ffffffffffffgbafffffca fffffffffffffbgccefecf ffffffffffffffbffcccff ffffffffffffffdbfffeff fffffffffffffffbgfffff ffffffffffffffffbfffff fffffffffffffffffbffff fffffffffffffffffggfff ffffffffffffffffffbfff bbbgd dbbbbgd dgbbbbd dgbbbbgd dbbbbgd dgbbbbd dgbbbbgd dbbbbgd dgbb ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fb5e62ff b,#0504feff c,#fd0809ff d,#7b75f9ff e,#ffb5b5ff f,#c1c1feff g,#3f35f4ff ``` ```image bbd fbbf dbb gbg fbbf e dbb ccae gbg ccccae fbbd eacccca dbbf accccae gbg eccccae bbd eacccca fbbf accccae dbg eacccce bbd eaccccaefbbf eccccadbb eacccbbg a accbbae ec egbbcae cc gbgccca acc fbbdccccae ecce dbbfeacccce cca gbg eacccccc bbd eccce fbbf ee dbg bbd fbbf dbb gbg fbbf dbb gbg fbbd dbbf ``` <!-- end of image --> I can confirm that an intersection exists in area A. One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ff4b4bff b,#0606feff c,#fe0505ff d,#9b9bffff e,#ffa3a3ff f,#ecdbeeff g,#534ef9ff ``` ```image e fc cf aa fc cf aa ec c ca ec c ce ec c ce ec c ce g ec gb c bd ce b ac db c bd ce b aa db fc bg cf bf aa fb fc gg cf bf aa fb fc gb cf bd ca b ec db c bd ca b ec db c bg ce bf ec fb c gg ce bf ec fb c gb ce bd ec b c af db ce ecce bd ac fcca b c accf db ce ecce bg aa aca bf fc ecce fb cf fcca gg aa accf bf fc ecce fb cf fcca gb aa accfbd fc eccb cf gba ca bgcce ec b fccc db e bg bf fb gg bf fbbbgf fdbbbbgd dgbbbbdf dgbbbbgf fdbbbbgd dgbbbbdf dgbbbbgf fdbbbbgd dgbb ``` <!-- end of image -->
Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. After a thorough analysis, I conclude that there are no intersections in this image.
0
<!-- image --> ```palette Key,Color ,#fefefeff a,#0202ffff b,#ff0707ff c,#7676ffff d,#ff6161ff e,#ffb4b4ff f,#3333ffff g,#bdbdffff ``` ```image e dbbbbbbe edbbbd ebbbe edbbbd dbbd ebbbbe dbbd dbbbde dbbd dbbbde dbbbe edbbbd ebbbe edbbbd ebbbe bbbe ebbbe dbbd dbbd dbbd gaf dbbbe a caf ebbb cf caf e a caf cf caf a caf fc caf a caf ac caf a caf ag caf ga caf ag caf ga caf a caf cf caf a caf cf caf a caf fc caf a caf fc caf a c ag ga ag ga a ca a cf a fc a fc a ag ga ag ga a ca a cf a fc a fc a ag a ag ga a ga a cf a ff a fc a ag a ag ga a ``` <!-- end of image -->
The hunt for intersections begins! Let's analyze this image closely. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ec5450ff b,#0707fdff c,#4b47e5ff d,#eba298ff e,#fc0707ff f,#9199efff g,#b0d6b0ff ``` ```image ae ggggggggggggggggeaeggggggggggggggggg gggggggggggggggeageggggggggggggggggg gggggggggggggggeggdegggggggggggggggg ggggggggggggggedgggegggggggggggggggg gggggggggggggdeggggdeggggggggggggggg gggggggggggggeggggggedgggggggggggggg ggggggggggggaagggggggegggggggggggggg ggggggggggggegggcbgggeaggggggggggggg gggggggggggeaggbbfbfggeggggggggggggg ggggggggggdegcbfgggbcgaagggggggggggg ggggggggggegbbggggggbbgegggggggggggg gggggggggaabfggggggggcbaeggggggggggg gggggggggbbggggggggggggbcggggggggggg gggggggfbcggggggggggggggbbgggggggggg ggggggbbeggggggggggggggggcbggggggggg gggggbcedgggggggggggggggggebfggggggg gggcbgdeggggggggggggggggggeabcgggggg ggbcggeggggggggggggggggggggegbbggggg cbgggaeggggggggggggggggggggaagcbgggg bbggggeggggggggggggggggggggggegggbcgg fbfggggeaggggggggggggggggggggggaegggbbg bb ggggeggggggggggggggggggggggggeggggcb fbf gggedggggggggggggggggggggggggdeggggfbf bb ggdeggggggggggggggggggggggggggedgggg bc fbf ggeggggggggggggggggggggggggggggegggg bb bb gaaggggggggggggggggggggggggggggeaggg fb bc geggggggggggggggggggggggggggggggeggg bf cb eaggggggggggggggggggggggggggggggaagg bb bc deggggggggggggggggggggggggggggggggegg cb cb egggggggggggggggggggggggggggggggggaeg fbf bb deggggggggggggggggggggggggggggggggggeg bc fbf e ggggggggggggggggggggggggggggggggggde bb c aa e fb e e bf ed ed bb de e cb e aa fbf ae e bc e aa bb ea e fb e de bf ed e b de e e ed aa e e ed ed e e aa e e de de e e aa de e ed ed e de ed e e de aa e e ea de e e ed de ed e ed e aa e ae e de e e ed e aa e aa e ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f83940ff b,#0605fdff c,#4d42f3ff d,#fb7e82ff e,#fe0405ff f,#abaafeff g,#fec5c6ff ``` ```image deea geeeeg aeadea geeg eeg eed dee dee eed eeg dee aea aed geeg geeg aed aea dee geeg eed dea dea eeg geeg dea aea eed geeg ff dee aed cbbc aed dee fbbbbbc geeg eed cbbbffbbbf aea dea fcbbc cbbf geeg geeg fbbbf cbbc aea aea cbbc fbbbf geeg geegfbbbf fbbbf dea eedcbbc cbbc eed deabbbf fbbcdee ecbbc fbbbaed dbbbf cbbce cbbcf cbbcd fbbbc fbbbf cbbba fbbbf fcbbced gcbbc fbbbdea dabbc cbbcgeeg eabbbf fbbbf aea deacbbf cbbc geeg eedcbbc fbbbf aed dee fbbbf cbbc dee aed fbbbf fbbbf eed geeg cbbc cbbcf dea aea fbbc fbbbf geeg geeg fbbbf bbbf aea dea cbbf bc geeg eeg cbbc f aed dee fbbb dee eed fbb eed dee c dea aed geeg geeg aea aea gee geeg eed dea dee eeg geeg dea aea eed geeg dee aed aed dee geeg eed aea dea geeg geeg aea aea geeg eeg dea ed ee e de d a ``` <!-- end of image --> Bingo! This close-up reveals an intersection in area A! Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f73b43ff b,#0907fdff c,#6361fcff d,#fe8586ff e,#fe0505ff f,#babaffff g,#fecdcdff ``` ```image g de eda ed e ge de eg eg de ge e eg aa e e cb ad ed bbfbf e ge cbf bc aa egbb bb e dabf cbde bb bag fbc bb bbe bb fbceg abf cb ge edbc bc e e bb cbf da aa cb bb e e bc cbf ad de bb bb e e cb fbf eg ge fbf bb de eg bc fbc e ge bb bb aa ed cb fbc e e bc cb ed aa bb bc ge e cb cbf eg da fbf bb de e bc cbf e de bb c aa eg cb e ge bc ed ed bb ge e cb e ad fbf da e bc e da bb ad e cb e de fbc eg eg b ge ge e eg aa e e ad ed e ge aa eg e de de e eg aa ge e eg ed e ge ed eg e de aa e e ad de e e eg ge eg ge ed e aa e da e de eg ge ed e ad e da e ``` <!-- end of image -->
I'm examining this image closely. My goal: find any and all intersections. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0404feff b,#f90c0cff c,#7d86e7ff d,#e5cfe8ff e,#e46f62ff f,#393af1ff g,#b0d6b0ff ``` ```image ggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggggggggggggggggggggggg ggggggggggggggggggggggggggfaggggggggggggggggggg ggggggggggggggggggggggggggaffgggggggggggggggggg gggggggggggggggggggggggggabbagggggggggggggggggg ggggggggggggggggggggggggcaggcaggggggggggggggggg ggggggggggggggggggggggggaggggabeggggggggggggggg gggggggggggggggggggggggffgggggabbgggggggggggggg ggggggggggggggggggggggbaggggggacbbggggggggggggg ggggggggggggggggggggebacgggggggagebgggggggggggg gggggggggggggggggggebcaggggggggffgebggggggggggg ggggggggggggggggggebgaggggggggggagggbeggggggggg gggggggggggggggggebgffggggggggggffgggbbgggggggg ggggggggggggggggebggaggggggggggggaggggbbggggggg gggggggggggggggebggacggggggggggggcaggggebgggggg ggggggggggggggebggcaggggggggggggggaggggggbegggg gggggggggggggebgggagggggggggggggggcaggggggbeggg ggggggggggggbbgggffggggggggggggggggacggggggbbgg gggggggggggbbggggaggggggggggggggggggagggggggebg ggggggggggbbggggacggggggggggggggggggacgggggggebd gggggggggbbggggcaggggggggggggggggggggagggggggggbe ggggggggbbgggggagggggggggggggggggggggffgggggggg bb gggggggbbgggggffggggggggggggggggggggggagggggggg bb ggggggbbggggggagggggggggggggggggggggggcaggggggg eb gggggbbggggggacggggggggggggggggggggggggaggggggg dbd ggggbeggggggcagggggggggggggggggggggggggcagggggg be gggbegggggggagggggggggggggggggggggggggggacggggg bb ggbegggggggffggggggggggggggggggggggggggggaggggg eb gbeggggggggagggggggggggggggggggggggggggggacgggg ebd beggggggggacggggggggggggggggggggggggggggggagggg dbe be ca ff be bd a a bb bd fc cf eb bd da a dbd bd ad ca be dbd ca ad bb dbd a da bb dbd fc ac eb b da a dbd ad fc b ca a a cf ac a da ca ad ad cf da a ad ac a da fc ad a cf ff a a ac ca da ad a da ff ad a a ac ac da a a ff ff a c cf a da ad da ac a ff a cf a ca ad da ac a fc a cf a ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#0806fdff b,#fd0708ff c,#5857feff d,#feb6b6ff e,#fc5a5cff f,#78169cff g,#b0b0feff ``` ```image aag caac gaaaag aaffac gaabbaag aafbefaa caabd eaaf gaae faae daaf aafbd dfaa gaabbd dbaag cafbbe dbfac gaaebbe dbbaag cacdbbbd dbbaac aagdbbbd dbbfaa caa ebbd dbbeaag aag ebbe dbbecac gaa dbbe dbbegaag aac dbbbd dbbe aac gaa dbbbd dbbe caa cac ebbe dbbe aag gaag ebbe dbbe cac cac dbbb ebbe gaa aag dbbbd ebbe aac caa ebbd ebbd caa aag ebbe ebbd aag gaa ebbe ebbd cac aac dbbbd ebbd gaa gaa dbbbd ebbd aac cac ebbe ebbd caa gaag ebbe ebbd gaag cac dbbe ebbd cac aag dbbbd ebbd gaa cac bbbd ebbd aac aag ebbe ebbd caa gaa ebbe bbbd gaag aag dbb bbbd cac gaa db bbbd gaa cac bbb aag gaa dbbb caa cac dbbb gaag gaag dbbb cac cac dbbe gaa aag dbbe aag caa dbbe caa aag dbbe gaag gaa dbbe cac aac dbbe gaa gaa dbbe aag cac dbbe caa gaag dbbe gaag cac dbbe cac aag dbbe gaa caa ebbe aag aag ebbe cac gaa bbd gaag aac ``` <!-- end of image --> An intersection is present within area A. After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0505feff b,#fd090bff c,#8482fdff d,#fec0c0ff e,#ff6060ff f,#433efaff g,#c5c4feff ``` ```image g fa aff abea gad ca dad abd dff gabe dba agbb dbac a eb dbga fc dbd db a a be eb ff ff bb eb a a bb eb ag ca eb eb ga a dbd eb a ga be eb ff ag bb eb a a eb bb ag ac dbd bb ca a be bb a ff be bb ff a bb be a ca eb be ag a dbd be ca ga be be a ag bb be ff a eb be a ac db be ag a dbd bd ca ff be bd a a bb bd fc cf eb bd a a dbd bd ag ga be bd ca ag bb dbd a ga bb db ac ac eb b ga a dbd ag fc b ca a a cf ac a ga ca ag ag cf ga a ag ac a ga fc a a cf ff a a ac ca ga a a ga ff ag a a ac ac ga a a ff ff a c ca a ga ag a ac a ff a cf a ga ag ga ac a fc a cf a ``` <!-- end of image -->
Based on a first glance, I suspect there could be intersection regions here. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd0404ff b,#0c0bf9ff c,#e0988bff d,#96c799ff e,#6873e8ff f,#ec4c43ff g,#b1d7b1ff ``` ```image caaac a faaf ca faaf a caaac a caaac ac faaf a caaf fc caaac gdddddddddddddddddddddddddddddda faac dgggggggggggggggggggggggggggggff faaf dgggggggggggggggggggggggggggggag caaac dggggggggggggggggggggggggggggcag caaac dggggggggggggggggggggggggggggagg faaf dgggggggggggggggggggggggggggcagg fa dgggggggggggggggggggggggggggadgg dgggggggggggggggggggggggggggaggg dggggggggggggggggggggggggggacggg ebb dggggggggggggggggggggggggggagggg b bbg dgggggggggggggggggggggggggffgggg b bbe dgggggggggggggggggggggggggagggggeb bbe dggggggggggggggggggggggggffggggdb bbe dggggggggggggggggggggggggagggggb bbe dgggggggggggggggggggggggcaggggbb ebe dgggggggggggggggggggggggaggggdbg ebb dggggggggggggggggggggggcaggggbgg ebb dggggggggggggggggggggggadgggbegg ebb dggggggggggggggggggggggagggdbggg ebb dgggggggggggggggggggggacgggbgggg gbb dgggggggggggggggggggggagggbegggg bb dggggggggggggggggggggffggebggggg bbg dggggggggggggggggggggagggbgggggg bbe dgggggggggggggggggggffggbegggggg bbe dgggggggggggggggggggaggebggggggg bbe dggggggggggggggggggcaggbgggggggg bbe dggggggggggggggggggaggbegggggggg ebe dgggggggggggggggggcagebggggggggg ebb dgggggggggggggggggacgbgggggggggg ebb dgggggggggggggggggagbegggggggggg e dggggggggggggggggacebggggggggggg dggggggggggggggggagbgggggggggggg dgggggggggggggggffbegggggggggggg dgggggggggggggggaebggggggggggggg dggggggggggggggffbgggggggggggggg dggggggggggggggabdgggggggggggggg dgggggggggggggcbbggggggggggggggg dgggggggggggggabgggggggggggggggg dggggggggggggcbdgggggggggggggggg dggggggggggggbbggggggggggggggggg dgggggggggggdbgggggggggggggggggg dgggggggggggbcgggggggggggggggggg dggggggggggbbggggggggggggggggggg dgggggggggdbfggggggggggggggggggg dgggggggggbagggggggggggggggggggg dggggggggbbfgggggggggggggggggggg dgggggggdbaggggggggggggggggggggg dgggggggbcaggggggggggggggggggggg dggggggbeagggggggggggggggggggggg dgggggebcagggggggggggggggggggggg dgggggbgacgggggggggggggggggggggg dggggbegaggggggggggggggggggggggg dgggebgacggggggggggggggggggggggg dgggbggagggggggggggggggggggggggg dggbegffgggggggggggggggggggggggg dgebggaggggggggggggggggggggggggg dgbggffggggggggggggggggggggggggg dbeggagggggggggggggggggggggggggg ebggcagggggggggggggggggggggggggg bgggaggggggggggggggggggggggggggg beggcaggggggggggggggggggggggggggg dggacggggggggggggggggggggggggggg dggagggggggggggggggggggggggggggg dgacgggggggggggggggggggggggggggg dgaggggggggggggggggggggggggggggg dffggggggggggggggggggggggggggggg dagggggggggggggggggggggggggggggg ffgggggggggggggggggggggggggggggg aggggggggggggggggggggggggggggggg caggggggggggggggggggggggggggggggd a ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0505ff b,#3b32f5ff c,#fc8e90ff d,#0504feff e,#8380fcff f,#f94348ff g,#e7d0e7ff ``` ```image g f fa aa af ac ac ca fa gaa gaag faf aag af ac ac ca fa gaa gaag faf aag caf e aa bd ac dd ca gde fc bb fa gdd gaa bdb faf edd aag ddg aac ed aa gdg ac dd ca edb gag dde fa bdb gaa ddg caf gde caf edg aac gdd aa bdb ac eddg ca dde gag edg fa gde gaa bd caf edd caf bdb aac dd aa gde ac bb fcgdd gagbde faedd gaaddg aabb cafdg aadd cabdb adde bdb gddg fde edg gdd bdb eddc dbc eda gdfc bdag eddf bdba ddaa gdcaf beaac gddfac ddeaa edb ac ddggag bb gag edg ca gdd aa bdb caf gdde caa bdb fac ddg aa gde ac edg ff gdd gag bdb ca eddg aa db aac ed caa gde fac bd gaa dg aag e af gag cf ac aa caa fac gaa aag af gag cf ca aa ``` <!-- end of image --> I am surprised, so clear, an intersection has appeared in area A. It was tricky, but I finally found one single intersection in the image.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#fe0506ff b,#3a2ff4ff c,#fdafb0ff d,#0404ffff e,#7777ffff f,#fe5859ff g,#bebdfeff ``` ```image c caaac a cfaaf ca faaf a caaac a caaac ac faaf a faafc ff caaac a caaaf ff faaf a caaac ca caaac a faaf ca fa a a ac eddg a d gddg ff dg ddg a bb dde ff gd bde a dg bde ca bb bdb a gd edb ca d edb ac be edd a gd gdd ac d gddg a de gddg ff gd gddg a d ddg ff de dde a gd bde ca d bde a de bdb ca ed edb ac d edb a dg e aced a d ffdg aeb ffd adg cbb ad cdg bb gd dc bb gdf da bbf gda dca dea gdca d ac de a gd ac d a de ff ed a d ff dg a ed ca d a dg ca ac a ac a ff a ff a ca a ``` <!-- end of image -->
Let's examine this image for potential line intersections. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0b0bff b,#0606feff c,#fa7472ff d,#9c9dfbff e,#add4adff f,#4847f6ff g,#f5d5deff ``` ```image d bb fbd a bb aag fbg caga dbf a ac bb ac a dbd ga ca bb ag ag fbd ca ga gbf a ac fbg ag a dbf ca eecaeeeeeeeeeeee bb a eeeaeeeeeeeeeeee dbd ac eeeeaeeeeeeeeeeegbb ga eeeeaceeeeeeeeefbd a eeeeeaeeeeeeeebf ac eeeeecaeeeeebbee ga eeeeeeaeeedbfeee ag eeeeeeeaebbeeeee ca eeeeeeefbdeeeeee a eeeeeebbaeeeeeee ag eeeefbeecaeeeeee ca eeebfeeeeaeeeeee a ebbeeeeeeeaeeeee ac dbfeeeeeeeeaceeee ga bbeeeeeeeeeeeaeeee ag gbd eeeeeeeeeeecaeee cc b eeeeeeeeeeeeaeee ga bf eeeeeeeeeeeeeaee ag db ac ca b a a bd ca ac db ag ga b ga a bd ac ac ff a ga gb ca ag bg ag ca ff ga a db ac ag b a ca bd ca a db ag ac b ga ga bd ac a fb a ac gb ca ga bg ag ag ff ga ca db ac a b a ac bd ca ca db ag a b ga ac bd ac ga fb a ag b ca ca bg ag c ff ga db ac b a bd ca db ag b ga bd ac fb a b ca bg ag ff ga gb ac b a bf ca db ag b ga bd c fb b bg ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fe0708ff b,#0606feff c,#ff9f9fff d,#9191ffff e,#fb5256ff f,#483ff5ff g,#e8d5ecff ``` ```image gaac caa aae caag eae gaac caa aae gf caag dbb eae gfbbf gaac dbbbd caa gbbbfg aae fbbbd caag dbbbf eae gfbbfg gaac dbbbd caafbbfg fbbbd dbbbfg gfbbbeae dbbbd gaac gfbbfg caa dbbbd aae gfbbfg caag dbbbd eae dbbbf gaac fbbbg caa bbd aae fg caag eae gaac caa aae caag eae ``` <!-- end of image --> Gotcha! I've found the intersection hiding in area A! One intersection, that's it, but I found it.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#ff2626ff b,#0606ffff c,#ff7c7cff d,#9e9effff e,#ff0101ff f,#4d49fbff g,#f4d6e1ff ``` ```image d bb fbd a gbb eeg fbg cege dbf e ac bb ac e dbd ge ca bb eg eg fbd aa ge gbf e ac fbg eg e dbf ca ca bb e eg dbd ec ge bb ge ac fbd e e gbf ac ca bbg ge eg dbf eg ge bb ca fbd e bbe ec fbg ca ce gbf eg e bb ge ac dbd ac ge bb e eg gbd ca aa bg eg ge bf ge eg db ac ca b e e bd ca ec db eg ge b ge e bd ac ac ff e ge gb ca eg bg eg ca bf ge e db ac eg b e ce bd ca e db eg ac b ge ge bd ac e fb e aa gb ca ge bg eg eg ff ge ca db ac e b e ec bd ca ce db eg e b ge ac bd ac ge fb e eg gb ca aa bg eg c ff ge db ac b e bd ca db eg b ge bd ac fb e b ca bg eg ff ge gb ac b e bf ca db eg b ge bd c fb b bg ``` <!-- end of image -->