Datasets:
oliveirabruno01
/
intersection-count-pixmap-CoT

Dataset card Data Studio Files Community
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int64
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1
The hunt for intersections begins! Let's analyze this image closely. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#80f6d7ff b,#773ff7ff c,#9e8ae6ff d,#e7f4f3ff e,#36f9ccff f,#9fcda2ff g,#b1d7b2ff ``` ```image dccc dbbbbbbbc fffffffffffffffffbbbcff bbd ggggggggggggggggcbcgggf bb gggeggggggggggggbbggggf dbb gggeeggggggggggcbfggggf cbc ggggeegggggggggbbgggggf bbd gggggeegggggggbbggggggf bb ggggggeeggggggbbggggggf bb gggggggeeggggbbgggggggf dbb gggggggeegggcbcgggggggf cbc ggggggggeeggbbggggggggf bb ggggggggeegcbfggggggggf bb gggggggggeabbgggggggggf dbb gggggggggebbggggggggggf cbc gggggggggfbbggggggggggf bbd gggggggggbbeggggggggggf bb ggggggggfbcefgggggggggf dbb ggggggggbbgeegggggggggf cbc gggggggcbfgaegggggggggf bbd gggggggbbgggeeggggggggf bb ggggggbbggggaeggggggggf bb ggggggbbgggggeegggggggf cbc gggggbbggggggeegggggggf bbd ggggfbcgggggggeeggggggf bb ggggbbggggggggeeggggggf bb gggcbcgggggggggeegggggf dbb gggbbggggggggggeegggggf cbc gggbggggggggggggeaggggf bbd a ffffffffffffffffeefffff bb aeea dea dbbdddddddddddddddeeeeed ee dcbcfffffffffffffeeffaeed ded dfbbgggggggggggggeeggggee ee dfgbbgggggggggggaegggggfee aed dfggbbggggggggggeegggggfaea ee dfggcbcggggggggaeggggggfdeea aed dfgggbbfgggggggeeggggggfd eed ee dfggggbbggggggaefggggggfd ee ae dfgggggbbgggggeegggggggfd ee ee dfgggggcbbgggaeagggggggfd dee ee dfggggggbbcggeeggggggggfd aee ea dfgggggggbbgfeaggggggggfd aea ee dfggggggggbbeegggggggggfd eed dea dfggggggggfbbagggggggggfd eed ee dfgggggggggcbcgggggggggfd ee dea dfgggggggggebbgggggggggfd dee ee dfggggggggeegbbggggggggfd dee ded dfggggggggeeggbbgggggggfd aea ee dfgggggggeegggcbcggggggfd eea aed dfgggggggeeggggbbfgggggfd e ee dfggggggeeggggggbbgggggfd aed dfggggggeegggggggbbggggfd ee dfgggggeeggggggggcbbgggfd ae dfgggggeegggggggggbbcggfd ee dfggggaegggggggggggbbggfd ee dfggggeeggggggggggggbbgfd ea dfgggaegggggggggggggfbbfd ee dffffeeffffffffffffffcbcd dea dddaeddddddddddddddddbbd ee ee bb dea ded dbb ee ee cbc ded dea bbd ee ee bb aed dea dbb ee ee cbc aed dea bbd ee ee bb ae ea bb ee ee dbb ee ea cbc ea ee bb ee ee bb dea ae dbb ee ee cbc dea aed bbd ee ee bb deaed dbc eee d aed ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#62f5d8ff b,#773df8ff c,#c6aefcff d,#9cfce6ff e,#33f9ccff f,#9a74f9ff g,#e1eef9ff ``` ```image gbbbbffccg fbbbg cbbbc gg bbbb geag cbbbc geeeag gbbbf aeeea fbbbg aeeea gbbbf aeeea fbbbg aeeea cbbbc aeeea bbbb aeeea cbbbc aeeea bbbf aeeed fbbbg gaeea gbbbf deeeg fbbbg eeea cbbbc deeeg fbbb eeea cbbbc deeeg bbbf eeed cbbbg deeeggbbbf geeedfbbbg aeeabbbc geebbbb aabbbc gbbbb cbbba gbbbfed fbbbeea gbbbfeeeg fbbbgeeea cbbbc deeeg bbbf eeea cbbbc deeeg gbbbf eeed fbbbg deeeg gbbbf geeed fbbb aeee cbbbc geeed bbbf aeee cbbbc geeed gbbbf aeea fbbbg geeed gbbbf aeea fbbbg deeeg cbbbc eeea bbbb deeeg cbbbc eeea gbbbf deeeg fbbbg eeed gbbbf deeeg cfbg geeed ``` <!-- end of image --> Success! This area contains 1 intersection point! Let's move forward and inspect another region. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#68fad9ff b,#763cf8ff c,#bea4fbff d,#a2fce7ff e,#34f9ccff f,#9167f8ff g,#e0ebf9ff ``` ```image cbbbf geeed gaeeeea cbbbc aeee deeee fbbbc geeed gaee gbbbbg aeee gee gbbbf geeed ge cbbbf aeee d fbbbc geeed gbbbbg deeeg gbbbf eeea cbbbf deeeg fbbbc eeea fbbbg deeeg gbbbbg eeea cbbbf deeeg cbbbc eeea fbbbc deeeg gbbbbg aeea cbbbf deeed cbbbc aeea fbbbc geeed gbbbbg aeee gbbbf geeed cbbbf aeee fbbbceeed fbbbeee gbbbbed cbbbfg gfbbbc debbbbg eeebbbbg deeecbbbf eeea cbbbc deeeg fbbbc eeea gbbbbg deeeg gbbbf eeea cbbbf deeeg fbbbc aeea gbbbbg deeed gbbbf aeea cbbbf geeed fbbbc aeee fbbbg geeed gbbbbg aeee cbbbf geeed cbbbc aeee fbbbc geeed gbbbbg aeee cbbbf geeed cbbbc deeeg fbbbc eeea gbbbbg deeeg gbbbf eeea cbbbf ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#71fbdbff b,#763cf8ff c,#bb9efbff d,#b6fcecff e,#34faccff f,#9369f9ff g,#e1d4fdff ``` ```image gcff bbbbbbbc bbfcg bbg gbc bb e bb bb ee cbg cbf ee bb fbg ee fb bb ee bf bb ea bb gbf ee gbc fbc ea bb bb ee cbg bb eabb gbb ebb fbc dbf bbg bbe bb gbfed gbb bb ee cbf cbg de bbg bb ee bb fb ae bb bf ee cbf bb ae fbg gbc ea bb bb ee bb cbg ea gbf bb ee fbc f ea bb a ee bb aeed ded gbb eeeee ee cbc ae dee ded bbg ee ee ee bb ae dee de bb ee aea ee cbf de eed ae fbg ee ee ee bb ded ee ae bb ee ee ea gbf ded dee ee fbc ee dea ea bb ded aea ee bbee eed ea gbbd ee ee fbc ee ded ebbg ee ee ee bb dee ded ea gbb aea ee ee cbf eed de ea bbg e ee ae bb ae ee bb ee ae cbf ae ee fbg ea ae bb ee ee bb ea de gbf ee ee fbc ea ded bb ee ee bb ded ded gbb ee ee cbc ded ded bbg ee ee bb ded ed bb ee ee cbf ae ea fbg ee ee bb ae ea bb ee ee gbf ee ea fbc ea ae bb ee ee bb ea ae gbb ee ee fbc ded ae bbg ee ee bb deae gbf eee g ded ``` <!-- end of image -->
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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,#5531f0ff b,#884b1eff c,#d2c7f2ff d,#9f7d57ff e,#887ae4ff f,#b1d7b1ff g,#99c795ff ``` ```image e aaa aaaa aaaa aaaa aaaa aaaa aaaa caaae caaae caaae eaaac eaaac eec eaaac aaa eaaa aaa aaaa aaa aaaa caae aaaa eaa aaaa aaa aaaa aaa aaaa aaa aaaa caac aaaa aaa caaae aaa caaae aaa caaae caae caaac eaac eaaac aaa eaaac aaa eaaac aaa aaaa caae aaaa eaac aaaa aaa aaaa aaa aaaa aaa aaaa caac aaaa aaa aaaa aaa aaae gffffffffffffffffffffffffffffffffffaaafffffffg caaaegffffffffffffffffffffffffffffffffffaaefffffffg caaaefffffffffffffffffffffffffffffffffeaaefffffffg caaaeffffffffffffffffffffffffffffffffaaaffffffffg eaaaefffffffffffffffffffffffffffffffaaaffffffffg eaaafffffffffffffffffffffffffffffffaaaffffffffg aaaaffffffffffffffffffffffffffffffaaeffffffffg gaaaaffffffffffffffffffffffffffffeaafffffffffg gfaaaafffffffffffffffffffffffffffaaafffffffffg gffaaaaffffffffffffffffffffffffffaaafffffffffg gfffaaaafffffffffffffffffffffffffaaafffffffffg gffffaaaafffffffffffffffffffffffeaaefffffffffg bbbbbbbbbbbbddddddgfffgggfffaaaaaeffffffffffffffffffffaaaggdbbbbbffg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddbbbbbbbbbbbbbffg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffg bbbf ccfffddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddgfffffffg fbbb gfffffffffffffaaaaaaaaefffffggfeaaeffffffffffg bbb gffffffffffffffffaaaaaaaaefffffaaafffffffffffg dbbb gffffffffffffffffffeaaaaaaaaeffaaafffffffffffg bbb gfffffffffffffffffffffeaaaaaaaaaaafffffffffffg dbbd gffffffffffffffffffffffffeaaaaaaaefffffffffffg bbb gfffffffffffffffffffffffffffeaaaaffffffffffffg bbbg gffffffffffffffffffffffffffffffaeffffffffffffg cbbb gffffffffffffffffffffffffffffffffffffffffffffg bbbf gffffffffffffffffffffffffffffffffffffffffffffg fbbb gffffffffffffffffffffffffffffffffffffffffffffg bbb gffffffffffffffffffffffffffffffffffffffffffffg dbbb gffffffffffffffffffffffffffffffffffffffffffffg bbb gffffffffffffffffffffffffffffffffffffffffffffg dbbd fggggggggggggggggggggggggggggggggggggggggggggf bbb bbbg cbbb bbbc fbbb bbb dbbd bbb bbbd bbb bbbf fbbb bbbc gbb ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#5530f0ff b,#884b1eff c,#b3a2f7ff d,#b18a6eff e,#8369f3ff f,#e0d6e3ff g,#703f7fff ``` ```image faaaaae caaaaac eaaaaaf aaaaaa faaaaae caaaaac e caaaaac ac eaaaaa aac aaaaaa aaac faaaaae aaaac caaaaac aaaaac eaaaaaf aaaaaaf eaaaaa aaaaaaaf aaaaae eaaaaaaaf faaaaae eaaaaaaaf caaaaac eaaaaaaa eaaaaaf aaaaaaae aaaaaa faaaaaaae aaaaae faaaaaaae caaaaac faaaaaaae caaaaac faaaaaaae eaaaaaf caaaaaaac aaaaaa caaaaaaac faaaaae caaaaaaac caaaaac caaaaaaaacf eaaaaaf ffddddf ffffff caaaaaaaaaec eaaaaafffddddbbbbbbbbf bbbbbbbbbbbbbbbbbggggggggdddddffffffffff ffggggbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddddddddbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddfff ddddddddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddff ffceaaggggggggggggggddddbbbbbbbbbbbbbbbddgggaac ceaaaaaaaaaaaaaaaef fff caaaaac fceaaaaaaaaaaaaaaacf eaaaaaf fcaaaaaaaaaaaaaaaecf aaaaaa feaaaaaaaaaaaaaaaec faaaaae ceaaaaaaaaaaaaaaaec caaaaac ceaaaaaaaaaaaaaaaec eaaaaaf ceaaaaaaaaaaaaaaaaaaaaa fcaaaaaaaaaaaaaaaaaaa feaaaaaaaaaaaaaaae feaaaaaaaaaaaac ceaaaaaaaaaf ceaaaaae fceae ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5530f1ff b,#884c1eff c,#b5a5f8ff d,#ac8262ff e,#856bf4ff f,#cfb7a5ff g,#e4dcefff ``` ```image e aaa aaaa aaaa aaaa aaaa aaaa gaaae gaaae gaaae caaac caaac eaaag eeg eaaag aaa eaaag aaa aaaa aaa aaaa caac aaaa eaag aaaa aaa aaaa aaa aaaa aae aaaa caac aaaa aaa gaaae aaa gaaae aaa caaac gaae caaac eaag caaac aaa eaaag aaa eaaag aaa aaaa gaae aaaa eaag aaaa aaa aaaa aaa aaaa aaa aaaa caac aaaa eaa aaaa aaa gaaae aaa gaaae gaae gaaae caac caaac aaa caaac aaa eaaag aaa eaaag gaae eaaag eaag aaaa aaa aaaa aaa aaaa aaa aaaa caac bbbbbbbbbbbbbdddddfffffggg aaaaac eaagfddbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddddbbbbbbbbbbbbb gbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbf gggfffffdddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbdfg fbbb eaaaaaaae gg caac bbbg gaaaaaaaac aaa dbbb caaaaaaaac aaa bbb caaaaaaaaaaa dbbd eaaaaaaae bbb eaaaag bbbf gee gbbb bbbf fbbb bbbg dbbb bbb bbbd bbb bbbf gbbb bbbg fbbb bbb dbbb bbb bbbd gbbb bbbf fbbb bbbg fbb ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#79a226ff b,#1f26bcff c,#b1d7b1ff d,#4d5bb7ff e,#7b8cc3ff f,#99c893ff g,#8fb555ff ``` ```image cffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff fccbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc fcdbbeccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc fcbbbbbcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc fccdabbbeccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccdbdccc fcaaabbbbbcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbccc fcgaacdbbbbecccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbccc fcfaagccbbbbbcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccfbbdccc fccaaacccdbbbbdcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccdbbcccc fccaaacccccbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbbcccc fccaaaccccccebbbbdcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccaaabcccc fccfaafcccccccbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgaaaaecccc fcccaaaccccccccebbbbdcccccccccccccccccccccccccccccccccccccccccccccccccccccccaaaaaaccccc fcccaaaccccccccccbbbbbfcccccccccccccccccccccccccccccccccccccccccccccccccccgaaaaaaaccccc fcccaaacccccccccccebbbbdccccccccccccccccccccgfccccccccccccccccccccccccccfaaaaacaaaccccc fcccgaafccccccccccccbbbbbecccccccccccccccccaaacccccccccccccccccccccccccaaaaafceaaaccccc fccccaagcccccccccccccebbbbbcccccccccccccccfaaaaccccccccccccccccccccccgaaaaacccbaaaccccc fccccaaacccccccccccccccdbbbbecccccccccccccaaaaaaccccccccccccccccccccaaaaafccccbdaaccccc fccccaaaccccccccccccccccfbbbbbcccccccccccgaaaaaagcccccccccccccccccgaaaagccccccbdaaccccc fccccgaafcccccccccccccccccdbbbbecccccccccaaaccaaafccccccccccccccfaaaaacccccccdbdaafcccc fcccccaagcccccccccccccccccccbbbbbcccccccaaafccfaaacccccccccccccaaaaafccccccccbbdaafcccc fcccccaaaccccccccccccccccccccdbbbbdccccfaaaccccaaaaccccccccccfaaaaaccccccccccbbdaafcccc fcccccaaaccccccccccccccccccccccbbbbbcccaaaccccccaaagccccccccaaaaafccccccccccfbbdaafcccc fcccccgaacccccccccccccccccccccccdbbbbdaaagcccccccaaafcccccgaaaagccccccccccccdbbfaafcccc fcccccfaagccccccccccccccccccccccccbbbbaaaccccccccfaaaccccaaaaaccccccccccccccbbbfaagcccc fccccccaaacccccccccccccccccccccccccebaaadcccccccccgaaacgaaaagcccccccccccccccbbbcaagcccc fccccccaaaccccccccccccccccccccccccccgaaabbfccccccccaaaaaaaaccccccccccccccccebbecaagcccc fccccccgaaccccccccccccccccccccccccccaaabbbbdccccccccaaaaafcccccccccccccccccbbbccaagcccc fccccccfaagccccccccccccccccccccccccaaagcbbbbbeccccccfaaacccccccccccccccccccbbbccaagcccc fcccccccaaacccccccccccccccccccccccfaaacccebbbbbccccccccccccccccccccccccccccbbbccaagcccc fcccccccaaacccccccccccccccccccccccaaafcccccbbbbbecccccccccccccccccccccccccebbeccaaacccc fcccccccaaaccccccccccccccccccccccgaaacccccccfbbbbbccccccccccccccccccccccccbbbcccaaacccc fcccccccfaafcccccccccccccccccccccaaaccccccccccdbbbbeccccccccccccccccccccccbbbcccaaacccc fccccccccaaaccccccccccccccccccccaaagccccccccccccbbbbbcccccccccccccccccccccbbdcccaaacccc fccccccccaaacccccccccccccccccccfaaaccccccccccccccdbbbbeccccccccccccccccccdbbfcccaaacccc fccccccccaaacccccccccccccccccccaaacccccccccccccccccbbbbbcccccccccccccccccbbbccccaaacccc fccccccccgaafcccccccccccccccccgaagccccccccccccccccccdbbbbdcccccccccccccccbbbccccaaacccc fcccccccccaagcccccccccccccccccaaacccccccccccccccccccccbbbbbcccccccccccccfbbdccccaaacccc fcccccccccaaaccccccccccccccccaaafccccccccccccccccccccccebbbcccccccccccccdbbcccccaaacccc fcccccccccaaacccccccccccccccgaaaccccccccccccccccccccccccbbbcccccccccccccbbbcccccaaacccc fcccccccccgaafccccccccccccccaaacccccccccccccccccccccccccbbbcccccccccccccbbbcccccaaacccc fccccccccccaagcccccccccccccaaagcccccccccccccccccccccccccbbbccccccccccccebbecccccaaacccc fccccccccccaaaccccccccccccfaaaccccccccccccccccccccccccccbbbccccccccccccbbbccccccaaacccc aaa aaac bbb bbb aaa gaa faaa bbb ebbe gaa caaf aaa bbb bbb gaa aaa aaaf bbb bbd gaa aaa caaa bbb bbb gaa gaa aaa bbb bbb faa caac gaag bbb ebbe faa aaa aaa bbb bbb faa aaa aaac bbb bbb caa gaa caaa bbb dbbc caac caac aaa bbb bbb caac aag gaag bbb cbbd caac aaa aaa bbb bbb aac aaa aaac bbb bbb aaf faagaaa bbb ebbe aaf aaaaa bbb bbb aaf aaaag bbb bbb aag aaaa bbb dbb aag faac bbb bbb aag gc bbb cbbd aag bbb bbb aaa bbb bbb aaa bbb ebbe aaa bbb bbb aaa dbb bbd aaa dbb bbb aaa dbb bbb aaa dbb ebbe aaa dbb bbb aaa dbb bbb aaa dbbdbbc aaa dbbbbb dbbbbd dbbbb dbbbb ebbbe ebbb ebbb ebb bb ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#79a326ff b,#2027bdff c,#d5e2bcff d,#6f74d2ff e,#bdbfebff f,#547063ff g,#a5c16eff ``` ```image bd dbbb dbbbbbe dfbbbbe bbd cgaabbbbbd bbb aaagbbbbbbe ebbb gaaa ebbbbbbe bbbb caaa bbbbbb ebbbd aaa bbbbbb dbbb aaac dbbbbbd bbbd aaag ebbbbbb aabe gaaa bbbbbbe caaaaf caaa dbbbbbe aaaaaaf aaa bbbbbbe gaaaaaaf aaac bbbbbbe gaaaaaaaaa aaag ebbbbbbe cgc aaaaaac faaa gaaa bbbbbb aaa gaaaaag efaaa caaag dbbbbbd gaaag gaaaaag dfaaa gaaa dbbbbbd aaaaaaa caaaaaa ebfaaa gaaa bbbbbbb aaaaaaa gaaaaagc dbfaaa aaa dbbbbbe gaaagaaaa aaaaaa bbfaaa aaac dbbbbbe aaag aaaac caaaaaa bbfaaa aaac bbbbbbe gaaa aaaaa gaaaaaac bbfaaa aaaa bbbbbbe gaaag gaaac aaaaaa ebbfaaa caaac ebbbbbbe aaag aaaa aaaaaag bbbfaaa caaag bbbbbb gaaa caaag aaaaaac bbbdaaa aaaa dbbbbbd aaag aaaaa aaaaaac bbbcaaa aaaa dbbbbaaaa caaag gaaaaag ebbb aaa aaaa dbbfaaaa aaaa aaaaaac dbbb aaa gaaac daaafbe aaaagaaaaag bbbd aaa aaag aaaabbbbd gaaaaaaag dbbbe aaa gaaa aaaabbbbbe gaaaaaa bbbb aaa caaa aaaa ebbbbbbe aaaa bbbe aaa aaa aaaac ebbbbbbe c bbb aaa aaac aaag dbbbbbb ebbb aaa aaag aaaa dbbbbbd dbbb aaa gaaa caaac dbbbbbd bbbd aaa caaac aaaa dbbbbbe bbbe aaa aaaa aaaac dbbbbbd bbb aaa caaa caaac dbbbbbd dbbb aaa caaa aaaa bbbbbbe bbbb aaac aaa caaac ebbbbbbe ebbbe aaac aaag caaaa ebbbbbb bbbb aaac aaag aaaag dbbbbb bbbd aaac gaaa caaac dbbbe bbb aaac aaa aaaa bbbe ebbb aaac aaa aaag bbbe dbbb aaac aaac caaaa bbbe bbbd aaag aaaa aaaa bbbe bbbe aaag ``` <!-- end of image --> My analysis confirms the presence of 2 intersections in area A. Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#79a226ff b,#1f26bdff c,#bfd398ff d,#5e65c9ff e,#9ea1e2ff f,#dde4dcff g,#98b858ff ``` ```image b dbbe bbbbb dabbbe dbd aaabbbbb bbb gaa dbbbbe bbb faac fbbbbb fbbd aaa dbbbbd dbbf aaa bbbbb bbb aaa ebbbbd aaab caac bbbbbf caaaae aag ebbbbd faaaaaa aaa bbbbbf gaaaaaaa aaa ebbbbd gf faaaaa aaa caaf bbbbbf aaaf aaaaac eaaa aag fbbbbb faaaa caaaag baaa aaa dbbbbe aaaaaa aaaaaf baaa aaa fbbbbb gaagaaac gaaaag bdaaf caaf dbbbbe aaa aaaf faaaaa dbdaaf faag fbbbbb aaac caaa gaaaac bbdaaf aaa dbbbbe caaa gaaa caaaaa bbbaaf aaa bbbbb aaa aaag aaaaaf fbbdaac gaa ebbbbdgaag aaaf caaaag dbbfaac faac bbbbaaa caaa faaaaa bbbfaac aaa ebaaad gaaa gaaaac bbb aac aaa caaabbf aaaaaaaa ebbe aag gaa aaabbbbd aaaaac bbb aag faac aaac bbbbbf faag bbb aag aaa faaa ebbbbb bbb aag aaa aaaf dbbbbe ebbe aag aaa gaaa fbbbbb bbb aaa caac aaa dbbbbe bbb aaa aag aaac fbbbbb bbd aaa aaa caaa dbbbbe dbbf aaa aaa aaa bbbbb bbb aaa caaf gaag dbbbbd bbb aaa aag aaa bbbbb fbbd aaa aaa aaac ebbb dbb aaa aaa caaa bbb bbb aaa caaf aaa bbb bbb aaa faag gaag bbb ebbe aaa aaa faaa bbb bbb aaa aaa aaaf bbb bbb aaa gaa caaa bbb dbbe gaa faac aaa bbb bbb gaa aaa aaac bbb fbbb gaa aaa faaa bbb bbbf gaa gaa aaaf bbb bbb gaa faac gaag bbb ebbd caa aaa aaa bbb bbb caaf aaa aaac bbb bbb caaf aaa caaa bbb dbbe caaf caac aaa bbb bbb faaf aag gaag bbb fbbd faac aaa aaa bbb bbb faac aaa aaac bbb bbb faac caagaaa bbb ebbe aac aaaaa bbb bbb aag aaaag bbb bbb aag aaaa bbb dbbf aag caaf bbb bbb aag gc bbb ebbd aaa bbb bbb aaa bbb bbb aaa bbb dbbe aaa bbb bbb aaa bbb fbbb aaa dbb bbbf aaa dbb bbb aaa dbb ebbd aaa dbb bbb aaa dbb bbb aaa dbbdbbe aaa dbbbbb dbbbbd dbbbb dbbbb dbbbe dbbb dbbb dbbf bb ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#95979fff b,#bfabcaff c,#d6cbdcff d,#b1d7b1ff e,#97c797ff f,#796d87ff g,#f0f3f0ff ``` ```image fc fa ff ff af cf fc fa ff ff af cf gfc fa ff ff af cf f gfc bffa fa fffg ff affb ff gfff af affc cf cffa gfc fffg fa bffa gggggggffgggggggggggggggggggggggggggggggggggggggggggggggggg fffg eddddddffdddddddddddddddddddddddddddddddddddddddddddddddddeg affb eddddddafddddddddddddddddddddddddddddddddddddddddddddddddddg gfff eddddddafddddddddddddddddddddddddddddddddddddddddddddddddddg affc edddddddfedddddddddddddddddddddddddddddddddddddddddddddddddg cffa edddddddfadddddddddddddddddddddddddddddddddddddddddddddddddgfffg edddddddffddddddddddddddddddddddddddddddddddddddddddddddddaffa bc edddddddffdddddddddddddbbbbbbbbbbbbbbddddddddddddddddddddfffg gbg edddddddffddddddddddddbbbbbbbbbbbbbbbbbddddddddddddddddaffag cb edddddddafddddddddddddbbdddddddddddddbbbbdddddddddddddfffddg bb eddddddddfeddddddddddbbddddddddddddddddbbbddddddddddfffedddg bb eddddddddfadddddddddbbdddddddddddddddddddbbbddddddefffdddddg bc eddddddddffdddddddddbbddddddddddddddddddddbbbbdddfffdddddddg gbg eddddddddffddddddddbbdddddddddddddddddddddddbbbaffaddddddddg cb eddddddddffdddddddbbddddddddddddddddddddddddddfffddddddddddg bb eddddddddafdddddddbbddddddddddddddddddddddddaffabbdddddddddg bb edddddddddfedddddbbddddddddddddddddddddddddfffdddbbbdddddddg bc edddddddddfaddddbbdddddddddddddddddddddddfffeddddddbbbdddddg gbg edddddddddffddddbbdddddddddddddddddddddefffdddddddddbbbddddg cb edddddddddffdddbbdddddddddddddddddddddfffdddddddddddddbbbddg bb edddddddddffddbbddddddddddddddddddddaffadddddddddddddddbbbbg bb edddddddddafdbbbdddddddddddddddddddfffdddddddddddddddddddbbbg bc eddddddddddfebbddddddddddddddddddaffaddddddddddddddddddddddbbb gbg eddddddddddfabddddddddddddddddddfffddddddddddddddddddddddddgcbbc cb eddddddddddffdddddddddddddddddfffedddddddddddddddddddddddddg bbbg bb eddddddddddffdddddddddddddddefffdddddddddddddddddddddddddddg gbbb bb edddddddddbffddddddddddddddfffdddddddddddddddddddddddddddddg bb bc eddddddddbbafddddddddddddaffaddddddddddddddddddddddddddddddg cb gbg eddddddddbbdfeddddddddddfffddddddddddddddddddddddddddddddddg bc cb edddddddbbddfaddddddddaffadddddddddddddddddddddddddddddddddg bb bb eddddddbbdddffdddddddfffdddddddddddddddddddddddddddddddddddg bb bb eddddddbbdddffdddddfffeddddddddddddddddddddddddddddddddddddg gbg bc edddddbbddddffdddefffddddddddddddddddddddddddddddddddddddddg bc gbg eddddbbdddddafddfffddddddddddddddddddddddddddddddddddddddddg bb cb eddddbbddddddfaffadddddddddddddddddddddddddddddddddddddddddg cb bb edddbbdddddddfffdddddddddddddddddddddddddddddddddddddddddddg gbg bb eddbbddddddddfaddddddddddddddddddddddddddddddddddddddddddddg bb bc eddbbddddddddddddddddddddddddddddddddddddddddddddddddddddddg bb gbg eddddddddddddddddddddddddddddddddddddddddddddddddddddddddddg cb cb deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bc bb bb bb bb bc cb gbg bc cb bb bb bb bb gbg bc bcgbg bbcb cbbb gbbb bbc bbg cb ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#92889eff b,#c8bad1ff c,#dbd3e0ff d,#aaa1b3ff e,#c0a9caff f,#796d87ff g,#efecf1ff ``` ```image cfffg gfffc fffb affd dffa bfff cfffg gfffc fffb affd dffa bfff b gfffc ceeeeeeeeeeeeeeeeeeeeeeeeeebg dfff fffb geeeeeeeeeeeeeeeeeeeeeeeeeeeeec caffff affd beeebbbbbbbbbbbbbbbbbbbbbbeeeeebg gdfffffe dffa ceeec ceeeeebg bfffffag bfff geeeb gbeeeeec gafffffb cfffg beeeg gbeeeeg fffffdg gfffc ceeec ceeeebg caffffc fffb geeeb gbeeeec dffffdg affd beeeg geeeebg cafffac dffa ceeec ceeeeebg gdfffff bfff geeeb gbeeeeec bfffffag cfffg beeeg ceeeeebg gafffffb gfffc ceeec ceeeeebefffffdg fffb geeeb gbeedffffffc affd beeeg cafffffdg dffa eeec cafffffdecg bfff geeb gdfffffdeeeeec cfffg eee bfffffag ceeeeebg gfffc beeg gafffffb ceeeeec fffb geeb bfffffdg gbeeeee affd geee afffffc ceeeebg dffa beee dffffdg ceeeec bfff ceeec cafffac gbeeeec cfffg geeeb gdffffe eeeeebg gfffc beeeg bfffffg gceeeeec affd geeeb bfffffdg ceeeeeb dffa beeeg cafffffc gbeeee efff ceeec dfffffdg gbee cfffggeeeb caffffac ce gfffcbeeeg gdfffffe g fffdeeec bfffffag affaeeb gafffffb dffaeeg bfffffdg efffec cafffffc bfffb fffffdg efffc cafffac cefffb gdffffe geefffd bffffag eeeaffa gafffff beeedffa bfffffdg geeebcfffg cafffffc geeee gfffc dfffffdg beeeg fffb caffffac ceeec affd gdfffffe geeeb dffa bfffffag beeeg effa gafffffb ceeec cfffg bfffffdg geeeb gfffc cafffffc beeeg fffb dfffffdg geeb dffd gdffffe beeg effa bffffag ceec bfff gaffffb geeb gfffdfffffd beeg ffffffffc ceee afffffdg geeeb dfffac beeeg cffe ceeec geeeb geeg g ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#90859cff b,#c8b8d1ff c,#d9cfdeff d,#a49caeff e,#bfa9caff f,#786d87ff g,#efecf2ff ``` ```image fb fd ff ff df cf fb fd ff ff df bf fc fd ff ff df bf f gfc bffd fd fffg ff dffe ff gfff df affc bf cffa gfc fffg fd bffd ff fffg ff dffe af gfff bf affc gfc cffa fd fffg ff bffd ec ff eeeeeeeeeeeeeeg fffg geg af bebbbbbbbbbbbbeeb dffe ce bf geb beec gfff ee gfc ee eeeg affc ee fd beg geeb cffa ec ff geb beec fffg geg ff ee eeeeffd ce af beg cfffg ee bf geb dffdeec ee gfc ee gfff eee ec fd ee affc ceeb geg ff cec cffa beec ce ff ee fffg geee ee af ee bffd ceeb ee ef cec fffg beeg ec gfcee dffe geee geg fae gfff ceeb ce ffc affc beeg ee ff cffa geeb ee eff fffg ee ec cedf bffd ce geg geegfc fffg ec ce ee fe dffe ee ee beg fa gfff be ee geb ff affc geg ec ee af cffa eb geg beg ef fffg ee ce geb gfdffd ce ee ee fffg geg ee beg fe eb ec geb ee geg ce ce ec ee ee ee ee ec ce geg ec ce ee ee be ee geg ec ecgeg eece beee geee eec eeg ce ``` <!-- end of image -->
[ "" ]
Let's examine this image for potential line intersections. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e2770ff b,#b1d6b1ff c,#40204fff d,#5b5d7eff e,#eaeeedff f,#96c797ff g,#858ba0ff ``` ```image e aaae aaaaag aaaaaaaa eaaaaedaaaae eaaaa baaaab baaaa aaaad gaaaa aaaaa daaaa gaaaae aaaad eaaaag aaaag aaaaa aaaab daaaae eaaaae baaaab eaaaae aaaad baaaa aaaaa fffffffffffffffffffffffbgaaaa gaaaae ebbbbbbbbbbbbbbbbbbbbbbbdaaaa eaaaag ebbbbbbbbbbbbbbbbbbbbbbaaaad aaaaa ebbbbbbbbbbbbbbbbbbbbbaaaag daaaae ebbbbbbbbbbbbbbbbbbbbaaaab baaaab ebbbbbbbbbbbbbbbbbbbaaaag eaaaad ebbbbbbbbbbbbbbbbbfaaaabf aaaaa ebbbbbbbbbbbbbbbbgaaaabbf gaaag ebbbbbbbbbbbbbbbgaaaabbbf eaaa ebbbbbbbbbbbbbbdaaaabbbbf aaa ebbbbbbbbbbbbbaaaaabbbbbf aaa dccdgfbbbbbbbaaaadbbbbbbf gaag cccccccccccdaaaagbbbbbbbf eaaa cccccccccccaaaacccdgfbbbf aaa ebbfgdccccaaaaccccccccccccgbe aaa ebbbbbbbfaaaaccccccccccccccccccccdgb gaag ebbbbbbgaaaabbbbbbfgdccccccccccccccccb eaaa egbbbbdaaaabbbbbbbbbbbbbf bgdccccccccd aaa baabbdaaaabbbbbbbbbbbbbbf egccc eeeeeeaaaeeeeeeeeeeee aaaaaaaadbbbbbbbbbbbbbbbf ccc fbbbbbbdaadbbbbbbbbbbb gaaaaaadbbbbbbbbbbbbbbbbf ccce fbbbbbbbaaabbbbbbbbbbb ebaaaagbbbbbbbbbbbbbbbbbf gccg fbbbbbbbaaabbbbbbbbbbb ebbgafbbbbbbbbbbbbbbbbbbf eccc fbbbbbbbaaabbbbbbbbbbb ebbbbbbbbbbbbbbbbbbbbbbbf ccc fbbbbbbbdaadbbbbbbbbbb ebbbbbbbbbbbbbbbbbbbbbbbf ccc fbbbbbbbbaaabbbbbdbbbb ebbbbbbbbbbbbbbbbbbbbbbbf dcce fbbbbbbbbaaabbbbdccbbb ebbbbbbbbbbbbbbbbbbbbbbbf bccg fbbbbbbbbaaabbbdcccgbb efbbbbbbbbbbbbbbbbbbbbbbf ccc fbbbbbbbbdaadbgcccdbbb eeeeeeeeeeeeeeeeeeeeeee ccc fbbbbbbbbbaaafcccdbbbb ccc fbbbbbbbbbaaaccccbbbbb dccb fbbbbbbbbbaaacccbbbbbb bccd fbbbbbbbbbdaaacbbbbbbb ccc fbbbbbbbbbcaaabbbbbbbb ccc fbbbbbbbbdcaaabbbbbbbb ccc fbbbbbbbdccaaabbbbbbbb gccb fbbbbbbgcccdaadbbbbbbb eccd fbbbbbfcccdbaaabbbbbbb ccc fbbbbbccccbbaaabbbbbbb ccc fbbbbccccbbbaaafbbbbbb ccc fbbbccccbbbbgaadbbbbbb gccg fbbccccbbbbbbaaabbbbbb eccd fbccccbbbbbbbaaabbbbbb ccc fdcccfbbbbbbbaaafbbbbb ccc gcccgbbbbbbbbgaadbbbbb ccce ecccdbbbbbbbbbbaaabbbbb gccg eccccbbbbbbbbbbbaaabbbbb eccc ccccffffffffffffaaafffff ccc cccc gaag ccc cccc aaa dcce dccce aaa bccg dccce aaae ccc gcccb gaad ccc bcccg aaa ccc ecccd aaa dccb cccc aaae bccd cccc e ccc cccc ccc cccc ccc dccce gccb gcccb eccd bcccg cccecccd ccccccc cccccc gcccc eccc cce ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#0e2670ff b,#9e9bb6ff c,#401f4fff d,#474a7fff e,#e4e4ecff f,#c2c2d3ff g,#706e96ff ``` ```image e ed faa faaa baaaa baaaaa gaaaaaa gaaaaaaa edaaaaaaad edaaaaaaade eaaaaaaaag faaaaaaaag faaaaaaaab baaaaaaaab gaaaaaaaaf gaaaaaaaaf edaaaaaaade edaaaaaaade bfe edaaaaaaad ccccdggbfe faaaaaaaag ccccccccccccdgbbfe faaaaaaaab cccccccccccccccccccdgggaaaaaaaab cccccccccccccccccccccaaaaaaaaagfe ccccccccccccccccccccaaaaaaaaacccccdggbffe bgdccccccccccccccccaaaaaaaaaccccccccccccccdgbb effbggdcccccccaaaaaaaaaccccccccccccccccccc efbbgaaaaaaaaacccccccccccccccccccc faaaaaaaaddcccccccccccccccccccc faaaaaaaag efbbgdccccccccccccc baaaaaaaab efbggdccccc baaaaaaaab efbb ef gaaaaaaaaf gage gaaaaaaaae aaaaf edaaaaaaade aaaaageedaaaaaaade aaaaaaaaaaaaaaag aaaaaaaaaaaaaag aaaaaaaaaaaaab edaaaaaaaaaab baaaaaaaaf edaaaaaf bdage ``` <!-- end of image --> 1 intersection present within area A. Onward to the next region of interest. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#0d2670ff b,#b8b6caff c,#401f4fff d,#684e74ff e,#dfdde6ff f,#42548eff g,#8687a9ff ``` ```image aaaaaa faaaaab gaaaaag baaaaaf aaaaaa faaaaab gaaaaag baaaaaf aaaaaa faaaaab gaaaaag baaaaaf aaaaaa ede faaaaab dccb gaaaaag dccccb baaaaaf gccccccb aaaaaa gcccccccb faaaaab bcccccccb gaaaaag bcccccccg baaaaaf ecccccccg aaaaaa ecccccccd faaaaabdccccccd gaaaaafccccccce baaaaaacccccce aaaaaacccccb faaaaaccccb gaaaaaaccg baaaaaacg ecaaaaaad edcaaaaaab dcccaaaaag dccccaaaaaf gcccccaaaaaae gccccccaaaaaab bcccccccfaaaaag bcccccccgeaaaaaf ecccccccd aaaaaae edccccccd faaaaab dccccccde gaaaaag dccccccce eaaaaaf gccccccce aaaaaae gcccccccb faaaaab bcccccccg gaaaaag bcccccccg eaaaaaf ecccccccd aaaaaae ecccccccd faaaaab dccccccde gaaaaag dccccccce eaaaaaf gccccccce aaaaaae gcccccccb faaaaab bcccccccb gaaaaag bcccccccg eaaaaaf cccccccd aaaaaae ccccccd faaaaab cccccd gaaaaag ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area B. Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0e2770ff b,#acaac1ff c,#401f4fff d,#684f74ff e,#d9d7e2ff f,#44568fff g,#8182a6ff ``` ```image e aaae aaaaag aaaaaaaa eaaaaefaaaa eaaaa eaaaab baaaa aaaaf gaaaa faaaa faaaf gaaaae aaaaf eaaaag aaaag aaaaa aaaab faaaa aaaae baaaab eaaaa aaaaf baaaa aaaaa gaaaa gaaaae faaaa eaaaag faaaf aaaaa aaaag faaaa aaaab baaaab aaaae aaaaf eaaaa aaaaa eaaaa gaaag baaaa eaaa gaaaa aaa faaaf aaa dccdbe aaaag gaag ccccccccccdgaaaab aaa cccccccccccaaaacccdbe aaa ebdccccaaaaccccccccccccgbe aaa eaaaadcccccccccccccccccccdge gaag baaaa ebdcccccccccccccccce aaa b gaaaa bgdccccccccd aaa baa faaaf ebccc aaa aaaaaaaaf ccc gaag baaaaaag dcce aaa aaaab bccg aaa bae ccc aaa ccc gaag ccc aaa d dcce aaa dcc bccg aaa gcccb ccc gaag bcccg ccc aaaecccd ccc aaacccc dcce aaaccc bccd gaaac ccc caaa ccc dcaaa ccc gccaaa gccb bcccfaag eccd ecccd aaa ccc cccd aaa ccc cccc aaae ccc cccc baag gccb cccc aaa eccd dccc aaa ccc gccce aaae ccc bcccb baag ccce ecccg aaa bccg cccd aaa ccc cccc aaae ccc cccc baag ccc cccc aaa dcce dccc aaa bccg dccce aaae ccc bcccb baag ccc ecccg aaa ccc ecccd aaa dcce cccc aaae bccd cccc e ccc cccc ccc dccc ccc dccce gccb gcccb eccd ecccg cccecccd ccccccc cccccc gcccc eccc cce ``` <!-- 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,#4dc7c8ff b,#2bb4e7ff c,#8cd7ecff d,#79cec8ff e,#c7ecf3ff f,#b1d7b1ff g,#95c996ff ``` ```image ebb ebb bb bb bb bb bb bb bb gggbbggggggggggggggggggggggf fffbbffffffffffffffffffffffg fffbbffffffffffffffffffffffg ebb fffbbffffffffffffffffffffffg abbbb fffbbffffffffffffffffffffffg cbbbbbbbc fffbbffffffffffffffffffffffg cbbbbbc ebb fffbbffffffffffffffffffffffg ebbbbba bb fffbbffffffffffffffffffffffg ebbbbbbe bbe fffbbdfffffffffffffffffffffg abbbbbe cbb fffbbdfffffffffffffffffffffg cbbbbbc bb fffbbdfffffffffffffffffffffg cbbbbbc bb fffabdfffffffffffffffffffffg cbbbbba abc fffabdfffffffffffffffffffffg ebbbbbbe ebb fffabafffffffffffffffffffffg ebbbbbbe bb fffdbafffffffffffffffffffffg cbbbbbc bbe fffdbafffffffffffffffffffffg cbbbbbc cbb fffdbbfffffffffffffffffffffg cbbbbba bb fffdbbfffffffffffffffffffffg ebbbbbbe bb fffdbbfffffffffffffffffffffgbbbbbbe abc ffffbbfffffffffffffffffffabbbbbc ebb ffffbbffffffffffffffffabbbbbc bb ffffbbfffffffffffffdbbbbbafg bbe ffffbbffffffffffdbbbbbbffffg cbb ffffbbafffffffbbbbbbdffffffg bb ffffbbaadffabbbbbdfffffffffg bb ffffbbaaabbbbbdffffffffffffg abc ffffbbffbbbbfffffffffffffffg ebb ffffbbfabbaaadfffffffffffffg bb fffdbbfbbffaaaaffffffffffffg bbe fffabbbbbffffaaaaffffffffffg cbb fffabbbbffffffdaaadffffffffg bb fffabbbdffffffffaaaafffffffg bb fffabbbfffffffffffaaaafffffg abc fffabbfffffffffffffdaaadfffg ebb fffaaffffffffffffffffaaaaffg ffdaaffffffffffffffffffaaaag ffffffffffffffffffffffffdaaac ffffffffffffffffffffffffffaaaa fffffffffffffffffffffffffffgaaad fffffffffffffffffffffffffffg caaae fffffffffffffffffffffffffffg aaaa fffffffffffffffffffffffffffg eaaad fffffffffffffffffffffffffffg daaae fffffffffffffffffffffffffffg aaaa fffffffffffffffffffffffffffg eaaad fffffffffffffffffffffffffffg daaae fffffffffffffffffffffffffffg aaaa fffffffffffffffffffffffffffg eaaad fffffffffffffffffffffffffffg daaae fffffffffffffffffffffffffffg aaaa fffffffffffffffffffffffffffg eaaac fffffffffffffffffffffffffffg daaae aaaa caaac aaaae eaaaa caaac aaaa eaaad caaae aaaa eaaad daaae aaaa eaaad daaae aaaa eaaad daaae aaaa eaaa d ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4bc7c7ff b,#2ab4e7ff c,#95dbebff d,#70cee4ff e,#def3f8ff f,#4bbfeaff g,#bae7f1ff ``` ```image dbbbd cbbbd cbbbd cbbbd cbbbd cbbbf gbbbf gbbbf gbbbf gbbbb ebbbb ebbbb ebbbb ebbbbe ebbbbe bbbbe bbbbe bbbbe bbbbg fbbbg fbbbg fbbbg fbbbc dbbbc dbbbc dbbbc dbbbc dbbbd cbbbd cbbbd cbbbd cbbbf gbbbf gbbbf gbbbf gbbbf gbbbb ebbbb ebbbb ec ebbbb gdbb ebbbbe gdbbbbb bbbbe gdbbbbbbbb bbbbe ecfbbbbbbbbbb bbbbe ecfbbbbbbbbbbdg bbbbg gfbbbbbbbbbbfce fbbbg gdbbbbbbbbbbfce fbbbde gdbbbbbbbbbbfce fbbbaac ecfbbbbbbbbbbdg fbbbaaaag ecfbbbbbbbbbbdg fbbbaaaaade gfbbbbbbbbbbfce fbbbaaaaaaaddbbbbbbbbbbfce fbbbfdaaaabbbbbbbbbbfce fbbbd gaabbbbbbbbbdg bbbbd dbbbbbbbd bbbbd fbbbbaaaade ebbbbd dbbbbaaaaaaace gabbbd ebbbbdecaaaaaaag cabbbd fbbbbe edaaaaaade cabbbfcbbbbc gaaaaaaace dabbbfbbbbf ecaaaaaaag aabbbbbbbbe edaaaaaade aabbbbbbbd gaaaaaaac eaabbbbbbf ecaaaaaaag gaabbbbbbg edaaaaaade gaabbbbbd caaaaaaac caabbbbbe edaaaaaaag daabbbbc gaaaaaaade aaabbbf caaaaaaac aaaacc edaaaaaaag eaaaa gaaaaaaade gaaaa caaaaaaac gaaad edaaaaaaa ee gaaaaaa caaaa edaa ga ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4cc8c6ff b,#2ab4e7ff c,#99dceaff d,#76d2e0ff e,#dcf3f7ff f,#50c1ebff g,#bae7f1ff ``` ```image gbb ebb ebb bb bb bb bb bb bb bb bb bb ebb bb efbbbb bb dbbbbbfbd bb cbbbbbd ebb bb gbbbbbfe bb bbe gbbbbbbe bbg bbe efbbbbbg cbf fbg dbbbbbc bb fbg cbbbbbd bb fbc cbbbbbfe fbd dbc gbbbbbfe ebb dbd efbbbbbg bb cbd dbbbbbc bbg cbf dbbbbbd cbf gbf cbbbbbf bb gbb gbbbbbfe bb ebb efbbbbbg fbd ebb fbbbbbc ebb bb dbbbbbd bb bb cbbbbbf bbg bb gbbbbbfe cbf bba efbbbbbg bb bbaad fbbbbbc bb bbdaabbbbbc fbd bb bbbb ebb ebb dbbaaad bb cbb bbe daaae bbg dbbbbf eaaaa cbf abbbb gaaac bb abbbg daaae bb abbb eaaaa fbd abb caaac ebb eaa aaaae gad eaaaa caaac aaaae eaaad caaag aaaa eaaad daaag aaaa gaaad daaag aaaa gaaad daaae aaaa gaaac daaae eaaaa caaac aaaae eaaaa caaac aaaae eaaad caaag aaaae eaaad daaag aaaa gaaad daaag aaaa gaaad daaae aaaa gaaa d ``` <!-- end of image -->
[ "" ]
I'm optimistic that I'll find some intersections in this image. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b654eaff b,#d818ecff c,#e5b3f6ff d,#c86ee4ff e,#b1d7b1ff f,#f0f2f2ff g,#b79cc7ff ``` ```image ff cdaaaac caaaaaaaaad aaaaaaaaaad daaadc faad cf faad aaa aaa aaa daaf aaa daaaa aaa daaaaad aaa daaadaaaf aaa aaaac daaa aaa aaaac aaaa aaa aaaac faaac aaa aaaac caaa aaa aaaac aaaa aaa aaaaf aaac aaa aaaaf caaaf aaa aaaaf aaaa daaf aaaaf faaadfffffffffffffffffffffffffffffffffffffffffff daaf faaaa feeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee daac faaaa feedaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee daac faaaa feeeaaaaeeeeeeeeeeeeeeedeeeeeeeeeeeeeeeeeeeeeeeee caac faaaa feeeeaaageeeeeeeeeeeegbbbeeeeeeeeeeeeeeeeeeeeeeee caaccaaaa feeeegaaaeeeeeeeeeeeabbbbdeeeeeeeeeeeeeeeeeeeeeee caadaaaa feeeeeaaaaeeeeeeeeebbbbbbbeeeeeeeeeeeeeeeeeeeeeee caaaaaa feeeeeeaaageeeeeegbbbbabbbeeeeeeeeeeeeeeeeeeeeeee faaaaa feeeeeegaaaeeeeebbbbbgedbbbeeeeeeeeeeeeeeeeeeeeee faaaa feeeeeeeaaaaeeebbbbbeeeebbbeeeeeeeeeeeeeeeeeeeeee aad feeeeeeeeaaaddbbbbdeeeeebbbgeeeeeeeeeeeeeeeeeeeee f feeeeeeeeeaabbbbbeeeeeeegbbbeeeeeeeeeeeeeeeeeeeee feeeeeeeeeabbbbbeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeee feeeeeeeeabbbbaeeeeeeeeeebbbdeeeeeeeeeeeeeeeeeeee feeeeeeebbbbbaageeeeeeeeeebbbeeeeeeeeeeeeeeeeeeee feeeeebbbbbagaaaeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeee feegbbbbbbgeeaaaaeeeeeeeeedbbbeeeeeeeeeeeeeeeeeee fdbbbbbbbeeeeeaaageeeeeeeeebbbeeeeeeeeeeeeeeeeeee bbbbbbbdeeeeeeegaaaeeeeeeeeebbbgeeeeeeeeeeeeeeeeee cbbbbbbbgeeeeeeeeeeaaaaeeeeeeeegbbbeeeeeeeeeeeeeeeeee cbbbbbbbeeeeeeeeeeeeeeaaadeeeeeeeebbbeeeeeeeeeeeeeeeeee dbbbbbbdfeeeeeeeeeeeeeeeeaaaeeeeeeeebbbdeeeeeeeeeeeeeeeee fbbbbbbbc feeeeeeeeeeeeeeeedaaaeeeeeeeebbbeeeeeeeeeeeeeeeee cbbbbbbbc feeeeeeeeeeeeeeeeeaaaaeeeeeeebbbeeeeeeeeeeeeeeeee dbbbbbbb feeeeeeeeeeeeeeeeeeaaageeeeeedbbbeeeeeeeeeeeeeeee bbbbbbbd feeeeeeeeeeeeeeeeeegaaaeeeeeeebbbeeeeeeeeeeeeeeee cbbbbbbbc feeeeeeeeeeeeeeeeeeeaaaaeeeeeebbbgeeeeeeeeeeeeeee cbbbbbbbf feeeeeeeeeeeeeeeeeeeeaaageeeeegbbbeeeeeeeeeeeeeee dbbbbbbd feeeeeeeeeeeeeeeeeeeegaaaeeeeeebbbeeeeeeeeeeeeeee fbbbbbbbc feeeeeeeeeeeeeeeeeeeeeaaaaeeeeebbbdeeeeeeeeeeeeee cbbbbbbbc feeeeeeeeeeeeeeeeeeeeeeaaadeeeeebbbeeeeeeeeeeeeee dbbbbbbb feeeeeeeeeeeeeeeeeeeeeegaaaeeeeebbbeeeeeeeeeeeeee abbbbbbd feeeeeeeeeeeeeeeeeeeeeeedaaaeeeedbbbeeeeeeeeeeeee fbbbbbbbc feeeeeeeeeeeeeeeeeeeeeeeeaaaaeeeebbbeeeeeeeeeeeee bbbbbbf feeeeeeeeeeeeeeeeeeeeeeeeeaaageeebbbgeeeeeeeeeeee abba feeeeeeeeeeeeeeeeeeeeeeeeegaaaeeegbbbeeeeeeeeeeee d feeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeeebbbeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeaaageeabbdeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeegaaaeeebbbeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaeebbbeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaadedbbbeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeegaaaeebbbeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaaaebbbgeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaagbbbeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaagbbbeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaaaabbdeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaabbbeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaabbbeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaabbbbeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaabbbeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaabbbgeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaabbbeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedabbbeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbbdeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbbeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbbgeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbgeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbaeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbbgee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbgee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#b554ebff b,#d817edff c,#e8b5f7ff d,#e289f4ff e,#e04df0ff f,#f5ddfbff g,#c374eeff ``` ```image aaaaag gaaaaac caaaaag gaaaaad faaaaaa caaaaa fdf aaaaac febbbbe aaaaaaf bbbbbbbf daaaaag febbbbbbbd gaaaaac cbbbbbbbbbb faaaaaa dbbbbbbbbbbbc gaaaad cbbbbbbbedbbbbb faaaaaf ebbbbbbbd bbbbb aaaaag febbbbbbbc bbbbb gaaaaad bbbbbbbbe bbbbbf faaaaaaf cbbbbbbbef dbbbbb daaaaagdbbbbbbbb fbbbbbc gaaaaabbbbbbbbc ebbbbe faaaabbbbbbbef cbbbbbf gbbbbbbbbc dbbbbe bbbbbbbbe fbbbbbf febbbbbbba ebbbbd cbbbbbbbbaad dbbbbb dbbbbbbbbaaaa fbbbbb fdbbbbbbbbefdaaaag cbbbbf cbbbbbbbbbd aaaaac bbbbd cebbbbbbbbbf aaaaaaf bbbbe dbbbbbbbbbbbe caaaaag bbbbbf bbbbbbbbbbbc faaaaaaf dbbbbb bbbbbbbbbdf caaaaag fbbbbbc bbbbbbbd gaaaaa ebbbbe bbbbbec faaaaac cbbbbbf bbf daaaaag dbbbbe c gaaaaac fbbbbbf faaaaaaf ebbbbd caaaaag dbbbbb gaaaaa fbbbbb caaaag bbbbbf aaaaad bbbbbd aaaaaac dbbbbe caaaaaaf fbbbbbf gaaaaa dbbbbb faaaaaf fbbbbbc caaaag ebbbbe aaaaac cbbbbbf caaaaag dbbbbe gaaaaad fbbbbb faaaaaac ebbbb caaaaaa dbbbb daaaaa fbbbbc aaaaaaf bbbbbf caaaaag bbbbbd gaaaaac dbbbbe faaaaaaf fbbbbbc gaaaaa dbbbbb faaaaac fbbbbbc caaaaaf ebbbbe aaaaag cbbbbb faaaaaaf dbbbb caaaaag fbbbbc gaaaaac bbbbd faaaaaa bbbbb aaaaad ebbbbe aaaaaac cbbbbbf caaaaaaf bbbbbd daaaaag dbbbbb gaaaaac fbbbbbc caaaaa dbbbbb gaaaac fbbbbbc faaaaaf ebbbbe aaaaag cbbbbb faaaaaacbbbbb caaaaaabbbbbc daaaaaebbbbe gaaaadbbbbb aaaaaebbbbe gaaaaabbbbbf faaaaabbbbbd caaaabbbbbb gaaaabbbbbc caaaabbbbb aaaabbbbb gaaabbbbb faaaabbbbf gaabbbbb faabbbbbc cabbbbbe gabbbbb abbbbbe dabbbbbf gbbbbbe fbbbbbbf dbbbbba dbbbbbf bbbbbg bbbbbad bbbbbaf dbbbbb fbbbbbc ebbbef cbed ``` <!-- end of image --> There is 2 intersections point visible in this close-up of area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b555ebff b,#d817ecff c,#e7b4f7ff d,#e876f3ff e,#dc40efff f,#f4ddfbff g,#ca86f0ff ``` ```image ff cgaaaaf caaaaaaaaag aaaaaaaaaag aaaaac faag ff faaa aaa aaa aaa gaa aaa gaaaa aaa gaaaaag aaa aaaagaaaf aaa aaaag gaaa aaa aaaac aaaa aaa aaaac aaac aaa aaaac gaaa aaa aaaaf aaaa aaa aaaaf aaag aaa aaaaf caaa aaa aaaaf aaaa aaaf aaaa aaag gaaf aaaa faaaf gaac faaaa gaaa gaac faaaa aaaa df gaac faaaa aaac fbbb caagfaaaa gaaa ebbbbd caaaaaaa aaaa bbbbbbb caaaaaa aaag cbbbbebbbf faaaaa caaa ebbbbc dbbe faaaa aaaa fbbbbb bbb aaa aaagdbbbbd bbbc f faabbbbbf cbbb abbbbe bbb ebbbbe ebbd bbbbbaac fbbb fbbbbbegaaa bbbf cbbbbbbf aaaa dbbe dbbbbbbe aaac bbb ebbbbbbd caaa bbbc fbbbbbbbc aaaa cbbb dbbbbbbbf aaag bbb ebbbbbbe faaaf ebbd fbbbbbbbd gaaa fbbb cbbbbbbbf aaaa bbbf dbbbbbbe faaac dbbe ebbbbbbd gaaa bbb fbbbbbbbc aaaa bbbc cbbbbbbbf aaac cbbb dbbbbbbe caaa bbb fbbbbbbbd aaaa ebbd cbbbbbbbc aaag fbbb dbbbbbbe faaaf bbbf ebbbbbbd gaaa dbbe fbbbbbbbc aaaa bbb bbbbbbf faaac bbbc ebbe gaaa cbbb d aaaa bbb aaac ebbd caaa fbbb aaaa bbbf aaag dbbe faaaf bbb gaaa bbbc aaaacbbb faaacbbb gaaaebbd aaaabbb aaabbbf caaebbe aaabbb aabbbc faabbb gabbb abbbd fabbb gbbbf ebbb bbbc bbbe cbbbf bbb ebbf ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5c0b4ff b,#7bc995ff c,#e1ddd4ff d,#f1f3eeff e,#b1d7b1ff f,#95ca97ff g,#c4a996ff ``` ```image a dg gg gd ag dg gc agc cg ggg gc gdg dg cg gd ga ga ga dg gd cg gg dg g gd ag ga ag gc ag gc g g cg ag gc ga ga ag dg g dg ga cg gd g ga ga gg gd cg gd dg g ag ag ga gc gc ag cg g g ga ag gc dg ga ag gg g dg g cg gd ag ga ga gd gd cg ag dg g gc ag ga cg gc ag ga g g dg cg gc gg ga ag g gd dg ag gc cg gd gd ag gg ga ag dg gc cg gc gc dg g cg ag ag gc ga g gc ag dg ga g g gg cg cg gc gd gd ga gg ag gg gd dg gc efffffgfffffffffffffffffffgfffffffffffffffffffffffffgffffffggffd feeeeegeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeggeed feeeeeggeeeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeegeeed feeeeeegeeeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeggeeed feeeeeeggeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeegeeeed feeeeeeggeeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeggeeeed feeeeeeegeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeegeeeeed feeeeeeeggeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeggeeeeed feeeeeeeegeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeegggeeeeeed feeeeeeeegeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeed feeeeeeeeggeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeed feeeeeeeeegeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeggeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeggeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed febffeeeeeegeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed febbbbbbbbbggfeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed dbc feeeeeeeefffgbbbbbbbbgfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed dbe feeeeeeeeeeegeeeeefffgbbbbbbbffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed dbe feeeeeeeeeeeggeeeeeeggeeeeeffbbbbbbbbbffeeeeeeeeeeeeeeeeeeeeeeed cbe feeeeeeeeeeeegeeeeeegeeeeeeeeeeeeeeefbbbbbbbbbbffeeeeeeeeeeeeeed cbe feeeeeeeeeeeegeeeeeegeeeeeeeeeeeeeeeeeeeeeeeffbbbbbbbbbbffeeeeed cbc feeeeeeeeeeeeggeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffbbbbbbbbbfecd ebc feeeeeeeeeeeeegeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefefbbbbbbbbfbc feeeeeeeeeeeeeggeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed dcefd feeeeeeeeeeeeeggeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeegeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeggegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeegegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeegggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeeggeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeed effffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#d1baacff b,#7bc996ff c,#e0d1c7ff d,#edece6ff e,#a3d9b5ff f,#c8e8d3ff g,#c5a796ff ``` ```image cggd ga gga ga dgga dgc aggd cgc agg cgd dggc gg cgg ag gga cgg agd cgg cggd dgga dgc agg dggc aggd ga gga agg dgga cgd dggc cggd cggd dgc cggd dggc gga gg gga gga cggc ggd dggc aggd ggg gga cggd cggc dggc agg agg gga aggd gga cggd cgg aggd aggd agg dggdgga dggc gga agcggd ggg dggc cgggg cggd cggd dgggc dggc gga ggg agg dggc agc cggc cggd dgd aggd gga cggc ggc gga gg cggd ga dggc dgc feeffdd ggg cgd fbbbbbbbbeeffdd cgg gg fbbbbbbbbbbbbbbbbggffdd dgc ddffeeebbbbbbbbggbbbbbbeeffd cgd gaffeeebbbbbbbbbggbbbbbeeffd agd dffeeebggbbbbbbbbbbbbbeeffd dgc aggffeeebbbbbbbbbbbbbbbeeeffd gg gga dffeebbbbbbbbbbbbbbbbeeeffd ggd dggc dffeebbbbbbbbbbbbbbbbeeeffdd ggc cggd dffeebbbbbbbbbbbbbbbbeeeffdd agg agg dffeebbbbbbbbbbbbbbbbeeeffdd cggd dggc ddffeebbbbbbbbbbbbbbbbeeeffdd agg agg ddffeebbbbbbbbbbbbb cggc gga ddffeeebbbb gga dggc ddf aggd cggd dggc gga ggg dggc cggd cggd dgga agg cggc cggd gga agg agg gga dggdggc ggcggd cggga dgggc aggd cgg ad ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d1baadff b,#7cc996ff c,#e0d1c8ff d,#edebe6ff e,#a3d9b5ff f,#c8e8d3ff g,#c5a796ff ``` ```image a dg gg g ag g gd agc cg ggg gc gdg dg cg gd ga ga ga g gd dg gg dg g gd ag gc ag gd cg gd g g cg cg gc gc gc ag dg g dg ga cg gd g ga ga ag gd cg gd dg g ag ag gc gc gc cg cg g g gc cg gc dg gc ag ga g dg g dg gd ag ga ga gd gd cg cg dg g gc ag gc dg gc cg ga g g dg cg gd gg ga ag g g dg ag gd dg gd gd ag gg ga cg g gd cg gc gc g g dg cg ag gc ga g gc ag g ga g g gg cg cg gd g gd ga ag ag gg gd dg gd dg dg gd cg gc ag ga gc ag gd cg dg g g g ga gc cg gc g cg gc ag gg g g g gd ga cg gdag dg ga aggd gd gd dgg ag dg gc dg ag d gc gc cg g eefd g cg bbbbbbbbbgafd gc dbf dfebgbbbbbbbegf dbe gd dfebgbbbbbbbefd dbe gg ga dfebbbbbbbbbefd fbe dg gd ffebbbbbbbbbefd fbf gd dg feebbbbbbbbbefd fbf ag ag dfeebbbbbbbbbefd fbf g gc dfeebbbbbbbbbbf gc g dfebd cg cg g ga ga g dgdg gga agd dg ``` <!-- end of image -->
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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,#bee829ff b,#dff39cff c,#a5d30fff d,#bbe164ff e,#f0f7eaff f,#b1d7b1ff g,#a8d3a3ff ``` ```image daa aaa aaae eaaab d daaad dcc aaaaa dcccb aaaaa dcccb eaaaaa dcccb daadaae acccb aaaeaab acccb ecc aaa aaa accce ccc eaad aaa accce bccd baae aaa accce ccc aaa aaa cccce dccd aaa baae cccce ccc eaad eaab cccce accb baae aaa cccce eccc aaa aaa cccce ccce aaa aaa cccce eccc aad daa cccc ccc baab baae cccc bcca aaa eaab cccc eeeeccceeeeeeaaaeeeeeeaaaeeeeeeeeeeeeeeeeeeee cccc eggggdccdgggggaaaggggggaaagggggggggggggggggggge cccc egffffcccffffdaadffffffaaafffffffffffffffffffge cccc egffffcccdfffaaafffffffaaafffffffffffffffffffge cccc egfffffcccfffaaafffffffdaagffffffffffffffffffge cccc egfffffcccgffaaafffffffgaadffffffffffffffffffge cccc egfffffgcccfdaadffffffffaaaffffffffffffffffffge cccc egffffffcccfaaafffffffffaaaffffffffffffffffffge cccc egffffffdcccaaafffffffffaaaffffffffffffffffffge ecccc egfffffffcccaaafffffffffdaaffffffffffffffffffge ecccc egfffffffdcccadfffffffffdaadfffffffffffffffffge ecccc egffffffffcccafffffffffffaadfffffffffffffffffge ecccc egffffffffaccafffffffffffaaafffffffffffffffffge ecccc egfffffffffcccfffffffffffaaafffffffffffffffffgeecccc egffffffffgcccgffffffffffaaafffffffffffffffffgeccca egffffffffdacccffffffffffdaafffffffffffffffffgccca egffffffffaacccffffffffffdaadfffffffffffffffgccca egffffffffaaacccffffffffffaadffffffffffffffgccca egfffffffgaadcccffffffffffaaafffffffffffffgccca egfffffffdaagdccafffffffffaaaffffffffffffdcccce egfffffffaaaffcccfffffffffaaafffffffffffdcccage egfffffffaaaffaccdffffffffdaaffffffffffdcccafge egffffffgaadfffcccffffffffdaadffffffffdcccdffge egffffffdaagfffcccgffffffffaadfffffffdcccdfffge egffffffaaaffffgcccffffffffaaadfffffdcccdffffge egffffffaaafffffcccgfffffffaaaaafffdcccdfffffge egffffffaaafffffgcccffffffffdaaaafdcccdffffffge egfffffdaagffffffcccfffffffffgaaaccccdfffffffge egfffffaaafffffffdccaffffffffffaccccdffffffffge egfffffaaaffffffffcccffffffffffacccaaffffffffge egfffffaaaffffffffaccdffffffffacccaaaafffffffge egffffdaadfffffffffcccfffffffacccdfaaaadfffffge egffffaaaffffffffffcccdfffffacccgfffaaaaaffffge egffffaaafffffffffffcccffffccccgfffffdaaaafffge egffffaaafffffffffffcccgffccccgfffffffgaaaagfge egfffdaadfffffffffffgcccfccccgffffffffffaaaadge egfffaaafffffffffffffcccccccgffffffffffffaaaaae egfffaaafffffffffffffdcccccgffffffffffffffdaaaa egfffaaaffffffffffffffccccgffffffffffffffffgaaaae egffgaadffffffffffffffdccgfffffffffffffffffffaaaad egffaaaffffffffffffffffgfffffffffffffffffffffgdaaaa egggaaagggggggggggggggggggggggggggggggggggggggebaaaae eeeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eaaaab eaab aaaad daae daaaab aaa eaaaaab aaa aaaaaad eaad daaaaaae daae daaaaaae aaa baaaaaab aaa baaaaaab eaad eaaaaaad baae aaaaaaa aaa daaaaaae aaa baaaaaab eaad baaaaaab baab eaaaaaae aaa aaaa aaa db ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bee928ff b,#dbf093ff c,#a5d30eff d,#cfeb6cff e,#f4fae0ff f,#c2e649ff g,#e8f5bbff ``` ```image ecccccce daaaaae daaaaae dcccccd aaaaaf baaaaag ecccccce eaaaaad gaaaaab fcccccb baaaaag eaaaaad gcccccc daaaaae aaaaaf acccccb faaaaf faaaaa bccccca eaaaaad daaaaae ccccccg gaaaaab baaaaag bcccccf daaaaae gaaaaab ecccccce faaaaa eaaaaad dcccccd eaaaaad aaaaaf ecccccce gaaaaab daaaaa fcccccb daaaaae daaaaae gcccccc faaaaa baaaaag fcccccbeaaaaad gaaaaab bcccccagaaaaab eaaaaad acccccdaaaaag faaaaf bccccccaaaaa daaaaa eccccccaaaaf baaaaae dccccccaaab gaaaaag eccccccaaag gaaaaab fccccccaa aaaaad gccccccaf faaaaf fcccccab daaaaa gccccccg baaaaae ccccccb gaaaaag acccccf eaaaaab eaccccccg aaaaad baccccccd faaaaf daacccccce daaaaa aaaccccccd baaaaae g eaaaacccccc gaaaaag gc baaaaccccccb eaaaaab gcc daaaaaccccca aaaaad gccc faaaafacccccg faaaaf gcccc eaaaaadbcccccf daaaaa gccccc gaaaaab ccccccg baaaaae gcccccc daaaaae dcccccf gaaaaag gccccccc faaaaa ecccccce eaaaaab gcccccccf eaaaaad dcccccd aaaaad gcccccccf gaaaaab ecccccce faaaaf bcccccccf daaaaae fcccccb daaaaae bcccccccf faaaaa gcccccc baaaaag bcccccccf eaaaaad acccccb gaaaaab bcccccccf gaaaaab bcccccf eaaaaab bcccccccd baaaaag ccccccg aaaaad bcccccccd faaaaa bcccccf faaaaag bcccccccd eaaaaad ecccccce daaaaaab bcccccccd gaaaaab dcccccd baaaaaaade dcccccccd baaaaag ecccccce faaaaaaafe dcccccccd faaaaa fcccccb edaaaaaaaag dcccccccd aaaaaf gcccccc baaaaaaaab dcccccccb gaaaaab fcccccb gaaaaaaaafdcccccccb baaaaag bccccca efaaaaaaccccccccb daaaaae ccccccg daaaaccccccccb aaaaaf bcccccf baaccccccccb gaaaaab ecccccce gccccccccae baaaaag dcccccd fcccccccaaag daaaaae ecccccce fcccccccaaaaab aaaaaf fcccccd fcccccccaaaaaaade eaaaaad gcccccc fcccccccbfaaaaaaafe baaaaag fcccccb fcccccccg edaaaaaaaag daaaaae gccccca fcccccccg baaaaaaaad aaaaaf acccccg efcccccccg gaaaaaaaafe eaaaaad bcccccf efcccccccg efaaaaaaafg baaaaab ccccccg efcccccccg daaaaaaaab daaaaae dcccccd eacccccccg baaaaaaaad faaaaa ecccccce eacccccccg gfaaaaaaafe eaaaaad dcccccd eacccccccg efaaaaaaaag gaaaaab gcccccc eaccccccce daaaaaaaab daaaaae fcccccbeaccccccce gaaaaaaaad faaaaa gcccccaaccccccce efaaaaaaa eaaaaad acccccccccccae edaaaaaa gaaaaab bccccccccccae baaaaa baaaaag cccccccccae gaaaa faaaaa dcccccccae efaa eaaaaad eccccccae da gaaaaab dccccae b baaaaag fccfe faaaaa ee aaaaaf ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#bee928ff b,#dbf092ff c,#a5d30eff d,#d0ec6dff e,#f3fadeff f,#c2e64aff g,#e8f5baff ``` ```image daa aaa aaae gaaab d daaaf dcc aaaaa fcccb aaaaa fcccb eaaaaa fcccg daadaae fcccg aaaeaab fcccg gcc aaa aaf acccg ccc eaad aaa acccg bccf daae aaa accce ccc aaa faa accce fccd aaa baae cccce ccc eaad eaab cccce accg baag aaf cccce ccc aaa aaa cccce ccce aaa aaa cccc eccc aaf faa cccc ccc baag baag cccc bccf aaa eaad cccc ccc aaa aaa cccc dccd aaf aaa cccc ccc baag aaa cccc accb faa faa cccc ccc aaa baag cccc ccce aaa eaad cccc eccc gaab aaa cccc ccc faa aaa cccc gccaaaa aaa cccc cccaaa daa cccc dcccab gaag ecccc ccca aad ecccc fcca aaa ecccc ccc aaa ecccc ecccg aaa eccca daccc daa eccca aaccc gaag gccca aaacca aad gccca eaadccc aaa gcccf daaedccf aaa gcccf aaa ccc aaa gcccf aaa fccb daae bcccf eaad ccc gaab bcccf baag cccg aad bcccd aaa eccc aaab bcccd aaa ccce faaaf dcccd aaf gccc baaaa dcccb baag ccc eaaaccccb aaa bccf accccb aaa ccc fcccaa aaf fccd fcccaaaae baag ccc fcccgeaaaag aaa accg fcccg aaaaf aaa ccc fcccg daaaa aaa ccce acccg gaaaae gaab gccc accce aaaab faa cccaccce faaaf aaa bccccce baaaa aaa cccce eaaaag gaab dcce aaaad faa e faaaa aaa gaaaae aaa eaaaag gaab aaaaf daae daaaag aaa gaaaaab aaa aaaaaad eaad faaaaaf daae daaaaaae aaa baaaaaag aaa gaaaaaab eaad eaaaaaad daae faaaaaf aaa daaaaaae aaa baaaaaag aaf gaaaaaab baag eaaaaaag aaa faaa faa db ``` <!-- end of image -->
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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,#a3ef5cff b,#e8ecebff c,#b3ea8aff d,#f1f6f1ff e,#b2d8b2ff f,#a6d2a6ff g,#d1e8caff ``` ```image bd bb bbb bbb dbbb bbdbd bb bd bb bb bb bb dbd bb bb bb bb db dddddddddddddddbbddddbbdddddddddddddd dfffffffffffffffbbffffebgfffffffffffffd dfeeeeeeeeeeeeegbgeeeeebbeeeeeeeeeeeefd dfeeeeeeeeeeeeebbeeeeeebbeeeeeeeeeeeefd dfeeeeeeeeeeeeebbeeeeeebbeeeeeeeeeeeefd dfeeeeeeeeeeeebbeeeeeeebbeeeeeeeeeeeefd c dfeeeeeeeeeeeebbeeeeeeegbeeeeeeeeeeeefd daaacdfeeeeeeeeeeegbgeeeeeeegbgeeeeeeeeeeefd gaaaaaceeeeeeeeeebbeeeeeeeeebgeeeeeeeeeeefd gaaaaaceeeeeeebbeeeeeeeeebbeeeeeeeeeeefd dfcaaaaaceeegbeeeeeeeeeebbeeeeeeeeeeefd dfeeecaaaaacbbeeeeeeeeeebbeeeeeeeeeeefd dfeeeeeecaaaaaceeeeeeeeebbeeeeeeeeeeefd dfeeeeeeeeeeaaaaaceeeeeegbeeeeeeeeeeefd dfeeeeeeeeebbecaaaaaceeegbgeeeeeeeeeefd dfeeeeeeeegbgeeeecaaaaafebgeeeeeeeeeefd dfeeeeeeeebbeeeeeeeecaaaaageeeeeeeeeefd dfeeeeeeeebgeeeeeeeeeeecaaaaafeeeeeeefd dfeeeeeeebbeeeeeeeeeeeeeebcaaaaceeeeefd dfeeeeeeebbeeeeeeeeeeeeeebbeeaaaaceeefd dfeeeeeegbgeeeeeeeeeeeeeegbeeeecaaaaefd dfeeeeeebbeeeeeeeeeeeeeeegbgeeeeecaaaad dfeeeeeebbeeeeeeeeeeeeeeeebgeeeeeeecaaaad dfeeeeebbeeeeeeeeeeeeeeeeebbeeeeeeeeefaaaad bd dfeeeeebbeeeeeeeeeeeeeeeeebbeeeeeeeeefddaaaad bb dfeeeegbgeeeeeeeeeeeeeeeeebbeeeeeeeeefd daaaag bb dfeeeebbeeeeeeeeeeeeeeeeeebbeeeeeeeeefd aaaag db dfeeeebbeeeeeeeeeeeeeeeeeegbeeeeeeeeefd caaag bb dfeeebbeeeeeeeeeeeeeeeeeeegbgeeeeeeeefd caaag bb dffffbbfffffffffffffffffffebgfffffffffd caaac bb dddbbbddddddddddddddddddddbbddddddddd caaac dbd bb bb gaaac bb bb bb gaaaa bb bb bb gaaaad dbd bb db baaaad bb dbd dbd daaaad bb bb bd daaaag bb bb bb aaaag bbb bb caaag bbb bb caaag bbd bb caac b db c dbd bd bb bb bb bb db dbd bd bb bb bb bb db dbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbd d ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3f05bff b,#e8ececff c,#cff5acff d,#f4f7f4ff e,#e2f8cdff f,#b1f174ff g,#bff38fff ``` ```image bbbb dbbbd dbbbb dbbbd dbbbd bbbd bbbb bbbb dbbbd bbbb bbbb bbbb bbbb dbbb dbbbd dbbbd bbbb dbbbd dbbbd bbbd bbbb bbbb bbbb bbbb dbbbd bbbb bbbb dbbb dbbbd dbbbd ce bbbbd dbbbd aafce bbbb bbbd aaaaafcb dbbbd bbbb aaaaaaaafcd bbbb bbbb egaaaaaaaaafcd dbbbd bbbb degaaaaaaaaafcd bbbbd dbbb degaaaaaaaaafcd bbbb dbbbd dcgaaaaaaaaafcbbbbd dbbbd dcfaaaaaaaaafcb bbbd dcfaaaaaaaaaged bbbb dcfaaaaaaaaaged bbbb bcfaaaaaaaaaged dbbb dbbecfaaaaaaaaage dbbb bbbb bcfaaaaaaaaage dbbbd dbbbd ecfaaaaaaaaage dbbbd dbbbd ecfaaaaaaaaage bbbd bbbb ecfaaaaaaaafgebbb dbbbd egaaaaaaaaaage bbbb egaaaaaaaaafce dbbbb egaaaaaaaaafce dbbbd egaaaaaaaaafcd bbbb dbcgaaaaaaaaagd dbbbd bbbbegaaaaaaaagb bbbb bbbb degaaaaaaage dbbbb bbbb dcaaaaaaage dbbbd dbbb dcaaaaaaafe bbbb dbbb dcfaaaaaafe dbbbd dbbbd efaaaaaa bbbb dbbbd efaaaa dbbbb bbbd efaa dbbbd bbbb eg bbbb bbbb dbbbd dbbb bbbb dbbb bbbb dbbbd dbbbd dbbbd bbbb bbbd dbbbd bbbb bbbb bbbb bbbb dbbb dbbbd dbbb bbbb dbbbd dbbbd dbbbd ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a3f05cff b,#e8ececff c,#c9f5a1ff d,#f4f6f5ff e,#e6fad3ff f,#b6f27eff g,#d9f7bdff ``` ```image bd bb bbb bbb dbbb bbdbd bb bd bb bb bb bb dbd bb bb bb bb bb bb dbd bb bd dbd bb bb bb bb bb bb bb c bb bb daaac dbd dbd eaaaaac bb bd eaaaaac bb bb gaaaaag bbd bb gaaaaagbb bb gaaaaag bb caaaaag db bb caaaaae dbd dbd caaaaae bd bb caaaaag dbb caaaafe bb bfaaaac bb bb dfaaaf dbd db caaaf bb dbd gaaaf dbb bd eaaaad bb bb eaaaad dbd bb bb daaaae bb dbd bb daaaae bb bb bb aaaag dbd bb db faaag bb bb dbd faaac bb bb bd caaac bb dbd bb caaaf dbd bb bb caaaf bb bb bb gaaaf bb bb bb eaaaad dbd bb db eaaaad bb dbd dbd daaaae bb bb bd daaaae bb bb bb aaaag bbb bb faaag bbb bb faaac bbd bb caaf db db c dbd bd bb bb bb bb db dbd bd bb bb bb bb db dbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbd d ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#cac36bff b,#867ee5ff c,#efe5c5ff d,#4b2ef2ff e,#cfaa22ff f,#b1d7b1ff g,#97ca95ff ``` ```image c e ca e e fggggggggggggggaaggggg gffffffffffffffeffffff gffffffffffffffeffffff gfffffffffffffeafdffff gfffffffffffffeffdffff gffffffffffffgefbbffff gffffffffffffegfdfffff gffffffffffffeffdfffff gfffffffffffaefbbfffff gfffffffffffeffdffffff gfffffffffffeffdffffff gffffffffffaafbbffffff e gffffffffffeffdfffffff ec gffffffffffeffdfffffff ac gfffffffffeafbbfffffff ca gfffffffffeffdffffffff ce gffffffffgeffdffffffff e gffffffffegfbbffffffff e gffffffffeffdfffffffff e gfffffffaeffdfffffffff e gfffffffeffbbfffffffff e gfffffffeffdffffffffff ac gffffffaaffdffffffffff ca gffffffeffbbffffffffff ce gffffffeffdfffffffffff e gfffffeaffdfffffffffff e eeeac gfffffeffbbfffffffffff e ce caeeeeeac gffffgeffdffffffffffff e e caeeeeeac gffffegffdffffffffffff e ce caeeeeeac gffffeffbbffffffffffff ac e caeeeeeaaeffdfffffffffffff aa ce gffaefffdfffffffffffff ce e gffffffbbfffffffffffff e ce gffffffdffffffffffffff e e gffffffdffffffffffffff e ce gfffffbbffffffffffffff e e gfffffdfffffffffffffff e ce gfffffdfffffffffffffff ac e gffffbbfffffffffffffff aa ce gffffdffffffffffffffff ca ec gffffdffffffffffffffff e ce gfffbbffffffffffffffff e ec gfffdfffffffffffffffff e e d e ec bb e e d gggggggegggggggggggggggggggggggegggggf d fffffffaaffffffffffffffffffffffefffffg bb fffffffaefffffffffffffffffffffeafffffg d ffffffffefffffffffffffffffffffeffffffg d ffffffffeffffffffffffffffffffeaffffffg bb ffffffffeffffffffffffffffffffefffffffg d ffffffffefffffffffffffffffffeafffffffg d ffffffffefffffffffffffffffffeffffffffg bb ffffffffeffffffffffffffffffeaffffffffg d ffffffffaafffffffffffffffffefffffffffg d ffffffffaaffffffffffffffffeafffffffffg bb fffddddddebbffffffffffffffeffffffffffg d fffffffffebbddddddddbbbffeaffffffffffg d fffffffffeffffffffffbbdddedddddbbffffg bb fffffffffeffffffffffffffeafffffbbddddddddbbb d fffffffffeffffffffffffffeffffffffffffg cbbddddddddbb d fffffffffefffffffffffffeaffffffffffffg bd bb fffffffffaaffffffffffffefffffffffffffg d d fffffffffaafffffffffffeafffffffffffffg d d ffffffffffeffffffffffeeffffffffffffffg bd bb ffffffffffeffffffffaeafffffffffffffffg d d ffffffffffefffffffeefffffffffffffffffg bb d ffffffffffefffffaeaffffffffffffffffffg d bb ffffffffffeffffeeffffffffffffffffffffg dc d ffffffffffeffeeffffffffffffffffffffffg d d ggggggggggeaeegggggggggggggggggggggggf d bb ce fdd dd bb ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#dabc4eff b,#8975f3ff c,#f2e7c2ff d,#4c2ff3ff e,#d0a91dff f,#c4bbf9ff g,#e7d48eff ``` ```image ee gea aec eec aec gea geg eec geg gea cea eec cea gea ee eec ee gea aec eec aec gea geg eec geg gea cea eec cea gea ee eec ee gea aec aeg aec gee geg aeg geg cee cea aeg dbbbbfff cea cee fdddddddddddeebbffff aeg ffffbbbddddeedddddddddbbbbfff cee eefbbbbdddddddddddddddbbbbfff aeg aec fffbbbdddddddddddddddbeebffff aeg ffffbbbddddeebddddddddbbbbfff geg ceefbbbbdddddddddddddddbb gea aeg fffbbbddddddd cea cee fff cee aeg ee cee eec aeg aec cee aeg aeg geg cee gea aeg cea gee cee ceeeg ee aeeac eec geeeg aec caeeac aeg geeeg geg caeea geg geeec cea ceeeg cea aeeac ee ceeeg ee caeeac ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area A! Okay, on to the next area of interest. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#e1c86eff b,#7761f6ff c,#f0e3b7ff d,#492bf4ff e,#d1aa1fff f,#b4a8faff g,#eeebf7ff ``` ```image cee aea eec cee aea eeg cea aec gbf gee fdb aea bdf eec gddg cee fdb aea bdf eec gddg cee fdb aea bdf eeg gddg cea fdb aec bdf gee gddg aea fdb eec bdf cee gddg aea fdb eec bdf cee gddg aea fdb eeg bdf cea gddg aec fdb gee bdf aea gddg eec fdb cee bdf aea gddg eec fdb cee bdf aea gddg eeg fdb cea bdf aec gddg gee fdb aea bdf eec gddg cee fdb aea bdf eec gddg cee fdb aea bdf eeg gddg cea fdb aec bdf gee gddg aea fdb eec bdf cee gddg aea fdb eec bdf cee gddg aea fdb aacc eeg bdf eeeeeeaacaea gddg caaeeeeeeeec fdb ccaaea bdf gdd fdb bdf gdd fdb bdf gdd fdb bdf gdd fdb bdf gdd fdb bdf gdd fdb bdf gdd fdb bdf ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area B. Answer: A: 2; B: 0; 2 + 0 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d9bb4cff b,#836ef7ff c,#f4ebcdff d,#4a2cf3ff e,#d0a91dff f,#ac9ff9ff g,#e7d48eff ``` ```image g e ga e e gg e e ag b e d ce fb ec d e d ga fb e d e d gg fb e e d ec e d ag ag fb ga e d ce ce d e ec fb e e d e ga d e e fb ec e d ag gg d gg e fb ca e d e ag d e eeagc e fb e ga cgeeeeagc ce d e e cgaeeeagc ec d e ce cgaeeeagc e fb ac e cgaeeeegga d gg ce cga d ca e fb e ce d e e d e ce fb e e d e ce d ac ec fb gg ce d ca ec d e ce fb e ec d e ce d e ec fb e e d ac ec d gg e fb ca ec d e e d e ec fb e e d e ec d e e fb ac ag d gg e d ga ag fb ddddddeff e d efbddddddddbff ag d e ffbddeddddbbff fb e ag ffbbdddddddbff d e e ffbddddddddbf d ec ag fd fb ag e d d ga ag d d ce ee fb fb e geg d d e ee bf d e gec d fb e ea df d ec aec d d agea d fb ge fdd dd bb ``` <!-- end of image -->
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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,#f9244bff b,#e1a919ff c,#e88f98ff d,#fad2c9ff e,#b0d6afff f,#f2576fff g,#dfc66cff ``` ```image d dbbbbb dgbbbbbbbb ffa gbbbbbbbbbbbbd eeaaaeeeeeeeeeee gbbbbbbbbbbbd dbbb eeaaaeeeeeeeeeee gbbbbbbbbbbbd bbb eeaaaeeeeeeeeeee dbbbbbbbbbbbg bbb eefaaeeeeeeeeeee dbbbbbbbbbbbg gbbg eefaaceeeeeeeeee dgbbbbbbbbbbgd bbb eefaaceeeeeeeeee gbbbbbbbbbbgd bbb eecaaceeeeeeeeee gbbbbbbbbbbbd bbbd eecaafeeeeeeeeee gbbbbbbbbbbbd dbbb eecaafeeeeeeeeee dbbbbbbbbbbbg bbb eeeaafeeeeeeeegbbbbbbbbbbbg bbb aaa eeeaaaeeeeebbbbbbbbbbbgd gbbg aaa eeeaaaegbbbbbbbbbbgd bbb aaa eeeaaabbbbbbbbbg bbb aaa eebaaabbbbbgeeee gbbg aaa eebaaabgeeeeeeee dbbb daaf eegaaaeeeeeeeeee bbb caac eeeaaaeeeeeeeeee daf bbbd faad eeeaaaeeeeeeeeee aaad dbbb aaa eeeaaaeeeeeeeeee aaaaa bbb aaa eeeaaaeeeeeeeeee caaaaaf bbb aaa eeeaaaeeeeeeeeee aaacaaa gbbg aaa eeeaaaeeeeeeeeee aaaa faaa bbb aaa eeeaaaeeeeeeeeee faaa aaac bbb aaa eeefaaeeeeeeeeee daaad daaa bbbd daaf eeefaaceeeeeeeee aaaf aaaa dbbb caac eeefaaceeeeeeeee aaaa aaad bbb faad eeecaaceeeeeeeee caaa caaa bbb aaa eeecaafeeeeeeeee aaac aaaf gbbg aaa daaf aaaa aaa eeeeebbbeeeeaaaeeeee daaf faaa faaa eeeeebbbeeeeaaaeeeee aaa daaad aaaceeeeebbbgeeeaaaeeeee aaa aaaf daaaeeeeeebbbeeeaaaeeeee aaa aaaa aaaaeeeeebbbeecaafeeeee aaa caaa aaaceeeebbbeecaaceeeee aaa aaac caaaeeeegbbbefaaceeeee aaa aaaa aaafeeeebbbeaaaeeeeee aaa faaa daaaeeeebbbeaaaeeeeee aaa daaad faaaeeegbbgaaaeeeeee aaa aaaf eaaafeeebbbaaaeeeeee aaa aaaa ecaaaeeebbbaaaeeeeee aaa daaa eeaaaaeebbbaaaeeeeee aaa aaac eeeaaacegbbaafeeeeee faad aaaa eeecaaaeebfaaceeeeee faad caaa eeeeaaafebaaaceeeeee caad daaad eeeeeaaaegaaaeeeeeee caac aaaf eeeeefaaaeaaaeeeeeee caac faaa eeeeeeaaafaaaeeeeeee daaf daaa eeeeeeeaaaaaageeeeee daaf aaac eeeeeeeaaaaaabeeeeee daaf aaaa eeeeeeeeaaaaabeeeeee aaa caaa eeeeeeeecaaaabeeeeee aaa aaad eeeeeeeeeaaabbbeeeee aaa aaaf eeeeeeeeeeaabbbeeeee aaa aaaa eeeeeeeeeeeebbbeeeee aaa aaaa eeeeeeeeeeeebbbgeeee aaa aaaa eeeeeeeeeeeeebbbeeee aaa aaaa eeeeeeeeeeeeebbbeeee aaa aaaa eeeeeeeeeeeeebbbeeee aaa aaaa eeeeeeeeeeeeegbbbeee aaa daaaa eeeeeeeeeeeeeebbbeee aaa daaaa bbb aaa daaaa gbg faad daaaa faad daaaa caad daaaa caac daaaa daac daaaa daaf daaaa daaf daaaa aaa daaaa aaa caaaa aaa caaaa aaacaaaa aaaaaaf aaaaaf aaaaf aaaf caf ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f9244bff b,#e2a818ff c,#fc98a9ff d,#fbd9d5ff e,#f1d794ff f,#fa5c7aff g,#e9c056ff ``` ```image daaaaaf daaaaaf aaaaaa aaaaaa aaaaaa aaaaaa aaaaaad faaaaad faaaaad faaaaad faaaaad faaaaac caaaaac caaaaac caaaaac caaaaac caaaaaf daaaaaf daaaaaf daaaaaf deg daaaaaf degbbbb daaaaaa degbbbbbbbb aaaaaa degbbbbbbbbbbbb aaaaaa egbbbbbbbbbbbbbbbb aaaaaagbbbbbbbbbbbbbbbbbbb aaaaaabbbbbbbbbbbbbbbbbbge ebaaaaaabbbbbbbbbbbbbbged ebaaaaaabbbbbbbbbbged dbaaaaaabbbbbbged baaaaaabbged gaaaaaac eaaaaaac caaaaac caaaaac caaaaac caaaaac caaaaaf daaaaaf daaaaaf daaaaaf daaaaaf aaaaaa aaaaaa aaaaaa aaaaaa aaaaaa faaaaad faaaaad faaaaad faaaaad faaaaac caaaaac caaaaac caaaaac caaaaac ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Okay, on to the next area of interest. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#f9244bff b,#e2a718ff c,#fb92a4ff d,#fbd9d3ff e,#f1d795ff f,#f8556bff g,#e9be56ff ``` ```image ebbbbbg daaaaaf dbbbbbb daaaaaf bbbbbbd caaaaac gbbbbbe caaaaac ebbbbbg caaaaac bbbbbbd faaaaad gbbbbbe faaaaad d ebbbbbg aaaaaa f dbbbbbb aaaaaa ac bbbbbbd daaaaaf aad gbbbbbg daaaaaf aaf ebbbbbb caaaaac aaad bbbbbbd caaaaac aaaf gbbbbbe caaaaac aaaac ebbbbbg faaaaad aaaaad dbbbbbb faaaaad aaaaaf bbbbbbe aaaaaa aaaaaac ebbbbbg aaaaaa aaaaaaad dbbbbbb daaaaaf caaaaaaf bbbbbbddaaaaaf faaaaaad gbbbbbecaaaaac daaaaaaf ebbbbbgcaaaaac caaaaaac bbbbbbfaaaaac faaaaaad gbbbbbfaaaaad daaaaaaf ebbbbbaaaaaad caaaaaac dbbbbbaaaaaa aaaaaaad bbbbbaaaaaa caaaaaaf gbbbbaaaaaf faaaaaad ebbbbaaaaaf daaaaaaa bbbbaaaaac caaaaaac gbbfaaaaac faaaaaad ebbaaaaaac daaaaaaf dbbaaaaaad caaaaaac bbaaaaaad aaaaaaad gbaaaaaa daaaaaaf dbaaaaaa faaaaaad baaaaaf daaaaaaa gaaaaaf caaaaaaccaaaaaf faaaaaafaaaaaf daaaaaaaaaaaabe caaaaaaaaaaabg aaaaaaaaaaabb daaaaaaaaaabbd faaaaaaaaabbe daaaaaaaaabbg caaaaaaaabbbd faaaaaafbbbe daaaaaabbbbg caaaaabbbbb faaafbbbbbd cccgbbbbbg ebbbbbb bbbbbbd gbbbbbe ebbbbbg dbbbbbb gbbbbbe ebbbbbg dbbbbbb bbbbbbd gbbbbbe ebbbbbg bbbbbb gbbbbbe ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f9244bff b,#e2a918ff c,#fc92a6ff d,#fcd4d2ff e,#f1d898ff f,#fa5876ff g,#e9c055ff ``` ```image d egbbbb dgbbbbbbbb ffa dgbbbbbbbbbbbbd aaa ebbbbbbbbbbge ebbg aaa ebbbbbbbbbbbe bbb aaa ebbbbbbbbbbbe bbb faad dgbbbbbbbbbbg gbbg faad dgbbbbbbbbbbgd bbb caac gbbbbbbbbbbgd bbb caac ebbbbbbbbbbbe gbbe caac ebbbbbbbbbbbe dbbb daaf ebbbbbbbbbbbe bbb daaf dgbbbbbbbbbbg bbb aaa daaf dgbbbbbbbbbbgd ebbg aaa aaa gbbbbbbbbbbgd bbb aaa aaabbbbbbbbbe bbb aaa baaabbbbbe gbbe aaa baaabe dbbb daaf eaaa bbb caac aaa daf bbbd faad aaa aaad ebbg aaa aaa aaaaa bbb aaa aaa caaaaaf bbb aaa aaa aaacaaa gbbe aaa aaa aaaa faaa bbb aaa aaa faaa aaac bbb aaa faad daaad daaa bbbe daaf faad aaaf aaaa dbbb caac caac aaaa aaad bbb faad caac caaa caaa bbb aaa caac aaac aaaf ebbg aaa daaf aaaa aaa bbb aaa daaf faaa faaa bbb aaa aaa daaad aaac gbbe aaa aaa aaaf daaa dbbb aaa aaa aaaa aaaa bbb daaf aaa caaa aaad bbbd caac aaa aaac caaa ebbg faad aaa aaaa aaaf bbb aaa aaa faaa aaad bbb aaa aaa daaad faaa gbbeaaa aaa aaaf aaac bbbaaa aaa aaaa daaa bbbaaa aaa caaa aaaa bbbaaa aaa aaac aaad ebbaaf faad aaaa caaa baaac faad faaa aaaf baaad faad daaad aaadgaaa caac aaaf faaa aaa caac faaa aaacaaa daaf daaa daaaaaae daaf aaac aaaaaab daaf aaaa aaaaab aaa caaa caaaabd aaa aaad aaabbg aaa aaaf aabbb aaa aaaa bbb aaa aaaa gbbe aaa aaaa dbbb aaa aaaa bbb aaa aaaa bbbd aaa daaaa ebbg aaa daaaa bbb aaa daaaa bbb aaa daaaa gbe faad daaaa faad daaaa caac daaaa caac daaaa caac daaaa daaf daaaa daaf daaaa aaa caaaa aaa caaaa aaa caaaa aaacaaaa aaaaaaa aaaaaf aaaaf aaaf caf ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? 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,#9d6ce4ff b,#3667c3ff c,#b8afe5ff d,#a0cda3ff e,#6f93caff f,#eceff2ff g,#b1d7b2ff ``` ```image f a aaf faac acca fa fa af a ca a af a ca af af ac ca cc a fa aa a a a ac a a af ac af fa cc ac ca e aa fa fa ebf aaaa af a cbc aa caf ca a fbe aa fac af a bb aa aa ca af bb ca aa af ac ebf ca caf ca ffffffffcafffffff cbc fffffffffffffffffffffff ca faca fdddddddddaddddddd fbe ddddddddddddddddddddddddfaf aa fdggggggggaggggggg bb dggggggggggggggggggggggdaf fdggggggggaggggggg bb dggggggggggggggggggggggaf fdggggggggaggggggg ebfdgggggggggggggggggggggacf fdggggggggaggggggg cbeggggggggggggggggggggacdf fdggggggggacgggggg fbbggggggggggggggggggaagdf fdggggggggaagggggg dbbggggggggggggggggaaggdf fdggggggggcagggggg dgbbggggggggggggggaagggdf fdgggggggggagggggg dggebdgggggggggggaaggggdf fdgggggggggagggggg dgggdbegggggggggaagggggdf fdgggggggggagggggg dgggggbbgggggggaaggggggdf fdgggggggggagggggg dggggggbbgggggaagggggggdf fdgggggggggagggggg dgggggggbbgggcaggggggggdf fdgggggggggacggggg dggggggggebdcagggggggggdf fdgggggggggcabgggg dgggggggggdbbggggggggggdf fdggggggggggabgggg dggggggggggabbgggggggggdf fdggggggggggebgggg dgggggggggacgbbggggggggdf fdggggggggggbegggg dggggggggacgggbbgggggggdf fdggggggggggbggggg dgggggggacgggggebdgggggdf fdggggggggggbggggg dggggggaagggggggdbeggggdf fdgggggggggdbcgggg dgggggaaggggggggggbbgggdf fdgggggggggebagggg dggggaaggggggggggggbbggdf fdgggggggggbeagggg dgggaaggggggggggggggbbgdf fdgggggggggbgagggg dggaaggggggggggggggggebdf fdgggggggggbgagggg dgaaggggggggggggggggggdbe fdggggggggebgagggg dcaggggggggggggggggggggdbb fdggggggggbegagggg eagggggggggggggggggggggdfbb fdggggggggbggggggg faggggggggggggggggggggggdf ebf fdggggggggbggggggg fadggggggggggggggggggggggdf cbc fdgggggggdbggggggg fafdggggggggggggggggggggggdf fbe fdgggggggeeggggggg af dddddddddddddddddddddddd bb fdgggggggbdggggggg ac bb fdgggggggbgggggggg ac ebf fddddddddbdddddddd ac cbc fffffffcbffffffff aa fbe bc aa bb b aa bb b aa ebf cb ca cbc ee ca fbe bf ca bb b faf bb fb faf ebf cb af cbc bc fbe b bb b bb cb ebf ee cbc bf fbe b bbb bb ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c67e6ff b,#3465c4ff c,#c3b8eeff d,#b289ebff e,#6387d1ff f,#e0dff6ff g,#91abdeff ``` ```image f d da daa daac g daac bg caac bbef caad gbbbf caad cbbbc faad fbbbg faad febbe faad ebbef faaaf gbbbf faaaf cbbbc aaaf fbbbg daaf febbe daaf ebbef daac gbbbf daac cbbbc daac fbbbg caad febbe caad ebbef caad gbbbf faad cbbbgaad fbbbea fbbbe faabbbef daafgbbbf daaf cbbbc daaf fbbbg daac febbe daac ebbef caac gbbbf caad cbbbc caad fbbbg caad febbe faad ebbef faad gbbbf faaaf cbbbc faaaf fbbbg faaaf febbe daaf ebbef daaf gbbb daac cbb daac fb daac f caac caad caad aad ad d f ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Alright, let's concentrate on the next area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c68e6ff b,#3264c3ff c,#c8c2efff d,#b794ecff e,#607fd1ff f,#e6dff8ff g,#8ea8deff ``` ```image caa faa faaf aaf aac dad dad caa caa faa faaf aac aac dad dad caa faa faaf aaf aac dad dad caa caa faaf aaf aac dac f dadcbe dadgbe caaebg faabbc faabbf aebb aebe dbbg dbbc gbb ebb ebef bbef cbbac gbbac ebead bbead fbbdaa cbbcaa gbefaaf ebg aac bbc aac cbbf dad gbb dad ebe caa bbg fdd fbbc cbb gbe ebg bbc cbbf gbb ebe bbg fbbc cbb gbe ebg bbc ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9d6ae6ff b,#3264c3ff c,#d1caf2ff d,#bc99eeff e,#5c81cfff f,#e8e3f8ff g,#94aedfff ``` ```image c a aac fadd acca fa fa ac a ca a af a da af af ac da dd a ca da a a a ad a a a ad ac fa dd ac ca e aa fa fa gbf aaaa ac a cbg aa daf ca a fbe aa fad af a bb da aa da af eb da aa a ac gbf da daf da dd cbg ca fada ca fbe faf aa a bb faf a eb faf a gbf ac af cbg ad ac be ad dd bb ad ca eb aa fa gbf aa a cbg aa a be da a bb da af eb ca adf gbcca ddb cbef cab fabe eb ac bb bg ac eb b ad gbc bf ad cbg cbc aa be eed aa bb bga aa eb bfa aa gbc b a da cbg gb a da be bg d ca bb b ca eb b faf gbc cb faf fbg ee ac be bc ac bb b ad eb b ad gbc gb aa fbg bg aa be b aa bb b da ebf cb da gbc ee da fbg bc ca be b fa bb b faf ebf gb af gbc bg fbg b be b bb cb ebf ee gbc bc fbe b bbb be ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. 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,#89513aff b,#befa15ff c,#b2d7b1ff d,#c0ee66ff e,#a78a77ff f,#741709ff g,#97c795ff ``` ```image e f f cce f eeffffffffffffff f ceaffffffaec ae f ceaffffffaec ea cf ceaffffffaec cf cf ffffffaee f ea c f ee f ae f fc f f ae f cggggggaagggggggggggggggggggggggggggggfggggg gccccccefcccccccccccccccccccccccccccccfccccc gccccccgfcccccccccccccccccccccccccccccfccccc gcccccccfcccccccccccccccccccccccccccccfccccc gcccccccfcccccccccccccccccccccccccccccfccccc gcccccccfcccccccccccccccccccccccccccccfccccc gcccccccfgcccccccccccccccccccccccccccgfccccc gcccccccfecccccccccccccccccccccccccccefccccc gcccccccaaccccccccccccccccccccccbdcccaaccccc gcccccccefccccccccccccccccccccccbbcccaaccccc gcccccccgfcccccccccccccccccccccbdbcccaeccccc gccccccccfcccccccccccccccccccccbcbcccfeccccc gccccccccfccccccccccccccccccccbdcbcccfgccccc gccccccccfccccccccccccccccccccbccbdccfcccccc gccccccccfcccccccccccccccccccbdccdbccfcccccc gccccccccfecccccccccccccccccdbccccbccfcccccc gccccccccaacccccccccccccccccbcccccbccfcccccc gcccccccceaccccccccccccccccdbcccccbccfcccccc gccccccccgfccccccccccccccccbccccccbccfcccccc gcccccccccfcccccccccccccccdbccccccbdgfcccccc gcccccccccfcccccccccccccccbcccccccdbefcccccc bd gcccccccccfccccccccccccccbdccccccccbeacccccc bd gcccccccccfccccccccccccccbcccccccccbaacccccc bb gcccccccccfeccccccccccccbdcccccccccbaecccccc bb gcccccccccaaccccccccccccbccccccccccbaecccccc db gccccccccceacccccccccccbdccccccccccbagcccccc db gcccccccccgfccccccccccdbcccccccccccdbccccccc cb gccccccccccfccccccccccbcccccccccccccbccccccc bc gccccccccccfcccccccccdbcccccccccccccbccccccc bd gccccccccccfccccccccdbccccccccccccccbccccccc bb gccccccccccfccccccbbbdccccccccccccccbccccccc bb gccccccccccfeccdbbdcccccccccccccccccbdcccccc db gccccccccccabbbdccccccccccccccccccccabcccccc db gccccccccdbbbccccccccccccccccccccccgfbcccccc cb gccccccbbbdgfccccccccccccccccccccccefbcccccc bc gcccbbbdccccfcccccccccccccccccccccceabcccccc bd gdbbdcccccccfccccccccccccccccccccccaabcccccc bb dbbbccccccccccfccccccccccccccccccccccaeddccccc bb cbbb gcccccccccccfccccccccccccccccccccccfedbccccc bb bbbc gcccccccccccfgcccccccccccccccccccccfgcbccccc db dbbd gcccccccccccaecccccccccccccccccccccfccbccccc cb dbbd gccccccccccceacccccccccccccccccccccfccbccccc bbbb gcccccccccccefcccccccccccccccccccccfccbdcccc gccccccccccccfcccccccccccccccccccccfccddcccc gccccccccccccfcccccccccccccccccccccfccdbcccc gccccccccccccfcccccccccccccccccccccfcccbcccc gccccccccccccfcccccccccccccccccccccfcccbcccc gccccccccccccfgcccccccccccccccccccgfcccbcccc gccccccccccccaecccccccccccccccccccefcccccccc gccccccccccccaaccccccccccccccccccceacccccccc gccccccccccccefcccccccccccccccccccaacccccccc gcccccccccccccfcccccccccccccccccccaecccccccc gcccccccccccccfcccccccccccccccccccfecccccccc gcccccccccccccfcccccccccccccccccccfgcccccccc gcccccccccccccfcccccccccccccccccccfccccccccc gcccccccccccccfgccccccccccccccccccfccccccccc cgggggggggggggfeggggggggggggggggaffggggggggg ea efa cf eff f eff f eff f cff f cff f cff aeffc efc ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#914a39ff b,#c0fb15ff c,#cfafaaff d,#d8fc6fff e,#af7b71ff f,#741608ff g,#ebefcaff ``` ```image efe cfa efa cfa cfa efa cff efe gffg efe ffc afe afc afc afe afc efe ffc efa ffg cfa gffg cff gff gffg cff ffc cff afc cfa afe dg efa efe dbd efa efa gbbb efe cfa bbbb efe cff gbbbbg afe gffg bbdbbg afc ffg dbbgdbd ffc ffc bbd dbd ffc afe dbb gbb ffg efe bbd gbb gffg efa dbb bbg gff cfa gbbg bbg cff cff dbb dbd cff gff gbbg dbd cfa ffg dbd gbb efa ffc gbbg gbb efa afc bbd bbg efe efe gbbg bbd afe efa bbd dbd afe cfa dbb dbd afc cff bbd gbb ffc gff dbb gbb ffc ffg gbbd bbg ffg ffc dbb bbd gffg afc gbbg dbd gff afe dbd dbd cff efa gbbg gbb cfa cfa bbd gbb cfa cff gbbg bbgefa gff bbd bbdefe ffg dbb dbdefe ffc bbd dbbafe afc dbb gbbafc afe bbd bbafc efe dbb bbafc cfa gbbg dbafg cff dbb dbbfg gff gbbg dbbf ffg bbd gbbf ffc gbbg bba afc bbd bba afe dbbg bbe efe bbd bbb efa gdbb ebb cff gdbbbbd ebb gff dbbbbbdg abbg gffg gdbbbbbd abbg ffc gdbbbbbdg abbd afc gdbbbbbdg fabd afbbbbbbdg fabb dbbbbbdg gffbb gdbbbbbdg gffbbg gdbbbbbdfa cffbbg gdbbbbbdg cff cffdbd gdbbbbbdg gffg cfadbd ddbbbbbd ffc efagbb gdbbbbbdg afc efagbb gdbbbbbdg afe efe bbg bbbbbdg efe afe bbg bbdg efa afe dbd d cfa afc dbd cff ffc gbb gffg ffc gbb ffc ffg bbg afc gffg bbd afe gff dbd efe cff dbd efa cfa gbb cfa cfa gbb cff efa bbg gffg efe bbd ffg efe dbd ffc afe dbd afe afc gbb efe afc gbb efa ffc bbg cfa ffg bbd cff ffg dbd gff gff dbb ffg gff gbd ffc cff afc cfa efe cfa efa efa cfa efe cff efe gff afe ffg afc ffc afc afc ffc afe ffg efa gffg cfa gff cff cff gff cff ffg cfa ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8e4434ff b,#c0fb15ff c,#cba8a3ff d,#d8fd6fff e,#ac736bff f,#741608ff g,#ebebccff ``` ```image c f f ggcc f gceafffffffffffafg f gcaffffffaecg ac f ceaffffffaec ee gf gceaffffffacg cf ca ffffffaecg f ea c f ee f ac f fc fg fg ac f ee f ca f gf f f f f f f gf fg gf ac ca ee dd ea ca bb ee gf bdb ac f b b fc f bd b fg f gb bg f f bg dd f fc gb gb f ee bg b f ca db b f gf b b f f db bdgf f b ddcf bd f bd gbca bd f b bee bb fc bd bae bb ee b bac db ca bg dag db gf gb db gbg f bg b gbd f db b bd f gb b bb f bbbg bg bb fc dbbd bd db abbbd ab db gbbbg gfb gbg gbbbggf cfb gbg dbbd f cab bd dbbd f eebg bb dbbd f acdd bb gbbbg f fcgb bb gbbbg fg fg b db dbbd ac f b gbg dbbd ea f b gbbbb cf f bg g f f dd f f gb f f b f f b fg gf b ac ca ee ea cf ee f ac f fc f fg f f fg f ac efa ee efa cf efa f cff f cff f cffg f cffg fg cffg aeffg efg ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#a82775ff b,#36a47eff c,#b49ea3ff d,#71bd98ff e,#eef3eeff f,#aa5d88ff g,#b1d7b1ff ``` ```image eggggggggggggggggggggggggggggggggggggggggggggggggggggg eggggggggggggggggggggggggggggggggggggggggggggggggggggg eggggggggggggggggggggggggggggggggggggggggggggggggggggg egggggggggggggggggggggggggdggggggggggggggggggggggggggg egggggggggggggggggggggggggbdgggggggggggggggggggggggggg eggggggggggggggggggggggggbbbgggggggggggggggggggggggggg eggggggggggggggggggggggggbdbgggggggggggggggggggggggggg egggggggggggggggggggggggbbgbgggggggggggggggggggggggggg egggggggggggggggggggggggbggbgggggggggggggggggggggggggg eggggggggggggggggggggggbbggbdggggggggggggggggggggggggg eggggggggggggggggggggggbgggbdggacggggggggggggggggggggg egggggggggggggggggggggbbgggdbgcaaggggggggggggggggggggg egggggggggggggggggggggbgggggbgafaggggggggggggggggggggg eggggggggggggggggggggbbgggggbfagaggggggggggggggggggggg eggggggggggggggggggggbggggggbacgacgggggggggggggggggggg egggggggggggggggggggbbggggggfaggfagggggggggggggggggggg egggggggggggggggggggbgggggggabggcagggggggggggggggggggg eggggggggggggggggggbbggggggaabgggagggggggggggggggggggg eggggggggggggggggggbgggggggagbgggacggggggggggggggggggg egggggggggggggggggbbggggggafgbgggfaggggggggggggggggggg egggggggggggggggggbggggggcaggbdggcaggggggggggggggggggg eggggggggggggggggbbggggggafggbdgggaggggggggggggggggggg eggggggggggggggggbggggggcagggdbgggacgggggggggggggggggg egggggggggggggggbbggggggacggggbgggffgggggggggggggggggg egggggggggggggggbggggggfagggggbgggcagggggggggggggggggg eggggggggggggggbbggggggacgggggbggggagggggggggggggggggg eggggggggggggggbggggggfaggggggbdgggacggggggggggggggggg egggggggggggggbbggggggagggggggbbgggffggggggggggggggggg egggggggggggggbggggggaagggggggdbgggcaggggggggggggggggg eggggggggggggbbggggggagggggggggbggggaggggggggggggggggg bg eggggggggggggbggggggafgggggggggbggggacgggggggggggggggg gbbbg egggggggggggbbgggggcaggggggggggbdgggffgggggggggggggggg dbbbe egggggggggggbggggggafggggggggggbdgggcagggggggggggggggg edbbde eggggggggggbdgggggcagggggggggggdbggggagggggggggggggggg ebbbd eggggggggggbggggggacggggggggggggbggggacggggggggggggggg gbbbg egggggggggbdgggggfagggggggggggggbggggafggggggggggggggg gbbbe egggggggggbggggggacgggggggggggggbggggcaggggggggggggggg dbbde eggggggggbdgggggfaggggggggggggggbdggggaggggggggggggggg ebbbd eggggggggbggggggagggggggggggggggbbggggacgggggggggggggg gbbbg egggggggbdgggggaagggggggggggggggdbggggafgggggggggggggg gbbbgegggggggbggggggagggggggggggggggggbggggcagggggggggggggg dbbbgggggbdgggggafgggggggggggggggggbgggggagggggggggggggg ebbbbgdbgggggcaggggggggggggggggggbdggggacggggggggggggg egggbbbdgggggafggggggggggggggggggbdggggafggggggggggggg egggggdgggggcagggggggggggggggggggdbggggcaggggggggggggg egggggggggggacggggggggggggggggggggbgggggaggggggggggggg eggggggggggfagggggggggggggggggggggbgggggacgggggggggggg e eggggggggggacgggggggggggggggggggggbgggggafgggggggggggg aaaaafce egggggggggfaggggggggggggggggggggggbdggggcagggggggggggg ecfaaaaaace egggggggggagggggggggggggggggggggggbbgggggagggggggggggg ecfaaaaaafce eggggggggaagggggggggggggggggggggggdbgggggacggggggggggg ecfaaaaafe eggggggggagggggggggggggggggggggggggbgggggafggggggggggg ecaaaafeegggggggafgggggggggggggggggggggggggbgggggcaggggggggggg caaaafcgggcaggggggggggggggggggggggggggbdgggggaggggggggggg ecaaaafafggggggggggggggggggggggggggbdgggggacgggggggggg eggggcfagggggggggggggggggggggggggggdbgggggafgggggggggg egggggggggggggggggggggggggggggggggggbdggggcagggggggggg eggggggggggggggggggggggggggggggggggggbgggggagggggggggg eggggggggggggggggggggggggggggggggggggbbggggagggggggggg egggggggggggggggggggggggggggggggggggggbggggafggggggggg egggggggggggggggggggggggggggggggggggggdbgggcaggggggggg eggggggggggggggggggggggggggggggggggggggbdgggaggggggggg egggggggggggggggggggggggggggggggggggggggbgggaggggggggg egggggggggggggggggggggggggggggggggggggggbbggafgggggggg eggggggggggggggggggggggggggggggggggggggggbggfagggggggg eggggggggggggggggggggggggggggggggggggggggdbggagggggggg egggggggggggggggggggggggggggggggggggggggggbdgagggggggg egggggggggggggggggggggggggggggggggggggggggdbgafggggggg eggggggggggggggggggggggggggggggggggggggggggbbfaggggggg egggggggggggggggggggggggggggggggggggggggggggbgaggggggg egggggggggggggggggggggggggggggggggggggggggggdbaggggggg eggggggggggggggggggggggggggggggggggggggggggggbafgggggg eggggggggggggggggggggggggggggggggggggggggggggdfagggggg egggggggggggggggggggggggggggggggggggggggggggggbagggggg eggggggggggggggggggggggggggggggggggggggggggggggagggggg eggggggggggggggggggggggggggggggggggggggggggggggafggggg eggggggggggggggggggggggggggggggggggggggggggggggfadgggg egggggggggggggggggggggggggggggggggggggggggggggggabgggg egggggggggggggggggggggggggggggggggggggggggggggggabgggg egggggggggggggggggggggggggggggggggggggggggggggggafgggg egggggggggggggggggggggggggggggggggggggggggggggggfagggg eggggggggggggggggggggggggggggggggggggggggggggggggagggg eggggggggggggggggggggggggggggggggggggggggggggggggagggg eggggggggggggggggggggggggggggggggggggggggggggggggggggg eggggggggggggggggggggggggggggggggggggggggggggggggggggg eggggggggggggggggggggggggggggggggggggggggggggggggggggg ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#a72976ff b,#33a37dff c,#d89fc1ff d,#64b79bff e,#e3e0e5ff f,#bd5f98ff g,#9dd3c0ff ``` ```image bb ebb dbb bgbe ebebg ebg dd bb gb bb eb db b ea db b caa bb be aaae gbg bg aaaf db ddcacfa b gaae eac bb aa aa gbg eaf aa bb aab aa bb abb fa bb aabb eac b aa db ff gb aa gbe ca gbg fae bg a bb ae dd a bd ca gb ac bd cac ebg ff gbg aa bg ca bb eaf bb ac gbe eaf bb aa bd fae bb aa eb aa db fa gb cac gb ca gbe ac ebg ac bb ca dd ca ebd eaf db cae bd aa eb af eb eaf b aa db fae b aa dbe a be fa bb ca bg cae ebd cac dd ff ebd aa gbe ca dbe eaf ebe ea bb eaf bd a ebd fae bd ae bd aa bb af eb aa bb cae e db ac db eac bbdg dbe fa gbe aa edbbbdbb fae bg aa ebbbbg aa bd aa e cac gb cae aa gb eac a b fa eaf b ea fae be a aa bg ae fae dd af cac gb fa aa ebg eac aa bg af af bb aa aace ea bb aa aaaafc fa bb fa cfaaaae db eac caa gbg af gbd cae bb af gbg aa gb aa bd fa gbg cae bb af dbe fa gb ea bg a dbe ae bb af bb ff dbeeac bb af bb aa dbaa bfa bdac baf baa eba ae ad fad cab aag aag aa fa cae eac fa cf ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a82875ff b,#34a47eff c,#daa4c5ff d,#64b99bff e,#dfe1e3ff f,#bf6099ff g,#9bd2bfff ``` ```image e bg dbd bgb db b b b db be b bd ac db gb caa b eb afa db bca a b bae ac bb aa fa b ad ea bb aab a b a b ac bb af b ff b ea be ea bd af bd a b ca gb ac bd ac eb ff b ca b ca bd ae be a b fa bg ac bd ae dd ff eb aa gb ca bd a b a bg eb af b ac gbbbe bd ea be ff dbbbe eb af bd ca edbbd bd ca gb a ebbbg eb ac eb ae gbbbg bd ca b ff gbbbe eb ae be ca dbbde bd fa bg a edbbd eb ae dd ae ebbbg bd aa gb af gbbbg eb a b ca gbbbe bg af b a dbbd eb ea be ae ebbbg af bd af e ca gb ca ac eb a ca b ae c ae be af aaaaafce fa bg ca ecfaaaaaafe ae dd a cfaaaaaafce aa gb ae ecfaaaaafe a b af caaaafe af b ca caaaafe ea be a cfaaafaf bd ae cfa gb af bd ca eb a bb ae be af gb ca bg a eb ae bb af be ca db a bg a eb af bdca bea dba bac gaa ba ae aa fag ab ab ac fa ea a ``` <!-- end of image -->
[ "" ]
This image might have some surprises. Let's look for intersections carefully. 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,#8d3635ff b,#cfdf37ff c,#eceac2ff d,#a7786eff e,#98c695ff f,#cfe16fff g,#b1d7b0ff ``` ```image c dd a ga ac a dd a ca ac a dd geeeaeeeeeeeeeeeeeeeeeee egggeagggggggggggggggggg eggggadggggggggggggggggg egggggaggggggggggggggggg egggggdagggggggggggggggg eggggggagggggggggggggggg cc egggggggagggggffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffbc egggggggadgggbffgggggggg b eggggggggagggbgggggggggg b eggggggggdaggbgggggggggg cf egggggggggaebggggggggggg b eggggggggggabggggggggggg b eggggggggggadggggggggggg cb eggggggggggbaggggggggggg b eggggggggggbeagggggggggg fc eggggggggggbgaeggggggggg b egggggggggffggaggggggggg b egggggggggbgggddgggggggg cf egggggggggbggggagggggggg b eggggggggffggggeaggggggg b eggggggggbggggggaegggggg cf eggggggggbgggggggagggggg b egggggggffgggggggddggggg fc egggggggbgggggggggaggggg b egggggggbgggggggggeagggg b geeeeeeffeeeeeeeeeeadeee ff b a eggggggbggggggggggggggge b ed eggggggbggggggggggggggge cf a eggggggfbgggggggggggggge b a egggggggbgggggggggggggge b de egggggggbgggggggggggggge cf a eggggggggbggggggggggggge bc ga eggggggggbggggggggggggge b ac eggggggggffgggggggggggge cb a egggggggggbgggggggggggge fc dd egggggggggbgggggggggggge b a egggggggggffggggggggggge b ca eggggggggggbgeddaaaaaaae fc ac eggeddaaaaaaaddeegggggge b a cgddaaaaaaaddeggggggbgggggggggge b dd cgddaaaaaaddgc egggggggggggbgggggggggge fc aaaaaaaddgc egggggggggggffggggggggge b eggggggggggggbggggggggge b eggggggggggggbggggggggge fc eggggggggggggffgggggggge b egggggggggggggbgggggggge b egggggggggggggbgggggggge fc eggggggggggggggbggggggge b eggggggggggggggbggggggge b eggggggggggggggffgggggge fc egggggggggggggggbgggggge b b b cf cf b b b b cf cf b b fc b b ff b b cf b fc b b ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#8e3534ff b,#d1df39ff c,#dfe97bff d,#a45f59ff e,#efecd1ff f,#bd8b88ff g,#d6b6b6ff ``` ```image gad daf eaae fad aag gaa daf eaae fad dag gaa faf eaae ecccccccccccbbbbbbbb gad cbbbbbbbbbbbbbbbbbbb dag bbeeeeeeeeeee eaae ebc faf cbe aag bb gad ebc daf cbc eaae bbe fadebb aafbc gaabe dad caae cdad bbdag ebcgaa cbe daf bb eaae ebc fad cbe dag bb gaae ebc faf cbe eaag bb gad ebc daf cbc eaae bbe fad ebb aag cbc gad bbe daf ebb eaae cbc fad bbe aag ebb gaa cbc daf cbe eaae ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Okay, let's direct our attention to the next zone. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#8d3433ff b,#d1df39ff c,#e0e97eff d,#a76262ff e,#eeedc7ff f,#bd8989ff g,#d7b8b8ff ``` ```image ebb bbe ebc bb cbe ebc bb cbc ebb bbe cbc bb cbe ebc bb cbc ebb bbe cbc bb cbe ebc bb eeggffddaaf cbe egggffddaaaaaaaaaaaaf eggffddaaaaaaaaaaaaaddffggge eggffddaaaaaaaaaaaaaddffggee fddaaaaaaaaaaaaaddffggecbc aaaaadddffgge ebb gge cbe ebc bb cbe ebc bbe cbc ebb bbe ebc bb cbe ebc bb cbc ebb bbe cbc bb cbe ebc ``` <!-- end of image --> I observe 1 intersection inside area B. Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8e3636ff b,#d0df36ff c,#e7ee99ff d,#af726fff e,#f0ecd5ff f,#dae561ff g,#d1adadff ``` ```image e dg a ga ae a dd a ea ae a dd a ea ag a gd ae eee ea ecffffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffbc dg bceeeee b a b b ga ef cc aebe b ab be dd ef fa b bga fe b ae b fc a b b dd cc b a b cc ea b b ag ef b a b cc dd fe b a b b ea b cf ag cc b a b b gd b ef ae ef be ea b b dg fe ef a eb be ga b b ae cc ef a b fe dd b b a cf eb ga b egdaaaaaaa fe ae eggdaaaaaaadgge b a egddaaaaaaadgg eb b dd egddaaaaaaddge b fe aaaaaaaddge fc b b b b fc cf b b b be cc ef b b b fc cc b b b b cc cc b b b b ef cc b b fe b b cc b b ef b fe b b ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#baad81ff b,#92aea2ff c,#d4d7c9ff d,#b0d6b0ff e,#c3c19dff f,#eff3edff g,#97c997ff ``` ```image f aaa eaaa faaaac aaaaaa aaaaaaa eaaa eaac faaaf faaa aaac aaa aaaa eaaf eaaa faaa faaaf aaa aaac aaaf cbd aaaa faae bbb eaaa aaa bbb faaaf aaaf dbbc aaac caae bbb aaaa aaa bbb eaaa aaa dbbc faaaf caae bbb aaac aaa fbbb aaaa aaa dbbc eaaa caac bbb faaaf aaa fbbb aaac aaa bbbf aaaa dgggggaaaagggggbbbggggggf eaaa gddddddaaadddddbbbddddddf faaaf gddddddaaaddddbbbdddddddf aaac gddddddeaaedddbbbdddddddf aaaa gdddddddaaadddbbbdddddddf eaaa gdddddddaaaddbbbddddddddf faaaf gdddddddaaaedbbbddddddddf aaac gddddddddaaadbbbddddddddf aaaa gddddddddaaabbbdddddddddf eaaa gddddddddaaabbbdddddddddf faaaf gdddddddddaaabbdddddddddf aaac gdddddddddaaabddddddddddf aaaa gdddddddddaaabddddddddddf eaaa gdddddddddgaaaddddddddddf faaaf gdddddddddbaaaddddddddddf aaac gdddddddddbaaaddddddddddf aaaa gddddddddbbaaaedddddddddf eaaa gddddddddbbbaaadddddddddf faaaf gddddddddbbbaaadddddddddf aaac gdddddddbbbgaaadddddddddf dgggggggggggggggggggaaaaf gdddddddbbbdeaaeddddddddf gddddddddddddddddddaaaadf gdddddddbbbddaaaddddddddf gbbbdddddddddddddddaaaddf gddddddbbbdddaaaddddddddf dbbbbbdddddddddddddaaaeddf gddddddbbbdddaaaddddddddf bbbbbbbdddddddddddaaaadddf gddddddbbbdddeaaedddddddf bbbdbbbddddddddddaaaaddddf gdddddbbbdddddaaadddddddf cbbgdgbbbdddddddddaaadddddf gdddddbbbdddddaaaddddddgf bbbdddbbbbdddddddaaaedddddf ffffffbbbfffffeaacffffff bbbddddbbbddddddaaaaddddddf bbbf faae cbbbddddbbbbddddaaaadddddddf bbb aaa bbbgdddddbbbddddaaaddddddddf fbbb aaa bbbgddddddbbbddaaaeddddddddf bbbf caac fbbdgddddddbbbbaaaadddddddddf bbb aaa bbbfgdddddddbbaaaabbbdddddddf cbbd aaa bbb gddddddddgaaabbbbbbbddddf bbbf aaaf fbbb gddddddddaaaebbbbbbbbbbbf bbb caae dbbc gdddddddaaaaddddgbbbbbbbbbbc cbbd aaa bbb gddddddaaaadddddddddbbbbbbbbbbdf bbb aaa bbb gddddddaaadddddddddddddgbbbbbbbbbbc bbb eaaf cbbc gdddddaaaeddddddddddddddf fdbbbbbbbbbdf cbbd faae bbb gddddaaaadddddddddddddddf cbbbbbbbbbbc bbb aaa dbb gdddaaaaddddddddddddddddf cbbbbbbbbbbf bbb aaa gdddaaadddddddddddddddddf fbbbbbbbbbbc cbbc caac gddaaaedddddddddddddddddf cbbbbbbbbbbc bbb aaa gdaaaaddddddddddddddddddf fdbbbbbbbbbbb aaa gaaaadddddddddddddddddddf cbbbbbbbc aaa gaaadddddddddddddddddddgf fdbbb cc aaacffffffffffffffffffff aaaa eaaa faaaf aaac aaaa eaaa faaaf aaac caa ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bbad81ff b,#92aea2ff c,#d5d6c5ff d,#b2c5bcff e,#cbc1a0ff f,#f5f5f2ff g,#e6e7dfff ``` ```image gaaaaaa faaaaaaa eaaaaaac ff caaaaaae gcddbbbbg gaaaaaaaf bbbbbbbbbf faaaaaaag bbbbbbbbbd eaaaaaac bbbbbbbbbbg caaaaaae bbbbbbbbbbb gaaaaaaaf bbbbbbbbbbbc faaaaaaag bbbg dbbbbbbf eaaaaaac bbd fbbbbbbd caaaaaae bbc cbbbbbbg gaaaaaaaf bbf dbbbbbbf faaaaaaag bb gbbbbbbd eaaaaaac bd dbbbbbbg caaaaaae bg fbbbbbbb gaaaaaaaf b gbbbbbbc faaaaaaag d dbbbbbbf eaaaaaac g fbbbbbbd caaaaaae f cbbbbbbg gaaaaaaaf dbbbbbbf faaaaaaag gbbbbbbd eaaaaaac dbbbbbbbdeaaaaaae fbbbbbbbbaaaaaaaf gbbbbbbaaaaaaadcf dbbbbaaaaaaaabbbbdg fdbbbaaaaaaabbbbbbbbdcf gdaaaaaaabbbbbbbbbbbbbdgf faaaaaaabbbbbbbbbbbbbbbbbdcg eaaaaaaecdbbbbbbbbbbbbbbbbbbb caaaaaae fgdbbbbbbbbbbbbbbbb gaaaaaaaf fcdbbbbbbbbbbbb faaaaaaag gdbbbbbbbbb eaaaaaac fcdbbbbb caaaaaae gcdb gaaaaaaaf f faaaaaaag eaaaaaac caaaaaae gaaaaaaaf faaaaaaag eaaaaaac caaaaaae gaaaaaaaf faaaaaaag eaaaaaac caaaaaae gaaaaaaaf faaaaaaag eaaaaaac caaaaaae gaaaaaaaf ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Okay, let's proceed to the next area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#baad81ff b,#92aea2ff c,#dad4beff d,#b2c5bdff e,#cac09fff f,#f1f2edff g,#dbe0d8ff ``` ```image aaaaaaf fbbbbbb caaaaac dbbbbbd faaaaae bbbbbbf aaaaaaf gbbbbbb caaaaac dbbbbbd gaaaaae bbbbbbf aaaaaaf gbbbbbb eaaaaac dbbbbbc gaaaaae bbbbbbf aaaaaaf gbbbbbd eaaaaac dbbbbbg gaaaaae bbbbbbf aaaaaaf gbbbbbd eaaaaag dbbbbbg gaaaaae fbbbbbbf faaaaaa gbbbbbd eaaaaagdbbbbbg caaaaaebbbbbbf faaaaaabbbbbd eaaaaabbbbbg caaaaaabbbb faaaaaabbbd eaaaaabbbg caaaaaabb faaaaaabd aaaaaabg eaaaaab daaaaae baaaaaa fbaaaaaaf dbaaaaaac bbbaaaaae gbbbaaaaaa dbbbaaaaaag bbbbbaaaaac gbbbbbaaaaae dbbbbbaaaaaaf bbbbbbeaaaaag gbbbbbdgaaaaae dbbbbbgfaaaaaa bbbbbbf eaaaaaf gbbbbbd caaaaac dbbbbbg gaaaaae fbbbbbbf aaaaaa gbbbbbd eaaaaag dbbbbbg caaaaac fbbbbbbf faaaaae gbbbbbd aaaaaaf dbbbbbg eaaaaag fbbbbbb gaaaaae gbbbbbd faaaaaa dbbbbbg eaaaaaf fbbbbbb caaaaac ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#bbad81ff b,#92aea2ff c,#d5d5c3ff d,#b3c6bdff e,#ccc2a1ff f,#f4f4f0ff g,#e5e6deff ``` ```image f aaa eaaa gaaaac aaaaaa aaaaaaa eaaa eaag gaaaf faaa aaac aaa aaaa eaag eaaa faaa gaaaf aaa aaac aaaf dbd aaaa gaae bbb eaaa aaa bbb gaaaf aaaf dbbc aaac gaae bbb aaaa aaa fbbb eaaa aaaf dbbc gaaaf caae bbb aaac aaa fbbb aaaa aaa dbbg eaaa caac bbb gaaaf aaa fbbb aaac aaa bbbg aaaa caac bbb eaaa aaa gbbb gaaaf aaa bbbf aaac eaac bbb aaaa aaa gbbd eaaa aaa bbbf gaaaf eaag bbb aaac faaagbbd aaaa aaabbbf eaaa eaabbb gaaaf faaabd aaac aaab aaaa aaab eaaa daaa gaaaf baaa aaac baaa aaaa dbaaag eaaa bbbaae gaaaf bbbaaa aaac dbbcaaa aaaa bbb caac eaaa fbbb aaa gdbbg gaaaf dbbg aaa dbbbbb aaac bbb aaaf bbbbbbb aaaa fbbb gaae bbb bbbf eaaa dbbg aaa dbbc cbbb gaaaf bbb aaa bbb bbbd aaac gbbb eaag bbb fbbb aaaa bbbg faae cbbd dbbb eaaa bbb aaa bbbf bbbg gaaaf gbbb aaa bbb gbbb aaac bbbf caac gbbd bbbbaaaa bbb aaa bbbf bbaaaabbd gbbd aaa bbb daaabbbbbbbg bbbf aaaf fbbb aaaedbbbbbbbbbdf bbb caae dbbg aaaa cbbbbbbbbbbg cbbd aaa bbb eaaa fdbbbbbbbbbdf bbbf aaa bbb gaaaf gbbbbbbbbbbc bbb eaag dbbc aaac fdbbbbbbbbbdg cbbd gaae bbb aaaa gbbbbbbbbbbc bbb aaa dbb eaaa dbbbbbbbbbdg bbb aaa gaaaf gdbbbbbbbbbd cbbd caac aaac cbbbbbbbbbbg bbb faaa aaaa gdbbbbbbbbbbb aaa eaaa cbbbbbbbc aaaf gaaaf fdbbb gg aaac aaaa eaaa gaaaf aaac aaaa eaaa gaaaf aaac gaa ``` <!-- end of image -->
[ "" ]
I'm on the case! Let's uncover any intersections hidden in this image. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#62d253ff b,#8f369dff c,#b1d7b1ff d,#31d11bff e,#ac81b4ff f,#edf3ecff g,#95cd94ff ``` ```image df a gdf dd da gdf dd dd fdc cdf dd dd adf fdc da dd dd fdc cdc dd dd fdg adf fddfffffffffffffffffff da gccdaccccccccccccccccccg dd gccadccccccccccccccccccg fffffffffffffffffffcdcf gcccdacccccccccccccccccg gcccccccccccccccccccddcgf gcccadcccccccccccccccccg gccccccccccccccccccadcccf gccccddccccccccccccccccg gccccccccccccccccccdacccf gccccadccccccccccccccccg gcccccccccccccccccddccccf gcccccddcccccccccccccccg gccccccccccccccccgdgccccf gcccccadgccccccccccccccg gccccccccccccccccddcccccf gccccccddcccceeccccccccg gcccccccccccccccadccccccf gccccccgdgcccbbbbbbecccg gcccccccccccccccdaccccccf gcccccccddccebccebbbbbbbef gccccccccccccccddcccccccf gcccccccgdgcbbcccccccebbbbbbbef gcccccccccccccadgcccccccf gccccccccddcbecccccccccg cebbbbbbec gcccccccccccccddccccccccf gcccccccccdabccccccccccg febbbbbbbef gccccccccccccddcccccccccf gcccccccccdbbccccccccccg febbbbbbbefgccccccccccccdacccccccccf gccccccccccbbccccccccccg cebbbbbbbecccccccddccccccccccf gccccccccccbaccccccccccg gebbbbbbbecgdgccccccccccf gccccccccccbdacccccccccg gcccccebbbbbbbecccccccccf gcccccccccebadcccccccccg gccccccccccabbbbbbbeecccf gcccccccccbbcddccccccccg gcccccccccadcccceebbbbbbbef gcccccccccbecadccccccccg gcccccccccddccccccccccebbbbbbbf gcccccccccbcccddcccccccg gccccccccgdgccccccccccccf febbf gccccccccebcccadcccccccg gccccccccddcccccccccccccf gccccccccbbccccddccccccg gccccccccdacccccccccccccf gccccccccbeccccgdgcccccg gcccccccadccccccccccccccf gccccccccbccccccddcccccg gcccccccddccccccccccccccf gcccccccebccccccgdgccccg gccccccgdgccccccccccccccf gcccccccbbcccccccddccccg gccccccddcccccccccccccccf gcccccccbeccccccccdacccg gcccccgdgcccccccccccccccf gcccccccbcccccccccadcccg gcccccddccccccccccccccccf gccccccebccccccccccddccg gccccgdgccccccccccccccccf gccccccbbccccccccccadccg gccccddcccccccccccccccccf cggggggbegggggggggggddgc gcccgdgcccccccccccccccccf fb cdf gcccddcccccccccccccccccgf eb dd ffcdfffffffffffffffffff bb fdg dd be dd cdf fb da dd eb ad cdf bb dd dd bf gdf cdf eb dd dd bb cdc cdf be dd dd cb fdg cdf bb ad dd be da cdf fb ad dd bb dd cdf be cdf dd bf dd cdf eb fdc dd bb dd cdf bc da dd eb ad gdf bb da dd be gdf gdf fb dd dd bb cdf gdf be dd dd fbf fdadf eb ddd bb df bf eb bb be ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#67d858ff b,#8f359dff c,#a4e99bff d,#31d11cff e,#ca9fd0ff f,#dfe5deff g,#ac6cb6ff ``` ```image ddda cdddf adda cdddf adda fdddf adda fdddc adda fdddc addd fdddc cddd dddc cddd dddc cdddf ddda cdddf feeef adda gbbbbbgeef fdddf fbbbbbbbbbbbggef adda ebbbgbbbbbbbbbbbbbgeff fdddf gbbe feegbbbbbbbbbbbb adda bbbf feegbbbbbbb fdddc fbbb feggb adda ebbg fdddc gbbe cddd bbbf dddcbbb cddabbg ddbbbe cdbbbf abbb gbbbf gbbaa bbbddf fbbbdda ebbgdddf gbbeadda bbbffdddc fbbb adda ebbg fdddc gbbe addd bbbf fdddc fbbb cddd ebbg dddc gbbe cddd bbbf dddc fbbb cdddf ebbg ddda gbbe cdddf bbbf adda fbbb fdddf ebbg adda gbbe fdddc bbbf addd fbbb fdddc ebbg cdddf gbbe ddda bbbf cdddf fbbb adda ebbg fdddc gbbe adda bbbf fdddc fbbb cddd ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area A. Let's shift our focus to the next area. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#84e377ff b,#90389eff c,#b4eeacff d,#30d11aff e,#bf8cc7ff f,#e1e8e0ff g,#59d049ff ``` ```image cdddc gddg adddf fddda gddg cdddc ddda adddf fdddc gddg cdddc ddda adddf fdddc gddg cdddf ddda adddf fdddc gddg cdddf fddda addd fdddc gddg cdddf fddda beeff addd bbbbbbeeef cdddc bbbbbbbbbbbbeef gddg feebbbbbbbbbbbbbbeef fdddf feebbbbbbbbbbbbbbbggg ffeebbbbbbbbbbbbbbeef feebbbbbbbbbbbbbbeef ggbbbbbbbbbbbbbbbeeff fdddf feeebbbbbbbbbbbbbeee addg ffeebbbbbbbbbbb dddc feebbbbbb cddd feee gdda fdddf addg dddc cddd gdda fdddf addg dddc cddd gdda cdddf gdda cdddf gdda cdddf gdda cdddf gdda cdddf gdda cdddf gdda cdddf gdda cdddf ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#6fda60ff b,#8f359dff c,#adeca5ff d,#31d11cff e,#caa0d1ff f,#e4ece4ff g,#ac6ab7ff ``` ```image df a adf dd da cdf dd dd fdc cdf dd dd adf fdc da dd dd fdc cdc dd dd dc ad dd da da dd ad cdc da dd ad ad dd da cd dd dd cdf cdf dd dd ee ad cdf fbbbbbge fda dd gb febbbbbbbef dd fdc bb egbbbbbbgf cdf dd be egbbbbbbge dd fdcb fgbbbbbbbef ad dbb febbbbbbbgf fda bb egbbbbbbge dd ba fgbbbbbbgeffdf fbda febbbbbbbef gbad abbbbbbbge bb da ad egbbbbbbge be ad dd febbbbbbbf fb dd fdf egbf gb cdf dd bb dd da be cdf ad fb dd dd gb fdc cdf bb dd dd be da cdf fb ad dd gb dd cdf bb ad dd be dd cdf fb cdf dd gb dd cdf bb fdc dd be dd cdf fb da dd gb ad cdf bg dd dd bf cdf cdf eb dd dd bb fdc cdf be dd dd eb fda cdf bb dd dd bg da cdf fb ad dd gb dd cdf bg cdf dd bf dd cdf gb fdc dd bb dd cdf be da dd eb ad cdf bb dd dd be ad cd fb dd dd bb cdf cd bg dd dd fbf fdad gb ddd bb d be eb bb be ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#bab653ff b,#4dbaceff c,#b79f15ff d,#dfd599ff e,#b1d7b1ff f,#eef5edff g,#98c997ff ``` ```image dc ccf ccc cccf dcdcc ac cc cc fca cc cc ca dca bf dcd cc ebbe ac dcd fbbb cc cc bbbf cc acd ebbb ca cc fbbb dcd acf bbbe ac cc fbbb cc ccf bbbf cc fcc ebbe ca cc fbbbf fffffffffffffdcdfffffffffdcafffffffffffffffffffffffffffff bbbb fgeeeeeeeeeeeeacgeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbf feeeeeeeeeeeeecceeeeeeeeeeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeg ebbb feeeeeeeeeeeeecceeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeg bbbe feeeeeeeeeeeeecceeeeeeeeeeeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbb feeeeeeeeeeeegcaeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeg bbbb feeeeeeeeeeeeaceeeeeeeeeeeeeeacgeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbfeeeeeeeeeeeecceeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeg ebbbeeeeeeeeeeecceeeeeeeeeeeeeeeccgeeeeeeeeeeeeeeeeeeeeeeeeg bbbgeeeeeeeeecceeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeg fgbbbeeeeeeegcaeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeg feebbbbeeeeeaceeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeg feeeebbbeeeecceeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeeg feeeeebbbbeecceeeeeeeeeeeeeeeeeegcaeeeeeeeeeeeeeeeeeeeeeeg feeeeeeebbbgcceeeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeeg feeeeeeeegbgcaeeeeeeeeeeeeeeeeeeeacaeeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeacbbeeeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeccbbbeeeeeeeeeeeeeeeeeeacaeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeccebbbbeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeeg feeeeeeeeeecceeebbbgeeeeeeeeeeeeeeeacgeeeeeeeeeeeeeeeeeeeg feeeeeeeeegcaeeeegbbbeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeeg feeeeeeeeeaceeeeeeebbbbeeeeeeeeeeeeeccgeeeeeeeeeeeeeeeeeeg feeeeeeeeecceeeeeeeeebbbeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeg feeeeeeeeecceeeeeeeeeebbbbeeeeeeeeeeecceeeeeeeeeeeeeeeeeeg feeeeeeeeecceeeeeeeeeeeebbbeeeeeeeeeegcceeeeeeeeeeeeeeeeeg feeeeeeeegcaeeeeeeeeeeeeebbbbeeeeeeeeecceeeeeeeeeeeeeeeeeg feeeeeeeeaceeeeeeeeeeeeeeeebbbbeeeeeeegcaeeeeeeeeeeeeeeeeg feeeeeeeecceeeeeeeeeeeeeeeeeebbbeeeeeeecceeeeeeeeeeeeeeeeg feeeeeeeecceeeeeeeeeeeeeeeeeeebbbbeeeeeacaeeeeeeeeeeeeeeeg feeeeeeeecceeeeeeeeeeeeeeeeeeeeebbbeeeeecceeeeeeeeeeeeeeeg feeeeeeegcaeeeeeeeeeeeeeeeeeeeeeebbbbeeeacaeeeeeeeeeeeeeeg feeeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeebbbbeecceeeeeeeeeeeeeeg feeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeegbbbeccgeeeeeeeeeeeeeg feeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbcceeeeeeeeeeeeeg feeeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbcceeeeeeeeeeeeeg feeeeeegcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbcceeeeeeeeeeeeg feeeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccbgeeeeeeeeeeg feeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegccbbeeeeeeeeeg feeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccbbbbeeeeeeeg feeeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacaebbbeeeeeeg feeeeegcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceebbbbeeeeg feeeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacaeeebbbgeeg feeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeegbgeeg feeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacaeeeeeeeeg feeeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeeg feeeegcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccgeeeeeeeg feeeeaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeg feeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeg feeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeg feeeecceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeg feeegcaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegcceeeeeg fgggacggggggggggggggggggggggggggggggggggggggggggggccggggge cf cc dca dcccd cc cc fccccd cc dcd accca fcd cc dccccf acf acd dccccf fdccc cd fccccd facccccccc ccccdaccccccccad accccccdf df ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#c5b855ff b,#4ab9cfff c,#b79f15ff d,#ebe5c0ff e,#83cfdeff f,#c1e7eeff g,#dbcf8bff ``` ```image gcccd accc accc dccc ccca cccd dccca gcca dcccg ccc gcccd gccg accc ccc ccca gccg dccca ccc dcccg cccg gcccd cccc accc acccd ccca dccca ccca acccd e dcccg dccca bbf gcccd ccccd bbbe accc gccca bbbbbf ccca cccc ebbbbbef ccca gcccg fbbbbbbe dcccg cccc ebbbbbbf gcccd gcccg fbbbbbbe accc dcccc ebbbbbbf ccca acccg febbbbbef ccca dccca fbbbbbbe dcccg acccd ebbbbbbf gcccd dccca fbbbbbbe accc acccd ebbbbbbfcccc dccca febbbbbccca ccccd fbbbbcccg gccca ebacccbf cccc facccbbe gcccg ccccbbbbf cccc cccabbbbbe acccg dcccgfbbbbbbf dcccc gcccd ebbbbbbf acccg accc fbbbbbbe dccca cccc ebbbbbbf acccd ccca fbbbbbbe dccca dcccg fbbbbbbf acccd gcccd ebbbbbbf gccca accc fbbbbbbe ccccd cccc ebbbbbbf gcccg ccca fbbbbbbe cccc dcccg ebbbbbbf gcccg gcccd febbbbbef cccc accc fbbbbbbe acccg cccc ebbbbbbf dcccc ccca fbbbbbbe acccd dcccg ebbbbbb dccca accc fbbbbbe dccca cccc ebbbbbf ccccd ccca fbbbbbe gccca dcccg ebbbbbbf ccccd gcccd febbbbbef gcccg accc fbbbbbbe cccc cccc ebbbbbbf gcccg ccca fbbbbbbe cccc dcccg ebbbbbbf acccg gcccd febbbbbef dcccc accc fbbbbbbe acccd cccc ebbbbbbf dccca ccca fbbbbbbe acccd dcccg ebbbbbbfdccca gcccd fbbbbbbeccccd accc fbbbbbaccca cccc ebbbbcccc ccca fbbbacccg dcccg ebbccccf gcccd fbacccae accc eccccbbf cccc acccbbbef ccca dccccbbbbe dcccg acccbbbbbbf gcccd dcccabbbbbbe accc acccdebbbbbbf cccc dccca febbbbbef ccca ccccd fbbbbbbe dcccg gccca ebbbbbbf gcccd cccc fbbbbbbe accc gcccg ebbbbbbf cccc cccc febbbbb ccca gcccg fbbbf dcccg dcccc ee gcccd acccg accc dccca accc acccd ccca dccca dcccg acccd gcccd gccca accc ccccd accc gccca ccca cccc dcccg gcccg gcccd cccc accc acccg accc dcccc ccca acccd dcccg dccca gcccd acccd ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c7b54dff b,#4bbad0ff c,#b79f14ff d,#e8e0b5ff e,#9ad8e4ff f,#e8f1ebff g,#d8cc82ff ``` ```image dc ccd ccc cccf dcgcc ac cc cc dca cc cc ca dca b dcd cc ebbe ac gcg fbbb cc cc bbbf cc acd ebbe ca cc bbb dcd acd bbbe ac cc fbbb cc ccf bbbf cc fcc ebbe ca cc fbbb dcg dca bbbe ac cc fbbbf cc dca ebbb cc cc bbbe ca gcg ebbb dcg cc bbbe ac acd fbbbf cc cc ebbb cc ccf bbbe ca cc ebbb dcg cc bbbe ac fcc fbbbf cc cc ebbb cc dca bbbeca cc ebbcg gcg acbe cc ccbbbf gcg cc ebbb cc ca bbbe acd dcg ebbb cc acf bbbe ccf cc fbbbf cc cc bbbb cc cc fbbbf fcc dcg ebbb cc acf bbbe dca cc fbbbf cc cc bbbb gcg cc fbbbf cc dcg ebbb acg acf bbbe cc cc ebbb acd cc bbbecc cc fbbccf dcg ebcc acf ccbe cc dccbb cc ccbbbe cc dcafbbbf dcg cc ebbb acf gcg bbbe cc cc ebe cc acd cc cc dcg acd acf cc cc ccf cc fcc cc cc dcg dca gcf cc cf cc dca dcccd cc cc fccccg cc gcg accca dcg cc gcccc gcf acd dccccf fgccc cg fccccd dgcccccccc acccgaccccccccgd accccccgf d ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. 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,#f71acaff b,#c42139ff c,#e8a5d0ff d,#b2d7b1ff e,#c47276ff f,#98c796ff g,#ea61cdff ``` ```image a caaac gaaacag aaaa aa caaag aa gaaag aa aaaac aa bc caaaa ga be caaag ca be gaaac a be aaaa ac be caaag ag bb gaaac ag bb dffffffffffffffffffffffffffffffffffffaaaafffffffffffffffffffffffffffaafffffff bb fdddddddddddddddddddddddddddddddddcaaaadddddddddddddddddddddddddddddaaddddddd bb fdddddddddddddddddddddddddddddddgaaagfbeddddddddddddddddddddddddddddaaddddddd bb fdddddddddddddddddddddddddddddaaaacdbbbbbbedddddddddddddddddddddddddgaddddddd bb fddddddddddddddddddddddddddcaaaaddebbbddebbbbbddddddddddddddddddddddcaddddddd bb fddddddddddddddddddddddddgaaagdddbbbdddddddebbbbbfdddddddddddddddddddaddddddd bb fddddddddddddddddddddddgaaacdddebbedddddddddddebbbbbfddddddddddddddddacdddddd bb fddddddddddddddddddddaaaadddddbbbddddddddddddddddfbbbbbedddddddddddddagdddddd bb fddddddddddddddddddaaagdddddebbeddddddddddddddddddddfbbbbbeddddddddddagdddddd bb fdddddddddddddddddaagdddddfbbbdddddddddddddddddddddddddfbbbbbedddddddaadddddd eb fddddddddddddddddaaddddddbbbfddddddddddddddddddddddddddddddebbbbeddddaadddddd eb fdddddddddddddddaacddddebbedddddddddddddddddddddddddddddddddddebbbbedaadddddd eb fddddddddddddddgagddddbbbddddddddddddddddddddddddddddddddddddddddebbbaadddddd eb fddddddddddddddaadddebbeddddddddddddddddddddddddddddddddddddddddddddebabbeddd eb fdddddddddddddaaddfbbbdddddddddddddddddddddddddddddddddddddddddddddddcaebdddd cb fddddddddddddaaddbbbfdddddddddddddddddddddddddddddddddddddddddddddddddacddddd cb fdddddddddddgacebbbdddddddddddddddddddddddddddddddddddddddddddddddddddagddddd cb fdddddddddddaabbbdddddddddddddddddddddddddddddddddddddddddddddddddddddagddddd cb fddddddddddgabbeddddddddddddddddddddddddddddddddddddddddddddddddddddddaaddddd b fddddddddddaabddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaddddd bc fddddddddbbaedddddddddddddddddddddddddddddddddddddddddddddddddddddddddaaddddd bc fddddddfbbaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgaddddd bc fdddddbbbfagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgaddddd bc fdddebbedgadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcaddddd bc fddbbbdddaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddacdddd be febbeddddacddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddagdddd be bbbdddddaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddagdddd be bbbfddddddaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaadddd becbbefddddddgaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaadddd bbbb fddddddaaddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddaadddd bbe fddddddagddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgadddd fdddddaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgadddd fdddddaadddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddcadddd dffffeafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffaffff aa ac ag ga aa cac aa ag ga aa ac aa aa ca aa ag ga aa cac aa ag ga aa ac aa aa ca aa ag ga aa ca aa ag ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f719caff b,#c41f38ff c,#e08b99ff d,#f8aee2ff e,#d25368ff f,#fae1efff g,#f963dbff ``` ```image daaaagd daa fgaaaaaf faa daaaaad faa gaaaaagfebe aa dgaaaad bbbbbef aa faaaaag cbbbbcebbbbbef aa gaaaaa dbbbef cebbbbbec aa fdaaaagf cbbbef cebbbbbec aaf gaaaaad ebbbd cebbbbbbc aaf dgaaaag cbbbc febbbbbbc aad faaaaagf febbbc cbbbbbbe gag gaaaaa bbbbf cbbbbbbec gag aaaagf bbbbf cebbbbbec daa aaad debbbd cebbbbbec daa daaa dbbbef febbbbbbc faaf aaaf ebbbb febbbbbbcd aad gaa ebbbb cbbbbbbeaag daag cbbbcf cbbbbbaag aaaf febbbc feeaabbc aaa bbbbf daabbc daag bbbbf faa f aaaf debbed aa faaf fbbbb aa gaagebbbb aa aagcbbbef aa aabbbcf aa faabbd aa baaaf aad febaac aad debbaad gag fbbbbaaf gag fbbbb daa daa cbbbef gaa daa cbbbcf daaf aad bbbbe gag aad bbbbf aa gag ebbbc aa gag bed gag daa b faad daa f gaa faa aad aa aa aa daa aa aag aa gaa aa ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#f718cbff b,#c41e38ff c,#e395a2ff d,#fb8ee5ff e,#d3576cff f,#f9d0e8ff g,#f94fd7ff ``` ```image fg daaad gaaadad aaaaf ag faaag aa daaad aa gaaaf ga bc faaaa da bc daaag da be gaaad faf be faaaaf ad be daaag ad be gaaad ag bb aaaaf aa bb faaag aa bb daaadfbe ga bb gaaaf ebbbbbe ga bb faaaa cbbe cbbbbef da bb daaag bbbf cbbbbef faf bb gaaad cbbc cbbbbbf af bb faaaaf fbbb fbbbbbc ad bb faaag ebbc febbbbc ag eb aad fbbb febbbbc aa eb aa bbbf ebbbbc aa eb gaf cbbe ebbbbe aa eb dag bbb cbbbaa cb faa ebbc ceabbc cb aa fbbb facbf cb aa ebbf af cb gadcbbe ad fb agbbbf ag fb gabbc aa fbf faab aa fbf ebac aa bf fbbaa ga bc bbbfag da bc cbbe ga fa bc bbb aa af bc ebbc fad ad be fbbb aa ag be ebbf ag aa becbbe da aa bbbbf aa aa bbc ad ga f ga da aa fa daf af aa ad ag ga aa faf aa ag da aa fad aa aa daf aa ad ga aa faf aa ag da aa fad aa ag da aa ad ga aa faf aa ag f ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#1e9a34ff b,#c3cfc2ff c,#6dbb79ff d,#ebf3ebff e,#94c996ff f,#45aa56ff g,#b1d7b1ff ``` ```image fe daaa aaaa daaaf eaaab aaaa aaaa daaac caaad aaaa aaaa baaae faaad aaaa daaaf eaaag faaa aaaa daaac caaad aaaa aaaa baaae faaad aaaa aaaf gaaag faaa aaaa daaaf eaaab aaaa aaaa dddddddddddddddd daaac eggggggbbbggggggg caaad egggbbbbbbggggggg aaaa egbbbbbbbbggggggg aaaaeeeeeeeeeeeeeeeeeeeeg dbbbbbbbbbbbaaaggg gaaacggggggggggggggggggge bbbbbbbbgggbbbaaaggg dfaaaggggggggggggggggggge dbbbbbbbbgggggbbbaaaggg dgaaaagggggggggggggggggge dbbbbbbbggggggggbbbaaaggg dggaaafggggggggggggggggge bbbbbbbbd egggggggbbbcaaggg dggcaaaegggggggggggggggge dbbbbbbbb eggggggggbbbaaggg dgggaaaagggggggggggggggge dbbbbbbbd eggggggggbbbaaggg dggggaaaaggggggggggggggge bbbbbbbbd eggggggggbbbaaggg dggggeaaafggggggggggggggbbbbbbbb eggggggggbbbcaggg dgggggfaaaegggggggggggbbbbbbbd egggggggggbbbaggg dggggggaaaaggggggggbbbbbbbbd egggggggggbbbaggg dgggggggaaaagggggbbbbbbbb egggggggggbbbaggg dgggggggeaaacggbbbbbbbbge egggggggggbbbeggg dggggggggfaaebbbbbbbgggge egggggggggebbbggg dggggggggggbbbbbbbgggggge egggggggggfbbbggg dgggggggbbbbbbbbgggggggge egggggggggfbbbggg dggggbbbbbbbbfacgggggggge egggggggggfgbgggg dggbbbbbbbbgaaaagggggggge egggggggggaaacggg dbbbbbbbbggggaaaaggggggge egggggggggaaaeggg dbbbbbbbgggggggeaaafgggggge egggggggggaaaeggg bbbbbbbbggggggggggcaaaeggggge egggggggggaaaeggg dbbbbbbbbgggggggggggggaaaaggggge egggggggggaaagggg dbbbbbbbddgggggggggggggggaaaagggge egggggggggaaagggg bbbbbbbbd dgggggggggggggggeaaafggge egggggggggaaagggg dbbbbbbbb dggggggggggggggggfaaaegge egggggggggaaagggg dbbbbbbbd dgggggggggggggggggaaaagge egggggggggaaagggg bbbbbbbbd dggggggggggggggggggaaaage eggggggggaaaagggg bbbbbbbb dggggggggggggggggggcaaace egggggggaaaaagggg dbbbbbbbd dgggggggggggggggggggfaaae eggggggaaaafggggg bbbbbbbbd dggggggggggggggggggggaaaa eggggeaaaafgggggg bbbbbb eeeeeeeeeeeeeeeeeeeeeaaaf dddgaaaagddddddd bbbd eaaab eaaaad d aaaa faaaa aaaa aaaaa daaac aaaaa caaad aaaaf aaaa daaaae aaaa gaaaab baaae caaaad faaad faaaa aaaa aaaaa daaaf aaaaf eaaaaaaac faaaaae aaaab daad ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#1e9a34ff b,#c2cec2ff c,#70bd7dff d,#ecf2edff e,#99cea2ff f,#44aa56ff g,#d6e3d7ff ``` ```image aaaaafd aaaaaac aaaaaaae caaaaaaag faaaaaafd gaaaaaaac eaaaaaaae caaaaaaag dfaaaaaaf gaaaaaaac eaaaaaaab faaaaaaad daaaaaaaf baaaaaaae caaaaaaag faaaaaafd gaaaaaaac d baaaaaaae dgb caaaaaaag dbbbb dfaaaaaafd gbbbbbb gaaaaaaac dgbbbbbbbb eaaaaaaab dbbbbbbbbbbb caaaaaaad gbbbbbbbbbbbbb dfaaaaaaf dgbbbbbbbbbbbbbbg baaaaaaae dgbbbbbbbbbbbbbbgd eaaaaaaabgbbbbbbbbbbbbbbbd faaaafcbbbbbbbbbbbbbbgd daafebbbbbbbbbbbbbbgd bbbbbbbbbbbbbbbbg dgbbbbbbbbbbbbbbgd dgbbbbbbbbbbbbbbgd dbbbbbbbbbbbbbbbcc dgbbbbbbbbbbbbbbefaaae dgbbbbbbbbbbbbbbefaaaaaag dbbbbbbbbbbbbbbbg dfaaaaaaf dgbbbbbbbbbbbbbbbd gaaaaaaac gbbbbbbbbbbbbbbgd eaaaaaaab bbbbbbbbbbbbbg faaaaaaad bbbbbbbbbbbd daaaaaaaf bbbbbbbbgd baaaaaaae bbbbbbgd caaaaaaag bbbbd faaaaaafd bgd gaaaaaaac d eaaaaaaae caaaaaaag dfaaaaaaf gaaaaaaac eaaaaaaab caaaaaaad dfaaaaaaf baaaaaaae eaaaaaaag faaaaaafd daaaaaaac baaaaaaae caaaaaaa dfaaaaaa gaaaaaa eaaaaa ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Time for a closer look at another area. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#1e9a34ff b,#c2cec2ff c,#72bb7eff d,#ebf1ebff e,#a2cea9ff f,#43a955ff g,#d5e2d6ff ``` ```image dgbg dgbbbbbg dgbbbbbbbbd dbbbbbbbbbbbg dgbbbbbbbbbbbbbg dgbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbd d bbbbbbbbbbbbbbbbbbbbgbaaaaff bbbbbbbbbbbgd gbbbbbgeaaaaaa bbbbbbbbbg dbbbbbbeaaaaaf bbbbbbbd dbbbbbbeaaaaaf bbbbgd bbbbbbeaaaaaf bbg gbbbbbbaaaaaf d dbbbbbbaaaaac dbbbbbbfaaaac bbbbbbcaaaac gbbbbbeaaaac dbbbbbbaaaae dbbbbbbfaaae bbbbbbcaaae gbbbbbeaaae dbbbbbbaaab dbbbbbbfaab bbbbbbcaag gbbbbbeaag dbbbbbbaad dbbbbbbfad bbbbbbca gbbbbbea dbbbbbbf dbbbbbbc bbbbbbc ebbbbbe ebbbbbb cbbbbbbd cebbbbbg ccbbbbbb ccbbbbbb ffbbbbbbd faebbbbgd faccfae faaaaae aaaaaab aaaaaab aaaaaag daaaaaag daaaaaag gaaaaaad gaaaaaad baaaaaa baaaaaa eaaaaaa eaaaaaf eaaaaaf eaaaaaf caaaaac caaaaac caaaaac dfaaaaac gfaaaaaac baaaaaaaae eaaaaaaaafd eaaaaaaaafg caaaaaaaafd dfaaaaaaaacd dfaaaaaaaac ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1e9a34ff b,#c2cfc1ff c,#64b873ff d,#eaf1ebff e,#8eca98ff f,#3ca74fff g,#d5e2d6ff ``` ```image fe daaa aaaa daaaf eaaab aaaa aaaa gaaac caaag aaaa aaaf baaae faaad aaaa daaaf eaaab faaa aaaa daaac caaag aaaa aaaa gaaae caaad aaaa aaaf baaae faaa aaaa daaac eaaag aaaa aaaa gaaac gbbg caaad bbbbbb aaaa dbbbbbbbb aaaf gbbbbbbbbbbgaaf baaae bbbbbbbb dbbbaaa faaad dbbbbbbbg bbbaaa aaaa gbbbbbbbd bbbaaa daaaf gbbbbbbbd bbbcaa eaaab dbbbbbbbg dbbbaa faaa dbbbbbbbd bbbaa aaaa gbbbbbbbd bbbaa daaac bbbbbbbg bbbca caaag dbbbbbbbg dbbba aaaa gbbbbbbbd bbba aaaa bbbbbbbb bbbf gaaae dbbbbbbbg bbbe faaebbbbbbbd ebbb bbbbbbbb cbbb dbbbbbbbg cbbb gbbbbbbbcab fbbbd bbbbbbbb faaa faab dbbbbbbbg aaaa aaab gbbbbbbbd daaac aaag gbbbbbbb eaaag aaad dbbbbbbbg aaaa aaa gbbbbbbbd aaaa aaa gbbbbbbbd gaaae aaa dbbbbbbbg caaad aaa dbbbbbbbg aaaa aaa gbbbbbbbd aaaf faaa bbbbbbbb baaae aaaaf dbbbbbbbg faaa aaaaf gbbbbbbbd aaaa daaaac bbbbbb daaaf baaaab gbbg eaaab eaaaag d faaa caaaa aaaa faaaa gaaac aaaaf caaag aaaac aaaa gaaaae aaaf baaaab baaae eaaaad faaad faaaa aaaa aaaaa aaaf aaaaf eaaaaaaac faaaaae aaaag daad ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#4e1d59ff b,#3e9282ff c,#b1d6b2ff d,#85698cff e,#91bea2ff f,#dce6e6ff g,#63a897ff ``` ```image f fbg bbb bbb ebbf bbg bbb gbb fbbc bbb bbb cbbf bbg bbb ebbf fbbe bbb cb gbb bbe fbbc bbb bbg fbbb bbb cbbbf ebbf bbbbe bbg bbbbb bbb bbfbb gbb fbb bbf fbbc ebb bbe bbb bbg ebb bbb bbc fbb cbbf bb bbf bbg fbb bbe bbb ebb ebb ebb bbg fbb fbbe bbf bbf bbb bb bbe gbb fbb ebb cbbc ebb fbb bbg bbg bbf bbb bbf bbe ebbf bb ebb bbe fbb fbb bbb ebb bbf gbb f bbe fbbc ebb bbb fbb bbb bbf cbbf bbe bbg d ebb bbb aad fbb gbb aaa bbf fbbe daaa bbe bbb aaaac ebb gbb faaaaa fbb cbbf aaacaa bbf bbg aac aaf bbe bbb caa aad ebb ebbf aaa daa fbb fbbe aaf aa bbf bbb daa aae bbe gbb aad daa ceeeeegbbeeeeeeeeeeeeeeeeeee ebbc aa faa eccccccbbcccccccccccccccccccebbg daa aaf eccccccbbccccccccccccccccccgbbg aae aaa eccccccbbgccccccccccccccccebbg faa caa eccccccgbbcccccccccccccccebbb aaa ecccccccbbccccccccccccccebbb aaf ecccccccbbcccccccccccccebbbc eaa ecccccccbbgcccccccccccebbbcc aad ecccccccgbbccccccccccebbbccc aaf eccccccccbbcccccccccebbbcccc daa eccccccccbbcccccccccbbbccccc fdaaaaaad eccccccccbbgcccccccbbbcccccc fdaaaaaaaaaaaa eccccccccgbbccccccbbbccccccc cdaaaaaaaaaaaaadf ecccccccccbbcccccbbbcccccccc cdaaaaaaaaaaaadef ecccccccccbbccccbbbcccccccceedaaaaaaaaaaaadef ecccccccccbbgccbbbcccedaaaaaaaaaaaaadc ecccccccccgbbcbbaaaaaaaaaaaaaadc eccccccccedaaaaaaaaaaaaadecc eccedaaaaaaaaaaaaadecccccccc cdaaaaaaaaaaaaabbcccccccccccccc cdaaaaaaaaaaaaddccccebccccccccccccccc eaaaaaaaddccccccccccccccccccccccccccc fadc eccccccccccccccccccccccccccc eccccccccccccccccccccccccccc eccccccccccccccccccccccccccc ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d1c58ff b,#409383ff c,#b7c7caff d,#967a9dff e,#7db6abff f,#dfe7e8ff g,#644874ff ``` ```image bbbbb ebbbbf cbbbbc fbbbbe bbbbb ebbbbf c cbbbbc cb fbbbbe cbb bbbbb cbbb ebbbbf cbbbb cbbbbc cbbbbb fbbbbe cbbbbbb bbbbb cbbbbbbf ebbbbf cbbbbbbf cbbbbc fbbbbbbf fbbbbe fbbbbbbf bbbbb fbbbbbbc ebbbbf fbbbbbbc cbbbbc fbbbbbbc fbbbbe fbbbbbbc bbbbb fbbbbbbc ebbbbf fbbbbbbc cbbbbc fbbbbbbc fbbbbe fbbbbbbc bbbbb fbbbbbbe ebbbbf bbbbbbe cbbbbc ebbbbbe fbbbbe ebbbbbe bbbbb ebbbbbe ebbbbf ebbbbbe f cbbbbc ebbbbbe fcddgaa fbbbbe ebbbbbe fcddgaaaaaaaa bbbbb ebbbbbeffcddgaaaaaaaaaaaaaa ebbbbf ebbbggggaaaaaaaaaaaaaaaaaaaa cbbbbdgaaaaaaaaaaaaaaaaaaaaaaaaaagd fcddaaaaaaaaaaaaaaaaaaaaaaaaaggdccf fcddgaaaaaaaaaaaaaaaaaaaaaaaagddcf fcddgaaaaaaaaaaaaaaaaaaaaaaaagddcf cddgaaaaaaaaaaaaaaaaaaaaaaaaaddcf aaaaaaaaaaaaaaaaaaaaaaaggbbbf aaaaaaaaaaaaaaaagdccf bbbbbf aaaaaaaaaggdccf fbbbf aaagddcf f cf ``` <!-- end of image --> I can confirm that 2 intersections exists in area A. Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4d1b58ff b,#3f9382ff c,#b8c1c8ff d,#9b80a2ff e,#7db6aaff f,#dfe9e8ff g,#714f7cff ``` ```image f fbe bbb bbb cbbf bbe bbb ebb fbbc bbb bbb cbbf bbe bbb ebbf fbbe bbb cb bbb bbe cbbc bbb bbb fbbb bbb cbbbf ebbf bbbbe bbe bbbbb bbb bbfbb ebb fbb bbf fbbc ebb bbe bbb bbe ebb bbb bbc fbb cbbf bb bbf bbe fbb bbe bbb ebb ebb ebbf bbe fbb fbbe bbc bbf bbb bb bbe bbb fbb ebb cbbc ebb fbb bbb bbe bbf bbb bbf bbe ebbf bb ebb fbbe fbb fbb bbb ebb bbf ebb f bbe fbbc ebb bbb fbb bbb bbf cbbf bbe bbe d ebb bbb aad fbb ebb aaa bbf fbbe gaaa bbe bbb aaaac ebb bbb faaaaa fbb cbbc gaacaa bbf bbb aac aaf bbe bbb caa aag ebb ebbf aag daa fbb fbbe aaf aa bbf bbb daa aad bbe bbb aag gaa ebb ebbc aa faa fbb ebbe gaa aac bbf cbbb aad aag bbe cbbb faa caa ebb cbbb aaa fbb cbbb aac bbf fbbb caa bbe fbbb aag ebb fbbb aaf fbb fbbb daa bbf fbbb fdgaaaaad bbe fbbb cdaaaaaaaaaaaa ebb bbb cdaaaaaaaaaaaagdf fbb bbb cgaaaaaaaaaaaagdf bbf bbb fdgaaaaaaaaaaaagcf bbe bbb fdgaaaaaaaaaaaagc ebb bbggaaaaaaaaaaaadc cdaaaaaaaaaaaaadc cdaaaaaaaaaaaagdf fcgaaaaaaaaaaaaagbf cgaaaaaaaaaaaagcf fbf daaaaaaagc fadc ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#4bbc1fff b,#97ce94ff c,#18d311ff d,#eaf6e8ff e,#7cd36bff f,#b1d8b1ff g,#58cb41ff ``` ```image ebf aaa aaa aaa aaa aaa aaa daaa faaa faaa baag eaae gaab aaaf aaaf aaad aaa aaa aaa ddddddddddddddddddddddddddddd aaa bffffffffffffffffffffffffffffbd aaa bfffffffffffffffffffffffffffffd aaa bfffffffffffffffffffffffffffffd daaa bfffffffffffffffffffffffffffffd daaa fd bfffffffffffffffffffffffffffffd faaa gaaab bfffffffffffffffffffffffffffffd baag aaaaaaagf bfffffffffffffffffffffffffffffd eaae gaaaaaaaaaagf bfffffffffffffffffffffffffffffd eaae baaaaaaaaaaaed bfffffffffffffffffffffffffffffd gaab deaaaaaaaaaaabd bfffffffffffffffffffffffffffffd aaaf deaaaaaaaaaaaeffffffffffffffffffffffffffffd aaad fgaaaaaaaaaagbffffffffffffffffffffffffd aaad faaaaaaaaaaagbffgbffffffffffffffffd aaa dgaaaaaaaaaaccccfffffffffffffffd aaa bffbgaaaaacccccccfffffffffffffd aaa bffffffbgcccccccccgfffffffffffd aaa bfffffffgccccaccccccefffffffffd aaa bffffffbccccgaaaccccccbfffffffd aaa bffffffccccffaaaagccccccbfffffd daaa bfffffccccffffaaaaegccccccffffd faaa bffffccccbfffffaaaabfccccccgffd faaa bfffgcccefffffffaaaabffccccccgd baag bffeccccfffffffffaaaafffbccccccf fbbbbbbbbbbgaagbbbbb bffccccfffffffffffaaaaffffeccccccd bffffffffffgaaefffff bfccccffffffffffffbaaaafffffgccccccd bffffffffffaaaefffff bccccbfffffffffffffbaaaaffffffgcccccg bffffffffffaaabfffff acccefffffffffffffffeaaaafffffd cccccce bffffffffffaaabfffff bcccgfffffffffffffffffgaaagffffd dccccccb bffffffffffaaaffffff dccccfffffffffffffffffffgaaagfffd fccccccfbffffffffffaaaffffff ccccfffffffffffffffffffffaaaaeffd bccccccbfffffffffaaaffffff ccccfffffffffffffffffffffffaaaaefd eccccccffffffffaaaffffff gccceffffffffffffffffffffffffaaaabd gcccccaffffffaaaffffff ecccebfffffffffffffffffffffffffaaaad dccccccgffffaaaffffff dcccc bffffffffffffffffffffffffffaaaa bbcccccceffaaaffffff cccc fbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaa bffecccccceaaaffffff cccc daaaa bffffgccccccaaffffff ccccd faaaa bffffffgccccccffffff ecccb baaaa bffffffffccccccgffff fcccg eaaag bfffffffffgcccccceff dcccc gaaae bfffffffffgaaccccbff cccc gaaab bfffffffffaaaeeccfff ccccd aaaaf bfffffffffaaabffffff gcccf aaaad bfffffffffaaabffffff bcccg aaaad bfffffffffaaafffffff dcccc aaaa bfffffffffaaafffffff cccc daaaa bfffffffffaaafffffff ccccd daaaabfffffffffaaafffffff gcccf faaaafffffffffaaafffffff eccce baaaaffffffffaaafffffff dcccc eaaagffffffbaaafffffff cccc gaaagfffffbaaafffffff cccc aaaaeffffeaaafffffff ccccd faaaaebbbeaaabbbbbbb ecccb aaaad eaae fcccg aaaad eaae ecc aaaa gaab d daaaaaaaf daaaaaad faaaaad baaaa eaaa eag ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4bbc1fff b,#96e288ff c,#17d310ff d,#dcf5d8ff e,#70d45aff f,#bbecb2ff g,#3fdb39ff ``` ```image d aaebd aaaaaaefd aaaaaaaaaabf aaaaaaaaaaaaaebf aaaaaaaaaaaaaaaaaebd bebd aaaaaaaaaaaaaaaaaaaaaebgcccced fbeaaaaaaaaaaaaaaaaaaaccccccccb dfbaaaaaaaaaaaaaaaacccccccccgb dfeaaaaaaaaaaaccccccccccccgf dbeaaaaaacccccccccccccccgd fbeacccccccccccccccccced gccccccccccccccccccccb bccccccccaacccccccccccccb fccccccccaaaaaccccccccccccgf dcccccccgdeaaaaaaccccccccccccgf dgcccccccd eaaaaaaacccccccccccced gcccccccf daaaaaaaaecccccccccccced ecccccccb daaaaaaaabeccccccccccccb bcccccccg daaaaaaaafdeccccccccccccb fcccccccg faaaaaaaaf fgcccccccccccgf dccccccccd faaaaaaaad fgcccccccccccgd gcccccccf baaaaaaaad bcccccccccccced ecccccccb baaaaaaaad bcccccccccccc bccccccce eaaaaaaae decccccccccc fcccccccg eaaaaaaae decccccccc dccccccccd eaaaaaaae fgcccccc gcccccccf eaaaaaaab fgcccc ecccccccb daaaaaaaab bccc bccccccce daaaaaaaab dec fcccccccg daaaaaaaaf d dcccccccgd faaaaaaaaf dgcccccccd faaaaaaaad gcccccccf baaaaaaaad ecccccccb baaaaaaaad cccccccg eaaaaaaae ccccccg eaaaaaaae ccccccd eaaaaaaae cccccf eaaaaaaab ccccb daaaaaaaab ccce daaaaaaaab ccg daaaaaaaaf ccd faaaaaaaaf cf faaaaaaaa b baaaaaaa baaaaaa eaaaaa eaaaa ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Okay, let's proceed to the next area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#4abc1fff b,#9fe290ff c,#18d310ff d,#e0f5daff e,#81d96eff f,#beeab3ff g,#64cd49ff ``` ```image eaaaaag eaaaaae eaaaaae gaaaaab gaaaaab aaaaaab aaaaaaf aaaaaaf daaaaaaf daaaaaad daaaaaad faaaaaa faaaaaa faaaaaa d baaaaag ced baaaaag ccce eaaaaag cccccb eaaaaae ccccccaf gaaaaae ccccccccgf gaaaaab ccccccccccgd gaaaaab cccccccccccced aaaaaaf deccccccccccccb aaaaaaf dgccccccccccccb aaaaaaf fgcccccccccccaf daaaaaad facccccccccccgfaaaaaad bcccccccccccccaaaaad ecccccccccccccaaa deccccccccccccaa dgccccccccccccf facccccccccccgf bccccccccccccgd bcccccccccccced gcccccccccccccb gaaccccccccccce gaaaacccccccccd gaaaaaeaccccce aaaaaaf bcccc aaaaaaf ecb daaaaaaf d daaaaaad daaaaaad faaaaaa faaaaaa faaaaaa baaaaag baaaaag eaaaaag eaaaaae eaaaaae f gaaaaab af gaaaaab aad aaaaaab aaad aaaaaaf aaagd aaaaaaf aaaag daaaaaad aaaaag daaaaaad aaaaaae daaaaaad aaaaaaae faaaaaa gaaaaaaab faaaaaa daaaaaaaab baaaaaa ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4bbc1fff b,#99e18aff c,#18d411ff d,#ddf4d8ff e,#76d45fff f,#bdeab2ff g,#54ce3cff ``` ```image bbf aaa aaa aaa aaa aaa aaa daaa faaa faaa baae eaae eaab aaaf aaaf aaad aaa aaa aaa aaa aaa aaa daaa daaa dd faaa gaaab baag aaaaaaagf baae gaaaaaaaaaagf eaae baaaaaaaaaaaed gaab deaaaaaaaaaaab aaaf deaaaaaaaaaaab aaad fgaaaaaaaaaagf aaad baaaaaaaaaaaed ed aaa baaaaaaaaaacccc aaa deaaaaaccccccg aaa feccccccccce aaa bccccaccccccb aaa dcccceaaaccccccf aaa cccc gaaagccccccd daaa cccc aaaafecccccc faaa ccccd aaaad gcccccg faaa ecccb aaaad cccccce baag fcccg aaaa dccccccf eaae cccc aaaa fccccccd eaab cccc daaaa ecccccc gaab ccccd faaaa gcccccg aaaf gcccf baaaa cccccce aaad bcccg eaaag dccccccb aaa dcccc eaaae fccccccf aaa cccc gaaab bccccccd aaa cccc aaaaf ecccccc aaa gcccf aaaad gcccccg aaa bccce aaaad cccccce aaa dcccc aaaa dccccccb aaa cccc aaaa fccccccfaaa cccc daaaa bccccccaa ccccd faaaa gcccccc ecccb baaaa cccccce fcccg eaaag eccccccb cccc eaaae gaaccccd cccc gaaab aaafbcc ccccd aaaaf aaaf gcccf aaaad aaad bcccg aaaad aaa dcccc aaaa aaa cccc aaaa aaa cccc daaaa aaa gcccf faaaa aaa bccce baaaa aaa dcccc eaaag daaa cccc eaaae daaa cccc gaaab faaa ccccd aaaaf baag ecccb aaaad eaae fcccg aaaad eaab bcc aaaa gaab d aaaaaaaf daaaaaad faaaaa baaaa eaaa eag ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#bfd013ff b,#9ca499ff c,#e2e996ff d,#b1d7b1ff e,#eef2e3ff f,#9cc995ff g,#c6d652ff ``` ```image be bbb bbbb bbbb ebbbb aae ebbbb gaag dbbbd aaaa bbbbe caaaa bbbb aaaaa bbbb eaaaaa bbbb aaaaaa ebbbb aaaaaa ebbbb aaaaaaa dbbbd aaaeaaa bbbbe gaaa aaa bbbbe aaae aaa bbbb caaa aaae bbbb aaac aaae ebbbb eaaa aaac ebbbb aaag gaac dbbbd eaaa gaac bbbbe aaaa gaag bbbbe aaae caag bbbb gaaa caaa bbbb aaae eaaa ebbbb caaa eaaa ebbbb aaac aaa dbbbd eaaa aaa bbbbe aaag aaa bbbbe eaaa aaa bbbb aaaa aaa bbbb aaa aaa ega ebbbb gaaa aaa aaa ebbbb aaae aaa aaac dbbbd caaa aaae caaa bbbbe aaac aaae aaa bbbbe eaaa aaac aaac bbbb aaag gaac gaaa bbbb eaaa gaac aaa ebbbb aaaa gaag aaae ebbbb aaa caag gaag dbbbd eeeeeeeeeeeeeeeeeegaaaeeeeeeeeeeeeeecaaaeeee eaaa bbbbe fddddddddddddddddddaaafddddddddddddddfaaadddd aaa bbbbefdddddddddddddddddgaaaddddddddddddddddaaadddd aaac bbbbfdddddddddddddddddaaagddddddddddddddddaaadddd caaa bbbbddddddddddddddddfaaadddddddddddddddddaaadddd aaa ebbbbdddddddddddddddaaagdddddddddddddddddaaadddd aaae ebbbbddddddddddddddaaaddddddddddddddddddaaadddd gaag dbbbbddddddddddddaaaaddddddddddddddddddaaadddd eaaa bbbbfdddddddddddaaadddddddddddddddddddaaadddd aaa fbbbbddddddddddgaaadddddddddddddddddddaaadddd aaag fdbbbbdddddddddaaafdddddddddddddddddddaaadddd caaae fddbbbbdddddddgaaaddddddddddddddddddddaaabddd aaaaae fdddbbbbddddddaaagddddddddddddddddddddaaabddd gaaaaaa fddddbbbbddddfaaadddddddddddddddddddddaaafddd gaaaaag fddddfbbbbdddaaagddddddddddddddddddddbaaagddd aaaaaag fdddddbbbbfddaaadddddddddddddddddddddbgaagddd eaaaaaac fddddddbbbbdaaaaddddddddddddddddddddbbgaagddd eaaaaaac fdddddddbbbbaaaddddddddddddddddddddbbbgaagddd caaaaaac fddddddddbbaaaadddddddddddddddddddfbbbgaaaddd caaaaaae fdddddddddbaaafdddddddddddddddddddbbbbfaaaddd caaaaaae fdddddddddgaaadddddddddddddddddddbbbbddaaaddd gaaaaaa fdddddddddaaagddddddddddddddddddfbbbdddaaaddd gaaaaag fddddddddfaaabbdddddddddddddddddbbbbdddaaaddd aaaaaag fddddddddaaagbbddddddddddddddddbbbbddddaaaddd eaaaaaag fddddddddaaabbbbddddddddddddddbbbbdddddaaaddd eaaaaaac fdddddddaaaadbbbddddddddddddddbbbfdddddaaaddd eaaaaaac fdddddddaaaddbbbbddddddddddddbbbbddddddaaaddd caaaaaaefddddddgaaadddbbbfddddddddddbbbbdddddddaaaddd caaaaaaddddddaaafdddbbbbddddddddddbbbfdddddddaaaddd gaaaaaadddgaaadddddbbbfddddddddbbbbdddddddddddddd gaaaaaadaaagdddddfbbbdddddddbbbbddddddddddddddd aaaaaaaaadddddddbbbbddddddbbbdddddddddddddddd fdaaaaaagdddddddfbbbdddddbbbbdddddddddddddddd dfffaaaafffffffffbbbbfffbbbbfffffffffffffffff ege ebbb ebbbe bbbb bbbb ebbbbbbb bbbbbbe bbbbd bbbb bb ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bfd012ff b,#9ca399ff c,#e6eca7ff d,#bfc3bdff e,#ebeddfff f,#c4d240ff g,#d8e273ff ``` ```image eaaaaaag caaaaaa gaaaaaae caaaaaa eaaaaaaf eaaaaaa gaaaaaac eaaaaaae aaaaaaf eaaaaaae caaaaaac aaaaaae d faaaaaa aaaaaac bd caaaaaag aaaaaac bbe faaaaaae faaaaac bbbe eaaaaaag faaaaac bbbbe gaaaaaae faaaaag bbbbb eaaaaaaf faaaaag bbbbbd gaaaaaac gaaaaag bbbbbbd aaaaaaf gaaaaag bbbbbbbd caaaaaac gaaaaag dbbbbbbbe faaaaaa gaaaaaf bbbbbbbbe caaaaaag caaaaaf ebbbbbbbbe faaaaaae caaaaaf ebbbbbbbb eaaaaaag caaaaaa ebbbbbbbd gaaaaaae caaaaaa dbbbbbbbd eaaaaaaf eaaaaaae dbbbbbbbd gaaaaaac eaaaaaabd dbbbbbbbe aaaaaaf eaaaaaabbd bbbbbbbbe caaaaaac aaaaaabbe ebbbbbbbbe faaaaaa aaaaaabd ebbbbbbbb caaaaaag daaaaaab ebbbbbbbd faaaaaae ebaaaaaac dbbbbbbbd eaaaaaag bbaaaaaac dbbbbbbbd gaaaaaae dbbfaaaaac dbbbbbbbe eaaaaaaf ebbbfaaaaag bbbbbbbbe gaaaaaac bbbbfaaaaag ebbbbbbbbe aaaaaaf dbbbbfaaaaag ebbbbbbbbcaaaaaac ebbbbbfaaaaag ebbbbbbbaaaaaaa ebbbbbbfaaaaaf dbbbbbbaaaaaag dbbbbbbfaaaaaf dbbbbfaaaaaae dbbbbbbbcaaaaaf dbbbaaaaaag ebbbbbbbdcaaaaaa ebbfaaaaaae dbbbbbbd caaaaaa dbaaaaaaf dbbbbbbbe eaaaaaa faaaaaac ebbbbbbbe eaaaaaae aaaaaaad bbbbbbbd eaaaaaae caaaaaafb dbbbbbbb aaaaaae faaaaaabbd ebbbbbbbe aaaaaac caaaaaafbbbe bbbbbbbd aaaaaac faaaaaabbbbd dbbbbbbb faaaaac eaaaaaafbbbbbe ebbbbbbbe faaaaac gaaaaaabbbbbbd bbbbbbbd faaaaac eaaaaaafbbbbbbbe dbbbbbbb faaaaag gaaaaaacebbbbbbd ebbbbbbbe gaaaaag aaaaaaf dbbbbbbe bbbbbbbd gaaaaag caaaaaac ebbbbbbd dbbbbbbb gaaaaag faaaaaa dbbbbbbe ebbbbbbbe gaaaaaf caaaaaag ebbbbbbb ebbbbbbbd caaaaaf faaaaaae dbbbbbbe dbbbbbbd caaaaaf e eaaaaaag ebbbbbbb dbbbbbbbe caaaaaa age gaaaaaae dbbbbbbd ebbbbbbbd caaaaaf aaage eaaaaaaf bbbbbbb dbbbbbbd ee aaaaag gaaaaaac dbbbbbbd dbbbbbbbe aaaaaaac aaaaaaf bbbbbbb ebbbbbbbe aaaaaaaafc caaaaaac dbbbbbbd bbbbbbbd aaaaaaaaaaffaaaaaa bbbbbbbe dbbbbbbb faaaaaaaaaaaaaaaag dbbbbbbd ebbbbbbbe caaaaaaaaaaaaaaae bbbbbbbe bbbbbbbd gaaaaaaaaaaaag ebbbbbbd dbbbbbbb gaaaaaaaaaae bbbbbbbe ebbbbbbbe ``` <!-- end of image --> Area A contains 2 intersections. Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#bfd012ff b,#9da399ff c,#e0e88fff d,#bec2bcff e,#e8ebd1ff f,#c3d132ff g,#d1dd5cff ``` ```image be bbb bbbb bbbb ebbbb aae ebbbd gaaf dbbbd aaaa bbbbe caaaa bbbb aaaaa bbbb eaaaaa bbbb aaaaaa bbbb aaaaaa ebbbd faafaaa dbbbd aaa aaa bbbbe gaaa aaa bbbb aaae aaa bbbb caaa aaa bbbb aaac aaae bbbb eaaa aaae ebbbb aaag faac dbbbd aaa gaac bbbbe faaf gaag bbbb aaa caag bbbb gaaa caaf bbbb aaae eaaa bbbb caaa eaaa ebbbb aaac aaa dbbbd eaaa aaa bbbbe aaag aaa bbbb aaa aaa bbbb faaf aaa bbbb aaa aaa efa bbbb gaaa aaa aaa ebbbb aaae aaa aaac dbbbd caaa aaa caaa bbbbe aaac aaae aaa bbbb eaaa aaae aaae bbbb aaag faac gaaf bbbb aaa gaac aaa bbbb faaf gaag aaa ebbbb aaa caag faag dbbbd gaaa caaf eaaa bbbbe aaae eaaa aaa bbbb caaa eaaa aaac bbbb aaac aaa caaa bbbb eaaa aaa aaa bbbb aaag aaa aaae ebbbb aaa aaa gaaf dbbbd faaf aaa aaa dbbbe aaa aaa aaa bbbbe gaaa aaa faag bbbb aaae aaa eaaae bbbb caaa aaab aaaaa bbbb aaac aaabe gaaaaaf ebbbb eaaa aaab faaaaaf dbbbd aaag bfaac aaaaaag dbbbe aaa ebfaac aaaaaac bbbbefaaf bbfaag eaaaaaac bbbbaaa bbbfaag eaaaaaae bbfaaa ebbbcaaf caaaaaae baaae bbbdeaaa caaaaaa faaa bbbb eaaa gaaaaaa aaag dbbb aaa faaaaaf eaaabb bbbd aaa faaaaag aaafbbe bbbb aaa aaaaaag eaaabbbb dbbb aaa eaaaaaac aaaf bbbe bbbd aaa eaaaaaac aaa dbbb bbbb aaa caaaaaae gaaa bbbe dbbb aaa caaaaaae aaae dbbb ebbbe aaa gaaaaaa caaa bbbd bbbb gaaaaaf aaac dbbb bbbb faaaaaaaa bbbd ebbbe aaaaaag ebbb bbbb eaaaa bbbd bbbb efe ebbb ebbbe bbbb bbbb bbbbbbb bbbbbb bbbbd bbbb bb ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#bcf91aff b,#0aba23ff c,#e3fba8ff d,#92ce92ff e,#b1d7b1ff f,#46c654ff g,#bced5dff ``` ```image a ac aa aa aa acc a a a a a g g cc g a g a cc g cc cg deeeeeeeeeeeeeeeeeeeeeeeeeggeeeaeeeeeeeeeeeeeeeeeee deefdeeeeeeeeeeeeeeeeeeeeegeeeeaeeeeeeeeeeeeeeeeeee dbbfdbeeeeeeeeeeeeeeeeeeeeeaeeeegeeeeeeeeeeeeeeeeeee dbbfedeeedbeeeeeeeeeeeeeeeeeeaaeeeeeegeeeeeeeeeeeeeeeeee dbbfe deeeefdeeeeeeeeeeeeeeeeageeeeeeeaeeeeeeeeeeeeeeeeee dbbfe deeeeebeeeeeeeeeeeeeegaeeeeeeeeeaeeeeeeeeeeeeeeeeee dbbfe deeeeedbeeeeeeeeeeeeageeeeeeeeeegeeeeeeeeeeeeeeeeee dbbbe deeeeeeffeeeeeeeeegaeeeeeeeeeeeeegeeeeeeeeeeeeeeeee dbbbe deeeeeeebeeeeeeeeageeeeeeeeeeeeeeaeeeeeeeeeeeeeeeee ebbbd deeeeeeeebeeeeedaeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeee f deeeeeeeeffeeeaaeeeeeeeeeeeeeeeeegdeeeeeeeeeeeeeeee ed deeeeeeeeebeeageeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeee ed deeeeeeeeeebaeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeee de deeeeeeeeeefaeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeee dc deeeeeeeeeeabeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeeee f deeeeeeeeeggebeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeee f deeeeeeeeeaeeffeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeee ddddddbdddddddddde deeeeeeeeggeeebeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeeeeaeeeeebeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeeeaeeeeeeffeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeeeaeeeeeeebdeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeeaeeeeeeeeebeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeeaeeeeeeeeedfeeeeeeeeeeeeeeeeeggeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeeaeeeeeeeeeeebdeeeeeeeeeeeeeeeeeaeeeeeeeeeeeee eeeeeebeeeeeeeeeed deeeeggeeeeeeeeeeeebeeeeeeeeeeeeeeeeeaeeeeeeeeeeeee eeeeeefeeeeeeeeeed deeeeaeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeaeeeeeeeeeeeee eeeeedfeeeeeeeeeed deeeggeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeggeeeeeeeeeeee eeeeedfeeeeeeeeeed deeeaeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeaeeeeeeeeeeee eeeggddeeeeeeeeeed deeadeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeaeeeeeeeeeeee eeeeafdeeeeeeeeeed deeaeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeaeeeeeeeeeeee eeeeeadeeeeeeeeeed deaeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeggeeeeeeeeeee eeeeefaeeeeeeeeeed deaeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeaeeeeeeeeeee eeeeebaeeeeeeeeeed daeeeeeeeeeeeeeeeeeeeeeefdeeeeeeeeeeeeeaeeeeeeeeeee eeeeebeaeeeeeeeeed daeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeaeeeeeeeeeee eeeeebeeaeeeeeeeed aeeeeeeeeeeeeeeeeeeeeeeeedbeeeeeeeeeeeedgeeeeeeeeee eeeeebeeggeeeeeeed cgeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeeeeeaeeeeeeeeee eeeeebeeeaeeeeeeed adeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeaeeeeeeeeee eeeeebeeeeaeeeeeed gcdeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeegeeeeeeeeee eeeeebeeeeggeeeeed a deeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeeeegeeeeeeeee eeeeebeeeeeaeeeeed gc deeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeaeeeeeeeee eeeeebeeeeeeaeeeed a deeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeeaeeeeeeeee eeeeefeeeeeedaeeed a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeegeeeeeeeee eeeedfeeeeeeeageed a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeegeeeeeeee eeeedfeeeeeeeeaeed a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeaeeeeeeee eeeefdeeeeeeeedaed cg deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeeaeeeeeeee de gg a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeegeeeeeeee f a cc deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeegeeeeeee f a a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffeeeeeeeaeeeeeee b cg gc deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeeaeeeeeee b ac a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeegdeeeeee b a a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfeeeeeeaeeeeee b a a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeeaeeeeee b gc a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeaeeeeee b a a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeeggeeeee b a a deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeeeaeeeee b cgcg deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeaeeeee f aa deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeaeeeee f c deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdeeggeeee ed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeaeeee ed deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeaeeee de deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdedeeee fc deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeee f deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbeeeee b deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdeeee b deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeee deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee deeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#befa1eff b,#06b920ff c,#d7fc74ff d,#79d986ff e,#e7f9d2ff f,#42ca4fff g,#abe7b4ff ``` ```image bf bf ebf ebd gbd gbd gbg gbg dbg dbe dbe fbe fb fb bb bf bf bf ebd ebd ee gbd eaa gbd cac gbg aaedbg eaadbg caabe cafe eaae faa faac bfaae bfeaa bf cac ebf aae ebd eaae ebd cac gbd cac gbg aae gbg eaa dbg cac dbg aae dbe eaa fbe cac fb cae fb eaae fb eaa bf cac bf aae bf eaa ebf cac ebd aae gbd eaae gbd cac gbg cac dbg aae ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Right then, let's explore the next spot. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#befb19ff b,#0aba23ff c,#e0fc94ff d,#99e2a3ff e,#e5f9d3ff f,#47cb5aff g,#cffb54ff ``` ```image ca eag ca aa ca cac dde ca eag dfbbbb ga aa bbbfddbf egag ga ebbe egae ea dbf caa a fbd gaac ge ebb eage cc fd eaag a ebe caac ae bf eaae ac fbd cag ag ebbe gaa aa fb gac cac ebe eaae ag df caac ga bd eaae cae dbf gaa ag fbdgag ga bbag cae ebae eac abe ga cabb ca aadbf ea cac fbd a gac db cc aa fd ec ae ebe g eg bf a ca ebbe ag aa dbf aa cac fb gae aa ebe cac aa bd aa ac bbe gae eg dbf cac ge fbd eag ga db ga cag fd ca aae be ea cac bf a aa fbd ge aa ebf eg ac fbd a eg bb ae ge eb ac ga bd ga cag bb cae aae dbf eac cac fbd ag ac db cae ea fd eac gc ebe ag ea bf ga ag ebbe ea ae dbf a g fb g ebe cc bd a bbe ae dbf ac fbd ag db gae fd cac be eag bf aa bbe cac ebb eag db aa fd ga eb ca fbd a ebb ge dbf cc fbd g db ae fd ac ebe ag bf ga ebbe eac dbf ag fb ga ebe cae bd ag bbe ga dbf ca fbd ea db ge fd cc be eg bb a fbd ac ebb ag db aa fd gae bf eag fbd e ebbe dbf fb df bd bbe dbf ``` <!-- end of image --> Area B contains 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#befa17ff b,#0aba23ff c,#defc8aff d,#91e09bff e,#e1f8ccff f,#44ca55ff g,#cdfb4dff ``` ```image a ac aa aa ag aec a a a a a g g ec g a ec a ec g cc ec ce a de ce a dbbfeb ea ge dbbfe eb ga eg dbbfd fd ac a dbbfd b ca a dbbfd eb ac ge dbbbd fd ca g dbbbd b ag a dbbbd b eae a f fd gg ce ed b ae g dd ba a dd da a fe ab ce f cc b g f a df a b ge b a b a b ce b ae df a b a be a b a b a b eg df cc b a be a b cg b a f a ef a ef cc be cc e ed a b a ccdd ge eb a ade a fe g ae a b ec fg a eb a bae a fd a b a eg b g b ea a eb ec b gc cc fd a b a a b a b a cc eb g b cg a fd eg b ae ge b a f a a b a f eg a dd ge ed ge a b eg dd a a b a dd a eg df a de cc a b ce f a cc b g f a a df a b cg ge be a b ae a b ce b a ge df g b ea a be a b gc a b a b a eg df ce b a a be g b cgeg b a f aa eb a ef e fe cc ed b a dd eb a de fd e fe b f eb b fd b b ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3d092ff b,#3f9dbbff c,#cee5cfff d,#b2d7b1ff e,#eff6efff f,#75b8b9ff g,#a6d1a7ff ``` ```image ac ac ad eaagce ad aaaaaaaaagce ad ag ecaaaaaaaadce ag eae ecaaaaaaaadce aa ga ecaaaaaa aa aa da aa eac eae aa da ac aa aa aa aa ac aa aa ca da aa aa ca ga ad eac da cae ad daaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae aa dadddddddddddddddddddddddddddddddddddddddaaddddddge aa daddddddddddddddddddddddddddfbgdddddddddgagddddddge da caddddddddddddddddddddddddddbbbdddddddddaadddddddge eae caddddddddddddddddddddddddddbbbbddddddddaadddddddge ac caddddddddddddddddddddddddddbbgbbdddddddagdddddddge ag caddddddddddddddddddddddddddbbdfbbdddddaaddddddddge aa caddddddddddddddddddddddddddbfddfbbddddaaddddddddge ga eaddddddddddddddddddddddddddbfdddbbfdddagddddddddge ca eagddddddddddddddddddddddddfbgddddbbgdgadddddddddge eae eagddddddddddddddddddddddddfbddddddbbdaadddddddddge ad eagddddddddddddddddddddddddbbdddddddbbaadddddddddge aa eagddddddddddddddddddddddddbbdddddddgbbddddddddddge aa eagddddddddddddddddddddddddbbddddddddfbbdddddddddge da eagddddddddddddddddddddddddbbddddddddafbfddddddddge ca eaaddddddddddddddddddddddddbfdddddddgagbbfdddddddge ac eaadddddddddddddddddddddddgbfdddddddaaddbbgddddddge ad eaadddddddddddddddddddddddfbddddddddaadddbbddddddge aa eaadddddddddddddddddddddddfbddddddddagddddbbdddddge aa eaadddddddddddddddddddddddbbdddddddaadddddgbbddddge ca eaadddddddddddddddddddddddbbdddddddaaddddddfbbdddge eae eaadddddddddddddddddddddddbbdddddddagdddddddfbfddge ac eaadddddddddddddddddddddddbbddddddgadddddddddbbfdge aa eaadddddddddddddddddddddddbfddddddaaddddddddddbbgge aa eaaddddddddddddddddddddddgbgddddddaadddddddddddbbge da eaaddddddddddddddddddddddfbddddddgadddddddddddddbbe ca eaaddddddddddddddddddddddfbddddddaadddddddddddddgbb ac eaaddddddddddddddddddddddbbddddddaaddddddddddddddfbb ad eaaddddddddddddddddddddddbbdddddgadddddddddddddddgfbf aa eaaddddddddddddddddddddddbbdddddaadddddddddddddddgebbc aa eaaddddddddddddddddddddddbbdddddaadddddddddddddddge bbe da eaaddddddddddddddddddddddbfdddddagdddddddddddddddge bb eae eaadddddddddddddddddddddgbgddddaaddddddddddddddddge ebb ac egadddddddddddddddddddddfbdddddaaddddddddddddddddge cbb ag egadddddddddddddddddddddfbdddddagddddddddddddddddge dbb aa egadddddddddddddddddddddbbddddgadddddddddddddddddge fbf ga egadddddddddddddddddddddbbddddaadddddddddddddddddge bbc ca egadddddddddddddddddddddbbddddaadddddddddddddddddge bbe eae egagddddddddddddddddddddbfdddgaddddddddddddddddddge bb ad egagddddddddddddddddddddbfdddaaddddddddddddddddddge ebb aa egaagddddddddddddddddddgbgdddaaddddddddddddddddddge cbb eeeeeeeeeaaeeeee eggaaadddddddddddddddddfbdddgadddddddddddddddddddge dbb aggggggggaaggggg egddgaaadddddddddddddddfbdddaadddddddddddddddddddge fbf addddddddgaddddd egddddaaaadddddddddddddbbdddaadddddddddddddddddddge bbc adddddddddagdddd egddddddaaagdddddddddddbbdddagdddddddddddddddddddge bbe adddddddddaadddd bfddddddddaaagdddddddddbbddaaddddddddddddddddddddge bb adddddddddaadddd bbfdddddddddaaagdddddddbfddaaddddddddddddddddddddge ebbadddddddddaadddd ebbbdddddddddgaaaddddddbfddagddddddddddddddddddddge cbbdddddddddgadddd egbbbddddddddddgaaadddgbgdgadddddddddddddddddddddge fbbdddddddddadddd egdfbbdddddddddddaaaadfbddaadddddddddddddddddddddge bbfddddddddagddd egddgbbgdddddddddddaaabbddagdddddddddddddddddddddge abbfdddddddddddd egddddbbfddddddddddddabbggaddddddddddddddddddddddge adbbgddddddddddd egdddddbbbddddddddddddbbaaaddddddddddddddddddddddge addbbddddddddddd egddddddbbbdddddddddddbbgaaddddddddddddddddddddddge addgbbdddddddddd egdddddddfbbddddddddddbfdddddddddddddddddddddddddge adddfbbddddddddd egddddddddgbbgddddddddbfdddddddddddddddddddddddddge addddfbbdddddddd egddddddddddbbfddddddgbgdddddddddddddddddddddddddge adddddbbfddddddd egdddddddddddbbbdddddfbddddddddddddddddddddddddddge aggggggbbfgggggg egddddddddddddbbbddddbbddddddddddddddddddddddddddge eeeeeeeebbeeeeee egdddddddddddddfbbdddbbddddddddddddddddddddddddddge bb egddddddddddddddgbbgdbbddddddddddddddddddddddddddge ebb egddddddddddddddddbbfbbddddddddddddddddddddddddddge cbf egdddddddddddddddddbbbfddddddddddddddddddddddddddge c egddddddddddddddddddbbfddddddddddddddddddddddddddge eggggggggggggggggggggggggggggggggggggggggggggggggge eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#a7d192ff b,#3d9cbcff c,#c7e1baff d,#97cadbff e,#e4f0e6ff f,#6ab3c9ff g,#c2dfe9ff ``` ```image aac caaa aac aaac aac eaaae aac ebg aaac aac dbbg aaae aaa fbbbe aaa aaa fbbbf aac aaa bbbbbf eaae aaa bbbbbbd caa aaa ebbgfbbbd aac aaa dbb gbbbg eaa aaa dbf gbbbe cac aaa fbf dbbf aac aaa fbd fbbf eaae aaa bbd bbbd caa aaa bbg fbbbd aaa aaa gbb gbbbb caaa aaa dbb gbbbe aaac aaa dbb dbbf eaaae aaa fbb fbbfcaaa aaa fbb fbbfaac aaa bbb ebbbfae aaa bbb bbbba aaa gbbb fbbbbe caa dbbb eafbbbf caa dbbf caafbbb caa fbbf aaacfbbd caa fbbd aaaeebbbd caa bbbd aaa ebbbg caa ebbbg aac gbbbe caa gbbb caa dbbbf caa dbbb aac fbbbf caa dbbf eaae fbbb eaa fbbf caa ebbbd eaa fbbd cac ebbbg eaa bbbg aac gbbbe eaa gbbbe caa bbbf eaa gbbb aaa fbbbf eaae dbbb eaaa fbbbd eaae dbbf caaa ebbbbd eaae fbbf aaac ebbbb aae fbbd eaaae gbbbe aae bbbg caaa dbbbe aae gbbbe eaaae fbbf aae gbbb caaa bbb aae dbbb caac bbb aac dbbf aaac ebb aac fbbd aaae gb aac bbbd aaa d cac bbbg eaae cac bbbe caa cac bbb aac cac bbf eaae cac bbf caa cac bbd aac caa bbd eaae caa ebbg caa caa gbbe aaa eaa gbb eaaa eaa dbf caaa eaa fbf aaac eaa fbd eaaae eaa bbd caaa eaae ebbg eaaae eaae gbbe caaa eaae dbb aaac aae dbf eaaae aae fbf caaa aae fbd caac aac bbg aaae aaaae ebbe aaa caaaaae gbb aac aaaaaac dbb eaae eaaaaac dbb caa caaaaac fbb aac caaaaae fbb eaae ecaaaace bbb aac eaaaaace ebbb eaae e caaaaac gbbb caa bg aaaaaac dbbb caa bbd caaaaae dbbf aaa bbb ecaaaace fbbf eaaa gbbbfe eaaaaac bbbd aaac efbbbg caaaaac ebbbg eaaae bbbbd caaaaae gbbbe caaa dbbbbd ecaaaaae gbbb aaac dbbbbf eaaaaace dbbb eaaae gbbbbe eaaaaaa dbbf caaa ebbbbg caaaaafbbf aaac fbbbd ecabbbfecaaa bbbbf abbbaaaaac gbbbbf gbbbaaaaae ebbbbg gbbbaaaaa efbbbg dbbb caac fbbbd dbbf cce dbbbf fbbf ebbbbbg bbbg efbbbb bbbg fbbbd bbbe dbbbf bbb gbbbfe bbb gbbbbe bbf fbbbb bbd dbbbf bbg gbbbfe ebbg gbbbbe gbbe ebbbbg gbb fbbbbddbf dbbbbbbf gbbbbd efbbg ff ``` <!-- end of image --> My analysis confirms the presence of 2 intersections in area A. Right then, let's explore the next spot. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#a7d193ff b,#3c9cbcff c,#cbe3beff d,#b3d8e5ff e,#e3f0e9ff f,#57a9c5ff g,#80bed3ff ``` ```image aaae aaac caac caaa eaaa eaaae aaac aaac caaa caaa eaaae aaae d aaac bd caac bbe caaa bbfe eaaa bbbf eaaae gbbbg aaac fbbbg aaac efbbbd ee ebbbbd dbbbbe dbbbfe gbbbf gbbbg fbbbg efbbbd ebbbbd dbbbbe dbbbfe gbbbf gbbbg fbbbg efbbbd ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 2; B: 0; 2 + 0 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a6d191ff b,#3d9cbcff c,#d1e7c7ff d,#a3d0dfff e,#e2efe9ff f,#68b2c9ff g,#bbdbabff ``` ```image ac ac ag eaagce ag aaaaaaaaagce ag aa ecaaaaaaaagce aa eae ecaaaaaaaagce aa ga ecaaaaaa aa aa ga aa ac eae aa ga ac aa aa aa aa ac aa aa ca ga aa aa ca ga ag ae ga ca ag ga aa aa ga aa aa ca dbe eae ga ca fbb aa ea ca bbbb aa ac ca bbebb ac ag ea bf dbb ga aa eae bd fbf aa ga eae bd fbd ac ca ae db bbe ca eae ae db bb aa ag ac fb bbag aa ac bb ebb aa ac bb fbb ga ag bf afbf ea ag bd eaebbd ac ag ebe aa bbe ag ag db aa bb aa aa db eac bb aa aa fb ga ebb ca aa bb aa dbb eae aa bb ac fbf ac aa bf ca bbd aa aa bd aa bbe aa aa ebe ag bb ga aa db ca bb ca aa fb aa ebb ae ga bb ag dbb ag ga bb eae fbf aa ga bb aa bbd aa ga bf aa bbe ga ca bd eac bb eae ca ebe ga bb ac ca db aa ebb ag ea fb ac dbf aa ea bb ca fbf ga eae bb aa bbd ca eae bb ag bbe ae ae bf ca bb ag ac bd aa bb aa aae ebe ag ebb aa eaaae db eae dbf ga caaa fb aa fbf ea gaag bb aa bbd ac gaag bb eae bbe ag be aaac bb ga bb aa bbd eaaae bf aa ebb aa bbf caaa bd ac ebb ca fbb caaa ebe ga dbf eae dbb gaag db aa fbd ac ebbe aaafb ag bbd bbd eabbeca bbe bbf bbaaa bb fbb bbcag ebb dbb bf ebb ebbe bd dbf bbd ebe fbd bbf db bbe fbb fb bbe dbb bb bb ebbe bb ebb bbdbf dbf bbbd d fbd e ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for 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,#b7078fff b,#87f950ff c,#cc97bdff d,#9ad28dff e,#b7549aff f,#eff5edff g,#b1d7b1ff ``` ```image fc ffffffffffffffffffffffffffffffffffffffffffffaaafff fdgggggggggggggggggggggggggggggggggggggggggggaaaggd fggggggggggggggggggggggggggggggggggggggggggggaaaggd fgggggggggggggggggggggggggggggggggggggggggggeaadggd fgggggggggggggggggggggggggggggggggggggggggggaaabggd fgggggggggggggggggggggggggggggggggggggggggggaaabggd fggggggggggggggggggggggggggggggggggggggggggeaadbggd fggggggggggggggggggggggggggggggggggggggggggaaabdggd fggggggggggggggggggggggggggggggggggggggggggaaabgggd fgggggggggggggggggggggggggggggggggggggggggeaadbgggd fgggggggggggggggggggggggggggggggggggggggggaaabbgggd fgggggggggggggggggggggggggggggggggggggggggaaabdgggd fggggggggggggggggggggggggggggggggggggggggeaaebggggd fggggggggggggggggggggggggggggggggggggggggaaabbggggd fggggggggggggggggggggggggggggggggggggggggaaabbggggd fgggggggggggggggggggggggggggggggggggggggcaaebdggggd fgggggggggggggggggggggggggggggggggggggggaaabbgggggd fgggggggggggggggggggggggggggggggggggggggaaabbgggggd fggggggggggggggggggggggggggggggggggggggcaaebbgggggd fggggggggggggggggggggggggggggggggggggggaaabbdgggggd fggggggggggggggggggggggggggggggggggggggaaabbggggggd fae fggggggggggggggggggggggggggggggggggggggaaabbggggggd aaaaaf fgggggggggggggggggggggggggggggggggggggeaadbbggggggd eaaaaaac fgggggggggggggggggggggggggggbdggggggggaaabbdggggggd caaaaaac fggggggggggggggggggggggggggbbbggggggggaaabbgggggggd caaaaaae fgggggggggggggggggggggggggbbbbbggggggeaadbbgggggggd faaaaaaaf fggggggggggggggggggggggggbbbbbbggggggaaabbbgggggggd eaaaaaac fgggggggggggggggggggggggbbbbbbbdgggggaaabbggggggggd caaaaaae fggggggggggggggggggggggbbbbggbbbggggeaaebbggggggggd faaaaaaaf fgggggggggggggggggggggbbbbgggbbbggggaaabbbggggggggd eaaaaaac fggggggggggggggggggggdbbbdgggdbbbgggaaabbbggggggggd caaaaaac fgggggggggggggggggggdbbbdgggggbbbggcaaebbgggggggggd caaaaaae fggggggggggggggggggdbbbdggggggbbbdgaaabbbgggggggggd faaaaaaaf fgggggggggggggggggdbbbdggggggggbbbgaaabbbgggggggggd eaaaaaac fgggggggggggggggggbbbbgggggggggbbbcaaebbbgggggggggd caaaaaaeggggggggggggggggbbbbggggggggggdbbaaadbbggggggggggd faaaaaaagggggggggggggbbbbggggggggggggbbaaabbbggggggggggd aaaaaaacgggggggggbbbbgggggggggggggbbaaabbbggggggggggd eaaaaaaeggggggbbbbgggggggggggggggeaadbbdggggggggggd fgcaaaaaaegggbbbbggggggggggggggggaaabbbgggggggggggd fggggaaaaaaabbbbgggggggggggggggggaaabbbgggggggggggd fggggggeaaaaaadgggggggggggggggggeaadbbbgggggggggggd fggggggggeaaaaaaegggggggggggggggaaabbbdgggggggggggd fggggggggbbdaaaaaaagggggggggggggaaabbbggggggggggggd fgggggggbbbbggaaaaaaacgggggggggeaaebbbggggggggggggd fggggggbbbbdggggeaaaaaaegggggggaaagdbdggggggggggggd fgggggdbbbdgggggggcaaaaaaegggggaaaggggggggggggggggd fggggdbbbdgggggggggggaaaaaaaggcaaeggggggggggggggggd fgggdbbbdggggggggggggggeaaaaaaaaagggggggggggggggggd fgggbbbbgggggggggggggggggeaaaaaaagggggggggggggggggd fggbbbbggggggggggggggggggggcaaaaegggggggggggggggggd fgbbbbggggggggggggggggggggggggaaggggggggggggggggggd fbbbbgggggggggggggggggggggggggggggggggggggggggggggd bbbbggggggggggggggggggggggggggggggggggggggggggggggd bbbbgggggggggggggggggggggggggggggggggggggggggggggggd bbbbfffffffffffffffffffffffffffffffffffffffffffffffff bbbb bbbb bbbb bbbbf dbbbf gbbbf gbbbg fbbbg fbbbd fbbbd fbbbb bbbb fbbbb fbbbbb fbbbbbb fbbbbbbf bbbbbbf bbbbbbf bbbbbbf dbbbbbg dbbbbbg gbbbbbd gbbbbbd bbbbb fbb ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#b7078fff b,#86fa4fff c,#e2a2d3ff d,#abfa84ff e,#c44fa4ff f,#d6fdc4ff g,#9a9a69ff ``` ```image aaaaaa caaaaae caaaaac eaaaaa aaaaae caaaaac eaaaaac aaaaaabb caaaaagbb eaaaaagbd aaaaaabbf caaaaaebb eaaaaagbb aaaaaabbd caaaaaebbf eaaaaagbb aaaaaabbd caaaaaebbd caaaaagbbf aaaaaabbb aaaaaabbd caaaaagbbd eaaaaabbbf aaaaaabbb caaaaagbbd eaaaaagbbd aaaaaabbbf caaaaagbbb eaaaaagbbd aaaaaabbbd caaaaaebbbf eaaaaagbbb aaaaaabbbd caaaaaebbbd eaaaaagbbbf aaaaaabbbb caaaaaebbbd caaaaagbbbf eaaaaabbbbf aaaaaabbbb caaaaagbbbd eaaaaagbbbf aaaaaabbbbf caaaaagbbbb eaaaaagbbbd aaaaaabbbbf fddf caaaaaebbbbf fbbbbf eaaaaagbbbb fbbbbbb aaaaaabbbbd fbbbbbbbf caaaaaebbbbf fbbbbbbbbd eaaaaagbbbbf fbbbbbbbbbbf aaaaaabbbbb fbbbbbbbbbbbd caaaaaebbbbd bbbbbbbbbbbbb caaaaagbbbbf bbbbbbbddbbbbbf eaaaaabbbbbf bbbbbbbd fbbbbbd aaaaaabbbbb dbbbbbbb bbbbbb caaaaagbbbbd dbbbbbbb dbbbbbd eaaaaagbbbbf dbbbbbbbf fbbbbbb aaaaaabbbbbf dbbbbbbbf dbbbbbf caaaaagbbbbb dbbbbbbbf fbbbbbd eaaaaagbbbbd dbbbbbbbf bbbbbb aaaaaabbbbbf fbbbbbbbf dbbbbbf caaaaaebbbbb fbbbbbbbf fbbbbbb eaaaaagbbbbb fbbbbbbbf bbbbbbf aaaaaabbbbbd fbbbbbbbd fbbbbbd caaaaaebbbbbf fbbbbbbbd bbbbbb eaaaaagbbbbb fbbbbbbbd dbbbbbf aaaaaabbbbbb fbbbbbbbd fbbbbbdcaaaaaebbbbbd bbbbbbbd bbbbbbeaaaaagbbbbbf c bbbbbbbd dbbbbbaaaaaadbbbbb aec dbbbbbbb bbbbbaaaaaebbbbbb aaaac dbbbbbbb dbbbgaaaaaebbbbbd aaaaaae dbbbbbbb fbbbaaaaaadbbbbbf aaaaaaaaec dbbbbbbbf bbbaaaaaadbbbbb aaaaaaaaaaec dbbbbbbbf dbgaaaaaebbbbbb aaaaaaaaaaaaac dbbbbbbbf fbeaaaaacbbbbbd caaaaaaaaaaaaae fbbbbbbbf daaaaaadbbbbbf ceaaaaaaaaaaaaec fbbbbbbbf caaaaaedbbbbb ceaaaaaaaaaaaaac fbbbbbbbf eaaaaagbbbbbd caaaaaaaaaaaaaebbbbbbbd aaaaaabbbbbbd caaaaaaaaaaaaaegbbbd caaaaaebbbbbbf ceaaaaaaaaaaaaegd eaaaaagbbbbbb eaaaaaaaaaaaaac aaaaaabbbbbbd caaaaaaaaaaaaae caaaaaebbbbbbd bgaaaaaaaaaaaaaec eaaaaagbbbbbbf dbbbgeaaaaaaaaaaaaec aaaaaabbbbbbb dbbbbbbdeaaaaaaaaaaaaac caaaaaebbbbbbd dbbbbbbb caaaaaaaaaaaaaec caaaaacfbbbbbd dbbbbbbbf ceaaaaaaaaaaaaec eaaaaa bbbbbf dbbbbbbbf ceaaaaaaaaaaaaac aaaaae fbbbd dbbbbbbbf caaaaaaaaaaaaae caaaaac ff dbbbbbbbf ceaaaaaaaaaaaaec eaaaaac fbbbbbbbf ceaaaaaaaaaaaaec aaaaaa fbbbbbbbf eaaaaaaaaaaaaac caaaaae fbbbbbbbf caaaaaaaaaaaaaec eaaaaac fbbbbbbbd ceaaaaaaaaaaaaeaaaaaa fbbbbbbbd ceaaaaaaaaaaaaaaaae fbbbbbbbd caaaaaaaaaaaaaac bbbbbbbd ceaaaaaaaaaaa bbbbbbbd ceaaaaaaaae bbbbbbbd eaaaaaac dbbbbbbb caaac dbbbbbbb dbbbbbbb bbbbbbbf bbbbbbf bbbbbf bbbbf ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b7078fff b,#86fa4fff c,#e5abd7ff d,#aafa83ff e,#ca56aeff f,#dafdc9ff g,#989b66ff ``` ```image cc aaa aaa aae eaac aaab aaab eaagb aaabf aaab eaagb aaabd aaabf caagb aaabb aaabd caaebf aaabb aaabb caaabd eaabbf aaabb cae aaabb aaaaa eaagbd eaaaaaac df aaabbf eaaaaaae bbb aaabb caaaaaae bbbbd eaagbb aaaaaaac bbbbbb aaabbd eaaaaaac bbbbdbbf aaabbf caaaaaae dbbb bbb caagbb caaaaaaa dbbbf bbb aaabbb eaaaaaac dbbbf fbbd aaabbd eaaaaaae fbbbf bbb caaebbf caaaaaae fbbbf bbbf aaabbb aaaaaaa fbbbd bbb aaabbb eaaaaaac fbbbd bbbcaaebbd caaaaaae bbbd dbbaaadbb caaaaaaa bbbb bbaaabbb aaaaaaac bbbb bbaaabbb eaaaaaac bbbb feaacbbd caaaaaae bbbb aaadbb aaaaaaabbbb aaabbb eaaaaaag eaagbbb caaaaaae aaabbbd dbgaaaaaaa aaabbb dbbb aaaaaaac eaacbbb dbbbf eaaaaaac aaa fbd dbbbf caaaaaae aaa fbbbf aaaaaaa caae fbbbd eaaaaaaaaa fbbbd eaaaaaaa bbbd caaaae bbbb aa bbbb bbbb bbbb bbbb bbbb bbbb bbbb dbbb dbbbf dbbbf fbbbf fbbbd fbbbd fbbbd bbbd bbbb fbbbb fbbbbb fbbbbbb bbbbbb bbbbbbf bbbbbbf dbbbbbf dbbbbbf dbbbbbd dbbbbbd fbbbbbd bbbbd fbb ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#4a6ae8ff b,#da3785ff c,#193df4ff d,#d78baaff e,#edf1f1ff f,#b0d6b0ff g,#84a2daff ``` ```image d b b b be g be ec be cca be c c be ec cg be ag ec be c ce be c ec be ga ce be ce gc bd c c bd ec aa bd ag c dd c ag dd ec c dd aa cg dd ce ec dd c ce dd ga gc dd ce c dd c ga dd ec c dd ag ag dd c c db ec cg b aa ec eeeebdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ce ce ffffdbfffffffffffffffffffffffffffffff c gc fffffbfffffffffffffffffffffffffffffff ga c fffffdbffffffffffffffffffffffffffffff ce ga ffffffbffffffffffffffffffffffffffffff c eeeeeceeeeeeeeeeeeeeeee ffffffbdfffcfffffffffffffffffffffffff ec efffffaaffffffffffffffffe fffffffbfffcgffffffffffffffffffffffff ag effffffcffffffffffffffffe fffffffbffgacffffffffffffffffffffffff c effffffcgfffffffffffffffe fffffffdbfagcgfffffffffffffffffffffff ec efffffffcfffffffffffffffe ffffffffbfcffcfffffffffffffffffffffff aa efffffffcgffffffffffffffe ffffffffbdcffcgffffffffffffffffffffff ce efffffffgcffffffffffffffe fffffffffbcfffcffffffffffffffffffffff c effffffffcfffffffdffffffe fffffffffbcfffcgfffffffffffffffffffffga effffffffacfffffdbbfffffe fffffffffaaffffcfffffffffffffffffffffce efffffffffcffffdbfbbffffe fffffffffcbffffcgffffffffffffffffffffc efffffffffaaffdbfffbdfffe fffffffffcbdfffgcfffffffffffffffffffgc effffffffffcfdbfffffbdffe fffffffffcfbffffcgffffffffffffffffffcg effffffffffcgbfffffffbffe fffffffffcfbffffgcffffffffffffffffffc efffffffffffcfffffffffbfe ffffffffgafdbffffcffffffffffffffffffc effffffffffbcgffffffffdbe ffffffffagffbffffgcffffffffffffffffaa efffffffffbfgcfffffffffbb ffffffffcfffbdffffcffffffffffffffffcf effffffffbfffcffffffffffbb ffffffffcffffbffffgcfffffffffffffffcf efffffffbffffgcfffffffffebd ffffffffcffffbfffffcffffffffffffffgcf effffffbdfffffcfffffffffe be fffffffgcffffdbffffgcfffffffffffffcgf efffffbdffffffaaffffffffe fffffffaafffffbfffffcfffffffffffffcff effffbdffffffffcffffffffe fffffffcgfffffbdffffgcfffffffffffgcff efffbdfffffffffcgfffffffe fffffffcfffffffbfffffcfffffffffffagff effbdfffffffffffcfffffffe fffffffcfffffffbfffffacffffffffffcfff efbdffffffffffffcgffffffe fffffffcfffffffdbfffffcffffffffffcfff ebdfffffffffffffgcffffffe ffffffgcffffffffbfffffaaffffffffaafff bbfffffffffffffffcffffffe ffffffaaffffffffbdfffffcffffffffcffff bdffffffffffffffffgcfffffe ffffffcffffffffffbfffffaafffffffcffff bb eeeeeeeeeeeeeeeeeceeeee ffffffcffffffffffbffffffcffffffgcffff bb aa ffffffcffffffffffdbfffffaafffffcgffff bb c ffffffcfffffffffffbffffffcfffffcfffff bb cg fffffgafffffffffffbdfffffaafffgcfffff bb ec fffffcgffffffffffffbffffffcfffagfffff bb ce fffffcfffffffffffffbffffffaaffcffffff db ec fffffcfffffffffffffdbffffffcffcffffff db ce fffffcffffffffffffffbffffffcaaaffffff db gc ffffgcffffffffffffffbdffffffccfffffff db c ffffaafffffffffffffffbffffffccfffffff db aa ffffcgfffffffffffffffbdffffffafffffff db c ffffcffffffffffffffffdbbbbbdfffffffff db ag ffffcfffffffffffffffffffffdbbbbbdffff eb c ffffcffffffffffffffffffffffffffddbbbbdd eb cg eeegaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbe ec ag ce ce gc c ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#526cf6ff b,#da3284ff c,#193ef5ff d,#e774abff e,#f3bed8ff f,#c6cffcff g,#8d9ff9ff ``` ```image bbe dbd ebb bbd ebb bbe dbd ebb bbd ebb f bbe acg dbd ccc ebb cccg bbd fcccc ebb gcaccg bbe acggcc dbd acg ccg ebb ccf gcc bbd fcc ccg ebb fcc gcc bbegca ccg dbdacg gca ebbccf fccf bbccf gca ebcc fccf bca aca aca fccf acb aca ccbd fccf fccbb aca fccbbe fccf gcadbd aca acgebb fccf acg bbd aca ccf ebb fccf fcc bbe aca gca dbd fccf gca ebb aca f acg dbd fccf a ccf ebb acg c cc bbe fcc fc fcc dbd acg gc gca ebb gcc ac acg dbd ccg cc acg ebb gcc gcc ccf bbe ccg acg fcc dbd gcc ccf gca ebbe ccg fcc gca dbd gcc gca acg ebb ccg ccg ccf bbe gcc fcc ccf dbd ccg gca fcc ebbe gcc acg gca dbd ccg ccf acg ebb gcc gcc acg bbe ccg acg ccf dbd gca ccf fcc ebbe ccf fcc fcc dbd gca gca gca ebb fccf ccg acg bbe aca fcc ccf dbd fccf gca ccf ebbe aca acg fcc dbd fccf ccf gca ebb aca gcc gca bbe fccf acg acg dbd aca ccf ccf ebbe fccf fcc fcc dbd aca gca fcc ebb fccf ccg gca bbe aca fcc acg dbd fccf gca acg ebbe aca acg ccf dbd fccf ccf fcc ebb acg gcc gca bbe fccf acg gca dbd acg ccf acg ebbe gcc fcc ccf dbd ccg gca cc ebb gcc ccg fcc bbe ccacc gca dbd gccca acg ebbe cccg acg dbd gccf ccf ebbe aa fcc bbbbbddee gca edbbbbbbbbddee gca eddbbbbbbbbbdde acg eeddbbbbbbbbddee ccf eeddbbbbbbbbbde ``` <!-- end of image --> Success! This area contains 1 intersection point! Okay, let's direct our attention to the next zone. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#5a71f5ff b,#dc3283ff c,#1b3ff4ff d,#e36ba6ff e,#efa7caff f,#e7dcf2ff g,#9baaf9ff ``` ```image aca fccf aca gccf ccg gcc ccg gcc fccg aca fccf aca gccf ccg gcc ef ccg ebbe gcc ebbbbf fccg ebbddbbf aca ebbd fbbd fccf ebbd fbbd aca ebbd ebbd gccf ebbd ebbe ccg ebbd ebbe gcc ebbd dbbf ccgbbd dbbf gccbd fbbb fccd fbbd fbaca ebbd fbbbccf ebb fbbbfaca eb fbbbf gccf d fbbbf acg fbbbf gcc dbbf ccg dbbf gcc dbbf fccg dbbf aca dbbe fccf dbbe aca dbbe fccf dbbe aca dbbe gcc dbbe ccg dbbe gcc ebbe fccg ebbe aca ebbd fccf ebbd aca ebbd fccf ebbd aca bbd gccf bd ccg ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#5670f6ff b,#db3384ff c,#1a3ef5ff d,#e775acff e,#f3bdd7ff f,#c9d2fcff g,#93a3f9ff ``` ```image e b b b b g b fc b cca be c c be c cg be aa c be c cf be c fc be ga c be cf gc be c c de fc aa de cg c de c ag de c c dd aa cf dd c fc dd c cf dd ga gc dd cf c dd c aa dd fc c dd ag ag ed c c ed c cg b aa fc be c cf eb c gc b gc c dd cf ga b c c be c fc aa eb cg ag c b gac c cg dd agcg c fc b c c aa cf bec cg c fc ebc fc c c e bc cf gc gc dbb aa fc cf c eb bb cb cf c aa eb bd cbe fc fc c eb be ceb cf ag cgb b c b fc c ec eb ga dd cf c ebcf eb ag b fc aa b fc db c be cf c be c bb c eb gc c be gc bd c b c gc be c b fc dd gc cf be aa ga b c c be c cf be gc fc be cg c eb c ag bd c c b gc c bd cf c dd c c bd fc gc b aa aa bd c ag be c c bd gc cf eb aa c bd c c b c gc bb aa c dd aa cf bb c fc b c c bb cg ga be aa fc bb c cg eb c ag db cf c b aa c db fc c dd c c db c c b cgga db gc fc be cc db c ag eb cc db aa cf be a eb c c ebbbbde eb cg c edbbbbde eb c c edbbbbde eb cf ga dbbb fc ag cf c gc c ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#94cf95ff b,#3ade4dff c,#ced78aff d,#ddecc1ff e,#66df73ff f,#b1d7b1ff g,#eff7edff ``` ```image gg cc c cc cc cc d cc gccd dba ccg dccc fbbd dcg ccdc abebg dcd cdgc eb bb gcd c cg bb bb gcd gc cd be bb gcc dc cc ba be cc cc gc bf gbe cc cd c bg fbf cc cg cd b abg cc c cc gb ebg cc dc dc db bb cc cc c fb bb ccg cd cd ab bb dcg cg ccgggggggggggggggebggggggggggggbeggggggggggggggggggggggdcg c dcaffffffffffffffbbffffffffffffabefffffffffffffffffffffcd gc gcaffffffffffffffbefffffffffffffebafffffffffffffffffffcc dc caffffffffffffffbeffffffffffffffebffffffffffffffffffcca cc ccffffffffffffffbafffffffffffffffbbffffffffffffffffccfa cd ccffffffffffffffbaffffffffffffffffbbffffffffffffffccffa d gcffffffffffffffbffffffffffffffffffbbffffffffffffccfffa cffffffffffffffbfffffffffffffffffffbbffffffffffccffffa ccffffffffffffabfffffffffffffffffffabeffffffffccfffffa ccffffffffffffebffffffffffffffffffffabaffffffccffffffa ccffffffffffffebfffffffffffffffffffffebaffffccfffffffa acffffffffffffbbffffffffffffffffffffffbbfffccffffffffa acffffffffffffbbfffffffffffffffffffffffbbfccfffffffffa accfffffffffffbeffffffffffffffffffffffffbbcffffffffffa accfffffffffffbefffffffffffffffffffffffffbbffffffffffa afcfffffffffffbaffffffffffffffffffffffffccbefffffffffa afcfffffffffffbffffffffffffffffffffffffccfabeffffffffa afccffffffffffbfffffffffffffffffffffffccfffebafffffffa afccffffffffffbffffffffffffffffffffffccfffffebfffffffa affcfffffffffabfffffffffffffffffffffccfffffffbbffffffa affcfffffffffebffffffffffffffffffffccfffffffffbbfffffa affccffffffffebfffffffffffffffffffccfffffffffffbbffffa affccffffffffbbffffffffffffffffffccfffffffffffffbbfffa affccffffffffbbfffffffffffffffffccffffffffffffffabeffa afffcffffffffbeffffffffffffffffccffffffffffffffffabafa afffcffffffffbefffffffffffffffccffffffffffffffffffebaa afffccfffffffbafffffffffffffffccfffffffffffffffffffbba afffccfffffffbfffffffffffffffccfffffffffffffffffffffbb affffcfffffffbffffffffffffffccfffffffffffffffffffffffbb affffcffffffabfffffffffffffccffffffffffffffffffffffffabb affffccfffffabffffffffffffccfffffffffffffffffffffffffagbe affffccfffffebfffffffffffccffffffffffffffffffffffffffa dbf afffffcfffffebffffffffffccfffffffffffffffffffffffffffa abd afffffcfffffbbfffffffffccffffffffffffffffffffffffffffa ebg afffffcfffffbeffffffffccfffffffffffffffffffffffffffffa bb afffffccffffbefffffffccffffffffffffffffffffffffffffffa bb afffffccffffbaffffffccfffffffffffffffffffffffffffffffa bb affffffcffffbafffffccffffffffffffffffffffffffffffffffa gbe affffffcffffbffffffccffffffffffffffffffffffffffffffffa gba affffffccfffbfffffccfffffffffffffffffffffffffffffffffa fbf affffffccffabffffccffffffffffffffffffffffffffffffffffa ebg afffffffcffabfffccfffffffffffffffffffffffffffffffffffa eb afffffffcffebffccffffffffffffffffffffffffffffffffffffa bb afffffffccfebfccfffffffffffffffffffffffffffffffffffffa bb afffffffccfbbccffffffffffffffffffffffffffffffffffffffa bb affffffffcfbecfffffffffffffffffffffffffffffffffffffffa gbe affffffffcfbeffffffffffffffffffffffffffffffffffffffffa dbf affffffffccbaffffffffffffffffffffffffffffffffffffffffa f affffffffccbaffffffffffffffffffffffffffffffffffffffffa affffffffffbfffffffffffffffffffffffffffffffffffffffffa affffffffffbfffffffffffffffffffffffffffffffffffffffffa afffffffffabfffffffffffffffffffffffffffffffffffffffffa afffffffffabfffffffffffffffffffffffffffffffffffffffffa afffffffffebfffffffffffffffffffffffffffffffffffffffffa afffffffffebfffffffffffffffffffffffffffffffffffffffffa afffffffffbbfffffffffffffffffffffffffffffffffffffffffa afffffffffbefffffffffffffffffffffffffffffffffffffffffa afffffffffbefffffffffffffffffffffffffffffffffffffffffa afffffffffbafffffffffffffffffffffffffffffffffffffffffa bbbbeefdg afffffffffbafffffffffffffffffffffffffffffffffffffffffa dfeebbbbbbbbbbbbeeaabffffffffffffffffffffffffffffffffffffffffffa gfaeebbbbbbggggggggggggggggggggggggggggggggggggggggggg ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#8ceb96ff b,#39df4dff c,#d0d789ff d,#dfe4b0ff e,#60e46eff f,#b8f3bfff g,#eaf4dcff ``` ```image ebb gbbb g g bbe fbba gc d bbe fbbf gcc d gbbe abbf gccc c fbba bbbg gcccd cg fbba ebbeg cccd cg fbbf ebbe cccc cd abbf gbbbe cccc cc ebbg fbbbf cccg ccg ebb fbbbf dccg ccd bbb abbbg dccg ccc bbe ebbbg gccg ccc gbbe ebbe gccc dccg gbba gebbe gcccd gccd fbba gbbba gcccd gccd fbba fbbba gcccd ccc fbbf fbbbf gcccd dccg abbf abbbf cccd dccg abbg abbbg cccc gccd ebbg ebbe dccc ccc ebb ebb dcccg dcc bbb gbbe dcccg dccg bbe gbba dcccg gccd gbbe fbbfdcccg ccc fbba abbbcd dccg fbba gebbbg gccd abbf ccebbe gccd abbf gcccebbe ccc abbg ccd gbbba dccg ebbg ccc fbbba dccg ebb dcc fbbbf gccd bbb dccc abbbf ccc bbe dcccg abbbg dcc gbbe dcccg ebbeg dcc gbba dcccg ebbe gcc fbba gcccg gbbbe cc fbbf gcccd gbbba cc abbf gcccd fbbbf dcg abbf gcccd fbbbf gcd abbg gcccd abbb cc ebb cccc ebe dcg bbb cccc gebe dcg bbe dccc gbba gcd bbe dcccg bbba cc bba dcccg fbbbf cc bba cccg abbbf ccg bbf dccg abbbg ccd bbf gccg ebbeg ccd bbf gccd ebbe ccc bbg gccc gbbb dccg bb gcccd gbb gccg bb gcccd fb gccd be cccd f ccc be cccc dccg gbe dccc dccg fba dcccg ccc fbf dcccg ccc abf dcccg dccg abg gcccg gccd ebg gcccd gccd eb gcccd ccc bb gcccd dccg be gcccd gccg gbe cccd gccd gba ccc ccc fba dcc dcc fba dccg dccg fbf dccg gccd abf dccc ccc abg dcccg ccc ebg gcccg dccg eb gcccd gccd bb gcccd ccc gbb gcccd dccg gbb cccd dccg fbb cccc gccd fbb cccc ccc abb dccc dcc abb dcccg dccg abb dcccg gccd ebb dcccg ccc ebbdcccg ccc bbbcccg dccg bbeccd gccd gbbecd gccd gbbed ccc fbbe dccgabba gcccebbf cccebbg dccebbg ggebb bbb bbe gbbe gbba fbba fbbf abbf abbf ebbg ebb ebb bbe gbbe fbba fbba fbbf abbf abbg ebbg eeaafffg ebb ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8cec97ff b,#39df4dff c,#d0d789ff d,#e1e6b5ff e,#60e46eff f,#bcf3c3ff g,#ecf5e0ff ``` ```image gg cc c cc cc cc f cc gccg gba dcg dccc fbbf dcg ccdc abebg dcg cd c eb bb gcd c cg bb bb gcd gc cd be bb cc dc dc ba be cc cc gc bf gba cc cd c bg fbf cc cg cd b abg cc c cc b eb cc dc dc fb bb cc cc c fb bb cc cd cg ab bb dcg cg cc eb gbe dcg c dc be fba gcd gc gc be abf gcd dc cg ba ebg gcd cc cd bf bb cc cd dc bg bb cc g gc b bb cc c gb be cc cd fb gba cc cc ab fbf cc dc ab abg cc c eb eb dcg cg be bb dcg cc ba bbcd dc ba gbb gc bf gccbe cg bg cc fba cd b cc abf cc gb cc ebg gc fb cc bb c ab cc bb cd ab cc bb cc eb cc be dc be dcg gba c ba dcg fbf cg bf dcg abg cd bf gcd eb dc b gcd bb gc b cc bb cg gb cc bb cd fb cc gbe cc ab cc fba gc eb cc abf c bb cc ebg cd be cc bb cc ba cc bb dc bf dcg bb c bg dcg be cg b gcd gba cd b gcd fbf dc gb gcd abg gc fb cc eb c ab cc bb cd eb cc bb cc bbcc bb gc bec gbe c be fbf ccbf f ccbg gb b fb fb ab eb be be ba bf bbbbeaafg bg faaebbbbbbbbbbbeaffgb gfaaebbbbbb ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#95c4e3ff b,#10fe78ff c,#5af39cff d,#c4e8eaff e,#edf6f1ff f,#b1d7b1ff g,#93cd98ff ``` ```image dd cbbc bbbbe cbbbbb bbbbbbc cbbbcbbbd bbbc bbbb bbb ebbbb ef cbbbd bbbb bbbb cbbbf bbbb bbbb fbbbc bbbbe bbbb dbbbc bbbbe bbbb ebbbc cbbbd e bbbb aaa ebbbb aaaad cbbbd daaaaa bbbb eaaaaaae bbbb aaaaaaaa fbbbf aaaaeeaaa bbbb aaaad aaad bbbb daaaa daaa dbbbc eaaaa aaae bbbbe aaaa aaaa bbbbeeeeeeeeeeeeeeeeeeaaaaeeeeeeedaaaeeeeeeeeeeeeeeeeeeee gbbbbffffffffffffffffaaaafffffffffaaaaffffffffffffffffffge gbbbbgffffffffffffffaaaaafffffffffaaaafffffffffffffffffffe gfbbbbffffffffffffffaaaafffffffffffaaafffffffffffffffffffe gffbbbbffffffffffffaaaaffffffffffffaaaaffffffffffffffffffe gffcbbbgffffffffffaaaaffffffffffffffaaaffffffffffffffffffe gfffbbbbfffffffffaaaafffffffffffffffaaaafffffffffffffffffe gffffbbbbfffffffaaaaffffffffffffffffaaaafffffffffffffffffe gffffcbbbcfffffaaaaafffffffffffffffffaaafffffffffffffffffe gfffffbbbbfffffaaaaffffffffffffffffffaaaaffffffffffffffffe gffffffbbbbfffaaaaffffffffffffffffffffaaaffffffffffffffffe gffffffcbbbcfaaaafffffffffffffffffffffaaaffffffffffffffffe gfffffffbbbbaaaaffffffffffffffffffffffaaaafffffffffffffffbe gffffffffbbaaaaafffffffffffffffffffffffaaaffffffffffffffbbb gffffffffgcaaaaffffffffffffffffffffffffaaaafffffffffffgbbbbb gfffffffffaaaaffffffffffffffffffffffffffaaaffffffffffcbbbbc gffffffffaaaabbfffffffffffffffffffffffffaaafffffffffcbbbbf gfffffffaaaabbbbffffffffffffffffffffffffaaaafffffffbbbbbge gffffffaaaaabbbbgffffffffffffffffffffffffaaaffffffbbbbbffe gfffffaaaaaffbbbbffffffffffffffffffffffffaaaaffffbbbbbfffe gfffffaaaaffffbbbbfffffffffffffffffffffffaaaafffbbbbbffffe gffffaaaafffffcbbbgfffffffffffffffffffffffaaaagbbbbcfffffe gfffaaaafffffffbbbbfffffffffffffffffffffffaaaabbbbcffffffe d gffaaaafffffffffbbbbfffffffffffffffffffffffaaacbbgfffffffe aaa gfaaaaafffffffffcbbbcffffffffffffffffffffffaaaabfffffffffe aaae gfaaaafffffffffffbbbbfffffffffffffffffffffbbaaaafffffffffe aaaa gaaaafffffffffffffbbbbfffffffffffffffffffbbbcaaafffffffffe daaa aaaaffffffffffffffcbbbcffffffffffffffffgbbbbbaaaaffffffffe aaa aaaaffffffffffffffffbbbbfffffffffffffffcbbbbcffaaaffffffffe aaad aaaaafffffffffffffffffbbbbfffffffffffffbbbbbgfffaaaafffffffe aaaa daaaaffffffffffffffffffgbbbcfffffffffffbbbbbffffffaaafffffffe eaaa eaaaaffffffffffffffffffffbbbbffffffffffbbbbbfffffffaaaaffffffe aaa aaaagfffffffffffffffffffffbbbbffffffffbbbbbfffffffffaaaffffffe aaad aaaaegfffffffffffffffffffffgbbbbfffffgbbbbbffffffffffaaaafffffe daaa aaaad gffffffffffffffffffffffbbbbgfffcbbbbcffffffffffffaaafffffe eaaa daaad gfffffffffffffffffffffffbbbbffcbbbbgfffffffffffffaaaaffffe aaae daaaa gffffffffffffffffffffffffbbbbbbbbbffffffffffffffffaaaafffe aaaa eaaaa gffffffffffffffffffffffffcbbbbbbbfffffffffffffffffaaaafffe daaa aaaa gfffffffffffffffffffffffffbbbbbbfffffffffffffffffffaaaaffe aaa aaaae fggggggggggggggggggggggggggbbbbggggggggggggggggggggaaaagge aaad aaaad dbc aaaa aaaa daaaa daaa daaa eaaaa aaaa aaa aaaa eaaae aaadaaaae aaaa aaaaaaad eaaae eaaaaaa aaaa aaaaa aaad aaaa aaae eaa d ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#95c4e5ff b,#0efe78ff c,#76f8b5ff d,#adfed1ff e,#ddf4f1ff f,#3ffd94ff g,#b9d8edff ``` ```image bbbbbbbd gaaaaaaaa eaaaaaag fbbbbbbbe eaaaaaaaa aaaaaaae dbbbbbbbf eaaaaaaaae gaaaaaag cbbbbbbbd aaaaaaaae aaaaaaa fbbbbbbbe gaaaaaaag gaaaaaae ebbbbbbbf gaaaaaaag eaaaaaag cbbbbbbbc gaaaaaaaa aaaaaaa fbbbbbbbe eaaaaaaaae gaaaaaag ebbbbbbbf eaaaaaaaae aaaaaaa dbbbbbbbc aaaaaaaag gaaaaaae fbbbbbbbd gaaaaaaag eaaaaaag ebbbbbbbf gaaaaaaaa aaaaaaa dbbbbbbbc eaaaaaaaae gaaaaaag cbbbbbbbd eaaaaaaaae eaaaaaaa fbbbbbbbe aaaaaaaae gaaaaaae dbbbbbbbf gaaaaaaag eaaaaaag cbbbbbbbd gaaaaaaag aaaaaaa fbbbbbbbe eaaaaaaaa gaaaaaag ebbbbbbbf eaaaaaaaae eaaaaaaa cbbbbbbbc eaaaaaaaae gaaaaaae fbbbbbbbe aaaaaaaag eaaaaaag ebbbbbbbf gaaaaaaag aaaaaaa dbbbbbbbc gaaaaaaaa gaaaaaae fbbbbbbbeeaaaaaaaae eaaaaaaa ebbbbbbbfaaaaaaaae aaaaaaae dbbbbbbaaaaaaaag eaaaaaag c fbbbbaaaaaaaag aaaaaaa cb ebbbcaaaaaaag gaaaaaae efbb dbfaaaaaaaa eaaaaaag efbbb caaaaaaaae aaaaaaae dbbbbb aaaaaaaafe eaaaaaag dbbbbbb aaaaaaaacbf aaaaaaa cbbbbbbb gaaaaaaacbbbd gaaaaaae cbbbbbbbb gaaaaaaaabbbbbe eaaaaaag fbbbbbbbbb eaaaaaaaafbbbbbf aaaaaaae efbbbbbbbbbe eaaaaaaaacbbbbbbbc gaaaaaag ebbbbbbbbbfe aaaaaaaag fbbbbbbbe aaaaaaa dbbbbbbbbbf gaaaaaaag ebbbbbbbf gaaaaaae cbbbbbbbbbc gaaaaaaaa dbbbbbbbc eaaaaaag cbbbbbbbbbc eaaaaaaaae ebbbbbbbf gaaaaaag efbbbbbbbbbe aaaaaaaae dbbbbbbbc aaaaaaa ebbbbbbbbbfe aaaaaaaag fbbbbbbbd gaaaaaag dbbbbbbbbbf gaaaaaaag ebbbbbbbbe eaaaaaaadbbbbbbbbbc gaaaaaaaa dbbbbbbbc aaaaaaacbbbbbbbbc eaaaaaaaae cbbbbbbbd eaaaaaaabbbbbbbd eaaaaaaaae fbbbbbbbe gaaaaaacbbbbbd aaaaaaaag dbbbbbbbf eaaaaaaafbbfe gaaaaaaag cbbbbbbbd dcaaaaaacbfe gaaaaaaaa fbbbbbbbe dbfaaaaaaac eaaaaaaaa ebbbbbbbf cbbbcaaaaaag eaaaaaaaae cbbbbbbbc cbbbbbaaaaaaae aaaaaaaae fbbbbbbbe efbbbbbbcaaaaaaa gaaaaaaag ebbbbbbbf efbbbbbbbbaaaaaaae aaaaaaag dbbbbbbbc dbbbbbbbbbfgaaaaaaa aaaaaaa fbbbbbbbd dbbbbbbbbbf aaaaaaag aaaaaae ebbbbbbbf cbbbbbbbbbc eaaaaaaa aaaaae dbbbbbbbc cbbbbbbbbbd aaaaaaag aaaag cbbbbbbbd efbbbbbbbbbd eaaaaaaa aaag ebbbbbbbbe efbbbbbbbbfe gaaaaaag aaa dbbbbbbbf ebbbbbbbbbfe eaaaaaaae aae cbbbbbbbd dbbbbbbbbbf gaaaaaag ae fbbbbbbbe cbbbbbbbbbc eaaaaaaae e ebbbbbbbf cbbbbbbbbbd gaaaaaag cbbbbbbbd fbbbbbbbbbd aaaaaaae fbbbbbbbe efbbbbbbbbbe gaaaaaaa ebbbbbbbf ebbbbbbbbbfe aaaaaaae cbbbbbbbc dbbbbbbbbbf gaaaaaaa fbbbbbbbe dbbbbbbbbbc aaaaaaae ebbbbbbbf cbbbbbbbbbc eaaaaaaa dbbbbbbbc fbbbbbbbbbd aaaaaaag fbbbbbbb efbbbbbbbbbe eaaaaaaa ebbbbbbbdfbbbbbbbbfe aaaaaaag dbbbbbbbbbbbbbbbfe eaaaaaaae cbbbbbbbbbbbbbc gaaaaaag fbbbbbbbbbbbc eaaaaaaae dbbbbbbbbbbd gaaaaaag cbbbbbbbbd eaaaaaaae ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#95c4e5ff b,#0efe78ff c,#73fab3ff d,#afffd2ff e,#ddf2f3ff f,#3ffd93ff g,#b9d8edff ``` ```image dd cbbc bbbbe cbbbbb bbbbbbf fbbbfbbbe bbbc bbbb bbb ebbbf ec cbbbd bbbb bbbb cbbbd bbbb bbbb dbbbc bbbb bbbb dbbbf fbbbe bbbb ebbbf fbbbd e bbbb aaa ebbbb aaaag cbbbd gaaaaa bbbb eaaaaaae bbbb aaaaaaaa cbbbc aaaa eaaa bbbb aaaae aaag bbbb gaaag gaaa dbbbc eaaaa aaae bbbbe aaaa aaaa bbbb aaaa eaaa dbbbf aaaae aaag fbbbe gaaag gaaa bbbb gaaaa aaa ebbbf eaaaa aaaa fbbbd aaaa eaaa bbbb aaaae aaag bbbb aaaae gaaa cbbbd gaaag aaa bbbb eaaaa aaaa bbbb aaaa eaaa dbbbc aaaa aaae bbbbaaaae aaaa be bbaaaag aaa bbb dfaaaa aaag ebbbbf aaaae eaaa dbbbbf aaaabb aaae cbbbbd aaaafbbf aaaa fbbbbe aaaagfbbbe aaa bbbbb gaaaa bbbb aaag bbbbb eaaaa ebbbf gaaa ebbbbb aaaa cbbbd aaagdbbbbf aaaa bbbb aaaabbbbc e aaaae bbbb aaacbbd aaa gaaag cbbbd caaabe aaae eaaaa bbbb bbaaag aaaa aaaa bbbb ebbbcaaa eaaa aaaa dbbbc dbbbbfaaaa aaa aaaae bbbb cbbbbc eaaa aaae aaaag bbbb fbbbbd aaaa gaaa gaaaa dbbbf bbbbbe eaaae eaaa eaaaa fbbbe bbbbb aaaa aaa aaaa bbbb bbbbb aaae aaag aaaa ebbbf ebbbbf aaaa gaaa aaaae fbbbe dbbbbc aaae aaa gaaag bbbb fbbbbd aaaa aaae eaaaa ebbbffbbbbe aaag aaag aaaa cbbbbbbb gaaa gaaa aaaa bbbbbb aaag aaa aaaae bbbf gaaa aaae aaaag dbc aaaa aaaa gaaaa gaaa eaaa eaaaa aaaa aaa aaaa eaaa aaagaaaa aaaa gaaaaaae eaaae eaaaaag aaaa aaaaa aaae aaaa aaae eaa e ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#c0361aff b,#4dc375ff c,#e9bab0ff d,#b1d7b1ff e,#c67a60ff f,#f0f2ebff g,#92ca96ff ``` ```image ac aaa aaaa aaeaa aae eac aae cae aae aa aae aa d faaeggggggaaggggggggggbbgd faaedddddddaadddddddddbbddg faacddddddddeagdddddddbbgddg faacfddddddddgaeddddddgbbdddg caac fdddddddddaaddddddbbddddg caac fdddddddddaadddddbbgddddg caaf fdddddddddaaddddgbbdddddg caaf fdddddddddaaddddbbddddddg caaf fdddddddddeagddbbgddddddg eaaf fdddddddddgaedgbbdddddddg eaaf fddddddddddaadbbddddddddg eaa fddddddddddaabbgddddddddg eaa fddddddddddaabbdddddddddg eaa fddddddddddabbddddddddddg eaa fddddddddddbbgddddddddddg aaa fdddddddddgbbeddddddddddg aaa fdddddddddbbaaddddddddddg aaa fddddddddbbgaaddddddddddg aaa fdddddddgbbdaaddddddddddg aaa fdddddddbbddaaddddddddddg aaa fddddddbbgddeaedddddddddg aaa fdddddgbbddddaedddddddddg aae fdddddbbdddddaadddddddddg aae fddddbbgdddddaadddddddddg aae fddgbbgddddddaadddddddddg aae fdbbbddddddddeadddddddddg faae fbbbdddddddddeaeddddddddg faae fbbbdddddddddddaeddddddddg faac gbbgddddddddddddaaddddddddg faac bbbffffffffffffffaaffffffff faac fbbb aa dggggggggggggggggggggggdcaac dbbg eaf gddddddddddddddddddddddeaac bbbf cac gdddddddddddddddddddddeaaf bbb fae gddddddddddddddddddddeaaf fbbb aa gdddddddddddddddddddeaag gbbd aa gddddddddddddddddddeaadg bbbf aa gdddddddddddddddddeaaddg fbbb eaf gddddddddddddddddeaadddg dbbg cac gdddddddddddddddeaaddddg gbbf ae gddddddddddddddaaadddddg bbb aa gdddddddddddddaaaddddddg fbbb aa gddddddddddddaaadddddddg gbbd aa gdddddddddddaaaddddddddg bbbf eaf fgggggggggggbbbbbbbbbbbbbbbbbbbbbbbbbbb cac bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbg ae dggggggggdaaadddddddddddg aa gdddddddaaaddddddddddddg aa gddddddaaadddddddddddddg aa gdddddaaaddddddddddddddg eaf gddddaaedddddddddddddddg cac gdddaaeddddddddddddddddg cac gddaaedddddddddddddddddg fae gdaaeddddddddddddddddddg fae gaaedddddddddddddddddddg ae faaeddddddddddddddddddddg ae faaedddddddddddddddddddddg aa aeddddddddddddddddddddddg aa gddddddddddddddddddddddg aa gddddddddddddddddddddddg aa f ffffffffffffffffffffff aafae aaeac aaaa aaaa aaaa aaae aaaf aaa aaa aaa aac ea c ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#c03418ff b,#4cc274ff c,#e5b0a5ff d,#bde7cbff e,#d98676ff f,#73d093ff g,#cd5e48ff ``` ```image c ca caa caaa caaaa eaaaag eaaaag eaaaag eaaaag eaaaag eaaaae gaaaae gaaaae gaaaae gaaaae gaaaae gaaaac gaaaac gaaaac gaaaac aaaaac daaaaac ddddddddddddddddddfffffbbbbbffffffffffffbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffffffff ddddddddddddddddd caaaagd caaaaa caaaag caaaag caaaag caaaag eaaaag eaaaag eaaaag eaaaag eaaaag eaaaae gaaaae gaaaae gaaaae gaaaae gaaaae gaaaac gaaaac aaaac aaac aac ac c ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Alright, let's examine the next area. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#c03519ff b,#4ec477ff c,#edc8c1ff d,#94dbadff e,#db9686ff f,#cfefdbff g,#ca634bff ``` ```image aaae caaae fbbbb aae aaag bbbbd ae gaaa dbbbb e gaaa fbbbbf eaaac bbbbd caaae dbbbb caaae fbbbbf aaag bbbbd gaaa dbbbb gaaa fbbbbf eaaac bbbbd caaae dbbbb caaae fbbbbf aaag bbbbd gaaa dbbbb gaaa fbbbbf eaaac bbbbd caaae dbbbb caaae fbbbbf aaag bbbbd gaaa dbbbb gaaa fbbbbf eaaacbbbbd caaabbbbb caagbbbbf aabbbbd gbbbbb ebbbbf bbbbd dbbbbe fbbbbag bbbbgag dbbbbaaa fbbbbeaaac bbbbdeaaac dbbbb caaae fbbbbf aaag bbbbd aaag dbbbb gaaa fbbbbf eaaac bbbbd eaaac dbbbb caaae fbbbbf aaag bbbbd aaag dbbbb gaaa dbbbbf eaaac bbbbbd eaaac fbbbbbd caaae dbbbbbd aaag dbbbbbf aaag fbbbbbbf gaaa fbbbbbd eaaac dbbbbbd eaaac bbbbbf caaae bbbb aaag bbd aaag ``` <!-- end of image --> 1 intersection present within area B. Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c13418ff b,#4ec477ff c,#e6afa5ff d,#a1dfb6ff e,#d88170ff f,#e6e3d8ff g,#ca5941ff ``` ```image ac aaa aaaa aagaa aag eaf aag fae aae ag aae aa d aae aa fbb faac ga bb faac eaf bbd faac fae fbb faac aa bb faaf aa bbd caaf aa fbb caaf ga bb caaf eac bbd eaa fae fbb eaa aa bb eaa aabbd eaa agbb gaa gbb gaa bbd gaa fbbe gaa bbaa aaa bbdaa aaa fbb aa aaa bb ga aag bbd cac aag fbb fae aag bb aa aag fbbd aa aae dbbd aa aae bbbf ga aae bbb cac aae fbbb ae faac dbbd aa faac bbb aa faac bbb aa faaf dbbd ga caaf bbbf cac caaf bbb ag caaf fbbb aa caaf dbbd aa eaa bbb aa eaa bbb eaf eaa dbbd cac gaa bbbf ag gaa bbb aa gaa fbbb aa gaa dbbd aa gaa bbb eaf ffddddddddddbbbdbbbbbbbbbbbbbbbbbbbbbbb cac bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbd ag ddddffffffaag aa aag aa aag aa aag eaf aag cac aae fac aae fae aae fae aac ae faac ag faac ag ac aa aa aa f aafae aaeaf aaaa aaaa aaaa aaae aaaf aaa aaa aag gac ga f ``` <!-- end of image -->
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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,#6745bfff b,#3902b5ff c,#b64fb6ff d,#dec5e9ff e,#b38ac4ff f,#b1d7b1ff g,#96c798ff ``` ```image gggggggggggggggggggggggggggggggggggggggggg ffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffffcccffffffffffffffffff d ffffffffffffffffffffecccefffffffffffffffff abba ffffffffffffffffffffcccccfffffffffffffffff dbbbbbb fffffffffffffffffffcccccccffffffffffffffff dbbbbbbbba fffffffffffffffffffcccfcccefffffffffffffff ebbbbbbe bbb a ffffffffffffffffffcccfffcccfffffffffffffffabbbbbbd abbe ebb fffffffffffffffffccccfffecccffffffffffffbbbbbba bbb bbbbgffffffffffffffffcccfffffccceffffffffebbbbbba abbd bbbbaffffffffffffffccceffffffcccffffffabbbbbbe bbb abbbbffffffffffffecccfffffffecccfffabbbbbbgf bbbd ebbbbfffffffffffcccfffffffffccccbbbbbbbffff dbbb gbbbbgffffffffccceffffffffffcccbbbbaffffff bbb ffbbbbaffffffecccfffffffffebbcccbaffffffff dbba fffabbbbfffffcccffffffffabbbbccccfffffffff bbb ffffebbbbfffccceffffffabbbbbbfccceffffffff ebba ffffffbbbbgfcccffffgbbbbbbaffffcccffffffff bbb fffffffbbbbcccfffebbbbbbaffffffecccfffffff abbe ffffffffabccccfabbbbbbefffffffffccceffffff bbb fffffffffecccbbbbbbbgffffffffffffcccffffff abbd fffffffffcccabbbbafffffffffffffffecccfffff bbb ffffffffecccbbbaffffffffffffffffffccceffff bbbd ffffffffcccffffffffffffffffffffffffcccffff dbbb fffffffccceffffffffffffffffffffffffecccfff bbb ffffffecccffffffffffffffffffffffffffccceff dbba ffffffcccffffffffffffffffffffffffffffcccff bbb fffffccceffffffffffffffffffffffffffffecccf ebba fffffcccffffffffffffffffffffffffffffffcccc bbb ffffcccffffffffffffffffffffffffffffffffcccd abbe fffecccfffffffffffffffffffffffffffffffffccc bbb fffcccffffffffffffffffffffffffffffffffffcccc bbbd ffcccefffffffffffffffffffffffffffffffffffcccd bbb fecccfffffffffffffffffffffffffffffffffffffccc bbbd gcccggggggggggggggggggggggggggggggggggggggeccc dbbb ccce ccce bbb dccc ccc ebba ccc dccc bbb ccce ccce ebba dccc ccc bbb cccd dccc abbe eccc ccce bbb ccc cccd bbbd ed dccc bbb eccc bbb cccd dbbb ccc bbb eccc ebba cccd bbb ccc ebba dccc bbb ccce abbe ccc bbb dccc bbbd ccce bbb cccd bbb dccc dbd cccc cccd ccc eccc cccd ccc eccc ccce ccc dccc ccce cccd dccc cccc cccd dccc eccc cccd ccc eccc ccce ccc dccc ccce ccc dce ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#8664d1ff b,#3801b5ff c,#b64fb6ff d,#d8b6e3ff e,#c286d0ff f,#efe0f2ff g,#5c29beff ``` ```image fccef fccccc eccccce dcccccccd fcccccccccf eccccccccce dcccccccccccd cccccccccccccf eccccccfcccccce fccccccd dccccccd cccccce eccccccf dccccccf ccccccc fccccccd fcccccce eg ecccccc eccccccf fegbb f dccccccf ccccccc fabbbbb gd fcccccce fcccccce dabbbbbbb bbe ecccccc dccccccd dgbbbbbbbbb bbba dccccccd eccccccf fegbbbbbbbbbbb bbbbgf cccccce fcccccce fabbbbbbbbbbbbgd bbbbbgd eccccccf dccccccd dabbbbbbbbbbbbad bbbbbbbe fccccccd eccccccf dgbbbbbbbbbbbbaf bbbbbbbba eccccce fcccccceegbbbbbbbbbbbgef dgbbbbbbbgf dccccccf dccccccgbbbbbbbbbbgd fgbbbbbbbgd fccccccd eccccccbbbbbbbbad abbbbbbbbe ecccccc dgcccccccbbbbbaf ebbbbbbbba dccccccf egbbgccccccgbgef dgbbbbbbbgf fcccccce fabbbbbbgcccccce fgbbbbbbbgd ecccccc fabbbbbbbbbccccccc abbbbbbbbe dccccccd dabbbbbbbbbbbgcccccce ebbbbbbbba cccccce egbbbbbbbbbbbbafdccccccd dgbbbbbbbgf eccccccf fegbbbbbbbbbbbge eccccccf fgbbbbbbbgd fccccccd fabbbbbbbbbbbbgd fcccccce abbbbbbbbeeccccce dabbbbbbbbbbbbad dccccccd ebbbbbbbgccccccf dgbbbbbbbbbbbbaf eccccccf dgbbbbbccccccd egbbbbbbbbbbbge fcccccce fgbbbccccccc fabbbbbbbbbbbbgd dccccccd abgccccccedabbbbbbbbbbbbad eccccccf eccccccgbbbbbbbbbbbbbaf cccccce eccccccbbbbbbbbbbbgef fccccccd fccccccgbbbbbbbbbge eccccccf cccccccbbbbbbbbad ccccccc eccccccebbbbbbaf fcccccce fccccccd dgbgaf dccccccf eccccce ecccccc dccccccf fcccccce fccccccd dccccccd ecccccc eccccccf dccccccf fcccccce fcccccce dccccccd ecccccc eccccccf fccccccd fcccccce cccccce dccccccd dccccccf eccccccf fccccccd ccccccc eccccce fcccccc dccccccf dccccc fccccccd ecccc ecccccc fcccc dccccccf dccc cccccce ecc eccccccf fcc fccccccd dc cccccce e dccccccf f fccccccd ``` <!-- end of image --> Area A contains 2 intersections. Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8868d2ff b,#3801b5ff c,#b64fb6ff d,#d7b8e4ff e,#c58ad1ff f,#eddff3ff g,#5b2cc0ff ``` ```image ccc f dcccd gbbg ccccc fbbbbbb ccccccc dbbbbbbbba fccc cccd abbbbbbe bbb g cccf ccc gbbbbbbf abba abb eccc eccc fgbbbbbg bbb bbbbd fccc ccce dbbbbbba gbbd bbbba cccd cccf ebbbbbbe bbb gbbbg eccc dccc abbbbbbd bbbf ebbbb ccc cccegbbbbbgf fbbb fbbbbd cccd cccbbbba bbb bbbba dccc ebgcccba dbbg gbbbg ccc abbbbcccc bbb ebbbb ccce gbbbbbbfcccd abba fbbbbdfccc fbbbbbbg fccc bbb bbbbcccf dbbbbbba eccc abba gbcccc abbbbbbd cccd bbb ecccbbbbbbbf ccc gbbd cccgbbbbg eccc bbb ecccbbba ccce bbbf ccc ccc fbbb ccce dccc bbb dccc ccce dbbg ccc cccf bbb ccce dccc abba fccc cccc bbb cccf cccf abbe eccc fccc bbb ccc eccc gbbd cccd cccd bbb dccc fccc bbbf ccc eccc fbbb ccce ccce bbb dccc ccc ebbg cccf dccc bbb ccce ccce abba fccc cccf bbb cccf dccc gbbe eccc ccce bbb ccc cccf gbbd ed fccc fbbb eccc bbbf cccd dbbb fccc bbb eccc ebbg cccd bbb ccc abba eccc bbb ccce gbbe cccf bbb dccc gbbd ccce fbbb cccf bbbf fccc dbd cccc cccd fccc eccc cccd ccc eccc ccce ccc dccc ccce cccf fccc cccc cccf fccc eccc cccd ccc eccc ccce ccc dccc ccce cccf dce f ``` <!-- end of image -->
[ "" ]
I'm curious to see if this image contains any intersection points. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#94d1cfff b,#b98ea0ff c,#d2d3daff d,#b1d7b1ff e,#eff5f0ff f,#96ca96ff g,#b8b0acff ``` ```image dffffffffffffffffffffffffffffffffffffffe fdddddddddddddddddddddddddddddddddddddde fdddddddddddddddddddddddddddddddddddddde cbb fdddddddddddddddddddddddddddddddddddddde gbe b fdddddddddddddddddddddddddddddddddddddde ebg g fdddddddddddddddddddddddddddddddddddddde cbc ce fdddddddddddddddddddddddddddddddddddddde gbe ec e fdddddddddddddddddddddddddddddddddddddde ebb g a fdddddddddddddddddddddddddddddddddddddde cbc b a fdddddddddddddddddddddddddddddddddddddde gbc b a fdddddddddddddddddddddddddddddddddddddde ebbe b a fdddddddddddddddddddddddddddddddddddddde cbg g a fddddddddddddddddddddddddddddddddddddddgbc cc a fddddddddddddddddddddddddddddddddddddbbe c a caaefdddddddddddddddddddddddddddddddddgbgdde b a caaddddddddddddddddddddddddddddddgbgdddde b a fdaaadddddddddddddddddddddddddbbddddddde b a fddddaaadddddddddddddddddddgbbddddddddde dfaafffbffffffffaffff fddddddddaaadddddddddddddgbgddddddddddde aadadddgddddddddadddd fdddddddddddaaaddddddddbbdddddddddddddde afddaddddgdddddddadddd fddddddddddddddaaaddgbbdddddddddddddddde aa fdddadddbdddddddadddd fdddddddddddddddddgbgdddddddddddddddddde eae fdddadddbdddddddadddd fdddddddddddddddbbdddaaaddddddddddddddde aa fdddadddbdddddddadddd fdddddddddddddbbddddddddaaadddddddddddde eae fdddadddbdddddddadddd fddddddddddgbgdddddddddddddaaaddddddddde ac fdddadddgdddddddadddd fddddddddbbgddddddddddddddddddaaadddddde ca fdddadddggddddddadddd fddddddbbdddddddddddddddddddddddddaaadde ac fddddadddgddddddadddd fdddgbgddddddddddddddddddddddddddddddaac ca fddddadddbddddddadddd fdbbgddddddddddddddddddddddddddddddddddeaaceae fddddadddbddddddddddd ebbddddddddddddddddddddddddddddddddddddde ec fddddadddbddddddddddd cbgfdddddddddddddddddddddddddddddddddddddde fddddadddbddddddddddd bc fdddddddddddddddddddddddddddddddddddddde fddddddddgddddddddddd fdddddddddddddddddddddddddddddddddddddde fdddddadddgddddaddddd fdddddddddddddddddddddddddddddddddddddde fdddddadddbddddaddddd fdddddddddddddddddddddddddddddddddddddde fdddddadddbddddaddddd fdddddddddddddddddddddddddddddddddddddde fdddddadddbddddaddddd fdddddddddddddddddddddddddddddddddddddde fdddddadddbddddaddddd fdddddddddddddddddddddddddddddddddddddde fddddddaddgddddaddddd fdddddddddddddddddddddddddddddddddddddde fddddddaddggdddaddddd fdddddddddddddddddddddddddddddddddddddde fddddddadddgdddaddddd fdddddddddddddddddddddddddddddddddddddde fddddddadddbdddaddddd fdddddddddddddddddddddddddddddddddddddde fddddddadddbdddaddddd fdddddddddddddddddddddddddddddddddddddfe fddddddadddbdddaddddd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fdddddddaddbdddaddddd fdddddddaddgdddaddddd fdddddddadddgddaddddd fdddddddadddbddaddddd fdddddddadddbddaddddd fdddddddddddbddaddddd fddddddddaddbddaddddd fddddddddaddgddaddddd fddddddddaddggdaddddd fddddddddadddgdaddddd fddddddddadddbdaddddd fdddddddddaddbdaddddd fdddddddddaddbdaddddd fdddddddddaddbdaddddd fdddddddddaddgdaddddd fdddddddddadddgaddddd fdddddddddadddbaddddd fddddddddddaddbaddddd fddddddddddaddbaddddd fddddddddddaddbaddddd fddddddddddaddgaddddd fddddddddddaddggddddd fddddddddddddddgddddd fdddddddddddaddbddddd fdddddddddddaddbddddd fdddddddddddaddbddddd fdddddddddddaddbddddd fdddddddddddadagddddd fddddddddddddaadgdddd fddddddddddddaadbdddd fddddddddddddaadbdddd fddddddddddddaadbdddd fddddddddddddaadddddd fdddddddddddddadddddd fdddddddddddddadddddd fdddddddddddddadddddd fdddddddddddddadddddd fdddddddddddddadddddd fdddddddddddddddddddd fdddddddddddddddddddd fdddddddddddddddddddd ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#abdbdfff b,#bc8ea2ff c,#e0cdd6ff d,#c8e7e9ff e,#ebeff1ff f,#91d1d5ff g,#cdadbbff ``` ```image cg ecbbb egbbgc cgbbge ade ecbbbce fffade egbbbc edffffde cgbbge edafffde cbbbge edafffae egbbbc edafffad cgbbgc dafffad cbbbge dafffade egbbbc eafffade cgbbgc edfffade cbbbge edffffde egbbbc edafffde egbbgc edafffacbbbge edgbbbgd egbbgcafffad cgbbge dafffade ecbbbce eafffade egbbgc edfffade cgbbge edffffde ecbbbce edafffde egbbbc edafffae cgbbge edafffad ecbbbge dafffad egbbbc dafffade cgbbgc eafffade cbbbge edfff egbbbc ed cgbbgc cbbbge gbbbc bgc e ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Alright, let's concentrate on the next area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#addce0ff b,#bb8da2ff c,#e0cbd4ff d,#cae8ebff e,#e9f0f2ff f,#91d0d5ff g,#cdacbbff ``` ```image eae bg af dffd gb af dfd a cbe af ffe f cbc af fd f ebc af fe bg aa fa gb aa fa cb fa af cb fa dfe eb fa efd b fa fa g fa af g fa af ce fd dfe cc fd fd g efd fa g efd af b efd df b efd efd bc efd fa bc efd fa bg efe af gb dfe ef cbe dfe ef cbc dfe f ebc dfe a bg dfe de gb df ed cbe df d cbe df a ebc af f bg af fe gb af fd gb af fa cb af af eb aa dfe b aa efd b aa efd g fa af ce fa af ec fa dfe c fa efd g fa fd b fa af be fd df bc fd df bc efd ef bg efd a gb efd a cbe efd de cbe efd ed ebc efd a bg dfe f gb dfe f gb dfe fe cbe dfe fd ebc dfe fa bg dfe af bg df dfe gb df efd cbeaf fa ebcaf aa bcaf af bgaf efd gbaf efd cbaf fa cbaa af ebaa df bfa ef gfa f cfa f cfa a efa de ba ed bd a bd a ba fe bg fd bg fd bb fa bb df fbe dfe fbc efd fbg fa fbg af fgb dfe fcbe dfe fcbc efd febc aa f gg af f gb dfef cb efdf cb faf b aff dff dff fa fa aa da da a ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#afdde1ff b,#bb8da1ff c,#e0cdd5ff d,#cbe9ebff e,#ebeff2ff f,#91d1d6ff g,#cbaab9ff ``` ```image cbb gbe b ebg g cbc ce gbe ec e ebb g f cbg b f gbc b f ebb b f cbg g f gbc cc f ebbe g f afae cbg b f afae gbc b f dffe bbe b f dffd cbg ff g f dffd gbc df f ce f effd bbe fd d ec f effa ebg af ed g a egbg efe a b a gbe afae fa f b a ebg affe efe f b a cbc dffe fa a g a gbe dffd df de cc d ebb dffd fd d g ed cbg effd af f b ed gbc eafaefe f b ed ebb a f b ed cbg a g de bc dd ce de a ec de f g de f b d f b a d b a ed g a a cc a f g a f b f a b f de b f a g f f ce f f ec f f g f a b f ed b f a b f f g f f cc f f g f de b f ed b f a b f f g f f cef a eca de ga a ba f ba f ba f ga a cc ed eg a eb f eb f db f dg dedce eddec fd g fa b fa b aa df f f f f ``` <!-- end of image -->
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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,#0d4463ff b,#95c29dff c,#051959ff d,#3b647cff e,#b1d7b1ff f,#6e9099ff g,#eaf1eeff ``` ```image df aag aaa gaaab eaeaa fageaa da aae aa aa aa fad aa aag aa gaa ad daf gaf aa bae eaa fag aae da aa aa fad aa aag aa gaa aa daf af aa eab gaa fae dab da aa aa bad aa aag aa gaa gggggggggggggggggggggggggggggggggggggggggggggggggggg eg aa fadbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdaaaf ad aabeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaaaaaf gaf gaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdaaaaadbb eab dafeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebdaaaaaafeeeeb fag gaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaaaaafeeeeeeeeb da gfaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaaaadbeeeeeeeeeeeb aa geaabeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaafeeeeeeeeeeeeeeeb aa geeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeb aa geefadeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeb aa geeeaabeeeeeeeeeeeeeeeeeeeeeeeeeeeeadeeeeeeebfdccccccccaf ad geeebaaeeeeeeeeeeeeeeeeeeeeeeeeeeebafebaccccccccccccccccf gaf geeeedadeeeeeeeeeeeeeeeeeeeeeeeeeefadccccccddfeeeeeeeb bae geeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeedccccabeeeeeeeeeeeeeb fag geeeeebaaeeeeeeeeeeeeeeeeeeeeefcccccbeeeeeeeeeeeeeeeeb da geeeeeeaafeeeeeeeeeeeeeeeeefcccccfaaeeeeeeeeeeeeeeeeeb aa geeeeeeeaaeeeeeeeeeeeeeebcccccfeeeaaeeeeeeeeeeeeeeeeeb aa geeeeeeefadeeeeeeeeeebaccccdeeeeeeadeeeeeeeeeeeeeeeeeb aa geeeeeeeeaabeeeeeeedccccdeeeeeeeebafeeeeeeeeeeeeeeeeeb ad geeeeeeeeeaaeeeedccccabeeeeeeeeeefabeeeeeeeeeeeeeeeeeb eab geeeeeeeeedadfcccccbeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeb fag geeeeeeeeefcccccfeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeb da geeeeeebcccccaeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeb aa geeebaccccdeaafeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeb aa gbdccccdeeeeeaaeeeeeeeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeb aa fcccabeeeeeeefaaeeeeeeeeeeeeeeeebafeeeeeeeeeeeeeeeeeeb ad bccbeeeeeeeeeeeaabeeeeeeeeeeeeeeefabeeeeeeeeeeeeeeeeeeb gfb eccbeeeeeeeeeeeeeaaeeeeeeeeeeeeeeedaeeeeeeeeeeeeeeeeeeeb gccgeeeeeeeeeeeeeedadeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeb ccegeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeb ccb geeeeeeeeeeeeeeebaaeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeb ccf geeeeeeeeeeeeeeeedafeeeeeeeeeeeeadeeeeeeeeeeeeeeeeeeeb ccd geeeeeeeeeeeeeeeeeaaeeeeeeeeeeebafeeeeeeeeeeeeeeeeeeeb dca geeeeeeeeeeeeeeeeefaaeeeeeeeeeefabeeeeeeeeeeeeeeeeeeeb dcc geeeeeeeeeeeeeeeeeeaafeeeeeeeeedaeeeeeeeeeeeeeeeeeeeeb fcc bbbbbbbbbbbbbbbbbbbaabbbbbbbbbaabbbbbbbbbbbbbbbbbbbbe ecc fad aa gccg aag aa ccg gaa ad ccb daf gaf ccf aa fae ccd eaa da aca aab aa dcc aa aa fcc bad aa ecc aag ad gccg gaagaf gccg faaae cce aaa ccf gaa ccd da aca dcc fcc f ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0d4363ff b,#879bb1ff c,#051959ff d,#35597bff e,#b3c0cdff f,#5d7b96ff g,#dee4e9ff ``` ```image gefd e ebdaaaa dg gbfaaaaaaaa af gefdaaaaaaaaaad aae ebdaaaaaaaaaaafbg aad gbfaaaaaaaaaaadbe aaab gefdaaaaaaaaaadfeg aaaag ebdaaaaaaaaaaafbg faaaf gbfaaaaaaaaaaadbe gdaaae gbdaaaaaaaaaadfeg eaaaag faaaaaaaaafbg faaaf daaaaadbe gaaaae aaadeg baaad gaaab daaab eaaae gaaaag baaae baaad faaag daaab faaa ggebffdffbb eaaaag daad geebfddcccccccccccc faaaf aaaf geebfddcccccccccccccccccccc gaaaae gaaab gbdccccccccccccccccccccccccccc baaad eaaaegbdcccccccccccccccccadfbbeg gee daaab baaadccccccccccccadfbbeg gaaaag fccccccccccdbeeg baaad efaccccccccdbg daaab gbaccccccccabg eaaaag gbdcccccccccae faaaf gbdccccccccccaab gaaaae efcccccccccdeeaaae eaaaag efcccccccccdbg baaae faaaf efaccccccccdbg faaag gaaaae gbaccccccccabg faaa baaad gbdcccccccccfe daad daaab gbdcccccccccfe aaaf eaaaag efcccccccccde gaaab faaad efcccccccccdbg eaaae daaae efaccccccccdbg baaae eaaaag gbaccccccccabg faaag faaafgbdcccccccccfe faaa gaaaccccccccccfe daad edcccccccccde aaaf efcccccccccdbg gaaab gfacccccccccae eaaae gbaccccccccadaaad baaae gbdcccccccccfe daaab faaag bdcccccccccfe eaaaag daaa efcccccccccde faaaf daad bcccccccccdbg gaaaae aaaf cccccccdbg eaaad gaaab ccccabg daaaf eaaae ccfe gaaaae baaae cf baaad faaag d daaab daaa eaaaag daad faaaf aaaf gdaaae gaaab eaaaag eaaae faaaf baaae gaaaae faaag baaad daaa daaab daad gaaaag aaaf baaad gaaab daaab eaaae eaaaag baaae faaaf faaag gaaaae daaa ``` <!-- end of image --> The lines cross each other within area A, forming 2 intersections. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0d4463ff b,#94a8b9ff c,#051959ff d,#3e6181ff e,#c0cbd5ff f,#6f8aa1ff g,#dfe5eaff ``` ```image df aa aaa gaaab baeaa fagbaa da aae aa aa aa fad aa aag aa gaa ad daf eab aa bae eaa fa aae da aa aa bad aa aag aa gaa aa daf af aa eab eaa bae dab da aa aa bad aa aae aa aa eg aa fad gfaaaf ad aag baaaaaaf gaf gaa edaaaaadg eab dab gfaaaaaab fag aa baaaaaaf da eaa faaaadg aa aae aab aa aa aa aa fad aa aa aag ad ebdccccccccaf ad gaa gaf gdccccccccccccccccf gaf daf badccccccdfe bae aa fccccdg fag eaa bccccce da aab bcccccbaa aa aa eaccccb aa aa bad gdccccf ad aa aag dccccd gaf ad aa fccccdg bae eab fafbccccce da fag bcccccb aa da eacccca aa aa gdccccf dab aa aa dccccd aa ad aa fcccdg baa gaf ad bcce aae bae fb ecc aa da gccg fad aa cce aag aa ccb gaa aa ccf daf ad ccd aa eaf dca eaa bae dcc aae da bcc aa aa ecc fad aa gccg aag aa cce gaa ad ccb daf eab ccf aa bae ccd eaa da aca aab aa dcc aa aa fcc bad aa ecc aag ad gcc aaeab ccg faaae cce aaa ccf gaa ccd da aca dcc bcc f ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#74117aff b,#149aeeff c,#6cbee6ff d,#b0d7b1ff e,#e9f3f1ff f,#97729aff g,#3d5cbaff ``` ```image eddddddddddddddddddddddddddddddddddddddde eddddddddddddddddddddddddddddddddddddddde eddddddddddddddddddddddddddddddddddddddde aafd eddddddddddddddddddddddddddddddddddddddde eaaaaaaaafde eddddddddddddddddddddddddddddddddddddddde efaaaaaaaaaaafe eddddddddddddddddddddddddddddddddddddddde edfaaaaaaaaaaffddddddddddddddddddcbcddddddddddddddde dfaaaaaaaaaaafddddddddddddcbbddddddddddddddde eddfaaaaaaddddddddddddbbbbdddddddddddddde edddddddaaddddddddddddbbcbbddddddddddddde edddddddaaddddddddddddbbdbbbdddddddddddde eeddffffaaaaaaf edddddddaaddddddddddddbbddbggffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaf edddddddfaddddddddddddaaaaaaaaaaaaaaaaaaaaaaaaffffddee edddddddfaddddddddddddaaafffggfddddddddde edddddddfafddddddddddcaadddddbbddddddddde edddddddfafddddddddddcaadddddcbbdddddddde edddddddfafddddddddddgafddddddbbbddddddde eddddddddafddddddddddaaddddddddbbbdddddde eddddddddafddddddddddaadddddddddbbcddddde eddddddddaaddddddddddaaddddddddddbbddddde eddddddddaadddddddddcaadddddddddddbbdddde ebc eddddddddaadddddddddcaadddddddddddcbbddde bb eddddddddaadddddddddgafddddddddddddbbbdde bb eddddddddaadddddddddgaddddddddddddddbbbde bb eddddddddaadddddddddaadddddddddddddddbbce bb eddddddddaadddddddddaaddddddddddddddddbbe cbe eddddddddaadddddddddaadddddddddddddddddbb ebc eddddddddaaddddddddcaadddddddddddddddddcbb bb eddddddddaaddddddddgafddddddddddddddddddcbb bb eddddddddaaddddddddgafddddddddddddddddddebbb bb eddddddddaaddddddddaaddddddddddddddddddde bbc bb eddddddddaaddddddddaaddddddddddddddddddde bbe cbe eddddddddfaddddddddaaddddddddddddddddddde ebb ebc eddddddddfadddddddcaaddddddddddddddddddde cbb bb eddddddddfafddddddbaaddddddddddddddddddde cbb bb eddddddddfafddddddgafddddddddddddddddddde bbb bb eddddddddfafddddddaadddddddddddddddddddde bbc bb edddddddddafddddddaadddddddddddddddddddde bbe cbe edddddddddafddddddaadddddddddddddddddddde ebb cbc edddddddddaadddddcaadddddddddddddddddddde cbb ebc edddddddddaadddddbaadddddddddddddddddddde cbb bb edddddddddaadddddgafdddddddddddddddddddde bbc bb edddddddddaadddddgaddddddddddddddddddddde bbc bb edddddddddaadddddaaddddddddddddddddddddde bbe bb edddddddddaadddddaaddddddddddddddddddddde ebb cbe edddddddddaaddddcaaddddddddddddddddddddde cbb ebc edddddddddaaddddbaaddddddddddddddddddddde cbb bb edddddddddaaddddbafddddddddddddddddddddde bbc bb edddddddddaaddddgafddddddddddddddddddddde bbc bb edddddddddaaddddaadddddddddddddddddddddde bbe bb edddddddddaaddddaadddddddddddddddddddddde ebb cbe edddddddddaadddcaadddddddddddddddddddddde cbb ebc edddddddddaadddbaadddddddddddddddddddddde c bb edddddddddfadddbaadddddddddddddddddddddde bb edddddddddfafddgafdddddddddddddddddddddde bb edddddddddfafddaaddddddddddddddddddddddde bb edddddddddfafddaaddddddddddddddddddddddde cbe edddddddddfafdcaaddddddddddddddddddddddde ebc eddddddddddafdbaaddddddddddddddddddddddde bb eddddddddddaadbaaddddddddddddddddddddddde bb eddddddddddaadgafddddddddddddddddddddddde bb eddddddddddaadgadddddddddddddddddddddddde bb eddddddddddaadaadddddddddddddddddddddddde cbe eddddddddddaacaadddddddddddddddddddddddde cbc eddddddddddaabaadddddddddddddddddddddddde ebc eddddddddddaabaadddddddddddddddddddddddde bb eddddddddddaabafdddddddddddddddddddddddde bb eddddddddddaagafdddddddddddddddddddddddde bb eddddddddddaaaaddddddddddddddddddddddddde bb eddddddddddaaaaddddddddddddddddddddddddde cbe eddddddddddaaaaddddddddddddddddddddddddde ebc eddddddddddaaaaddddddddddddddddddddddddde bb eddddddddddaaaaddddddddddddddddddddddddde bb edddddddcbbgaafddddddddddddddddddddddddde bb edddddcbbbbfaadddddddddddddddddddddddddde bb edddcbbbbddfaadddddddddddddddddddddddddde cbe edbbbbcddddfaadddddddddddddddddddddddddde ebc ebbbbcddddddfaadddddddddddddddddddddddddde bb ebbbbcdddddddddaadddddddddddddddddddddddddde bb cbbbbedddddddddddafdddddddddddddddddddddddddde bb cbbbbe eddddddddddddddddddddddddddddddddddddddde bbbbbb eddddddddddddddddddddddddddddddddddddddde cbbc eddddddddddddddddddddddddddddddddddddddde e eddddddddddddddddddddddddddddddddddddddde eddddddddddddddddddddddddddddddddddddddde eddddddddddddddddddddddddddddddddddddddde ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#740f7aff b,#169aefff c,#77c4f6ff d,#c398c6ff e,#dad8ecff f,#9b53a0ff g,#4157b7ff ``` ```image e cc aafdd ebbc aaaaaaaaaaff cbbbe faaaaaaaaaaad cbbbbe edffaaf bbbbbb aaf bbccbbc aaa bbc cbbb faa bbc bbbe eeeed faa gaaaaaaaaaaaaaaaaaaaaaa faae aaaaaaaaaaaaaaaaafffddd faae aaaffffdgggee daad eaa ebbb daad caa bbbc daad gaa cbbc eaad gaa bbbe eaaf eaaa ebbb eaaf caaa ebbc aaf baaf cbbb aaf gaad cbbe aaa gaae bbb faa aaa cbbc faa aaf bbb faa aad bbbe faa eaae bbbb daa caa cbbc daa baa bbb daa gaa bb daa gaa eb eaa aaa c eaa aaf aa aad aa caae aa caa aa baf aa gad aae cgae aae caa aae baa aad gaa aad gaa aad aaa aaf aaf aaf eaad aaf eaad aaf caa aaa baa faa egaa faa egaa faa caaa faa baaa daa gaaf daa gaad daa gaae daa aaa eaa eaaf eaa caad aa caae aa baa aa ebaa fa cgaa fa cgaa fae baaa fae baaf dae gaad dad gaae dad aaa dad eaaf ead caad eaf caae eaf baa af ebaa aa cgaa aa cgaa aa baaa aaebaaf aaegaaf aaegaae aadaaa aadaaf aafaad aagaad aagaa aagaa aaaaa aaaaa aaaaa faaaa cbgaaaf cbbbbgaaae bbbbbbfaaae cbbbbbc daaf ecbbbbc daaf bbbbbce daad bbbbbc eaae bbb eaa be eaa de ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#740f7aff b,#149aefff c,#74c3f5ff d,#c297c5ff e,#d2dff2ff f,#9a509eff g,#3e5cbbff ``` ```image aafd eaaaaaaaafde edfaaaaaaaaafde edfaaaaaaaaaafd ebc dfaaaaaaaaaafe cbbe edfaaaaa bbbb aa bbebb aa bb cbb eeddddfffaaaaad fa bb bggddfffaaaaaaaaaaaaaaaaaaaaaaaaaaaf fae aaaaaaaaaaaaaaaaaaaaaaaafffdddee fae aafffdggde dad eaa ebb dad caf cbb dad gad cbb eaf aa bbb af aa bbc af aa bbe aa eaa ebb ebc aa caa cbb bb aa gad cbb bb aa gae bbb bb aa aa bbc bb aa aa bbe cbe aa eaa ebb ebc aa caa cbb bb aa gaf cbb bb aa gad bbb bb aa aa bbc bb fa aa bbe cbe fa eaa ebb ebc fae caa cbb bb dad baf cbb bb dad gad bbb bb dad aae bbc bb eaf aa bbe cbe eaf eaa ebb cbc af caa cbb bc aa baf cbb bb aa gad bbb bb aa gae bbc bb aa aa bbe bb aa eaa ebb cbe aa caa cbb ebc aa baa cbb bb aa baf bbb bb aa gad bbc bb aa aa bbe bb aa eaa ebb cbe fa caa cbb ebc fa baa c bb fae baf bb dae gad bb dad aae bb dad aa cbe ead caa ebc eaf caa bb af baa bb af gad bb aa gae bb aa aa cb aacaa cbc aacaa ebc aabaa bb aabaf bb aagad bb aaaa bb aaaa cbe aaaa ebc aaaa bb eaaaf bb ebbgaad bb cbbbbfaae bb cbbbb daa cbe bbbbc daa ebc bbbbc eaa bb ebbbbe eaa bb ebbbbe ad bb cbbbb bbbbbb cbbc e ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#a6707cff b,#a23519ff c,#d8bcbfff d,#f0f2edff e,#b69896ff f,#a4cda2ff g,#b1d7b1ff ``` ```image c ae ca ad aa da ac ea a ae ca ad aa da ac ea ad ae ca ac ea da ac ca ad ae da ac ea a ae ca ad aa da c ac bb ea dad bb a caae dbb ae cadaae dba ca ca caac dba ad ea caad dba aa ea eaa cbe da ea aae cbe ac ee daac cbeddddddeaddddddddddddaedddddddddd caac c ebeffffffaffffffffffffaeffffffffffd eaad a dabegggggaagggggggggggaegggggggggfd aaa ea dfabfggggfagggggggggggaegggggggggfd daae ac dfgabfggggafggggggggggaegggggggggfd daac da dfggbbfgggaaggggggggggaegggggggggfd caad aa dfgggbbfgggaggggggggggafgggggggggfd eaad ad dfggggbbgggaegggggggggafgggggggggfd aae ca dfgggggbbggeagggggggggafgggggggggfd daae ae dfggggggbbggafggggggggaggggggggggfd caac a dfgggggggbbgaaggggggggaggggggggggfd caad ea dfggggggggbbfaggggggggaggggggggggfd eaa ac dfgggggggggbbaegggggggaggggggggggfd aae da dfggggggggggbaagggggggaggggggggggfd daac aa dfgggggggggggbagggggggaggggggggggfd caac ad dfggggggggggggaaggggggaggggggggggfd eaaca dfggggggggggggeabggggfaggggggggggfd aae dfgggggggggggggabbgggfaggggggggggfd dfgggggggggggggaabbggfaggggggggggfd dfgggggggggggggfafbbgeaggggggggggfd dfggggggggggggggaefbbaaggggggggggfd dfggggggggggggggeaggababbegggggggfd dfgggggggggggggggagggeaebbbbafgggfd dfgggggggggggggggaeggeaggggabbbbefd dfgggggggggggggggeaggeagggggggebbbbad dfggggggggggggggggafgaaggggggggggfabbbbc dfggggggggggggggggaagaaggggggggggfd cbbbbad dfggggggggggggggggfagaeggggggggggfd dabbbbc dfgggggggggggggggggaeaeggggggggggfd cbbbbad dfgggggggggggggggggeaaeggggggggggfd dabbbbc dfggggggggggggggggggaaeggggggggggfd cbbbbe dfggggggggggggggggggaaeggggggggggfd dabbbbc dfggggggggggggggggggfafggggggggggfd cbbbbe dfgggggggggggggggggggafggggggggggfd dabbbbc dfgggggggggggggggggggggggggggggggfd ebbbbe dfgggggggggggggggggggggggggggggggfd dabbd dfffffffffffffffffffffffffffffffffd ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a56e7dff b,#a13014ff c,#dcc4c7ff d,#eee2e2ff e,#c9a5aaff f,#af533dff g,#bb8a8eff ``` ```image bbe eaad aag bbbe daae aag ebbbc gaa aae gbbbc caac aae gbbbc daag aae gbbbc eaad daae gbbbd caae daae abbbd aaa daac abbfd eaac daac fbbfd daae daac fbbfd gaa caac fbbfd caac caac fbbfd aag caac dfbbf eaad caad dfbbf daae caad dfbbf aaa caad dfbba eaac eaad dbbba daag eaad dbbbg gaad eaa cbbbg caac eaa cbbbg aag eaa cbbbg eaad gaa cbbbedaae gaa ebbbegaa gaa ebbbgaac gag ebbbaag gag ebbaaad aag gbfaae aag gbaaa aae gfaac aae aaaad aae aaafd daae caaffd daae aaabfd daae eaabbfd daac caaabbfd daac aaafbbf daac eaacfbbf caac daaedfbbf caac gaaddfbbfc caad caac dbbbbbaaad aag dfbbbfaafgc eaad cgffaabbbbaed daae eaabbbbbbbfgc gaa eaadcgfbbbbbbbaed eaac eaa defbbbbbbbfgc daag eaa cgfbbbbbbbaed gaad eaa defbbbbbbbf caac gaa cgfbbbb aag gaa defb eaad gag daae gag gaa aag caac aag daag aae gaad aae caae aae aaadaae eaacaae daagaae gaaaac caaaac aaaac eaaac caaac aaad eaad ge ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a5707fff b,#a13013ff c,#d8bcbeff d,#ede1e3ff e,#c099a3ff f,#ad4c34ff g,#c37c6bff ``` ```image c ae ca ad aa da ac ea a ae ca ad aa da ac ea a ae ca ad ea a ac ca ad aa da ac ea a ae ca ad aa da c ac bf ea da bf a caaa bf ae cadaae dbf ca ca caac dbg ad ea eaad dbg aa ea eaa cbg da ea aae cbe ac aa daac cbc ea ae caad c ebc a ae eaad a gbc ae ae aaa ea gbd da ac aae ac gbd ad ac daac da fbd ea ac caad aa fbd a ad eaa ad fb ae ad aaa ca fb ca ad daae ae bb ad a caac a bb aa a eaad ea bbda a eaa ac bbac a aae da baa a daac aa ba a caad ad aa a eaaca caf da aae abf da aabf da dadbg ca acdbbga ea gfabbc a eacfbbbgd ae ea gbbbfc ca ea cfbbbgd ad ea gbbbfc aa ae cfbbbg da ae dgbbbfc acae cfbbbg eaac dgbbbfc aac cbbbbg aac dgbbbfc dac ebbbbg ad dgbbbfc ebbbbg dgbbd ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fffffeff a,#b08ca7ff b,#ef869cff c,#f0f6f0ff d,#da9fa2ff e,#b1d7b1ff f,#96c996ff g,#b7b8abff ``` ```image cc bbb ffffffffffffffffffffffbgbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe eeeeeeeeeeeeeeeeeeeeeebeedbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeegbeeeebbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeebdeeeeedbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeebgeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeeebeeeeeeeeedbdeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeegbeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeedbdeeeeeeeeeeeeeeeeegaaeeageeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeebgeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeaaeeeegaeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeedbdeeeeeeeeeeegaaeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeebbeeeeeeeeeaageeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeeeedbdeeeeeeaaeeeeeeeeeeeageeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeeeebbeeegaaeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeeeeeedbdaaeeeeeeeeeeeeeeegaeeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeeeeeeeegaaeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeebdeeeeeeeeeeeeeeeeeeeeeeeaagdbdeeeeeeeeeeeeeeeeageeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeeeeeaaeeeebbeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeeeeaageeeeeedbdeeeeeeeeeeeeeegaeeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeebbeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeedbdeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeebbeeeeeeeeeeeeeageeeeeeeeeeeeeeef eeeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeedbdeeeeeeeeeeegaeeeeeeeeeeeeeeef eeeeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeaaeeeeeeeeeeeeeef eeeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeedbdeeeeeeeeeeaaeeeeeeeeeeeeef eeeeeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeageeeeeeeeeeeef eeeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeedbdeeeeeeeegaeeeeeeeeeeeef eeeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeaaeeeeeeeeeeef eeeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeedbdeeeeeeeaaeeeeeeeeeef eeeeeeeeeeeeeeebgeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeageeeeeeeeef eeeeeeeeeeeeeeebeeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbdeeeeegaeeeeeeeeef eeeeeeeeeeeeeegbeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeeeeeaaeeeeeeeef eeeeeeeeeeeeeedbeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbdeeeeaaeeeeeeef eeeaeeeeeeeeeebgeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeeeeageeeeeef eeeageeeeeeeeebeeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdeeeaeeeeeef eeeaaeeeeeeeegbeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeegaeeeeef eeegaeeeeeeeedbeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdeaaeeeef eeeeaeeeeeeeebgeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeageeef eeeeaeeeeeeeebeeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdaeeef eeeeaeeeeeeegbeeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeeef eeeeageeeeeedbeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeef eeeeaaeeeeeebdeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeegaeeeeeebeeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeegaeeeeeebeeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeaeeeeedbeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeaeeeeebdeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeageeeebeeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeageeeebeeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeegaeeedbeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeegaeeebdeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeaeeebeeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeaeeebeeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeagedbeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeagebdeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeaaebeeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeegaebeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeadbeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeabdeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeabeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeadeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeeaaeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeedaeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeebaeeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeeebaeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeedbaeeeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeebdageeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeebeaaeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeeebegaeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeedbegaeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeebdeeaeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeebeeeaeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeeebeeeageeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeedbeeeageaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeebdeeegaeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeebgeeegaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeeebeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeegbeeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeebdeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef eeebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b088a7ff b,#f0869dff c,#f8c6d1ff d,#f4a5b6ff e,#bd9cb5ff f,#f4e3e9ff g,#d9c6d4ff ``` ```image bbcbbf bd cbbf cbf cbdf db bbb fbc fbbb cbf bbd bb bbd fea bb dbbd eaaae bb fbbc eaafgae fbc fbbc faag eaf cbf dbbf gaaf fae bd dbbf faae aa bf dbdf eaa faa b bbb gaef ga b fbbc faaf eaf cb bbd gaae faa dd dbbdaae gag fbf aaa faf cb gaabbc ae bb gaaf bbbc aa bb faag dbb aaf bd aag dbd gae fbf gae bbd eaf cb faa cbbb fae bc aa cbbf ag bf aa fbbd eaf b ea dbbd aa fb ea dbb eaf cb aa cbbf faa bd fag bbbf gag fbc ea fdbb ea db a fdbd ae bb ea fbbd aa bb fag cbbf aaf bd aa cbbf gae fbc aa dbbc aa db ea dbb fae fbc ea dbb ag cbf aa bbdf eaf fe bb gag bbd aa gaf bb ea fdbc eag ag bb a fbbc faa ae fbc ea fbbc gag aa cbf gag cbbf ea aa bd aa cbbf ae aa bc aa dbbcgag ea b ea dbbaaf ga fb ea dbb faf cb aa bbf ag bd gag ee cbf ag ga db a fa bb ea a bb gag a bd aa af cbf gag af db ea ag fbc ea ee cbf aa gaf bb gag fag bb ag ag bb a aa bc ee aa cbf gag aa dd aa ea bf gag ea b ee gaf b ea fagfb aa eedd gag gabf ag gab a ab ee aa gag aa aa faa gag caa ee baa a fbea ga dbgaf gag bb ag aa bb ee ae bd ga ae fbc ga gag db a aa bc a gag bf a ae b af a fb ag ga db ee gag fbc ga aa cbf fafae bb aae bb aag bb aa fbc ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b089a7ff b,#f0869dff c,#edced9ff d,#f4aabaff e,#ba97b2ff f,#f8eaeeff g,#cdb4c7ff ``` ```image ff bbd bfbbf b dbd cb bbf bd dbd bf bbf b dbd ea cb bbf aaae bd dbd gag ac bf bbf aaf faf b dbd cae ga cb bbf eac ae bd dbd faa ag bf bbf gag faf b dbdaaf ga cb caaf aa dd eacdbd ag bc faa fbbf faf b gag dbd ga cb aaf fbbf ea dd ea dbd ag bc af fbb af b ea dbd ca fb af fbb ea db ea dbd ae bc af fbb ac b ea dbd ca fb a fbb ea db ea dbd ae bc a fbb ac b ea dbd fa fb a fbb ga db ea dbd ae af bc a fbb ag ag b ea dbd faf ee fb a fbb ga ca db ea bbc aa fa bc a fbb ag a b ea bbdaf af fb a fbb ac db ea b eg bc a ga b ee fa fb a a db ee a bc a ac b ee ag fb a ga db ee ca bc a a b ee a fb a af db ee ag bd a ge b ee ca b a adb ee abd a ab ee ab a ea ee ba a ba ee ba a cba ee bdac a bfeg ee b ga a cb fa ee bd a a bf a ee b ac a cb ag ae bd ga a bf caae b aa cb ae bd e bf ``` <!-- end of image -->
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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,#c4173aff b,#05d2f2ff c,#ecb5c0ff d,#a7eef9ff e,#afd6afff f,#ba626fff g,#55d7e0ff ``` ```image dbb gbb bbd bb bb dbb gbb bbd bb bb dbb gbb bbd bb bb dbb gbb bbd bbd eeeeeeeeebbeeeee eeeeeeeeebbeeeee eeeeeeeegbbeeeee eeeeeeeebbgeeeee eeeeeeeebbeeeeee eeeeeeeebbeeeeee eeeeeeeebbeefaae eeeeeeegbbeefaae eeeeeeebbgeefaae eeeeeeebbeeefaae eeeeeeebbeeefaae eeeeeeebbeeefaae eeeeeegbbeeefafe eeeeeebbgeeefafe eeeeeebbeeeefafe eeeeeebbeeeeaafe eeeeeebbeeeeaafe eeeeegbbeeeeaafe eeeeebbgeeeeaafe eeeeebbeeeeeaafe eeeeebbeeeeeaafe eeeeebbeeeeeaafe eeeegbbeeeeeaafe bbg aac bbd aac bb aac bb aac dbb aac bbg aac bbd aac bb aac g bb aa dbbg dbb aa dbbbbb bbg aa dbbbbbd bbd aa bbbbbg bb aa gbbbbb bb aa dbbbbbd dbb aa bbbbbg bbg aa gbbbbg bbd aa dbbbbbd bb aa dbbbbbd bb aa bbbbbg dbb aa gbbbbb eeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeee aa dbbbbbd eeeeeeeeeeeeeeeeeeeeeeeeeeeebbgeeeeeeee aa bbbbbg eeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeee aa gbbbbg eeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeee aa dbbbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeegbbeeeeeeeee aa dbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeee aa gbbbbgeeeeeeeeeeeeeeeeeeeeeeebbgeeeeeeeee aa gbbbbbeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeee aa eegbbbbbgeeeeeeeeeeeeeeeeeebbeeeeeeeeee aa eeeeebbbbbgeeeeeeeeeeeeeeegbbeeeeeeeeee aa eeeeeeegbbbbbeeeeeeeeeeeeegbbeeeeeeeefffaa eeeeeeeeegbbbbbeeeeeeeeeffffaaaaaaaaaaaaaa eeeeeeeeeeeefffaaaaaaaaaaaaaaaaaaaaaaaaafc ccffaaaaaaaaaaaaaaaaaaaaaaaaafffeeeeeeeee ccffaaaaaaaaaaaaaaaaaaaaaaaaafffgbbbbeeegbbeeeeeeeeeee ccffaaaaaaaaaaaaaaaaaaaaaaaaafffeeeeeeeeeeeeeegbbbbbggbbeeeeeeeeeee cfaaaaaaaaaaaaaaaaaaaaaaaaaffcc eeeeeeeeeeeeeeeeeeeeebbbbbbgeeeeeeeeeee caaaaaaaaaaaaaffcc eeeeeeeeeeeeeeeeeeeeeeegbbbeeeeeeeeeeee cffccc eeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#c51539ff b,#05d1f2ff c,#da8295ff d,#afeffaff e,#eec1caff f,#b44a69ff g,#56dff5ff ``` ```image dbbbb gbbbb gbbbg bbbbg dbbbbd dbbbbd gbbbb gbbbg bbbbg dbbbbd dbbbbd gd gbbbb bbbd gbbbg bbbbbg bbbbg bbbbbbbgd dbbbbd bbbbbbbbbgd dbbbbd gbbbbbbbbbbg gbbbb dbbbbbbbbbbgd gbbbg dgbbbbbbbbbgd bbbbg dgbbbbbbbbbbd dbbbbd dbbbbbbbbbbg dbbbbd dgbbbbbbbbbgd gbbbb dgbbbbbbbbbbd gbbbg eeec gbbbbbbbbbbg bbbbg eeeccccffaaaaaaaa dbbbbbbbbbbgd eeeeccffffaaaaaaaaaaaaaaaaaaaa dgbbbbbbbbbgdeeeecccfffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa eeecffffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa eeeecccfffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffccceeee cccffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffffcceeee aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafffcccceee bbbbd aaaaaaaaaaaaaaaaaaaaaaaaaaaaffccccgbbbbbbbbbg dbbbbd aaaaaaaaaaaaaaaffcccceee dbbbbbbbbbbgd gbbbb aaffcccceee dgbbbbbbbbbgd gbbbb dgbbbbbbbbbbbbbbg dbbbbbbbbbbbbd dgbbbbbbbbbd dgbbbbbbb gbbbbg dgg ``` <!-- end of image --> Area A contains 2 intersections. Time to investigate another area. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#c5163aff b,#03d2f3ff c,#dc7489ff d,#8eeaf9ff e,#d2f6fcff f,#d0435fff g,#46ddf5ff ``` ```image dbbbbe gbbbb gbbbg bbbbd ebbbbd dbbbbe gbbbb gbbbg bbbbd ebbbbd dbbbbe gbbbb gbbbg bbbbd caaaa ebbbbd caaaa dbbbbe caaaa gbbbb caaaa gbbbg caaaa bbbbd caaaf ebbbbd caaaf dbbbbe caaaf dbbbb caaaf gbbbg caaaf bbbbd caaaf ebbbbd caaaf dbbbbe caaaf dbbbb faaaf gbbbg faaaf bbbbg faaaf ebbbbd faaaf dbbbbe faaac dbbbb faaac gbbbg faaac bbbbg faaac ebbbbd faaac dbbbbe faaac dbbbb faaac gbbbg faaac bbbbg aaaac ebbbbd aaaac dbbbbe aaaac dbbbb aaaac gbbbg aaaac bbbbg aaaac ebbbbd aaaac ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area B. Answer: A: 2; B: 0; 2 + 0 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#c5163aff b,#05d2f2ff c,#de8699ff d,#aceffaff e,#efc7cfff f,#c5516dff g,#54e0f6ff ``` ```image dbb gbg bbd bb bb dbb gbb bbd bb bb dbb gbb bbd bb bb dbb gbb bbg bb bb dbb gbb bbg bb bb e dbb caa gbb caa bbg caa bbd caf bb faf dbb faf gbb faf bbg faf bbd faf bb faf bb fac gbb aac bbg aac bbd aac bb aac bb aac gbb aac bbg aac bbd aae bb aae bb aae dbb aae bbg aae bbd aae bb aae g bb aae dbbg dbb aa dbbbbbd bbg aa dbbbbbd bbd aa bbbbbg bb aa gbbbbb bb aa dbbbbbd dbb aa bbbbbg gbg aa gbbbbg bbd aa dbbbbbd bb aa dbbbbbd bb aa gbbbbg dbb aa gbbbbb gbg aa dbbbbbd bbd aa bbbbbg bb aa gbbbbg bb aa dbbbbbd dbb aa dbbbbbd gbg aa gbbbbg bbd aa gbbbbb bb aa dbbbbbd bb aa bbbbbg dbb aa gbbbbg gbg eecfaa dbbbbbd eecffaaaaaaaaaaaaaa eefffaaaaaaaaaaaaaaaaaaaaaaaaffe eeccfaaaaaaaaaaaaaaaaaaaaaaaaafcce eccfaaaaaaaaaaaaaaaaaaaaaaaaafccbbbbb dbb eccfaaaaaaaaaaaaaaaaaaaaaaaaafccee dbbbbbdgbb effaaaaaaaaaaaaaaaaaaaaaaaafccee bbbbbbd eaaaaaaaaaaaaafccee gbbb effcee dg ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#ac9932ff b,#7556c3ff c,#ddd6adff d,#aea3d5ff e,#bbb36dff f,#edeeeeff g,#afd6afff ``` ```image ff dbbb bbbbb bbbbbb bbbbbbbf dbbbdbbbbd bbbd fbbbbb ecf bbbf bbbbb aaaf bbb bbbbbf aaa fbbb dbbbbd aaa dbbb fbbbbb caaa bbbd bbbbb eaae bbb bbbbb aaac bbb dbbbbf aaaf dbbb fbbbbd aaa bbbd fbbbbb aaa bbbf bbbbb faaa bbb bbbbbf caaa fbbb dbbbbd eaae dbbb fbbbbb aaac bbbd bbbbb aaa bbb bbbbbf aaa bbb dbbbbf faaa dbbb fbbbbb caaa bbbd fbbbbbd eaae bbbf bbbbbbf aaac bbb fbbbbbb aaa fbbb dbbbbbd aaa dbbb caf bbbbbbf gggggggggggggaaagggggg bbbd aaa fbbbbbb fggggggggggggeaaagggggg bbb aaaa dbbbbbd fggggggggggggeaaegggggg bbb faaaaa bbbbbbf fggggggggggggaaaegggggg dbbb caaaaae fbbbbbbfggggggggggggaaaggggggg bbbd caaaaaac dbbbbbbgggggggggggaaaggggggg bbbf eaaeaaaa bbbbbbggggggggggaaaggggggg bbb aaac aaaa fbbbbbbggggggggaaaggggggg fbbb aaac faaaa dbbbbbbgggggeaaaggggggg dbbb aaaf caaae fgbbbbbbdgggaaaeggggggg bbbd aaa eaaac fgggbbbbbbggaaagggggggg bbb aaa aaaa fggggdbbbbbbaaagggggggg bbb aaa aaaa fggggggbbbbbaaagggggggg dbbb aaa faaaa fggggggggbbbaaagggggggg bbbd faaa caaae fgggggggggdeaaabbgggggg bbbf caaa eaaac fggggggggggaaaebbbdgggg bbb caaa aaaa fggggggggggaaabbbbbbggg fbbb eaae aaaa fggggggggggaaagdbbbbdgg dbbb eaac faaaa fggggggggggaaagggbbbggg bbbd aaac caaae fggggggggggaaaggggggggg bbb aaaf eaaac fgggggggggeaaaggggggggg bbb aaa aaaa fgggggggggaaaeggggggggg dbbb aaa aaaa fgggggggggaaaeggggggggg bbbd aaa faaaa fgggggggggaaagggggggggg bbbf aaa caaae fgggggggggaaagggggggggg bbb aaa eaaac fgggggggggaaagggggggggg fbbb faaa aaaa fggggggggeaaagggggggggg dbbb eaaa aaaa fggggggggeaaegggggggggg ffffffbbbdffffff caaaae faaaa ggggggggaaaegggggggggg ggggggbbbgggggggf caaaaaaf caaae aaaf ggggggbbbgggggggf eaaaaaae eaaac aaa gggggdbbbgggggggf eaaaaaae aaaa aaa gggggbbbdgggggggeaaaaaac aaaa caaa gggggbbbggggggeaaaaaac faaaa eaae gggggbbbggggaaaaaaac caaae aaac gggggbbbggaaaaaaac eaaac aaaf ggggbbbbgaaaaaaef aaaa aaa ggggbbbdaaaaagggf aaaa aaa ggggbbbaaaaaggggf faaaa faaa ggggbbaaaaagggggf caaae caaa gggdbaaaaaggggggf eaaac eaac gggbeaaaagggggggf aaaaf aaaf gggbaaaaggggggggf aaaa aaa gggaaaagggggggggf faaaa aaa ggaaaaggggggggggf caaae faaa ggaaabggggggggggf eaaac caaa ggbabdggggggggggf aaaaf eaae ggbbbgggggggggggf aaaa aaac gggdbgggggggggggf faaaaaaa ggggggggggggggggf caaaaaa ggggggggggggggggf eaaaaa ggggggggggggggggf aaaaa ggggggggggggggggf aaae ggggggggggggggggf faa ggggggggggggggggf ggggggggggggggggf ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#ac9931ff b,#7455c2ff c,#e9e4cbff d,#cdc2e9ff e,#bbac5dff f,#957d69ff g,#a18bd3ff ``` ```image bbbbbbd dbbbbbb gbbbbbb gbbbbbg bbbbbbd dbbbbbbd dbbbbbb gbbbbbg bbbbbbg bbbbbbd ce dbbbbbb ceaa gbbbbbb ceaaaa gbbbbbg ceaaaaaa bbbbbbd ceaaaaaaaa dbbbbbbd ceaaaaaaaaaa dbbbbbb caaaaaaaaaaaa gbbbbbg caaaaaaaaaaaec bbbbbbg caaaaaaaaaaec bbbbbbd eaaaaaaaaec dbbbbbbceaaaaaaaec gbbbbbbeaaaaaaae gbbbbbeaaaaaaae bbbbbfaaaaaaae dbbbbfaaaaaaae dbbbfaaaaaaaac gbbfaaaaaaaac bbfaaaaaaaac bfaaaaaaaac dfaaaaaaaac gaaaaaaaac caaaaaaaac caaaaaaaac caaaaaaaae ceaaaaaaf aaaaafg baaafbg bbffbbd dbbbbbb gbbbbbb gbbbbbg dggbd ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Let's inspect the next region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#ac9932ff b,#7454c2ff c,#dbd3a6ff d,#bdafe0ff e,#bfb06cff f,#e8e3e4ff g,#947bd0ff ``` ```image aaaaaac faaaaaaf caaaaaa caaaaaa eaaaaae eaaaaac aaaaaac faaaaaaf caaaaaa gf caaaaaa bbgf eaaaaae bbbbd eaaaaae bbbbbgf aaaaaac bbbbbbbgf faaaaaaf bbbbbbbbbd faaaaaaf bbbbbbbbbbgf caaaaaa dbbbbbbbbbbbgf eaaaaae fgbbbbbbbbbbbd eaaaaae fgbbbbbbbbbbgf aaaaaac dbbbbbbbbbbbgf aaaaaac fgbbbbbbbbbbbd faaaaaaf fgbbbbbbbbbbgd caaaaaa dbbbbbbbbbbbgeaaaaae fgbbbbbbbbbbaaaaaae fgbbbbbbbbaaaaaac dbbbbbbbaaaaaac gbbbbbaaaaaad fgbbbaaaaaabbd dbeaaaaaabbbgf eaaaaaabbbbbd eaaaaaebbbbbbbd aaaaaabbbbbbbbbgf faaaaaabbbbbbbbbbbd caaaaaafgbbbbbbbbbbg caaaaaa dbbbbbbbbbd eaaaaae dbbbbbbg eaaaaae fgbbbbf aaaaaac dbbd faaaaaaf d faaaaaaf caaaaaa eaaaaae eaaaaae aaaaaac aaaaaac faaaaaaf caaaaaa caaaaae eaaaaae aaaaaac aaaaaac faaaaaaf caaaaaa caaaaaa eaaaaae ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ac9932ff b,#7455c3ff c,#ded7aeff d,#c6bae6ff e,#c0b26cff f,#ece8ebff g,#9d87d4ff ``` ```image ff dbbg bbbbb bbbbbb bbbbbbbd dbbbdbbbbg gbbg fbbbbb ecf bbbf bbbbb aaaf bbb gbbbbf aaa fbbb dbbbbd aaa gbbb fbbbbg caaa bbbd bbbbb eaae bbb bbbbb aaac bbb gbbbbd aaaf dbbb dbbbbg aaa gbbg fbbbbb aaa bbbf bbbbb faaa bbb gbbbbf caaa fbbb dbbbbd eaae gbbb fbbbbg aaaf bbbd bbbbb aaa bbb bbbbb aaa bbb gbbbbd faaa dbbb dbbbbb caaa gbbg fbbbbbd eaae bbbf bbbbbbf aaac bbb fbbbbbb aaa fbbb gbbbbbg aaa gbbb caf bbbbbbf aaa bbbd aaa fbbbbbb caaa bbb aaaa gbbbbbg eaae bbb faaaaa bbbbbbf aaac dbbb caaaaae fbbbbbb aaaf bbbg caaaaaac dbbbbbg aaa bbbf eaaeaaaa bbbbbbf aaa bbb aaac aaaa fbbbbbb caaa fbbb aaac faaaa dbbbbbg eaae gbbg aaaf caaae bbbbbbd aaac bbbd aaa eaaac fbbbbbb aaaf bbb aaa aaaa dbbbbbgaaa bbb aaa aaaa gbbbbaaa dbbb aaa faaaa fbbbaaa bbbg faaa caaae deaaabg bbbf caaa eaaac eaaebbbd bbb caaa aaaa aaabbbbbb fbbb eaae aaaa aaa dbbbbd gbbg eaac faaaa aaa gbb bbbd aaac caaae faaa bbb aaaf eaaac caaa bbb aaa aaaa eaae dbbb aaa aaaa aaac bbbg aaa faaaa aaa bbbf aaa caaae aaa bbb aaa eaaac aaa fbbb faaa aaaa caaa gbbg eaaa aaaa eaae bbbd caaaae faaaa aaac bbb caaaaaaf caaae aaa bbb eaaaaaae eaaac aaa dbbb eaaaaaae aaaa aaa bbbg eaaaaaac aaaa caaa bbbf eaaaaaac faaaa eaae bbb eaaaaaac caaae aaac fbbb eaaaaaac eaaac aaaf gbbg aaaaaac aaaa aaa bbbdaaaaac aaaa aaa bbbeaaae faaaa faaa bbaaaae caaae caaa dbaaaaa eaaac eaac beaaaa aaaa aaaf baaaa aaaa aaa caaaa faaaa aaa faaaa caaae faaa aaag eaaac caaa babd aaaa eaae bbb aaaa aaac fgb faaaaaaa caaaaaa eaaaaa aaaaa aaae faa ``` <!-- end of image -->
[ "" ]
I'm ready to tackle this image and find those intersections! The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#4a42deff b,#a39455ff c,#bdb6f9ff d,#2008ecff e,#b2d7b1ff f,#777ed2ff g,#99c795ff ``` ```image dd dda ddd fddd dddd ddddf ddddd cddadd addcdd dda ddc ddc dda dd add fdd cdd ddd dd ddf ddf ddc ddd cdd fdd eggggggggggggggaddgggggddgggggggggggggggggggggggggggggggggggggggggge geeeeeeeeeeeeeedddeeeeeddfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeddfeeeeeddaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeddeeeeeeaddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeefddeeeeeefddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeedddeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeddaeeeeeeeddaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeddfeeeeeeedddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeefddeeeeeeeeaddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeaddeeeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeedddeeeeeeeeeddfbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeddfeeeeeeeeeddbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeddeeeeeeeeeebbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeefddeeeeeeeeebbbbgebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeedddeeeeeeebbbbbdgeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeddaeeeeegbbbbeddaeegbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeddfeeeebbbbbeedddeeebbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeegddeeegbbbbeeeefddeeeebbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeaddeebbbbgeeeeeeddeeeeebbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeedddgbbbbeeeeeeeeddfeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeddbbbbgeeeeeeeeedddeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeebbbbbeeeeeeeeeeeaddeeeeeegbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeebbbbbbgeeeeeeeeeeeegdddeeeeeegbbbeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeebbbbbbbbeeeeeeeeeeeeeeefdddeeeeeebbbbeeeeeeeeeeeeeeeeeeeeeeeeeg gegbbbbbbbddaeeeeeeeeeeeeeeeefdddeeeeeebbbgeeeeeeeeeeeeeeeeeeeeeeeeg ebbbbbbbgeeddfeeeeeeeeeeeeeeeeeadddeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeeg ebbbbbbbgeeeeeddeeeeeeeeeeeeeeeeeeeadddeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeeg ebbbbbbbgeeeeeeeaddeeeeeeeeeeeeeeeeeeeeadddeeeeeebbbeeeeeeeeeeeeeeeeeeeeeeg bbbbbbbe geeeeeeeedddeeeeeeeeeeeeeeeeeeeeeadddeeeeegbbbeeeeeeeeeeeeeeeeeeeeeg bbbbbbbe geeeeeeeeddaeeeeeeeeeeeeeeeeeeeeeeadddeeeeegbbbeeeeeeeeeeeeeeeeeeeeg ebbbe geeeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeebbbgeeeeeeeeeeeeeeeeeeegbg g geeeeeeefddeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeebbbgeeeeeeeeeeeeeeeeeebbb geeeeeeeaddeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeebbbeeeeeeeeeeeeeeeeeebbb geeeeeeeddaeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeebbbeeeeeeeeeeeeeeeeebbe geeeeeeeddfeeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeeebbbeeeeeeeeeeeeeeeebb geeeeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeegbbbeeeeeeeeeeeeeeebb geeeeeefddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadddeeeebbbbeeeeeeeeeeeeegbb geeeeeedddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddddeeeebbbgeeeeeeeeeeeebbb geeeeeeddaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeeebbbgeeeeeeeeeeebbb geeeeeeddgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeeebbbeeeeeeeeeeebbe geeeeefddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeeebbbeeeeeeeeeebbe geeeeeaddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeeebbbeeeeeeeeebb geeeeedddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeegbbbeeeeeeegbb geeeeeddfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeebbbbeeeeeebbb geeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeebbbgeeeeebbb geeegdddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeebbbgeeeebbb geeddddaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeebbbeeeebbg gfddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeeebbbeeebbg ddddaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddaeegbbbegbbg fddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeegbbbbbbg ddddfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeebbbbbbg addddgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeebbbbbg cddddc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeebbbgg dddda geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeebbeg fdddd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeeeeg ddddf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeeeg dddd geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeeg dc geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddfg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddf geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddc egggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdddc ddd dc ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#5d4ceeff b,#a49353ff c,#cac5faff d,#2008ecff e,#c1b68aff f,#978cf5ff g,#e3decbff ``` ```image fdddf fddda adddc cdddd cdddd adddc fddda fdddf adddf cddda adddc dddd dddd adddc fdddf fddda adddf cdddd ddddc ddddc cdddd adddf fddda fdddf adddc dddd dddd ddddc cdddd ddddf fdddd dddda adddd ddddd ddddd adddd ebbb dddda fddddbbbbbg ddddf cdddbbbbbbbg ddddc dabbbbbbbbbg dddd bbbbbbbbbbbb fddda gebbbbbbg ebbbbe adddf ebbbbbbbd bbbbb ddddc bbbbbbbbddc bbbbbg dddd ebbbbbbfdddf gbbbbbg cddda gbbbbbbegfddda gbbbbb adddc bbbbbbbe dddd ebbbbe dddd ebbbbbbg adddc ebbbbe cddda gbbbbbbb fdddf bbbbb fddda gebbbbbbbg cddda bbbbbg adddf bbbbbbbe dddd gbbbbbg dddd ebbbbbbb adddf ebbbbe cdddabbbbbbbeg fddda ebbbbe fdddbbbbbbbg cdddd bbbbbe adabbbbbbe dddd bbbbb gbbbbbbbbe ddddd gbbbbbg gebbbbbbbbbg dddddf ebbbbb gbbbbbbbbbbe fdddddf ebbbbe gebbbbbbbbbbbb fdddddf ebbbbe gbbbbbbbbbbbbadd fdddddf bbbbbe gbbbbbbbbbbbbeg ddddf fddddd bbbbbg bbbbbbbbbbbbg ddddc dddddf gbbbbbg bbbbbbbbbeg ddddc adddddc ebbbbb bbbbbbbg cdddd adddddc ebbbbe bbbbeg fddda adddddc ebbbbe g adddc addddd gbbbbg dddd dddddc bbbbbg cddda adddddc gbbbbb fdddf adddddc ebbbbb adddf adddddc ebbbbe cdddd addddd bbbbb fddda dddddc bbbbbg fdddf adddddc gbbbbbg adddc adddddc gbbbbb dddd adddddc ebbbbe g fddda addddd bbbbbe e adddf dddddc bbbbb e ddddc adddddc bbbbbg b dddd adddddc gbbbbbg b cdddd adddddc ebbbbb gb adddd adddd ebbbbe eb ddddd dddda bbbbbe eb dddda ddddda gbbbbb bb dddda cddddda bbbbbg bb ddddf cddddda gbbbbbg bb dddd cddddd ebbbbe bb cddda ddddda ebbbbe bb fdddf cddddda bbbbbe bb adddc cddddda gbbbbb bb cdddd cddddda gbbbbb gbb fddda cddddd ebbbbb ebb adddf ddddda ebbbbe ebb adddc cddddda ebbbbe bbb dddd cddddda bbbbbg bbb caddddf cddddda bbbbbg gbbb ddddddc cddddd gbbbbb gbbb cdddddda ddddda ebbbbe ebbb addddddd cddddda ebbbbe ebbb fdddddddac cddddda bbbbbe bbbb fdddddda cddddda gbbbbb gbbbe ddddddd fddddd bbbbbg gbbbe dddddf dddddf ebbbbb ebbbg dddac fdddddf ebbbbeebbbg ddf fdddddf ebbbbbbbb c fdddddf gbbbbbbe fddddd gbbbbbe dddddf bbbbbg fdddddf ebbbbg fdddddf ebbb fdddddf fddddd dddddf fdddddf fdddddf adddddc addddd dddddc adddddc addddd addd add ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4a37f0ff b,#a49354ff c,#b1a9f8ff d,#2008ecff e,#c9bf99ff f,#7a6cf3ff g,#e3dee3ff ``` ```image ddg dda gddd fddd dddd ddddf ddddd cddfdd addgdd dda ddc ddc dda gdd add fdd cdd ddd ddg ddf ddf ddg ddd cdd fdd add gdd dda ddc ddc dda dd add fdd cdd ddd ddg ddf ddf ddc ddd cdd fdd fdd gdd ddd ddcebe ddf ddbbbbg dd bbbbbbb cdd gbbbbg bbb add bbbbbdg gbbb dda gbbbbgddf ebbb ddc bbbbe ddd ebbe gdd ebbbb fdd bbbe fdd bbbbe gdd bbbg dddebbbb ddc bbb ddbbbbe dda bbb bbbbb add gbbb ebbbbbg gddd ebbb ebbbbbbb fddd ebbe ebbbbbbbdda fddd bbbg ebbbbbbbg ddc fddd bbbg ebbbbbbbg gdd fddd bbb gbbbbbbbg fdd fddd bbb gbbbbbbbe ddd fddd gbbb bbbbbbbe ddf fddd ebbb ebbbe ddg addd bbbe ebe e cdd addd bbbg bbb add addd bbb bbb dda addd bbb bbe ddc addd gbbb bbg gdd adda gbbb bb fdd adda ebbe ebb ddd adda bbbe ebb ddf adda bbbg bbb ddg adda bbb bbe cdd ddda bbb bbg add ddda gbbb bb dda ddda ebbb gbb ddc ddda ebbe ebb dd ddda bbbe bbb gddd dddf bbbg bbe addda dddf bbb bbg cddddg dddf bbb bb ddddf dddf gbbb gbb fdddd dddf ebbbebb gddddc dddf ebbbbb adddd dddf bbbbe cddddc dddf bbbe dddda dddc bb fddddg dddc ddddf dddc dddd dddc dc dddc dddc dddc dddc dddc ddd dc ``` <!-- 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,#2de618ff b,#c51467ff c,#93ce91ff d,#c28c9cff e,#5fdd51ff f,#b1d7b1ff g,#bd527cff ``` ```image fcccccccccccccccccccccccccccccccccccccccccccccccc cffffffffffffffffffffffffffffffffffffffffffffffff cffffffffffffffffffffffffffffffffffffffffffffffff cffffffffffffffffffffffffffffffffffbdffffffffffff cfffffffffffffffffffffffffffffffffdbbffffffffffff cfffffffffffffffffffffffffffffffffgbbffffffffffff cfffffffffffffffffffffffffffffffffbbbdfffffffffff cfffffffffffffffffffffffffffffffffbbbbfffffffffff cfffffffffffffffffffcacfffffffffffbbbbfffffffffff cfffffffffffffffffffaaacfffffffffdbbbbfffffffffff cffffffffffffffffffaaaaaeffffffffgbdgbgffffffffff cfffffffffffffffffcaafcaaefffffffbbffbbffffffffff cfffffffffffffffffaaeffcaaaffffffbbffbbffffffffff cffffffffffffffffeaafffffaaafffffbbffbbdfffffffff cffffffffffffffffaafffffffaaafffdbbffdbbfffffffff cfffffffffffffffaaeffffffffaaacfgbgfffbbfffffffff cffffffffffffffcaaffffffffffaaacbbffffbbfffffffff cffffffffffffffaacfffffffffffeaagbffffgbgffffffff cfffffffffffffaaafffffffffffffeaaefffffbbffffffff cfffffffffffffaafffffffffffffffcaaaffffbbffffffff cfffffffffffffaafffffffffffffffgbaaafffbbdfffffff cffffffffffffcaafffffffffffffffbbfaaaffdbbfffffff cffffffffffffcaafffffffffffffffbbffaaaffbbfffffff cffffffffffffeaefffffffffffffffbbfffaaacbbfffffff cffffffffffffeaeffffffffffffffdbbffffaaacbgffffff cffffffffffffeaeffffffffffffffgbgfffffeaaebffffff cffffffffffffaacffffffffffffffbbfffffffeaabffffff cffffffffffffaacffffffffffffffbbffffffffaabdfffff cffffffffffffaafffffffffffffffbbffffffffaabbfffff cffffffffffffaaffffffffffffffdbbffffffffaagbfffff cffffffffffffaaffffffffffffffgbgffffffffeagbfffff cffffffffffffaaffffffffffffffbbdffffffffeaebgffff cffffffffffffaaffffffffffffffbbfffffffffeaebbffff cffffffffffffaaffffffffffffffbbfffffffffcaebbffff cffffffffffffaaffffffffffffffbbfffffffffcaabbdfff cffffffffffffaafffffffffffffgbgffffffffffaadbbfff cfffffffffffcaafffffffffffffbbdffffffffffaaffffff cfffffffffffcaafffffffffffffbbfffffffffffaaffffff cfffffffffffeaefffffffffffffbbfffffffffffaaffffff cfffffffffffeaefffffffffffffbbfffffffffffaaffffff cfffffffffffeacffffffffffffgbgfffffffffffaaffffff cfffffffffffaacffffffffffffbbdfffffffffffaaffffff cfffffffffffaacffffffffffffbbffffffffffffaaffffff cfffffffffffaafffffffffffffbbffffffffffffaacfffff cfffffffffffaafffffffffffffbbffffffffffffaacfffff cfffffffffffaaffffffffffffgbgffffffffffffeaefffff cfffffffffffaaffffffffffffbbdffffffffffffeaefffff cfffffffffffaaffffffffffffbbfffffffffffffeaefffff cfffffffffffaaffffffffffffbbfffffffffffffcaafffff cfffffffffffaaffffffffffffbbfffffffffffffcaafffff cffffffffffcaafffffffffffdbgffffffffffffffaafffff cffffffffffcaafffffffffffbbdffffffffffffffaafffff cffffffffffcaefffffffffffbbfffffffffffffffaafffff cffffffffffeaefffffffffffbbfffffffffffffffaafffff bbd cffffffffffeaefffffffffffbbfffffffffffffffaafffff dbbbbbbd cffffffffffeacffffffffffdbgfffffffffffffffaafffff fgbbbbbbbg cffffffffffaacffffffffffbbdfffffffffffffffaafffff gbbbbbbbgf cffffffffffaafffffffffffbbffffffffffffffffaafffff dbbbbbbbgd cffffffffffaafffffffffffbbffffffffffffffffaacffff dbbbbbbbbd cffffffffffaafffffffffffbbffffffffffffffffaacffff dbbbbbbbbd cffffffffffaaffffffffffdbgffffffffffffffffeaeffff fgbbbbbbbd cffffffffffaaffffffffffbbdffffffffffffffffeaeffff gbbbbbbbgdfffffffffaaffffffffffbbfffffffffffffffffeaeffff dbbbbbbbgdfffffaaffffffffffbbfffffffffffffffffcaaffff gbbbbbbbbdfaaffffffffffbbfffffffffffffffffcaaffff cfffdbbbbbbaadffffffffdbgffffffffffffffffffaaffff cfffffffdbgaabbbbgffffgbdffffffffffffffffffaaffff cfffffffffeaegbbbbbbbgbbfffffffffffffffffffaaffff cfffffffffeaeffffgbbbbbbfffffffffffffffffffaaffff cfffffffffeaeffffffffgbgfffffffffffffffffffaaffff cfffffffffaacffffffffffffffffffffffffffffffaaffff cfffffffffaacffffffffffffffffffffffffffffffaaffff cfffffffffaafffffffffffffffffffffffffffffffaaffff cfffffffffaafffffffffffffffffffffffffffffffaacfff cfffffffffaafffffffffffffffffffffffffffffffeacfff cfffffffffaafffffffffffffffffffffffffffffffeaefff cfffffffffaafffffffffffffffffffffffffffffffeaefff cfffffffffaafffffffffffffffffffffffffffffffcaefff cfffffffffaafffffffffffffffffffffffffffffffceefff cfffffffffaafffffffffffffffffffffffffffffffffffff cffffffffcaafffffffffffffffffffffffffffffffffffff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeaaeeeeeeeeaafffffffffffffffffffffffffffffffffffff faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaefffffffffffffffffffffffffffffffffffff ffffeccceeeeeeeffffffffffffffffffffffffffffffffffffff cffffffffffffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#2de618ff b,#c61668ff c,#98f18eff d,#eebed5ff e,#62ea52ff f,#cdf8c8ff g,#db6b9fff ``` ```image dd bb dbbd gbbg bbbbd dbbbbd gbbbbb f gbbbbb aaaa bbbgbb aaaac bbbdbbd aaaaaaa bbg bbg caaacaaae bbd bbb aaaf aaaaf dbb gbbg caac faaaaf gbb dbbb eaaa eaaac bbb bbb aaae eaaac bbb gbb caac caaae gbbg bbd faaa faaae gbbg bbg aaac faaaafbbbd bbbd aae aaaabbb bbbd faaa eaaaeg dbbb eaaa aaaad bbb aae caaae dbb aaf gaaaaf dbbd faa bbbaaaa bbg faa dbbb caaae bbbd faa gbbg aaaa gbbg caa bbbd faaaadbbb caa bbbd aaaafbbb eaa bbg aaaabb eaa bbg eaaaebd eaa bbd aaaab aaa dbb caaabd aaa gbb faaabg faaa bbb aaabb faaa dbbb aaabb faae dbbb eaabb caae bbbd eaabbg caae bbbd eaabbg eaac bbb caabbbd eaac bbg caagbbg aaaf bbd faadbbb aaaf dbb faa bbb aaa gbb aa dbb aaa gbb aaf bb aaa dbbb aaf aae dbbb aaf aae gbbg aac aac bbbd aac aac bbb aae aac bbg aae aaf bbd aaa aaf dbb aaa aa gbb aaa faa gbb aaaf faa bbb aaaf caa dbbb eaaf caa gbbg eaac caa bbbd caac eaa bbb caae eaa bbg caae aaa bbd faaa aaa bb faaa aaa gbb aaa faaa gbb aaa faae bbb eaa caae dbbb eaa caae gbbg eaa caac bbbd caa eaac bbb caa eaac bbg caa aaaf bbd faa aaaf bbd faa aaa gbb aaf aaa gbb aaf aae bbb aaf aae dbbb aac aae gbbg aac aac bbbd aac bgd aac bbb aae bbbgg aaf bbg aae bbbbbbbbbgd aaf bbd aaa ggbbbbbbbbbbaa dbb aaa dgbbbbbbbbaagg dbb aaaf dgbbaabbbbbbgd bbb aaaf caabbbbbbbbbgd bbb eaaf caa dgbbbbbbbbbbbb eaac caa dgbbbbbbbbg caac eaa dbbg caae eaa caae aaa faaa aaa faaa aaa aaa faaa aaa faae eaa caae eaa caae eaa caac caa eaac caa eaac caa aaaf fec aaaf aaa aaa eeeeeeeeeeeecaae aaaaaaaaaaaaaaae aaaaaaaaaaaaaaac fffcccccccccccc ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2de718ff b,#c51567ff c,#a1f197ff d,#e8a3c3ff e,#67e655ff f,#dfeed7ff g,#d75d97ff ``` ```image bd dbb gbb bbbd bbbb caf bbbb aaac dbbbbf aaaaae gbdgbg faa caae bb bb aac faaa bb bb eaa aaa bb bbd aa aaa dbb dbb aae aaaf gbd bb caa aaafbbf bbf aaf eaaeb gbg eaa caae bb aa caaa bb aa gbaaa bbd faa bbfaaa dbb cae bb aaa bb cae bb aaafbbf eac dbb eaacbg eac gbg eaaeb aaf bbf caab aaf bb aabd aa bb aabb aa fbb aabb aa gbg eabbf aa bbf eaebg aa bb caebb aa bb caebb aa fbb faabbd aa gbg faadbb faa bbd aa f cae bb aa cae bb aa eac fbb aa eac gbg aa aaf bbd aa aaf bb aa aa bb aaf aa fbb aaf aa dbg eac aa bbd eac aa bb cae aa bb cae aa bb faa faa dbg aa faa bbd aa cae bb aa cae bb aa bbd eac bb aa dbbbbbbg eac dbg aa dgbbbbbbbgf aaf bbd aa fgbbbbbbbgd aaf bb aa gbbbbbbbbd aa bb aaf dbbbbbbbbd aa bb eac dbbbbbbbbg aa dbg eac dgbbbbbbbgf aa bbd cae dgbbbbbbbgd aa bb cae fgbbbbbbbgd aa bb faa gbbbbbbbbd aa bb faa dbbbbbbaad dbg aa dbbaabbbbg gbd aa caegbbbbbbbgbb aa cae fgbbbbbb aa eac gbg aa eac aa aaf aa aa aaf aa aaf aa eac aa eac aa cae aa cae aa fec aa faa faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeeeeeeeae faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae ffffffffccccccccccc ``` <!-- end of image -->
[ "" ]
Here's an image. My task is to find intersections or areas where lines come close together. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e41b8ff b,#0bcf3fff c,#8fd098ff d,#4975bbff e,#b1d7b1ff f,#4ad66eff g,#84a7c4ff ``` ```image aag aaaaae aaaaaaa aaa gaaaaa aad daaaad aaa daaaad aad aaaaaag aaa aaaaaaa aad gaaaaaad daa daaaaaag aaa gaaaaaad daa daaaaaag aaa aaaaaaae daa gaaaaaad aaa daaaaaag gaa aaaaaa aaa gaaa gaae aaa gaag aaa eaag aaa eaag aaa cccccccccccccccccccccccccccccccccccaadccc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeee eeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaadeeee eedaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeee eegaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeaadeeeee eeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeaageeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeee eeeaadeeeeeeeeeeeeeeeeeeeeeeeeeaaaeeeeeee eeeaaaeeeeeeeeeeeeeeeeeeeefeeeeaaaeeeeeee eeeaaaeeeeeeeeeeeeeeeeeeebbbeedaaeeeeeeee eeeaaaeeeeeeeeeeeeeeeeeecbbbceaaaeeeeeeee eeedaaeeeeeeeeeeeeeeeeeebbbbbdaaeeeeeeeee eeegaaeeeeeeeeeeeeeeeeeebbbbbaaaeeeeeeeee eeeeaaeeeeeeeeeeeeeeeeebbbebbbaceeeeeeeee eeeeaageeeeeeeeeeeeeeeebbbefbbaeeeeeeeeee eeeeaadeeeeeeeeeeeeeeebbbeedbbbeeeeeeeeee eeeeaaaeeeeeeeeeeeeeeebbbeeabbbeeeeeeeeee eeeeaaaeeeeeeeeeeeeeefbbeegaabbbeeeeeeeee eeeedaaeeeeeeeeeeeeeebbbeeaaafbbeeeeeeeee fbb eeeedaaeeeeeeeeeeeeefbbcegaagebbbeeeeeeee bbb eeeegaaeeeeeeeeeeeeebbbeeaaaeebbbeeeeeeee bbb eeeeeaageeeeeeeeeeefbbcegaadeeebbbeeeeeee bbb eeeeeaageeeeeeeeeeebbbeeaaaeeeebbbeeeeeee bbb eeeeeaadeeeeeeeeeecbbcecaadeeeeebbbeeeeee bbb eeeeeaaaeeeeeeeeeebbbeeaaaeeeeeebbbeeeeee bbb eeeeeaaaeeeeeeeeecbbfeeaadeeeeeeebbbeeeee bbb eeeeedaaeeeeeeeeebbbeeaaaeeeeeeeebbbbceee bbf eeeeedaaeeeeeeeecbbfeeaadeeeeeeeeebbbbbee bbf eeeeegaaeeeeeeeebbbeeaaaeeeeeeeeeeecbbbbf bbf eeeeeeaageeeeeeebbfeeaaaeeeeeeeeeeeeefbbbbe bbf eeeeeeaadeeeeeebbbeeaaaeeeeeeeeeeeeeeeebbbbb bbc eeeeeeaadeeeeeebbbeeaaaeeeeeeeeeeeeeeeeecbbbbf bbc eeeeeeaaaeeeeebbbeedaaeeeeeeeeeeeeeeeeeee cbbbbc bbe eeeeeeaaaeeeecbbfeeaaaeeeeeeeeeeeeeeeeeee bbbbb bbe eeeeeedaaeeeebbbeedaaeeeeeeeeeeeeeeeeeeee bbbbb bbe eeeeeegaaeeefbbfeeaaaeeeeeeeeeeeeeeeeeeee cbbbbf bbe eeeeeegaaeeebbbeedaaceeeeeeeeeeeeeeeeeeee fbbbbe bb eeeeeeeaagefbbceeaaaeeeeeeeeeeeeeeeeeeeee bbbbb bb eeeeeeeaadebbbeedaageeeeeeeeeeeeeeeeeeeee ebbbbf bb eeeeeeeaadbbbeeeaaaeeeeeeeeeeeeeeeeeeeeee fbbbbe ebb eeeeeeeaaabbbeegaageeeeeeeeeeeeeeeeeeeeee bbbbb ebb eeeeeeeaabbbeeeaaaeeeeeeeeeeeeeeeeeeeeeee ebbbbf ebb eeeeeeedabbfeegaageeeeeeeeeeeeeeeeeeeeeee fbbbbc ebb eeeeeeegbbbeeeaaaeeeeeeeeeeeeeeeeeeeeeeee bbbbb cbb eeeeeeefbbfeegaadeeeeeeeeeeeeeeeeeeeeeeee ebbbbb cbb eeeeeeebbbgeeaaaeeeeeeeeeeeeeeeeeeeeeeeee cbbbbc fbb eeeeeefbbadecaadeeeeeeeeeeeeeeeeeeeeeeeee bbbbbe fbb eeeeeebbbaaeaaaeeeeeeeeeeeeeeeeeeeeeeeeee bbbbb fbb eeeeebbbaaaeaadeeeeeeeeeeeeeeeeeeeeeeeeee cbbbbf fbb eeeeebbbaaaaaaeeeeeeeeeeeeeeeeeeeeeeeeeee fbbbbe bbb eeeebbbedaaaadeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbb bbb eeecbbfegaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeee ebbbbfbbb eeebbbeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeee fbbbbbb eefbbfeeeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeee bbbbb eebbbeeeeaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeee ebbf eeecceeeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#0e41b8ff b,#0ace3fff c,#91e9a8ff d,#4a70caff e,#cce1e7ff f,#47da6fff g,#8ea6deff ``` ```image eaaaag daaaae eaaaad ggdde gaaaae aaaae aaaad aaaag gaaaae aaaag aaaad aaaad gaaaae aaaad aaaaa aaaaa aaaaad aaaaae gaaaaag aaaaag daaaad daaaag gaaaaag daaaag daaaaa gaaaad eaaaaag gaaaad cfc daaaaa eaaaaa fbbbf eaaaaag eaaaaa ebbbbbe daaaaa aaaaae fbbbbbf eaaaaag daaaag bbbbbbbe daaaaa daaaag bbbbbbbf eaaaaag gaaaad bbbbbbbbedaaaaa gaaaad cbbbbbbbbfaaaaag gaaaad bbbbbbbbbbaaaaae eaaaaa cbbbbcbbbbbbaaad aaaaae bbbbf fbbbbbaaae aaaaae cbbbbe ebbbbbbad daaaag bbbbf fbbbbbae gaaaad fbbbf gbbbbbbe gaaaad cbbbbc aabbbbbc eaaaaa fbbbb gaabbbbbb eaaaaa ebbbbb aaaabbbbbc aaaaae fbbbbb gaaaabbbbbb aaaaae ebbbbbc daaaadbbbbbc daaaag fbbbbb gaaaaagfbbbbb daaaag ebbbbbc daaaaa ebbbbbc gaaaad fbbbbbe eaaaaag fbbbbb gaaaad bbbbbf daaaaa ebbbbbc eaaaaa cbbbbbe eaaaaag fbbbbb eaaaaa bbbbbf daaaaa cbbbbbc aaaaae cbbbbbe aaaaag fbbbbb aaaaae bbbbbf aaaaa cbbbbbc daaaag cbbbbbe eaaaag fbbbbf daaaag bbbbbf daaaa cbbbbbc gaaaad cbbbbbc eaaaag bbbbbf gaaaad fbbbbf daaaae cbbbbbc eaaaaa cbbbbbc eaaaad bbbbbf aaaaae ebbbbbc aaaad bbbbbe aaaaag fbbbbb gaaaae cbbbbbc daaaag ebbbbbc aaaad bbbbbbbc daaaag fbbbbb gaaaae cbbbbbbbfe gaaaad ebbbbbc aaaaa cbbbbbbbbc gaaaad fbbbbbe gaaaaa efbbbbbbbbc eaaaaa bbbbbf aaaaad bbbbbbbbbf eaaaaa cbbbbbe gaaaaae cbbbbbbbb aaaaae bbbbbf daaaad efbbbbbb daaaag cbbbbbe gaaaaag efbbbb daaaag bbbbbf daaaad cbbb gaaaad cbbbbbe eaaaaag fb gaaaad bbbbbf daaaaa e gaaaad cbbbbbc eaaaaag eaaaaa bbbbbf daaaaa aaaaae fbbbbbe eaaaaag aaaaae bbbbbf daaaaa daaaag bbbbbe eaaaaag gaaaad fbbbbe eaaaaag gaaaad cbbbbc daaaaae eaaaaa bbbbb eaaaaad eaaaaa cbbbbc gaaaaae aaaaae ebbbbf aaaaad aaaaae fbbbbe gaaaaae daaaag ebbbbf aaaaad daaaag fbbbbe gaaaaae gaaaad cbbbbb aaaaad gaaaad fbbbbb gaaaaae eaaaaacbbbbbc aaaaad eaaaaabbbbbb gaaaaae aaaabbbbbbc aaaaad aaaabbbbbf gaaaaag daabbbbbbe daaaad daabbbbbf gaaaaag gabbbbbbe daaaaa gabbbbbc eaaaaag ebbbbbb daaaaa bbbbbbe aaaaa cbbbbbag eaaaag ebbbbbbag daaaa fbbbbbaag eaaaag ebbbbbbaad daaaae fbbbbbaaad eaaaad cbbbbbbaaaa gaaaae bbbbbbaaaaae aaaad cbbbbbcaaaaaegaaaae bbbbbf daaaagaaaad cbbbbbc daaaaaaaaae ebbbbbf gaaaaaaaaa fbbbbbe gaaaaaaaaa ebbbbbf gaaaaaaaad fbbbbbe eaaaaaaaae cbbbbbc aaaaaaad bbbbbb aaaaaaag bbbbbc daaaaad bbbbf daaaaag fbbf eaaaag efe gaag ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#0f41b9ff b,#0acf3fff c,#90e8a8ff d,#567aceff e,#d3eae6ff f,#48db6fff g,#9bb0e1ff ``` ```image eaag aaaaae eaaaaaaae aaa gaaaaa aad daaaad aaa daaaad aad aaaaaag aaa eaaaaaaae aaa daaaaaad daa eaaaaaaag aaa gaaaaaaae daa daaaaaad aaa eaaaaaaag daae gaaaaaad aaa daaaaaag daae eaaaaaa aaa gaaa gaae e aaa gaag aaa gaag aaa eaag aaa eaad aaa aaa aad daa aaa gaa aad eaa aaa aag aaa aad daa aaa f aaa aaa bbb daa aaa ebbbe aaa daa bbbbbdaae gaa bbbbbaaa aae bbb bbbae aag bbf fbba aad fbb gbbb aaa bbb abbbe aaa fbb gaabbb daa bbb aaafbb fbb gaa fbbe gaag bbb bbb gaa bbb aaa fbb bbb aae cbbe eaag bbb bbb aag bbb aaa fbb bbb aad cbbc eaad bbf bbb aaa bbb aaa bbb bbb aaa ebbc eaad bbf bbb daa bbb aaa bbbbc bbf gaa ebbc aad bbbbb bbf eaa bbb aaa cbbbbf bbf aae bbf aad fbbbbc bbf aag bbb daa bbbbbe bbc aad bbf aaa ebbbbf bbc aaa bbb daa cbbbbc bbc aaa ebbf aaa bbbbbe bbc daa bbb daae ebbbbb bbe gaa cbbc aaa cbbbbf bbe eaa bbb daae fbbbbe bbe aag fbbe aaa bbbbb bb aag bbb gaae cbbbbf ebb aadfbbe aaa fbbbbc ebb aaabbb gaag bbbbb ebb aabbb aaa ebbbbf cbb dabbf gaag fbbbbc cbb gbbb aaa bbbbbe cbb cbbc eaag ebbbbb cbb bbbg aaa cbbbbc fbb fbbad eaad bbbbbe fbb bbbaa aaa ebbbbb fbb bbbaaaeaad cbbbbf fbb bbfaaaaaa fbbbbe bbb bbb daaaad bbbbb bbb ebbf gaaaa cbbbbfbbb bbb aaad fbbbbbb cbbc aaa bbbbb bbb aaa ebbf ee ga ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#58828fff b,#c92514ff c,#0b3b6eff d,#c79881ff e,#a2cba4ff f,#c55c48ff g,#b2d7b2ff ``` ```image egggggggggggggggggggggggggggggggggg egggggggggggggggggggggggggggggggggg egggggggggggggggggggggggggggggggggg egggggggggggggggdfbbdgggggggggegggg eggggggggedfbbbbbbbbbbbbfeggeccaggg eggdfbbbbbbbbbbfdgggdfbbbbbccccgggg dfbbbbbbbbbfdegggggggggggggaccccbbfggg gdfbbbbbbbbbfdggggggggggggggggggacccaggdfeggg dfbbbbbbbbbfd egggggggggggggggggggacccagggggggggg dfbbbbbbbbbfd egggggggggggggggggacccagggggggggggg eeeeeeeeeeeeeeeeeeeeeeedfbbbbbbbbbfdg egggggggggggggggacccagggggggggggggg ggggggggggggggggedfbbbbbbbbbfdege egggggggggggggacccagggggggggggggggg gggggggggggggggdbbbbbbfdgggggggge egggggggggggccccegggggggggggggggggg gggggggggggggggbbegggggggggggggge egggggggggccccegggggggggggggggggggg gggggggggggggggbbggggggggggggggge eggggggeccccegggggggggggggggggggggg gggggggggggggggbfggggggggggggggge eggggeccccegggggggggggggggggggggggg ggggggggggggggfbeggggggggcaggggge eggeccccegggggggggggggggggggggggggg ggggggggggggggbbgggggggggccggggge eeccccggggggggggggggggggggggggggggg ggggggggggggggbbggggggggeccggggge gccccggggggggggggggggggggggggggggggg gggggggggggggdbdggggggggaccggggge ecccaggggggggggggggggggggggggggggggggg gggggggggggggfbgggggggggaccggggge ecccaegggggggggggggggggggggggggggggggggg gggggggggggggbbgggggggggcccggggge accca eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee gggggggggggggbfgggggggggcccggggge accce ggggggggggggdbdgggggggggcccggggge accce ggggggggggggbbggggggggggcccggggge acccg ggggggggggggbbggggggggggcccggggge ccccg gggggggggggebfggggggggggcccggggge cccc gggggggggggfbggggggggggecccgggggecccc gggggggggggbbggggggggggecccgggecccc gggggggggggbbggggggggggacccgggccc ggggggggggdbdggggggggggacccggecae ggggggggggbbgggggggggggccccggacge ggggggggggbbgggggggggggccccggccge ggggggggggbfgggggggggggccccggccge gggggggggdbegggggggggggccccgecage gggggggggbbggggggggggggccccgacege gggcaggggbbggggggggggggcaccgccgge gggcceggebfgggggggggggecaccgccgge ggggccegfbggggggggggggaceacgcagge ggggeccebbggggggggggggacgacacegge gggggeccbbggggggggggggccgacccggge ggggggeccdggggggggggggccgacccggge gggggggfccggggggggggggccgacccggge gggggggbcccgggggggggggccgaccaggge gggggggbfcccggggggggggccgaccgggge ggggggdbdgcccgggggggggcagaccgggge ggggggdbeggccagggggggecagaccgggge ggggggfbggggccaggggggacegecagggge ggggggbbgggggccegggggacgggcegggge ggggggbbggggggcceggggccggggggggge ggggggbbggggggeccegggccggggggggge ggggggbbgggggggeccgggccggggggggge ggggggbbggggggggeccggccggggggggge ggggggbfgggggggggaccgccggggggggge gggggebdggggggggggacccaggggggggge gggggdbdgggggggggggcccaggggggggge gggggfbgggggggggggggcceggggggggge eeeeefbeeeeeeeeeeeeeeaeeeeeeeeeee bb bb bb bb bf bd bd db db fb bb bb bb bb bf bd gbg db fb fb bb bb bb bb bf gg ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#4c6f95ff b,#ca2515ff c,#09396eff d,#e79e97ff e,#91a6beff f,#d86255ff g,#dad5daff ``` ```image gddfbbbbbbbbb gddffbbbbbbbbbbbbbbb gddffbbbbbbbbbbbbbbbbbbffd ggdffbbbbbbbbbbbbbbbbbbbfddg fbbbbbbbbbbbbbbbbbffddg dbbbbbbbbbbbbffdgg fbbbbbffddg bbbfg gbbbd dbbbg fbbb bbbf dbbbd ee dbbb ecce fbbf acca gbbbd ccca dbbbg ccca fbbb gccca bbbf gcccc gbbbd ecccc dbbbg ecccc fbbb acccc bbbf acccc dbbbd acccc fbbb ccccc bbbf ccccc gbbbd gccccc dbbbg gccccc fbbb ecccccg bbbf ecccccg gbbbd ecccccg dbbbg acccccg fbbb acccccg bbbf ccccccg dbbbd ccccccg fbbb ccccccg bbbf gcccccce gec gbbbd gcccccce gaccc dbbbg ecccccce gccccc fbbb ecccccce accccc bbbf acccccce cccce gbbbd acccccce gccce dbbbg accaccce ecccg fbbf cccaccce accc gbbbd ccceccce ccca dbbbg gccceccce gccce fbbb gcccgccce ecccg bbbf ecccgccce accc gbbbd eccc ccca acca dbbbg accc ccca ccca fbbb accc ccca gccce bbbf acca ccca ecccg ae dbbbd ccca acca accc acce fbbb ccce acca ccca ecccce bbbf gccce acca gccce eccccg gbbbd gccce acca ecccg accccg dbbbg ecccg acca accc accccg fbbb ecccg acca ccca accccg bbbf eccc accagccce accca gbbbd accc acccecccg gccccadbbbg acca accceccc gcccccbbb ccca acccacca gcccccbf ccca acccccca gcccccd ccce ecccccce ecccce gccce eccccccg bcccce gcccg ecccccc gbcccccg ecccg eccccca dbbcccccg eccc eccccce fbbbaccccg accc ecccccg bbbf accccg acca eccccc gbbbd accca acca ecccca gbbbg gcccca ccca ecccce dbbbg gcccca ccce eccccg dbbb gcccca gccce ecccc fbbb gcccce gcccg gccca fbbb ecccce ecccg gccca fbbf ecccce eccc gccce bbbf eccccg accc ccc bbbd accccg accc eg bbbd accccg acca gbbbd accccg ccca dbbbg accca ccce dbbbg gcccca gccce dbbb gcccca gccce fbbb gcccca ecccg fbbf gcccce ecccg fbbf ecccce eccc bbbf ecccce accc bbbd eccccgacca gbbbd accccccca gbbbd acccccca dbbbg accccce dbbbg acccce dbbb gccccg fbbb gccc fbbf g ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Time for a closer look at another area. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#4d6f95ff b,#c92615ff c,#0a396dff d,#e9a7a1ff e,#96a9bfff f,#d8685dff g,#e1dce0ff ``` ```image gddffbbbfdg ge gddffbbbbbbbbbbbbbfdd gaccg gddffbbbbbbbbbbbbbbbbbbbbbbbbffdg gacccce gddffbbbbbbbbbbbbbbbbbbffffbbbbbbbbbbbbbfdeacccccca ggdffbbbbbbbbbbbbbbbbbbbffddg gdfbbbbbbbbbbcccccccae gddffbbbbbbbbbbbbbbbbbbbfddg gdffbbbccccccccbbfd bbbbbbbbbbbbbbbbbbffddg eacccccccbbbbbf bbbbbbbbbbbbffdg eaccccccafbbbbbbd bbbbbffddg ecccccccag gdffbg fdgg ecccccccag ecccccccag geccccccceg geccccccceg gaccccccce gaccccccce gaccccccce gaccccccae gaccccccae eaccccccae eaccccccag ecccccccag ecccccccag ecccccccag gecccccccag geccccccceg gaccccccce gaccccccce gaccccccce gaccccccce gaccccccae eaccccccae ccccccag ccccag ccag ag ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#496d94ff b,#c92616ff c,#09396eff d,#eaa9a3ff e,#8ba1baff f,#da6b5fff g,#dbd5daff ``` ```image dfbbd g gdfbbbbbbbbbbbbfg gcce gfbbbbbbbbbbfd gfbbbbbccca dfbbbbbbbbbfdg eccccbbf gdbbbbbbbbbbfd eccca dfg dfbbbbbbbbbfdg eccca gdfbbbbbbbbbfd eccce dfbbbbbbbbbbfg accce gdfbbbbbbbbbfd accce dbbbbbbfd acccg bbg ccccg bb ccccg bf gcccc fb ce gcccc bb ca gccca bb gca gccca gbd ecc eccca fb ecc eccca bb acc eccce bf ccc accce dbg ccc accce bb ccc acccg bb ccc acccg bf ccc ccccg fb ccc ccccg bb gccc gcccc bb eccc ccc dbd accc gce bb cccc ac bb cccc cc bf cccc cc dbg cccc ce bb cacc ecg ce bb ceac cc ccg gbf gceac cc ccg fb ecgac ca cc bb ac acecg gccbb cc acac gccd cc eccc bcc cc eccc bccc cc ecce bfacc ca ecc dbd cca ca ecc db cca gce gcc fb cce ecg gca bb ccg ec c bb ccg ac bb cc cc bb gcc cc bb gcc cc bf ecc cc gbd accca dbg acce fb ccg fb g bb bb bb bb bf bf gbd dbg fb fb bb bb bb bb bf bd gbd dbg fb bb bb bb bb bb bf gg ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#a18e06ff b,#4a7fc7ff c,#a5c68cff d,#eff5edff e,#ada945ff f,#b1d7b1ff g,#7ca8c2ff ``` ```image d ca cae aae aa aaaa aa faaaac aad aacfaa eae eaa aad daa aad caa aa aae aa aa faa eae aac aac aa caa eaa aac aa aad daa aa aae aad aad faa caa eae aac aad daa eaa eae aa aad aa aad aae aac eac faa daa faa aaf aaf aa eaa caa aa daad aad dcaacccccccccccccccccccccccccccccccccccccccccccccaaacccd eaa dfeaefffffffffffffffffffffffffffffffffffffffffffcaaffffd aa dfcaafffffffffffffffffffffffffffffffffffffffffffaacffffd aae dffaaffffffffffffffffffffffffffffffffffffffffffeaafffffd daa dffaaffffffffffffffffffffffffffffffffffffffffffaaffffffd aaf dffaaeffffffffffffffffffffffffffffffffffffffffaaeffffffd faa dffcaafffffffffffffffffffffffffffffffffffffffcaafffffffd aad dfffaafffffffffffffffffffffffffffffffffffffffaacfffffffd eaa dfffaaffffffffffffffffffffffffffffffffffffffeaaffffffffd aa dfffaacfffffffffffffffffffffffffffffffffffffaafffffffffd aae dfffeaefffffffffffffffffffffffffffffffbgfffaaefffffffffd daa dfffcaaffffffffffffffffffffffffffffffbbbbbcaaffffffffffd aaf dffffaafffffffffffffffffffffffffffffbbbbbbaabbgffffffffd faa dffffaacfffffffffffffffffffffffffffbbbfffeaabbbbbbfffffd f dffffeaeffffffffffffffffffffffffffbbbffffaaffgbbbbbbbgfd dffffcaafffffffffffffffffffffffffgbbffffaaeffffffgbbbbbbgd dfffffaaffffffffffffffffffffffffgbbffffcaaffffffffffgbbbbbbbg dfffffaafffffffffffffffffffffffgbbgffffaacfffffffffffffdgbbbbbbbd dfffffaacffffffffffffffffffffffbbgffffeaaffffffffffffffd dgbbbbbbgd dfffffeaafffffffffffffffffffffbbgfffffaafffffffffffffffd gbbbbbbbf dffffffaaffffffffffffffffffffbbbfffffaaefffffffffffffffd dgbbbbbbgd dffffffaafffffffffffffffffffbbbfffffeaaffffffffffffffffd fbbbbbbbf dffffffaacfffffffffffffffffbbbffffffaacffffffffffffffffd dgbbbb dffffffeaeffffffffffffffffbbbffffffaaafffffffffffffffffd fd dffffffcaafffffffffffffffbbbfffffffaaffffffffffffffffffd dfffffffaaffffffffffffffbbbfffffffaaeffffffffffffffffffd dfffffffaafffffffffffffgbbfffffffeaafffffffffffffffffffd dfffffffaacfffffffffffgbbgfffffffaacfffffffffffffffffffd dfffffffeaaffffffffffgbbgfffffffaaaffffffffffffffffffffd dffffffffaaffffffffffbbgffffffffaafffffffffffffffffffffd dffffffffaafffffffffbbbffffffffaaefffffffffffffffffffffd dffffffffaacfffffffbbbffffffffeaaffffffffffffffffffffffd dffffffffeaeffffffbbbfffffffffaacffffffffffffffffffffffd dffffffffcaafffffbbbfffffffffaaafffffffffffffffffffffffd dfffffffffaaffffbbbfffffffffcaaffffffffffffffffffffffffd dfffffffffaafffbbbffffffffffaaeffffffffffffffffffffffffd dfffffffffaaefgbbffffffffffeaafffffffffffffffffffffffffd dfffffffffeaagbbfffffffffffaacfffffffffffffffffffffffffd dffffffffffaabbgffffffffffaaaffffffffffffffffffffffffffd dffffffffffaabgffffffffffcaafffffffffffffffffffffffffffd dffffffffffaagfffffffffffaaefffffffffffffffffffffffffffd dfffffffffbeaeffffffffffeaaffffffffffffffffffffffffffffd dffffffffbbbaaffffffffffaacffffffffffffffffffffffffffffd dfffffffbbbfaafffffffffaaafffffffffffffffffffffffffffffd dffffffbbbffaaffffffffcaaffffffffffffffffffffffffffffffd dfffffbbbfffaaefffffffaaeffffffffffffffffffffffffffffffd dffffgbbffffcaaffffffeaafffffffffffffffffffffffffffffffd dfffgbbffffffaaffffffaacfffffffffffffffffffffffffffffffd dffgbbgffffffaafffffaaaffffffffffffffffffffffffffffffffd dffbbgfffffffaacfffcaafffffffffffffffffffffffffffffffffd dfbbgffffffffeaefffaaefffffffffffffffffffffffffffffffffd dbbbfffffffffcaaffeaaffffffffffffffffffffffffffffffffffd bbbfffffffffffaaffaacfffffffffffffffffffffffffffffffffcd bbbddddddddddddaadaaaddddddddddddddddddddddddddddddddddd bbb eaeaa bbb faaae bd aaa aad df ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#a18e06ff b,#4a7fc7ff c,#d0c784ff d,#c0d2ebff e,#b5a843ff f,#e9e5c6ff g,#80a5d8ff ``` ```image aaaaf faaaae eaaac eaaaaf caaae faaaac caaaa aaaaa faaaaf caaaac aaaac faaaae eaaae eaaaaf caaae caaaac faaaa aaaaa aaaaf caaaac eaaac faaaae caaae eaaaaf caaaa caaaac faaaaf aaaaa aaaac caaaac eaaae faaaae caaaa eaaaaf faaaa caaaac aaaaf aaaaa eaaac caaaac caaae dggd faaaae faaaa gbbbbbbgd eaaaaf faaaaf gbbbbbbbbbbeaaaac aaaac dbbbbbbbbbbbaaaaad eaaae dbbbbbgbbbbbeaaaabbbgdd caaaa dbbbbbd dggbaaaaabbbbbbbgd faaaaf dbbbbbg eaaaabbbbbbbbbbbgdd aaaaf bbbbbg caaaacggbbbbbbbbbbbbbgd eaaac bbbbbg aaaaa dgbbbbbbbbbbbbbggd caaae gbbbbg caaaaf ddgbbbbbbbbbbbb faaaa gbbbbb faaaae dgbbbbbbbbb aaaaf gbbbbb eaaaaf ddgbbbbb eaaac gbbbbbd caaaac dgbb eaaae dbbbbbd aaaaa caaaa dbbbbbd caaaaf faaaaf dbbbbbd faaaae aaaac dbbbbbg eaaaaf eaaac bbbbbg caaaac caaae bbbbbg aaaaa faaaa gbbbbg caaaaf aaaaf gbbbbb faaaae eaaac gbbbbb eaaaaf eaaae gbbbbbd caaaac caaaa dbbbbbd aaaaa faaaaf dbbbbbd eaaaaf aaaac dbbbbbd faaaae eaaac dbbbbbd eaaaaf caaae dbbbbbg caaaac faaaa bbbbbg aaaaa aaaaf bbbbbg eaaaaf eaaac gbbbbg faaaae caaae gbbbbb eaaaaf caaaa gbbbbb caaaac faaaaf gbbbbbd aaaae aaaac dbbbbbd eaaaaf eaaae dbbbbbd faaaae caaae dbbbbbd eaaaaf faaaa dbbbbbg caaaac aaaaf bbbbbg aaaae eaaac bbbbbg eaaaaf caaae gbbbbg faaaae caaaa gbbbbb eaaaaf faaaaf gbbbbb caaaac aaaac gbbbbbd faaaae eaaae dbbbbbd eaaaaf caaaa dbbbbbd faaaae faaaa dbbbbbd eaaaaf aaaaf dbbbbbg caaaac eaaac bbbbbg faaaae caaae bbbbbg eaaaaf faaaa gbbbbg faaaae faaaaf gbbbbb eaaaaf aaaac gbbbbb caaaac eaaae gbbbbbd faaaae caaaa dbbbbbd eaaaaf faaaadbbbbbd faaaae aaaabbbbbd eaaaa eaaaebbbd caaaac caaaabbg faaaae caaaabg eaaaaf baaaag faaaae gbaaaac eaaaa gbbeaaae caaaac gbbbbaaaa faaaae gbbbbbaaaaf eaaaaf dbbbbbdaaaac faaaae dbbbbbd eaaac aaaaa dbbbbbd caaae caaaac dbbbbbg faaaa faaaae bbbbbg aaaaf eaaaaf bbbbbg eaaac faaaae gbbbbg eaaae aaaaa gbbbbb caaaa caaaac gbbbbb faaaaf faaaae gbbbbbd aaaac eaaaaf dbbbbbd eaaac faaaae dbbbbbd caaae aaaaa dbbbbbd faaaa caaaac dbbbbbg aaaaf faaaae bbbbbg eaaac eaaaaf bbbbbg caaae faaaac gbbbbg caaaa aaaaa gbbbbb faaaaf caaaac gbbbbb aaaac faaaae ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a18e06ff b,#4a7fc8ff c,#d2ca8aff d,#c2d4ecff e,#b6a945ff f,#e8e3c3ff g,#83a7d7ff ``` ```image ca cae aae aa aaaa aa faaaac aaf aacfaa eae eaa aaf faa aa caa aa aae aa aa faa eae aac aac aa caa eaa aac aa aa faa aa aae aaf aaf faa caa eae aac aa faa eaa eae aa aa aa aa aae aac eac faa faa caa aac aaf aa eaa caa aa aa aa aaf aae eaa cae faa aa faa aac aae aa eaa faa aa aa aac eac aae caa caa caa aa aa aac eaa aa eaa aa aaf aa aae cae gd aae aa faa bbbbbeaa aac aa bbbbbbaabbd faa aaf bbb eaabbbbbgd f eac bbb aa dbbbbbbbg faa gbb aae gbbbbbbgd aa gbbd caa dbbbbbbbg aa dbbd aaf gbbbbbbbd aac dbbg eaa dbbbbbbbg cae bbg aa gbbbbbbbd aa bbb aae dgbbbbbbg aa bbb caa dbbbbbbbd aaf bbb aaf dgbbbb eae bbb eaa dd faa bbb aa aa gbb aae aa gbb caa aac dbbd aaf cae dbbd eaa aa bbg aa aa bbg aae aaf bbb caa eae bbb aaf faa bbb eaa aa bbb faa aa gbb aae aac gbb caa caadbbd aaf aabbd eaa aabg faa aag aae beae caa bbbaa aaf bbb aa aaa bbb aa faa bbb eac aae gbb caa caa gbbd aa aaf dbbd aa aaa dbbg aaf faa bbg eae aae bbb faa caa bbb aa aaf bbb aa aaa bbb eaeaa bbb caaac b aaa aaf fc ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#4dc8c7ff b,#a896f5ff c,#bce2ebff d,#a2d0a4ff e,#eef6f1ff f,#77cfc9ff g,#b1d7b2ff ``` ```image caa faa faf faf aaf aac aac aac aac aae aae aa aa aa aa aa eaa eaa caa caa caa faa faa faf aaf aaf aac aac aac eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee aae cddddddddddddddddddddddddddddddddddddddddddd aae eaadggggggggggggggggggggggggggggggggggggggggd aa faaaafggggggggggggggggggggggggggggggggggggggd aa eaaaaafggggggggggggggggggggggggggggggggggggd aa edgfaaaafggggggggggggggggggggggggggggggggggd aa edgggfaaaafggggggggggggggggggggggggggggggggd aa edgggggfaaaafggggggggggggggggggggggggggggggd eaa edgggggggfaaaafggggggggggggggggggggggggggggd eaa ecggggggggggfaaaafggggggggggggggggggggggggggd caa ebbbbbbbbbbgggfaaaafggggggggggggggggggggggggd caa cbbbbbbbbbbbbbbbfaaaafggggggggggggggggggggggd caa edgggggbbbbbbbbbbfaaaaabbbbbbbgggggggggggggd eeeeeeeeeeeeefaaeeeee edgggggggggggggggbbfaaaaabbbbbbbbbbbbbbbgggd edddddddddddddfaaddddd edgggggggggggggggggggfaaaaabbbbbbbbbbbbbbbbbbbbbbcee edggggggggggggaaaggggg edgggggggggggggggggggggfaaaaaggggggggbbbbbbbbbbbbbbbbbbbbbbce edggggggggggggaafggggg edgggggggggggggggggggggggdaaaaaggggggggggggd ecbbbbbbbbbbbbbbbbdggggggggggggaafggggg edgggggggggggggggggggggggggdaaaaaggggggggggd ecbbbbbbbbgggggggggggaafggggg edgggggggggggggggggggggggggggdaaaaaggggggggd ebbbbbgggggggggaafggggg edgggggggggggggggggggggggggggggdaaaaaggggggd edbbbbbgggggggaadggggg edggggggggggggggggggggggggggggggggaaaaaggggd edggbbbbbgggggaadggggg edggggggggggggggggggggggggggggggggggaaaaaggd edggggbbbbbgggaagggggg edggggggggggggggggggggggggggggggggggggaaaaad edggggggbbbbbgaagggggg edggggggggggggggggggggggggggggggggggggggaaaaae edggggggggbbbbaagggggg edddddddddddddddddddddddddddddddddddddddddaaaaac edggggggggggbbaabggggg eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaac edggggggggggggaabbbggg faaaac edggggggggggggaabbbggg faaaa edggggggggggggaagggggg faaae edggggggggggggaagggggg aaae edgggggggggggdaagggggg aaae edgggggggggggfaagggggg aaae edgggggggggggfaagggggg aaac edgggggggggggfaagggggg aaac edgggggggggggfaagggggg aaac edgggggggggggfaagggggg aaafedgggggggggggaafgggggg faafdgggggggggggaafgggggg faaadddddddddddaafdddddd faaf aac faaa aac caaa aac caaa aae caaa aae eaaa aa eaaa aa eaaa aa eaaae aa aaaeaa aaaaa aaaa aaa fe ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4cc8c8ff b,#a795f7ff c,#b9e8e9ff d,#c8bcfaff e,#e4eaf9ff f,#91dcddff g,#6cc8d3ff ``` ```image c agc aaagc aaaaagc aaaaaaagc gaaaaaaaagc cgaaaaaaaagc cgaaaaaaaagc cgaaaaaaaaac egaaaaaaaaac egaaaaaaaaac efaaaaaaaaaf efaaaaaaaaaf efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaafe deee efaaaaaaaaafe bbbbbbbddddeee efaaaaaaaaafe bbbbbbbbbbbbbbbbbddddeee efaaaaaaaaafe bbbbbbbbbbbbbbbbbbbbbbbbbbbdgaaaaaaaaafe bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgaaaaaaaaagce eeeddddbbbbbbbbbbbbbbbbbbbbbbbbbgaaaaaaaaagbbbbdddeee eeeddddbbbbbbbbbbbbbbbbbgaaaaaaaaagbbbbbbbbbbbddddeee eeeddddbbbbbbbbbgaaaaaaaaagbbbbbbbbbbbbbbbbbbbddddeee eeedddbbgaaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbbbbddddeee ecgaaaaaaaagbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb cgaaaaaaaagfddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb cgaaaaaaaagc eeeddddbbbbbbbbbbbbbbbbbbbb cgaaaaaaaagc eeeddddbbbbbbbbbb cgaaaaaaaagc eeedddd cgaaaaaaaagc cgaaaaaaaagc cgaaaaaaaaac egaaaaaaaaac efaaaaaaaaaf efaaaaaaaaaf efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaafe efaaaaaaaaaf faaaaaaaa faaaaaa caaaa caa ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. I'm ready to analyze the next area. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#4cc8c8ff b,#a795f8ff c,#bdeaeaff d,#cdc2faff e,#e8eff9ff f,#90dbdcff g,#66c8d1ff ``` ```image faaaa faaaa faaaa faaag gaaag gaaag gaaaf aaaaf d aaaaf bbd aaaaf bbbbd eaaaaf bbbbbbd eaaaac bbbbbbbbd eaaaac dbbbbbbbbbd eaaaac edbbbbbbbbbd caaaac edbbbbbbbbbd caaaac edbbbbbbbbbd caaaae edbbbbbbbbbd caaaae edbbbbbbbbbd caaaae edbbbbbbbbbd faaaae edbbbbbbbbbd faaaa edbbbbbbbbbfaaaa edbbbbbbbgaaaa edbbbbbgaaag edbbbgaaagbd edbgaaagbbbd egaaagbbbbbe gaaagbbbbbd aaaagbbbbb aaaafedbbd aaaaf ed eaaaaf eaaaac eaaaac caaaac caaaac caaaac caaaae caaaae faaaae faaaa faaaa faaaa faaag gaaag gaaag gaaag gaaaf aaaaf ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4cc8c8ff b,#a895f8ff c,#beeaeaff d,#cfc5faff e,#e6eff8ff f,#92ddddff g,#6bccd2ff ``` ```image faa faa gag gag aaf aaf aac aac aac aae aae aa aa aa aa aa eaa eaa caa caa faa faa fag gag gaf aaf aaf aac aac aae c aae eaac aa gaaaac aa gaaaac aa gaaaac aa gaaaaf aa faaaaf eaa faaaaf eaa ede faaaaf caa dbbbbbbbbbdde faaaaf caa dbbbbbbbbbbbbbbbgaaaage faa eddbbbbbbbbbgaaaagbbbbbbdde faa eddbgaaaagbbbbbbbbbbbbbbdde faa caaaagdbbbbbbbbbbbbbbbbbbbbbdee gag caaaag eddbbbbbbbbbbbbbbbbbbbbdde gag caaaag eddbbbbbbbbbbbbbbb aaf caaaaa eddbbbbbbb aaf eaaaaa ebbbbb aac eaaaaae ebbbbb aac eaaaaae ebbbbb aae eaaaaae ebbbbb aae eaaaaae ebbbbb aa eaaaaae ebbbbaa aaaaac ebbaab gaaaac eaabbb gaaaac aabbb gaaaa aa e gaaa eaa aaae caa aaae caa aaae caa aaac faa aaac faa aaaf gag gaaf gag gaaf aaf gaag aaf faag aac faag aac faaa aac caaa aae caaa aa eaaa aa eaaa aa eaaa aa aaa aa aaaeaa aaaaa aaaa aaa fe ``` <!-- 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,#208ff8ff b,#f07bdaff c,#6eb6dcff d,#f2bef1ff e,#b1d7b2ff f,#f84fd6ff g,#96c996ff ``` ```image b dfff bffb dfffd bffb ac dfffd aa bffb aa dfff aa dfffd daa dfffffb caa dbfffffbd aaa dbfffffbd aca dfffffbd a a dfbd a a fd gggggcagagggggggggggge ff eeeeecaeaeeeeeeeeeeeeg f eeeeeaceaeeeeeeeeeeeeg fb eeeeeaceaeeeeeeeeeeeeg df eeeeeaeeaeeeeeeeeeeeeg fd eeeeeaeeaceeeeeeeeeeeg bf eeeeeaeeaceeeeeeeeeeeg f eeeecaeeaceeeeeeeeeeeg fb eeeecaeeaceeeeeeeeeeeg df eeeeaaeeaceeeeeeeeeeeg fd eeeeaceeaaeeeeeeeeeeeg bf eeeeaceecaeeeeeeeeeeeg f eeebaeeecaeeeeeeeeeeeg fb eeefaeeecaeeeeeeeeeeeg df eeeeaeeecaeeeeeeeeeeeg fd eeecafeecaeeeeeeeeeeeg bf eeecafbeeaeeeeeeeeeeeg f eeeaaefeeaeeeeeeeeeeeg fb eeeacebfeaeeeeeeeeeeeg df eeeaceefbaeeeeeeeeeeeg fd eeeceeeefaeeeeeeeeeeeg bf eeeeeeeefaeeeeeeeeeeeg f eeeeeeeeeaeeeeeeeeeeeg fb eeeeeeeeeafeeeeeeeeeeg df eeeeeeeeeabfeeeeeeeeeg fd eeeeeeeeeacfeeeeeeeeeg bf eeeeeeeeeacbfeeeeeeeeg f eeeeeeeeeacefbeeeeeeegfb eeeeeeeeeaceefeeeeeeegf eeeeeeeeeaaeeffeeeeeefd eeeeeeeeecaeeefbeeeebf eeeeeeeeecaeeeefeeeefg eeeeeeeeecaeeeeffeeffg eeeeeeeeecaeeeeefeefeg eeeeeeeeecaeeeeebffbeg eeeeeeeeeeaeeeeeeffeeg ggggggggggagggggggggge a a a a a a ad ad ac ac ac ac ca ca ca ca da a a a a a a a a a ad aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#208ef8ff b,#fa8ee5ff c,#96c8fbff d,#fcccf3ff e,#c9e4fdff f,#f652d8ff g,#5ba4f8ff ``` ```image eaac aag eaae gag caae gag gaa gag gag gaa aag gaa eaac caa eaae caa caae caa gaa caae gag caae gag eaae aag eaae aac eaac eaac eaac eaae aac caae aac caa aac gaa aag gag aag aag gag aac gag eaac gag eaae gaa caae gaa dbgaa caa bfgaa caa faag caa daag caae aagd caae eaaff eaae eaaffb eaae caafffd eaac caadffb eaac gaa bffd aac gag fff aac aag dffb aac aac bffd aag eaac fff aag eaae bffbgag caae fffgag egg dffgag bfgaa fgaa dgaa gaad caaf caafb caaffd eaafff eaacffb eaacfffd eaacdffb aac bffd aac fff aac dffb aag bffd aag dfff gag bffb gag fffd gag dffb d gaa bffd b gaa fff df caa dffb ff caa bffd bff caa fff fff caae bffb bffd caae fffd dffb eaae dfff fff eaae bfffffb eaae fffff eaac dfffd eaac bfb ``` <!-- end of image --> Bingo! This close-up reveals 2 intersections in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1f8ef9ff b,#fa7ce1ff c,#86c2fbff d,#fcbcefff e,#bdddfcff f,#f84fd7ff g,#57aafaff ``` ```image b dfff bffb dfffd bffb ag dfffd ag bffb aa dfff aa dfffd eaa dfffffb gaa dbfffffbd aaa dbfffffbd aca dfffffbd a a dfbd a a fd ea a ff ga a f ac a fb ae a df a ae fd a ae bf a ae f ea ac fb ca ac df gg ag fd ac gg bf ae ga f ba ca fb fa ca df ad ea fd eaf ea bf cafb ea f gg f a fb ac bf a df ae fba fd g dfa bf fa f ad fb af df afb fd aef bf acbf f ac fb fb ag f df gg bf fd ga fd bf ca df f ca ff ff ea fddf ea bffd ea ff a a a a a a a ae ae ac ac ag gg gg ca ca ea ea ea a a a a a a a ae ae aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ``` <!-- 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,#952908ff b,#bbb17aff c,#bb9b36ff d,#b1d7b1ff e,#a67856ff f,#f0f4ecff g,#9c4926ff ``` ```image f gaa aaad aaag daaaa eaaaaf ffffffffffffffffffaaaaaefffffffffffffff ddddddddddddddddddaaaaaadddddddddddddddf ddddddddddddddddddaaaaaaddddccbddddddddf dddddddddddddddddeaagaaabddccccccbdddddf dddddddddddddddddgaaeeaagddcccccccccdddf dddddddddddddddddaaaddaaaddccccccccccccf dddddddddddddddddaaaddaaaddcccddbcccccccccf ddddddddddddddddbaaaddgaaedcccdddddbcccccccccf ddddddddddddddddeaagddbaaadcccddddddddbccccccccbf ddddddddddddddddaaabdddaaabccbdddddddddf bccccccccbf ddddddddddddddddaaaddddaaaeccbdddddddddf bccccccccbf ddddddddddddddddaaaddddeaaaccddddddddddf bccccccccbf dddddddddddddddbaaadddddaaaccddddddddddf bccccccccb dddddddddddddddgaaedddddaaaccddddddddddf fbccccccc dddddddddddddddaaaddddddgaagcddddddddddf fbccccc dddddddddddddddaaaddddddbaaacddddddddddf fccc dddddddddddddddaaadddddddaaacddddddddddf cccb ddddddddddddddeaagdddddddaaaeddddddddddf fccc ddddddddddddddaaabdddddddgaagddddddddddf cccb ddddddddddddddaaaddddddddcaaaddddddddddf fccc ddddddddddddddaaaddddddddcaaaddddddddddf cccb dddddddddddddbaaaddddddddcaaaedddddddddf fccc dddddddddddddeaaeddddddddccaaadddddddddf cccb dddddddddddddaaabddddddddccaaadddddddddf fccc dddddddddddddaaaddddddddbccaaabddddddddf cccb dddddddddddddaaaddddddddccceaagddddddddf fccc ddddddddddddeaagddddddddcccdaaaddddddddf cccb ddddddddddddgaaeddddddddcccdaaaddddddddf fccc ddddddddddddaaadddddddddcccdgaaedddddddf cccb ddddddddddddaaadddddddddcccdbaaadddddddf fccc ddddddddddddaaadddddddddcccddaaadddddddf cccb dddddddddddeaagddddddddbcccddaaabddddddf dcccb dddddddddddaaabddddddddbccbddeaagddddddf ccccc dddddddddddaaadddddddddcccbdddaaaddddddf ccccc dddddddddddaaadddddddddcccddddaaaddddddf bccccf ddddddddddbaaadddddddddcccddddgaaedddddf dccccf ddddddddddgaaedddddddddcccddddbaaadddddf fccccd ddddddddddaaaddddddddddcccdddddaaadddddf ccccb ddddddddddaaaddddddddddcccdddddaaabddddf ccccc ddddddddddaaadddddddddbccbdddddeaagddddf ccccc dddddddddeaagdddddddddcccbddddddaaaddddf bccccf dddddddddaaabdddddddddcccdddddddaaaddddf fccccf dddddddddaaaddddddddddcccdddddddgaaedddf fccccb dddddddddaaaddddddddddcccdddddddbaaadddf ccccb ddddddddbaaaddddddddddcccddddddddaaadddf ccc ddddddddeaaeddddddddddcccddddddddaaabddf b ddddddddaaabdddddddddbcccddddddddeaagddf ddddddddaaaddddddddddbccbdddddddddaaaddf ddddddddaaaddddddddddcccbdddddddddaaaddf dddddddeaagddddddddddcccddddddddddgaaedf dddddddgaaeddddddddddcccddddddddddbaaadf dddddddaaadddddddddddcccdddddddddddaaadf dddddddaaadddddddddddcccdddddddddddaaabf dddddddaaadddddddddddcccdddddddddddeaagf ddddddeaagddddddddddbccbddddddddddddaaaf ddddddaaabddddddbccccccbddddddddddddaaaf ddddddaaadddbccccccccccdddddddddddddgaab ddddddaaaccccccccccccbddddddddddddddbaaa dddbccaaaccccccccbdddddddddddddddddddaaabbbbbbbbddddffffffff ddcccgaagcccbddddddddddddddddddddddddaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddcccaaabddddddddddddddddddddddddddddeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa ddbbbaaaddddddddddddddddddddddddddddddeeeeeeeeeggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa dddddaaadddddddddddddddddddddddddddddddf ddddeaagdddddddddddddddddddddddddddddddf ddddaaabdddddddddddddddddddddddddddddddf ddddaaaddddddddddddddddddddddddddddddddf ddddaaaddddddddddddddddddddddddddddddddf dddbaaaddddddddddddddddddddddddddddddddf dddeaaeddddddddddddddddddddddddddddddddf dddaaabddddddddddddddddddddddddddddddddf dddaaadddddddddddddddddddddddddddddddddf dddaaadddddddddddddddddddddddddddddddddf ddbaagdddddddddddddddddddddddddddddddddf ddgaaedddddddddddddddddddddddddddddddddf ddaaaddddddddddddddddddddddddddddddddddf ddaaaddddddddddddddddddddddddddddddddddf dddddddddddddddddddddddddddddddddddddddf fffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#952908ff b,#cfad7fff c,#bb9b35ff d,#ddc3a9ff e,#bc7a65ff f,#efe4d6ff g,#a85334ff ``` ```image faaaaaaae eaaaaaaaa gaaaaaaaa ff aaaaaaaaa cccf baaaa aaaad ccccccccb eaaaa gaaae ccccccccccbf gaaaa baaag fccccccccccccbf daaaaa aaaab dcccccccccccccccc baaaag eaaag dccccfdcccccccccc gaaaae daaaa bcccc fdcccccccc aaaaaf aaaae ccccc fcccc aaaaa aaaag ccccc fbc aaaae aaaaafccccc f aaaad eaaaadccccb daaaa daaaabccccb eaaae gaaagccccf gaaad baaaaccccf faaaaf faaaacccc eaaaa aaaaaccb gaaaa aaaaaccb aaaaa aaaaagcd aaaag baaaaacf aaaae faaaaacf aaaab aaaaac daaaa daaaab baaag faaaae gaaae gaaae faaaaf caaaaf daaaa fcaaaab gaaab dcaaaaa aaaad dcaaaaad daaaa bcaaaaae eaaaa cccaaaaa gaaaa cccaaaaa aaaaa fcccgaaaa aaaag dccccaaaad aaaae bccccgaaae aaaad bcccceaaag baaag cccccfaaaab eaaae ccccc aaaae gaaab ccccc aaaaa daaaa ccccb gaaaa baaaa ccccd eaaaa aaaaa ccccf aaaab faaaaa ccccf eaaae daaaaa fcccc baaaa gaaaab dcccb gaaae aaaaad bcccb eaaag aaaaa bcccd daaaaf aaaae ccccf aaaae aaaab fcccc aaaaa faaaaf fcccc aaaaa eaaag dcccc eaaaa gaaae bcccc daaaaf aaaad bcccc aaaad baaaa ccccc baaaa eaaaa ccccc faaaad aaaaa ccccb aaaag aaaaa ccccb aaaaaf aaaag ccccd aaaaad aaaad ccccf baaaaa faaaaf fcccc faaaaa daaaa fcccc gaaaa gaaab dcccb daaaaf aaaad bcccd aaaad faaaa bcccd gaaae eaaae ccccf faaaad gaaab fcccc aaaab faaaaf fcccc aaaag eaaaa bcccb aaaaad gaaaa bcccd gaaaae aaaaa ccccf faaaaa aaaag fcccc gaaaa aaaae fcccc eaaaa aaaad dcccc aaaad daaaa bcccc gaaae baaag bcccc baaaa aaaad ccccc aaaa faaaaf ccccc aaaa daaaa ccccc aaaa gaaaa dbcccccb gaaa aaaaa fbcccccccccd baaa faaaaa fdccccccccccccf faaa eaaaaedbcccccccccccccccccd eaa gaaaagcccccccccccccccccbd daa fdbccaaaaacccccccccccbdf ga cccccaaaaaccccccccbdf ba cccccaaaagcccccbf fa cccccaaaabf a bcccgaaag g bcdfeaaae aaaad daaaa baaaa aaaaa faaaaa daaaaa gaaaab aaaaad aaaag aaaae aaaab daaaa baaag gaaae faaaaf daaaa eaaaa aaaaa aaaaa aaaag fdgad ``` <!-- end of image --> Area A contains 2 intersections. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#952908ff b,#cab163ff c,#bb9a35ff d,#d7ba97ff e,#c0816dff f,#eadbcaff g,#a64d2fff ``` ```image f gaa aaad aaag faaaa eaaaa aaaaae aaaaaa aaaaaa ccf daagaaad bcccccf gaadeaag cccccccccf aaa aaa ccccccccccccf aaa aaa ccc dccccccccbf faaa gaae ccc dccccccccbf eaae faaafccc dccccccccbf aaaf aaadccb dccccccccb aaa aaacccd dccccccccb aaa eaaaccf bccccccccb daaa aaacc bccccccccb gaae aaacc bccccccc aaa gaagc bccccb aaa faaac ccc aaa aaab cccb eaag aaae ccc aaad gaag cccb aaa caaa ccc aaa caaa cccb faaa caaae fccc eaae ccaaa cccb aaaf fccaaa fccc aaa dccaaaf cccd aaa bcceaag fccc daag cccfaaa cccd gaad ccc aaa fccc aaa ccc gaae cccd aaa ccc faaa fccc faaa ccc aaa cccd eaae fccb aaaf fcccb aaaf dccd eaag ccccc aaa bccf aaa bcccc aaa ccc aaa bcccc daaa ccc gaae fccccf gaae ccc faaa fccccd aaaf ccc aaa ccccb aaa fccc aaaf ccccc aaa dccb eaag bcccc eaag bccd aaa dcccc aaad cccf aaa fccccf aaa ccc gaae ccccd aaa ccc daaa ccccb faaa ccc aaa ccc eaae ccc aaaf b aaaf fccb eaag aaa dccd aaa aaa bccf aaa daag ccc gaae gaad ccc daaa aaa ccc aaa aaa ccc aaaf faaa fccc eaag eaag dccb aaa aaaf fbcccccd aaa aaa fdcccccccccc gaae aaaccccccccccccb daaa dccaaaccccccccd aaaeeedddddddfffffff cccgaagcccbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa cccaaad eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa dbfaaa deeeeeeggggggggaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaa daag gaad aaa aaa faaa eaae aaaf aaa aaa daag gaad aaa aaa ``` <!-- end of image -->
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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,#28f60bff b,#e8a790ff c,#95d092ff d,#f2ccc0ff e,#65ed50ff f,#f0f6ebff g,#b1d7b1ff ``` ```image f bbd bbbb bbbbbf bbbbbbb bbbb bbb bbbbf bbbd dbbbf fbbb fae dbbbd bbb faaac dbbbd dbbd caaaf fbbbd bbb eaaaf fbbbb bbb aaaa bbbb dbbd aaaa ffffffffffffffffffffffff bbbb bbb aaaafcggggggggggggggggggggggc bbbb bbb faaaegggggggggggggggggggggggcbbbb dbbb faaaeggggggggggggggggggggggbbbb bbb caaacggggggggggggggggggggbbbb bbbf eaaagggggggggggggggggggbbbbf fbbb aaaagggggggggggggggggbbbbf bbb faaaagggggggggggggggbbbbc bbbf fgaaaaggggggggggggggbbbbc fbbb fggaaaaggggggggggggbbbbgc bbb fggcaaaeggggggggggbbbbggc dbbd fgggeaaacggggggggbbbbgggc bbb fggggeaaacggggggbbbbggggc bbb fgggggaaaagggggbbbbgggggc dbbd fggggggaaaagggbbbbggggggc bbb fgggggggaaaagbbbbgggggggc bbb fggggggggaaaabbbggggggggc dbbd fggggggggcaaaebgggggggggc bbb fgggggggggcaaacgggggggggc bbbf fggggggggbbeaaacggggggggc fbbb fggggggggbbbaaaaggggggggc bbb fgggggggbbbbgaaaagggggggc bbbf fggggggbbbbgggaaaaggggggc fbbb fgggggbbbbgggggaaaagggggc bbb fggggbbbbggggggcaaaeggggc bbbd eaef fgggbbbbggggggggcaaacgggc bbb aaa fggbbbbggggggggggeaaacggc bbb aaa fgbbbbggggggggggggaaaaggc dbbd gaae fbbbbggggggggggggggaaaagc bbb eaaf bbbbggggggggggggggggaaaac bbb aaa bbbbggggggggggggggggggaaaa dbbd aaa dbbbgggggggggggggggggggcaaae bbb caae dbbbgggggggggggggggggggggcaaag gcccbbbcccccccccccccaaaccccc dbbbdggggggggggggggggggggggeaaaf cggggbbbggggggggggggaaaggggg bbbdfgggggggggggggggggggggggaaaaf cggggbbbggggggggggggaaaggggg bbbb fcggggggggggggggggggggggcaaaa cggggbbbgggggggggggeaaeggggg fbbb ffffffffffffffffffffffff aaaa cgggggbbbggggggggggaaagggggg bbbd aaaa cgggggbbbggggggggggaaagggggg fbbb faaae cgggggbbbgggggggggcaaagggggg bbbf gaaac cggggggbbbggggggggaaacgggggg dbbb caaaf cggggggbbbggggggggaaaggggggg bbbf eaaaf cggggggbbbbgggggggaaaggggggg fbb aaaa cgggggggbbbggggggeaaeggggggg aaaa cgggggggbbbggggggaaagggggggg aaaa cgggggggbbbbgggggaaagggggggg faaae cggggggggbbbgggggaaagggggggg gaaac cggggggggbbbgggggaaagggggggg caaag cgggggggggbbbgggeaaegggggggg eaaaf cggggggggceaaaaaaaacggbbbggg aaaa cgceaaaaaaaaaaaaaaagggbbbggg aaaa fgeaaaaaaaaaaaaaaaaaaaeeggggbbbggg aaaaaaaaaaaaaaaaaaaecbbbgggggggbbbbggg faaaaaaaaaaaecgggggggbbbgggggggbbbgggg faaecf cgggggggggggbbbggggggbbbgggg cgggggggggggbbbggggggbbbgggg cgggggggggggbbbgggggbbbggggg cggggggggggggbbbggggbbbggggg cggggggggggggbbbggggbbbggggg cggggggggggggbbbbggbbbgggggg cgggggggggggggbbbggbbbgggggg cgggggggggggggbbbggbbbgggggg cgggggggggggggbbbbbbbbgggggg cggggggggggggggbbbbbbggggggg cggggggggggggggbbbbbbggggggg cgggggggggggggggbbbbbggggggg cgggggggggggggggbbbbgggggggg cgggggggggggggggbbbbgggggggg gccccccccccccccccbbbcccccccc bb ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#27f60aff b,#eaa68fff c,#83f46dff d,#f1c6b7ff e,#51f436ff f,#eeefdeff g,#b8fbaeff ``` ```image c ac aag f aaag fb aaaaf bb aaaaef bbb aaaaae dbbb aaaaaac dbbbb aaaaaaac dbbbbb gaaaaaaag dbbbbbb gaaaaaaag dbbbbbbb caaaaaaaf fbbbbbbbd eaaaaaaef fbbbbbbbd eaaaaaae fbbbbbbbd feaaaaaac fbbbbbbbd faaaaaaac fbbbbbbbd gaaaaaaag bbbbbbbb gaaaaaaag bbbbbbbb caaaaaaaf dbbbbbbbf caaaaaaef dbbbbbbbf eaaaaaae dbbbbbbbf feaaaaaae dbbbbbbbf faaaaaaac dbbbbbbbf gaaaaaaag dbbbbbbbd gaaaaaaag fbbbbbbbd caaaaaaaf fbbbbbbbd caaaaaaafbbbbbbbd eaaaaaaebbbbbbd feaaaaaaebbbbb faaaaaaaebbb gaaaaaaacb caaaaaaag dbcaaaaaaag dbbbeaaaaaaaf dbbbbbeaaaaaae dbbbbbbbeaaaaaae fbbbbbbbdfaaaaaaac fbbbbbbbd gaaaaaaac fbbbbbbbd gaaaaaaag fbbbbbbbd caaaaaaag fbbbbbbbd caaaaaaaf bbbbbbbb eaaaaaaef bbbbbbbb feaaaaaae dbbbbbbbf faaaaaaac dbbbbbbbf gaaaaaaac dbbbbbbbf gaaaaaaag dbbbbbbbf caaaaaaag dbbbbbbbf caaaaaaaf fbbbbbbbd eaaaaaaef fbbbbbbbd eaaaaaae fbbbbbbbd faaaaaaac fbbbbbbbd gaaaaaaac bbbbbbbd gaaaaaaag bbbbbbb gaaaaaaa bbbbbb caaaaaa bbbbbf eaaaaa bbbbf eaaaa bbbf feaaa bbf faaa bf gaa d ga c ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Hmm, interesting. Let's check out another area. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#27f60aff b,#eaa68fff c,#8cf77aff d,#f0c5b6ff e,#59f53fff f,#f3e6daff g,#befbb4ff ``` ```image bbbbbb aaaaaa dbbbbbf gaaaaae fbbbbbd caaaaac bbbbbbf eaaaaag dbbbbbd aaaaaa fbbbbbb gaaaaae bbbbbbf caaaaac dbbbbbd aaaaaaf fbbbbbb faaaaae bbbbbbf caaaaac dbbbbbd eaaaaag fbbbbbb aaaaaa bbbbbbf gaaaaae dbbbbbd caaaaac bbbbbb eaaaaag dbbbbbf aaaaaa fbbbbbd gaaaaae bbbbbb caaaaac dbbbbbd eaaaaaf fbbbbbb faaaaaa bbbbbbf gaaaaac dbbbbbd eaaaaag fbbbbbb aaaaaaf bbbbbbf gaaaaae dbbbbbd gaaaaac fbbbbbb caaaaag bbbbbbf eaaaaag dbbbbbd eaaaaa bbbbbb aaaaae dbbbbbf gaaaaae fbbbbbd fcaaaaac bbbbbbggceeaaaaaaaag fbdf fgceeaaaaaaaaaaaaaaaag dbbbbd fgcceeaaaaaaaaaaaaaaaaaaaaaa bbbbbb ggcceaaaaaaaaaaaaaaaaaaaaaaaaaaaaae fbbbbbd eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaef dbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeecgg bbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaeecgg fbbbbbb aaaaaaaaaaaaaaaaeeccgdbbbbbd dbbbbbd aaaaaaaaaeeccgf fbbbbbb bbbbbbf aaeecggf bbbbbbf bbbbbb f dbbbbbd fbbbbbd fbbbbbb dbbbbbf bbbbbbf bbbbbb fbbbbbd fbbbbbd bbbbbb dbbbbbf dbbbbbf bbbbbb fbbbbbd fbbbbbb bbbbbb dbbbbbd dbbbbbd bbbbbbf fbbbbbb bbbbbb bbbbbbf fbbbbbd dbbbbbd dbbbbbf fbbbbbb bbbbbb bbbbbbf fbbbbbd dbbbbbd dbbbbbf fbbbbbb bbbbbb bbbbbbf fbbbbbb dbbbbbd dbbbbbd bbbbbb bbbbbbf dbbbbbdbbbbbb fbbbbbbbbbbbd bbbbbbbbbbbf dbbbbbbbbbb fbbbbbbbbbd bbbbbbbbbf dbbbbbbbb fbbbbbbbb bbbbbbbd ``` <!-- end of image --> As I suspected, there's 1 intersection within area B. Answer: A: 1; B: 1; 1 + 1 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#28f60bff b,#eaa68fff c,#99f889ff d,#f1c7b9ff e,#63f54bff f,#f5ede3ff g,#cafcc3ff ``` ```image bbd bbbb bbbbbf bbbbbbb bbbb bbb dbbbf dbbf dbbbf bbb fae dbbbf bbb aaac fbbbd dbbd caaag fbbbd bbb eaaaf fbbbb bbb aaaa bbbb dbbd aaaa bbbb bbb aaaa bbbb bbb faaae bbbb fbbd gaaac bbbb bbb caaag bbbb bbbf eaaaf bbbbf fbbb aaaa dbbbf bbb aaaa dbbbf bbbf aaaa dbbbd fbbb aaae fbbbd bbb gaaac fbbbd dbbd caaag bbbb bbb eaaaf bbbb bbb aaaa bbbb dbbd aaaa bbbb bbb aaaa bbbb bbb aaaabbb dbbd gaaaeb bbb caaac bbbf dbeaaaf fbbb dbbbaaaa bbb fbbbd aaaa bbbf fbbbd aaaa fbbb fbbbb aaae bbb bbbb faaae dbbf eae bbbb gaaac bbb aaa bbbb eaaag bbb aaa bbbb eaaa dbbd gaae bbbb aaaa bbb eaag bbbb aaaa bbb aaa bbbbf aaaa dbbd aaa dbbbf faaae bbb caac dbbbf gaaac bbb aaaf fbbbd caaag fbbb aaa bbbd eaaa bbb faaa bbbb aaaa bbbf eaac fbbb aaaa fbbb aaa bbbd aaaa bbb aaa fbbb faaae bbbf gaae bbbf gaaac fbbb eaag dbbb caaag bbb aaa bbb eaaaf dbbd aaa fbb aaaa bbb caae aaaa bbb aaaf aaaa dbbd aaa faaae bbb aaa gaaac bbb aaa caaag dbbd caac eaaaf geaaaaaaaag dbbf aaaa fgeaaaaaaaaaaaaaaa bbb aaaa fceaaaaaaaaaaaaaaaaaaaec bbb aaaaaaaaaaaaaaaaaaacgbbb dbbd aaaaaaaaaaecg bbbf bbb gaaecg fbbb bbb bbb fbbd dbbd bbbf bbb bbb bbb fbbb dbbd dbbf bbb bbb bbb bbb dbbddbbd bbbbbb bbbbbb fbbbbd bbbbf bbbb fbbb bb ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#686aa0ff b,#6ff5d3ff c,#bcdbe0ff d,#b0d7b1ff e,#9097b6ff f,#eaf5f1ff g,#96c898ff ``` ```image ae faa eaaf aaae aaaa caaaa aacaaf aa eae faa faa eae aa aaf aaf fbb aa eae cbb caa faa bbc aac aa bbc aa aac bbf aa eae bb eae faa bb aac aa bb aa aac bb caa eae bb eae aa fbb aaf aa cbb aa aac bb cbc caa caa bbb bbc aac aa bbbb bbf aa aa fbbbbb bb faa aac cbbb bb bb eae caa bbbb bbfbb aaf aa bbbc bbcbb aa fgggggggaaggggggggggggggfbbbf bbcbb caa fdddddddaaedddddddddddddbbb cbbbb ffffffffffffffffff aac fdddddddeaaddddddddddddbbb cbbbb dddddddddddddddddg aa fddddddddaadddddddddddbbb fbbbc dddddddddeaddddddg faa fddddddddaadddddddddbbbbf bbbc dddddddddaaaeddddg eae fddddddddaaedddddddbbbbdf bbbf ddddddddeaaaaedddg aaf fddddddddgaaddddddbbbdddf bbb ddddddddaageaaaddg aa fdddddddddaadddddbbbddddf bbb dddddddgaaddgaaadg caa fdddddddddaaddddbbbdddddf bbb dddbdddaaeddddaaag eae fdddddddddaaeddbbbddddddf bbb dddbbddaaddddddaaaf aa fdddddddddgaabbbbdddddddf bbb dddbbdaaedddddddaaac aa fddddddddddaabbbddddddddf bbb dddbbbaadddddddddaaae eaa fddddddddddaabddddddddddf bbb ddddbeaadddddddddgeaae aac fdddddddddbaaeddddddddddf cbb ddddbaaddddddddddg caaa aa fddddddddbbbaaddddddddddf fbf ddddeaaddddddddddg faaa faa fdddddddbbbdaaddddddddddf ddddaabbdddddddddg aaaf eae fddddddbbbddaaddddddddddf ddddaabbdddddddddg aaaf aaf fddddbbbbdddeaedddddddddf dddaaebbbddddddddg aaac aa fdddbbbddddddaadddddddddf dddaaddbbddddddddg eaae caa fddbbbdddddddaadddddddddf ddeaaddbbbdddddddg caaa aac fdbbbddddddddaagddddddddf ddddddddbbdddddddg faaaaa fbbbdddddddddeaaddddddddf ddddddddbbdddddddg aaaa fbbbdddddddddddaaddddddddf dddddddddbbddddddg aae cbbbddddddddddddaaddddddddf dddddddddbbddddddg c bbbcdddddddddddddaagdddddddf dddddddddbbbdddddg bbbffgggggggggggggeaagggggggf ddddddddddbbdddddg bbbf faa ddddddddddbbbddddg fbbb aa fffffffffffbbfffff fbbb aac bbb cbbb eae bb bbbc aa bbb bbbf aa bb bbbf aac bbc bbb caa fbb fbbb aa bbc cbbb aa fbb cbbb aac bbf bbbc caa cbb bbbf aa bbf bbb aa cbb fbbb aac bb fbbb caa bbbcbbb aa bbbbc aa bbbf eae fec bf caa ceaaaa aa caaaaaaef aaf eaaaaaae eae feaaaaaac caaaaaaaef aaaae cc ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#6769a0ff b,#6cf4d3ff c,#c6c6dbff d,#a3f8e3ff e,#9a9fc1ff f,#e0f2f2ff g,#7983aeff ``` ```image cc eaagf faaaaaf eaaaaaac faaaaaaaac eaaaaaaaaae aaaaeeaaaaae caaaaf eaaaaagf gaaag caaaaagf caaaac caaaaaac f eaaag fgaaaaac fdbf faaaac fgaaaaae dbbbd eaaaa eaaaaa dbbbbf faaaae eaaaa bbbbd caaaaf caaa dbbbbf gaaae caa bbbbdcaaaac fg dbbbbgaaag f fbbbbaaaac dbbgaaaa fbbaaaae dgaaaaf faaaae caaaab gaaagbf caaaabbb eaaaabbbf faaaaebbbd eaaaadbbbbf faaaae bbbbd caaaaf dbbbbf gaaae bbbbd caaaac dbbbb eaaag fbbbbd cgac dbbbb f fbbbbd dbbbb fbbbbf bbbbb fbbbbf bbbbd dbbbbf bbbbd dbbbbf bbbbd dbbbb fbbbbd ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Now, let's scrutinize the next spot. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#6769a0ff b,#6df5d4ff c,#c9caddff d,#a4f8e4ff e,#a1a9c7ff f,#ddf6f2ff g,#7f88b1ff ``` ```image caaaa faaaaf gaaae eaaag d caaaa fbb faaaac fbbb gaaae fbbbb eaaag dbbbbb caaaa dbbbbbd faaaac dbbbbbd gaaae fbbbbbbd eaaag fbbbbbbf caaaa fbbbbbbf aaaac dbbbbbbf gaaae dbbbbbb eaaag dbbbbbd caaaa bbbbbbd aaaac fbbbbbbd gaaae fbbbbbbf eaaag fbbbbbbf caaaafdbbbbbbf aaaaebbbbbd gaaagbbbbd eaaaabbbd caaaabbf fbaaaaef dbbgaaae dbbbgaaag dbbbbbaaaaf fbbbbbbdaaaac fbbbbbbf gaaae fbbbbbbf caaaa dbbbbbbf faaaaf dbbbbbb aaaac dbbbbbd eaaae bbbbbbd caaaa fbbbbbbd faaaaf fbbbbbbf aaaac fbbbbbbf eaaag dbbbbbbf caaaa dbbbbbd faaaac dbbbbbd gaaae fbbbbbbd eaaag bbbbbbf caaaa bbbbbf faaaac bbbbf gaaae bbd eaaag bd caaaa d faaaac gaaae ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#6769a0ff b,#6df5d4ff c,#c5c6daff d,#a5f9e4ff e,#a1a2c4ff f,#ddf2f1ff g,#8084b0ff ``` ```image ag faa gaaf aaae aaaa caaaa aacaaf aa eae faa faa eag aa aaf aaf fbb aa eag dbd caa faa dbd gae aa bbf aa aac bbf aa eag bb eag aa bb aac aa bb aa aac bb faa eag bb gae aa fbb aa aa dbb aa aac bb dbd caa cag bbb bbd aac aa bbbb bbf aa aa fbbbbb bb faa aac dbbb bb bb eae caa dbbd bbfbb aaf aa bbbd bbfbb aa aa bbbf dbdbb caa gac bbb dbbbb aac caa fbbb fbbbb aa aa fbbb fbbbd eaf aa aa dbbd bbbd aaac eag gae bbbd bbbf eaaaae aaf caa bbbf bbb aafeaag aa aa bbb bbb caa caaa caa aa bbb bbb df aac faaa gae gae fbbb bbb dbb aa aaaf aa caadbbb bbb bbfgae aaac aa aabbd bbb dbbaa gaae eag aabf bbb bgaa eaag aac bgae dbd daaf caaa aa bbbaa bf caa faaa faa fbbb aa aabb aaa gae dbbb aaf faabb aaaf aaf dbbd eae aaebbd gaac aa bbbd faa aa bb eaag caa bbbf aa eag bbd caag aac bbb aaf fbb faaaaa fbbb eag bbf aaaa fbbb faa fbb aag dbbd aa bbf c bbbd aac dbb bbbf eag bb bbb aa dbb bbb aa bb fbbb aac bbb dbbb eag bb dbbd aa bbd bbbf aa bb bbbf aac bbd bbb cag fbb fbbb aa bbd dbbb aa fbb dbbd aac bbf bbbd caa dbb bbbf aa bbf bbb aa dbb fbbb gac bb fbbb caa dbbdbbd aa bbbbd aa bbbf gae ec b caa fgaaaa aa caaaaaagf aaf eaaaaaae gae fgaaaaaac caaaaaaagf aaaae cc ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#bc7699ff b,#d5e8edff c,#cca7b8ff d,#eef5f2ff e,#b2d8b2ff f,#a7d0a7ff g,#96c995ff ``` ```image dbb bbbb bbbbb bbbbbb bbbddbb dbbb dbb bbbb dbb bbbb dbb bbbb bb bbbd bb dbbb bb bbbb bb bbbb bb bbbb bb bbbd bb dbbbd bb dbbb bb bbbb bb bbbb bb ddddddddddddddddddddddd bbbd bb dfffffffffffffffffffffffd dbbbd bb dfeeeeeeeeeeeeeeeeeeeeefd dbbb bbd dfeeeeeeeeeeeeeeeeeeeeefd bbbb bbd dfeeeeeeeeeeeeeeeeeeeeefd bbbb bbd dfeeeeeeeeeeeeeeeeeeeeefd bbbd bbd dfeeeeeeeeeeeeeeeeeeeeefdbbbd bbd dfeeeeeeeeeeeeeeeeeeeeebbbb bbd dfeeeeeeeeeeeeeeeeeeeebbbb bbd dfeeeeeeeeeeeeeeeeeeebbbb bbd dfeeeeeeeeeeeeeeeeeebbbbd bbd dfeeeeeeeeeeeeeeeeebbbefd fgggggggggbbbgggg daaac dfeeeeeeeeeeeeeeebbbbeefd geeeeeeeeebbbeeee aaaaaaaacd dfeeeeeeeeeeeeeebbbbeeefd geeeeeeeeebbbeeee aaacaaaaaaaaacbfeeeeeeeeeeeeebbbbeeeefd geeeeeeeeebbbeeee caab baaaaaaaaaaceeeeeeeeebbbbeeeeefd geeeeeeeeebbbeeee baac dcaaaaaaaaaafeeebbbeeeeeeefd geeeeeeeeebbbeeee aaa dfcaaaaaaaaaacbeeeeeeeefd geeeeeeeeebbbeeee aaa dfeeeefaaaaaaaaaaceeeeefd geeeeeeeeebbbeeee aaad dfeeeeeeebbcaaaaaaaaaaffd geeeeeeeeebbbeeee caac dfeeeeeebbbbeeecaaaaaaaaaab geeeeeeeeebbbeeee daaa dfeeeeebbbeeeeeeeeefaaaaaaaaaacd geeeeeeeeebbbeeee aaa dfeeebbbbeeeeeeeeeeeeeefcaaaaaaaaacb geeeeeeeeebbbeeee aaa dfeebbbbeeeeeeeeeeeeeeefd caaaaaaaaaac geeeeeeeeebbbeeee caab dfebbbbeeeeeeeeeeeeeeeefd bcaaaaaaaaacdgeeeeeeeeeebbeeee baac dfbbbbeeeeeeeeeeeeeeeeefd dcaaaaaaaaaafeeeeeeebbeeee caa dbbbeeeeeeeeeeeeeeeeeeefd baaaaaaaaaaceeebbeeee d dbbbeeeeeeeeeeeeeeeeeeeefd gaaaaaaaaaacbeeee bbbbeeeeeeeeeeeeeeeeeeeeefd geeeecaaaaaaaaeee bbbbfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeecaaaaeee bbbbdfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee bbbd dfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee dbbb dfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee bbbb dfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee bbbb dfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee bbbb dfeeeeeeeeeeeeeeeeeeeeefd geeeeeeeeeebbeeee bbbd dgggggggggggggggggggggggd geeeeeeeeeebbeeee dbbb geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbd geeeeeeeeeebbeeee dbbbd geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbb geeeeeeeeeebbeeee bbbd fggggggggggbbeggg bd bbd bbd bbd bbd bbd bbb bbb bbb bbb bbb bbb bbb bbb dbb dbb ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bc7499ff b,#d5e9efff c,#dcbbcdff d,#eef3f6ff e,#ecd9e3ff f,#ce9db7ff g,#c385a6ff ``` ```image d bb bbb dbbbb dbbbbb dbbbbbb bbbbbbbd bbbbbbbd dbbbbbbbd dbbbbbbb dbbbbbbb bbbbbbbd bbbbbbbd dbbbbbbbd ed dbbbbbbbd aagfce dbbbbbbb aaaaaaafce bbbbbbbd aaaaaaaaaaagced bbbbbbbd aaaaaaaaaaaaaaagfce dbbbbbbbd cgaaaaaaaaaaaaaaaaaafcedbbbbbbbd ecfaaaaaaaaaaaaaaaaaagfcbbb ecfgaaaaaaaaaaaaaaaaagfce decgaaaaaaaaaaaaaaaaaafced ecfaaaaaaaaaaaaaaaaaagfcd dbbbcfgaaaaaaaaaaaaaaaaagfce dbbbbbbbdecfaaaaaaaaaaaaaaaaaaf dbbbbbbb ecfgaaaaaaaaaaaaaa bbbbbbbd dcfgaaaaaaaaaa dbbbbbbbd decfaaaaaa dbbbbbbbd ecfga dbbbbbbb d dbbbbbbb bbbbbbbd dbbbbbbbd dbbbbbbbd dbbbbbbb dbbbbbbb bbbbbbbd dbbbbbbbd bbbbbbbd bbbbbb bbbbb bbbd bbd bd ``` <!-- end of image --> I observe 1 intersection inside area A. Now, let's scrutinize the next spot. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#bc7499ff b,#d5e9efff c,#d7b6c9ff d,#e0eef2ff e,#e8d4dfff f,#cb96b2ff g,#f0f5f7ff ``` ```image bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbb bbbbb bbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbbg dbbbbg gbbbbg gbbbbg gbbbbg gbbbbg afce gbbbbg aaaaafceg gbbbbg aaaaaaaaafceg gbbbbg aaaaaaaaaaaaaafce gbbbbg aaaaaaaaaaaaaaaaaafcedbbbbg ecfaaaaaaaaaaaaaaaaaaafceg gecfaaaaaaaaaaaaaaaaaafe gecfaaaaaaaaaaaaaaae ecfaaaaaaaaaaag gecfaaaaaa gbccfaf bbbbdg bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbd bbbbb bbbbb bbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbbg dbbbbg dbbbbg gbbbbg gbbbbg gbbbbg gbbbbg gbbbbg gbbbbg ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#bc7499ff b,#d5e9efff c,#dab6c9ff d,#e3eff3ff e,#e7d3dfff f,#ca95b1ff g,#f2f6f8ff ``` ```image gbd dbbb bbbbb bbbbbb gbbbggbb gbbbg gbb dbbb gbb bbbb gbb bbbd gbb bbbd bb gbbbg bb dbbb bb bbbb bb bbbb bb bbbd bb gbbbg bb dbbb bb bbbb bb bbbb bb bbbd bb gbbbg bbg dbbb bbg bbbb bbg bbbb bbg bbbd bbg gbbbg bbg dbbb bbd bbbb bbd bbbb bbd bbbd bbd gbbbg bbd gaaac dbbb bbd aaaaaaaacd bbbb bbd aaacaaaaaaaaafe bbbb bbb faae efaaaaaaaaacg bbbd bbb eaaf efaaaaaaaaafd gbbbg bbb gaaa gcaaaaaaaaafcb dbb aaa efaaaaaaaaacg dbb aaag befaaaaaaaaafe dbb caac bbbd caaaaaaaaafe dbb daaf gbbbg efaaaaaaaaacg dbb aaa dbbb gcaaaaaaaaafe dbb aaa dbbb caaaaaaaaaac dbb faae bbbb efaaaaaaaaacg gbb eaaf bbbd gcaaaaaaaaafe gbb faa gbbbg efaaaaaaaaac gbb e dbbbg efaaaaaaaaafe dbbb gcaaaaaaaa bbbb efaaa bbbd gbbg gbbbg bb gbbbg bb dbbb bb bbbb bb bbbd bb gbbbg bb gbbbg bb dbbb bb bbbb bb bbbd bb bbbd bbg gbbbg bbg dbbb bbg bbbb bbg bbbb bbg bbbd bbg bg bbg bbd bbd bbd bbd bbd bbd bbd bbb bbb bbb dbb dbb dbb dbb ``` <!-- end of image -->
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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,#59b993ff b,#9f1218ff c,#c2978dff d,#b1d7b1ff e,#ae5b57ff f,#eff4eeff g,#91c99cff ``` ```image df aag aadaa da faaf ad aad aa gag da faa fad aaf aa aad da daa ffffffffffffffffffff fad faa fgddddddddddddddddddd aa aaf fdddddddddddddddddddd da gag fdddddddddddddddgdddd fad daa fdddddddddddddddbcddd aa faaf fddddddddddddddcbdddd da aad fddddddddddddddbbdddd fad daa fddddddddddddddbedddd aa faafddddddddddddddbddddd ga aagddddddddddddebddddd fad aaadddddddddddbbddddd aa fgaaddddddddddbcddddd ga fddaaddddddddcbdddddd fad fdddaagddddddebdddddd aa fddddaaadddddbedddddd ga fdddddgaaddddbgdddddd fad fdddddddaaddcbddddddd aa fddddddddaagbbddddddd ga fdddddddddgaaeddddddd ad fddddddddddgaaddddddd da fddddddddddebaagddddd da fddddddddddbbdaaadddd ga fddddddddddbcddgagddd aa fdddddddddcbddddddddd ag fdddddddddbbddddddddd ad fdddddddddbeddddddddd ad fdddddddddbdddddddddd af fddddddddebdddddddddd a fddddddddbbdddddddddd fa fddddddddbedddddddddd ffffffffffffffdaffffffff fddddddddbddddddddddd gdddddddddddddgadddddddg fdddddddebddddddddddd gdddddddddddddaadddddddg fdddddddbbddddddddddd gdddddddddddddaadddddddg fdddddddbcddddddddddd gdddddddddddddaadddddddg fddddddcbdddddddddddd gdddddddddddddagdddddddg fddddddbbdddddddddddd gdddddddddddddagdddddddg fddddddbedddddddddddd gdddddddddddddaddddddddg fgdddddbgdddddddddddd gdddddddddddddaddddddddg fffffcbfffffffffffff gdddddddddddddaddddddddg bb d gddddddddddddgaddddddddg bc bbc gddddddddddddgaddddddddg fb ebbe gddddddddddddaaddddddddg eb ebbbddddddddddddaaddddddddg be cbbbddddddddddaaddddddddg bf gcbbbcdddddddagddddddddg cb gdddbbbedddddagddddddddg bb gdddddbbbeddaadddddddddg bc gdddddddebbeagdddddddddg bf gdddddddddeaabdddddddddg cb gdddddddddaacbbbcddddddg bb gddddddddaaddddbbbeddddg bc gdddddddaadddddddbbbeddg fb gddddddgagdddddddddebbbg eb gddddddagddddddddddddebbbf be gdddddaadddddddddddddddcbbbd bf gddddaaddddddddddddddddg fbbbc cb gdddaadddddddddddddddddg ebbe bb gddgaddddddddddddddddddg ebbe bc gdgagddddddddddddddddddg cbbbf fb gdaadddddddddddddddddddg dbbbd cb gaaddddddddddddddddddddg fbbbc bb aadddddddddddddddddddddg ebbe bc gaddddddddddddddddddddddg ebbe fb fagddddddddddddddddddddddg cbbbf eb aggddddddddddddddddddddddg dbbbd be aa gddddddddddddddddddddddg fbbbc bf aa gddddddddddddddddddddddg ebbe cb gaf ffffffffffffffffffffffff ebbbb dad cbc ag f ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#58b893ff b,#9f1218ff c,#d29193ff d,#80c8acff e,#b65154ff f,#e2e1ddff g,#b0deccff ``` ```image gaag gaag daaf daaf daa aaa aad faad faad gaag gaag gaag daaf daaf daa aaa aad faad faad gaag gaag gaag daaf daaf f daa bec aaa bbbbc aad bbbbbbcf faad cebbbbbef faad febbbbbef gaag febbbbbec gaag fcbbbbbbc gaag cbbbbbbcf aaaf cebbbbbef daad febbbbbef gaaaf febbbbbeaaaf fcbbbaaad caaaabbcf daaabbbbbef daaaffebbbbbef gaaaf febbbbbec faaag fcbbbbbbc faaad cbbbbbbcf daad cebbbbbef daaa febbbbbef gaaaf febbbbbec faaag fcbbbbb faaad cbbb daad ce daaa gaaaf gaaag faaag aaad daaa gaaaf gaaag faaag aaad daad gaaaf gaaaf faaag aaad daad aaaf aaf ag d ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area A! Let's shift our focus to the next area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#5bb994ff b,#9f1016ff c,#c77477ff d,#97d1baff e,#b03e42ff f,#e2e4dfff g,#ddabadff ``` ```image ff cbeg ebbf fbbb gbbc cbbg bbbf fbbe cbbc ebbg bbb gbbe af cbbg aad ebbf aaad fbbe daaaaf gbbc daaaaf cbbg faaaad bbbf daaad fbbe daaaaf cbbc faaaad ebbg faaaad bbb daaaaf gbbe daaaaf cbbg faaaad ebbf daaad fbbe daaaaf gbbc faaaaf cbbg faaaad bbb daaaabbe daaaaec faaaad faaaad gbaaaaaf cbbdaaaaf ebbffaaaad fbbe daaad gbbc daaaaf ebbg faaaf bbb fad gbbe cbbc ebbf fbbb gbbc cbbg ebbf fbbe gbbc ebbg bbb gbbe cbbg ebbf fbbb gbbc cbbg bbbf fbbe cbbc ebbg bbb gbbe cbbg ebbf fbbe gbbc cbbg ``` <!-- end of image --> The lines cross each other within area B, forming 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#59b994ff b,#9f1117ff c,#d18f91ff d,#97d3bcff e,#b85155ff f,#dce8e1ff g,#e5bfc0ff ``` ```image ff aad aadaa da aa ad aaf aa daa da faa ad aaf aa aad da daa ad faa aa aaf da dad f ad faa bg aa aaf cb da aad bb ad daa bc aa faa b da aaf cb ad aad bb aa daa bg da aa gb ad aad eb aa daa be da faa bf ad aaf cb aa aadbb da daac ad faa fa ebaaf da be dad da bg faf aa gb ad eb ad be af bf af cb a bb fa bc fa fb da eb da be aa bg ad gb ad eb af be af b a cb fa bb g fa bc bbc da fb ebbe da eb ebbe aa be cbbbf ad bg gbbbg ad gb fbbbc af bb ebbe da bc ebbeaf b caabf cb aagbbbg bb aa fbbbc bc aa ebbe fb daf ebbe eb fad cbbbf be aa gbbbg bg aa fbbbc cb aa ebbe bb daf ebbe bc fad cbbbf b aa gbbbg cb aa fbbbc bb aa ebbe bg daf ebbe gb fad cbbbf eb aa gbbbg be aa fbbbc bf aa ebbe cb da ebbbb faf cbc ad f ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5e563ff b,#f990f0ff c,#d8f1adff d,#f3f3eeff e,#b1d6b0ff f,#97cb94ff g,#f1b5ebff ``` ```image gg gbbbg bbbbbbg gbbbbbbbbb bbbbbbbbbbbb gbbb bbbbbbbb bbbb bbbbbbbb dbbbd bbbbbbbb dffffffffffffffffffff bbbb gbbbbbbbd deeeeeeeeeeeeeeeeeeee dbbbg gbbbbbbbd deeeeeeeeeeeeeeeeeeee bbbb gbbbbbbbd deeeeeeeeeeeeeeeeeeee bbbg gbbbbbbbddeeeeeeeeeeeeeeeeeeee bbbb gbbbbbbbeeeeeeeeeeeeeeeeeeee bbbg gbbbbbbbgeeeeeeeeeeeeaeeee bbbb gbbbbbbbgeeeeeeeeeaaaeee bbbg dbbbbbbbgeeeeeeaaaaaee ddddddddddddddddgbbbdddd debbbbbbbgeeeeaaaaeee feeeeeeeeeeeeeeebbbbeeef deeebbbbbbbgeaaaaeeee feeeeeeeeeeeeeegbbbeeeef deeeeebbbbbbaaaaeeeee feeeeeeaaeeeeeebbbbeeeef deeeeeeebbbaaaaaeeeee feeeeeaaaaeeeegbbbeeeeef deeeeeeeeeeaaaaeeeeee feeeeeaaaaeeeebbbbeeeeef deeeeeeeeeaaaaeeeeeee feeeeaaaaaeeeebbbeeeeeef deeeeeeeeaaaageeeeeee feeeeaaaaaaeebbbbeeeeeef deeeeeeeaaaaebeeeeeee feeeaaaaaaaeebbbeeeeeeef deeeeeefaaaabbgeeeeee feeeaaafaaaabbbbeeeeeeef deeeeeeaaaabbbbeeeeee feeaaaaeaaaabbbgeeeeeeef deeeeeaaaaegbbbeeeeee fefaaaeeeaaagbbeeeeeeeef deeeeaaaaaeebbbeeeeee feaaaaeeeaaaabgeeeeeeeef deeeaaaaaeeebbbeeeeee faaaaeeeeaaaabeeeeeeeeef deeeaaaaeeeebbbgeeeee faaaaeeeeeaaaeeeeeeeeeef deeaaaaeeeeebbbbeeeee aaaaeeeeegaaaaeeeeeeeeef deaaaafeeeeebbbbeeeee aaaaeeeeebaaaaeeeeeeeeef daaaaaeeeeeegbbbeeeee aaaaeeeeegbeaaaeeeeeeeeef caaaaeeeeeeeebbbeeeee aaaaeeeeebbgaaaeeeeeeeeef aaaaeeeeeeeeebbbeeeee aaaaeeeeegbbbaaaeeeeeeeeef aaaacdddddddddbbbgdddd aaaaeeeeebbbbaaaeeeeeeeeef aaaaa bbbb aaaaeeeeeebbbeaaafeeeeeeeef caaaa gbbb daaaaeeeeebbbbeaaaaeeeeeeeef aaaa dbbb aaaafeeeeebbbeeaaaaeeeeeeeef aaaac bbb daaacfeeeebbbbeeaaaaeeeeeeeef aaaaa bbbg aaaa feeeebbbgeeeaaaeeeeeeeef caaaa bbbg daaac feeebbbbeeeeaaaeeeeeeeef daaaa bbbb aaaa feeebbbgeeeeaaaeeeeeeeef aaaad gbbb caaac effbbbbfffffaaaffffffffe aaaac dbbb aaaa bbbg aaaa caaaa bbbd caaac gbbb aaaa daaaa bbbg aaaa bbbb caaa aaaad gd caaad gbbb caaa aaaac aaaa bbbb aaa caaaa caaad gbbb aaad daaaa aaaa bbbb aaac aaaad aaaad dbbbd aaaa aaaac aaaa bbbb aaaa caaaa aaaa dbbbg caaa daaaa aaaa bbbb caaa aaaa aaaa bbbg daaa aaaac daaaa bbbb aaad aaaaa aaaa bbbg aaac caaaa daaac bbbb aaaa aaaa aaaa bbbg aaaa aaaad daaac gbbb caaa aaaaa caa bbbb caaa caaaa c gbbb daaa daaaa bbbb aaad aaaad gbbb aaac aaaac bbbb aaaa caaaa gbbbd aaaa daaaa bbbb caaa aaaad bbbb caaa aaaac dbbbg daaa caaaa bbbb aaaddaaaa gbbbd aaacaaaad bbbb aaaaaaac bbbb aaaaaaa dbbbb caaaaa bbbb caaaa gbbbg daaac bbbb aac bbbb bbbb bbb dg ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5e661ff b,#f991f0ff c,#d8f1acff d,#fbc5f7ff e,#eaf7d4ff f,#c6e988ff g,#d9b9adff ``` ```image bbbbbbbd dbbbbbbb bbbbbbbd dbbbbbbb bbbbbbbd caaae dbbbbbbb caaaaae bbbbbbbd aaaaaaf dbbbbbbb caaaaaaae bbbbbbbd aaaaaaaac dbbbbbbb caaaaaaaaa bbbbbbbd eaaaaaaaaaae dbbbbbbbd faaaaaaaaaaf bbbbbbbb eaaaaaaaaaaaae dbbbbbbbd faaaaaaaaaaaac bbbbbbbb eaaaaaaaaaaaaaa bbbbbbbd faaaaaaaaaaaaaae dbbbbbbb eaaaaaaacfaaaaaaf bbbbbbbd faaaaaaa eaaaaaaadbbbbbbb eaaaaaaac aaaaaaagbbbbbbd aaaaaaaa caaaaaafbbbbbb caaaaaaac eaaaaaaabbbbbd aaaaaaaf faaaaaagbbbb caaaaaaae caaaaaaabbbd aaaaaaaf aaaaaaagbb caaaaaaae faaaaaafbd aaaaaaaf eaaaaaaabd caaaaaaae aaaaaaag eaaaaaaaf dgaaaaaaf faaaaaaae bbaaaaaaf eaaaaaaaf bbaaaaaaa faaaaaaae dbbaaaaaaa aaaaaaac bbbfaaaaaae aaaaaaa dbbbgaaaaaae aaaaaac bbbbgaaaaaac aaaaaa dbbbbgaaaaaaf aaaaac bbbbbbaaaaaaf aaaaa dbbbbbbaaaaaaa aaaac bbbbbbbaaaaaaa aaaa dbbbbbbbfaaaaaae aaae bbbbbbbdcaaaaaae aaf dbbbbbbbdcaaaaaac aae bbbbbbbb eaaaaaaf af dbbbbbbbd eaaaaaaf ae bbbbbbbb aaaaaaa f bbbbbbbd aaaaaaa e dbbbbbbb faaaaaae bbbbbbbd caaaaaae dbbbbbbb caaaaaac bbbbbbbd eaaaaaaf dbbbbbbb eaaaaaaf bbbbbbbd aaaaaaa dbbbbbbb aaaaaaa bbbbbbbd faaaaaae dbbbbbbb caaaaaae ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Okay, let's direct our attention to the next zone. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#b5e562ff b,#f990f0ff c,#e8f7cfff d,#fddffaff e,#e0aebdff f,#cce993ff g,#fbb8f5ff ``` ```image d bbd bbbbd c bbbbbbg fac bbbbbbbbg faaaf bbbbbbbbbbg caaaaaac bbbbbbbbbbbbg aaaaaaaac bbbbbbbbbbbbbbg faaaaaaaa dgbbbbbbbbbbbbbbgd faaaaaaaac dgbbbbbbbbbbbbbbgd caaaaaaaac dgbbbbbbbbbbbbbbgd aaaaaaaaf dgbbbbbbbbbbbbbbgd faaaaaaaf dgbbbbbbbbbbbbbbfaaaaaaaac dgbbbbbbbbbbbeaaaaaaaac gbbbbbbbbbaaaaaaaaf gbbbbbbaaaaaaaaf gbbbfaaaaaaaa geaaaaaaaac caaaaaaaaf aaaaaaaaf faaaaaaaag caaaaaaaaeb caaaaaaaaebbd aaaaaaaafbbbd faaaaaaaabbbbg faaaaaaaaebbbbg caaaaaaaaebbbbbb aaaaaaaafbbbbbbb faaaaaaaa gbbbbbbd faaaaaaaac gbbbbbbd caaaaaaaac dbbbbbbg aaaaaaaaf dbbbbbbg faaaaaaaf bbbbbbb faaaaaaaa bbbbbbb caaaaaaaac gbbbbbbd caaaaaaaaf gbbbbbbg aaaaaaaaf dbbbbbbg faaaaaaaa dbbbbbbb caaaaaaaac bbbbbbb caaaaaaaaf bbbbbbbd aaaaaaaaf gbbbbbbd faaaaaaaa gbbbbbbg caaaaaaaac dbbbbbbg caaaaaaaac bbbbbbb aaaaaaaaf bbbbbbb aaaaaaaa gbbbbbbd ``` <!-- end of image --> My investigation has led me to 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b5e661ff b,#f990f0ff c,#dcf0b5ff d,#fcd4f9ff e,#edf8dbff f,#c8ea8bff g,#faaff2ff ``` ```image dd gbbbg bbbbbbg gbbbbbbbbg bbbbbbbbbbbb dbbb bbbbbbbb bbbb bbbbbbbb dbbbd gbbbbbbb bbbb gbbbbbbb dbbbd gbbbbbbbd bbbb gbbbbbbbd bbbd gbbbbbbbd bbbb dbbbbbbbd bbbg dbbbbbbbd a bbbb dbbbbbbbd aaae bbbg dbbbbbbbg faaaf gbbb dbbbbbbbg eaaaa bbbb dbbbbbbbg aaaa gbbb bbbbbbaaaae aa bbbb bbbaaaaf aaaf dbbb caaaa eaaaa bbbb aaaa aaaaac dbbbd aaaag eaaaaaa bbbb aaaafbd aaaaaaa dbbbd caaaabbg eaaacaaafbbbb eaaaabbbb aaaa aaaabbbd aaaaegbbb caaac eaaabbb aaaaf dbbb aaaa aaaabg faaaa bbb caaae faaab eaaaa bbbd aaaa aaac aaaae bbbg faaae gaaaf aaaac gbbb aaaa baaaa faaaa dbbb faaa gbfaaa eaaaa bbb aaaa bbgaaa aaaa bbbd faaa dbbbaaa aaaac bbbg aaaa bbbbaaae faaaf bbbb aaaa dbbbdaaac eaaaa gbbb aaaf bbbb aaaf aaaa dbbb aaaa dbbbd aaaa aaaae bbb eaaaf bbbb faaa faaaf bbbd aaaa bbbd eaaa caaaa bbbg eaaac bbbb aaa aaaa bbbb aaaa bbbg aaae aaaae gbbb caaac bbbb aaac aaaaf dbbb aaaa bbbg aaaf caaaa bbb caaac gbbb aaaa eaaaa bbbd aaaa bbbb faaa aaaae gd caaae gbbb eaaa aaaac aaaa bbbb aaa faaaa faaae dbbb aaae eaaaa aaaa bbbb aaac aaaa faaa dbbbd aaaf aaaac aaaa bbbb aaaa faaaa aaaa dbbbd faaa eaaaa aaaf bbbb caaa aaaa aaaa bbbd aaa aaaac aaaf bbbb aaae faaaf aaaa bbbg aaac caaaa eaaaf bbbb aaaf aaaa aaaa bbbg aaaa aaaae eaaac gbbb faaa aaaaf faa bbbb caaa caaaa e gbbb aaa aaaa bbbb aaae aaaae dbbb aaac aaaaf bbbb aaaf caaaa gbbbd aaaa eaaaa bbbb faaa aaaae bbbb caaa aaaac dbbbg aaa faaaa bbbb aaaeeaaaa gbbbd aaacaaaa bbbb aaaaaaac bbbb aaaaaaa dbbbg faaaaa bbbb caaaa gbbbd aaac bbbb aaf bbbb bbbb bbb dg ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#a1d31eff b,#f06ee5ff c,#f1f1edff d,#98cb94ff e,#b1d7b0ff f,#e9a3e3ff g,#b2da65ff ``` ```image f b cb fb bf bc ddddddddddddddddddddc b eeeeeeeeeeeeeeeeeeeec fb eeeeeeeeeeeeeeeeeeeec bb eeeeeeeeeeeeeeeeeeeec bf eeeeeeeeeeeeeeeeeeeec b eeeeeeeeedaeeeeeeeeec cb eeeeeeeeeaaaeeeeeeeec fb eeebfeeeeaggadeeeeeec bf eeefbeeeeaeegageeeeec bc eeeebbeedaeeedageeeec b eeeeebeeaaeeeeeaaeeec cb eeeeefbeageeeeeeaaeec fb eeeeeebfaeeeeeeeeaaec bf eeeeeeebaeeeeeeeeeaac b eeeeeeebbeeeeeeeeeeaac b eeeeeeeabfeeeeeeeeeegac fb eeeeeeeafbeeeeeeeeeecgae bb eeeeeegaebbeeeeeeeeec eag bf eeeeeeaaeebeeeeeeeeec cag b eeeeeeageefbeeeeeeeec caa cb eeeeeeaeeeebfeeeeeeec aa fb eeeeegaeeeeebeeeeeeec aa bf eeeeeaaeeeeebbeeeeeec aac bc eeeeeadeeeeeebfeeeeec aac b eeeeeaeeeeeeefbeeeeec gae cb eeeegaeeeeeeeebbeeeec eag fb eeeeaaeeeeeeeeebeeeec cag bf eeeeadeeeeeeeeefbeeec caa b eeeeaeeeeeeeeeeebbedc aa b cccgaccccccccccccbbc aa fb ag bb aa bf ac bb aa bc bbc aa b fbf aa cb fbf aa fb cbb aa bf bb aa bc bb aa b bb aac fb bbc gac bb fbc gac bf fbf gac b cbf gac cb bb gac fb bb eae bf bb eae ccccccccccccccbccccccccc bb eaecdeeeeeeeeeeeeebeeeeeeeed fbc cageeeeeeeeeeeeeebeeeeeeeed fbf cageeeeeeeeeeeefbeeeeeeeed cbf cageeeeeeeeeeebfeeeeeeeed cbb cdaaeeeeeeeeeebeeeeeeeeed bb ceeaaeeeeeeeeebeeeeeeeeed bb ceeeaaeeeeeeefbeeeeeeeeed bb ceeeeaaeeeeeebbeeeeeeeeed bbc ceeeeeaaeeeeebfeeeeeeeeed fbc ceeeeeeaaeeeebeeeeeeeeeed fbf ceeeeeeeaaeeebeeeeeeeeeed cbb ceeeeeeeeaaefbeeeeeeeeeed bb ceeeeeeeeeaabfeeeeeeeeeed bb ceeeeeeeeeeabeeeeeeeeeeed bbbcceeeeeeeeeeebaeeeeeeeeeed cbbbbfeeeeeeeeebaaeeeeeeeeed cfbbbfeeeeebbeaaeeeeeeeed ceeefbbbbeebfeeaaeeeeeeed ceeeeeeebbbbeeeeaaeeeeeed ceeeeeeeeeefeeeeeaaeeeeed ceeeeeeeeeeeeeeeeeaaeeeed ceeeeeeeeeeeeeeeeeegadeed ceeeeeeeeeeeeeeeeeeegaded ceeeeeeeeeeeeeeeeeeeegadd ceeeeeeeeeeeeeeeeeeeeegag ceeeeeeeeeeeeeeeeeeeeeegae ceeeeeeeeeeeeeeeeeeeeeeegag ceeeeeeeeeeeeeeeeeeeeeeedcae cddddddddddddddddddddddde 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,#a1d31bff b,#f06ee5ff c,#facef6ff d,#e6f3c4ff e,#cee68bff f,#f59aedff g,#b6da50ff ``` ```image de daag eaaag gaaaagd ff aaggaaad fbbc daae gaaad bbb eaad eaaad cbbf gaa eaaae bbbc aag eaaae cbbb daae daaag fbbf eaad daaag bbbc gaa daaag cbbf aag gaaad fbbc daae gaaad bbb eaad gaaad cbbfgaa eaaae bbbgag eaaa cbbbae daa fbbed da bbbc d gbbf dabbbc eaabbb gagcbbf aae bbbc daad cbbb eaa fbbf aag bbbc daae cbbf eaad fbbc gaa bbb aag cbbf daae fbbc eaad cbbb gaa fbbf aag bbbc daae cbbf eaad fbbc gaa bbb aag cbbf daae fbbc eaad cbbb gaa fbbf aag bbbc daae cbbf eaad fbbc gaa bbb aag cbbb ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Let's inspect the next region. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#a1d31bff b,#f06de5ff c,#f9d0f5ff d,#eaf5ceff e,#cbe184ff f,#f59eeeff g,#b4db4aff ``` ```image cbbc fbb bbb bbf cbbc e fbbc ae fbb aae bbf aaag cbbf daaag cbbc dgaag fbb dgaag fbb gaag bbf gaag cbbc gaagd cbbc gaagd fbb gaagd bbb gaaad bbf gaaad cbbc eaaad fbbc eaaad fbb eaaad bbf eaaad cbbf eaaad cbbc eaaad fbb eaaae bbb eaaaebbf daagbbc daebbc dbbbe bbbae c bbeaae bbffc cbbcaaae bbbbbbfc fbb daaag cfbbbbbbbfc fbb daaag cfbbbbbbbffc bbf daaag ccfbbbbbbbfc cbbf dgaag cfbbbbbbbffbbc dgaag cfbbbbbbbb gaag ccfbbbf gaag cfc gaagd gaagd gaaad gaaad gaaad eaaad eaaad eaaad eaaad eaaa eaa ea e ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a1d31cff b,#f16ee6ff c,#fad0f6ff d,#e7f3c7ff e,#d1e992ff f,#f59eeeff g,#b6dc4fff ``` ```image f b cb fb bf bc b cb bb bc b da b gaad fb bc aegad bf cb a eae bc bb da dag b bc ga dag cb fb ae aa fb bfa aa bf cba aa b bb aa b abc gad cb acb eae bb ea bb eae bc ag bc dag b ad fb aa cb a bf aa fb ea cb aa bf ag bb aa bc ad bc gad b a cb gad cb ea bb eae fb ag bc dag bf ad fb dag b a bb aa b ea bb aa fb ag bb aa bf ad bb aa bc fbc aa b fbc aa cb cbf aa fb cbb aa bf bb aa bc bb aa b bb ga cb bb ga bb fbc gad bc cbf gad b cbf gad b bb ead fb bb ead bf bb eae bc bb dae b fbc dae cb fbc dag fb cbf dag bf bb dag b bb ag b bb ag cb bb aa bb bbc aa bc fbc aa b cbf aa cb cbf aa fb bb aabf bb abc bbbc ba cbbbbf cbaa fbbbf fb aa cbbbbc bf ga cbbbb ga f ga gad gad ead ead eae eae dae dad d ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#4f4514ff b,#c7a357ff c,#b97403ff d,#dfd7c3ff e,#79784fff f,#b1d7b1ff g,#9dbd91ff ``` ```image ag aad daa gaa eaa aaa aae aae aag aad daa gaa eaa aaa gd aae aa aae faa aag aaa aad aaa daa aaa gaa gaaad eaa aagaf aaa aafag aae daedae aae ead ae aag aa aa aad aa aa daa gag aa gaa aa aa eaa aa aa eaa aa aa aae eaf aa aae aa aa aag aa aa aad dae aa daa ead ea gaa aa ead eaa aa gad db eaa gag gag cccb aaa aa fag cccccb aae aa dae cc bcccb aag dae dae cc bcccb aad ead ae cc bcccb daad aa aa cc bcccb gaafffffffffffffffffffffffffffffaaffffg aa cc bcccb eaafffffffffffffffffffffffffffgaefffff aa cc bcccd gaaaffffffffffffffffffffffffffaagfffff aa cc ccccd gfaaafffffffffffffffffffffffffaaffffff aa cc ccccd gffaaeffffffffffffffffffffffffaaffffff aa cc ccccd gfffaaeffffffffffffffffffffffeaeffffff aa cc ccccd gffffaagfffffffffffffffffffffaafffffff aa cc ccccgffffgaagffffffffffffffffffffaafffffff aa cc ccccgfffgaafffffffffffffffffffgaefffffff aa cc dccccfffeaaffffffffffffffffffeagfffffff ea cc ggccccffaaafffffffffffffffffaaffffffff ead cc gffgccccfaaaffffffffffffffffaaffffffff gaf cc gffffgccccaaeffffffffffffffeaeffffffff gag cc gffffffgccccaefffffffffffffaafffffffff fag cc gffffffffbccccgffffffffffffaafffffffff dae cc gffffffffffbccccfffffffffffaafffffffff cc gffffffffffffeccccffffffffeagfffffffff cc gfffffffffffffeccccbffffffaaffffffffff cc gffffffffffffffaaccccbffffaaffffffffff cc gfffffffffffffffaaabcccbfgaeffffffffff cc gffffffffffffffffaaefbccccagffffffffff cc gfffffffffffffffffaaeffbcccbffffffffff cc gffffffffffffffffffaagfffccccbffffffff cc gffffffffffffffffffgaagfeaeccccbffffff cc gfffffffffffffffffffgaafaafffccccbffff cc gffffffffffffffffffffeaaaafffffccccgff cc gfffffffffffffffffffffaaaafffffffccccg cc cc gffffffffffffffffffffffaagfffffffffccccd dcccb cc gfffffffffffffffffffffffgffffffffffffccccd ccdccc cc gfffffffffffffffffffffffffffffffffffffdcccc cc cccbcc gfffffffffffffffffffffffffffffffffffff dccb bcb dcccc gfffffffffffffffffffffffffffffffffffff d cc ccc gfffffffffffffffffffffffffffffffffffff cc gfffffffffffffffffffffffffffffffffffff bcd fggggggggggggggggggggggggggggggggggggg cc dcc dd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4f4513ff b,#cc9b4bff c,#b97403ff d,#e7e1d4ff e,#9c977bff f,#726a43ff g,#d1c1a2ff ``` ```image aafd daaaf aaaf eaaae aaaaf faaad eaaaae daaaa eaaaae gaaae faaaag eaaag faaaad aaaad daaaaad daaaf daaaafd eaaae gaaaaf faaag gaaaaf aaaa eaaaae gaaaf eaaaae eaaag faaaag faaad faaaag daaaf daaaaad gaaae bd daaaafd eaaag ccbd gaaaaf aaaa ccccbd gaaaaf daaaf ccccccbd eaaaae eaaae bcccccccbd eaaaae faaad dbcccccccb faaaag aaaa dbcccccccg faaaag gaaaf dbcccccccg daaaaad eaaag dbcccccccg daaaafd faaad dbcccccccggaaaaf daaaf dbcccccccbaaaaf gaaae gbcccccccaaaae faaag gbcccccccaaae aaaa gccccccccaag daaaf gccccccccag eaaae gccccccccg faaad gcccccccbd daaaa gcccccccbd gaaae bcccccccbd eaaag eacccccccbd aaaad eaccccccccbd daaaf faaccccccccbd eaaae faaaccccccccbd faaag dfaaaabcccccccbd aaaa daaaaadbcccccccbd gaaaf gaaaaf dbcccccccbdeaaae gaaaaf dbccccccccaaad eaaaae dbccccccccf eaaaae dbcccccccg faaaag dbcccccccg faaaag accccccccg dfaaaad daaaccccccccg daaaaad eaaaegbcccccccg gaaaaf faaad gbcccccccg gaaaaf aaaa gccccccccg eaaaaegaaaf gcccccccbg eaaaaaaaag gcccccccbg faaaaaaad gcccccccbd faaaaaf gcccccccb dfaaaae gcccccc daaaag gcccc daaf gcc d b ``` <!-- end of image --> Aha! I've found 2 intersections inside area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4e4412ff b,#ce9f51ff c,#b97402ff d,#dfd7c5ff e,#8b8564ff f,#696034ff g,#bcb195ff ``` ```image ag aad daa gaa eaa faa aaf aae aag aad daa gaa eaa faa gd aaf aa aae gaa aag faa aad aaa daa aaa gaa eaaad eaa aaeag faa aagag aaf dafdae aae fad af aag aa aa aad aa aa daa gae aa gaa aa aa eaa aa aa faa af aa aaf eag aa aae aa aa aag aa aa aad dae fa daa fad fa gaa aa ead eaa aa ead db faa gag gag cccb aaf aa gag cccccb aae aa dae cc bcccb aag daf dae cc bcccb aad ead af cc bcccb daa aa aa cc bcccg gaa aa aa cc bcccg eaa gae aa cc bcccg faa fa aa cc ccccd aaf aa aa cc ccccd aae aa aa cc ccccd aag eag aa cc ccccd aad aa aa cc ccccd daa aa aa cc ccccd gaa daf fa cc dcccc eaa fad fa cc dcccc faa aa ead cc dcccc aaf aa eag cc dccccaae gae gag cc dccccag aa dae cc dccccd aa dae cc gcccb af cc bcccb eag cc efcccb aa cc faccccb aa cc aafbcccb dae cc aae bccccad cc aag bcccg cc aad ccccg cc daad gagbcccg cc gaa aa ccccd cc eaaaa ccccd cc faaf ccccd cc cc aad ccccd gcccb cc d ccccd ccgccc cc cccc cc cccbcc dccb bcg dcccc d cc ccc cc bcd cc dcc gd ``` <!-- end of image -->
[ "" ]
I'm examining this image closely. My goal: find any and all intersections. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#7dfad1ff b,#81bca5ff c,#c8efe2ff d,#b1d8b2ff e,#95ca96ff f,#eef7f0ff g,#a5d1a9ff ``` ```image cf bbb bbbc bbbb bbbb bbbb bf bbbbc bbbc bbbbb bbbbc bbbbb bbbbc bbbbb bbbbd bbbbbc bbbbd bbbbbg bbbbg fbbbbbb bbbbb fbbbbbb gbbbb fbbbbbbbbbbb cbbbbbbbbbb cbbbcbbbbb cbbb bbbb dbbb bbb dbbb f dbbg gbbg gbbd bbbd bbbd bbbc bbbc bbbc bbbc bbbf bbbf bbbf f bbb aaa bbb aaaaf fbbb aaaaaa fbbbbb faaaaaaac fbbbbbbb eeeeeeeeeeeeeeeeeeeeeeeeeaaaagaaaaeeeeeeeeeeeeeeeeeeeeeeeeffbbbbbbbf ddddddddddddddddddddddddaaaadddaaaaddddddddddddddddddddddgbbbbbbbf dddddddddddddddddddddddaaaaddddaaaadddddddddddddddddddddbbbbbbbf ddddddddddddddddddddddaaaaddddddaaaaddddddddddddddddddbbbbbbbf dddddddddddddddddddddaaaadddddddaaaaddddddddddddddddbbbbbbbf ddddddddddddddddddddaaaadddddddddaaaadddddddddddddbbbbbbbgf dddddddddddddddddddaaaadddddddddddaaaddddddddddgbbbbbbbgdgf ddddddddddddddddddaaaaddddddddddddaaaadddddddgbbbbbbbgdddgf dddddddddddddddddaaaaddddddddddddddaaadddddgbbbbbbbgdddddgf dddddddddddddddaaaaadddddddddddddddaaaaddgbbbbbbbgddddaddgf ddddddddddddddaaaaadddddddddddddddddaaagbbbbbbbgdddddaaadgf dddddddddddddaaaaaddddddddddddddddddaaaabbbbbdddddddaaaaagf ddddddddddddaaaaaddddddddddddddddddgbaaaabbddddddddaaaaaaaf dddddddddddaaaaadddddddddddddddddgbbbaaaagdddddddddaaaaaaaa ddddddddddaaaaaddddddddddddddddgbbbbbbaaaaddddddddaaaadaaaaa dddddddddaaaaadddddddddddddddgbbbbbbbddaaadddddddaaaadddaaaac ddddddddaaaaaddddddddddddddgbbbbbbbddddaaaadddddaaaadddddaaaaf dddddddaaaaadddddddddddddgbbbbbbbdddddddaaadddddaaaadddddgaaaa ddddddaaaaaddddddddddddgbbbbbbbdddddddddaaaadddaaaaddddddgfaaaa dddddaaaaadddddddddddgbbbbbbbddddddddddddaaaddaaaadddddddgffaaaa ddddaaaaaddddddddddgbbbbbbbddddddddddddddaaaadaaaadddddddgf caaaa dddaaaaadddddddddgbbbbbbbdddddddddddddddddaaaaaaaddddddddgf aaaaa dddaaaaddddddddgbbbbbbbdddddddddddddddddddaaaaaadddddddddgf aaaac dddaaadddddddgbbbbbbbddddddddddddddddddddddaaaaadddddddddgf aaaac dddaaadddddgbbbbbbbddddddddddddddddddddddddaaaaddddddddddgf aaaaf dddaaadddgbbbbbbbdddddddddddddddddddddddddddaadddddddddddgf aaaa ddaaaadgbbbbbbbddddddddddddddddddddddddddddddddddddddddddgf faaaa ddaaaabbbbbbbddddddddddddddddddddddddddddddddddddddddddddgf caaaa ddaaaabbbbbddddddddddddddddddddddddddddddddddddddddddddddgf caaaa dgaaabbbbddddddddddddddddddddddddddddddddddddddddddddddddgf aaaaa ddaaabbddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaac ddaaaddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaaf ddaaaddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf faaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf caaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaac dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaac dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaaf dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf aaaa dddddddddddddddddddddddddddddddddddddddddddddddddddddddddgf faaaa ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggf caaaa ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff caaaa aaa a ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#7cfbd2ff b,#81bca5ff c,#c2fce9ff d,#9bcdbaff e,#99fcdbff f,#e4f8f1ff g,#b5d8caff ``` ```image eaaaaaaac aaaaaac faaaaaaaf caaaaaa faaaaaaaf eaaaaac faaaaaaaaf aaaaaa gbb faaaaaaaaf aaaaaaf fgbbb faaaaaaaaf eaaaaae fgbbbbb aaaaaaaaf faaaaaaf fgbbbbbbb faaaaaaaf caaaaae fbbbbbbbbb faaaaaaaf aaaaaac fgbbbbbbbbbb caaaaaaaef eaaaaac gbbbbbbbbbbbgf caaaaaaaef caaaaaa fgbbbbbbbbbbbg caaaaaaae eaaaaac fgbbbbbbbbbbbgf aaaaaaae faaaaaaf fgbbbbbbbbbbbgf caaaaaae eaaaaae fbbbbbbbbbbbbf caaaaaaa faaaaaa fgbbbbbbbbbbbgf caaaaaaae aaaaaac gbbbbbbbbbbbgf ceec caaaaaaae caaaaae fgbbbbbbbbbbbg caaaa caaaaaaae aaaaaacgbbbbbbbbbbbgf faaaaae aaaaaaae caaaaaabbbbbbbbbbgf eaaaaaae eaaaaaae eaaaaadbbbbbbbbf aaaaaaaac eaaaaaaa caaaaaabbbbbbgf faaaaaaaaa eaaaaaaac fbbbbaaaaaabgf eaaaaaaaaaa eaaaaaaac fdbbbbbaaaaaaa caaaaaaeaaaa eaaaaaaac fdbbbbbbbbaaaaaa faaaaaae eaaa aaaaaaac dbbbbbbbbbbaaaaaa eaaaaaaf aaa eaaaaaac fdbbbbbbbbbbbgaaaaac caaaaaac aaa eaaaaaaa fdbbbbbbbbbbbgf aaaaaa faaaaaae faa eaaaaaaac fbbbbbbbbbbbbf caaaaaa aaaaaac c eaaaaaaac fdbbbbbbbbbbbgf eaaaaac faaaaaa faaaaaaac fdbbbbbbbbbbbgf faaaaaaf aaaaaae faaaaaaaf dbbbbbbbbbbbgf eaaaaae eaaaaaaf faaaaaaaf fdbbbbbbbbbbbg faaaaaaf caaaaaac faaaaaaaa fdbbbbbbbbbbbgf eaaaaae faaaaaae faaaaaaaaf fbbbbbbbbbbbb caaaaae caaaaaac aaaaaaaaf fdbbbbbbbbbbbg aaaaaafaaaaaae faaaaaaaf fdbbbbbbbbbbbg aaaaaaeaaaaaa faaaaaaaf dbbbbbbbbbbbg eaaaaaaaaaaaf eaaaaaaa fdbbbbbbbbbbbg caaaaaaaaaaa eaaaaaaf fdbbbbbbbbbbbg eaaaaaaaaae aaaaac fbbbbbbbbbbbb eaaaaaaac aaaaac fdbbbbbbbbbbbg faaaaaae faaaaac fdbbbbbbbbbbbg caaaaaf faaaaaf dbbbbbbbbbbbg eaaac caaaaaf fdbbbbbbbbbbbg feef caaaaa fdbbbbbbbbbbbg caaaaa fdbbbbbbbbbbb eaaaaadbbbbbbbbbbbg eaaaaabbbbbbbbbbg eaaaaabbbbbbbbg aaaaaabbbbbbbg fdaaaaadbbbbbg gaaaaabbbg caaaaadg caaaaaf caaaaa caaaaa ceeeaa ``` <!-- end of image --> There is 2 intersections point visible in this close-up of area A. Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7cfbd2ff b,#81bca5ff c,#c9fcecff d,#a6cfbfff e,#9efcddff f,#e9f8f3ff g,#d3e7dfff ``` ```image gf bbb bbbg bbbb bbbb bbbb bf bbbbg bbbg bbbbb bbbbg bbbbb bbbbg bbbbb bbbbd bbbbbg bbbbd bbbbbd bbbbd fbbbbbb bbbbb fbbbbbb dbbbb gbbbbbbbbbbb gbbbbbbbbbb gbbbgbbbbb gbbb bbbb dbbb bbb dbbb f dbbd dbbd dbbd bbbd bbbd bbbg bbbg bbbg bbbg bbbf bbbf bbb f bbb aaa bbb aaaaf fbbb aaaaaa fbbbbb faaaaaaac fbbbbbbb faaaacaaaa fbbbbbbbf faaaac aaae fbbbbbbbf faaaaf eaaa fbbbbbbbf faaaaf aaae fbbbbbbbf faaaaf caaa fbbbbbbbf caaaaf aaaa fbbbbbbbf caaaaf caaaf fbbbbbbbf caaaaf aaaa fbbbbbbbf caaaa faaaf fbbbbbbbf caaaa aaaa fbbbbbbbf ce eaaaa aaacbbbbbbbf faaa eaaaa eaaabbbbbf aaaaa eaaaa fbaaaabbf aaaaaaa eaaaa fbbbaaaaf caaaaaaaa eaaaa fbbbbbbaaae aaaa eaaae eaaaa fbbbbbbbfcaaa aaaa aaaac eaaaa fbbbbbbbf aaaa eaaac aaaaf aaaaa fbbbbbbbf caaaf faaaa aaaa aaaaa gbbbbbbbf aaaa aaaa aaaa aaaaa gbbbbbbbf faaac eaaaf faaaa aaaaa gbbbbbbbf aaaafaaae caaaa aaaaa gbbbbbbbf aaaaaaa eaaae aaaa gbbbbbbbf eaaaaa aaaae aaa gbbbbbbb aaaac aaaac faaa gbbbbbbb eaaa aaaaf caaa gbbbbbbb ee aaaa caaa gbbbbbbb faaaa eaaabbbbbbb caaaa eaaabbbbb eaaaa faaabbbb eaaae aaabb aaaac aaaf aaaaf aaa aaaa aaaa faaaa caaaa eaaae aaaae aaaac aaaaf aaaa faaaa caaaa eaaaa eaa e ``` <!-- end of image -->
[ "" ]
I have a feeling there might be some intersections in this image. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#23b160ff b,#1b56b6ff c,#b0d7b1ff d,#e9f3efff e,#6792c1ff f,#91c99cff g,#56c080ff ``` ```image cf caaa aaaad gaaaaa aaaaaad gaaaaaaa daaagfaaad aaaa aaaa daaaf faaad aaaa aaaa caaac faaad aaaa aaaa faaad faaad aaaa aaaa gaaad faaad aaag aaaa aaaa caaac daaag aaaa aaaa caaaa ffffffffffffffgaaagc gaaag ccccccccccccccaaaacf aaaac cccccccccccccgaaafcf aaaad cccccccccccccaaaaccf daaaa ccccccccccccgaaacccf faaaa ccccccccccccaaaacccf aaaagffffffffffffffffffffff ccccbccccccaaaaccccf aaaafcccccccccccccccccccccd cfbbbccccccaaagccccf daaaacccccccccccccccccccccd ccbbbeccccaaaacccccf caaaacccccccccccccccccccccd ccbbbbcccfaaagcccccf gaaagccccccccccccccccccbbbb cccbbbeccaaaaccccccf daaaafccccccccccccccccbbbbbbd cccbbbbcgaaafccccccf dcaaaacccccccccccccccbbbbbbbbb cccebbbcaaaacccccccf dcfaaaacccccccccccccbbbbbbbbbbbd ccccbbbbaaaccccccccf dccgaaaacccccccccccbbbbbd dbbbbbb ccccebbbaaaccccccccf dcccaaaagccccccccfbbbbbcd bbbbbbd cccccbbbbacccccccccf dccccaaaacccccccfbbbbeccd cbbbbbb cccccbbbbgcccccccccf dccccfaaaacccccebbbbecccd bbbbbb cccccabbbecccccccccf dcccccgaaaacccebbbbeccccd cbbbbb ccccfabbbbcccccccccf dccccccaaaagcebbbbfcccccd bbbbbd ccccaaabbbfccccccccf dcccccccaaaabbbbbfccccccd bbbbbc cccgaaabbbbccccccccf dccccccccaabbbbbfcccccccd ebbbbe cccaaaaebbbccccccccf dccccccccfbbbbbcccccccccd ebbbbe ccgaaafcbbbbcccccccf dccccccccbbbbbacccccccccd cbbbbb ccaaaaccbbbbcccccccf dcccccccbbbbbaafccccccccd dbbbbb cfaaaccccbbbeccccccf dccccccbbbbbaaaaccccccccd bbbd cccgaccccbbbbccccccf dcccccbbbbbcfaaaacccccccd bd cccccccccfbbbfcccccf dccccbbbbbcccgaaaaccccccd ccccccccccbbbbcccccf dccfbbbbbcccccaaaagcccccd ccccccccccebbbcccccf dcfbbbbbcccccccaaaafccccd cccccccccccbbbbccccf debbbbecccccccccaaaaccccd cccccccccccebbbccccf ebbbbeccccccccccgaaaacccd ccccccccccccbbbecccf ebbbbeccccccccccccaaaagccd ccccccccccccbbbbcccf ebbbbfccccccccccccccaaaafcd ccccccccccccfbbbeccf ebbbbfccccccccccccccccaaaacd dddddddddddddbbbbdd bbbbbfcccccccccccccccccfaaaad cbbbd bbbbbdcccccccccccccccccccgaaag bbbb bbbbb dccccccccccccccccccccaaaac ebbb bbbbb dcccccccccccccccccccccaaaad bbbe bbbbb dfccccccccccccccccccccfaaaa ebbb bbbbb ddddddddddddddddddddddfaaaa bbbe dbbbbb aaaaf bbbb dbbbbb aaaad dbbbd dbbbbe daaaa bbbb cbbbbe caaaa ebbb ebbbbe gaaag bbbb ebbbbc aaaac ebbb ebbbbc aaaa bbbbbbbbd daaaa bbbbbbbd gaaag dbbbbbd aaaaf bbbb aaaad dbb daaaa faaaa aaaag aaaad aaaa caaaa gaaag aaaac aaaad daaaa faaaa aaad a ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#23b061ff b,#1b56b5ff c,#9ddcb8ff d,#d3e6e8ff e,#5b87c9ff f,#9bb4deff g,#5ac488ff ``` ```image gaaaaaaa caaaaaaac aaaaaaag caaaaaaac aaaaaaag caaaaaaad daaaaaaag gaaaaaaad daaaaaaac gaaaaaaa caaaaaaac gaaaaaaa caaaaaaac dfe aaaaaaag debbbf caaaaaaad debbbbbe daaaaaaag dbbbbbbbd gaaaaaaad ebbbbbbe daaaaaaag fbbbbbbb gaaaaaaad bbbbbbbf daaaaaaac fbbbbbbb gaaaaaaa dbbbbbbbf caaaaaaac ebbbbbbe aaaaaaag dbbbbbbbd caaaaaaad ebbbbbbe daaaaaaag fbbbbbbbdgaaaaaaad bbbbbbbeaaaaaaag fbbbbbbbaaaaaaad bbbbbbbaaaaaac ebbbbbbbaaaaa dbbbbbbbaaaac ebbbbbbbaag dbbbbbbbaac bbbbbbbbg ebbbbbbbd dabbbbbbbf gabbbbbbbb daaabbbbbbbf gaaabbbbbbbe caaaaabbbbbbbd aaaaaabbbbbbbe caaaaaaabbbbbbbd aaaaaaagbbbbbbbf caaaaaaadfbbbbbbb daaaaaaag dbbbbbbbf gaaaaaaad ebbbbbbe daaaaaaac dbbbbbbbd gaaaaaaa ebbbbbbe caaaaaaac fbbbbbbbd caaaaaaa bbbbbbbf caaaac fbbbbbbb dgag bbbbbbbf dd ebbbbbbb dbbbbbbbd ebbbbbbe dbbbbbbbd ebbbbbbe fbbbbbbb bbbbbbbf fbbbbbbb dbbbbbbbf ebbbbbbe dbbbbbbbd ebbbbbbe fbbbbbbbd bbbbbbbf fbbbbbbb bbbbbbbf ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. I'm ready to analyze the next area. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#23b160ff b,#1a55b5ff c,#a0ddbbff d,#d6e9e9ff e,#517fc6ff f,#9cb5dfff g,#5cc589ff ``` ```image ag aag aaac aaaad aaaag aaaaag aaaaaac aaaaaaad aaaaaaaad gaaaaaaag f daaaaaaaac fb caaaaaaaac fbb caaaaaaaad ebbb gaaaaaaag ebbbb daaaaaaaag ebbbbb daaaaaaaac ebbbbbb caaaaaaaad debbbbbbb gaaaaaaaa debbbbbbbb gaaaaaaag dbbbbbbbbbe daaaaaaaac dbbbbbbbbbe caaaaaaaad dbbbbbbbbbe gaaaaaaaad fbbbbbbbbbe gaaaaaaag fbbbbbbbbbe daaaaaaaac fbbbbbbbbbf daaaaaaaac fbbbbbbbbbf caaaaaaaad fbbbbbbbbbf gaaaaaaag ebbbbbbbbbf aaaaaaaag ebbbbbbbbbf daaaaaaaac ebbbbbbbbbd caaaaaaaaebbbbbbbbbd gaaaaaabbbbbbbbbbd gaaaabbbbbbbbbed daaabbbbbbbbbed cabbbbbbbbbe dbbbbbbbbbe fbbbbbbbbbbg fbbbbbbbbbbaag fbbbbbbbbbbaaaac fbbbbbbbbbaaaaaaad fbbbbbbbbbeaaaaaaag ebbbbbbbbbf aaaaaaaag ebbbbbbbbbf daaaaaaaac ebbbbbbbbbd caaaaaaaad ebbbbbbbbbd gaaaaaaaad debbbbbbbbbd gaaaaaaag dbbbbbbbbbed daaaaaaaac dbbbbbbbbbed caaaaaaaac dbbbbbbbbbe caaaaaaaad dbbbbbbbbbe gaaaaaaag fbbbbbbbbbe daaaaaaaag fbbbbbbbbbe daaaaaaaac fbbbbbbbbbf caaaaaaaad bbbbbbbbbf gaaaaaaaa bbbbbbbbf gaaaaaaag bbbbbbbf daaaaaaaac bbbbbbf caaaaaaaad bbbbbd gaaaaaaaad bbbbd gaaaaaaag bbbd daaaaaaaa bed daaaaaaa ed caaaaaa gaaaaa aaaaa daaaa caaa gaa ga da ``` <!-- end of image --> 1 intersection present within area B. Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#23b160ff b,#1a55b6ff c,#96d9b3ff d,#cfe3e7ff e,#4c7ac5ff f,#8facdbff g,#5bc589ff ``` ```image cc caaa aaaa gaaaaa aaaaaa gaaaaaaa aaaggaaa aaaa aaaa daaac caaad aaaa aaaa caaac caaad aaaa aaaa gaaad caaad aaaa aaaa gaaa caaad aaag aaaa aaaa caaad daaag aaaa aaaa daaaa caaac gaaag aaaa aaaac caaad aaaa aaaa daaaa gaaa caaaa aaaa aaaac e aaaa aaaad dbbb daaag aaaa bbbf aaaa caaaa fd bbbb daaac gaaag bbbb dbbbf aaaa aaaad bbbbbbd bbbb caaad aaaa bbbbbbbbb fbbbdaaaa daaaa bbbbbebbbbbd bbbbaaad gaaaa dbbbbe dbbbbbe fbbbaaa aaaac dbbbbe bbbbbbd bbbba aaaad dbbbbe dbbbbbe ebbbg daaaa fbbbbf bbbbbb abbbf caaaa fbbbbf dbbbbb dabbbb aaaag ebbbbd bbbbbd aaabbbd aaaaebbbbd bbbbbd caaabbbb aabbbbbd ebbbbf aaaafbbb cbbbbb fbbbbe gaaad bbbe bbbbbg dbbbbb aaaa ebbb bbbbbaac dbbbbb caaa bbbf bbbbbaaaa bbb gg bbbb bbbbb daaaa bd dbbbd bbbbb gaaaa bbbb dbbbbe aaaac fbbb dbbbbe aaaad bbbb dbbbbe aaaa ebbb fbbbbf caaaa bbbe fbbbbf gaaag bbbb ebbbbd aaaad bbbf ebbbbd aaaa bbbb ebbbbd daaaa dbbbd bbbbb gaaag bbbb bbbbb aaaac fbbb bbbbb aaaa bbbe bbbbb daaaa ebbb bbbbb caaaa bbbf bbbbb aaaac bbbb dbbbbe aaaad dbbbd dbbbbe aaaa bbbb fbbbbe caaaa fbbb fbbbbf gaaag bbbe fbbbbf aaaad ebbb ebbbbd aaaa bbbbbbbbd daaaa bbbbbbbd gaaaa dbbbbb aaaac bbbb aaaad bb daaaa caaaa aaaag aaaad aaaa daaaa gaaag aaaac aaaa daaaa gaaaa aaa a ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#a9b10cff b,#21d6ecff c,#e0e3aaff d,#7be3ebff e,#b1d7b1ff f,#bbc654ff g,#99ca93ff ``` ```image faa aaac aaaaa caaaaa aaaaaac caaa aaa aaac aaa faaa faaf aaa aaa aaaf aaa aaa caaf aaaf aaa caaa aaac aaac caaa faaa aaa aaa aaac faaa caaa aaa aaa aaaf faac caaa aaa aaac aaa caaa faaf aaa aaa faaa aaa aaa caaf aaaf aaa aaa aaac aaa aaac caaa aaa caaa aaa aaa aaac faac aaa faaa aaa aaa aaa aaa aaa faaa faaf aaa aaa aaa aaa aaaf aaa aaa caaa caaf aaa aaac aaa aaa caaa aaa aaa aaa caaa aaa faaa aaa aaa caa aaa aaac aaa aaac aaaf caaa aaf caaa aaa aaa aaf aaaa aaac faac caaf aaac caaa geeegaaaeeeeeegaafeee caaa aaac geeeeaaaeeeeeegaafeee aaaa faaa geeeefaafeeeeefaafeee aaac aaa geeeeeaaaeeeeefaafeee caaa aaaa geeeeeaaaeeeeefaafeee aaaf aaa geeeeefaaaeeeefaageee aaac aaaf geeeeeeaaaeeeefaageee faaa caaa geeeeeeaaageeefaageee aaaf aaac geeeeeegaaaeeefaageee aaa caaa geeeeeeeaaaeeeaaaeeee faaa aaa geeeeeeefaaaeeaaaeeee aaaf faaa geeeeeeeeaaaedaaaeeee aaa aaa geeeeeeeeaabbbbbaeeee faaa aaaf geeeeeeeedbbbbbbbbeee aaaf aaa geeeeeeebbbbbbbbbbeee aaa aaac geeeeedbbbbbaaagbbeee faaa caaa geeeebbbbbdaaaaaaeeee aaaf aaac geedbbbbbeegaaaaaeeee caaa faaa gebbbbbdeeeeaaaaaeeee faaaaaa dbbbbbeeeeeefaaaaeeee aaaaaf bbbbbeeeeeeeeeaaaaeeee caaaa dbbbbbeeeeeeeeeefaaaeeee aaaf bbbbbeeeeeeeeeeeeeaaaeeee aa dbbbbbgeeeeeeeeeeeeefageeee bbbbb geeeeeeeeeeeeeeeeeeee dbbbbd geeeeeeeeeeeeeeeeeeee bbbbb geeeeeeeeeeeeeeeeeeee bbbbbd geeeeeeeeeeeeeeeeeeee ddbbbbbbbbbb egggggggggggggggggggg ddbbbbbbbbbbbbbbbbd ddbbbbbbbbbbbbbbbbbbbbbdd dbbbbbbbbbbbbbbbbbbbbbdd ddbbbbbbbbbbbbbbbbbbbbdd ddbbbbbbbbbbbbbbbbbbbbbdd bbbbbbbbbbbbbbbbbbbbdd bbbbbbbbbbbbdd bbbbdd ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a9b10bff b,#21d6ecff c,#d0d47aff d,#93eaf4ff e,#e6e8b9ff f,#b4c03fff g,#53c99dff ``` ```image eaaaaaf eaaaaac aaaaaae eaaaaac faaaaac eaaaaac eaaaaaa eaaaaac aaaaaae eaaaaac caaaaac eaaaaac eaaaaaa eaaaaac faaaaae caaaaac caaaaaf caaaaac eaaaaaa caaaaae faaaaac caaaaae caaaaaf caaaaae aaaaaae caaaaae faaaaac caaaaae eaaaaaf caaaaae aaaaaae faaaaae caaaaac faaaaae eaaaaaa faaaaae aaaaaac faaaaa caaaaaa faaaaa aaaaaae faaaaa caaaaaf faaaaa eaaaaaae faaaaa faaaaaf dd aaaaaa eaaaaagbbbbgfaaaa faafbbbbbbbbggaa eagbbbbbbbbbbbbg dbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbb dbbbbbbbbbbbbbbbbbbbb dbbbbbbbbbgffdgbbbbbbd dbbbbbbbbbbgaaacaagbbbb dbbbbbbbbbgaaaaaaaaaafgd dbbbbbbbbbbdeaaaaaaaaaaaf bbbbbbbbbbd faaaaaaaaaac dbbbbbbbbbbd eaaaaaaaaaac bbbbbbbbbbd faaaaaaaaac dbbbbbbbbbbd eaaaaaaaaac bbbbbbbbbbd faaaaaaaac dbbbbbbbbbbd caaaaaaaac bbbbbbbbbbd aaaaaaaac bbbbbbbbbd caaaaaaac bbbbbbbd aaaaaaae bbbbbb caaaaaae bbbbd eaaaaaae bbb faaaaae bd eaaaaa eaafe ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a9b10bff b,#20d6ecff c,#d1d57eff d,#b0f0f8ff e,#e9ebc1ff f,#bbc241ff g,#60e0edff ``` ```image faa aaae aaaaa eaaaaa aaaaaac caaa aaa aaae aaa faaa faac aaa aaa aaaf aaa aaa caaf aaac aaa eaaa aaae aaae eaaa caaa aaa aaa aaae faaf eaaa aaa aaa aaaf faac eaaa aaa aaac aaa caaa caaf aaae aaa faaa aaa aaa caaf aaaf aaa eaaa aaae aaa aaac eaaa aaa eaaa aaa aaa aaae faac aaa caaa aaa aaa aaa aaa aaa faaf faac aaa aaa aaa aaa aaac aaa aaa eaaa caaf aaa aaac aaa aaa caaa aaae aaa aaae eaaf aaa faaa aaa aaa caa aaa aaae aaf aaac aaaf eaaa aaf eaaa eaaa aaa eaaf aaaa aaac faac eaaf aaae eaaa aaa eaac eaaa aaae aaa eaac aaaa caaa caac eaac aaae aaa aaa caac caaa faaf aaa caac aaaf aaa caaf caae aaae aaac aaa caae caaa eaaa aaae faae aaaf aaae eaaa faae aaae caaa aaa faa caaa aaae caaf faa aaaf faaa aaa daaa aaa aaa fabbbbba faaa aaaf dbbbbbbbbd aaac eaaa bbbbbbbbbb eaaa aaac dbbbbbaaagbb faaa eaaa bbbbbdaaaaaa aaac aaae dbbbbb eaaaaa eaaa caaa bbbbbd aaaaa faaaaaa dbbbbb caaaa aaaaaf bbbbbd aaaa eaaaa gbbbbg caaa aaac bbbbbd aaa af gbbbbg eae bbbbb gbbbbg bbbbb dgbbbbg ddgbbbbbbbbbb dgbbbbbbbbbbbbbbbbg dgbbbbbbbbbbbbbbbbbbbbbgd dggbbbbbbbbbbbbbbbbbbbbgdd ddgbbbbbbbbbbbbbbbbbbbbgdd dgbbbbbbbbbbbbbbbbbbbbggd bbbbbbbbbbbbbbbbbbbbgd bbbbbbbbbbbbgdd gbbbgdd ``` <!-- end of image -->
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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,#77dfc6ff b,#e29eb6ff c,#97dabbff d,#b2d7b2ff e,#f584b6ff f,#96c996ff g,#c7bbb2ff ``` ```image fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddaaadddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddaaadadddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddcaadddacddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddcaacddddaaddddddddddddddddddddf fddddddddddddddddddddddddddddddddddddddddddddddddaacddddddcaddddddddddddddddddddf fddddddddddddddddddddddddddddddddddddddddddddddaaadddddddddaddddddddddddddddddddf fddddddddddddddddddddddddddddddddddddddddddddaaadddddddddddacdddddddddddddddddddf fddddddddddddddddddddddddddddddddddddddddddcaadddddddddddddcadddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddaacdddddddddddddddadddddddddddddddddddf fdddddddddddddddddeegdddddddddddddddddddaacdddddddddddddddddacddddddddddddddddddf fddddddddddddddddbegeegdddddddddddddddaaadddddddddddddddddddaaddddddddddddddddddf fddddddddddddddddegddbeegdddddddddddcaadddddddddddddddddddddcaddddddddddddddddddf fdddddddddddddddgedddddbeeddddddddcaaddddddddddddddddddddddddaddddddddddddddddddf fdddddddddddddddegdddddddbeedddddaacdddddddddddddddddddddddddacdddddddddddddddddf fddddddddddddddgeddddddddddbeedaacdddddddddddddddddddddddddddcadddddddddddddddddf fddddddddddddddebddddddddddddcaaddddddddddddddddddddddddddddddadddddddddddddddddf fddddddddddddddedddddddddddcaadeebddddddddddddddddddddddddddddacddddddddddddddddf fdddddddddddddbedddddddddcaacddddeebddddddddddddddddddddddddddaaddddddddddddddddf fdddddddddddddegddddddddaacddddddddeebddddddddddddddddddddddddcaddddddddddddddddf fddddddddddddgedddddddaaadddddddddddgeebdddddddddddddddddddddddaddddddddddddddddf fddddddddddddegdddddcaadddddddddddddddgeegdddddddddddddddddddddacdddddddddddddddf fddddddddddddeddddcaadddddddddddddddddddgeegdddddddddddddddddddcadddddddddddddddf fdddddddddddebddcaacddddddddddddddddddddddgeegddddddddddddddddddadddddddddddddddf fdddddddddddedaaacddddddddddddddddddddddddddbeegddddddddddddddddacddddddddddddddf fddddddddddbaaadddddddddddddddddddddddddddddddbeedddddddddddddddaaddddddddddddddf fdddddddddaaadddddddddddddddddddddddddddddddddddbeedddddddddddddcaddddddddddddddf fddddddcaaceddddddddddddddddddddddddddddddddddddddbeeddddddddddddaddddddddddddddf fddddcaacdegddddddddddddddddddddddddddddddddddddddddeeeddddddddddacdddddddddddddf fddcaacdddedddddddddddddddddddddddddddddddddddddddddddeebddddddddcadddddddddddddf fcaacddddebdddddddddddddddddddddddddddddddddddddddddddddeebdddddddadddddddddddddf caacddddddeddddddddddddddddddddddddddddddddddddddddddddddddeebdddddacddddddddddddf aaafdddddddbedddddddddddddddddddddddddddddddddddddddddddddddddgeegdddaaddddddddddddf c fdddddddegdddddddddddddddddddddddddddddddddddddddddddddddddddbedddcaddddddddddddf fddddddgedddddddddddddddddddddddddddddddddddddddddddddddddddddeddddaddddddddddddf fddddddebdddddddddddddddddddddddddddddddddddddddddddddddddddddegdddacdddddddddddf fddddddeddddddddddddddddddddddddddddddddddddddddddddddddddddddbedddcadddddddddddf fdddddebdddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddadddddddddddf fdddddeddddddddddddddddddddddddddddddddddddddddddddddddddddddddegdddacddddddddddf fddddbeddddddddddddddddddddddddddddddddddddddddddddddddddddddddebdddaaddddddddddf fddddegddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddcaddddddddddf fdddgeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddaddddddddddf fdddebddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebdddacdddddddddf fdddedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddcadddddddddf fddeeddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddadddddddddf fddedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebdddacddddddddf fdbedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddaaddddddddf fdegddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddcaddddddddf fgedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegdddaddddddddf febdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbedddacdddddddf fedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddcadddddddf eedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegdddadddddddf eddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbedddacddddddf bedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddaaddddddf egdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegddcaddddddf efdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbedddaddddddf ebfddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddacdddddf e fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddcadddddf be fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebdddadddddf e fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddacddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddaaddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebddcaddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddaddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddacdddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebddcadddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddadddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddadddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbeddddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegdddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbedddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddegddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbeddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddebdddf fddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddgedddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddedddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddf ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#76e0c8ff b,#f9afd0ff c,#baeee3ff d,#fcd9e8ff e,#f685b8ff f,#e4f8f4ff g,#97e6d4ff ``` ```image cf aaaa aaaaa faaa ga caagf fac faag gg caac fa caag a gaaf af aaa gg caaaf caf faaa ag eeed caac aa eeeed caag aa de beebd gaac caf be beeed caac fac ded beeb caaaf ga ee beeb faaa fa ee deee caac a bed deeeaag ac ded fgaagee ga ee aaacbeeb caf ee fgagf eeed ag deb faaa eeeb aa eb caagf beeb aa e gaag deee caf de gaac deeed fac deb aaaf eeed caf ee caaac beebd ag ee fgaag beeed aa decaaaf beeb aa baaacf beeb ga caaac deee fac faaage deeed ga faaafee eeed ca aaac be deee a fcaaa ee eeed ac faaag eb eeeb ag aagf ee beeb caf ac deb deee fac ee dbe aa ee ed aa ded eb ga eb ded fac e ee ca be ee fa ded ee a be bed af ee ee gg bed ded fac ee eb ag e ee aa be be ga eb ded caf ee be ag ee de ga deb e fac eb eb aa bed ee aa ee deb ga deb ee fac bed ee gg ed be fa e ded a be be af ed e gg e e caf e eb ag ded aa eb aa ee caf ee fac be ga eb fa be a eb ac ee ga ee caf ded ag eb aa de aa e caf ed eb ded eb ee ee ded be de e eb ee ded eb ee be de ``` <!-- end of image --> I observe 2 intersections inside area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#75dfc8ff b,#f8a9cdff c,#b2ede0ff d,#fcd7e7ff e,#f785b8ff f,#dcf6f0ff g,#8ee4d1ff ``` ```image ff aaa gag a caa af faaf gg aac fa gag a gaa ac caaf ca faaf a eed aac af bedeed gag gg ed beed caa fa de bee faaf a ed bee faac ac de bee aac ca eb gaa a e caa eeb af be faaf eeb gg ed aac eeb fa de gag deeb a ed caa deed ac e caaf deed ca eb caaf deed a e gaaf beed af baaaf bee gg aaa bee fa faage bee a faac eb eee ac caac e eeb ca caaf eb eeb a gaaf e eeb af aaa be deed gg g ed be fa de e a eb ed ac e be ca eb e a e ed af be eb gg ed de fa de e a eb eb ac e de ca ee e a e eb af be de gg ed e fa de ed a eb be ac e e ca ee ed a e be af be e gg ed ed fa de be a eb e ac e ed ca be eb a ed de af d e gg eb fa de a e ac eb ca de a e af ed be e ed be e ed be de e eb de e ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#557154ff b,#112e13ff c,#96bf96ff d,#b2d7b2ff e,#739373ff f,#eef5eeff g,#a6d0a6ff ``` ```image ee aa cf aaf fbb aae bbb daaa cbbbd caaa bbfba eaeaf aba bb aafae bb bb ffffffffffffffffffffffffffffaafaaffffffffbbeffebcffffffffffffffffffff fggggggggggggggggggggggggggggaagaagggggggcbbgggcbbggggggggggggggggggggf fgdddddddddddddddddddddddddddaadeacddddddbbcddddbbdddddddddddddddddddgf fgddddddddddddddddddddddddddgaedcaedddddebbdddddbbdddddddddddddddddddgf fgddddddddddddddddddddddddddcaeddaadddddbbddddddabeddddddddddddddddddgf fgddddddddddddddddddddddddddeacddaaddddabaddddddgbbddddddddddddddddddgf fgddddddddddddddddddddddddddeadddeacdddbbddddddddbbddddddddddddddddddgf fgddddddddddddddddddddddddddaadddcaeddbbeddddddddbbddddddddddddddddddgf fgddddddddddddddddddddddddddaaddddaadcbbdddddddddabedddddddddddddddddgf fgddddddddddddddddddddddddddaaddddaadbbcddddddddddbbdddddddddddddddddgf af fgddddddddddddddddddddddddddaaddddeaebbdddddddddddbbdddddddddddddddddgf caac fgdddddddddddddddddddddddddgaeddddcaabddddddddddddbbdddddddddddddddddgf daaa fgdddddddddddddddddddddddddcaedddddaaaddddddddddddebaddddddddddddddddgf aaad fgdddddddddddddddddddddddddeacdddddaaddddddddddddddbbddddddddddddddddgf caae fgdddddddddddddddddddddddddaadddddbaacdddddddddddddbbddddddddddddddddgf faaaf fgdddddddddddddddddddddddddaaddddcbbaedddddddddddddbbgdddddddddddddddgf eaag fgdddddddddddddddddddddddddaaddddbbcaadddddddddddddebadddddddddddddddgf daaa fgdddddddddddddddddddddddddaadddebbdaaddddddddddddddbbdddddddddddddddgf aaaffgdddddddddddddddddddddddddaadddbbddeacdddddddddddddbbdddddddddddddddgf eaaegddddddddddddddddddddddddgaeddabaddcaedddddddddddddbbgddddddddddddddgf faaaddddddddddddddddddddddddcacddbbddddaadddddddddddddebaddddddddddddddgf aaacddddddddddddddddddddddeacdbbeddddaaddddddddddddddbbddddddddddddddgf feaaadddddddddddddddddddddaadgbbdddddeacdddddddddddddbbddddddddddgdddgf fggaaagdddddddddddddddddddaadcbadddddcaedddddddddddddbbcddddddddeacddgf fgddeaaeddddddddddddddddddaadcbaddddddaadddddddddddddebaddddddddaacddgf fgdddcaaadddddddddddddddddaadcbaddddddaaddddddddddddddbbdddddddeaacddgf fgdddddaaacdddddddddddddddaadebaddddddeacdddddddddddddbbdddddddaaaeddgf fgddddddeaaedddddddddddddcaedebaddddddcaedddddddddddddbbcdddddaaeaeddgf fgdddddddgaaaddddddddddddcacdebedddddddaadddddddddddddcbadddddaacaeddgf fgdddddddddaaacddddddddddeagdebedddddddaaddddddddddddddbbddddaacgaeddgf f fgddddddddddcaaadddddddddaaddebedddddddeacdddddddddddddbbdddgaadgaeddgf bbbbbacd fgddddddddddddaaagdddddddaaddebedddddddcaedddddddddddddabcddaacddaeddgf fabbbbbbbbbbbaeedddddddddddddeaaeddddddaaddabeddddddddaadddddddddddddcbadcaadddaaddgf fcabbbbbbbbbbbbaedddddddcaaadddddaaddabeddddddddaaddddddddddddddbbdaagdddaaddgf fcabbbbbbbbddddddddaaacdddaaddabcddddddddeacdddddddddddddbbcaaddddaaddgf fgddddgebbbddddddddeaaadcaeddabcddddddddcaedddddddddddddabaagddddaaddgf fgdddddddbbcddddddddgaaaeacddabcdddddddddaadddddddddddddcbaadddddaaddgf fgdddddddcbbddddddddddeaaagddabcdddddddddaaddddddddddddddaaddddddaaddgf fgddddddddabbddddddddddcaadddabcdddddddddeacddddddddddddeaaddddddaaddgf fgdddddddddbbcdddddddddddgdddabgdddddddddcaeddddddddddddaabedddddaaddgf fgdddddddddcbbdddddddddddddddbbgddddddddddaadddddddddddeaebbdddddaaddgf fgddddddddddbbaddddddddddddddbbdddddddddddaadddddddddddaadbbdddddaaddgf fgdddddddddddbbcdddddddddddddbbdddddddddddeacdddddddddeaedbbdddddaaddgf fgdddddddddddcbbdddddddddddddbbdddddddddddcaedddddddddaaddabeddddaaddgf fgddddddddddddbbaddddddddddddbbddddddddddddaaddddddddaacddgbbddddaaddgf fgdddddddddddddbbgdddddddddddbbddddddddddddaaddddddddaaddddbbddddaaddgf fgdddddddddddddcbbdddddddddddbbddddddddddddeacddddddaacddddbbddddaaddgf fgddddddddddddddbbaddddddddddbbddddddddddddgaedddddgaadddddabedddaaddgf fgdddddddddddddddbbgdddddddddbbdddddddddddddaadddddaacdddddgbbdddaaddgf fgdddddddddddddddebbdddddddddbbdddddddddddddaaddddcaadddddddbbdddaaddgf fgddddddddddddddddbbaddddddddbbdddddddddddddeacdddaagdddddddbbdddeaddgf fgdddddddddddddddddbbgdddddddbbdddddddddddddgaeddcaaddddddddabeddeagdgf fgdddddddddddddddddebbdddddddbbddddddddddddddaaddaagdddddddddbbddeagdgf fgddddddddddddddddddbbaddddddbbddddddddddddddaadcaaddddddddddbbddeacdgf fgdddddddddddddddddddbbddddddbbddddddddddddddeacaadddddddddddbbddeacdgf fgdddddddddddddddddddebbdddddbbddddddddddddddgaaaedddddddddddebadeacdgf fgddddddddddddddddddddbbeddddbbdddddddddddddddaaadddddddddddddbbdcacdgf fgdddddddddddddddddddddbbddddbbdddddddddddddddaaedddddddddddddbbdcacdgf fgdddddddddddddddddddddabbdddbbdddddddddddddddcaddddddddddddddbbgcaedgf fgddddddddddddddddddddddbbeddbbdddddddddddddddddddddddddddddddebacaedgf fgdddddddddddddddddddddddbbddbbddddddddddddddddddddddddddddddddbbgaedgf fgdddddddddddddddddddddddabbdbbddddddddddddddddddddddddddddddddbbddddgf fgddddddddddddddddddddddddbbebbddddddddddddddddddddddddddddddddbbgdddgf fgddddddddddddddddddddddddgbbbbddddddddddddddddddddddddddddddddebadddgf fgdddddddddddddddddddddddddabbbdddddddddddddddddddddddddddddddddbbdddgf fgddddddddddddddddddddddddddbbbdddddddddddddddddddddddddddddddddbbdddgf fgddddddddddddddddddddddddddgbbdddddddddddddddddddddddddddddddddbbcddgf fgdddddddddddddddddddddddddddgddddddddddddddddddddddddddddddddddebaddgf fccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccf bb abf dba ef ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#567255ff b,#0f2c11ff c,#91a191ff d,#b3beb3ff e,#768a76ff f,#dadfdaff g,#344d35ff ``` ```image faaa eaaf gbbc ebbb daaa daad ebbb dbbb caaa aaa bbba gbbf eaaa eaaf dbbbf ebbd aaaa daad gbbe dbba aaae faac cbbbf bbg faaac eaaf ebbg ebbc daaad daad fbbbd dbba caaaf faac abbb bbg caaaf aaa dbbbb gbbf eaaa aaaf gbbbe ebbc aaae aaac bbbc bbb aaac aaaa ebbg bbbf aaad caaa fbbbd bbbc aaad daaa abba bbba aaaf aaa gbbe abbb aaa caacbbbf cbbb aae daagbbb fbbb aae faagbbg bbb daad caaba cbbc daad caagf fbba caaf gaaa bbb eaaf cbaaa abbd aae ebbgaad fbbg faae bbbbaac gbb faac bbbaaaa abbd daad dbbbfaaaf cbbe daad gbbe aaad fbbg eaa gbbc aaaa bbbd eaa ebbg caaa bbbe aae fbbbd daaa bbbg c faac abbb faaa gbbb aad daad bbbe caaf dbbb aaaef daaf cbbb daad fbbb aaaaad caaf bbbc faae gbbf feaaaa eaa ebbg aaa ebbd feaaaad aaa fbbg daad fbbg ec caaaac faaa fbba faae gbbf caaf daaaaa faaa fbba aaa ebbd faaaf eaaaac daaa fbbe caaf dbba caaad faaaaad caaa dbbe faae gbbf eaaaad caaaa eaaa dbbe aaa ebbc faaaaad aaaaef aaaa dbbe aaaf dbba eaaaaad feaaaad aaae dbbe aaad bbg aaaaaad faaaad aaad dbbc aaaa bbbc daaefaac eaaaac aaad dbbc caaaf bbba aaadfaac daaaaef aaaf dbbc daaad bbbb daae faac feaaaad aaaf cbbc faaae abbbf aaaf faac aaaaa aaa cbbc aaaa cbbbc daae faac feaaaac aae cbbc daaa bbbb caaa aae caaaae faac cbbd faaa abbb aaaa aae faaaad daad cbbd aaa cbbb aaac aae edf caaaac daad cbbd caaf fbbb faaaf aae bbbbbbbbbbgecdf feaaaa eaaf ebbd faae abbd faaaf eaa bbbbbbbbbbbbbbb aaaaef eaa ebbd aaa cbbc eaac eaa dcagbbbbbbbbbbbe daaaaaf aae ebbd caaf fbbafaaa eaa fceagbbbbbbf feaaaac faae ebbd daad bbbeaad eaa fbbbe eaaaad daad ebbf aaa cbaaaa eaa cbbbf caaaaccaad abbf caaf fbaaae caaf bbbg daaaaaaaf abbf daad gaaad caaf bbbb feaaaaa abbf faae aaaa caaf gbbg faaae abbf aaaf daaag caaf fbbbc cad abbf aaad aaabb caaf cbbbf f abbf aaae caagbbd daaf gbba abb aaaa faaabbbe daad fbbbc gbb caaa caaabbbg daad gbbba gbb faaa caaacebbb daad fbbbb gbb aaa aaaafdbbb daad ebbbf gbb caaf aaac fbbb faad gbba gbb daad faaa gbbf faad ebbbf gbb aaa daaa dbbe faac gbba bbb caaf eaad fbbg faac dbbbd bbb daad daae gbbf faac bbbg bbb faae aaad ebbd faac dbbbd bbb caaf aaaa bbg aae ebbg bbb daad aaae gbbf aae gbba bbb faae aaaf ebbc aae dbbbd bbb aaa caae dbba aae bbbe fbbb aaad caac bbbf aaa bbbb fbbb aaae faaaf bbbc aaa abbb fbbb aaaa caac bbba aaa fbbbe fbbb caaa faaaf bbbb aaa dbbbd fbbb daaa eaaa abbb aaa fbbbe fbbb aaa aaad dbbb aaa dbbbf fbbb caaf daaa bbb aaaf bbbg fbbb daad eaad abbf aaaf bbbbe dbbb faae daae cbbc aaaf abbb dbbb caafdaae bbb aaaf fbbbc dbbb daacaaaf abbd aaaf cbbbf dbbb faaaaaa cbbc aaaf gbbg dbbb aaaaaa fbba aaad cbbbf dbbb daaaaf abbd aaad bbbg cbbb faaac cbbe aaad bbbb cbbb aaaf fbbg aaad cbbbf cbbb aad bbb aaad fbbbc cbbb bbbe aaac ebbbf cbbb bbbg aaac gbba cbbb gbbb aaac fbbbd ebbb abbbdccdd gbbb ebbb fbbbg dbbbdebbb gbbb ebbgabbb ebbb gbbbbbb dbbb dbbbbbb fbbb bbbbb ebbd bbbbb dbbe abbbb fbbg gbbb gbbf ff dbba bbg ``` <!-- end of image --> Eureka! There's definitely 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#567255ff b,#0f2c11ff c,#9caa9cff d,#bdc7bdff e,#7d917dff f,#dde2ddff g,#314a32ff ``` ```image ee aa cf aaf fbb aae bbb faaa cbbbd caaa bbfbg eaeaf aba bb aafae bb bb aa aa gbc ebc aa aa fbb fbg aa eaf bbf bb ae fae cbb bb dac aa bb ebc cad aa aba bg ea eaf bb bb aa fae gbc bb aa aa fbb ebc aa aa bbf bb af aa eacbb bb caac fae fagb bb faaa dac aaa cbe aaaf caf aa bb caae ea ggaf bb faaa aa fbbae gb eaad aa bbfaa cbe daaa aa cbb aa bb aaaf aa bb eaf bb eaae fae aba fae gbf faaa dad bb aa cbe aaad caf gbc aa bb caae aa bb eaf bb aaaf aa fba fae gbf caf eaac aa dba aa dba aad faaa aa dbe aa bb eaad aaaf aa dbe eaf bb aaac caae fac dbe fae gbf eaeac faaa dad cbe aa dba aafac aaad eaf cbc aa bb aadfae f daaa aa cbc eaf bb faa ae bbbbbacf aaaf aa cbc fae abd aaf ae fabbbbbbbbbbbged eaac aa ebd aa dba faa ae fcabbbbbbbbbbbged faaa aa ebd aa bb aaf aa fcagbbbbbbb aaad ae ebd eaf bbdaa aa dgbg caae fac ebd fae abaa aa bbf aaacad abf aa fgaa aa fbb eaaaf abf aa aa aa abg daa abf eaf caa aa bbf f abf fae aabd aa fbb gb aa caebg aa gba gb aa aa bb aa bbf gb eaf eac bb aa dbb gb fae aa ebc aa gba gb aa ead fbg aa bbf bb aa aa bb aa dbb bb eaf aad bb aa gba bb fae faa ebc aa bb bb aa aaf bg aa dbb bb aa faa bb aa gbe bb eaf aaf bb ea bb bb fae daa ebc ea cbb bb aa aa bb eaf bbe bb aa daa bb caf bb bb eafaa bb caf cbb bb faaae cbe cad bbc bb aaa bb dad bb bb aac bb dad ebb bb da gb dac bbc bb cbefac bb bb bbfac ebb bb bb bbcbb gbf bbbb cbe ebbb bb bbb bb fbb gbf f dba bb bb gbf dba e ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#2ca7e7ff b,#e650b1ff c,#79c3e2ff d,#e697c8ff e,#eaedf1ff f,#b1d7b1ff g,#96ca96ff ``` ```image effffffffffffffffffffff effffffffffffffffffffff effffffffffffffffffffff efffffffffffffffffbffff efffffffffffffffcaacfff efffffffffcaaaaaaaaafff efffccaaaaaaaaacbbfffff ecaaaaaaaaaacfffbbbffffff ecaaaaaaaaaacffffffffbbbfffffff ecaaaaaaaaaaceefffffffffffbbbffffffff ccaaaaaaaaace effffffffffbbbfffffffff ecaaaaaaaaace efffffffffbbbffffffffff ecaaaaaaaaacce effffffffbbbfffffffffff ecaaaaaaaaaace efffffffbbbffffffffffff eccaaaaaaaaace effffffbbbfffffffffffff caaaaaaace efffffbbbffffffffffffff aacc effffbbbfffffffffffffff aa efffdbbffffffffffffffff eac effdbbfffffffffffffffff cae effbbffffffffffffffffff aa efdbdffffffffffffffffff aa egdbfffffffffffffffffff eac edbeeeeeeeeeeeeeeeeeee cae db aa bb aa bb eac bb cae bb aa bb aa bb eac bb cae bb aa bb aa bb eac bb eeeeeeeeeeeeecaeeeeeee bb gfffffffffffffaafffffffg bd gfffffffffffffaafffffffg ebd gfffffffffffffaafffffffg ebd gffffffffffffcacfffffffg dbd gffffffffffffaaffffffffg dbe gffffffffffffaaffffffffg dbe gffffffffffffaaffffffffg db gfffffffffffcacffffffffg bb gffbbfffffffaafffffffffg bb gffbbbdfffffaafffffffffg bb gfffdbbbffffaafffffffffg bb gfffffbbbdfcacfffffffffg bb gffffffdbbbaaffffffffffg bb gffffffffbbaaffffffffffg bb gfffffffffdaabfffffffffg bb gfffffffffcabbbffffffffg bb gfffffffffaafdbbbffffffg bb gfffffffffaafffbbbbffffg bb gfffffffffaafffffbbbbffg bb gffffffffcacffffffdbbbdg bd gffffffffaafffffffffdbbbd ebd gffffffffaafffffffffffdbbbe ebd gffffffffaaffffffffffffgbbbbe dbd gfffffffcacffffffffffffg bbbb dbe gfffffffaafffffffffffffg ebbbb dbe gfffffffaafffffffffffffg ebbbd dbe gfffffffaafffffffffffffg dbbbd db gffffffcacfffffffffffffg dbbbd bb gffffffaaffffffffffffffg dbbbe bb eeeeeeaaeeeeeeeeeeeeee bbbbe bb eaa bbbb bb cae ebbbb bb aa ebbbd bb aa dbbbd bb aa dbbbe bb cae bbbbe bb aa bbbb bb aa ebbbd bb aa ebbbd bd cae dbbbe ebd aa bbbb ebd aa ebbbdebd aa ebbbbe cae dbbe aa d aa aa ee ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#29a6e7ff b,#e64fb2ff c,#85ccf1ff d,#ec83c8ff e,#bbe2f7ff f,#f4c0e3ff g,#52b0e9ff ``` ```image caaae gaaa aaag eaaac caaae gaaa aaag eaaac caaae gaaa aaag eaaac caaae gaaa aaag eaaac f caaae fbd gaaa bbbbf aaag fbbbbbd eaaac fbbbbbbf caaae dbbbbbd gaaa fbbbbbbf aaag dbbbbbd eaaac fbbbbbbf caaae dbbbbbd gaaa fbbbbbbfaaag fdbbbbbaaac fbbbgaaae fdbgaaad daaagbbf eaaagbbbd caaabbbbbbf gaaafbbbbbbd aaag dbbbbbbd eaaac fbbbbbbbf caaae dbbbbbbbf gaaa dbbbbbbbf aaag fdbbbbbbdf eaaac fdbbbbbbd caaae fbbbbbbbd gaaa fbbbbbbb aaag fbbbbb eaaac dbbb caaae db gaaa f aaag eaaac caaae gaaa aaag eaaac caaae gaaa aaag eaaac caaae gaaa aaag ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Okay, let's proceed to the next area. Let's zoom in on area B to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#2ba6e7ff b,#e64fb2ff c,#6abfedff d,#ed84c9ff e,#aedcf5ff f,#f6c7e6ff g,#927dcdff ``` ```image df dbbf dbbgb eecaaaag eeccaaaaaaaaac eeccaaaaaaaaaaaaaaac eeccaaaaaaaaaaaaaaaaaaacee eecaaaaaaaaaaaaaaaaaaagggbd eeccaaaaaaaaaaaaaaaaaacee fbbbbd aaaaaaaaaaaaaaaaaccee fbbbbd aaaaaaaaaaaccee fbbbbd aaaaaccee fbbbbd cee fbbbbd fbbbbb fbbbbb fbbbbb fbbbbb fbbbbbf fbbbbbf bbbbbf bbbbbf bbbbbf bbbbbf dbbbbf dbbbbf dbbbbf dbbbbf dbbbbf dbbbbd dbbbbd dbbbbd dbbbbd dbbbbd fbbbbd fbbbd fbbbf fbbbf dbbbf ``` <!-- end of image --> The lines cross each other within area B, forming 1 intersection. Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#29a6e7ff b,#e64fb2ff c,#87cbf0ff d,#ed86c9ff e,#bee3f7ff f,#f6c3e4ff g,#54b5ebff ``` ```image bf ecaac egaaaaaaag egaaaaaaaaagbd ecaaaaaaaaage bbd ecgaaaaaaaagc bbd cgaaaaaaaagce bbb egaaaaaaaaace bbb ecaaaaaaaaage bbb ecaaaaaaaaagc bbb ecgaaaaaaaagce bbb egaaaaaaaaace dbb caaaaaaace dbb aage dbb aa dbb ag dbb cae fbb aa fbf aa dbf ag db cae db aa bb aa bb ag bb cae bb aa bb aa bb ag bb cae bb aa bb aa bb ag bb cae bd aa bd aa fbd ag fbf cae fbf aa fbf aa dbf ag db f cae db bb aa bb bbbf aa bb fbbb ag bb bbbf cae bb fbbbaa bb bbaa bb dagb bb cabbbf bb aa dbbb bb aa bbbb bb ag fbbbd bd cae fbbbd bd aa dbbbf bd aa dbbbf fbd ag dbbb fbf cae bbbb fbf aa bbbb dbf aa fbbbd db ag fbbbd db cae dbbbf bb aa dbbbf bb aa bbbb bb ag bbbb bb cae bbbd bb aa fbbbd bb aa fbbbf bb ag dbbbf bb cae dbbb bb aa bbbb bb aa bbbd bb ag fbbbf bd cae dbbbf bd aa bbbb fbd aa bbbdfbf ag fbbbbf cae dbbf aa f aa ag ee ``` <!-- end of image -->
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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,#84c16aff b,#f69f91ff c,#b2d7b1ff d,#69ba4dff e,#fac9c1ff f,#f1f2eaff g,#97cc93ff ``` ```image ef bbb bbb bbb bbb ebbe bbbf bbb bbb bbb fbbe ebbf bbb bbb bbb bbb fbbe ebbf ffffeeeeeeebbbbbb ffffeeeeeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gggggggggbbbbbbbbbbbbbddabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeeeeffff cccccccccbbbbbbbbbbbbdddddbbbbbbbbbccefff cccccccccbbbcccccccccdddddddcccccccccf cccccccccbbbccccccccdddadddddgcccccccf cccccccccbbcccccccccdddccgdddddccccccf ccccccccbbbccccccccdddaccccdddddaccccf ccccccccbbbccccccccdddccccccgdddddgccf ccccccccbbbcccccccdddaccccccccadddddcf ccccccccbbbcccccccdddcccccccccccdddddc ccccccccbbbccccccaddaccccccccccccgdddddf ccccccccbbbccccccdddcccccccccccccccdddddg ccccccccbbbcccccaddaccccccccccccccccgdddddf ccccccccbbbcccccdddccccccccccccccccccfgddddd ccccccccbbbccccaddaccccccccccccccccccf dddddc ccccccccbbbccccdddcccccccccccccccccccf cddddc ccccccccbbbcccaddacccccccccccccccccccf addd ccccccccbbbcccdddccccccccccccccccccccf dddc ccccccccbbbccaddaccccccccccccccccccccf ddd ccccccccbbcccdddcccccccccccccccccccccf addg cccccccbbbccaddacccccccccccccccccccccf ddd cccccccbbbccdddccccccccccccccccccccccf adda cccccccbbbcaddaccccccccccccccccccccccf ddd cccccccbbbcdddcccccccccccccccccccccccf gdda cccccccbbbaddacccccccccccccccccccccccf ddd cccccccbbbdddccccccccccccccccccccccccf gdda cccccccbbaddaccccccccccccccccccccccccf dddf cccccccbbdddcccccccccccccccccccccccccf cddd cccccccbadddcccccccccccccccccccccccccf dddf cccccccbdddccccccccccccccccccccccccccf cddd cccccccadddccccccccccccccccccccccccccf dddf cccccccdddcccccccccccccccccccccccccccf cddd ccccccadddcccccccccccccccccccccccccccf dddf cccbccdddccccccccccccccccccccccccccccf fddd ccbbbadddccccccccccccccccccccccccccccf dddc ccbbbdddbccccccccccccccccccccccccccccf fddd cccbadddbccccccccccccccccccccccccccccf dddc ccccdddbbccccccccccccccccccccccccccccf fddd ccccdddbbccccccccccccccccccccccccccccf dddc ccccddabbccccccccccccccccccccccccccccf ddd cccgddabbccccccccccccccccccccccccccccf addg cccgddgccccccccccccccccccccccccccccccf ddd cccaddgccccccccccccccccccccccccccccccf addg cccaddcccccccccccccccccccccccccccccccf ddd cccaddcccccccccccccccccccccccccccccccf gdddgf cccdddcccccccccccccccccccccccccccccccf dddddddac cccdddcccccccccccccccccccccccccccccccf cdddddddddddac cccdddcccccccccccccccccccccccccccccccf caddddddddddddgf cccdddcccccccccccccccccccccccccccccccf cadddddddddddacf cccdddcccccccccccccccccccccccccccccccf fgddddddddddd gggdddggggggggggggggggggggggggggggggg cadddddd ddd cad dda dda fddg cddc cddc gddf addf add ddd ddd ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#90bf6eff b,#f79e90ff c,#cee8c6ff d,#69ba4dff e,#f9c1b8ff f,#f2e9dfff g,#a6d493ff ``` ```image fbbbbbbbbbbbbbbbbbbbbbbbbbbadabbbbbbbbbbbbbbbbbbbbbbbbb ebbbbbbbbbbbbbbbbbbbbbbbbbaddddabbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbadddddddabbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbdddddddddabbbbbbbeeeeeeeeeeeee bbbbbbbbbbeeeeeeeeeeeeffgdddddddddddg bbbbbe addddddddddddac fbbbbbe cdddddddddddddddg fbbbbbe adddddggddddddddddc fbbbbbe cddddddf cadddddddddaf fbbbbbf adddddg gddddddddddg ebbbbbf cddddddf fadddddddddac ebbbbbf adddddg cddddddddddgf ebbbbbf cddddddf gddddddddddc ebbbbb adddddg fadddddddddaf ebbbbb cddddddf cddddddddddg bbbbbb adddddg fgdddddddddac bbbbbb cddddddf caddddddddd bbbbbb adddddg gdddddddd bbbbbe cddddddf fadddddd bbbbbe adddddg cddddd fbbbbbe cddddddf fgddd fbbbbbe adddddg cad fbbbbbe cddddddf g fbbbbbf adddddg ebbbbbf cddddddf ebbbbbf adddddg ebbbbbf cddddddf ebbbbb adddddg ebbbbb cddddddf bbbbbb adddddg bbbbbb cddddddf bbbbbb addddda bbbbbe cddddddf bbbbbe addddda fbbbbbe cddddddc fbbbbbe addddda fbbbbbe cddddddc fbbbbbf addddda ebbbbbf cddddddc ebbbbbf addddda ebbbbbf fddddddc ebbbbb addddda ebbbbb fddddddc bbbbbb gddddda bbbbbb fddddddc bbbbbb gddddda bbbbbefddddddc bbbbbegddddda fbbbbbeddddddc fbbbbbaddddda fbbbbbddddddc fbbbbaddddda ebbbbddddddc ebbbaddddda ebbbddddddc ebbaddddda ebbddddddc bbaddddda bbddddddc baddddda bddddddc addddda fddddddc gdddddd fddddddg ee gddddddf ebbe fddddddaf ebbbbegddddddbf bbbbbbbddddddabf ebbbbbaddddddbb ebbbbddddddabb ebbaddddddbbb ebddddddabbb addddddbbbb adddddabbbe ddddddbbbbe dddddabbbbe fdddddabbbbe fdddddabbbbf cdddddgbbbe cdddddgfff cdddddc cdddddc gdddddc gdddddc gdddddf addddd addddd addddd ddddda ddddda ddddda fdddddg fdddddg cdddddg cdddddg cdddddc gdddddc gdddddc ``` <!-- end of image --> Oh my, look at that! It's 2 intersections in area A! Answer: A: 2; 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#84c067ff b,#f79e90ff c,#c0e1b4ff d,#69ba4dff e,#fabfb6ff f,#f4e5dbff g,#9bd087ff ``` ```image ff bbb bbb bbb bbe fbbf ebb bbb bbb bbb fbbe ebbf bbb bbb bbb bbb fbbe ebbf fffffeeeeeebbbbb fffffeeeeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb febbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbe bbbbbbbbbbbbbddabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeeeeefffff bbbbbbbbbbbbdddddbbbbeeeeeefffff bbe dddddda fbbe addgdddddc fbbf ddd cddddd ebbf addg addddg ebb ddd fdddddf bbb addg gdddda bbb ddd dddddc bbb addg cddddd bbb ddd addddg bbb addg fdddddf bbb ddd gdddda bbb addg dddddc bbb ddd cddddc bbb addg addd bbe ddd dddg fbbe gddg ddd fbbf ddd addg ebbf gddg ddd ebb ddd addg bbb gdda ddd bbb ddd gdda bbbgdda ddd bbbddd gdda bbadda ddd bbddd cddd badda dddf bddd cddd adda dddf ddd cddd gdda dddf e dddf fddd ebbgdddf dddc bbbdddb fddd badddb dddc dddbb ddd dddbb dddc ddabb ddd fddgbe addg cddc ddd cddc addg gddf ddd add gdddgf ddd dddddddac ddd cdddddddddddac ddd cgddddddddddddgf ddd cadddddddddddac ddd fgddddddddddd ddd cgdddddd ddd cad dda dda fddg cddc cddc gddf gdd add ddd ddd ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. 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,#58886dff b,#bcfcccff c,#95c796ff d,#b2d8b2ff e,#edf7eeff f,#77a385ff g,#a5cfa7ff ``` ```image eeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeee ggggggggggggggggggggggggbbbdggggggggggggggggggc ddddddddddddddddddddddddbbbbddddddddddddddddddc ddddddddddddddddddddddddbbbbbdddddddddddddddddc ddddddddddddddddddddddddbbbbbbddddddddddddddddc ddddddddddddddddddddddddbbbbbbddddddddddddddddc ddddddddddddddddddddddddbbbdbbbdddddddddddddddc ddddddddddddddddddddddddbbbddbbbddddddddddddddc ddddddddddddddddddddddddbbbddbbbbdddddddddddddc ddddddddddddddddddddddddbbbdddbbbdddddddddddddc eebddgcffaaaaa ddddddddddddddddddddddddbbbddddbbbddddddddddddc eeeddgcffaaaaaaaaaaaaaaaaaaaaaaaaaccc ddddddddddddddddddddddddbbbdddddbbgfffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddd ddddddddddddddddddddddddbbbdddddbfaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffcgddeegddddddddddddddd ddddddddddddddddddddddddbbbddddddaaaaaaaaaaafffddbee egddddddddddddddd ddddddddddddddddddddddddbbbddddddaafbdddddddddc egddddddddddddddd ddddddddddddddddddddddddbbbdddddgaadbbddddddddc egddddddddddddddd ddddddddddddddddddddddddbbbdddddfaadbbbdddddddc egddddddddddddddd ddddddddddddddddddddddddbbbdddddaaadbbbbddddddc egdddddddddbbbddd ddddddddddddddddddddddddbbbdddddaafddbbbddddddc egddddddddbbbbddd ddddddddddddddddddddddddbbdddddgaacdddbbbdddddc egddddddbbbbbdddd ddddddddddddddddddddddddbbdddddfaadddddbbbddddc egdddddbbbbdddddd ddddddddddddddddddddddddbbdddddaaadddddbbbbdddc egddddbbbbddddddd ddddddddddddddddddddddddbbdddddaaaddddddbbbdddc egddbbbbbdddddddd ddddddddddddddddddddddddbbdddddaacdddddddbbbddc egdbbbbdddddddddd ddddddddddddddddddddddddbbddddfaadddddddddbbbdc ebbbbbddddddddddd ddddddddddddddddddddddddbbddddaaadddddddddbbbbc bbbbddddddddddddd ddddddddddddddddddddddddbbddddaaaddddddddddbbbd ebbbbcccccccccccccc ddddddddddddddddddddddddbbddddaacdddddddddddbbbe bbbbe ddddddddddddddddddddddddbbdddcaadddddddddddddbbb ebbbb ddddddddddddddddddddddddbbdddaaaddddddddddddddbbb bbbbb ddddddddddddddddddddddddbbdddaaaddddddddddddddbbbb ebbbbe ddddddddddddddddddddddddbbdddaafddddddddddddddcbbbe bbbbb ddddddddddddddddddddddddbbddcaadddddddddddddddc bbb bbbbe ddddddddddddddddddddddddbbddfaadddddddddddddddc ebbb ebbbb ddddddddddddddddddddddddbbddaaadddddddddddddddc bbbb bbbbb ddddddddddddddddddddddddbbddaafdddddddddddddddc bbbe ebbbb ddddddddddddddddddddddddbbdcaagdddddddddddddddc bbbbbbbb ddddddddddddddddddddddddbbdfaaddddddddddddddddc bbbbbe ddddddddddddddddddddddddbbdaaaddddddddddddddddc ebbb ddddddddddddddddddddddddbbdaafddddddddddddddddc ee ddddddddddddddddddddddddbbgaagddddddddddddddddc ddddddddddddddddddddddddbbfaadddddddddddddddddc ddddddddddddddddddddddddbbaaadddddddddddddddddc ddddddddddddddddddddddddbbaafdddddddddddddddddc ddddddddddddddddddddddddbbaacdddddddddddddddddc dddddddddddddddddddddddbbcaaddddddddddddddddddc ddddddddddddddddddddddbbbaaaddddddddddddddddddc dddddddddddddddddddddbbbbaaaddddddddddddddddddc dddddddddddddddddddddbbbdaacddddddddddddddddddc dddfcdddddddddddddddbbbdcaadddddddddddddddddddc ddaaaddddddddddddddbbbddaaadddddddddddddddddddc ddgaaaddddddddddddbbbdddaaadddddddddddddddddddc dddaaacddddddddddbbbddddaafdddddddddddddddddddc dddbaaadddddddddbbbddddgaaddddddddddddddddddddc ddddgaaadddddddbbbbddddcaaddddddddddddddddddddc ddddbaaagdddddbbbbdddddfaaddddddddddddddddddddc ddddbbaaaddddbbbbddddddfaaddddddddddddddddddddc dddddbcaaaddbbbbdddddddaaaddddddddddddddddddddc dddddbbaaagbbbbddddddddaaaddddddddddddddddddddc dddddbbbaaabbbdddddddddaaaddddddddddddddddddddc ddddddbbcaafbddddddddddaafddddddddddddddddddddc ddddddbbbaaagddddddddddaafddddddddddddddddddddc ddddddbbbbaaaddddddddddaacddddddddddddddddddddc dddddddbbbcaafdddddddddaacddddddddddddddddddddc dddddddbbddaaagdddddddgaagddddddddddddddddddddc ddddddddddddaaadddddddcaadddddddddddddddddddddc ddddddddddddfaafddddddfaadddddddddddddddddddddc dddddddddddddaaagdddddfaadddddddddddddddddddddc ddddddddddddddaaadddddaaadddddddddddddddddddddc ddddddddddddddfaafddddaaadddddddddddddddddddddc dddddddddddddddaaagdddaaadddddddddddddddddddddc ddddddddddddddddaaadddaaadddddddddddddddddddddc ddddddddddddddddfaafddaafdddddddddddddddddddddc cccccccccccccccccaaaccaafcccccccccccccccccccccg eaaa aab caafaae aaaaa eaaaa caaa aaa ad ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#58886dff b,#bcfdcdff c,#a3c3b0ff d,#c3d4caff e,#dff7e5ff f,#719c83ff g,#8bae9aff ``` ```image ebbbe ebbbb ebbbbbe ebbbbbbe ebbbbbbb ebbbbbbbe ebbbbbbbbe ebbbebbbbbe ebbb bbbbb ebbb bbbbe ebbb ebbbbe ebbb bbbbb ebbb bbbbbe ebbb bbbbb ebbb ebbbb ebbb bbbbbe eeedddcc ebbb bbbbcccgggffaaaaaaaaaa ebbb ebbaaaaaaaaaaaaaaaaaaa ebbb ebaaaaaaaaaaaaaaaaaaa ebbb eaaaaaaaaaaaaaaaffgg ebbb caaaggccdddee ebbb gaaabbb ebbb eaaaabbbb ebbb daaaabbbbe ebbb gaaagbbbbb ebbb eaaaae bbbbbb ebbb daaaa bbbbb ebbb gaaag ebbbbe ebbb faaac ebbbb ebbb daaaa bbbbbe bbbb caaaf bbbbbe bbbb faaac ebbbbb bbbb aaaa bbbbe bbbb aaaa bbbbbe bbbb aaaa ebbbbb bbbb aaaa ebbbbb bbbb caaaf bbbbe bbbb gaaag ebbbbe bbbb aaaad bbbbb bbbb daaaf bbbb bbbb gaaag bbb bbbb faaad ebb bbbb daaaa bb bbbb gaaag b bbbb faaac e bbbb aaaae bbbb aaag bbbb aaac bbbb aaad bbbb caaa bbbb faaa bbbb aaaa bbbb daaaa bbbb gaaac bbbb aaaad bbbb eaaaae bbbb gaaag bbbb aaaad bbbbeaaaae bbbbgaaag bbbbfaaac bbbbaaaae bbbbaaaa bbbbaaaa bbbbaaaa bbbcaaaa bbbfaaac bbbaaaad bbcaaaa bbbgaaaf bbbbaaaad ebbbcaaaae ebbbbcaaaf ebbbbbeaaaad e bbbbbe aaaae ega ebbbbb aaaf aaaac bbbbbb aaad aaaaad bbbbbb eaaae caaaaf bbbbb daaa efaaaac bbbbb gaaa ecaaaa ebbbbb eaaaa bfaaac ebbbbbe eaaaa bbaaaae bbbbbe daaaf bfaaaac ebbbbb caaag ebaaaaae ebbbbbb caaag ebcaaaaf bbbbbb gaaac bbfaaaa bbbbb gaaac bbbaaaaf bbbbb aaaad bbbfaaaac bbbbbb aaaae ebbbaaaaaebbbbbbe eaaaae bbbbfaaaabbbbe daaaa ebbbbaaaabbbb daaaf bbbbcaaafbbe caaaf ebbbbaaaaae gaaac bbbbgaaaaf gaaac bbbbbfaaaad faaad bbbbbbaaaaa faaad ebbbbe aaaad aaaae bbbe aaaaae aaaa ee caaaag aaaa eaaaaa aaaf caaaa aaag faaad aaag eaaaae aaac faaaad aaad eaaaaae aaad caaaag aaae eaaaae eaaa aaaag daaa faaaad daaa caaaag caaa faaaa gaaa ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Moving on to the next area. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#58886dff b,#bcfecdff c,#9dbaaaff d,#c8d7ceff e,#d1feddff f,#759c86ff g,#e9fbeeff ``` ```image aaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaaaaaaaaaaffd aaaaaffffcccccdddddggg gg ge ebbg gbbbbb ebbbbbbe gebbbbbbbb gbbbbbbbbe ebbbbbbbbg gbbbbbbbbe ebbbbbbbbg gbbbbbbbbe ebbbbbbbbe ebbbbbbbbg gbbbbbbbbe ebbbbbbbbg gbbbbbbbbe ebbbbbbbbg gebbbbbbbbg gbbbbbbbbe bbbbbbbbg bbbbbbe ``` <!-- end of image --> This close-up reveals that there are no intersections in area B. Answer: A: 2; B: 0; 2 + 0 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#58886dff b,#bcfdcdff c,#98b9a6ff d,#bbd1c4ff e,#d7f7e0ff f,#78a08aff g,#ecfbf0ff ``` ```image bbe bbbg bbbb bbbbb bbbbbe bbebbbg bbe bbb bbe gbbb bbe ebbb bbe bbbg geeddccffaaaaa bbe bbb geeddccffaaaaaaaaaaaaaaaaaaaaaaaaa bbe bbcccffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf bbe efaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffccddeg bbe aaaaaaaaaaffccddeeg bbe aafbg bbe eaadbb bbe caagbbb g bbe aaa bbbe bbb bbe aaf bbbg gbbbb bbe gaae bbb ebbbb bbe caa gbbb bbbbg bbe aaa ebbb ebbbb bbg aaf bbbg bbbbe bbg aad bbb gbbbb bbg daa bbb bbbbb bbg aaa ebbb bbbbg bbg aaa bbbe ebbbb bbg aad bbbg bbbbe bbg daa bbb gbbbb bbg faa gbbb bbbbe bbg aaa bbbe gbbbbg bbg aac bbbg ebbbb bbg daag bbb bbbbg bbg faa gbbb ebbbb bbg aaa ebbb bbbbe bbg aac bbbe gbbbb bbgeaag bbbbbbbb bbgfaa bbbbbg bbgaaa ebbb bbgaac gg bbeaae bbcaa bbaaa bbaaf gbbaad bbcaa ebbaaa ebbbaaf ebbb aad fd gbbb daa aaa gbbb aaa daaf bbbg aaa aaae bbbg aad baaa bbbe eaa ecaaf bbbe daa baaae bbbe caa bbaaa bbbb faa gbcaaf bbbb aaa bbaaaeebbb aaa ebbaaabbb aaa bbcaafb aaf bbbaaae aac ebbbaaa aad bbbcaaf aae bbg aaag eaag aaa daa caaf caa aaag caa aaa faa caac aaa aaag aaa aaa aaf caac aac aaag aad gaaa aad caafaag aaaaa gaaaa caaa aaa ad ``` <!-- end of image -->
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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,#815dc6ff b,#ec5246ff c,#9e91c8ff d,#d99281ff e,#eeeeedff f,#b1d7b1ff g,#96c996ff ``` ```image c ea ae ac ca ea ae ac ca ea ae ac ca ea ae ac ca ea ae aa ca ea ac aa ca eb eae dbd ac ebb aa bbd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecaeeeeee ebb egffffffffffffffffffffffffffffffffffffffffgagffffffg bbe efffffffffffffffffffffffffffffffffffffffffacfffffffg dbb effffffffffffffffffffffffffffffffffffffffaaffffffffg bbe efffffffffffffffffffffffffffffffffffffffcafffffffffdbd efffffffffffffffffffffffffffffffffffffffafffffffffbbe effffffffffffffffffffffffffffffffffffffacfffffffbbdg efffffffffffffffffffffffffffffffffffffaafffffffbbffg effffffffffffffffffffffffffffffffffffcaffffffbbdfffg effffffffffffffffffffffffffffffffffffafffffdbbfffffg efffffffffffffffffffffffffffffffffffacffffbbdffffffg efffffffffffffffffffffffffffffffffffafffdbbffffffffg effffffffffffffffffffffffffffffffffcaffbbffffffffffg effffffffffffffffffffffffffffffffffacdbbfffffffffffg effffffffffffffffffffffffffffffffffabbfffffffffffffg efffffffffffffffffffffffffffffffffbadffffffffffffffg effffffffffffffffffffffffffffffffbdafffffffffffffffg effffffffffffffffffffffffffffffbbdacfffffffffffffffg effffffffffffffffffffffffffffdbbffaffffffffffffffffg ae efffffffffffffffffffffffffffbbdfffaffffffffffffffffg caac efffffffffffffffffffffffffdbbffffcaffffffffffffffffg eaaae effffffffffffffffffffffffbbffffffafffffffffffffffffg caac effffffffffffffffffffffdbbfffffffafffffffffffffffffg eaaae efffffffffffffffffffffbbffffffffcafffffffffffffffffg caac efffffffffffffffffffbbdfffffffffacfffffffffffffffffg eaaacfffffffffffffffffbbfffffffffffaffffffffffffffffffg caaafffffffffffffbbdffffffffffffaffffffffffffffffffg effaaacffffffffdbbfffffffffffffcaffffffffffffffffffg effffcaaafffffbbdffffffffffffffacffffffffffffffffffg efffffffcaacfbbffffffffffffffffafffffffffffffffffffg efffffffffcaaafffffffffffffffffafffffffffffffffffffg efffffffffbbfcaacfffffffffffffacfffffffffffffffffffg efffffffdbdfffffaaafffffffffffaffffffffffffffffffffg effffffbbfffffffffcaacffffffffaffffffffffffffffffffg effffdbbfffffffffffffaaafffffcaffffffffffffffffffffg efffbbdffffffffffffffffcaacffacffffffffffffffffffffg effbbfffffffffffffffffffffaaaafffffffffffffffffffffg edbdffffffffffffffffffffffffcafffffffffffffffffffffg bbfffffffffffffffffffffffffffffffffffffffffffffffffg dbdffffffffffffffffffffffffffffffffffffffffffffffffffg bbeeffffffffffffffffffffffffffffffffffffffffffffffffffg ebb effffffffffffffffffffffffffffffffffffffffffffffffffg dbd effffffffffffffffffffffffffffffffffffffffffffffffffg bb effffffffffffffffffffffffffffffffffffffffffffffffffg dbd effffffffffffffffffffffffffffffffffffffffffffffffffg bbe ggggggggggggggggggggggggggggggggggggggggggggggggggf ebb bbe bb b db be ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#825cc7ff b,#ee5045ff c,#c5b3e4ff d,#f17e78ff e,#efdde8ff f,#a285d5ff g,#f7b3aeff ``` ```image eaaf eaaae faae caac eaaf aaae faac caac eaaf g aaae edb faac gbbb caaf edbbbd eaaf gbbbbe aaae edbbbg faac gbbbde caaf edbbbg eaaf dbbbde aaae gbbbbg faac edbbbde eaaf gbbbbg caa edbbbd faf gbbbbe aac edbbbg caae gbbbde faa ebbbbg aaf dbbbde eaacbbbbg caabbbde faabbg edaaad gbbaac edbbdaa gbbbdfaf ebbbbgeaac dbbbde caae gbbbbg faa edbbbde aaf gbbbbg eaac edbbbd caa gbbbbe faf edbbbg aac gbbbde eaae ebbbbg caa dbbbde faf gbbbbg eaac edbbbde caae gbbbbg faa edbbbd aaf gbbbbe eaac fc edbbbg caa aaafe gbbbde faf faaaafc ebbbbg aac efaaaaafe dbbbde caae cfaaaaace gbbbbg faa ecaaaaafe edbbbde aaf cfaaaaace gbbbbg eaac ecaaaaafc dbbbd caae cfaaaaaceebbbbe faf ecaaaaaabbd aac cfaaaaace eaae gbbdaaaaafc caa dbbbg efaaaaafe faf ebbbbe caaaaafc aac gbbbd efaaaaafe caae edbbbg cfaaaafc faa gbbbde efaaaaafe aaf edbbbg cfaaaafc eaac gbbbde efaaaaafe caa dbbbd cfaaaaace faf ebbbbg ecaaaaafe aac gbbbde cfaaaaaceeaae edbbbg ecaaaaaaaa gbbbde cfaaaaf dbbbg ecaae bbbbe bbd bg e ``` <!-- end of image --> I can confirm that 2 intersections exists in area A. Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#825cc7ff b,#ef5146ff c,#c6b5e5ff d,#f3867eff e,#eedeeaff f,#a488d6ff g,#f8b9b4ff ``` ```image f ca ae af fa ca ae af fa ea ae af fa ea ac af fa ea ac aa fa ea ac aa fa b ea dbd ac ebb aa bbg ca gbb eae bbg ac gbb aa bbe ca dbd ae ebbe af dbd aa ebb ca bbg ae gbb af bbg a gbb ca bbe afdbd abbe dad ebaa bbgac gbb a ae bbg ea caaf gbb ff eaaac bbe ae caaf dbd a eaaac ebbe ca caaf dbd af faac ebb a caaa bbg a faac gbb fa caaae bbg ac faacebb a caaae ea bb faaf ff dbd eaaae ae bbe faaf a gbb eaaae ca bbg faaf ac ebb eaaaa dbd ca bb gbd bbe ebb dbg bb gbd bbe ebb dbg bb b db be ``` <!-- end of image -->
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Let's examine this image for potential line intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#8ba9c8ff b,#9c5074ff c,#eaf0efff d,#a98892ff e,#a0cba0ff f,#b2d7b2ff g,#5e7ecfff ``` ```image ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeee cefffffffffffffffffffffffffffffffgggffffffffffffffffffffffffe ceffffffffffffffffffffffffffffffagggffffffffffffffffffffffffe ceffffffffffffffffffffffffffffffggegafffffffffffffffffffffffe cefffffffffffffffffffffffffffffggefggfffffffffffffffffffffffe ceffffffffffffffffffffffffffffaggffagaffffffffffffffffffffffe ceffffffffffffffffffffffffffffggffffggffffffffffffffffffffffe cefffffffffffffffffffffffffffggeffffagafffffffffffffffffffffe ceffffffffffffffffffffffffffaggffffffggfffffffffffffffffffffe ceffffffffffffffffffffffffffggfffffffagfffffffffffffffffffffe cefffffffffffffffffffffffffggeffffffffggffffffffffffffffffffebc ceffffffffffffffffffffffffaggfffffffffggffffffffffffffffffffbbc cefffffffffffffffffffffffeggfffffffffffggffffffffffffffffffebb ceffffffffffffffffffffffdggafffffffffffggffffffffffffffffffbb cefffffffffffffffffffffdbggfffffffffffffgaffffffffffffffffdbd ceffffffffffffffffffffdbggbeffffffffffffggffffffffffffffffbbe cefffffffffffffffffffdbggabeffffffffffffagaffffffffffffffbbfe ceffffffffffffffffffdbbggebefffffffffffffggfffffffffffffdbdfe cefffffffffffffffffdbbggfebefffffffffffffagaffffffffffffbbffe ceffffffffffffffffbbbggafebeffffffffffffffggfffffffffffbbeffe cefffffffffffffffbbbeggffebeffffffffffffffagefffffffffdbbfffe ceffffffffffffffbbbfggfffebefffffffffffffffggfffffffffbbffffe cefffffffffffffbbbfggafffebdfffffffffffffffggffffffffbbeffffe ceffffffffffffbbbfeggffffebdffffffffffffffffggffffffebbfffffe cefffffffffffbbdffggffffffbdffffffffffffffffggffffffbbffffffe ceffffffffffbbdffggaffffffbdfffffffffffffffffggffffdbdffffffe cefffffffffbbdfffggfffffffbdfffffffffffffffffggffffbbfffffffe ceffffffffbbdfffggffffffffbdfffffffffffffffffegaffbbffffffffe cefffffffbbdfffggaffffffffbdffffffffffffffffffggfdbdffffffffe ceffffffbbdffffggfffffffffbdffffffffffffffffffagabbfffffffffe cefffffbbeffffggffffffffffbdfffffffffffffffffffggbffffffffffe ceffffbbeffffagaffffffffffbdfffffffffffffffffffggdffffffffffe cefffbbefffffggfffffffffffbdfffffffffffffffffffbggffffffffffe cefebbefffffggffffffffffffbdffffffffffffffffffbbggffffffffffe ceebbffffffagaffffffffffffbdfffffffffffffffffebbfggfffffffffe cebbfffffffggfffffffffffffbdfffffffffffffffffbbffggfffffffffe fbbfffffffggffffffffffffffbdffffffffffffffffbbefffggffffffffe fbbfffffffagaffffffffffffffbbfffffffffffffffebbffffggffffffffe fbbefffffffggfffffffffffffffbbfffffffffffffffbbfffffegafffffffe dbbceffffffggffffffffffffffffbbffffffffffffffdbdffffffggfffffffe dbb cefffffagaffffffffffffffffbbffffffffffffffbbfffffffagaffffffe dbb cefffffggfffffffffffffffffbbfffffffffffffbbfffffffffggffffffe dbb ceffffggffffffffffffffffffbbffffffffffffdbdfffffffffagafffffe dbb cefffagaffffffffffffffffffbbffffffffffffbbfffffffffffggfffffe bbb cefffggfffffffffffffffffffbbfffffffffffbbefffffffffffagfffffe bbb eeeggeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeedbbeeeeeeeeeeeeeggeeeee bbd aga bb bb gg bbd gg bb bbc gg bbd ggc bb cbb gg bbd aga bb bb cga bbd gg bb dbf gg bbf ggc bb cbb cga bbf aga bb bb gg bbf gg bb dbd agc bbc ggc bb bb gg bc aga bb bbc agc gg bb fbd gg ggc bb bb gg fga bb bbc gg gg bb cbb gg ggc bb bb cga cga bbdbc c gg bbbb ggc bbb cga bbf gg fb ggc cgg gg ggc cgg gg ggc cgg gg ggc cgg gg ggc cgg c ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#849cdbff b,#9c4f74ff c,#e2ddeaff d,#b47a96ff e,#b1c0e7ff f,#cea9bbff g,#5d7ccfff ``` ```image eg egge cggga aggggc eggggga ggggaggc agggecgga ggggc ggge aggge aggg eggga eggge ggggc gggg aggge eggge cggga ggga ggggc egggc aggge ggga cggga agggc ggggc cggga aggge agggc cggga cggge ggggc aggg aggge cggge cggga aggg cggggc eggge gggge gggg c fbgggc ggga fb fbgggg egggc bb fbbgggbc cggga dbb fbbgggbbc agggc cbbb fbbggggbbc cggga bbbb fbbbgggbbbc aggg fbbbf fbbbggggbbbc cggge cbbbb dbbbggggabbbc aggg dbbbc dbbbbgggg bbbc eggge fbbbd dbbbbggggc bbbc gggg cbbbb dbbbbaggga bbbc eggge dbbbf dbbbbegggg bbbc ggga fbbbd dbbbbcagggc bbbc egggc bbbbc dbbbbceggga bbbc cggga bbbf cdbbbbccgggg bbbc agggc fbbd cdbbbbc aggge bbbc cggga bbbc cbbbbbc eggga bbbc aggg dbbf cbbbdc aggge bbbf agg bbbc cbbbd eggga bbbf egge fbbb cbbbd cgggg bbbf ggg cbbbb cbbbd aggge bbbf egge dbbbc cbbbb eggga bbbf gga fbbbd fbbbbd cggggc bbbf eggc cbbbbc fbbbbd aggge bbbf gga dbbbf fbbbbd eggga bbbf gggc fbbbd fbbbbf cggggc bbbf ggga cbbbbc fbbbbf aggge bbbf agggc dbbbf fbbbbf eggga bbbf cggge cbbbd fbbbbf ggggc bbbf aggg bbbbc fbbbbf ggge bbbf eggge fbbbf dbbbbf egga bbbf gggg cbbbb dbbbbf cgggc bbbf egggedbbbc dbbbbf agge bbbf ggggbbbd dbbbbc egga bbbf egggbbb dbbbbc cgggc bbbf ggggbf bbbbc eggga bbbd cbggga cdbbbc ggggc dbbd dbggggc cbbbbc aggge dbbd fbbbggga cbbbbc eggga dbbd bbbbaggg cbbbbc ggggc dbbd dbbbfcggge cbbbbd aggge dbbd cbbbd aggg cbbbbd eggga dbbd bbbbc eggge cbbbbd ggggc dbbd bbbf gggg cbbbbd aggge dbbd cbbb eggge bbbbd eggga dbbd dbbc ggga bbbd ggggc dbbd fbbd egggc bbd aggge dbbd cbbbc cggga bd cggga dbbd dbbf agggc f ggggc dbbd fbbb cggga aggge dbbd cbbbb agggc cggga dbbd dbbbf cggge ggggc dbbd cbbbd aggg cggga fbbb fbbbf gggg ggggc fbbb cbbbb eggge aggge fbbb dbbbc ggga cgggg fbbb fbbbd egggc ggggc fbbb cbbbb ggga ggge fbbb dbbbf aggg cggg fbbb fbbbd cggg gggc fbbb cbbbbc aggc egga fbbb dbbbf cgge ``` <!-- end of image --> Oh my, look at that! It's 2 intersections in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8199d9ff b,#9c4f74ff c,#e3dfebff d,#b57c97ff e,#b3c1e8ff f,#d3b2c2ff g,#5d7dd0ff ``` ```image g gga eggg ggcga ggc gg ega ege gg gg ggc egc cga gg gg agc ggc gg bc cga ag dbf cgg ga cbb fggc gg bb fbggc cga dbf fbggbc gg bb dbggebc cge bb dbbggfbc gg fbd dbbgg cbc ege bb dbbage cbc gg bbc dbbcgg cbc agc fbd bbb gg cbf gg bb bbd age cbf ag bbc bbd cgg cbf gg cbb bbd gg cbf gg bb bbd age bf ga dbf bbd cgg bf gg cbb bbf gg bf cge bb bbf age bf gg dbf bbf cgg bf egebb bbf gg bf ggb bbc age bd agd cbbc cgg bd bgg cbbc gg bd bbag cbbc age bd cbd gg cbb gg bd bb gg fbb gg bd dbf ga fbb age bd cbb gg fbb gg bd bb cga fbb gg bd dbf gg dbb age bb bb ege dbb gg bb bb gg dbb gg bb fbd egc dbb ege bb bb gg dbb gg bb bbc agc bbb gg bb fbd gg bbd ega bb bb ag bbd gg bb bbc ga bbd gg bb cbb gg bbd ega bb bb cga bbf gg bb dbf gg bbf gg bb cbb cge bbf ega bb bb gg bbf gg bb dbf ege bbc ggc bb bb gg bc ega bb bb agc gg bb fbd gg ggc bb bb ag ega bb bbc gg gg bb cbd gg ggc bb bb cga ega bbdbf c gg bbbb ggc bbb ega bbf gg fb ggc ega gg ggc cga gg ggc cgg gg agc cgg gg agc cgg e ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#6de169ff b,#a28b69ff c,#eef6edff d,#39e234ff e,#b2d8b2ff f,#a8cea4ff g,#96cd93ff ``` ```image c b b bc ef b b bc ef b b bc ef b b bc ef b b cgggggggggggggggggggggggggggggggggggggggggggggbgc cfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbfc cfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebefc cfeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeebeefc c cfeeeeeeeeeeeeeeeeeeeeeeeeeegddeeeeeeeeeeeebfeefc ebc cfeeeeeeeeeeeeeeeeeeeeeeeeefdeaaeeeeeeeeeefbeeefc fbc cfeeeeeeeeeeeeeeeeeeeeeeeefdeeedeeeeeeeeeebeeeefc bb cfeeeeeeeeeeeeeeeeeeeeeeeedeeeegaeeeeeeeebeeeeefc cbf cfeeeeeeeeeeeeeeeeeeeeeeedeeeeeedeeeeeeebfeeeeefc cbe cfeeeeeeeeeeeeeeeeeeeeeedeeeeeeefdeeeeefbeeeeeefc ebc cfeeeeeeeeeeeeeeeeeeeeedeeeeeeeeedeeeeebeeeeeeefc fbc cfeeeeeeeeeeeeeeeeeeeedfeeeeeeeeeedeeebeeeeeeeefc bb cfeeeeeeeeeeeeeeeeeeedfeeeeeeeeeeedfebfeeeeeeeefc bb cfeeeeeeeeeeeeeeeeeedgeeeeeeeeeeeeedfbeeeeeeeeefc cbfcfeeeeeeeeeeeeeeeeedgeeeeeeeeeeeeeeabeeeeeeeeeefc cbgeeeeeeeeeeeeeeeedgeeeeeeeeeeeeeeebdeeeeeeeeeefc cgbfeeeeeeeeeeeeedaeeeeeeeeeeeeeeebfageeeeeeeeefc cfebbeeeeeeeeeeedaeeeeeeeeeeeeeeefbeedeeeeeeeeefc cfeeebbeeeeeeeeaaeeeeeeeeeeeeeeeebeeeaaeeeeeeeefc cfeeeeebbeeeeeaaeeeeeeeeeeeeeeeebeeeeedeeeeeeeefc cfeeeeeefbgeeadeeeeeeeeeeeeeeeebfeeeeegaeeeeeeefc cfeeeeeeeefbadeeeeeeeeeeeeeeeefbeeeeeeedeeeeeeefc cfeeeeeeeeegdbfeeeeeeeeeeeeeeebeeeeeeeefdeeeeeefc cfeeeeeeeegdeebbeeeeeeeeeeeeebeeeeeeeeeedeeeeeefc cfeeeeeeegdeeeeebbeeeeeeeeeebfeeeeeeeeeeedeeeeefc cfeeeeeefdeeeeeeefbbeeeeeeefbeeeeeeeeeeeedfeeeefc cfeeeeefdeeeeeeeeeefbgeeeeebeeeeeeeeeeeeeedeeeefc cfeeeeedeeeeeeeeeeeeegbfeebeeeeeeeeeeeeeeeageeefc cfeeeedeeeeeeeeeeeeeeeebbbfeeeeeeeeeeeeeeeedeeefc cfeeedeeeeeeeeeeeeeeeeeeegeeeeeeeeeeeeeeeeeageefc cfeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedeefc cfedfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaefc cfdfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedefc cdgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegafc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedfc defeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefdc aecffffffffffffffffffffffffffffffffffffffffffffffdc ag cccccccccccccccccccccccccccccccccccccccccccccccd aa dc ga d ea ac ed d ed ae cd d cd ee cd d cd eg d d d ca d d dc cd dc dc dc d dc ac de d ae d fe d eg d ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#6be966ff b,#a28765ff c,#dbedd4ff d,#3ae335ff e,#b5a086ff f,#cdbdacff g,#a0f19dff ``` ```image cb eb fbf cbe cbb ebc fbf cdc cbe cddd cbb cddadg ebc cddc dd fbf cddc gdg cbe cddg ad cbb ddg cdg ebc adg adc fbf adg cda cbe adg adc bb adg cda ebc ada adc fbf ada cda cbe gda gdg bb gda dd ebc gda gdg fbf gda dd cbe gdd gdg bb cddc dd ebc cddc cdg fbf cddc adccbe cddc cdabb cddc adbc cddc eda bf cddc cbadc bbec ddg bbcda fbbec adg ebc gdg fbbe adg fbf dd cebbf adg cbe gdg cebbf adg bb dd cebbc adg ebc gdg fbbec ada fbf dd fbbec gda cbe gdg fbbf gda bb adc cebbf gda ebc cda cebbf gda fbf adc cbbegda cbe cda fbddc bb adc cddbbec ebc cda cddccebbf fbf gdc cddc cebbf cbe dd cddc cebbf bb gdg cddc fbbec ebc dd cddc fbbec fbf gdg cddc fbbf cbe dd ddg cebbf bb gdg adg cebbf ebc adc adg cbbec fbf cda adg fbbec cbe adc adg fbbec bb cda ada ebbfebc adc ada cebbf cda gda cf gdc gda da gda gdg gda dd gda gdg cddc dd cddc gdg cddc adc cddc cda ddc adc dc cda c ad cd g ``` <!-- end of image --> I observe 2 intersections inside area A. Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#61e85dff b,#a18563ff c,#d0f8cfff d,#37e332ff e,#b7a288ff f,#e0d7ccff g,#96ef93ff ``` ```image f b b ef fe b b ef fe b b ef fe b b ef fe b b ef fe b cc b cdd ef fbf cd gg fe eb d d b bb d ca b be d d ef fbf d ca fe fbf d d b eb d d b eb d a ef be dc dfe be dc ab fbf dc bd fbf ag efgc eb ag fe d eb ag b gg be ga b d fbf ga ef cg fbga fe d cdb b ca cd eb b d cd be ef d d be fe a d fbf b d d fbf b ac d ebef d d f gc d d d gg dc d dc cg dc d ac ca ag d ag d gg d ga d ga ac ca d cd gc cd d cd gg d d d cg d d d ca d d d a d d dc d dc ac dc d gc d gg d cg d ``` <!-- end of image -->
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This image seems promising for intersection detection. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#6784d6ff b,#2d0c41ff c,#8ca9caff d,#cbd3edff e,#b1d7b1ff f,#95c796ff g,#645e76ff ``` ```image d aaa eaaafffffffffffffffffffffffffffffffe fcaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feaaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef feaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fecaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fbbbaceeeeeeeeeeeeeeeeeeeeeeeeeeeeef fbbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fgbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fgbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef fgbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ffbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ffbbgaceeeeeeeeeeeeeeeeeeeeeeeeeeeef febbgaceeeeeeeeeeeeeeeeeeeeeeeeeeeef febbgaaeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaa febbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaa febbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaa febbbaaeeeeeeeeeeeeeeeeeeeeeeeeeeeef aac febbbaaceeeeeeeeeeeeeeeeeeeeeeeeeeef aad febbbaaceeeeeeeeeeeeeeeeeeeeeeeeeeef daad febbbaaaeeeeeeeeeeeeeeeeeeeeeeeeeeef caa febbbaaaeeeeeeeeeeeeeeeeeeeeeeeeeeef ac aaa febbbaaaeeeeeeeeeeeeeeeeeeeeeeeeeeef aaad aaa fegbbcaaeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa aaa fegbbcaaceeeeeeeeeeeeeeeeeeeeeeeeeef aaaaac aac fegbbfaaceeeeeeeeeeeeeeeeeeeeeeeeeef aaaaaa daad fefbbfaaaeeeeeeeeeeeeeeeeeeeeeeeeeef aaaddaaa caa fefbbgaaaeeeeeeeeeeeeeeeeeeeeeeeeeef aaa aaac aaa feebbgaaaeeeeeeeeeeeeeeeeeeeeeeeeeef aaad aaa aaa feebbgcaaeeeeeeeeeeeeeeeeeeeeeeeeeef aaa daaa aaa feebbbcaaceeeeeeeeeeeeeeeeeeeeeeeeefaaad aaad aac feebbbeaaceeeeeeeeeeeeeeeeeeeeeeeeefaaa aaa daad feebbbeaaaeeeeeeeeeeeeeeeeeeeeeeeeeaaad caaa daa feebbbeaaaeeeeeeeeeeeeeeeeeeeeeeeeeaaa aaad aaa feebbbeaaaeeeeeeeeeeeeeeeeeeeeeeeeaaad daaa aaa feebbbecaaeeeeeeeeeeeeeeeeeeeeeeeeaaa aaac aaa feebbbecaaceeeeeeeeeeeeeeeeeeeeeeaaad aaa aaa feebbbeeaaceeeeeeeeeeeeeeeeeeeeeeaaa daaa aad feegbbeeaaaeeeeeeeeeeeeeeeeeeeeeaaac aaad daad feegbbeeaaaeeeeeeeeeeeeeeeeeeeeeaaaf aaa caa feegbbfeaaaeeeeeeeeeeeeeeeeeeeeaaacf caaa aaa feefbbfecaaeeeeeeeeeeeeeeeeeeeeaaaef aaad aaa feefbbgecaaeeeeeeeeeeeeeeeeeeecaacef aaa aaa feeebbgeeaaceeeeeeeeeeeeeeeeeeaaaeef caac aac feeebbgeeaaaeeeeeeeeeeeeeeeeecaaceef aaa daad feeebbbeeaaaeeeeeeeeeeeeeeeeeaaaeeef daaa caa feeebbbeeaaaeeeeeeeeeeeeeeeecaaceeef aaad aaa feeebbbeecaaeeeeeeeeeeeeeeeeaaaeeeef aaa aaa feeebbbeecaaeeeeeeeeeeeeeeecaaceeeef caaa aaa feeebbbeeeaaceeeeeeeeeeeeeeaaaeeeeef aaad aac feeebbbeeeaaaeeeeeeeeeeeeecaaceeeeef aaa daad feeebbbeeeaaaeeeeeeeeeeeeeaaaeeeeeef caac daa feeebbbfeeaaaeeeeeeeeeeeecaaceeeeeef aaa caa feeegbbbbbgaaeeeeeeeeeeeeaaaeeeeeeef daaa aaa feeeebbbbbbbbgeeeeeeeeeecaaceeeeeeef aaad aaa feeeeeegbbbbbbbbbfeeeeeeaaaeeeeeeeef aaa aaa feeeeeeeeegbbbbbbbbbgeecaaceeeeeeeef daaa aad feeeeeeeeeeaaabbbbbbbbbgaaeeeeeeeeef aaaffffffffcaaffe feeeeeeeeeeaaaeeegbbbbbbbbgfeeeeeeef daaaeeeeeeecaaeef feeeeeeeeeeaaaeeeeeegbbbbbbbbbfeeeef aaaaeeeeeeaaaeef feeeeeeeeeecaaeeeeeeecaabbbbbbbbbgef eaaaeeeeeeaaaeef feeeeeeeeeeeaaceeeeeeaaaeeegbbbbbbbbg eeaaaeeeeeaaaeef feeeeeeeeeeeaaaeeeeecaaaeeeeeegbbbbbbbbbe eeaaaceeeeaaceef feeeeeeeeeeeaaaeeeeeaaaeeeeeeeeeefbbbbbbbbbc eeeaaaeeecaaceef feeeeeeeeeeeaaaeeeecaaaeeeeeeeeeeeefdgbbbbbbbbg eeecaaaeecaaeeef feeeeeeeeeeeaaaeeeeaaaeeeeeeeeeeeeef gbbbbbbbbgd eeeeaaaceaaaeeef feeeeeeeeeeecaaeeecaaaeeeeeeeeeeeeef cbbbbbbbbbc eeeeeaaaeaaaeeef feeeeeeeeeeeeaaceeaaaeeeeeeeeeeeeeef dgbbbbbbbbg eeeeecaaaaaaeeef feeeeeeeeeeeeaaaecaaaeeeeeeeeeeeeeef gbbbbbbbbgd eeeeeeaaaaaceeef feeeeeeeeeeeeaaaeaaaeeeeeeeeeeeeeeef cbbbbbbbbbgeeeeeeaaaaceeef feeeeeeeeeeeeaaaeaaaeeeeeeeeeeeeeeef dgbbbbbbbbgeeeaaaaeeeef feeeeeeeeeeeeaaaaaaeeeeeeeeeeeeeeeef gbbbbbbbbgfaaaeeeef feeeeeeeeeeeecaaaaaeeeeeeeeeeeeeeeef gbbbbbbbbbgeeeef efffffffffffffaaaafffffffffffffffffe eeefbbbbbbbbbgef aaaa eeeeeefgbbbbbbbbg aaa eeeeeeeeeegbbbbbbbbb aaa feeeeeeeeeeeegbbbbbb d dgbb ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#6784d7ff b,#2c0b40ff c,#7a6b91ff d,#98ace3ff e,#ccd2eaff f,#aea2b6ff g,#503969ff ``` ```image aaaad daaaa eaaaa eaaaae aaaad daaad daaaa eaaaa aaaa aaaa daaa daaa ggbbgae bbbbgad gbbbgad gbbbgaa cbbbbaae cbbbbaae cbbbbaad fbbbbaaa fbbbbcaa ebbbbcaae ebbbbgaad bbbbgaad bbbbgaaa gbbbgaaa gbbbgaaa cbbbbaaa cbbbbaaa cbbbbaaa fbbbbaaae fbbbbaaad ebbbbaaad ebbbbaaaa bbbbaaaae bbbbaaaae gbbbaaaad gbbbdaaaa gbbbdaaaa cbbbeaaaae cbbbeaaaad fbbbeaaaad fbbbedaaaa ebbbfeaaaa ebbbfeaaaa bbbc aaaa bbbc daaa bbbg eaaa bbbg eaaae bbbg aaae bbbb aaad bbbb aaaa bbbbe aaaa e bbbbe aaaae a bbbbf aaaad a bbbbf aaaad ea bbbbc daaaa eaa bbbbc eaaaae aaa bbbbc eaaaae eaaa gbbbg aaaad aaaa gbbbg daaaa aaaa cbbbb daaaa eaaaa cbbbb eaaaa eaaaa fbbbbe aaaa daaaa fbbbbe aaaa eaaaaa ebbbbf daaa aaaaa ebbbbf eaaae aaaae bbbbc aaad daaae bbbbc aaad eaaaa bbbbc aaaa daaaa gbbbg aaaae daaaad gbbbg aaaae aaaaa cbbbb aaaad aaaad cbbbb daaaa daaad fbbbb daaaa aaaa fbbbb eaaaae daaaa ebbbb aaaad daaaad ebbbb aaaad aaaaa ebbbb daaaa aaaad bbbb eaaaa daaad bbbb eaaaa aaaa gbbbe aaaa daaaa gbbbbbbbgcaaa daaaad cbbbbbbbbbbga aaaaae bbbbbbbbbbbbcf aaaad cgbbbbbbbbbbbbge daaad egbbbbbbbbbbbbgf aaaae fbbbbbbbbbbbbbc eaaaa aaaacgbbbbbbbbbbbggcaad aaaae fgbbbbbbbbbbbbgce aaaad cgbbbbbbbbbbbbge daaad egbbbbbbbbbbbbbc daaaa cbbbbbbbbbbbbbgf eaaaae aaaaaefgbbbbbbbbbbbbc aaaae eaaaad fcbbbbbbbbbbb aaaad aaaaae cgbbbbbbbb daaaa aaaae efbbbb daaaa eaaad fcb eaaaa aaaae e aaaa aaaaa aaaa eaaaaa daaa daaaae eaaae aaaae eaaae eaaaa aaad daaae aaaa daaaa aaaa aaaaa aaaae aaaae aaaaddaaae aaaaaaaaa daaaaaaae eaaaaaaa ``` <!-- end of image --> Yes! I knew it! There's 2 intersections right here in area A! Let's continue our search in the next region. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#6784d6ff b,#2c0c40ff c,#9e8fa7ff d,#b5c0e5ff e,#dde1f1ff f,#8ca2e0ff g,#5e4872ff ``` ```image aaaaaae daaaaae faaaaaa daaaaa aaaaaad faaaaa daaaaaae aaaaaf faaaaaf aaaaad eaaaaaad eaaaaad daaaaaae daaaaae faaaaaf daaaaae eaaaaaae faaaaa daaaaaa faaaaf aaaaaad aaaaaf eaaaaaae eaaaaad faaaaaf eaaaaae eaaaaaad daaaaae daaaaaae faaaaa faaaaaf faaaaf eaaaaaad aaaaaf daaaaaa aaaaad aaaaaaf eaaaaad eaaaaaaedaaaaae faaaaafdaaaaa aaaaaaaaaaaa daaaaaaaaaaf faaaaaaaaad bgce eaaaaaaaaad bbbbgce daaaaaaaae bbbbbbbgcd aaaaaaaae bbbbbbbbbbbgd eaaaaaaa bbbbbbbbbbbbbbgcefaaaaaf gbbbbbbbbbbbbbbbbggaaaad ecgbbbbbbbbbbbbbbbbbgae ecgbbbbbbbbbbbbbbbbbgce dcbbbbbbbbbbbbbbbbbgce ecgbbbbbbbbbbbbbbbbb ecgbbbbbbbbbbbbbb dgbbbbbbbbbbb dcgbbbbbbb ecgbbbb ``` <!-- end of image --> It's a shame, but area B doesn't contain an intersection. Answer: A: 2; B: 0; 2 + 0 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#6784d6ff b,#2c0b40ff c,#9686a0ff d,#b1bbe2ff e,#d7dcefff f,#869ddfff g,#5d4773ff ``` ```image e aaa faa daae eaad aaf aaa aaa faa daae bbbad gbbaf gbbaa cbbaa cbbaa dbbaa ebbgad bbgaf bbgaa faa bbbaa aaa bbbaa aaa bbbaa aaf bbbaae aad bbbaaf daae bbbaaa faa bbbaaa af aaa gbbaaa aaae aaa gbbdaa aaaa aaa cbbeaae aaaaaf aad cbbeaaf aaaaaae eaae dbbdaaa aaaeeaaa daa ebbcaaa aaa aaad aaa bbcaaa aaae aaa aaa bbgdaa aaa daaa aaa bbgeaae aaae aaae aaf bbb aad aaa aaa eaad bbb aaa faae faaf daa bbb aaa aaa aaae faa bbb aaa faae eaaa aaa bbb faa aaa faaf aaa bbb eaae faae aaa aaf gbb aad aaa eaaa aad gbb aaa faae aaad daae cbb aaa aaa aaa faa cbbe aaa faad daaa aaa dbbd faa aaa aaae aaa ebbc eaae faad eaaa aaa bbc aad aaa faaf aad bbg aaa faad aaa eaae bbg aaa aaa eaaa daa bbb aaa faad aaad aaa bbb faa aaa aaa aaa bbb daae daad daaa aaa bbb aad aaa aaae aaf bbb aaf daad aaa eaad bbb aaa aaa faaf daa gbbd aaa daad aaa faa gbbbbbgaa aaa eaaa aaa bbbbbbbbg daaf aaad aaa cbbbbbbbbge aaa aaa aaf cbbbbbbbbbc daaf daaa aad aaagbbbbbbbbgaa aaae daae aaa gbbbbbbbbge aaa faa faa cbbbbbbbbbd faaf aaa daae daabbbbbbbbbc aaa aaa eaad aaa egbbbbbbbbge eaaa aaa aaf eaaf cbbbbbbbbbd aaad aad aaa aaa dbbbbbbbbbc aaa eaae aaa eaaf egbbbbbbbbg daaa daa faa aaa cbbbbbbbbge aaae aaa daa eaaf dbbbbbbbbbc aaa aaa eaad aaa egbbbbbbbbc faafaaa aaf eaaa cbbbbbbbbge aaaaaf aaa aaa cbbbbbbbbbd eaaaad aaaeaaa dgbbbbbbbbc faaa faaaaa gbbbbbbbbgeaaa daaaaa cbbbbbbbbba eaaaa dbbbbbbbbbc aaaa egbbbbbbbbge aaa cbbbbbbbbg aaa dbbbbbb e egbb ``` <!-- end of image -->
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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,#a77bbaff b,#8c7a8cff c,#9811c6ff d,#d0b8d7ff e,#b1d7b1ff f,#eff4efff g,#98c498ff ``` ```image ff abb bbb bba dbbf bbb bbb fbbd abb bbb bba dbbf bbb bbb fbbd abb bbb bbb dbbf bbb bbb bbd dbb bbb bbb dbbd bbb bbb bbd dbbf bbb bbb fbbd abb bbb bba dbbf bbb bbb fbbd abb ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbbb fgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebba feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbbf feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeebbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccccceeeeeeeeeeeeeeeeeeeeeeeeeebbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacccccccaeeeeeeeeeeeeeeeeeeeeeeebbg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecccaccccccceeeeeeeeeeeeeeeeeeeebbbg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeecccccccaeeeeeeeeeeeeeeeebbbbg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaccgeeeeeaccccccceeeeeeeeeeeebbbbbgg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeeecccccccaeeeeeeebbbbbbeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeeeeeaccccccceeebbbbbbeeeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeeeecccccccbbbbbeeeeeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeeeeeeeeeeeaccccccceeeeeeeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeeeeeeeeebbbbbcccccccaeeeeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeegbbbbbbbgeaccccccceeeg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeeeegbbbbbbbbeeeeeeecccccccag feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeeeeeeebbbbbbbbeeeeeeeeeeeeacccccccf feeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeegbbbbbbbgeeeeeeeeeeeeeeeeecccccccd feeeeeeeeeeeeeeeeeeeeeeeeeeeeeccceeegbbbbbbbgeeeeeeeeeeeeeeeeeeeeeeacccccccf feeeeeeeeeeeeeeeeeeeeeeeeeeeeecccebbbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeg cccccccd feeeeeeeeeeeeeeeeeeeeeeeeeeeeaccbbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dcccccccf feeeeeeeeeeeeeeeeeeeeeeeeeeegcccbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg cccccc feeeeeeeeeeeeeeeeeeeeeeeegbbbcccbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg dccc feeeeeeeeeeeeeeeeeeeeeebbbbbccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg d feeeeeeeeeeeeeeeeeeebbbbbbbcccceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeeeeeeegbbbbbbbaccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeeeegbbbbbbbgacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feeeeeeeeeeebbbbbbbbeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feeeeeeeebbbbbbbbgeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feeeeegbbbbbbbgeeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg feegbbbbbbbbeeeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg fbbbbbbbbeeeeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg bbbbbbbgeeeeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg abbbgeeeeeacccccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg aggggggacccccagggggggggggggggggggggggggggggggggggggggggggggggggggggge dccccca dccccca dccccca dccccca cccca fca ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a535cbff b,#8d798dff c,#980fc7ff d,#beb4bfff e,#d296e6ff f,#e6d8eaff g,#c173dcff ``` ```image fb db bb bb bb gcce bb ecccccgf fbb fccccccccccgf bbb eccccccccccccae fbbb accccccccccccccgf dbbb ccccceaccccccccccae dbbb ccccc fgccccccccccgf dbbbb fccccg fgcccccccccccf dbbbbbbb eccccf eccccccccccae dbbbbbbbbd accca fgcccccccccccg dbbbbbbbbbd fccccg eccccccccccae dbbbbbbbbbd accca eacccccccccce dbbbbbbbbbd fccccg gcccccccccccgfdbbbbbbbbbd gccccf eacccccccccccbbbbbbbd accca fcccccccccccabbbd fcccce eacccccccccccg accca fdbbbbbbbcccccccccccae fcccce dbbbbbbbbbbbbacccccccccccf gccccf dbbbbbbbbbbbbd accccccccccae acccc fdbbbbbbbbbbbbd fgcccccccccccg ccccc fdbbbbbbbbbbbdf eccccccccccae cccca dbbbbbbbbbbbbd eaccccccc fcccce fdbbbbbbbbbbbbf gcccccc gccccf fdbbbbbbbbbbbdf eaccc cccca fdbbbbbbbbbbbbd fcc gccccf fdbbbbbbbbbbbbf cccca fbbbbbbbbbbbbdf fccccgbbbbbbbbbbbbd gccccbbbbbbbbbbbdf ccccabbbbbbbbdf dbbaccccbbbbbd fdbbbbccccabbbd fdbbbbbbccccbdf dbbbbbbbbaccccf dbbbbbbbbbbccccc fdbbbbbbbbbbbaccccccc fdbbbbbbbbbbbbgccccccccg dbbbbbbbbbbbbdgccccccccaf fdbbbbbbbbbbbbfgccccccccae fdbbbbbbbbbbbbd gccccccccae dbbbbbbbbbbbbdf gccccccccae fdbbbbbbbbbbbdf ccccccccce dbbbbbbbbbbbbdf gccccccccce dbbbbbbbbbbbbd eccccccccce fdbbbbbbbbbbbdf eccccccccce fdbbbbbbbbbbbbd ecccccccccg dbbbbbbbbbbbbd accccccccc bbbbbbbbbbbbf eaccccccccg bbbbbbbbbdf eaccccccccg bbbbbd eaccccccccgf bbdf eaccccccccgf ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#af47d2ff b,#8c798cff c,#980ec6ff d,#c8bfc7ff e,#d092e5ff f,#ebe4edff g,#aa9caaff ``` ```image ff gbb bbb bbg dbbf bbb bbb fbbd gbb bbb bbg dbbf bbb bbb fbbd gbb bbb bbg dbbf bbb bbb bbd dbb bbb bbb fbbf gbb bbb bbg dbb bbb bbb fbbd gbb bbb bbg dbbf bbb bbb fbbd gbb bbb bbg dbbf ece bbb cccca bbb eccccccce fbbd cccecccccca gbb ccc facccccce fbbbb eccf ecccccca fbbbbbd ccc acccccce fbbbbbb cca ecccccca fbbbbbb eccf accccccbbbbb ccc ecccccccf cca gbbbbccccccce eccf dbbbbbbbd ecccccca ccc fbbbbbbbg acccccce cca gbbbbbbgf ecccccca eccf dbbbbbbbf acccccce ccc dbbbbbbbd eccccccaf ccafbbbbbbbg acccccce accbbbbbbbf eccccccaf dcccbbbbd accccc dbbbcccbd eccc fbbbbbcccf f gbbbbbbaccc dbbbbbbbacccca fbbbbbbbdeccccce fgbbbbbbg eccccce gbbbbbbbf eccccce dbbbbbbbd eccccce fbbbbbbbg eccccce fgbbbbbbgf eccccce bbbbbbbf eccccce gbbbd eccccce g eccccce eccccca eccccca eccccca eccccca cccca fca ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#37aaebff b,#e56580ff c,#82c7e6ff d,#d99da1ff e,#ebededff f,#b1d7b1ff g,#95c996ff ``` ```image de bbb bbb bbb ebbd dbbe bbb bbb bbb ebbd dbbe bbb bbb bbb ebbd dbbe bbb ebbb gggggggggggggggggggggggggggggggggggggggbbbd effffffffffffffffffffffffffffffffffffffdbbbg effffffffffffffffffffffffffffffffffffffbbbfg ebbe efffffffffffffffffffffffffffffffffffffbbbbfg bbbbbd efffffffffffffffffffffffffffffffffffffbbbffg dbbbbbbbbe effffffffffffffffffffffffffffffffffffbbbdffg ebbbbbedbbbbd efffffffffffffffffffffffffffffffffffdbbbfffg ebbbbbd bbbbb efffffffffffffffffffffffffffffffffffbbbffffg ebbbbbb dbbbbe effffffffffffffffffffffffffffffffffbbbbffffg ce ebbbbbbe ebbbbb effffffffffffffffffffffffffffffffffbbbfffffcaaa bbbbbbe bbbbbe efffffffffffffffffffffffffffffffffbbbdfffcaaaaac bbbbe ebbbbd effffffffffffffffffffffffffffffffdbbbfffaaaaaa ebe bbbbb effffffffffffffffffffffffffffffffbbbffaaaaaae dbbbbd efffffffffffffffffffffffffffffffbbbbaaaaaafg bbbbb efffffffffffffffffffffffffffffffbbaaaaaacffg dbbbbe effffffffffffffffffffffffffffffbaaaaaacffffg ebbbbb efffffffffffffffffffffffffffffaaaaaacffffffg cae bbbbbefffffffffffffffffffffffffffcaaaaacffffffffg aaa ebbbbbffffffffffffffffffffffffcaaaaaaffffffffffg caaa bbbbbfffffffffffffffffffffcaaaaaabfffffffffffg aaaae dbbbbdffffffffffffffffffaaaaaabbdfffffffffffg aaaac ebbbbbfffffffffffffffaaaaaadbbbffffffffffffg aaaaa efbbbbbdfffffffffffaaaaaaffbbbfffffffffffffg caaaaa efffbbbbbffffffffaaaaaacffbbbbfffffffffffffg aaacaac effffbbbbbfffffaaaaaacffffbbbffffffffffffffg aaa aaa efffffdbbbbdfaaaaaacfffffbbbdffffffffffffffg eaaa aaa efffffffbbbcaaaaacffffffdbbbfffffffffffffffg caac aaae effffffffgaaaaaaffffffffbbbdfffffffffffffffg aaa caac effffffcaaaaaabbfffffffdbbbffffffffffffffffg aaa aaa efffffaaaaaabbbbbffffffbbbfffffffffffffffffg eaac aaa efffaaaaaafffdbbbbbfffbbbdfffffffffffffffffg caae caae efaaaaaafffffffbbbbbfdbbbffffffffffffffffffg aaa eaaa aaaaaacfffffffffdbbbbbbbdffffffffffffffffffg aaa aaa aaaaaacfffffffffffffbbbbbbfffffffffffffffffffg eaac aaa caaaaacffffffffffffffffdbbbffffffffffffffffffffg aaae caac caaaaacffffffffffffffffffffbdffffffffffffffffffffg aaa aaa caaaaac effffffffffffffffffffffffffffffffffffffffffg aaa aaa eaaaaaa effffffffffffffffffffffffffffffffffffffffffg caac aaae eaaaaaa effffffffffffffffffffffffffffffffffffffffffg aaa eaaceaaaaaae effffffffffffffffffffffffffffffffffffffffffg aaa aaaaaaaae effffffffffffffffffffffffffffffffffffffffffg aaa aaaaaae effffffffffffffffffffffffffffffffffffffffffg caac caaac effffffffffffffffffffffffffffffffffffffffffg aaa cc effffffffffffffffffffffffffffffffffffffffffg aaa egfffffffffffffffffffffffffffffffffffffffffg eaaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee caae aaa aaa eaac caae aaa aaa caac aaae aaa aaa caac aaa aaa aaa caac aaa aaa ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#37aaebff b,#e56581ff c,#7ac5f1ff d,#ed94a7ff e,#c4e5f8ff f,#f5cbd4ff g,#9d86b0ff ``` ```image dbbbbb fbbbbbb bbbbbbb fbbbbbbf bbbbbbd dbbbbbb fbbbbbbd dbbbbbb fbbbbbbf bbbbbbd dbbbbbbf fbbbbbbd dbbbbbb fbbbbbbf bbbbbbd dbbbbbbf fbbbbbbd dbbbbbb fbbbbbbf bbbbbbd dbbbbbbf ea fbbbbbbd eaaa dbbbbbb ecaaaa fbbbbbbf ecaaaaaa bbbbbbd ecaaaaaaaa dbbbbbbf caaaaaaaaaa fbbbbbbd caaaaaaaaaaac dbbbbbbcaaaaaaaaaaace fbbbbbgaaaaaaaaaaace bbbbgaaaaaaaaaaaae dbbgaaaaaaaaaaaae fbgaaaaaaaaaaaae gaaaaaaaaaaaac ecaaaaaaaaaaac caaaaaaaaaaac caaaaaaaaaaace bf caaaaaaaaaaace bbd eaaaaaaaaaaaae bbbbf eaaaaaaaaaaaagf bbbbbd eaaaaaaaaaaaagbd bbbbbbbf ecaaaaaaaaaaagbbbf bbbbbbbbf ecaaaaaaaaaaagbbbbd bbbbbbbbbd ecaaaaaaaaaaagbbbbbb dbbbbbbbbbf caaaaaaaaaaacfbbbbbbf fbbbbbbbbbd caaaaaaaaaaace bbbbbbd dbbbbbbbbbf caaaaaaaaaaace dbbbbbbf dbbbbbbbbbd eaaaaaaaaaaace fbbbbbbd fbbbbbbbbbbf eaaaaaaaaaaaae dbbbbbb dbbbbbbbbbf eaaaaaaaaaaaae fbbbbbbf fbbbbbbbbbd ecaaaaaaaaaaae bbbbbbb dbbbbbbbbbf ecaaaaaaaaaaac dbbbbbbf fbbbbbbbbbd ecaaaaaaaaaaac bbbbbbd fdbbbbbbbbbcaaaaaaaaaaac dbbbbbb dbbbbbbgaaaaaaaaaaace fbbbbbbf fbbbgaaaaaaaaaaace bbbbbbb gaaaaaaaaaaace dbbbbbbf eaaaaaaaaaaaag bbbbbbd eaaaaaaaaaaaagbbbf dbbbbbb ecaaaaaaaaaaagbbbbbbd fbbbbbbf ecaaaaaaaaaaacdbbbbbbbbbf bbbbbbb ecaaaaaaaaaaac dbbbbbbbbbd fbbbbbbf caaaaaaaaaaac fbbbbbbbbbdf bbbbbbd caaaaaaaaaaace dbbbbbbbbbf dbbbbbb caaaaaaaaaaace fbbbbbbbbbd fbbbbbbf eaaaaaaaaaaace dbbbbbbbbbfbbbbbbb aaaaaaaaaaaae fbbbbbbbbbbbbbbbf aaaaaaaaaae fbbbbbbbbbbbbbd aaaaaaaae dbbbbbbbbbbb aaaaaac fbbbbbbbbbd aaaac dbbbbbbb aac fbbbbbf ce dbdf ``` <!-- end of image --> 2 intersections present within area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#37aaebff b,#e56480ff c,#9ad4f5ff d,#ed96a9ff e,#cde9f9ff f,#f6d1daff g,#6dbbecff ``` ```image ff bbb bbb bbb fbbd dbbf bbb bbb bbb fbbd dbbf bbb bbb bbb fbbd dbbf bbb bbb bbbd fbbb bbbf fbbf bbbb bbbbbd bbb dbbbbbbbb bbbd fbbbbbfdbbbbd fbbb fbbbbbd bbbbb bbbf fbbbbbb dbbbbf dbbb ce fbbbbbbf fbbbbb bbb caaa bbbbbbf bbbbbf bbbd eaaaaac bbbbf fbbbbd fbbb eaaaaaa bf bbbbb bbbfeaaaaaa dbbbbd dbbbaaaaaae bbbbb bbaaaaaae dbbbbf baaaaaac fbbbbb gaaaaac gae bbbbbf caaaaag aaa fbbbbd caaaaag caaa bbbbb eaaaaaab aaaae dbbbbd eaaaaaabbd aaaag bbbbb eaaaaaafbbb aaaaa dbbbbf aaaaaae bbbf caaaaa fbbbbb aaaaaae dbbb aaagaac bbbbb gaaaaac bbb aaa aaa fbbbbd gaaaaac bbbd eaaa aaa bbbgaaaaag fbbb gaac aaa gaaaaag bbbf aaa caag eaaaaaabb dbbb aaa aaa eaaaaaadbbbbf bbb eaag aaa eaaaaaa fbbbbd bbbd gaae gaae aaaaaae bbbbb fbbb aaa eaaa aaaaaae dbbbbbbbf aaa aaa gaaaaac bbbbbb eaag aaa gaaaaac dbbb aaae caac caaaaag fbf aaa aaa caaaaag aaa aaa eaaaaaa caac gaae eaaaaaa aaa eaageaaaaaa aaa aaaaaaaae aaa aaaaaae caac caaac aaa gc aaa eaaa gaae aaa aaa eaag gaae aaa aaa caag aaae aaa aaa caac aaa aaa aaa caac aaa aaa ``` <!-- end of image -->
[ "" ]
The hunt for intersections begins! Let's analyze this image closely. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#8e8069ff b,#69b859ff c,#d5deccff d,#aba592ff e,#eff4edff f,#97ca93ff g,#b1d6b0ff ``` ```image e edaaa caaaaaaa edaaaaaaadc gaaaaaaaag cdaaaaaaade edaaaaaaaac caaaaaaaade edaaaaaaadc gaaaaaaaag cdaaaaaaade edaaaaaaaac eaaaaaaaad aaaaadc caag aaa aac caa aaa aac ec daa aaa aad caa eaae aag daa daa aad eaa eaa aad aaa daa aag eaae caa aad aaa daa aac aae gaa aad aaa gaa aae aac daa aaa aad gaa eaa bg aac daa gbbf aaa aad fbbbg caa caa bbbbbg aac aaa bbfbbbc aaa aac bbg bbbc caa caa bbc bbbe aag aaa bbe bbbe aaa aac bb bbbe eaa daa ebb bbbe aad aad cbb ebbb daa aae gbb ebbb eaae daa fbb ebbb aad aad bbb cbbb daa eaa ebb bbf cbbb aae aaa bbbb bbg cbbb aad aag cbbbbbc bbc gbbb daa caa bbbbgbbb bbe gbbb eeeeeeaaceeeeeeeeaaaeeeeee cbbbb fbb bb fbb fgggggaaaggggggggaadgggggfe bbbbg ebb ebb f fgggggdaagggggggdaagggggggecbbbb bbc gbb fggggggaafggggggaaagggggggbbbbg bbb fbb fggggggaaaggggggaaggggggfbbbb fbb fbb fggggggdaagggggdaagggggbbbbg ebb bbf fgggggggaadggggaaagggfbbbbe bbc bbf fgggggggaaaggggaagggbbbbfge bbb bbg fgggggggfaagggaaagfbbbbggge fbb bbe fggggggggaadggaadbbbbfgggge ebb cbb fggggggggaaagfabbbbbgggggge bbc bbb fgggggggggaagabbbbfggggggge bbb fbb fgggggggggaabbbbbggggggggge fbb ebbf fgggggggggabbbbfgggggggggge ebb bbb fggggggggbbbbbaggggggggggge bbc fbbe fgggggggbbbbaafggggggggggge bbb bbf fgggggbbbbbdaagggggggggggge fbb bbb fggggbbbbgggadgggggggggggge ebb gbbc fggbbbbbgggggggggggggggggge bbc bbb ffbbbbgggggggggggggggggggge bbb bbb bbbbfggggggggggggggggggggge fbb cbbg cbbbbggggggggggggggggggggggge ebb bbb bbbbfgggggggggggggggggggggggge bbcfbb cbbbbfggggggggggggggggggggggggge bbbbbf bbbbg fggggggggggggggggggggggggge gbbbb cbb fggggggggggggggggggggggggge ebbbe g gfffffffffffffffffffffffffe bbf cf ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#8e8169ff b,#69b759ff c,#d1dcc8ff d,#a79d8bff e,#eaefe6ff f,#bcc2acff g,#91ca85ff ``` ```image faaaaf caaaad eaaaaa daaaac daaaac eaaaaa faaaaf faaaaf eaaaaa daaaac daaaac eaaaaa caaaad faaaaf e eaaaaa aaaaae cb daaaac caaaad egbb caaaad faaaaf cbbbb aaaaae aaaaae egbbbbb daaaac caaaad fbbbbbbb caaaad daaaac egbbbbbbbg aaaaae eaaaaa fbbbbbbbbc faaaaf faaaad egbbbbbbbge caaaad daaaac fbbbbbbbbc aaaaae eaaaaa egbbbbbbbge faaaaf faaaaffbbbbbbbbc eaaaad daaaabbbbbbbbg aaaaae eaaabbbbbbbbbc faaaaf faabbbbbbbbg eaaaaa abbbbbbbbbc daaaaefbbbbbbbbf faaaagbbbbbbbge eaaabbbbbbbbf dbbbbbbbbbe cbbbbbbbbbc egbbbbbbbbaa cbbbbbbbbaaaf egbbbbbbbbaaaac cbbbbbbbbaaaaaa egbbbbbbbgedaaaaf cbbbbbbbbc caaaae egbbbbbbbge faac fbbbbbbbbc egbbbbbbbge fbbbbbbbbc egbbbbbbbge fbbbbbbbbc gbbbbbbbge bbbbbbbc bbbbbg bbbbc bbg bc ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 There are precisely two intersections present in the image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8e816aff b,#68b858ff c,#cad5bfff d,#b0a696ff e,#e5ebe0ff f,#a6d59dff g,#82c374ff ``` ```image daaa caaaaaaa edaaaaaaade caaaaaaaac eaaaaaaaade daaaaaaaac caaaaaaaad edaaaaaaade caaaaaaaac eaaaaaaaade daaaaaaaac eaaaaaaaad aaaaade eaac aaa aac caa aaa aae ec daa aaa aad eaa aa aad daa aaa aad eaa eaa aad aaa daa aac aa caa aad aaa daa aac aae caa aaa aaa daa aae aae daa aaa aad caa eaa bf aac daa cbbf aaa aad fbbbf caa eaa gbbbbc aac aaa bbgbbbc aaa aac bbf bbbe eaa caa bbc bbbe aac aaa bbe bbbe aaa aae bb bbbe eaa daa ebb bbb aad aad cbb bbb daa aae fbb ebbb aa daa gbb ebbb aad aad bbg ebbb daa eaa ebb bbf ebbb aae aaa gbbb bbf cbbb aad aac ebbbbbc bbe cbbb daa caa gbbbfbbg bb fbbb aae aaa ebbbb fbb bb fbb aaa aac gbbbf ebb ebb f caa caa cbbbb bbc cbb aac aaa bbbbc bbg fbb aaa aae cbbbb fbb gbb caa daa bbbbc ebb bbg aac aad cbbbb bbc bbf aaa aa bbbbc bbg bbc eaa daa fbbbb fbb bbe aac aadbbbbc ebb cbb aaa eabbbbg bbc bbb eaa abbbbe bbg gbb aagbbbg fbb ebbf dbbbbe ebb bbb fbbbba bbc fbbe ebbbbaae bbg bbg gbbbgdaa fbb bbb ebbbbe ac bb fbbe gbbbg bbc bbg ebbbbe bbg bbb gbbbf fbb ebbc ebbbb bb bbb gbbbf bbcgbb ebbbb bbbbbf gbbbf fbbbb ebb bbbe c bbg cg ``` <!-- end of image -->
[ "" ]
I'm ready to tackle this image and find those intersections! These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#2eeac7ff b,#81ba19ff c,#a2d09fff d,#eaf7eeff e,#78ecd1ff f,#99c856ff g,#b2d8b1ff ``` ```image dae aa eae aa eaa ddaadddddddddddddddddddd dcceaacccccccccccccccccccc cf dcggaagggggggggggggggggggc bb dcggcaaggggggggggggggggggc fbb e dcgggaaegggggggggggggggggc bbb daa dcggggaagggggggggggggggggc gbbb aad dcggggaaeggggggggggggggggc bbfbd aae dcgggggaaggggggggggggggggc dbbfbg eaa dcgggggaaagggggggggggggggc bbdcbg aa dcggggggaagggggggggggggggc dbb gbc aae dbbfggggeaaggggggggggggggc bbg dbf eaa dbbbbfgggaaggggggggggggggc bb dbf aa dcgbbbbfgeaagggggggggggggc fbc bb aae dcgggfbbbbaacggggggggggggc bb bb eaa dcgggggfbbbaaggggggggggggc gbf bb daa dcgggggggfbaafcggggggggggc bb bb aad dcgggggggggcaabbfggggggggc dbb bb eaa dcggggggggggaaabbbfggggggc bbd bb daa dcgggggggggggaagbbbbfggggc dbb bb aad dcgggggggggggeaaggfbbbbggc bbg bb eaa dcggggggggggggaaggggfbbbbc bb bb daa dcggggggggggggeaagggggfbbbbd fbc fbd aad dcgggggggggggggaagggggggcbbbbg bb fbd aae dcgggggggggggggcaagggggggcdbbbbc cbfddddddddfbgdddddddddaa dcggggggggggggggaaeggggggc dbbbbf bbcccccccccfbfccccccccaacc dcgggggggggggggggaaggggggc fbbb gbbcggggggggcbfgggggggaaagc dcgggggggggggggggaaegggggc bbb bbdcggggggggcbfggggggeaaggc dcggggggggggggggggaagggggc fbbd dbbdcgggggggggbbggggggaagggc dcggggggggggggggggaaeggggc fbbg bbgdcgggggggggbbgggggaaegggc dcgggggggggggggggggaaggggc gbbc bb dcgggggggggbbggggeaaggggc dccccccccccccccccccaaccccc dbbffbc dcgggggggggbbggggaagggggc ddddddddddddddddddeadddd bbbb dcgggggggggbbgggaaegggggc daa bbf dcgggggggggbbggeaaggggggc aa g dcgggggggggbbggaagggggggc aa dcgggggggggbbgaaegggggggc eae dcgggggggggbbeaaggggggggc aa dcgggggggggbbaagggggggggc aa dcgggggggggbaaegggggggggc eae dcgggggggggaaaggggggggggc daa dcgggggggggaacggggggggggc aa dcggggggggaaffggggggggggc aad dcgggggggaaabfggggggggggc dae dcgggggggaacbfggggggggggc aa dcggggggaacgbbggggggggggc aa dcgggggaaaggbbggggggggggc eae dcggggcaagggbbggggggggggc aa dcggggaaggggbbggggggggggc dgfbg aa dcgggaaaggggbbggggggggggc dcfbbbbbbbf ead dcggeaagggggbbggggggcfbbbbbbbbbbfcd daa dcggaaggggggbbffbbbbbbbbbbfgd aa dcgaaeggggggbbbbbbbbfcggc aa dceaagggggggcbfcggggggggc eae dcaaggggggggggggggggggggc aa daaeccccccccccccccccccccc aa eaaddddddddddddddddddddd eae aa daa aae aa eaa aad daa dae aad aa eaa aa daa eae aad aa eaa aa daa ead aad daa aae aa daa aa aad eae aae aa daa aa aad eaaae daaa aa dd ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#2deac7ff b,#81ba1aff c,#c5e09aff d,#a1f5e6ff e,#60efd5ff f,#93ca51ff g,#ddf6e6ff ``` ```image daaaa aaaad daaaa eaaad daaaag eaaae gaaaag eaaae gaaaad daaae aaaad daaaa aaaad daaaag eaaae gaaaag eaaae gaaaag gg eaaae cbfc gaaaad bbbbfc daaaa bbbbbbbc aaaad cbbbbbbbbcg daaaa cbbbbbbbbfg eaaad cfbbbbbbbfg daaaag cfbbbbbbbfc eaaae gfbbbbbbbfcaaaag gfbbbbbbbaaaae gcbbbbbbaaaad cbbbbfaaaag cfbbaaaaffg cffaaaabbfc gaaaafbbbfc daaaabbbbbbc eaaaabbbbbbbcg gaaaacbbbbbbbbfg eaaae cbbbbbbbbfg gaaaag cfbbbbbbbfc eaaae gfbbbbbbbfc gaaaad gfbbbbbbbbc daaaa gcbbbbbbbb aaaad gcbbbbbb daaaa cbbbb eaaad cfb daaaag c eaaae gaaaag eaaae gaaaad daaae aaaad daaaa aaaad daaaag eaaae gaaaag eaaad gaaae aaaag eaaad daaae ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Alright, let's concentrate on the next area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#2deac7ff b,#81ba19ff c,#bedb88ff d,#b5f7e9ff e,#6cf0d8ff f,#99c94eff g,#ddecc1ff ``` ```image bf cbbbg daaaa bg cbbbg aaaae f cbbbc eaaaa c cbbbc daaaad gbbbc aaaae gbbbc eaaaa gbbbf daaaad gbbbf aaaae bbbf eaaaa bbbb daaaad bbbb aaaae bbbb eaaaa fbbb daaaad fbbbg aaaae fbbbg eaaaa cbbbg daaaad cbbbg daaaae cbbbc eaaae cbbbc eaaaad gbbbc daaaad gbbbc aaaae gbbbf eaaaa gbbbf daaaad bbbf aaaae bbbfeaaaa bbbfaaaad bbbaaaae fbaaaaa ffaaaad faaaae aaaaa daaaad aaaaag eaaaabc daaaafbc aaaaabbc eaaaabbbc daaaadbbbf daaaaegbbbf eaaae bbbf eaaaad bbbf daaaad bbbb aaaae bbbb eaaaa fbbb daaaad fbbb aaaae fbbbg eaaaa fbbbg daaaad cbbbg aaaae cbbbg eaaaa cbbbc g daaaad cbbbc ggccfbbb aaaae gbbbc ggcffbbbbbbbbb eaaaa gbbbfccfbbbbbbbbbbbbbbbb daaaad gbbbbbbbbbbbbbbbbbbbbbff aaaae gbbbbbbbbbbbbbbbfccgg eaaaa bbbbbbbbbfccg daaaad gfffcgg aaaae eaaaa daaaad daaaae ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area B. Answer: A: 1; B: 1; 1 + 1 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2debc8ff b,#81ba19ff c,#bedb88ff d,#bef8edff e,#73f1daff f,#9bc94eff g,#ddecc2ff ``` ```image dad aa eae aa eaa aa daa cf aad bb daa fbb e aad bbb daa aa cbbb aa aae bbfbg aae aa gbbcbg daa eae bbgcbc aa g aa bb gbc aae bbc eaa bbg gbf eaa bbbbc aa bb bf aa fbbbf daa fbc bb aad fbbbfaad bb bb eaa cbbbaa cbf bb aa cbaafg bb bb aad gaabbc gbb bb eaa eaabbbc bb bb aa aa bbbbf bb bb aad eae fbbbf bbg bb eaa aa cbbbb bb bb daa daa cbbbbg fbc fb aad aa gbbbbg bb fbg aae daa gbbbbc cbf cbg daa aad bbbbf bb cbc aa aa fbbb gbb gbc aae aae bbb bb gbf daa aa fbbg bb bf aa eae cbbg bbg bb aae aa gbbc bb bb daa aa gbbffbc bb aa ead bbbb bb aae daa bbf bb eaa aa c bb aa aa bb aad dae bbeaa aa bbaa aa faad ead aaa aa aag aa aafc aad eaabc dae daagbf aa aad bf aa aae bb eae daa bb aa aa bb cfbc aa aae bb gcfbbbbbbbf ead daa bb gcbbbbbbbbbbfcg daa aa bbcfbbbbbbbbbbfc aa aae bbbbbbbbcg aa daa gfcg dae aa aa aae aa eaa ead aa aa aad aa eaa aad aa dae aad aa eaa aa aa eae aad aa eaa aa daa ead aad daa aae aa daa aa aa dae aae aa daa aa aa eaaae aaa aa d ``` <!-- 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,#e67c6cff b,#e36aa7ff c,#f0b0c9ff d,#a4d0a4ff e,#cda69cff f,#b2d7b1ff g,#f1f3efff ``` ```image g ggggggggggggggggggggggggggggggggg gbbbb gdddddddddddddddddddddddddddddddddg gbbbbbbbg gdfffffffffffffffffffffffffffffffdg cbbbbbbbbbc gdfffffffffffffffffffffffffffffffdg cbbbbbbbbcgbbb gdfffffffffffffffffffffffffffffffdg cbbbbbbbbc bbb gdfffffffffffffffffffffffffffffffdg cbbbbbbbbbg bbb gdfffffffffffffffffffffffffffffffdg gbbbbbbbbbg bbbg gdfffffffffffffffffffffffffffffffdg gbbbbbbbbbc cbbc gdfffffffffffffffffffffffffffffffdg cbbbbbbbbc gbbb gdfffffffffffffffffffffffffffffffdgcbbbbbbbbc bbb gdffffffffffffffffffffffffffffffebbbbbbbbc bbb gdffffffffffffffffffeffffffffebbbbbbbbbg bbbc gdffffffffffffffffeaaafffffbbbbbbbbbg cbbc gdffffffffffffffeaaaaaafbbbbbbbbbeg gbbb gdffffffffffffeaaaaaabbbbbbbbbeffdg bbb gdffffffffffeaaaaaabbbbbbbbefffffdg bbb gdffffffffaaaaaabbbbbbbbbffffffffdg bbbc gdffffffaaaaabbbbbbbbbaaeffffffffdg cbbc gdffffaaaabbbbbbbbbefeaaaffffffffdg gbbb gdffaaabbbbbbbbbefffffaaaefffffffdg bbb gdaabbbbbbbbbeffffffffeaaafffffffdg bbb aabbbbbbbbeffffffffffffaaafffffffdg bbbc bbbbbbbbbfffffffffffffffeaaaffffffdg cbbb bbbbbbfffffffffffffffffffaaaffffffdg gbbb cbbefffffffffffffffffffffaaaafffffdg bbb gdfffffffffffffffffffffffaaafffffdg bbb gdfffffffffffffffffffffffaaaaffffdg bbbc gdffffffffffffffffffffffffaaaffffdg cbbb gdffffffffffffffffffffffffaaaefffdg bbb gdffffffffffffffffffffffffeaaafffdg bbb gddddddddddddddddddddddddddaaaaaedg bbb ggggggggggggggggggggggggggcaaaaaae bbbc gaaaaaaaac ggggggggcbbbgggggggggggg caaaaaaaag dddddddddbbbdddddddddddd gaaaaaaaae dffffffffbbbffffffffffff caaaaaaaac dffffffffbbbffffffffffff eaaaaaaaag dffffffffbbbefffffffffff gaaaaaaaac dffffffffebbbfffffffffff caaaaaaaag dfffffffffbbbfffffffffff eaaaaaaae dfffffffffbbbfffffffffff gaaaaaaaac dfffffffffbbbfffffffffff caaaaaaaafffffffffbbbeffffffffff gaaaaaaaaeffffffebbbffffffffff caaaaaaaaeffffbbbffffffffff aaaaaaaaaffbbbffffffffff dffaaaaaaaabbbffffffffff dffffeaaaaabbbefffffffff dfffffffaaaabbbaefffffff dfffffffffeabbbaaaaeffff dfffffffffffbbbaaaaaaeff dfffffffffffbbbfaaaaafff dfffffffffffbbbeffeaafff dfffffffffffebbbffffffff dffffffffffffbbbffffffff dffffffffffffbbbffffffff dffffffffffffbbbffffffff dffffffffffffbbbefffffff dffffffffffffebbbfffffff dfffffffffffffbbbfffffff dfffffffffffffbbbfffffff dfffffffffffffbbbfffffff dfffffffffffffbbbeffffff ddddddddddddddebbbdddddd gggggggggggggggbbbgggggg bbb bbbg cbbc gbbb bbb bbb bbbg cbbc gbbb bbb bbb bbbg cbbc gbbb bbb bbb bbbg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e67b6bff b,#e469a6ff c,#f3c4ccff d,#e57189ff e,#ed9f93ff f,#eb94c0ff g,#f9e2e5ff ``` ```image cf cfbbb gccg gfbbbbbb geaaaag gfbbbbbbbbb geaaaaaaa gcbbbbbbbbbbbb geaaaaaaaaac gcfbbbbbbbbbbbbbb geaaaaaaaaaaaa cfbbbbbbbbbbbbbbbbf geaaaaaaaaaaaaadfbbbbbbbbbbbbbbbbfcg geaaaaaaaaaaaaadbbbbbbbbbbbbbbbbbcg geaaaaaaaaaaaadbbbbbbbbbbbbbbbbbfg geaaaaaaaaaaadbbbbbbbbbbbbbbbbbfg geaaaaaaaaaadbbbbbbbbbbbbbbbbbfc geaaaaaaaaaddbbbbbbbbbbbbbbbbfc geaaaaaaaaddbbbbbbbbbbbbbbbbbdag geaaaaaaaadbbbbbbbbbbbbbbbbbdaaaae geaaaaaaadbbbbbbbbbbbbbbbbbfgeaaaaaa geaaaaaadbbbbbbbbbbbbbbbbbfg gaaaaaac ceaaaaadbbbbbbbbbbbbbbbbbfc eaaaaaa ceaaaaddbbbbbbbbbbbbbbbbfc caaaaaac ceaaaddbbbbbbbbbbbbbbbbbcg aaaaaae ceaaadbbbbbbbbbbbbbbbbbfg caaaaaac ceaadbbbbbbbbbbbbbbbbbfg aaaaaae eadbbbbbbbbbbbbbbbbbfc caaaaaag dbbbbbbbbbbbbbbbbfc gaaaaaae bbbbbbbbbbbbbbfcg eaaaaaag bbbbbbbbbbbbcg gaaaaaae bbbbbbbbbfg eaaaaaa bbbbbbfg gaaaaaac bbbfc eaaaaaa fc caaaaaac aaaaaae caaaaaac aaaaaae caaaaaag gaaaaaae eaaaaaag gaaaaaae eaaaaaa gaaaaaac eaaaaaaec ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Now, let's dive into another area. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#e77b6cff b,#e469a6ff c,#f0aec1ff d,#f4c9d4ff e,#ec9d92ff f,#e989b9ff g,#f9e4eaff ``` ```image gbbbbbb bbbbbbg fbbbbbd cbbbbbc dbbbbbf gbbbbbb bbbbbbg fbbbbbd cbbbbbc dbbbbbf gbbbbbb bbbbbbg fbbbbbd cbbbbbc dbbbbbf gbbbbbb bbbbbbg acg fbbbbbd aaaed cbbbbbf aaaaaaeg dbbbbbf aaaaaaaaecg gbbbbbb aaaaaaaaaaaed bbbbbbg aaaaaaaaaaaaaacg fbbbbbd eaaaaaaaaaaaaaaaed cbbbbbf deaaaaaaaaaaaaaaaeddbbbbbf gcaaaaaaaaaaaaaaaabbbbbb deaaaaaaaaaaaaabbbbbbg gcaaaaaaaaaaabbbbbbc geaaaaaaaabbbbbbbecg deaaaaaabbbbbbaaaed gcaaaabbbbbbaaaaaacg deabbbbbbaaaaaaaaed gfbbbbbaaaaaaaaaaaed cbbbbbbaaaaaaaaaaaac dbbbbbbaaaaaaaaaaaag gbbbbbbgcaaaaaaaaae bbbbbbd deaaaaaad fbbbbbc deaaa cbbbbbf gcc dbbbbbb gbbbbbbg bbbbbbd fbbbbbc cbbbbbf dbbbbbb gbbbbbbg bbbbbbd fbbbbbc cbbbbbf dbbbbbb gbbbbbbg bbbbbbd fbbbbbc cbbbbbf dbbbbbb gbbbbbbg bbbbbbd fbbbbbc cbbbbbf ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area B! Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#e67b6cff b,#e469a6ff c,#f1b3c4ff d,#f5ccd9ff e,#ec9d91ff f,#ea8cbbff g,#fae8edff ``` ```image g gbbbb gfbbbbbbd fbbbbbbbbbf cbbbbbbbbcgbbb dbbbbbbbbf bbb dbbbbbbbbfg bbb gbbbbbbbbbg bbbd gfbbbbbbbbd cbbf fbbbbbbbbc gbbb cbbbbbbbbc bbb dbbbbbbbbf bbb dg dbbbbbbbbfg bbbd eaaag gfbbbbbbbbd cbbf eaaaaaa fbbbbbbbbd gbbb eaaaaaabbbbbbbbbc bbb eaaaaaabbbbbbbbf bbb eaaaaabbbbbbbbfg bbbd eaaaabbbbbbbbbaac cbbf eaaabbbbbbbbbd daaa gbbb eaabbbbbbbbbd aaad bbb eabbbbbbbbbc caaa bbb eabbbbbbbbf aaag bbbd bbbbbbbbfg eaaa cbbf bbbbbbg aaag gbbb fbbd eaaa bbb aaa bbb aaae bbbd gaaa cbbf aaac bbb daaa bbb aaaaad bbb caaaaaae fbbd gaaaaaaaac dbbf caaaaaaaag bbb geaaaaaaae bbb daaaaaaaad bbb eaaaaaaaeg fbbd gaaaaaaaac dbbf caaaaaaaad bbb eaaaaaaae bbb daaaaaaaac bbb caaaaaaaag fbbc geaaaaaaae dbbf daaaaaaaad bbb eaaaaaaaeg bbb gaaaaaaaabbbg caaaaabbbc eaaabbbae dabbbaaaac bbbaaaaaac bbbgaaaaa fbbc caa dbbb bbb bbb bbbg fbbc dbbb bbb bbb bbbg fbbc dbbb bbb bbb bbbg fbbc dbbb bbb bbb bbbg fbbc dbbb bbb bbb bbbg fbbc gbbb bbb bbb bbbg ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#731b51ff b,#20b536ff c,#c8a8bbff d,#66c773ff e,#9b6e86ff f,#eef2edff g,#b0d6b0ff ``` ```image ff gbbd dbbbbdfffffffffffffffffffffffffffffffffffff dbbbbbbbgggggggggggggggggggggggggggggggggggg bbbbdgbbbbggggggggggggggggggggggggggggggggggg bbbbg gbbbbgggggggggggggggggggggggggggggggggg bbbbg fgbbbbggggggggggggggggggggggggggggggggg bbbbf fggbbbbdggggggggggggggggggggggggggggggg fbbbbf fgggbbbbdgggggggggggggggggggggggggggggg fbbbb fggggbbbbbggggggggggggggggggggggggggggg gbbbb fgggggdbbbbgggggggggggggggggggggggggggg gbbbb fggggggdbbbbggggggggggggggggggggggggggg dbbbb fggggggggbbbbgggggggggggggggggggggggggg dbbbb fggggggecgbbbbggggggggggggggggggggggggg fggggggggggggggbbbbd fgggggaaaaaaaaaaaaaaeeegggggggggggggggg fgggggggggggggbbbbd fggggeaaaaaaaaaaaaaaaaaaaaaaaaaaaeggggg fggggggggggggbbbbg fggggaaaeaaaaaaaaaaaaaaaaaaaaaaaaaggggg fgggggggggggbbbbd fgggaaaaggggggdbbbbgeeeeaaaaaaaaaaggggg fggggggggggbbbbgg fggeaaaggggggggdbbbbgggggggggggaaaggggg fgggggggggbbbbggg fggaaaeggggggggggbbbbggggggggggaaaggggg fggggggggbbbbgggg fgaaaaggggggggggggbbbbdggggggggaaaggggg fggggggdbbbbggggg fgaaaggggggggggggggbbbbdgggggggaaaggggg fgggggdbbbbgggggg faaaegggggggggggggggbbbbbggggggaaaggggg fggggdbbbbggggggg eaaagggggggggggggggggbbbbbgggggeaaggggg fgggdbbbbgggggggg aaagggggggggggggggggggdbbbbggggeaacgggg fggbbbbdggggggggg aaaaggggggggggggggggggggdbbbbgggeaaegggg fgbbbbdgggggggggg caaagggggggggggggggggggggggbbbbggeaaegggg fbbbbdggggggeeggg aaaeggggggggggggggggggggggggbbbbdeaaegggg bbbbdggggggaaaggg aaaaggggggggggggggggggggggggggbbbbeaaegggg bbbbggggggggaaaggg faaafgggggggggggggggggggggggggggbbbbaaegggg fbbbbggggggggaaaaggg aaaefggggggggggggggggggggggggggggdbbaaegggg fbbbbggggggggeaaaaggg eaaa fgggggggggggggggggggggggggggggdbaaagggg gbbbb ffffffffaaaaacff faaaf fggggggggggggggggggggggggggggggdaaabggg gbbbb aaaaaac aaae fgggggggggggggggggggggggggggggggaaabggg dbbbb caaaeaac caaa fgggggggggggggggggggggggggggggggaaagggg dbbbd aaaceaac aaac fgggggggggggggggggggggggggggggggaaagggg bbbbd eaaa eaac aaaa fgggggggggggggggggggggggggggggggaaagggg bbbbg faaa eaac faaa fgggggggggggggggggggggggggggggggaaagggg bbbbg aaae caac aaac fgggggggggggggggggggggggggggggggaaagggg bbbbf eaaa caac eaaa fgggggggggggggggggggggggggggggggaaagggg fbbbbf aaaf caac faaaf fgggggggggggggggggggggggggggggggaaagggg fbbbbf aaaa caac aaae fgggggggggggggggggggggggggggggggaaagggg dbb caaa caac caaa fgggggggggggggggggggggggggggggggaaagggg d aaac caae aaaf fgggggggggggggggggggggggggggggggaaagggg eaaa caae aaaa fgggggggggggggggggggggggggggggggaaagggg faaaf caae caaa fffffffffffffffffffffffffffffffaaaffff aaae caae aaac aaa caaa caae eaaa aaa aaaf caae faaa aaa aaaa faae aaae aaa caaa faaeeaaa aaa aaac faaeaaaf aaa eaaa faaaaaa aaa faaaf faaaaa aaa aaae faaaac eaaf caaa aaaa eaaf aaac aaa eaaf aaaa aae eaac faaa eaac aaae caac eaaa caac aaaf caac aaae caae caaa caae aaac faae aaaa faae faaa faae aaae aaa eaaa aaa aaaf aaa faa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#731b52ff b,#1fb635ff c,#ae7c9bff d,#6ace79ff e,#3fc052ff f,#d9e9dbff g,#a2e0abff ``` ```image fe feb febb fbbbb gbbbbb gbbbbbb gbbbbbbb dbbbbbbbb dbbbbbbbef dbbbbbbbef ebbbbbbbe febbbbbbbd febbbbbbbd febbbbbbbd fbbbbbbbbg gbbbbbbbbg gbbbbbbbbg gbbbbbbbbf dbbbbbbbbf dbbbbbbbef dbbbbbbbef ebbbbbbbe febbbbbbbd febbbbbbbd fbbbbbbbbd fbbbbbbbbg gbbbbbbbbg fccc gbbbbbbbbg faaaac bbbbbbbbf aaaaaa bbbbbbef caaaaaaf bbbbbef faaaaaaaf bbbbef caaaaaaaf bbbe caaaaaaaaf bbd aaaaaaaaaf ``` <!-- end of image --> I'll move on to the next area. The intersection must be somewhere. Let's inspect the next region. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#721b51ff b,#21b536ff c,#bd96aeff d,#5ac86aff e,#95577dff f,#dddcdaff g,#9edda7ff ``` ```image bdf bbbf bbbbf bbbbbg bbbbbbg bbbbbbbd bbbbbbbbd fbbbbbbbbdf dbbbbbbbbf dbbbbbbbbf gbbbbbbbbg gbbbbbbbbg gbbbbbbbbd fbbbbbbbbd fdbbbbbbbdf dbbbbbbbbf dbbbbbbbbg gbbbbbbbbg gbbbbbbbbg gbbbbbbbbd fbbbbbbbbd fdbbbbbbbbf ffcfffdbbbbbbbbf caaaaaaaaaaaaaaabcffff faaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccfff eaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaeeeeccccffff caaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaec faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaf eaaaaaaeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae caaaaaac fffcebaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaae faaaaaaa dbbbbbbbbgfffcccceeeeaaaaaaaaaaaaaaaaaae eaaaaaaf gbbbbbbbbg fffcccceeeaaaaae faaaaaae gbbbbbbbbd aaaaaa aaaaaaaf fbbbbbbbbd aaaaaa caaaaaac fbbbbbbbbdf aaaaaa faaaaaae dbbbbbbbbf aaaaaa eaaaaaaf dbbbbbbbbf aaaaaa caaaaaac dbbbbbbbbg eaaaaa faaaaaae gbbbbbbbbg eaaaaa eaaaaaaf gbbbbbbbbd eaaaaaf caaaaaae fbbbbbbbbd eaaaaaf aaaaaaa fbbbbbbbbdf eaaaaaf aaaaaac dbbbbbbbbf eaaaaaf aaaaae dbbbbbbbbg eaaaaaf aaaaaf gbbbbbbbbg eaaaaaf aaaac gbbbbbbbbg eaaaaaf aaae gbbbbbbbbd caaaaaf aaaf fbbbbbbbbd caaaaac aae fdbbbbbbbdf caaaaac aa dbbbbbbbbf caaaaac ac dbbbbbbbbg caaaaac e gbbbbbbbbgcaaaaac f gbbbbbbbbeaaaaac fbbbbbbbbaaaaac fbbbbbbbaaaaac fdbbbbbaaaaac dbbbbaaaaae dbbbaaaaae gbbaaaaaag gbaaaaaabd gaaaaaabbd faaaaaabbbd faaaaaabbb aaaaaabbf aaaaaabf aaaaaag aaaaaa aaaaaa aaaaaa aaaaaa eaaaaa eaaaaa eaaaaaf eaaaaaf eaaaaaf eaaaaaf eaaaaaf eaaaaaf eaaaaaf caaaaaf caaaaac caaaaac caaaaac caaaaac caaaaac ``` <!-- end of image --> The close-up clearly shows 2 intersections point in area B. Answer: A: 0; B: 2; 0 + 2 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#731a51ff b,#21b637ff c,#cbacbfff d,#78d386ff e,#8e4a74ff f,#dae0d9ff g,#ae7b9bff ``` ```image dbbd dbbbbb bbbbbbbb bbbbddbbbb bbbbd fbbbb bbbbf bbbbf bbbbf bbbbd bbbbf bbbbd fbbbb bbbbb fbbbb dbbbb fbbbb dbbbb dbbbb fbbbb dbbbb cffbbbbf bbbbd aaaaaaaaaaaaeeggcf bbbbd gaaaaaaaaaaaaaaaaaaaaaaaaaaac bbbbd aaageaaaaaaaaaaaaaaaaaaaaaaaa bbbbf aaae dbbbbfccgeeaaaaaaaaa bbbbf caaa fbbbb aaa bbbb aaac fbbbbf aaa fbbbb eaaa bbbbf eaa fbbbb faaa bbbbd eaa dbbbb aaag bbbbd eaaf dbbbb gaaa dbbbb eaaf dbbbb aaaf dbbbb gaaf bbbbd aaae fbbbb gaac bbbbd caaa fbbbbf gaac bbbbd gc aaac bbbbfcaac bbbbf eaa eaaa bbbbeaag bbbbf faaaf faaa bbbbaag bbbb aaaaf aaag dbbaag fbbbb gaaaaf gaaa dbaaa fbbbb aaaaaf aaaf caaab dbbbb aaaaaaf aaae aaab dbbbb caaagaac caaa aaaf dbbbb aaacgaac aaac aaa bbbbd eaaa gaac aaaa aaa bbbbd faaa gaac faaa aaa bbbbf aaag gaac aaag aaa bbbbf gaaa gaac eaaa aaa bbbbf aaaf caac aaa aaa bbbb aaae caag aaae aaa dbb caaa caag gaaa aaa b aaac caag aaaf aaa eaaa caag aaae aaa aaa caag caaa aaa aaae caag aaac aaa gaaa faag eaaa aaa aaaf faag faaa aaa aaaa faae aaag aaa faaa faaegaaa aaa aaag faaeaaaf aaa eaaa faaaaae aaa aaa aaaaa eaa aaae aaaac eaa caaa aaaa eaaf aaac aaa eaaf eaaa aag gaaf faaa gaac aaag gaac gaaa caac aaaf caag aaae caag caaa caag aaac faae eaaa faae faaa aae aaag aae gaaa aaa aaaf aaa fae aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#be5fbeff b,#744139ff c,#e0bddcff d,#f0f3efff e,#8e7d6cff f,#a2bc9eff g,#b1d7b1ff ``` ```image ad aa caa aac aa d caa daa aac aa aa aac caa aaa aac caa aa aa caa aad aac aac aa caa daa daa aac aad aa aac daa ddddddddddddddddddddddddddddddddddddddddddddddddddddcaaddd aac dfggggggggggggggggggggggggggggggggggggggggggggggggggfaagggf aa dgggggggggggggggggggggggggggggggggggggggggggggggggggaaggggf daa dggggggggggggggggggggggggggggggggggggggggggggggggggaafggggf aacdgggggggggggggggggggggggggggggggggggggggggggggggggaaagggggf aadggggggggggggggggggggggggggggggggggggggggggggggggfaaggggggf daaggggggggggggggggggggggggggggggggggggggggggggggggaagggggggf fbbf aaaggggggggggggggggggggggggggggggggggggggggggggggaaggggggggebbbbbd aagggggggggggggggggggggggggggggggggggggggggggggaafgggggfbbbbbc daagggggggggggggggggggggggggggggggggggggggggggaaagggfbbbbbe daaaggggggggggggggggggggggggggggggggggggggggggaaggebbbbeggf dgaagggggggggggggggggggggggggggggggggggggggggaaebbbbegggggf dggaagggggggggggggggggggggggggggggggggggggggaabbbeggggggggf dggaaagggggggggggggggggggggggggggggggggggfbaaabfggggggggggf dgggaaggggggggggggggggggggggggggggggggfbbbbaagggggggggggggf dggggaaggggggggggggggggggggggggggggfbbbbbeaaggggggggggggggf dggggaaagggggggggggggggggggggggggebbbbeggaagggggggggggggggf dgggggaaggggggggggggggggggggggebbbbeggggaaagggggggggggggggf dggggggaaggggggggggggggggggebbbbbfgggggfaaggggggggggggggggf dggggggaaaggggggggggggggfbbbbbfggggggggaagggggggggggggggggf dgggggggaagggggggggggfbbbbbfggggggggggaaggggggggggggggggggf dggggggggaaggggggggbbbbbegggggggggggggaaggggggggggggggggggf dggggggggfaaggggebbbbeggggggggggggggggaaggggggggggggggggggf dgggggggggaagebbbbegggggggggggggggggggaaggggggggggggggggggf dgggggggggeaabbbfgggggggggggggggggggggaaggggggggggggggggggf dgggggggfbbeaagggggggggggggggggggggggfafggggggggggggggggggf dgggggggbbegaafggggggggggggggggggggggaagggggggggggggggggggf dgggggggbbgggaaggggggggggggggggggggggaagggggggggggggggggggf dggggggfbegggfaagggggggggggggggggggggaagggggggggggggggggggf dggggggebgggggaafggggggggggggggggggggaagggggggggggggggggggf dggggggbbggggggaaggggggggggggggggggggaagggggggggggggggggggf dggggggbbggggggfaagggggggggggggggggggafgggggggggggggggggggf dgggggebfgggggggaafgggggggggggggggggfaggggggggggggggggggggf dgggggbbgggggggggaagggggggggggggggggaaggggggggggggggggggggf dgggggbbgggggggggfaaggggggggggggggggaaggggggggggggggggggggf dggggebfggggggggggaafgggggggggggggggaaggggggggggggggggggggf dggggbbggggggggggggaagggggggggggggggaaggggggggggggggggggggf dfgggbbggggggggggggfaaggggggggggggggaaggggggggggggggggggggf dddgbfdddddddddddddaacddddddddddddcacddddddddddddddddddddd bb aa cad bb daa aa dbe aac aa eb aa aa cbb daa aa cbbd aac ac cbbd aa cac cbbd daa ca cbbd aac aa cbbd aa aa cbbd daa aa cbbd aac aa dbbd aa ac dbbd daa cac dbbd aacca dbbd aaaa dbbd daaa dbbd caa d dbbd ac be dbbc bbdbbc bbbbc bbbc bbc d ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#be5bbeff b,#734038ff c,#e8d1e5ff d,#c9b5b2ff e,#8f6161ff f,#ac8d89ff g,#d597d5ff ``` ```image gaaaa caaaac caaaac aaaag gaaag gaaaa aaaac aaag aaag gaaa caaac g caaac aa gaaaa aag gaaaa aaac caaaac deb aaaa aaaag dfbbbb gaaag gaaag cfbbbbbbb aaaac gaaaa cfebbbbbbbbe caaaa caaaac debbbbbbbbedc gaaag caaaac debbbbbbbefc aaaac aaaag dfbbbbbbbbfc caaaa gaaaafbbbbbbbbfd gaaag caaaabbbbbbbbd aaaac caaaaebbbbbed caaaa deaaaaebbbedc gaaag debbaaaaabefc aaaac dfbbbbeaaaafc caaaa cfbbbbbbeaaaac gaaag cfebbbbbbbbaaaag aaaac cdbbbbbbbbedaaaag caaaa debbbbbbbefc gaaaa gaaa debbbbbbbbfc caaaac aaac dfbbbbbbbbfc caaaac caaa cfbbbbbbbbbfd aaaag gaag cfebbbbbbbbed gaaaa aaac cdebbbbbbbbedc gaaaa aaag dfbbbbbbbbbfc aaaag aaaac cfbbbbbbbbbfd gaaag caaaac cbbbbbbbbbed aaaa gaaag cfebbbbbbbed aaag aaaag debbbbbbbedc caaac caaaac debbbbbbbefc caaac gaaaa dfbbbbbbbbbf gaaa aaaag cfbbbbbbbbbfd gaaa caaaaccfebbbbbbbbed gaaa gaaaabbbbbbbbed aaag daaaaebbbbefc aaag cebbbaaaabbfc caaac cbbbbbeaaaa caaac fbbbbbfaaaag gaaa ebbbd aaaac gaaa cbbbf caaaa aaaa fbbbc gaaag aaag ebbb aaaac aaag bbbf caaaa caaac bbbd gaaag caaac bbb aaaac gaaa bbe caaaa gaaa dbbd gaaag aaag bbe caaaa aaag dbbd gaaag aaac fbbc aaaac aaac ebe caaaa aaa cbbf gaaag aaa fbbc aaaac aag ebb caaaa aag cbbb gaaag caac dbbb aaaac caac ebbb caaaa gaa bbbf gaaag gaa dbbbd aaaac gaa ``` <!-- end of image --> Success! This area contains 2 intersections point! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#be5bbeff b,#733f37ff c,#debcd8ff d,#eedfeaff e,#936766ff f,#b99f9bff g,#d088d0ff ``` ```image ad aa caa aad aa d caa dag aad aa aa aac daa gag aac daa aa aa daa aad aac aag aa caa daa aa gac aa aa aac daa gag gac daa aa aa daa aad gac gag aa caa daa aa fbbf gag aad fbbbbed aa aac cbbbbbc aa caa debbbbf gag daa ebbbbf aa aafbbbbe aa aaebbed gag cbaaabd aa cbbbeaa aa debbbbfaa gag ebbbbf aad aad fbbbbe aag aa fbbbbed caa cag cbbbbbc aa aad dbbbbbc aa aa debbbbf aa cag ebbbbf aa aadfbbbbe ag faabbed ac dbbeaa cad ebf aad ga bb aa aa dbe caa aa eb aad aa bb aa ag be caa dac fbd aad cad bb aa ga bb daa aa fbc aac aa bb aa aa bb daa ag cbf aac dac bb aa cad bb daa ga dbf gac aa eb aa aa cbb daa aa cbb gac ag cbb aa dac cbb daa ga cbb gac aa cbbd aa aa dbbd daa aa dbbd gag aa dbbd aa ac dbbd daa cad dbbd gagga dbbd aaaa dbbd aaa dbbd gaa dbbd ac be dbbd bedbbd bbbbc bbbc bbc d ``` <!-- end of image -->
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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,#905064ff b,#18d588ff c,#b1d7b1ff d,#5adfa7ff e,#97c796ff f,#ac8790ff g,#d9dedbff ``` ```image ecccccccccccccccccccccccccccccccccce ecccccccccccccccccccccccccccccccccce ecccccccccccccccccccccccccccccccccce ecccccccccccccccccccceaafcccccccccce ecccccccccccccccccccaaaaacccccccccce ecccccccccccccccccfaaaaaacccccccccce eccccccccccccccccaaaaaaaacccccccccce eccccccccccccccaaaaafcaaacccccccccce dbbbdcgeccccccccccccfaaaaacccaaacccccccccce bbbbbbbbbbbbbddecccaaaaaeccccaaacccccccccce ggggggggcccccccddddddddddddbbbbb bbbbbbbbbbbbbbbbbbbbbbbddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gcdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eccccccaabbbbbbbbbbbbbbbbbbbbbbbbbbbddddddcccccgggggggg eccccfaaaaacccccccccccaaacccccccccce ecccaaaaaeccccccccccccfaacccccccccce ecfaaaafccccccccccccccfaacccccccccce eaaaaaccccccccccccccccfaacccccccccce aaaaafcccccccccccccccccfaacccccccccce faaaaacccccccccccccccccccfaaeccccccccce aaaaaccccccccccccccccccccceaaeccccccccce faaaafeccccccccccccccccccccceaafccccccccce aaaaa eccccccccccccccccccccccaafccccccccce faag eccccccccccccccccccccccaafccccccccce f ceeeeeeeeeeeeeeeeeeeeeeaafeeeeeeeeec aaf aaf aaa aaa aaa c aaa caf aaa gaaag aaa gaaac aaa aaaf aaa aaaf aaa aaaa aaa aaaa faa aaaa faa faaa faa faaa faa caaag caag gaaag gaag gaaac gaag aaaf gaac aaaf aaf aaaa aaf aaaa aaf aaaa aaf faaa aaa faaa aaa gaaag aaa gaaag aaa aaaf aaa aaaf aaa aaaa aaa aaaa aaa aaaa aaa aaaa aaa faaa faa faaa faa gaaag faa gaaag faa aaaf caa aaaf gaag aaaa gaag aaaa gaag aaaa aac faaa aaf faaa aaf caaa aaf gaaag aaf gaaac aaa aaaf aaa aaaf aaa aaaa aaa aaaa aaa aaaa aaa faaa aaa faaa aaacaaag aaaaaag aaaaac faaaf faaf af ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#905065ff b,#17d588ff c,#bb95a1ff d,#5be1abff e,#aff0d6ff f,#549578ff g,#e0ced4ff ``` ```image caac gaaaaac caaaaaaa caaaaaaaaa gaaaaaaaaaaa caaaaaaaaaaaa gaaaaaaaaaaaaaa gcaaaaaaaaaaaaaaag caaaaaaaaaaggaaaaag gaaaaaaaaaac gaaaaag caaaaaaaaacg gaaaaag gaaaaaaaaaag gaaaaag bbbdddeee gcaaaaaaaaac gaaaaag bbbbbbbbbbbbdddeee caaaaaaaaaag gaaaaag bbbbbbbbbbbbbbbbbbbbbddffffaaaaaac aaaaac eeeeeeeeeeeeedddddd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddddddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb edddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eeedddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb gaaffffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb caaaaaaaaacgeeedddbbbbbdddddddddffffffeeeeeeeeee caaaaaaaaaag aaaaac gaaaaaaaaaac caaaaa caaaaaaaaacg caaaaa gaaaaaaaaaag caaaaa gcaaaaaaaaac caaaaa caaaaaaaaaag caaaaa gaaaaaaaaaac caaaaa caaaaaaaaacg caaaaa aaaaaaaaag caaaaa aaaaaaac gaaaaag aaaaaag gaaaaag aaaac gaaaaag aac gaaaaag ag gaaaaag gaaaaag gaaaaag aaaaac aaaaac aaaaac ``` <!-- end of image --> Wow! I can see 2 intersections so clearly in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#905064ff b,#17d588ff c,#cbadb7ff d,#5be1abff e,#a6efd1ff f,#ac7d8cff g,#e3e0e0ff ``` ```image gaac aaaaa caaaaaa gaaaaaaaa faaaac aaa dbbbdeg caaaaa aaa bbbbbbbbbbbbbdee aaaaag aaa ggggeeeeeeeeeeeddddddddddddbbbbb bbbbbbbbbbbbbbbbbbbbbbbddddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb geddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aabbbbbbbbbbbbbbbbbbbbbbbbbbbddddddeeeeeeeeeggggg caaaaa faa aaaaag faa faaaaf faa gaaaaa caa aaaaac caag caaaaf caag aaaaag gaag faaaac gaac aaaaa gaac faag aac f aaf aaf aaf aaa aaa aaa c aaa caf aaa gaaag aaa gaaac aaa aaaf aaa aaaf aaa aaaa aaa aaaa faa aaaa faa faaa faa faaa caa caaag caag gaaag caag gaaac gaac aaaf gaac aaaf aac aaaa aaf aaaa aaf aaaa aaf faaa aaa caaa aaa caaag aaa gaaac aaa gaaac aaa aaaf aaa aaaf aaa aaaa aaa aaaa aaa aaaa aaa faaa faa caaa faa caaag faa gaaac caa aaac caag aaaf caag aaaa gaag aaaa gaac aaaa gaac faaa aac faaa aaf caaag aaf gaaag aaf gaaac aaa aaaf aaa aaaf aaa aaaa aaa aaaa aaa aaaa aaa faaa aaa faaa aaacaaag aaaaaag aaaaac faaaf faaf af ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#8d6c6aff b,#6cb753ff c,#48a623ff d,#b1d7b1ff e,#6f2535ff f,#99bf90ff g,#eef4edff ``` ```image g dd bg c c df bg c c gb dd bg c c df bg c c gb fd bg c c df bg c c g gb e fd ae cg ea c gda gcggggggggggggggggggggggggggggggggggggggggggggggegdgggggggggg ffbdddddddddddddddddddddddddddddddddddddddddddddedfaddddddddd fdbfdddddddddddddddddddddddddddddddddddddddddddadddaddddddddd fddcdddddddddddddddddddddddddddddddddddddddddddedddeddddddddd fdddcddddddddddddddddddddddddddddddddddddddddddadddeddddddddd fdddfbddddddddddddddddddddddddddddddddddddddddeddddeddddddddd fddddbfdddddddddddddddddddddddddddddddddddddddeddddeddddddddd fdddddcddddddddddddddddddddddddddddddddddddddafddddaddddddddd fddddddcdddddddddddddddddddddddddddddddddddddedddddaddddddddd fdddddddcddddddddddddddddddddddddddddddddddddadddddffdddddddd fdddddddfbddddddddddddddddddddddddddddddddddadddddddadddddddd fddddddddbfdddddddddddddddddddddddddddddddddedddddddadddddddd fdddddddddcdddddddddddddddddddddddddddddddfffdddddddedddddddd fddddddddddcdddddddfffaaaaaeeeeeeeeeeeaaaaffddddddddedddddddd fddddddddddeeeeaaaafffddddddddddddddddddddddddddddddedddddddd fdddddddddedbfddddddddddddddddddddddddddddddddddddddedddddddd fdddddddfedddcddddddddddddddddddddddddddddddddddddddadddddddd fddddddaadddddcdddddddddddddddddddddddddddddddddddddffddddddd fdddddefdddddddcdddddddddddddddddddddddddddddddddddddaddddddd fddddefddddddddfbddddddddddddddddddddddddddddddddfbccecdddddd fdddedddddddddddbdddddddddddddddddddddddddddfbccbfdddecdddddd fdfedddddddddddddcddddddddddddddddddddddbccbfddddddddecdddddd faadddddddddddddddcddddddddddddddddbcccfdddddddddddddebdddddd eaddddddddddddddddfbddddddddddfbccbddddddddddddddddddefdddddd efddddddddddddddddddbfddddfbccbdddddddddddddddddddddddadfddddd e fdddddddddddddddddddcbccbfdddddddddddddddddddddddddddadbddddd ge fddddddddddddddddddddddddddddddddddddddddddddddddddddffcddddd fa fdddddddddddddddddddddddddddddddddddddddddddddddddddddacddddd af fdddddddddddddddddddddddddddddddddddddddddddddddddddddacddddd eg fdddddddddddddddddddddddddddddddddddddddddddddddddddddebddddd eg fdddddddddddddddddddddddddddddddddddddddddddddddddddddefddddd ge fdddddddddddddddddddddddddddddddddddddddddddddddddddddedfdddd de fdddddddddddddddddddddddddddddddddddddddddddddddddddddedbdddd aa fdddddddddddddddddddddddddddddddddddddddddddddddddddddadcdddd ed fdddddddddddddddddddddddddddddddddddddddddddddddddddddffcdddd eg fddddddddddddddddddddddddddddddddddddddddddddddddddddddabdddd ge fddddddddddddddddddddddddddddddddddddddddddddddddddddddaddddd de fddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddd aa fddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddd ed fddddddddddddddddddddddddddddddddddddddddddddddddddddddeddddd eg gggggggggggggggggggggggggggggggggggggggggggggggggggggggeggggg ge a ge f g gd f a e e 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,#945b69ff b,#76bc5aff c,#4aa724ff d,#be9ba3ff e,#6e2032ff f,#a9d597ff g,#dbded1ff ``` ```image bc ea de gc deg ge gf aa e bcg e e cb a a gcb gg a fcf a d bcg e d bc de gg gcb aa gd fg ae d cg ea a cb deg a gcb aa e fcf ged e bcg de eg bc ea eg gc ae ed fg ed ea cg eg aa cb a ae gcb ggdd de fcf ggggddddddaaaaaeeeeeeee de bcg gggdddddddaaaaaeeeeeeeeeeeeeeeaaaaaadddddgg geg deeeeaaaaaadddddgggg ed aeafcf ed aed fc aa geg bg aa geg b de dea cb de aea fcf deg aed cc edg geg gcb gfeecb deg fcf gfbccceabc dea fcg gbccccbbg aafc aed bc gfbbccbbfg aegcg gaed c gffbcccbfg de cf eag cf gfbcccbffg gegbb da bcg gfbcccbff gedbb ae cc fbbcccbfg edfc aed gcb gffbcccbfg edfc eg fcf ggbccccbf aagc g fcg gfbcccbfgg aa c bc gfbcccbffg de c gcbfg degb gegf edf edgg ea f aa f ae b de c gegc gedcg edcf edcf aabb aabb defcg degcg ge cf e fg e e a d d gg ``` <!-- end of image --> The evidence is clear: there's 2 intersections in area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#864655ff b,#85c46cff c,#4ca826ff d,#c3c1b1ff e,#6d1d30ff f,#a77783ff g,#e2e3d9ff ``` ```image dd c c c gb bg c c gc dd c c c gb bg c c gb dd c c c gb bg c c g gb e bd fe c ea c gdf c e dg db a gd bg f f c e a c f e gb a e bd e e c dg f c e d c f gd db f f bg e a c gdd e c ggddfffaaeeeeeeeeaafffddd e eeaafffddgg e e bd a da c f ff c dg ad c gd eg db gbccac e bg gbccbg ac ge c gbccbd ec fa c dccbd eb ad gb dbccd edg eg bg gbccbg f d e cbccbg d b ge gdc da fc af ac eg eb e edg ge e d da a b ff f c ad dgc e gdb e f da a ff e ad e eg e e f ge d g gd f a e e e ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#83bab9ff b,#d6cc89ff c,#54a0b0ff d,#c0dce2ff e,#ede5c3ff f,#b1d7b1ff g,#95c997ff ``` ```image d c c c c a da dd ad a c c c c c c a ccca da daccad dd dcccad ad daccca c dacccd c dcccad gffffffffffffffffffffcffffff daccca gffffffffffffffffffffcffffff dacccd gffffffffffffffffffffcffffff dcccad gffffffffffffffffffffcffffff daccca gffffffffffffffffffffcffffff dc gffffffffffffffffffffcffffff da gfffffffffffffffffffaaffffff c gfffffffffffffffffffaafbffff ad gfffffffffffffffffffcffbffff c gfffffffffffffffffffcfbfffff ad gfffffffffffffffffffcfbfffff c gfffffffffffffffffffcfbfffff ad gfffffffffffffffffffcfbfffff c gfffffffffffffffffffcbffffff ad gfffffffffffffffffffcbffffff c gfffffffffffffffffffcbffffff ad gffffffffffffffffffggbffffff c gffffffffffffffffffabfffffff cd gffffffffffffffffffabfffffff c gffffffffffffffffffcbfffffff c gffffffffffffffffffgffffffff c gffffffffffffffffffbffffffff c gffffffffffffffffffbffffffff cgffffffffffffffffffbffffffff cgfffffffffffffffffbaffffffff cfffffffffffffffffbcffffffff cfffffffffffffffffbcffffffff gcffffffffffffffffbaffffffff gcfffffffffffffffbaaffffffff ggcffffffffffffffbafffffffff gfcffffffffffffffbcfffffffff gfacffffffffffffbbcfffffffff be gffcffffffffffffbfcfffffffff ebbbe gffacfffffffffffbfcfffffffff ebbe gfffcfffffffffffbfcfffffffff ebbbe gfffaafffffffffbffcfffffffff ebbb gffffcfffffffffbffcfffffffff bbbe gffffaaffffffffbffcfffffffff ebbbe gfffffcffffffffbfaafffffffff ebbe gfffffaaffffffbffaafffffffff ebbbe gffffffcffffffbffcffffffffff ebbe gffffffaafffffbffcffffffffff ebbbe gfffffffcfffffbffcffffffffff ebbb gfffffffaafffbfffcffffffffff bbbe gffffffffcfffbfffcffffffffff ebbbe gffffffffcaffbfffcffffffffff ebbe gfffffffffcfbffffcffffffffff ebbbegfffffffffcabffffcffffffffff ebbbffffffffcbfffgaffffffffff gffbbbbffffabfffaaffffffffff gfffffbbbbfbcfffagffffffffff gfffffffffbbcaffcfffffffffff gffffffffffffcffcfffffffffff gffffffffffffaafcfffffffffff gfffffffffffffcfcfffffffffff gfffffffffffffaccfffffffffff gffffffffffffffccfffffffffff gfffffffffffffffcfffffffffff gfffffffffffffffffffffffffff gfffffffffffffffffffffffffff gfffffffffffffffffffffffffff ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7bb4bfff b,#d9cb86ff c,#529eb1ff d,#d2e6eaff e,#e3dbadff f,#f2edd5ff g,#a6ccd4ff ``` ```image ca dca dca dcg gcd gcd acd ac cc cc ca dca dcg gcg be gcd bf acd bf acd b ac fe cc ef ca e ca b dca fb gcg bb gcgfbe gcdfbe acdebf ac bb ccfbe ccebf caeb dcgbe dcbbf gcbb gcbe gabe abbf abb abe abf dbb ebb ebg bbg bbd fbad ebad g bbc cg baa cc bca acg bca dcc fecg acg eecg dcc bgcg acd bgcd dca fbacd ac ebac ad fbecc da fbfca cd ebfca ca bb ca acd fbe cg dca ebf cg acd eb cd gca bb cd ccd fbe cd ccd bb c gca fbe c ccd fbe a gcg ebf da cc bb dg gcg fbe dg cc ebf gg gcg eb gd gc fbe ad c ebf a gg bb c dc be c cg fbe c cc ebf dc acg bb dc dcc be gc acg bf gc acd b ac dca fe ac acd ef cc dca b cc acd b ca bef dcafb dca bbbbef aceb dca febbbbef dcbb dcg febbbbbf ebg gcd ffebbbbef ebc gcd ebbbbbbbc acd febbead ac f dc cc cg cc cc ca gcg dca ccd dcg acdgcg dcagcd acccd dcccd acc cc dd ``` <!-- end of image --> Incredible, there's actually 2 intersections in area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#76b2beff b,#dacd89ff c,#519eb0ff d,#c1dce2ff e,#e9e1b9ff f,#ecf0e8ff g,#9bc6d0ff ``` ```image d c c c c a dg dd gd a c c c c c c fa cccgf dg daccad gd fgcccad af fgcccgf a daccad c gcccad c fgcccgf c daccad c gcccad c fgcccgf c dc fa gg dg f c gd b gg af b c c ee gd c b c c b ad cfb c cef ad cb c ab ad dge c db af gb c ab cf ae c b cf b fc fb c ea fc bc c ba fc fbg c bgd fa baf c ba da eec be c b c ebbbf da b c ebbe c b c fbbbe da ef c ebbef c b c fbbbe gg b fa ebbbf c fe dg ebbe gg bf gd fbbbf c b af ebbef gg b c fbbbe c ee c ebbbf gd b c febbe c b c ebbbf ad b c ebbe c ef c fbbbe adb a ebbef cb dg fbbbe ab dd ebbbfbc gd febad a c c gg c c c dac cc fc ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#40ed40ff b,#7772b3ff c,#b1d8b1ff d,#edf6eeff e,#0dec0fff f,#361ba0ff g,#8ed090ff ``` ```image c aa ec e ce aa ec e ce aa ec e ce g aa ee ec ece e e eg e e d ce eg e ca fb aa ea ed ac fb ec ea ac e fc de aa ga e fd ce aa da ca fd aa ae e ac df ed ae e e df de ge e e cf ce ge e ca bf aa ce ed ac bf ed ce ac e fb de de gg e fb ce ded ca ca fc aa ded e ac fgggggggggeggggggd ed e e gfcccccccccecccccd ed e e gcfccccccccgeccccd ec e ca gcgfcccccccceacccd ec e ac gccbfccccccccegccd eg ac e gcccbfcccccccceccd eg gg e gccccffcccccccgecd ea ca ca gcccccffcccccccead ea de ac gccccccfbcccccccecaa e e gcccccccfbccccccgee e e gccccccccfgccccccd e ca gcccccccccfccccccd dddddddddedddddddddddddacddddddd gccccccccccfcccccd dgccccccccegccccccccccccecccccccgd gccccccccccgfccccd dcccccccccaacccccccccccceccccccccd gcccccccccccbfcccd dcccccccccgacccccccccccgaccccccccd gccccccccccccbfccd dccccccccccecccccccccccagccccccccd gcccccccccccccffcd dccccccccccecccccccccccecccccccccd gccccccccccccccffd dccccccccccecccccccccccecccccccccd cgggggggggggggggfbd dcccccccccceccccccccccgacccccccccd bffffbc dcccccccccceccccccccccagcccccccccd dbfffffbd dccccccccccegccccccccceccccccccccd cbffffbc dccccccccccagccccccccceccccccccccd dbfffffbcccccccgaccccccccgaccccccccccd dcbbffffbgcgeccccccccagccccccccccd dcccccccbfffefbccccccecccccccccccd dcccccccccccebbffffbgecccccccccccd dccccccccccceccccccbfefffbcccccccd dcccccccccccecccccccagccbbffffbgcd dcccccccccccegccccccecccccccccbfcd dcccccccccccagcccccceccccccccccccd dcccccccccccaacccccgaccccccccccccd dcccccccccccgecccccagccccccccccccd dccccccccccccecccccecccccccccccccd dccccccccccccecccccecccccccccccccd dcccccccccccceccccgacccccccccccccd dcccccccccccceccccagcccccccccccccd dccccccccccccecccceccccccccccccccd dccccccccccccagccceccccccccccccccd dccccccccccccaaccgaccccccccccccccd dgggggggggggggeggegggggggggggggggd e e e e e ca e ac e e ace gaa cec de e ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#5ff260ff b,#624ab6ff c,#9b8bd0ff d,#9bf79cff e,#15ed16ff f,#3415a1ff g,#d6dbe6ff ``` ```image fg geed ffg deeg bffg aee bffg eea bfb geed gffb deeg gffb aee gffc eea gffc geed cffc deeg cffg aee cffg eea bffg geed bffg deeg bfb aee gffb ee gffb ge gffc d gffc cffc cffg cffg bffg bffg bfb gffb gffb gffc gffc cffc cffg cffg bffg bffg bfb gff gf ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Okay, on to the next area of interest. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#3df03eff b,#7562bdff c,#b7acddff d,#b6f9b7ff e,#0cec0dff f,#3315a0ff g,#79f47aff ``` ```image ee aed ee ee aed dea aed geg geg aed geg ee dea dea dea geg ee aed ee ee aed dea aed geg geg aed geg ee dea dea dea geg ee aed ee ee aed dea aed geg ged aed bc geg ee ffffbbcc deg dea bbffffffffbbc dea geg ccbffffffffbbcc dee aed ccbbffffffffbbee ee ccbfffffeefbbcc dea ccbeefffffffbbc geg aegccbffffffffbbccaed geg ccbbffffffeebbc geg ccbbeefffffbbcc dea gegcbbffffffffbbc dea aed ccbffffffffbbcc ee ee ccbbffffffb ee dea ccbfb aed geg aed aed geg ee geg dea dea geg dea aed ee ee ee dea aed geg aed aed geg ee geg dea dea geg dea aed ee ee ee dea aed geg aed aed geg ee geg dea dea geg ``` <!-- end of image --> The lines cross each other within area B, forming 2 intersections. Answer: A: 0; B: 2; 0 + 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#3cf03dff b,#6e5abaff c,#b9aedeff d,#b7f9b7ff e,#0cec0eff f,#3414a1ff g,#75f476ff ``` ```image d aa ed e de aa ed e de aa ed e de g aa ee ed ede e e ed e e de eg e da fb aa eg e ad fb ed ea ad e fc e aa gg e fc de aa da da f aa ae e ad f ed ge e e cf e ge e e cf de ge e da bf ag de e ad bf ed de ad e fb e de gg e fb de e da da fc ag e e ad fc ed e e e f e ed e e f de ed e da cf ag ed e ad cf ed eg ad e bf e eg gg e bf de ea da da fb ag aa e ad fb edaa e e fc ee e e fc e da f e ad f ad e cf gg e cf da da bf e ad bf e e fb e e fb e da bffffbc e ad cbfffbc ad e cbffffbc gd e cbfffbc dg da cbffffbc de ad cbffebc e ecbffffbce e cbeffbc e ad cbffffbc e e cf ad e gg da da ad e e e e e da e ad e e ad e gg da da ad e e e e e da e ad e e ade gaa ded e e ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#b37747ff b,#a2b8b9ff c,#b99b74ff d,#dcc1acff e,#eff4edff f,#99c895ff g,#b1d7b1ff ``` ```image ggggggggggggggggggggggge ggggggggggggggggggggggge ggggggggggggggggggggggge ggcacgggggggggggggggggge gggaagggggggggggggggggge gggaafggggggggggggggggge eac ggbcaaggggggggggggggggge aad gggbaaggggggggggggggggge daa ggggcaagggggggggggggggge aae gggggaabggggggggggggggge caa gggggaacbgggggggggggggge eaa gggggfaabgggggggggggggge aad ggggggaabbggggggggggggge daa ggggggcaabbgggggggggggge aae gggggggaabbbggggggggggge aac gggggggaacbbbgggggggggge eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeeeeeeee ggggggggaagbbbggggggggge fggggggggggggggggggggggggggggggggggaacggggggggf ggggggggaafgbbbgggggggge fgggggggggggggggggggggggggggggggggcaagggggggggf ggggggggcaaggbbbggggggge fgggggggggggggggggggggggggggggggggaaggggggggggf gggggggggaagggbbbgggggge fggggggggggggggggggggggggggggggggaaaggggggggggf gggggggggcacgggbbbggggge fgggggggggggggggggggggggggggggggfaagggggggggggf ggggggggggaaggggbbbgggge fgggggggggggggggggggggggggggggggaafgggggggbgggf ggggggggggaacggggbbbggge fggggggggggggggggggggggggggggggcaagggggggbbbggf ggggggggggfaagggggbbggge fggggggggggggggggggggggggggggggaagggggggbbbgggf gggggggggggaaggggggbbgge fgggggggggggggggggggggggggggggaacgggggbbbbggggf gggggggggggcaagggggbbbge fggggggggggggggggggggggggggggfaagggggbbbggggggf ggggggggggggaaggggggbbbe fggggggggggggggggggggggggggggaafggggbbbgggggggf ggggggggggggaacggggggbbb fgggggggggggggggggggggggggggcaaggggbbbggggggggf fffffffffffffaafffffffbbb fgggggggggggggggggggggggggggaaggggbbbgggggggggf aae bbb fggggggggggggggggggggggggggaacgggbbbggggggggggf daa bbb fgggggggggggggggggggggggggcaaggbbbbgggggggggggf aa bbb fgggggggggggggggggggggggggaafgbbbgggggggggggggf cac bbg fggggggggggggggggggggggggaaagbbbggggggggggggggf aa ebbg fggggggggggggggggggggggggaagbbbgggggggggggggggf aad ebbe fgggggggggggggggggggggggaacbbbggggggggggggggggf daa ebbe fggggggggggggggggggggggcaabbbgggggggggggggggggf aa ebbe fggggggggggggggggggggggaabbbggggggggggggggggggf cac gbb fgggggggggggggggggggggaaabggggggggggggggggggggf aa bbb fgggggggggggggggggggggaabgggggggggggggggggggggf aad bbb fggggggggggggggggggggaacggggggggggggggggggggggf eaa bbb fgggggggggggggggggggcaagggggggggggggggggggggggf aae bbb fgggggggggggggggggbbaaggggggggggggggggggggggggf daa bbb fggggggggggggggggbbaaaggggggggggggggggggggggggf aa bbg fgggggggggggggggbbbaagggggggggggggggggggggggggf cad ebbgfggggggggggggggbbbaacgggggggggggggggggggggggggf eaa ebbfgggggggggggggbbbcaaggggggggggggggggggggggggggf aae ebbggggggggggggbbbgaagggggggggggggggggggggggggggf daa ebbgggggggggbbbbgaaagggggggggggggggggggggggggggf aa bbbgggggggbbbbgfaaggggggggggggggggggggggggggggf cac fbbbgggggbbbgggaacggggggggggggggggggggggggggggf aa fgbbbgggbbbgggcaagggggggggggggggggggggggggggggf aad fggbbbgbbbggggaaggggggggggggggggggggggggggggggf eaa fgggbbbbbggggaacggggggggggggggggggggggggggggggf aae fggggbbbggggfaagggggggggggggggggggggggggggggggf daa fgggggggggggaafgggggggggggggggggggggggggggggggf aa fggggggggggcaaggggggggggggggggggggggggggggggggf aad fggggggggggaagggggggggggggggggggggggggggggggggf eaa fgggggggggaacgggggggggggggggggggggggggggggggggf aae fggggggggcaaggggggggggggggggggggggggggggggggggf daa fggggggggaafggggggggggggggggggggggggggggggggggf aa eeeeeeeecaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cac eaa aa aad aad daa daa aae aae caa cac eaa aa aad aad daa eaa aae aae aac daa eaa aa aad cac daa aa aae aad aac daa eaa aa aad cac caa aa aa aaaac eaaa aad ed ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b37647ff b,#a3b7baff c,#d0ae92ff d,#e0c8b5ff e,#e8e7e4ff f,#b9916fff g,#c1cfd1ff ``` ```image dfe daaac daaaa aaaad caaaf eaaaae gfaaac gbfaaaae ebbaaaac ebfaaaa gbaaaad gfaaaf baaaab aaaafg daaaabg aaaafbg caaaabbg eaaaabbbe faaafbbbe daaaabbbbe aaaafbbbbe caaaabbbbbe eaaaacbbbbb faaafgbbbbb daaaaegbbbbg faaac gbbbbg daaaa bbbbbg eaaaad bbbbbg caaaf ebbbbbe eaaaae ebbbbbe faaac ebbbbbe daaaa ebbbbbe aaaad ebbbbbe caaaf gbbbbb eaaaad gbbbbb faaaf gbbbbg daaaae gbbbbg aaaac bbbbbg caaaa bbbbbg eaaaad ebbbbbg caaaf ebbbbbe eaaaae ebbbbbe faaac ebbbbbe daaaa ebbbbbe aaaad gbbbbb caaaf gbbbbb eaaaae gbbbb faaac gbbb daaaae gbb aaaac bb caaaa b ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Alright, let's examine the next area. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#b37647ff b,#a3b7baff c,#caa88cff d,#dfc7b3ff e,#e9e8e5ff f,#bc8d67ff g,#c1cfd1ff ``` ```image faaaae daaaad aaaaf caaaae eaaaac faaaa daaaad eaaaaf caaaae eaaaac faaaf ge daaaad gbbe eaaaaf gbbbb caaaae ebbbbbbe eaaaac ebbbbbbe faaaf ebbbbbb daaaad gbbbbbg eaaaac gbbbbbg caaaae gbbbbbe daaaad ebbbbbbe faaaf ebbbbbbe caaaad ebbbbbb eaaaac gbbbbbg faaaae gbbbbbg daaaad gbbbbbe faaaf ebbbbbbe caaaae ebbbbbbe eaaaac ebbbbbg faaaae gbbbbbg daaaad gbbbbbg aaaaf gbbbbbe caaaae ebbbbbbe eaaaac ebbbbbbe faaaa ebbbbbg daaaad gbbbbbg eaaaaf gbbbbbg caaaaegbbbbbe eaaaacbbbbbbe faaaabbbbbbe daaaacbbbbg eaaaafbbbbg caaaabbbbg eaaaafbbbe faaaabbbe daaaacbbe eaaaafbg faaaabg caaaafg baaaaae ebfaaaad ebbaaaac gbbfaaaae gbbcaaaad gbbbaaaaf bbbbfaaaae ebbbbbaaaac ebbbbbfaaaae gbbbbbcaaaad gbbbbbgaaaaf e gbbbbbgcaaaae be bbbbbbeeaaaac bbe ebbbbbbe faaaa bbbe ebbbbbbe daaaad bbbbe gbbbbbg eaaaaf bbbbb gbbbbbg caaaae gbbbbb gbbbbbg eaaaac gbbbbg ebbbbbbe faaaf gbbbbg ebbbbbbe daaaad bbbbbg ebbbbbb eaaaaf bbbbbg gbbbbbg caaaae ebbbbbg gbbbbbg eaaaac ebbbbbe gbbbbbg faaaf ebbbbbbbbbbbe daaaad ebbbbbbbbbe eaaaac ebbbbbbb caaaae gbbbbg daaaad gbbg faaaf caaaad eaaaac faaaae daaaad faaaf caaaae eaaaac faaaae daaaad aaaaf caaaae ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b37646ff b,#a3b7baff c,#cda98cff d,#e2cbb9ff e,#eceae6ff f,#bd8d67ff g,#c1cfd1ff ``` ```image dac aa aad eac gcaa aac baa daa faf aae aag faf aacg eaa eaabe aac aabbe caa caabbe aae aagbb faf facgbb eaa eaa bbb aad aae bbb caa daa bbb aae aa bbb aaf fac bbg eaa aa bbg aad be aad ebbg caa ebbb daa ebbe aa ebbb aa ebbe aac gbbg caf gbb daa bbbe aa gbb aad bbb aac bbb faa bbb eaa bbb aa ebbb aae bbb aac ebbg daa bbb daa gbbg aa bbb aae bbbe fac bbg faa bbb aa bbg eaa bbb aad ebbe aacbbb daa ebbe daabbg aa gbb aabbg caf gbb faabe aa bbb eaab aad bbb aaf eaa bbb efaa aae bbb gbaae caa bbb gbaaf aa bbg bbbaa fac bbg bbbaad aa ebbe bbbcaa aae ebbe ebbb aae daa gbbe gbbg aaf aa gbb gbbg eaa caf gbb bbbe aad aa bbb bbb caa aad bbb bbb aa eaa bbbbb aac aae bbg daa caf e aad aa faa fac aa eaa aac aae daa daa aae aa faa fac eaa aa aac aad daa daa aae aa faf caf eaa aa aac aad caa eaa aae aae faf daa eaa aa aad fac caa aa aae aad aaf daa eaa aa aad caf caa aa aa aaaac eaaa aad ed ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#465c6cff b,#1977cbff c,#152c45ff d,#afd5b0ff e,#64a4d2ff f,#7c8f94ff g,#c6d5e3ff ``` ```image dddddddddddddddd dddddddddddddddd dddddddddddddddd ddfccddddddddddd ddfccddddddddddd g dddccddddddddddd dcc dddccddddddddddd acf dddbcddddddddddd ccg ddebbddddddddddd cc dddbbedddddddddd cc dddabbdddddddddd dcc dddcbbeddddddddd aca dddccbbddddddddd g ccg dddccbbbdddddddd bbe cc dddccfbbdddddddd bbbb cc dddacfbbbddddddd gbbbbbg dcc dddacadbbddddddd ebb bbbe aca dddacadbbbdddddd ebe ebbb ccd dddfccddbbdddddd bbg gbbbg cc dddfccddebbddddd bbg bbbe cc ddddccdddbbedddd bb ebbb gcc ddddccdddebbdddd bb gbbbg fca ddddccddddbbeddd bb bbbe ccd ddddccdddddbbddd bb ebbb cc ddddccdddddbbbdd bb gbbb cc ddddccddddddbbdd gbb bbbg gcc ddddccddddddbbbd gbb bbbe fca ddddccdddddddbbd ebe ebbb ccd ddddccdddddddebb ebe gbbb cc ddddccfdddddddbbg bbg bbbg cc ccf ebb bb bbbe gcc acf bbe bb ebbb fca fca gbb bb gbbb ccf fca bbebb bbbg cc dcc gbbbb bbbe cc gcc bbbb ebbb gcc gcc bbb gbbb fca cc ebe bbbg dddddddddddddccaddddddd cc e bbbe dddddddddddddccdddddddd cc ebbb dddddddddddddccdddddddd cc gbbb dddddddddddddccdddddddd cc bbbg ddddddddddddfccdddddddd cc bbbe ddddddddddddccadddddddd ccg ebbbddddddddddddccddddddddd ccg gbbbdddddddddddccddddddddd ccd bbbedddddddddccddddddddd acf bbbbdddddddfccddddddddd acf debbbddddddacaddddddddd fca dddbbbdddddccdddddddddd fca ddddbbbedddccdddddddddd dcc dddddbbbbddccdddddddddd gcc ddddddebbbfccdddddddddd cc ddddddddbbbcadddddddddd cc dddddddddbbbedddddddddd cc ddddddddddbbbbddddddddd cc ddddddddddcabbbdddddddd cc dddddddddfccdbbbddddddd cc dddddddddacaddbbbeddddd cc dddddddddccfdddbbbbdddd ccg dddddddddccdddddebbbddd ccg dddddddddccdddddddbbbdd ccf ddddddddfccddddddddbbbd acf ddddddddacadddddddddbdd fca ddddddddccfdddddddddddd fca ddddddddccddddddddddddd dcc ddddddddccddddddddddddd gcc dddddddfccddddddddddddd gcc dddddddacaddddddddddddd cc dddddddccfddddddddddddd cc dddddddccdddddddddddddd cc dddddddccdddddddddddddd cc gcc cc fca cc ccd cc cc ccg cc ccd gffacccccc acf gdfaccccccccccccccccf acf gdfaccccccccccccccccccccafdg fca gdfaacccccccccccccccccccafdg fca gffacccccccccccccccccccaffg dcccccccccccccccccccccaffg gccccccccccaafdg ffdg ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#4b6076ff b,#1976cbff c,#152d46ff d,#a5c0d8ff e,#5d9fdaff f,#8b97a3ff g,#d6e0e9ff ``` ```image gdfff dcccc dcccc gccccg gccccg gccccg ccccd ccccd ccccf abbcf dbbbbf ebbbba gbbbbb bbbbbd fbbbbb fabbbbd fcbbbbb dccbbbbe dccbbbbbg gcccbbbbe gcccbbbbbg ccccbbbbe ccccebbbbd ccccfbbbbb ccccfdbbbbd acccf bbbbb acccf dbbbbd accca bbbbbg accca dbbbbe fccca ebbbbg fccca gbbbbe fcccc ebbbbg dcccc gbbbbe dcccc ebbbbd gccccg bbbbb gccccg dbbbbd gccccg bbbbb ccccd dbbbbe ccccd ebbbbg ccccf gbbbbe acccf ebbbbg acccf gbbbbe acccf ebbbbg accca gbbbbe fccca dbbbbd fccca bbbbb fccca dbbbbd fcccc bbbbb dcccc dbbbbe dcccc ebbbb gccccg gbbbb gccccg ebbb gccccd gbbb ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Time for a closer look at another area. This close-up might reveal an intersection in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#536478ff b,#1976cbff c,#162d46ff d,#a5bfd6ff e,#589cd9ff f,#8894a1ff g,#d5e1ecff ``` ```image accca ccccf gccccd dccccg fcccc accca ccccf gccccd dccccg fcccc accca ccccf g ccccd bd dccccg bbe fcccc bbbe accca bbbbbg acccf bbbbbbd ccccd dbbbbbbe gccccg gbbbbbbe fcccc ebbbbbbg accca dbbbbbbd acccf dbbbbbbe ccccd gbbbbbbe gccccg ebbbbbbg fcccc dbbbbbbd fccca dbbbbbbe acccf gbbbbbbeg ccccf ebbbbbbg gccccg dbbbbbbddcccc dbbbbbbbccca gbbbbbbbcca ebbbbbbcf dbbbbbbe dbbbbbbe fbbbbbbeg acbbbbbbbg cccabbbbbbd gccccdbbbbbbe dcccc gebbbbbeg fcccc ebbbbbbg accca dbbbbbbd ccccf gbbbbbbe gccccd gebbbbbeg dccccg ebbbbbbg fcccc dbbbbbbd accca gbbbbbbe ccccf gebbbbbeg gccccd ebbbbbbg dccccg dbbbbbg fcccc gbbbd accca gee ccccf gccccd dccccg fcccc accca ccccf ccccd dccccg fcccc accca acccf ccccd gccccg fcccc accca ``` <!-- end of image --> My investigation has led me to 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#46596eff b,#1876ccff c,#152c45ff d,#a6b7c7ff e,#5c9edaff f,#798694ff g,#cedce8ff ``` ```image dcc gcc g gcc dcc cc acf bc ccg ebb cc bbd cc abb dcc cbbe acf ccbb gg ccd ccbbe bbe cc ccdbb bbbb cc acfbbb gbbbbbg dcc acf bb dbb bbbe aca fca ebb ebe ebbb ccd dcc bbg bbd gbbbg cc dcc ebb bbg bbbe cc gcc bbd bb ebbb dcc cc dbb bb gbbbg fca cc bbe bb bbbe ccd cc gbb bb ebbb cc cc bbe bb gbbb cc cc bb gbb bbbg gcc cc bbb dbb bbbe fca cc bbg ebe ebbb ccd ccg ebb ebd gbbb cc ccd bbg bbg bbbg cc ccd dbb bbg bbbe gcc acf bbd bb ebbb fca fca gbb bb gbbb ccd fca bbebb bbbg cc dcc gbbbb bbbe cc gcc bbbb ebbb gcc gcc bbb gbbb fca cc ebe bbbg ccf cc d bbbe ccg cc ebbb cc cc gbbb cc cc bbbg fcc cc bbbe acf ccg ebbb ccg ccg gbbb cc ccd bbbd cc acf bbbe dcc acf ebbb acf fca gbbb ccg fca bbbd cc dcc bbbe cc gcc dbbbdcc cc gbbbcf cc bbbe cc bbbe cc cabbb cc dccgbbbg cc acf bbbd cc ccd ebbe ccg cc dbbb ccd cc gbbbg ccd dcc bbb acf aca e fcf ccd fca cc dcc cc dcc dcc gcc fca cc ccd cc cc cc cc cc gcc cc fca cc ccd cc cc ccg cc ccd ddfacccccc acf gdfaccccccccccccccccf acf gdfaccccccccccccccccccccafdg fca gdfaacccccccccccccccccccafdg fca gdffacccccccccccccccccccafdg dcccccccccccccccccccccaffdg gccccccccccaafdg ffdg ``` <!-- end of image -->
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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,#1d848eff b,#21f3efff c,#93c89bff d,#6bede0ff e,#e6f4f0ff f,#62aba8ff g,#b0d7b1ff ``` ```image cggggggggggggggggggggggggggggg cggggggggggggggggggggggggggggg cggggggggggggggggggggggggcgggg cgggggggggggggggggggggggfaaggg cgggggggggggggggggggggggaaaggg cggggggggggggggggggggggaaadggg cgggggggggggggggggggggbaafgggg cgggggggggggggggggggdbaaaggggg cggggggggggggggggggdbbaacggggg cgggggggggggggggggbbbaaagggggg cggggggggggggggggbbbaaaggggggg cgggggggggggggggbbbbaafggggggg cggggggggggggggbbbdaaagggggggg cgggggggggggggbbbdfaacgggggggg cggggggggggggbbbdgaaaggggggggg cgggggggggggbbbggaaagggggggggg cgggggggggdbbbgggaafgggggggggg cggggggggdbbbgggaaaggggggggggg cgggggggbbbbgggfaacggggggggggg cggggggbbbbggggaaagggggggggggg cgggggbbbbggggaaaggggggggggggg cggggbbbdgggggaafggggggggggggg cgggbbbdgggggaaagggggggggggggg cggbbbdgggggfaacgggggggggggggg cdbbbgggggggaaaggggggggggggggg dbbbgggggggaaagggggggggggggggg dbbbgggggggcaafgggggggggggggggg bbbbggggggggaaaggggggggggggggggg bbbbggggggggfaacggggggggggggggggg bbbb eeeeeeeeaaaeeeeeeeeeeeeeeeeee bbbd aaa ebbbd eaaf ebbbe aaa ebbbe caae dbbb aaa dbbb aaa bbbb eaaf fe bbbb aaa aaa bbbd faae eaaf bbbd aaa faag ebbbd aaa aaa ebbbe eaaf aaa ebbbe aaa gaaf dbbb faae aaae dbbb aaa aaaccccccccccccccccccccc bbbb aaa caaagggggggggggggggggggge bbbb eaac cfaafggggggggggggggggggge bbbd aaa cgaaagggggggggggggggggggebbbd faae cggaaagggggggggggggggggcbbbd aaa cggcaaaggggggggggggggggbbbe aaa cgggaaacgggggggggggggdbbbe eaac cggggaaaggggggggggggdbbbe aaa cgggggaaaggggggggggbbbbge faae cgggggfaafggggggggbbbbgge aaa cggggggaaacggggggbbbbggge aaa cgggggggaaagggggbbbdgggge eaac dbbbbddgggggggaaagggbbbdggggge aaa dbbbbbbbbbbbbbfaafgbbbdgggggge faae eeddbbbbbbbbbbbaaabbbgggggggge aaa cggggddbbbbaaabggggggggge aaa cggggggggggcaaaggggggggge eaag cgggggggggggaaacgggggggge aaa cggggggggggggaaagggggggge faae cgggggggggggggaaaggggggge aaa cgggggggggggggfaafgggggge aaa cggggggggggggggaaacggggge eaag cgggggggggggggggaaaggggge aaa cggggggggggggggggaaagggge faae cggggggggggggggggfaafggge aaf cgggggggggggggggggaaaggge aaa cggggggggggggggggggaaagge gaag cggggggggggggggggggcaaage aaa cgggggggggggggggggggaaace faae cggggggggggggggggggggaaae aaf eeeeeeeeeeeeeeeeeeeeeaaa aaa gaaf gaag aaae aaa aaa faae eaaa aaf faaaaa aaaag aaa ea ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1c848dff b,#1ff3efff c,#91c3c8ff d,#99f9f7ff e,#d0edeeff f,#54f4f1ff g,#4fa0a7ff ``` ```image aaaag aaaaac gaaaaae eaaaaaae eaaaaag caaaaac gaaaaae eaaaaaa caaaaag gaaaaac gaaaaae e eaaaaag eb caaaaac dbb gaaaaae dbbb eaaaaaae dbbbb eaaaaag fbbbbb caaaaac fbbbbbb gaaaaae fbbbbbbd eaaaaag efbbbbbbd caaaaag ebbbbbbbe gaaaaac ebbbbbbbe gaaaaae dbbbbbbfe eaaaaag dbbbbbbf caaaaac dbbbbbbf gaaaaae fbbbbbbf fddde eaaaaaae fbbbbbbd bbbbbbbfffddee eaaaaag fbbbbbbd bbbbbbbbbbbbbbbbffgaaaaac efbbbbbbd bbbbbbbbbbbbbbbbbbbaaaaaafbbbbbbbe bbbbbbbbbbbbbbbbbbbbaaaaaabbbbbbe edddffbbbbbbbbbbbbbbbaaaaaabbbfe eeddfffbbbbbbaaaaaabbf edddfaaaaaaf eaaaaag caaaaac gaaaaae eaaaaaae eaaaaag caaaaac gaaaaae eaaaaag caaaaag gaaaaac aaaaaae eaaaaag caaaaac gaaaaae eaaaaaae caaaaag caaaaac gaaaaae eaaaaag caaaaag gaaaaac aaaaaae eaaaaag caaaaac gaaaaa eaaaaa caaaa ``` <!-- end of image --> Incredible, there's actually 1 intersection in area A! Hmm, interesting. Let's check out another area. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#1b838dff b,#20f3efff c,#91c4c9ff d,#9af9f7ff e,#d1eff0ff f,#56f4f2ff g,#48a4abff ``` ```image ee gage caaaac eaaaaag gaaaaaf faaaaagd efaaaaaad ebgaaaaac ebbaaaaag dbbgaaaaae dbbbaaaaac dbbbaaaaag fbbbgaaaaae fbbbbaaaaag fbbbbgaaaaae efbbbbbaaaaac ebbbbbbaaaaag ebbbbbbgaaaaae dbbbbbbbaaaaag dbbbbbbfgaaaaae dbbbbbbfeaaaaac fbbbbbbf gaaaag fbbbbbbd caaaaae fbbbbbbd eaaaaag efbbbbbbd gaaaaae ebbbbbbbe eaaaaac ebbbbbbbe gaaaag dbbbbbbfe caaaaae dbbbbbbf eaaaaag dbbbbbbf gaaaaae fbbbbbbf eaaaaac fbbbbbbd gaaaag fbbbbbbd caaaaae ebbbbbbbd eaaaaag ebbbbbbbe gaaaaae ebbbbbbbe eaaaaac dbbbbbbfe gaaaag dbbbbbbf caaaaae dbbbbbbf eaaaaag fbbbbbbf gaaaaae fbbbbbbd eaaaaac fbbbbbbd gaaaag ebbbbbbbd caaaaae ebbbbbbbe eaaaaac ebbbbbbbe gaaaaa dbbbbbbfe eaaaaac dbbbbbbf gaaaag bbbbbbf caaaaae bbbbbf eaaaaac bbbbd gaaaaa bbbd eaaaaac bbe gaaaag be caaaaae ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#1b838dff b,#20f3efff c,#82bbc0ff d,#9ef9f7ff e,#d1ecedff f,#5cf6f3ff g,#3d98a0ff ``` ```image e caa aaa aaad ebaag dbaaa fbgaae fbbaaa bbbaaa bbbbaac bbbfaaa bbbdcaae ebbbd aaa ebbbe gaa dbbb eaac fbbb aaa fbbb caae bbbb aaa bbbf gaa bbbf eaac bbbd aaa ebbbd caae dbbbe aaa dbbb gaa fbbb eaac fbbb aaa bbbb caae bbbf aaa bbbf gaa bbbd eaac ebbbe aaa dbbbe caae dbbb aaa fbbb gaa bbbb eaac c bbbb aaa aaa bbbf caae eaag bbbf aag gaae bbbd gaa aaa ebbbe eaac aaa dbbbe aaa caac fbbb caae gaae fbbb aag aaa bbbb gaa eaaa bbbb eaac caac bbbf aaa aaa bbbf caae aaa bbbd aag eaag ebbbe aaa gaae dbbb eaac aaa fbbb aaa aaa fbbb caae caac bbbb aag gaae bbbb aaa aaa bbbf eaac dbbbbfde eaaa bbbd aaa fbbbbbbbbbbbbfgaacebbbd caae ddfbbbbbbbbbbbaaabbbe aag edfbbbbaaab aaa eaag eaac gaae aaa aaa caae aaa aag caac aaa gaae eaac aaa aaa eaag caae caac aag aaa aaa aaa eaac eaag aaa gaae caae aaa aag aaa aaa caac eaac gaae aaa aaa gaa eaag aag caaaaa aaaac aaa eg ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#572a4cff b,#899006ff c,#b2d7b1ff d,#7d6575ff e,#ebede7ff f,#a4b256ff g,#9cc096ff ``` ```image bbc bbbbbbfc bbbbbbbbbbbfe e fbbbbbbbbbbbbbbbfe daae cfbbbbbbbbbbbbbbbc eaaad egbbbbbbbbbbbbbbbfc aaaad efbbbbbbbbbbbbbbf daaaad efbbbbbbbbbb aaaaad cfbbbbbb aaaaaad fbbbe caaaaaad bbbb aaaaaaad fbbbe daaaeaaad bbbb eaaaa aaad cbbbc aaaa aaad bbbb gaaag aaad cbbbc aaaa aaad bbbb aaaae aaaa ebbbg eaaad aaaa bbbb aaaa aaaa ebbbf daaac aaaa bbbb aaaa daaa bbbf gggggggggggggggggggggggggggaaaagggggggaaaaggg bbbb eccccccccccccccccccccccccccdaaadcccccccdaaaccc bbbbeccccccccccccccccccccccccccaaaaccccccccdaaaccc fbbbecccccccccccccccccccccccccaaaagccccccccdaaaccc bbbbccccccccccccccccccccccccgaaaacccccccccdaaaccc fbbbgcccccccccccccccccccccccaaaaccccccccccdaaaccc bbbbccccccccccccccccccccccdaaadccccccccccdaaaccc gbbbgcccccccccccccccccccccaaaacccccccccccdaaaccc bbbbccccccccccccccccccccaaaaccccccccccccdaaaccc cbbbfccccccccccccccccccgaaadccccccccccccdaaaccc bbbbccccccccccccccccccaaaacccccccccccccdaaafcc cbbbfccccccccccccccccdaaagcccccccccccccdaaafcc ebbbbccccccccccccccccaaaaccccccccccccccdaaaccc egbbbfccccccccccccccaaaacccccccccccccccaaaaccc ecbbbbcccccccccccccdaaadcccccccccccccccbaaaccc eccbbbfccccccccccccaaaaccccccccccccccccbaaaccc eccbbbbcccccccccccaaaagcccccccccccccccfbaaaccc ecccbbbbcccccccccgaaaaccccccccccccccccbbaaaccc ecccbbbbcccccccccaaaacccccccccccccccccbbaaaccc eccccbbbbcccccccdaaagccccccccccccccccgbbaaaccc eccccfbbbcccccccaaaacccccccccccccccccbbbaaaccc ecccccbbbbcccccaaaaccccccccccccccccccbbbaaaccc ecccccfbbbgcccgaaadccccccccccccccccccbbbaaaccc eccccccbbbbcccaaaaccccccccccccccccccfbbbaaaccc eccccccfbbbgcaaaagccccccccccccccccccbbbbaaaccc ecccccccbbbbgaaaacccccccccccccccccccbbbfaaaccc ecccccccgbbbaaaacccccccccccccccccccgbbbgaaaccc eccccccccbbaaaadcccccccccccccccccccbbbbgaaaccc eccccccccgbaaaaccccccccccccccccccccbbbfgaaaccc ecccccccccaaaacccccccccccccccccccccbbbggaaaccc eccccccccgaaaafcccccccccccccccccccfbbbccaaaccc eccccccccaaaabbcccccccccccccccccccbbbbccaaaccc ecccccccdaaabbbbccccccccccccccccccbbbfccaaaccc ecccccccaaaabbbbcccccccccccccccccgbbbcccaaaccc eccccccaaaaccbbbbccccccccccccccccbbbbcccaaaccc ecccccdaaadccfbbbccccccccccccccccbbbbcccaaaccc ecccccaaaaccccbbbbcccccccccccccccbbbgcccaaaccc eccccaaaagccccfbbbgcccccccccccccfbbbccccaaaccc ecccgaaaaccccccbbbbcccccccccccccbbbbccccaaaccc ecccaaaacccccccfbbbgccccccccccccbbbfccccaaaccc eccdaaagccccccccbbbbcccccccccccgbbbcccccaaaccc eccaaaacccccccccfbbbfccccccccccfbbbcccccaaaccc ecaaaacccccccccccbbbbccccccccccbbbbcccccaaaccc dade daaadgggggggggggfbbbfgggggggggbbbfgggggaaaggg aaaaaac aaaa bbbb cbbb aaae eaaaaaaaaag daaae ebbbf bbbb aaae edaaaaaaaaaade eaaaa bbbb bbbf aaae gaaaaaaaaaade aaaa ebbbf ebbb aaae caaaaaaaaaaac gaaag bbbb fbbb edaaaaaaaaaag aaaa bbbb bbbb edaaaaaaaaaade aaaae fbbb bbbc gaaaaaaaaaaac eaaad bbbb cbbb caaaaaaaaaaag aaaa fbbbe bbbb edaaaaaaaaaaaaac bbbb bbbf edaaaaaaaaaa fbbbebbb gaaaaaa bbbbbbb caac cbbbbbb bbbbbc cbbbb bbbb ebbc ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#57294cff b,#888f06ff c,#c8c3a4ff d,#9e8397ff e,#e4e1d8ff f,#abb04eff g,#79556fff ``` ```image daaaaaaad gaaaaaa eaaaaaaag gaaaaaa gaaaaaaae gaaaaaa caaaaaaad gaaaaaa eaaaaaaaa gaaaaaa daaaaaaac gaaaaaa eaaaaaaag gaaaaaa gaaaaaaae gaaaaaa c daaaaaaad gaaaaaa b eaaaaaaag gaaaaaae bf gaaaaaaac gaaaaaae bbe caaaaaaad gaaaaaae bbf aaaaaaaae gaaaaaae bbbe daaaaaaac daaaaaae bbbf eaaaaaaag daaaaaae bbbbe gaaaaaaae daaaaaae bbbbf caaaaaaad daaaaaae bbbbbe eaaaaaaaa daaaaaae bbbbbf daaaaaaac daaaaaae bbbbbbc caaaaaaag daaaaaae bbbbbbb gaaaaaaae daaaaaae bbbbbbbc daaaaaaad daaaaaabc fbbbbbbb eaaaaaaag daaaaaabf ebbbbbbbc gaaaaaaae daaaaaabc fbbbbbbb caaaaaaad daaaaaab ebbbbbbbc aaaaaaaae daaaaaab fbbbbbbbe daaaaaaac gaaaaaaf ebbbbbbbf eaaaaaaag gaaaaaac fbbbbbbbe gaaaaaaae ebaaaaaac ebbbbbbbf daaaaaaad cbaaaaaac cbbbbbbbe eaaaaaaag fbaaaaaac bbbbbbbf gaaaaaaac bbaaaaaac cbbbbbbbe caaaaaaad ebbaaaaaac bbbbbbbf aaaaaaaae fbbaaaaaac cbbbbbbbc daaaaaaad fbbaaaaaac bbbbbbbf eaaaaaaag ebbbaaaaaac cbbbbbbbc gaaaaaaae cbbbaaaaaac fbbbbbbb caaaaaaad fbbbaaaaaac ebbbbbbbc eaaaaaaaa bbbbaaaaaad fbbbbbbb daaaaaaac ebbbbaaaaaad ebbbbbbbc caaaaaaag cbbbbaaaaaad fbbbbbbb gaaaaaaae fbbbbaaaaaad ebbbbbbbf daaaaaaad ebbbbbaaaaaad fbbbbbbbe eaaaaaaag cbbbbbaaaaaad ebbbbbbbf gaaaaaaae fbbbbbaaaaaad fbbbbbbbe caaaaaaad bbbbbbaaaaaad bbbbbbbf aaaaaaaae ebbbbbbaaaaaad cbbbbbbbe daaaaaaac cbbbbbbaaaaaad bbbbbbbf eaaaaaaag fbbbbbbaaaaaad cbbbbbbbe gaaaaaaae ebbbbbbbaaaaaad bbbbbbbf daaaaaaad cbbbbbbfaaaaaad cbbbbbbbceaaaaaaag fbbbbbbcaaaaaad fbbbbbbbgaaaaaaac bbbbbbbcaaaaaad cbbbbbbbaaaaaaag ebbbbbbbeaaaaaad fbbbbbaaaaaaaae cbbbbbbfeaaaaaad ebbbbaaaaaaaad fbbbbbbceaaaaaad fbbbaaaaaaag bbbbbbb eaaaaaad ebbaaaaaaaae cbbbbbbf eaaaaaad fbaaaaaaad fbbbbbbc eaaaaaag eaaaaaaaa bbbbbbbe eaaaaaag daaaaaaabe ebbbbbbb eaaaaaag eaaaaaaaabf cbbbbbbf eaaaaaag gaaaaaaabbbe fbbbbbbc aaaaaag daaaaaaaabbbf bbbbbbb aaaaaag eaaaaaaaabbbbbe cbbbbbbf aaaaaag gaaaaaaabbbbbbf fbbbbbbc aaaaaag caaaaaaagbbbbbbbc bbbbbbbe aaaaaag aaaaaaaaebbbbbbbf ebbbbbbb aaaaaag daaaaaaac cbbbbbbbc cbbbbbbf aaaaaag eaaaaaaag fbbbbbbb fbbbbbbc aaaaaag gaaaaaaae ebbbbbbbc bbbbbbb aaaaaag daaaaaaad fbbbbbbb cbbbbbbf aaaaaag eaaaaaaaa ebbbbbbbc fbbbbbbc aaaaaag gaaaaaaac fbbbbbbb bbbbbbbe aaaaaag caaaaaaag ebbbbbbbf ebbbbbbb aaaaaaa gaaaaaaae fbbbbbbbe cbbbbbbf aaaaaaa daaaaaaad ebbbbbbbf fbbbbbbc aaaaaaa eaaaaaaag fbbbbbbbe bbbbbbb aaaaaaa gaaaaaaae bbbbbbbf cbbbbbbf gaaaaaa caaaaaaad cbbbbbbbe fbbbbbbc gaaaaaa eaaaaaaaa bbbbbbbf bbbbbbbe gaaaaaa daaaaaaac cbbbbbbbe ebbbbbbb gaaaaaa eaaaaaaag bbbbbbbf cbbbbbbf gaaaaaa gaaaaaaae cbbbbbbbc fbbbbbbc gaaaaaa daaaaaaad fbbbbbbb bbbbbbbe gaaaaaa eaaaaaaag cbbbbbbbc ebbbbbbf gaaaaaa gaaaaaaac fbbbbbbb fbbbbbbc gaaaaaa ``` <!-- end of image --> There's no doubt about it - I see 2 intersections in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#57294cff b,#889005ff c,#c4c198ff d,#987d91ff e,#e2dfd3ff f,#a6ac43ff g,#744f6aff ``` ```image bfc bbbbbbfc bbbbbbbbbbbfe e fbbbbbbbbbbbbbbbce gaae cfbbbbbbbbbbbbbbbc eaaad cbbbbbbbbbbbbbbbfc aaaad ecbbbbbbbbbbbbbbc daaaad efbbbbbbbbbb aaaaad cfbbbbbb aaaaaad fbbb caaaaaad bbbb aaaaaaag cbbbe gaaaeaaag bbbb eaaaa aaag cbbbe aaaa aaag bbbb daaad aaag ebbbc aaaa aaag bbbb aaaae aaag ebbbc eaaag aaag bbbb aaaa gaaa ebbbf daaac gaaa bbbb aaaa gaaa bbbf aaaa gaaa fbbb caaad gaaa bbbb aaaa gaaa fbbb gaaae gaaa bbbb eaaag gaaa fbbbe aaaa daaa bbbb daaac daaa cbbbe aaaa daaa bbbb aaaa daaa cbbbc eaaag daaa bbbb aaaa daaac ebbbc gaaae daaac bbbb aaaa daaa ebbbf aaaa gaaa bbbb daaad baaa bbbf aaaa baaa bbbb gaaae cbaaa bbbf eaaag bbaaa fbbb aaaa bbaaa bbbb daaac ebbaaa fbbb aaaa fbbaaa bbbb aaaa bbbaaa cbbbe caaad bbbaaa bbbb aaaa cbbbaaa cbbbe gaaae bbbbaaa bbbbeaaag bbbcaaa ebbbaaaa ebbbeaaa bbaaaac fbbbeaaa ebaaaa bbbfeaaa aaaa bbbeeaaa eaaaaf cbbb aaa aaaabb bbbb aaa gaaabbbf bbbc aaa aaaafbbb ebbb aaa aaaa bbbb fbbb aaa caaad fbbb bbbf aaa aaaa bbbb bbbe aaa gaaae fbbbe cbbb aaa eaaag bbbb bbbb aaa aaaa cbbbe bbbc aaa daaac bbbb ebbb aaa aaaa cbbbc fbbb aaa aaaa bbbb bbbf aaa gage caaad ebbbc bbbe aaa aaaaaac aaaa bbbb cbbb aaa aaaaaaaaad gaaae ebbbf bbbb aaae daaaaaaaaaade eaaag bbbb bbbc aaae daaaaaaaaaage aaaa bbbf ebbb aaae caaaaaaaaaaac daaad bbbb fbbb egaaaaaaaaaad aaaa bbbf bbbf daaaaaaaaaage aaaa fbbb bbbe daaaaaaaaaage eaaag bbbb cbbb caaaaaaaaaaac aaaa fbbb bbbb egaaaaaaaaaaaaae bbbb bbbc daaaaaaaaaa cbbbebbb daaaaaa bbbbbbb caac cbbbbbb bbbbbe ebbbb bbbb ebbe ``` <!-- end of image -->
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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,#7464d7ff b,#d6d5efff c,#718da8ff d,#b2abe6ff e,#94a9baff f,#b1d7b2ff g,#95c996ff ``` ```image gfffffffffffffffffffffffffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffg gfffffffffffffffffffffffffffffffffffffffg gfffffffffffffaeffffffffffffffffffffffffg gffffffffffffeaaffffffffffffffffffffffffg gffffffffffffaaaafffffffffffffffffffffffg gffffffffffffaaaaeffffffffffffffffffffffg cb gfffffffffffeaaeaaffffffffffffffffffffffg bccce gfffffffffffaaefaaafffffffffffffffffffffg dccccce gfffffffffffaafffaaeffffffffffffffffffffg eccccccccccceeeddbbbb gffffffffffeaafffeaaffffffffffffffffffffg bccccccccccccccccccccccccccccccccccccceeeeeegaaeffffaaafffffffffffffffffffg bbbbddeeeeccccccccccccccccccccccccccccccccfffffaaeffffffffffffffffffg bgeeeeeeccccccccefffeaaffffffffffffffffffg gfffffffffaaeecccfffaaafffffffffffffffffg gfffffffffaafffccceffaafffffffffffffffffg gffffffffeaaffffccccfeaaffffffffffffffffg gffffffffaaefffffecccfaaafffffffffffffffg gffffffffaaffffffffccceaafffffffffffffffg gfffffffeaafffffffffccccaaffffffffffffffg gfffffffaaefffffffffffcccaefffffffffffffg gfffffffaafffffffffffffccccfffffffffffffg db gffffffeaaffffffffffffffecccffffffffffffg daa gffffffaaeffffffffffffffffccceffffffffffg aa gffffffaafffffffffffffffffeccccfffffffffg daa gfffffeaaffffffffffffffffffaacccffffffffg aa gfffffaaefffffffffffffffffffaaccccffffffg aaa gfffffaaffffffffffffffffffffeaaecccfffffg aa gffffeaafffffffffffffffffffffaaafcccefffg aad gffffaaeffffffffffffffffffffffaaefccccffg aa gffffaafffffffffffffffffffffffeaaffecccfg aad gfffeaaffffffffffffffffffffffffaaafffcccc baa gfffaaefffffffffffffffffffffffffaaefffeccc aab gfffaaffffffffffffffffffffffffffeaafffffcb daa gffeaafffffffffffffffffffffffffffaaaffffg aab gffaaeffffffffffffffffffffffffffffaaffffg daa gffaafffffffffffffffffffffffffffffaaafffg aa gfeaaffffffffffffffffffffffffffffffaaeffg daa gfaaefffffffffffffffffffffffffffffffaaffg aa gfaaffffffffffffffffffffffffffffffffaaafg aaa geaafffffffffffffffffffffffffffffffffaaeg aa gaaefffffffffffffffffffffffffffffffffeaag aad gaafffffffffffffffffffffffffffffffffffaaa baa eaaggggggggggggggggggggggggggggggggggggaad aad aad baa baa aa d aab baa daa aad aab aa daa baa aa aad aaa aa aa baa aad aad aa aa aad baa baa aad aad aa baa baa aab aad daa aa aa baa daa aad aa aa aaa baa aa aad aad aa aa baa aad aad baa aa aab baa daa aad aab aa daa baa aa aad daa aa aa baa aaa aad aa aa aaaaa baaad aaa baa 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,#7362d7ff b,#c7c8e7ff c,#718ca9ff d,#aaa0e6ff e,#9cafc3ff f,#e4e3f4ff g,#8b7ddeff ``` ```image bf gaad baaaaf daaaag aaaaaad baaaaaaaf daaaaaaag aaaaaaaaad baaaafgaaaaf daaag faaaag aaaad daaaab faaaaf aaaaaf daaag baaaag aaaad daaaab faaaaf faaaaaf daaag baaaad aaaad gaaaab ccccccceeeeeeeebbbbbbfbaaaaf faaaaa cccccccccccccccccccccccccccb baaaad ccccccccccccccccccccccccccccef gaaaab ccccccccccccccccccccccccccccccb faaaag fffbbbbbbeeeeeeeecccccccccccccce daaaad aaaadcccccccf gaaaaf faaaaf eccccccb faaaag daaaa bccccccef daaaad gaaad fcccccccb gaaaaf faaaaf ecccccce faaaag daaaa bcccccccf daaaab gaaad feccccccb gaaaaf faaaaf bccccccefbaaaag daaaa fcccccccbdaaaab gaaad ecccccceaaaaaf faaaaf bcccccccaaaad daaaa feccccccaaaab gaaad bcccccccaaa faaaab fcccccccaad daaaa ecccccccab gaaad bcccccccg faaaab fecccccce daaaa bcccccce gaaad fcccccccf faaaab ccccccce daaaa gccccccef gaaad facccccccb faaaab daccccccce daaaa gaacccccccf gaaad baaacccccccb faaaab daaaaccccccef daaaa faaaaacccccccb gaaad baaaagecccccce faaaab gaaaabbcccccccf daaaa faaaaa feccccccb gaaad baaaad bccccccef faaaab gaaaab fcccccccb daaaa faaaag ecccccce gaaad baaaad bcccccccf faaaab gaaaaf fecccccc daaaa faaaag bccccc gaaad daaaad fcccc faaaab gaaaaf ecc baaaa faaaag bc gaaad daaaad f faaaab gaaaaf baaaa baaaag gaaad daaaab faaaab aaaaaf baaaa baaaag gaaag daaaab faaaab faaaaaf baaaa baaaad gaaag gaaaab faaaab faaaag baaaa baaaad gaaag gaaaaf faaaab faaaag baaaa daaaad gaaag gaaaa faaaab faaaa baaaa daaa gaaag gaa faaaab baa ``` <!-- end of image --> Case closed! This is definitely 2 intersections point in area A. Answer: A: 2; 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7362d8ff b,#cac8eaff c,#718da9ff d,#b0a6e8ff e,#a1b3c5ff f,#e3e3f3ff g,#8a7cdeff ``` ```image ad daa aaaa aaaad cb dagbaa bccccf aaf aaa eccccce aa aab eccccccccccceeeeebbfff dag baa fcccccccccccccccccccccccccccccccccccceeeeebbfaaf aaa ffbbbeeeecccccccccccccccccccccccccccccccccf aab fffbbbeeeeccccccce daa aafeccc aag aa fcccb aaf daa cccc daa aaf bcccfaag aa ccceaaf daa ecccaa aab fcccad aa cccc df daa eccc daa aab ccce aaf aa fcccc daa daa gacccf aa aab aaccce gag aa baaeccc aa daa aaafcccb aad aab aab cccc faa aa daa bcccf aad daa aag ccce faa aab aaf eccc aab aa daa fcf baa daa aag aaf aab aaf daa aa gaa aa baa aad gaa aab faa aa aa gaa gag baa aad aa aab faa aad aa gaa faa baa aab aad aab baa baa aa b aab baa daa aab aaf aa daa baa aa aab gag aa aa baa aag aad aa aa aad baa faa aad aab aa baa baa aaf aad daa aa aaf baa daa aad aa aa gag baa aa aad aad aa faa baa aad aad faa aa aab faa baa aad aaf aa daa faa aa gad gaa aa aa faa gag gad aa aa aagaa faaad aaa baa df ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a5f4dff b,#38778eff c,#b1d6b1ff d,#b89687ff e,#96c699ff f,#6d9fa5ff g,#ecf0ecff ``` ```image gggggggggggggggggggggggg eccccccccccccccccccccccceg eccccccccccccccccccccccccg cb gg eccccccccccccccccccccccccf bbg aaaad ecccccccccccccccccccccccbbb bbc aaaaaaaac ecccccccccccccccccccccfbbb ebbf aa daaaaaadg eccccccccccccccccccccbbbfg bbbb gad gdaaaaaad eccccccccccccccccccfbbbccg bbbb cad caaaaaaac ecccccccccccccccccbbbecccg cbfbb dac daaaaaadg ecccccccccccccccfbbbcccccg bb fbg dag gdaaaaaad eccccccccccccccbbbeccccccg bb cbe aa caaaaaaaceccccccccccccfbbbccccccccg cbf gbb aa daaaaaaaaaaaaaaaaaaaaaaaaaaaaadc bbg bb aa gdaaaaaaaaaaaaaaaaaaaaaaaaaad bb bb aa ecccccccebbbecccccccccccegg gbf bb aa eccccccbbbbccccccccccccccg bbg fbg aa eccccebbbecccccccccccccccg bb cbe aa ecccbbbbcccccccccccccccccg gbb gbb gad ecebbbeccccccccccccccccccg fbc bb gad ebbbbccccccccccccccccccccg bb bb cac gbbbecccccccccccccccccccccg gbb bb dag bbbbcccccccccccccccccccccccg fbc fbg dag gbbbeccccccccccccccccccccccccg bb cbf aa bbbf eccccccccccccccccccccccccg bb bb aa cbbbg eccccccccccccccccccccccccg gbc bb aa bbbf eccccccccccccccccccccccceg bb aa cbbbg gggggggggggggggggggggggg bb aa bbbf fbg aa cbbbg cbf aa bbbf bb gad cbbbg eebbeeeeeeedadeeeeeeeeec bbbf gccbbcccccccdadccccccccce cbbbg gccbbcccccccaaeccccccccce bbbf gccfbeccccccaaccccccccccfbbbg gccebfccccccaacccccccccbbbf gcccbbccccccaacccccccfbbb gcccbbccccccaaccccccbbbfe gcccbbccccccaaccccfbbbcce gcccbbccccccaacccbbbfccce gcccfbecccccaacfbbbccccce gcccebfcccccaabbbfcccccce gccccbbcccceaabbcccccccce gccccbbccccbabfccccccccce gccccbbccfbaaecccccccccce gccccbbcbbbaaccccccccccce gccccfbbbbcaaccccccccccce gccccebbfccaaccccccccccce gcccccfccccaaccccccccccce gccccccccccaaccccccccccce gccccccccccaaccccccccccce gccccccccccaaccccccccccce gccccccccccaaccccccccccce gccccccccceadccccccccccce gcccccccccdadccccccccccce gcccccccccdadccccccccccce eeeeeeeeeaaeeeeeeeeeeeec aa cad aa aa aa aa aa dad aa aa dad aa aa dac dad gaa aa aa dad dag aa gaa aad aa aa aag aac cad gaa aa aag aa gaa cad aag aa gaa aa aag dad caa aa aag aacaa daaa gaaa aa gg ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#995e4cff b,#37768eff c,#96b7c3ff d,#b58a7dff e,#cfb4abff f,#5f91a3ff g,#dadee0ff ``` ```image fbbbg gaaad fbbbg eaaae cbbbc eaaae gbbbc eaaae gbbbf daaag bbbb daaag fbbbg daaa cbbbg aaaa cbbbc aaaa g gbbbc aaad cb gbbbf gaaad gfbb bbbb gaaad cbbbb fbbbg eaaae gfbbbbb cbbbg eaaae cbbbbbbc cbbbc eaaae gfbbbbbfg gbbbf daaag cbbbbbbc gbbbf daaag gfbbbbbfg bbbb daaag cbbbbbbc fbbbg aaaa gfbbbbbfg cbbbg aaaa cbbbbbbc cbbbc aaaa gfbbbbbfg gbbbf gaaadcbbbbbbc gbbbf gaaaabbbbbfg bbbb gaaaabbbbc fbbbg eaaaabbfg cbbbg cbaaabbc cbbbc gfbaaaafg gbbbf cbbbaaaag bbbf gfbbbbaaaag bbbb cbbbbbbaaaa fbbbbbbbbbfgaaaa cbbbbbbbbc aaaa cbbbbbbfg aaad gbbbbbc gaaad fbbfg gaaad cg eaaae eaaae eaaae daaag daaag daaa aaaa aaaa aaad gaaad gaaad eaaae eaaae eaaae daaag daaag ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Right then, let's explore the next spot. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#995d4cff b,#37768eff c,#a5c1cbff d,#aa796bff e,#ceb1a9ff f,#6696a8ff g,#dfe1e2ff ``` ```image c fb cbbb fbbbb cbbbbbb fbbbbbbc cbbbbbbfg gfbbbbbbc cbbbbbbf gfbbbbbbc cbbbbbbf gfbbbbbbc cbbbbbbf gfbbbbbbg cbbbbbbf gfbbbbbbg adeeeeeeeeeeeegggggggggggcbbbbbbf aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaddddddddddd aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa geeeeeeeeeeeeeeeeddaaaaaaddddddddaaaaaaaaaaaaaaaa gfbbbbbfg ggggg cbbbbbbc gfbbbbbfg cbbbbbbc gfbbbbbfg cbbbbbbc gfbbbbbfg cbbbbbbc gfbbbbbfg cbbbbbbc gfbbbbbfg cbbbbbbc fbbbbbfg bbbbbc bbbfg bbc fg ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9a5e4cff b,#38778eff c,#aac5cfff d,#b5887bff e,#d1b6aeff f,#6f9daeff g,#e3e3e3ff ``` ```image cb gg f bbg aaaae bbb bbc aaaaaaaae fbbb cbbf aa eaaaaaadg gbbbc bbbb gad gdaaaaaae fbbb bbbb eae eaaaaaaae gbbbc cbfbb eae eaaaaaadg fbbb bb fbg dag gdaaaaaae gbbbc bb cbc aa eaaaaaaae fbbb cbf gbb aa eaaaaaaaaaaaaaaaaaaaaaaaaaddddde bbg bb aa gdaaaaaaaaaaaaaaaaaaaaaaaaaad bb bb aa gbbbg ggggg gbf bb aa fbbb bbg fbg aa gbbbg bb cbc aa fbbf gbb bb gad gbbbg fbg bb gad fbbf bb bb eae gbbbg gbb bb dag bbbf fbc fbg dag gbbbg bb cbf aa bbbf bb bb aa cbbbg gbc bb aa bbbf bb aa cbbbg bb aa bbbf fbg aa cbbbg cbf aa bbbf bb gad cbbb bb eae bbbf bb eae cbbb bb dag bbbf fbc aa cbbb cbf aa bbbf bb aa cbbb bb aa bbbc bb aa cbbb bb aa bbbc fbc aa cbbb gbf gadbbbc bb eaabb bb babc bb fbaag bbgbbbaa fbbbb aa gbbc aa c aa aa aa aa ad gad eae dae dag aa ead aa aa aa aa aa eae aa aa dad aa aa dae dad aa aa aa dae dag aa gaa aae aa aa aag aae ead gaa aa aag aa gaa ead aag aa gaa aa aag eae eaa aa aa aaeaa daaa gaad aa gg ``` <!-- end of image -->
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I have a feeling there might be some intersections in this image. There are 2 areas where the lines seem to converge. We should take a closer look at area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#4597dcff b,#2e808aff c,#b4d4ebff d,#79b3d6ff e,#b0d6b1ff f,#ecf4f2ff g,#92c699ff ``` ```image f aaa aaac caaaa aaaaac cda aaaaaa aaa faaaaaac daaf daacfaaa caad aaa aaad aaa aaa faaa aaa daac aaad aaa aaa aaa daac aaa aaad faad caad aaa aaa aaaf daad aaa aaa aaa aaaf caad daaa caac aaaf aaa faaa aaa daaa aaa faaa aaaf aaa daac caaa daaf aaa aaaf caad aaa caaa aaa daac aaac eggggggggggggggggggg aaa aaa caaa geeeeeeeeeeeeeeeeeee aaa aaa aaac geeeeeeeeeeeeeeeeeee daac caad faaa geeeeeeeeeeeeeeeeeee faad aaaf aaac geeeeeeeeeeeeeeeeeee aaa aaa faaa geeeeeeeeeeeeedaaeee aaa caaa aaac geeeeeeeeeeedaaaaeee aaaf aaac faaa geeeeeeeeeaaaaaaaeee caac aaa aaad geeeeeedaaaaaaaeeeee faaa faaa aaa geeeedaaaaaadeeeeeee aaa daac aaad geeaaaaaaadeeegbgeee aaa aaa aaa gaaaaaaaeeeeeebbbgee daaf aaa daad daaaaaaaeeeeeeeebbbeee caad caad aaaaaaaaaadeeeeeeeeebbbgeee aaa aaa daaaaaaaeeeeeeeeeeeebbbeeee aaa aaa aaaad geeeeeeeeeeebbbbeeee aaa caad cac egggggggggggbbbggggg daac aaaf dbbb faad aaa bbbf aaa faaa cbbb aaa daac ebbd bbbf aaaf aaa bbbbbbd fbbb caac faaa cbbbbbbbbbe bbbe aaa daac bbbbbc bbbbbbc bbb aaa aaa cbbbbb fbbbbbbf bbbd aaa aaa bbbbbc fbbbbbbf bbb daac caad cbbbbb cbbbbbb dbbb ffffffcaadffffffffffffaaafffffff bbbbbe ebbbbbb bbbf geeeeeeaaaeeeeeeeeeeeeaaaeeeeeegfcbbbbb dbbbbbd cbbb geeeeeeaaaeeeeeeeeeeedaaaeeeeeeebbbbbd dbbbbbd bbbf geeeeeeaaaeeeeeeeeeeeaaaeeeeeegbbbbb bbbbbbebbb geeeeeedaadeeeeeeeeeeaaaeeeeebbbbbd fbbbbbbbe geeeeeeeaaaeeeeeeeeeeaaaeeeebbbbbf fbbbbb geeeeeeeaaaeeeeeeeeeaaadeebbbbbbf cbbe geeeeeeeaaaeeeeeeeeeaaaeebbbbbeef geeeeeeeaaaeeeeeeeeeaaabbbbbbeeef geeeeeeedaadeeeeeeedaabbbbbeeeeef geeeeeeeeaaaeeeeeeeabbbbbbeeeeeef geeeeeeeeaaaeeeeeeebbbbbeeeeeeeef geeeeeeeeaaaeeeeegbbbbbeeeeeeeeef geeeeeeeedaageeebbbbbgeeeeeeeeeef geeeeeeeegaadegbbbbbaeeeeeeeeeeef geeeeeeeeeaaabbbbbaaaeeeeeeeeeeef geeeeeeeeeaabbbbbaaaeeeeeeeeeeeef geeeeeeeeebbbbbgeaaaeeeeeeeeeeeef geeeeeeegbbbbbeeeaaaeeeeeeeeeeeef geeeeeebbbbbaaeedaadeeeeeeeeeeeef geeeegbbbbbaaaeeaaaeeeeeeeeeeeeef geeebbbbbgeaaaeeaaaeeeeeeeeeeeeef gegbbbbbeeeaaaedaadeeeeeeeeeeeeef gbbbbbgeeeedaadaaaeeeeeeeeeeeeeef cbbbbbeeeeeeeaaaaaaeeeeeeeeeeeeeef bbbbbgeeeeeeeeaaaaadeeeeeeeeeeeeeef bbbbbeeeeeeeeeeaaaaaeeeeeeeeeeeeeeef bbbbeeeeeeeeeeedaaaaeeeeeeeeeeeeeeef b geeeeeeeeeeeeaaaaeeeeeeeeeeeeeeef geeeeeeeeeeeeaaageeeeeeeeeeeeeegf fffffffffffffaaaffffffffffffffff cad ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4597dcff b,#2c7e8aff c,#bdd9ebff d,#70aee4ff e,#62a0aaff f,#e0edf4ff g,#9ac4ddff ``` ```image caaaaad faaaaaa faaaaaa caaaaad aaaaaaf daaaaac daaaaac aaaaaaf caaaaag caaaaad faaaaad gaaaaag aaaaaa aaaaaaf fe daaaaaf faaaaaa gbb gaaaaac gaaaaag febbb caaaaag daaaaac gbbbbb faaaaad faaaaaa febbbbbb aaaaaa gaaaaad gbbbbbbbb daaaaac daaaaac febbbbbbbbb gaaaaag faaaaaa gbbbbbbbbbbc caaaaad caaaaad febbbbbbbbbef faaaaaa daaaaac cbbbbbbbbbbc daaaaaf aaaaaafebbbbbbbbbef daaaaac caaaaaabbbbbbbbbbc caaaaag gaaaabbbbbbbbbbef faaaaad aaaabbbbbbbbbbg aaaaaa faabbbbbbbbbbef daaaaaf gabbbbbbbbbbg gaaaaac ebbbbbbbbbef caaaaad cbbbbbbbbbbg faaaaad gbbbbbbbbbef aaaaaa cebbbbbbbbbg daaaaac gbbbbbbbbbbc gaaaaag febbbbbbbbbbd caaaaad gbbbbbbbbbbaag aaaaaa febbbbbbbbbbaaaf daaaaagbbbbbbbbbbaaaad daaaabbbbbbbbbbeaaaaag caaabbbbbbbbbecaaaaaaf fabbbbbbbbbbg faaaaaa gbbbbbbbbbbc gaaaaag febbbbbbbbbe daaaaac gbbbbbbbbbbc faaaaaa febbbbbbbbbbd caaaaad cbbbbbbbbbbaad daaaaac febbbbbbbbbbaaaaf aaaaaaf cbbbbbbbbbbeaaaaac caaaaad febbbbbbbbbefgaaaaag daaaaag cbbbbbbbbbbc caaaaad aaaaaaf ebbbbbbbbbef aaaaaa faaaaaa cbbbbbbbbbbg daaaaaf gaaaaag ebbbbbbbbbef gaaaaac daaaaac cbbbbbbbbbbg caaaaagfaaaaaa gbbbbbbbbbef faaaaadgaaaaad bbbbbbbbbg aaaaaadaaaaac bbbbbbbef daaaaaaaaaaa bbbbbbg gaaaaaaaaaad bbbbef caaaaaaaaaac bbbg faaaaaaaaaaf bef aaaaaaaaad g daaaaaaaag gaaaaaaaaf faaaaaaaa aaaaaaag daaaaaac ``` <!-- end of image --> Yes! I knew it! There's 2 intersections right here in area A! Next up, a closer look at another region. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#4597ddff b,#2b7e89ff c,#aed0e9ff d,#66a9e2ff e,#599aa2ff f,#d2e5f2ff g,#8abcddff ``` ```image fgc cdaad caaaaaaf fgaaaaaaaad cdaaaaaaaaaaaf cdaaaaaaaaaaaadf fgaaaaaaaaaaaaadf cdaaaaaaaaaaaaagf cdaaaaaaaaaaaadc fgaaaaaaaaaaaaadf fdaaaaaaaaaaaaagf gf cdaaaaaaaaaaaadc cbbec fgaaaaaaaaaaaaadf ebbbbef fdaaaaaaaaaaaaagf fbbbbbbf daaaaaaaaaaaadc ebbbbbe aaaaaaaaaaadc fbbbbbbc aaaaaaaaagf gbbbbbe aaaaaaac bbbbbbc aaaadc gbbbbbb aagf ebbbbbg c cbbbbbbf ebbbbbe ``` <!-- end of image --> I had hoped to find an intersection in area B, but there isn't one. Answer: A: 2; B: 0; 2 + 0 = 2 There's for sure two intersections on the image you sent me.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4597dcff b,#2c7e8aff c,#b7d5e9ff d,#6aabe3ff e,#66a1a9ff f,#d9e9f4ff g,#93c0deff ``` ```image f aaa aaaf caaaa aaaaac cda aaaaaa aaa faaaaaac daaf daacfaaa caag aaa aaag aaa aaa aaa aaa gaag aaag aaa aaa aaa gaac aaa daad faad caag aaa aaa aaa daad aaa aaa aaa aaa caad daaa gaac aaaf aaa aaa aaa gaaa aaa faaa aaaf aaa daac gaaa daaf aaa aaaf caag aaa caaa aaa gaag aaaf aaa aaa caaa aaa aaa aaac gaac caad faaa faad aaaf aaac aaa aaa faaa cad aaa faad aaag gaaaa aaa daaf aaa aaaaaaaf gaag aaa aaag caaaaaaaf aaa aaa aaa gaaaaaad aaa daac daad daaaaaac cbc aaa aaa aaa caaaaaaaf bbbf daaf aaa daad gaaaaaad fbbb caag gaag aaadaaaaaag bbbg aaa aaa daaaaaaaf bbb aaa aaa aaaad ebbe aaa caad fag bbb gaac aaaf gbbb faad aaa bbb aaa faaa cbbb aaa daac gbbe bbbf aaaf aaa bbbbbbe fbbb caag aaa cbbbbbbbbbg bbbg aaa gaac bbbbbc bbbbbbc bbb aaa aaa cbbbbb bbbbbbf ebbe aaa aaa bbbbbc fbbbbbb bbb daaf caag cbbbbb cbbbbbb gbbb caad aaa bbbbbg gbbbbbe bbb aaa aaa fbbbbb ebbbbbe cbbb aaa caad ebbbbg ebbbbbg bbbf aaa aaaf fbbbbb bbbbbbgbbb gaac aaa ebbbbg bbbbbbbg faad faaa fbbbbb fbbbbb aaa daac ebbbbe cbbg aaa aaa fbbbbb daaf aaaebbbbe caag gaabbbbbf aaa abbbbbe aaa bbbbbf aaa gbbbbe daaf bbbbbf faad gbbbbba aaabbbbbaad aabbbbedaaf bbbbbc aaa cbbbbb faaa bbbbbad daac cbbbbbaaa aaa bbbbbc aaa aaa cbbbbb daafgaag bbbbbg caagaaa fbbbbb aaaaaa ebbbbg aaaaad bbbbb aaaaaf bbbg daaaa b faaaa aaaf aaa cag ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I've noticed 2 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5ce63ff b,#88644bff c,#e8e3b0ff d,#a4cda0ff e,#9b8d72ff f,#f1f6edff g,#b2d7b1ff ``` ```image fc aa aac aaa cafa aa ac ac aa fa faf ca aa aa ca ac ac fa aa aa ca aa ac ac aa ca faf aa aa aa ca af ac ca aa aa ca ac ac af aa ca faf aa aa ac ca faf ac ca aa aa ca ac ac fa aa ca faf aa aa ac ca fa ac aa aa aa ca ac ac ca aa aa faf aa aa af ca aa fddddadddddddddddddddd faaf fdgggaaggggggggggggggg aaa fdgggdaggggggggggggggg faac fdggggaagggggggggggggg caa fdggggaagggggggggggggg fdddddddddddddddddddddddddddddf aaa fdgggggagggggggggggggg fdgggggggggggggggggggggggggggdffaaf fdgggggaaggggggggggggg fdgggggggggggggggggggggggggggdaaa fdgggggaaggggggggggggg fdgggggggggggggggggggggggggggaac fdggggggadgggggggggggg fdgggggggggggggggggggggggggaaaf fdggggggaagggggggggggg fdggggggggggggggggggggggggaaadf fdggggggdagggggggggggg fdgggggggggggggggggggggggaaggdf fdgggggggaaggggggggggg fdgggggggggggggggggggggaaagggdf fdgggggggaaggggggggggg fdggggggggggggggggggggaaaggggdf fdggggggggaggggggggggg fdggggggggggggggggggaaaggggggdf fdeebbbbggaagggggggggg fdgggggggggggggggggaaagggggggdf fcgeebbbbbbbbbbbbbbggaagggggggggg fdggggggggggggggggaagggggggggdf fgdebbbbbbbbbbbbeedcffdgggggbeggadggggggggg fdggggggggggggggaaaggggggggggdfcdebbbbbbbbbbbbbedcf fdgggggbbggaaggggggggg fdgggggggggggggaaaggdeebbbbbbbbbbbbbeegcf fdgggggdbggdaggggggggg fdgggggggdeeebbbbbbbbbbbbbeeddf fdggggggbeggaagggggggg debbbbbbbbbbbbbeeddggggggggggdf fdggggggbbggaagggggggg bbbbeeedgggaadgggggggggggggggdf fdggggggdbgggagggggggg fdgggggggaaagggggggggggggggggdf fdgggggggbeggaaggggggg fdggggggaaaggggggggggggggggggdf fdgggggggbbggaaggggggg fdggggdaaggggggggggggggggggggdf fdgggggggdbgggadgggggg fdgggaaagggggggggggggggggggggdf fdggggggggbeggaagedggg fdggaadggggggggggggggggggggggdf fdggggggggbbggdagbdggg fdaaaggggggggggggggggggggggggdf fdggggggggdbdggaebgggg faaagggggggggggggggggggggggggdf fdgggggggggbeggabbgggg aagggggggggggggggggggggggggggdf fdgggggggggebgggbegggg cdgggggggggggggggggggggggggggdf fdgggggggggdbdggbagggg fdgggggggggggggggggggggggggggdf fdggggggggggbbgebagggg fdgggggggggggggggggggggggggggdf fdggggggggggebgbbadggg fdgggggggggggggggggggggggggggdf fdgggggggggggbdbedgggg fdddddddddddddddddddddddddddddf fdgggggggggggbbbdggggg fffffffffffffffffffffffffffff fdgggggggggggebbgggggg fdggggggggggggbbgggggg fdggggggggggggbbgggggg fdgggggggggggggggggggg fdgggggggggggggggggggg fdgggggggggggggggggggg ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d5cc5fff b,#88634bff c,#e6dfbaff d,#c3b0a4ff e,#a88d75ff f,#f3f0e0ff g,#dfd884ff ``` ```image c ga faaa caaaa fgaaaac caaaagf gaaaac faaaagf caaaag fgaaaac caaaagf gaaaac fgaaagf caaaag fgaaaac caaaagf gaaaac fgaaaaf caaaag fgaaaac caaaagf ffcdddeeeb gaaaac ffccddeeebbbbbbbbbbbb faaaeeeeebbbbbbbbbbbbbbbbbbbbbbb ffcdddeeebbbbbbbbbbbbbbbbbbbbbbbbeeedddcff ffccddeeebbbbbbbbbbbbbbbbbbbbbbbbbeedddccf ddeebbbbbbbbbbbbbbbbbbbbbbbbbeeeddccff bbbbbbbbbbbbbbbbbbeeedeeaaac bbbbbbbbeedddccf fgaaaaf ddccf caaaag fgaaaac faaaagf caaaac fgaaaaf caaaag gaaaac faaaagf caaaac fgaaaaf caaaag gaaaac faaaagf caaaac gaaaaf aaagf aac cf ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Now, let's turn our attention to the next spot. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#d6cd62ff b,#88624aff c,#e7e2a4ff d,#b7a191ff e,#9e8067ff f,#f0ecdcff g,#d4c6bdff ``` ```image faaa aaaf caac faaa aaac caaa aaaf caac faaa aaaf caac faaa aaac caaa aaaf caac faaa aaaf caac faaa aaac caaa aaaf caac faaa aaaf caac faaa ffgf aaac fggdddeebbbbbbf caaa bbbbbbbbbbbbbbd aaaf bbbbbbbbbbeebbe caac eeddgggff bbbf faaa dbbd aaaf gbbe caac bbbf faaa dbbd aaac gbbb caaa bbbg aaaf dbbd caac gbbb faaa ebbg aaaf dbbd caac fbbb faaa ebbg aaac dbbd caaa fbbb aaaf ebbg caac dbbd faaa fbbb aaaf ebbg caac dbbd faaa dedf fbbb aaac ebbg ebbg caaa bbbf dbbe aaagbbe fbbbf caadbbd ebbg faaebbg gbbe aabbbf fbbbf cabbb ebbg febbd gbbe ebbd fbbbf bbba ebbg fbbbaf gbbe gbbeac fbbbf dbbeaa ebbg ebbaaaf gbbe fbbbcaaf bbbfgbbeff dbbddbbd gbbeebbg bbbbbb dbbbbe gbbbbd bbbbg dbbbf gbbe dbg ``` <!-- end of image --> I can confirm that 1 intersection exists in area B. Answer: A: 1; B: 1; 1 + 1 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#d6cd5fff b,#88624aff c,#e7e1b3ff d,#c2aea2ff e,#a38673ff f,#f1eedbff g,#dfd884ff ``` ```image fc aa aac aaa cafa aa ag ac ga fa af ga aa aa ca ac ac fa aa ga fa ag ag af ga fa af ga aa ag ca af ac ca aa aa fa ag ag af ga ca af aa aa ac ca a ac ca aa aa ca ac ag fa ga ga faf aa ag ac ga fa ac ga aa ag ca af ac fa aa ga fa ag ag af ga aa af faaf aa gaa ca aac ac caa aa aag fa faaf ag gaa ga aac af caa aa aag ca faaf ac gaa aa aac fa caa fcdeebbb ag aag fddebbbbbbbbbbbbeb ga faaf fddebbbbbbbbbbbbeedcf bd af gaa fcdeebbbbbbbbbbbbedcf bb aa aac cddebbbbbbbbbbbbeddf cb ca fddebbbbbbbbbbbbeedcf bd ac debbbbbbbbbbbbbedcf bb aa bbbbeddf faaf fb fa gaa be ag aac eb ga caa fb af aag be aa ef faaf eb ca bf gaa fbf aeb aac be abb aa eb fbe c fbf ba be dba eb ebaf bfbef bebc ebb bb be ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#b6a2d5ff b,#d0a088ff c,#e5c7b9ff d,#efedefff e,#b1d7b1ff f,#96c995ff g,#a87ad9ff ``` ```image d bbb cb bbb efffffffffffffffffffffffffffffffffffffffe bd bbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cb dbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bd dbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cb dbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bc dbbdfeeeeeeeeeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeef db cbbeeeeeeeeeeeggaeeeeeeeeeeeeeeeeeeeeeeeeef bc bbbeeeeeeeeegegaeeeeeeeeeeeeeeeeeeeeeeeef db febbbeeeeeeegeegaeeeeeeeeeeeeeeeeeeeeeeef bc feeebbbeeeeegeeegaeeeeeeeeeeeeeeeeeeeeeef b feeeeebbbeeegeeeegaeeeeeeeeeeeeeeeeeeeeef bc feeeeeeebbbageeeeeggeeeeeeeeeeeeeeeeeeeef b feeeeeeeeebbbeeeeeeggeeeeeeeeeeeeeeeeeeef bb feeeeeeeeeegbbbeeeeeggeeeeeeeeeeeeeeeeeef b feeeeeeeeeegeebbbeeeeggeeeeeeeeeeeeeeeeef cb feeeeeeeeeegeeeebbeeeeggeeeeeeeeeeeeeeeef bd feeeeeeeeeegeeeeeebbeeeggeeeeeeeeeeeeeeef cb feeeeeeeeeegeeeeeeeebbeeggeeeeeeeeeeeeeef bd feeeeeeeeeegeeeeeeeeebbbeggeeeeeeeeeeeeef cb feeeeeeeeeageeeeeeeeeeebbbggeeeeeeeeeeeef bd feeeeeeeeeageeeeeeeeeeeeebbbgeeeeeeeeeeef cb feeeeeeeeggaeeeeeeeeeeeeeeebbbeeeeeeeeeef bc feeeeegggaeeeeeeeeeeeeeeeeeegbbbeeeeeeeef db feegggaeeeeeeeeeeeeeeeeeeeeeegebbbeeeeeef bc dgggaeeeeeeeeeeeeeeeeeeeeeeeeegaeebbeeeeef ffffffbffffffffe dggggeeeeeeeeeeeeeeeeeeeeeeeeeeeeageeebeeeeef eeeeebbeeeeeeeef dggga feeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeebeeeeef eeeeebeeeeeeeeef dggga feeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeebbeeeef eeeebbeeeeeeeeef dggga feeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeebeeeef eeeebeeeeeeeeeef dggga feeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeebeeeef d eeebbeeeeeeeeeegggad feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeebeeeef dbbd eeebeeeeeeeeggggd feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeebbeeef dbbc eeeeeeeeeggggeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeebeeef dbbc eeeeeeggggeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageebeeef bbc eeeggggeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeebeeebbc eeegeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaebbbbb eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeebbef eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeeef eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeef eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeeef eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeeef eeeeeeeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeageeef fffffffffffffffe feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegaeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegeef ddddddddddddddddddddddddddddddddddddgdd ag g gd ag g ga dg gd aa dg gd ag g ga dg g ga dg gd ag g ga dg g ga dg gd ag g ga dg g ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b890e1ff b,#d39f87ff c,#eedad1ff d,#f4edf5ff e,#d6c0eeff f,#e1bfafff g,#a876dbff ``` ```image fbbd dbbf fbbd dbbf fbbd dbbf fbbd bbf cbbc bbf cbbc bbb de cbbc deagg cbb deaggggg d deagggggaed deagggggaed deagggggaed deagggggaed deagggggaed eagggggaed egggaed aed ``` <!-- end of image --> Area A doesn't meet the criteria for an intersection. Hmm, interesting. Let's check out another area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#c5a4e6ff b,#d39e88ff c,#ecd5ccff d,#f4ebf0ff e,#dfcdf1ff f,#dfb9a9ff g,#a978dbff ``` ```image age d ggge bfd dgggge bbbfd eggggge cbbbbfd eggeggge dfbbbbfd agg dggga dfbbbbfd aga dggga dfbbbbc aga dggga dfbbbbc gga dggga dfbbbbc gge agga dfbbbbc dgge agga cfbbbbc eggd agga cbbbbfcegg agga cbbbbbgg aggad cbbbbbd agggd cbbbbfd agggd gbbbbbfd agggd ggefbbbbfd egggd dgge dfbbbbc egggd eggd dfbbbbc eggge egg dfbbbbc eggge agg dfbbbbc eggge agg cfbbbbc eggge aga cbbbbfc eggge gga cbbbbfd dggge gge cbbbbfd dggge dgge cbbbbfddggga eggd cbbbbfdggga egg dfbbbbfggga agg dfbbbbbgga agg dfbbbbbge egga dfbbbbf eagggga dfbbbbc eaggggggad cbbbbbc eaggggggae agbbbbfc eaggggggae eggcbbbbfd eaggggggae gga cbbbbfd eaggggggae agg cbbbbc ggggggae egge cbbbd gggae gga dbbc ae eggd bbf dgga fbb agg cbbd egge dbbc gga bbf agg fbb egge cbbd gga dbbc aggd bbf dgge fbb agg cbbd egge dbbc gga bbf agg fbb egge cbbd gga dbbc aggd bbf dgge fbb agg cbbd c eggd dbbc cbb gga bbfcbbbb agg fbbbbbfc egge cbbbfc gga ffc aggd dgge agg eggd gga agg egge gga aggd dgge agg eggd gga agg ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 0; B: 2; 0 + 2 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b88fe1ff b,#d39f88ff c,#ebd5caff d,#eee2f0ff e,#ccafe9ff f,#e0baaaff g,#a877dbff ``` ```image d bbb fb bbf bd bbf cb bbf bc dbbc cb dbbc bc cbbc ed db cbbd ggd bc cbbd gdge db fbb g dge bf fbb g ge b fbb dg ga bf bbfeg ga b bbb ga bb gbbf ga b gddbbc gg fb g dbbc gg b g cbbc gg fb g cbbd gg bd dg cbbdag cb eg fbbag bd ea fbbg cb dgge fbb bc dggge abbb db dggge g bbf bc dggge gd bb db dggge eg b bf dagga g b b dagga ge bf bf dagga dg cb b dagga gd b d bb dagga aa bd dbbd b dagga g bf dbbf daggad gd cb bbf daggad eg b bbf aggad g bd bbf ad ge bfbbf dg cbf gd aa g gd eg g ge dg gd aa g gd eg g ge dg g aa g gd eg g ge dg g aa g gd eg g ge dg g aa dg gd eg g ge dg g ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#22e46aff b,#4bdc39ff c,#a0d5a2ff d,#72e17cff e,#eff7efff f,#cbf7d8ff g,#b1d8b2ff ``` ```image ec faaaa faaaaaa faaaaaaaa faaaaaaaaaa faaaaaaaf aaa faaaaaaaf aaae faaaaaaaf aaaf faaaaaaaf aaaf faaaaaaaf aaag faaaaaaaf aaac faaaaaaaf aaad faaaaaaaf aaad faaaaaaaf daaa cd faaaaaaaf daaa cbbd faaaaaaaf caaa eeeeeeeeeeebbbbeeeeeeeeeeee faaaaaaaf gaaa eccccccccccdbbbbcccccccccccce faaaaaaaf faaa ecgggggggggbbbbbgggggggggggce faaaaaaaf faaa ecggggggggdbbbbbcggggggggggce faaaaaaaf eaaa ecggggggggbbbbbbdggggggggggce faaaaaaaf aaa ecgggggggbbbbbbbbggggggggggcfaaaaaaaf aaa ecgggggggbbbddbbbgggggggggcaaaaaaaf aaa ecggggggbbbbgcbbbgggggggcaaaaaaaf aaae ecggggggbbbdggbbbgggggcaaaaaaaf aaaf ecgggggbbbbgggbbbcggcaaaaaaaf aaaf ecggggcbbbdgggbbbdcaaaaaaacce aaag ecggggbbbbggggbbbaaaaaaacggce aaac ecgggcbbbdggggdaaaaaaacggggce aaad ecgggbbbbggggdaaaaaacggggggce aaad ecggcbbbcggggaaaaacggggggggce daaa ecggbbbbgggggaaabbcggggggggce daaa ecgcbbbcggggdaaabbdggggggggce caaa ecgbbbbgggggaaaabbbggggggggce gaaa ecdbbbcgggggaaadbbbggggggggce faaa ecbbbbgggggdaaadbbbggggggggce faaa edbbbcgggggaaaagbbbggggggggce eaaa ebbbbggggggaaadgbbbggggggggce aaa dbbbggggggcaaaggbbbdgggggggce aaa bbbbggggggdaaaggbbbdgggggggce aaa dbbbgggggggaaadggdbbbgggggggce aaae bbbbgggggggaaagggdbbbgggggggce aaaf dbbbgggggggdaaagggcbbbgggggggce aaaf bbbbgggggggaaaaggggbbbgggggggce aaag dbbbccccccccaaadccccbbbdccccccce aaac bbbd faaa bbbd aaad bbbb aaaa dbbb aaad ebbbc aaag cbbb daaa bbbb eaaa ebbb daaa ebbbg daaa bbb caaa dbb aaad bbbf eeeeeeeeeeeegaaaeeee f aaae bbbc ecccccccccccccaaacccc gaaa bbbb ecgggggggggggcaaagggg aaaa cbbb ecggggggggggggaaagggg aaaf fbbb ecggggggggggggaaagggg faaa bbb ecggggggggggggaaagggg aaaa bbbf ecggggggggggggaaagggg aaac bbbc ecggggggggggggaaacggg faaa bbbd ecggggggggggggaaacggg aaaa cbbb ecggggggggggggaaadggg faaaf fbbb ecggggggggggggaaadggg aaaa bbb ecggggggggggggaaadggg gaaae bbbe ecgggggggggcdbaaaaggg aaaa bbbg ecgcddbbbbbbbbaaaaggg caaae bbbd fcdbbbbbbbbbbbbbbbaaaacgg aaaa dbbb fgdbbbbbbbbbbbbbbbbbbbbbbbaaaaggg daaa fbbb efcbbbbbbbbbbbbbbbbbbbbbbbbdcgggggdaaaggg aaad bbb bbbbbbbbbbbbbbbbbbbbdgcggggggggggggdaaaggg daaa bbbe ebbbbbbbbbbbbbdcf ecggggggggggggcaaaggg aaad bbbg gbbbbbbbdfe ecggggggggggggcaaaggg aaaa bbbd dbbbbd ecgggggggggggggaaaggg eaaac dbbb bbbbbg ecgggggggggggggaaaggg aaaa gbbb ebbbbbe ecgggggggggggggaaaggg eaaag ebbb fbbbbb ecgggggggggggggaaaggg aaaa bbb dbbbbd ecgggggggggggggaaacgg faaaf bbbf bbbbbg ecgggggggggggggcggggg aaaa bbbdebbbbbe ecccccccccccccccccccc faaaf dbbbbbbbb eeeeeeeeeeeeeeeeeeee eaa gbbbbbbd ebbbbbg bbbbe bbb ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#22e369ff b,#4bdc38ff c,#98eb93ff d,#71e364ff e,#ddf8dfff f,#baf3bfff g,#5eea92ff ``` ```image cbbbbbbbe ebbbbbbbbf cbbbbbbbbc ebbbbbbbbbd dbbbbbbbbbb ebbbbbbbbbbb dbbbbbbbbbbbe fbbbbbbbbbbbbf dbbbbbbbbbbbbc fbbbbbbbbbbbbbd dbbbbbbddbbbbbd fbbbbbbbedbbbbbb f dbbbbbbc cbbbbbbe fga fbbbbbbbe fbbbbbbf fgaaa dbbbbbbc ebbbbbbc fgaaaaa fbbbbbbbe bbbbbbd fgaaaaaaa bbbbbbbc bbbbbbd fgaaaaaaaaa cbbbbbbb dbbbbbb fgaaaaaaaaaaa bbbbbbbc cbbbbbbe fgaaaaaaaaaaaaa cbbbbbbb fbbbbbbf fgaaaaaaaaaaaaage ebbbbbbbc fbbbbbbc fgaaaaaaaaaaaaage cbbbbbbb ebbbbbbdgaaaaaaaaaaaaage ebbbbbbbf bbbbbaaaaaaaaaaaaaage cbbbbbbd dbbaaaaaaaaaaaaaage ebbbbbbbf daaaaaaaaaaaaaage cbbbbbbd gaaaaaaaaaaaaage ebbbbbbbf gaaaaaaaaaaaage dbbbbbbd aaaaaaaaaaage ebbbbbbbf faaaaaaaaaae dbbbbbbd gaaaaaaaabb fbbbbbbbe aaaaaaabbbbe dbbbbbbd eaaaaaaabbbbf fbbbbbbbe caaaaaabbbbbf dbbbbbbd gaaaaaabbbbbc fbbbbbbbe eaaaaaaabbbbbd dbbbbbbc faaaaaaabbbbbb fbbbbbbbe gaaaaaadbbbbbb bbbbbbbc aaaaaaacbbbbbbe fbbbbbbbe faaaaaagfbbbbbbf bbbbbbbc gaaaaaafebbbbbbc cbbbbbbb aaaaaaa bbbbbbd bbbbbbbc eaaaaaag dbbbbbd cbbbbbbb caaaaaaf dbbbbbb bbbbbbbc gaaaaaae cbbbbbbe bbbbbbb eaaaaaag fbbbbbbf bbbbbbf faaaaaac ebbbbbbc bbbbbd gaaaaaae bbbbbbd bbbbbf aaaaaaa bbbbbbd bbbbd faaaaaag dbbbbbb bbbbf gaaaaaaf cbbbbbbe bbbd aaaaaaa fbbbbbbf bbbf eaaaaaag ebbbbbbc bbd caaaaaaf ebbbbbbc bbe gaaaaaae bbbbbbd bd eaaaaaag dbbbbbb be faaaaaac cbbbbbbe ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Time for a closer look at another area. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#22e369ff b,#4bdc38ff c,#8aeea5ff d,#7be56eff e,#daf9e1ff f,#b5f3c2ff g,#4ce885ff ``` ```image faaaaaaf faaaaaaf eaaaaaaf eaaaaaac eaaaaaac aaaaaac aaaaaac aaaaaag gaaaaag gaaaaag gaaaaag gaaaaaa caaaaaa caaaaaa caaaaaae caaaaaae faaaaaae faaaaaaf faaaaaaf eaaaaaaf eaaaaaac eaaaaaac aaaaaac aaaaaaad effcddbaaaaaaad efcddbbbbbbbbbaaaaaaab effcddbbbbbbbbbbbbbbbbaaaaaaab cddbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaabe bbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaabf bbbbbbbbbbbbbbbbbbbbbbbbbbbaaaaaaade bbbbbbbbbbbbbbbbbbbbbbbbbbdgaaaaaa bbbbbbbbbbbbbbbbbbddcffe caaaaaae bbbbbbbbbbbddcfee caaaaaae bbbddcffe faaaaaae ee faaaaaaf faaaaaaf eaaaaaaf eaaaaaac eaaaaaac aaaaaac aaaaaac aaaaaag gaaaaag gaaaaag gaaaaaa gaaaaaa caaaaaa caaaaaae caaaaaae caaaagge e ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area B! Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#22e46aff b,#4bdc38ff c,#9deea6ff d,#78e46bff e,#ddf9e5ff f,#c3f5ceff g,#5eea91ff ``` ```image ec eaaaa eaaaaaa eaaaaaaaa eaaaaaaaaaa eaaaaaaaf aaa eaaaaaaaf aaa eaaaaaaaf aaae eaaaaaaaf aaaf eaaaaaaaf aaac eaaaaaaaf aaac faaaaaaaf aaag faaaaaaaf aaag faaaaaaaf gaaa cd faaaaaaaf gaaa cbbd faaaaaaaf caaa bbbb faaaaaaae caaa dbbbb faaaaaaae faaa bbbbb faaaaaaae eaaa dbbbbbe faaaaaaae aaa bbbbbbc faaaaaaae aaa dbbbbbbd faaaaaaae aaa bbbdcbbb faaaaaaae aaa bbbb fbbb faaaaaaae aaae bbbc bbb faaaaaaae aaae bbbb bbbe faaaaaaae aaaf ebbbc bbbcfaaaaaaae aaac bbbb bbbaaaaaaae aaac ebbbf daaaaaaae aaag bbbb gaaaaaae aaag fbbbf aaaaae gaaa bbbb aaabbe gaaa fbbbe caaabbc caaa bbbb aaaabbd caaa cbbbe aaadbbb faaa bbbb faaafbbb eaaa cbbbe aaaa bbb aaa bbbb aaac bbb aaa cbbb eaaa bbbf aaa bbbb gaaa bbbd aaa dbbb aaag dbbb aaae bbbd aaa cbbb aaae dbbb caaa ebbb aaaf bbbd aaag bbb aaac dbbb aaaf bbbf aaac bbbd faaa bbbd aaag bbbb aaaa dbbb gaag bbbc aaac cbbb gaaa bbbb eaaa ebbb gaaa ebbbc gaaa bbb caaa dbb aaag bbbf faaa f aaae bbbc faaa caaa dbbb eaaa aaaa cbbb aaa aaaf ebbb aaa faaa bbb aaa gaaa bbbe aaa aaac bbbc aaae eaaa bbbd aaaf aaaa cbbb aaaf faaaf fbbb aaac aaaa bbb aaag caaae bbbe fcdaaaa aaaa bbbc ecdbbbbbbbbaaaa caaa bbbd fcdbbbbbbbbbbbbbbbaaaaf aaaa dbbb ecdbbbbbbbbbbbbbbbbbbbbbbbgaaa gaaa fbbb fcdbbbbbbbbbbbbbbbbbbbbbbdcf caaa aaag bbb bbbbbbbbbbbbbbbbbbbbdfe faaa gaaa bbb ebbbbbbbbbbbbbdce faaa aaag bbbc fbbbbbbdcf eaaa aaaa bbbd dbbbbd aaa aaac dbbb bbbbbf aaa aaaa fbbb bbbbbe aaa eaaac bbb fbbbbb aaa aaaa bbb dbbbbd aaae faaaf bbbf bbbbbc e aaaa bbbd bbbbbe faaae dbbbbbbbb eaa cbbbbbbd ebbbbbc bbbbe bbb ``` <!-- end of image -->
[ "" ]
This image looks interesting. I wonder if there are any intersections hidden in there? My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#8e0bc5ff b,#082fb7ff c,#a259c5ff d,#466ab9ff e,#9da1c1ff f,#b1d7b1ff g,#96c997ff ``` ```image a aae aac aac aaa caa caa eaa e aa dbe aa bbb aae ebdb aac bb bb aac be db aaa bb bd caa bd bb caa db bd fgggggggeaagggggggggbbgggggbbggggggggggggggggggggggggggggggggg gffffffffeaefffffffdbgfffffebdffffffffffffffffffffffffffffffff gfffffffffacfffffffbbfffffffbbffffffffffffffffffffffffffffffff gfffffffffacffffffebefffffffdbefffffffffffffffffffffffffffffff gfffffffffaaffffffbbfffffffffbbfffffffffffffffffffffffffffffff gfffffffffaafffffgbdfffffffffdbfffffffffffffffffffffffffffffff gfffffffffaafffffbbfffffffffffbbffffffffffffffffffffffffffffff c gfffffffffaafffffbdfffffffffffbbffffffffffffffffffffffffffffff ae gfffffffffcaffffdbfffffffffffffbdfffffffffffffffffffffffffffff aa bbde gfffffffffeaffffbbfffffffffffffbbfffffffffffffffffffffffffffff ac dbbbbbdegfffffffffeaeffdbgfffffffffffffebdffffffffffffffffffffffffffff aa fdbbbbbbefffffffacffbbfffffffffffffffbbffffffffffffffffffffffffffff aa dbbbbbbefffacfebefffffffffffffffebefffffffffffffffffffffffffff ca gffgdbbbbbbaafbbfffffffffffffffffbbfffffffffffffffffffffffffff aa gfffffffdbbaabbdfffffffffffffffffdbgffffffffffffffffffffffffff ca gffffffffffaabbfffffffffffffffffffbbffffffffffffffffffffffffff aa gffffffffffaafffffffffffffffffffffdbffffffffffffffffffffffffff eae gffffffffffcaffffffffffffffffffffffbbfffffffffffffffffffffffff aa gffffffffffcaffffffffffffffffffffffbbfffffffffffffffffffffffff ac gffffffffffeaeffffffffffffffffffffffbdffffffffffffffffffffffff aa gfffffffffffaeffffffffffffffffffffffbbffffffffffffffffffffffff ac gfffffffffffacffffffffffffffffffffffebdfffffffffffffffffffffff ca gfffffffffffaafffffffffffffffffffffffbbfffffffffffffffffffffff aa gfffffffffffaafffffffffffffffffffffffdbeffffffffffffffffffffff ca gfffffffffffaaffffffffffffffffffffffffbbffffffffffffffffffffff aa gfffffffffffaaffffffffffffffffffffffffdbffffffffffffffffffffffeae gfffffffffffcafffffffffffffffffffffffffbbfffffffffffffffffffffaa gfffffffffffcafffffffffffffffffffffffffbbffffffffffffffffffffeac gfffffffffffeaffffffffffffffffffffffffffbdfffffffffffffffffffaa gffffffffffffaefffffffffffffffffffffffffbbfffffffffffffffffffac gffffffffffffacfffffffffffffffffffffffffgbdfffffffffffffffffaa gffffffffffffacffffffffffffffffffffffffffbbfffffffffffffffffaa gffffffffffffaaffffffffffffffffffffffffffebdfffffffffffffffcag gffffffffffffaafffffffffffffffffffffffffffbbfffffffffffffffaaf gffffffffffffaafffffffffffffffffffffffffffdbefffffffffffffeaef gffffffffffffcaffffffffffffffffffffffffffffbbfffffffffffffaaff gffffffffffffcaffffffffffffffffffffffffffffdbffffffffffffeacff gffffffffffffeafffffffffffffffffffffffffffffbbfffffffffffaafff gfffffffffffffaeffffffffffffffffffffffffffffbbfffffffffffacfff gfffffffffffffacfffffffffffffffffffffffffffffbdfffffffffaaffff gfffffffffffffacfffffffffffffffffffffffffffffbbfffffffffaaffff gfffffffffffffaafffffffffffffffffffffffffffffebdfffffffcafffff gfffffffffffffaaffffffffffffffffffffffffffffffbbfffffffaafffff gfffffffffffffaaffffffffffffffffffffffffffffffebefffffcaefffff gfffffffffffffaafffffffffffffffffffffffffffffffbbfffffaaffffff gfffffffffffffcafffffffffffffffffffffffffffffffdbgfffeacffffff gfffffffffffffeaffffffffffffffffffffffffffffffffbbfffaafffffff gfffffffffffffeaefffffffffffffffffffffffffffffffdbfecacfffffff gffffffffffffffacfffffffffffffffffffffffffffffffcaaaaaffffffff gffffffffffffffacfffffffffffffffffffffffffffeaaaaaaeffffffffff d gffffffffffffffaaffffffffffffffffffffffffcaaaaacffbdffffffffff bbd gffffffffffffffaaffffffffffffffffffffeaaaaaaefffffbbffffffffff bbd gffffffffffffffaaffffffffffffffffecaaaaacfffffffffebdfffffffff bbe gffffffffffffffaafffffffffffffcaaaaacffffffffffffffbbfffffffff bbe gffffffffffffffcafffffffffeaaaaaaefffffffffffffffffdbeffffffff ebb gffffffffffffffcaffffffcaaaaacffffffffffffffffffffffbbffffffff ebb gffffffffffffffeaefcaaaaacefffffffffffffffffffffffffdbffffffff dbb gfffffffffffffffaaaaaaeffffffffffffffffffffffffffffffbbfffffffbbb gfffffffffffffffaacffffffffffffffffffffffffffffffffffbbffffffbbd gfffffffffffffffffffffffffffffffffffffffffffffffffffffbdffffbbe gfffffffffffffffffffffffffffffffffffffffffffffffffffffbbffebbg gfffffffffffffffffffffffffffffffffffffffffffffffffffffgbddbbff gffffffffffffffffffffffffffffffffffffffffffffffffffffffbbbbfff fggggggggggggggggggggggggggggggggggggggggggggggggggggggdbbgggg ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#8e09c6ff b,#092fb7ff c,#aa47d4ff d,#546ecdff e,#c888e3ff f,#ddcff1ff g,#9aaae1ff ``` ```image eaaaae bbbg dbbf eaaaa bbb fbbg faaaf fbbd dbb faaf dbbf gbbg aae gbbf gbbg cae bbd bbd cac gbbg bbbf eac dbb bbbd eaa fbbb dbbbf eaa dbbb fbbbd faaf fbbbd dbbb aae bbbd dbbb aae gbbbf gbbbg cae bbbd bbbb cac gbbbg gbbbg cac dbbb bbbd eaa fbbbg gbbb eaa dbbb fbbb faaf bbbd dbbf ddgf aaf bbd dbb bbbbdgf aae gbbf fbbg bbbbbbbbdgf aae bbd dbb dbbbbbbbbbbbgf aac gbbg gbbg fgbbbbbbbbbbbdgf aac dbb bbd fgdbbbbbbbbbbbaaa fbbg bbbf fgdbbbbbbbaaadgdbb bbbd fgdaaabbbbb fbbbd aaadbbbd dbbbf aaae gg fbbbg aaae dbbb caac gbbbg caac bbbb eaac gbbbg eaaa bbbd faaaf bbb faaaf dbbf aaae fbbd aaae dbb caae fbbg caac dbb eaac gbbg eaaa bbbg faaaf bbbd faaaf gbbbf aaae fbbbd aaae dbbbf caae fbbbd caac dbbb caac gbbbg eaaa gbbb faaaf bbb faaaf gbbf e aaae bbd a aaae dbbf ea caae fbbd ca caac dbb faa eaaa bbb faaa eaaa bbbg caaa faaa bbbb aaac faaaf gbbbg aaaf aaaf bbbd aac aaae gbbbf eaaf aaae bbbd cac caac fbbbd caa eaac dbbb faae eaaa fbbbg caa faaa dbbb faaa faaa gbbb eaaa faaa bbb aaac aaa gbbf eaaaf aaa bbd aaac caa fbbd caaa eaa dbbf faaae eaa fbbg caaa eaa bbb faaae faaf bbbg eaaaf faaf bbbb aaac aae gbbbg aaaf cae gbbbf eaae cac bbbd caa eac dbbbf faae eaa fbbbd caa eaa dbbb faae faaf fbbbg eaaf faaf dbbb fecaaa aae gbbbaaaaaaa cae ecaaaaaaaaacef cac fecaaaaaaaaae cac fecaaaaaaaaaccbbf eaa eaaaaaaaaacef fbbd eaa fecaaaaaaaaacf dbbf faaf fcaaaaaaaaacef fbbd faaf fecaaaaaaaace bbb aae ecaaaaaaaacef dbbb aae fecaaaaaaaaace gbbbg aac fcaaaaaaaaacef bbbd aac feaaaaaaaaaaf gbbbf aaa fecaaaaaaaaacef bbbd aaa fecaaaaaaaacef dbbbf aaa fecaaaaaaaaace fbbbd aaaf feaaaaaaaaacef dbbb aaaaaaaaaaacef dbb aaaaaaaaef gbbg caaaace bbb g eef gbbg db bbd dbb gbbf dbbb bbd fbbbb bbbd gbbbd dbbbdbbbd fbbbbbbb dbbbbbg ``` <!-- end of image --> Oh my, look at that! It's 2 intersections in area A! Answer: A: 2; 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#8f0ac6ff b,#072eb7ff c,#b156d7ff d,#3554c4ff e,#bda4e5ff f,#e0d4f3ff g,#6c82d4ff ``` ```image af aae aae aac aaa caa caa eaa e faa gbe faaf bbb aae ebdbf aac bb bb aac fbg db aaa bb bd caa bd bb caa db fbg eaa bb bb faf gbf ebe ae bb bb ac ebe gbf aa bb bb aa fbg gbf aa bb bb c aa bd db fae ca db bd aa bbde ea bb bb ac dbbbbbde faf gbf fbg aa fdbbbbbde ae bb bb aa fgbbbbbde ac ebe ebe ca fgbbbbbbaa bb bb aa fgbbaabbg gbf caf aabb bb aa aa db eae ca bd aa ea bb fac faf fbg aa ae bb ac ac fbg ca ac bb aa aa ebe caf aa bb aa aa gbf eae ca bb aa ea db fac faf bd aa ae bb ac ac fbg aa ac bb aa aa ebe caf aa bb aa aa gbf eaf ca bb aa ca db fae ea bd aa faf db ac ae bd aa ac bb aa aa fbg ca aa bb aa aa ebe eaf ca bb aa ca gbf fae ea bb aa faf db fcac ae eaaaaa ac faaaaaae g aa caaaaac fbg dbd aa eaaaaacf bb bbd aa fcaaaaae ebg bbg aa caaaaacf bb fbbe ca eaaaaaae gbe ebbf ea fcaaaaac bb gbb faf eaaaaacf gbf dbb aaaaaae bb bbd aac db bbg bd bbe bb fbbf fbgebb bbbb ebb f ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#fa0b1aff b,#5012f4ff c,#ea8b88ff d,#e7bfddff e,#f1424dff f,#886ce7ff g,#b0d6b0ff ``` ```image fbb bbbb ae bbbbbd eaa bbbbbbf aaa dbbbf bbb aaaad fbbbd fbb caaaac bbbb dbb aaaaae bbbb bbd eaadaaa dbbbb bbf aaa aaa bbbf bbb aaa aaa bd fbb daae eaa dbb aaa caa bbd caac daa bbf aaa aad bbb aaa aad fbb daae aac dbb aaa aae bbf caac aaa bbb aaa aaa bbb eaad eaa fbb aaa caa bb aaa caa bbf daae daa bbb aaa aad bbb eaad aac fbb aaa aac bbd aaa aae bbf daae aaa bbb aaa aaa fbb caac eaa dbb aaa caa bbd eaa daa bbf aae aa bbb aaa aad fbb caac aac dbb aaa aae bbd eaad aaa bbb aaa aaa bbb aaa eaa fbb daae eaa dbb aaa caa bbf eaad daa bbb aaa aad bbb aaa aac fbb daae aac bbd aaa aae bbf caac aaa bbb gggggggggggggggggaaaggggggggggggggggggggggggggggaaagggggg bbb ggggggggggggggggeaagggggggggggggggggggggggggggggeaagggggg fbb ggggggggggggggggaaagggggggggggggggggggggggggggggeaagggggg bbd gggggggggggggggaaaggggggggggggggggggggggggggggggcaagggggg bbf ggggggggggggggcaaegggggggggggggggggggggggggggggggaagggggg bbb ggggggggggggggaaaggggggggggggggggggggggggggggggggaacggggg fbb gggggggggggggeaacggggggggggggggggggggggggggggggggaacggggg dbb gggggggggggggaaagggggggggggggggggggggggggggggggggaaeggggg bbd ggggggggggggaaaggggggggggggggggggggggggggggggggggaaaggggg bbf gggggggggggcaaeggggggggggggggggggggggggggggggggggaaaggggg bbbffdgggggggggggaaagggggggggggggggggggggggggggggggggggaaaggggg fbbbbbbbbbbbbbffeaacgggggggggggggggggggggggggggggggggggeaaggggg bbbbbbbbbbbbbbbaaabbbbbbbfffggggggggggggggggggggggggggcaaggggg ggffbbbbbaaabbbbbbbbbbbbbbbbbbbbfffggggggggggggggcaaggggg gggggggggaaegfffbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffgggaaggggg ggggggggaaaggggggggggggggfffbbbbbbbbbbbbbbbbbbbbbbaabbggg gggggggcaacggggggggggggggggggggggggggfffbbbbbbbbbbaaebggg gggggggaaagggggggggggggggggggggggggggggggggggggggfaaebggg ggggggeaagggggggggggggggggggggggggggggggggggggggggaaagggg ggggggaaagggggggggggggggggggggggggggggggggggggggggaaagggg gggggaaaggggggggggggggggggggggggggggggggggggggggggeaagggg ggggcaaeggggggggggggggggggggggggggggggggggggggggggeaagggg ggggaaagggggggggggggggggggggggggggggggggggggggggggcaagggg gggeaacgggggggggggggggggggggggggggggggggggggggggggcaagggg gggaaagggggggggggggggggggggggggggggggggggggggggggggaagggg ggaaaggggggggggggggggggggggggggggggggggggggggggggggaacggg gcaaeggggggggggggggggggggggggggggggggggggggggggggggaaeggg caec gaaagggggggggggggggggggggggggggggggggggggggggggggggaaeggg eaaaaaaaecd eaacgggggggggggggggggggggggggggggggggggggggggggggggaaaggg aaaaaaaaaaaaaaaecd aaaggggggggggggggggggggggggggggggggggggggggggggggggaaaggg dceaaaaaaaaaaaaaaaed eaa eaa dceaaaaaaaaaaaaaaae ceaaaaaaaaa dcead ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#fa0c1bff b,#5012f4ff c,#fdadb2ff d,#c4affaff e,#f95764ff f,#885ef7ff g,#a90e81ff ``` ```image aaaaa aaaaa eaaaac aaaaac caaaae aaaaac aaaaa eaaaac aaaaa eaaaae eaaaaa caaaae caaaaae caaaae eaaaaac caaaaa caaaaae aaaaa aaaaaa aaaaa aaaaac aaaaac eaaaac eaaaac caaaae eaaaae aaaaa eaaaae caaaac caaaae aaaaa caaaaa eaaaac caaaaa caaaae aaaaa eaaaa aaaaa bbbbffffddd aaaaaa eaaaa bbbbbbbbbbbbbbbffffeaaaaac eaaaa bbbbbbbbbbbbbbbbbbbaaaaaabfffdddd eaaaa bbbbbbbbbbbbbbbbbbbaaaaabbbbbbbbbbbbffffddd caaaa bbbbbbbbbbbbbbbbbbgaaaagbbbbbbbbbbbbbbbbbbbbbbbfffdddd caaaa dddffffbbbbbbbbaaaaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffffddd caaaa ddddeaaaagbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfffdddd caaaa eaaaac ddddfffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfaaaadd caaaae ddddfffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbaaaagbbd aaaaa dddffffbbbbbbbbbbbbbbbbbbbbbbbbbbaaaagbbd caaaae ddddffbbbbbbbbbbbbbbbbbgaaagbbd aaaaa dddffffbbbbbbgaaagbbd eaaaaa dddeaaagbb caaaaae caaae caaaaae aaaa aaaaaa aaaa aaaaac aaaac caaaae aaaac eaaaac eaaac caaaae eaaae aaaaa eaaae eaaaac caaae eaaaac caaaa caaaae aaaa aaaaa aaaac caaaaa aaaac aaaaaa eaaac eaaaaac eaaac aaaaae eaaae caaaae caaae aaaaa caaaa eaaaac caaaa caaaae aaaa ``` <!-- end of image --> Case closed! This is definitely 2 intersections point in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#fa0b1aff b,#5012f4ff c,#fc8b92ff d,#c2adfbff e,#f84352ff f,#885ef7ff g,#fdc7caff ``` ```image fbb bbbb ae bbbbbd eaa bbbbbbf aaa dbbbf bbb aaaag fbbbd fbb caaaac bbbb dbb aaaaae bbbb bbd eaagaaa bbbb bbf aaa aaa bbbf bbb aaa aaa bd fbb gaae eaa dbb aaa caa bbd caac gaa bbf aaa aag bbb aaa aag fbb gaae aac dbb aaa aae bbd caac aaa bbb aaa aaa bbb eaag eaa fbb aaa caa bb aaa caa bbf gaae gaa bbb aaa aag bbb eaag aac dbb aaa aae bbd aaa aae bbf gaae aaa bbb aaa aaa fbb caac eaa dbb aaa caa bbd eaag gaa bbf gaae aa bbb aaa aag fbb caac aac dbb aaa aae bbd eaag aaa bbf aaa aaa bbb aaa eaa fbb gaae eaa dbb aaa caa bbd eaag gaa bbb aaa aag bbb aaa aac fbb gaae aac bb aaa aae bbf caac aaa bbb aaa aaa bbb eaag eaa dbb aaa caa bbd aaa caa bbf caac gaa bbb aaa aag fbb eaag aac dbb aaa aae bbd aaa aae bbf gaae aaa bbbfdd aaa aaa fbbbbbbbbbbbbbffeaac eaa bbbbbbbbbbbbbbbaaabbbbbbbffdd caa ddffbbbbaaabbbbbbbbbbbbbbbbbbbbffdd gaa gaae ddffbbbbbbbbbbbbbbbbbbbbbbbbbbbfdd aa aaa ddffbbbbbbbbbbbbbbbbbbbbbaabb caac ddfbbbbbbbbbbaaeb aaa ddaaeb eaag aaa aaa aaa aaa eaa gaae eaa aaa caa eaag gaa aaa aag aaa aac gaae aac caec aaa aae eaaaaaaaecg caac aaa aaaaaaaaaaaaaaaecg aaa aaa gceaaaaaaaaaaaaaaaeg eaag eaa gceaaaaaaaaaaaaaaae ceaaaaaaaaa gceag ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#960b5eff b,#b1b5f0ff c,#dbabc8ff d,#edeff2ff e,#b1618eff f,#b1d7b1ff g,#9ac297ff ``` ```image ae caaa eaaaae aaac aa caaa aac aaae daa daaad aac caaa daa aaae aad daaad caa eaaa aa aaac eae daaa aa eaae eae aaac aa caaa aac eaae daa aaac aac caaa caa eaae aad daaad eac caaa eac aaae eac daaad eac eaaa eac aaac eac daaad cac eaaa cae aaac cae caaa cae eaae cae aaac cae daa cae c cae dae dae daa daa aa aa aa aa ddddddddddaaddddddddddddddddddd dgfffffffffaafffffffffffffffffffg dffffffffffaafffffffffffffffffffg dffffffffffaafffffffffffffffffffg dffffffffffaafffffffffffffffffffg bbb dffffffffffaafffffffffffffffffffg bbbbbbd dffffffffffaafffffffffffffffffffg bb dbbbbd dffffffffffaafffffffffffffffffffg bbd dbbbbb dffffffffffaafffffffffffffffffffg dbb bbbbbd dffffffffffaafffffffffffffffffffg ad bb dbbbbd dffffffffffaafffffffffffffffffffg eaaa bbb dbbbbb dffffffffffaafffffffffffffffffffg daaae bb bbbbbd dffffffffffaafffffffffffffffffffg eaaa bbd dbbbbddffffffffffaafffffffffffffffffffgaaac dbb dbbbbbfffffffffaaffffffffffffffffffaaaa bbd bbbbbfffffffaaffffffffffffffffgaaac bbb dfbbbbbffffaafffffffffffffffaaaag bb dfffbbbbbffaafffffffffffffeaaagfg bbb dfffffbbbbbaaffffffffffffaaaefffg dbb dffffffffbbaabfffffffffeaaafffffg bbd dffffffffffaabbbffffffaaaeffffffg dbb dffffffffffaabbbbbffeaaaffffffffg bb dffffffffffaafffbbbbaaefffffffffg bbb dffffffffffaafffffbeaabfffffffffg bb dffffffffffaaffffffaabbbbfffffffg bbd dffffffffffaafffffaaeffbbbbbffffg dbb dffffffffffaaffffgaafffffbbbbbffg bbd dffffffffffaagfffaagfffffffbbbbbf bbb dffffffffffaagffeaafffffffffffbbbbb bb dffffffffffeagffaaffffffffffffffbbbbb bbb dffffffffffeagfeaaffffffffffffffg bbbbbd dbb dffffffffffeagfaafffffffffffffffg dbbbb bbd dffffffffffeaeaaefffffffffffffffg bd dbb dffffffffffeaeaaffffffffffffffffg bb dffffffffffeaaagffffffffffffffffg bbb dffffffffffeaaafffffffffffffffffg bb dffffffffffeaaffffffffffffffffffg dbd dffffffffffeaaffffffffffffffffffg dfffffffffffefffffffffffffffffffg dfffffffffffffffffffffffffffffffg dfffffffffffffffffffffffffffffffg ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#96095dff b,#b1b4f0ff c,#cd8db5ff d,#e1dbf1ff e,#bb6298ff f,#a7347bff g,#e0b7d0ff ``` ```image faaad faaad faaad faaad faaad faaad faaag faaag eaaag eaaag eaaag eaaag eaaag eaaag eaaag eaaac eaaac caaac caaac caaac caaac caaac caaac caaac caaae caaae gaaae dd gaaae c bbbd gaaae gfa bbbbbd gaaae eaaa bbbbbbbdd gaaae gfaaaa dbbbbbbbbbd gaaae deaaaaaa dbbbbbbbbbd gaaae gaaaaaafg dbbbbbbbbbbd gaaaf deaaaaaac dbbbbbbbbbd gaaaf caaaaaafd dbbbbbbbbbd daaaf dfaaaaaac dbbbbbbbbbbaaaf caaaaaaed dbbbbbbbaaaf gfaaaaafg dbbbbbaaafd eaaaaaae dbbbaaafbbbd gfaaaaafg baaaabbbbbd deaaaaaac aaaabbbbbbbd gaaaaaafd aaaabbbbbbbbbbd gaaaaaac aaaa dbbbbbbbbbddaaaaafd aaaa dbbbbbbbbeaaaac aaaa dbbbbbbaaaac aaaa dbbfaaafbbd aaaa gaaaacbbbbd aaaa faaafbbbbbbbbd aaaa caaaaddbbbbbbbbbd faaa aaaae dbbbbbbbbbd faaad eaaaa ddbbbbbbbbbd faaad daaaac dbbbbbbbbbd faaad eaaaf dbbbbbbbbbd faaad gaaaag ddbbbbbbbbb faaad faaae dbbbbbbb faaad caaaad dbbbbb faaad aaaae ddbb faaag eaaaa d eaaag daaaac eaaag eaaaf eaaag gaaaag eaaag faaae eaaag caaaad eaaag aaaae eaaageaaaa eaaacaaaac eaaaaaaaf caaaaaaag caaaaaae caaaaaad caaaaae caaaaa caaaac caaaf daaag dcd ``` <!-- end of image --> The lines cross each other within area A, forming 2 intersections. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#96085dff b,#b1b5f1ff c,#cc88b0ff d,#e2ddf3ff e,#b85a92ff f,#a42c75ff g,#e0b8d0ff ``` ```image ae gaaa faaaae aaag aa gaaa fac faae aa aaad aag caaf daa faac aad daaad gaa caaf aa aaac caf daaa aa eaaf eae aaag aa gaaa fac eaae aa aaag aag gaaa gaa faae aa aaad eag caaa eag faac eag daaad eag caaf cac aaac cac daaa cac eaaf cac aaag cac gaaa gae eaae gae aaag gae daa gae c gae daf daf daf af aa aa aa aa aa aa aa aa aa bbb aa bbbbbb aa bb dbbbbd aa bbd dbbbbb aa dbb bbbbbd aa ad bb dbbbbd aa caaa bbb dbbbbb aa aaac bb bbbbbd aa eaaa bbd dbbbbd aa daaac dbb dbbbbb aa faaf bb bbbbbd aa gaaag dbb dbbbbd aa aaaf bb bbbbb aa caaad bbd bbbbbaa aaae bb dbbaad eaaa bbd aabbb daaac dbb aabbbbbd gaaa bb aa dbbbbaac bbb aa bfafb bb aa aabbbbd bbd fa fac dbbbbd dbb fad daa bbbbb bb fad aag dbbbbd dbb fad caa dbbbbd bb eag aa bbbbb bbd eag eaf dbbbbd bb eag aa dbbbb bbd eagfac b dbb eacaa bb caaag bbb caaa bb caa bd caf c ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#cfdae8ff b,#cca4c5ff c,#eef4f1ff d,#a8cfdcff e,#b2d7b2ff f,#96c996ff g,#a7d1a7ff ``` ```image feeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeee feeeeeeeeeeeeeeeeeeeedeeee feeeeeeeeeeeeeeeeeeeedeeee feeeeeeeeeeeeeeeeeeedeeeee feeeeeeeeeeeeeeeeeebdeeeee feeeeeeeeeeeeeeeeeebdeeeee feeeeeeeeeeeeeeeeebdeeeeee feeeeeeeeeeeeeeeebbdeeeeee feeeeeeeeeeeeeeeebedeeeeee feeeeeeeeeeeeeeebedeeeeeee feeeeeeeeeeeeeebbedeeeeeee feeeeeeeeeeeeeebeedeeeeeee feeeeeeeeeeeeebeedeeeeeeee feeeeeeeeeeeebbeedeeeeeeee feeeeeeeeeeeebeeddeeeeeeee feeeeeeeeeeebeeedeeeeeeeee feeeeeeeeeebbeeedeeeeeeeee feeeeeeeeeebeeeddeeeeeeeee feeeeeeeeebeeeedeeeeeeeeee feeeeeeeebbeeeedeeeeeeeeee feeeeeeeebeeeeddeeeeeeeeee feeeeeeebeeeeedeeeeeeeeeee feeeeeebbeeeeedeeeeeeeeeee feeeeeebeeeeeddeeeeeeeeeee feeeeebeeeeeedeeeeeeeeeeee feeeebbeeeeeedeeeeeeeeeeee feeeebeeeeeeddeeeeeeeeeeee feeebeeeeeeedeeeeeeeeeeeee feebbeeeeeeedeeeeeeeeeeeee feebeeeeeeeddeeeeeeeeeeeee febeeeeeeeedeeeeeeeeeeeeee fbbeeeeeeeedeeeeeeeeeeeeee fbggggggggdegggggggggggggg bcccccccccdccccccccccccccc bb d b aa bc d bb cd b da bc d ab cd b dc bc d ab cd b dc bc d ab cd b dc bc d ab cd b dc bc d c ab cd dc b dc aa bc d ccccdcccccccccccccccccccccccccccccccccccccccc ab cd ggggdgggggggggggggggggggggggggggggggggggggggf b dc eeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbc d eeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegb cd eeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb dc eeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebg d eeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbf ad eeeeedeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebef dc eeeeeddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeef d eeeeeedeeeeeeeeeeeeeeeeeebbbbbbbbeeeeeeebbeef aa eeeeeedeeeeeeeeeeeeebbbbbbeeeeeeebbbbeeebeeef d eeeeeedeeeeeeeebbbbbbeeeeeeeeeeeeeeeebbddeeef d eeeeeedeeebbbbbbeeeeeeeeeeeeeeeeeeeddddeeddef cd eeeeebbdbbbeeeeeeeeeeeeeeeeeeedddddeeeeeeeddf aa eeebbeedeeeeeeeeeeeeeeeeeedddddeeeeeeeeeeeeedc aa eeeeeeedeeeeeeeeeeeeedddddeeeeeeeeeeeeeeeeeefdd dc eeeeeeedeeeeeeeeedddddeeeeeeeeeeeeeeeeeeeeeef adc d eeeeeeeddeeedddddeeeeeeeeeeeeeeeeeeeeeeeeeeef dd d eeeeeeeedddddeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef adc d eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cda d eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dd d eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cda d eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef dd cd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cdaa eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef da eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef ffffffffffffffffffffffffffffffffffffffffffffg ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bedae8ff b,#cf9fc8ff c,#f1f0f6ff d,#a7cee0ff e,#e8d2e5ff f,#d7e8f0ff g,#dbb7d6ff ``` ```image ddc adf fda cdd ddc adf fda c fda g cdd eb ddc cbb adf gbg fda ebbc cdd cbbe ddc gbg adf ebbc fda c cbbe fda ceggbbbgec gbg cdd ceggbbbbbbbbbbbbgec ebbc ddc ceggbbbbbbbgeec cegbbbbbbgec cbbe adf ceggbbbbbbbgeec cegbbbbbbgec gbg fda cegbbbbbbbbgeec cegbbbbbbgeebbc cdd cegbbbbbbbbgeec cegbbbbdddf ddc ccegbbbbbbbbgecc cffadddddddac adf ccegbbbbbbbbgecc cfadddddddafcfdddf adagbbbbbbbbgec ffaddddddaafc addac ceegbbddbbbbgec cfadddddddafc fdddf cbbbbbbbddec cfaddddddaafc cadd cbbggec ddc cfaaddddddafc fd c adf cfadddddddafc c fda cffaddddddaff cdd cfadddddddafc ddc ffaddddddaffc adf cfadddddddafc fda cfaddddddaafc fda cfaaddddddafc cdddddddddafc ddddaff cfc ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Now, let's dive into another area. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#bed9e7ff b,#cf9fc8ff c,#f2f1f6ff d,#a7cee0ff e,#e9d3e5ff f,#d6e7efff g,#dab5d4ff ``` ```image fc fdd ada ddg fddc dda gddc cbdd bddf ebddc cbbda bbddf ebbddc cbbfda bbgadf ebbcddc cbbefda gbg adf ebb cddc cbbe fda gbg adf ebb cddc cbbe fda gbg adf ebbc cdd cbbe fda gbg adf ebbc cdd cbbe fda gbg adf ebbc cdd cbbe fda gbg ddf ebbc cdd cbbe fda gbg ddf ebbc cdd cbbe fda gbg ddf ebbc cdd cbbe fda gbg ddc ebbc cdd cbbe ada gbg ddc ebbc cdd cbbe ada gbg ddc ebbc cdd cbbe adf gbg ddc ebbc fdd cbbe adf gbg ddc ebbc fdd cbbe adf gbg ddc ebbc fdd cbbe adf gbg ddc ebbc fda cbbe adf gbg ddc ebbc fda ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The image features two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#bbd9e7ff b,#cf9fc8ff c,#f0f0f6ff d,#a7cee0ff e,#e9d3e6ff f,#d3e6efff g,#dbb7d5ff ``` ```image f d fd dc bd cba bdc bgd cbfa b dc gg d cb fa b d gg d cb fa bc d gg d cb fa bc d gg d cb fa bc d gg d cb af bc d gg d cb af bc d gg d cb af bc d gg d cb af bc d gg cd cb af bc d gg cd cb af bc d gg cd b af bc d gb cd b df bc d gb cd b dc bc d gb cd b dc bc d c eb cd dc b dc ff be d cd eb fa d b dc d be d af eb fa fa b dc d be d d eb fa dc b dc ff c be d cd cgbbbbbbgc eb fa d cgbbbbec ebbbgc b d d cgbbbbec ebbdd d af egbbbbec fddddfcdf ca egbdbbe cadddac dd fa bge d fadddf fdf af d cfdddac dd ac dc cadddfc fdc d ff fdddaf da d cddddac adc d f cda d ad d cdf d dd cd fdaa df ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c7568ff b,#c7467fff c,#ddbbc4ff d,#b89594ff e,#b1d7b1ff f,#a3cca1ff g,#eff1ecff ``` ```image gd aaa aaa caac aaa fffaaaffffffffffffff eeeaaaeeeeeeeeeeeeefg eeefaadeeeeeeeeeeeefg eeeeaaaeeeeeeeeeeeefg eeeeaaaeeeeeeeeeeeefg eeeeaaaeeeeeeeeeeeefg eeeefaadeeeeeeeeeeefg eeeeeaaaedeeeeeeeeefg eeeeeaaabbbfeeeeeeefg eeeeeaaabbbbdeeeeeefg eeeeefaabbbbbbeeeeefg eeeeeeabbbbbbbbeeeefg eeeeeeabbbedbbbbeeefg gd eeeeeeabbbeefbbbbeefg aaa eeeeeefbbbeeeebbbbdfg daaa eeeeeedbbaeeeeebbbbdg aaaa eeeeeebbbaeeeeeebbbbb daaaag eeeeeebbbaeeeeeeedbbbb aaaaac eeeeeebbbadeeeeeeefbbbb aaacaad eeeeedbbbaaeeeeeeeefbbbbg gaaa aaa eeeeebbbaaaeeeeeeeefgbbbbc aaac aaa eeeeebbbaaafeeeeeeefg bbbbd caaa aaa eeeeebbbfaadeeeeeeefg dbbbb aaag daa eeeefbbdeaaaeeeeeeefg cbbbb caaa caac eeeedbbfeaaaeeeeeeefg gbbbbg aaa gaad eeeebbbeeaaafeeeeeefg bbbbc daad aaa eeeebbbeefaadeeeeeefg bbbbd aaa aaa eeeebbbeeeaaaeeeeeefg dbbbb aaac aaa eeedbbdeeeaaaeeeeeefg cbbbb gaaa aaa eeedbbeeeeaaafeeeeefg gbbbbg aaac daag eeebbbeeeefaadeeeeefg bbbbg caaa caac fffbbbfffffaaaffffffg bbbbc aaag aad gggbbbgggggaaagggggg bbbbb fffffffffffffffffffdaaaffffffffffaaaffffffff bbb daag dbbbb gfeeeeeeeeeeeeeeeeeeaaaeeeeeeeeeeeaaaeeeeeeee bbb gaad cbbbbgfeeeeeeeeeeeeeeeeeaaaaeeeeeeeeeeeaaaeeeeeeee bbb aaa gbbbbfeeeeeeeeeeeeeeeeeaaaeeeeeeeeeeeeaaaeeeeeeee bbb aaa bbbbdeeeeeeeeeeeeeeeaaadeeeeeeeeeeeedaafeeeeeee bbb daag bbbbdeeeeeeeeeeeeeeaaaeeeeeeeeeeeeefaadeeeeeee bbb gaad dbbbbeeeeeeeeeeeeaaadeeeeeeeeeeeeeeaaaeeeeeee bbb aaa gdbbbbeeeeeeeeeefaaaeeeeeeeeeeeeeeeaaaeeeeeee bbb aaa gffbbbbeeeeeeeeeaaafeeeeeeeeeeeeeeeaaaeeeeeee bbb daag gfeebbbbdeeeeeedaaaeeeeeeeeeeeeeeeeaaaeeeeeee bbb gaad gfeeebbbbdeeeeeaaaeeeeeeeeeeeeeeeeedaafeeeeee bbb aaa gfeeeebbbbbeefaaaaeeeeeeeeeeeeeeeeefaadeeeeee bbb aaa gfeeeeedbbbbfaaaaeeeeeeeeeeeeeeeeeeeaaaeeeeee bbb daag gfeeeeeedbbbbaaaeeeeeeeeeeeeeeeeeeeeaaaeeeeee bbb gaad gfeeeeeeeebbbbaeeeeeeeeeeeeeeeeeeeeeaaaeeeeee bbb aaa gfeeeeeeedabbbbdeeeeeeeeeeeeeeeeeeeeaaaeeeeee bbb aaa gfeeeeeedaaabbbbbeeeeeeeeeeeeeeeeeeeaaaeeeeee bbb daag gfeeeeeaaaadedbbbbeeeeeeeeeeeeeeeeeedaafeeeee bbb gaad gfeeeeaaaadeeedbbbbeeeeeeeeeeeeeeeeefaadeeeee bbb aaa gfeeeaaaafeeeeefbbbbeeeeeeeeeeeeeeeeeaaaeeeee bbb aaa gfeeaaaafeeeeeeeebbbbdeeeeeeeeeeeeeeeaaaeeeee bbd daag gfeaaaaeeeeeeeeeeebbbbdeeeeeeeeeeeeeeaaaeeeee bbd gaad gfaaaaeeeeeeeeeeeeebbbbbeeeeeeeeeeeeeaaaeeeee gbbd aaa gaaaaeeeeeeeeeeeeeeedbbbbeeeeeeeeeeeedaafeeee gbbc aaa gaaaaeeeeeeeeeeeeeeeeefbbbbeeeeeeeeeeefaadeeee gbbc daag gaaaaeeeeeeeeeeeeeeeeeeeebbbbfeeeeeeeeeeaaaeeee cbbc gaad caaaaeeeeeeeeeeeeeeeeeeeeeebbbbdeeeeeeeeeaaaeeee cbbc aaa caaaafeeeeeeeeeeeeeeeeeeeeeeebbbbbeeeeeeeeaaaeeee cbbc aaa caaadgfeeeeeeeeeeeeeeeeeeeeeeeedbbbbeeeeeeeaaaeeee cbbc daag daaad gfeeeeeeeeeeeeeeeeeeeeeeeeedbbbbeeeeeeaaaeeee cbbg gaad daaac gfeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbeeeeedaafeee cbbg aaa aaaac gfeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbdeeefaadeee cbbg aaa aaaac gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbdeeeaaaeee dbbg daag aaaag gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbeeaaaeee dbb gaad aaaag gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbbbeaaaeee dbb aaa aaaa gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbaaaeee bbb aaa aaaa gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbfeeee bbb daac gaaaa gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbdeee bbb gaad gaaaa gfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbdee bbb aaa caaaa gffffffffffffffffffffffffffffffffffffffdbbfff bbb aaacaaaa gggggggggggggggggggggggggggggggggggggggcgggg daaaaad gaaaad aaad dac ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#9c7468ff b,#c7457eff c,#cca9abff d,#d677a1ff e,#e4c7cfff f,#ac8c81ff g,#f6ebeeff ``` ```image caaaaae eaaaaac gaaaaaf faaaaag caaaaae eaaaaac gaaaaaf faaaaag caaaaae eaaaaac gaaaaaf faaaaag caaaaae eaaaaac gaaaaaf faaaaag ece caaaaaedbbbdg eaaaaacbbbbbbg gaaaaabbbbbbbbe faaaabbbbbbbbbe caaaabbbbbbbbbbd eaaaabbbbbbbbbbbdg gaaaabbbbbbbbbbbbdg faabbbbbbdbbbbbbbbe caabbbbbb cbbbbbbbbe eaabbbbbd ebbbbbbbbc gaabbbbbc ebbbbbbbbd fbbbbbbe gdbbbbbbbdg cbbbbbbg gdbbbbbbbbg ebbbbbb dbbbbbbbbe ebbbbbb ebbbbbbbbe cbbbbbag ebbbbbbbb dbbbbbae gbbbbbbb bbbbbbac gdbbbbb gbbbbbbaf dbbbb ebbbbbaaag cbbb dbbbbbaaae ebb bbbbbbaaac eb gbbbbbbaaaf g ebbbbbbaaaag dbbbbbaaaaae dbbbbbaaaaac gbbbbbdaaaaaf ebbbbbdfaaaaag cbbbbbecaaaaae dbbbbbgeaaaaac bbbbbb aaaaaf gbbbbbd faaaaag ebbbbbe caaaaae dbbbbbg eaaaaac bbbbbb aaaaaf gbbbbbd faaaaag ebbbbbc caaaaae dbbbbbe eaaaaac dbbbbbg aaaaaf gbbbbbd faaaaag ebbbbbd caaaaae cbbbbbe eaaaaac dbbbbbg aaaaaf dbbbbb faaaaag dbbbbb caaaaae dbbbbb eaaaaac dbbbbb aaaaaf dbbbbb faaaaag ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Moving on to the next area. I'm analyzing this close-up of area B with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#9c7568ff b,#c8447eff c,#cfabafff d,#d4709cff e,#e2c7cdff f,#b09288ff g,#f1e4e7ff ``` ```image aaaaaac faaaaa caaaaaag faaaaag gaaaaaac caaaaae caaaaaa eaaaaae gaaaaaae gaaaaac faaaaaf aaaaaf eaaaaaae aaaaaf dg faaaaaf faaaaa bbe eaaaaaag caaaaag bbbe aaaaaac caaaaae bbbbc caaaaaag eaaaaac bbbbbd gaaaaaac gaaaaac bbbbbbdg caaaaaa aaaaaf bbbbbbbbg gaaaaaae faaaaa cbbbbbbbbe faaaaaf faaaaag ebbbbbbbbc gaaaaaae caaaaag ebbbbbbbbd faaaaaf eaaaaae gdbbbbbbbd eaaaaaag gaaaaac gdbbbbbbbdg faaaaac aaaaaf dbbbbbbbbe caaaaaag aaaaaf cbbbbbbbbe aaaaaac faaaaa ebbbbbbbbc faaaaaa caaaaag gbbbbbbbbd gfaaaaaae caaaaae gdbbbbbbbdg gfaaaaaaf eaaaaac dbbbbbbbbg gfaaaaaaae gaaaaac cbbbbbbbbegaaaaaaaae aaaaaf ebbbbbbbbaaaaaaaae faaaaa ebbbbbbbbbaaaaag faaaaag gdbbbbbbbbaaag caaaaag dbbbbbbbbag eaaaaae cbbbbbbbbbe gaaaaac caaabbbbbbbbe gaaaaaf caaaaabbbbbbbbc aaaaaf faaaaaaabbbbbbbbd faaaaa faaaaaaacgdbbbbbbbdg caaaaag faaaaaaac dbbbbbbbbg caaaaae gfaaaaaaac cbbbbbbbbe eaaaaac gfaaaaaaae ebbbbbbbbc gaaaaac gaaaaaaaae gbbbbbbbbd aaaaaf gaaaaaaaae gdbbbbbbbdg faaaaa eaaaaaaaag dbbbbbbbbg faaaaag eaaaaaaaag cbbbbbbbbe caaaaag eaaaaaaafg ebbbbbbbbc eaaaaae caaaaaaafg ebbbbbbbbc gaaaaac caaaaaaaf gbbbbbbbbd gaaaaaf caaaaaaaf gdbbbbbbbdg aaaaaf faaaaaaaf dbbbbbbbbg faaaaa faaaaaaac cbbbbbbbbe caaaaag aaaaaaac ebbbbbbbbc caaaaae aaaaaac gbbbbbbbbd eaaaaac aaaaae gdbbbbbbbdg gaaaaac aaaae dbbbbbbbbg aaaaaf aaae cbbbbbbbbe faaaaa aag ebbbbbbbbc faaaaag ag ebbbbbbbbd caaaaag g gdbbbbbbbd eaaaaae gdbbbbbbbdg gaaaaac dbbbbbbbbe gaaaaaf cbbbbbbbbe aaaaaf ebbbbbbbbc faaaaa gbbbbbbbbd caaaaag gdbbbbbbbdg caaaaae dbbbbbbbbg eaaaaac cbbbbbbbbe gaaaaac ebbbbbbbbc aaaaaf ebbbbbbbbd faaaaa gdbbbbbbbdg faaaaag dbbbbbbbdg caaaaag dbbbbbbbbe eaaaaae cbbbbbbbbe gaaaaac ebbbbbbbbcgaaaaaf gbbbbbbbbdaaaaaf gdbbbbbbbbafcce dbbbbbbbbg cbbbbbbbbe ebbbbbbbbc gbbbbbbbbd gdbbbbbbbc dbbbbbd ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9c7568ff b,#c8447eff c,#d8a9b6ff d,#d46f9cff e,#e3cbd0ff f,#b79b91ff g,#f1e5e7ff ``` ```image gf aaa aaa eaac aaa aaa faa eaac aaa aaa faa eaac aaa c aaabbbg faabbbbc eaabbbbbd abbbdbbbb abbb ebbbb gf fbbb gbbbbg aaa ebbb bbbbe faaa cbba bbbbc aaaa bbba dbbbd faaaag bbbag cbbbb aaaaac bbbaf gbbbb aaacaaf ebbbaa bbbbg gaaa aaa dbbaaa bbbbc aaae aaa bbbfaag dbbbd eaaa aaa bbbeaaf dbbbb aaag faa gbbd aaa ebbbb caaa caae dbbg aaa gbbbbg aaa gaaf bbb faag bbbbe faaf aaa bbb eaaf bbbbd aaa aaa bbd aaa dbbbb aaac aaa cbbe aaa cbbbb gaaa aaa dbb faag gbbbb aaae faag dbb eaaf bbbbg eaaa eaac dbb aaa bbbbc aaag aaf dbb aaa dbbbd caaa aaa bbb faag cbbbb aaa aaa bbb eaaf ebbbb faaf aaa bbb aaa gbbbbg aaa faa bbb aaa bbbbe aaaf caae bbb faag bbbbd gaaa gaaf bbb gaaf dbbbb aaae aaa bbb aaa cbbbb eaaa aaa bbb aaa gbbbbg aaag aaa bbb faag bbbbe caaa aaa bbb gaaf bbbbc aaa faag bbb aaa dbbbd gaaaa eaac bbb aaa cbbbbgaaaa aaf bbb faag ebbbbaaa aaa bbb gaaf bbbba aaa bbb aaa cabbbbc aaa bbb aaa faaabbbbd faa bbb faag faaac dbbbb caae bbb gaaf aaaae ebbbb gaaf bbd aaa aaaae gbbbbg aaa bbd aaa aaaag bbbbe aaa bbd faag aaaag bbbbc aaa bbd gaaf aaaa dbbbd aaa gbbd aaa aaaa cbbbb faag gbbc aaa gaaaa gbbbb eaac gbbc faag gaaaa bbbbg aaf ebbc gaaf eaaaa bbbbc aaa ebbc aaa eaaaa dbbbd aaa ebbe aaa caaaf dbbbb aaa cbbe faae faaaf ebbbb faa cbbe gaaf faaac gbbbbg caae cbbg aaa aaaae bbbbe gaaf cbbg aaa aaaae bbbbd aaa dbbg faae aaaag dbbbd aaa dbb gaaf aaaag cbbbb aaa dbb aaa aaaa gbbbbaaa dbb aaa aaaa bbbbg dbb faae gaaaa bbbbc bbb gaaf gaaaa dbbbc bbb aaa eaaaa cbd bbb aaaeaaaa e faaaaaf gaaaaf aaac cae ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#1cc9feff b,#70c3b4ff c,#b5ebf8ff d,#64d8f6ff e,#b1d7b2ff f,#ecf6f2ff g,#a0cfa5ff ``` ```image e cbbbb fbbbbf be ebbbc fbf cbbbe bb ac fbbbbf bb ad gbbbf fbc ad ebbbc eb caa cbbbe bb daa bbf bg aaa fbf ada bb aca bb a a bc ca a cb da ac bb ad ac bb ac ad fbf af ad gb a aa bb ca da be da ca cbf ad ca bb ac fa f bb af a ac fbf a a aa eb fffffffffffffcaffffacffffffffffff ca bb fgggggggggggggdaggggabgggggggggggg ac be fgeeeeeeeeeeeeaaeeeeadeeeeeeeeeeeg aa cbf fgeeeeeeeeeeeeadeeeeaaeeeeeeeeeeeg ca bb fgeeeeeeeeeeeeageeeeaaeeeeeeeeeeeg ac bbfgeeeeeeeeeeeeaeeeeedaeeeeeeeeeeegb aa fbcgeeeeeeeeeeebaeeeeedaeeeeeeeeeebbbf ca ebgeeeeeeeeeeedaeeeeebaeeeeeeeebbbg af bbeeeeeeeeeeeaaeeeeeeaeeeeeebbbgeg ad fbbeeeeeeeeeeadeeeeeeaeeeebbbgeeeg da fgbeeeeeeeeeeageeeeeeaeebbbgeeeeeg a fgbbeeeeeeeeeaeeeeeeeabbbgeeeeeeeg ad fgebbeeeeeeebaeeeeeebabgeeeeeeeeeg da fgeebgeeeeeedaeeeebbbadeeeeeeeeeeg a fgeebbeeeeeeaaeebbbgeaaeeeeeeeeeeg ad fgeeebbeeeeeadbbbgeeeaaeeeeeeeeeeg da fgeeeebbeeeeabbgeeeeedaeeeeeeeeeeg fa fgeeeegbgegbageeeeeeebaeeeeeeeeeeg ac fgeeeeebbbbbaeeeeeeeebaeeeeeeeeeeg aa fgeeeeeebbedaeeeeeeeeeaeeeeeeeeeeg ca fgeeeeeeeeeaaeeeeeeeeeaeeeeeeeeeeg ac fgeeeeeeeeeadeeeeeeeeeaeeeeeeeeeeg aa fgeeeeeeeeeageeeeeeeeeabeeeeeeeeeg ca fgeeeeeeeeeaeeeeeeeeeeabeeeeeeeeeg ac fgeeeeeeeebaeeeeeeeeeeadeeeeeeeeeg aa fgeeeeeeeedaeeeeeeeeeeaaeeeeeeeeeg ca fgeeeeeeeeaaeeeeeeeeeeaaeeeeeeeeeg af fgeeeeeeeeadeeeeeeeeeedaeeeeeeeeeg ad fgggggggggabggggggggggbagggggggggg da fffffffffafffffffffffcaffffffffff a ca fa ad da a da aa af a ad ac ad ac ac da a ad fa ca aa ac da da aa aa daaacf cad ad cdaaaaaadc daaac ac fcaaaaf faaad a caaac ca daaaf da caaad aa daaac ad caaad ac daaac a faaad fa caaac da daaaf aa caaad ad daaac ac caaada daa ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#19c9feff b,#6dc2b3ff c,#a6e9ffff d,#78defdff e,#9cd5cbff f,#d2eff1ff g,#4bd4fdff ``` ```image daac caac daaf caac gaa caad aag faad faad faag caad aag daac aag daaf gaa gaa gaa aag daaf faad daaf f caad caac fbb caac caac fbbbb e daaf caad fbbbbbe be gaa faad fbbbbbef bbf aag aag fbbbbbef bbb faag aag fbbbbbef ebbe caad aag febbbbef bbbf caac gaa febbbbef fbbbf daaf gaa febbbbef ebbe gaa daaffebbbbef bbbe aag daabbbbbbf fbbbf faag daabbbbf fbbb caad febaagbf ebbe caac febbbaad bbbf daaf febbbbbaad fbbbf gaa febbbbbffaag ebbb aag febbbbbf aag bbbe faag ebbbbbf aaa fbbbf caad ebbbbbe gaa fbbb caadbbbbbe gaa ebbe daabbbbe daaf bbbf eaaabbe daaf fbbbf ebbaaae caac ebbb ebbbbaag caac ebbbbbbbeaad faad fbbbbbe caac faad fbbe daaf aag gaa aag aag aaa aag gaa faad gaa caac daaf daaf daaf gaa caac aaa caac aag faad faad faad caac aag daaf aag gaa aaa aaa gaa aag gaa faad daaf caac daaf daaf caac ``` <!-- end of image --> Gotcha! I've found 2 intersections hiding in area A! Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#19c9ffff b,#6ec2b3ff c,#a7eaffff d,#75defeff e,#a4d8cfff f,#d6f2f6ff g,#41d1fdff ``` ```image e fbbbb fbbbbf be ebbbf fbf ebbbe bb ac fbbbe bb ad ebbbf be ag ebbbe eb caa fbbbe bb gaa bbf be aaa fbf aga eb afa bb a a be ca a eb da af bb ag ac be ac ad fbf af ag eb a ga bb ca da be da da eb ag ca bb ac fa bb af a ac fbf a a ga eb ca af fa bb da ac ac be ag ad aa fb ad ag ca bb af ga af bb a da b ag fbf ca ca bbbf ca eb da ca bbbf af bb ag fa bbbf ag be ad a bbbf da fbf af a ebbf a bb a abbbf ad bb ca eagf da bf da ebbad a eb ag ebbe ag ad bb adebbe ga ga be abbe da fa fbf ebae ca ac bbbbda fa ga be da a fa ag a ac ad a aa af af ca a ac af fa ad ag da ag ca ag ga af ad da ag af ca da a fa a fa a ad da a da ga af a ad ac ad af ac ga a ad fa fa ag ac da ga ga ga daagcf fad ad fdaaaaaadf daaac ac fcgaaaf fgaag a caaac fa gaagf da caaad ga daaaf ad faaad ac daaac a fgaag fa caaac da gaagf ga caaad ad daaaf ac faaada daa ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#ceb46dff b,#b6ae20ff c,#f2f3e8ff d,#b1d7b0ff e,#d4853aff f,#e8d4abff g,#9cc992ff ``` ```image ddddddddddddddddc ddddddddddddddddc ddddddddddddddddc ddbbbdddddddddddc ddgebdddddddddddc fba ddaeeeadddddddddc bbbb ddaeeeeeedddddddc fbbba dddgbeeeeeeaddddc bbbbc ddddbbgaeeeeeegdc gggggggggggggggggggggggd fbbbb ddddbbbdddaeeeeea cdddddddddddddddddddddddg bbbbc ddddabbddddddeeeeeef cdddddddddddddddddddddddg fbbbb dddddbbddddddddaeeeeeec cdddddddddddddddddddddddg bbbbc dddddbbbddddddddc aeeeeea cdddddddddddddddddddddddg fbbbb dddddabbddddddddc feeeeeef cdddddddddddddddddddddddg bbbbc ddddddbbddddddddc feeeeeec cdddddddddddddddddddddddgfbbbb ddddddbbadddddddc ceeeeeea cdddddddddddddddddddddddbbbbc ddddddabbdddddddc feeeeeef cdddddddddddddddddddddgbbbb dddddddbbdddddddc aeeeeea cddddddddddddddddddddbbbbf dddddddbbaddddddc ceeeeeefcddddddddddddddddddgbbbbg dddddddabbddddddc feeeeeeddddddddddddddddbbbbgdg ddddddddbbddddddc aeeeeeadddddddddddgbbbbdddg ddddddddbbadddddc feeeeeeadddddddbbbbgddddg ggggggggbbbggggg cddaeeeeeedddgbbbbddddddg cbb cdddddeeeeeeebbbgdddddddg bbf cdddddddaeeeeeegddddddddg abb cddddddddbbeeeeeeaddddddg cbb cddddddgbbbbdgeeeeedddddg bbf cdddddbbbbgdddddaeedddddg bbb cdddgbbbbddddddddeeaddddg cbb cdddbbbgdddddddddeeeddddg bbf cddbbbdddddddddddaeeddddg bbb cdbbbdddddddddddddeeddddg fbb cbbbddddddddddddddeeddddg bbf bbbgddddddddddddddeeadddg bbb abbgdddddddddddddddeeedddg fbb abbaddddddddddddddddaeedddg bbc fbbaddddddddddddddddddeedddg bbb cbbbcddddddddddddddddddeedddg fbb cbbb cddddddddddddddddddeeaddg bbc bbb cddddddddddddddddddeeeddg bba bbb cgdddddddddddddddddaeeddg fbb bbbc ccccccccccccccccccceecc bbc bbbf ee bba abba eef abb fbba eea bb cbbb aee bba cbbb cee abb bbb ee bb bbb eef bba bbbc eea fee abb bbbf aee eee cbb abbf fee eec bbf fbba ee aee abb cbbb eef eef cbb cbbb eea fee bbfbbb aee eee bbbbb fee eec cbbbc ee aee bbf eec eea eea cee aee eee fee eec ee aee eec eea eef cee aee eee fee eef ee fee eec eea eef cee eee eee fee eef cee fee eec eea eef cee eea aee fee eef ceefee eeeee eeeec eeee aeef cee af ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e0a56fff b,#b6ad1fff c,#efe7caff d,#d1cc74ff e,#d48539ff f,#e5cfa0ff g,#c3ba46ff ``` ```image cdbd gbbbb dbbbbc ceebbd eeeeec feeeeeeaf aeeeeeeeeeac feeeeeeeeeeeef geeeeeeeeeeeeac fbbbeeeeeeeeeeeefc bbbbgaeeeeeeeeeeeaf gbbbbc faeeeeeeeeeeeac fbbbbf cfeeeeeeeeeeeef bbbbg caeeeeeeeeee gbbbbc faeeeeeee fbbbbf cfeeeee cbbbbg caee gbbbb f fbbbbf cbbbbg gbbbb dbbbbf cbbbbd gbbbb dbbbbf cbbbbd gbbbb dbbbbc cbbbbd bbbbb dbbbbc cbbbbd bbbbb dbbbbc cbbbbd bbbbg dbbbbc fbbbbd ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Next up, a closer look at another region. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#dea46aff b,#b6ae20ff c,#f9f4eaff d,#e7c59bff e,#d5843aff f,#ede0bfff g,#cec96aff ``` ```image cg fbb cgbbb fbbbbb cgbbbbbb fbbbbbbbb f cgbbbbbbbgc eedc fbbbbbbbbf eeeeadc cgbbbbbbbgc eeeeeeeaf fbbbbbbbbf eeeeeeeeeedc cgbbbbbbbgc aeeeeeeeeeeeaf fbbbbbbbbf cdaeeeeeeeeeeedf cgbbbbbbbgc cdeeeeeeeeeeeadc fbbbbbbbbf faeeeeeeeeeeeaf cgbbbbbbbgc cdaeeeeeeeeeeeebbbbbbbf faeeeeeeeeeeeebbbgc cfaeeeeeeeeeeeaf faeeeeeeeeeeeedc fbbbbeeeeeeeeeeeeaf cgbbbbbbbaaeeeeeeeeeeec fbbbbbbbbf cdeeeeeeeeea cgbbbbbbbgc faeeeeeee fbbbbbbbbf cdeeeeec cgbbbbbbbgc deeeef fbbbbbbbbf feeeed fbbbbbbbgc eeeea cbbbbbbbf aeeee cbbbbbbgc aeeeec gbbbbbd deeeef gbbbbbd feeeed gbbbbbg ceeeea dbbbbbg aeeee fbbbbbgc aeeeec bbbbbbc deeeef bbbbbc feeeed bbbbf ceeeea bbbf eeeee bbd aeeeec bg deeeef g feeeed c ceeeea eeeea aeeeec deeeef feeeed ceeeea eeeea aeeee deeeef ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area B. Answer: A: 1; B: 1; 1 + 1 = 2 After a thorough search, I conclude that there are two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#dc9b5eff b,#b6ae1fff c,#f3ead5ff d,#ddc082ff e,#d48439ff f,#e8d5aaff g,#c2bb45ff ``` ```image gbb feb fbd feeef bbbb deeeeeac fbbbg fbeeeeeed bbbbc bbcfeeeeeec fbbbg bbg deeeeea bbbbc fbb ceeeeeef fbbbg bbc feeeeeec bbbbc bbg aeeeeed fbbbg dbb ceeeeeef bbbbc bb deeeeeac fbbbg bbd caeeeeed bbbbc dbb feeeeeec fbbbg bb deeeeea bbbbc bbd ceeeeeef fbbbg dbb feeeeeec bbbbc bb aeeeeed fbbbg bbd ceeeeeef bbbbc gbb deeeeeac fbbbg bb caeeeeeebbbf bbf feeeeeec gbb gbeeeeeea cbb cbbbg ceeeee bbf gbbbf feec gbb cbbbb eed cbb cbbbf aee bbf bbb fee bbb bbb ee cbb bbb eec bbc bbbc eef bbg gbbf aea fbb dbbd fee bbc fbbg ee bbg cbbb ee fbb bbb eef bbc bbb eea bbg bbb dee dbb bbbc cee bb gbbf ee bbg dbbd eef dbb fbbg eea bb cbbb dee bbd bbb cee dbb bbb ee bb bbb eef bbd bbbc eea fee gbb gbbf dee eea bb dbbd cee eec bbd fbbg ee aee gbb cbbg eec eed cbb bbb eed cee bbfbbb aee eee gbbbb fee eec cbbbc ee dee bbc eec eed eed cee aee eee fee eec ee dee eec eed eed cee aee eee fee eec ee dee eec eea eef cee aea aee fee eef ee fee ee eea eef ee eea aee dee eef ceefee eeeea eeee eeee deef cee df ``` <!-- end of image -->
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I have an image in front of me. I need to determine if there are any intersection segments. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#068c70ff b,#f0d8b7ff c,#73bca3ff d,#b1d7b1ff e,#40a486ff f,#96c996ff g,#edf4edff ``` ```image cg gggggggggggaaaggggggggggggggggggggggggggggggggggggg fddddddddddaaaedddddddddddddddddddddddddddddddddddf fddddddddddaaaadddddddddddddddddddddddddddddddddddf gbbbb fddddddddddaaaaeddddddddddddddddddddddddddddddddddf ggbbbbbbbbbbbb fddddddddddaaaaaddddddddddddddddddddddddddddddddddf bbbbbbbbbbbbbbbbbbbbdddddddddfaaaaaedddddddddddddddddddddddddddddddddf bbbbbbbbbbbbbbbbbbbbbddddddddcaaaaaadddddddddddddddddddddddddddddddddf bbbbbbbbgg gbbbbbbddddddcaaaaaaeddddddddddddddddddddddddddddddddf bbbg bbbbbbdddddeaaaeaaaddddddddddddddddddddddddddddddddf gbbb fbbbbbbdddeaaadaaaedddddddddddddddddddddddddddddddf gdd bbbb fdbbbbbbddaaaedeaaadddddddddddddddddddddddddddddddf aaag bbb fdddbbbbbbaaaeddaaaeddddddddddddddddddddddddddddddf aaag bbbb fddddbbbbbaaaeddeaaaddddddddddddddddddddddddddddddf aaad bbbg fddddddbbbaaacdddaaaedddddddddddddddddddddddddddddf aaac gbbb fdddddddbbaaaddddeaaadddddddddddddddddddddddddddddf aaac bbbb fdddddddddaaadbbddaaaeddddddddddddddddddddddddddddf eaae gbbb fdddddddddaaabbbbdeaaaddddddddddddddddddddddddddddf eaaa bbbb fdddddddddaaabbbbbbaaaedddddddddddddddddddddddddddf caaa bbbg fdddddddddaaadbbbbbeaaadddddddddddddddddddddddddddf daaa bbbb fdddddddddaaadddbbbbaaaeddddddddddddddddddddddddddf daaa bbbb fdddddddddaaaddddbbbeaaaddddddddddddddddddddddddddf gggaaagggggbbbggg fddddddddfaaaddddddbbaaaedddddddddddddddddddddddddf dddaaaddddbbbbddfg fddddddddcaaadddddddbeaaadddddddddddddddddddddddddf dddaaaddddbbbddddg fddddddddcaaadddddddbbaaaeddddddddddddddddddddddddf dddaaadddbbbbddddg fddddddddeaaaddddddddbeaaaddddddddddddddddddddddddf dddaaadddbbbbddddg fddddddddeaaaddddddddbbaaaedddddddddddddddddddddddf dddaaafddbbbdddddg fddddddddeaaedddddddddbeaaadddddddddddddddddddddddf dddaaacdbbbbdddddg fddddddddaaaedddddddddbbaaaeddddddddddddddddddddddf dddaaacdbbbddddddg fddddddddaaaeddddddddddbeaaaddddddddddddddddddddddf dddaaaebbbbddddddg fddddddddaaacddddddddddbbaaaedddddddddddddddddddddf ddbaaaebbbbddddddg fddddddddaaacdddddddddddbeaaadddddddddddddddddddddf ddbeaaabbbdddddddg fddddddddaaafdddddddddddbbaaaeddddddddddddddddddddf ddbeaaabbbdddddddg fddddddddaaaddddddddddddbbeaaaddddddddddddddddddddf dddcaaabbddddddddg fddddddddaaadddddddddddddbbaaaedddddddddddddddddddf dddfaaabbddddddddg fddddddddaaadddddddddddddbbeaaadddddddddddddddddddf dddfaaabbddddddddg fddddddddaaaddddddddddddddbbaaaeddddddddddddddddddf ddddaaabdddddddddg fddddddddaaaddddddddddddddbbeaaaddddddddddddddddddf ddddaaabdddddddddg fdddddddfaaadddddddddddddddbbaaaedddddddddddddddddf ddddaaaddddddddddg fdddddddcaaadddddddddddddddbbeaaadddddddddddddddddf ddddaaaddddddddddg fdddddddcaaaddddddddddddddddbbaaaeddddddddddddddddf ddddaaaddddddddddg fdddddddeaaaddddddddddddddddbbeaaaddddddddddddddddf ddddaaafdddddddddg fdddddddeaaaddddddddddddddddbbbaaaedddddddddddddddf ddddaaacdddddddddg fdddddddeaaadddddddddddddddddbbeaaadddddddddddddddf ddddaaaedddddddddg fdddddddaaaedddddddddddddddddbbbaaaeddddddddddddddf ddddaaaedddddddddg fdddceaaaaaeddddddddddddddddddbbeaaaddddddddddddddf ddddeaaedddddddddg geaaaaaaaaaacddddddddddddddddddbbbaaaedddddddddddddf ddddeaaadddddddddg gcaaaaaaaaaaaaaaeddddddddddddddddddddbbeaaadddddddddddddf ddddeaaadddddddddg eaaaaaaaaaaaaaaefdddddddddddddddddddddddbbbaaaeddddddddddddf ddddcaaadddddddddg eaaaaaaaaaaecdddddddddddddddddddddddddddddbbeaaaddddddddddddf ffffcaaafffffffffg gaaaaaaed fdddddddddddddddddddddddddddddddbbbaaaedddddddddddf gaaa aaaag fddddddddddddddddddddddddddddddddbbeaaadddddddddddf aaa caaag fddddddddddddddddddddddddddddddddbbbaaaeddddddddddf aaa gaaae fddddddddddddddddddddddddddddddddbbbeaaaddddddddddf aaa aaaa fdddddddddddddddddddddddddddddddddbbbaaaedddddddddf aaa caaad fdddddddddddddddddddddddddddddddddbbbeaaadddddddddf aaag aaaa fddddddddddddddddddddddddddddddddddbbbaaaeddddddddf aaad aaaa fddddddddddddddddddddddddddddddddddbbbeaaaddddddddf aaad daaac fdddddddddddddddddddddddddddddddddddbbbaaaedddddddf aaac aaaa fdddddddddddddddddddddddddddddddddddbbbeaaadddddddf aaae aaaa fddddddddddddddddddddddddddddddddddddbbbaaaeddddddf eaae daaac fddddddddddddddddddddddddddddddddddddbbbeaaaddddddf caaa aaaa fdddddddddddddddddddddddddddddddddddddbbbaaaedddddf caaa eaaag fdddddddddddddddddddddddddddddddddddddbbbeaaadddddf daaa gaaae fdddddddddddddddddddddddddddddddddddddbbbbaaaeddddf gaaa aaaa fddddddddddddddddddddddddddddddddddddddbbbeaaaddddf gaaa eaaag fddddddddddddddddddddddddddddddddddddddbbbbaaaedddf aaa gaaae fdddddddddddddddddddddddddddddddddddddddbbbeaaadddf aaa aaaa fdddddddddddddddddddddddddddddddddddddddbbbbaaaeddf aaa caaad fddddddddddddddddddddddddddddddddddddddddbbbeaaaddf aaag aaaa fddddddddddddddddddddddddddddddddddddddddbbbbaaaedf aaag aaaa fdddddddddddddddddddddddddddddddddddddddddbbbeaaddf aaad daaad fdddddddddddddddddddddddddddddddddddddddddbbbbddddf aaac aaaa fdddddddddddddddddddddddddddddddddddddddddbbbbddddf aaacaaaa fddddddddddddddddddddddddddddddddddddddddddbbbbdddf eaaaaaac fddddddddddddddddddddddddddddddddddddddddddbbbbdddf eaaaaaa fdddddddddddddddddddddddddddddddddddddddddddbbbdddf caaaaag fdddddddddddddddddddddddddddddddddddddddddddbbbbddf daaaae fddddddddddddddddddddddddddddddddddddddddddddbbbddf daaaa fddddddddddddddddddddddddddddddddddddddddddddbbbbdf gaaag fdddddddddddddddddddddddddddddddddddddddddddddbdddf aae fdddddddddddddddddddddddddddddddddddddddddddddddddf fdddddddddddddddddddddddddddddddddddddddddddddddddf dfffffffffffffffffffffffffffffffffffffffffffffffffd ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#068c70ff b,#f1d8b8ff c,#57ad97ff d,#b3d7cbff e,#2f9d84ff f,#83c0adff g,#f0ede1ff ``` ```image gaaaaaaf gbbbbbbb gaaaaaaf gbbbbbbg aaaaaac bbbbbbb aaaaaac gbbbbbbg eaaaaac bbbbbbbg eaaaaae gbbbbbbb caaaaae gbbbbbbg caaaaaa bbbbbbb faaaaaa gbbbbbbg faaaaaag bbbbbbb faaaaaag gbbbbbbb daaaaaad bbbbbbbg daaaaaad bbbbbbb daaaaaad gbbbbbbg gaaaaaaf bbbbbbb gaaaaaaf gbbbbbbb aaaaaaf bbbbbbbg gbaaaaaac bbbbbbb bbbeaaaaacgbbbbbbg bbbeaaaaaebbbbbbb gbbeaaaaaebbbbbbb bbcaaaaaabbbbbbg gbcaaaaaabbbbbb gbcaaaaaabbbbbg bfaaaaaabbbbb gfaaaaaadbbbb faaaaaadbbbg daaaaaafbbb daaaaaafbbg gaaaaaafbb aaaaaacbb aaaaaacbg aaaaaacb eaaaaaeg eaaaaae caaaaae caaaaaa faaaaaa faaaaaag faaaaaag daaaaaad daaaaaad daaaaaad gaaaaaaf gaaaaaaf aaaaaaf aaaaaac eaaaaac eaaaaae caaaaae caaaaaa caaaaaa faaaaaa faaaaaag daaaaaag daaaaaad ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Alright, let's concentrate on the next area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#068c70ff b,#f2d8b7ff c,#60b5a3ff d,#d4eae6ff e,#3ca187ff f,#aecab3ff g,#f8ebdbff ``` ```image caaaa eaaaad eaaaac aaaaaac aaaaaaad g daaaaaaaa b daaaaaaaa bbg daaaaaaaad bbbbg faaaaaaaaad bbbbb faaaaeaaaac bbbbbbbb caaaa aaaaa gbbbbbbbg caaaa aaaaad gbbbbbbbg eaaae daaaaad bbbbbbbbb eaaae caaaac bbbbbbbbbaaaac caaaa gbbbbbbbaaaac daaaad gbbbbbaaaaf aaaaad bbbbaaaaf caaaac gbbbaaaaf daaaaa gbaaaafbg daaaad aaaafbbb aaaac aaaabbbbbb caaaac aaaabbbbbbbdaaaaa aaaagbbbbbbbfaaaad aaaa bbbbbbbaaaac aaaa bbbbbeaaaac aaaa bbbbfaaaaa daaaa bbbfaaaad daaaa bbbaaaac daaaa bbaaaaad faaaa bfaaaaad faaaa bbeaaaac caaaa bbaaaaa caaaa bbaaaaad eaaae gbfaaaaad eaaae bbeaaaac aaaac bbaaaaa aaaac bbaaaaad daaaac bbfaaaaad daaaaf gbbeaaaac daaaaf bbfaaaaa faaaad bbfaaaad faaaad bbbaaaac caaaa gbbeaaaac caaaa bbfaaaaa eaaae gbbfaaaad eaaae bbbaaaac aaaac bbeaaaac aaaac bbfaaaaa aaaac gbbfaaaad aaaaf bbbaaaac aaaaf gbbaaaaad aaaad bbfaaaaa aaaad bbbeaaaa aaaad gbbbaaaac aaaa bbbaaaaad aaaa bbfaaaaad aaaa bbbeaaaac aaaa gbbbaaaaa dceaaaa gbbbaaaaad fcaaaaaaaaaaa gbbfaaaaad feaaaaaaaaaaaaaa bbbeaaaac aaaaaaaaaaaaaaaa bbbfaaaaa aaaaaaaaaaaacf gbbbaaaaad aaaaaaaaecd bbbeaaaac aacfd bbbeaaaac f bbbfaaaaa bbbbfaaaad gbbbbaaaac gbbbeaaaac bbbfaaaaa bbbbfaaaad gbbbbaaaac gbbbbaaaaad gbbbfaaaaa bbbbeaaaa bbbbaaaac bbbbaaaaad gbbbfaaaaa bbbbeaaaa gbbbbaaaac bbbbaaaaad bbbbfaaaaa gbbbbeaaaa bbbbfaaaad bbbbaaaaad bbbbeaaaac bbbbbeaaaac gbbbbfaaaaa gbbbbaaaaad bbbbeaaaac bbbbbeaaaac gbbbbfaaaaa gbbbbaaaaad gbbbbeaaaac bbbbfaaaae bbbbbfaf gbbbbbf gbbbbg bbbbb bbbbb bbbbbg bbbbbg gbbbbb bbbbb bbbbb gbbbbg gbbg gb ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 1; B: 1; 1 + 1 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#068c70ff b,#f2d8b8ff c,#5eb4a2ff d,#c0e1daff e,#3ca087ff f,#91cabdff g,#f2ede1ff ``` ```image f aaa aaac aaaa ggbbb aaaac ggbbbbbbbbbbbb gaaaaa bbbbbbbbbbbbbbbbbbbb daaaaac bbbbbbbbbbbbbbbbbbbbb daaaaaa bbbbbbbbgg bbbbbb faaaaaac bbbg bbbbbb caaacaaa gbbb bbbbbb caaa aaac ddf bbbb bbbbbb eaae caaa aaag bbb bbbbbbaaac aaac aaad bbbb bbbbbaaaf caaa aaaf bbbg bbbaaaf aaac aaaf gbbb bbaaaf caaa aaac bbbb aaabbb aaac eaae bbb aaabbbb caaa caaa bbbb aaabbbbbbaaac caaa bbbg aaa bbbbbeaaa faaa gbbb aaa bbbbaaac daaa bbbg aaa bbbeaaa gaaa gbbb daaa bbaaac aaa bbbb daaa beaaa aaa bbbg faaa bbaaac aaa gbbb caaa beaaa aaa bbbg caaa bbaaac aaad gbbb eaae beaaa aaad bbbb aaac bbaaac aaaf bbb aaac gbeaaa aaacbbbb aaaf bbaaac baaacbbbg aaad gbeaaa beaaebbb aaad bbaaac gcaaabbb aaag gbeaaa caaabb aaa bbaaac faaabb aaa bbeaaa daaabg aaa bbaaac aaab aaa bbeaaa aaab gaaa bbaaac aaa daaa bbeaaa aaa faaa gbbaaac aaag faaa bbeaaa aaad caaa gbbaaac aaaf eaae bbeaaa aaaf eaae bbbaaac aaac dcaaaaac bbeaaa eaae dcaaaaaaaaaaf bbbaaac caaa gfaaaaaaaaaaaaaae bbeaaa caaa eaaaaaaaaaaaaaacd bbbaaac faaa eaaaaaaaaaacd bbeaaa daaa gaaaaaaef bbbaaac gaaa aaaa gbbeaaa aaa caaad bbbaaac aaa aaae gbbeaaa aaa aaaa bbbaaac aaa faaad bbbeaaa aaad aaaa bbbaaac aaad aaaa bbbeaaa aaaf faaaf bbbaaac aaac aaaa bbbeaaa eaac aaaa gbbbaaac eaae daaac bbbeaaa caaa aaaa gbbbaaac faaa eaaag bbbeaaa daaa gaaae gbbbaaac daaa aaaa bbbeaaa aaa caaad bbbbaaac aaa gaaae bbbeaaa aaa aaaa bbbbaaac aaa caaad bbbeaaa aaag aaaa bbbbaaac aaad aaaa gbbbeae aaaf faaaf bbbb aaaf aaaa gbbb aaacaaaa bbbg eaaaaaac bbbb caaaaaa bbbg caaaaa bbbb faaaac bbb daaaa bbbg gaaag gg aac ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#bed7dcff b,#f18f43ff c,#dcb27aff d,#b1d7b1ff e,#ecf1edff f,#96c996ff g,#9ec4c8ff ``` ```image e g g g g ga g age g ega g ag g ega g gg g ega g gg g ege g gg g age g gg g age g ga g age g ega g ag g ega g gg g ega g gg g eg g ge g aa g eg g g eg g eg g eg ae eg ea eg g eg g ea g ea ge ea aa ea eg ea g ea g aa g aa ae aa ea aa eeeeeeegeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeee fdddddddgddddddddddddddddddddddddddddddddddddddddddggdddd fdddddddgddddddddddddddddddddddddddddddddddddddddddggdddd fdddddddgddddddddddddddddddddddddddddddddddddddddddgddddd fdddddddggdddddddddddddddddddddddddddddddddddddddddgddddd fddddddddgdddddddddddddddddddddddddddddddddddddddddgddddd fddddddddgdddddddddddddddddddddddddddddddddddddddddgddddd fddddddddgdddddddddddddddddddddddddddddddddddddddddgddddd fddddddddgdddddddddddddddddddddddddddddddddddddddddgddddd fddddddddgdddddddddddddddddddddddddddddddddddddddddgddddd fdddddddddgddddddddddddddddddddddddddddddddddddddddgddddd fdddddddddgddddddddddddddddddddddddddddddddddddddddgddddd fdddddddddgddddddddddddddddddddddddddddddddddddddcbbbdddd fdddddddddgdddddddddddddddddddddddddddddddddcbbbbcggddddd fdddddddddgddddddddddddddddddddddddddddcbbbbcdddggddddddd fdddddddddggddddddddddddddddddddddcbbbbcddddddggddddddddd fddddddddddgdddddddddddddddddcbbbbccddddddddggddddddddddd fddddddddddgddddddddddddcbbbbccdddddddddddggddddddddddddd fddddddddddgdddddddccbbbbcddddddddddddddgggdddddddddddddd fddddddddddgdddcbbbbcdddddddddddddddddgggdddddddddddddddd fdddddddddcbbbbcdddddddddddddddddddddggdddddddddddddddddd fddddcbbbbcdgddddddddddddddddddddddggdddddddddddddddddddd ecbbbbcddddddgddddddddddddddddddddggdddddddddddddddddddddd cbbbbcdddddddddddgddddddddddddddddddgggddddddddddddddddddddddd ecbbbce fdddddddddddgddddddddddddddddgggddddddddddddddddddddddddd ebbbbe fdddddddddddgdddddddddddddddggddddddddddddddddddddddddddd cbbbce fdddddddddddggddddddddddddggddddddddddddddddddddddddddddd cbbbce fddddddddddddgddddddddddggddddddddddddddddddddddddddddddd ecbbbce fddddddddddddgddddddddggddddddddddddddddddddddddddddddddd bce fddddddddddddgddddddgggdddddddddddddddddddddddddddddddddd fddddddddddddgdddddggdddddddddddddddddddddddddddddddddddd fddddddddddddgdddggdddddddddddddddddddddddddddddddddddddd dfffffffffffffgggffffffffffffffffffffffffffffffffffffffff ge ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bdd6dcff b,#f28e41ff c,#f5bf95ff d,#deeaedff e,#fbdfcaff f,#f4a76bff g,#9ec3cbff ``` ```image gg aa ggd aa agd aa dga ad gg ad ggd ad agd ad aga ad dga ad dgg ad gg ad agd ad dga ad dgg ad gg ad ggd ad agd ad aga ad dga gd dgg gd agd ecfc aga eecfbbbbf dga eecbbbbbbbfe dgg eecfbbbbbbfcggga gg ecfbbbbbbfceaggga gg ecfbbbbbbfcee gggad ag ecfbbbbbbfce dgggd ag cffbbbbbfcce daggd g ecfbbbbbbfce aggga g eecfbbbbbbfce gggad ad eefbbbbbbbce dgggd aa ecfbbbbbbfcee daggd da ecbbbbbbbfee agggd dg ecfbbbbbbfcee aggga g eccbbbbbbfce gggad gccfbbbbbffce dggad eecfbbbbbbfc daggd eecfbbbbbbfcega aggga cfbbbbbbfcee gg ggga cfbbbbbbfcee gg dggad bbbbcee agd daggd cce aga dagggd dga aggga dgg ggga gg dggad agd dagggd aga aggga dga ggga gg dggad ggd dgggd agd dagggd aga aggga dga ggga gg dgggd ggd dagggd agd aggga aga ggga ``` <!-- end of image --> I am surprised, so clear, 2 intersections has appeared in area A. Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#b6d2d8ff b,#f39044ff c,#f5b787ff d,#d0e1e5ff e,#fad9c0ff f,#ecf0f0ff g,#9ec3cbff ``` ```image f g g g g ga g agf g fga g ag g fga g gg g fgd g gg g dgd g gg g dgf g gg g agf g ga g agf g fga g ag g fga g gg g fgd g gg g dg g gf g dd g fg g g fg g fg g fg ad fg da fg g fa g fa g fa gf da dd da fg da g da g da g da ad dd da dd g dd g dd g ad gf ad dd ad fg ad g ad g ad g af ad af da af g af g ecbbb g fcbbbbcgd gf fcbbbbcf dga da ebbbbce fgg fg ebbbbce ggf g ecbbbce ggf g ecbbbce agd g ecbbbbe dga fcbbbbc fgg fcbbbbcda gg fcbbbbcf g ggf ebbbbce g agd ebbbbce g dga ebbbbe gf fgg ebbbce da fgg cbbbce fg ggf fcbbbcf g agd bcf g dga g fga ad fgg faggf gd ``` <!-- end of image -->
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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,#4acbe0ff b,#957c66ff c,#cce8ecff d,#ada08dff e,#b1d7b1ff f,#81d7ddff g,#96c996ff ``` ```image c aaa faa caac aaaf aaf aaaaaac aaa aaaaaaaaf aaa aafcaaaaaaaf faa aaf faaaaaaac caac aac aaaaaaaf aaf caac caaaaaaac aaa caac faaaaaaac aaa caa caaaaaaaf faa caa caaaaaaac caac faa faaaaaaa aaa faa caaaaaaaf aaa faa faaaaaaac aaa aaa faaaaaaf faa aaa caaaaaaaf aaf aaa faaaaaaac aaa aaa aaaaaaaf aaa aaa caaaaaaac aaa aaa faaaaaaac caac aaa caaaaaaac aaf aaa caaaaa aaa aaa faaa aaa aaf aaaa faa aaf aaac caac aaf aaa aaf aaf caaa aaa aac faa aaa caac a faa caac caac caac egggaaaggggggggggggfaagggggggggg geeeaaaeeeeeeeeeeeefaaeeeeeeeeee geeeaaaeeeeeeeeeeeefaaeeeeeeeeee bb geeefaaeeeeeeeeeeeeaaaeeeeeeeeee dbbb geeeeaafeeeeeeeeeeeaaaeeeeeeeeee ebbbbd geeeeaaaeeeeeeeeeeeaaaeeeeeeeeee bbbbbb geeeeaaaeeeeeeeeeeeaaaeeeeeeeeee bbbecbbb geeeeaaaeeeeeeeeeeeaaaeeeeeeeeee bbbb dbbd geeeefaafeeeeeeeeeeaaaeeeeeeeeee dbbb bbb geeeeeaaaeeeeeeeeeeaaaeeeeeeeeee cbbb cbbb geeeeefaaaeeeeeeeeeaaaeeeeeeeeee cebbbbbc dbbd geeeeeeaaafeeeeeeeeaaaeeeeeeeeegedbbbbbbbbbd bbb geeeeeeeaaaeeeeeeeeaaaeeeedbbbbbbbbbbbbbbbd cbbb geeeeeeefaaaeeeeeeeaaabbbbbbbbbbbbbbde bbbd geeeeeeeeaaaeegdbbbaaabbbbbbbbbdc bbb geeeeeeegdaaabbbbbbaaabbbdgeeeee cbbb geedbbbbbbaaaabbbbbaafeeeeeeeeee bbbd edbbbbbbbbbbbbaaageeeeaafeeeeeeeeee bbb bbbbbbbbbbbdeefaaaeeeeaafeeeeeeeeee cbbb dbbbbdeeeeeeeeeaaafeeeaaeeeeeeeeeee bbbd geeeeeeeeeeeeaaaeefaaeeeeeeeeeee bbb geeeeeeeeeeeefaaaefaaeeeeeeeeeee cbbb geeeeeeeeeeeeeaaaefaaeeeeeeeeeee bbbd geeeeeeeeeeeeeeaaafaaeeeeeeeeeee bbb geeeeeeeeeeeeeeaaaaaaeeeeeeeeeee cbbb geeeeeeeeeeeeeeeaaaaaeeeeeeeeeee bbbd geeeeeeeeeeeeeeefaaaaeeeeeeeeeee bbb geeeeeeeeeeeeeeeeaaaaeeeeeeeeeee cbbb geeeeeeeeeeeeeeeeeaaaeeeeeeeeeee bbbd geeeeeeeeeeeeeeeeefaaeeeeeeeeeee bbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cbbb eggggggggggggggggggggggggggggggg bbbd bbb cbbb bbbd bbb cbbb bbbd bbb cbbb bbbd bbb cbbb bbbd bbb cbbb bbbd bbb cbd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4acae0ff b,#957b65ff c,#a8e5f0ff d,#a99c8dff e,#ddeff1ff f,#79d8e8ff g,#ccc1b8ff ``` ```image eaaaaac caaaaae aaaaaf caaaaa faaaaa caaaaa caaaaae caaaaa eaaaaac caaaaa aaaaac faaaaa aaaaaf faaaaf faaaaa faaaaf caaaaae faaaaf eaaaaac faaaaf aaaaac aaaaaf faaaaf aaaaaf faaaaa aaaaac caaaaae aaaaac eaaaaac aaaaac aaaaaf eaaaaac faaaaa eaaaaac caaaaaf eaaaaae eaaaaaae eaaaaae faaaaaf eaaaaae aaaaaac caaaaae caaaaaae caaaaae faaaaaf caaaaa eaaaaaac caaaaa e caaaaaa caaaaa eggdbb faaaaaf caaaaa eggdbbbbbbbb eaaaaaae faaaaa eggdbbbbbbbbbbbbbb faaaaaa faaaaadbbbbbbbbbbbbbbbbbbb aaaaaac eggdaaaaaabbbbbbbbbbbbbbbbbbbb caaaaaae eegddbbbbbaaaaaabbbbbbbbbbbbbbbbbddg faaaaaadbbbbbbbbbbbaaaaaabbbbbbbbbbbddgge eggaaaaaadbbbbbbbbbbbaaaaaabbbbbbdgge eggdbbbbbdaaaaaabbbbbbbbbbbaaaaaadgge eggddbbbbbbbbbbbaaaaaaabbbbbbbbbbaaaaac gddbbbbbbbbbbbbbbbbbbaaaaaadbbbddgge aaaaac bbbbbbbbbbbbbbbbbbbbbaaaaaaage aaaaac bbbbbbbbbbbbbbbbbbbbdgaaaaaac aaaaac bbbbbbbbbbbbbbdgge caaaaaae eaaaaac bbbbbbbbdgge faaaaaf eaaaaac bbddgee eaaaaaac eaaaaae e caaaaaae eaaaaae faaaaaf caaaaae eaaaaaae caaaaae caaaaaa caaaaae aaaaaac caaaaa eaaaaaae caaaaa faaaaaf caaaaa eaaaaaacfaaaaa caaaaaafaaaaa faaaaaaaaaaf eaaaaaaaaaaf caaaaaaaaaf aaaaaaaaaf eaaaaaaaaf faaaaaaac eaaaaaaac caaaaaac faaaaac eaaaaae caaaf ecc ``` <!-- end of image --> Case closed! This is definitely 2 intersections point in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#4acbe0ff b,#957c66ff c,#b7eaf2ff d,#b29f90ff e,#e8f3f4ff f,#81dae9ff g,#dcd4cdff ``` ```image c aaa faa caac aaaf aaf aaaaaac aaa aaaaaaaafe aaa aafcaaaaaaac faa aac faaaaaaac caac eaac eaaaaaaaf aaf eaac caaaaaaac aaa caae faaaaaaae aaa caae eaaaaaaaf faa caa caaaaaaac eaac faa faaaaaaae aaa faa eaaaaaaaf aaa faa caaaaaaac aaa aaa faaaaaafe faae aaa caaaaaaaf eaac aaa faaaaaaac aaa aaa eaaaaaaaf aaa aaa caaaaaaac aaa aaa faaaaaaae caae aaa eaaaaaaae eaaf aaa caaaaa aaa aaa faaa aaa aaf aaaa faa aaf aaac caae aaf eaaae aaf aaf caaa aaa eaac faa aaa eaac a faa caac caac caae aaf caae aaa faa aaa faa bbe faa faa dbbb caac faa gbbbbd aaf aaa ebbbbbbe aaa aaa bbbggbbb aaa aaa bbbb dbbd faaf aaa dbbb bbbe aaa aaa gbbb gbbb caaa aaa edbbbbbg bbbd aaac aaa egdbbbbbbbbbd bbbe aaa aaa gdbbbbbbbbbbbbbbd gbbb faaa aaabbbbbbbbbbbbbbdge bbbd aaae gdbbbaaabbbbbbbbdge bbbe gdaaabbbbbbaaabbbdg gbbb egdbbbbbaaaabbbbbaaf bbbd gdbbbbbbbbbbbbaaag aac bbbe bbbbbbbbbbdg caaa eaac gbbb dbbbdge aaac eaac bbbd aaa caae bbbe faaa caae gbbb aaaecaa bbbd eaaafaa bbbe faaaaa gbbb aaaaa bbbd caaaa bbbe aaaa gbbb aaa bbbd caf bbbe gbbb bbbd bbbe gbbb bbbd bbbe gbbb bbbd bbbe gbbb bbbd bbbe gbbb bbbd bbbe gbbb bbbd bbbe gbd e ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#39347dff b,#c69437ff c,#71779bff d,#cdb675ff e,#97c49aff f,#e2dbd4ff g,#b1d7b1ff ``` ```image f fac aaa aaa aaa caaf faac aaa aaa aaa caaf faac aaa aaa aaa eaag faac aaa aaa caa eaag faac aaa aaa caaf gaae aac aaa aaa caaf gaae aaa d aaa dbb aaa bbbd caaf bbbd faac bbbf aaa fbbb aaa fbbb aaa dbbb caaf bbbb faac bbbd aaa bbbf aaa fbbbf aaa fbbb caaf dbbb faac dbbb aaa bbbd eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg aaa bbbf ggggggggggggggggggggggggggggggggggggggge aaa bbbf ggggggggggggggggggggggggggggggggggggggge caaf bbb ggggggggggggggggggggggggggggggggggggggge faac dbbf ggggggggggggggggggggggggggggggggggggggge aaa fbbd ggggggggggggggggggggggggggggggggggggggge aaa bbb ggcaaggggggggggggggggggggggggggggggggggeaaa bbb ggeaaegggggggggggggggggggggggggggggggggcaag bbb gggaaaggggggggggggggggggggggggggggggggeaac dbbf ggggaaagggggggggggggggggggggggggggggggaaa fbbd ggggeaaegggggggggggggggggggggggggggggaaa bbb gggggaaaggggggggggggggggggggggggggggaaae bbb ggggggaaaggggggggggggggggggggggggggcaace bbb gggbbdeaaeggggggggggggggggggggggggeaaage dbbf ggbbbbbaaaggggggggggggggggggggggggaaagge fbbd ggggdbbbaaaggggggggggggggggggggggaaaggge bbb gggggggbbaabbdggggggggggggggggggaaaeggge bbb gggggggggaaabbbbdggggggggggggggcaacgggge bbb ggggggggggaacbbbbbbggggggggggggaaaggggge dbbf ggggggggggcaaggbbbbbbdggggggggaaagggggge fbbd gggggggggggaaagggebbbbbbdggggaaaggggggge bbb ggggggggggggaacgggggdbbbbbggcaaeggggggge bbb ggggggggggggcaaggggggggdbbbcaacgggggggge bbb gggggggggggggaaagggggggggbbaaaggggggggge dbbf ggggggggggggggaacgggggggggaaadggggggggge fbbd ggggggggggggggcaaggggggggaaabbbgggggggge bbb gggggggggggggggaaaggggggcaaedbbbggggggge bbb ggggggggggggggggaacggggeaacggebbbgggggge bbb ggggggggggggggggcaaggggaaagggggbbbdgggge dbbf gggggggggggggggggaaaggaaagggggggbbbbgggefbbd gggggggggggggggggeaacaaagggggggggdbbbggebbb ggggggggggggggggggcaaaaeggggggggggdbbbgbbb gggggggggggggggggggaaacgggggggggggggbbbbb gggggggggggggggggggeaagggggggggggggggbbbf ggggggggggggggggggggggggggggggggggggggdd ggggggggggggggggggggggggggggggggggggggge ggggggggggggggggggggggggggggggggggggggge ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#37327cff b,#c69438ff c,#8783afff d,#dcbd83ff e,#59538bff f,#b5b3ceff g,#e6e0dbff ``` ```image f feaf caaae eaaaac gaaaaaf caaaae eaaaac g gaaaaag e caaaae ca eaaaac faa faaaaag faaa caaaae gaaaa eaaaac eaaaa faaaaag caaaaa g caaaae faaaaaf dbdg aaaaaf faaaaac gbbbbbdgfaaaaag gaaaaae dbbbbbbbdeaaaae eaaaaeg bbbbbbbbbbaaaaaf caaaaag gdbbbbbbbbbaaaaag faaaaaf gdbbbbbbeaaaaed gaaaaac gdbbbbaaaaabbdg geaaaae dbbbaaaaabbbbdg eaaaaeg gdeaaaaebbbbbbdg caaaaag gaaaaabbbbbbbbdg faaaaaf faaaaabbbbbbbbbbdg gaaaaac eaaaaebbbbbbbbbbbbdg geaaaae gaaaaafgdbbbbbbbbbbbbd eaaaaag faaaaa gdbbbbbbbbbbbdg caaaaaf eaaaac gdbbbbbbbbbbbbdg faaaaaf gaaaaaf gdbbbbbbbbbbbbd gaaaaac caaaae gdbbbbbbbbbbbg geaaaae eaaaac dbbbbbbbbbbg eaaaaag gaaaaaf gdbbbbbbbbd caaaaaf caaaae gdbbbbbbdfaaaaac eaaaac gbbbbbbaaaaac gaaaaag gbbbbaaaaae caaaae dbeaaaaag eaaaac caaaaabd faaaaag faaaaaebbd caaaae gaaaaaebbbbbg eaaaac eaaaaebbbbbbbg faaaaag caaaaag dbbbbbbd caaaae caaaaaf dbbbbbbd eaaaac faaaaac gbbbbbbbg faaaaag gaaaaae gbbbbbbbg caaaae eaaaae dbbbbbbd gaaaaaf caaaaag dbbbbbbd faaaaag faaaaaf gbbbbbbbg caaaae faaaaac gbbbbbbbg gaaaaafgaaaaae dbbbbbbd faaaaaeaaaaeg dbbbbbbd eaaaaaaaaag gbbbbbbbg gaaaaaaaaf gbbbbbbb faaaaaac dbbbbb eaaaae dbbbb gaaaeg gbbb gccg gbb d ``` <!-- end of image --> Yes! I knew it! There's 2 intersections right here in area A! Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#38337cff b,#c79537ff c,#918eb6ff d,#dcbd82ff e,#5f5a94ff f,#c3c2d7ff g,#ece4d9ff ``` ```image f fae aaa aaa aaa caaf faac aaa aaa eaa caaf gaae aaa aaa eaa caaf gaae aaa aaa eaag caaf gaae aaa aaa eaag faac gaae aaa aaa eaag faac aae d aaa dbb aaa bbbd eaag bbbd faac bbbg aae gbbbg aaa dbbb aaa dbbb caaf bbbb faac bbbd aaa bbbg aaa gbbbg aaa gbbb caaf dbbb faac bbbb aaa bbbd aaa bbbd eaa bbbg caaf bbb gaae dbbg aaa gbbd aaa bbb cae eaa bbb faaf caaf bbb eaa gaae dbbg aae aaa gbbd faaf aaa bbb aaa eaag bbb aae caaf bbb gbbdfaag gaae dbbg bbbbbaaa aaa gbbd dbbbaae aaa bbb gbbaabbd eaag bbb aaabbbbg faac bbb aaebbbbbbg gaae dbbg caa dbbbbbd aaa gbbd aaa gbbbbbbd aaa bbb aac dbbbbb eaag bbb caa dbbbfaac bbb aaa gbbaae dbbg aac aaad gbbd caa aaabbb bbb aaa eaagdbbb bbb aac faac gbbbg bbb caa aae bbbd dbbg aaa aaa bbbb gbbd gaacaaa dbbb bbb eaaaaf gbbbgbbb aaac bbbbb gaa bbbg dg ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#580985ff b,#ae81aaff c,#dcbdd6ff d,#c5375bff e,#7d439eff f,#b1d7b1ff g,#98c599ff ``` ```image aaaaec caaaaaaaaaec caaaaaaaaaaaaaaec baa cbaaaaaaaaaaaaec baa cbaaaaaaaaaaac eaa baaaaaaaaac aaa baaaaaaaab aaa caaaaaaaab aaa caaaaaaaab aaa ceaaaaaaa aaa ceaaaab eee aae aaa aaa aae caaa aaa aab eaae aaa aab aaac aaa aac aaa aaa caac baaa aaa caa aaab aaa baa aaa aaa baa caaa aaa eaa eaae aaa eaa aaac aaa aaa aaa aaa aaa baaa aaa aaa aaae aaa aaa aaac aaa aaa caaa aaa aae baaa aaa aae aaab aaa aab aaa aaa aac caaa aae caac eaae aae caa aaac aae baa aaa aae baa baaa aae eaa aaab aae eaa aaa aae aaa caaa aae eaae aae aaac aab aaa aab caaa aab eaae aab aaac aab aaagggggggggggggaaeggg baaaffffffffffffaabfff dddc aaaefffffffffffaabfff cdddddd gaaafffffffffffaabfff dddddddddd gbaaaffffffffffaabfff cddddb dddddb gfeaaefffffffffaabfff ddddd dddddc gffaaabffffffffaabfff ddddb cdddddc gfffaaafffffffgaabfff ddddd cddddd gfffbaaaffffffgaagfff ddddb bdddddgffffaaaefffffgaagfff bdddd ddddddffffaaagffffgaagfff ddddb dddddbffgaaaffffgaagfff bdddd cdddddgfeaaafffbaagfff ddddd gbdddddfaaabffbaaffff bddddc gffddddddaaaffbaaffff ddddd gffffddddddaafbaaffff bddddc gffffffdddddaebaaffff ddddd gfffffffgdddddeaaffff bddddc gfffffffffbdddddaffff ddddd gfffffffffffddddddfff cddddc gffffffffffffaddddfff ddddd gfffffffffffffaadbfff cddddc gfffffffffffffgaaffff ddddd gffffffffffffffffffff cddddc gffffffffffffffffffff ddddd gffffffffffffffffffff cddddc gffffffffffffffffffff ddddd gffffffffffffffffffff cddddc gffffffffffffffffffff ddddd gffffffffffffffffffff cddddb gffffffffffffffffffff ddddd gffffffffffffffffffff cddddb gffffffffffffffffffff ddddd gffffffffffffffffffff ddddb gffffffffffffffffffff dddd fgggggggggggggggggggg db ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#590985ff b,#dd8a9fff c,#d7bddaff d,#c3355bff e,#85459fff f,#ede2eeff g,#b591c8ff ``` ```image aaae aaaaag aaaac aaaaag aaaaaf aaaaag aaaaae aaaaag aaaaaag aaaaag gaaaaaac aaaaag eaaaaaaf aaaaag faaaaaae aaaaag caaaaaag aaaaag gaaaaaaf aaaaac eaaaaae faaaaac faaaaaag faaaaac gaaaaaac faaaaac eaaaaaaf faaaaac eaaaaae faaaaac caaaaaag faaaaac gaaaaaac faaaaac eaaaaae faaaaac faaaaaae faaaaac dc caaaaaag caaaaac ddbf gaaaaaaf caaaaaf ddddbf eaaaaae caaaaaf ddddddb faaaaaag caaaaaf ddddddddc gaaaaaac caaaaaf ddddddddddc eaaaaaaf caaaaaf cddddddddddbf faaaaaae caaaaaf bddddddddddbfcaaaaaag caaaaaf fbddddddddddbgaaaaaaf caaaaaf fbddddddddddeaaaaae caaaaaf cdddddddddddaaaaag caaaaa cdddddddddddaaaac gaaaaa bdddddddddddaaaf gaaaaa fbddddddddddaae gaaaaa fbddddddddddaggaaaaa cdddddddddddeaaaaa cdddddddddddaaaa bdddddddddddaa fbdddddddddde fdddddddddddc eddddddddddf faadddddddb gaaadddddf eaaadddb faaaaad caaaag ceeg ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 My analysis indicates that there are two intersections in this image.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#580885ff b,#d6708aff c,#cfa9cbff d,#c5355aff e,#7e40a0ff f,#e7d3e4ff g,#a479bcff ``` ```image aaaaec faaaaaaaaaec caaaaaaaaaaaaaaec gaa fgaaaaaaaaaaaaef gaa fgaaaaaaaaaaac eaa fgaaaaaaaaac eaa gaaaaaaaag aaa caaaaaaaag aaa caaaaaaaag aaa feaaaaaaa aaa feaaaag eee aae aaa aaa aae caaa aaa aag eaae aaa aag aaaf aaa aac aaa aaa faaf gaaa aaa caa aaag aaa gaa aaaf aaa gaa faaa aaa eaa eaae aaa eaa aaac aaa aaa aaa aaa aaa caaa aaa aaa aaae aaa aaa aaaf aaa aaa faaa aaa aae gaaa aaa aag aaag aaa aag aaa aaa aac caaa aae faaf eaae aae caaf aaac aae caa aaa aae gaa gaaa aae eaa aaag aae eaa aaaf aae aaa faaa aae eaae aag aaac aag aaa aag caaa aag eaae aag aaaf aag faaa aag gaaa aag dddf aaag aac fdddddd aaa aac bddddddddd caaa aac fddddb dddddb eaae aac bdddd dddddc aaac faac fddddb fdddddf aaa faac bdddd cddddd gaaa faaf fddddb bddddd aaag faaf bddddf dddddb aaaf faaf ddddb dddddc faaa faaf bddddf fdddddf eaaa caaf ddddb cddddd aaac caaf bddddf bdddddaaa caa ddddb ddddddaa caa bddddf dddddaecaa ddddd fdddddeaa cddddf cddddda ddddd dddddd cddddf adddd ddddd aadc cddddc faa ddddd cddddc ddddd fddddc ddddd fddddc ddddd fddddb bdddd fddddb bdddd fddddb dddd db ``` <!-- end of image -->
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Hmm, I'm not sure what to expect from this image. Let's see if any lines cross. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#2135b6ff b,#a482ddff c,#ded5f3ff d,#606fc6ff e,#bcabe5ff f,#b1d7b1ff g,#94c69aff ``` ```image ffffffffffffffffffffffffg ffffffffffffffffffffffffg ed ffffffffffffffffffffffffg aaaad ffffffffffffffffffffffffg aaaaaaadc ffffffffffffffffffffffffg cdaaaaaaaaagfffffffffbbfffffffffffg cdaaaaaaaaagffffffbbbffffffffffg daaaaaaaaagffbbbbffffffffffg cdaaaaaaaaabbbbffffffffffg fffdaaaaaabbbbffffffffffg ffffffdaadbbbbaadfffffffg fffffffffbbbbbdaaaadffffg fffffffffbbbbbbaaaaaaadfg fffffffffbbbbbbgaaaaaaaaad ffffffffebbbbbbfffgaaaaaaaaadc ffffffffbbbfbbbffffffgaaaaaaaaadc ffffffffbbbfbbbfffffffffgdaaaaaaaaac ffffffffbbbfbbbfffffffffg daaaaaaaaae fffffffbbbefebbeffffffffg daaaaaaaaae fffffffbbbfffbbbffffffffg baaaaaaaaae fffffffbbbfffbbbffffffffg baaaaaaaaab fffffffbbbfffbbbffffffffg eaaaaaaaaab ffffffbbbefffbbbffffffffg eaaaaaaaaad ggggggbbbggggbbbggggggggf eaaaaaaaaad bbb ebbc caaaaaaaaa cbbb cbbe cdaaaaaa bbbc bbb cdaaab bbb bbb daaa bbb bbb aaaa ebbe bbb bc aaad bbb bbbc bbbb eaaac bbb ebbe bbbbbc daaa cbbb cbbb ebbbbbbe aaaa ebbe bbb bbbcbbbbb aaad bbb bbb cbbb bbbbbc baaac bbb bbb bbbc cbbbbb aaaa cbbb bbb bbb bbbbbc aaaa bbbc ebbc cbbb ebbbbe caaae bbb cbbe bbbc bbbbb daaa bbb bbb bbb bbbbbc aaaa ebbe bbb ebbe cbbbbb aaad bbbc bbb bbb bbbbbc eaaac bbb bbb cbbb ebbbbe aaaa cbbb bbbc bbbe bbbbb aaad ebbe ebbe bbb ebbbbe cac bbb cbbb cbbb cbbbbb bbb bbb bbbc bbbbbc cbbb bbb bbb ebbbbe bbbc bbb ebbb bbbbb bbb bbb bbbc ebbbbe bbb ebbebbb cbbbbb ebbe cbbbbbe bbbbbc bbbc bbbbb cbbbbb bbb bbbbb bbbbb bbb bbbbc ebbbbe ebbe bbbb cbbbbb bbb bbbb bbbbbc bbb cbbc cbbbbb cbbb cc bbbbb bbbc ebbbbe bbb bbb bbb bc cbbb bbbc bbb bbb ebbe bbb bbb cbbb ebbe bbb bbb cbbb bbbc bbb bbb ebbe bbbc bbb cbbb ebbe bbb bbb ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2034b6ff b,#a381deff c,#cac0ecff d,#4352c1ff e,#b29ce3ff f,#e3def5ff g,#7d82d3ff ``` ```image ef ff aadbf fbbbe aaaaadgf ebbbbc aaaaaaaadgc fbbbbbb aaaaaaaaaaadgc cbbbbbb aaaaaaaaaaaaaaagc ebbbbbbf aaaaaaaaaaaaaaaaaagc bbbbbbbc cgaaaaaaaaaaaaaaaaaagbbbbbbbc cgdaaaaaaaaaaaaaagbbbbbbbe cgdaaaaaaaaaaagbbbbbbbb fgdaaaaaaaabbbbbbbbbdef fbdaaaadbbbbbbbbbdaadbf fedagbbbbbbbbbdaaaaadgf fbbbbbbbbbbdaaaaaaaadgc fbbbbbbbbbbgaaaaaaaaaaadgc cbbbbbbbbbbgaaaaaaaaaaaaaadgc ebbbbbbbbbbbaaaaaaaaaaaaaaaaaag bbbbbbbbbbbbfcgaaaaaaaaaaaaaaaa fbbbbbbbbbbbbf cgdaaaaaaaaaaaa cbbbbbeebbbbbc cgdaaaaaaaaa ebbbbbccbbbbbc fgdaaaaaa bbbbbbfcbbbbbe fbdaaa fbbbbbb fbbbbbe fed cbbbbbe fbbbbbb bbbbbbc bbbbbbf fbbbbbbf ebbbbbf cbbbbbe ebbbbbc ebbbbbc cbbbbbc bbbbbbf fbbbbbe fbbbbbb fbbbbbb cbbbbbe bbbbbb ebbbbbc bbbbbbf bbbbbbf ebbbbbc fbbbbbb cbbbbbc cbbbbbe cbbbbbe ebbbbbc fbbbbbe fbbbbbbf fbbbbbb ``` <!-- end of image --> The close-up clearly shows 2 intersections point in area A. Answer: A: 2; 2 = 2 I've identified a total of two intersection points.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#2034b6ff b,#a481deff c,#cfc3edff d,#4b5ac3ff e,#b8a2e5ff f,#e8e3f6ff g,#747ed1ff ``` ```image cg aaaagf aaaaaaadf fdaaaaaaaadf bbf fdaaaaaaaadc fbbb fgaaaaaaaaac ebbb gaaaaaaaaabbbb gaaaaaabbbb baadbbbbaab bbbbbdaaaag bbbbbgaaaaaaag bbbbbbcaaaaaaaaagf cbbebbb cdaaaaaaaadf bbbfbbb fdaaaaaaaadf bbb bbb fdaaaaaaaadc fbbb ebbf fgaaaaaaaaac ebbe cbbe gaaaaaaaaae bbb fbbb gaaaaaaaaae bbb bbb baaaaaaaaab fbbb bbb eaaaaaaaaag bbbc bbb eaaaaaaaaag bbb bbbf caaaaaaaaag bbb ebbc cdaaaaaaaa cbbe cbbe fdaaaaaa bbbf bbb fdaaab bbb bbb gaaa fbbb bbb aaaa ebbe bbb bc aaad bbbf bbbf bbbb caaac bbb cbbe bbbbbf daaa fbbb fbbb ebbbbbbe aaaa ebbc bbb bbbfbbbbb faaag bbb bbb fbbb bbbbbc baaaf bbb bbb bbbc cbbbbb aaaa cbbb bbbf bbb bbbbbf aaad bbbf ebbc cbbb ebbbbe caaae bbb cbbe bbbf fbbbbb daaa bbb bbb bbb ebbbbc aaaa cbbe bbb ebbe fbbbbb aaag bbbf bbb bbb bbbbbf eaaac bbb bbb fbbb cbbbbe daaa fbbb bbbf bbbc bbbbb aaag ebbc cbbc bbb ebbbbc fac bbb fbbb cbbb fbbbbb bbb bbb bbbc bbbbbf cbbb bbb bbb cbbbbe bbbc bbb cbbb bbbbb bbb bbbfbbbf ebbbbc bbb ebbcbbb fbbbbb cbbe cbbbbbe bbbbbf bbbf fbbbbb cbbbbe bbb bbbbb bbbbbf fbbb bbbbc ebbbbe ebbe bbbb fbbbbb bbb bbbb bbbbbc bbb cbbf cbbbbb fbbb cf bbbbbf ebbc ebbbbe bbb fbbb bbb bf cbbe bbbf bbb bbb ebbe bbbf bbb fbbb ebbc bbb bbb cbbb bbbc bbb bbb cbbe bbbf bbb fbbb ebbc bbb bbb f ``` <!-- end of image -->
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