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oliveirabruno01
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intersection-count-pixmap-CoT

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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,#e84a4cff b,#c6d57dff c,#e60a10ff d,#aec434ff e,#ecdfc2ff f,#ef898aff g,#b0d7b0ff ``` ```image gggggggggggggggg gggggggggggggggg gggggggggggggggg gggggggggggggggg gggdgggggggggggg gggcccaafbgggggg gggbbgggbfaacccccaffe ggggdggggggggggg effacccccaafe ggggdggggggggggg effacccccaafee ggggdggggggggggg eefaacccccaffe ggggdggggggggggg efaacccccaffe ggggdggggggggggg effaccccc ggggbggggggggggg a ggggbbgggggggggg c gggggdgggggggggg fe gggggdgggggggggg c gggggdgggggggggg c gggggdgggggggggg fe gggggdgggggggggg c gggggbgggggggggg c c ee ef c b c a d c ef d ef f d c c d eb a c b dd a c ee b d c a b d eb a ee d d d aa d b d cc d d ed fc d be be c b d d ee eb d b d be d b d d d d d d eb d be d b d d eeee eb bd d db d d d be d d be d d be d b d d d d d edb ede bd bd dd db ede ede bd dd db db ede bde bd dd db edb ede bd bd dd db ed ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ea5855ff b,#c0ce5fff c,#e60c12ff d,#acc02bff e,#f3e3d3ff f,#f39e9dff g,#d8e29cff ``` ```image db bb bde cccccaaaafffee faaaaacccccccccccaaafffe edg eefffaaaccccccc dg eeff db bb bd gd gde edg dg db bb bd gd gde edg dg db bb bd gd gde edg edg db bb bd gd ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#eb3f44ff b,#cbd97cff c,#e60a10ff d,#aec434ff e,#ebe6c5ff f,#f5a5a7ff g,#f06f72ff ``` ```image d cccagfe ee efgacccccagfe b efgacccccagff d efgaaccccaggfe d efggacccccagfe d ffgacccccagfe d efgaccccc b a ee c b ge d c d c d ff d c b c c ee ff c b c a d c ef d eg g d c c d eb a c b dd g c ee b d c g b d eb a ff d d d ag d b d cc d d ed gc d be be c b d d ee eb d b d be d b d d d d d d eb d be d b d d eeee eb bd d db d d ed e be d d be d d be d be d d d d d edb ede bd bd dd db ede ede bd dd db db ede bde bd dd db edb ede bd bd dd db ed ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#1144b3ff b,#f93b9dff c,#6486c3ff d,#fcb0d7ff e,#f671b4ff f,#afd4b1ff g,#eef0f0ff ``` ```image cc gaaaa faaaaaaf caaaaaaaf faaaaaaac caaaaaaaf gaaaaaaacg caaaaaaaf gaaaaaaaag caaaaaaac gaaaaaaaag caaaaaaac aaaaaaaag gaaaaaac d faaaaaf dbb caaaag gbbbb caaaa dbbbb aaaaa ebbbe aaaac ebbbe aaaac ebbbe gaaaaf ebbbe gaaaag ebbbe caaaag ebbbe caaaa ebbbe aaaaa ebbbegggggggggggggggggggggg aaaaa ebbbefffffffffffffffffffffaaaac ebbbefffffffffffffffffffaaaaf bbbbefffffffffffffffffaaaag gbbbbeffffffffffffffcaaaag gfbbbbeffffffffffffcaaaag gffbbbbeffffffffffaaaaafg gfffbbbbeffffffffaaaaaffg ebeg gffffbbbbfffffffaaaacfffg bbb gfffffbbbbfffffaaaacffffg gbbb gffffffbbbbfffaaaaffffffg ebbe gfffffffbbbbcaaaafffffffg bbb gffffffffbbcaaaaffffffffg gbbb gfffffffffaaaaafffffffffg bbbe gffffffffaaaaabfffffffffg bbb gfffffffaaaaabbbffffffffg dbbb gffffffaaaacfbbbbfffffffg bbbd gfffffaaaacfffbbbbffffffg bbb gfffcaaaaffffffbbbbfffffg dbbb gffcaaaaffffffffbbbbffffg bbbd gfaaaaaffffffffffbbbbfffg bbb gaaaaaffffffffffffbbbbffg dbbb aaaaaffffffffffffffbbbbfg bbbd aaaacffffffffffffffffbbbbg bbb gaaaacffffffffffffffffffbbbb dbbb faaaafffffffffffffffffffffbbbb bbbd caaaagffffffffffffffffffffffbbbb bbb caaaa gggggggggggggggggggggggbbbb ebbb aaaaa gbbbb bbbg aaaac gbbbb bbb aaaac gbbbb ebbe gaaaaf gbbbb bbbg gaaaag gbbbb gbbb caag dbbbb ebbe a dbbbb bbb dbbbb gbbb dbbbb ebbe dbbbb bbb dbbbb gbbb dbbbb bbbd dbbbb bbb dbbbb dbbb dbbbb bbbd ebbbe bbb ebbbe dbbb ebbbe bbbd ebbbe bbb ebbbe dbbb ebbbe bbbd ebbbe bbb ebbbe dbbb ebbbe bbbg ebbbebbb bbbbbbe bbbbbg bbbb bbd ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#1043b3ff b,#f93b9dff c,#849dd7ff d,#fcc8e3ff e,#fb7cbdff f,#4462beff g,#c8d4edff ``` ```image be bbe bbbe bbbbe f bbbbbe fa bbbbbbe gfaa bbbbbbbe gaaaa bbbbbbbbe gaaaaa dbbbbbbbbe caaaaaa dbbbbbbbbe caaaaaaa dbbbbbbbbe caaaaaaaa dbbbbbbbbd faaaaaaaac dbbbbbbbbd gfaaaaaaaag dbbbbbbbbd gaaaaaaaaag dbbbbbbbbd gaaaaaaaafg dbbbbbbbbd caaaaaaaaf dbbbbbbbbd caaaaaaaaf dbbbbbbbbd caaaaaaaac dbbbbbbbbd faaaaaaaac dbbbbbbbbd gfaaaaaaaag dbbbbbbbbd gfaaaaaaaag dbbbbbbbbd gaaaaaaaafg dbbbbbbbbcaaaaaaaaf dbbbbbbfaaaaaaaaf dbbbbfaaaaaaaac dbbfaaaaaaaac dfaaaaaaaag gfaaaaaaaabd gaaaaaaaaabbbd gaaaaaaaafbbbbbd caaaaaaaafbbbbbbbd caaaaaaaacebbbbbbbbd faaaaaaaac ebbbbbbbbd faaaaaaaac ebbbbbbbb gfaaaaaaaag ebbbbbbbb gaaaaaaaaag ebbbbbbbb gaaaaaaaafg ebbbbbbbb caaaaaaaaf ebbbbbbbb caaaaaaaac ebbbbbbbb faaaaaaaac ebbbbbbbe faaaaaaaac ebbbbbbbe gfaaaaaaaag ebbbbbbbe gaaaaaaaaag ebbbbbbbe aaaaaaaafg ebbbbbbbe aaaaaaaf ebbbbbbbe aaaaaaf ebbbbbbbe aaaaac ebbbbbbb aaaac ebbbbbb aaag ebbbbb aag ebbbb fg ebbb ebb bb ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#1043b3ff b,#fa3b9dff c,#88a0d8ff d,#fcbfdfff e,#fb78bbff f,#486bc2ff g,#c7d3edff ``` ```image cf faaa caaaaaag faaaaaaag gaaaaaaaf faaaaaaag gaaaaaaaf faaaaaaac gaaaaaaaf caaaaaaac gaaaaaaaag caaaaaaac faaaaaaag gaaaaaaf d gaaaaag dbb caaaa dbbbb faaaa ebbbb aaaaa ebbbb aaaaf ebbbb aaaac ebbbe aaaac ebbbe gaaaag ebbbe caaaa ebbbe faaaa ebbbe faaaa ebbbe aaaaf ebbbe aaaaf bbbbe aaaac bbbbe gaaaag bbbbe caaaa bbbbd faaaa bbbbd faaaa bbbbd aaaaf ebe bbbbd aaaaf bbb bbbbd aaaac bbb bbbbd gaaaag ebbe bbbbcaaaa bbb bbfaaaa dbbb aaaaa bbbe aaaaabd bbb aaaafbbbd dbbb aaaac bbbb bbbd gaaaag bbbb bbb gaaaag bbbb dbbb caaaa bbbb bbbd faaaa bbbb bbb aaaaa bbbb dbbb aaaaf bbbb bbbd aaaac bbbb bbb gaaaag bbbb ebbb gaaaag bbbb bbbd caaaa bbbb bbb faaaa bbbb ebbb aaaaa bbbb bbbd aaaaf bbbb bbb aaaac dbbbb ebbe aaaag dbbbb bbb gaaaag dbbbb bbb faa dbbbb ebbe a dbbbb bbb dbbbb bbb dbbbb bbbe dbbbb bbb dbbbb dbbb dbbbb bbbe dbbbb bbb ebbbb dbbb ebbbb bbbd ebbbb bbb ebbbe dbbb ebbbe bbbd ebbbe bbb ebbbe dbbb ebbbe bbbd ebbbe bbb ebbbe ebbb bbbbe bbbd bbbbebbb bbbbbbb bbbbb bbbb bbd ``` <!-- end of image -->
[ "" ]
I'm approaching this image with caution. Intersections might be tricky to spot. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#e2b077ff b,#04a737ff c,#91cb96ff d,#e27e21ff e,#b0d7b1ff f,#4bbd6cff g,#f0f2e7ff ``` ```image ddd dddd gdddddd adddaddd dddda gddd gddddg ddd gdddd ddd addda dddg ddddg ddd gddddg dddg adddd ddd addda dddg ddddg ddd gdddd dddg adddd ddd dddda dddg ddddg ddd gdddd dddg adddd ddd dddda dddg ddddg ddd gdddd dddg adddd d dddda ddddg gdddd adddd dddda ddddg gdddd ggggggggggggggggggggggg addda ceeeeeeeeeeeeeeeeeeeeeecg dddda ceeeeeeeeeeeeeeeeeeeeeeegddddg ceeeeeeeeeeeeeeeeeeeeeeadddd bg ceeeeeeeeeeeeeeeeeeeeedddda bbbbceeeeeeeeeeeeeeeeeeeeddddg fbbbbfeeeeeeeeeeeeeeeeeeddddg bbbbbceeeeeeeeeeeeeeaddddeg ebbbbbeeeeeeeeeeeedddddeeg cfbbbbfeeeeeeeeeddddaeeeg ceebbbbbeeeeeeeddddeeeeeg ceeefbbbbfeeeaddddeeeeeeg ceeeeebbbbbcddddaeeeeeeeg ceeeeeecbbbddddeeeeeeeeeg ceeeeeeeefddddfeeeeeeeeeg ceeeeeeeaddddbbbceeeeeeeg ceeeeeeddddacbbbbbeeeeeeg ceeeeeddddeeeefbbbbfeeeeg ceeeeddddeeeeeeebbbbbceeg ceeaddddeeeeeeeeecbbbbbeg ceddddaeeeeeeeeeeeefbbbbc cddddeeeeeeeeeeeeeeeebbbbbg gddddeeeeeeeeeeeeeeeeeecbbbbf addddeeeeeeeeeeeeeeeeeeeeefbbbbc ddddaeeeeeeeeeeeeeeeeeeeeeeggbbbbbg ddddceeeeeeeeeeeeeeeeeeeeeeeg ebbbbf add ceeeeeeeeeeeeeeeeeeeeeeeg fbbbbe a ceeeeeeeeeeeeeeeeeeeeeeeg gbbbbb eccccccccccccccccccccccc cbbbbf bbbbbe gbbbbb cbbbbf bbbbbg gbbbbb fbbbbc bbbbbg ebbbbb fbbbbc bbbbbg ebbbbf fbbbbe gbbbbbg cbbbbf fbbbbe gbbbbb fe cbbbbf cbbb bbbbbe cbbbbbg gbbbbb ebbbbbe fbbbbbbbbc bbbbbc ebf ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e99a53ff b,#05a737ff c,#8dd6a3ff d,#e27c1fff e,#f2c59cff f,#46ba64ff g,#e4ebd8ff ``` ```image e ad gadd edddd fg eddddd bbc adddddd bbbfg gaddddddd bbbbbfg edddddddde bbbbbbbc edddddddag bbbbbbbbfg addddddda cbbbbbbbbbfg gdddddddde gfbbbbbbbbbc edddddddde cbbbbbbbbbfg edddddddag cbbbbbbbbbc addddddda gfbbbbbbbbbc gdddddddde cbbbbbbbbbfg eddddddddg gfbbbbbbbbbc adddddddag gfbbbbbbbbbcgaddddddda cbbbbbbbbbdddddddde gfbbbbbfddddddddg gfbbddddddddag cdddddddddfg gddddddddfbbbc eddddddddbbbbbbfg addddddddbbbbbbbbbfg gaddddddde gfbbbbbbbbbc edddddddde cbbbbbbbbbfg eddddddddg cbbbbbbbbbc addddddda gfbbbbbbbbbc gaddddddde cbbbbbbbbbfg edddddddde fbbbbbbbbbc edddddddag gfbbbbbbbbbc addddddda cbbbbbbbbb gaddddddde gfbbbbbbb edddddddde gfbbbbb edddddddag cbbbb addddddda gfbb ddddddde cb dddddde ddddag ddda dde dg g ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e99b54ff b,#04a737ff c,#94d8a8ff d,#e37d20ff e,#f1c298ff f,#4bbf6fff g,#e4ead7ff ``` ```image dda dddd gdddddd adddaddd dddde ddd dddd ddd edddd ddd addda ddd dddde ddd dddd ddd edddd ddd addda ddd ddddg ddd dddd ddd edddd ddd addda ddd ddddg ddd gdddd ddd edddd ddd addde ddd ddddg ddd gdddd ddd eddda d dddde ddddg gdddd eddda dddde ddddg gdddd addda dddde dddd gdddd bg addda bbbb dddde fbbbbc dddd bbbbbg edddd cbbbbf addda fbbbbc ddddg bbbbb dddd cbbbbf edddd fbbbbcaddda gbbbddddg cddddf eddddbbbg adddegbbbbb ddddg cbbbbf gdddd bbbbbg eddda gbbbbb addde fbbbbc ddddg bbbbbg gdddd cbbbbf eddda fbbbbc dddde bbbbb ddddg cbbbbf edd fbbbbc a gbbbbb cbbbbf bbbbbg gbbbbb cbbbbf bbbbbg gbbbbb fbbbbc bbbbbg gbbbbb fbbbbc bbbbbg cbbbbf fbbbbc gbbbbb cbbbbf fbbbbc gbbbbb fc cbbbbf fbbb bbbbbg cbbbbbg gbbbbb cbbbbbc fbbbbbbbbc bbbbbc gbf ``` <!-- end of image -->
[ "" ]
Based on a first glance, I suspect there could be intersection regions here. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#4689caff b,#b7f556ff c,#bcd4ecff d,#b1d7b1ff e,#7bafc5ff f,#edf6eaff g,#97cb95ff ``` ```image ffffffffffffffffffffffffffffffffff fgdddddddddddddddddddddddddddddadddg fddddddddddddddddddddddddddddddedddg fdddddddddddddddddddddddddddddeddddg fdddddddddddddddddddddddddddddaddddg fdddddddddddddddddddddddddddddeddddg fddddddddddddddddddddddddddddadbdddg fddddddddddddddddddddddddddddadbdddg fddddddddddddddddddddddddddddedbdddg fdddddddddddddddddddddddddddaddddddg fdddddddddddddddddddddddddddadbddddg fdddddddddddddddddddddddddddedbddddg bbf fddddddddddddddddddddddddddaddbddddg fbbbd fddddddddddddddddddddddddddaddbddddg dbbbf fddddddddddddddddddddddddddedddddddg fbbbf fdddddddddddddddddddddddddaddbdddddg fdbbdf fdddddddddddddddddddddddddaddbdddddg fbbbf fddddddddddddddddddddddddeeddbdddddg fbbbd fddddddddddddddddddddddddadddbdddddg dbbbf fddddddddddddddddddddddddadddddddddg fbbbf fdddddddddddddddddddddddedddbddddddg fdbbdf fdddddddddddddddddddddddadddbddddddg fbbbf fdddddddddddddddddddddddadddbddddddg fbbbbddddddddddddddddddddeddddbddddddg fddbbbbddddddddddddddddadddgdddddddg fddddddgbbbgdddddddddddadddbdddddddg fdddddddddddbbbbddddddeddddbdddddddg fdddddddddddddddgbbbddaddddbdddddddg fddddddddddddddddddddagbbddbdddddddg fddddddddddddddddddaeddddbbddddddddg fddddddddddddddddaeddddddddddddddddg fddddddddddddddaeddddddddddddddddddg fddddddddddddaeddddddddddddddddddddg fddddddddddaeddddddddddddddddddddddg fddddddddaeddddddddddddddddddddddddg fddddddaeddddddddddddddddddddddddddg fddddaeddddddddddddddddddddddddddddg fddaeddddddddddddddddddddddddddddddg caeddddddddddddddddddddddddddddddddg facddddddddddddddddddddddddddddddddddg fac fddddddddddddddddddddddddddddddddddg cac fddddddddddddddddddddddddddddddddddg cac fddddddddddddddddddddddddddddddddddg cac fddddddddddddddddddddddddddddddddddg cac fddddddddddddddddddddddddddddddddddg cac fddddddddddddddddddddddddddddddddddg cac ggggggggggggggggggggggggggggggggggd cac cac cac cac cac cac ac a ef fe a a cc a a ef fe a a cc a a ef fe a a cc a a ef fe a a ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#488accff b,#b7f848ff c,#aac9e7ff d,#cdfa80ff e,#84b1daff f,#e3fcbaff g,#e9f2f2ff ``` ```image g ac cag ea ac cag ea gac cag ea gac cag g ee bf gac fbf cag fb ee db gac bd cag bf ae fbf gac fb cag db ae bd gac bf cag fbf ae fb gac db ea bd ae bf gac fbf ea fb ae db gac bd ea bf ae fbf cag fb ea db ae bd cag bf ea fbg ae fb cag dd ea bd ac gbf cag fbg ea fb g gac dd bbdff cag bd fdbbbbddfg ea gbf ffdbbbbdfg gac fbg gfdbbbbddf cag db fddbbbbdfg ee dd ffdbbbbdff gac bd gfdbbbbddfg cag gbf ffdbbbbdfg ee fbg gfdbbbbddf gac db fddbbbbeag dd feaaebbdff bd gcaaeggfdbbbbddbf gcaaeg ffdbbg gcaaeg geaaeg geaaeg geaaeg geaaeg geaaeg geaaeg geaaeg geaaeg geaaeg geaacg geaacg geaacg geaacg geaacg geaacg geaacg eaac ac ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#4689ccff b,#b6f947ff c,#b2cee9ff d,#d0fa88ff e,#7eaed7ff f,#e9fcc8ff g,#dae7f4ff ``` ```image a c e a c e b a b gc d e ff a d gc b bdf a b fdbbd a d dbbdf gc ff fdbbf a d dbbd a b fbbdf gg b fdbbd a d dbbdf a ff fdbbf cg d dbbd a b fbbdf a b fdbbd cg d dbbdf a ff fdbbf e d dbbd cg b fbbdf a b faebd d ae db ae gae gae gae gae gac gac gac gac gac gac gac gac gac gac gac cac cac cac cac cag cag cag ag a eg ge a a cc a a eg ge a a cc a a eg ge a a cc a a eg ge a a ``` <!-- end of image -->
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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,#700e63ff b,#ac90e9ff c,#8b4782ff d,#d8c6e9ff e,#a681a2ff f,#b1d7b1ff g,#96c896ff ``` ```image d bbbbd bbbbbbb dbbbbbbbbbb dbbbbbbbd bbbb fggggggggggggggggggggggggggggg bbbbbbbb dbbbbgfffffffffffffffffffffffffffff dbbbbbbbb dbbbbfffffffffffffffffffffffffffff dbbbbbbbd bbbbfffffffffffffffffffffffffffff bbbbbbbbd bbbbffffffffffffffffffffffffffff dbbbbbbbb bbbbfffffffffffffffffffffffffff dbbbbbbbd bbbbffffffffffffffffffffffffff bbbbbbbbd gbbbbfffffffffffffffffffffffff bbbbbbbb gbbbbbffffffffffffffffffffffff gggggfbbbbbbbbgggggf gfbbbbbfffffffffffffffffffffff fffbbbbbbbbffffffffg gffbbbbfffffffffffffffffffffff fbbbbbbbbffffffffffg gfffbbbbffffffffffffffffffffff dbbbbbbbbffffffffffffg gffffbbbbfffffffffffffffffffff dbbbbbbbbffffffffffffffg gfffffbbbbffffffffffffffffffff bbbbbbbbfffffffffffffffffg gfffffbbbbbfffffffffffffffffff bbbbbbbbfffffffffffffffffffg gffffffbbbbbffffffffffffffffff bbbbbd fffffffffffffffffffg gfffffffbbbbffffffffffffffffff bbbd fffffffffffffffffffg gffffffffbbbbfffffffffffffffff caaaaaaaaaaaaaccceegg gfffffffffbbbbffffffffffffffff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaacceeedd gffffffffffbbbbfffffffffffffff aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaebbbbegffffffffffff aaafffffgeeecccaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbbeaaaaaaaaaaaaacce daaafffffffffffffffffg dddeeeccaaaaaaaaaaaaaaaaaaaabbbbcaaaaaaaaaaaaaaa eaaafffffffffffffffffg gffffgeeecccaabbbbaaaaaaaaaaaaaaa caaafffffffffffffffffg gffffffffffffffbbbbffffffgeeeccca aaacfffffffffffffffffg gfffffffffffffffbbbbffffffffff aaaefffffffffffffffffg gfffffffffffffffbbbbbfffffffff aaagfffffffffffffffffg gffffffffffffffffbbbbbffffffff aaaffffffffffffffffffg gfffffffffffffffffbbbbffffffff aaaffffffffffffffffffg gffffffffffffffffffbbbbfffffff daaaffffffffffffffffffg gfffffffffffffffffffbbbbffffff eaaaffffffffffffffffffg gffffffffffffffffffffbbbbfffff caaaffffffffffffffffffg gffffffffffffffffffffbbbbbffff aaacffffffffffffffffffg gfffffffffffffffffffffbbbbbfff aaaeffffffffffffffffffg gffffffffffffffffffffffbbbbfff aaagffffffffffffffffffg gfffffffffffffffffffffffbbbbff aaafffffffffffffffffffg gffffffffffffffffffffffffbbbbf aaafffffffffffffffffffg gfffffffffffffffffffffffffbbbb daaagffffffffffffffffffg gfffffffffffffffffffffffffbbbbb baaa gffffffffffffffffffffffffffbbbbd eaaa gfffffffffffffffffffffffffffbbbbd caac gffffffffffffffffffffffffffffbbbb aaae gfffffffffffffffffffffffffffffbbbd aaad gfffffffffffffffffffffffffffffdbd aaa fggggggggggggggggggggggggggggg aaa aaa daaa eaaa caac aaae aaad aaa aaa aaa daaa eaaa caac aaae aaad aaa aaa aaa daaa eaaa caac aaae aaab aaad aaa aaa daaa eaaa caaa aaac aaae aaad aaa ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#700e63ff b,#ac8febff c,#a3659bff d,#d1bbe3ff e,#c096bbff f,#88387eff g,#e7ddf1ff ``` ```image dbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbg gbbbbbbbbbbbbbbbdg dbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbd bbbbbbbbbbbbbbbg bbbbbbbbbbbbdg bbbbbbbbbbd bbbbbbbbg bbbbbdg bbbd bg gcaaaafffcccceeeedddgg faaaaaaaaaaaaaaaaaaaaaaaaffffcccceeeedd aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaafcffffaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaac gggddeeeeccccffffaaaaaaaa aaaaae ggddd aaaaae aaaaad aaaaag aaaaa aaaaf aaaaf aaaac aaaae aaaae aaaad aaaag aaaa aaaf aaaf aaac aaae aaae aaad aaag aaa aaa aaf aac aac aae aad aag aa aa af ac ac ``` <!-- end of image --> I had hoped to find an intersection in area A, but there isn't one. Now, let's turn our attention to the next spot. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#700e63ff b,#ac8feaff c,#a871aaff d,#c5b1f0ff e,#cdacc9ff f,#8b3e85ff g,#e5daf4ff ``` ```image g b bd bbd bbbg bbbbg bbbbbg bbbbbb bbbbbbd bbbbbbbd bbbbbbbbg gbbbbbbbbg gbbbbbbbbg dbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbbg gbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbbg gbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbbg gbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbbd gbbbbbbbbg gbbbbbbbbg aaffffcccceeeeeggg gbbbbbbbb aaaaaaaaaaaaaaaaaaaaaffcbbbbbbbbeegggg aaaaaaaaaaaaaaaaaaaaaaaacbbbbbbbcaaaaaaaaffffccccceeeeggg aaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbcaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaabbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaafbbbbbbbbfaaaaaaaaaaaaaaaaaaaaaaa ccffffaaaaaaaaaaaaaaaaaaaaafbbbbbbbbaaaaaaaaaaaaaaaaaaaaaaa gggeeeecccccffffaacbbbbbbbbaaaaaaaaaaaaaaaaaaaaaa dbbbbbbbbcccfffffaaaaaaaaaaaaa bbbbbbbbd gggeeeeecc bbbbbbbbg gbbbbbbbbg gbbbbbbbbg dbbbbbbbb dbbbbbbbd bbbbbbbbd bbbbbbbbg gbbbbbbbbg gbbbbbbbbg dbbbbbbbb dbbbbbbbd bbbbbbbbd bbbbbbbbg gbbbbbbbbg gbbbbbbbbg dbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbbg gbbbbbbbbg gbbbbbbbbg dbbbbbbbb dbbbbbbbd dbbbbbbbd bbbbbbbb gbbbbbbb gbbbbbb dbbbbb dbbbb dbbb bbb gbb gb d ``` <!-- end of image --> I observe 1 intersection inside area B. Answer: A: 0; B: 1; 0 + 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#700e63ff b,#ac90ebff c,#9e5d97ff d,#d1bce7ff e,#bd91b9ff f,#843079ff g,#e8def3ff ``` ```image gg bbbbd gbbbbbbbg dbbbbbbbbbb dbbbbbbbd bbbb bbbbbbbbg gbbbb gbbbbbbbb dbbbb dbbbbbbbd bbbbd bbbbbbbbg bbbbg gbbbbbbbb bbbb dbbbbbbbd bbbb bbbbbbbbg gbbbb gbbbbbbbb dbbbb dbbbbbbbd bbbbd dbbbbbbbd bbbbg bbbbbbbbg bbbb gbbbbbbbb bbbb dbbbbbbbd gbbbb bbbbbbbbg dbbbb gbbbbbbbb bbbbd bbbbbd bbbbg dbbg bbbb faaaaaaaaaaaafcceeedg bbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffcceeddg gbbbb aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaafebbbbdgg aaa ggdeeccffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbbbcaaaaaaaaaaaaafccg daaa gddeeccfaaaaaaaaaaaaaaaaaaaabbbbfaaaaaaaaaaaaaaa eaaa gdeeccffabbbbaaaaaaaaaaaaaaa caaf bbbb gddeeccff aaac gbbbb aaae dbbbb aaag bbbbd aaa bbbbg aaa bbbb daaa bbbb eaaa gbbbb caaf dbbbb aaac bbbbd aaae bbbbg aaag bbbb aaa bbbb aaa gbbbb gaaa dbbbb eaaa bbbbd caaa bbbbg faac bbbb aaae bbbd aaad gbg aaa aaa gaaa eaaa caaa faaf aaae aaad aaa aaa aaa daaa eaaa faaf aaac aaad aaag aaa aaa daaa eaaa caaf aaac aaae aaag aaa aaa gaaa eaaa caaf faac aaae aaag aaa ``` <!-- 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,#a2f907ff b,#427ee7ff c,#dbfca2ff d,#83afd9ff e,#afd6afff f,#b0f052ff g,#edf5efff ``` ```image g aac caaa ggggggggggggaaaagggggggggggggggg gaa geeeeeeeeeeeeaaaaaeeeeeeeeeeeeeeeg aaaaf geeeeeeeeeeefaaaaaeeeeeeeeeeeeeeeg caaaaaaf geeeeeeeeeeeaaaaaafeeeeeeeeeeeeeeg aaafaaaaaf geeeeeeeeeeeaaaeaaaeeeeeeeeeeeeeeg aaaf faaaaac geeeeeeeeeefaafeaaaeeeeeeeeeeeeeeg gaaa aaaaaac geeeeeeeeeeaaaeefaaaeeeeeeeeeeeeeg aaac gaaaaaac geeeeeeeeeeaaaeeeaaaeeeeeeeeeeeeeg faaa gaaaaaag geeeeeeeeefaafeeeaaafeeeeeeeeeebbb aaag gaaaaaa geeeeeeeeeaaaeeeeeaaaeeeeeeebbbbbb aaaf caaaaf geeeeeeeeeaaaeeeeeaaaeeeedbbbbbbbbg caaa caaa geeeeeeeefaafeeeeefaaadbbbbbbbbdeg aaac aaa geeeeeeeeaaaeeeeeeefbbbbbbbbdeeeeg faaa aaa geeeeeeeeaaaeeeeebbbbbbbbdeeeeeeeg gaaa aaa geeeeeeefaafdbbbbbbbbbbeeeeeeeeeeg aaaf aaa geeeeeeeaaabbbbbbbbbfaaeeeeeeeeeeg caaa aaa geeeeeeeaafbbbbbbdeefaaaeeeeeeeeeg aaac aaa geeeeeefaafbbdeeeeeeeaaaeeeeeeeeeg faaa aaa geeeeeeaaadbbdeeeeeeeaaafeeeeeeeeg gaaa aaa geeeeeeaaadbbdeeeeeeeeaaaeeeeeeeeg aaaf aaa geeeeefaafdbbdeeeeeeeeaaaeeeeeeeeg caaa aaa geeeeeaaaedbbdeeeeeeeefaaaeeeeeeeg aaag aaa geeeeeaaaedbbdeeeeeeeeeaaaeeeeeeeg aaaa aaa geeeefaafedbbdeeeeeeeeeaaafeeeeeeg gaaa aaa geeeeaaaeedbbdeeeeeeeeeeaaaeeeeeeg aaac faa geeeeaaaeedbbdeeeeeeeeeeaaaeeeeeeg faaa faag geeefaafeedbbdeeeeeeeeeefaafeeeeeg aaag faag geeeaaaeeedbbdeeeeeeeeeeeaaaeeeeeg aaaf faac geeeaaaeeedbbdeeeeeeeeeeeaaafeeeeg caaa caac geefaafeeedbbdeeeeeeeeeeeeaaaeeeeg aaac caac geeaaaeeeedbbdeeeeeeeeeeeeaaaeeeeg faaa caac geeaaaeeeedbbdeeeeeeeeeeeefaafeeeg aaa caaf gfaacggggdbbggggggggggggggaaaggg aaaf gaaf aaa dbbg aaac caaa gaaf aaa dbbg gaaa aaac aaf faac dbbg aaa ggggggggfaaag aaa aaa dbbg faaf eeeeeeeeaaaee aaa gaaa dbbg aaa eeeeeeeaaafee aaa faac dbb aaac eeeeeefaaaeee aaa aaa bbb caaa eeeeeeaaaeeee aaagaaa bbb aaa eeeeeaaaaeeee aaafaac bbb faaf eeeeeaaaeeeee aaaaaa bbb aaa eeeeaaafeeeee aaaaaa bbb aaag eeefaaaeeeeee aaaaac bbb cfg eeeaaaeeeeeee aaaaa bbb eeaaaaeeeeeee aaaaa bbb eeaaaeeeeeeee aaaac bbb eeeffeeeeeeee aaaa bbb eeeeeeeeeeeee aaaa bbb eeedeeeeeeeee aaac bbb eebbbbdeeeeee caa bbb eebbbbbbbbdee bbb eeedbbbbbbbbbd bbb eeeeeedbbbbbbbbbdg bbb gbbbbbbbbbd bbb dbbbbbbbd bbb dbbbbbbd bbb gbbbbbbd bbb bbbbbbd bbb bbbbbbd bbb bbbbbbd bbb dbbbbbb bbb dbbbbbb bbb dbbbbbb bbb dbbbbbbg bbb dbbbbbbg bbb dbbbbbbg bbb dbbbbbbg bbb dbbbbbbg bbb dbbbbbbg bbb gbbbbbbg bbb gbbbbbbd bbb gbbbbbbd bbb gbbbbbbd bbb gbbbbbbbbb gbbbbbbb gbbbbb bbg ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a2fa07ff b,#427ee8ff c,#cffb81ff d,#8db0f0ff e,#e9fdc4ff f,#b5fa3cff g,#c9daf7ff ``` ```image caaaaaac aaaaaaf caaaaaae eaaaaaac faaaaaa caaaaaae eaaaaaaf faaaaaae eaaaaaac faaaaaf caaaaaae eaaaaaaf faaaaaae eaaaaaac aaaaaaf caaaaaae eaaaaaaf faaaaaa caaaaaac aaaaaaf caaaaaae faaaaac efaaa cac e gddg dbbbbdg bbbbbbbbdg bbbbbbbbbbbddg gbbbbbbbbbbbbbbbdg dbbbbbbbbbbbbbbbbbbdg gdbbbbbbbbbbbbbbbbb ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Let's move forward and inspect another region. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#a2f906ff b,#427de7ff c,#c9fa74ff d,#87afe6ff e,#e7fdc1ff f,#abf532ff g,#b7cef5ff ``` ```image eaaaaaaaae caaaaaaaac faaaaaaaaf eaaaaaaaaaae caaaaaaaaaaf faaaaaaaaaaae eaaaaaafaaaaac caaaaaceaaaaaf faaaaae aaaaaae eaaaaaa caaaaaf caaaaac eaaaaaa faaaaae faaaaac eaaaaaa eaaaaaf caaaaac aaaaaae faaaaae caaaaac eaaaaaa eaaaaaa g caaaaac faaaaac dbb faaaaae caaaaaf gbbbbb eaaaaaa aaaaaae gdbbbbbbb caaaaac caaaaac gdbbbbbbbbbb faaaaae eaaaaaa gdbbbbbbbbbbbbb eaaaaaa faaaaac gbbbbbbbbbbbbbbbb caaaaac caaaaaf gdbbbbbbbbbbbbbbbdg faaaaae aaaafdbbbbbbbbbbbbbbbdg eaaaaaa cfdbbbbbbbbbbbbbbbbg caaaaac gbbbbbbbbbbbbbbbbdg faaaaae gdbbbbbbbbbbbbbbbdg eaaaaaa ggdbbbbbbbbbbbbbbbdg caaaaacddbbbbbbbbbbbbbbbbbbbbd faaaafbbbbbbbbbbbbbbbbbbbbdfac eaaaaabbbbbbbbbbbbbbbbbbdfaaaaa caaaafbbbbbbbbbbbbbbbdg faaaaac faaaafbbbbbbbbbbbbbg caaaaaf eaaaaafbbbbbbbddgg aaaaaae caaaaacbbbbbd caaaaac faaaaagbbbbbd eaaaaaa eaaaaafgbbbbbd faaaaae caaaaacgbbbbbd caaaaaf faaaaaegbbbbbd aaaaaae eaaaaaf gbbbbbd faaaaac caaaaac gbbbbbd eaaaaaa aaaaaae gbbbbbg faaaaae eaaaaaf gbbbbbg caaaaaf caaaaac gbbbbbg aaaaaae aaaaaae gbbbbbg faaaaac eaaaaaf gbbbbbg eaaaaaa caaaaac gbbbbbg faaaaae aaaaaae gbbbbbg caaaaaf eaaaaaf gbbbbbg eaaaaaae caaaaac gbbbbbg faaaaac aaaaaae gbbbbbg eaaaaaa eaaaaaf gbbbbbg aaaaaae caaaaac gbbbbbg caaaaaf aaaaaae gbbbbbg eaaaaaae eaaaaaf dbbbbbg faaaaac caaaaac dbbbbbg eaaaaaf aaaaaae dbbbbbg aaaaaae eaaaaaf dbbbbbg caaaaaf caaaaac dbbbbbg eaaaaaae aaaaaae dbbbbbg faaaaac eaaaaaf dbbbbbg eaaaaaf caaaaac dbbbbbg aaaaaae ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#a2f906ff b,#427de7ff c,#cefa81ff d,#82a9efff e,#e7fdc2ff f,#b5f842ff g,#bcd1f6ff ``` ```image aac caaa aaaae aa aaaaa aaaaf caaaaa caaaaaaf aaafaac aaafaaaaac aaa aaa aaaf faaaaac caaf aaa eaaa aaaaaae aaa caaa aaac aaaaaae aaa aaa caaa aaaaaae caaf faac gbbb aaa eaaaaaa aaa aaa dbbbbb aaaf eaaaaf aaa aaa dbbbbbbbb eaaa caaa caac caafgbbbbbbbbg aaae aaa aaa fbbbbbbbbg faaa aaa aaa dbbbbbbbd aaa aaa caacdbbbbbbbbbb aaaf aaa aaabbbbbbbbbfaa caaa aaa aafbbbbbbg caaf aaae aaa caacbbd aaa faaa aaa aaagbbd faac aaa aaa aaagbbd aaa aaac aaa caacgbbd aaa caaa aaa aaa gbbg caaf aaae aaa aaa gbbg aaa aaaf aaa caac gbbg aaae eaaa faa aaa gbbg eaaa aaac faa aaa gbbg aaa caaa faae caac gbbg caaf aaa faae aaa dbbg aaa aaaf caae aaa dbbg aaae eaaa caae faac dbbg eaaa aaae caac aaa dbbg aaa faaa eaac aaa dbbg caaf aaa eaac faac dbbg aaa aaaf eaaf aaa dbbg aaae eaaa aaf aaa dbb eaaa aaae aaf faac dbb aaa faaa aaa aaa dbb caaf aaa aaa aaa dbb aaa aaac aaa faac dbb aaae caaa aaa aaa dbb eaaa aaae aaa aaa bbb aaa faaa aaafaac bbb faac eaaa aaaaaa bbb aaa aaac aaaaaa bbb aaae caaa aaaaac bbb ef aaa aaaaa bbb aaaf aaaaa bbb aaa aaaac bbb cc aaaa bbb aaaa bbb gg faae bbb dbbbd caa bbb bbbbbbbbg bbb dbbbbbbbbbg bbb gbbbbbbbbbd bbb gbbbbbbbbbg bbb dbbbbbbbd bbb gbbbbbbd bbb bbbbbbd bbb bbbbbbd bbb bbbbbbd bbb bbbbbbd bbb dbbbbbb bbb dbbbbbb bbb dbbbbbb bbb dbbbbbb bbb dbbbbbb bbb dbbbbbb bbb gbbbbbbg bbb gbbbbbbg bbb gbbbbbbg bbb gbbbbbbg bbb gbbbbbbg bbb gbbbbbbg bbb gbbbbbbg bbb bbbbbbbbb bbbbbbb bbbbb bbg ``` <!-- end of image -->
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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,#436ba3ff b,#e288ddff c,#7899b3ff d,#e7b6e6ff e,#b1d6b1ff f,#f0edf2ff g,#95c69aff ``` ```image geeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeg geeeeeeeeeeeeegeeeeeebeeeeeeeg fdf geeeeeeeeeeeeaaeeeeebbbeeeeeeg dbb geeeeeeeeeeecaaaeeeebbbbeeeeeg dbd geeeeeeeeeeeaaaaeeebbbbbeeeeeg bbd geeeeeeeeeegaaaaceebbedbbeeeeg bbf geeeeeeeeeeaaceaaedbbeebbbeeeg bb geeeeeeeeeeaaeeaacbbeeeebbeeeg bb geeeeeeeeeaaceegacbbeeeeebbeeg bb geeeeeeeeeaaeeeeabbdeeeeebbbeg bb geeeeeeeeaaaeeeecbbeeeeeeebbdg bb geeeeeeeeaaeeeeebbbgeeeeeeebbg fbb geeeeeeecaaeeeeebbaaeeeeeeebbb dbb geeeeeeeaaeeeeedbbaaeeeeeeeebbd dbd geeeeeecaaeeeeebbeaaaeeeeeeeebb bbd geeeeeeaageeeeebbeeaaeeeeeeeebbb bbf geeeeegaaeeeeebbdeeaaceeeeeeegbbd bb geeeeeaaceeeeebbeeeeaaeeeeeeegfbbf bb geeeeeaaeeeeebbbeeeeaaceeeeeeg dbb bb geeeeaaceeeeebbeeeeegaaeeeeeeg bbb bb geeeeaaeeeeeebbeeeeeeaageeeeeg bbf bb geeeaaaeeeeebbeeeeeeecaaeeeeeg dbb fbb geeeaaeeeeeebbeeeeeeeeaaeeeeeg bbb fbb geecaaeeeeebbbeeeeeeeecaaeeeeg bbf dbd geeaaeeeeeebbeeeeeeeeeeaaeeeeg dbb dbd gecaaeeeeebbbeeeeeeeeeeaaaeeeg bbb bbf geaageeeeebbeeeeeeeeeeeeaaeeeg bbf bb ggaaeeeeeebbeeeeeeeeeeeeaaceeg dbb bb gaaceeeeebbeeeeeeeeeeeeegaaeeg bbb bb gaaeeeeeebbeeeeeeeeeeeeeeaaceg bbd bb faaceeeeebbbeeeeeeeeeeeeeecaaeg fbb bb fcaaaaaeeeeeebbeeeeeeeeeeeeeeeeaagg bbb fbb fcaaaaaaacffffffdbbffffffffffffffffcaa bbd fbb eaaaaacf bbf aaf fbb dbd acd fbb caa bbb dbd bbd aa bbd bbf bb aac fbbf bbf bbb faa dbb bb bb aac bbd bb dbb faa bbf bb bbf aae dbb bb fbb eaa bbb fbb bbd aaf bbf fbb bb caa dbb dbd dbb aa bbb dbd bb caa bbf bbf dbb aa dbb bbf bbf aac bbb bb fbb faa bbd bb bbd aae fbb bb bb daa bbb bb dbb aad bbd fbb bbf eaa fbb fbb fbb aaf bbb dbd bbd caa bbd dbd bb aa fbb bbf bbd aac dbb bbf bb aa bbd bb dbb aac fffffbbfffbbfffffffff bbf faa fgeeeebbbeebbeeeeeeeee fbb aae feeeeeebbbebbeeeeeeeee bbd eaa feeeeeeebbebbeeeeeeeee bb aaf feeeeeeedbbbbeeeeeeeee bbb caa feeeeeeeebbbbeeecaceee bb aaf feeeeeeeeebbdeeaaaaeee dbb caa feeeeeeeeeebeeaaageeee bbf aa feeeeeeeeeeegaaaeeeeee fbb aac feeeeeeeeeecaaaeeeeeee bbd faa feeeeeeeeeaaaceeeeeeee bb aac feeeeeeeeaaaeeeeeeeeee dbb faa feeeeeecaaaeeeeeeeeeee bb aae feeeeeaaaceeeeeeeeeeee dbb eaa feeeeaaageeeeeeeeeeeee df aaf feegaaaeeeeeeeeeeeeeee caa feaaaaeeeeeeeeeeeeeeee aa faaaceeeeeeeeeeeeeeeee caa faaaeeeeeeeeeeeeeeeeeee aa caaaeeeeeeeeeeeeeeeeeeee aacaaacfffffffffffffffffffff faaaad aaa c ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#426aa3ff b,#e388deff c,#6685b4ff d,#edb6eaff e,#90a3c8ff f,#ece3f3ff g,#b8c7dcff ``` ```image f fgf fbbbf fcaag dbbbb eaaaaf fbbbbbd aaaaag dbbbbbbf gaaaaac bbbbbbbb caaaaaag dbbbbbbbbd gaaaaaaac bbbbdbbbbbf caaaaaaaag fbbbbffbbbbb faaaagaaaac dbbbb dbbbbd caaaa eaaaaf fbbbbd dbbbbf faaaae faaaae dbbbb fbbbbb eaaaaf eaaaaf bbbbd dbbbbd faaaae faaaaedbbbbf dbbbbf eaaaaf eaaaabbbbd bbbbb aaaae faaacbbbbf fbbbbd gaaaaf caaebbbb dbbbbd caaac gaabbbbd bbbbbf gaaaag cebbbb fbbbbb caaac gbbbbb dbbbbd gaaaag dbbbbe bbbbbf caaaa bbbbbaf fbbbbb faaaae fbbbbcae dbbbb eaaaaf dbbbbaaaf bbbb faaaae bbbbeaaae fbbb eaaaaf dbbbbeaaaa dbb aaaae bbbbdgaaaag bb gaaaaf fbbbbf caaac fb caaac dbbbb gaaaag d gaaaag fbbbbd caaac caaac dbbbb gaaaaf gaaaag bbbbd aaaae caaaa dbbbbf eaaaaf faaaag bbbbd faaaae eaaaaf fbbbbf eaaaaf faaaae dbbbb faaaag eaaaaf fbbbbd caaaa faaaae dbbbb gaaaag eaaaaf bbbbd caaac aaaac dbbbbf gaaaag gaaaag bbbbd aaaac caaac fbbbbf eaaaaf gaaaag dbbbb faaaae caaac bbbbd eaaaaf faaaag dbbbb faaaae eaaaa bbbbd eaaaa faaaae fbbbbf faaaag eaaaaf bbbbb caaac faaaae fbbbbf gaaaag eaaaaf dbbbb caaac aaaac bbbbd gaaaag gaaaag dbbbb aaaac caaac bbbbd eaaaaf gaaaag fbbbbf faaaae caaac dbbbb eaaaaf faaaag fbbbbd faaaae caaaa dbbbb caaaa faaaae bbbbd gaaaag eaaaaf dbbbbf caaac aaaae bbbbd gaaaag aaaaf fbbbbf caaac ``` <!-- end of image --> I am surprised, so clear, 1 intersection has appeared in area A. Let's continue our search in the next region. This close-up of area B is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#426aa3ff b,#e388deff c,#6384b3ff d,#eeb9ebff e,#8ea6c7ff f,#e8e5f2ff g,#b8c7dcff ``` ```image bbbbbf dbbbd fbbbbb dbbbd dbbbbd dbbbd bbbbbf bbbbd fbbbbb bbbbf dbbbbd bbbbf bbbbbfbbbb fbbbbbbbbb dbbbbbbbb ff bbbbbbbb gac fbbbbbbd eaaae dbbbbbd fcaaaaag bbbbbd fcaaaaacf fbbbbd gaaaaaae dbbb eaaaaaag fd fcaaaaacf gaaaaaae eaaaaaag fcaaaaacf fcaaaaacf gaaaaaae eaaaaaag fcaaaaacf gaaaaaae eaaaaaag fcaaaaacf fcaaaaacf gaaaaaae eaaaaaag fcaaaaacf gaaaaaae eaaaaaag fcaaaaacf fcaaaaacf gaaaaaae eaaaaaag aaaaacf aaaae ``` <!-- end of image --> This isn't an intersection in area B, but I'm not discouraged. Answer: A: 1; B: 0; 1 + 0 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#436aa3ff b,#e388deff c,#6f8db8ff d,#edb5eaff e,#9db2cfff f,#f2e2f4ff g,#c8d3e3ff ``` ```image fg fbf fdf aaf bbb fbb eaaa bbbb dbd aaaa bbdbbf bbd gaaaac bb dbb bbf aaefaa dbb bbb bb faa aaebbf bbf bb aac gacbb fbb bb aa abbd bbb bb cac ebb bbd bb aa bbbf fbb fbb caa bbaa bbb fbb aaf dbbaa bbd dbd eaa bbfcac fbb bbd aag fbb aa bbb bbf gaa bbd aac bbd bb aae bb faa fbbf bb faa dbb aae dbb bb aac bb gaa bbb bb aa fbb aag bbf bb cac bbf eaa dbb fbb aa fbb aaf bbb fbb caa bbd caa bbf dbd aaf bb aa dbb dbd eaa dbb cac bbb bbf aag bbf aa bbf bb gaa fbb aae fbb bb aae bbd faa bbb bb faa bb aae bbd bb faae bbd gaa fbb bb fcaaaaa bb aag bbb fbb feaaaaaaacf dbb eaa bbd fbb eaaaaacg bbf aaf fbb dbd acg fbb caa bbb dbd bbd aa bbd bbf bb aac fbb bb bbb faa dbb bb bb aae bbd bb dbb gaa bbf bb bbf aag dbb bb fbb eaa bbb fbb bbd aaf bbf fbb bb eaa dbb dbd dbb aa bbb dbd bb cac bbf bbf dbb aa dbb bbf bbf aac bbb bb fbb faa bbd bb bbd aae fbb bb bb gaa bbb bb dbb aag bbd fbb bbf eaa fbb fbb fbb aaf bbb dbd bbf caa bbd dbd bb aa fbb bbf bbd cac dbb bbf bb aa bbd bb dbb aae bbf bb bbf faa dbb bb fbb aae bbb bb bbd gaa bbfbb bb aag dbbbb f bbb eaa bbbd eac bb aaf bbd aaac dbb caa fb aaag bbf aa gaaa fbb aac caaa bbd faa aaae bb aae faaaf dbb gaa eaaa bb aag aaac dbb eaa aaag df aaf gaaa eaa caaa aa aaae cac faaaf aa eaaa aacaaac faaaag aaa e ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#b2923cff b,#e4ba99ff c,#ea5126ff d,#d59866ff e,#f2dbccff f,#b1d7b1ff g,#99c894ff ``` ```image eb edaaaab edaaaab bae edaaaab da edaaaab aa edaaaab ad edaaaab ab edaaaab bae edaaaab da edaaaab aa edaaaab aa edaaaab ab daaaab eae ab da aa aa ad eae da aa aa ad eae ba aa aa ad eab ba aa aa ad eab bae da aa ba ea a ae be ab cb ad cb fggggggggaagggggg cd gffffffffgaffffff cc gffffffffgaffffff cc gfffffffffaffffff dc gfffffffffaffffff bc gfffffffffagfffff ec gfffffffffadfffff ec gfffffffffaafffff c gfffffffffdafffff c gfffffffffgafffff ce gffffffffffafffff ce gffffffffffafffff cb gffffffffffccffff cd gfffffffdccccffff cd gffffccccdfaaffff cc gfccccdffffaaffff dc eccccdfffffffgaffff bc eccccdfffffffffffaffff bc eccccb gfffffffffffaffff ec eccccb gfffffffffffagfff c bcccce gffffffffffffffff c bcccce gffffffffffffffff c bcccce gffffffffffffffff ce bcccce gffffffffffffffff cb bcccde gffffffffffffffff cb dcccd gffffffffffffffff cd dcccd cc dcccd dc dcccd dc dcccd bc eccccb ec eccccb ec eccccb c eccccb c eccccb ce bcccce cdcccce ccce ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#b2913cff b,#dfcba7ff c,#ea4e22ff d,#f4ac97ff e,#f3e5d7ff f,#c7ad6fff g,#ee7553ff ``` ```image faa faae baae baab eaab eaaf aaf faa faae baae baab eaab eaaf aaf aaa faa faae baab baab eaaf aaf aaa faa faadd fcccc bgccccccb dgcccccccgb dgcccccccgaaf edgcccccccde aaf edgccccccgde faa edgccccccgde faae edgccccccgde baae ccccccgde baab cccgde eaab gde eaaf aaf aaa faa faae eee ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b2913cff b,#e1c09cff c,#ea4e22ff d,#f39980ff e,#f2dcccff f,#c2a865ff g,#ee714eff ``` ```image eb efaaaab efaaaab bae efaaaab fa efaaaab aa efaaaab af efaaaab ab efaaaab bae efaaaab fa efaaaab aa efaaaab aa efaaaab ab faaaab eae ab fa aa aa af eae fa aa aa af eae ba aa aa af eab ba fa aa af eab bae fa aa ba ea a ae de ab cb af cd fa cd ba cg ea gc a dc a dc ab ec af ec fa c ba c ea ce a ce a cb cc cd gcccg cg gcccd af gc egcccd fa gc egcccd ba dc egcccb ea bc eccccb a ec eccccb ae c bcccce c bcccce c bcccge ce dcccge cb dcccge cd dcccg cg dcccg cg dcccd gc gcccd dc gcccd bc egcccd ec egcccd ec egcccb c eccccb c eccccb ce bcccce cdcccce ccge ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. There are 1 areas where the lines seem to converge. We should take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#29c75fff b,#ce965aff c,#60cf82ff d,#e9f2e6ff e,#cc6f21ff f,#b1d8b1ff g,#95cc97ff ``` ```image cd daaaa faaacca gaaaf dad caaad ac daaac aa daaag fa af af aa ca fa ag aa ga dad ac aa fa af aa ca dad ac aa ga af aa aa fa ag aa ca dad ac aa fa dddddafdddddddddddddddddddd beb gfffffaaffffffffffffffffffffg feeeeeb gfffffaaffffffffffffffffffffg deeeef beb gfffffgaffffffffffffffffffffg beeeb beb gffffffacfffffffffffffffffffg eeed beb gffffffaafffffffffffffffffffg b bebgffffffcafffffffffffffffffffg bebfffffffagffffffffffffffffffg bebffffffaaffffffffffffffffffg bebfffffaaffffffffffffffffffg gbebffffgaffffffffffffffffffg gfbebffffacfffffffffffffffffg gffbebfffaafffffffffffffffffg gfffbebffcafffffffffffffffffg gffffbebfgagffffffffffffffffg gfffffbebfacffffffffffffffffg gffffffbebaaffffffffffffffffg gfffffffbecaffffffffffffffffg gffffffffbeagfffffffffffffffg gfffffffffbaafffffffffffffffg gffffffffffaabffffffffffffffg gffffffffffgaebbbgggffffffffg gfffffffffffaceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbfffddddd gfffffffffffaafffffffffgggbbbbbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeed gfffffffffffcaffffffffffffffg ddddd gffffffffffffagfffffffffffffg gffffffffffffacfffffffffffffg gffffffffffffaafffffffffffffg gffffffffffffcafffffffffffffg gfffffffffffffacffffffffffffg gfffffffffffffaaffffffffffffg gfffffffffffffcaffffffffffffg gfffffffffffffgaffffffffffffg gffffffffffffffacfgaacgfffffg gffffffffffffffaafcaaaaaaacgg gffffffffffffffcafaafffcaaaaaaacf gfffffffffffffffagaaffffffffccaaaaaacf gfffffffffffffffaaaaffffffffg fcaaaaaacf gfffffffffffffffaaaaffffffffg fcaaaaaaagd fgggggggggggggggcaaaggggggggf dgaaaaaaagd aag dgaaaaaaacd aaf dfcaaaaaacd caf fcaad dad ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#28c75eff b,#d8955bff c,#58d17fff d,#c4efd3ff e,#ca7021ff f,#efd2baff g,#88dfa6ff ``` ```image gaac daaa aaad caag gaac daaa aaad caag gaaa daaad caag gaac daaa b aaad eb caag eeb gaac eeeb daaa beeeb aaad beeeb gaag beeeb daaa beeeb aaad beeeb caag beeeb gaac beeeb daaa beeeb aaad beeeb caag beeeb gaac beeeb daaad beeeb aaag beeeb gaac beeeb daaa beeeb aaad beeebcaag beeecaac beeeaaa beeaaad beaaag beaaa baaab aaaeb gaaaeb daaaeebffffffffffff aaaeeeeeeeeeeeeeeeeeeeeeeeeeebbb caaceeeeeeeeeeeeeeeeeeeeeeeeeeee gaacfbbbbbbeeeeeeeeeeeeeeeeeeeee daaa ffffffffff aaad gaag daaa aaad caag gaac daaa aaad caag gaac daaad caag gaac daaa aaad caag gaac daaa aaad dd caag daaaacgdd daaa gaaaaaaaaacgdd aaad gaaaaaaaaaaaaaacgdd caag caagdgcaaaaaaaaaaaa gaac caad dgccaaaaaa daaa caad dggca aaad aaad caag aaad gaac aaa daaadaaa aaacaaa gaaaaac ``` <!-- end of image --> Area A contains 1 intersection. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#29c75fff b,#da985fff c,#65d489ff d,#dbf1deff e,#cc6f21ff f,#eccaadff g,#a0e6b8ff ``` ```image cd daaaa gaaacca gaaag dad caaad ac daaac aa aaag ga ag ag aa ca da ac aa ca ad ac aa ga ag aa ca dad ac aa ga ag aa aa ga ag aa ca dad ac aa ga ag beb aa feeeeeb ca deeeef beb da beeeb beb ac eeef beb aa b beb ca beb ad beb ac beb aa beb ga beb ag beb aa beb ca beb dad beb ac bebaa beca beag baa aab daebffffdd aceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbffffffdd aa ddffffffbbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeef ca ddf dad ac aa ga ag aa ca dad ac daagd aa caaaaaaacd ga ca dgaaaaaaacd adaa gcaaaaaacg acaa gcaaaaaacg aaaa dcaaaaaaagd gaac dcaaaaaaagd aac dgaaaaaaacd aag gcaaaaaacd cad gcaad dad ``` <!-- 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,#10a945ff b,#2cedfdff c,#91cb96ff d,#76f1f8ff e,#4dbd71ff f,#b0d8b2ff g,#cef6f2ff ``` ```image gfee g aaaaaaaaf bbd aaecg aa dbbd ae gbbb eag bbbg aa dbbd fac gbbb aa bbbg aa dbbd eag gbbb aa bbbg gac dbbd aa gbbb aa bbbg cag dbbd aa gbbb gae bbbg aa dbbd aa gbbb cfeacffffffffffffffffffc bbb cffaaffffffffffffffffffc dbbg cffcaefffffffffffffffffc gbbd cfffaafffffffffffffffffc bbb cffffaaffffffffffffffffc bbbg cffffeacfffffffffffffffcdbbd cfffffaafffffffffffffffbbb cffffffaaffffffffffffbbbg cffffffeaffffffffffdbbbc cfffffffaaffffffffbbbffc cfffffffcaefffffbbbffffc cffffffffaafffdbbdfffffc cfffffffffaafbbbfffffffc cfffffffffeabbfffffffffc cffffffffdbaaffffffffffc cfffffffbbbcaefffffffffc cfffffbbbfffaafffffffffc cfffdbbdfffffaaffffffffc cffbbbfffffffeacfffffffc cbbbffffffffffaafffffffc dbbdfffffffffffcaeffffffc gbbbffffffffffffffaaffffffc bbbgcfffffffffffffffaafffffc dbbd cfffffffffffffffeacffffc gbbb cffffffffffffffffaaffffc bbb cffffffffffffffffcaefffc dbbd cfffffffffffffffffaafffc bb cffffffffffffffffffaaffc bd fcccccccccccccccccceaecf bg aa gb ae db eag bb aa bb fac bd aa bd ae gbg eag db aa db fac bb aa bb aa bd eag bg aa gb gac db aa bb aa bb caf bd aa bd gae gbg aa db aa db caf bb aa bb gae bd ea dg aa faf aa aaeeccffg eaaaaaaaaaaaaaaaaaaaeeccfgg ggfcceeaaaaaaaaaaaaf g ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#0fa944ff b,#2eeefdff c,#66c889ff d,#83f4feff e,#33b865ff f,#a4deb8ff g,#d2f5efff ``` ```image caaag gaaac faaaf eaae faaac caaag gaaae faaaf eaae gaaac caaag gaaae faaaf eaaa gaaac d caaag dbb aaae gbbbb faaaf gdbbbbb eaaag dbbbbbdg gaaac gbbbbbbg caaaf gdbbbbbd eaae dbbbbbdg faaaf gbbbbbbg caaag gdbbbbbd gaaac dbbbbbdg caaaf gbbbbbbg eaae gdbbbbbd faaacbbbbbd caaabbbbg gbaaaebd dbbeaaaf dbbbbbeaae gbbbbbbdfaaac dbbbbbd caaag dbbbbbbg gaaae gbbbbbbd faaaf dbbbbbd eaaa dbbbbbbg gaaac gbbbbbbg caaag dbbbbbd aaae dbbbbbdg faaaf gbbbbbbg eaaag bbbbbd gaaac bbbdg caaag bbg eaae d faaaf eaaag gaaac caaaf eaae faaaf caaag gaaac faaaf eaae faaac caaag gaaae ``` <!-- end of image --> I can confirm that 1 intersection exists in area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#10a944ff b,#2ceefdff c,#85d39fff d,#7ef4feff e,#4abe72ff f,#b6e4c6ff g,#d3f8f5ff ``` ```image gcee g aaaaaaaac bbd aaecg aa dbbd ae gbbb eag bbbg aa dbbd fac gbbb aa bbbg aa dbbd eag gbbb aa bbbg fac dbbd aa gbbb aa bbbg caf dbbd aa gbbb gae bbbg aa dbbd aa gbbb caf bbb aa dbbd gae dbbb ea bbb aa bbbg caf dbbd aa gbbb ae bbbg eag dbbd aa gbbb fac bbbg aa dbbd aagbbb eabbg dbaa gbbbfac bbbg aa dbbd aa gbbb caf bbbg aa dbbd gae gbbb aa bbbg aa dbbd caf gbbb aa bbbg gae dbbd ea bb aa bd caf bg aa gb gae db eag bb aa bb fac bd aa bd ae gbg eag db aa db fac bb aa bb aa bd eag bg aa gb fac db aa bb aa bb caf bd aa bd gae gbg aa db aa db caf bb aa bb gae bd ea dg aa fac aa aaeeccffg eaaaaaaaaaaaaaaaaaaaeeccffg gffcceeaaaaaaaaaaaaf g ``` <!-- end of image -->
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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,#cb3d0fff b,#05fdcaff c,#ecbaaaff d,#4cf9d3ff e,#d37a57ff f,#afd6afff g,#a7fdecff ``` ```image caaaaaeeccc aaaaaaaaaaaaaaaaaaaaeeccc eaa ccceeaaaaaaaaaaaaaaaaaaaaaaaaaaeeecc aac cceeaaaaaaaaaaaaaaaaaaaaaaaaaaaeecc eaa cceeeaaaaaaaaaaaaaaaaaaaaaa aa ccceeaaaaaaae aaa caa aae caa aac eaa aa aaa aa aae caa aac eaa aac aaa ffffffffffffffaaffff fffffffffffffaaaffff ffffffffffffeaafffff ffffffffffffaaefffff fffffffffffeaaffffff fffffffffffaafffffff ffffffffffaaafffffff ffffffffffaaffffffff fffdfffffaaaffffffff fffbbffffaafffffffff ffdbbbdfaaefffffffff ffffbbbbaaffffffffff ffffffbbbdffffffffff ffffffabbbbfffffffff ffffffaafbbbbfffffff fffffaaaffbbbbffffff fffffaafffffbbbbffff ffffaaeffffffdbbbfff fffeaafffffffffbbbbf fffaaeffffffffffdbbbg ffeaafffffffffffffbbbb fffefffffffffffffffdbbbg ffffffffffffffffffff bbbb ffffffffffffffffffff gbbbg ffffffffffffffffffff bbbb ffffffffffffffffffff gbbbd bbbb gbbbd bbbb gbbbd dbbb gbbbd dbbbg bbbd dbbbg bbbb dbbbg bbbb dbbbg bbbb gbbbg bbbb gbbbd bbbb gbbbd bbbb gbbbd dbbb gbbbd dbbbg bbbd dbbbg bbbb dbbbg bbbb dbbbg bbbbdg gbbbbbbbdg gdbbbbbb gdd ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#cb3d0fff b,#06fdcbff c,#e59f88ff d,#53f9d5ff e,#cc6e4aff f,#f3d5ccff g,#aefcecff ``` ```image aaaaaf caaaac faaaaa eaaaac faaaae eaaaaf faaaae aaaaaf caaaac aaaaa caaaac faaaae eaaaaf faaaae eaaaaf caaaac aaaaa caaaac g faaaae dbbg eaaaaf gbbbbd faaaae dbbbbbbg eaaaaf gbbbbbbbd caaaac dbbbbbbbgaaaaa gbbbbbbbdaaac dbbbbbbbea gbbbbbbbd dbbbbbbbg eebbbbbbbd caaaebbbbbbbg aaaaagdbbbbbbdg caaaac gbbbbbbbg faaaaa gdbbbbbbdg eaaaac gbbbbbbbd faaaae dbbbbbbbg eaaaaf gbbbbbbbd faaaae dbbbbbbbg aaaaaf gbbbbbbbd caaaac dbbbbbbbg aaaaa gbbbbbbb caaaac dbbbbb faaaae gbbbb eaaaaf dbb caaae gb caf ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#cb3c0eff b,#06fdcbff c,#e49c86ff d,#5bfddcff e,#d76a47ff f,#f2d0c5ff g,#bafdefff ``` ```image faaaaaeccff aaaaaaaaaaaaaaaaaaaaeeccf caa ffcceaaaaaaaaaaaaaaaaaaaaaaaaaaeeccff aaf ffcceeaaaaaaaaaaaaaaaaaaaaaaaaaeeccff eaa fcceeaaaaaaaaaaaaaaaaaaaaaa aa ffceeaaaaaaae aaa faa aae caa aac eaa aaf aaa faa aae caa aac eaa aaf aaa aa aae faa aac caa aaf eaa aa d aae gbb faa gbbbd aac bbbbaa gbbbd ebbbbg aagbbbd aaa dbbbg faa gbbbb aae dbbbg caa bbbb aac dbbbg eaa bbbb cf dbbbg bbbb dbbbd bbbb gbbbd bbbb gbbbd bbbb gbbbd bbbbg gbbbd dbbbg gbbbb dbbbg bbbb dbbbg bbbb dbbbg bbbb dbbbd bbbb gbbbd bbbb gbbbd bbbb gbbbd bbbbg gbbbd dbbbg gbbbb dbbbg bbbb dbbbg bbbb dbbbg bbbbdg dbbbbbbbdg gdbbbbbb gdd ``` <!-- end of image -->
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Here's an image. My task is to find intersections or areas where lines come close together. 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,#199615ff b,#4c228eff c,#8ec78eff d,#8a75b2ff e,#4dac4bff f,#b0d7b0ff g,#d0d3daff ``` ```image ccccccccccccccccccccccc fffffffffffffefffffffff fbfffffffffffaaafffffff bbbfffffffffcacaacfffff bdbbffffffffeaffeaaffff fbffbbfffffffaaffffaaeff bbfffbbcfffffacfffffcaac bcffffbbcffffaffffffffaaa dbffffffbbdffeafffffffffcaae bdfffffffdbdfaaffffffffff caag gb ffffffffdbdaeffffffffff aaa bb fffffffffdbbfffffffffff gaac bg ffffffffffebbffffffffff caag db ffffffffffaabbfffffffff aaa bd ffffffffffaefbbffffffff faac gb ffffffffffacffbbfffffff eaa bb fffffffffcaffffbbffffff aae bg fffffffffeafffffbbfffff faaf db fffffffffaeffffffbbffff eaa bd fffffffffacfffffffbbfff aae gb ffffffffcafffffffffbbcf caaf bb ffffffffeaffffffffffbbd eaa bd ffffffffaafffffffffffbbd gaae db ffffffffacffffffffffffdbd caag bb ccccccccaccccccccccccccdbd aaa b ca gbb gaac bb aa gbb caag bd ac gbb aaa a bb faac ca bb eaa ae bb aae ag bb faaf ca bb eaa aa bbg aae af bbg caaf ga bbg eaa ea dbd gaac ac dbd c a dbd ea gbb ae gbb ag gbb ca bb aa bb af bb fa bb aa bbg ac bbg ga bbg ea dbd ae dbd a dbd ca gbb ae gbb ag gbb ca bb aa bb af bb ga bb ea bb ac bbg a bbg ea bbg ae dbd ag dbd ca dbd aa gbb af gbd fa aa ac ga ea ae a ca ae ag fa aa ac ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1a9616ff b,#491f8cff c,#a0d39eff d,#a490c5ff e,#5fb65dff f,#6f4ea4ff g,#d9dce0ff ``` ```image eeg caaac fbd eaaaaeg dbbbd aaaaaaae fbbbbd gaaecaaaaac gbbbbbbf caae eaaaaeg dbbddbbbf eaac geaaaae bbbg dbbbf aaag caaaaac bbf dbbbfg gaaa eaaaaeg bbd gbbbfg caae geaaaac bb gbbbbg eaac caaaaac bd gbbbbg eaag geaaaa bg gfbbbg aaa gaaa f gfbbbg caae ca d fbbbd caac g fbbbd eaag fbbbd aaa fbbbd gaae dbbbfcaac dbbbbaac dbbbba dbbbb dbbbfg eabbbbg aaabbbbg gaaagbbbbg caae gfbbbg eaac gfbbbd eaag fbbbd aaa fbbbd caae fbbbd caac dbbbd eaag dbbbf aaa dbbbf gaae dbbbf caac dbbbfg eaac gbbbfg aaa gbbbbg gaae gbbbbg caae gfbbbg eaac gfbbbg aaag fbbb gaaa fbb caae fb eaac f ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#199615ff b,#4a208dff c,#94cd93ff d,#ae9bccff e,#51b04eff f,#795aaaff g,#d6dfdcff ``` ```image cg b aae fbb gacaac bdbb ea eaa db bbg aa aae bb bbg ac caac bg bbg a eaa fb fbd ca gaae bf fbd aa caag gb fbfac aaa bb dbb gaac bg cbf eaag fb aabb aaa bf aegbb gaac gb ag bb eaag bb ga bb aae bd ea bb caac db ae bb eaa bf ag bbg aae gb ga bbg caac bb ea fbd eaa bd aa fbd gaae db ac fbf caag bb a dbf aaa bg ca dbf gaac fb aa gbb eaag bd ac gbb aaa a gbb gaac ca bb eaag ae bb aae ag bb caac ca bbg eaa aa bbg aae ac bbg caag ga fbd eaa ea fbd gaac ac fbf c a dbf ea dbf ae gbb ag gbb ca bb aa bb ac bb ca bb aa bbg ac bbg ga fbd ea fbd ae fbf a dbf ca dbf ae gbb ag gbb ca gbb aa bb ac bb ga bb ea bb ac bbg a bbg ea fbd ae fbd ag fbf ca dbf aa dbf ac gbd ca aa ac ga ea ae a ca ae ag ca aa ac ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#38a6e2ff b,#095cbdff c,#aed6f0ff d,#72b8e0ff e,#eaf3f3ff f,#4b89c6ff g,#afd6b0ff ``` ```image c aad fbbe aaa bbb aaac cbbd aaaa bbb aaaa bbb aaaad dbbc eaaaaa bbb eaadaac ebbf caa aaa fbb caa daa bbb daa eaad cbbd daa aaa bbb aaa caac bbb aaa aaa fbbe aaa daae bbb aaa aad ebbd aaa aaa bbb aaa caac bbb aad eeeeaaaeeeeeeeeeeeeeeee dbbc aadeggggaaagggggggggggggggge bbb aacegggggaaaggggggggggggggge ebbbf eaacegggggaaaggggggggggggggge fbbbb eaaeegggggdaadgggggggggggggge cbbbbf caaeeggggggaaagggggggggggggge cbbbbbe caa eggggggdaagggggggggggggge dbbbbbf daa egggggggaaaggggggggggggge dbbbbbf daa egggggggaaaggggggggggggge dbbbbbf aaa eggggggggaadggfggggggggge fbbbbbd aaa eggggggggaaagbbbbfgggggge fbbbbbd aaa eggggggggdaabbbbbbbbfggge fbbbbbd aaa egggggggggaabbbbbbbbbbbfe fbbbbbc aaa egggggggggabbbggggbbbbbbbbfe fbbbbbc aaa egggggggggdbbbgggggggfbbbbbbbfe bbbbbbc aad egggggggggbbbaggggggggggfbbbbbbbfe ebbbbbbc aad egggggggggbbbagggggggggge fbbbbbbbbcebbbbbbe aac eggggggggbbbaaaggggggggge dbbbbbbbbbbbe c aac egggggggdbbbaaaggggggggge dbbbbbbe caa eaae egggggggbbbggaadgggggggge dfe aaa caae eggggggdbbfggaaagggggggge aaac caa eggggggbbbgggdaagggggggge caaa daa egggggdbbfggggaaaggggggge aaa daa egggggbbbgggggaaaggggggge aaac daa eggggfbbfggggggaadgggggge caaa aaa eggggbbbgggggggaaagggggge aaa egggfbbfgggggggdaagggggge aaac egggbbbgggggggggaaaggggge caaa eggfbbfgggggggggaaaggggge aaa eebbbeeeeeeeeeeeaadeeee aaac fbbd aaad caaa bbb aaad aaa fbbc eaaac aaac bbb eaaac caaa fbbc eaaae aaa bbb caaae aaac fbbc caaae caaa bbb daaa aaa fbbc daaa aaad bbb daaa eaaa bbbe aaaa aaa ebbb aaaa daad bbbe aaaa eaaa ebbb aaaa aaae bbbe aaad daad dbb aaad eaaa e aaad aaae eaaac daad eaaac eaaa eaaac aaae caaae daad caaae eaaa caaae aaae daaa daad daaa eaaa daaa aaae aaaa daad aaaa aaa aaaa aaae aaaaaaa aaaaa aaac ad ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#37a6e3ff b,#085cbdff c,#bbdaf1ff d,#6daee1ff e,#e0eef8ff f,#337dcaff g,#90c5eaff ``` ```image gaaaaac eaaaaag daaaaae caaaaag aaaaaa gaaaaac eaaaaad daaaaae caaaaag aaaaaa gaaaaac eaaaaad daaaaae caaaaag aaaaaa gaaaaac eaaaaad daaaaae caaaaag cdge aaaaaa gbbbbfde gaaaaacebbbbbbbbfdc eaaaaaddbbbbbbbbbbbfdc daaaaabbbbbbbbbbbbbbbfdc caaaafbbbbbbbbbbbbbbbbbbbdc aaaabbbbbbdfbbbbbbbbbbbbbbb gaafbbbbbd cdfbbbbbbbbbbbb eaabbbbbb edfbbbbbbbbb gfbbbbbg egfbbbbbb cbbbbbb egfbbb dbbbbbf egf ebbbbbbac fbbbbbfad cbbbbbbaaae fbbbbbfaaag cbbbbbbaaaaa fbbbbbdaaaaac cbbbbbfeaaaaad fbbbbbc gaaaaae cbbbbbf eaaaaag fbbbbbc daaaaa cbbbbbf caaaaac fbbbbbc aaaaad gbbbbbf gaaaaae fbbbbbc eaaaaag gbbbbbf daaaaa fbbbbbc caaaaac gbbbbbd aaaaad fbbbbbe gaaaaae gbbbbbd eaaaaag bbbbbbe daaaaa gbbbbbd caaaaac ebbbbbbe aaaaad dbbbbbd gaaaaac ebbbbbbe eaaaaag dbbbbbd daaaaae ebbbbbbe caaaaag ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#37a6e3ff b,#095cbdff c,#b2d8f1ff d,#64afe2ff e,#dcecf8ff f,#4584cdff g,#88c2e9ff ``` ```image c aag fbb aaa bbb aaac cbbd aaaa bbb aaaa bbb aaaad dbbc eaaaaa bbb eaagaac ebbf caa aaa fbb gaa daa bbb gaa aad cbbg daa aaa bbb aaa caac bbb aaa aaa fbbe aaa daa bbb aaa aad ebbd aaa aaa bbb aad caac bbb aad aaa gbbc aag daae bbb aac aad ebbbf aac aaa fbbbb eaae caac cbbbbf caa aaa gbbbbbe caa daae gbbbbbf gaa aaa gbbbbbf daa aaa dbbbbbd daa caag cg dbbbbbd aaa aaaebbbbd fbbbbbg aaa gaabbbbbbbbd fbbbbbg aaa aabbbfbbbbbbbf fbbbbbg aaa abbb efbbbbbbbfe fbbbbbc aaa cbbb efbbbbbbbfe bbbbbbc aad bbba efbbbbbbbfe bbbbbbc aag ebbbae dbbbbbbbbcebbbbbbe aag bbbaaa dbbbbbbbbbbbe c aac cbbfaaa dbbbbbbe gaa eaae bbb eaag gf aaa caae cbbf aaa aaac caa bbb gaae caaa gaa gbbf aaa aaa gaa bbb aaa aaac daa gbbd eaag caaa daa bbb aaa aaa gbbd gaae aaac bbb aaa caaa dbbd aaa aaa bbb eaad aaac dbbg aaad caaa bbb aaag aaa fbbg aaac aaac bbb eaaac caaa fbbc eaaae aaa bbb caaae aaag fbbc caaae eaaa bbb gaaa aaa fbbc gaaa daag bbb daaa eaaa bbbe daaa aaa bbb aaaa daag bbbe aaaa eaaa ebbb aaaa aaa bbbe aaad daag dbb aaad eaaa aaag aaae aaag daad eaaac eaaa eaaac aaae caaae daad caaae eaaa gaaa aaae gaaa gaad daaa aaa daaa aaae aaaa gaad aaaa aaa aaaa aaae aaaaaad aaaaa aaae ag ``` <!-- end of image -->
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This image seems promising for intersection detection. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#bd8602ff b,#df8379ff c,#eabdadff d,#c6a03cff e,#f2f1e9ff f,#c7b983ff g,#afd6afff ``` ```image be bbbe bbbb bbbb eeebbbbeeeeeeeeeeeeeeee eggggbbbfggggggggggggggge eggggfbbbggggggggggggggge egggggbbbfggggggggdagggge egggggfbbbgggggggdaaafgge eggggggbbbggggggfaaaaadge eggggggfbbbgggggaaaaaaaae egggggggbbbggggaaaagaaaaa egggggggbbbbggaaaagggdaaaae eggggggggbbbgaaaagggggfaaaac eggggggggbbbdaaafgggggggaaaad egggggggggbdaaadggggggggeaaaaa egggggggggbaaaaggggggggge daaaa egggggggggaaaagggggggggge faaaae eggggggggaaaabfggggggggge eaaaaf egggggggaaaabbbggggggggge aaaad eggggggdaaafbbbggggggggge aaaaa egggggfaaadgfbbbgggggggge daaaae egggggaaaagggbbbgggggggge caaaac eggggaaaaggggbbbbggggggge eaaaad egggaaaaggggggbbbggggggge aaaaa eggaaaagggggggbbbfgggggge daaaa egdaaafggggggggbbbgggggge faaaae efaaadgggggggggbbbfggggge eaaaaf egfaaggggggggggfbbbggggge aaaad egggggggggggggggbbbfgggge aaaaa eeeeeeeeeeeeeeecbbbeeee daaaae bbbe caaaac cbbb eaaaad bbb aaaaa bbbb daaaa bbb faaaae bbbc eaaaaf ebbb aaaad bbbc aaaaa ebbb daaaae bbbe caaaac cbbb eaaaad bbbe aaaaa cbbb daaaa bbb faaaae bbbb eaaaaf bbb aaaad bbbc aaaaa ebbb daaaae bbbc caaaac ebbb eaaaad bbbe aaaaa cbbb daaaa bbbe faaaac cbbb eaaaaf bbb aaaad bbbb aaaaa bbb daaaae bbbc caaaac ebbb eaaaad bbbc aaaad ebbb daa bbbe f cbbb bbbe cbbb bbb bbbb bbb bbbc ebbbbbbce bbbbbbbbbbbce cbbbbbbbbbbbbbbce ecbbbbbbbbbbbbbbc ecbbbbbbbbbbbbbcc ecbbbbbbbbbbbbbce cbbbbbbbbbbbbbbce cbbbbbbbbbbbbbbce ecbbbbbbbbbbbbbbc ecbbbbbbbbbbbbbe ecbbbbbbbb ccbbb ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#bd8602ff b,#de8278ff c,#eccbb4ff d,#ca9a36ff e,#f6e8ddff f,#dabc75ff g,#e59d96ff ``` ```image gbbbbbbb gbbbbbbc ebbbbbbb ebbbbbbc gbbbbbg cbbbbbbe efaaf bbbbbbg daaaade cbbbbbbe daaaaaade bbbbbbg faaaaaaaaac cbbbbbbe caaaaaaaaaaaf ebbbbbbc caaaaaaaaaaaaad gbbbbbb eaaaaaaaaaaaaaaad ebbbbbbc daaaaaaafaaaaaaaa gbbbbbb daaaaaaac caaaaaaa ebbbbbbc faaaaaaac edaaaaa gbbbbbg caaaaaaaf edaaaa cbbbbbbe eaaaaaaad faaa bbbbbbg eaaaaaaad caa cbbbbbbedaaaaaaae ea bbbbbbdaaaaaaac e cbbbbdaaaaaaaf ebbbdaaaaaaaf gbbaaaaaaad ebaaaaaaade daaaaaaae faaaaaaaf faaaaaaadg caaaaaaadbbe eaaaaaaaabbbg edaaaaaaabbbbbe daaaaaaabbbbbbg faaaaaaaccbbbbbbe faaaaaaaf ebbbbbbc caaaaaaaf gbbbbbb eaaaaaaad ebbbbbbc edaaaaaaae gbbbbbb daaaaaaae ebbbbbbc faaaaaaac gbbbbbg caaaaaaaf cbbbbbbe caaaaaaad bbbbbbg eaaaaaaad cbbbbbbe daaaaaaae bbbbbbg daaaaaaae cbbbbbbe faaaaaaac ebbbbbbc caaaaaaaf gbbbbbb eaaaaaaad ebbbbbbc faaaaad gbbbbbb caaaae ebbbbbbc edac gbbbbbg ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#bd8602ff b,#df8278ff c,#ebc9b1ff d,#cb9e38ff e,#f6e6deff f,#d9ba6fff g,#e69f98ff ``` ```image be bbb bbbb bbbb bbbb bbbc ebbb bbbe fa cbbb daaae bbbe caaaaaf gbbb eaaaaaaad bbb aaaa aaaaa gbbg aaaa daaaae bbb aaaa caaaac bbbdaaac eaaaad ebdaaaf aaaaa baaad daaaa aaaa faaaae aaaabe eaaaaf daaabbb aaaad faaacbbbe aaaaa caaaf gbbb daaaae eaaaa bbb caaaac aaaa gbbg eaaaad aaaa bbb aaaaa daaae bbbg daaaa faaac ebbb faaaae eaaad bbbc eaaaaf caa ebbb aaaad e bbbe aaaaa cbbb daaaae bbbe caaaac gbbb eaaaad bbb aaaaa gbbg daaaa bbb faaaae bbbg eaaaaf ebbb aaaad bbbc aaaaa ebbb daaaae bbbe caaaac cbbb eaaaad bbbe aaaaa gbbb daaaa bbb faaaae gbbg eaaaaf bbb aaaad bbbg aaaaa ebbb daaaae bbbc caaaac ebbb eaaaad bbbe aaaaa cbbb daaaa bbbe faaaac gbbb eaaaaf bbb aaaad gbbg aaaaa bbb faaaae bbbg caaaac ebbb aaaad bbbc aaaad ebbb daa bbbe f cbbb bbbe gbbb bbb gbbg bbb bbbg ebbbbbbge bbbbbbbbbbbce cbbbbbbbbbbbbbbc ecbbbbbbbbbbbbbgc egbbbbbbbbbbbbbge egbbbbbbbbbbbbbge cgbbbbbbbbbbbbbce cbbbbbbbbbbbbbbce ecbbbbbbbbbbbbbbc ecbbbbbbbbbbbbbe egbbbbbbbb egbbb ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for 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,#c024e4ff b,#c0f5b4ff c,#c976deff d,#ecf7eaff e,#b2d7b2ff f,#a1cfa1ff g,#ebbaf6ff ``` ```image dbd bb bbb bb dbb bb dbb bbd dbb bbd ag bb aac bbb gaa bb aad dbb aaa bb daa dbb aag bbd caa dbb aa bbd aag bb caa bbb aa bb aac dbb gaa bb aa dbb aac bbd gaa dbb aag bbd caa bb aa bbb aag bb caa bbb aa bb aac dbb gaa bbd aa dbb aac bbd gaa bb aag bbb caa bb aa bbb aag bb caa dbb aa bbd aac dbb gaa bbd aa bb aac bbb gaa b bb aag bbb bbb caa dbbb bb aa bbbd dbb aag dbbb bbd caa bbbb ddbbddddddddddddddddddd aa bbbd fffbbeffffffffffffffffffaac dbbb feeebbeeeeeeeeeeeeeeeeecaa bbbd feeebbbeeeeeeeeeeeeeeeeaa bbb feeeebbeeeeeeeeeeeeeeeaac dbbb feeeebbbeeeeeeeeeeeeeeaad bbbd feeeeebbeeeeeeeeeeeeeaafd dbbb feeeeeebbeeeeeeeeeeeaaafd bbbb feeeeeebbeeeeeeeeecaacefd bbbd feeeeeeebbeeeeeeeaaaeeefd dbbb feeeeeeebbeeeeeeaaaeeeefd bbbd feeeeeeeebbeeeeaaaeeeeefd bbb feeeeeeeebbbecaaaeeeeeefd dbbb feeeeeeeeebbcaaceeeeeeefd bbbd aa feeeeeeeeebbeaeeeeeeeeefddbbb gaaaa feeeeeeeeeabbeeeeeeeeeefbbbb caaaa feeeeeeeeaacbbeeeeeeeeebbbd gaaaa feeeeeecaaaebbeeeeeeeebbb gaaaa feeeeecaaceeebbeeeeebbbed gaaaad feeeeaaaeeeeebbeeeebbbefd gaaaag feeeaaaeeeeeeebbebbbbeefd gaaaag feeaaaeeeeeeeebbbbbeeeefd gaaaag fcaaceeeeeeeeeebbbeeeeefd daaaag caaceeeeeeeeeeeebeeeeeefd daaaag aaaeeeeeeeeeeeeeeeeeeeeefd aaaaaaaeeeeeeeeeeeeeeeeeeeeeefd aaaafeeeeeeeeeeeeeeeeeeeeeefd g feeeeeeeeeeeeeeeeeeeeeefd feeeeeeeeeeeeeeeeeeeeeefd ffffffffffffffffffffffffd ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#c022e5ff b,#bff5b3ff c,#db8ceeff d,#d5f8cdff e,#efc9f7ff f,#cd56e9ff g,#ebfbe7ff ``` ```image dbbbb bbbbg dbbbb bbbbd gbbbb e bbbbd f gbbbbg ea dbbbd aa gbbbbg caa dbbbb eaaa bbbbg faaa dbbbb faaaa bbbbd efaaaac gbbbb eaaaaaf bbbbd caaaaaf gbbbbg caaaaac dbbbd faaaaae gbbbbg efaaaaae dbbbb eaaaaaf bbbbg caaaaaf dbbbb caaaaac bbbbd faaaaae gbbbb eaaaaaae bbbbd eaaaaaf gbbbbg caaaaaf dbbbdcaaaaac gbbbbfaaaae dbbbbaaae ebbbbff cacbbbb faaabbbbd faaaacbbbb d eaaaaafebbbbd gbb eaaaaaf gbbbbg gbbb caaaaac dbbbd dbbbb faaaaac gbbbbg gbbbbbb faaaaae dbbbb dbbbbbbg eaaaaafe bbbbg dbbbbbd eaaaaaf dbbbb gbbbbbbg caaaaac bbbbd dbbbbbbg faaaaac gbbbbgbbbbbbd efaaaaae bbbbbbbbbbg eaaaaafe gbbbbbbbd eaaaaaf dbbbbbd caaaaac gbbbbg faaaaac gdd aaaaae aaafe aaf ac c ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c022e5ff b,#c0f5b3ff c,#d980eeff d,#ddf9d7ff e,#f4dcfaff f,#cc4fe9ff g,#e8b0f5ff ``` ```image bd bb bbd bb dbb bb dbb bb bb bbd ag bb aac bbd gaa bb aae dbb faf bb eaa dbb aag bb caa bb aa bbd aag bb caa bbd aa bb aac dbb gaa bb aae dbb faf bb eaa bb aae bbd faa bb aa bbd aag bb caa dbb aa bb aac dbb gaa bb aae bb faf bbd eaa bb aae bbd faf bb eaa dbb aag bb caa dbb aa bb aac bb gaa bbd aa bb aaf bbd eaa b bb aae bbb dbb faf dbbb bb eaa bbbd dbb aag bbb bb caa dbbb bb aa bbb bbd aac dbbb bb gaa bbbd bbd aa bbb bb aac dbbb dbb gaa bbbd bb aae bbb dbb gaaf bbbd bb caac bbb bb faae dbbb bbd aaa bbbd bb eaaa bbb bbd gaaf dbbb bbcaac bbbd af dbbae bbb gaaaf abb bbbd caaaa eaacbb bbb caaaa gaaf bb dbbb gaaaae caag bb bbbd gaaaae aaae bbd bbb gaaaae aaa bb dbbb gaaaae eaaa bbbbbd eaaaag gaaf bbb eaaaag faag dd eaaaag aaae eaaaaaaa aaaa g ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. 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,#8f9190ff b,#c21352ff c,#cf688aff d,#98c698ff e,#63646cff f,#ddc6d0ff g,#b1d7b1ff ``` ```image a g g a e cbc e b bb e b bb a c cbf ff ff cbf a b fbc e b fbc e b bb gggggeggggggdcggggggd bb gggggeggggggcgggggggd cbf gggggaggggggbgggggggd cbf ggggggagggggbgggggggd fbc ggggggegggggbgggggggd fbc f ggggggeggggaagggggggd bb bbf ggggggeggggbggggggggd bb cbc ggggggeggggbggggggggd cbf fbbf ggggggaggggbggggggggd cbf cbc ggggggddgggcggggggggd fbc fbb gggggggaggcgggggggggd fbc cbf gggggggeggbgggggggggd bb fbc gggggggeggbgggggggggd bb bbf gggggggeggbgggggggggd cc gggggggagaagggggggggd gggggggadcggggggggggd ggggggggabggggggggggd ggggggggebggggggggggd ggggggggecggggggggggd ggggggggedggggggggggd ggggggggbgggggggggggd ggggggggbgggggggggggd ggggggggbdggggggggggd gggggggdcaggggggggggd gggggggcgeggggggggggd gggggggbgeggggggggggd gggggggbgeggggggggggd gggggggcgaggggggggggd ggggggadgddgggggggggd ggggggbgggagggggggggd ggggggbgggegggggggggd ggggggbgggegggggggggd ggggggcgggegggggggggd gggggcggggegggggggggd gggggbggggagggggggggd gggggbggggdaggggggggd gggggbgggggeggggggggd ggggaaggggggegggggggd ddddbdddddddaaddddddg b e b e c af c e b a a e fa e e aef e fea fe aef ga fea aa aef ag fea ef aef ef fea e aef e fea e aef e fea fe aef fa fea da aef ad gea af aef ef ge ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#8e8e94ff b,#c10a4dff c,#e496b2ff d,#d35180ff e,#64616bff f,#e8d8dfff g,#b9babeff ``` ```image gef db feg bd eg fbc ea cbf aa db ae dd gef bd fef fbc feg cbf ea db aa bd ae fbc ge cbf gef cb feg dd eg bd ea fbc aa cbf ge db gef bd fef bc eg fbc ea cb aa db ae bd ge fbc gef cbf feg db eg dd ea bc ae fbc ge cbf gef db feg bd egfbc eacbf aadb aedd gebd febc febf bb bb be cbe cbef dbeg bdeg fbcea cbfaa db ae bd ge bc fef fbc feg cb ea db aa bd ae fbc ge cbf gef db feg dd eg bd ea fbc aa cbf ae db gef bd fef fbc feg cbf ea cb aa dd ae bd ge fbc gef cbf feg db aef bd fea bc geg fbf aef ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#8c8d93ff b,#c1084cff c,#e392b0ff d,#d24a7bff e,#63626cff f,#e7d6ddff g,#bfbfc3ff ``` ```image a g fg a e dbd e b bd e b dbf a d dbf ff cf cbc a d cbc e b fbd e b bd e fc db a c dbf gf b cbc fg b cbc a d fbd c e cf bd dbf e d db cbd e b dbf fbbf a b cbc dbc fg c cbc fbd a c fbd dbc e b bd cbd e b db dbf e d dd a fc gfd gb ab ed ef b b bg fca d e b e b e d a cf gf d g b a b e fc e c a b g b fg d e ff e d gg b e b e c af cf e b fa a e fa e e aeg fe fea fe aeg ga fea aa aeg ag gea eg aeg ef gea e aeg e gea e aef fe gea fe aef ga gea ga aef ag gea ag aef ef gef ``` <!-- 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,#9a752eff b,#efbcfdff c,#b1d7b1ff d,#d1caccff e,#ae9f6cff f,#f3eff4ff g,#98c895ff ``` ```image bb bbb bbbb fcd bbb deeaaaaaaaf bbbb fdeaaaaaaaaaaaaaaae bbb deaaaaaaaaaaaaaaaaaaaaaaafffffffffff bbbb eaaaaaaaaaaaaaaaecf fgcaaaccccccccccg bbbf eaaaaaaaaaedf fccaaaccccccccccg bbbb eaaaad fccaaaecccccccccg bbbf eaaaa fcceaaacccccccccg cgdbbbggggggggggggggggggeaaaa fcccaaacccccccccg gccbbbdcccccccccccccccceaaaa fcccaaacccccccccg gccdbbbccccccccccccccceaaaa fcccaaagccccccccg gcccbbbbcccccccccccccaaaaa fcccaaaeccccccccg gcccdbbbccccccccccccaaaaa fcbbdaaaccccccccg gccccbbbbccccccccccaaaaaf fbbbbaaaccccccccg gcccccbbbcccccccccaaaaacf fbbbbaaaccccccccg gcccccbbbbcccccccaaaaaccf fbbbbaaagcccccccg gccccccbbbccccccaaaaacccf fbbbbeaaecccccccg gccccccbbbbccccaaaaaccccf fbbbbgaaacccccccg gcccccccbbbdccaaaaacccccf fbbbbcaaacccccccg gcccccccdbbbcaaaaaccccccf bbbbbcaaacccccccg gccccccccbbbeaaaecccccccf bbbbbdaaaeccccccg gccccccccdbbbaaeccccccccf bbbbbdeaaaccccccg gcccccccccbbbdecccccccccf bbbbbdcaaaccccccg gccccccccaebbbccccccccccf fbbbbbbcaaaccccccg gcccccccaaabbbbcccccccccf bbbbbbbcaaagcccccg gccccccaaaaebbbcccccccccf bbbdbbbcaaaecccccg gcccccaaaaecbbbbccccccccf bbbcbbbcgaaacccccg gccccaaaaecccbbbccccccccf bbbcbbbccaaacccccg gcccaaaaeccccbbbbcccccccf fbbbcbbbccaaaeccccg gccaaaaeccccccbbbdccccccf bbbdcbbbccgaaaccccg gcaaaaecccccccbbbbccccccf bbbdcbbbcccaaaecccg gaaaaecccccccccbbbdcccccf bbbccbbbccceaaacccg aaaaeccccccccccdbbbcccccf bbbccbbbdcccaaagccg aaaagccccccccccccbbbdccccf fbbbccbbbdcccaaaaccg aaaagcccccccccccccdbbbccccf fbbbccdbbbccccaaaccg aaagcccccccccccccccbbbbcccf bbbfggcbbbggggaaaagc agccccccccccccccccdbbbcccf bbb bbb faaa cgggggggggggggggggbbbbggf bbb bbb aaae bbb bbb bbb daaa bbbb fbbb bbb aaad bbbf bbbf bbb eaaa bbbb bbb bbb aaaf bbbf bbb bbb aaaa bbbb bbb bbbf faaa bbbf fbbb bbbf aaae fbbb bbbf fbbb daaa bbbb bbb fbbb aaad fbbb bbb fbbb eaaa bbbb bbb bbb aaaf bbb fbbb bbb eaaa bbbb bbbb bbb faaa bbb bbbf bbb aaae bbbb bbb bbb daaa bbbf bbb bbb aaac bbbb fbbb bbbf caaa bbbf bbbb bbbf aaaf fbbb bbbf bbbb eaaa bbbb bbb fbbb aaa fbbb bbb fbbb aaae bbbb bbb bbb faaa fbbb fbbb bbb aaae bbbb bbbf bbb fffffcaaafffffffff bbb bbb bbb fgcccccaaagcccccccc bbbb bbb bbb fcccccceaaacccccccc bbbf bbb bbb fcccccccaaacccccccc bbbb fbbb bbbf fcccccccaaaaccccccc bbbf bbbf bbbf fccccccccaaaccccccc bbbb bbb bbbb fccccccccaaaecccccc bbbfbbb fbbbf fccccccccgaaacccccc fbbbbbb fbbbbbb fcccccccccaaaeccccc bbbbbb bbbbbbbbffccccccccceaaaccccc fbbbbf bbbbbbbbdcccccccccaaaccccc bbbbf fbbbbbbbbcccccccaaaacccc bbb bbbbbbbbdcccccaaacccc bbb fbbbbbbbbcccaaaeccc fccbbbbbbbbdgaaaccc fccccdbbbbbbbdaaecc fcccccccbbbbbbbbdcc fcccccccccdbbbbbccc fccccccccccccbbbccc fccccccccccccccdccc fgggggggggggggggggg ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a742dff b,#f0bbfdff c,#cdb59bff d,#ddcfbbff e,#ad8e56ff f,#f7defeff g,#f3eee7ff ``` ```image fbbbbbbf bbbbbbb fbbbbbbf bbbbbbb e fbbbbbbf ea bbbbbbb eaa fbbbbbbb eaaa bbbbbbbf eaaaa fbbbbbbb geaaaaa fbbbbbbf geaaaaaa bbbbbbb geaaaaaaa fbbbbbbf geaaaaaaae bbbbbbb geaaaaaaaeg fbbbbbbf geaaaaaaaeg bbbbbbb geaaaaaaaeg fbbbbbbf geaaaaaaaeg bbbbbbb geaaaaaaaeg fbbbbbbb geaaaaaaaeg bbbbbbbf geaaaaaaaeg fbbbbbbb geaaaaaaaeg bbbbbbbf geaaaaaaaeg bbbbbbb gaaaaaaaaeg fbbbbbbf gaaaaaaaae bbbbbbbgaaaaaaaae fbbbbbbcaaaaaaae bbbbbbbaaaaaae fbbbbbbcaaaae bbbbbbbeaae gbbbbbbcae dabbbbbbbc daaebbbbbbb daaaadbbbbbbf daaaaaebbbbbbb daaaaaaacbbbbbbf daaaaaaaacbbbbbbb daaaaaaaac fbbbbbbf daaaaaaaac bbbbbbb daaaaaaaac fbbbbbbf daaaaaaaac bbbbbbb caaaaaaaac fbbbbbbf caaaaaaaac bbbbbbb caaaaaaaac fbbbbbbb caaaaaaaac bbbbbbbf caaaaaaaac fbbbbbbb caaaaaaaac bbbbbbbf caaaaaaaad bbbbbbb caaaaaaaad fbbbbbbf caaaaaaaad bbbbbbb aaaaaaaad fbbbbbbf aaaaaaad bbbbbbb aaaaaad fbbbbbbf aaaaad bbbbbbb aaaad fbbbbbbf aaad bbbbbbb aad fbbbbbbb ad bbbbbbbf d fbbbbbbb fbbbbbbf ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Next up, a closer look at another region. Eureka! Let's inspect this close up of area B <!-- image --> ```palette Key,Color ,#fefefeff a,#9a742dff b,#f0bbfdff c,#d7c8aeff d,#ebe3d8ff e,#ac8d53ff f,#f6dcfdff g,#c2ab81ff ``` ```image aaaaaaaaaad gcddaaaaaac eaaaaag gaaaaae caaaaaa daaaaaad aaaaaac eaaaaag gaaaaae caaaaaa aaaaaac eaaaaag gaaaaae caaaaaa daaaaaad aaaaaac eaaaaag bbbfgaaaaae bbbbbdaaaaaa fbbbbbbaaaaaad bbbbbbbaaaaaac bbbbbbbgaaaaag bbbbbbbcaaaaae bbbbbbbdaaaaaad fbbbbbbbfaaaaaac fbbbbbbbfeaaaaag fbbbbbbbfgaaaaae bbbbbbbbfcaaaaaa bbbbbbbbfdaaaaaad bbbbbbbbb aaaaaac bbbbbbbbb eaaaaag bbbbbbbbb gaaaaae bbbbbbbbb caaaaaa bbbbbbbbb daaaaaad bbbbbbbbb aaaaaac bbbbbbbbbf eaaaaag bbbbbbbbbf gaaaaae bbbbbbbbbf daaaaaad bbbbbbbbbf aaaaaac bbbbbbbbbf eaaaaag bbbbbbbbbb gaaaaae bbbbbbbbbb caaaaaa bbbbbbbbbb daaaaaad bbbfbbbbbb aaaaaac bbbfbbbbbb eaaaaag bbb bbbbbb gaaaaae bbb bbbbbbf caaaaaa bbf bbbbbbf daaaaaac bbf bbbbbbf eaaaaae bbf fbbbbbf gaaaaaad bb fbbbbbf daaaaaag bb fbbbbbb gaaaaaad bf fbbbbbb daaaaaag bf fbbbbbb eaaaaaa bf fbbbbbb caaaaaac b bbbbbb aaaaaae b bbbbbb gaaaaaac f bbbbbbf daaaaaae f bbbbbbf gaaaaaad f bbbbbbf daaaaaag fbbbbbf eaaaaaa fbbbbbf caaaaaac fbbbbbf eaaaaae ``` <!-- end of image --> There is no intersection present within area B. Right then, let's explore the next spot. I'm determined to find out if an intersection exists in area C. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a742dff b,#f0bbfdff c,#d3c1a7ff d,#eae2d4ff e,#a8874bff f,#f7ddfdff g,#bda179ff ``` ```image caaaaaac aaaaaae caaaaaad daaaaaag gaaaaaad daaaaaag eaaaaaa caaaaaac eaaaaae caaaaaac aaaaaae gaaaaaad daaaaaag gaaaaaa daaaaaac eaaaaae caaaaaac aaaaaae gaaaaaad daaaaaag bf gaaaaaad bbbbf daaaaaag bbbbbbf eaaaaaa bbbbbbbbff caaaaaac bbbbbbbbbbbf eaaaaae bbbbbbbbbbbbbff caaaaaad bbbbbbbbbbbbbbbbf daaaaaag fbbbbbbbbbbbbbbbf gaaaaaad fbbbbbbbbbbbbbbbbf daaaaaag fbbbbbbbbbbbbbbbfgaaaaaa fbbbbbbbbbbbbbbbcgaaaac ffbbbbbbbbbbbbbbbgeec fbbbbbbbbbbbbbbbff ffbbbbbbbbbbbbbf fbbbbbbbbbbb fbbbbbbbbf fbbbbbf fbbb f ``` <!-- end of image --> It's a shame, but area C doesn't contain an intersection. Answer: A: 1; B: 0; C: 0; 1 + 0 + 0 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9a742dff b,#f0bbfdff c,#ceb99bff d,#e5d9cbff e,#a9894dff f,#f7dffdff g,#b99f70ff ``` ```image ff bbb bbbb dcd bbb dceaaaaaaad bbbb dcgaaaaaaaaaaaaaaag bbb deaaaaaaaaaaaaaaaaaaaaaaa bbbb caaaaaaaaaaaaaaagcd aaa bbbf caaaaaaaaegd aaa bbbb gaaaad aaac bbbf gaaaa caae fbbb gaaaa aaa bbbf gaaaa aaa fbbb gaaaa aaad bbbb gaaaa eaag fbbb eaaae bbdaaa bbbb eaaae bbbbaaa bbb eaaae bbbbaaa bbbb eaaae bbbbaaad bbb eaaae bbbbgaag bbbb eaaae bbbbdaaa bbbf eaaae fbbbb aaa fbbb eaaae bbbbb aaa bbbcaaag bbbbbfeaac fbbbaag bbbbbfcaae bbbcg bbbbbf aaa agbbb fbbbbbb aaa aaabbbb bbbbbbb aaad aaaacbbb bbbfbbb eaag aaaac bbbb bbb bbb daaa aaaac bbb bbb bbb aaa aaaac bbbb fbbb bbb aaag aaaac bbbf fbbf bbb daaa aaaac bbbb bbbf bbb aaac aaaac bbbf bbb bbb caaa aaaad fbbb bbb bbbf aaad aaaad bbbf bbb fbbf eaaa aaaad fbbb fbbb fbbb aaa aaad bbbb bbbf fbbb aaae ad fbbb bbb bbb daaa bbbb bbb bbb aaac bbb bbb bbb caaa bbbb fbbb bbb aaad bbb bbbf bbb gaaa bbbb bbb bbb aaa bbbf bbb bbb eaae fbbb bbb bbbf faaa bbbf fbbb bbbf aaag fbbb bbbf fbbf daaa bbbf bbb fbbb aaad fbbb bbb bbb gaaa bbbb bbb bbb aaaf bbb fbbb bbb eaaa bbbb fbbf bbb aaa bbb bbbf bbb aaag bbbb bbb bbb daaa bbbf bbb bbb aaac bbbb fbbb bbbf caaa bbbf fbbf bbbf aaad fbbb bbbf fbbf gaaa bbbf bbb fbbb aaa fbbb bbb fbbb aaae bbbb bbb bbb daaa fbbb fbbb bbb aaac bbbb bbbf bbb caaa bbb bbb bbb aaad bbbb bbb bbb gaaa bbb bbb bbb aaa bbbb fbbb bbbf eaae bbbf bbbf bbbf aaa fbbb bbb fbbf aaag bbbfbbb fbbbf daaa fbbbbbb bbbbbf aaac bbbbbb bbbbbbbbf caaa fbbbbf fbbbbbbbf aaaf bbbb fbbbbbbbb eaaa bbb fbbbbbbbf aaa bbb fbbbbbbbb aaag bbbbbbbbfdaaa fbbbbbbbdaac bbbbbbbbf fbbbbb bbb f ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#b0b67fff b,#6189bcff c,#d8dfdaff d,#919647ff e,#b1d7b1ff f,#93b2c9ff g,#96c996ff ``` ```image cfc bbbbbbbbfc bf cfbbbbbbbbbfc cb cfbbbbbbbbbfc fb cfbbbbbbbbffc bf cfbbbbbbbbffc bc cffbbbbbbbbfc fb cffbbbbbbbbfc bb cfbbbbbbbbbfc bf cfbbbbbbbbbfc b cfbbbbbbbc fb cf eeeeeeeeeeeebbeeeeeeg eeeeeeeeeeeebfeeeeeeg eeeeeeeeeeefbeeeeeeeg eeeeeeeeeeebbeeeeeeeg eeeeeeeeeeebbeeeeeeeg eeeeeeeeeeebeeeeeeeeg eeeeeeeeeefbeeeeeeeeg eeeeeeeeeebbeeeeeeeeg eeeeeeeeeebfeeeeeeeeg eeeeeeeeeebeeeeeeeeeg eeeeeeeeebbeeeeeeeeeg eeeeeeeeebbeeeeeeeeeg c eeeeeeeeebfeeeeeeeeeg adda eeedaeeefbeeeeeeeeeeg dddddd eeeddddebbeeeeeeeeeeg eddda dd eeeeedddbbeeeeeeeeeeg adddc ad eeeeeeeabddaeeeeeeeeg cddda ad eeeeeeefbgddddeeeeeeg adddc cd eeeeeeebbeeeddddeeeeg cddda cd eeeeeeebfeeeeeadddaeg addde dc eeeeeefbeeeeeeeegdddd dddd dc eeeeeebbeeeeeeeeeeedddd eddda da eeeeeebbeeeeeeeeeeeegadddc adddc da eeeeeebfeeeeeeeeeeeeg cddda cddda dd eeeeefbeeeeeeeeeeeeeg ddda adddc dd eeeeebbeeeeeeeeeeeeeg adddc cddda ad eeeeebfeeeeeeeeeeeeeg eddde addde ed eeeeebeeeeeeeeeeeeeeg cdddacdddd cd eeeebbeeeeeeeeeeeeeeg addda d eeeebbeeeeeeeeeeeeeeg c dc eeeebfeeeeeeeeeeeeeeg de eeefbeeeeeeeeeeeeeeeg da gggbbggggggggggggggge dd bf dd bc ad ad cd cd dc dc da da dd dd ad ed cd d dc de da dd dd ad ad cd cd dc dc da da dd dd ad ed cd d dc ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#abaf73ff b,#6189bcff c,#b7cae1ff d,#909647ff e,#cacdaaff f,#8fabcfff g,#e0e6e8ff ``` ```image bbbg gbbb cbbf fbbc bbbg cbbb fbbf bbbg gbbb cbbf fbbc bbbg gbbb cbbf fbbc bbb cbbf fbbc bbbg gbbb cbbf fbbc bbbg gbbb fbbf bbbc e gbbb eddeg cbbf addddag fbbc eddddddae bbbg eaddddddebbb gaddddbbbf geddbbbdae ebbbdddde cbbbddddddeg fbbfgaddddddag bbbg eddddddae gbbb eaddddddeg cbbf gaddddddag fbbc geddddddae bbbg eadddddde gbbb gaddddd cbbf geddd fbbc ea bbb cbbf fbbc bbbg gbbb cbbf fbbc bbbg gbbb fbbf bbbc gbbb cbbf fbbc bbbg gbbb cbbf fbbc bbbg cbbb fbbf ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#abaf73ff b,#6089bcff c,#c2d1e5ff d,#919647ff e,#c9cca6ff f,#90acd0ff g,#e7eae3ff ``` ```image gfcg bbbbbbbbfc bc cfbbbbbbbbbfc cb cfbbbbbbbbbfc fb cfbbbbbbbbfcg bf gcfbbbbbbbbfcg bc gcfbbbbbbbbfcg cb gcfbbbbbbbbfc bb cfbbbbbbbbbfc bf cfbbbbbbbbbfc gb cfbbbbbbbc fb gcf bb bc cb bb bf bg fb bb bf gb fb bb g bc edda de cb gdddddd ddda bb eddde dd addbf adddg ad ebdde eddda ed fbgddda addde ed bb adddg gddda gd bc eddde eddde dg cb gddda gddddg de fb addd eddde de bf edddg adddg da bc eddde eddda dd cb gddda addde dd bb adddg gddda ad bf eddde eddde ed gb gdddagddddg gd fb addde d bb g dg bc de cb da bb dd bf dd bg ad ed ed gd dg de de da dd dd ad ed gd d dg de da dd dd ad ed ed gd dg de de da dd dd ad ed gd d dg g ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#56e0a1ff b,#aebfc5ff c,#2bdd8eff d,#9aeec9ff e,#b1d7b1ff f,#d5e6e3ff g,#94cb97ff ``` ```image f b ff fb b b bf ff b b b c bf c fb c b da b ad b cf bf c fb c b c b da b ad bf cf fb c b c b c b da bf ad fb cf b c b c b fc bf da fb ad b cf b c bf c ff fc fb da b ad b cf bf c fb c b fc b da bbbf ad fbbbf c bbbf c bbbf c bbbb fc fbbb da fbbb eggggggggggggcagggggggge fbbbf geeeeeeeeeeeeceeeeeeeeeg fbbbf geeeeeeeeeeeeceeeeeeeeeg fbbbf geeeeeeeeeeeeceeeeeeeeeg fbbbf geeeeeeeeeeegceeeeeeeeeg fbbbf geeeeeeeeeeeaaeeeeeeeeeg fbbbf geeeeeeeeeeecgeeeeeeeeeg bbbf geeeeeeeeeeeceeeeeeeeeeg bbbf geeeeeeeeeeeceeeeeeeeeeg bbbbgeeeeeeeeeeeceeeeeeeeeeg fbbbeeeeeeeegceeeeeeeeeeg gebbbbeeeeeaaeeeeeeeeeeg geeeebbbbeecgeeeeeeeeeeg geeeeeeebbbbeeeeeeeeeeeg geeeeeeeeeeabbbeeeeeeeeg geeeeeeeeeeceeebbbeeeeeg geeeeeeeeegceeeeeebbbeeg geeeeeeeeeaaeeeeeeeeeeeg geeeeeeeeecgeeeeeeeeeeeg fddf geeeeeeeeeceeeeeeeeeeeeg fddaccccccccaacccaf geeeeeeeeeceeeeeeeeeeeeg fdaaccccccccaddf dcccaf geeeeeeeeeceeeeeeeeeeeeg cccccccaddf dcccaf geeeeeeeegceeeeeeeeeeeeg dcccaf geeeeeeeeaaeeeeeeeeeeeeg dcccad geeeeeeeecgeeeeeeeeeeeeg dcccad geeeeeeeeceeeeeeeeeeeeeg dcccadgeeeeeeeeceeeeeeeeeeeeeg dccccgeeeeeceeeeeeeeeeeeeg dcccaddc dccd ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#55e2a4ff b,#acbdc3ff c,#2add8fff d,#acf1d3ff e,#81e8bcff f,#c5d1d5ff g,#dceee9ff ``` ```image acd ccg gcc dcc eca ace acd ccg gcc dcc eca ace acd ccg gcc dca eca ace g ccd bbfg ccg bbbbbfg gcc gfbbbbbfg dca gfbbbbbfg eca gfbbbbbbfg ace gfbbbbbbfg ccd gfbbbbbbfgccg gfbbbbbeg gfbbbbbfg eabbbbbbfg ace gfbbbbbfg ccd gfbbbbbfg ccg gfbbbbbfg gcc gfbbbbbf dca gfbbf ece gg ace ccd gccg gcc dca ece ace ccd gccg dcc dca ece ace ccd gccg dcc dca g ece caedg acd ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#55e2a5ff b,#acbdc4ff c,#2add8eff d,#b5f2d8ff e,#90edc4ff f,#cad4d9ff g,#e3f0edff ``` ```image g bg ff gb b b bg ff gb b b c bg c ff c gb da b ae b cg bg c fb c b gc b da b ae bf cg gb c b c b gc b ea ff ae gb cg b c b c bg gc ff ea gb ae b cg b c bg c ff gc gb ea b ae b cg bg c ff c gb gc b ea bbbf ae gbbbf cg gbbbf c fbbf c fbbf gc fbbf ea fbbbg ad fbbbg cg fbbbg c gbbbg c gbbbg gc gbbbf ea gbbbf ad gbbbf c fbbf c fbbf c fbbf dc fbbbg ea fbbbg cd fbbbg abbbg c gbbbg dc gbbb ea g cd gded c gdeaccccccccaacccad c gdeaaccccccccaedg ecccad c cccccccaedg ecccad dc g ecccad ea ecccad cd ecccad c ecccad c ecccad c ecccaddc ecce ``` <!-- 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,#efa149ff b,#c5f9b3ff c,#f8d7b1ff d,#f0f7eaff e,#b2d8b1ff f,#e8b874ff g,#a2ce9fff ``` ```image af faaaac faaaaf caaaaad faaaac caaaaf daaaaad faaaac dd caaa bbb fac bbbbb daa bb bbb aa bbb bbb aac dbb bbb caa bbd bbb aa dbb bbb aad bbd bbb faf bbb bbbdddddddddddddddd daa bb bbbgggggggggggggggd aa bbb bbbeeeeeeeeeeeeegd aac bb bbbeeeeeeeeeeeegd caa bbb gbbbeeeeeeeeeeegd dd aa dbb gebbbeeeeeeeeeegd dbb aad bbd geebbbeeeeeeeeegd bb caf dbb geeebbbeeeeeeeegd bbd aa bbd geeeebbbeeeeeeegd bb aa bbb geeeeebbbeeeeeegd bbd fac bb geeeeeeebbbeeeegd dbb daa bbb geeeeeeeebbbeeegd bb aa bb geeeeeeeeebbbeegd bbd dggggggaagggggggggbbegggd geefeeeeeeebbbegd dbb dgeeeeefaaeeeeeeeebbeeegd caaaaaeeeeeeebbbgd bb dgeeeeeeaaeeeeeeebbeeeegd caaaaaaaaeeeeeeeebbbd bbb dgeeeeeeaaeeeeeebbbeeeegd caaaaaafeeaafeeeeeeeebbb bb dgeeeeeefafeeeeebbeeeeegd faaaaaac ggggaagggggggggbbb bbd dgeeeeeeeaaeeeebbbeeeeegd daaaaafd ddddaaddddddddddbbb dbb dgeeeeeeeaaeeeebbeeeeeegd aaafd caa bbb bb dgeeeeeeeaafeebbbeeeeeegd aaa aa bbb bbb dgeeeeeeegaaeebbeeeeeeegd caa aac bbb bb dgeeeeeeeeaaebbeeeeeeeegd aac daa bbb bbd dgeeeeeeeeaaebbeeeeeeeegdaaf aad bbb dbb dgeeeeeeeefaabeeeeeeeeegfaa faf b bb dgeeeeeeeeeaabeeeeeeeeegaa aa bbb dgeeeeeeeeeaaeeeeeeeeeeaac aac bb dgeeeeeeeebfafeeeeeeeeaaa caa bbd dgeeeeeeeebbaaeeeeeeefaad aa dbb dgeeeeeeebbbaaeeeeeeeaagd faf bb dgeeeeeeebbeaafeeeeeaafgd aa bbd dgeeeeeebbeegaaeeeeaaaegd aad bb dgeeeeeebbeeeaaeeefaaeegd caa bbd dgeeeeebbeeeeaageeaaeeegd aa dbb dgeeeebbbeeeefaaeaafeeegd aac bb dgeeeebbeeeeeeaaaaaeeeegd daa bbd dgeeebbbeeeeeeaaaaeeeeegd aad dbb dgeeebbeeeeeeefaageeeeegd faf bb dgeebbbeeeeeeeeafeeeeeegd aa dbb dgggbbggggggggggggggggggd aac bb bbd caa bbd dbb aa dbb bbd faf bb bbb aa bbbbb aac bbbb caa bbb aa dbd aac daa aad caa aa aac daa aa faf aa aac caa aa faf daa aad caa fd ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0a149ff b,#c5f9b2ff c,#f4cd9cff d,#dbfbcfff e,#f5f8e9ff f,#f0b873ff g,#f9e1c5ff ``` ```image aaaag ebbbbd faaaf dbbbb gaaaa ebbbbd eaaaag bbbbb faaac dbbbbe caaaf bbbbd eaaaae dbbbbe aaaac bbbbd caaaf dbbbb gaaaa ebbbbd aaaag dbbbb faaac ebbbbd gaaaa bbbbb eaaaag dbbbbe faaac bbbbd caaaf dbbbbe gaaaae ebbbbd aaaag dbbbb caaaf ebbbbd gaaaa bbbbb eaaaagbbbbe faaafbbbb caaaabbbe eaaaabbd faaafbe g caaafd ea caaaae fa ebaaaag caa bbfaaaf gaaa ebbcaaaa eaaaa bbbbaaaag faaaa dbbbbfaaac caaaaf bbbbdcaaaf eaaaaae dbbbbeeaaaae faaaag ebbbbd aaaac faaaac dbbbb caaaf gaaaaf ebbbbd gaaaa eaaaaae bbbbb aaaag faaaag dbbbbe faaac caaaac bbbbd gaaaa gaaaaf dbbbbe eaaaag eaaaaae bbbbd faaac faaaag dbbbbe caaaf caaaac ebbbbd gaaaaegaaaaf dbbbb aaaacaaaaae ebbbbd caaaaaaaac bbbbb gaaaaaaaf dbbbbe eaaaaaaae bbbbd faaaaag dbbbbe caaaac ebbbbd eaaaf dbbbb gfc ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here 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,#f0a148ff b,#c5fab2ff c,#f7d0a3ff d,#e9f8daff e,#f6fbf0ff f,#f2b672ff g,#d2fac4ff ``` ```image g bg bbg bbbg bbbbg bbbbbg ebbbbbge ebbbbbge ebbbbbbe egbbbbbe egbbbbbe gbbbbbe gbbbbbe gbbbbbe gbbbbbd gbbbbbd gbbbbbd dbbbbbd dbbbbbd dbbbbbd dbbbbbd dbbbbbg dbbbbbg dbbbbbg ebbbbbg ebbbbbg ecfce ebbbbbg dcfaaaaf ebbbbbge caaaaaaaaae ebbbbbge aaaaaaaaaac ebbbbbb aaaaaaaaaaf egbbbb aaafcddaaaad egbbb fce faaaf gbb caaaae gb eaaaac g ``` <!-- end of image --> No intersection in area B, but I'll keep looking. Answer: A: 1; B: 0; 1 + 0 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f0a149ff b,#c5f9b3ff c,#f6cda0ff d,#ddfbd2ff e,#f6f9ecff f,#f2b672ff g,#f9e3c8ff ``` ```image afe faaaag faaaaf gaaaaae efaaaac caaaaf gaaaaag faaaac ed caaa bbb fac bbbbb gaa bbebbb aa bbd bbb aag ebb bbb caf bbd bbb aa dbb bbb aae bbe bbb faf dbb bbb eaa bb bbb aa bbb bbb aac bb bbb gaa bbd bbbe ee aa ebb bbbe dbb aag bbd dbbe bb caf dbb dbbe bbd aa bbe dbbd ebb aa dbb dbbd bbe fac bb dbbd dbb eaa bbb ebbd bb aa ebb ebbd bbd aag bbd efe ebbb ebb gaa ebb gaaaaa ebbb bb aa bbe gaaaaaaaa ebbb dbb aae dbb caaaaaac faf bbb bb caf bbe caaaaaag eaa bbb bbd aa bbb eaaaaafg aag bbb ebb aa bb aaafe caa bbb bb fac bbd aaa aa bbb dbd gaa ebb caa aac bbb bb aa bbd aag eaa bbb bbe aagbb aaf aae bbb ebb caabe faa caf b bb aab gaa aa bbd aae aag aag bb bfaf aaf gaa bbe bbaa faa aa dbb bbdaa gaae faf bb ebb aac aac aa bbd bbd gaa aaa aag ebb dbb aa caa caa bbe bbe aag eaae aa dbb dbb caf aac aac bb bb aaaaa eaa bbd bbb aaaa aae ebb bb faag caf bb bbd eaf aa dbb ebb aag bb bbd gaa bbd dbb aa ebb bbe faf bb dbb aa dbbbb aag bbbb caa bbb aa ebd fac eaa aae caa aa aac gaa aa faf aa aag gaa aa fac eaa aae caa fe ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#a1cf98ff b,#b53de9ff c,#cd7ef0ff d,#b2d7b1ff e,#e8c5f8ff f,#b087c8ff g,#dcedd7ff ``` ```image cbb bbbb bbbbb bbbbbbe bbbcbbbe bbc cbbbe bbc cbbbc bbe ebbbc ebbe ebbbb ebb aa ebbbb aaaaaaaafbbaaaaaaaabbbbaaaaaaaaa b ddddddddbbbaaaaaddddbbbbddddddda bbbe ddddddddbbbaaaaaaddddbbbbdddddda bbbb ddddddddbbbaaaaaaaddddbbbbddddda cbbb ddddddddbbbaaadaaaaddddbbbbdddda ebbb ddddddddbbbaaaddaaaaddddbbbbddda bbbe ddddddddbbbaaddddaaaaddddbbbbfda bbbc ddddddddbbfaadddddaaaaddddfbbbfa bbbb ddddddddbbfaaddddddaaaaddddfbbbbbbbce cbbb ddddddddbbfaadddddddaaaaddddfbbbbbbbbbbbbce ebbb dddddddfbbaaadddddddddaaaaddddffbbbbbbbbbbbbbbbce bbbe dddddddfbbaaaddddddddddaaaadddda ecbbbbbbbbbbbbbbbce bbbc dddddddbbbaaadddddddddddaaaaddda ecbbbbbbbbbbbc bbbb dddddddbbbaadddddddddddddaaaadda ecbbbbbb cbbb dddddddbbbaaddddddddddddddaaaada cbb ebbb dddddddbbbaadddddddddddddddaaaaa ebbe bbbe dddddddbbbaaddddddddddddddddaaaa bbb bbbc dddddddbbbaadddddddddddddddddaaaa bbb bbbb dddddddbbfaaddddddddddddddddddaaaa cbb cbbb dddddddbbfaadddddddddddddddddddaaaa ebbe ebbb dddddddbbfaddddddddddddddddddddaaaaa bbb bbbe ddddddfbbaadddddddddddddddddddda aaaa bbb bbbc ddddddfbbaadddddddddddddddddddda aaaa cbb bbbb ddddddfbbaadddddddddddddddddddda aaaa ebbe cbbb ddddddbbbaadddddddddddddddddddda aaaa bbb ebbb ddddddbbbaadddddddddddddddddddda daaa bbb bbbe ddddddbbbaadddddddddddddddddddda daaa cbb bbbc ddddddbbbaddddddddddddddddddddda daaag ebbcbbbb ddddddbbbaddddddddddddddddddddda daaag bbbbbb ddddddbbbaddddddddddddddddddddda daaag bbbbb ddddddbbfaddddddddddddddddddddda gaaag cbbbe ddddddbbfaddddddddddddddddddddda gaaag ebbc dddddfbbaaddddddddddddddddddddda gaaad ee dddddfbbaaddddddddddddddddddddda gaaad dddddfbbadddddddddddddddddddddda gaaad dddddbbbadddddddddddddddddddddda aaad dddddbbbadddddddddddddddddddddda aaad dddddbbbadddddddddddddddddddddda aaaa dddddbbbadddddddddddddddddddddda aaaa dddddbbbadddddddddddddddddddddda aaaa dddddbbbadddddddddddddddddddddda aaaa dddddbbfddddddddddddddddddddddda aaaa dddddbbfddddddddddddddddddddddda aaaa ddddfbbfddddddddddddddddddddddda aaaa ddddfbbaddddddddddddddddddddddda aaaa ddddfbbaddddddddddddddddddddddda daaa ddddbbbaddddddddddddddddddddddda daaa ddddbbbaddddddddddddddddddddddda daaag ddddbbbdddddddddddddddddddddddda daaag ddddbbbdddddddddddddddddddddddda daaag ddddbbbdddddddddddddddddddddddda gaaag ddddbbbdddddddddddddddddddddddda gaaag ddddbbfdddddddddddddddddddddddda gaaad ddddbbfdddddddddddddddddddddddda gaaad ddddbbfdddddddddddddddddddddddda gaaad dddfbbddddddddddddddddddddddddda aaad dddfbbddddddddddddddddddddddddda aaad dddfbbddddddddddddddddddddddddda aaaa dddbbbddddddddddddddddddddddddda aaaa dddbbbddddddddddddddddddddddddda aaaa dddbbbddddddddddddddddddddddddda aaaa dddbbbddddddddddddddddddddddddda aaaa dddbbbddddddddddddddddddddddddda aaaa ddabbfddddddddddddddddddddddddda aaaa ddabbfddddddddddddddddddddddddda aaaa dddbbfddddddddddddddddddddddddda aaaa ddfbbdddddddddddddddddddddddddda daaa ddfbbdddddddddddddddddddddddddda daa ddfbbdddddddddddddddddddddddddda d aabbbaaaaaaaaaaaaaaaaaaaaaaaaaaa bbb ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a5d099ff b,#b53ce9ff c,#bb69dfff d,#c5e0bdff e,#dca8f3ff f,#ad96bbff g,#ebe9ecff ``` ```image ebbbbgaaaaad bbbbbbe cbbbbdaaaaaad cbbbbbbe bbbbbdaaaaaaaa ebbbbbb bbbbbaaaaaaaaad ebbbbbe bbbbbaaaaaaaaaad bbbbbbc bbbbbaaaadaaaaaad ebbbbbbc bbbbbaaaaggaaaaaad ebbbbbbc bbbbbaaaa gaaaaaa gbbbbbbg bbbbbaaaa aaaaaag gbbbbbbg bbbbbaaaa aaaaaaag cbbbbbbg bbbbcaaaa daaaaaa cbbbbbbe bbbbcaaaa daaaaag cbbbbbeg bbbbcaaaa aaaaaag bbbbbbb bbbbfaaaa daaaaaag ebbbbbb gbbbbfaaad daaaaaag ebbbbb gbbbbfaaad daaaaaa ebbbb ebbbbaaaag aaaaaad ee ebbbbaaaag daaaaaad ebbbbaaaa gaaaaaad cbbbbaaaa gaaaaaa cbbbcaaad gaaaaad bbbbcaaad aaaaaad bbbbfaaag gaaaaaad gbbbbfaaag gaaaaaaa gbbbbfaaa gaaaaaa ebbbbaaad aaaaaaa ebbbbaaad aaaaaa ebbbbaaad daaaa cbbbbaaag daaa cbbbcaaa aa bbbbcaaa da bbbbfaad d bbbbfaad gbbbbfaag ebbbbaaa ebbbbaaa ebbbbaaa ebbbbaaa cbbbcaaa bbbbcaaa bbbbfaaa bbbbfaaa gbbbbfaad ebbbbfaad ebbbbaaag ebbbbaaag ebbbbaaa cbbbcaad cbbbcaad bbbbcaad bbbbfaag bbbbfaag bbbbfaa bbbbaad bbbbaad bbbbaad bbbbaag bbbbaa bbbbaa bbbbad gbbbbad ebbbbag ebbbbag ebbbba ebbbba cbbbcd cbbbcd bbbbcg bbbbfg gbbbbf gbbbbf ebbbba ebbbba ebbbba cbbbca cbbbca bbbbcd bbbbfd gbbbbfg gbbbbf ebbbbf ebbbba ebbbbd cbbbbg cbbbcg cbbbc bbbbc gbbbbf gbbbbe ebbbbe ebbbbg fbbbbg cbbbb cbbbc cbbbc gbbbbc dbbbbe dbbbbe fbbbbg fbbbbg fbbbb cbbbb cbbbb cbbbb bbbbb gbbbbb bbbbb bbbbb bbbbb bbbbb bbbbb bbbbc ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#a5d099ff b,#b53de9ff c,#ce81f0ff d,#c0deb7ff e,#e7c5f6ff f,#b07fc8ff g,#e1efddff ``` ```image cbb bbbb bbbbb bbbbbbe bbbcbbbe bbc cbbbe bbc cbbbc bbe ebbbc ebbe ebbbb ebb aa ebbbb cbbgaaa bbbb b cbbdaaaa bbbb bbbe bbbaaaaaa bbbb bbbb bbbaaaaaaa bbbb cbbb bbbaaa aaaa bbbb ebbb bbbaad aaaa bbbbe bbbe bbbaag daaag cbbbe bbbc bbcaag daaag cbbbc bbbb bbfaa daaag cbbbbbbbce cbbb ebbfaa daaag ebbbbbbbbbbbbce ebbb ebbaaa gaaad ecbbbbbbbbbbbbbbbce bbbe cbbaaa gaaad ecbbbbbbbbbbbbbbbce bbbc cbbaad gaaad ecbbbbbbbbbbbc bbbb bbbaag gaaad ecbbbbbb cbbb bbbaa gaaad bbb ebbb bbbaa aaaa ebbe bbbe bbbaa aaaa bbb bbbc bbbaa aaaa bbb bbbb bbfaa aaaa cbb cbbb bbfad aaaa ebbe ebbb ebbfag aaaa bbb bbbe ebbaa aaaa bbb bbbc cbbaa aaaa cbb bbbb cbbaa aaaa ebbe cbbb bbbaa aaaa bbb ebbb bbbaa aaaa bbb bbbe bbbad daaag cbb bbbc bbbag daaag ebbcbbbb bbba daaag bbbbbb bbfa daaag bbbbb bbfa daaag cbbbe bbfa gaaad ebbc ebbaa gaaad ee cbbad gaaad cbbag gaaad bbba aaaa bbba aaaa bbba aaaa bbba aaaa bbba aaaa bbbd aaaa bbfg aaaa bbf aaaa ebba aaaa ebba aaaa cbba aaaa cbbd aaaa bbbd daaag bbbg daaag bbb daaag bbb daaag bbb gaaad bbf gaaad bbf gaaad ebbe gaaad cbbe gaaad fbb aaaa fbb aaaa bbb aaaa bbb aaaa bbb aaaa bbb aaaa gbbb aaaa dbbc aaaa abbc aaaa ebbe aaaa ebbe aaaa cbb daa cbb d bbb bbb ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefeffff a,#309c50ff b,#ddbce4ff c,#93c896ff d,#c7c9cbff e,#5eb173ff f,#eff7f0ff g,#b1d7b1ff ``` ```image fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbgggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbgggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdgggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbgggacggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdggaagggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbggeaggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbdgcacggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbggaegggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbgaaggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgeagggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbgacgggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbgaaggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbaagggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbcaggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggdbacggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbaagggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaaggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcagggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaegggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaaggggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaadggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcabgggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggacdgggggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaabggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggeabbggggggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggcacbgggggggggggggggggc fgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaebbgggggggggggggggggc eggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggaagbdgggggggggggggggggc aaegggggggggggggggggggggggggggggggggggggggggggggggggggggggggeagdbggggggggggggggggggc bcaacggggggggggggggggggggggggggggggggggggggggggggggggggggggcacgbdggggggggggggggggggc fbbaaagggggggggggggggggggggggggggggggggggggggggggggggggggggaeggbgggggggggggggggggggc fgbbgaaeggggggggggggggggggggggggggggggggggggggggggggggggggaaggbbgggggggggggggggggggc fggbbgcaacgggggggggggggggggggggggggggggggggggggggggggggggeagggbggggggggggggggggggggc fgggbbggeaagggggggggggggggggggggggggggggggggggggggggggggcacggbbggggggggggggggggggggc fggggbdgggaaegggggggggggggggggggggggggggggggggggggggggggaegggbgggggggggggggggggggggc fgggggbdgggcaacggggggggggggggggggggggggggggggggggggggggaagggbbgggggggggggggggggggggc fgggggdbdggggeaaggggggggggggggggggggggggggggggggggggggeaggggbggggggggggggggggggggggc fggggggdbggggggaaegggggggggggggggggggggggggggggggggggcacgggbbggggggggggggggggggggggc fgggggggdbggggggcaacgggggggggggggggggggggggggggggggggaegggdbgggggggggggggggggggggggc fggggggggbbgggggggeaagggggggggggggggggggggggggggggggaaggggbdgggggggggggggggggggggggc fgggggggggbbggggggggaaeggggggggggggggggggggggggggggeaggggdbggggggggggggggggggggggggc fggggggggggbbggggggggcaacggggggggggggggggggggggggggacggggbdggggggggggggggggggggggggc fgggggggggggbbgggggggggeaeggggggggggggggggggggggggaaggggdbgggggggggggggggggggggggggc fggggggggggggbbgggggggggcaaggggggggggggggggggggggaagggggbdgggggggggggggggggggggggggc fgggggggggggggbbggggggggggaaegggggggggggggggggggeagggggdbggggggggggggggggggggggggggc fggggggggggggggbdggggggggggcaaggggggggggggggggggacgggggbdggggggggggggggggggggggggggc fgggggggggggggggbdgggggggggggaaegggggggggggggggaagggggdbgggggggggggggggggggggggggggc fgggggggggggggggdbdgggggggggggcaagggggggggggggaaggggggbdgggggggggggggggggggggggggggc fggggggggggggggggdbgggggggggggggaacggggggggggcaggggggbbggggggggggggggggggggggggggggc fgggggggggggggggggdbgggggggggggggeaagggggggggaeggggggbgggggggggggggggggggggggggggggc fggggggggggggggggggbbggggggggggggggaacggggggaaggggggbbgggggggggggggggggggggggggggggc fgggggggggggggggggggbbggggggggggggggeaaggggaaggggggdbggggggggggggggggggggggggggggggc fggggggggggggggggggggbbggggggggggggggcaacgeagggggggbdggggggggggggggggggggggggggggggc fgggggggggggggggggggggbbgggggggggggggggaaeacggggggbbgggggggggggggggggggggggggggggggc fggggggggggggggggggggggbbgggggggggggggggcaeggggggdbggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggbbgggggggggggggggggggggggbdggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggbdgggggggggggggggggggggbbgggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggbdgggggggggggggggggggdbggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggdbdggggggggggggggggggbdggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggdbgggggggggggggggggbbgggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggdbggggggggggggggggbggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggbbggggggggggggggbdggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggbbggggggggggggbbgggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggbbgggggggggggbggggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggggbbgggggggggbbggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggbbgggggggdbgggggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggggggbbggggggbdgggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggbbggggbbggggggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggggggggbdggdbgggggggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggggggggdbdgbdgggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggdbbbggggggggggggggggggggggggggggggggggggggggggc fgggggggggggggggggggggggggggggggggggggdbgggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc fggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggc ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2f9b4fff b,#e0bee7ff c,#81c195ff d,#cfe8d7ff e,#56ad70ff f,#efe3f2ff g,#a7d1b5ff ``` ```image b b bb fbf bb bb fbf bf fb bb fbf bb bb bb ad bf daa b eag bb gaa bb ac bb ca bb aad bb cae bf aaf fb ea bbaad fbfaa bbae fbaa beac gaa fac caf ag gaa aag cae dagb eabf aabb eacb aefb faafbf aa bb c daa bb aag ac fbf bcaae daa bf fbcaac eag b fbbgaae gae fb fbb daaa ag fbf bb caacf gae bb bbb daaa aad bb bbf caacf cae bb fbf gaae dad b bbf caac ea bb bbf daae aaf bbf fb caac eac bb bb daae ae fbb bb caac faa bb bb gaae aa fb bf caac daa bb fbb gaag ac bb fbb gaag daa bb fb eaaf aag fbf bb deac gae bf bbf daac fag fb bb caad ea bb fbb eaad aad bb bbf deaef cac bb fbb aaa ae bbf fbb caad ea b bb caad aaf fbb bbb aaa daa bbf bbf aaa ae fbb fbf gaaggaa bf bbf daaaag fb bb eag fbb bb bb bb fbb bb bf fbb bb fbf fbf fbb bb fbb bb bb bf bbb bb bbf bb fbb bb bbf bb bb fb fbb fbb bb bb bb bbf bbf bb fbf bb fbbb bbb f ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#2e9b4fff b,#e0bee7ff c,#7dbc92ff d,#d1e9d8ff e,#52ac6dff f,#efe3f2ff g,#a8d5b6ff ``` ```image b b bb b bb bf fb bf b bb b bb ad bf aa fb ca bf dad fb ae bb aa b ca bbfag bfae fbaa bca fbag bae ea caf ag aa eaf gab acf aab eabb dadb acbb c aa bf aag ea fb bcaad dad bf bbeae ac fb bbfaac aa bb bb gaad ca b bb eaa dad bb bf aac ac b fbf gaad aa bb fbf caa ca fb fb aac dad bb bb daag ae fb bb caa aa bb bb aae ca fb bb daad fag bf bb eae ae fb bb daaf aa bf bb eac ga fb bf daa fag bf bf aag ae fb fbf gaa ea bf fbf aag ga bb fb cae ag b bb aad ae bb bb cae ea fb bb faaf gaf bf bb eaeag bb bb dag fb bb bf bb bb bf fb fbf bf fbf bb fb fb bb bb bb bb bb b bb bb bb fb bb bf bb bb bf fb fbf bf fbbb fb ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. I've spotted 2 narrow regions that might be worth examining further. Let's call them area A,, and B. <!-- image --> ```palette Key,Color ,#fefefeff a,#943e29ff b,#94b93dff c,#eef1e7ff d,#c59d91ff e,#9fcb90ff f,#a8725cff g,#b2d7b0ff ``` ```image gcc aaa aaa aaa aaa aaa aaa aaa aaa aaa aaf caaf caaf gaad daad daad daag faac faac faa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa caaf caaf caad gaad daad daag daac faac faac aaa aaa bbg aaa cbbbb aaa bbbbbbc aaa bbbbbbbg aaa cbbb bbbbb aaa ebbg bbbbbc aaa bbb cbbbbe aaa bbb bbbbb aaa gbbe ebbbbc aaa bbb cbbbbe aaa bbb bbbbb aaf gbbe ebbbbc cccccccccccccccccccccccc caaf bbbc cbbbbe ceggggggggggggggggggggggge caaf bbb bbbbbg cgggggggggggggggggggggggge gaad cbbb ebbbbbc cgggggggggggggggggggggggge daad bbbc bbbbbb cgggggggggggggggggggggggge daad bbb cbbbbbegggggggggggggggggggggggge gfaaag bbb ebbbbbegggggggggggggggggggggge gfaaaaaaac ebbg bbbbbbggggggggggggggggggggge dfaaaaaaaaaad eeeeebbbeeee cbbbbbbggggggggggggggggggge dfaaaaaaaaaafc gggggbbbggggc cebbbbbeggggggggggggggggdaaaaaaaaaaafc ggggebbbggggc cggbbbbbbeggggggggggdaaaaaaaaaaafc ggggbbbgggggc cggggbbbbbbgggggdaaaaaaaaaaafc ggggbbbgggggc cggggggbbbbbfaaaaaaaaaaafe gggebbbgggggc cgggggggfaaaaaaaaaaafeggge gggbbbegggggc cgggfaaaaaaaaaaafeggggggge gggbbbggggggc daaaaaaaaaaaabbbbbggggggge ggebbbggggggc daaaaaaaaaaafggggebbbbbbggggge ggbbbeggggggc daaaaaaaaaaafggggggggggebbbbbbegge ggbbbgggggggc daaaaaaaaaaadegggggggggggggggbbbbbbbbb gggbbgggggggc daaaaaaaaaaadc cggggggggggggggggggbbbbbbbbbec ggggggggggggc daaaaaaaaaaadc cgggggggggggggggggggggbbbbbbbbbbc gggggggggggedaaaaaaaaaaadc cggggggggggggggggggggggggbbbbbbbbbbg ggggggggfaaaaaaaaaaadc cgggggggggggggggggggggggge gbbbbbbbbbg ggggfaaaaaaaaaaad cgggggggggggggggggggggggge cbbbbbbbbbec ggaaaaaaaaaad cgggggggggggggggggggggggge cebbbbbbbbbc ggaaaaaafegec cgggggggggggggggggggggggge ebbbbbbbbbc ccdadccccccc cgggggggggggggggggggggggge gbbbbbb eeeeeeeeeeeeeeeeeeeeeeeeg cbbb ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#943e29ff b,#94b93cff c,#e2dec8ff d,#c6998eff e,#b1cc70ff f,#ab6857ff g,#cadc9eff ``` ```image cbbbbbb gbbbbbg bbbbbbc cbbbbbb gbbbbbe ebbbbbc bbbbbb gbbbbbe ebbbbbg bbbbbb cbbbbbe ebbbbbg bbbbbbc cbbbbbb gbbbbbg bbbbbbc cbbbbbb gbbbbbe ebbbbbc bbbbbb gbbbbbe gbbbbbg gebb c cdf cdfaaaa cdfaaaaaaaa cdfaaaaaaaaaaaa cdfaaaaaaaaaaaaaaaa daaaaaaaaaaaaaaaaaa caaaaaaaaaaaaaaafdc aaaaaaaaaaafdc ``` <!-- end of image --> This isn't an intersection in area A, but I'm not discouraged. Now, let's turn our attention to the next spot. Let's see what secrets area B holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#933e29ff b,#94b83bff c,#ebe9daff d,#b78371ff e,#afca6dff f,#9c573bff g,#d1c9a8ff ``` ```image bg bbec bbbbec bbbbbbg bbbbbbbbg bbbbbbbbbec ebbbbbbbbbbec cbbbbbbbbbbbg cg gbbbbbbbbbbbc cgdfaa cebbbbbbbbbbec cgdfaaaaaa cebbbbbbbbbbe cgdfaaaaaaaaaa gbbbbbbbbbbbg cgdfaaaaaaaaaaaaaa gbbbbbbbbbbec cgdfaaaaaaaaaaaaaaaaaa cebbbbbbbbbbddfaaaaaaaaaaaaaaaaaaaafd cebbbbffaaaaaaaaaaaaaaaaaaaaafdgc cdfaaaaaaaaaaaaaaaaaaaaafdgc cgdfaaaaaaaaaaaaaaaaaaaafdgc cgdfaaaaaaaaaaaaaaaaaaaafdgc cgdfaaaaaaaaaaaaaaaaaaaaafbbbbg dfaaaaaaaaaaaaaaaaaaaaffbbbbbbbbbbg aaaaaaaaaaaaaaaaaafdgc cebbbbbbbbbbec aaaaaaaaaaaaaafdgc cebbbbbbbbbbec aaaaaaaaaafdgc gbbbbbbbbbbbeg aaaaaafdgc gbbbbbbbbbbbbegc aafdgc cebbbbbbbbbbbbbegc gc cebbbbbbbbbbbbbb gbbbbbbbbbbbbb gebbbbbbbbbb cgebbbbbbb gebbbb ceb ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#943e29ff b,#94b93cff c,#ebe8daff d,#c6998dff e,#b4cd76ff f,#ad6f5dff g,#d4cdaeff ``` ```image gcc aaa aaa aaa aaa aaa aaa aaa aaa aaa aaf caaf caaf gaad gaad daag daag faac faac faa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaa aaf caaf caad gaad daad daag daag faac faa aaa aaa bbg aaa cbbbb aaa ebbbbb aaa bbbbbbbg aaa bbb bbbbb aaa ebbg ebbbbc aaa bbb cbbbbe aaa bbb bbbbb aaa gbbe ebbbbc aaa bbb cbbbbe aaa bbb bbbbb aaf gbbe ebbbbc caaf bbbc cbbbbe caaf bbb bbbbbg gaad cbbb ebbbbb gaad ebbc bbbbbb daag bbb cbbbbbe gfaaag bbb ebbbbbc gfaaaaaaac ebbg bbbbbb gfaaaaaaaaaad bbb bbbbbe gfaaaaaaaaaafc bbb gbbbbbg gaaaaaaaaaaafc gbbe ebbbbbc gaaaaaaaaaaafc bbb bbbbbb gaaaaaaaaaaafc bbb cbbbbbfaaaaaaaaaaafc gbbe daaaaaaaaaaafc bbbc daaaaaaaaaaafc bbb daaaaaaaaaaaabbbbb cbbb daaaaaaaaaaadc cbbbbbe ebbg daaaaaaaaaaadc gbbbbbbg bbb daaaaaaaaaaadc ebbbbbbbe ceb daaaaaaaaaaadc ebbbbbbbbec daaaaaaaaaaadc ebbbbbbbbbc daaaaaaaaaaad gbbbbbbbbbg daaaaaaaaaaad gbbbbbbbbbe daaaaaaaaaaad cbbbbbbbbbe aaaaaaaaaad cebbbbbbbbbc aaaaaad ebbbbbbbbbc dad gbbbbbb cbbb ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#234126ff b,#8c1361ff c,#b0d6b0ff d,#6c7f6dff e,#dbcbd4ff f,#af6995ff g,#99bd99ff ``` ```image eee eeffbbbbbbbbbbbb eeffbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbf bbbbbbbbbbbbbbbffee bbbbe bbbffee bbbb bbbb ebbbb fbbbe bbbb bbbb bbbb ebbbf fbbbe bbbb bbbb ebbbb fbbbf bbbbe bbbb bbbb ad ebbbf eaaa fbbbe aaaa bbbb aaad bbbb daaa bbbb aaaa fbbbf eaaag bbbbe ae daaa bbbb aaae aaaa bbbb aaaag eaaae ebbbf aaaag aaaa fbbbe aaaac aaad bbbbgggggggggggggggggggggg aaaac gaaae bbbbccccccccccccccccccccgaaaac aaaa bbbbcccccccccccccccccccaaaac aaad dbbbfcccccccccccccccccaaaae daaa gbbbbgcccccccccccccccaaaae aaaa gcbbbbccccccccccccccaaaac eaaag gccbbbbccccccccccccaaaag daaa gccgbbbbccccccccccaaaagc aaaa gcccfbbbfcccccccgaaaagcc eaaac gccccbbbbgcccccgaaaagccc aaaa gcccccbbbbccccgaaaagcccc aaaa gccccccbbbbccgaaaagccccc gaaae gccccccgbbbfgaaaagcccccc aaaa gcccccccbbbbaaaagccccccc aaad gccccccccbbaaaagcccccccc daaa gccccccccgaaaagccccccccc aaaa gcccccccgaaaabbccccccccc aaag gccccccgaaaabbbfcccccccc daaa gcccccgaaaacbbbbgccccccc aaaa gccccgaaaacccbbbbccccccc eaaac gcccgaaaacccccbbbbcccccc aaaa gccgaaaaccccccgbbbbccccc aaaa gcgaaaaccccccccfbbbfcccc caaae ggaaaaccccccccccbbbbcccc aaaa daaaaccccccccccccbbbbccc aaad gaaaaccccccccccccccbbbbcc gaaa gaaaacccccccccccccccfbbbfc aaaa gaaaacccccccccccccccccbbbbg aaad gaaaacccccccccccccccccccbbbb daaa gaaaagccccccccccccccccccccbbbb aaaa gaaaa gccccccccccccccccccccgbbbb eaaag gaaaa fbbbf daaa daaaa bbbb aaaa daaaa bbbb caaae daaaa bbbb aaaa daaaa ebbbf aaad daaaa fbbbe gaaae gaaaa bbbb aaaa aaaa bbbb aaad aaae ebbbb daaa aaae fbf aaaa aaa e eaaagaaa daaaaaa aaaaaa eaaaaa aaaaa aaaa gaaa aad ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#234126ff b,#8c1260ff c,#ccafc1ff d,#6b7f6dff e,#e5dee2ff f,#ae5a90ff g,#465f48ff ``` ```image bbbe bbbb bbbbf bbbbbf bbbbbbc bbbbbbbe d bbbbbbbf da cbbbbbbbf daa fbbbbbbbc gaaa fbbbbbbbe gaaaa ebbbbbbbbe gaaaaa cbbbbbbbf gaaaaaa cbbbbbbbf gaaaaaaa fbbbbbbbc egaaaaaaaa bbbbbbbbe egaaaaaaaae ebbbbbbbb egaaaaaaaae cbbbbbbbf egaaaaaaaae fbbbbbbbc egaaaaaaaae fbbbbbbbc egaaaaaaage ebbbbbbbbe egaaaaaaage ebbbbbbbf egaaaaaaage cbbbbbbbf egaaaaaaage fbbbbbbbc egaaaaaaage fbbbbbbbe egaaaaaaage ebbbbbbbb egaaaaaaage cbbbbbbbf egaaaaaaage fbbbbbbbfgaaaaaaage fbbbbbbaaaaaaaage ebbbbbaaaaaaaage ebbbaaaaaaaage cbaaaaaaaage eaaaaaaaage eaaaaaaaaabe eaaaaaaaaabbbe eaaaaaaaaabbbbf eaaaaaaaaabbbbbbf eaaaaaaaagfbbbbbbbc caaaaaaaag bbbbbbbbe caaaaaaaag ebbbbbbbb caaaaaaaag cbbbbbbbf caaaaaaaag fbbbbbbbc caaaaaaaad fbbbbbbbc caaaaaaaad ebbbbbbbbe caaaaaaaad ebbbbbbbf caaaaaaaad cbbbbbbbf caaaaaaaad fbbbbbbbc caaaaaaaad fbbbbbbbe caaaaaaaad ebbbbbbbb caaaaaaaad cbbbbbbbf caaaaaaaad fbbbbbbbc aaaaaaaad fbbbbbbbc aaaaaaad ebbbbbbbbe aaaaaad ebbbbbbbf aaaaad cbbbbbbbf aaaad fbbbbbbbc aaad fbbbbbbb aad ebbbbbbb ad cbbbbbb d cbbbbb fbbbb bbbb ebbb ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#234126ff b,#8c1260ff c,#c2b1bbff d,#859586ff e,#e1dddfff f,#ad578fff g,#4f6751ff ``` ```image ecc eccffbbbbbbbbbbb eccfbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbf bbbbbbbbbbbbbbbffce fbbbe bbffcce bbbb bbbb ebbbf fbbbc bbbbe bbbb bbbb cbbbf fbbbe bbbb bbbb ebbbb fbbbc bbbbe bbbb bbbb ag cbbbf eaaae fbbbc aaaa bbbb aaad bbbb daaa ebbbb aaaa cbbbf eaaac bbbbe ae gaaa bbbb aaae aaaa bbbb aaaac caaac ebbbf aaaac aaaa fbbbc aaaac aaag bbbb aaaac caaae bbbb aaaac aaaa bbbb aaaac aaad cbbbf aaaac daaa fbbbe aaaac aaaa bbbb aaaae eaaad bbbb aaaae gaaa ebbbb eaaaae aaaa fbbbc eaaaae eaaac bbbbe eaaaae gaaa bbbb eaaaae aaag bbbb eaaaae caaae cbbbfeaaaae aaaa fbbbaaaae aaag bbaaaae daaa eaaaae aaaa eaaaabb eaaad eaaaabbbf gaaa eaaaa bbbbe aaaa caaaa bbbb eaaac caaaa bbbb gaaa caaaa ebbbf aaag caaaa fbbbc caaae caaaa bbbb aaaa caaaa bbbb aaag caaaa bbbb daaae caaaa cbbbf aaaa caaaa fbbbe aaad daaaa bbbb daaa daaaa bbbb aaaa daaaa ebbbf eaaac daaaa fbbbc gaaa daaaa bbbbe aaaa daaaa bbbb caaac daaaa bbbb aaaa daaaa cbbbf aaag daaaa fbbbc daaae daaaa bbbb aaaa aaaa bbbb aaad aaae ebbbb daaa aaae cbf aaaa aaae c eaaadaaa gaaaaaa aaaaaa eaaaaa gaaaa aaaa caaa gag ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#ce0446ff b,#6bbf7cff c,#e593acff d,#b1d7b1ff e,#d34c75ff f,#8ec995ff g,#edece7ff ``` ```image eg ac ac ac ac ac fffaefffffffffff dddaedddddddddddg dddaedddddddddddg dddaedddddddddddg dddaedddddddddddg dddaedddddddddddg dddaadddddddddddg dddaadddddddddddg dddaadddddddddddg dddaadddddddddddg dddaadddddddddddg dddaadddddddddddg dddaafffffffffffddggggggggg dddaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb dddeadddddddddddg gb dddeadddddddddddg bd dddeadddddddddddg fb dddeadddddddddddg bg dddeadddddddddddg bf dddeadddddddddddg db dddeadddddddddddg bd d dddeadddddddddddg bb bbd dddcadddddddddddg gb gbb dddcadddddddddddg bd fbf dddcadddddddddddg fb bbbg dddfaddddddddddfg bg gbbbg ggggaggggggggggg bb gbbbg ga db gbbbg ga bd dbbb a bb dbbf ac gb dbbf eaa bf dbbf aae db fbbd caag bg fbbd aae bb fbbd caag db bbbd aae bd gbbbg caag fb gbbbg aae gb gbbbg caag bbbb aae df caag aaa gaac eaa gaac eaa gaac eaa gaac eaa aae caag aae caag aae ag caag ea aae cag caag ae aae aa caag ea aaa gac gaac aa eaa aa gaac cag eaa gae gaac aa eaa ea gaac cag eaa ae aae aa caag ea aaeac caa ``` <!-- end of image --> I'm analyzing this close-up of area A with precision. <!-- image --> ```palette Key,Color ,#fefefeff a,#ce0044ff b,#6abd7aff c,#e16990ff d,#b0dcb9ff e,#d12f63ff f,#eda7beff g,#e4dedaff ``` ```image faac faac faac faac gaac gaac gaac gaae gaae gaae gaae aae aae aae aae aae aaa aaa aaa eaa eaa eaa eaa eaa deaaddddddddddddddddddddd deaabbbbbbbbbbbbbbbbbbbbb deaabbbbbbbbbbbbbbbbbbbbb eaaggggggggggggggddddddd eaag caag caag caag caaf caaf caaf caaf caaf caaf caaf caaf faaf faaf faac faac faac faac faac faac faac faac gaac ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#ce0246ff b,#6cc07dff c,#e4779bff d,#abdab4ff e,#d73c6fff f,#efb0c5ff g,#e4e9e1ff ``` ```image ef af af ac ac ac ac ac ae ae ae ae ae ae aa aa aa ea eaddddddddddddgggggggggg eabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ea gb ea bd ca db ca b ca bb ca db ca bg d fa bb bbg fa gb gbb fa bd bbb fa db bbbg fa bg gbbbg ga bb gbbbg ga db gbbbg ga bd gbbb a bb dbbb ac gb dbbb caa bd dbbd aac db dbbd caa bg bbbd aae bb bbbd caag gb bbbg aae bd gbbbg faag bb gbbbg aae b gbbbg faaf bbbb aae db faaf eaa faaf eaa gaaf eaa gaac eaa aac caa aac caa aae caag aae ag faag ea aae faf faag ae aae aa faaf ea eaa gaf faaf aa eaa aa gaaf cag eaa ac gaac aa eaa ea gaac faf caa ae aac aa caa ea aaeac caa ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#a8aba2ff b,#45adceff c,#b0dceaff d,#dce3e2ff e,#b2d5b2ff f,#7ac4d7ff g,#96ca96ff ``` ```image aaa aaad aaaa aaaae aaaaa cb aaaaaa bbb aaeaaad dbbb daad aaa bbbb daad eaae bbbb daa aaa bbbb eaa daaa fbbbb aaa aaad bbbbb aaa aaa bbbbb aaa eaae cbbbbb aaa aaa bbbbbb aaa daaa bbbbbb aaa aaad bbfbbb aaa aaa fbbdbbb aae eaae bbb bbb aad aaa bbb bbb daad daaa cbbc bbb daad aaad bbb bbb eaa aaa bbb bbb eaa eaaa bbf bbb aaa aaa fbbd bbb aaa daaa bbb bbb aaa aaad bbb bbb aaa aaa cbbc bbb aaa eaaa d bbb bbb aaa aaa aaa bbb bbb aae daaa aaa bbf bbb aae aaad aaa fbbd bbb daad aaa daad bbb fbb daad eaaa eaa bbb fbb daa aaa aaa cbbc fbb eaa daaa aaa bbb fbb aaa aaad aae bbb fbb aaa aaa eaa dbbf fbb aaa eaaa aaa fbb fbb aaa aaa aaa bbb fbb aaa daaa aae bbb fbb aaa aaad daad cbbc cbb aaa aaa aaa bbb cbb aae eaaa aaa bbb cbb aad aaa aaa dbbf cbbd daad daaadaad fbb cbbd daad aaaaaa bbb cbbd eaa aaaaa bbb cbbd eaa eaaaa cbbc cbbd eggggggggggaaaggggggggge aaad bbb cbbc geeeeeeeeeeaaaeeeeeeeeeg daa bbb dbbc geeeeeeeeeeaaaeeeeeeeeeg dbbf dbbc geeeeeeeeeeaaaeeeeeeeeeg fbb dbbc geeeeeeeeeeaaaeeeeeeeeeg bbb dbbc geeeeeeeeeeaaaeeeeeeeeeg bbb dbbc geeeeeeeeeeaaaeeeeeeeeeg cbbc bbbbc geeeeeeeeeeaaaeeeeeeeeeg bbb bbbbbbbbfc geeeeeeeeeeaaeeeeeeeeeeg bbb dbbbbbbbbbbbbfeeeeeeeeeaaeeeeeeeeeeg dbbf dfbbbbbbbbbbbbfeeeaaaeeeeeeeeeeg fbb cfbbbbbbbbbbbaaaeeeeeeeeeeg bbb gefbbbbbbbaaabbfeeeeeeeg bbb geeeeefbbbaaabbbbbbfeeeg cbbd geeeeeeeeeaaabbbbbbbbbbbc bbb geeeeeeeeeaaaeeebbbbbbbbbbbbfc cbb geeeeeeeeeaaaeeeeeeefbbbbbbbbbbbbc geeeeeeeeeaaaeeeeeeeeeegdfbbbbbbbbbbbfc geeeeeeeeeaaaeeeeeeeeeeg cbbbbbbbbbbbbfd geeeeeeeeeaaaeeeeeeeeeeg dfbbbbbbbbbbbbc geeeeeeeeeaaaeeeeeeeeeeg cfbbbbbbbbbbbf geeeeeeeeeaaeeeeeeeeeeeg fbbbbbbbb geeeeeeeeeaaeeeeeeeeeeeg cfbbb geeeeeeeeaaaeeeeeeeeeeeg geeeeeeeeaaaeeeeeeeeeeeg geeeeeeeeaaaeeeeeeeeeeeg aaa aaa dddddddddeeeeeeaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaaaeeeeeddddddddd ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a7aba2ff b,#44adceff c,#bfe3eeff d,#e4eae9ff e,#c9cbc5ff f,#6fbdd4ff g,#97d1e3ff ``` ```image aaaaae aaaaae aaaaae daaaaae daaaaad daaaaad daaaaad eaaaaad eaaaaa eaaaaa eaaaaa eaaaaa aaaaae aaaaae aaaaae aaaaae daaaaae c daaaaad bbfgcd daaaaad bbbbbbbfgc daaaaad bbbbbbbbbbbfgcd eaaaaa bbbbbbbbbbbbbbbbfgc eaaaaa bbbbbbbbbbbbbbbbbbbbfaaaaaa gfbbbbbbbbbbbbbbbbbbbaaaaaacd dcgfbbbbbbbbbbbbbbaaaaaabbbfgd cgfbbbbbbbbbbaaaaaabbbbbbbfgcd dcgfbbbbbaaaaaabbbbbbbbbbbbfgc dcgfaaaaafbbbbbbbbbbbbbbbbfgcd daaaaafbbbbbbbbbbbbbbbbbbbb daaaaaecgfbbbbbbbbbbbbbbbbb daaaaad cgfbbbbbbbbbbbbb daaaaad dcgfbbbbbbbb eaaaaad cgfbbbb eaaaaa dcg eaaaaa eaaaaa eaaaaa aaaaae aaaaae aaaaae aaaaae daaaaae daaaaad daaaaad daaaaad eaaaaad eaaaaa eaaaaa eaaaaa aaaaaa aaaaae ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#a8aba2ff b,#44adceff c,#b5deebff d,#d9dad6ff e,#bfc1baff f,#7cc5dcff g,#e6eef0ff ``` ```image eaa aaad aaaa aaaae aaaaa cb aaaaaa bbb aaeaaad cbbb gaad aaa bbbb daag eaae bbbb daa aaa bbbb eaa daaa fbbbb eaa aaad bbbbb aaa aaa bbbbb aaa eaae cbbbbb aaa aaa bbbbbb aaa daaa bbbbbb aaa aaad bbfbbb aae aaa fbbgbbb aae eaae bbb bbb gaad aaa bbb bbb gaad daaa cbbc bbb daag aaad bbb bbb eaa aaa bbb bbb eaa eaae gbbf bbb aaa aaa fbbg bbb aaa daaa bbb bbb aaa aaad bbb bbb aaa aaa cbbc bbb aaa eaae g bbb bbb aaa aaa eaa bbb bbb aae gaaa aaa gbbf bbb aae aaad aaa fbbg bbb gaad aaa gaad bbb fbb daag eaae eaa bbb fbb daag aaa aaa cbbc fbb eaa gaaa aaa bbb fbb eaa aaad gaae bbb fbb aaa aaa eaag gbbf fbb aaa eaae aaa fbbg fbb aaa aaag aaa bbb fbb aaa gaaa aae bbb fbb aaa aaad daag cbbc fbb aae aaa aaa bbb cbbg aae eaae aaa bbb cbbg gaad aaag aaa gbbf cbbg gaad gaaadaad fbbg cbbg daag aaaaaa bbb cbbg eaa aaaaa bbb cbbg eaa eaaaa cbbc cbbc aaa aaad bbb cbbc aaa gaa bbb cbbc aaa gbbf gbbc aaa fbb gbbc aaa bbb gbbc aaa bbb gbbc aae cbbc gbbbbcg aae bbb bbbbbbbbfc gaad bbb cbbbbbbbbbbbbfg daag gbbf gfbbbbbbbbbbbfc daag fbb cfbbbbbbbbbbbaaa bbb gfbbbbbbbaaabbc bbb cfbbaaabbbbbbfg fbbc aaabbbbbbbbbbbc bbb aaa cfbbbbbbbbbbbfc cbb aaa cbbbbbbbbbbbbfg aaa gfbbbbbbbbbbbfc aae cbbbbbbbbbbbbfg aae gfbbbbbbbbbbbbc aad cfbbbbbbbbbbbf gaad gfbbbbbbbb daag cfbbb eaa eaa aaa aaa aaa ggggddddddeeeeeeeaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad aaaaaaaaaaaaeeeeeeeddddddggggg ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#a9d963ff b,#b9f4bcff c,#a2cfa0ff d,#d8f6cfff e,#92d124ff f,#b2d8b1ff g,#eff8eeff ``` ```image gbb bbb gbb bbd gbb bbd dbb bbd dbb bbg dbb bbg bbb bbg bbb bb dfg bbb aeeeeeead ggggggggggggggggggggbbgg eeeeeeeeeeeeeeacccccccccccccccccbbbccg deeeb gfaeeeeeeeeeefffffffffffffbbffcg aeee daeeeeeafffffffffffbbbffcg eeea cfffaeefffffffffffbbfffcg aef deeeb cffffeeafffffffffbbbfffcg eeeeg aeeeg cffffaeefffffffffbbffffcg eeeeea eeea cfffffeeafffffffbbbffffcg bee eeeed deeeb cfffffaeeffffffbbbfffffcg eea deeee aeeeg cffffffeeafffffbbffffffcg eed aeeeb eeee cffffffaeeffffbbbffffffcg ee geeee deeeb cfffffffeeafffbbfffffffcg dee aeeea aeeeg cfffffffaeeffbbbfffffffcg aea eeeeeeee cffffffffeeafbbffffffffcg eed deeeeb cffffffffaeebbbffffffffcg ee aeg cfffffffffeeabfffffffffcg gee cfffffffffaeebfffffffffcg aee cffffffffffeecfffffffffcg eef cfffffffffbaeefffffffffcg ee cfffffffffbbeecffffffffcg gee cffffffffbbbaeeffffffffcg fee cffffffffbbffeecfffffffcg eea cfffffffbbbffaeefffffffcg eeg cfffffffbbffffeecffffffcg ee cffffffbbbffffeeeffffffcg bee cfffffbbbffffffeecfffffcg cccceeeccccccccg cfffffbbfffffffeeefffffcg ffffeecfffffffcg cffffbbbffffffffeecffffcg ffffeeffffffffcg cffffbbfffffffffeeeffffcg fffceeffffffffcg cfffbbbffffffffffeeffffcg fffaeeffffffffcg cfffbbfffffffffffeeefffcg fffeeaffffffffcg cffbbbffffffffffffeefffcg fffeefffffffffcg cffbbfffffffffffffeeeffcg ffceefffffffffcg ccbbbcccccccccccccceecccg ffaeefffffffffcg ggbbgggggggggggggggeeegg fffbbbbfffffffcg bbb gee ffffbbbbffffffcg gbb eee ffffffbbbbffffcg bbb gee fffffffbbbbfffcg gbb eea ffffffffbbbbffcg bbd gee ffffffffffbbbbcg gbb eea fffffffffffbbbbg bbd dee fffffffffffffbbbg dbb eea ffffffffffffffbbbd bbd dee ffffffffffffffcbbbb dbb eea ffffffffffffffcgdbbbg bbg dee ffffffffffffffcg bbbd dbb eea cccccccccccccccg bbbb bbg dee ggggggggggggggg gbbbg bbb eea bbbd bbg bee bbbb bbb eea gbbbg bb bee bbbd bbb eef bbbb bb fee gbbbg bbb f bbbd gbb bbbb bbd gbbbg gbb bbbd bbd dbbb gbb gbbbgbbd bbbbb dbbd gd ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3da4fff b,#b8f5bdff c,#b6e173ff d,#d3f7d1ff e,#92d124ff f,#cfea9fff g,#edfbebff ``` ```image ceeee aeeec geeeef feeeed ceeee aeeea geeeef deeeed feeeeg aeeea eeeec deeeef feeeeg ceeea eeeec geeeef feeeed aeeeebd bcaeabbd gbbbbbbbg gdbbbbbbd dbbbbbbd gbbbbbbbg dbbbbbbd dbbbbbbd gbbbbbbbg dbbbbbbd dbbbbbbd gbbbbbbbg dbbbbbbd dbbbbbbd gbbbbbb dbbbb dbbb gbb d ``` <!-- end of image --> It's a shame, but area A doesn't contain an intersection. Now, let's dive into another area. Time to investigate area B up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#a3d848ff b,#b8f5bdff c,#bce37cff d,#d4f7d0ff e,#92d124ff f,#d1eba2ff g,#edfbeaff ``` ```image dbbbbg accfg gbbbbb eeeeeeacfdg dbbbbg eeeeeeeeeeef gbbbbd eeeeeeeeeeeeg dbbbbg caeeeeeeeeeec gbbbbd gfcaaeeeeeg bbbbbg feeeec gbbbbd aeeeeg bbbbbg feeeec gbbbbd aeeeeg bbbbb feeeec gbbbbd aeeeeg bbbbb feeeec dbbbbd aeeeeg bbbbb feeeec dbbbbd aeeeeg bbbbb feeeef dbbbbg eeeeeg gbbbbb feeeef dbbbbg eeeee gbbbbb feeeef dbbbbg geeeea gbbbbd ceeeef dbbbbg geeeea gbbbbd ceeeef bbbbbg geeeea gbbbbd ceeeefbbbbbg geeeeabbbbd ceeeecbbb geeeeabbd ceeeecb geeeead aeeeef dbeeeea gbbaeeeed dbbbeeeea gbbbbaeeeed dbbbbdeeeea gbbbbd ceeeed dbbbbg deeeea gbbbbd aeeeed bbbbbg deeeea gbbbbd aeeeed bbbbbg deeeec gbbbbd aeeeeg bbbbb deeeec gbbbbd aeeeeg bbbbb deeeec dbbbbd aeeeeg bbbbb feeeec dbbbbd aeeeeg bbbbb feeeec dbbbbg aeeeeg gbbbbb feeeec dbbbbg aeeeeg gbbbbb feeeec dbbbbg aeeeeg gbbbbd feeeec dbbbbg aeeeeg gbbbbd feeeec bbbbbg eeeeeg gbbbbd feeeef bbbbbg eeeee gbbbbd feeeef bbbbb geeeee ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#a4d849ff b,#b9f6bdff c,#b8e173ff d,#d8f7d3ff e,#92d123ff f,#d0eba1ff g,#edfbeaff ``` ```image gbb bbb gbb bbd gbb bbd dbb bbd dbb bbg dbb bbg bbb bbg bbb bb gfg bbb ceeeeeecf gbb eeeeeeeeeeeeeafg bbb deeef gfaeeeeeeeeee gbb ceee dceeeeec bbd eeea fee gbb aef deeef eec bbd eeeeg ceee fee dbb eeeeec eeea eec bbd fee eeeed deeef fee dbb aec deeea ceeeg eef bbg eed aeeef eeea fee dbb ee geeee geeef eef bbg dee ceeec ceeeg fee bbb aea eeeeeeea eef bbg eef feeeef ceebbb ee aeg eecb gee ceeb cee eef eef baee ee gbbeed gee bbbcee fee gbb eed eec bbd aee eeg gbb eed ee bbd aee fee dbb eeg aec bbd aee eed dbb eeg ee bbg aee dee dbb eeg aea bbg aee eef bbb eeg ee bbg eee gee bbb gee aeed bb eea bbbb bbb gee dbbb gbb eea bbbd bbb gee bbbb gbb eea dbbb bbd gee bbbd gbb eea bbbb bbd dee dbbbg dbb eea bbbd bbd dee bbbb dbb eec dbbbg bbg dee bbbd dbb eec bbbb bbg fee gbbbg bbb eec bbbd bbg fee bbbb bbb eec gbbbg bb fee bbbd bbb eef bbbb bb fee gbbbg bbb f bbbd gbb bbbb bbb gbbbg gbb bbbd bbd dbbb gbb gbbbgbbd bbbbb dbbd gd ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#04c79fff b,#f97a4cff c,#98e7d7ff d,#f9b69cff e,#eff1eaff f,#51d4b5ff g,#afd6afff ``` ```image afcc aaaaaaaaafcc aaaaaaaaaaaaaaaaafce aaaaaaaaaaaaaaaaaaaaaaaaafce ecfaaaaaaaaaaaaaaaaaaaaaaaaafce ecfaaaaaaaaaaaaaaaaaaaaaaaaafce ecfaaaaaaaaaaaaaaaaaaaaaaaaafce ecfaaaaaaaaaaaaaaaaaaaaaaaaafce ccfaaaaaaaaaaaaaaaaaaaaaaaaffce ccfaaaaaaaaaaaaaaaaaaaaaaaafcc cffaaaaaaaaaaaaaaaaaaaaaaaa ecffaaaaaaaaaaaaaaaaa ecfaaaaaaaaaa efaaa faaa faaa faaa caaa caaa ggggggggggggfaaagggg eggggggggggggfaaagggg eggggggggggggfaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaagggg egggggggggggggaaadggg egggggggggggggaaabggg eggggggggggggbaaabbgg egggggggggggbbaaadggg eggggggggggbbbaaagggg egggggggggbbbbaaagggg egggggggbbbbbbaaagggg eggggggbbbbbbgaaafggg egggggbbbbbgggaaafggg eggggbbbbbggggaaafggg eggbbbbbbgggggaaafggg egbbbbbbggggggaaafggg ebbbbbggggggggaaafggg ebbbbbgggggggggaaafggg dbbbbbggggggggggaaafggg bbbbbbgggggggggggaaafggg bbbbbdeeeeeeeeeeeeaaafeee bb ebbbbbe aaaf dbbbe dbbbbb aaaa bbbb bbbbbd aaaa dbbbe bbbbbd aaaa bbbb ebbbbbe aaaa dbbbd dbbbbb faaa bbbb bbbbbb faaa ebbbd bbbbbd faaa bbbb ebbbbbe faaa ebbbd dbbbbb faaa bbbb bbbbbb caaa bbbb bbbbbd caaa bbbb ebbbbbe caaa bbbb dbbbbb caaa dbbbe bbbbbb caaa bbbb bbbbbd caaa dbbbe ebbbbbe eaaa bbbb dbbbbb eaaa dbbbd bbbbbb eaaa bbbb bbbbbd eaaa ebbbd ebbbbbe aaa bbbb dbbbbb aaa ebbbd bbbbbb aaa bbbb bbbbbd aaa bbbb ebbbbbe aaa bbbb dbbbbb aaae bbbb dbbbbb aaae dbbbe bbbbbd aaae bbbb ebbbbbe dbbbe dbbbbb bbbb dbbbbb dbbbdbbbbbd bbbbbbbbe ebbbbbb bbbbb ebbd ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#03c79fff b,#f97a4cff c,#7fe2ceff d,#faad91ff e,#fddfd5ff f,#43c6a3ff g,#bbefe5ff ``` ```image caaaaaac caaaaaac caaaaaac gaaaaaac gaaaaaac gaaaaaac gaaaaaac gaaaaaac gaaaaaac gaaaaaac gaaaaaaf gaaaaaaf gaaaaaaf aaaaaaf aaaaaaf aaaaaaf aaaaaaf aaaaaaf aaaaaaf aaaaaaa aaaaaaa aaaaaaad aaaaaaabe faaaaaabbe faaaaaabbb dfaaaaaabbbe ebbfaaaaaabd ebbbfaaaaaad dbbbbfaaaaaa dbbbbbfaaaaaag ebbbbbbbfaaaaaag ebbbbbbbbfaaaaaag dbbbbbbbbbfaaaaaag dbbbbbbbbbbfaaaaaag ebbbbbbbbbbbecaaaaaag ebbbbbbbbbbd caaaaaag dbbbbbbbbbbd caaaaaag dbbbbbbbbbbe caaaaaag ebbbbbbbbbbbe caaaaaag ebbbbbbbbbbd caaaaaac dbbbbbbbbbbd caaaaaac dbbbbbbbbbbe caaaaaac ebbbbbbbbbbbe gaaaaaac ebbbbbbbbbbd gaaaaaac dbbbbbbbbbbd gaaaaaac dbbbbbbbbbbe gaaaaaac bbbbbbbbbbe gaaaaaac bbbbbbbbd gaaaaaac bbbbbbbd gaaaaaac bbbbbbe gaaaaaaf bbbbbe gaaaaaaf ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#03c79fff b,#f97a4bff c,#82e3cfff d,#faa88aff e,#fcd6c8ff f,#41d4b6ff g,#c4f1e8ff ``` ```image afcg aaaaaaaaafcg aaaaaaaaaaaaaaaaafcg faaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaafcg gcfaaaaaaaaaaaaaaaaaaaaaaaa gcfaaaaaaaaaaaaaaaaf gcfaaaaaaaaa gfaaa faaa faaa caaa caaa caaa caaa caaa gaaa gaaa gaaa gaaa gaaa aaa aaa aaa aaad aaabe daaabb bbaaad bbbaaag ebbbbaaag dbbbbbaaag bbbbbd aaag bbbbbe aaag ebbbbb aaac dbbbbb aaac bbbbbd aaac bbbbbe aaac ebbbbb aaac dbbbbb aaaf bbbbbd aaaf bbbbbe aaaf bb ebbbbb aaaf dbbb dbbbbb aaaf bbbb bbbbbd aaaa dbbbe bbbbbe aaaa bbbb ebbbbb faaa ebbbe dbbbbb faaa bbbb bbbbbd faaa ebbbd bbbbbe faaa bbbb ebbbbb faaa bbbd dbbbbb caaa bbbb bbbbbd caaa bbbb bbbbbe caaa bbbb ebbbbb caaa bbbb dbbbbb caaa dbbb bbbbbb gaaa bbbb bbbbbd gaaa dbbbe bbbbbe gaaa bbbb ebbbbb gaaa ebbbe dbbbbb gaaa bbbb bbbbbd aaa ebbbd bbbbbe aaa bbbb ebbbbb aaa bbbd dbbbbb aaa bbbb bbbbbd aaa bbbb bbbbbe aaa bbbb ebbbbb aaa bbbb dbbbbb aaag dbbb bbbbbd aaag bbbb bbbbbe dbbbe ebbbbb bbbb dbbbbb ebbbebbbbbd bbbbbbbbe ebbbbbb bbbbb bbd ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#823178ff b,#1a1717ff c,#9e8a9aff d,#dbd0daff e,#5a5e58ff f,#b1d7b1ff g,#96c896ff ``` ```image cbb ebb bbc bb dbb ebb dac bbe caac bbd aaad bb aaa cbb aaa bbe aaa bbf aaa bb daaa fbb daac ebb caac bbc caad bb aaad bb aaa cbb aaa bbe aaa bbf aaa bb daac fbb caac ebb caad bbc aaad bb aaa dbb aaa ebb aaa bbe aaa bbd daaa bb daac cbb caad bbe aaad bbc aaa bb aaa dbb aaa ebb aaa bbc daaad bbd aaac bb aaaa cbb caaa bbe daaad bbf aaac bb aaaa fbb caaa ebb daaad bbc aaac bb aaaa dbb caaa fggggggggggggggggebbggggggf daaad gffffffffffffffffbbeffffffg aaac gffffffffffffffffbbgffffffg aaaa gffffffffffffffffbbfffffffg caaa gfffffffffffffffebbfffffffg daaagfffffffffffffffbbbfffffffg aaacffffffffffffffbbcfffffffg aaaafffffffffffffbbffffffffg aaaafffffffffffgbbffffffffg gcaaagfffffffffebbffffffffg gffaaacffffffffbbeffffffffg gfffaaaafffffffbbgffffffffg gffffaaaaffffffbbfffffffffg fbbbbecd gfffffcaaagfffebbfffffffffg cbbbbbbbbbbbbecd gfffffffaaacffbbefffffffffg dcebbbbbbbbbbbbbbbbecd gffffffffaaaafbbcfffffffffg dcebbbbbbbbbbbbbbbbecd gfffffffffaaaabbffffffffffg dcebbbbbbbbbbbbbbbbecd gffffffffffcaaabffffffffffg dcebbbbbbbbbbbbbbbbecd gffffffffffffaaacfffffffffg dcebbbbbbbbbbbbbbbbecgffffffffbaaaaffffffffg dcebbbbbbbbbbbbbbbbecgbbaaaafffffffg deebbbbbbbbbbbbbfcaaaffffffg gffffffgeebbbbbfffaaacffffg gffffffffffffffffffaaaafffg gfffffffffffffffffffaaaaffg gffffffffffffffffffffcaaafg gffffffffffffffffffffffaaac gfffffffffffffffffffffffaaac gffffffffffffffffffffffffaaaa gfffffffffffffffffffffffffcaaa gfffffffffffffffffffffffffgdaaa gfffffffffffffffffffffffffg ad gfffffffffffffffffffffffffg gfffffffffffffffffffffffffg ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#812f77ff b,#191616ff c,#b5a0b2ff d,#dcd1daff e,#7d7c7cff f,#4b4348ff g,#9c5b94ff ``` ```image cbbbbc ebbbbd fbbbf bbbbe cbbbbc ebbbbd fbbbb bbbbf dbbbbe cbbbbc ebbbb gd fbbbf aad dbbbbe aaac cbbbbc aaaag ebbbbd aaaaagd fbbbb gaaaaaad bbbbf gaaaaaac dbbbbe caaaaaag ebbbbd daaaaaagd fbbbb dgaaaaaad bbbbf gaaaaaac dbbbbe caaaaaag cbbbbc daaaaaagd ebbbbd dgaaaaaad fbbbf gaaaaaac bbbbe caaaaaag cbbbbc daaaaaagd ebbbbd dgaaaaaad fbbbb gaaaaaac bbbbf caaaaaag dbbbbe daaaaaagd cbbbbc dgaaaaaadebbbb gaaaaaafbbbf caaaaaafbbe daaaaaaabc daaaaaaac gaaaaaac dd faaaaaag bbbffeecdd dbfaaaaaagd bbbbbbbbbbbffeecdd cbbbaaaaaaad bbbbbbbbbbbbbbbbbbbffeecddfbbbbgaaaaaac bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf caaaaaag ceeffbbbbbbbbbbbbbbbbbbbbbbbbbe caaaaaagd ddceeffbbbbbbbbbbbbbbbbbc daaaaaaad ddceeffbbbbbbbbb gaaaaaac ddceefed caaaaaac caaaaaag daaaaaaad gaaaaaac caaaaaac caaaaaag daaaaaaa dgaaaaa gaaaa caaa daa dg ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#822f78ff b,#191616ff c,#b7a3b4ff d,#dcd2dbff e,#646262ff f,#383635ff g,#9a7795ff ``` ```image cbb fbf bbc bb dbb ebb dag bbe gaac bbd gaad bb aaa gbb aaa fbf aaa bbc aaa bb daaa cbb daag ebb caac bbg gaad bb aaad bb aaa gbb aaa bbe aaa bbd aaa bb daag cbb caac fbf gaad bbg aaad bb aaa dbb aaa ebb aaa bbe aaa bbd daag bb caag gbb gaac fbf aaad bbc aaa bb aaa dbb aaa ebb aaa bbg daaad bbd aaag bb aaaa gbb caaa bbe daaad bbc aaag bb aaaa cbb gaaa fbf daaad bbg aaag bb aaaa dbb gaaa ebb daaad bbe aaac bbd aaaa bb gaaa cbb daaad fbf aaac bbc aaaa bb gaaa dbb daaad ebb aaac bbg aaaa bbd gaaa bb cbbbfecd daaad gbb gbbbbbbbbbbbfecd aaac bbe dgebbbbbbbbbbbbbbbfecd aaag bbc dgebbbbbbbbbbbbbbbfecd gaaabb dgebbbbbbbbbbbbbbbfecd caaab dgebbbbbbbbbbbbbbbfecd aaac dgebbbbbbbbbbbbbbbfecd baaag dgebbbbbbbbbbbbbbbfecdbbgaaa dgebbbbbbbbbbbbb caaad dgebbbbf aaac aaag gaaa caaa daaac aaag gaaa caaa daaa ad ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#9ad16cff b,#b26c39ff c,#b69f74ff d,#eff5edff e,#84c933ff f,#b2d7b1ff g,#a4cf9fff ``` ```image dgffffffffffffffffffffffffffffffffffffffffffffffffffffff dgffffffffffffffffffffffffffffffffffffffffffffffffffffff dgffffffffffffffffffffffffffffffffffffffffffffffffffffff dgfffffffffaffffffffffffffffffffffffffffffffffffffffffff dgffffffffgeefffffffffffffffffffffffffffffffffffffffffff dgffffffffeeeeffffffffffffffffffffffffffffffffffffffffff dgfffffffaeffeafffffffffffffffffffffffffffffffffffffffff dgfffffffeaffgeaffffffffffffffffffffffffffffffffffffffff dgffffffeeffgbeegfffffffffffffffffffffffffffffffffffffff dgfffffaefffbbbeebbcffffffffffffffffffffffffffffffffffff dgfffffeafffbgffeebbbbbcffffffffffffffffffffffffffffffff dgffffeefffbbffffeeffcbbbbbcffffffffffffffffffffffffffff dgfffaeffffbcffffgeafffffcbbbbbcffffffffffffffffffffffff dgfffeafffcbffffffaegffffffffcbbbbbcffffffffffffffffffff dgffeeffffbbfffffffeeffffffffffffcbbbbbcffffffffffffffff dgfgegfffgbfffffffffeefffffffffffffffcbbbbbcffffffffffff dgfeeffffbbffffffffffeeffffffffffffffffffcbbbbbcffffffff dgeefffffbcffffffffffgeafffffffffffffffffffffcbbbbbgffff dgegffffcbffffffffffffaegfffffffffffffffffffffffgcbbgfff deefffffbcfffffffffffffeefffffffffffffffffffffffffffffff aefffffgbfffffffffffffffeeffffffffffffffffffffffffffffff deafffffbbffffffffffffffffeefffffffffffffffffffffffffffff eegfffffbgfffffffffffffffffeaffffffffffffffffffffgeffffff gedgffffcbffffffffffffffffffgegfffffffffffffffffffeeffffff egdgffffbcfffffffffffffffffffaeffffffffffffffffffaeeffffff ee dgfffcbfffffffffffffffffffffeefffffffffffffffffeaegfffff fed dgfffbbffffffffffffffffffffffeefffffffffffffffeefeafffff ea dgfffbffffffffffffffffffffffffeefffffffffffffgeffeafffff ee dgffbbffffffffffffffffffffffffgeaffffffffffffeeffeefffff ded dgffbcfffffffffffffffffffffffffaegffffffffffeefffaefffff ea dgfcbfffffffffffffffffffffffffffeefffffffffgegfffaefffff ae dgfbcffffffffffffffffffffffffffffeeffffffffeeffffgefffff ded dggbffffffffffffffffffffffffffffffeeffffffaeffffffefffff ee dgbbffffffffffffffffffffffffffffffgeafffffeaffffffegffff ae dgbgfffffffffffffffffffffffffffffffaegfffeefffffffeaffff ef dcbfffffffffffffffffffffffffffffffffeeffgegfffffffeaffff ee dbcffffffffffffffffffffffffffffffffffeefeeffffffffeeffff fe fbffffffffffffffffffffffffffffffffffffeeefffffffffaeffff eg bbgggggggggggggggggggggggggggggggggggggeagggggggggaegggg ee bddddddddddddddddddddddddddddddddddddddddddddddddddedddd fed cb e ea bf ed ee fb ded bc ea db ae bb def bf ee cb ge bc ef db ee bb fe bd ea cb ee bc fed fb ea bb dgggggggeeggggggg dbd dgfffffgegffffffg bb dgfffffeefffffffg bf dgffffaeffffffffg fb dgffffeaffffffffg bc dgfffeebffffffffg db dgffaebbcfffffffg bb dgffeebcbgffffffg bd dgfeebbfbbffffffg cb dgfefbcffbbfffffg bc dgfffbcfffbbffffg db dgfffbgffffbbfffg bb dgfffbfffffgbcffg bd dgffgbffffffcbgfg cb dgffcbfffffffbbfg bf dgffbbffffffffbbgfb dgffbbfffffffffbbbc dgffbcffffffffffbb dgffbcffffffffffab dgffbfffffffffffg dgffbfffffffffffg dgfgbfffffffffffg dgfcbfffffffffffg dgfbbfffffffffffg dgfbbfffffffffffg dgfbcfffffffffffg dggbcgggggggggggg ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#b3de81ff b,#b26a36ff c,#d4ac90ff d,#e3d6bfff e,#87c936ff f,#f2eee3ff g,#c1885fff ``` ```image eeea aeee feeef aeea deee feeed aeea deeef feeed aeeef deeebg eeebbbc aeeebbbbc feeebbcbbbd eeeebbfcbbbf aeeegbb gbbgf feeefbbg gbbg aeeafbbg fbbbc dee dbbc dbbbc f dbbc dbbbd cbbd cbbbf cbbd gbbgf gbbf gbbg gbb fbbbc bbg dbbbc fbbg dbbbd dbbc cbbbf dbbc gbbgf cbbd gbbg cbbd fbbbc gbbf dbbb gbb dbb bbg cb fbbg g dbbc dbbc cbbd cbbf gbbf gbb bbg fbbg dbbc dbbc cbbd cbbf gbbf bbb bbg fbbg dbbc dbbc ``` <!-- end of image --> No luck this time. Area A doesn't have an intersection. Now, let's dive into another area. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#a4d767ff b,#b26b37ff c,#dcbca5ff d,#e8ecd3ff e,#84ca33ff f,#c4e59dff g,#c89570ff ``` ```image ff feea eeeef eeeeed feefeeed deed aeea aea aeea fee deeef eee deeef aeea ccaeeed deeed dbbbeeeed eeef gbbbbeeeegcd feea dbbbgbbeeeebbbgcd deeed cbbc dceeebbbbbbbgcd aeef bbbd feeegbbbbbbbbbgcd feea cbbg aeeeddcgbbbbbbbbbgcd deeed gbbd aeea dcgbbbbbbbbbgcd aeef dbbb eeea dcgbbbbbbbbbgd feee gbbc deeef dcgbbbbbbbbgcd deeed bbb feeed dcgbbbbbbbbgcd aeea bbg feeed dgbbbbbbbbbgcd eeef dbg eeea dcgbbbbbbbbbgcd aeea gbc deeef dcgbbbbbbbbbgc deeed bb deeed dcgbbbbbbbbbgc eeef cbc feeed dcgbbbbbbbbggc feea bbd aeee dcgbbbbbbbbgcd deeed cbb aeea ccgbbbbbbbbcd aeef gbb deeef cggbbbbbbbgcd feea dbbb deeef cgbbbbbbbbd deeed cbbc feeed cgbbbbb aeef bbb aeee dcgg feee cbbg aeea eeed gbbd deeea eea dbbg deeef ee gbbc feeed ef bbb feeed a cbbg aeea d bbbd eeea eed dbbg deeef eef gbbc deeed deea dbbb feeed eeea cbbc aeea feeee bbbd aee deeeee cbbg deef aeeaeed gbbd deef feeafeed dbbb feed deeedfeef gbbc eee aeea deef bbb aeea deee deea cbbg deeef eeef eea gbbd deeef feea eee dbbg feeed deeed aee gbbc aeeed aeef aeed cbbc eeea eeed feef bbbd deeef aeea deef cbbg feeed deee deea gbbc feeed eeef eea dbbb aeea feea eee cbbc eeea deeed aee bbb deeef aeef aeed cbbg deeed feee feed gbbd feeed eeed feef dbbg aeee aeea deef gbbc aeea deeed deea bbb deeef eeef eea cbbg deeef feea eee bbbd feeefeeed aee bbg aeeeeef aeed bbc aeeee feef ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area B. Answer: A: 0; B: 1; 0 + 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9fd45eff b,#b26a36ff c,#d8b49aff d,#e6e8ceff e,#84ca32ff f,#c0e396ff g,#c1875dff ``` ```image f dee eaee ae ea ed ded ee dbeed fe bbgeebbc ef bd eegbbbbc ee gb ea cbbbbbc fe bc def cbbbbbc ea cb fed cbbbbbc ee bg ae cbbbbgc ded b ee cbbbbgd ea gb ea cbbbbgd ae bd def cbbbbgd ded cb fed cbb ee bg ae ae db ee ef bb ee ee bd ea de fe gb ded ee ef bc ae fee ee db ee efed fe bg ee ee ef ea b ea de ea ee gb def ea ee ded bc fe ae ae ea cb ee ed fe ae bg ee ee de ed db ea fe e ee bb def ef ed fe bd fed ee ef ef cb ae de ea ee bc ee ea ae fe db eee fe ef bb ed de ee bd e de gb e ea bc ed ae cb ded bg ea b ae gb ed bd ee cb fe bg ef db ee bb fe bd ef gb ee bc de db ea bg ae b ded gb ea bc ae cb ed bg eeg db febbc bb eabcbd bd eebg gb cb e bc bb bc bc bb db b bg bb b dbc bd db cbd gb cb gb bc gb bb cb bg bbbg bc bb bd dg b b db cb gb bg bc bd ``` <!-- end of image -->
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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,#a9a413ff b,#e2f69eff c,#b1d7b0ff d,#f1f6e5ff e,#d1d084ff f,#b9b94dff g,#9ac993ff ``` ```image d aa aead ea da da ab ad a ff ff ba a a ba ab ad fa da da ae ad a ae ef ea ad a da ad ab ff a da ff a a ae ea ea ad da da ad ae af a ba ff a a ab ba ff ad b da da bb ad fe bb ae a bb ea ea bb da dddaddddddddddddddddddd bb ad dgccgaccccccccccccccccccg bb ff dccccagcccccccccccccccccg bb ba dcccccacccccccccccccccccg bb a dcccccffccccccccccccccccgbb ab dccccccaccccccccccccccccbb fa dccccccgaccccccccccccccbe da dcccccccagccccccccccccbbg ad dccccccccacccccccccccbbcg ae dccccccccafccccccccbbcccg d dcccccccccacccccccbbccccg dcccccccccfaccccbbccccccg dccccccccccaccbbccccccccg dccccccccccgabccccccccccg dccccccccccbagccccccccccg dccccccccbbccaccccccccccg dccccccbbccccffcccccccccg dccccbbcccccccacccccccccg dcccbbccccccccfaccccccccg dcbbcccccccccccagcccccccg bbccccccccccccccacccccccg bbdcccccccccccccccafccccccg dbb dccccccccccccccccaccccccg bb dccccccccccccccccfacccccg bbd dcccccccccccccccccacccccg bbd dcccccccccccccccccgaccccg dbb dccccccccccccccccccagcccg bb gggggggggggggggggggagggc bbd fe bbd a dbb ea bb ad bbd da bbd ab dbb a bb ff a bbd a af bbd ba ff dbb ad fa bb da ea bbd feea bbd aa dbb b bb bbd bbd bb ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#b6b235ff b,#e2f995ff c,#a9a30eff d,#f5f9deff e,#dbd89cff f,#c9c569ff g,#ebf3beff ``` ```image eccd acf dccg fca dcce eca acf gccd fcf dccg fca ace d eccd db acf dbb gccg dbbg fca dbbg dcce dbbg eca dbbbg ace gbbbd gccd gbbbg fcf dbbbg dccg dbbbbd fca gbbbd dcce gbbbg eccd dbbbg acfdbbbbd gccbbbd gacag dbbbccg dbbbbdeca gbbbd ace gbbbg eccd dbbbg acf dbbbbd dccg gbbbd fca gbbbg dcce dbbbgd ecc dbbbbd acf gbbbd gccd gbbbg fcf bbgd dccg bd fca ace eccd acf gccg fca dcce eca acf gccd fcf dccg fca ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b3ae2eff b,#e2fa96ff c,#a8a30eff d,#f3f6daff e,#d3d085ff f,#c2be57ff g,#e7f0b3ff ``` ```image ca cecd ec dc c cg cd c af ff gc c c gc cg cd fa dc dc ae cd c ae ea ec c c gc cg cg ff c gc ff c c ce ea ea cd dc dc cd ae af c gc ff c c cg gc fa cg b dc c bb c ae bb ce c bg ec ea bg c cd bg cd dc bg af cg bg gc c bg c ff bg cg c bg fa gc bg dc cd bg cd dc bg ae ae gbd d c dbg ea bb c bb gcbd dbcg bb c bb ff gbd c dbg ea bb cd bb dc gbd ae dbg c bb ff bb c gbd gc dbg cg bb c bb ae gbd c dbg ea bb cd bbd dc gbd cg dbg c bb ff c bbd c af gbd gc aa dbg cd fa bb dc fc bbd aeec gbd cc dbg g bb bbd gbd bg ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I've spotted 1 narrow regions that might be worth examining further. Let's call them area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#1e6a37ff b,#59eea5ff c,#8fc095ff d,#afd8b2ff e,#17ec87ff f,#508c62ff g,#e6f5ecff ``` ```image c aa aa af af af ac gad gad gag dag ca ca fa fa aa aa af af b af de ac geg gad ed gad eb gag be dag ge ca eg cagggggggggggggggggggggg dee eb gfadddddddddddddddddddddc beedeg ee gdfaddddddddddddddddddddc deeb eg be gddaadddddddddddddddddddc beed eg ge gdddaaddddddddddddddddddc deeb ed eg gddddaadddddddddddddddddc beed ed eb gdddddafddddddddddddddddcgeeb bb be gddddddafddddddddddddddbeed bbde gdddddddafddddddddddceeec bbeg gddddddddacdddddddbeebddc bed gdddddddddacdddceeedddddc db gdddddddddcacbeebdddddddc gddddddddddeaeddddddddddc gdddddddbeebcaddddddddddc gdddddeeeddddfadddddddddc gddbeebdddddddfaddddddddc geeedddddddddddfadddddddc beebddddddddddddddaaddddddc deeggddddddddddddddddaadddddc ed gdddddddddddddddddaaddddc e gddddddddddddddddddafdddc ge gdddddddddddddddddddafddc bb gddddddddddddddddddddafdc eg gdddddddddddddddddddddacc e gcddddddddddddddddddddcac ge ggggggggggggggggggggggdag bb dag f eg da da e ca ag ge fa af bb fa ca eg fa ag e aa ac de af fa eb af ga eg af ad e ac fa de gad da ed gad ad e gag af e dag ca de da ag ed ca ac e fa fa ge faga ee fac beb c gee beb gee bed gee eeg ee ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#1d6a36ff b,#6ef3b4ff c,#a5c3afff d,#74a383ff e,#1aeb88ff f,#49865dff g,#cbefddff ``` ```image aad daad daad faac faac faac gfaag gaaag gaaag gaaag caafg caaf caaf caaf daad gb daad beee daad gbeeeee faac beeeeebg faac gbeeeeeb faac beeeeebg gfaag gbeeeeeb gaaag beeeeebg gaaaggbeeeeeb gaaaeeeebg gbeaaaebg geeeeeaaf gbeeeeebgcaaf gbeeeebg caaf gbeeeeebg daad gbeeeebg daad gbeeeeebg daad gbeeeebg faac beeeeebg faac eeebg faac ebg gfaag gaaag gaaag gaaag caafg caaf caaf caaf daad daad daad faac faac faa ``` <!-- end of image --> Area A contains 1 intersection. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#206b38ff b,#4ff1a4ff c,#95b8a0ff d,#90f6c5ff e,#17ec87ff f,#5b926dff g,#d1ecdeff ``` ```image c aa aa aa af af ac ac gag gag gag ca ca fa fa aa aa aa af b af de ac e ac ed gag eb gag be gag ge ca eg ca dee ed fa beedeg ee fa deeb eg de aa beed eg ge aa deeb ed eg aa beed ed eb af geeb bd be af beed bdde ac geeb bbe ac beed bed gag geee db gagbeed geaeg deedca geeeg ca deed fa geeeg fa deed aa deeg aa ed aa e af e af bb ac eg ac e gag ge gag bb gag f eg ca ga e ca ag ge fa af bb fa ca eg aa ag e aa af ge aa fa bd af ga e af ac e ac fa de ac ga ed gag ag e gag af e gag ca de ca ag ed ca af e fa fa e faga eb aac deb c ee bed gee bed gee eeg eb ``` <!-- 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,#e0e121ff b,#eef5ecff c,#f1f2a1ff d,#d5e15fff e,#b1d7b1ff f,#c3d7c8ff g,#96ca96ff ``` ```image b bff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff ffff eggggggggggggggggggggggggggggggggggggggggggggb bfff geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb bfffgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb bfffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb bfffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb bfffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb efffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb gefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geeeeeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeeb geddeeeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeeb gaaaaadeeeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeeb daaaaaaaadeeeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeeb bac aaaedaaaaaaaaeeeeefffeeeeeeeeeeeeeeeeeeeeeeeeb daaa aaaeeeeedaaaaaaaadeefffeeeeeeeeeeeeeeeeeeeeeeeb caaaac daadeeeeeeeedaaaaaaaadfffeeeeeeeeeeeeeeeeeeeeeeb aaaaa caaaeeeeeeeeeeeeeaaaaaaaadfeeeeeeeeeeeeeeeeeeeeeb daaaab aaageeeeeeeeeeeeeeeedaaaaaaadeeeeeeeeeeeeeeeeeeecaaaad aaabgeeeeeeeeeeeeeeeeeeedaaaaaaaaeeeeeeeeeeeeeeeaaaaa daad geeeeeeeeeeeeeeeeeeeeeedaaaaaaaadeeeeeeeeedaaaac baaa geeeeeeeeeeeeeeeeeeeeeeeefeaaaaaaaadeeeeeaaaad aaa geeeeeeeeeeeeeeeeeeeeeeeeefffeaaaaaaaadaaaaaeb aaac geeeeeeeeeeeeeeeeeeeeeeeeeefffeeedaaaaaaaadeeb caad geeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeedaaaaeeeeb baaa geeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeeeeeeb aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeeeeeb aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeeeeb caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeeeb aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeeb aaab geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeeb daac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeeb caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeeb aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeeb aaab geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeeb daad geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeeb baaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeeb aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffeb aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeffff daad geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffb fff baaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffb fff aaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffb fff aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfffb fff caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb fffb fff baaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb fffb ffb aaab geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb ffffffb aaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeb fffff caaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegb ffff aaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fff aaab ff bad ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#e1e220ff b,#ebf1eaff c,#f7f7cdff d,#e3e549ff e,#f1f2a0ff f,#c3d7c8ff g,#e7ea7aff ``` ```image f ff fff ffff fffff ffffff fffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff bffffff bffffff bffffff bffffff bffffff bffffff fffffff bfffffff bfffffff bfffffff bfffffff bfffffff bfffffff cggeb bfffffff caaaaadec bfffffff daaaaaaaadgc bfffffffb gaaaaaaaaaaaaagc bfffffffb eaaaaaaaaaaaaaaaaage bfffffffb caaaaaaaaaaaaaaaaaaaaaeb bfffffffb daaaaag cgaaaaaaaaaaaaaadec bfffffffb aaaaad cgdaaaaaaaaaaaaadgc bfffffffb aaaaac cedaaaaaaaaaaaaaagc bfffffffb aaaae bedaaaaaaaaaaaaaage bfffffffb aaag eaaaaaaaaaaaaaaadefffffffb aad cgaaaaaaaaaaaaaaadgfffffb aac cgdaaaaaaaaaaaaaaagfffb ae cedaaaaaaaaaaaaaaadgb g bedaaaaaaaaaaaaaaadeb egaaaaaaaaaaaaaaadec b cgaaaaaaaaaaaaaaadgc ea cgdaaaaaaaaaaaaaadgc cdaa cgdaaaaaaaaaaaaaaage bgaaaa bfgdaaaaaaaaaaaaaaaeb eaaaaaa bfffgdaaaaaaaaaaaaaadec cdaaaaaaa bfffffgdaaaaaaaaaaaaaadgc gaaaaaaaaa bfffffffcgdaaaaaaaaaaaaadgeaaaaaaaaag bfffffffb cedaaaaaaaaaaaaaaaaaaaadc bfffffffb beaaaaaaaaaaaaaaaaae bfffffffb egaaaaaaaaaaaagb fffffffb cgdaaaaaadc fffffffb cgdaae fffffffb fffffffb fffffff ffffffb ffffffb ffffffb ffffffb ffffffb ffffffb ffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffffb fffffff ffffff fffff ffff fff ff f ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e1e220ff b,#dbe7deff c,#f4f5baff d,#e6e752ff e,#f3f6ecff f,#c2d7c7ff g,#eced85ff ``` ```image b bff ffff ffff ffff ffff ffff ffff ffff ffff ffff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff bfff efff efff efffe efffe efffe gc efffe daaaag efffe caaaaaaaade efffe eag aaa gaaaaaaade efffe daaa aaae gaaaaaaaac efffe caaaag daag caaaaaaaagfffe eaaaaa caaa cdaaaaaaadfe daaaac aaa edaaaaaaade caaaad aaac gaaaaaaadc aaaaa daad gaaaaaaaac gaaaac eaaa efgaaaaaaaag caaaad aaa efffcdaaaaaaagaaaaae aaac efffe edaaaaaaaag gaad efffe gaaad eaaa efffe aaae efffe aaag efffe gaaa efffe aaa fffe aaae fffe daag fffb caaa fffb aaa fffb aaae fffb daad fffb caaa fffb aaa fffb aaac fffb gaad fffb fff eaaa fffb fff aaa fffb fff aaac fffb fff gaad fffb ffb eaaa fffb ffb aaae fffbffe daag fffffe caaa ffff aaa fff aaae fb eag ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#aa1095ff b,#580a20ff c,#e2bedaff d,#8a5e67ff e,#b0d6b0ff f,#c465b7ff g,#a3b29bff ``` ```image a fa caf aa aa fac caf aa aa fac caf aa aa fac caf aa aa fac caf aa aa fac ggggggggggggggggggggaag eeeeeeeeeeeeeeeeeeeaaee eeeeeeeeeeeeeeeeeeaaeee eeeeeeeeeeeeeeeeefageee dbbc eeeeeeeeeeeeeeeegaaeeee dbbbbbbbg eeeeebbeeeeeeeeeaaeeeee cdbbbbc cbbbd eeeegbbdeeeeeeeaaeeeeee cbbbbdc bbbb eeeebbdbgeeeeefageeeeee gbbbbd dbbbg eeebbeebbeeeegaaeeeeeee gbbbbd cbbbd eegbdeeebbeeeaaeeeeeeee dbbbbd bbbb eebbeeeedbgeaaeeeeeeeee dbbbbg dbbbgbbeeeeeebbfageeeeeeeee bbbbg gbbbdeeeeeeebbaeeeeeeeeee bc gdeeeeeeeeabdeeeeeeeeee eeeeeeeeeaabbeeeeeeeeee eeeeeeeefagebbeeeeeeeee eeeeeeeeaaeegbdeeeeeeee eeeeeeeaaeeeebbeeeeeeee eeeeeeaaeeeeeebbeeeeeee eeeeefageeeeeegbbeeeeee eeeeeaaeeeeeeeedbgeeeee eeeeaaeeeeeeeeeebbeeeee eeeaaeeeeeeeeeeeebbeeee eefafeeeeeeeeeeeedbgeee eeaaeeeeeeeeeeeeeebbeee eaaeeeeeeeeeeeeeeeebbee aa ebd cac bb aa bb aa cbd aa dbc af bb aaaaaaaaaaaaafffffcccc aa bb ccfffffaaaaaaaaaaaaaaaaa cac gbc fa aa bb ca fa bb a aa cbg ac aa bb ac af bb af aa cbd aa cac dbc aa aa bb fa fa bd fa aa dbc ca aa bb a af bb ac aa gbg af cac bb af aa bb aa fa cbd aa aa g fa fa fa af ca aa acac aaa aa aa ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#aa0d94ff b,#56061dff c,#e6cfdfff d,#9d707dff e,#733045ff f,#ce96bfff g,#bf48aeff ``` ```image caaag gaaa gaaac faaaf caaag gaaa gaaac faaaf caaag cdf gaaa cbbbc gaaac dbbbe faaaf fbbbbbd caaag bbbebbbf gaaa dbbbcebbbc faaac fbbbf cbbbe caaaf ebbe fbbbf caaag dbbbc dbbbc gaaa cbbbd ebbe faaac ebbe cbbbd caaaf dbbbc dbbbc caaag c cbbbd ebbe gaaac bef ebbe cbbbdfaaac bbbbbbbc dbbbaaaf bbbbbbd ebbbag cdbbbe cbbbec cddc fabbbf caaebbbc aaagebbe gaaacfbbbd faaac dbbbc caaaf ebbe aaag cbbbd gaaac dbbbf faaaf ebbe caaag cbbbd aaag fbbbf gaaac ebbbc faaaf cbbbe caaag fbbbd aaag dbbbc gaaac ebbe faaaf cbbbd caaag dbbbc aaag ebbe gaaac cbbbd faaaf fbbbf caaag ebbbc aaag cbbbe gaaac fbbbf faaaf dbbbc ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#aa0d94ff b,#55061dff c,#e4c4dcff d,#976775ff e,#702d40ff f,#ca8cbaff g,#be45adff ``` ```image a ga caf aa aa gac caf aa aa gac caf aa aa gac cag aa aa gac cag aa aa gac cag aa aa fac dbbc cag dbbbbbbbf bb aa cebbbec cbbbd fbbd aa cebbbec ebbe bbebc fac fbbbbd dbbbf eb bb cag fbbbbd fbbbd cbf be aa dbbbbd ebbe bb dbc aa dbbbbf dbbbfeb bbfac bbbbf fbbbd bbg ec d abf aaeb fac bb ag cbd aa eb aa bb fac be ag dbc aa bb aa be faf fbf ag bb aa bb ga cbd faf eb ag bb aa cbd ga dbc af bb aaaaaaaaaaaaagggfffccc aa be ccfffgggaaaaaaaaaaaaaaaa cac dbc fa aa bb ca fa bb a ag fbf ac ga eb af af bb ag aa cbd aa cac ebc aa aa bb ga fa be fa ag dbc ca ga bb a af bb ac aa fbf af cac eb ag aa bb aa fa cbd aa aa f ga ga fa ag ca aa acac aaa aa aa ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#cea5bfff b,#e368d9ff c,#ecc5e6ff d,#df86d8ff e,#b1d7b1ff f,#f2f2f1ff g,#96c996ff ``` ```image fbbc dbbbbdgggggggggggggggggggggggggggggggggggggggggggf ac fdbbbbbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaa feeabbbbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaf feeeeedbbbbbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaa feeeeeeeabbbbbbaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaf feeeeeeeeeeabbbbbdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef caa feeeeeeeeeeeeebbbbbbaeeeeeeeeeeeeeeeeeeeeeeeeeeef aac faaaeeeeeeeeeeeeeabbbbbdeeeeeeeeeeeeeeeeeeeeeeeeef caa aaaaaaaaeeeeeeeeeeeedbbbbbaeeeeeeeeeeeeeeeeeeeeeef aac feaaaaaaaaeeeeeeeeeeeabbbbbbeeeeeeeeeeeeeeeeeeeef caa feeeeaaaaaaaaeeeeeeeeeeedbbbbbaeeeeeeeeeeeeeeeeef aac feeeeeeeeaaaaaaaaeeeeeeeeeebbbbbbaeeeeeeeeeeeeeef caa feeeeeeeeeeeaaaaaaaaeeeeeeeeeabbbbbdeeeeeeeeeeeef aaa feeeeeeeeeeeeeeaaaaaaaaaeeeeeeeedbbbdeeeeeeeeeeef faa feeeeeeeeeeeeeeeeeeaaaaaaaaeeeeeeedbbeeeeeeeeeeef aaa feeeeeeeeeeeeeeeeeeeeeaaaaaaaaeeeeabbeeeeeeeeeeef faa feeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaebbeeeeeeeeeeef aaa feeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaeeeeeeeeeeef faa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaeeeeeeef aaa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedaaaaaaaaeeeef aaf feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdeaaaaaaaaef aaa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbeeeeeaaaaaaac aaf feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbeeeeeeeeaaaaaaaaf aaa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeefcaaaaaaac aaf feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeef faaaaaaaaf caa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeef fcaaaaaaac aac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeef caaaaaaaaa feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaeeeeeeeeef faaaaac feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdeeeeeeeeef ca feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbeeeeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeabbeeeeeeeeef fggggggggggggggggggggggggggggggggggggbbgggggggggf bb bb bbc bbc dbd cbb cbb bb bbb fbbb fbbb bbb bbbf bbbf bbbc bbbc bbbc bbbc dbbd dbbd dbbd dbbb cbbb cbbb cbbb fbbb fbbb fbbb bbbf bbbf bbbf bbbc bbbc bbbc bbbc dbbd dbbd dbbd cbbb cbbb cbbb cbbb fbbb fbbb fbbb bbbf bbb bf ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#d0a3bfff b,#e468daff c,#f0d4eaff d,#e98be1ff e,#debed2ff f,#f8ebf5ff g,#f0b0ebff ``` ```image bbbbbbgf bbbbbbbbdg bbbbbbbbbbbgc fgdbbbbbbbbbbdgf fgbbbbbbbbbbbdc cdbbbbbbbbbbbgf fgbbbbbbbbbbbdc cdbbbbbbbbbbbgf fgdbbbbbbbbbbdgf cgbbbbbbbbbbbdc gdbbbbbbbbbbdgf fgbbbbbbbbbbbdc cdbbbbbbbbbbbgf f fgdbbbbbbbbbbdc aecf cdbbbbbbbbbbbgf aaaaaec fgdbbbbbbbbbbdgf aaaaaaaaecf fgbbbbbbbbbbbdc aaaaaaaaaaaaef cdbbbbbbbbbbbgf eaaaaaaaaaaaaaaecf fgbbbbbbbbbbbdc feaaaaaaaaaaaaaaecf cdbbbbbbbbbbbgf fceaaaaaaaaaaaaaaec fgdbbbbbbbbbbdg ceaaaaaaaaaaaaaaecf cdbbbbbbbbbbbgc fceaaaaaaaaaaaaaaef fgdbbbbbbbbbbdgf fceaaaaaaaaaaaaaaecf fgbbbbbbbbbbbdc feaaaaaaaaaaaaaaecf cdbbbbbbbbbbbgf fceaaaaaaaaaaaaaaec fgbbbbbbbbbbbdc ceaaaaaaaaaaaaaaecf cdbbbbbbbbbbc fceaaaaaaaaaaaaaaef fgdbbbbbbbd fceaaaaaaaaaaaaaaecf cgbbbbbb feaaaaaaaaaaaaaaecf dbbbb fceaaaaaaaaaaaaaaec gbbbbf ceaaaaaaaaaaaaaaecf cbbbbc fceaaaaaaaaaaaaaaef fbbbbg fceaaaaaaaaaaaaaaecfbbbbg ceaaaaaaaaaaaaaaadbbd fceaaaaaaaaaaaaaaac ceaaaaaaaaaaaaaaecf feeaaaaaaaaaaaaaeef fceaaaaaaaaaaaaaaec cbaaaaaaaaaaaaaaaecf fbbbbeeaaaaaaaaaaaaaaec bbbbg ceaaaaaaaaaaaaaae dbbbd feeaaaaaaaaaaa dbbbb fceaaaaaaaa gbbbb ceaaaaa gbbbbf fcea cbbbbc fbbbbg fbbbbg bbbbd dbbbd dbbbb gbbbbf gbbbbf cbbbbc fbbbbg bbbbg bbbbd dbbbd gbbbb gbbbbf cbbbbc cbbbbc ``` <!-- end of image --> 1 intersection present within area A. Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d0a3bfff b,#e468daff c,#f1d5ecff d,#e989e1ff e,#dec0d3ff f,#f8ebf5ff g,#efadeaff ``` ```image fbbc dbbbbd ac dbbbbbg aaa cbbbbbbf aaf dbbbbbg eaa cbbbbbbc aac gbbbbbd eaa f fdbbbbbc aac faaac gbbbbbdf eaa eaaaaaae dbbbbbg aae faaaaaaaef cbbbbbbf caa eaaaaaaac gbbbbbg aae caaaaaaaef fbbbbbbc caa feaaaaaaac gbbbbbd aae eaaaaaaae fdbbbd faa faaaaaaaef dbb aaa eaaaaaaac cbb faa caaaaaaaefbb aaa feaaaaaaac faa eaaaaaaae aaa baaaaaaaef aaf bbg eaaaaaaac aaa dbb caaaaaaae aaf gbb feaaaaaaaf eaa fbb eaaaaaaae aac bb caaaaaaaef eaa bb feaaaaaaac aac bbf caaaaaaaaa bbg feaaaae bbd ee gbb cbb fbb bb bb bbc bbg dbd gbb cbb bb bbb fbbb fbbb bbb bbbf bbbf bbbc bbbc bbbg bbbg dbbd dbbd dbbd gbbb gbbb gbbb cbbb cbbb fbbb fbbb bbbf bbbf bbbf bbbc bbbc bbbg bbbg dbbd dbbd dbbd gbbb gbbb cbbb cbbb fbbb fbbb fbbb bbbf bbb bf ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#e568f8ff b,#3b8cbaff c,#db1bf7ff d,#bcd4e5ff e,#f4bbfcff f,#aed5aeff g,#7ab1c9ff ``` ```image d gbbbbbbggd dggbbbbbbgdd ddgbbbbbbbgd ddgbbbbbbggd dggbbbbbbgdd ddgbbbbbbbgd ddgbbbbbbggd dggbbbbbbgdd ddgbbbbb b b b b b bd gd dg db b c b ce b cca b c c b ec c bd ce c gd c aa dg ec ec db ce c b c c b aa ce b c ea b c c b aa c bd c c gd c aa dg aa c db c c b ec c b ce ae ffffffffffbffffff c ec ffffffffffbffffff ec c ffffffffffbffffff ce c ffffffffffbffffff c ce ffffffffffbgfffff ec aa ffffffffffggfffff c c ffffffffffgbfffff c c fffffffffffbfffff aa c fffffffffffbfffff c ae fffffffffffbfffff c ec fffffffffffbfffff aa c fffffffffffbfffff c c c ffffffffffdccffff ec c ce ffffffffaccbgffff ce ae ea ffffffccaffggffff c c c ffffccaffffgbffff ac ec c fdccffffffffbffff ce ce c accffffffffffbffff c c aa acaffffffffffffbffff aa ec ec cca ffffffffffffbffff c ce c ecce ffffffffffffgffff ec c c acc fffffffffffffffff ce ea ce aca fffffffffffffffff c c ea cca fffffffffffffffff ac c c ecce fffffffffffffffff ce aa ccc c c e aa c c aa ec c ce c c ae ac c ce ec c ce ca c c ec ec ce cec eca c ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#db51f6ff b,#398abaff c,#db19f7ff d,#a4c9dfff e,#f09ffbff f,#d9dff1ff g,#72abcdff ``` ```image gbd dbg dbg fbg fbb bb bbf gbf gbd gbd dbg dbg fbg fbb bb bbf bbf gbd gbd dbg dbg fbg fbb baca eaccca eccccaf eccccegbd facccae gbd eacccae dbd eccccaf dbg ecccce fbg facccae fbb eacccae bb eccccaf bbf cccce bbf cae gbd e gbd dbd dbg fbg fdf ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e351f9ff b,#398abaff c,#db18f8ff d,#afcfe2ff e,#ee97fbff f,#efd9faff g,#72abcdff ``` ```image df gbbbbbbgdd fdggbbbbbbgdf fdgbbbbbbggdf ddgbbbbbbgdd fdggbbbbbbgdf fdgbbbbbbggdf ddgbbbbbbgdd fdggbbbbbbgdf fdgbbbbg b b b b b bf gd dg fb b c b fcf b aaa b c c b fc c bf cf c gd c ae dg ec fc fb cf c b c c b ea af b c ea b c c b aa c bf c cf gd c ee dg ae fc dg c c b fc c b ae ae b c ea b fc c b cf c bf c cf gd ea ea dg cf c dg c c b ea c b c ae b c fc b ae c bf c c c ecc fc c cf eccgd ce ae ea aca dg c c c fcce dg ec fc c eccf b cf ce c eccf b fc c ae aca b aa ec fc fcce b c cf c eccf d fc c c ecc ce ea ae aca c cf ea fcce ec c c eccf cf ea ccc fc c f aa c c ae ec c ce fc c ae ea c cf fc fc cf aa c c ec ec cf cfc fca c ``` <!-- 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,#07372fff b,#2badb9ff c,#aed5b0ff d,#7c9a8eff e,#e6f1eeff f,#40685fff g,#71c6c9ff ``` ```image aa eaad daaa aaaa aaaa aaaad aaaaa caaaaa faadaa aaaeaac aaf aaf aad aaa caae faa daa eaac aaa aaf aaa aaa aaf faa eaac caae daa aad faa aaa aaa faa aaf caa aad aad caae aaa daa aaa a aaa daa faa aaa eaac faaa aad aaf daaa eaac aaa caaa daa daa eaaae faa eaac eaaac aaa aaf aaad aaf aaa aaad aad faa aaaf caae caae aaaa faa aad faaa aaa aaa daaa aaa faa cccccccccccccdaaa aad caae ccccccccccccdaaae eaac aad ccccccccccccaaade eeeeeeedaaeeeeeeee aaa cccccccccccaaadce cccccccaaacccccccce aaa ccccccccccaaafcce cccccccaaacccccccce daa cccccccccaaafccce cccccccaafcccccccce aad ccccccccaaaacccce cccccccaadcccccccce aaa ccccccdaaaaccccce ccccccdaaccccccccce aaa ccdfaaaaaacccccce ccccccfaaccccccccce daa efaaaaaaaaaccccccce cccggcaaaccccccccce eaac edaaaaaaaaafcccccccccce ccbbbcaaaccccccccce aaf daaaaaaaaafdccccccccccccce ccgbbgaafccccccccce aaa caaaaaaaaafc ccccccccccccccgbbg cccbbbaadccccccccce faa cfaaaaaaaaac cccccccccccccbbbbb ccccbbbacccccccccce eaae efaaaaaaaaad cccccccccccbbbbbbbg ccccbbbacccccccccce aaf edaaaaaaaaade cccccccccgbbbbbcbbb cccccbbbcccccccccce aaaaaaaaaaaafe ccccccccbbbbbcccebbg ccccdbbbgccccccccce faaaaaaafc eeeeebbbbbeeeee bbb ccccaabbbccccccccce caaaac gbbbbg ebbb ccccaafbbgcccccccce e cbbbbb bbb ccccaadbbbcccccccce ebbbbbe bbb cccfaaccbbbccccccce bbbbbe bbbe cccaaaccbbbccccccce gbbbbg bbb cccaafcccbbbcccccce ebbbbb gbbe ccfaaccccbbbgccccce ebbbbbe bbb ccaaacccccbbbccccce gbbbbc gbbc cccdfcccccgbbgcccce gbbbbg bbb cccccccccccbbbcccce ebbbbb cbbg ccccccccccccbbbccce bbbbbe bbb eeeeeeeeeeeebbbeee gbbbbg ebbg bbb cbbbbb bbb gbbe ebbbbbe ebg bbb bbbbbe gbbg gbbbbg bbb ebbbbb ebbg ebbbbbe bbb gbbbbc ebbb gbbbbg bbbe gbbbbb bbb gbbbbbe gbbcgbbbbbe bbbbbbbe ebbbbe gbe ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#06372fff b,#2badb9ff c,#a3b5b2ff d,#66847fff e,#cde4e6ff f,#2b6461ff g,#7bcbd3ff ``` ```image daaaad faaaad aaaaac eaaaaae caaaaa daaaaf faaaad aaaaac eaaaaae caaaaa daaaaf daaaad e faaaac egbe aaaaac gbbbb eaaaaae gbbbbbg caaaaa bbbbbbedaaaaf ebbbbbgfaaaad gbbbbbfaaaac ebbbbbbaaaae gbbbbbfaaa bbbbbbaaf gbbbbbfad bbbbbbac ebbbbbf bbbbbbe fbbbbbg cafbbbbbe daabbbbbb aaafbbbbbg eaaaabbbbbb daaaafbbbbbg faaaadbbbbbbe eaaaaacebbbbbg caaaaae gbbbbbe faaaaf ebbbbbb aaaaac gbbbbbg caaaaae bbbbbb daaaaf gbbbbbg aaaaad bbbbbbe eaaaaac ebbbbbg daaaaa gbbbbbe faaaad ebbbbbb eaaaaac gbbbbbg edaaaae bbbbbb cdd gbbbbbg bbbbbbe ebbbbbg gbbbbbe ebbbbbb ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Alright, let's examine the next area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#06372fff b,#2eaebaff c,#a7c9c9ff d,#879f9bff e,#d6e4e4ff f,#53756fff g,#234f47ff ``` ```image daaa caaaa caaaaa eaaaaaa egaaaaag egaaaaaae faaaaaac faaaaaac faaaaaad daaaaaad daaaaaaf caaaaaaf eaaaaaag egaaaaage egaaaaage ecfgaaaaaac cdgaaaaaaaaac cdfaaaaaaaaaaaad edfaaaaaaaaaaaaaaad aaaaaaaaaaaaaaaaad aaaaaaaaaaaaagdc aaaaaaaaagfce aaaaagfde aafde c c ebb ebbbb cbbbbb cbbbbbbb ebbbbbbbbb ecbbbbbbbbbc cbbbbbbbbbbe cbbbbbbbbbbe ``` <!-- end of image --> Area B is clear of intersections, but the search continues. Answer: A: 1; B: 0; 1 + 0 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#073830ff b,#2badb9ff c,#a6c6c6ff d,#77918dff e,#d2e6e7ff f,#406761ff g,#63c2cbff ``` ```image aa eaad daaa aaaa aaaa aaaad aaaaa caaaaa faadaa aaaeaac aaf aaf aad aaa eaae faa daa eaae aaa aaf aaa aaa aaf faa aac caae caa aad faa aaa aaa faa aaf caa aad aad caae aaa daa aaa a aaa daa faa aaa aac faaa aad aaf daaa eaac aaa caaa daa daa eaaae faa eaac aaac aaa aaf aaac aaf aaa aaad aad faa aaaf caa caae aaaa daa aad faaa aaa aaa daaa aaa faa caaa aad caa eaaa eaac aad eaaae daa aaa aaac faa aaa aaad aaa daa aaaf aaf aac aaaa aac aaa caaaa caa aaa cfaaaaaa faa daa efaaaaaaaaa gc aaa eaac daaaaaaaaade bbb aaa aaf daaaaaaaaafe ebbgaad aaa caaaaaaaaafc ebbc bbbaae faa cfaaaaaaaaac bbbbb ebbba eaae efaaaaaaaaad gbbbbbbg bbba aaf edaaaaaaaaade cbbbbg bbb bbb aaaaaaaaaaaafe ebbbbb ebbg cbbbe faaaaaaafc bbbbbe bbb aabbb eaaaac gbbbbc bbb aafbbg cbbbbg bbb eaacbbb ebbbbb bbb faa ebbb bbbbbe gbbe aaa bbb gbbbbg bbb aad bbb ebbbbb gbbe daa gbbe bbbbbe bbb aaa bbb gbbbbc gbbe cf cbbc cbbbbg bbb bbb ebbbbb cbbc ebbg bbbbbe bbb bbb gbbbbc ebbg bbb cbbbbg bbb gbbe ebbbbb ebc bbb bbbbbe cbbc gbbbbg bbb ebbbbb ebbg bbbbbe bbb gbbbbc bbb gbbbbg gbbe gbbbbb bbb gbbbbbe gbbcgbbbbbe bbbbbbbe ebbbbe gb ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a6d61ff b,#675d87ff c,#d5cbceff d,#a79693ff e,#b2d7b1ff f,#f0f3efff g,#a2cda1ff ``` ```image cf daac aaaaf aaaaaaf caaaaaaa aaadfaaaa daaa caaaa aaac caaad aaaa daaad caaaf daaac aaad aaaaf daaa aaaaf aaac aaaa aaaa faaaa caaaf faaaa aaad caaaa daaa daaad aaac daaac aaaa aaaac caaaf aaaaf aaad aaaa daaa aaaa aaac faaaa aaaa caaaa caaaf daaad aaad daaac daaa aaaac faaac aaaaf aaaa aaaa caaaf aaaa aaad faaaa daaa caaaa faaac eaaad aaaa daaae ffffffffffffffffffffffcaaa aaaac ggggggggggggggggggggggaaad aaaaf geeeeeeeeeeeeeeeeeeeeaaaa aaaa geeeeeeeeeeeeeeeeeeeeaaac aaaa geeeeeeeeeeeeeeeeeeeaaaaf faaad geeeeeeeeeeeeeeeeeedaaagf cad geeeeeeeeeeeeeeeeeeaaadgf f geeeeeeeeeeeeeeeeeaaaaegf geeeeeeeeeeeeeeeeeaaagegf geeeeeeeeeeeeeeeeaaaaeegf geeeeeeeeeeeeeeedaaaeeegf geeeeeeeeeeeeeeeaaadeeegf geeeeeeeeeeeeeeaaaaeeeegf geeeeeeeeeeeeeeaaageeeegf geeeeeeeeeeeeeaaaaeeeeegf geeeeeeeeeeeedaaaeeeeeegf geeeeeeeeeeeeaaadeeeeeegf geeeeeeeeeeeaaaaeeeeeeegf bbdecgeeeeeeeeeeeaaageeeeeeegf bbbbbbbbbbbbbbbdaaaaeeeeeeeegf bbbbbbbbbbbbbbbbbbbbbbbbbbbddcf ccddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddccf geeeeeegdbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdecf geeeeeeegaaageeeeeegddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbddccf geeeeeeeaaaaeeeeeeeeeeegf fceddbbbbbbbbbbbbbbbbbbbbbbbbbbbbb geeeeeedaaaeeeeeeeeeeeegf fccddbbbbbbbbbbbbbbbbbb geeeeeeaaadeeeeeeeeeeeegf fccddbbbbbbb geeeeeaaaaeeeeeeeeeeeeegf cbbbb geeeegaaageeeeeeeeeeeeegf cbbbb geeeeaaaaeeeeeeeeeeeeeegf cbbbb geeedaaaeeeeeeeeeeeeeeegf cbbbbf geeeaaadeeeeeeeeeeeeeeegf fbbbbf geeaaaaeeeeeeeeeeeeeeeegf fbbbbf gegaaageeeeeeeeeeeeeeeegf fbbbbf geaaaaeeeeeeeeeeeeeeeeegf fbbbbf gdaaaeeeeeeeeeeeeeeeeeegf fbbbbc gaaadeeeeeeeeeeeeeeeeeegf bbbbc aaaaeeeeeeeeeeeeeeeeeeegf bbbf faaageeeeeeeeeeeeeeeeeeegf bf aaaaeeeeeeeeeeeeeeeeeeeegf eaaaeeeeeeeeeeeeeeeeeeeeegf aaadggggggggggggggggggggggf aaaafffffffffffffffffffffff faaaf aaaa eaaa aaad daa f ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#9a6d61ff b,#665c87ff c,#c9bcc1ff d,#ab857cff e,#bea199ff f,#e6dfe0ff g,#968facff ``` ```image ca da eaa faaa daaa caaaa aaaaa eaaaaa faaaaaa daaaaaa caaaaaad aaaaaaaf eaaaaaae faaaaaaaf daaaaaac caaaaaad aaaaaaaf eaaaaaae faaaaaaaf daaaaaac caaaaaad aaaaaaaf eaaaaaae faaaaaaaf daaaaaac caaaaaad aaaaaaaf eaaaaaae faaaaaaaf daaaaaac caaaaaad aaaaaaaf eaaaaaae faaaaaaaf daaaaaac caaaaaad f aaaaaaaf bbbbbgggcccfff eaaaaaae bbbbbbbbbbbbbbbbbgggggaaaaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbbbbggggcccff bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggggc bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffcccggggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb ffcccbbbbbbbbbbbbbbbbbbbbbbbbbbbb caaaaaadfffccggggbbbbbbbbbbbb faaaaaaaf fffcccggg eaaaaaae faaaaaaa daaaaaac caaaaaad faaaaaaaf eaaaaaae faaaaaaa daaaaaac caaaaaad faaaaaaaf eaaaaaae faaaaaaa daaaaaac caaaaaad faaaaaaaf eaaaaaae faaaaaaa daaaaaac caaaaaad faaaaaaaf eaaaaaae faaaaaaa daaaaaac caaaaaad faaaaaaaf eaaaaaae faaaaaaa daaaaaac aaaaaad aaaaaaf aaaaae aaaaa aaaac aaad aaaf ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9a6d61ff b,#665c87ff c,#d6cbceff d,#b29087ff e,#bdaeb3ff f,#ebe6e8ff g,#8e87a6ff ``` ```image ff daac aaaaf aaaaaa caaaaaaa aaadfaaaa daaa faaaa aaac caaad aaaa daaad caaaf daaac aaad aaaaf daaa aaaa aaac aaaa aaaa aaaa caaa faaaa aaad caaad daaa eaaad aaac daaae aaaa aaaaf caaa aaaaf aaad aaaa daaa aaaa aaac faaaa aaaa caaaa caaa eaaad aaad daaae daaa aaaac aaac aaaaf aaaa aaaa caaa aaaa aaad faaaa daaa caaaa aaac eaaad aaaa daaae caaa aaaac aaad aaaaf daaa aaaa aaac aaaa aaaa faaad caaa cae aaad f daaa aaac aaaa caaa aaad daaa faaac aaaa caaa aaad daaa bggecf faaac bbbbbbbbbbbbbbgeaaaa bbbbbbbbbbbbbbbbbbbbbbbbbbgeecf ceggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggecf fccbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggecf faaaf fceggbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgecf aaaa fceggbbbbbbbbbbbbbbbbbbbbbbbbbbbbb eaaa fceegbbbbbbbbbbbbbbbbbb aaae fcegbbbbbbb daaa cbbbb faaaf cbbbb aaaa cbbbb eaaa fbbbb aaae fbbbbf daaa fbbbbf faaaf fbbbbf aaaa fbbbbf eaaa bbbbf aaae bbbbc aaaa bbbf faaaf bf aaaa eaaa aaae aaaa faaaf aaaa eaaa aaae daa f ``` <!-- end of image -->
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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,#208d16ff b,#b477f7ff c,#8bc488ff d,#d3b2f9ff e,#53a74cff f,#b1d7b1ff g,#eceff0ff ``` ```image fc aaa aaa eaaf caac faae gaaa aaa aaa aaa aaa aaag eaaf caac gggfaaeggggggggggggg ffffaaafffffffffffffg ffffaaafffffffffffffg dbd ffffaaafffffffffffffg gdbbbbbb ffffaaafffffffffffffg gbbbbbbbbbbbg ffffaaafffffffffffffg dbbbbbbbbbbbbbbbg ffffeaacffffffffffffg gdbbbbbbbbbbbbdg dbbg ffffeaaeffffffffffffg dbbbbbbbbbbbbbd dbbg ffffcaaeffffffffffffg gdbbbbbbbbbbbbdg dbbd fffffaaaffffffffffffg dbbbbbbbbbbbbbd dbbd fffffaaaffffffffffffg gdbbbbbbbbbbbbdg dbbd fffffaaaffffffffffffg gbbbbbbbbbbbbbd dbbd fffffaaaffffffffffffg dbbbbbbbbbbbbdg dbbd fffffaaaffffffffffffg gdbbbbbbbbbbbbdg dbbd fffffaaacfffffffffffg dbbbbbbbbbbbbbd dbbd fffffeaacfffffffffffg gdbbbbbbbbbbbbdg gbbd fffffcaaeffffffffffbbbbbbbbbbbbbd gbbd fffffcaaafffffbbbbbbbbbbbbbdg gbbb ffffffaaafbbbbbbbbbbbbbd gbbb fffffdaaabbbbbbbbbbfg gbbb ffbbbbaaabbbbbdfffffg bbb ffbbbbaaabffffffffffg bbb ffbbbbaaafffffffffffg bbb ffffffeaaaffffffffffg bbb ffffffcaaaacffffffffg bbb fffffffeaaaaafffffffg bbb fffffffffaaaaacfffffg bbb ffffffffffeaaaaaffffg bbb ffffffffffffaaaaaeffg bbb fffffffffffffcaaaaafg bbb fffffffffffffffaaaaac bbb ffffffffffffffffcaaaaag bbb ffffffffffffffffffaaaaae bbb fffffffffffffffffffcaaaaag bbb ffffffffffffffffffffgeaaaae bbb ffffffffffffffffffffg gaaaaag bbb ffffffffffffffffffffg eaaaae bbb ffffffffffffffffffffg gaaaaaf bbb ffffffffffffffffffffg eaaaaa bbb ffffffffffffffffffffg gaaaaaf bbb cccccccccccccccccccc caaaaa gaaaaaf caaaaa aaaaac caaaaa aaaaac faaaaag aaaaae faaaaag eaaaae faaaaag eaaaae gaaaaaf eaaaae gaaaaaf eaaaaa gaaaaaf caaaaa aaaaac caaaaa aaaaac caaaaaaef aaaaaaaaacg geaaaaaaaaaaf caaaaaaaaaaeg gcaaaaaaaaaaf feaaaaaa caaa g ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#208d16ff b,#b477f7ff c,#a5d1a1ff d,#d8b9faff e,#4aa044ff f,#d6e9d5ff g,#75ad77ff ``` ```image aaaaaa aaaaaa eaaaaaf eaaaaac gaaaaac caaaaag caaaaag faaaaae faaaaaa aaaaaa eaaaaaf eaaaaaf gaaaaac gaaaaag caaaaag caaaaae faaaaae aaaaaa aaaaaaf eaaaaaf eaaaaac gaaaaac caaaaag caaaaag faaaaae faaaaaa aaaaaa eaaaaaf eaaaaaf gaaaaac gaaaaag caaaaag dd caaaaae dddbbbb faaaaae ddbbbbbbbbb aaaaaa ddbbbbbbbbbbbbb aaaaaafddbbbbbbbbbbbbbbbbbb eaaaaabbbbbbbbbbbbbbbbbbbbb ddeaaaaagbbbbbbbbbbbbbbbbbbbd ddbbbbgaaaaagbbbbbbbbbbbbbbdd dbbbbbbbgaaaaagbbbbbbbbbbdd dbbbbbbbgaaaaaebbbbbdd bbbbbbbbaaaaaebdd bbbbbbbbaaaaaa dbbbbbddaaaaaa dbdd eaaaaaf eaaaaaac gaaaaaaagf caaaaaaaaac eaaaaaaaaaef gaaaaaaaaaac feaaaaaaaaaef gaaaaaaaaaac feaaaaaaaaaef caaaaaaaaaac feaaaaaaaaaef caaaaaaaaaag feaaaaaaaaaef caaaaaaaaaag feaaaaaaaaa caaaaaaaa fgaaaaaa caaaaa gaaa cea g ``` <!-- end of image --> Area A contains 1 intersection. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#208d16ff b,#b476f8ff c,#93c78eff d,#cca3f9ff e,#55a84eff f,#cce4c9ff g,#e5cffcff ``` ```image fc aaa aaa eaaf caac faae aaa aaa aaa aaa aaa aaaf eaac caac faae aaa aaa gdd aaa dbbbbbb aaa gdbbbbbbbbbbg aaa dbbbbbbbbbbbbbbbg eaaf gdbbbbbbbbbbbbd dbbg caac gbbbbbbbbbbbbdg dbbg faae gdbbbbbbbbbbbbdg dbbg aaa gbbbbbbbbbbbbbg dbbg aaa dbbbbbbbbbbbbdg dbbg aaa gdbbbbbbbbbbbbg gbbd aaa dbbbbbbbbbbbbdg gbbd aaa gdbbbbbbbbbbbbd gbbd aaaf gbbbbbbbbbbbbdg gbbd eaac gdbbbbbbbbbbbbdg gbbd caae gbbbbbbbbbbbbbg gbbd faae dbbbbbbbbbbbbdg gbbd aaagdbbbbbbbbbbbbg gbbd daaabbbbbbbbbdg bbb bbbbaaabbbbbd bbb bbbbaaadg bbb dbbdaaa bbb eaaa bbb caaaac bbb caaaaa bbb aaaaac bbb caaaaa bbb aaaaac bbb caaaaa bbb aaaaac bbb faaaaa bbb aaaaae bbb faaaaaf bbb eaaaae bbb faaaaaf bbb eaaaae bbb faaaaaf bbb eaaaaa bbb aaaaaf bbb eaaaaa aaaaac caaaaa aaaaac caaaaa aaaaac caaaaa aaaaae faaaaa eaaaae faaaaaf eaaaae faaaaaf eaaaae faaaaaf eaaaaa aaaaac caaaaa aaaaac caaaaa aaaaac caaaaaaef aaaaaaaaac feaaaaaaaaaac caaaaaaaaaaef eaaaaaaaaaaf feaaaaaa caaa ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I'm going to focus my attention on these specific areas. <!-- image --> ```palette Key,Color ,#fefefeff a,#8eb7bbff b,#d2facfff c,#b2d8b2ff d,#eff8efff e,#6c98c1ff f,#95ca96ff g,#a6d1a7ff ``` ```image dbb dbd dbd bbd bbd bb bb bb dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddbbdddd gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggbbgggg gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbeccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcaccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcaccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbacccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbacccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbecccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbecccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbecccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbecccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbacccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbacccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbgcccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbaccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbaccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbaccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbaccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccgbbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbccccccc gccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccbcccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbcccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccabbcccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcceeeeaccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcaeeeeeeeeeaaccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcccccaaeeeeeeeeeeaaccccccccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcccccccccccaaeeeeeeeeeeaaccccccccccccccccccccccccccccccccccccccccccccccccccebbcccccccc gcccccccccccccccccaaeeeeeeeeeeaacccccccccccccccccccccccccccccccccccccccccccgebbcccccccc gcccccccccccccccccccccccaeeeeeeeeeeeagcccccccccccccccccccccccccccccccccccccaabbcccccccc gccbbbbbbcccccccccccccccccccccaeeeeeeeeeeeagcccccccccccccccccccccccccccccccaabbcccccccc gccbbbbbbbbbbbcccccccccccccccccccccgaeeeeeeeeeeeagcccccccccccccccccccccccccecbccccccccc gcccccccbbbbbbbbbbbccccccccccccccccccccccgaeeeeeeeeeeeagcccccccccccccccccccebbccccccccc gcccccccccccccbbbbbbbbbbcccccccccccccccccccccccgaeeeeeeeeeeeagcccccccccccccebbccccccccc gccccccccccccccccccbbbbbbbbbbbcccccccccccccccccccccccgaeeeeeeeeeeeaccccccccebbccccccccc gcccccccccccccccccccccccbbbbbbbbbbbccccccccccccccccccccccccgaeeeeeeeeeeaaccebbccccccccc gccccccccccccccccccccccccccccbbbbbbbbbbbcccccccccccccccccccccccccaaeeeeeeeeebbccccccccc gccccccccccccccccccccccccccccccccccbbbbbbbbbbccccccccccccccccccccccccccaaeeebbccccccccc gcccccccccccccccccccccccccccccccccccccccbbbbbbbbbbccccccccccccccccccccccccccbbccccccccc gccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbccccccccccccccccccccbbccccccccc gcccccccccccccccccccccccccccccccccccccccccccccccccbbbbbbbbbbbcccccccccccccccbbccccccccc ffffffffffffffffffffffffffffffffffffffffffffffffffffffgcbbbbbbbbbbgffffffffgbbfffffffff dbbbbbbbbbbd dbd dbbbbbbbbbbbd dbbbbbbd dd ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#88adccff b,#d4fbd1ff c,#bad4dcff d,#e9fce8ff e,#6b97c2ff f,#a2c2d4ff g,#dbe5efff ``` ```image dbb dbb bbb bbb bbbc bbbf bbcf bbfg bbfg bba bba bbe bbe bce dbce dbfa dbff dbac bbag bbed bba bbf dbbc dbbg dbb bbb bbb bbb bbb bbc bbc bbc bbc bbc bbg dbb gbb cbb cbb cbb cbb gcbb cbbb fbbb fbbb abbb fbbd fbbd cbbd bbb bbb gbbb cbbb cbbd abbd abbd ebbd ebb ebb ebb abb abb eeeeac gfbb geeeeeeeeeeeafg ccbb gcaeeeeeeeeeeeaac fcbb gcaeeeeeeeeeeeefcg abbb gcaeeeeeeeeeeeafg ebbb gfaeeeeeeeeeeeefcd gebbb dd gcaeeeeeeeeeeeeacg cebbd bbbdd gfeeeeeeeeeeeeefc febbd dbbbbbbbbbdd gcaeeeeeeeeeeeaacg aebbd dbbbbbbbbbbbbd gcfeeeeeeeeeeeefcg eebbd ddbbbbbbbbbbbd gcaeeeeeeeeeeeafgg eebb ddbbbbbbbbbbbdd gfaeeeeeeeeeeeefcd eebb dbbbbbbbbbbbdd gcaeeeeeeeeeeeeacg eebb ddbbbbbbbbbbbd gfaeeeeeeeeeeeefc eabb ddbbbbbbbbbbbdd dcaeeeeeeeeeeeeaeabd ddbbbbbbbbbbbdd gfaeeeeeeeeeefbd dbbbbbbbbbbbbd gcaeeefbd ddbbbbbbbbbbbdd dbd ddbbbbbbbbbbbdd bb dbbbbbbbbbbbbd bb dbbbbbbbbbbbbdd bb ``` <!-- end of image --> There's no doubt about it - I see 1 intersection in area A. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#80a7c9ff b,#d4fbd1ff c,#b3d0d8ff d,#ebfbebff e,#6b97c2ff f,#98b9d1ff g,#d1deebff ``` ```image bb dbd dbd dbd bb bb bb bb bb bb bb bb bba dbcc dbcg dbfd bba bba bbe bbe bbe bbf bbc bbg bb bb dbc dbc dbf bbf bbc bbg bbd bb bb bb bb dbb gbb cbb cbb cbd bb bb bb bb gbb cbb fbb abb ebb abb fbd cbd dcbd gbb cbb abb ebb eeefcd ebb geeeeeeeeefg ebb gfeeeeeeeeeefg ebb gfeeeeeeeeeefg ebb gfeeeeeeeeeefg gabb d gfeeeeeeeeeefg cfbb bbbbbd dcaeeeeeeeeeacg ffbd dbbbbbbbbbdd dcaeeeeeeeeeacd acbd dbbbbbbbbbbd dcaeeeeeeeeeacd ecbd dbbbbbbbbbbd gcaeeeeeeeeeacd ebb dbbbbbbbbbbd gcaeeeeeeeeefcd ebb ddbbbbbbbbbd gfeeeeeeeeeefg ebb dbbbbbbbbbdd gfeeeeeeeeebb dbbbbbbbbbbd gfeeebb dbbbbbbbbbbd bb dbbbbbbbbbbd bb ddbbbbbbbbbdd bb dbbbbbbbbbbd bb dbbbbbbbbbbd dbd dbbbbbbbbbbbd ddbbbbbd dd ``` <!-- 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. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#3de18aff b,#08d3a9ff c,#8fecc5ff d,#c8f5e4ff e,#5de2a7ff f,#b0d7b0ff g,#91cf9bff ``` ```image ceaaa deaaaaaaaad deaaaaaaaaaaaaad deaaaaaaaaaaacd aad dcaaaaaaaaaaaed aad dcaaaaaaaaaaaed aad caaaaaaaaaaaec aac ceaaaaaaaaaaac aac deaaaaaaaaaaacd aac caaaaaaaaacd aac eaaaaaed aac aaaa aac aaaa aac aaaa aae aaae aae daaae aae daaac aae caaad aae ed caaad aae aaa eaaa aaa daaa eaaa aaa caaa aaaa aaa eaae aaaa aaa aaad aaae aaa aaa aaae aaa caae daaac aaa aaad daaad aaa aaa caaad aaa daaa eaaa aaa eaac eaaa eaa aaaaaaa eaa aaaaa eaa caaa eaa cc gfffffffffeaaffff gfffffffffeaaffff gfffffffffeaaffff gfffffffffeaaffff gfffebbfffeaaffff gffbbbbbffeaaffff gbbbbbbbbfgaaffff dbbbbefbbbegaaffff bbbbbffffbbbeaaffff ebbbbgffffffbbbaaffff dbbbbegfffffffebbbaffff bbbbb gffffffffbbbbffff cbbbbc gfffffffffbbbgfff bbbbb gfffffffffgbbbfff ebbbbd gffffffffffabefff dbbbbe gffffffffffaaffff bbbbb gffffffffffaaffff cbbbbc gffffffffffaaffff bd bbbbb gffffffffffaagfff bbb ebbbbd gffffffffffaagfff dbbb dbbbbc gffffffffffaagfff cbbb bbbbb gffffffffffaagfff bbbc ebbbbd gffffffffffaagfff bbbd dbbbbe gffffffffffaagfff bbb bbbbb gffffffffffaagfff dbbb cbbbbc aac ebbe bbbbb aac bbbc ebbbbd aac bbb dbbbbe aac dbbb bbbbb aac cbbb cbbbbc aac bbbe dbbbbb aae bbbd bbbbbd aae bbb cbbbbc aae dbbb bbbbb aae ebbb ebbbbd aae bbbc dbbbbe aaa bbb bbbbb aaa dbbbbbbbc aaa cbbbbb aaa bbbd aaa aaa aaa aaa aaa aaa eaa eaa ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#3de08aff b,#07d3a8ff c,#92edc4ff d,#e1f9f0ff e,#69e6b1ff f,#b7f2dcff g,#2fdab5ff ``` ```image eaaaac eaaaac eaaaac eaaaac eaaaac caaaac caaaac caaaac deged caaaac cbbbbgd caaaae fgbbbbbbg caaaae debbbbbbbbbc caaaae cbbbbbbbbbbbbf caaaae dgbbbbbbbbbbbbbbd caaaae ebbbbbbbbgfgbbbbbg caaaae bbbbbbbbed dgbbbbbe faaaae bbbbbbgf fbbbbbbffaaaae bbbbbc cbbbbbbcaaaae bbbed ebbbbbgaaaae bgf gbbbbbbaaae c dbbbbbbaaaa fbbbbbbaaa ebbbbbbaa gbbbbbba dbbbbbbg fbbbbbbf ebbbbbbd dbbbbbbg dabbbbbgd daabbbe daaaba daaaaad daaaaad daaaaad aaaaad aaaaad aaaaad aaaaad aaaaad aaaaad aaaaaf aaaaaf aaaaaf aaaaaf eaaaaf eaaaaf eaaaaf eaaaaf eaaaaf eaaaac ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3de18aff b,#07d3a9ff c,#84eac1ff d,#dbf8edff e,#60e69fff f,#b1f1d7ff g,#3adbbaff ``` ```image feaaa feaaaaaaaad feaaaaaaaaaaaaad fcaaaaaaaaaaacd aaf dcaaaaaaaaaaaef aaf dcaaaaaaaaaaaef aaf dcaaaaaaaaaaaef aaf feaaaaaaaaaaacd aaf feaaaaaaaaaaacd aac caaaaaaaaacd aac eaaaaacf aac aaaa aac aaaa aac aaaa aac aaae aae daaae aae daaac aae faaaf aae ed caaad aae aaa eaaad aaa faaa eaaa aaa caaa aaaa aaa eaae aaaa aaa aaad aaae aaa aaa daaae aaa faae daaac aaa aaaf faaaf aaa aaa caaad aaa daaa eaaad eaa eaac eaaa eaa aaaaaaa eaa aaaaa eaa caae eaa cc eaa caa caa caa cbbd caa dbbbbb caa gbbbbbbb faa fbbbbc bbbcfaa bbbbb bbbcaa cbbbbf bbbaa dbbbbg fbbba gbbbbd gbbb cbbbbc bbbf bbbbb dbbb gbbbbd dabc fbbbbg daa bbbbb aad cbbbbf aad bf dbbbbg aad bbb gbbbbd aad dbbb fbbbbc aaf cbbb bbbbb aaf bbbc cbbbbf aaf bbbd dbbbbg aaf bbb gbbbbd aaf fbbb cbbbbc aaf gbbg bbbbb aac bbbf gbbbbd aac bbb fbbbbg aac dbbb bbbbb aac cbbb cbbbbf aac gbbc dbbbbg aae bbbd gbbbbd aae bbb fbbbbc aae fbbb bbbbb aae gbbg gbbbbf aae bbbf dbbbbg aaa bbbd gbbbb aaa dbbbbbbbc aaa cbbbbg aaa gbbd aaa aaa aaa aaa aaa aaa eaa eaa ``` <!-- 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. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#7f8603ff b,#f9b969ff c,#decb92ff d,#a6ac53ff e,#b2d7b1ff f,#f2e4c6ff g,#99c892ff ``` ```image fa aaaf aaaaaf daaa caf daaaf eae gdaaageeeegageeee faaadeeeeeegageeee aaadeeeeeeeegageeee daaageeeeeeeeegadeeee daaa geeeeeeeeegadeeee caaaf geeeeeeeeeeadeeee faaac geeeeeeeeeeadeeee aaad geeeeeeeeeeadeeee aaad geeeeeeeeeeadeeee daaa geeeeeeeeeeadeeee caaaf geeeeeeeeeeadeeee faaac geeeeeeeeeeadeeee faaad geeeeeeeeeeabceee aaad geeeeeeeeeeabceee daaa geeeeeeeeeeabceee daaa geeeeeeeeeeabeeee caaaf geeeeeeeeeedbeeee faaac geeeeeeeeeedbeeee aaad geeeeeeeeeedbeeee aaaa geeeeeeeeeedbeeee daaa geeeeeeeeeebbeeee caaaf geeeeeeeeeebbeeee faaac geeeeeeeeeebbeeee aaad geeeeeeeeeebbeeee aad geeeeeeeeeebbeeee caac geeeeeeeeeebbeeee daa geeeeeeeeeebbeeee aaa geeeeeeeeeebbeeee aad geeeeeeeeeebbeeee faac geeeeeeeeeebbeeee daaf geeeeeeeeeebbeeee aaa geeeeeeeeeebbeeee aaa geeeeeeeeeebdeeee faad geeeeeeeeeebdeeee caaf geeeeeeeeeebdeeee daa geeeeeeeeeebdeeee aaa geeeeeeeeeebaeeee aad geeeeeeeeecbaeeee faac geeeeeeeeecbaeeee daaf geeeeeeeeecbaeeee aaa geeeeeeeeecbaeeee aaa geeeeeeeeecbaeeee faad geeeeeeeeebbaeeee caaf geeeeeeeeebbaeeee daa geeeeeeeeebbaeeee aaa geeeeeeeeebbaeeee ad geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebbaeeee geeeeeeeeebdaeeee geeeeeeeeebdaeeee fcff geeeeeeeeebdaeeee cbbbbbbbbbbcf geeeeeeeecbdaeeee cbb ffcbbbbbbbbbbbbcff geeeeeeeecbdaeeee fbb fcbbbbbbbbbbbbbcf geeeeeeeecbdaeeee f ffcbbbbbbbbbbbbcff geeeeeeeecbdageee fcbbbbbbbbbbbbbcf geeeeeeeecbdageee ffcbbbbbbbbbbbbcff geeeeeeeecbdageee ffcbbbbbbbbbbbbbff geeeeeeeebbgageee ffbbbbbbbbbbbbbceeeebbgageee ffcbbbbbbeeebbgageee geeecbbeebbgageee geeeecbbebbgageee geeeeecbbbbgadeee geeeeeecbbbgadeee geeeeeeecbbgadeee geeeeeeeeceeadeee geeeeeeeeeeeadeee geeeeeeeeeeeggeee geeeeeeeeeeeeeeee geeeeeeeeeeeeeeee ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7e8602ff b,#f9b869ff c,#fcd3a2ff d,#c2bf7bff e,#d6d8b0ff f,#f3ebd5ff g,#aca13aff ``` ```image daaaag eaa eaaaage eaa eaaaaa eaa aaaad faa agf faa g faa faa faa faa faa aa aa aa aa aa aa aa aa abbc abbc abbf abbf gbbf gbbf gbbf gbb gbb gbb gbb gbb bbc bbc bbc bbc bbc bbf bbf bbf bbf bbf bbf bbf bbf bbf bbf bbf bbe bbe bbe bbe bbe fbbe fbbe fbbe fbbe fbbe cbbd cbbd cbbd cbbd cbbd cbbd bbgd bbgd bbgd bbgd bbgg fbbgg fbbgg fbbag fbbag fbbag cbbag cbbag cbbag cbbag cbbag bbbaa bbbaa bbbaa bbdaa bbdaa bbdaa bbdaa bbdaa bbdaa bbdaa bbdaaf bbdaaf bbeaaf bbeaaf bbeaaf bbeaaf bbeaaf bbbbbcf bbeaae bbbbbbbf bbeaae bbbbbbbb bbeaae bbbf bbeaae cbbb fbbfaae bbbffbbfaae cbbbcbbfaae bbbbbfaae cbbbbfaae cbbbfaad cffaad aad aad eef ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#7e8501ff b,#fab969ff c,#fcd3a2ff d,#bdbc74ff e,#d3d5a9ff f,#f2ead3ff g,#a19d33ff ``` ```image ea faaaf aaaaaf gaaa eaf daaaf eae eaaae eae faaad fae aaag fae gaag fae daaa fae eaaaf fae faaae ad aaad ad gaag ad gaaa ad daaaf ad eaaae ad faaad abc aaag abf gaaa gbf daaaf gbf eaaae gb faaad gb aaag gb gaag gb daaa bb daaaf bb faaae bb aaad bb faag bb eaae bb gaa bb aaa bb aag bb faad bb daaf bb gaa bb aaa bd faad bg eaae bg gaa bg aaa fbg aag fbg eaae fba daaf cba aaa cba aag cba faad cba daaf bba gaa bba aaa bba ag bba bba bba bba bba bba bba bba bba bba bda bda cccf fbda cbbbbbbbbbbcff fbda cbb fccbbbbbbbbbbbbccf fbda fbb fcbbbbbbbbbbbbbcf cbdaf c fccbbbbbbbbbbbbccf cbeaf ffcbbbbbbbbbbbbbcf cbeaf fccbbbbbbbbbbbbccf cbeaf ffcbbbbbbbbbbbbbcf bbeaf fcbbbbbbbbbbbbbc bbeaf fccbbbbbb bbeae cbb bbfae cbb bbfae cbbbbfae cbbbfae cbbfae fffad ad ef ``` <!-- end of image -->
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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,#3fa235ff b,#72025dff c,#97c395ff d,#945887ff e,#b1d6b1ff f,#edf2edff g,#67b460ff ``` ```image aaf aaag faaaaa eaaafaae gaaa aaa aaag faa faaac aae eaaaf gaa caaa faa gaaa aac aaag caa faaae ffaaffffffffffffff eaaaf fceaageeeeeeeeeeeee gaaa feegaaeeeeeeeeeeeee aaag feeeaaceeeeeeeeeeee faaac feeeaaaeeeeeeeeeeee eaaae feeecaaeeeeeeeeeeee caaaf feeeeaaceeeeeeeeeee gaaa feeeeaaaeeeeeeeeeee aaag feeeecaaeeeeeeeeeee faaae fbbeeeaageeeeeeeeee eaaaf bbbdeegaaeeeeeeeeee gaaa bbbbbeeeaaeeeeeeeeee aaag fbbbdbbeeeaageeeeeeeee aaac ebbbfcbbeeegaaeeeeeeeee faaae dbbb febbeeeeaaceeeeeeee caaaf bbbb febbceeeaaaeeeeeeee gaaa bbbd febbdeeecaaeeeeeeee aaag bbbc fedbbeeeeaaceeeeeee faaae fbbbf fedbbeeeeaaaeeeeeee eaaaf ebbbf feebbeeeecaaeeeeeee gaaa dbbb feebbeeeeeaageeeeee aaaa bbbb feebbdeeeegaaeeeeee aaac bbbd feebbbeeeeeaaeeeeee faaae fbbbe feedbbeeeeeaageeeee caaaf ebbbf feecbbeeeeegaaeeeee gaaa dbbb feeebbeeeeeeaaeeeee gaag bbbb feeebbceeeeeaageeee aac fbbbd feeebbdeeeeecaaeeee gaa ebbbf feeedbbeeeeeeaaceee aae dbbb feeedbbeeeeeeaaaeee gaa bbbb feeeebbeeeeeecaaeee aae fbbbd feeeebbeeeeeeeeeeee gaa ebbbe feeeebbdeeeeeeeeeee aae dbbbf feeeebbbeeeeeeeeeee gaa bbbb fceeedbbeeeeeeceeee aae bbbd fffffbbfffffebdfff gaa fbbbe bb bbb aac dbbbf bbe bbb caa bbbb bbd bbbf ffffffffffffffaacfffffffff bbbd dbb dbbe ceeeeeeeeeeeeegaaeeeeeeeeecf fbbbe ebbfbbd ceeeeeeeeeeeeeaageeeeeeeeeef dbbbf bbbbb ceeeeeeeeeeeeeaageeeeeeeeeefbbbb bbbb ceeeeeeeeeeeeeaageeeeeeeeeebbbd bbbf ceeceeeeeeeeeeaageeeeeeeecbbbc dbd cbbbeeeeeeeeeeaageeeeeeedbbbf ccbbeeeeeeeeeeaageeeeeebbbbf cebbceeeeeeeeeaageeeeebbbbef cebbdeeeeeeeeeaageeeebbbdeef cedbbeeeeeeeeeaageedbbbceeef ceebbeeeeeeeeeaagedbbbeeeeef ceebbdeeeeeeeeaagbbbbeeeeeef ceebbbeeeeeeeeaabbbdeeeeeeef ceecbbeeeeeeeeabbbceeeeeeeef ceeebbeeeeeeedbbbeeeeeeeeeef ceeebbdeeeeebbbbceeeeeeeeeef ceeedbbeeeebbbbaceeeeeeeeeef ceeeebbeecbbbcaaceeeeeeeeeef ceeeebbcdbbbeeaaceeeeeeeeeef ceeeebbbbbbeeeaaceeeeeeeeeef ceeeedbbbdeeeeaaceeeeeeeeeef ceeeeebbceeeeeaaceeeeeeeeeef ceeeeeeeeeeeeeaaceeeeeeeeeef ceeeeeeeeeeeeeaaeeeeeeeeeeef ccaagceeeeeeeeaaeeeeeeeeeeef cgaaaaaageeeeeaaeeeeeeeeeeef ceegaaaaaaaaceaaeeeeeeeeeeef ceeeeecgaaaaaaaaeeeeeeeeeeef ceeeeeeeeecaaaaaeeeeeeeeeeef ecccccccccccccggccccccccccc ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#40a136ff b,#71025cff c,#a9d5a4ff d,#984a89ff e,#c599bdff f,#dfe1ddff g,#81c17aff ``` ```image faaaaaf gaaaag aaaaaf aaaag aaaag aaaag aaaag aaaag aaaag d ff aaaag fdb edbbd aaaag ebbb dbbbb aaaag ebbbb ebbbbe aaaag dbbbbb fbbbbd aaaag fdbbbbbb bbbbb aaaag fbbbbbbbe dbbbbf aaaag ebbbbbbdf ebbbbe faaaac dbbbbbbd fbbbbd faaaac fdbbbbbbe dbbbb faaaac fbbbbbbbe ebbbbe faaaac ebbbbbbbf fbbbbd faaaac dbbbbbbd bbbbd faaaac fdbbbbbbe dbbbbf faaaac fbbbbbbbe ebbbbe faaaacebbbbbbbf fbbbbd faaaadbbbbbbd bbbbb faaabbbbbbbd dbbbbf faabbbbbbbe ebbbbe fabbbbbbbf bbbbd dbbbbbbdf dbbbbf dbbbbbbd ebbbbe fbbbbbbbd fbbbbd ebbbbbbbac bbbbb ebbbbbbbaac dbbbbf dbbbbbbbaaaf ebbbbe fdbbbbbbdaaaaf bbbbd ebbbbbbbfcaaaaf dbbbb ebbbbbbdf caaaaf ebbbbe dbbbbbbd caaaaf fbbbbddbbbbbbe caaaaf bbbbbbbbbbbe caaaaf dbbbbbbbbdf caaaaf ebbbbbbbd caaaaf fbbbbbbe caaaaf dbbbbe caaaaf fbbdf caaaaf caaaaf caaaaf caaaaf aagc gaaaaf faaaaagcf gaaaa caaaaaaaaagcf gaaaa gaaaaaaaaaaaagcf gaaaa cgaaaaaaaaaaaaaaagcf gaaaa fcgaaaaaaaaaaaaaaagc gaaaa cgaaaaaaaaaaaaaaagaaaaa fcgaaaaaaaaaaaaaaaaa fgaaaaaaaaaaaaaa fcgaaaaaaaaaa ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Let's shift our focus to the next area. I wonder what we'll find inside area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#40a236ff b,#71015cff c,#a9d5a4ff d,#964487ff e,#be8cb5ff f,#dadad7ff g,#74bb6dff ``` ```image caaaac faaaag gaaaaf caaaac aaaag gaaaaf caaaac aaaaa gaaaaf faaaag aaaaa caaaac faaaag gaaaa caaaac faaaag ff gaaaaf fdbbd caaaac bbbbbf aaaaa bbbbbe gaaaaf bbbbbd caaaag bbbbbd aaaaa bbbbbb gaaaac bdbbbbf faaaag febbbbe aaaaa fbbbbe caaaac bbbbd faaaag dbbbb gaaaaf dbbbb caaaac ebbbbf aaaaa fbbbbe gaaaaf fbbbbd caaaag bbbbd aaaaa dbbbb gaaaaf ebbbbf faaaag ebbbbe aaaaa fbbbbe caaaac bbbbd faaaag dbbbb gaaaaf dbbbb caaaac ebbbbf faaaag fbbbbe gaaaaf bbbbd caaaac bbbbd aaaaa dbbbb gaaaaf ebbbbf faaaag ebbbbe aaaaa fbbbbe gaaaac bbbbd faaaag dbbbb aaaaa dbbbb caaaac ebbbbf faaaag fbbbbe gaaaaf bbbbd caaaac bbbbd aaaaa dbbbb gaaaaf ebbbbf caaaag ebbbbe aaaaa fbbbbe gaaaac bbbbd faaaac dbbbb ggf dbbbbf ebbbbf fbbbbe bbbbd bbbbd dbbbb ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area B. Answer: A: 1; B: 0; 1 + 0 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3fa235ff b,#71025dff c,#9cce97ff d,#99488aff e,#c395bbff f,#dbdfd9ff g,#67b560ff ``` ```image aa aaag faaaaa caaafaaf gaaa aaa aaag faa aaac aac faaaf gaa caaa aa gaaa aac aaag caa faaac aa caaaf aag gaaa caa aaag aaf aaac aaa faaaf faa caaa aac gaaa gaa aaag faa faaac db aac caaaf bbbe gaa gaaa bbbbd aa aaag fbbbdbb aag aaac ebbb fbb caa faaaf dbbb bb aaf caaa bbbb bbf aag gaaa bbbd bbd caa aaag bbbe dbb aaf faaac fbbbf ebb aaa caaaf ebbb bb faa gaaa dbbb bb aac aaaa bbbb bbe gaa aaac bbbd bbd aa faaaf fbbbe ebb aac caaa ebbbf fbb caa gaaa dbbb bb aa gaag bbbb bbf aag aac bbbd bbd caa gaa ebbbf dbb aaf aaf dbbb ebb aaa gaa bbbb bb faa aac bbbd bbf gaa fbbbf bbe aac dbbb bbd gaa bbbb ebb f aac bbbd fbb fbd gaa fbbbe bb bbb aac dbbb bbe bbb gaa bbbb bbd bbbf aac bbbd dbb ebbe caa fbbbe ebbfbbd aag ebbbf bbbbb aag bbbb bbbb aag bbbd bbbf f aac fbbbe dbe dbb aac ebbbf fbb aac dbbb bbf aac bbbd bbd aac fbbbe ebb aac ebbbf bb aac dbbb bbe aacbbbb bbb aabbbd ebb abbbf bb dbbb bbd bbbbf dbb bbbbaf bb ebbbfaaf bbedbbb aaf bbbbbb aaf ebbbd aaf bbe aaf aaf aaf faagf aa gaaaaaac aa caaaaaaagf aa fgaaaaaaaa caaaaa 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. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#1caccdff b,#f57e22ff c,#69c4cdff d,#efc092ff e,#a1cea2ff f,#eef4eeff g,#b1d7b2ff ``` ```image f aaa caaa faaaa aaaaa aaaaaa caaaaaaf faaacaaaf feeeeaaaaeaaaeeeeeeeeeeef feggaaaaggaaaegggggggggef fegcaaagggaaaegggggggggef feeaaacgggaaaegggggggggef feaaaaggggcaacgggggggggef faaaagggggcaacgggggggggef caaaggggggcaacgggggggggef faaacggggggcaacgggggggggef aaaagggggggcaacgggggggggef aaaaggggggggcaacgggggggggef caaaeggggggggcaacgggggebdgef faaageggggggggcaacggggebbbbef aaacfeggggggggcaacgggebbbbbbf aaaa feggggggggcaacggebbbbbbbb caaa feggggggggcaacgdbbbbgdbbbbf gaaaf feggggggggeaaadbbbbgggebbbbd aaac feggggggggeaaebbbbgggggebbbbd aaaa feggggggggeacbbbbggggggefbbbbb aaaa feggggggggeebbbbgggggggef bbbbb gaaaf feggggggggdbbbbggggggggef dbbbb faaac fegggggggdbbbbgggggggggef dbbbbf aaaa feggggggdbbbbagggggggggef fbbbbd aaaa fegggggdbbbbaagggggggggef bbbbb caaaf feggggdbbbbaaagggggggggef bbbbb faaac fegggbbbbbgaaagggggggggef bbbbb aaaa feggbbbbbggaaagggggggggef dbbbbf aaaa fegbbbbbgggaaagggggggggef fbbbf caaaf febbbbbggggaaagggggggggef bd faaac fbbbbbgggggaaagggggggggef aaaa bbbbbggggggaaagggggggggef aaaa bbbbbgggggggaaagggggggggef caaaf bbbbbggggggggaaagggggggggef faaac bbbbbgggggggggaaagggggggggefcaa aaaa bbbbdegggggggggaaagggggggggefaaaa aaaa bbbbdfegggggggggaaagggggggggeaaaaaa caaa bbbbd fegggggggggaaagggggggggaaaaaaac faaag bbbbd fegggggggggaaaggggggggcaaafgaaac aaaa bbbbd fegggggggggaaaggggggggaaac caaag feeeeeeeeeeeeeeeeeaaaa bbbbd fegggggggggaaagggggggaaaa aaaaf fegggggggggggggggcaaa bbbbd feeeeeeeeeeaaaeeeeeeaaaaf aaaa feggggggggggggggeaaag bbbbd ffffffffffaaafffffgaaaf aaaa feggggggggggggggaaaaf bbbbd aaa aaac aaaa fegggggggggggggaaaaef bbbbd aaa aaaa faaaa feggggggggggggaaaagef bbbbd aaa caaa faaac fegggggggggggcaaaegef bbbbd aaa faaag gaaac fegggggggggggaaaaggef bbbbf aaa aaaa caaag feggggggggggaaaagggef bbbbf aaa aaaa aaa fegggggggggaaaaggggef bbbbf aaacaaaf a feggggggggcaaaeggggef bbbbf aaaaaac feggggggggaaacgggggef bbbbf aaaaaa fegggggggaaaaggggggefbbbbf aaaaa feggggggaaaagggggggebbbbf aaaaf fegggggcaaaegggggggbbbbf caac fegggggaaacgggggggbbbbf ac feggggaaaagggggggbbbbf fegggaaaagggggggbbbbf feggcaaaeggggggbbbbef feggaaacggggggbbbbgef fegaaaaggggggbbbbggef feaaaaggggggbbbbgggef fcaaaggggggbbbbggggef faaacgggggbbbbgggggef aaaaggggebbbbggggggef aaaaggggebbbbgggggggef faaaeeeeebbbbeeeeeeeeef ag fbbbb fbbbb fbbbb dbbbb dbbbb dbbbb dbbbb fbbbb dbb d ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#1baccdff b,#f77c20ff c,#8ad4e5ff d,#f0f3f1ff e,#50bfd8ff f,#c1e8f1ff g,#f8a362ff ``` ```image caa faaa daaaa eaaaa caaaaa faaaaaa daaaaaaa eaaaaaae caaaaaaad faaaaaaaf daaaaaaac eaaaaaae caaaaaaad faaaaaaaf daaaaaaac eaaaaaae caaaaaaad faaaaaaaf daaaaaaac eaaaaaae caaaaaaad faaaaaaaf faaaaaaac eaaaaaae eaaaaaaed caaaaaaaf faaaaaaac deaaaaaae eaaaaaaed g caaaaaaaf gb faaaaaaaf gbb daaaaaaac gbbb eaaaaaae gbbbb caaaaaaad gbbbbb faaaaaaaf gbbbbbb daaaaaaac gbbbbbbb eaaaaaae gbbbbbbbg caaaaaaad gbbbbbbbg faaaaaaaf dgbbbbbbbg daaaaaaac dgbbbbbbbg eaaaaaae dgbbbbbbbg caaaaaaad dgbbbbbbbg faaaaaaaf dgbbbbbbbg daaaaaaac dgbbbbbbbg eaaaaaae dgbbbbbbbg caaaaaaad dbbbbbbbbg faaaaaaaf dbbbbbbbbg daaaaaaac dbbbbbbbbg eaaaaaae dbbbbbbbbg aaaaaaad dbbbbbbbbg aaaaaaf dbbbbbbbbg aaaaac dbbbbbbbbg aaaae dbbbbbbbbg ``` <!-- end of image --> Area A does not contain any intersection points. Let's inspect the next region. I'm now examining the contents of area B in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#1aaccdff b,#f67c20ff c,#79cee1ff d,#fbd5b9ff e,#4bb3c5ff f,#bae5efff g,#f8a363ff ``` ```image caaaaaaa eaaaaa faaaaaaaf eaaaaaf faaaaaaac eaaaaaf eaaaaaac eaaaaaf caaaaaae eaaaaaf faaaaaaaf eaaaaaf faaaaaaaf eaaaaaf eaaaaaac eaaaaaf caaaaaae eaaaaaf faaaaaaaf caaaaaf faaaaaaaf caaaaaf eaaaaaac caaaaaf caaaaaae caaaaaf aaaaaaaf caaaaaf aaaaaaf caaaaaf aaaaac caaaaac aaaae caaaaac aaaa caaaaac aaaf caaaaac aac caaaaac ae caaaaac gbgd a caaaaac dbbbbbg f caaaaac dbbbbbbbg faaaaac dbbbbbbbbbg faaaaac dbbbbbbbbbbbb faaaaac dbbbbbbbbbbbbb faaaaac dbbbbbbbbbbbbbb faaaaac dbbbbbbbbdgbbbbb faaaaac dbbbbbbbbd dbbbb faaaaae dbbbbbbbbd dbbb faaaaae dbbbbbbbbd dbb faaaaaedbbbbbbbbd g faaaaaebbbbbbbbd faaaaebbbbbbbbd faaaebbbbbbbbd faaebbbbbbbbd faebbbbbbbbd febbbbbbbbd dbbbbbbbbd dbbbbbbbbd dbbbbbbbbd dbbbbbbbbe gbbbbbbbbea gbbbbbbbbeaa gbbbbbbbbeaaa gbbbbbbbbeaaaa gbbbbbbbbeaaaaa gbbbbbbbb aaaaaa gbbbbbbbb aaaaaa gbbbbbbbb aaaaaa gbbbbbbbb aaaaaa gbbbbbbbb eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf gbbbbbbbg eaaaaaf bbbbbbbg caaaaaf bbbbbbg caaaaaf bbbbbg caaaaaf bbbbg caaaaaf bbbg caaaaaf bbg caaaaaf bg caaaaac g caaaaac caaaaac caaaaac caaaaac f caaaaac e caaaaac ca caaaaac faa faaaaac faaa faaaaac eaaa faaaaac caaaa faaaaac faaaaa faaaaac aaaaaa ``` <!-- end of image --> My analysis confirms the presence of 1 intersection in area B. Answer: A: 0; B: 1; 0 + 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#1baccdff b,#f67c20ff c,#8fd6e6ff d,#fbd6b9ff e,#54bed4ff f,#cbebf3ff g,#f9a465ff ``` ```image f aaa caaa aaaa aaaaa aaaaaa caaaaaa faaacaaa aaaa aaaf aaaa eaaf eaaa eaaf faaac eaaf aaae eaaf aaaa eaaf eaaa eaac faaac caac aaae caac aaaa caac eaaa caac bd faaaf caac dbbbg aaae caae dbbbbbb aaaa caae dbbbbbbbb eaaa faae dbbbb dbbbb faaaf faaedbbbb dbbbbd aaae faaebbbb bbbbg aaaa faebbbb bbbbg eaaa febbbb bbbbb caaaf dbbbb gbbbb aaae dbbbb dbbbbd aaaa gbbbba bbbbd aaaa gbbbbaa bbbbg caaaf gbbbbaaa bbbbb aaac gbbbb aaa gbbbb aaaa gbbbb aaa dbbbb aaaa gbbbg aaa dbbb caaaf gbbbg aaa bd faaac gbbbg aaa aaaa gbbbg aaa aaaa gbbbg aaa caaa gbbbg aaa faaac gbbbg aaa caa aaaa bbbbg aaa aaaa aaaa bbbbg aaa aaaaaa eaaa bbbbg aaa eaaaaaae faaac bbbbg aaa caaafcaaac aaae bbbbg aaa aaae eaaac aaaa bbbbd aaa aaaa eaaaf eaaa bbbbd aaa eaaa aaaa faaaf bbbbd aaa faaaf aaaa aaae bbbbd aaa aaae aaaa aaaa bbbbd aaa aaaa aaaa eaaa bbbbd aaa eaaa faaae faaaf bbbbd aaa faaaf caaac aaae bbbbd aaa aaae eaaaf aaaa bbbbd aaa aaaa eaa eaaa bbbbd aaacaaa a caaaf bbbbd aaaaaac aaae bbbbd aaaaaa aaaa bbbb aaaaa eaaa bbbb eaaaf caaaf bbbb eaac aaac bbbb ee aaaa bbbb aaaa bbbb caaaf bbbb aaac bbbb aaaa bbbb aaaa bbbb caaa bbbb faaac bbbb aaaa bbbb aaaa dbbbb aaa dbbbb ac dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb dbbbb bbbb dbb d ``` <!-- 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,#260430ff b,#7372c0ff c,#c1bad0ff d,#817588ff e,#b1d7b1ff f,#97c19cff g,#4f3858ff ``` ```image c gaa caad a caad ac daac gd daa ca gag a ag a a a a gd a dg a a a a a a a ac a dg a ca a a a a ca ac ca gd fg ca dg a dg a dd a gd gd gf dg ac a ac a ac a a ac a dg a ca a a a a a ac a gd a ca a a a a ca a ca gd ca dg dg a dg a f dd a caa gd af caac gd ca caac ac a aac ac ad aaf ac ca aad a a aad a gd gad a ca gag eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeeef gag eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeeef dag eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeeef dag eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeeef daa eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeeef daa eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeefaeeeeeeeeeeeef faa eeeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeeef caac eeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeeeeeef caac eeefaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeeeeeefcaac c eeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeeeeeeeeefaac cb eeedaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeggeeeeeeefaad cb eeedgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeeeeeaadef b eeebbfeeeeeeeeeeeeeeeeeeeeeeeeeeeeeafeeeaadeeef b eeegdbbbbbfeeeeeeeeeeeeeeeeeeeeeeeedaeaageeeeef bc eeegdeeeebbbbbbeeeeeeeeeeeeeeeeeeeeeaageeeeeeef bc eeeadeeeeeeeefbbbbbfeeeeeeeeeeeeeeeedeeeeeeeeef bc eeeadeeeeeeeeeeeeefbbbbbfeeeeeeeeeeeeeeeeeeeeef bc eeeafeeeeeeeeeeeeeeeeeebbbbbbeeeeeeeeeeeeeeeeef cbc eeeafeeeeeeeeeeeeeeeeeeeeeefbbbbbfeeeeeeeeeeeef bb eeeaeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbbfeeeeeeef bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbbfeef cbc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbbc bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefbbbbbc bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cbbbbcc cbc eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cbbbbc bb eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef cbbbc ffffffffffffffffffffffffffffffffffffffffffffffe ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#260431ff b,#706dc1ff c,#e3e1edff d,#84718bff e,#c2bfdbff f,#9f99c5ff g,#503559ff ``` ```image fag eaae fag gad dag daa dag caae dag gad dad daa dad caae gad gad gad faa gad caaf gaf gad aaf faa aaf caaf aae gag aae faac caae caaf caac gag eaac faac eaa aaf eaa dag faa eaac cd faa aaf cdaa fag dag cdaaag dag eaac cdaaaaf dag aad cdaaaad dag dag daaaadc cbbbfec eaac faaaadc ebbbbbbbffec gad faaaadc ggdfbbbbbbbbfec dag fgaaadc gad ceefbbbbbbbbfec eaadgaaadc gad ceffbbbbbbbffec gaaaadc gaf cefbbbbbbbbfecc daage gaf ccefbbbbbbbbfec fe aaf ceffbbbbbbbffec aae cefbbbbbbbbfeec aae cefbbbbbbbbfec caae ceffbbbbbbbbfec caac cefbbbbbbbbfeec caac cefbbbbbbbbfec eaac ceefbbbbbbbbfec eaa cefbbbbbbbbffec cef cefbbbbbbbbfec ceefbbbbbbbbfec ceffbbbbbbbffec cefbbbbbbb ccefbb c ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#250330ff b,#716ec1ff c,#d9d5e4ff d,#6e5875ff e,#98889dff f,#afa9caff g,#482b51ff ``` ```image f gaa caad a faae ac eaaf dd daac fa gag a ad a ac ac a ge a eg a ca a a a a a af a dd a ca a a ca a ca ac fa dd eg fa eg a dd a dd ac ge ge ge eg af ca ac a ac a a af a dd a ca a a a a a ac a dd a fa a a ca a ca ac fa ge fa eg eg ca ed a f dd a faa de ae caac ge fa caaf af a caaf af ae caae ac fa aae a a gad a ge gad a ca gad a a dag a gd dag a ca dag a a eaa a gd eaa a ca eaac a a faac ca dd faac ca a caaf c fa ac caaf cb eg dg caae cb eg a aae cb bbc ac aae bc dbbbbbfc eg gad bc ge cfbbbbfc aad bc ge cfbbbbf e bf af fbbbbfc bf ac cfbbbbfc cbf ac cfbbbbf bb a cbbbbbc bb fbbbbfc fbc cfbbbbf bb cbbbbbc bb fbbbbfc fbc cfbbbbf bb cfbbf ``` <!-- end of image -->
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This image seems promising for intersection detection. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#bdb8bdff b,#d8dee2ff c,#8eb9c4ff d,#b9ced6ff e,#b1d6b1ff f,#eff4f1ff g,#96ca96ff ``` ```image f c bb c fd c c df c bb c fd c c d c bf baa c baf bb fd baf a c baf a c daf bb d da fggaggggggggggggggcggggge aa feeeaeeeeeeeeeeeeceeeeeeg aa feeeeeeeeeeeeeeeeceeeeeeg fbbaaaaa feeeeaeeeeeeeeeeeceeeeeeg fbbdaaaaadbbf feeeeeaeeeeeeeeeceeeeeeeg ffbdaaaaadbbf feeeeeeeeeeeeeeeceeeeeeeg aaaaabbf feeeeeeaeeeeeeeceeeeeeeeg feeeeeeeaeeeeeeceeeeeeeeg feeeeeeeeeeeeeceeeeeeeeeg feeeeeeeeaeeeeceeeeeeeeeg feeeeeeeeeaeeeeeeeeeeeeeg feeeeeeeeeeeeceeeeeeeeeeg feeeeeeeeeeaeceeeeeeeeeeg feeeeeeeeeeeceeeeeeeeeeeg feeeeeeeeeeeceeeeeeeeeeeg feeeeeeeeeeceaeeeeeeeeeeg feeeeeeeeeeceeaeeeeeeeeeg feeeeeeeeeceeeeeeeeeeeeeg f feeeeeeeeceeeeeaeeeeeeeeg a feeeeeeeceeeeeeeaeeeeeeeg a feeeeeeceeeeeeeeeeeeeeeeg a feeeeeceeeeeeeeeeaeeeeeeg a feeeeceeeeeeeeeeeeaeeeeeg b feeeceeeeeeeeeeeeeeeeeeeg fb feeceeeeeeeeeeeeeeeaeeeeg ff feceeeeeeeeeeeeeeeeeaeeeg b fceeeeeeeeeeeeeeeeeeeeeeg d cgeeeeeeeeeeeeeeeeeeeaeeg a c fffffffffffffffffffffaff a c bb a fc a a fc a a fc bbd fc ab fc fc fc fc fc fc fc fc bc bc bc bc cd bc fcb bc bcb bd bcb bd bcf bd dcf bd dcf dd dcf dd dc dd dc dd cc dd cd ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#bcb7bcff b,#dfe0e3ff c,#8ab6c4ff d,#c0d7dfff e,#aeccd5ff f,#f3f4f5ff g,#cac7caff ``` ```image gaf fcd fag ecf bab fce gaf dcf fag ce bab bcb gaf ec fag fcd bab ecf gaf fce fag dcf bab ce gaf bcb fag ec bab bcd gaf ecf fag fcd bab dcf gaf ce fag bcb bab cc gaf bcd fag ec bab fcd gaf dcf fagfce baecb gcc bca ecab fcdgaf dcffag fce bab dcb gaf dce fag dce bab dce gaf dce fag dce bab dce gaf dce fag dce bab dce gaf ecd fag ecd bab ecd gaf ecd fag ecd bab ecd gaf ecd fag ecd bab ecd gaf ecd fag ecd bab cd gaf ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#bdb8bdff b,#dee0e3ff c,#8bb6c4ff d,#bfd7deff e,#a3c6d0ff f,#edf1f3ff g,#cecaceff ``` ```image f c bb c fd c c e c bb c fd c e e c df baa c baf bb fd gaf a c gaf a e gaf bb e ga a c ga a df aa bb c fbggaaag a fd fbbgaaaaagbbf a c fbbgaaaaaggbf bb e aaaaggbf a e a c bb df a c a bd bb c a e c cb dfa c a c bb f c a a c a a c bb a c a g c a g c bb fb c a bf c a b c bb g c a a c a a c bb a c a a fc a a fc bbg fc ab fc fc fc fc fc fc fc fc bc be be be cd be fcd be bcb be bcb de dcf de dcf de dcf de dcf de ec dd ec dd ee dd cd ``` <!-- 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,#5b5946ff b,#3d7b66ff c,#b2d7b3ff d,#342a16ff e,#7d9a89ff f,#a4cba7ff g,#ecf2edff ``` ```image g bbf g gbbb cbb cbbb bbbbf cbbbe ebbbbbg cbbbb gbbbbbe cbbbbg cbbbbbc fbbbbe ebbbbb fbbbbb gbbbbbe fbbbbbg fbbbbbc ebbbbbb bbbbbb ebbcbbb gbbbbbe ebbcbbbg fbbbbbg ebbccbbb bbbbbb ebbg bbb gbbbbbf bbbg bbbc ebbbbbg bbbg cbbb bbbbbe bbbg bbb cbbbbbc bbb bbbf ebbbbbg bbb gbbb gbbbbbe bbb bbb ee cbbbbbc bbb ebbf gddd ebbbbb bbb gbbb ddda gbbbbbe bbb bbb gdddg fbbbbbg bbb ebbe addd bbbbbb bbb gbbb dddf gbbbbbe bbb gggbbbggggggggggggggggg fddd fbbbbbg bbb gfffebbbffffffffffffffffg ddda bbbbbb bbb gfcccbbbcccccccccccccccfg gdddg gbbbbbf bbb gfcccbbbfccccccccccccccfg addd ebbbbbg bbb gfcccebbbccccccccccccccfg dddf bbbbbe bbb gfccccbbbccccccccccccccfg eddd cbbbbbcbbb gfccccbbbfcccccccccccccfg ddda ebbbbbbb gfccccebbbcccccccccccccfg gdddg gbbbbbb gfcccccbbbcccccccccccccfg addd cbbbb gfcccccbbbeccccccccccccfg dddc ebc gfcccccfbbbccccccccccccfg eddd gfccccccbbbccccccccccccfg ddda gfccccccbbbecccccccccccfg gddd gfccccccfbbbcccccccccccfg dddd gfcccccccbbbccccccccccfadd dddc gfcccccccbbbeccccccedddddd eddd gfcccccccfbbbccfadddddddddc ddde gfccccccccbbaddddddddddag cddd gfccccccfadddddddddaeccfg dddd gfccceddddddddddafcccccfg dddg gfaddddddddddafccccccccfg eddd cadddddddddafebbbccccccccfg ddde eddddddddddecccccbbbccccccccfg cddd eddddddddafccccccccbbbfcccccccfg ddda addddddegfccccccccccebbbcccccccfg dddg adddag gfcccccccccccbbbcccccccfg addd dddda gfcccccccccccbbbfccccccfg ddde dddde gfcccccccccccebbbccccccfg fddd dddde gfccccccccccccbbbccccccfg ddda ddddc gfccccccccccccbbbecccccfg gdddg ddddc gfccccccccccccfbbbcccccfg addd gddddg gfcccccccccccccbbbcccccfg dddf gddddg gfcccccccccccccbbbeccccfg fddd cdddd gfcccccccccccccfbbbccccfg ddda fdddd gfccccccccccccccbbbccccfg gdddg edddd gfccccccccccccccbbbecccfg addd edddd gfccccccccccccccfbbbcccfg dddf addda gffffffffffffffffbbbffffg eddd addda ggggggggggggggggebbeggg ddda dddda bbb gdddg dddde bbbg addddddde ebbe ddddddc bbb eddddc bbbg dddg fbbb e bbb bbbc cbbb bbb bbbc cbbb bbb bbbf gbbb bbb ebbg g ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#555544ff b,#3c7b66ff c,#b5c6beff d,#342a16ff e,#6d8e7eff f,#94aca1ff g,#dce4e1ff ``` ```image cbbbbbb bbbbbbc fbbbbbe gbbbbbbg bbbbbbc fbbbbbe gbbbbbbg ebbbbbf fbbbbbe gbbbbbbg ebbbbbf cbbbbbb gbbbbbbg ebbbbbf cbbbbbb bbbbbbc ebbbbbf cbbbbbb bbbbbbc fbbbbbe cbbbbbb bbbbbbc fbbbbbe gbbbbbbg bbbbbbc fbbbbbe gbbbbbbg ebbbbbf fbbbbbe gfa gbbbbbbg ceaddd ebbbbbf gfaddddddd cbbbbbb ceadddddddddd gbbbbbbg gfadddddddddddddd ebbbbbf ceaddddddddddddddddd cbbbbaadddddddddddddddddddaf gbaddddddddddddddddddddefg gcedddddddddddddddddddaec gfadddddddddddddddddddafg ceaddddddddddddddddddaec gfadddddddddddddddddddafg ceadddddddddddddddddddaab fadddddddddddddddddddaabbbbbc ddddddddddddddddddecg fbbbbbe ddddddddddddddafg gbbbbbbg dddddddddddefg bbbbbbc dddddddaec fbbbbbe ddddafg gbbbbbbg aec ebbbbbf fbbbbbe gbbbbbbg ebbbbbf cbbbbbb gbbbbbbg ebbbbbf cbbbbbb bbbbbbc ebbbbbf cbbbbbb bbbbbbc fbbbbbe cbbbbbbg bbbbbbc fbbbbbe gbbbbbbg bbbbbbc fbbbbbe gbbbbbbg ebbbbbf fbbbbbe gbbbbbbg ebbbbbf cbbbbbb gbbbbbbg ebbbbbf ``` <!-- end of image --> I can confirm that 1 intersection exists in area A. Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#5a5545ff b,#3c7b66ff c,#b4c5bdff d,#342a16ff e,#6a8c7cff f,#90a59aff g,#dce3e0ff ``` ```image g bbc g gbbb cbe gbbb bbbbc cbbbf ebbbbb cbbbb bbbbbe cbbbb cbbbbbc cbbbbe ebbbbb fbbbbb gbbbbbf fbbbbbg cbbbbbg fbbbbbe ebbbbb fbbcbbb gbbbbbf fbbcbbbg fbbbbbg ebbgcbbb bbbbbb ebbg bbb gbbbbbf ebbg bbbc fbbbbbg bbbg cbbb bbbbbe bbb bbb cbbbbbc bbb bbbc ebbbbb bbb gbbb bbbbbe bbb bbb ef cbbbbbc bbb ebbf ddd ebbbbb bbb gbbb ddda gbbbbbf bbb bbb dddg cbbbbbg bbb ebbf addd ebbbbb bbb bbb dddf gbbbbbf bbb bbb fddd fbbbbbg bbb fbbe ddda bbbbbe bbb bbb gdddg gbbbbbc bbb bbbg addd fbbbbbg bbb fbbe dddc bbbbbe bbb bbb fddd cbbbbbcbbb bbbg ddda ebbbbbbb cbbb gddd bbbbbb bbb addd cbbbb bbbc dddc ebg cbbb fddd bbb ddde bbbc gddd gbbb dddd bbb gadd dddc ebbf fdddddd eddd gbbb gadddddddddc ddde bbaddddddddddf gddd gedddddddddac dddd caddddddddde dddg edddddddddda eddd cadddddddddegfbbe ddde fddddddddddc bbb cddd eddddddddag bbbg ddda addddddf cbbe dddg adddag bbb addd dddda bbbg dddf dddde cbbb cddd ddddf bbb ddda ddddc bbbc dddg ddddg cbbb addd gddddg bbb dddf gdddd ebbc fddd cdddd gbbb ddda cdddd bbb gddd fdddd ebbf addd edddd gbbb dddc addda bbb fddd addda fbbf ddda dddda bbb gddd dddde bbbg adddddddf fbbe ddddddc bbb fddddg bbbg dddg cbbe f bbb bbbg cbbb bbb bbbc gbbb bbb ebbc gbbb bbb ebbg ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#7004bcff b,#fa7b8bff c,#b07dd6ff d,#ecc6dfff e,#8f3ec3ff f,#b1d6b0ff g,#96c897ff ``` ```image de aaa aaad daaa aaa eaad bbd daaa dbbbb aaa bbbbbbd eaac bbbbbbbbb aaa bbbb bbbbbd aaa bbbb dbbbbb caac dbbb bbbbbb aaa bbbd bbbbbd aaa bbbb dbbbbb caac bbbb bbbbbd fgggggaaagggggggggggggggggggg dbbb dbbbbb gfffffaaaffffffffffffffffffff dbbbd bbbbbd gfffffcaaefffffffffffffffffff bbbd dbbbbb gffffffaaafffffffffffffffffff bbbb bbbbbd gffffffaaafffffffffffffffffff bbbb bbb gffffffcaaeffffffffffffffffff dbbb b gfffffffaaaffffffffffffffffff bbbd gfffffffaaagfffffffffffffffff bbbb gfbbffffgaaafffffffffffffffff bbbb gbbbbbfffaaafffffffffffffffff dbbb gbbbbbbbfaaacffffffffffffffff dbbbd gffbbbbbbbaaaffffffffffffffff bbbd gfffffbbbbaaaffffffffffffffff bbbb gfffffffbbeaaebffffffffffffff bbbb gfffffffffbaaabbbbfffffffffff dbbb gffffffffffaaabbbbbbfffffffff bbbd gffffffffffeaaebbbbbbbfffffff bbbb gfffffffffffaaaffbbbbbbbbffff bbbb gfffffffffffaaaafffbbbbbbbbff bbbb eaad gffffffffffffaaaafffffbbbbbbbd dbbb aaa gfffffffffffffaaaaffffffbbbbbbbd bbbd daaa gffffffffffffffaaaagffffffbbbbbbbb bbbb aaad gfffffffffffffffaaaacffffffffbbbbbbbbbbb aaa gffffffffffffffffaaaacfffffff bbbbbbbb caae gfffffffffffffffffaaaaeffffff dbbbbd aaa gffffffffffffffffffeaaaefffff dbd aaa gfffffffffffffffffffeaaaefffg caac caaaa aaa daaaa aaa daaaa eaac daaaa aaa aaaa daaa aaaa aaad aaaad aaa aaaad caae aaaad aaa aaaac aaa eaaac eaac eaaae aaa caaae daaa caaaa aaad daaaa aaa daaaa caae daaaa aaa aaaa aaa aaaa caac aaaad aaa aaaad daaa aaaad eaad aaaac aaa eaaac daae eaaae aaad caaae aaa caaaa caac daaaa aaa daaaa aaa daaaa eaac aaaa aaa aaaa daaa aaaad aaad aaaad aaa aaaad caae aaaacaaa eaaaaaa eaaaac caaa cae ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#7003bcff b,#fb788aff c,#ac6bd6ff d,#f7d7e3ff e,#9437c1ff f,#fcabb5ff g,#ceaae8ff ``` ```image eaaaaag caaaaac daaaaaa eaaaaag gaaaaae daaaaaa eaaaaag gaaaaae aaaaaad eaaaaac gaaaaae aaaaaad caaaaac gaaaaae aaaaaad fd caaaaac dbbbfd gaaaaaa fbbbbbfd eaaaaag bbbbbbbbbd caaaaac fbbbbbbbbbbbfd daaaaaa fbbbbbbbbbbbbbfd eaaaaag fbbbbbbbbbbbbbbcaaaaac dfbbbbbbbbbbbbaaaaaa dfbbbbbbbbbbeaaaaag fbbbbbbbbeaaaaae dfbbbbbbaaaaaabf dfbbbbeaaaaaebbfd fbbeaaaaaebbbbbd dbaaaaaabbbbbbbf eaaaaaebbbbbbbbfd gaaaaaebbbbbbbbbbbd aaaaaabbbbbbbbbbbbbf caaaaacfbbbbbbbbbbbbbfd gaaaaae fbbbbbbbbbbbbbbd aaaaaac dfbbbbbbbbbbbbbf caaaaaac dfbbbbbbbbbbbbbfd gaaaaaaac fbbbbbbbbbbbbbbd caaaaaaae dfbbbbbbbbbbbbbf eaaaaaaae dfbbbbbbbbbbbbb caaaaaaae fbbbbbbbbbbb caaaaaaaed dfbbbbbbbb caaaaaaaed dfbbbbbb gaaaaaaaad fbbbb gaaaaaaaag dfb gaaaaaaaag d gaaaaaaaag daaaaaaaag deaaaaaaac deaaaaaaac eaaaaaaac eaaaaaaae eaaaaaaae caaaaaaae ``` <!-- end of image --> Success! This area contains 1 intersection point! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#7004bcff b,#fb7a8aff c,#b279daff d,#f6dfebff e,#923cc8ff f,#fcb4bdff g,#d6b8ebff ``` ```image ge aaa aaag gaaa aaa eaag bbd daaa fbbbb aaa dbbbbbbf eaac bbbfbbbbb aaa bbbb bbbbbf aaa bbbb dbbbbb caac fbbb fbbbbf aaa bbbf bbbbbd aaa bbbb fbbbbb caac bbbb bbbbbd aaa fbbb fbbbbb aaa dbbbd bbbbbf caae bbbf dbbbbb aaa bbbb bbbbbf aaad bbbb dbbb gaae fbbb fd aaa bbbf aaag bbbb dbf gaaa bbbb bbbbb aaa fbbb bbbbbbbdeaag dbbbd fbbbbbbaaa bbbf fbbbbaaa bbbb dbbeaaebd bbbb baaabbbf fbbb aaabbbbbb bbbf eaacbbbbbbbd bbbb aaa bbbbbbbf bbbb aaaa fbbbbbbb fbbb eaad aaaa dbbbbbbbd dbbbd aaa aaaad bbbbbbbf bbbf daaa aaaag fbbbbbbb bbbb aaag aaaag dbbbbbbbbbbb aaa aaaac bbbbbbbb gaae eaaac fbbbbd aaad eaaae dbf aaa caaae caac caaaa aaa gaaaa daaa gaaaa eaag daaaa aaa daaaa gaaa aaaa aaad aaaad aaa aaaag caae aaaag aaa aaaac aaa eaaac eaac eaaae aaa caaae gaaa caaaa aaag gaaaa aaa gaaaa caae daaaa aaa daaaa aaa aaaa caac aaaad aaa aaaag daaa aaaag eaag aaaac aaa eaaac gaae eaaae aaad caaae aaa caaaa caac gaaaa aaa gaaaa aaa daaaa eaac daaaa aaa aaaa gaaa aaaad aaag aaaag aaa aaaag caae aaaacaaa eaaaaaa eaaaac caaa cae ``` <!-- 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,#067562ff b,#36b0b8ff c,#b7deddff d,#73c0b7ff e,#3b9481ff f,#95c997ff g,#b1d7b2ff ``` ```image ge aaaae aaaaaaad caaaaaaaaad gaaaaaaaaag daaaaaaaaac daaaaaaaae eaaaaaaa eaaaaa daaaa eaaae eaaad aaaac aaaa aaaa caaaa gaaaa eaaae eaaad aaaac aaaa aaaaffffffffffffffffffffffffffffffffffffffffffffg faaaagggggggggggggggggggggggggggggggggggggggggggf fdaaaaggggggggggggggggggggggggggggggggggggggggggf fgeaaaegggggggggggggggggggggggggggggggggggggggggf fggaaaaeggggggggggggggggggggggggggggggggggggggggf fgggaaaafgggggggggggggggggggggggggggggggggggggggf fggggaaaagggggggggggggggggggggggggggggggggggggggf fgggggaaaaggggggggggggggggggggggggggggggggggggggf fgggggfaaaagggggggggggggggggggggggggggggggggggggf fggggggdaaaaggggggggggggggggggggggggggggggggggggf fgggggggeaaaadggggggggggggggggggggggggggggggggggf fgggggggdaaaaebgggggggggggggggggggggggggggggggggf fgggggdbbbaaaabbggggggggggggggggggggggggggggggggf fgggdbbbbbbaaaabbgggggggggggggggggggggggggggggggf fgbbbbbbbbggaaaabbggggggggggggggggggggggggggggggf bbbbbbbdggggfaaaabbdggggggggggggggggggggggggggggf bbbbbbbdgggggggdaaaabbdgggggggggggggggggggggggggggf cbbbbbbbdggggggggggeaaaabbbggggggggggggggggggggggggggf cbbbbbbbggggggggggggggaaaaebbbgggggggggggggggggggggggggf dbbbbbbb fgggggggggggggggaaaabbbbggggggggggggggggggggggggf dbbbbbbd fggggggggggggggggaaaabbbbgggggggggggggggggggggggf bbbbbbbd fgggggggggggggggggaaaabbbbdgggggggggggggggggggggf bbbbbbbc fgggggggggggggggggfaaaabbbbdggggggggggggggggggggf cbbbbbbbc fggggggggggggggggggfaaaabbbbbgggggggggggggggggggf cbbbbbbbc fgggggggggggggggggggeaaaebbbbbggggggggggggggggggf cbbbbbbb fggggggggggggggggggggaaaaebbbbbgggggggggggggggggf dbbbbbbb fgggggggggggggggggggggaaaafbbbbbggggggggggggggggf dbbbbbbd fggggggggggggggggggggggaaaagdbbbbfggggggggggggggf bbbbbbbd fgggggggggggggggggggggggaaaagdbbbbdgggggggggggggf bbbbbc fgggggggggggggggggggggggfaaaaggbbbbdggggggggggggf dbbc fggggggggggggggggggggggggfaaaaggbbbbbgggggggggggf fgggggggggggggggggggggggggeaaaeggbbbbbggggggggggf fggggggggggggggggggggggggggeaaaeggbbbbbgggggggggf fgggggggggggggggggggggggggggaaaafggdbbbbggggggggf fggggggggggggggggggggggggggggaaaagggdbbbbdggggggf fgggggggggggggggggggggggggggggaaaaggggbbbbdgggggf fgggggggggggggggggggggggggggggfaaaaggggbbbbbggggf fggggggggggggggggggggggggggggggfaaaaggggbbbbbgggf fgggggggggggggggggggggggggggggggeaaaeggggbbbbbggf fggggggggggggggggggggggggggggggggeaaaeggggbbbbbgf fgggggggggggggggggggggggggggggggggaaaafggggdbbbbd fggggggggggggggggggggggggggggggggggaaaafggggfbbbbd gfffffffffffffffffffffffffffffffffffaaaaffffffbbbbd aaaa bbbbb caaaa bbbbb daaae dbbbb eaaad dbbbc aaaac cbd aaaa aaaa aaaa caaaa daaae eaaad aaaac aaaa aaaa aaaa caaaa daaae eaa e ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#057562ff b,#36b0b9ff c,#a8d7d7ff d,#57a295ff e,#238a7dff f,#75c3c5ff g,#d6ececff ``` ```image aaaaaaad eaaaaaaad geaaaaaaaf gaaaaaaaac caaaaaaaag caaaaaaaeg faaaaaaae daaaaaaad eaaaaaaad geaaaaaaaf gaaaaaaaac caaaaaaaag caaaaaaaeg faaaaaaae daaaaaaad daaaaaaad geaaaaaaaf gaaaaaaaac caaaaaaaac caaaaaaaeg faaaaaaaefg daaaaaaaebf daaaaaaaebfg cbaaaaaaaaebbg cbbbbaaaaaaaaebbg cbbbbbbbaaaaaaaabbbc gfbbbbbbbbbeaaaaaaaabbbc gfbbbbbbbbbbbbeaaaaaaaabbbf gfbbbbbbbbbbbbbfcdaaaaaaaebbbf cfbbbbbbbbbbbbbfg daaaaaaaebbbbg cbbbbbbbbbbbbbbfg eaaaaaaaebbbbg cbbbbbbbbbbbbbbfg geaaaaaaaebbbbc bbbbbbbbbbbbbcg gaaaaaaaabbbbbc bbbbbbbbbbbc caaaaaaaabbbbbf bbbbbbbbbc faaaaaaaabbbbbf bbbbbbfg daaaaaaaebbbbbfg bbbbfg daaaaaaaebbbbbbg bbfg eaaaaaaaebbbbbbg cg geaaaaaaaebbbbbbc gaaaaaaaabbbbbbbf caaaaaaaabbbbbbbf faaaaaaaabbbbbbbfg daaaaaaaebbbbbbbbg daaaaaaaebbbbbbbbg eaaaaaaaebbbbbbbbc geaaaaaaaebbbbbbbbc gaaaaaaaabbbbbbbbbf caaaaaaaabbbbbbbbbf faaaaaaaefbbbbbbbbbg daaaaaaaefbbbbbbbbbg daaaaaaadcbbbbbbbbbc eaaaaaaafgbbbbbbbbbc geaaaaaaacgbbbbbbbbbf gaaaaaaaacgfbbbbbbbbf caaaaaaaag fbbbbbbbbbg faaaaaaaeg fbbbbbbbbbg daaaaaaae cbbbbbbbbbc daaaaaaad cbbbbbbbbbc eaaaaaaaf gbbbbbbbbbf geaaaaaaac gbbbbbbbbbf gaaaaaaaac fbbbbbbbbfg caaaaaaaag fbbbbbbbbbg faaaaaaaeg cbbbbbbbbbg daaaaaaae cbbbbbbbbbc daaaaaaad gbbbbbbbbbc eaaaaaaaf gbbbbbbbbbf geaaaaaaac fbbbbbbbbf gaaaaaaaac fbbbbbbbbbg caaaaaaaag cbbbbbbbbbg faaaaaaaeg cbbbbbbbbbc daaaaaaae gbbbbbbbbbc daaaaaaad gbbbbbbbbbf eaaaaaaaf gfbbbbbbbbf geaaaaaaaf fbbbbbbbbbg gaaaaaaaac fbbbbbbbbbg caaaaaaaag cbbbbbbbbbc faaaaaaaeg cbbbbbbbbbc daaaaaaae gbbbbbbbbbf daaaaaaad gbbbbbbbbbf eaaaaaaad fbbbbbbbbfg geaaaaaaaf fbbbbbbbbb gaaaaaaaac cbbbbbbbb caaaaaaaag cbbbbbbb faaaaaaaeg gbbbbbb daaaaaaae gbbbbb ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#057562ff b,#36b0b9ff c,#aed8d7ff d,#66aa9fff e,#308d7fff f,#74c5c8ff g,#deefefff ``` ```image ceg aaaad aaaaaaad caaaaaaaaaf caaaaaaaaac faaaaaaaaac daaaaaaaae daaaaaaa geaaaaa faaae daaad eaaaf aaaag aaaa aaaa gaaaa caaae daaae eaaaf aaaac aaaag aaaa gaaaa caaaa daaae eaaaf aaaac aaaag aaaa gaaaa caaaa daaaaf caaaaeb cbbbaaaabb fbbbbbbaaaabb fbbbbbbf aaaabbg bbbbbbbf gaaaabbc gbbbbbbbc caaaabbf cbbbbbbbc daaaabbf cbbbbbbbg eaaaebbb fbbbbbbb aaaabbbb fbbbbbbf aaaabbbbg bbbbbbbf aaaabbbbg gbbbbbbbc gaaaabbbbc gbbbbbbbc caaaabbbbf cbbbbbbbg daaaebbbbb cbbbbbbbg eaaadbbbbb fbbbbbbb aaaacfbbbb fbbbbbbf aaaagfbbbbg bbbbbbbf aaaa cbbbbc bbbbbc gaaaa gbbbbf fbbc caaaa bbbbb g daaae bbbbb eaaad bbbbb aaaac fbbbbg aaaag cbbbbc aaaa gbbbbf gaaaa bbbbb caaaa bbbbb daaae bbbbb eaaad fbbbbg aaaac cbbbbc aaaag gbbbbf aaaa gbbbbf gaaaa bbbbb caaaa bbbbb daaae fbbbbg eaaad fbbbc aaaac cbf aaaag g aaaa gaaaa caaaa daaae eaaad aaaac aaaag aaaa gaaaa caaaa daaae eaa 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. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#1bdbceff b,#dbe2e5ff c,#98eee9ff d,#b2d8b2ff e,#eef4f1ff f,#53ddccff g,#a0d2a8ff ``` ```image e b b b b ee ee b b b b b b ee ee b b b b b b ee ee b b f b ca b ff b ac b ae ee ea ee ca b ff b ac b a b ea b ca b ff ee ab ee a b ba b ca b ac b ab b a b ba ee fa ee ac b ae b a b ca b ff b ac b ae ee ea ee ca b ff b ac b ae b ea b ca b ffeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee eagggggggggggggggggggggggggggggggggggggggggde egaddddddddddddddddddddddddddddddddddddddddb eggadddddddddddddddddddddddddddddddddddddddb egdfaddddddddddddddddddddddddddddddddddddddb egddafdddddddddddddddddddddddddddddddddddddb egdddagddddddddddddddddddddddddddddddddddddb egddddaddddddddddddddddddddddddddddddddddddb egddddgadddddddddddddddddddddddddddddddddddd egdddddfadddddddddddddddddddddddddddddddddbd egddddddafddddddddddddddddddddddddddddddddbg egdddddddagdddddddddddddddddddddddddddbbbbbg egddddddddadddddddddddddddddbbbbbbbbbbdddddg egddddddddgaddddddbbbbbbbbbbdddddddddddddddg egddddddbbbfabbbbbdddddddddddddddddddddddddg eeebbbbbbbbbddddafdddddddddddddddddddddddddddddg eeebbbbbbbbee egdddddddddddagddddddddddddddddddddddddddggfccffaaaa eeebbbbbbbbee egddddddddddddaddddddgggffffaaaaaaaaaaaaaaffcccbe bbbbbee egddddddddddddgaaaaaaafffffggddddddddddddddg egdddddddddddddddddddddddddddddddddddddddddg egdddddddddddddddddddddddddddddddddddddddddg egdddddddddddddddddddddddddddddddddddddddddg ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#18dbceff b,#dfe3e8ff c,#8dede6ff d,#bef4f0ff e,#ecf3f5ff f,#3be0d5ff g,#60e5ddff ``` ```image fag eaac daad caae gaf fag eaac daad caae gaf efag eaac daad cafe gaf efag e daac e daad e cafe e faf b efac b daad eeb caad eeeeebbbbbbbb gafe eeeeebbbbbbbbbbbbbbbbee fag eeeeebbbbbbbbbbbbbbbbeeeee eaac eeeeebbbbbbbbbbbbbbbbeeeee daad eeeeebbbbbbbbbbbbbbbbeeeee caadeebbbbbbbbbbbbbbbbeeeee eeeeebbbbbgafbbbbbbbbeeeee eeeeebbbbbbbbbbbbbbbbfagee bbbbbbbbbbbbbeeeee eaac bbbeeeee daad caae eeddd gaf eeeddddccccgggfffaaaaaaaa efag eeddddccccggggfffaaaaaaaaaaaaaaaaaaaaaaafffg eaagcgggfffaaaaaaaaaaaaaaaaaaaaaaafffggggccccddddee daaaaaaaaaaaaafffgggccccddddeee dcccddddee ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#1adbceff b,#dfe3e7ff c,#7beae2ff d,#a9f1ecff e,#eef1f3ff f,#48e2d7ff g,#d0f7f4ff ``` ```image e b b b b ee ee b b b b b b ee ee b b b b b b ee ee b b f b da b ff b ad b ae ee ea ee da b ff b ad b a b ga b ca b fc ee ag ee a b ga b ca b ac b ag b a b ga ee cf ee ac b ag b a b da b ff b ad b ae ee ea ee da b ff b ad b ae b ea b da b ff ee ad ee a b ga b ca b fc b ag b a b ga ee ca ee ac b ag eeebbbb a eeebbbbbbbbee ga eeebbbbbbbbee eeebbffbbbbee eeebbbbbbbbee ac eeebbbbbbbbee ag egddccffaaaa eeebbbbbbbbee a ggddccffaaaaaaaaaaaaffccddge bbbbbee daaaaaafffccdgge ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. I've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#5fe4c4ff b,#36c910ff c,#b9f2dfff d,#91d388ff e,#5dd244ff f,#0dd8aaff g,#b1d8b1ff ``` ```image c afa ffcf ff f cfa fa afc cf ff f ff fa afa cf ffc f ff fa cff cf afa f ffc fa ff af cff f afa fa ffc af ff f cff fa afa af ffc f ff fc cff af f afa f f ff fc ff ff af f cfa f ff afc fcf ff aff ff fc cfa c afc ff ff cfa afc ff ff cfa afc ff ff cfa afc ff ff afa ffc ff ff f cbb cf dbbe af gbbbg fa ebbe fc dbbbc f cbbbd f ebbe cf dbbbg af cbbbd fa ebbe gggggfaggggggggd gbbbg gggggfgggggggggd ebbd gggggfgggggggggd dbbbc gggggfgggggggggd gbbbd ggggafgggggggggd ebbe ggggffgggggggggd dbbbc ggggfagggggggggd cbbbd ggggfggggggggggd ebbe ggggfggggggggggd gbbbg ggggfggggggggggd ebbd gggafggedggggggd dbbe gggffebbbggggggd gbbbg gggfebddbggggggd ebbe gggfdgggbggggggd dbbbc ggggggggbggggggd cbbbd ggggggggbggggggebbe ggggggggbdggdbbbg ggggggggbebbbegd ggggggggebbggggd gggggggggggggggd gggggggggggggggd gggggggggggggggd ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#4ee2c1ff b,#35c910ff c,#95edd8ff d,#9ee58eff e,#68d64dff f,#0bd8a8ff g,#d2f4d9ff ``` ```image ffa ffa gffc cffg cff aff afa ffa gffc cffg cffg aff afa ffa gffc gffc cffg aff afa ffa ffc gffc cffg gebd aff gebbbe affgebbbbbb fffbbbbeebb gfffbbeg dbbg effbeg gbbd cffd gbbd cff bbe ebe ebb dbbg d dbbg gdbb gbbd debbbb bbd gebbbbbed bbedbbbbbbdg ebbbbbbeg dbbbedg gedg ``` <!-- end of image --> Incredible, there's actually 1 intersection in area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#43e1bdff b,#37c911ff c,#8becd6ff d,#a3e694ff e,#6ad74eff f,#0ad8a9ff g,#d2f6e3ff ``` ```image g afa ffcf gff f cfa fa afg gf ff f gff fa cfa cf afg f ff fa gff cf cfc f afg fc ff cf gff f cfc fc ffg cf ff f gfa fc cfc cf ffg f ff fc gfa af a afc f gf ffg fc fa ff af f gfa f af afc fcfg ffg aff ff fg gfa c afc ff ff cfa afc ff ff cfa afg ff gff cfa afg ff gff cfa afg ff ff f gbb gf ebbbg cf dbbbd fa ebbe fc dbbbg f gbbbd f ebbe gf dbbbg cf gbbbd aa ebbeg fc dbbbd fg gebbe f dbbbg gf gbbbd cf ebbe aa dbbbg fc gbbbd fg ebbe f dbbbd gf gbbbe cf ed ebbbg aaebbb dbbbd ffbgdb ebbe fd gb dbbbg b gbbbd bg ebbe bd dbbbg bebbbd dbeg ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#2def5eff b,#182d42ff c,#91d499ff d,#4c686aff e,#8ca49bff f,#b1d7b1ff g,#5de87eff ``` ```image e ebb dbbb dbbb dbbb ebbb ebbb fbbb fbbb fbbbf bbbf bbbf bbbe bbbe bbbd bbbd bbbd bbbb bbbb dbbb dbbb dbbb dbbd dbb bbe bbb ebb bbd dbb bbf bbb ebb bbd ag dbb aaaa bbf gaaag bbb aaaa ebb gaaac bbd faaaa dbb aaaaf bbf faaaa bbb aaaaf ebb caaaa bbd cg aaaaf bbb aaf gaaag bbf aaaa aaaa bbb aaaa gaaag dbbccccccccccccccccccccccccccccccaaaaagccccccccccccccc aaaa fbbdffffffffffffffffffffffffffffcaacaaafffffffffffffff aaaac fbbbffffffffffffffffffffffffffffaaaffaacffffffffffffff faaaa fcbbeffffffffffffffffffffffffffcaacffaaaffffffffffffff aaaaf ffbbbffffffffffffffffffffffffffaaafffgaaffffffffffffff faaaa ffdbbfffffffffffffffffffffffffcaacffffaagfffffffffffff aaag fffbbdffffffffffffffffffffffffaaafffffaaafffffffffffff gaacfffbbbfffffffffffffffffffffffcaacfffffcaacffffffffffff aaacffcbbeffffffffffffffffffffffaaafffffffaaaffffffgaafff aaafffbbbfffffffffffffffffffffcaacfffffffgaaffffffaaafff aaaffdbbfffffffffffffffffffffaaafffffffffaagfffffaaafff caaaffbbdfffffffffffffffffffcaacfffffffffaaafffffaaafff aaagfbbbfffffffffffffffffffaaaffffffffffcaacffffaaafff faaacebbefffffffffffffffffcaacfffffffffffaaaffffaaafff ffaaafbbbfffffffffffffffffaaaffffffffffffgaaffffaagfff ffcaaadbbffffffffffffffffcaacfffffffffffffaagfffaagfff fffgaaabbdfffffffffffffffaaaffffffffffffffaaafffaagfff ffffaaadbbffffffffffffffcaacffffffffffffffcaacffaagfff fffffaaabbcfffffffffffffaaaffffffffffffffffaaaffaagfff ffffffaaabbffffffffffffcaacffffffffffffffffgaaffaacfff fffffffaaabffffffffffffaaaffffffffffffffffffaagfaacfff fffffffgaaadffffffffffcaacffffffffffffffffffaaafaacfff ffffffffgaadffffffffffaaafffffffffffffffffffcaacaacfff fffffffffaaacffffffffcaacffffffffffffffffffffaaaaaffff ffffffffffaaaffffffffaaafffffffffffffffffffffgaaaaffff ffffffffffdaaaffffffcaacffffffffffffffffffffffaaaaffff fffffffffffdaaafffffaaaffffffffffedfffffffffffaaaaffff fffffffffffbaaagfffcaacfffffffebbbbbdfffffffffcaaaffff fffffffffffebaaacffaaafffffebbbbbbbbbbbcfffffffaaaffff ffffffffffffbbaaafcaacffebbbbbbbdffdbbbbbefffffgaaffff ffffffffffffdbbaaaaaaebbbbbbbdfffffffdbbbbbdffffaaffff fffffffffffffbbgaaaabbbbbbdffffffffffffebbbbbbffffffff fffffffffffffbbbaaaabbbdfffffffffffffffffcbbbbbbefffff fffffffffffffebbbaabdfffffffffffffffffffffffdbbbbbefff ffffffffffffffbbbdcfffffffffffffffffffffffffffdbbbbfff ffffffffffffffffffffffffffffffffffffffffffffffffebdfff ffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffff ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#2cef5eff b,#182f43ff c,#9af7b2ff d,#5f737dff e,#5df283ff f,#aab2b9ff g,#cff3daff ``` ```image fbbbbb gaaaaaaaaaae gbbbbbf eaaaaagaaaaa dbbbbd gaaaaac aaaaac fbbbbb eaaaaa caaaae bbbbbf gaaaaac aaaaag dbbbbb eaaaaa eaaaae gbbbbbg gaaaaac gaaaaa dbbbbd eaaaaa aaaaac fbbbbb gaaaaac caaaae bbbbbf eaaaae gaaaaag dbbbbd gaaaaac eaaaae gbbbbbg eaaaae gaaaaa dbbbbd gaaaaac aaaaac fbbbbb eaaaae caaaae c bbbbbf gaaaaac gaaaaag ag dbbbbd eaaaae eaaaae ceeccg aag gbbbbbg gaaaaac gaaaaa eaaaag aae dbbbbd eaaaae aaaaac eaaaag aaae fbbbbb gaaaaac caaaae eaaaag aaaaag dbbbbd aaaaac eaaaac aaaaa aaaaaag gbbbbbg aaaae caaaaa aaaaa caaaaae dbbbbd gaaaac aaaaac aaaaa eaaaaae fbbbbb eaaae caaaae aaaaa eaaaaac bbbbbf gaaaac gaaaaag aaaaa gaaaaaag dbbbbd eaaae eaaaac aaaaa gaaaaaag gbbbbbg gaaaac caaaaa aaaae caaaaae dbbbbd eaaae aaaaac gaaaae eaaaaae fbbbbb gaaaag caaaae gaaaae eaaaaac bbbbb eaaae gaaaaag gaaaae gaaaaaagdbbbb gaaaag eaaaac gaaaae gaaaaaafbbbbg eaaaa caaaaa gaaaae caaaaaedbbbd gaaaaa aaaaac gaaaae eaaaaaebbbb eaaaae caaaae caaaac eaaaaadbbbf gaaaaag gaaaaag caaaac gaaaaaabbbd eaaaae eaaaac caaaac gaaaaaabbbg gaaaaag caaaaa caaaac caaaaaabbd eaaaae aaaaac caaaac eaaaaabbb gaaaaag caaaae caaaac eaaaadbbf eaaaae gaaaaag caaaac gaaaaabbd gaaaaag eaaaac eaaaag gaaaaabbg eaaaae caaaaa eaaaag caaaaabd gaaaaag aaaaa eaaaag eaaaaab eaaaae eaaaa eaaaag eaaaadf gaaaaag gaaaageaaaag aaaaad eaaaae eaaaceaaaag aaaaaag gaaaaag caaaaaaaaag caaaaaa eaaaae aaaaaaaaa eaaaaae gaaaaag eaaaaaaaa gaaaaaac eaaaae gaaaaaaaa daaaaaac gaaaaag eaaaaaaa fbaaaaaag eaaaae caaaaaaa bbaaaaaa gaaaaag fdfg aaaaaaa fbaaaaaae eaaaae fdbbbbbdg eaaaaae gbbaaaaaac gaaaaag fdbbbbbbbbbbdf gaaaaae dbbaaaaaac eaaaae fdbbbbbbbbbbbbbbbbf aaaaae fbbbaaaaaag gaaaaag fbbbbbbbbbbbbbbbbbbbbbdg aaaaae fbbbaaaaaae gaaaaag fdbbbbbbbbbbbbbdf fdbbbbbbbbbbdf eaaaae gbbbbaaaaaac eaaaae gdbbbbbbbbbbbbbdf gdbbbbbbbbbbbf gaaaac dbbbbaaaaaaeaaaaaggdbbbbbbbbbbbbbdf gdbbbbbbbbbbbdg caae fbbbbbaaaaaaaaaaabbbbbbbbbbbbbbf fbbbbbbbbbbbdf gg bbbbbeaaaaaaaaabbbbbbbbbbbbdf fdbbbbbbbbbbdf fbbbbbcaaaaaaaabbbbbbbbbdf gdbbbbbbbbbbbg gbbbbbdaaaaaaabbbbbbbdf gdbbbbbbbbbbdg dbbbbbbaaaaaabbbbdf fbbbbbbbbbbdf fbbbbbbbaaaabbdf fdbbbbbbbbbbf bbbbbbbbaadf gdbbbbbbbbbd fbbbbbbdfg gfbbbbbbbf dbbdfg fdbbbbb g fdbbd gdg ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#2eef5fff b,#182d43ff c,#87f6a3ff d,#4a646cff e,#7e8d96ff f,#b2b9c0ff g,#d0f4daff ``` ```image e fbb dbbb dbbb dbbb ebbb ebbb fbbbg fbbbg gbbbg gbbbf bbbf bbbe bbbe bbbd bbbd bbbd bbbb bbbb dbbb dbbb dbbb ebbd dbb bbf bbb fbb bbd dbb bbf bbb fbb g bbd gaa dbb aaaag bbf aaaac bbb gaaaa ebb aaaac bbd gaaaa dbb aaaac bbf caaaa bbb aaaag ebb caaaa bbd cc aaaag bbb gaag caaaa gbbf aaaa gaaaag bbb gaaaa aaaac ebb aaaaac gaaaa bbe gaacaaa aaaac bbb aaa gaag gaaaa gbbf gaac aaa aaaac bbb aaa caa caaaa ebb gaac aac aaaa bbe aaa aaa aaac bbb gaag gaag aaag gbbg aaa aaa caa aaa bbb gaag caa aaa gaaa ebb aaa aac aaa caaa bbe gaag aaa aaa aaac bbb aaa gaag aaa aaaggbbg gaag aaa aaa aaa bbb aaa caa aaa gaaaebb gaag aac aac caaabbe aaa aaa aac aaadbb gaag gaag aac aaabbg aaa aaa aac aaabb gaag caa aac gaaab aaa aac aag caaae gaag aaa aag aaad aaa gaagaag aaag gaag aaaaag aaa aaa caaaa daaa gaag aaaa daaa aaa fe aaaa baaac gaag fbbbbbd gaaa fbaaag aaa fbbbbbbbbbbbg aaa bbaaa gaag fbbbbbbbe dbbbbbf caa dbbaaaaaagbbbbbbbe ebbbbbe aa bbeaaaabbbbbbd fbbbbbd bbbaaaabbbd gbbbbbbg fbbbaabd dbbbbbf bbbdg ebbbb fbe ``` <!-- 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,#c4afa6ff b,#9afaabff c,#cf8895ff d,#edf4ebff e,#b1d8b1ff f,#95ca96ff g,#a6d2a6ff ``` ```image a cc cccd ccdcd ccd cd ccd ca ccd ca ccd ca ccd ca acd cc acd cc aca cc aca cc ffffffffffffffffffffffffffffffffacaffffffffffccffffff dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacaeeeeeeeeeeeaceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeaceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeeaceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeeeaceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeeacceeeeeeeeeeeeeeeeceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeeecceeeeeeeeeeeeeeeeeeceeeeee dgeeeeeeeeeeeeeeeeeeeeeeeecceeebeeeeeeeeeeeeeeeceeeeee dgeeeeeeeeeeeeeeeeeeeeeeecceebbbeeeeeeeeeeeeeeeceeeeee dgeeeeeeeeeeeeeeeeeeeeeeccebbbbbbeeeeeeeeeeeeeecaeeeee dgeeeeeeeeeeeeeeeeeeeeeccebbbeeebeeeeeeeeeeeeeecaeeeee dgeeeeeeeeeeeeeeeeeeeeccbbbeeeeebbeeeeeeeeeeeeecaeeeee dgeeeeeeeeeeeeeeeeeeecbbbeeeeeeeebeeeeeeeeeeeeecaeeeee dgeeeeeeeeeeeeeeeeeegbbeeeeeeeeeebbeeeeeeeeeeeecaeeeee dgeeeeeeeeeeeeeeeeebbbeeeeeeeeeeebbeeeeeeeeeeeecceeeee dgeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeebbeeeeeeeeeeecceeeee dgeeeeeeeeeeeeebbbceeeeeeeeeeeeeeebbeeeeeeeeeeecceeeee dgeeeeeeeeeeebbbaceeeeeeeeeeeeeeeeebeeeeeeeeeeecceeeee dgeeeeeeeeebbbbcceeeeeeeeeeeeeeeeeebbeeeeeeeeeecceeeee dgeeeeeeeebbbecceeeeeeeeeeeeeeeeeeeebeeeeeeeeeeaceeeee dgeeeeeebbbeecceeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeaceeeee dgeeeebbbeeecceeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeeaceeeee dgebbbbeeeecceeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeaceeeee dbbbbbeeeeeccaeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeaceeeee dbbbbbeeeeeeeccaeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeceeeee dbbbbe dgeeeeeeccaeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeceeeee ebbbbd dgeeeeeccaeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeeceeeee dbbbbbd dgeeeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeceeeee dbbbbbd dgeeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeeeceeeee dbbbbe dgeeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeecaeeee ebbbbd dgeacaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeeeecaeeee bbd dgacceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeecaeeee db dacceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeecaeeee bb dcceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeecceeee bb dcceeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeecceeee bd dccgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeeecceeee db dccdgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeecceeee bb dcc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeecceeee bb dcc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeecceeee bd cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeaceeee db cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeaceeee bb cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeaceeee bb cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaceeee bd cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaceeee db cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeceeee bb cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbceeee bb cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebceeee bd cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeee db cc dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaeee bb ccd dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebeeee ddddbbddddddddd ccd dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee fggggbggggggggggccd dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeeebeeeeeeeeeccd dgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee feeebbeeeeeeeeccd fffffffffffffffffffffffffffffffffffffffffffffffffffff feeebbeeeeeeeccad feeebeeeeeeeccagd feeebeeeeeeccaegd feebbeeeeeacaeegd feebbeeeeacaeeegd feebeeeeacaeeeegd feeeeeeacaeeeeegd feeeeeacceeeeeegd feeeeacceeeeeeegd feeeacceeeeeeeegd feeacceeeeeeeeegd feecceeeeeeeeeegd feeaeeeeeeeeeeegd feeeeeeeeeeeeeegd feeeeeeeeeeeeeegd ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#e5bec6ff b,#98fdabff c,#d08594ff d,#defee4ff e,#f1dce0ff f,#d99fabff g,#befdcaff ``` ```image gbbg gbbd bbb e dbbb ec gbbg fc gbbd fcc bbb fccc dbbb fccce gbbg fccce gbbd fccce bbb fccce dbbb fccca gbbg fccca gbbd fccca bbb fccca dbbb accca gbbg accca gbbd accca dgb accca acccf acccf acccf acccf ecccf ecccf ecccf ecccf ecccf ecccf cccf ecce ee ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. Let's shift our focus to the next area. My goal is to determine if there's an intersection inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#e6c1c8ff b,#98fcaaff c,#d08694ff d,#dcfde2ff e,#f3e1e5ff f,#d7a2abff g,#b8fbc4ff ``` ```image accca fce acccf fce acccf fce acccf aca acccf aca acccf aca acccf aca cccf aca eccf ecf eccf ecf eccc ecf ecccc ecf ecccce ecc ecccce cc ecccce cc ecccce cc ecccce dgd cc fccce dbbb fce fccce dgbbbbd fce fccce gbbbbbbg fce fccce gbbbbb bbbd fce fccce dbbbbbg gbbg fce fcccadbbbbbgd dbbb aca fcccagbbbbbd gbbg aca cccgbbbbbd dbbb aca fcfbbbbbg bbbd aca ffbbbbgd bbbd ecf abbbbbd gbbg ecf gbbbbd bbbd ecf dbbbbbg gbbg ecf dbbbbbbd dbbb ecf dgbbbbbf gbbg cc gbbbbbff dbbb cc gbbbbbfcf bbbd cc dbbbbbbccf dbbb cc dbbbbbfccf bbbd cc dgbbbbgcccf gbbg cce gbbbbdecccf bbbd cce dbbbbb ecccf gbbg cce dbbbbbgdecccf dbbb cce dgbbbbbd cccce gbbg cce gbbbbbd eccce dbbb cca dbbbbbg eccce dbbb cca dbbbbbgd eccce bbbd cca dgbbbbbbd ecccc gbbg cca dgbbbbbbbd efccce bbb ccf bbbbbbbbd fccce gbb ccf bbbbgdd fccce dbb ccf bgd fccce gbg ccf fccce dbb ccf fccce bbd ccc fccca dbb ccc fccca bbd ccc fccca bbg ccc fccca bbbd ccce fccca gbbg fcce accca dbbb fcce ccca gbbg fcce acca dbbb fcce accf dbbb acca accc bbbd acca acccf gbbg acca acccf bbbd acca ecccf gbbg acca ecccf dbbb eccf cccf gbbd eccf ccf dbbb eccf cf bbbd eccf f dbbb eccc e bbbd ccc gbbg ccc bbbd ccc gbbg ccc dbbb fcce gbbd fcce dbbb fcce dbbg fcce bbbd acca gbbg acca bbb acca gbbg acca dbbb acca gbb eccf dbb eccf bbdeccf dbgeccf bbdccf gbgccc bbccc bbbcc bbbcc gbbfc dbbbce dbbbe bbbd gbbd d ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area B. Answer: A: 0; B: 1; 0 + 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#e7c3caff b,#98fcaaff c,#d08695ff d,#dafde1ff e,#f3e2e5ff f,#dba3aeff g,#b4fdc1ff ``` ```image f cc ccce ccece cce ca cce ca cce ca fce cf fce cf fca cc fca cc fca cc aca fc acf fc acf fc acf ac ecf ac ecf ec ecf ec ecc ec ecc c ecc g c cc gbbd ce cc gbbdbb ce ccdbbg db ca ccbbb bb ca cbbb db ca bbbd bg cf dbbg gb cf dbbb bg cc bbbc bb cc gbbcc bd cc gbbdcc bb fc dbbg cc db fc bbb cce bb ac bbb cce db ac gbbbd cce bg ac dgbbbbd fce gb ec dbbbbg fce bd ec dbbbbg fca bb c gbbbbd fca bd c dgbbbbd fca bb ce dbbbbg fca db ce dbbbbg acf bb ce gbbbbd acf db ca bbd acf bg ca db acf gb cf bb ecf bd cf bg ecf bb cf bd ecc bd cc db ecc bb cc bb ecc db cc bg cc bb fc bd cc db fc db cc bg ac gb cc gb ac bg cc bdac bd cc bbec db cc bdc gb cc bbc bg cc dbc bd cc bbe db cc dbe gb cc bd bg cce bd cce db cce gb fce bg fce bd fce db fca gb fca bb fca bd aca acf acf acf ecf ecf cc e ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#d9a6c6ff b,#b3e756ff c,#ad4a85ff d,#95035fff e,#b0d7b0ff f,#9ac795ff g,#d5f2a3ff ``` ```image cddddcccaaa dddddddddddddddddddddddccaaaa dd aaacccddddddddddddddddddddddddd adc aaaaccdddddddddc cda addda dd dddd dd addda dd cddd adc dddc cda addda dd dddd fffffffffffffddffffffffe addda eeebeeeeeeeeeddeeeeeeeef cddd eebbbeeeeeeecdceeeeeeeef dddc eeebbbeeeeeeddfeeeeeeeef cddda eeeebbbeeeeeddeeeeeeeeef dddd eeeeebbfeeeeddeeeeeeeeef addd eeeeeebbeeeeddeeeeeeeeef ddc eeeeeebbbeecdceeeeeeeeef dd eeeeeeebbbeddfeeeeeeeeef cdd eeeeeeeebbbddeeeeeeeeeef dda eeeeeeeeebbcdeeeeeeeeeef add eeeeeeeeeebbceeeeeeeeeef ddc eeeeeeeeeefbbeeeeeeeeeef dda eeeeeeeeeedbbbeeeeeeeeef add eeeeeeeeeeddbbbeeeeeeeef ddc eeeeeeeeeeddebbbeeeeeeef dd eeeeeeeeefddeebbfeeeeeef cdd eeeeeeeeecdceeebbeeeeeef dda eeeeeeeeeddeeeefbbeeeeef dd eeeeeeeeeddeeeeebbbeeeef cdd eeeeeeeeeddeeeeeebbbeeef dda eeeeeeeefddeeeeeeebbbeef add eeeeeeeecdceeeeeeeebbeef ddc feeeeeeeddfeeeeeeeefbbff da dd gbb dd bbb adc bbb cda bbg dd bb dd gbb dd bbb adc bbb cda bbg dd bbg dd gbb dd gbb adc bbb cda bbb dd bbg dd bb dd gbb adc gbb cda bbb dd bbg dd bbg dd bb adc gbb dda bbb dd bbb dd bbg dd bbg acc gbb gbb bbb bbb bbbbg gbbbbbg bbbbbb bbbbbb gbbbbbg gbbbbbg gbbbbb bbbbbg gbbbbbg gbbbbb bbbbbg gbbbbb bbbbbg gbbbb g ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#ca85aeff b,#b2e755ff c,#ae4b80ff d,#95035eff e,#e3bdd4ff f,#e8f6cdff g,#caee89ff ``` ```image cddda dddde gg dddd fbbbg edddc gbbbbf adddc bbbbbf cddda fbbbbbf dddde fbbbbb dddd gbbbbg edddc gbbbbg adddc gbbbbf cddda bbbbbf dddde fbbbbb fdddd fbbbbg edddc gbbbbg addda gbbbbg cddda bbbbbf dddde fbbbbbfedddd fbbbbbedddc fbbbbbddda gbbbbcdda gbbbbcde bbbbbc fbbbbb abbbbb ccbbbbg ddbbbbbg edddbbbbbf adddcbbbbbf adddafbbbbb cddde fbbbbg ddddf gbbbbg edddd gbbbbf adddc bbbbbf cddda fbbbbbf cddde fbbbbb dddd gbbbbg edddd gbbbbg adddc gbbbbf cddda bbbbbf cddde fbbbbb dddd fbbbbg edddd gbbbbg adddc gbbbbf cddda bbbbbf dddde fbbbbbf dddd fbbbbb ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#c57aa5ff b,#b3e755ff c,#ab3980ff d,#95035eff e,#e0b6d1ff f,#ecf3d7ff g,#cdef90ff ``` ```image cddddccaaeef ddddddddddddddddddddddccaaaee dd feeaaccdddddddddddddddddddddddddf edc eeaaaccddddddddc cde addde dd dddd dd eddda dd cdddf adc dddc cde addde dd dddd dd eddda g dd cddd gbb ada fdddc bbb dde addde bbg dd dddd bbf dd eddd fbbf fdd dda gbb ada dd bbb dde cdd bbbdd dde bbad edd bbc cdc abb dde dbbb edd ddbbb ddc dd bbg dd edd bbg add ada fbbf dda ddf gbb fdd dd bbb cdd dd bbb dde edc bbg edd cda bbf ddc dd fbb de dd gbb dd bbb edc bbb cda bbg dd fbbf dd gbb dd gbb edc bbb cde bbg dd bbf dd fbb dd gbb edc bbb cde bbb dd bbg dd fbbf dd fbb adc gbb cde bbb dd bbg dd bbf dd fbbf adc gbb dde bbb dd bbb dd bbg fdd bbf eca fbb gbb bbb bbb bbbbg gbbbbbf gbbbbbf fbbbbbg fbbbbbg gbbbbbg gbbbbbf fbbbbbg fbbbbbf gbbbbb fbbbbbg gbbbbbf gbbbbg fbbbb gf ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#5bf275ff b,#90f18cff c,#c7fac5ff d,#73f24cff e,#b1d8b1ff f,#eef9edff g,#a2d1a2ff ``` ```image f ca fa af ac ae bb ca fa af ac bb ca fa af ac fgggggggggggggggggggggggf ae fgeeeeeeeeeeeeeeeeeeeeegf bb fgeeeeeeeeeeeeeeeeeeeeegf d cafgeeeeeeeeeeeeeeeeeeeeegf d fageeeeeeeeeeeeeeeeeeeeegf fb fageeeeeeeeeeeeeeeeeeeegf ef fgabeeeeeeeeeeeeeeeeeeegf d fgeaaeeeeeeeeeeeeeeeeeegf d fgeebaeeeeeeeeeeeeeeeeegf d fgeeegaeeeeeeeeeeeeeeeegf cc fgeeeeeaeeeeeeeeeeeeeeegf b fgeeeeeeageeeeeeeeeeeeegf ffcebddddddd fgeeeeeeeabeeeeeeeeeeeegf fccbbdddddddbbccf fgeeeeeeeebaeeeeeegbbbddddddddbeccf fgeeegbbdddddddddbbbgeegf ccbbddddddddbbggeeeeeaeeeeeeeeegf fbff fgeeeeeeeeeeeeageeeeeeegf b fgeeeeeeeeeeeeeabeeeeeegf d fgeeeeeeeeeeeeeeaaeeeeegf d fgeeeeeeeeeeeeeeebaeeeegf cc fgeeeeeeeeeeeeeeeegaeeegf d fgeeeeeeeeeeeeeeeeeeaeegf d fgeeeeeeeeeeeeeeeeeeeaggf fb fgeeeeeeeeeeeeeeeeeeeeabf bf fgeeeeeeeeeeeeeeeeeeeeeba d fgeeeeeeeeeeeeeeeeeeeeegca d fgeeeeeeeeeeeeeeeeeeeeegffa cc fgeeeeeeeeeeeeeeeeeeeeegf af d fgggggggggggggggggggggggf ac d fffffffffffffffffffffff bb b ca ef fa d af d ac fe ae a b bb babf d ca cac cc d fa ab b cc af ba a d ac caf a d bae a fb a bf ef d cc d b cc a d a d a b b bf ef d fc d b cc a d a d a b b ef cf d fc d b fb a b a d b d cc d ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#59f373ff b,#91f573ff c,#c2f9c2ff d,#70f348ff e,#a4f7a2ff f,#e3fce4ff g,#79f58fff ``` ```image c ae gag eagf caaf faac fgae gag eagf caaf caac faac fgae eag eagf caaf faac fgae gag eagf fffcceeebbbd caaccceebbbdddddddddddddbb ffccceebbbddddddddddddbbbeeeccfff eeebbbddddddddddddbbbeeeaaef dddddbbbeecccff fgae ff eag eagf caaf faac fgae gag eagf caaf caac faac fgae eag eagf caaf faac fgae ga e ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#58f373ff b,#93f576ff c,#c0f9bdff d,#71f349ff e,#a6f7a2ff f,#ddfcddff g,#7cf591ff ``` ```image f ca fa a af ge eg fa a af ac gg ca fa a af ge eg d fa d a e af ef ac d gg d ca d fa fc a b af fcebbdddddd ge ffcebdddddddbecff eg fceebddddddbbecf fcebbddddddbeecf fcebdddddddbecff a fbf af b ac d gg d ca cc fa d a d af b ge e eg d fa d a fc af b ac d gg b ca ef fa d a d af fe ge a b eg eae d fa faf fc b a ae e cf af ga a d ac caf a d gae a fe g b e d fc d g cc a d a d a b g ef ef d fc d g fc a b a d a b g ef cf d fc d g fe a b a d g d cc d ``` <!-- end of image -->
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I'm ready to tackle this image and find those intersections! I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#a2787cff b,#bcd822ff c,#b1d6b0ff d,#813444ff e,#eff2eaff f,#99c696ff g,#bedb67ff ``` ```image ac da da fffddffffffffffff cccddcccccccccccce cccddcccccccccccce cccddcccccccccccce cccadcccccccccccce cccadcccccccccccce cccadcccccccccccce cccfdcccccccccccce cccfdcccccccccccce ccccdfccccccccccce ccccdfccccccccccce ccccdaccccccccccce cccbdaccccccccccce cccbdaccccccccccce ccccddccccccccccce ccccddgcccccccccce ccccddbcccccccccce ccccddbbccccccccce ccccadgbgcccccccce ccccadcbbcccccccce ccccadccbbccccccce ccccfdccgbccccccce cccccdcccbbcccccce cccccdfcccbgccccce cccccdacccgbccccce cccccdaccccbbcccce cccccdacccccbgccce cccccddcccccbbccce eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee cccccddccccccbbcce fcccccccccccccccccccccccccccccccccf fffffddffffffgbgf fcccccccccccccccccccccccccccccccccf dd bb fcccccccccccccccccccccccccccccccccf ad bb fcccccccccccccccccccccccccccccccccf ad cbe fcccccccccccccccccccccccccccccccccf cd bb fcccccccccccccccccccccccccccccccccf cd bg fcccccccccccccccccccccccccccccccggbbbe ed gbe fcccccccccccccccccccccccggbbbbbbbbbbbe de bb fcccccccccccccccggbbbbbbbbbbbggcccf dc ebg fccccccfggbbbbbbbbbbbgfcccccccccccf dc gbe eegbbbbbbbbbbbggccccccccccccccccccccf da bb ecgbbbbbbbbbbbggccccccccacccccccccccccccccccf da ebg ecgbbbbbbbbbbggee fcccccccccccadddddafccccccccccccccf dd bbbbbbbbbbbbgge fccccccccccdddcfadddddafccccccccccf dd bbbgce fccccccccfddfcccccccaddddddaccccccf dd fcccccccdddcccccccccccccaddddddaccf ad fccccccddaccccccccccccccccccfddddddae ad fccccaddccccccccccccccccccccccccfadddc ad fcccdddcccccccccccccccccccccccccccf e cd ecddceeeeeeeeeeeeeeeeeeeeeeeeeeee ed add ede edda de adde dc dda da eddc da add da edda dd adde dd ddd dd eddc ad add ad edda cd adde cd ddd ed eddc de add dc dda dc cdde da ddd da eddc dd add dd dda dd cdde ad ddd ad eddc ad add cd dda eddde edd ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#995e60ff b,#bdd626ff c,#ceb0b6ff d,#803242ff e,#ece8d4ff f,#b2848aff g,#d8e682ff ``` ```image cdda cdda edda eddd eddd ddde ddde adde addc addc fddc fddf fddf cddf cdda cdda eddd eddd ddd ddde ddde addc addc addc ebaddf bbaddf gbaddf bbdda ebdda gddde edddb edddbg dddbbe dddbbg addbbbe addfbbb addcbbbg fddcgbbbe fddf bbbb fddf ebbbg cddf gbbbe cdda bbbb cdda ebbbg eddd gbbbe eddd bbbb ddd ebbbg ddde gbbbe ddde bbbg addc ebbbe addc gbbb fddc ebbbg fddf gbbbe fddf bbbb cddf ebbbg cdda gbbbe cdda bbbb edda ebbbg eddd gbbbe ``` <!-- end of image --> I can confirm that 1 intersection exists in area A. Alright, let's concentrate on the next area. This is a magnified view of the region B. <!-- image --> ```palette Key,Color ,#fefefeff a,#a06571ff b,#bcd820ff c,#c39ea6ff d,#813343ff e,#e9e4d1ff f,#cde159ff g,#deeb92ff ``` ```image eeggf eeggffbbbbbbb egggffbbbbbbbbbbbbbbb eeggffbbbbbbbbbbbbbbbbbbbbffgg eeggffbbbbbbbbbbbbbbbbbbbbffggee eeggffbbbbbbbbbbbbbbbbbbbbffggee egggffbbbbbbbbbbbbbbbbbbbbffggee eeggffbbbbbbbbbbbbbbbbbbbbffggge ggffbbbbbbbbbbbbbbbbbbbbffggee bbbbbbbbbbbbbbbbffggee bbbbbbbfffggee ecce fggge cdddddacc cddddddddddaace eaddddadddddddddddace cddddae ecadddddddddddace eaddddc eccaddddddddddace eddddde ecaddddddddddacce cdddda ecadddddddddddace eaddddc ecadddddddddddace cddddae ecaaddddddddddace addddc ccaddddddddd eddddde ecaddddd cdddda ecad eaddddc cddddae ``` <!-- end of image --> No intersection in area B, but I'll keep looking. Answer: A: 1; B: 0; 1 + 0 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#995b68ff b,#bdd824ff c,#d1b5bbff d,#803243ff e,#ebe8d4ff f,#b48791ff g,#d7e87dff ``` ```image ac df df da dd dd ad ad fd cd cd ed de dc dc bdf bda dd ddg ddb adbb fdgbe fd bb cd bb ed gbe d bb de bg dc gb df bb df ebg da bb dd bb dd ebg ad bb ad bb fd gbe cd bb cd bb egbbbe ed gbe eegbbbbbbbbbbbe de bb eggbbbbbbbbbbbge dc bg eggbbbbbbbbbbgge dc gb egbbbbbbbbbbbgge df bb eegbbbbbbbbbbbgee ef da ebg eggbbbbbbbbbbbge fdddddfe da bbbbbbbbbbbbgge dda efdddddae dd bbbgge cdde fdddddac dd add cddddddc ad eddf cadddddf fd fdd eadddc fd dda e cd cddc ed add d ddf de fdd dc dda df cddc df add da ddf dd fdde dd dda ad eddc ad add fd ddf cd fdde cd dda ed eddc de add dc ddf dc cdde df dda da eddc da add dd ddf dd cdde ad ddd fd eddc fd add cd dda eddde dd ``` <!-- end of image -->
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I'm analyzing this image to identify any points where lines intersect. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#6d6577ff b,#b1d7b1ff c,#3a8290ff d,#eef4efff e,#8a9291ff f,#96c699ff g,#64a09cff ``` ```image bffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffb fbbbbbbbbbbbbbbfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbbbaafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbbfafaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbbaebbaafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbbabbbbfaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbfabbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbaebbbbbbbeaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbbbabbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ccgbd fbbbbbbbbbbbfabbbbbbbbbbbeaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dbgccccgbd fbbbbbbbbbbbaebbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf dfcccccgfbbbbbbbbabbbbbbbbbbbbbbbeafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf ffgcccccgfbfabbbbbbbbbbbbbbbbfaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbfgccaccgfbbbbbbbbbbbbbbbaafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbbabgccccccgfbbbbbbbbbbfaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbeabbbbbbfgcccccggbbbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbafbbbbbbbbbbbbfgcccccgbbbeaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbbabbbbbbbbbbbbbbbbbbbfgcfbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbeabbbbbbbbbbbbbbbbbbbbbbcgbbbeaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbafbbbbbbbbbbbbbbbbbbbbbbbccbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbccbbbbeaebbbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbeabbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbaabbbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbafbbbbbbbbbbbbbbbbbbbbbbbbbbbgcfbbbbaafbbbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcfbbbbfaabbbbbbbbbbbbbbbbbbbbbbbf fbbbbbbeabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcgbbbbbaafbbbbbbbbbbbbbbbbbbbbbf fbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbfaebbbbbbbbbbbbbbbbbbbbf fbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbaabbbbbbbbbbbbbbbbbbbf fbbbbbeebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcbbbbbbeaebbbbbbbbbbbbbbbbbf fbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcfbbbbbbaabbbbbbbbbbbbbbbbf fbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcgbbbbbbeaebbbbbbbbbbbbbbf fbbbbaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcgbbbbbbbaabbbbbbbbbbbbbf fbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbbaafbbbbbbbbbbbf fbbbfabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbbfaabbbbbbbbbbf fbbbaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcbbbbbbbbaafbbbbbbbbf fbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcfbbbbbbbfaebbbbbbbf fbbfabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcgbbbbbbbbabbbbbbbf fbbaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcgbbbbbbbaebbbbbbf fbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbbabbbbbbf fbfabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbeabbbbbf fbaebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcbbbbbbabbbbbf fbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcfbbbbeabbbbf feabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcgbbbbafbbbf faebbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbcgbbbfabbbf fabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbabbbf eabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccbbbbbbf afbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbgcbbbbbf abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcfbbbf fabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbfcbbbf afbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf afbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf eefbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf adfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbf a dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd ee ad da ee ad da ee a da af a ba ab a ba ab a ba ab a ba ad a fa ad a ee ad ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#6c6377ff b,#a4afb9ff c,#398291ff d,#e3e6e9ff e,#8b8594ff f,#c4cdd3ff g,#69a0abff ``` ```image daae baaaf eaeaab aafdaaad ab deaed daf baab ba aaad dad faaed ba eaaa aa faab faa deaaf aab deaad aad baab ae faae ab eaaf ccccgfd ee daaaf gcccccccgbfd ab faaa fbgccccccccgbf fad deaaf dfgccccaaccgfd eaad feaacccccccbfd baab eaefbgccccccccgbf faaed daaf dfbgcccccccggbd baaa eae fbgccccccccbfd deaaf aaf ffbgcccccccgbd aaae aa dfbgcccccc deaaf ae dfgccf baab ba dccg baab eb gccg deaed daf bccd aaab aa fccf deaaf daa cccb faae baa dgcc eaaf aab gcgd baab ae ccc baaa ab fccf deaed fad dccb baab ee dccg aaae fad bccd faaed ea fccf daaa aa fccf faae eae dgcg aaab daaf gcgd deaad faa cccd baab eae fccc faaed aa dccb faaed ae dccg deaaf daf gccg aaad ba bccd deaaf daf dccb eaae ba gcc baab aa gcg deaed baa cccd faab aab fccc dead faad dccb dab bae dgcb aad aad bccg faaf ae bccd eae ab fccf faa fad dccb ea ab gcg bad fad bcgd dab ea cccf aad faa dccb faaf eae dgcg eae aaf ccg faa aa bccd ea daf fccf ba cccb ee dgcc daf gcgd ea cccf aa fccc aa dccd ad a b d ``` <!-- end of image --> Yes! I knew it! There's 1 intersection right here in area A! Answer: A: 1; 1 = 1 I've found a single intersection point in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#6d6478ff b,#a8b3bdff c,#3b8392ff d,#e3e7eaff e,#8f8897ff f,#c8ced5ff g,#6da2adff ``` ```image d aaf dadaa ee ead a fae da aad ab bae a aa cccbd fa bab dbcccccgbd ab aa dbcccccgf a eaf fgcccccgf fa daa fgccaccbd ead adbgccccgbd fae ba dbcccccgbd aad af fgcccccgd fae a fgcf aa ba dcg bab af cc aa a cc eaf ba gc daa ad bcd eaf a fcf dae ee dcg aad ad cc fae a cc aa ee gc bab a bcd aa da fcb eab ee dcg daa a cc eaf da cc daa ab gc aad a bcd fab fa dcb da ab cg ae a cc a fa cc ea ab gc ad a bcf ba fa dcb af af cg fa a cc a ba cc af gcd a fcf ba dcd ad a be ad a ee ad da ee a da ee a da ab a fa ab a fa ab a ba af a ba af a ba ad a ee ad ``` <!-- 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. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#d937c5ff b,#c2d857ff c,#f3c2edff d,#da7acdff e,#e2ecafff f,#b1d7b1ff g,#98cb94ff ``` ```image c ad aa caa aaa aaa aca daca ad a ac a ca a da ac ad ac a ad ca ad aa ad ac aa a da da da aa ca ac ca ca ca da a ad a ac a ca ac aa ac ad ad a ad fgggggggggggggdagggggggfad gfffffffffffffaafffffffgaa gffffffggfffffadfffffffgda gbbbbbbbbfffffaffffffffgda eebbbbbbbbbffffbffffdaffffffffgca eebbbbbbbbee gfffffffbbfffaaffffffffgca eebbbbbbbbee gfffffffgbfffafffffffffgca ebbbbbbbbbe gffffffffbfffafffffffffg a ebbbbbbbbbe gffffffffbbfaafffffffffg a eebbbbbbbbee gffffffffgbfadfffffffffg a eebbbbbbbbee gfffffffffbfaffffffffffg fffbbbbbbbbbbe gfffffffffbbaffffffffffg fffbbbgfffffg gfffffffffgbaffffffffffg ffffffffffffg gffffffffffbdffffffffffg ffffffffffffg gffffffffffbbffffffffffg ffffffffffffg gfffffffffddbffffffffffg ffffffffffffg gfffffffffaabffffffffffg ffffffffffffg gfffffffffafbbfffffffffg fffadfffffffg gfffffffffafbbfffffffffg fffdafffffffg gffffffffaaffbfffffffffg ffffaaffffffg gfffffffaafffbbffffffffg fffffaafffffg gfffffdaaffffbbffffffffg ffffffaaffffg gffffdadffffffbbfffffffg fffffffadfffg gfffaadfffffffgbfffffffg fffffffdafffg gffaaffffffffffbbffffffg ffffffffdaffg gfaaffffffffffffbbfffffg fffffffffaafg daafffffffffffffgbgffffg ffffffffffaag dad bb gggggggggggad aac bb cac aa eb da caa bb aa daa bb aa dad be aa aac bb cad aa bb dac caa be aa dad eb aa aac bb aa aac be ad aa cac caa da dad aa aac aa aa ad aa cac caa da dad aa aac aa aa aaaa caa ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d934c5ff b,#c2d853ff c,#eb98e1ff d,#e161d2ff e,#eaf1c4ff f,#d7e690ff g,#f5cbf0ff ``` ```image eeffbbbbbbbb effbbbbbbbbbbbbbbb fbbbbbbbbbbbffee ebbbbffee ee dd daac gaaag caaag daad daad gaaac gaaac caaag daaa daad aaac gaaac caaag caaag daad daad gaaac gaaag caaa ``` <!-- end of image --> There is no intersection present within area A. Now, let's dive into another area. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#d935c4ff b,#c2d854ff c,#ea93deff d,#e066cdff e,#e9f1c2ff f,#d6e28cff g,#f4c7eeff ``` ```image gaad caac daag aaa gaad eeefe caag eeffbbbbbbbe daa eeffbbbbbbbbbbbbbbf aad bbbbbbbbbbbbbffebbb gaac bbbbbbffee fbbe caag fee ebbf aaa bbb gaad fbbe caac ebbf daag bbb aaa fbbe gaad ebbf caac bbb daag fbbe aaa ebbf gaac bbb caag fbbedaa ebbfaad bbbaac fbbaag ebbda bbbd bbbc fbbf abbf gabbb cadbbe daabbf aadbbb gaacfbbe caagebbf aaa bbb gaad fbbe caac ebbf caaag bbb daaad fbbe daaac ebbf gaaaag bbb gaaaag fbbe caaad ebbb daaad bbbf daaac ebbbe gaaaag ebbb gaaaag fbbf caaad bbbe daaac ebbb gdaaac fbbf gaaaag bbbe ``` <!-- end of image --> Area B contains 1 intersection. Answer: A: 0; B: 1; 0 + 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d935c5ff b,#c2d854ff c,#eda6e4ff d,#e26dd3ff e,#e9f1c3ff f,#d5e48aff g,#f7d6f3ff ``` ```image cg ad aa caa aaa aaa aca daga ad a ag a ga a da ag ad ac a ac ca ad aa ad ac aa a da ca da aa ca ag ca ga ga da a ad a ag a ga ag aa ac ac ac a ad ca ad aa aa eee ac da efbbbbbbb a da efbbbbbbbbfe be da ca efbbbbbbbbfe bb ad ga efbbbbbbbbfe eb ag ga eefbbbbbbbfe be ga a efbbbbbbbfee bb da a efbbbbbbbbfe eb ad ag efbbbbbbbbfe bea g fbbbbbbbbfe bba bbfe eba bc bf cdb adb agbf ac ga fb cag aa b da gaa bf aa caa fb aa dad bf gad aac eb cag aa bb da gaa bf aa caa eb aa dad bb ad aag bf gac aa ebe dag gaa bb aa cad bb aa dac ebe ad aag fb gac aa bb cag gaa be da dad fb aa aac bb aa aag be gad aa cag caa da dad aa aac aa aag ad gaa gac caa dag dad aa aag aa aa aaaa gad ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#9f6ad0ff b,#820513ff c,#b88283ff d,#d5bbe5ff e,#902732ff f,#b1d6b1ff g,#95c995ff ``` ```image d aa aa aa ad ad da da aa aa ad c ad cbe da cbe da cbe aa cbe aa cbe aa cbe ad cbe ad cbe da cbe gffffffffffffffffffffffg da cbe gffffffffffffffffffffffgaa cbe gffffffffffffffffffffffaa cbe gfffffffffffffffffffffaa cbe gffffffffffffffffffffafg cbe gfffffffffffffffffffaffg cbegffffffffffffffffffafffg cbefffffffffffffffaaffffg gcbeffffffffffffaafffffg gffcbefffffffffaaffffffg gffffcbeffffffaafffffffg gffffffcbefffafffffffffg gffffffffcbeaffffffffffg gfffffffffaabefffffffffg gffffffffaaffcbefffffffg gfffffffaafffffcbefffffg gffffffaaffffffffcbefffg gfffffaffffffffffffcbefg gffffaaffffffffffffffcbe a gffffafffffffffffffffffcbe da gffffafffffffffffffffffg cbe a gfffaffffffffffffffffffg cb da gfffaffffffffffffffffffg bf a gffafffffffffffffffffffg b ad gffafffffffffffffffffffg ec a gfaffffffffffffffffffffg b ad fgaggggggggggggggggggggf ce a dd b a a ce da da b a a db da da bd a a b ad a ec a ad b ad a ec a ad b a a ce da dd b a a db da da bd a a db ad da bc a a b ad a ec a ad b a a ce da ad b a a ce da da b a a db ad da bd a a b ad da ec a a b a a ce da ad b a a db dad b a ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9b62ceff b,#810412ff c,#cb979dff d,#cbaee6ff e,#8f212eff f,#e4d5f2ff g,#b083d9ff ``` ```image f fa daa daad gaad gaaf faaaf faag c daag bec daad ebbec gaad cebbec gaaf cebbec fgaaf cebbec faagf cebbec faag cebbec daag cebbec daad cebbec gaad cebbec gaaf cebbec faaaf cebbeaag ceaaac daaabbec gaad cebbec gaaf cebbec fgaaf cebbec faagf cebbec faag cebbec daag cebbec daad cebbec daad cebbec aaf cebbec dag cebb aaf ce dag gad faa gad faa gad aaf dag aaf dag aaf faa gad ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#9c63cfff b,#820513ff c,#c48990ff d,#cfb2e0ff e,#932835ff f,#e8dbf1ff g,#b388daff ``` ```image d ga aa ag ad faf fa da ga ag ag c ad cbe faf cbe da cbe ga cbe aa cbe ag cbe ad cbe faf cbe fa cbe da cbe ga cbe ag cbe ag cbe ad cbe faf cbe da cbe ga cbe aa cbe ag cbe ad cbe faf cbeaf dabe ga cbe aa cbe ag cbe ad cbe dg cbe a a cbe fa fa cbe a a cb dg fa bc a af b gd a ec a gd b af a ce fa gg b a a ce fa dg bf a a db dg fa bd a af fb gd fa ec a af b af a ec fa gd b a a ce fa gg b a a db dg dg bf a a fb gd fa bc a af b af a ec fa af b a a ce fa gd b a a ce dg dg bf a a db gd da bd a a fb af fa ec fa af b a a ce fa af b a a db dad b a ``` <!-- 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. Let's take a closer look at what's happening inside these zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#0d8ebdff b,#c5a0e4ff c,#47a7c2ff d,#d2cbedff e,#b1d7b1ff f,#94c99aff g,#eff4f2ff ``` ```image c caa caaag aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa gffffffffffffffffffffffffffffffffffffffffffe aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef aaaa geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefgaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaac geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaac geeeeeeeeeeeeeeeeeeeaaaceeeeeeeeeeeeeeeefaaac geeeeeeeeeeeeeeeeeeeaaaaaaaceeeeeeeeeeefaaac geeeeeeeeeeeeeeeeeefaaaaaaaaaaacfeeeeefaaacf geeeeeeeeeeeeeeeeeefaaeecaaaaaaaaaacffaaacef g geeeeeeeeeeeeeeeeeecaaeeeeeecacbbaaaaaaaceef bbb geeeeeeeeeeeeeeeeeecaaeeeeeeebbbbbaaaaaceeef bbbd geeeeeeeeeeeeeeeeeeaaaeeeeeebbbbbbbefcfeeeef bbbg geeeeeeeeeeeeeeeeeeaaaeeeebbbbbebbbbeeeeeeef gbbb geeeeeeeeeeeeeeeeeeaaaeeebbbbbeeebbbbeeeeeef bbbd geeeeeeeeeeeeeeeeeeaaaebbbbbeeeeeebbbbeeeeef bbbg geeeeeeeeeeeeeeeeeeaacbbbbbeeeeeeeebbbbeeeef gbbb geeeeeeeeeeeeeeeeeeabbbbbeeeeeeeeeeebbbbeeef dbbb geeeeeeeeeeeeeeeeebbbbbeeeeeeeeeeeeeebbbbeef bbbg geeeeeeeeeeeeeeeebbbbbeeeeeeeeeeeeeeeebbbbef gbbb geeeeeeeeeeeeeebbbbbceeeeeeeeeeeeeeeeeebbbbf dbbb geeeeeeeeeeeeebbbbbaaeeeeeeeeeeeeeeeeeeebbbb bbbg geeeeeeeeeeebbbbbecaaeeeeeeeeeeeeeeeeeeeebbbd bbb geeeeeeeeeebbbbbeeaaaeeeeeeeeeeeeeeeeeeeeebbbd dbbb geeeeeeeebbbbbeeeeaaaeeeeeeeeeeeeeeeeeeeeeebbbd bbbg geeeeeeebbbbbeeeeeaaaeeeeeeeeeeeeeeeeeeeeeefbbbg bbb geeeeebbbbbeeeeeeeaaaeeeeeeeeeeeeeeeeeeeeeefgbbbg dbbb geeeebbbbbeeeeeeeeaaaeeeeeeeeeeeeeeeeeeeeeef dbbbg bbbggeebbbbbeeeeeeeeefaaceeeeeeeeeeeeeeeeeeeeeef dbbbg bbbgebbbbbeeeeeeeeefaaafeeeeeeeeeeeeeeeeeeeeeef dbbb dbbbbbbbeeeeeeeeeeeaaaceeeeeeeeeeeeeeeeeeeeeeef dbbb bbbbbbeeeeeeeeeeeaaaceeeeeeeeeeeeeeeeeeeeeeeef dbbb bbbeeeeeeeeeeeeaaaceeeeeeeeeeeeeeeeeeeeeeeeef bbbb deeeeeeeeeeeeaaaceeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeeeeeeaaaceeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbb geeeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbd geeaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbd geaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef bbbd gaaaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gbbbd caaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gbbbg caaaeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeef gbd caaagggggggggggggggggggggggggggggggggggggggggg g caaag caaag caaag caaag eaaag eaaad daaad daaad daaad daaae gaaae gaaac gaaac aaac gac g ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#0d8ebdff b,#c69fe5ff c,#75bad8ff d,#b5dceaff e,#3fa3caff f,#d8beedff g,#e6e8f6ff ``` ```image g ge gea geaa dccd geaaa daaaaaecdg gaaaaa eaaaaaaaaaecdg gaaaaaa aaaaaaaaaaaaaaecdg gaaaaaaa gaaaaaaaaaaaaaaaaaaacdg gaaaaaaac daaaaaaaaaaaaaaaaaaaaaaaecd daaaaaaac daaaaaceaaaaaaaaaaaaaaaaaaaaecd daaaaaaac daaaaag gdceaaaaaaaaaaaaaaaaaaaaecd daaaaaaac caaaaa dceaaaaaaaaeceaaaaaaaaaaaaaaaac caaaaa dceaaebbbbcaaaaaaaaaaaaaac caaaae fbbbbbbcaaaaaaaaaaaac eaaaae gbbbbbbbbbcaaaaaaaaaac eaaaac fbbbbbbbbbbbbceaaaaaac aaaaac gbbbbbbbbbbbbbbg gdceed aaaaac fbbbbbbbbbbbbbbbbg gaaaaad gbbbbbbbbbf gbbbbbbbg gaaaaad fbbbbbbbbbg gbbbbbbbg daaaaag gbbbbbbbbbf gbbbbbbbg daaaaag fbbbbbbbbbg gbbbbbbbg caaaaa gbbbbbbbbbf gbbbbbbbg caaaaa fbbbbbbbbbg gbbbbbbbg caaaacbbbbbbbbbf gbbbbbbbg eaaabbbbbbbbbfg fbbbbbbb eaebbbbbbbbbf fbbbbbbb ebbbbbbbbbfg fbbbbbbb fbbbbbbbbbg fbbbbbbb gfbbbbbbbbf fbbbbbbf fbbbbbbbbbg fbbbbbbf gbbbbbbbbbcd fbbbbbbf fbbbbbbbbbeag fbbbbbbf gbbbbbbbbbcaaa fbbbbbbf fbbbbbbbbbeaaaa fbbbbbb gbbbbbbbbbfcaaaae bbbbbb fbbbbbbbbbg eaaaae bbbbb gbbbbbbbbbf eaaaac bbbb fbbbbbbbbbg aaaaac bbb gbbbbbbbbbf aaaaac gbb fbbbbbbbbbg gaaaaad gb gbbbbbbbbbf gaaaaad g fbbbbbbbbbg daaaaad gbbbbbbbbbf daaaaag fbbbbbbbbbg daaaaa gbbbbbbbbbf caaaaa gfbbbbbbbbfg caaaae fbbbbbbbbbf eaaaae gfbbbbbbbbfg gaaaaae fbbbbbbbbbg gaaaaaac gbbbbbbbbbf gaaaaaaad fbbbbbbbbbg gaaaaaaac bbbbbbbbf geaaaaaac bbbbbbbg geaaaaaac bbbbbf geaaaaaac bbbbg geaaaaaac bbf geaaaaaae bg eaaaaaae eaaaaaae eaaaaaae eaaaaaae eaaaaaaeg caaaaaaeg caaaaaaeg caaaaaaeg caaaaaaeg caaaaaaag caaaaaaag caaaaaaag caaaaaaad daaaaaaad daaaaaaad daaaaaaad daaaaaaad daaaaaaad daaaaaaad daaaaaaad daaaaaaad gaaaaaaac gaaaaaaac gaaaaaaac gaaaaaaac geaaaaaac eaaaaaac aaaaaac aaaaac aaaae ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0d8ebdff b,#c69fe5ff c,#76bdd9ff d,#bde0ecff e,#40a4caff f,#d8bfedff g,#ececf8ff ``` ```image e eaa eaaag aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa aaaa gaaae gaaae gaaae gaaae gaaae aaacg gaaae aaaaaaacg daaae daaaaaaaaaaaed daaac daaggcaaaaaaaaaaeddaaac g caa caebbaaaaaaac bbb eaa bbbbbaaaaac bbbf aaa gbbbbbbb ded bbbg aaa bbbbb bbbb gbbb aaa gbbbbf bbbb fbbf aaa bbbbb bbbb bbbg aacbbbbf bbbb gbbb abbbbb bbbb fbbf fbbbbf bbbb bbbg bbbbb bbbf bbb fbbbbeg bbbf fbbb bbbbbaa bbbf bbbg fbbbbgeaa bbbf bbb bbbbb aaa gbbbf fbbb fbbbbg aaa gbbbg bbbg gbbbbb aaa gbbbg bbb fbbbbg aaa gbbbg fbbb gbbbbf aae gbbbg bbbg fbbbbg daae fbbbg bbb gbbbbf gaaad fbbb fbbbbbbbg gaaac fbbb bbbbbf gaaac fbbb bbb gaaae fbbb g aaae bbbb aaae bbbb aaae bbbb aaae bbbb aaaa bbbb aaaa bbbb aaaa bbbb aaaa bbbb aaaa bbbb aaaa bbbf aaaa bbbf aaaa bbbf eaaa gbbbf eaaa gbbbg eaaa gbf eaaa g eaaag caaag caaag caaag caaad caaad daaad daaad daaad daaac gaaac gaaac gaaac aaae gae g ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. These zones are intriguing. I bet there's something interesting happening within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#92ca94ff b,#dbf1c5ff c,#4aae53ff d,#eef7e8ff e,#c7ec8eff f,#b1d8b1ff g,#72bf78ff ``` ```image d eeeed db beeeb bd deeebd e dbeeeb e beeeb e deeebd e dbeeeb bb beeebd e dbeeed e beeeb e beeebd e dbeeed db beeeb bd deeebd e dbeee e e db bd e e e e bb e e e e db bd e e e db c bd bacd e gd cf e c ca e c gg e ba fc bb gd bc e c cd e c cf e ba ca e gd gg db c fc bd c bc e ba cd dddddddddedddddddd gd cf fffffffffeffffffffa c ca fffffffffeffffffffa c gg ffffffffefffffffffa ba fc ffffffffefffffffffa gd bc ffffffffefffffffffa c dcd ffffffffefffffffffa c cf ffffffffefffffffffa ba ca ffffffffffffffffffa gd gg fffffffeffffffffffa c fc fffffffeffffffffffa c bc fffffffeffffffffffa da dcd fffffffeffffffffffa gd cf fffcgffeffffffffffa c ca ffffgcefffffffffffa c gg ffffffeaffffffffffa dg fc ffffffecgfffffffffa ab bc ffffffefgcffffffffa c dcd ffffffefffcaffffffa c cf fffffefffffccfffffa dg ca fffffeffffffacffffa ab gg fffffeffffffffcaffa c fc fffffefffffffffccfa c bc fffffeffffffffffaca dg dcd ffffffffffffffffffcf ab cf ffffefffffffffffffagc c ca ffffefffffffffffffa bcc gg ffffefffffffffffffa b fc ffffefffffffffffffa bc ffffefffffffffffffa dc aaaeaaaaaaaaaaaaaaf e ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#8dcc8fff b,#d9f2b2ff c,#4aae53ff d,#e8f6dbff e,#c6ed8aff f,#b6debaff g,#69bb70ff ``` ```image bed be ee eb deb bed be ee eb deb ded bed ee eb deb ded bed be ee eb deb bed be ee af eb dcca deb dgcgd ded accfbed fccee dgeed deacf debccgd beddgccf be fcca ee dgcgd eb accf deb fcca bed dgcgd be accf ee fcca eb dgcgd deb accf ded fcca bed dgcgd ee accf eb fcca deb dgc ded a bed be ee eb deb bed be ee eb deb ded ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#83c78aff b,#d8f2b0ff c,#47ad50ff d,#e6f5dcff e,#c7ed8aff f,#b7debbff g,#60b767ff ``` ```image eeebd b beeeb bd dbeebd e dbeeed e deeeb e dbeebd b beeed dd deeeb b dbeebd e beeed e deeebd e dbeebd db beeeb bd dbeebd e dbeee e e b bd e e e b dd b e e e db bd e e e b c bd facd e g cf e c ga e c ag b fa fc dd g dc b c cd e c cf e fa ga e gd ag db c fc bd c dc e da cd e ad cf e c ga b c ag bd da fc e ad dc e c cd e c cf b da ga dd ad ag b c fc e c dc e da cd e ad cf ca db c ga acbd c ag ded da fc ega ad dc e fc c cd b cf c cf bd gg da ga e fc ad ag e cf c fc e gg c dc b fcd da cd dd cf ad cf b ag c ga e dcc ag e f fc e dc db c bd e ``` <!-- 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,#b61483ff b,#cd7b9eff c,#c31048ff d,#e9b3cdff e,#c34984ff f,#99c697ff g,#b1d7b1ff ``` ```image fffffffffffffffffffffffg gggggggggggggggggggggggf ggabgggggggggggggggggggf ggaagggggggggggggggggggf ggeaaggggggggggggggggggf gggaafgggggggggggggggggf ggggaagggggggggggggggggf ggggeaeggggggggggggggggf gggggaaggggggggggggggggf ggggggaagggggggggggggggf ggggggeaeggggggggggggggf gggggggaaggggggggggggggf gggggggfaagggggggggggggf ggggggggaaeggggggggggggf gggggggggaabeebbfggggggf gggggggggbaccccccccccegf ggggggggggaccbbeeccccccf ggggggggggecaggggggggcccb ggggggggggccaaggggggggbccc ggggggggggccaabggggggggfcccd gggggggggbcbgaaggggggggf bccc gggggggggccggbaagggggggf cccd gggggggggccgggaafggggggf ecce ggggggggfceggggaaggggggf ccc ggggggggccfggggeaegggggf ecce ggggggggccggggggaafggggf dccc ggggggggccgggggggaaggggf cccb gggggggecbgggggggeaegggf dccc gggggggccgggggggggaagggf cccd gggggggccgggggggggfaaggf bccc ggggggfceggggggggggaaegf cccd ggggggccfgggggggggggaagf ecce ggggggccggggggggggggbaaf ccc ffffffccfffffffffffffaab ecce bcd aa dccc cc daa cccb cc aad dccc dce aa cccd cc baa bccc cc aad cccd cc aa ecce bcd bae ccc cc aad ecce cc aae dccc dce aaa cccb cc eaab dccc cc daaa cccd cc aaad bccc bd baab cccd aaa bcce aaad ccc daae ecce aaa dccc eaab cccb daaa dccc aaad cccd baae bccc aaa cccd eaad bcb daaa aaa eaab daaa aaad baae aaa eaab daaa aaad baab aaa aaad daae aaa eaab daaa aaad baae aaa eaad daaa aaa e ``` <!-- end of image --> I wonder what we'll find inside area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#b61383ff b,#d674abff c,#c30f48ff d,#f3d8e7ff e,#c03795ff f,#e7abcaff g,#d25079ff ``` ```image fb dbaaf baaaad eaaab daaaaf baaae eaaab faaaad baaae eaaab faaaad baaae daaaab faaaad eaaae daaaaf faaaad eaaae daaaaf baaaad eaaab daaaaf baaae eaaab faaaad baaaefggbbbfffdd eaaacccccccccccccccgggbf faacccccccccccccccccccccg bacccccccccccccccccccccccf daccccdfffbbggggcccccccccc gcccad ddgcccc gcccae fccc ccccaaf dgc fccccaaad f gccceaaae ccccdaaaaf dcccg baaaad bcccb eaaab gcccd daaaaf dcccc baaae fcccb eaaab gcccf faaaaf cccc baaae dcccg eaaab bcccb faaaad gcccd baaae dcccc daaaab fcccb faaaad gcccf eaaae cccc daaaaf fcccg faaaad bcccb eaaae gcccd daaaaf dcccc baaaad fcccb eaaab gcccf daaaaf cccc baaae fcccg eaaab bcccf faaaaf gcccd baaae dcccg eaaab fcccb faaaa gcccf baaa ``` <!-- end of image --> The close-up clearly shows 1 intersection point in area A. Answer: A: 1; 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#b61584ff b,#da7ba8ff c,#c30e47ff d,#f3d7e5ff e,#cb4f94ff f,#e6a8c6ff g,#cb3363ff ``` ```image daf aa baa aad aa eae aad daa eae aad daa aab aafebffd facccccccccce acgffbegccccc gca cccb ccaa fccc ccaaf cccf bcb aa bccg cc baa cccd cc aad eccg dcg aa dcccd gcd eae gcce cc aad dccc cc daa gccb bcb eae fccc cc aad cccf cc daa bccg fce aab cccd gcd aa eccg cc faa dcccd cc aab gcce bcf aa dccc cc faa gccb cc aaf fccc fce aa cccf gcd baa bccg cc aaf cccd cc aa eccg bcf eae dcccd cc aaf gcce cc daae dccc fce aaa gccb gcd eaab fccc cc faaa cccf cg aaad bccc bf baae cccf daaa eccg aaaf dcccd faae gcce aaad dccc eaab gccb daaa fccc aaad cccf baae bccc daaa cccf aaaf bcb faaa d aaad eaab daaa aaaf baae aaa eaab faaa aaad baae daaa aaaf faae aaad eaab daaa aaad baae daaa aaaf faaa aaa e ``` <!-- end of image -->
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The hunt for intersections begins! Let's analyze this image closely. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#d64dceff b,#e289ddff c,#b540bfff d,#ba85bdff e,#eec5edff f,#b1d7b1ff g,#96c996ff ``` ```image aa aaab baaaa aaaaa aaaeaa aaab aab ffffffffffffffg eaaa aaa ffffffffffffffg aaa aaa ffffffffffffffg aaa eaa ffffffffffffffg aaab aae ffffffffffffffg eaaa aaa ffffffffffffffg aaa aaa ffdccdffffffffg aaae baa ffccccccffffffg baab aae fffdccccccdfffg eaaa aab ffffffcccccccdg aaa aaa ffffffffdccccccce aaae baa fffffffffffdcccccca baab ffffffffffffffcccccccb eaaa fffaffffffffffg eccccccce aaa ffaaafffffffffg bccccccce fgggggggggggggggggaaadgf ffdaaaffffffffg dccccccd gffffffffffffffffdaaaffg fffaaadfffffffg ecccccccb gffffffffffffffffaaafffg aaae eccccccce gfffffffffffffffaaaffffg aaa bcccccca gffffffffffffffaaadffffg baaa accccccb gfffffffffffffdaaafffffg aaae eccccccce gfffffffffffffaaaffffffg aaa bcccccccffffffffffffaaafffffffg eaaa dccccccdfffffffffaaafffffffg baab ecccccccdfffffaaaffffffffg aaae gdcccccccdfdaadffffffffg aaa gfffdccccccaaafffffffffg eaaa gffffffcccaaacdffffffffg aaab gffffffffdaaaccccdfffffg aaa gffffffffaaadcccccccdffg aaa gfffffffdaaafffdcccccccd baab gfffffffaaafffffffdcccccccd aaae gffffffdaadffffffffffdcccccccae aaa gffffffaaafffffffffffffgbcccccccce eaaa gfffffaaaffffffffffffffg ecccccccce baab gfffffaaaffffffffffffffg ecccccccc aaa gffffaaafffffffffffffffg eccccc aaa gfffdaadfffffffffffffffg ecd baaa gfffaaaffffffffffffffffg aaae gffaaafffffffffffffffffg aaa fggaaagggggggggggggggggf eaaa aaa baab eaab aaae aaa aaa baae eaaa aaa aaab aaa aaa eaab aaa aaa baa baae baa aaa eaa aaa eaa eaaa eaa aaa aa baab aae aaa aae aaae aab aaa aab aaa aab eaab aaa aaa aaa baae aaa aaa aaa aaa aaa eaab baa aaa baa baae baa aaa eaa aaa eaaeaaa eaaaaa aaaab aaaa aaae aaa ba ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#d74dceff b,#db9adeff c,#b53fbfff d,#be59c7ff e,#f4e1f5ff f,#e9bfeaff g,#ce75d2ff ``` ```image e cdbe fccccdbe gcccccccgf ecccccccccccbe fcccccccccccccdbe fgcccccccccccccgf ebdcccccccccccccgf ebdccccccccccccdbe fgccccccccccccc fgcccccccccc ebdccccccc ebccccc fgcc eb f egae faaaa baaaaab eaaaaaaf faaaaaae baaaaag ``` <!-- end of image --> Area A is clear of intersections, but the search continues. Now, let's scrutinize the next spot. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#d64cceff b,#e6a6e4ff c,#b540bfff d,#da89daff e,#f7e5f7ff f,#edc7edff g,#d668d2ff ``` ```image faaaaaae eaaaaaaf gaaaaad daaaaag faaaaaae eaaaaaab gaaaaad baaaaage faaaaaaf eaaaaaab gaaaaad baaaaage eaaaaaaf daaaaab f faaaaag ccde gaaaaae ccccgbe baaaaad cccccccgf eaaaaaae ccccccccccdf daaaaab cccccccccccccbe faaaaag fdcccccccccccccgbe gaaaaaf ebgcccccccccccccdf baaaaad edccccccccccccccdfaaaaaae fdccccccccccccaaaaaab fgcccccccccaaaaaae ebgcccccaaaaaaccdf fdcccaaaaaacccccdf faaaaaacccccccccdf baaaaaaccccccccccccdf eaaaaaadcccccccccccccccdf daaaaaf fdcccccccccccccccgbe faaaaag fdccccccccccccccc gaaaaae fdcccccccccccc baaaaad fdccccccccc eaaaaaae fdcccccc daaaaab ebgcc faaaaag eb gaaaaaf baaaaad eaaaaaae daaaaab eaaaaag gaaaaaf faaaaad gaaaaae baaaaab eaaaaag daaaaaf faaaaag gaaaaae baaaaad ``` <!-- end of image --> Aha! I've found 1 intersection inside area B! Answer: A: 0; B: 1; 0 + 1 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d74cceff b,#e4a1e2ff c,#b540bfff d,#dd86dbff e,#f6e0f5ff f,#edbdebff g,#d568d2ff ``` ```image aa aaad baaaa eaaaaa aaafaa gaab aab baaa aaa aaa aaa aaae baa gaad aaf faaa aag aaa aaa fccb aaae baa cccccce gaad aaf gccccccg faaa aag ecccccccb aaa aaa fcccccccf aaaf daa dccccccge daag egccccccd eaaa ge fcccccccb aaa aaa bccccccce aaaf faaa gccccccg daag gaab ecccccccb eaaa aaae fcccccccf aaa eaaa dccccccge aaab baag egccccccd baag aaaf fcccccccb aaa aaa bccccccce gaae eaaa gccccccg eaaa daad ecccccccb aaa aaae bcccccccf faad aaa dccccccaaa faaa egccaaacd gaab faaaccccd aaa aaadcccccccd eaaa faag dcccccccge daag aaa dcccccccge aaaf daaf bcccccccge aaa aaa bcccccccce faaa aaae bccccccccf gaad eaag fcccccccc aaae aaa fccccc aaa baab fcg baag aaa aaaf gaae aaa eaaa eaaa aaa daad faad aaae aaa aaa gaaf faaa aaa gaab aaa aaae faag eaaa aaa daa daaf baa aaa baa aaae faa eaag eaa aaa eaae baab aaf aaa aaf gaae aab eaaa aad aaa aad faad aag aaa aaa gaaf aaa aaa aaa aaa gaa faag gaa aaa daa daaf baa aaa faa aaae faaeaag eaaaaa aaaab aaaa aaae aaa da ``` <!-- end of image -->
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This image seems promising for intersection detection. I wonder what's going on inside those areas? Perhaps intersections are hiding there. <!-- image --> ```palette Key,Color ,#fefefeff a,#07d6d6ff b,#6ce2deff c,#e8f8f4ff d,#3adbd6ff e,#b0d7b1ff f,#a4eff0ff g,#93cc9cff ``` ```image b baac daac ac daac ba aad ab caad ca caab ba aab ab ab ca ad da ad af ad ca ad da aa af aa fa aa ad da ac da fa da ad ba ac ba ba fac ab fac ac fac ba caf ab caf ca caf da cab af ab ca ab daccccccccccccccccccccc ad cgabeeeeeeeeeeeeeeeeeeeeg ad cegaeeeeeeeeeeeeeeeeeeeegad ceeaaeeeeeeeeeeeeeeeeeeeaa ceeeageeeeeeeeeeeeeeeeeaa ceeebaeeeeeeeeeeeeeeeeaag ceeeeadeeeeeeeeeeeeeeaaeg ceeeeeaeeeeeeeeeeeeedaeeg ceeeeebaeeeeeeeeeeedaeeeg ceeeeeeadeeeeeeeeedaeeeeg ceeeeeeeaeeeeeeeedaeeeeeg ceeeeeeedaeeeeeebaeeeeeeg ceeeeeeeeadeeeebaeeeeeeeg ceeeeeeeeeaeeegaeeeeeeeeg ceeeeeeeeedaegageeeeeeeeg ceeeeeeeeeeadageeeeeeeeeg ceeeeeeeeeegabeeeeeeeeeeg ceeeeeeeeeeaaaeeeeeeeeeeg ceeeeeeeeeadeabeeeeeeeeeg ceeeeeeeeadeegaeeeeeeeeeg ceeeeeeeadeeeeaaeeeeeeeeg ceeeeeeadeeeeeeageeeeeeeg ceeeeeaaeeeeeeebaeeeeeeeg ceeeeaaeeeeeeeeeaaeeeeeeg ceeeaaeeeeeeeeeeeageeeeeg ceeaaeeeeeeeeeeeebaeeeeeg ceaaeeeeeeeeeeeeeeadeeeeg cdaeeeeeeeeeeeeeeeeaeeeeg daeeeeeeeeeeeeeeeeedaeeeg baeeeeeeeeeeeeeeeeeeeadeeg baceeeeeeeeeeeeeeeeeeeeaeeg bacceeeeeeeeeeeeeeeeeeeedaeg fac gggggggggggggggggggggade fac ca fac da caf af caf ca caf da ab af ab fa ad ad ad ac ad fa aa ad aa ac aa ba cfbaaaaa b ab cfbaaaaaadbf ac cfdaaaaaadbc ba cfdaaaaaadfc aaaadfc ``` <!-- end of image --> My goal is to determine if there's an intersection inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#05d6d7ff b,#74e7e8ff c,#c3f4f5ff d,#4de1e2ff e,#24dadbff f,#9fefefff g,#e6fafaff ``` ```image caad baaf eaeg caad baac geaeg caab c daac ca gaae cea faab geaa daac geaaf gaae geaaf faab geaaf daag geaab gaad daab baaf daab eaag daab caad daad baaf baad eaag baad caad baad baaf faaeg geaeg faaeg caab faaeg daac faaeg geae caaeg faab caaec daac caaac gaae ceaac faabeaac daaaaf caaaf geaaaf geaaeaag daabcaad daab baaf daab eaag daad caad baad baaf baad eaeg baad caab baaeg baac faaeg geae faaeg faab faaeg daac caaeg gaae caaec faab caaac daac caaac gaae geaac faaf geaaf daag geaaf gaad geaaf baaf geaaf eaag daab caad aab baaf ab eaeg d caad baac geaeg caab daac gaae ``` <!-- end of image --> Case closed! This is definitely 1 intersection point in area A. Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#05d6d7ff b,#73e7e8ff c,#c7f5f5ff d,#4be1e2ff e,#23dbdbff f,#9ceeefff g,#e7fafaff ``` ```image b baag daag ag eaeg ba geae ad gaad gag caad da gaab ab ab ga ad da ad af ae ca ae ee ae af ea ca ea ee ea ac da fa da ad ba ag ba ba fag ad fag ag cac ba cac ab gaf ga gaf da gab af ab ca ad ea ad af ae ca ae ee ae ac aa fa ea ae ea ag ea fa da ad da ag ba ba fag ab fag ga cac da cac abac caf gaea ab af ad ca ad ee ae ac ae fa ae ae aa ac ea fa ea ad ea ag da ba da ad ba gag bag da fag ab fag ga cac da cac af gaf ca gaf ea ab af ab ca ad ee ad ac ae fa ae ad ae ag ea ba gfdeaaaa b ad gfdaaaaaaebc ag gfdaaaaaadbc ba cfdaaaaaadfc aaaadfg ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#0248eeff b,#92ed52ff c,#7aa7d5ff d,#3b76e2ff e,#b1d8b1ff f,#d5e8e7ff g,#98cf92ff ``` ```image f ebbbbbbbbef bbbbbbbbbbbbbbbbbbef bbbbbbbbbbbbbbbbbbbbbbbbbbbef fbbbbe febbbbbbbbbbbbbbbbbbbbbbbeef gbbbbf febbbbbbbbbbbbbbbbbbbbb bbbbb febbbbbbbbbbbbbb bbbbb febbbbbb ebbbbe bbbb bbbbb bbb bbbb bbbe fbb fbbb f bbbf ebbb bbb gbbb bbb bbbg bbb bbbe fbbb egbbbgggggggggggggggggggdggggggggg gegbbbeeeeeeeeeeeeeeeeeaaaeeeeeeee geebbbeeeeeeeeeeeeeeeeaaaaeeeeeeee geebbbbeeeeeeeeeeeeeecaaaaeeeeeeee geeebbbeeeeeeeeeeeeeeaaaaaceeeeeee geeebbbgeeeeeeeeeeeeaaaaaaceeeeeee geeeebbbeeeeeeeeeeedaaadaadeeeeeee geeeebbbgeeeeeeeeecaaaccaadeeeeeee geeeegbbbeeeeeeeeeaaadeeaaaeeeeeee geeeeebbbeeeeeeeeaaaaeeeaaaeeeeeee geeeeebbbbeeeeeedaaaeeeeaaaeeeeeee geeeeeebbbeeeeecaaaceeeeaaaeeeeeee geeeeeebbbbeeeeaaaaeeeeeaaaeeeeeee geeeeeeebbbeeeaaaaeeeeeeaaaeeeeeee geeeeeeebbbgedaaaeeeeeeeaaaeeeeeee geeeeeeegbbbcaaaceeeeeeedaaceeeeee geeeeeeeebbbaaaaeeeeeeeedaadeeeeee geeeeeeeegbaaaaeeeeeeeeecaadeeeeee geeeeeeeeedaaaeeeeeeeeeecaaaeeeeee geeeeeeeeeaaadeeeeeeeeeeeaaaeeeeee geeeeeeeeaaaabeeeeeeeeeeeaaaeeeeee geeeeeeeaaaabbbeeeeeeeeeeaaaeeeeee geeeeeedaaagbbbeeeeeeeeeeaaaeeeeee geeeeeeaaadebbbgeeeeeeeeeaaaeeeeee geeeeeaaaaeegbbbeeeeeeeeeaaaeeeeee a geeeeaaaaeeeebbbeeeeeeeeeaaaceeeee daa geeecaaaceeeebbbbeeeeeeeedaaceeeee faaaaf geeeaaadeeeeeebbbeeeeeeeecaadeeeee faaaac geeaaaaeeeeeeebbbbeeeeeeecaaaeeeee aaaad geaaaaeeeeeeeeebbbeeeeeeeeaaaeeeee aaaaa gcaaaceeeeeeeeebbbgeeeeeeeaaaeeeee daaaa gaaadeeeeeeeeeegbbbeeeeeeeaaaeeeee daaaa aaaaeeeeeeeeeeeebbbgeeeeeeaaaeeeee caaaaf daaaeeeeeeeeeeeeegbbbeeeeeeaaaeeeee faaaac faaaceeeeeeeeeeeeeebbbeeeeeeaaaeeeee aaaac aaadeeeeeeeeeeeeeeebbbbeeeeeaaaceeee aaaad aaaaeeeeeeeeeeeeeeeeebbbeeeeedaaceeee aaaaa daaageeeeeeeeeeeeeeeeebbbbeeeedaadeeee daaaa faaacgeeeeeeeeeeeeeeeeeebbbeeeecaadeeee caaaaf aaaa geeeeeeeeeeeeeeeeeebbbgeeeeaaaeeee faaaaf aaaa geeeeeeeeeeeeeeeeeegbbbeeeeaaaeeee aaaac daaa geeeeeeeeeeeeeeeeeeebbbgeeeaaaeeee aaaad faaac geeeeeeeeeeeeeeeeeeegbbbeeeaaaeeee aaaaa aaaa geeeeeeeeeeeeeeeeeeeebbbeeeaaaeeee daaaa aaaa geeeeeeeeeeeeeeeeeeeebbbbeeaaaeeee caaaa caaaf geeeeeeeeeeeeeeeeeeeeebbbeeaaaeeee faaaaf faaac geeeeeeeeeeeeeeeeeeeeebbbgedaaceee faaaac aaaa geeeeeeeeeeeeeeeeeeeeeebbbedaadeee aaaad aaaa geeeeeeeeeeeeeeeeeeeeeebbbgcaadeee aaaad caaaf geeeeeeeeeeeeeeeeeeeeeegbbbcaaaeee daaaa aaad geeeeeeeeeeeeeeeeeeeeeeebbbeaaaeee daaaa aaaa geeeeeeeeeeeeeeeeeeeeeeebbbbaaaeee caaaaf daaa geeeeeeeeeeeeeeeeeeeeeeeebbbaaaeee faaaafcaaaf geeeeeeeeeeeeeeeeeeeeeeeebbbaaaeee aaaaaaad geeeeeeeeeeeeeeeeeeeeeeeeebbaaaeee aaaaaa geeeeeeeeeeeeeeeeeeeeeeeeebbcgeeee aaaa geeeeeeeeeeeeeeeeeeeeeeeeegbbbeeee daf geeeeeeeeeeeeeeeeeeeeeeeeeebbbgeee geeeeeeeeeeeeeeeeeeeeeeeeeegbbbeee geeeeeeeeeeeeeeeeeeeeeeeeeeebbbeee geeeeeeeeeeeeeeeeeeeeeeeeeeebbbeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0248efff b,#91ed51ff c,#89aaf6ff d,#457bedff e,#b7f28fff f,#c7d6fbff g,#ddf9caff ``` ```image bbbbb bbbbbg fc bbbbbe daad gbbbbbe faaaaad ebbbbb aaaaaad gbbbbbg daaaaaaa bbbbbb aaaaaaaa gbbbbbg faaaaaaaaf ebbbbbg daaaaaaaaaf bbbbbe caaaaaaaaaac ebbbbb faaaaaaaaaaac gbbbbbe daaaaadcaaaad bbbbbb daaaaaa caaaad bbbbbb aaaaaaf caaaad gbbbbbg daaaaa faaaaa bbbbbe caaaaaa aaaaa ebbbbb faaaaaaf aaaaaf bbbbbe faaaaaac aaaaaf ebbbbb daaaaad daaaac gbbbbbg caaaaaaf daaaac gbbbbbg aaaaaad caaaad bbbbbe aaaaaa caaaad ebbbbbg caaaaaa faaaaa bbbbbe faaaaaac faaaaa ebbbbb aaaaaad aaaaa bbbbb caaaaaaf aaaaaf bbbbbgfaaaaaac daaaac bbbbbbaaaaaad daaaac gbbbbdaaaaaa daaaac bbbbaaaaaaf caaaad ebbbaaaaaa caaaad edaaaaaa faaaaa caaaaaaf faaaaa faaaaaad aaaaa daaaaadbg aaaaa caaaaaabbe aaaaa faaaaadbbbbe aaaaa daaaaabbbbbb aaaaa caaaaaabbbbbb aaaaa faaaaaacebbbbb aaaaa aaaaaad gbbbbbg aaaaa daaaaad bbbbbb aaaaa faaaaaac bbbbbe aaaaaf aaaaaad ebbbbbg aaaaaf aaaaaa bbbbbe daaaac caaaaaa ebbbbb daaaac faaaaaac gbbbbbe caaaac aaaaaad ebbbbb caaaad caaaaaaf bbbbbe faaaaa faaaaaac gbbbbbg faaaaa daaaaad bbbbbe aaaaa aaaaaa bbbbbb aaaaaf caaaaaf bbbbbb aaaaaf daaaaad gbbbbbg daaaac caaaaaaf ebbbbb daaaac aaaaaaf gbbbbbg caaaad aaaaac bbbbbe caaaad aaaad ebbbbbg faaaad aaaaf bbbbbe faaaaa aaa gbbbbbe aaaaaf aad ebbbbb aaaaaf aaf gbbbbbg daaaaf ac bbbbbb daaaac d gbbbbb daaaac bbbbbg caaaad bbbbbe caaaad ebbbbb faaaaa gbbbbbe faaaaa ebbbbb aaaaa gbbbbbg aaaaaf gbbbbbg daaaac bbbbbe daaaac ebbbbb caaaac gbbbbbe caaaad ebbbbb caaaad gbbbbbg faaaaa bbbbbb aaaaa bbbbbb aaaaaf ebbbbbg aaaaaf bbbbbe daaaac ebbbbb daaaac ebbbbb caaaad gbbbbbg caaaad bbbbbb faaaad gbbbbbgfaaaaa bbbbbefaaaaa ebbbbbgaaaaaf ebbbbbaaaaaf gbbbbbaaaaac bbbbbaaaaac bbbbbaaaaad bbbbbaaaaad bbbbaaaaaa ebbbaaaaaa gbbbdbef ebbbbb gbbbbbg bbbbbb bbbbbe ebbbbbg bbbbbe bbbbbb bbbbbb ebbbbe g ``` <!-- end of image --> There is 1 intersection point visible in this close-up of area A. Answer: A: 1; 1 = 1 There's only one, but is an intersection after all.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0249efff b,#91ee51ff c,#90aff7ff d,#477cedff e,#b8f290ff f,#cfdcfaff g,#ddf9c9ff ``` ```image g ebbbbbbbeeg bbbbbbbbbbbbbbbbbbeg bbbbbbbbbbbbbbbbbbbbbbbbbbbeg gbbbbe gebbbbbbbbbbbbbbbbbbbbbbbegg ebbbbg gebbbbbbbbbbbbbbbbbbbbb bbbbb geebbbbbbbbbbbbb bbbbb geebbbbb gbbbbe bbbe bbbbb bbb bbbb bbbe gbe gbbb g bbbg ebbb bbb ebbb bbb bbbe bbb bbbg gbbb bbbg c ebbb aaa bbb aaaa bbbb caaaa bbb aaaaaf bbbe aaaaaac gbbb daaacaad bbbg caaafcaad gbbb aaad faaa bbb aaaa aaa ebbb daaa aaa bbb faaac aaa bbbe aaad aaa bbb aaaa aaa bbbe daaa aaaf gbbbfaaac daac bbbaaaa daac ebaaaa caad daaaf faaa faaad aaa aaaab aaa aaaabbe aaa caaafbbb aaa faaad bbbg aaa aaaa gbbb aaaf a aaaa bbbg aaaf daa caaaf ebbb daac faaaaf aaad bbb caad faaaac aaaa bbbb faaa aaaad daaa bbb aaa aaaaa caaaf bbbe aaa daaaa aaad gbbb aaa daaaa aaaa bbbg aaa caaaaf daaa ebbb aaa faaaac faaac bbb aaa aaaad aaad ebbb aaaf aaaad aaaa bbb daac aaaaa daaa bbbe caad daaaa faaac bbb caad caaaaf aaaa bbbe faaa faaaaf aaaa gbbb aaa aaaac daaa bbbg aaa aaaad faaac ebbb aaa aaaaa aaaa bbb aaa daaaa aaaa bbbb aaa daaaa caaaf bbb aaaf caaaaf faaad bbbe daac faaaac aaaa gbbb daac aaaad aaaa bbbgcaad aaaaa caaaf gbbbfaaa aaaaa aaad bbbgaaa daaaa aaaa ebbbaaa caaaaf aaaa bbbaaa faaaaccaaaf bbbaaa aaaaaaad bbaaa aaaaaa bbde aaaa gbbb daf bbbg ebbb bbb ebbg ``` <!-- end of image -->
[ "" ]
I'm optimistic that I'll find some intersections in this image. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#216e5cff b,#a25462ff c,#95c39aff d,#d9d4d5ff e,#b1d7b1ff f,#bd8f95ff g,#5d9686ff ``` ```image agd daaaaac gaaaaaae dgaaaaagd caaaaaac gaaaaaae dgaaaaagd caaaaaac dgaaaaaae eaaaaaagd caaaaaac dgaaaaagd eaaaaaag caaaaaac dgaaaaagd eaaaaaag b caaaaa bbb ecccccaaccccccccccccccce bbb ceeeeecageeeeeeeeeeeeeec bbf ceeeeeeaaeeeeeeeeeeeeeecbbf ceeeeeeaaeeeeeeeeeeeeeebbf ceeeeeecageeeeeeeeeeeebbd ceeeeeeeaaeeeeeeeeeecbbc ceeeeeeeaaeeeeeeeeecbbcc ceeeeeeecageeeeeeefbbeec ceeeeeeeeaaeeeeeebbbeeec ceeeeeeeeaaeeeecbbbeeeec ceeeeeeeecageebbbfeeeeec ceeeeeeeeeaaebbbeeeeeeec ceeeeeeeeeaabbbeeeeeeeec ceeeeeeeeebaaceeeeeeeeec ceeeeeeecbbaaeeeeeeeeeec ceeeeeebbbfgaceeeeeeeeec ceeeeebbbeeeaaeeeeeeeeec ceeefbbbeeeeaaeeeeeeeeec ceebbbceeeeegaceeeeeeeec ccbbbeeeeeeeeaaeeeeeeeec bbbfeeeeeeeeeaaeeeeeeeec bbbeeeeeeeeeeegaceeeeeeec fbbbeeeeeeeeeeeeeaaeeeeeeec bbbdceeeeeeeeeeeeeaaeeeeeeec dbbb ceeeeeeeeeeeeegageeeeeec fbbd ceeeeeeeeeeeeeeaaeeeeeec bbb ceeeeeeeeeeeeeeaaeeeeeec fbbf cac bbbd aa dbbb aa fbbd eac bbb aa fbbf aa bbbd dag dbbb aa fbbd aa bbb dag fbbf aa bbbd ga dbbb dag bbbd aa bbb gad fbbf ag bbbd aa dbbb gad bbbd aa bbb aa fbbf gad bbb aa dbbb aa bbbd cae bbb aa fbbf aa bbb cac dbbb aa bbbd aa bbb eac dbbf aa b aa eac aa aa dag c ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#206d5bff b,#a25361ff c,#80aca2ff d,#c8c3c4ff e,#e7e3e3ff f,#b97d88ff g,#4d877aff ``` ```image ecaaag gaaae daaac aaag gaaae daaac aaag f caaad fb daaac efbb aaaa ebbbb caaad ebbbbb daaac ebbbbbe aaaa ebbbbbe caaad dbbbbbe daaac dbbbbbe gaaa efbbbbfe caaad dbbbbbfe eaaag fbbbbbf gaaa efbbbbbd caaad dbbbbbfe eaaag efbbbbbd gaaae dbbbbbbe caaad fbbbbbf eaaagfbbbbbd gaaabbbbfe caaagbbd dbaaaafe fbbaaaae efbbbbaaac dbbbbbfaaag efbbbbbd gaaae dbbbbbfe daaac fbbbbbf aaag ebbbbbbd caaae dbbbbbfe daaac efbbbbbd aaaa dbbbbbfe caaad fbbbbbf daaac ebbbbbbd aaaa dbbbbbfe caaad efbbbbbd daaac bbbbbfe aaaa bbbbf caaad bbbd eaaac bfe gaaa d caaad eaaag gaaae caaad eaaag gaaae caaac ``` <!-- end of image --> I observe 1 intersection inside area A. Answer: A: 1; 1 = 1 The image features one single intersection point.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#206d5cff b,#a25261ff c,#85afa5ff d,#c5c2c2ff e,#e5e2e3ff f,#bc828dff g,#538f81ff ``` ```image age eaaaaac ecaaaaaad dgaaaaage caaaaaac ecaaaaaad dgaaaaage caaaaaac egaaaaagd dgaaaaage caaaaaac egaaaaagd daaaaaace caaaaaac egaaaaagd daaaaaace b caaaaa bbb eaa bbf dac bbf aa bbf aa bbf dac ebbd aa ebbd aa ebbe eag dbbe aa bbb ga ebbb eag fbbd aa bbb gabbf baae ebbaa fbbdgae bbb ag dbbf aa bbbe cad ebbb aa fbbd aa bbb cad dbbf aa bbbe aa ebbb cad fbbd aa bbb aa dbbf dac bbbe aa ebbb aa fbbd dac bbb aa dbbf aa bbbe dac ebbb aa fbbd aa bbb eag fbbf aa bbbe gae ebbb eag fbbd aa bbb gae fbbf eag bbbe aa ebbb gae fbbd aa ebbb aa fbbf cad bbbe aa dbbb aa fbbd cad ebbb aa fbbf aa bbbe cac dbbb aa bbbd aa ebbb dac dbbf aa be aa dac aa aa dac c ``` <!-- end of image -->
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Let's examine this image for potential line intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#78ec32ff b,#2b57cfff c,#b1d7b1ff d,#7e9cd8ff e,#96ca97ff f,#e8f4e9ff g,#a0ec77ff ``` ```image d bb bd fbf db bb bd fb db bb eeeeeeeeebdeeeec fcceccccccebcccce fccagccccccdbccce fcccacccccccbbcce fcccaacccccccbdce fccccaeccccccebce fccccgacccccccbbe a fcccccagcccccccbb gag fccccccaccccccccbc aaf fccccccaaccccccceb a fcccccccacccccccedb fa fcccccccgacccccce bd ga fccccccccagccccce bf ag fcccccccceaccccce fb af fcccccccccaacccce db a fccccccccccacccce bd a fccccccccccgaccce bf fa fcccccccccccagcce fb ga fccccccccccceacce bb ag fccccccccccccaace bd af feccccccccccccaee bf a fffffffffffffga cb a af bb fa ca bd ga ag bf ag a db af ga bb a af bd a ca bf fa ag db ceeeeeeeeeeeegaeeeeeeeec fa bb eccccccccccccagcccccccce aa bd eccccccccccccagcccccccce af bf eccccccccccccaccccccccce ca db eccccccccccccaccccccccce ag bb eccccccccccccaccccccccce fa bd ecccccccccccgaccccccccce aa fbf ecccccccccccagccccccccce af db ecccccccccccagccccccccce ga bb ecccccccccccacccccccccce ac bd ecccccccccccacccccccccce fa fbf ecccccccccccacccccccccce ag db eccccccccccgacccccccccce af bb eccccccccccaacccccdbbcce ga bd eccccccccccagebbbbbdecce ac fbf eccccccccdbbbbbdccccccce fa db ecccdbbbbbdaccccccccccce ag bb fdbbbbbdccccaccccccccccce a bd dbbbbbdccccccccgaccccccccccce ga fb fdbbbbdf ecccccccccaaccccccccccce af dbdbbbbbd ecccccccccagccccccccccce ca bbdf ecccccccccacccccccccccce ag ecccccccccacccccccccccce fa ecccccccccacccccccccccce ga eccccccccgacccccccccccce af eccccccccaacccccccccccce ca eccccccccagcccccccccccce ag eccccccccaccccccccccccce fa eccccccccaccccccccccccce aa eccccccgaaccccccccccccce af eccceaaaecccccccccccccce ga fgaagfffffffffffffffff ac faaaf fa gaag aa faaaf af gaag ga faaaf ac gaag fa faaaf aggaag aaf ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#77ed2fff b,#2b57d0ff c,#c3f6a4ff d,#a9baebff e,#728fdfff f,#e2f4e0ff g,#9bf167ff ``` ```image ebbd bbbf fc fbbb caa dbbe faag ebbd gaaf bbbf faag fbbb caac dbbe gaa ebbd faac bbbf gaaf fbbb faag dbbe caac ebbd gaa bbb faac fbb gaaf db faag e caac aaa caac gaaf faag caaf aag caac gaaf faag gaaf aag caac gaa faag gaaf faag caac gaa faac gaaf faag caac ``` <!-- end of image --> No intersection found in area A, but I won't give up. Onward to the next region of interest. I'm eager to see what's happening in this magnified view of area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#76ec30ff b,#2955ceff c,#bbf597ff d,#b9c7efff e,#718edfff f,#daf9c8ff g,#9aef69ff ``` ```image caa gag gag aac faaf faaf caa gag gag aac aaf faaf caa gag gag aac aaf faaf caa gaa gag aac aaf faaf caa caa dd gag ddebbbb aac deebbbbbbbb aaf ddebbbbbbbbbedd fabbbbbbbbbbeed deebbbbbbbbeed ddebbbbbbbbbedd deebbbbbbbbeegag ddebbbbbbbbbedd aac deebbbbbbbbeed aac bbbbbbbedd faaf bbedd caa caa gag aac aac faaf faa caa gag aac aac faaf faa caa gag aag aac faaf faa caa gag faag fcaaaac fgaaaaac fcaaaaagf ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#77ed30ff b,#2854cfff c,#bcf59aff d,#a4b6eaff e,#6686ddff f,#e0f2e0ff g,#9cf168ff ``` ```image d bb bd fb eb bb bd fb eb bb bd f fb ag eb a be ga bd af fb ca eb a ac be gag fa bd aa aa fb a af eb fa ca be ca ac bd ac fa db af ag eb a a be a ga bf fa ac db ca fa eb ac ag be af a bf a ga db a af eb fa ca be ca ag bf ag a db af ga bb a af be a ca bf fa ac db ca fa bb gg ga be af af bf a ca db a ac bb fa fa bd ca aa bf gg af db ac ca bb a ac bd a fa fb fa ag db ca a bb gg dbb ga bd acfebbbbef ac fb dbbbbed fa eb debbbbda ag bb febbbbed a a bd debbbbd ca ga fb febbbbef gg af ebdbbbbed ac ca bbef a ag a a a ga ca af gg ca ac ac af fa a aa caa af faaaf ca caag ac faaaf fa caag ag faaaf af caag ca faaaf ac caag fa faaaf agcaag aaf ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#32fac2ff b,#5d4a67ff c,#928c98ff d,#aafce5ff e,#ebf4efff f,#b0d5b1ff g,#6ef4c8ff ``` ```image aae aaaaage aadaaaaag gaa gaaaaag aae egaaaaad daa eaaaaaad aad daaaaaad eaa daaaaaae aad daaaaage aa gaaaaag gag gaaaaad aa egaaaaad daa eaaaaaad aae daaaaaae daa daaaaage eeeeeeeeeeeeeeeeeeee aad daaaaag effffffffffffffffffff eaa gaaaaag effffffffffffffffffff aag gaaaaagfffffffffffffffffff aa egaaaaagffffffffffffffff gaa daaaaaagfffffffffffff aae effgaaaaaafffffffffff daa efffffgaaaaagffffffff aad effffffffgaaaffffffff eaa effffffffffaafffbffff aad effffffffffgagfcbbfff aa efffffffffffaafbbffff gag efffffffffffaabbbffff aa efffffffffffaabbfffff gaa efffffffffffgaaffffff aae efffffffffffbaaffffff daa effffffffffcbaaffffff aad effffffffffbbaaffffff eaa efffffffffbbbgaafffff dag effffffffcbbffaafffff effffffffbbcffaafffff efffffffbbbfffaagffff effffffcbbffffgaaffff effffffbbcfffffaaffff efffffbbbffffffaaffff effffcbbfffffffaagfff effffbbcfffffffgaafff efffbbbfffffffffagfff efffbbfffffffffffffff effbbcfffffffffffffff ebbbeeeeeeeeeeeeeeee ebb bbc cbb ebbe bbc cbb ebbe bbc cbb ebbe bbc cbb bbe bbb cbb bbe bbb fbb bbf ce bbb fbbbce fbb ecbbbbbbe bbf ecbbbbbbe bbb cbbbbbbf fbb cbbbbbbf bbf cbbbbbbf bbb fbbbbbbf ebb fbbbbbbf bbf fbbbbbbc bbb fbbbbbbc ebb ebbbbbbc bbc ebbbbbbce cbb ecbbbbbce ebb ecbbbbbbbc ecbbbb c ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#31fac1ff b,#5c4967ff c,#b0aab7ff d,#d1ede8ff e,#5cfaceff f,#787689ff g,#93fcdeff ``` ```image egd aaaeg aaaaaaeg aaaaaaaaaeg gaaaaaaaaaaaed dgaaaaaaaaaaagd deaaaaaaaaaaagd geaaaaaaaaaaegd geaaaaaaaaaae dgeaaaaaaaag dgaaaaaae deaaaa aaaad dfd eaaag fbbc gaaae cbbbbc gaaaa dbbbbf aaaad fbbbbd eaaagcbbbbc gaaaebbbbf daaaabbbbd aaaafbbc eaaafbf gaaaabd caaaac dbaaaad fbaaaag cbbfaaae dbbbfaaaa fbbbbaaaad cbbbbceaaag dbbbbb gaaae fbbbbd daaaa cbbbbf aaaad dbbbbb eaaag fbbbbc gaaae cbbbbf daaaa bbbbb aaaad fbbbbc eaaag cbbbbf gaaae bbbbbd daaaa fbbbbc aaaad dbbbbf eaaag bbbbbd gaaae cbbbbc daaaa dbbbbf aaaad fbbbbd eaaag cbbbbc gaaae dbbbbf daaaa fbbbbd aegd cbbbbc dbbbbf fbbbbd ``` <!-- end of image --> As I suspected, there's 1 intersection within area A. Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#33fac2ff b,#5d4967ff c,#ada3b2ff d,#bffdebff e,#d8d3daff f,#817289ff g,#7afbd7ff ``` ```image aad aaaaag aagaaaaag gaa gaaaaag aa gaaaaag daa daaaaaad aad daaaaaad daa daaaaaad aag gaaaaag aa gaaaaag gag gaaaaag aa gaaaaad gaa daaaaaad aad daaaaaad daa daaaaaa aad gaaaaag aa gaaaaag aag gaaaaag aa aaaaaad gaa daaaaaad aa daaaaaad daa daaaaag aad gaaa daa aad f aag gag cbb aa aa bbe aag aabbf aa aabb gaa gaae aa baa daa cbaa aad bbaad aa bbbgag dag cbb aa bbe aa bbb aad ebb gaa bbc aa bbb aa ebb aad bbc gaa fbb ad ebb bbc fbb ebb bbc fbb ebb bbf fbb bb bbf cbb bbe bbf cbb bbe bbf cbb bbe bbf cbb bbe f bbb ebbbfe cbb fbbbbbfe bbe fbbbbbfe bbb cbbbbbbe ebb cbbbbbbe bbc cbbbbbbc bbb cbbbbbbc ebb cbbbbbbc bbc ebbbbbbc fbb ebbbbbbc ebb ebbbbbbc bbc efbbbbbf fbb efbbbbbf ebb fbbbbbbbc fbbbb c ``` <!-- end of image -->
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Alright, let's get to work and investigate this image for intersections. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#baab24ff b,#87baa1ff c,#e5dfadff d,#408986ff e,#b0d6b1ff f,#c9c367ff g,#edf3ebff ``` ```image caa af ff fag ag cac a aa cf a ag cf a a ca a ac fc a a ga ga fc fg a a ga cf ff a a a ga cc ff a ag a a fc cf a ag d gf a be ag ca gd a ac d cf a bb a ca d a ac dg fc a ggggggggggggggggggedggg a ga geeeeeeeeeeeeeeeeeedeeeeg ga fc geeeeeeeeeeeeeeeeedbeeeeg fg ac geeeeeeeeeeeeeeeebdeeeeeg a aa geeeeeeeeeeeeeeeedeeeeeeg cf gafeeeeeeeeeeeeeeedbeeeeeeg a faeeeeeeeeeeeeeedeeeeeeeg a geaaeeeeeeeeeeedeeeeeeeeg cc geeeafeeeeeeeebbeeeeeeeeg a geeeefaeeeeeeedeeeeeeeeeg a geeeeeeaaeeeedeeeeeeeeeeg fc geeeeeeeeafebdeeeeeeeeeeg a geeeeeeeeefadeeeeeeeeeeeg ga geeeeeeeeeedaaeeeeeeeeeeg ag geeeeeeeeebdeeafeeeeeeeeg a geeeeeeeeedeeeefaeeeeeeeg cf geeeeeeeedbeeeeeeaaeeeeeg a geeeeeeeedeeeeeeeefafeeeg a geeeeeeedeeeeeeeeeeeaaeeg fc geeeeeebbeeeeeeeeeeeeeaag a geeeeeedeeeeeeeeeeeeeeefa a geeeeedeeeeeeeeeeeeeeeeeg fg geeeebdeeeeeeeeeeeeeeeeeg a geeeedeeeeeeeeeeeeeeeeeeg gf geeedbeeeeeeeeeeeeeeeeeeg a bbbdbbbbbbbbbbbbbbbbbbb a d cf be a gd a d fc bb a d ga dg ag eb a d cf dg a gd d de gd d bb d dg eb d dg gd d ddddddddbbbbbbbeeeeegggggg de ggggggeeeeeebbbbbbbdddddddddddddddddd ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#baaa24ff b,#6ca4a2ff c,#e0d99dff d,#3c8683ff e,#a3c6c5ff f,#cec262ff g,#e4eadeff ``` ```image edb ddg bde gdd ddg edb gdd bde edb gddg f bde aac edb caafg ddg gfaaf bde caaac gdd caafg ddg gfaaf edb caaac gdd faafg bde gfaac edb caaac gddg faafg bde gfaac edb caaacgddg faaade gaaac ddaaac edb faafg gdd gaaac bde caaag edb gfaafg gddg gaaac bde caaag edb gfaafg gddg gaaac bde caafg gdb gfaaf ddg caaac edb caa gdd gf bde edb gddg bde edb gddg bde edb ddg ede ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#bbab24ff b,#6fa6a5ff c,#e1da9fff d,#3c8684ff e,#a5c7c6ff f,#cec363ff g,#e6ebdcff ``` ```image caa af cf fa ag gac a aa cf a ag cf a a ca a ac fc a a ga a fc fg a a ga gf fc a a a a cc ff a a a a fg cf a ag d gf a be a ca d a ag d cf a eb a ga d a ac dg fc a eb a ga d a fc dg fg ag gd a aa d gf gaf be a cag d a aa d cc gaf eb a fag d a aa dg fc gac eb a fad ga daa ag gd gac a d fag cf be aa a gd gac a d fa cc eb af a d ca a dg fg eb a d gf dg a gd a d cc be a gd a d fc be a d ga dg ag eb a d cf dg a gd d be gd d be d d eb d dg gd d ddddddbbbbbbbeeeeeeeggggg be ggggggeeeeeeebbbbbbbdddddddddddddddd ``` <!-- end of image -->
[ "" ]
Alright, let's get to work and investigate this image for intersections. There are 1 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#41cdbcff b,#670f4bff c,#8b6a80ff d,#ecf6f0ff e,#7dd7c4ff f,#b1d7b1ff g,#97c897ff ``` ```image cb bbb bbbc cbbb bbb bbbc cbbb bbbggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggd fe bbbcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaa cbbbfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaaaae bbbfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaaaaae bbbcffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaaaaae cbbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaaaaae gbbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd eaaaaaae gbbbcfffffffffffffffffffffffffffffffffffffffffffffffffffffffffdaaaaaaae gcbbbffffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaaaaae gfbbbffffffffffffffffffffffffffffffffffffffffffffffffffffffaaaaaaaf gfbbbcfffffffffffffffffffffffffffffffffffffffffffffffffffaaaaaaad eaagfcbbbfffffffffffffffffffffffffffffffffffffffffffffffffaaaaaaad aaagffbbbffffffffffffffffffffffffffffffffffffffffffffffeaaaaaaaffd aaaaffbbbcfffffffffffffffffffffffffffffffffffffffffffeaaaaaaaffffd eaaaffcbbbfffffffffffffffffffffffffffffffffffffffffeaaaaaaaffffffd aaafffbbbfffffffffffffffffffffffffffffffffffffffeaaaaaaaffffffffd aaaeffbbbcffffffffffffffffffffffffffffffffffffeaaaaaaaffffffffffd aaaaffcbbbffffffffffffffffffffffffffffffffffeaaaaaaaffffffffffffd faaafffbbbffffffffffffffffffffffffffffffffeaaaaaaaffffffffffffffd aaafffbbbcfffffffffffffffffffffffffffffaaaaaaaeffffffffffffffffd fc aaaeffcbbbfffffffffffffffffffffffffffaaaaaaaeffffffffffffffffffd fccbbbbbbb eaaafffbbbfffffffffffffffffffffffffaaaaaaaefffffffffffffffffffgccbbbbbbbbbbbbbbbd daaafffbbbcffffffffffffffffffffffaaaaaaaefffffffffffffgccbbbbbbbbbbbbbbbbbbbbbbbf aaafffcbbbffffffffffffffffffffaaaaaaaefffffffgccbbbbbbbbbbbbbbbbbbbbbbbccf aaaefffbbbffffffffffffffffffaaaaaaaefgccbbbbbbbbbbbbbbbbbbbbbbbccfd aaaafffbbbcfffffffffffffffaaaaaaabbbbbbbbbbbbbbbbbbbbbbbccffffd gaaafffcbbbffffffffffgccaaaaaaabbbbbbbbbbbbbbbbbccffffffffffffd gaaaffffbbbffgccbbbbbcaaaaaaabbbbbbbbbbbccgfffffffffffffffffffd gaaaefffbbbbbbbbbbbcaaaaaaabbbbbccgfffffffffffffffffffffffffffd geaaafffcbbbbbbbbcaaaaaaacgfffffffffffffffffffffffffffffffffffd gfaaaffffbbbbbbbcaaaaaafffffffffffffffffffffffffffffffffffffffd gfaaaeffffgfffffaaaaafffffffffffffffffffffffffffffffffffffffffd gfaaaaffffffffffaaaeffffffffffffffffffffffffffffffffffffffffffd gfeaaaffffffffffaaaeffffffffffffffffffffffffffffffffffffffffffd gffaaaffffffffffaaaeffffffffffffffffffffffffffffffffffffffffffd gffaaaefffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gffaaaafffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gfffaaafffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gfffaaafffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gfffaaaeffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gfffeaaaffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gffffaaaffffffffaaafffffffffffffffffffffffffffffffffffffffffffd gffffaaafffffffeaaafffffffffffffffffffffffffffffffffffffffffffd gffffaaaeffffffeaaafffffffffffffffffffffffffffffffffffffffffffd gffffeaaaffffffeaaafffffffffffffffffffffffffffffffffffffffffffd gfffffaaaffffffaaaafffffffffffffffffffffffffffffffffffffffffffd gfffffaaaefffffaaaefffffffffffffffffffffffffffffffffffffffffffd gfffffaaaafffffaaaeffffffffffffffffffffffffffffffffffffffffffgd ddddddfaaadddddaaadddddddddddddddddddddddddddddddddddddddddddd aaa aaad aaaf aaa eaaa aaa daaa aaa aaa aaa aaae daaa eaaa daaa daaa faaa aaad eaaa aaae eaae faaa eaae aaa aaae aaadaaaf aaaaaaad daaaaaad aaaaaa aaaaaa eaaaaa daaaaa aaaaa aaaaa eaaaa daaaa aaae aaae daa ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#41ccbdff b,#670e4bff c,#a97b9cff d,#c1eee9ff e,#81ddd3ff f,#7e4773ff g,#d7c1d0ff ``` ```image bbbc bbbb bbbbg bbbbc bbbbb bbbbb bbbbb bbbbbg bbbbbc bbbbbb cbbbbbg gbbbbbc bbbbbb cbbbbbg gbbbbbc bbbbbb gbbbbbc eaaa fbbbbb aaaaa cbbbbbg eaaaaaa gbbbbbc eaaaaaaaa fbbbbb deaaaaaaaaaa cbbbbbg deaaaaaaaaaaaa gbbbbbc eaaaaaaaaaaaaed bbbbbb deaaaaaaaaaaaed d bbbbbbg deaaaaaaaaaaaad e bbbbbbc daaaaaaaaaaaaae a fbbbbbb daaaaaaaaaaaaae ad gbbbbbbc daaaaaaaaaaaae ae fbbbbbb eaaaaaaaaaaaad aa cbbbbbbg eaaaaaaaaaaaaad aad gbbbbbbc eaaaaaaaaaaaaad aae fbbbbbb eaaaaaaaaaaaaad aae cbbbbbbg eaaaaaaaaaaaaed aaa gbbbbbbc deaaaaaaaaaaaed aaad fbbbbbb deaaaaaaaaaaaae aaae cbbbbbb deaaaaaaaaaaaaed aaaa gbbbbbb deaaaaaaaaaaaaed aaaa fbbbbb deaaaaaaaaaaaaed aaaae gbbbbbc daaaaaaaaaaaae aaaaa fbbbbb daaaaaaaaaaaaae g aaaaa cbbbbbg daaaaaaaaaaaaae ggcffbbb aaaaa gbbbbbf eaaaaaaaaaaaaad gccffbbbbbbbbbb aaaaa fbbbbb aaaaaaaaaaaaad ggccffbbbbbbbbbbbbbbbbb aaaaa cbbbbbg eaaaaaaaaaaaad ggccfbbbbbbbbbbbbbbbbbbbbbbbbb aaaaad gbbbbbf eaaaaaaaaaaaaa gccffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaae fbbbbb deaaaaaaaaaaaaed ggccffbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb aaaaae cbbbbbg deaaaaaaaaaaaaacccfbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffccg eaaaaa gbbbbbf eaaaaaaaaaaaaafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffccgg daaaaad fbbbbb deaaaaaaaaaaaafbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbffccg aaaaaa gbbbbbf ggccfbbbfaaaaaaaaaaaaaabbbbbbbbbbbbbbbbbbbbbbbffccgg eaaaaa fbbbbb gccffbbbbbbbbfaaaaaaaaaaaaafbbbbbbbbbbbbbbbbbbffccg daaaaad cbbbbbfffbbbbbbbbbbbbbfaaaaaaaaaaaaafbbbbbbbbbbbbbffcgg aaaaae gbbbbbbbbbbbbbbbbbbbbfaaaaaaaaaaaafbbbbbbbbfccggg eaaaaa bbbbbbbbbbbbbbbbbbfaaaaaaaaaaaafbbbfccggg eaaaaad bbbbbbbbbbbbbbbbfaaaaaaaaaaaaacgg daaaaad bbbbbbbbbbbbbbbaaaaaaaaaaaaad aaaaae fbbbbbbbbbbbbfcaaaaaaaaaaad eaaaaa fbbbbffccg eaaaaaaaaad daaaaad g eaaaaaaed daaaaae aaaaaaa eaaaaa aaaaaae daaaaad aaaaaad aaaaae aaaaaad aaaaaa daaaaaad aaaaaa daaaaaad aaaaaad daaaaaad aaaaaae daaaaaa eaaaaaa daaaaaa eaaaaaad eaaaaaa daaaaaad eaaaaaa aaaaaae eaaaaae daaaaaad aaaaaae daaaaaae aaaaaae aaaaaae aaaaaae eaaaaaa aaaaaad daaaaaad aaaaaad aaaaaae daaaaaad aaaaaaa daaaaaad eaaaaaa daaaaaa daaaaaa daaaaaa aaaaaa eaaaaaa eaaaaa eaaaaaa daaaaae eaaaaae aaaaae eaaaaae eaaaaa aaaaaae daaaaad aaaaaae aaaaae aaaaaae ``` <!-- end of image --> Gotcha! I've found 1 intersection hiding in area A! Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#40cdbdff b,#670f4bff c,#98698eff d,#d6e9eaff e,#9de5dcff f,#be99b3ff g,#6cd8ccff ``` ```image cb bbb bbbc cbbb bbb bbbc cbbb bbb ee bbbc eaaa cbbb eaaaaae bbb eaaaaaag bbbc gaaaaaag cbbb gaaaaaag bbb gaaaaaae bbbc gaaaaaae cbbb aaaaaaae bbb aaaaaaae bbbc daaaaaaad gaa cbbb daaaaaaad aaa bbb daaaaaaad aaag bbbc daaaaaaad eaaa cbbb eaaaaaaa aaa bbb eaaaaaaa aaad bbbc eaaaaaag aaag cbbb eaaaaaag eaaa bbb gaaaaaag aaa bbbc gaaaaaag df aaae fbbb gaaaaaae dfcbbbbbbb gaaa bbb aaaaaaae dfcbbbbbbbbbbbbbbb daaa bbbc aaaaaaae dfcbbbbbbbbbbbbbbbbbbbbbbbd aaa fbbb aaaaaaae dfcbbbbbbbbbbbbbbbbbbbbbbbccf aaae bbb daaaaaaad dfcbbbbbbbbbbbbbbbbbbbbbbbbcf gaaa bbbc daaaaaaabbbbbbbbbbbbbbbbbbbbbbbcf aaa fbbb dfcaaaaaaabbbbbbbbbbbbbbbbbcfd aaad bbb dfcbbbbbcaaaaaaabbbbbbbbbbbcfd aaag bbbbbbbbbbbcaaaaaaabbbbbcfd eaaa fbbbbbbbbcaaaaaaafd aaa bbbbbbbcaaaaag aaad d gaaag aaag aaae eaaa aaae aaa aaad aaae aaad gaaa aaa daaa aaa aaa aaa aaae aaa eaaa aaa aaa daaa aaad daaa aaag eaaa eaaa gaag aaa gaag aaad aaae aaag aaae daaa aaad aaa aaad aaae aaa gaaa aaa daaa aaa aaa aaa aaae aaa eaaa daaa aaa eaaa aaad eaaa aaag gaag eaaa gaag aaa aaae aaadaaae gaagaaad daaaaaa aaaaaa aaaaaa gaaaaa daaaaa aaaaa aaaaa eaaaa aaaa aaag aaae daa ``` <!-- 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've noticed 1 areas of interest. These could be potential intersection zones. <!-- image --> ```palette Key,Color ,#fefefeff a,#468479ff b,#4fe96dff c,#b0d7b1ff d,#90d496ff e,#cdeed8ff f,#105c55ff g,#79a59eff ``` ```image bbe ebbb bbbb dbbbbd dccccccccccccccccbbbbbbd dcccccccccccccccbbbcdbbd dcccccccccccccccbbbccbbb dccccccccccccccbbbcccbbb dcccccccccccccdbbdccccbbc dcccccccccccccbbbcccccbbb dccccccccccccbbbccccccdbb dccccccccccccbbbcccccccbbb dccccccdafffbbbccccccccbbb dcccafffffffbbdccccccccdbbc gffffffffffbbbcccccccccdbbb eaffffffffadccabbdcccccccccdcbb gfffffffffgccccccbbbccccccccccd bbd cfffffffffgdccccccccbbbfacccccccccd bbb eaffffffffge dccccccccbbbffcccccccccd ebbe gffffffffae dcccccccbbbgffcccccccccd bbb cfffffffffg dcccccdbbbdcffaccccccccd dbb eaffffffffg dccccbbbbdccfffccccccccd bbd gffffffffae dcccbbbbccccdffdcccccccd bbb cfffffffffc dccbbbbccccccfffcccccccd ebbe eaffffffffg ddbbbbcccccccaffcccccccd bbb gffffffffae bbbbdcccccccccffgccccccd dbb gfffffffffc bbbbcccccccccccfffccccccd bbc ffffffffg bbbbccccccccccccaffccccccd bbb gfffae bbbbddddddddddddddffadddddc cbb c ebbbd fff bbb dbbbe cff bbb bbbb ffa bbe bbbb fff bbb ebbbb effe cbb cbbbc fff bbd bbbbe aff bbb bbbb effc ebbe bbbb fff bbb ebbbd gff dbb dbbbe ffg e bbbb fff bbbb gff ebbbb ffa cbbbc fff bbbbe cffe edcee bbbb ffa dbbbbbbbbbbbbbbddceeebbbb aff dbbbbbbbbbbbbbbbbbbbbbbd effc eeecddbbbbbbbbbbe fff aff ffg fff gff ffg fff cff ffa fff effe fff aff ffc fff gff ffg fff cff ffa fff effe fff aff ffc fff gff ffg fff gff ffa fff cfg ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#3b8571ff b,#4ee96cff c,#aee3bfff d,#7aee91ff e,#daf2e1ff f,#105b55ff g,#739f9cff ``` ```image dbbbbbbbbbd ebbbbbbbbbbb dbbbbbebbbbbc cbbbbbc dbbbbd bbbbbb ebbbbb cbbbbbc dbbbb ebbbbbd cbbbb dbbbbbe bbbb ebbbbbd dbbb dbbbbb ebbb cbbbbbc bbb bbbbbd cbb dbbbbbe ebb ebbbbbd db dbbbbbe cb cbbbbbc b bbbbbb d cggge cbbbbbc e egafffffaebbbbbd ecgafffffffffdbbbbbe cgafffffffffffffbbbbbd egaffffffffffffffffbbbbbbe ecgfffffffffffffffffffabbbbbc ffffffffffffffffagc gfbbbbbb fffffffffffffgce cabbbbbe fffffffffage ebbbbbb fffffagc dbbbbba ffgce ebbbbbafc e dbbbbbffg cbbbbbafff bbbbbbffffc dbbbbbaffffg edbbbbbdcfffffe ebbbbbbbe fffffc cbbbbbbbc gffffa cbbbbbbbc cfffffe dbbbbbbbe fffffg edbbbbbbde gffffa ebbbbbbbd efffffe cbbbbbbbc affffg dbbbbbbbc gfffff edbbbbbbbe efffffc ebbbbbbbde affffg cbbbbbbbd cfffff cbbbbbbbc fffffc dbbbbbbbe gffffa bbbbbbde cfffffe bbbbbd fffffg bbbbc gffffa bbbc efffffe ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#438179ff b,#4fea6dff c,#9ebcbaff d,#8ef1a1ff e,#cbeed6ff f,#105b55ff g,#729e9bff ``` ```image bbe ebbb bbbb dbbbbd bbbbbb bbb ebbe bbd bbb bbb dbb ebbe bbd bbb bbb dbbe ebb bbb bbb eaffabbb bbb gfffffffbbd bbe cffffffffffbbb bbb eaffffffffge abbe dbb gffffffffae bbb bbd cfffffffffc bbbfg bbb eaffffffffg bbbff ebbe gffffffffae bbbcff bbb cfffffffffc ebbbd ffa dbb eaffffffffg dbbbe fff bbd gffffffffae bbbb effe bbb cfffffffffc bbbb fff ebbe eaffffffffg ebbbd aff bbb gffffffffae dbbbd ffc dbb cfffffffffc bbbbe fff bbd ffffffffg bbbb gff bbb gfffae bbbb ffg ebb c ebbbd fff bbb dbbbe cff bbb bbbb ffa bbe bbbb fff bbb ebbbb effe dbb dbbbd ffa bbd bbbbe aff bbb bbbb ffc ebbe bbbb fff bbb ebbbd gff dbb dbbbe ffg e bbbb fff bbbb cff ebbbb ffg dbbbd fff bbbbe cffe eddee bbbb ffa dbbbbbbbbbbbbbbdddeeebbbb aff dbbbbbbbbbbbbbbbbbbbbbbd effe eeedddbbbbbbbbbbe fff aff ffc fff gff ffg fff cff ffa fff effe fff aff ffc fff gff ffg fff cff ffa fff effe fff aff ffc fff gff ffg fff cff ffa fff efg ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#102cc0ff b,#cab964ff c,#b2bbeaff d,#e1d7a7ff e,#6078c5ff f,#f0f4eeff g,#b0d6b0ff ``` ```image ac faae aae aaa eaa caaf caac faae aaa aaa eaaf caac faac aae aaa eaa eaaf caac faae aaa aaa fbd eaa bb caaf fbb faac dbd aae bbf aaa fffffffffffffbbfffffffffffffffffffffffffffffffffff bb eaa ggggggggggggbbbbgggggggggggggggggggggggggggggggggg dbd eaafggggggggggggbbbbbggggggggggggggggggggggggggggggggg bbf caaegggggggggggbbggbbbggggggggggggggggggggggggggggggg bb faaeggggggggggbbgggbbbgggggggggggggggggggggggggggggg fbb aaagggggggggbbggggbbbggggggggggggggggggggggggggggg bbf gaaaggggggggbbggggggbbbggggggggggggggggggggggggggg bb ggeaagggggggbbgggggggbbbgggggggggggggggggggggggggg fbb gggeaaggggggbgggggggggbbbggggggggggggggggggggggggg bbd gggggaaegggbbgggggggggggbbgggggggggggggggggggggggg bb ggggggaaeggbbggggggggggggbbbgggggggggggggggggggggg fbb gggggggaaegbbgggggggggggggbbbggggggggggggggggggggg dbd ggggggggaaebbgggggggggggggggbbgggggggggggggggggggg bbf gggggggggaaebggggggggggggggggbbbgggggggggggggggggg bb ggggggggggaaegggggggggggggggggbbbggggggggggggggggg dbd gggggggggggaaggggggggggggggggggbbbgggggggggggggggg bbf gggggggggggbaagggggggggggggggggggbbbgggggggggggggg bb ggggggggggbbgaagggggggggggggggggggbbbggggggggggggg dbb ggggggggggbbggaagggggggggggggggggggbbbgggggggggggg bbf ggggggggggbbgggaaggggggggggggggggggggbbbgggggggggg bb ggggggggggbbgggeaaggggggggggggggggggggbbbggggggggg fbb ggggggggggbbggggeaaggggggggggggggggggggbbbgggggggg bbd ggggggggggbbgggggeaagggggggggggggggggggggbbggggggg bb ggggggggggbgggggggeaagggggggggggggggggggggbbbggggg fbb ggggggggggbggggggggaaagggggggggggggggggggggbbbgggg dbd gggggggggbbgggggggggaaaggggggggggggggggggggggbgggg bb gggggggggbbggggggggggaaegggggggggggggggggggggggggg bb gggggggggbbgggggggggggaaeggggggggggggggggggggggggg dbd gggggggggbbggggggggggggaaegggggggggggggggggggggggg bbf gggggggggbbgggggggggggggaaeggggggggggggggggggggggg bb fffffffffbdffffffffffffffaacffffffffffffffffffffff dbb fbf aaf bbf db faaf bb db faa ef fbb bb caa eaaa bbd bb caa caaaaa bb bb caa caaac ea fbb bd eaa faaae fae dbd bd eaaaae aa bb fbf aaa aa bb db cac dbd bb ac bbf bb bb bb dbb bb bbf bd bb fbd fbb dbf bbd db bb bb fbb bb dbdbb bbbb bbd dbf f ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#0f2bc0ff b,#cbb862ff c,#cbd1f1ff d,#dccf95ff e,#939fe0ff f,#ede7cbff g,#5164c7ff ``` ```image fbbbbf fbbbbbd dbbbbbbd dbbdbbbbbf c bbb fbbbbbf ac bbb dbbbbd aae bbb dbbbbbf aaae fbbb fbbbbbf aaaag fbbb fbbbbbd eaaaag dbbb dbbbbb eaaaaac dbbb fbbbbbf caaaaac dbbd fbbbbbd cgaaaae bbbd dbbbbd gaaaag bbbf dbbbbbf eaaaag bbbf fbbbbbd eaaaagc fbbbf dbbbbd caaaaac fbbb dbbbbbf caaaaae dbbb fbbbbbf gaaaae dbbb dbbbbd gaaaag dbbd dbbbbbf eaaaag bbbd fbbbbbf eaaaag bbbf fbbbbbd caaaag fbbbf dbbbbb caaaagfbbbf fbbbbbf caaaagbbb fbbbbbd caaaagbb dbbbbd eaaaagd dbbbbbf eaaaae fbbbbbd gaaaac dbbbbbf fbgaaaa fbbbbbf fbbgaaac dbbbbd fbbbgaaac dbbbbbf dbbb gaag fbbbbbf dbbd gaag fbbbbbd bbbd aaag dbbbbb bbbd aaaag fbbbbbf bbbf caaaag fbbbbbd fbbbf caaaae dbbbbd fbbb caaaae dbbbbbf dbbb eaaaae fbbbbbd dbbb eaaaae dbbbbd dbbd eaaaac dbbbbf bbbd eaaaac fbbbbf bbbf gaaaac dbbbd bbbf gaaaac dbbbbf fbbbf gaaaac bbbbbf fbbb gaaag fbbbbbd dbbb gaaag dbbbbd dbbb aaaag fbbbf dbbd caaaag fbd bbbd caaaag bbbf caaaae fbbbf caaaae fbbbf caaaae fbbb eaaaae dbbb eaaaac dbbd eaaaac ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Answer: A: 1; 1 = 1 The final count is: one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#0e2ac0ff b,#ccb963ff c,#afb8e9ff d,#e0d5a3ff e,#7382d3ff f,#eceae2ff g,#3f55ccff ``` ```image ac faae aag aaa gaa caaf faac aae aag gaa eaa caaf faac aag aaa gaa eaaf caac aae aag gaa fbd eaa bb caaf bb faac dbd aag bb aaa fbb bb gaa dbbb dbd eaaf dbdbbf bbf caac bb fbbd bb faae bb bbb fbb aag bb dbbf bbf aaa bd fbbd bb gaa bd bbb fbb caaf fbf bbb dbd faac db fbbd bb aae bb bbb bb aag bb bbb dbd aaebb dbbf bb aaeb bbb bb aae bbb dbd aac dbbf bbf fbaaf fbbd bb db aaf bbb fbb bb faa dbbf bbf bb faa fbbd bb bb caa bbb fbb bb caa bbb bbd bd eaa fbbd bb fbf eaa bbb bb db gag bbb dbd db gag dbd bb bb aae bb bb aae dbd bb aac bbf bb aac bb bd aaf fbb fbf aaf bbf db faa bb db faa g fbb bb caa eaag bbd bb caa caaaaa bb bb eaa faaac ea fbb bd eaa aaae ae dbd bd gaaaag aa bb fbf gaa ga bb db cac dbd bb ac bbf bb bb bb fbb bb bbf bd bb bd fbb fbf bbf db bb bb fbb bb dbdbb bbbb bbd dbf 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. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#56ebe0ff b,#daf0b4ff c,#9bf4efff d,#14e6d9ff e,#b1d7b1ff f,#94cb98ff g,#eef8ebff ``` ```image dd g dcac b dc d b dc cc gg dc d b dc ca b dc d gb dc gd b dc ggggdgggggggggggggggggbg dc feeefdeeeeeeeeeeeeeeeebfg dc feeeedeeeeeeeeeeeeeeebeeg dc feeeeedeeeeeeeeeeeeebeeeg dc feeeeedfeeeeeeeeeeeebeeeg dc feeeeeedeeeeeeeeeeebeeeeg dc feeeeeeaaeeeeeeeeebeeeeeg dc feeeeeeedeeeeeeeeebeeeeeg dc feeeeeeeaaeeeeeeebeeeeeeg dc feeeeeeeedeeeeeebeeeeeeeg dc feeeeeeeeedeeeebeeeeeeeeg dc feeeeeeeeedeeebeeeeeeeeeg dc feeeeeeeeeedebeeeeeeeeeeg dc feeeeeeeeeedeeeeeeeeeeeeg dc feeeeeeeeebbdeeeeeeeeeeeg dc feeeeeeeebbedfeeeeeeeeeeg dc feeeeeeebeeeedeeeeeeeeeeg dc feeeeeebeeeeeaaeeeeeeeeeg dc feeeeebeeeeeeedeeeeeeeeeg dc feeeebeeeeeeeeaaeeeeeeeeg dc feeebeeeeeeeeeedeeeeeeeeg dc feebeeeeeeeeeeeedeeeeeeeg dc fbbeeeeeeeeeeeeedeeeeeeeg da bbeeeeeeeeeeeeeeedeeeeeeg da beeeeeeeeeeeeeeeeedeeeeeeg da bgfeeeeeeeeeeeeeeeeedeeeeeg da bg efffffffffffffffffdfffffg da b d da b ac aa gb d aa gb ca aa gb d aa bb ga aa bg d aa bg gd aa bg dg aa b d aa b ag aa gb d aa gb ac aa bb d aa bb ca aa bg d aa bg g bg b b gb gb bb bb bg bg bg b gb gb gb bb bb bg bg bg b gb gb gb bb bb bg bg ``` <!-- end of image --> Could this be where the intersection is hiding, in area A? <!-- image --> ```palette Key,Color ,#fefefeff a,#35eae0ff b,#dbf1b5ff c,#99f4efff d,#06e6d9ff e,#6befe5ff f,#cef9f7ff g,#edf8dbff ``` ```image edc gbg dd gbb cde bb adf gbg cde gbb adf bbg fda gbg adf bb fda bbg edc gbg fda bb edc bbg dd gbb cde bb adf gbg cde gbb adf gbb fda gbb adf bbb fda bbb edc bbg fda bbg edc gbbg dd gbbg cdebbg ddb gede bbbadf bbb fda bbg adf bbg fda gbbg edc gbbg fda gbbg edc gbb dd gbb cde bbb ddf bbb cde bbg adf bbg fde gbbg adf gbbg fda gbbg edc gbb fda gbb edc bbb dd bg cde g dd cde adf fde ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#3eebe1ff b,#dbf1b5ff c,#98f4efff d,#0fe7daff e,#6bf0e8ff f,#bdf8f4ff g,#eef8dcff ``` ```image dd g dfaf b df d b df ec gg df d b df ce b df d gg df fa b df d b dc d gb dc d b dc d bg dc af b dc d b dc ec bg dc d b dc ce b dc d b dc fa b dc d b dc dgb dc db dc bbd dc bg af dc bg d dc bg ec dc b d de b ce ae b d ae gb fa ae gb d ae bb d ae bg d ae bg d ae bg af ae b d ae b ec ae gb d ae gb ce ae gb d ae bb fa ae bg d ae bg d ae b d ae b d ae b af ae gb d aa gb ec aa gb d aa bb ce aa bg d aa bg b b b gb gb gb bb bg bg b b b gb gb gb bg bg bg b b b gb gb bb bg bg bg ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#bca87dff b,#20c89eff c,#d7cab1ff d,#b1d7b1ff e,#96c996ff f,#6fd5b3ff g,#ebf0e8ff ``` ```image gg gbbb gbbf bb gbbf bf gbbf gb gbbd gg fb dbbd daaeeeeebbeeeeeeeeeeeeeeeeeeed dbbd eaaadddddbedddddddddddddddddde dbbd eadadddddfbdddddddddddddddddde fbbg aaddadddddbbddddddddddddddddde fbbg adddaadddddbfdddddddddddddddde a fbbg addddaedddddbdddddddddddddddde a fbbg cadddddadddddbbddddddddddddddde a bg aedddddaadddddbbdddddddddddddde ga aeddddddaadddddbdddddddddddddde ca gaedddddddadddddfbddddddddddddde eeeeeeeeeeeeaaeeee acedddddddaadddddbbdddddddddddde gddbbddddddddaddddd a eddddddddaadddddbfddddddddddde gdbbbbdddddddaddddd a edddddddddadddddebddddddddddde gfbddbfddddddaddddd ca edddddddddeadddddbbdddddddddde dbdddebddddddaddddd ag eddddddddddaadddddbfddddddddde gbfddddbbdddddaddddd a edddddddddddaddddddbddddddddde bfddddddbfdddaaddddd ga eddddddddddddadddddfbdddddddde bfgdddddddbdddaaddddd ac eddddddddddddaadddddbbddddddde bb gdddddddfbddadddddd a edddddddddddddaddddddbfdddddde fb gddddddddbbdadddddd ga eddddddddddddddadddddebdddddde db gdddddddddbfadddddd ca eddddddddddddddaadddddbbddddde gbg gdddddddddebadddddd ag edddddddddddddddaedddddbfdddde bd gddddddddddbbdddddd a eddddddddddddddddaddddddbdddde bf gddddddddddabfddddd ca eddddddddddddddddaadddddfbddde bb gddddddddddaebddddd ac edddddddddddddddddaadddddbbdde bb gddddddddddadfbdddd a eddddddddddddddddddaddddddbede fb gddddddddddaddbdddd ga eddddddddddddddddddaadddddfbde db gddddddddddaddddddd ca edddddddddddddddddddaadddddbbe gbg gddddddddddaddddddd ag eddddddddddddddddddddaddddddbf bd gddddddddddaddddddd a eddddddddddddddddddddeaddddddb bf gdddddddddaaddddddd ca edddddddddddddddddddddaadddddbbbb gdddddddddaaddddddd ac eddddddddddddddddddddddadddddebb gdddddddddadddddddd a edddddddddddddddddddddddadddde gdddddddddadddddddd ga edddddddddddddddddddddddaaddde geddddddddadddddddd ac eddddddddddddddddddddddddaddde gggggggggagggggggg ag edddddddddddddddddddddddddadde ga a edddddddddddddddddddddddddaade ca ca eddddddddddddddddddddddddddaae ac ac edddddddddddddddddddddddddddae ag a deeeeeeeeeeeeeeeeeeeeeeeeeeeaa a ga ac a ac ag a ag ca ga a aa ca ca ag ac ag ca ag a aa a ga ag a ac ga a a aa ga a ac ca ca ga ac ag ca ag a ac a ga a a ac ca a a ac ga ga ag ca ca ca cc ag aa ac a ag ag ca ga a ac aa a a ag ga ga ga ca ca aa cc ag ac ac a ga ag ca caa ac aa a a ga ac ag ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#bda67bff b,#1fc99fff c,#e0d5c1ff d,#a2e8d6ff e,#cdbc9bff f,#5cd7b9ff g,#e7f0e8ff ``` ```image eae bbbg aaac gbbf caaaag dbbd eaaaaa fbbg aaccaae gbbb gaag eaag dbbf caa aaa fbbd eae gaae bbbg aac caac gbbf aag eaag dbbd ae gaae fbbg ac caac gbbf ag eaag dbbf a gaae fbbd e caac gbbbg c eaag dbbf gaae fbbd caac fbbg eaag gbbf aaa dbbd gaae fbbg eaac gbbb aaa dbbf gaae fbbd caac bbbg eaag gbbf gaae dbbd caac fbbg eaag gbbb gaae dbbf caac fbbd eaag bbbg gaae gbbf caac dbbd eaag fbbg aaa gbbf gaae dbbf caac fbbd aaa bbbg gaae gbbf caac dbbd eaag fbbg gaae gbbf caac dbbd eaag fbbd gaae gbbbg caac dbbf eaag fbbd aaa fbbg caae gbbf eaag dbbd aaa fbbg gaae gbbb caac dbbf eaag fbbd gaae bbb caac gbb eaag db gaae f caac g eaag gaae caac eaag aaa gaae eaac aaa gaae caac eaag gaae caac eaag gaae caac eaa gaa ca ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. I'm ready to analyze the next area. Let's take a closer look at area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#bca77cff b,#1cc89dff c,#e7dfd0ff d,#c3f0e4ff e,#d2c5a9ff f,#80e0c8ff g,#46ceaaff ``` ```image aae dbg aac dbbbf caac gbbbbd caa gbbfgbb caa fbbf dbbg eaa fbbf fbbf eae dbbg gbbd aae dbbg dbbg aac bbbd fbbf caac bbd gbbd caa bd bbg caa f dbbf eaa fbbd eae gbb aae dbbg aac fbbf aac gbbd caa bbg caa dbbf eaa fbbdeae gbbaae dbbgac fbbgc gbbd ebbg eabbf eagbbd aaebbg aacdbbf aac fbbd caa gbbd caa dbf eaa eae aae aac aac caa caa eaa eae aae aac aac caa caa eaa eae ``` <!-- end of image --> Incredible, there's actually 1 intersection in area B! Answer: A: 0; B: 1; 0 + 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#bca67bff b,#1fc99fff c,#dfd5c1ff d,#a6e9d8ff e,#cdbc9cff f,#69dabeff g,#e9efe7ff ``` ```image gg gbbb gbbf bb gbbf bd dbbd gb dbbd gg fb dbbd aa bf dbbd aaa bg dbbd ga ag db dbbd ee ga bb fbbg ag ea bd a fbbg a ac gb a fbbg ca ga fb a bg ac ea bf ca a ac bg ee ga a db ac ae ea bb bb ag a ae bd fbbb a a ag gb db bd a ea ca fb gbg gb a ag ae bf gbd fb ca a ag bg bf bf ee ca ca db bf bg ac ac aa bb bb db ag a ac bd fb bb a a ga db db bda ee ea fb gbg gba ag ac bf bd bb a ga gbg bf cbf ca ea fb bb aeb ac ae bf bb agfb a a bg fb a b ga ca db db a ee ae bb gbg a ag ag bd bd ga a ca gb bf ca ca ae fbbb ec ac ag bb ag a ga a ga aa a ee ac a ag ga ga a ea ca ca ac ee ac ga ac a ea a ga ae a ee a a ag ca ga a ae ca ca ag ee ac ca ac a aa a ga ag a ae ga a a ea ga a ac ca ea ga ee ag ea ac a ac a ca a a ac ea a a ae ga a ag ca ee ca ee ag ae ac a ag ag ca ca a ac aa a a ac ga ga ga ca ee ea ee ag ac ac a ga ag ca eaa ac aa a a ga ee ag ``` <!-- 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,#76fbebff b,#f2a4f9ff c,#b6fcf4ff d,#b0d7b1ff e,#95ca96ff f,#ecf9f4ff g,#f8d1fcff ``` ```image c aaaf faaa aaaf caaa faaa aaaf caaa aaa aaac caaa aaa aaac caaa aaa aaac caaa aaa aaac faaa gggg feeeeeeeeeeeeeeeeeeaaaeef bbbbbbbbbbbbgg fdddddddddddddddddaaaaddf bbbbbbbbbbbbbbbbbbbbbbggg fdddddddddddddddddaaadddf gggbbbbbbbbbbbbbbbbbbbbbbbbbbggg fddddddddddddddddaaaddddf ggbbbbbbbbbbbbbbbbbbbbbbbbbbbgg fdddddddddddddddaaaaddddf gggbbbbbbbbbbbbbbbbbbbbbfdddddddddddddddaaadddddf ggbbbbbbbbbbbbbdddddddddddddaaaddddddf gbbbbbbddddddddddaaaaddddddf bbbbbbddddddddaaadddddddf fdbbbbbbdddddaaaddddddddf fdddbbbbbbddaaaaddddddddf fdddddbbbbbbaaadddddddddf fdddddddbbbbbbddddddddddf fdddddddddbbbbbbddddddddf fdddddddddaabbbbbbddddddf fddddddddaaaadbbbbbbddddf fddddddddaaaddddbbbbbbddf fdddddddaaadddddddbbbbbbf fddddddaaaadddddddddbbbbbb fddddddaaaddddddddddddbbbbbb fdddddaaadddddddddddddddbbbbbb fddddaaaadddddddddddddddf bbbbbb fddddaaaddddddddddddddddf bbbbbb fdddaaadddddddddddddddddf bbbb fddaaaadddddddddddddddddf bg fddaaaddddddddddddddddddf feaaaeeeeeeeeeeeeeeeeeeef aaaa faaa aaaf aaaa faaaa aaaaaf faaaaa aaaaaf faaaaa aaaaaf faaaaa aaaaaf faaaaa aaaaaf faaaaa f aaaaaf aaa caaaac aaa aaaaaf caaf caaaac faac aaaaaf aaa caaaac aaa aaaaa aaa caaaac aaa aaaaa caaf caaaac faac aaaaa aaa caaaac aaa aaaaa aaa caaaac aaa aaaaa caafcaaaac faaaaaaa aaaaac aaaa cac ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#74fbecff b,#f2a4f9ff c,#bcfcf5ff d,#94fbf0ff e,#c2c5f4ff f,#e1fdfaff g,#f6c7fbff ``` ```image caaaaaaf faaaaaac daaaaad caaaaaaf faaaaaac daaaaad caaaaaaf faaaaaac daaaaad caaaaaaf faaaaaac g daaaaad bbg caaaaaaf bbbbg faaaaaac bbbbbbg daaaaaa bbbbbbbbg caaaaaaf bbbbbbbbbbg aaaaaad gbbbbbbbbbbbg daaaaaa gbbbbbbbbbbbg faaaaaaf gbbbbbbbbbbbg aaaaaad gbbbbbbbbbbbg caaaaaa gbbbbbbbbbbbg faaaaaac gbbbbbbbbbbbedaaaad gbbbbbbbbbbbedaaf gbbbbbbbbbbbec gbbbbbbbbbbbg gbbbbbbbbbbbg faebbbbbbbbbbbg daaaebbbbbbbbbbbg caaaaaagbbbbbbbbbbbg faaaaaac gbbbbbbbbbbbg daaaaad gbbbbbbbbbbbg caaaaaaf gbbbbbbbbbbbg faaaaaac gbbbbbbbbbbbg daaaaad gbbbbbbbbbbb caaaaaaf gbbbbbbbbb faaaaaac gbbbbbbb daaaaaa gbbbbb faaaaaaf gbbb aaaaaad gb daaaaaa faaaaaaf aaaaaad caaaaaa faaaaaac daaaaad caaaaaaf faaaaaac daaaaad caaaaaaf faaaaaac ``` <!-- end of image --> Eureka! There's definitely 1 intersection in area A! Answer: A: 1; 1 = 1 After careful examination, I conclude that there is one intersection.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#74fbecff b,#f3a4f9ff c,#bafcf5ff d,#90fbefff e,#fceefdff f,#e4fdfaff g,#f7cafbff ``` ```image d daaf faaa aaaf daad faaa aaaf caaa aaa aaac caaa aaa aaac caaa aaa aaac caaa aaa aaad faaa gggee aaaf bbbbbbbbbbbggge daad bbbbbbbbbbbbbbbbbbbbbbgge faaa eggbbbbbbbbbbbbbbbbbbbbbbbbbbggee aaaf egggbbbbbbbbbbbbbbbbbbbbbbbbbbgge daad eeggbbbbbbbbbbbbbbbbbbbbbe faaa eggbbbbbbbbbbbbbe aaaf eebbbbbbe daad ebbbbbbe aaa ebbbbbbe aaaf ebbbbbbe caaa ebbbbbbdaa ebbbbbbc ebbbbbbe aabbbbbbe aaacebbbbbbe caaa ebbbbbbe aaa bbbbbbe aaac bbbbbbe faaa bbbbbbe aaa bbbbbbe daad bbbbbbe faaa bbbbbbe aaaf bbbb daad bg faaa aaaf daad faaa aaaf daaa faaaa daaaaf faaaad daaaaf faaaad daaaaf faaaad daaaaf faaaad daaaaf faaaad f aaaaaf aaa faaaad daa aaaaaf caaf caaaad faac aaaaa aad caaaad aaa aaaaa aaa caaaac daa aaaaa caaf caaaac faac aaaaa aad caaaac aaa aaaaa aaa caaaac daa aaaaa caafcaaaac faaaaaaa aaaaac aaaa cac ``` <!-- 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,#7fc364ff b,#bf17b7ff c,#b1d8b1ff d,#c461bfff e,#ededeaff f,#98cc93ff g,#e8aee6ff ``` ```image e aaa caa aac aaa caa aaf aaa eaae aaf aaa eaae aaa faa eaae aaa faa aac aaa caa aac aaa caa aac aaa eaa aaf aaa edbd eaae edbbbbbb aaa gdbbbbbbbbbd faa gdbbbbbbbbbde eaae gbbbbbbbbbbde aaa gbbbbbbbbbbg faa gbbbbbbbbbbg aac edbbbbbbbbbdg aaa edbbbbbbbbbdg caa gbbbbbbbbbde aac gbbbbbbde aaa ebbbg eac caa ebbbe caaaa aac ebbbe faaaaac aaa ebbbe aaaaaae caa ebbbg eaaaaaae aaf bbbg eaaaaaf aaa bbbg caaaaac cfffaaffffffffffffffffbbbdfc efaaaaaac fcccaaaccccccccccccccbbbdccf caaaaaaaae fcccaaacccccccccccccbbbdcccf efaaaaaaaac fccccaafcccccccccccbbbdccccf efaaaaaaaafe fccccaaaccccccccccbbbdcccccf caaaaaaaaae fccccaaacccccccccbbbdccccccf eaaaaaaaaac fcccccaafcccccccbbbdcccccccfefaaaaaaaafe fcccccaaaccccccbbbdccccccfaaaaaaaafe fcccccfaacccccbbbdcccfaaaaaaaaac fccccccaafcccbbbbcaaaaaaaaaae fccccccaaaccbbbbaaaaaaaafccf fccccccfaafbbbbaaaaafccccccf fcccccccaabbbbaafccccccccccf fcccccccabbbbfcccccccccccccf fcccccccbbbbcccccccccccccccf fccccccdbbbccccccccccccccccf fcccccdbbbcccccccccccccccccf fccccdbbbccccccccccccccccccf fcccdbbbcccccccccccccccccccf fccdbbbccccccccccccccccccccf fcdbbbcccccccccccccccccccccf fdbbbccccccccccccccccccccccf dbbbcccccccccccccccccccccccf gbbbccccccccccccccccccccccccf gbbbcccccccccccccccccccccccccf gbbbeeeeeeeeeeeeeeeeeeeeeeeeee gbbbe ebbbe ebbbe ebbbe ebbbe bbbg bbbg bbbg bbbg bbbg bg ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#80c264ff b,#bf17b7ff c,#a1d08dff d,#d360ceff e,#e7e9e2ff f,#c2e0b5ff g,#e49de0ff ``` ```image eaaaaae dbbbbbbg aaaaaf dbbbbbbg faaaac dbbbbbbg eaaaaae dbbbbbbg aaaaaf dbbbbbbg faaaaa dbbbbbbg eaaaaae gbbbbbbg caaaaf gbbbbbbd faaaaa gbbbbbbd eaaaaae gbbbbbbd caaaac gbbbbbbd faaaaa gbbbbbbd aaaaaf gbbbbbbd caaaac gbbbbbbd faaaaa gbbbbbbd efca aaaaaf gbbbbbbd efcaaaaa caaaac gbbbbbbd fcaaaaaaaaa eaaaaae ebbbbbbd efcaaaaaaaaaaaa aaaaaf ebbbbbbd efcaaaaaaaaaaaaaaaa faaaac ebbbbbbbcaaaaaaaaaaaaaaaaacfe eaaaaae ebbbbbbbaaaaaaaaaaaaaaacfe aaaaaf ebbbbbbbaaaaaaaaaaaaacf faaaaafcbbbbbbbaaaaaaaaaacfe eaaaaaabbbbbbbaaaaaaacfe caaaabbbbbbbaaaaacf faaabbbbbbbaacfe eaabbbbbbbfe fbbbbbbbe dbbbbbbe dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg dbbbbbbg gbbbbbbd gbbbbbbd gbbbbbbd gbbbbbbd gbbbbbbd bbbbbbd bbbbbd bbbbd ``` <!-- end of image --> Aha! I've found 1 intersection inside area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#80c364ff b,#bf17b7ff c,#afd99dff d,#d25accff e,#f2d0f0ff f,#d7eccfff g,#e295deff ``` ```image f aaa caa aac aaa faa aac aaa faa aac aaa faaf aaa caa aaf aaa caa aaf aaa caa aac aaa faa aac aaa faa aac aaa gbd faaf edbbbbbb aaa edbbbbbbbbbd aaa edbbbbbbbbbde aaf gbbbbbbbbbbg aaa gbbbbbbbbbbg caa gbbbbbbbbbbg aaf edbbbbbbbbbdg aaa edbbbbbbbbbde caa ebbbbbbbbbde aac ebbbbbbde aaa ebbbg fac caa ebbbe caaaa aac ebbbe caaaaaf aaa ebbbe aaaaaaf faa bbbe faaaaaa aac bbbe faaaaac aaa bbbe caaaaac faa bbbg caaaaaaf aaa bbbg caaaaaaaaf aaa bbbg faaaaaaaaac faaf bbbg caaaaaaaacf aaa bbbd caaaaaaaaaf caa bbbd faaaaaaaaac aaf bbbd fcaaaaaaaac aaa bbbd caaaaaaaaaf caa bbbd faaaaaaaaac aaf bbbdfcaaaaaaaac aaa bbbbaaaaaaaaf caafbbbbaaaaaf aabbbbaac abbbbf dbbb dbbb dbbb dbbb dbbb dbbb gbbb gbbb gbbb gbbb ebbb ebbb ebbb ebbbe ebbbe ebbbe bbbe bbbe bbbe bbbg bbbg bbbg bg ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. These regions highlight areas that look suspicious. Lines seem to converge within them. <!-- image --> ```palette Key,Color ,#fefefeff a,#f2a21bff b,#8d9482ff c,#dfc981ff d,#b2d7b1ff e,#eab34cff f,#efe7d5ff g,#97c696ff ``` ```image af aac faaf caaf caa eaa aaa aae aac faac faaf caa eaa eaa aaa aae aac faaf faaf caa bd eaa dbf aaa bb aae bb aae bb faac bd faaf dbf dggggggggggggggggggggggd caa bb gddddddddddddddddddddddg eaa bb gddddddddddddddddddddddg eaa bb gddddddddddddddddddddddg aaa bd gddddddddddddddddddddddg aae db bd gddddddddddddddddddddddgaac bb bg gddddddddddddddddddddddaaf bb bb gddddddddddddddddddddcaaf bb bb gdddddddddddddddddddeaag fbd bb gddddddddddddddddddeaadg db bb gdddddddddddddddddaaaddg bb bb gddddddddddddddddaaadddg bb db gdddddddddddddddaaeddddg bb db dbbdf gddddddddddddddaacdddddg fbd fbf bbbbbbbbbbdf gddddddddddddcaacddddddg db bdfbbb dgbbbbbbbbbgddddddddddcaaddddddddg bb bbbbf dgbbbbbbbbbbbbbbeedddddddddg bb bbb gdgbbbbbbbbbbbbbbbbbbbbbbgddff bg bg gddddddddaaaddgggbbbbbbbbbbbbbbbbbbbbbbgddfff fbf gdddddddaaeddddddddddddg ffddgbbbbbbbbbbbbbbbbbbbbbb gddddddaaedddddddddddddg ffddgbbbbbbbb gdddddaacddddddddddddddg gdddddacdddddddddddddddg gdddddacdddddddddddddddg gdddddacdddddddddddddddg gddddcacdddddddddddddddg gddddcacdddddddddddddddg gddddcacdddddddddddddddg gddddcaddddddddddddddddg gddddcaddddddddddddddddg gddddcaddddddddddddddddg gddddeaddddddddddddddddg gddddeaddddddddddddddddg gddddeaddddddddddddddddg dggggeaggggggggggggggggd ea ea ea ea aa aa aa aa aa aa aa aaaf aa eaaaaaef aa feaaaaac aa caaaaaac aa fcaaaaaef aa feaaaaaef aa caaaaaaaa caaaa f ``` <!-- end of image --> Let's get to the bottom of what's happening inside area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f2a21cff b,#8c9381ff c,#f9d69bff d,#c9ccc4ff e,#efb85bff f,#f4ead7ff g,#a9ad9eff ``` ```image f fa faa caaa caaaa caaaae eaaaae eaaaac feaaaac faaaaaf faaaaaf caaaaaf caaaae eaaaae eaaaae feaaaac faaaaac faaaaaf caaaaaf bggddf caaaaef bbbbbbbggddddfff caaaae bbbbbbbbbbbbbbbbbbbbggggeeeaeff dgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbggggdddddff fddgbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb fffddddggbbbbbbbbbbbbbbbbbbbbbbbbbbb faaaaaf fffddddggggbbbbbbbbbb caaaaaf fffddd caaaaef eaaaae eaaaae eaaaac eaaaac aaaaf aaac faaac faaac faaac faaac faaac faaac faaaf faaaf faaaf caaaf caaaf caaaf caaaf caaaf caaaf caaa caaa caaa caaa caaa eaaa eaaa eaaa ``` <!-- end of image --> My investigation has led me to 1 intersection in area A! Answer: A: 1; 1 = 1 I have found one intersection!
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f2a21cff b,#8c9381ff c,#f9d599ff d,#c6cac1ff e,#f3b956ff f,#f3ebdaff g,#a5aa9bff ``` ```image af aac faaf caaf eaa eaa aaa aae aae faac faaf caa eaa aaa aaa aae aac faac caaf eaa bd eaa dbf aaa gb aae bb aae bb faac bd faaf dbf caaf gb eaa bb eaa bb aaa bd aae dbf bd aac bb bg faac bb bb caaf bb bb caa fbd bb eaa db bb aaa bb gb aae bb gb aae bg dbf dbgdf faac fbd fbf bbbbbbbbbgdf faaf db bdfbbg dgbbbbbbbbgdf caaf bb bbbbd dgbbbbbbbbbbbgggeaf bb bbb dgbbbbbbbbbbbbbbbbbbbbggddff bg bg aaa fddggbbbbbbbbbbbbbbbbbbbbbggddff fbd aae ffddggbbbbbbbbbbbbbbbbbbbbbb aae ffddggbbbbbbb aac ac fac fac fac faf caf caf caf ca ca ca ea ea ea ea ea aa aa aa aa aa aa aa aa aaac aa eaaaaaef aa caaaaaac aa caaaaaac aa feaaaaaef aa feaaaaaef aa caaaaaaaa caaaa f ``` <!-- 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,#eea765ff b,#e7632aff c,#f6cbacff d,#edba88ff e,#fae7d8ff f,#97c895ff g,#b1d7b0ff ``` ```image ea cbbbbc dbbbbd e abbbbc ae ebbbbae ac cbbbbd ac dd abbbbc ad aaa eabbbae ad adaa cbbbba aa ae aa dbbbbd da ae aa eabbbbe da a aa cbbbbae ca ea aae dbbbbd ca ea dae ebbc ea ca dac cb ea da cad cb ea aa ead cb a ad eaa db a ac eaa db a ae aa ab ae ae aa ab ae a aafggggggggggbbggggggggggf ac ea aaggggggggggbbggggggggggf ac ea aagggggggggbbggggggggggf ad ca fdadgggggggbbggggggggggf ad da fgdadggggggbbggggggggggf aa aa fggdaagggggbbggggggggggf aa ad fggggaaggggbbggggggggggf da ac fgggggaagggbaggggggggggf ca ae fggggggaaggbaggggggggggf ca ae fgggggggaagbaggggggggggf ca a fggggggggaabaggggggggggf ea ea fgggggggggabaggggggggggf ea ea fggggggggggbaggggggggggf a ca fggggggggggbaadggggggggf a da fggggggggggbfdadgggggggf a aa fggggggggggbggdaaggggggf ae ad fggggggggggbggggaagggggf ae ac fggggggggggbgggggaaggggf ac ae fggggggggggbggggggaagggf ac ae fggggggggggbgggggggaaggf ac a fggggggggggbggggggggaagf ad ea fggggggggggbgggggggggaaf ad ea fgggggggggfbggggggggggaae aa ca fgggggggggdbgggggggggggaac da da gffffffffffbfffffffffffgcac da aa cb cad ca ad db eaa ca ac ebb eaa ea ae cbb aa ea a aba aa a a bbc aa aea bbe aae aca ebb aae ada cbb dac aaa aba cac aaa bbc cad aad bbe ead aac ebb eaa aae cbb aa aa aba aa aa bbc aa da bbe aae da ebb aae ca cbb dac aba dac bbc cad bbe ead ebb eaa cbb aa aba ae bbc bbe ebb cbb aba bbc bbe ebb bb c ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#f0a966ff b,#e86228ff c,#f5caa2ff d,#f2b480ff e,#fcf0e8ff f,#ec8351ff g,#f9decaff ``` ```image fbbg de fbbe ade fbbe aaae fbbe aaaag fbbe edaaag fbb edaaag bbb daaac bbb caaac bbb caaac bbb caaad ebbf gaaade ebbf gaaade ebbf gaaaae ebbf eaaaag gbbf edaaag gbba edaaag gbba daaac gbba caaac gbbd caaac cbbd caaadcbbd gaaafbbd gaafbbc gafbbd efbbfg dbbfag dbbfaag abbaaaac abbgcaaac abbg caaac fbbg caaad fbbg gaaade fbbe gaaade fbbe gaaade fbbe eaaaag fbb edaaag bbb edaaag bbb daaac bbb caaac bbb caaac ebbf caaad ebbf gaaade ebbf gaaade ebbf gaaad gbbf eaaa gbbf eda gbba ed gbba e ``` <!-- end of image --> Oh my, look at that! It's 1 intersection in area A! Answer: A: 1; 1 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#f0aa65ff b,#e86229ff c,#f5c9a8ff d,#f2b988ff e,#fbeee3ff f,#ed8a5eff g,#f8ddc6ff ``` ```image ef cbbbbc dbbbbd ee efbbbbc ag gfbbbfe ac cbbbbd ac dd abbbbc ad aaa gfbbbfg ad adaa cbbbba aa ag aa dbbbbc da ae aa efbbbbg da a aae cbbbbfe ca ea aae dbbbbd ca ga dag gbbc ga ca dac gb ga da cad cb ea aa gad cb a ad eaa db a ac eaa db ae ag aa ab ae ae aa fb ag a aae fb ag ea aae fb ac ga dag bb ad ca dac bb ad da cad bb aa aa gad bf aa ad eaa bf da ac eaa bf ca ag aa ba ca ae aa bd ga a aabd ga ea abd ea ga bfg a ca baac a da bgcac a aa be gad ae ad be gaa ag ac b eaa ag ag b aa ac ae b aa ac a eb aa ad ea eb aae aa ga gb aag aa ca gb dag da da cb cac da aa cb gad ca ad db gaa ga ac ebb eaa ga ag cbb aa ea ae fbf aa ea a bbc aa aea bbe aae aga ebb aag ada cbb dag aaa fbf cac aaa bbc cad aad bbe gaa aac ebb eaa aag cbb eaa aae fbf aa aa bbc aa da bbe aae da ebb aae ca cbb dag fbf dac bbc cad bbe gad ebb eaa cbb eaa fbf ae bbc bbe ebb cbb fbf bbc bbe ebb bb g ``` <!-- end of image -->
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I'm optimistic that I'll find some intersections in this image. There are 2 regions I'd like to highlight in the image. <!-- image --> ```palette Key,Color ,#fefefeff a,#83b1d7ff b,#dc6ef4ff c,#eceff3ff d,#5992dfff e,#dfb3f3ff f,#b0d7b1ff g,#96ca96ff ``` ```image a eda dddc ed dd da da ed cdc da dd ed dd dd cdc cd dd dd ddgggggggggggggggggggggggf cd cdfffffffffffffffffffffffg dd cddffffffffffffffffffffffg cd cfddfffffffffffffffffffffg dd cffdaffffffffffffffffffffg cd cffddffffffffffffffffffffg dd cfffddfffffffffffffffffffg cd cffffdaffffffffffffffffffg dd cffffddffffffffffffffffffg cdc cfffffddfffffffffffffffffg dd cffffffdaffffffffffffffffg cdc cffffffadffffffffffffffffg dd cfffffffddfffffffffffffffg dc cffffffffdaffffffffffffffg cffffffffadffffbfffffffffg cfffffffffddffbbbbfffffffg cffffffffffdabbffbbbfffffg cffffffffffadbfffffbbbfffg cffffffffffbddfffffffbbbfg cfffffffffbbfdaffffffffbbb cffffffffbbffadfffffffffebbe cfffffffbbffffddfffffffffgebb cffffffbbffffffdaffffffffg bbe cfffffbbfffffffadffffffffg ebb cffffbbfffffffffddfffffffg cbb cfffbbfffffffffffdaffffffg bbc cffbbffffffffffffadffffffg bbe cfbbffffffffffffffddfffffg ebb cbbffffffffffffffffdaffffg bbc bbfffffffffffffffffadffffg bbe bbfffffffffffffffffffddfffg ebb bbcffffffffffffffffffffdaffg cbb bbccffffffffffffffffffffadffg bbe bbc cfffffffffffffffffffffddfg ebb bbc cffffffffffffffffffffffdag cbb ebc cgfffffffffffffffffffffadg bbc ebe cccccccccccccccccccccccdd bbe ebe da ebb ebe edc bbc ebe dd bbe ebe da ebb ebe edc cbb ebe dd bbe cbe da ebb cbb cd cbb cbb da bbc cbb dd bbb bb cd ebe c dc be da ggggggggggbbgggg ad cffffffffffbbffff d cffffffffffbbffff da cffffffffffbbffff dd cffffffffffbbffff cd cffffffffffbbffff dc cffffffffffebffff da cffffffffffebffff ad cffffffffffebffff d cfffffffffffbffff dddc cfffffffffffbffff edddac cfffffffffffbffff addda cfffffffffffbffff addde cfffffffffffbffff cddddc cfffffffffffbffff edddafffffffffffbffff adddaffffffffeffff cfadddaffffffffff cffffddddffffffff cffffffaddddfffff cfffffffffaddffff cffffffffffffffff cffffffffffffffff cgfffffffffffffff ``` <!-- end of image --> Let's take a closer look at area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7eaae6ff b,#dc6cf4ff c,#d6e4f7ff d,#5992e0ff e,#e697f7ff f,#a7c5eeff g,#f2cafbff ``` ```image dc dd ddf dddc fddd addf cdddc fddd addf cdddc fddd adda cdddc fddd adda cdddc fddd adda cdddc fddd adda cdddf fddd adda cdddf fdddc adda dddf cdddc adda ebeg dddf bbbbbeg cdddc ebbbbbbbe adda ebbbggbbbbbe dddfebbbg ebbbbbe cdddbbbg ebbbbbg adddbg ebbbbbg edddf gebbbbbg ebbdddc gebbbbbg ebbbadda gebbbbe ebbbg dddf gbbbb ebbbg cdddc gbb ebbbg fdda g ebbbg dddf ebbbg cdddc ebbbg fdda gbbbg dddf gbbbe cdddc gbbbe fdda gbbbe addf gbbbe cdddc gbbbe fdda gbbbe addf gbbbe cdddc gbbbe fdda gbbbe addf gbbbe cdddc gbbbe fddd gbbbe addf bbbe cdddc bbe fddd bb addf b cdddc fddd adda cdddc fddd adda cdddc fddd adda cddd ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Let's inspect the next region. I'm focusing my attention on this specific region, area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#87b0e8ff b,#dd6bf5ff c,#eae7faff d,#5992e0ff e,#e48df6ff f,#b4cdf0ff g,#efbdfaff ``` ```image cbbe bbe bbe bbe bbb bbb bbb ebb ebb ebbc ebbc ebbc ebbc gbbg gbbg gbbg gbbg gbbg gbbg gbbg cbbe cbbe cbbe cbbe bbe bbe bbb bbb bbb ebb ebb fc ebbc ddaf ebbc dddddac ggg adddddddfc faddddddafc cfaddddddaf cfdddddddac cadddddddfc faddddddafc cfaddddddac cfdddddc cadd c ``` <!-- end of image --> No intersection found in area B, but I won't give up. Answer: A: 1; B: 0; 1 + 0 = 1 One intersection, that's it, but I found it.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#75a4e5ff b,#dd6cf5ff c,#d2e1f6ff d,#5891e0ff e,#e79bf7ff f,#a5c4eeff g,#f4d0fbff ``` ```image f fda dadc fd ad da da cd cdc da ad cd da da cdc cd ad da da cd cdc da ad cd da dd cdc cd ad dd dd cd cdc dd ad cd dd dd cdc cd ad dd dd d df ad bg dd bbbbg dfbb bbb fdb bbb bdd gbbb bb df gbbe bb fd gbbe bb dd ebb bb df bbg bb fd ebe bb dd gbb bb df bbg bb fd bbe bb dd gbb bb df bb bb fd bbe bb dd ebb bb df gbb bbg fd bbg ebg dd ebb ebg da gbb ebg fd bbg ebg dd ebe ebg da gbb ebg fd bbg ebe dd bbe gbe da ebb gbe cdc bb gbe dd bbg gbe da ebb gbe cd gbb gbe df bbg gbb ad ebe bb cd gbe g dc be da be fd bb d bb df bb ad eb cd eb dc eb da gb fd gb d gb dddc gb fddda b fdddf b adddf b cddddc b cddda b fdddf g adddf cadddc cddda fddc ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#cf9c74ff b,#71fc38ff c,#b2d7b1ff d,#c5ba96ff e,#92e96aff f,#eff5ecff g,#a1d19fff ``` ```image f aaf adaf affad a faa a aa ggggggagggggaagggggggggggggggggggggggggggggggggggggggggggggggggggf ccccccaccccccaadccccccccccccccccccccccccccccccccccccccccccccccccgf ccccccacccccccdadcccccccccccccccccccccccccccccccccccccccccccccccgf ccccccacccccccccaaccccccccccccccccccccccccccccccccccccccccccccccgf ccccccaccccccccccaacccccccccccccccccccccccccccccccccccccccccccccgf cccccdacccccccccccaaccccccccccccccccccccccccccccccccccccccccccccgf cccccdabcccccccccccaacccccccccccccccccccccccccccccccccccccccccccgf cccccdabbcccccccccccdadcccccccccccccccccccccccccccccccccccccccccgf cccccdacbbgccccccccccdadccccccccccccccccccccccccccccccccccccccccgf cccccdaccebgcccccccccccaacccccccccccccccccccccccccccccccccccccccgf cccccaacccebecccccccccccaaccccccccccccccccccccccccccccccccccccccgf cccccaaccccgbecccccccccccaacccccccccccccccccccccccccccccccccccccgf cccccaacccccgbbcccccccccccaaccccccccccccccccccccccccccccccccccccgf cccccaecccccccbbcccccccccccdadccccccccccccccccccccccccccccccccccgf cccccaeccccccccbbcccccccccccdaacccccccccccccccccccccccccccccccccgf cccccaecccccccccbbccccccccccccaaccccccccccccccccccccccccccccccccgf cccccaeccccccccccbbgcccccccccccaacccccccccccccccccccccccccccccccgf cccccagcccccccccccebgcccccccccccaaccccccccccccccccccccccccccccccgf cccccacccccccccccccebecccccccccccdadccccccccccccccccccccccccccccgf cccccaccccccccccccccgbecccccccccccdadcccccccccccccccccccccccccccgf cccccaccccccccccccccccbbccccccccccccaaccccccccccccccccccccccccccgf ccccgacccccccccccccccccbbccccccccccccaacccccccccccccccccccccccccgf ccccgaccccccccccccccccccbbccccccccccccaaccccccccccccccccccccccccgf cccceacccccccccccccccccccbbccccccccccccaacccccccccccccccccccccccgf cccceaccccccccccccccccccccbbgcccccccccccdadcccccccccccccccccccccgf cccceacccccccccccccccccccccebecccccccccccdaaccccccccccccccccccccgf cccceaccccccccccccccccccccccebeccccccccccccaacccccccccccccccccccgf cccceacccccccccccccccccccccccgbbccccccccccccaaccccccccccccccccccgf cccceacccccccccccccccccccccccccbbccccccccccccaacccccccccccccccccgf cccceaccccccccccccccccccccccccccbbccccccccccccaadcccccccccccccccgf ccccaacccccccccccccccccccccccccccbbccccccccccccdadccccccccccccccgf ccccaaccccccccccccccccccccccccccccbbcccccccccccccaacccccccccccccgf cccgadcccccccccccccccccccccccccccccebgccccccccccccaaccccccccccccgf ccceadccccccccccccccccccccccccccccccebeccccccccccccaacccccccccccgf ccceadcccccccccccccccccccccccccccccccgbeccccccccccccaaccccccccccgf cccbadccccccccccccccccccccccccccccccccgbbccccccccccccdadccccccccgf cccbadccccccccccccccccccccccccccccccccccbbccccccccccccdaacccccccgf cccbaccccccccccccccccccccccccccccccccccccbbcccccccccccccaaccccccgf cccbacccccccccccccccccccccccccccccccccccccbbcccccccccccccaacccccgf cccgaccccccccccccccccccccccccccccccccccccccbbgccccccccccccaaccccgf ccccacccccccccccccccccccccccccccccccccccccccebgccccccccccccaadccgf ccccaccccccccccccccccccccccccccccccccccccccccebeccccccccccccdadcgf ccccacccccccccccccccccccccccccccccccccccccccccgbecccccccccccccaagf ccccaccccccccccccccccccccccccccccccccccccccccccgbbcccccccccccccaaf ccccaccccccccccccccccccccccccccccccccccccccccccccbbcccccccccccccaa ccccacccccccccccccccccccccccccccccccccccccccccccccbbccccccccccccgaaf cccdaccccccccccccccccccccccccccccccccccccccccccccccbbcccccccccccgfdaf cccdacccccccccccccccccccccccccccccccccccccccccccccccbbgcccccccccgf fad cccdaccccccccccccccccccccccccccccccccccccccccccccccccebgccccccccgf faa cccdacccccccccccccccccccccccccccccccccccccccccccccccccebecccccccgf aa cccdaccccccccccccccccccccccccccccccccccccccccccccccccccgbeccccccgf aa cccaacccccccccccccccccccccccccccccccccccccccccccccccccccgbbcccccgf daf cccaacccccccccccccccccccccccccccccccccccccccccccccccccccccbbccccgf dad cccadccccccccccccccccccccccccccccccccccccccccccccccccccccccbbcccgf fad cccadcccccccccccccccccccccccccccccccccccccccccccccccccccccccbbccgf aa cccadccccccccccccccccccccccccccccccccccccccccccccccccccccccccbbggf aa cccadcccccccccccccccccccccccccccccccccccccccccccccccccccccccccebef aaf gggagggggggggggggggggggggggggggggggggggggggggggggggggggggggggggebe daf fffafffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffbe fad fbb faf bb bb bbf ebf ebc cbe fbe fbb bb bb bbf ebf cbc cbf f ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#d09c74ff b,#71fd37ff c,#befca4ff d,#dcb698ff e,#96f868ff f,#edf3deff g,#e9d3c0ff ``` ```image da faaa da faadf aa aaa aa gaag aa gaad aa faad faa daaf faa gaag faa gaad gaabc faaaf gaabbc daaf gaabbb daag gaafbbe aaag daa bbbf faad daa ebbb fdaaf daa cbbc aaa daa cbbc daag aaa bbbe faad aaa fbbbf aaad aaa febbf daaf aaa ebbf daag aae cbbc aaad faae cbbc faaa faae cbbe fdaaf faae bbbe daaf gaac febbf gaaa gaac ebbf gaad daag bbbc faadf daaf cbbc daag aaa fbbe gaag aaa fbbe gaad aaa ebbe aaad aaa ebbf daaf aaa cbbc daag aad bbb aaag aad cbbc gaaa aad fbbe fdaaf aag ebbe aaag aag ebbf gaaa aag ebbf gaad aag bbbc faad aaf cbbb daaf faaf fbbe daag faaf fbbe gaag caa ebbb faaa caa ebbf fdaaf eaa cbbc daaf eaa bbb gaaa baa fbbe faad bad fbbef faadf fbad fbbbf aaa cbad ebbc gaag cbad cbbc gaad cbag cbbc aaad ebag bbbe fdaaf ebag fbbef daag bbag febbf aaag bbag bbbf faaa fbeaf ebbb faadf fbeaf cbbc aaag cbeaf fbbe gaaa cbea bbb gaad ffda febef faad da bbbf daaf da ebbb daag dd cbbc gaag ad fbbe faaaf ad bbbe fdaaf ad febbf daa ad ebbf aa fag bbb f fag cbbc fag cbbc fag fbbe gaf febbf gaf ebbf gaf ebbf ga bbbc da cbbe da fbbe da fbbef da ebbb aa ebbc aa cbbc aa bbb aa fbbe aa fbbef faa ebbb faa ebbf faa cbb gaa bb ``` <!-- end of image --> The lines cross each other within area A, forming 1 intersection. Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#d09c74ff b,#71fd37ff c,#c5fcadff d,#ddb599ff e,#9af56bff f,#eff4e1ff g,#ead3c2ff ``` ```image g aaf adag afgad a faa a aa a aa a daf a gag a fad fa aa fa aa gab aaf gabb dag ga ebf gad da ebc faa da cbc aa aa fbe aa aa fbb daf ae bb gag ae bb fad ae bb aa ac ebf aa ac ebc aaf af cbc dag a fbe gad a fbb faa fa bb aa ca bb aa ca bbf daf ea ebf gag ea ebc fad ba cbe aa ea fbe aa ea bb aa ea bb daf aa bb gad ad bbf fad fad ebf aa cad cbc aa eag cbe daf eag fbe dag bag bb gad baf bb faa baf bb aa fa bbf aa a ebf daf a cbc gag a cbe fad a fbe aa a bb aa fa bb aaf fa bb dag ga ebf gad ga ebc faa ga cbc aa da fbe aa dd fbb daf ad bb gag ad bb fad ag bb aa ag ebf aa ag ebc aaf af cbc dag af fbe gad fbb faf bb bb bb ebf ebc cbe fbe bb bb bb bbf ebf cbc cbc f ``` <!-- end of image -->
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This image might have some surprises. Let's look for intersections carefully. These areas seem to enclose narrow spaces where lines might be close. <!-- image --> ```palette Key,Color ,#fefefeff a,#90cab9ff b,#79c230ff c,#b2d8b2ff d,#98cc92ff e,#eef6efff f,#a6d2a7ff g,#91cc62ff ``` ```image dcccccccccccccccccccccc dcccccccccccccccccccccc dcccccccccccccccccccccc dcccccccccccccccccdcccc dccccccccccccccccgbcccc dcccccccccccccccgbccccc dccccccccccccccgbcccccc dcccccccccccccbbccccccc dccccccccccccbgcccacccc dcccccccccccbgcccaacccc dccccccccccbgccccaccccc dcccccccccbdccccfaccccc dccccccccbdcccccacccccc dcccccccbfcccccfacccccc dccccccbfccccccaccccccc dccccfbfccccccfaccccccc dcccfbccccccccacccccccc dccfbccccccccfacccccccc dcdbcccccccccaccccccccc ddbcccccccccfaccccccccc gbccccccccccacccccccccc dbfffffffffffaffffffffff ggeeeeeeeeeeeaeeeeeeeeeee gg ec gg a cb ec b a be ec gc a cg ea eb a b ea bc a cg ea eb a b ea be a ae dg ea ae eb a ac b ea ac be a ca gd ea ca eb a ea b ea ea be a ae gf a dddbdddddddddadddddddddddddddddddddddddddddgb a cccfbcccccccccafcccccccccccccccccccccccccccbe a ccccbccccccccccaacccccccccccccccccccccccccbfe ae ccccdgccccccccccaacccccccccccccccccccccccbdfe a cccccbcccccccccccaacccccccccccccccccccccdbcfe ae cccccggcccccccccccaacccccccccccccccccccfbccfe a ccccccbccccccccccccfaccccccccccccccccccbcccfe ae ccccccgdcccccccccccccaccccccccccccccccbdcccfe a cccccccbccccccccccccccaccccccccccccccgbccccfe ae cccccccbdccccccccccccccaccccccccccccfbcccccfe a ccccccccbcccccccccccccccafccccccccccbccccccfe ae ccccccccbfcccccccccccccccaaccccccccbdccccccfe a cccccccccbccccccccccccccccaaccccccggcccccccfe ae cccccccccbcccccccccccccccccaaccccfbccccccccfe a cccccccccfbcccccccccccccccccaacccbcccccccccfe ae ccccccccccbccccccccccccccccccfacggcccccccccfe a ccccccccccdgcccccccccccccccccccabccccccccccfe ae cccccccccccbcccccccccccccccccccbaaaaaafffccfe a cccccccccccggcccccccccccccccccfbccccccffaaaaaaaaaaaaaaae ccccccccccccbcccccccccccccccccbccccccccccccfe ccccccccccccgdcccccccccccccccggccccccccccccfe cccccccccccccbcccccccccccccccbcccccccccccccfe cccccccccccccbdcccccccccccccbfcccccccccccccfe ccccccccccccccbccccccccccccfbccccccccccccccfe ccccccccccccccbfcccccccccccbcccccccccccccccfe ccccccccccccccfbccccccccccggcccccccccccccccfe cccccccccccccccbccccccccccbccccccccccccccccfe cccccccccccccccfbccccccccbfccccccccccccccccfe ccccccccccccccccbcccccccdbcccccccccccccccccfe ccccccccccccccccdgccccccbccccccccccccccccccfe cccccccccccccccccbcccccggccccccccccccccccccfe cccccccccccccccccggccccbcccccccccccccccccccfe ffffffffffffffffffbfffbdffffffffffffffffffffe eeeeeeeeeeeeeeeeeegcecgeeeeeeeeeeeeeeeeeeeee b b ggc b ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#8ec9b9ff b,#78c12cff c,#cae6acff d,#abd87cff e,#e3f2e1ff f,#b4dbd1ff g,#8ecb4fff ``` ```image ebb faae dbc faae e ebg eaae g dbc eaae db ebg eaaf cbg gbe eaaf ebbe cbd aaf gbc gbe faf dbd cbd faa cbg gbe faae ebbe cbd faae gbc bb eaae dbd dbc eaae cbg ebb eaaf ebbe dbc eaaf gbc ebg aaf gbd dbc faf cbg ebg faa ebbe gbe faae ebbc cbd faae gbc gbe eaae dbg cbd eaae cbg gbe eaaf ebbe cbd eaaf gbc bb aaf dbd dbc faf cbg ebb faa ebbe dbc faae dbc ebg faae ebg dbc eaae gbe ebg eaae cbd gbe eaafebbe cbd eaaabc gbe aaa cbd gaaaaaaafffffffeeeeee gbe cbdfaaaaaaaaaaaaaaaaaaaaa cbd ebbe eeeeeeefffffff bb dbc dbc cbg ebg gbe dbc dbd ebg ebb dbc gbc ebg cbg gbe gbe cbd dbd gbe ebb cbd gbc gbe cbg cbd bbe bb dbd dbc ebg ebg gbc dbc cbg ebg bbe dbc dbd ebg ebg gbe gbc cbd cbd gbe ebbe cbd dbc gbe ebg cbd gbc bb cbd dbc ebbe ``` <!-- end of image --> I observe 1 intersection inside 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,#8fcabaff b,#78c12cff c,#c5e4a4ff d,#a6d674ff e,#e1f1d6ff f,#bfe1d8ff g,#8cca4bff ``` ```image e cbd cbbe cbbe dbge dbge dbge dbg gbg gbd af egbd faf egbd aa egbd faf ebbc aa ebbc faf ebbc aa cbbc faf cbbe aa cbbe faf cbbe aa dbge faf dbge aa dbge faf dbg aa gbg faf gbd aa egbd faf egbd aa egbd eaf ebbc aa ebbc eaf ebbc aa cbbc eaf cbbe aa cbbe eaf bbe aa ge eaf ``` <!-- end of image --> After careful examination, I've determined that there's no intersection in area B. Answer: A: 1; B: 0; 1 + 0 = 1 My investigation reveals that there is exactly one intersection in this image.
1
<!-- image --> ```palette Key,Color ,#fefefeff a,#8fcabbff b,#77c12cff c,#c9e6abff d,#aad87bff e,#e4f2e5ff f,#b8ddd3ff g,#8ccb4dff ``` ```image c cb dg dg gg gd a gd ff bc a bc ff be a be ff be a b ef eb a eb ef eb a cb ef cb a dg ef dg a gg ef gd a cg ef b a b ef gc a cg ea b a b ea gc a cg ea eb a b ea be a ae dd ea ae eb a af b a af be a fa dd a fa eb a ea b a ea be a a gc a b ae cg a eg ae b a b af b a cd af gc a b fa cg a cd fa b a b ea b a dc ea gc a b a cg ae ge ae eb a b ae b ae ge af be a b af dd ae b fa eb a eg fa b ae b ea cd a cd eab ae b gaaaffffeee a cd eb eeeffffaaaaaaaaaaaae b b dc dd b b ge ge b eb ge b b dd b b eg be b eg cd b b dc cd b b be dc eg b b ggc b ``` <!-- end of image -->
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This is the image I'm working with. The goal is to count the intersections. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#5d89d8ff b,#b5e2f8ff c,#2657edff d,#b1d7b1ff e,#6fd2edff f,#95ca96ff g,#91cdc8ff ``` ```image b b e e b b e e bbeb e b eb e b ee b b beb b b eb e b ee e b beb b dfffffffffffffgffffffffaafffffffegffffffffffffffffffffffffffffffffffff e fdddddddddddddgddddddddcagddddddddeedddddddddddddddddddddddddddddddddd e fdddddddddddddgddddddddcdagdddddddddgegddddddddddddddddddddddddddddddd b fdddddddddddddgddddddddcddagddddddddddgegddddddddddddddddddddddddddddd e fdddddddddddddgddddddddadddagddddddddddddeeddddddddddddddddddddddddddd b fdddddddddddddgdddddddadddddcgdddddddddddddggddddddddddddddddddddddddd e fdddddddddddddgdddddddcddddddcgdddddddddddddeddddddddddddddddddddddddd b fdddddddddddddgdddddddcdddddddcgddddddddddddggdddddddddddddddddddddddd e fdddddddddddddgdddddddcddddddddcgddddddddddddedddddddddddddddddddddddd b fdddddddddddddgdddddddadddddddddcgdddddddddddgdddddddddddddddddddddddd e fdddddddddddddgddddddggddddddddddcgdddddddddddeddddddddddddddddddddddd e fdddddddddddddgddddddaddddddddddddcgddddddddddgddddddddddddddddddddddd b fdddddddddddddgddddddcdddddddddddddcgddddddddddedddddddddddddddddddddd e fdddddddddddddgddddddcddddddddddddddcddddddddddgdddddddddddddddddddddd b fdddddddddddddgddddddcdddddddddddddddcddddddddddeddddddddddddddddddddd e fdddddddddddddgddddddaddddddddddddddddcdddddddddgddddddddddddddddddddd b fdddddddddddddgdddddaddddddddddddddddddcdddddddddedddddddddddddddddddd e fdddddddddddddddddddcdddddddddddddddddddcddddddddedddddddddddddddddddd b fddddddddddddgddddddcddddddddddddddddddddcddddddddeddddddddddddddddddd e fddddddddddddgddddddcdddddddddddddddddddddcdddddddeddddddddddddddddddd e fddddddddddddgddddddaddddddddddddddddddddddcdddddddedddddddddddddddddd bfddddddddddddgdddddggdddddddddddddddddddddddcddddddedddddddddddddddddd efddddddddddddgdddddadddddddddddddddddddddddddcddddddeddddddddddddddddd gddddddddddddgdddddcddddddddddddddddddddddddddcdddddeddddddddddddddddd eddddddddddddgdddddcdddddddddddddddddddddddddddcdddddedddddddddddddddd ggdddddddddddgdddddcddddddddddddddddddddddddddddcddddedddddddddddddddd fedddddddddddgdddddadddddddddddddddddddddddddddddcddddgddddddddddddddd fgdddddddddddgddddadddddddddddddddddddddddddddddddcdddeddddddddddddddd bb fdeddddddddddgddddaddddddddddddddddddddddddddddddddcdddgdddddddddddddd c fdeddddddddddgddddcdddddddddddddddddddddddddddddddddcddedddddddddddddd c fddedddddddddgddddcddddddddddddddddddddddddddddddddddcddgddddddddddddd ba fddedddddddddgddddadddddddddddddddddddddddddddddddddddcdeddddddddddddd a fdddgddddddddgdddggddddddddddddddddddddddddddddddddddddcdgdddddddddddd c fdddeddddddddgdddaddddddddddddddddddddddddddddddddddddddcedddddddddddd a fdddggdddddddgdddcdddddddddddddddddddddddddddddddddddddddcgddddddddddd eb fddddedddddddgdddcddddddddddddddddddddddddddddddddddddddddeddddddddddd c fddddgdddddddgdddcddddddddddddddddddddddddddddddddddddddddgcdddddddddd c fdddddeddddddgdddadddddddddddddddddddddddddddddddddddddddddecddddddddd bb fdddddeddddddgddgddddddddddddddddddddddddddddddddddddddddddggcdddddddd c fddddddedddddgddadddddddddddddddddddddddddddddddddddddddddddedcddddddd c fddddddedddddgddcdddddddddddddddddddddddddddddddddddddddddddgddcdddddd ba fdddddddgddddgddcddddddddddddddddddddddddddddddddddddddddddddeddcddddd a fdddddddeddddgddaddddddddddddddddddddddddddddddddddddddddddddgdddcdddd c fdddddddggdddgdggdddddddddddddddddddddddddddddddddddddddddddddeddddddd a fddddddddedddgdaddddddddddddddddddddddddddddddddddddddddddddddgddddddd ebfddddddddgdddgdcdddddddddddddddddddddddddddddddddddddddddddddddedddddd cfdddddddddeddgdcdddddddddddddddddddddddddddddddddddddddddddddddedddddd cdddddddddeddgdcddddddddddddddddddddddddddddddddddddddddddddddddeddddd aadddddddddedgdaddddddddddddddddddddddddddddddddddddddddddddddddeddddd fcdddddddddedggddddddddddddddddddddddddddddddddddddddddddddddddddedddd fdcdddddddddggaddddddddddddddddddddddddddddddddddddddddddddddddddgdddd fdgaddddddddegcddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddaddddddddgecddddddddddddddddddddddddddddddddddddddddddddddddddddddd fdddcddddddddeaddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddcdddddddggddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddagddddddadddddddddddddddddddddddddddddddddddddddddddddddddddddddd fdddddcddddddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddddcdddddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddddgaddddcdddddddddddddddddddddddddddddddddddddddddddddddddddddddd fdddddddcddddadddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddddddcddggdddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddddddgadaddddddddddddddddddddddddddddddddddddddddddddddddddddddddd fdddddddddadcddddddddddddddddddddddddddddddddddddddddddddddddddddddddd fddddddddddccddddddddddddddddddddddddddddddddddddddddddddddddddddddddd a ``` <!-- end of image --> I'm eager to see what's happening in this magnified view of area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7a97f6ff b,#a5e4f6ff c,#2353f2ff d,#d4e9fbff e,#6dd3f2ff f,#acbef9ff g,#4c74f4ff ``` ```image e ac dbebd e gcf beeb e dcfacf beeb e fcd gcf bebd e ac gcf eeed e ag gc dbeb e cf cd deed e dcd gcd deeb e fc gcd bed e ag gc ee e ca cd ee e cf gcd de e cd gcd e e c gc dd e a dcd ed e f gcd eb e dd dgcd ded e f dgc eb e g dgd eb e c cgd be e dc dcgd e de fc dcg b de ag dgd e de ga cg eb de cf dcg be de dcd dcg eb de fc dc be de gg cg be de ca dcg de de dcf dcg b de fcd dc dd de ag cg ed de ga fcg ee de cf fcg ded de cd fcg ee de g fa eb de g ca de b de a fca e e de df fca dd be de f fa ed de de a ca eb e de g fca be d de c fca eb e de fc fa eb eb de ac ca be be de gg aca e ded de ca aca b ded de fcd af e eb de fc cf eb de de ag acf be e de ga acfded b de dcd afded e de fc cfbe ed de ac acfe be de gg ace eb de cf ae ded be cd ef eb be c eef be be g degf b be f deaf dd be df ebcd e be f degcd ed be a e gcd ded be c b gc eb be c e gd be be dc eb cd eb be fc be gcd ed be ga be gc be be cf eb dg de be dcf be e be fcd eb b be gg e e be ca b eb be cf dd be bedcd e cd be beag be cg ded bega ded fc ee becf be ad de becf ded g e becd ee acd b beg b gg e bea dca ebbef fc bebed dg eee cf dee acd ee gg dc ac ac g gg da ga cf cf dcg fc fcf ag acd ga gg ca ad fcd g ac ca ag fcf ga dcgcd fcc ``` <!-- end of image --> 1 intersection present within area A. Answer: A: 1; 1 = 1 It was tricky, but I finally found one single intersection in the image.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#7a97f6ff b,#a8e5f7ff c,#2253f2ff d,#d5edfbff e,#70d5f2ff f,#aec0f9ff g,#4a73f4ff ``` ```image b dd b e e b d e e bbed e b deb e b ee d b bed b b deb e b ee e b bed b b af deb e d caf ee e d c gf bed b d g gf deb e d f gf ee dd d f gd bd e d g gd e dd d c gd dd e d c gd e b d a gd dd e d dd gd e e d a gd bd b dd c cd e e dd c cd b b dd g cd e e dd f c b dd dd f c e e dd g c b b dd c c e e dd c c b e dd a c e b dd dd c e e dd a c b b d c c e e d c c b dd d g c e e d f c b d b d f c e ff e d g c b g b d c c e c b d c c b da e d a c e gd b d df cdd c e d a ce g dd b c gd ad e b c e c b b g dg c e b f ec ff b b fd ddc g b b g e c c e b c b c da b b c e c gd e b a b c c dd b df e g e b a b ad b b c e c e b c b c b b g e ff e b f b g e bfd e c bbg b da ebc gd dec c ea g df ad a c g c c ff g g a c fd da a gdc cc a ``` <!-- end of image -->
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Based on a first glance, I suspect there could be intersection regions here. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#f02292ff b,#c8e4d5ff c,#f8a3d1ff d,#b0d7b3ff e,#f0f3efff f,#df6fa7ff g,#a3cea2ff ``` ```image b dd dd dd db edb bde bd dd dd dd db edb bde bd dd dd dd edb edb bde bd dd dd ae dd fa edb ea ede ac bde fa bd ea dd ac dd fa dd a eeeeeeeeeeeeeeeeeeeeeeeeeee edb af eggggggggggggggggggggggggggge ede ca egdddddddddddddddddddddddddge bde ae egdddddddddddddddddddddddddgebd af egdddddddddddddddddddddddddgdd ca egddddddddddddddddddddddddddd ae egdddddddddddddddddddddddddde af egdddddddddddddddddddddddddge ca egdddddddddddddddddddddddddge ae egdddddddddddddddddddddddddge aa egdddddddddddddddddddddddddge ca egdddddddddddddddddddddddddge ae egdddddddddddddddddddddddddge aa egdddddddddddddddddddddddddge ea egdddddddddddddddddddddddddge ac egdddddddddddddddddddddddddge eecccffaaaaaaaaaaaa egdddddddddddddddddgffffaaaaaaaaaaaaaaaaaffcccee ecffffaaaaaaaaaaaaaaaaaaffffge aaaaaaaaaaaaaaffffgddddddddddddddddddge ee egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge egdddddddddddddddddddddddddge eddddddddddddddddddddddddddge dgdddddddddddddddddddddddddge edgdddddddddddddddddddddddddge degdddddddddddddddddddddddddge bdegdddddddddddddddddddddddddge d egdddddddddddddddddddddddddge dd eggggggggggggggggggggggggggge d db ed de bd de bd d db ed db ed de ``` <!-- end of image --> Let's zoom in on area A to get a clearer view. <!-- image --> ```palette Key,Color ,#fefefeff a,#f11d91ff b,#c7e4d4ff c,#f681c1ff d,#a6d5bbff e,#eaf0edff f,#ed4aa4ff g,#fab6dbff ``` ```image e bd bdd bddd dddb edddb edddb eddde bddde bddde bddb dddb edddb edddb eddde bddde bddde bddb dddb edddb eddde eddde bddde e bddde eegggggccccffffaaaaa eegggggccccfffffaaaaaaaaaaaaaaaaaaaaaaa gggcccccffffaaaaaaaaaaaaaaaaaaaaaaaaaaaaaffffcccccgggg aaaaaaaaaaaaaaaaaaaaaaffffffcccgggggee aaaaffffccccgggggee eddde eddde bddde bddd bddb dddb edddb eddde eddde bddde bddd bddb dddb edddb eddde eddde bddde bddd bddb edddb dddb dde db d e ``` <!-- end of image --> Wow! I can see 1 intersection so clearly in area A! Answer: A: 1; 1 = 1 There's one and only one intersection present in the image.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#f11e92ff b,#c7e4d4ff c,#f787c4ff d,#a5d5bbff e,#edefeeff f,#f351aaff g,#fabddfff ``` ```image b dd dd dd db edb bde bd dd dd dd db edb bde bd dd dd dd db ede bde bd dd dd ae dd fa db ea ede ac bde fa bd ea dd ac dd ca dd a edb ac ede ca bde a bd af dd ca dd ae db af edb ga ede ae bde af dd ga dd ag dd ff db ga edb ag ede egggccffaaaaaaaaaaa bde eggccffaaaaaaaaaaaaaaaffcccgge eggccfffaaaaaaaaaaaaaaaffccgge aaaaaaaaaaaaaffccgge dd ge dd db edb ede bd dd dd dd db edb db ed de bd d dd d db ed de bd de bd d db ed db ed de ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. Could these regions be concealing intersection points? Let's find out. <!-- image --> ```palette Key,Color ,#fefefeff a,#fc4711ff b,#14e96cff c,#fec7b8ff d,#b0d9b2ff e,#eb885fff f,#5aed96ff g,#9ec593ff ``` ```image dddddddddddddddddg dddddddddddddddddg dddddgeddddddddddg ddddeaaaaaaegddddg ddddaaaaaaaaaaaaae dddbgaaaaaaaaaaaaaaaaaec ddbbbeaedgeaaaaaaaaaaaaaaaaec ddbbbbegddddddgeaaaaaaaaaaaaaaaaaec dddbbbbgdddddddddg ceaaaaaaaaaaaaaaaaec ddddbbbbdddddddddg eaaaaaaaaaaaaaaaac ddddabbbbddddddddg ceaaaaaaaaaaa ddddaabbbbdddddddg ceaaaaaaa dddgaaebbbbddddddg caaae dddeaaafbbbbdddddg eaaac dddeaaadfbbbbddddg aaaa dddaaaeddfbbbbdddg aaaa dddaaaedddfbbbbddg caaae dddaaaeddddbbbbbdg aaaa dddaaagdddddbbbbbg aaaa dddaaadddddddbbbbb aaaa dddaaaddddddddbbbbf eaaac gggaaagggggggggbbbbf aaaa aaa bbbbf aaaa caaa bbbbd caaae eaaa bbbbd aaaac eaaa bbbbd aaaa aaae bbbb aaaa aaae bbbb eaaae aaac bbbb aaaa aaa dbbbb aaaa aaa dbbbb caaaa dbbbb eaaac fbbbb aaaa fbbbb aaaa fbbbb caaae bbbbb aaaac bbbbf aaaa bbbbf aaaa bbbbf eaaac bbbbf aaaa bbbbd aaaa bbbbd caaae bbbbd eaaac bbbb aaaa bbbb aaaa bbbb caaae dbbbb aaaa dbbbb aaaa dbbbb caaaa fbbbb eaaac fbbbbd aaaa dbbbbd aaaa bbbbf caaae bbbbf aaaac bbbbb aaaa bbbbb aaaa bbbbb eaaae fbbbb aaaa fbbbb gdddaaaadddddddd dbbbbd ddddgaaaaddddddd dbbbbd dddddeaaagdddddd bbbbf ddddddaaaadddddd bbbbb dddddddaaaaddddd bbbbb dddddddeaaaedddd bbbbb ddddddddaaaagddd bbbbb dddddddddaaaaddd fbbbb dddddddddgaaaadd fbbbf ddddddddddeaaddd bbbbd dddddddddddedddd bbbbd dddddddddddddddd bbbb dddddddddddddddd bbbb dddddddddddddddd dbbbb ddddddddddfbfddd dbbbbddddddddddbbbbdd fbbbbggggggggbbbbggg bbbbf fbbbd bbbbd bbbf bbbb bbbb bbbb bbbb bbbbdbbbf dbbbbbbb fbbbbb bbbbd bbf ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#fc4610ff b,#14e96cff c,#fdbca9ff d,#b3f6ceff e,#fc7851ff f,#5df09aff g,#ae7c2eff ``` ```image cccc eaaaaaaecc caaaaaaaaaaaaeecc eaaaaaaaaaaaaaaaaaaecc eaaaaaaaaaaaaaaaaaaaaaaae ffaaaaaaaaaaaaaaaaaaaaaaaaa fbbgaaaaaaaaaaaaaaaaaaaaaaaa fbbbbgaaaaeeaaaaaaaaaaaaaaaaa fbbbbbbgaaac cceeaaaaaaaaaaa dbbbbbbbbgaac cceeaaaaaa fbbbbbbbbgac ccee fbbbbbbbbg fbbbbbbbbd fbbbbbbbbd bbbbbbbbb ebbbbbbbbb aabbbbbbbbb aaabbbbbbbbf aaagbbbbbbbbf caaaagbbbbbbbbf caaaaagbbbbbbbbf caaaaaadbbbbbbbbf caaaaaa dbbbbbbbbf eaaaaaa dbbbbbbbbf eaaaaaa dbbbbbbbbd eaaaaae fbbbbbbbbd eaaaaae fbbbbbbbbd aaaaaae fbbbbbbbbd aaaaaac fbbbbbbbbd aaaaaac fbbbbbbbbd caaaaaac fbbbbbbbbd caaaaaac fbbbbbbbb caaaaaa bbbbbbbbb caaaaaa bbbbbbbb eaaaaaa bbbbbbb eaaaaaa dbbbbbb eaaaaae dbbbbb eaaaaae dbbbb ``` <!-- end of image --> Amazing! This area was hiding 1 intersection all along! Hmm, interesting. Let's check out another area. I'm determined to find out if an intersection exists in area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#fd4610ff b,#1cea71ff c,#feb8a3ff d,#adf7cbff e,#fd6538ff f,#fd8e6eff g,#feded4ff ``` ```image gaaaaaaae caaaaaaaf faaaaaaac eaaaaaaag gaaaaaaae caaaaaaaf eaaaaaaac gaaaaaaaag caaaaaaae faaaaaaac eaaaaaaag gaaaaaaae caaaaaaaf faaaaaaac eaaaaaaag gaaaaaaae faaaaaaaf eaaaaaaag gaaaaaaae caaaaaac faaaeg eaf gc bbd dbbbd d dbbbbbbd b bbbbbbbb ``` <!-- end of image --> Unfortunately, there's no intersection inside area B. Answer: A: 1; B: 0; 1 + 0 = 1 The final count is: one intersection.
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<!-- image --> ```palette Key,Color ,#fefefeff a,#fc4711ff b,#14ea6cff c,#fdb5a0ff d,#a0f6c4ff e,#f4794eff f,#51ef92ff g,#edeee0ff ``` ```image cc caaaaaaeg eaaaaaaaaaaaec beaaaaaaaaaaaaaaaaaeg bbbeac ceaaaaaaaaaaaaaaaaec bbbbeg gceaaaaaaaaaaaaaaaacg bbbbg ceaaaaaaaaaaaaaaaaec bbbbg gcaaaaaaaaaaaaaaaac abbbbg ceaaaaaaaaaaa gaabbbb gcaaaaaaa caaebbbb caaae caaadbbbb eaaac eaaa dbbbb aaaa eaae fbbbb aaaa aaac fbbbb caaae aaac fbbbb aaaag aaag fbbbb aaaa aaa bbbbf gaaaa aaa bbbbf eaaac aaa bbbbf aaaa gaaa bbbbd aaaa caaa bbbbd caaae caaa bbbbd eaaag eaaa bbbbg aaaa eaae bbbbg gaaaa aaac gbbbbg caaac aaac gbbbb aaaag aaag dbbbb aaaa aaa dbbbb gaaae dbbbb eaaac fbbbb aaaa fbbbb aaaa fbbbb caaae fbbbb aaaag bbbbf aaaa bbbbf gaaaa bbbbf eaaac bbbbd aaaa bbbbd aaaa bbbbd caaae bbbbg eaaag bbbbg aaaa gbbbbg aaaa gbbbb caaae dbbbb aaaag dbbbb aaaa dbbbb gaaaa fbbbbg eaaac dbbbbd aaaa dbbbbd aaaa gbbbbf caaae bbbbf eaaag bbbbb aaaa bbbbb gaaaa bbbbb caaac fbbbb aaaa fbbbbg aaaa dbbbbd gaaae dbbbbd eaaac gbbbbf aaaa bbbbf aaaa bbbbb caaae bbbbb aaaag bbbbb aaaa fbbbb gaaaa fbbbf eae bbbbd c bbbbg bbbb gbbbb g dbbbb dbf dbbbb bbbb fbbbf bbbb bbbbd fbbbd bbbbd gbbbf bbbbg bbbb bbbb bbbbg gbbbbdbbbf dbbbbbbb fbbbbb bbbbd bbf ``` <!-- 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,#79a3a4ff b,#a01f9bff c,#43798bff d,#b2d7b2ff e,#ae6aacff f,#9fcba1ff g,#ecf0eeff ``` ```image ffffffffffffffffffffffffffffff fddddddddddddddddddddddddddddd fddddddddddddddddddddddddddddd fddddddddddddddddddddddddfdddd fddddddddddddddddddddddddcdddd fddddddddddddddddddddddddcdddd fdddddddddddddddddddddddfadddd fdddddddddddddddddddddddcddddd fdddddddddddddddddddddddcddddd fdddddddddddddddddddddddcddddd fddddddddddddddddddddddfaddddd fddddddddddddddddddddddadddddd fddddddddddddddddddddddcdddddd fddddddddddddddddddddddcdbdddd fddddddddddddddddddddddabddddd fdddddddedddddddddddddabdddddd fdddddddbbfdddddddddddcddddddd fdddddddbdebdddddddddbcddddddd fdddddddbdddbfdddddfbdaddddddd fdddddddbddddebdddfbdadddddddd fdddddddbddddddbfebddcdddddddd fdddddddbdddddddeedddcdddddddd fdddddddbddddddddddddadddddddd fdddddddbdddddddddddafdddddddd fdddddddbdddddddddddcddddddddd fdddddddbdddddddddddcddddddddd fdddddddbdddddddddddcddddddddd fdddddddbddddddddddafddddddddd fdddddddbddddddddddcdddddddddd fdddddddbddddddddddcdddddddddd fdddddddbdddddddddcddddddddddd fdddddddbdddddddddcddddddddddd fdddddddbddddddddafddddddddddd fdddddddeddddddddcdddddddddddd fdddddddedddddddfadddddddddddd fffffffbffffffffcfffffffffffff gggggbgggggggggaggggggggggggg b c c b c cg b a gdc b c gddd b fg dg c b c f ga gb gd a c gb c a ga gb ga c c gb c c c gb c c ag gb ag c c gb c c ffaaffffffffffffffffffff gb dg c fddcdddddddddddddddddddfg gb c a fddaaddddddddddddddddddfg ge gd a fdddcddddddddddddddddddfg de c f fdddfadddddddddddddddddfg ee a gd fddddcdddddddddddddddddfg ee c dg fdddddcddddddddddddddddfg ebg c dg fdddddcddddddddddddddddfg eb ag a fddddddcdddddddddddddddfg bb c a fddddddcdddddddddddddddfg bb dd c fdddddddcddddddddddddddfbe c fdddddddafddddddddddddbbg gf fddddddddcddddddddddbedfg c fddddddddaaddddddfbedddfg a fdddddddddcddddfbedddddfg a fdddddddddfadfbedddddddfg c fddddddddddcbedddddddddfg ag fddddddddebecfdddddddddfg c fddddddebedddacadddddddfg dd fddddebedddddddacadddddfg c fddebfdddddddddddfcadddfg ga febfdddddddddddddddfcadfg c ebfdddddddddddddddddddfccg a ebgfddddddddddddddddddddddfca a ebg fddddddddddddddddddddddfg cc c eg fddddddddddddddddddddddfg acg fg fddddddddddddddddddddddfg acg c fddddddddddddddddddddddfg acg gd fddddddddddddddddddddddfg dcd c fddddddddddddddddddddddfg dcd ga fddddddddddddddddddddddfg dcf c fddddddddddddddddddddddfg gca c fddddddddddddddddddddddfg gc ffffffffffffffffffffffffg ggggggggggggggggggggggg ``` <!-- end of image --> This close-up of area A is like examining a piece of evidence. <!-- image --> ```palette Key,Color ,#fefefeff a,#6b95a4ff b,#a11d9dff c,#42768bff d,#9ebac3ff e,#bb5cb8ff f,#d094cfff g,#dddae7ff ``` ```image gca dcg ca dcg ca dcd ac gcd ac gcd acg gcd dcg ca dcg ca dcg ac gcd ac gcd acg gcd f dcg fbb ca fbbeg dcg fbbeg ca gebbeg dcg gebbeg aa gebbeg gcd gebbeg ac gebbf gcd gebbf acggebbf gccbbf geccf febbfccag fbbbf dccag fbbbf dccag fbbbf dccad fbbef daccd fbbeg gaccd fbbeg gaccd fbbeg gaccdg fbbeg gaccdg fbbeg gdccag bbeg gdcc eg d ``` <!-- end of image --> Bingo! This close-up reveals 1 intersection in area A! Right then, let's explore the next spot. Let's put area B under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#7a9dadff b,#a11e9dff c,#43788bff d,#afc5ceff e,#ba5ab7ff f,#d8a4d7ff g,#e6dbebff ``` ```image cd gcd dc ac ca gcd dcg ac ca gcd dcg ac ca gcd dcg ac ca gcd dcg g ac gbf ca gbbg cdfbbg dcfbe fg acbe gbbf cce gbbbeg eca gbffbbf ebcd gbf gebeg ebac gbf fbbf gebfaa gbf ebbg gbbf ca gbf fbbe gbbg gcd gbf ebbg gbbg dc gbg fbbe fbbg ac fbg ebbg fbeg ca fbg gbbebe gcd fbg ebe dcg fbg g ac fbg ca fbg gcd fbg dcg fbg ac fb ca fb gcd fb dcg fb ac fb ca eb gcd eb dcg eb ac eb ca eb dcg eb ca eb dcd eb ac ee gcd ee ac ee gca ee dcg ee ca ee dcg be ca be dcd fbe ac fbe gcd ``` <!-- end of image --> My analysis confirms the presence of 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,#799fadff b,#a01b9cff c,#42788bff d,#aac2cbff e,#b855b5ff f,#d7a1d5ff g,#dedee8ff ``` ```image c c gd a c c gd a c c b dbg f ab bbg c b ee bc b bg gb a b eb gb d b bgfe c b ee c b a b dg b c b c b a b dg b c b a e a e c e dg e c e gd b c b ga b c c b c cg b a dc b c ggdd b dg dg c b c d gd b gd a c b c a a gb a c c gb c c c gb c c a gb a c c gb c c ag gb dg c c fe c a dd fe gd a c fe c d gd fe a gd c ee c gg a eb c d c eb a a c eb c a a be dg c c be c ag be gd c gbe c dd gbe a c gbe a gd gbf c cbf ag fbfcg c fbf dcd dd fbf dcd c fbf gcd ga fbg gca c ebg gca a ebg ca a ebg cc c e ac dg acg c acg gd dcg c dcd a gcd c gca c gc ``` <!-- end of image -->
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Time to put on my detective hat and find those intersection points! 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,#30ceceff b,#75ad94ff c,#b0e9e8ff d,#9ecea2ff e,#b1d7b2ff f,#67d7d1ff g,#ecf6f0ff ``` ```image g aaac aaaaag aaaaaaag aaaaaaaaag aaa caaaaaa aaf caaaaaa aaf caaaaaf aaf caaaaaf gaaf faaaaaf gaaf faaaaaf gaac faaaaac caac faaaaac caac aaaaaac caac aaaaa caac gaaaa caag aaag faag caaa faag aaag faa caaa faa aaac faa gaaa aaa aaac aaa gaaa aaa aaac aaa aaa ggggggggggaaagggggggggg faaf gddddddddddaaaddddddddddg aaa gdeeeeeeeeeaaaeeeeeeeeedg faaf gdeeeeeeeeeaaaeeeeeeeeedg aaa gdeeeeeeeeeaaaeeeeeeeeedg faaa gdeeeeeeeeeaaaeeeeeeeeedg aaa gdeeeeeeeeeaaaeeeeeeeeedg caaa gdeeeeeeeeeaaaeeeeeeeeedg aaag gdeeeeeeeeeaaaeeeeeeeeedg caaa gdeeeeeeeeeaaaeeeeeeeeedg aaag gdeeeeeeeeeaaaeeeeeeeeedg caaa gdeeeeeeeeeaaaeeeeeeeeedg daaabdddddddddddddddddddg gdeeeeeeeeeaaaeeeeeeeeedg deaaaeeeeeeeeeeeeeeeeeedg ggcebbbbbbbbbbbbbbdeeeeeeedg deaaafeeeeeeeeeeeeeeeeedg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbdddg deeaaaeeeeeeeeeeeeeeeeedg bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeg deefaaaeeeeeeeeeeeeeeeedg bbbbbbdeecgdeeeeeeeeeaafedbbbbbbbbbbbbbbbbbec deeeaaadeeeeeeeeeeeeeeedg gdeeeeeeeeeaafeeeeeeeddbbbbbbbbbbbbbbbbdc deeedaaaeeeeeeeeeeeeeeedg gdeeeeeeeedaafeeeeeeeeedg gebbbbbbbbbbbbbbbbdcdeeeeaaafeeeeeeeeeeeeeedg gdeeeeeeeedaafeeeeeeeeedg gebbbbbbbbbbbbbbbbeeaaaeeeeeeeeeeeeeedg gdeeeeeeeedaafeeeeeeeeedg gedbbbbbbbbbbefaaaeeeeeeeeeeeeedg gdeeeeeeeefaafeeeeeeeeedg gcbbbbbbbaaadeeeeeeeeeeeedg gdeeeeeeeefaadeeeeeeeeedg deebbbbbaaaeeeeeeeeeeeedg gdeeeeeeeefaadeeeeeeeeedg deeedbbbbbafeeeeeeeeeeedg gdeeeeeeeefaadeeeeeeeeedg deeeeebbbbbaeeeeeeeeeeedg gdeeeeeeeefaadeeeeeeeeedg deeeeeebbbbbaeeeeeeeeeedg gdeeeeeeeefaaeeeeeeeeeedg deeeeeeeebbbbbeeeeeeeeedg gdeeeeeeeefaaeeeeeeeeeedg deeeeeeeeebbbbbdeeeeeeedg gdddddddddaaadddddddddddg deeeeeeeeeeabbbbbeeeeeedg aaaf deeeeeeeeeeeabbbbbeeeeedg aaaa deeeeeeeeeeefaabbbbbeeedg caaa deeeeeeeeeeeeaaabbbbbeedg gaaag deeeeeeeeeeeedaaadbbbbddg aaaf deeeeeeeeeeeeeaaafebbbbbg aaaa deeeeeeeeeeeeeeaaaeebbbbbg faaa deeeeeeeeeeeeeefaaaeeebbb gaaag deeeeeeeeeeeeeeeaaadeeebg aaac deeeeeeeeeeeeeeedaaaeeedg aaaa deeeeeeeeeeeeeeeeaaafeedg faaa deeeeeeeeeeeeeeeeeaaaeedg caaag deeeeeeeeeeeeeeeeefaaaedg aaac deeeeeeeeeeeeeeeeeeaaaddg aaaf deeeeeeeeeeeeeeeeeedaaadg faaa ddddddddddddddddddddaaafg caaa gggggggggggggggggggggaaa gaaac faaa aaaf aaac aaaa cac caaa gaaag aaaf aaaa faaa gaaag aaac caa ``` <!-- end of image --> I'm determined to find out if an intersection exists in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#2fcdceff b,#73ac94ff c,#aaeaebff d,#dbf2f1ff e,#96c0aeff f,#7bdfe0ff g,#c0d9cfff ``` ```image daaaaaf daaaaaf daaaaaf daaaaaf daaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaad caaaaad faaaaad faaaaad faaaaad faaaaad faaaaad faaaaa faaaaa faaaaa faaaaa faaaaa aaaaaa dddggggeeeebbbbbaaa geeeebbbbbbbbbbbbbbbbbbbbbbbeeggd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeggd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeeggd bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbbbbbbbbbbbbbbeebbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbeeeeggggddd aaaabbebbbbbbbbbbbbbbbbbbb dd aaaaaf dggeebbbbbbbbbbbbb daaaaaf dggeebbbbbbb daaaaaf ddgeeb daaaaaf daaaaaf daaaaaf daaaaac daaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaac caaaaad caaaaad faaaaad faaaaad faaaaad faaaaad faaaaad faaaaa faaaaa ``` <!-- end of image --> The evidence is clear: there's 1 intersection in area A. Time to investigate another area. I'm going to scrutinize area B for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#30cdceff b,#73ac94ff c,#9fe7e8ff d,#dcf3f1ff e,#91beacff f,#62d9d9ff g,#bbd6cbff ``` ```image daaaaaac faaaaaf daaaaaac caaaaaad daaaaaaf caaaaaad faaaaaf daaaaaac faaaaaad daaaaaaf caaaaaad faaaaaf daaaaaac faaaaaad daaaaaaf bbeggd caaaaaad bbbbbbed faaaaaf bbbbbbbbg daaaaaac bbbbbbbbbed faaaaaad bbbbbbbbbbbgdaaaaaaf ebbbbbbbbbbbecaaaaaad debbbbbbbbbfaaaaaf gbbbbbbbbbbaaaaac debbbbbbbbbaaaaad gbbbbbbbbbbaaaf debbbbbbbbbaaad gbbbbbbbbbaaf dbbbbbbbbbbac ebbbbbbbbbad gbbbbbbbbbb debbbbbbbbbd gbbbbbbbbbg debbbbbbbbed ebbbbbbbbbg dabbbbbbbbbed cabbbbbbbbbbg faabbbbbbbbbed daaabbbbbbbbbbg faaaabbbbbbbbbe daaaaabbbbbbbbbbd caaaaaabbbbbbbbbg faaaaafebbbbbbbbed daaaaaacgbbbbbbbbbg faaaaaaddbbbbbbbbbe daaaaaaf ebbbbbbbb caaaaaad gbbbbbbb faaaaaf debbbbb daaaaaac gbbbb faaaaaad debb daaaaaaf gb caaaaaad d faaaaaf daaaaaac faaaaaad daaaaaaf caaaaaad faaaaaf daaaaaac faaaaaad daaaaaaf caaaaaad faaaaaf daaaaaac faaaaaa ``` <!-- end of image --> There is 1 intersection point visible in this close-up of 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,#30cecfff b,#74ac94ff c,#9ae6e7ff d,#c7edecff e,#a5c9baff f,#6edcddff g,#e6f6f4ff ``` ```image g aaad aaaaad aaaaaaag aaaaaaaaag aaa daaaaaa aaf daaaaaa aaf caaaaaf aaf caaaaaf gaaf caaaaaf gaaf faaaaaf daac faaaaac daac faaaaac daac aaaaaad caad aaaaa caad gaaaa caad aaag caag caaa faag aaag faa daaa faa aaad faa gaaa aaa aaac aaa gaaa aaa aaac aaa aaa aaa aaaf aaa aaa aaa faaf aaa aaa aaa faaa aaa aaa aaa caaa aaa aaag aaa daaa aaa aaad aaa daaa aaa aaad aaa gaaa gddeebbbbbbbbbbbbeeg aaaf bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbeg aaa bbbbbbbbbbbbbbbbbbbbebbbbbbbbbbbbbbbbed faaa bbbbbbeeedg gaaf debbbbbbbbbbbbbbbbed aaad gaaf debbbbbbbbbbbbbbbbed daaa gaac gebbbbbbbbbbbbbbbbedg aaaf daac gebbbbbbbbbbbbbbbb aaa daac geebbbbbbbbbbgfaaa daac gdebbbbbeaaad caad bbbbbaaa caad ebbbbbaf caad bbbbba faag ebbbba faag gbbbbb faa bbbbbg gaaa abbbbe aaaf abbbbbg aaaa faabbbbe caaa aaabbbbb gaaad daaaebbbbe aaaf aaaf bbbbb aaaa aaa ebbbbd faaa faaa gbbb daaag aaad bg aaac daaa aaaa aaaf faaa aaa daaag faaa aaac aaad aaaa daaa faaa aaaf caaa aaa gaaad faaa aaaf aaad aaaa dac caaa gaaad aaaf aaaa faaa daaag aaac daa ``` <!-- 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,#3fa1daff b,#b481ebff c,#7ebfdfff d,#cfdff6ff e,#0e89d9ff f,#9437f1ff g,#b0d6b0ff ``` ```image d de ae ee ee b caed bffb edad bffb e cc bffb e ca bffb ca de bfffd ed e bfffd e e bfffd de e dfffd ac e dfffd ggggggggggggggeggggegggggggggg dfffb ggggggggggggggeggggacggggggggg dfffb gggggggggggggceggggaaggggggggg dfffb gggggggggggggecggggceggggggggg dbffb gggggggggggggeggggggeggggggggg bffb gggggggggggggeggggggeggggggggg bffb ggggggggggggcaggggggeggggggggg bffb ggggggggggggecggggggeggggggggg bffbdggggggggggggegggggggeggggggggg bfffggggggggggegggggggecgggggggg gbfffggggggaagggggggacgggggggg ggggbffffbbeggggggggaagggggggg ggggggggbbffffffffbbcegggggggg gggggggggggegggggbbfffffffgggg ggggggggggaagggggggggegggggggg ggggggggggeggggggggggegggggggg ggggggggggeggggggggggegggggggg gggggggggceggggggggggegggggggg gggggggggecggggggggggecggggggg gggggggggegggggggggggaaggggggg gggggggggegggggggggggcaggggggg ggggggggcagggggggggggceggggggg ggggggggecggggggggggggeggggggg ggggggggegggggggggggggeggggggg ggggggggegggggggggggggeggggggg gggggggaagggggggggggggeggggggg ed ed e ad de cc ac ca e de e e de e ac e e e e ed ca ac ed cc e da e de ca e ed e e e de e ac ed e ac e ca cea de de aeeadec ac e daeec ed e e deeec de e e ceeed ce ca ceead aa ed daeea ec e deeec ed e ceeec de ca ceead ce ed aeead aa e aeec ec de c ed ac de e ce e aa de ecac ee de ``` <!-- end of image --> I'm focusing my attention on this specific region, area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#4ba7e3ff b,#c89af7ff c,#8bc5edff d,#d0dff7ff e,#0f8adaff f,#9333f1ff g,#a95df4ff ``` ```image aec dee eed dee dee eed cea eed aec aec eed aec dee cea cea cea aec cea deed dee cee dee aea eed eec eed dee aec cea aec aec cea eed cea dee dee cea dee gbd aec eed fffgbd eed eed bgffffgbd dee eec dbgffffgbd cea aec bgfffffbd aec aec bgffffffggbbbbeed cea bgffffffffffffggbbbdd cea dbbbggfffffffffffffggbbbdcee eecdbbbggfffffffffffffggbbbdd dee ddbbbggffffffffffffg cea eebbbggfffg aec aec dd eed aec dee aec cea cea aec cea eed dee dee dee cea eed aec eed deed aec cee aec aea cea eec cea dee cea cea dee aec dee eed eed dee eed cea aec aec aec eed cea dee cea cea dee ``` <!-- end of image --> My investigation has led me to 2 intersections in area A! Answer: A: 2; 2 = 2 Two intersections have been found!
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#389ee0ff b,#be85f6ff c,#a0d0f0ff d,#dae0f9ff e,#0d89daff f,#9638f2ff g,#69b6e7ff ``` ```image d ce ae ee ee b caed bffb edac bffb e gg bffb e ca bffbd gg de bfffd ed e bfffd e e bfffd de e bfffd ag e dfffd e ed dfffb e ac dfffb ce gg dfffb ac ca dfffb e de bffb e e bffb ca e bffb ec e bffbd e e bfffd e ed bfffd gg ac bffffbbed gg ddbffffffffbdce de ddbfffffff ag e d e e e e ce e ac ec e gg e ca ca de ec e e e e e gg e ed ed e ac de gg gg ca e de e e ce e ac e e e e ed ca ac ec gg e ca e de gg e ed e e e de e gg ed e ac e ca gea ce de geeadec ac e daeeg ed e e ceeec de e e ceeec ge ca geead aa ec daeeg ec e caeeg ed e ceeec de gg geead ge ed dgeead aa e aeeg ec de c ed gg de e ge e aa ce ecac ee de ``` <!-- end of image -->
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Let's examine this image for potential line intersections. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#e65970ff b,#3448d5ff c,#efecedff d,#7a90d1ff e,#dc9d9eff f,#eb1f46ff g,#b0d7b0ff ``` ```image c f ac ee ccccaccccccccccccccccccccccccccccccccccccccc ggggfgggggggggggggggggggggggggggggggggggggggg ggggfgggggggggggggggggggggggggggggggggggggggg ggggfgggggggggggggggggggggggggggggggggggggggg ggggfgggggggggggggggggggggggggggggggggggggggg ggggfgggggggggggggggggggggggggggggggggggggggg ggggaeggggggggggggggggggggggggggggggggggggggg ggggeeggggggggggggggggggggggggggggggggggggggg gggggaggggggggggggggggggggggggggggggggggggggg gggggfggggggggggggggggggggggggggggggggggggggg gggggfggggggggggggggggggggggggggggggggggggggg gggggfggggggggggggggggggggggggggggggggggggggg gggdbfggggggggggggggggggggggggggggggggggggggg gggggbggggggggggggggggggggggggggggggggggggggg gggggabdggggggggggggggggggggggggggggggggggggg a gggggeabbgggggggggggggggggggggggggggggggggggg efae ggggggagdbggggggggggggggggggggggggggggggggggg fa f ggggggfgggbdggggggggggggggggggggggggggggggggg efc cf ggggggfggggbbgggggggggggggggggggggggggggggggg cfe ae ggggggfgggggdbggggggggggggggggggggggggggggggg af f ggggggfgggggggbdggggggggggggggggggggggggggggg efc cf ggggggaggggggggbbgggggggggggggggggggggggggggg fa fc ggggggeeggggggggdbggggggggggggggggggggggggggg afc f ggggggeaggggggggggbdgggggggggggggggggggggggggcfe ea gggggggfgggggggggggbbgggggggggggggggggggggggff fc gggggggfggggggggggggdbggggggggggggggggggggefe f gggggggfggggggggggggggbggggggggggggggggggfagg ee gggggggfgggggggggggggggbdggggggggggggggafgggg f gggggggfggggggggggggggggdbggggggggggggfeggggg cf gggggggaggggggggggggggggggbgggggggggffggggggg ae gggggggeeggggggggggggggggggbdgggggefggggggggg f ggggggggagggggggggggggggggggdbgggeagggggggggg cf ggggggggfgggggggggggggggggggggbggfggggggggggg ac ggggggggfggggggggggggggggggggggbdaggggggggggg f ggggggggfgggggggggggggggggggggggbbggggggggggg ea ggggggggfggggggggggggggggggggggeadbgggggggggg fc ggggggggfggggggggggggggggggggggfgggbdgggggggg f ggggggggagggggggggggggggggggggeaggggbbggggggg ea ggggggggeeggggggggggggggggggggfggggggdbgggggg f gggggggggfgggggggggggggggggggeaggggggggbdgggg f gggggggggfgggggggggggggggggggfggggggggggbbggg ae gggggggggaggggggggggggggggggeagggggggggggdbgg f ggggggggggagggggggggggggggggfggggggggggggggbd cf ggggggggggfggggggggggggggggeagggggggggggggggbd ac ggggggggggfggggggggggggggggfgggggggggggggggggdb f ggggggggggeaggggggggggggggeaggggggggggggggggg cbc ca gggggggggggfggggggggggggggfgggggggggggggggggg bd fc gggggggggggfgggggggggggggeagggggggggggggggggg db f ccccccccccceeccccccccccccfcccccccccccccccccc cbc ea f ca bc f f f bd ee ca dd f f db f ca cb ac f cb ca ca bc f f bg a ca bd ca f db f ca db f f cb ee ca cbc f f bc fca bd ef bd a db gb cb bc bc bd dd db cb cb b ``` <!-- end of image --> This is a magnified view of the region A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f05674ff b,#3748d7ff c,#f9c9d3ff d,#7c88e5ff e,#f590a4ff f,#ed1d45ff g,#c4c9f3ff ``` ```image cfa fa ff af efc efc cfe cfe fa fa af af efc efc cfe cfe fa fa af af efc efc cfe bd cfe dbbgfa gbbba gbbb bbbg eabbd efebbd cfe dbbg cfa dbbg fa gbbd ff dbbg af dbbg afc gbbd efc bbbg efe dbbg cfe gbbd fa gbbb fa dbbg af gbbd af gbbd efc dbbg efc gbbd cfe gbbd cfe dbbg fa dbbd fa gbbd c af dbbg af af dbbg effa efc gbbd caffe efc dbbg effa cfe dbbg caffc cfe gbbd affe fa bbbg effac fa dbbg caffe af gbbd effa af gbbb cfffc efc dbbg affe efe gbbd effac cfe gbbd affe cfa dbbg cfa fa gbbd afc ff gbbd cfa af dbbg afc afc dbbdfa efc gbbbc efe cbbbg cfe afdbbg fa cfa gbbd fa afc dbbg af cfa dbbg af afc gbbd efc cfa bbbg efc afc dbbg cfe cfa gbbd cfe afc gbbb fa cfa dbbg afc afc gbbd efe cfa gbbd fa afc dbbg af cfa gbbd efe afc gbbd cfa cfa dbb af afc db efc cfa g cfa afc ff cfa efc afc cfe cfa ff afc afc cfa cfe afc ``` <!-- end of image --> My analysis confirms the presence of 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,#f15876ff b,#3447d8ff c,#faced7ff d,#7884e4ff e,#f696a8ff f,#ed1e46ff g,#c3c9f3ff ``` ```image c f ac ee ca f f f f a ec ce a f f f dbf gb ebd a cedb cfae a gb fa f f bg ef f f db cfe ac f gb af f f bg efc cf a bd fa fc ec gb af f ce bg cfe ea a bd af f f db efc f f bg fa ee f bd af f f db cfe f ac gb ff ae ee bd efc f ca db ca cf f gb f ac f bda f f bb ca f cagb f f f bg f ac ca bb ee ee f gb f a ca bg f f f bd ae a ca gb f ca f bg cf f ca bd ac f f db f ce ca bg ca f f bd fc f ca db f ee f gb ea f ca bg f f f bd ec ca dd f f db f ca gb ac f b a ca bg f f bg a ca bd ca f db f ca gb f f gb ce ca b f f bg fca bg ef bd a db gb gb b bg bd dd db gb b b ``` <!-- 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. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#e13cb5ff b,#3b7ed1ff c,#ee03aeff d,#b1d7b2ff e,#da92c2ff f,#9fcda2ff g,#79aaccff ``` ```image ce cce ecc cc cce ecc cc aca cc cc aca cc cc ffffffffffffffffffffffffffffffffffffffffffffacaff fdddddddddddddddddddddddddddddddddddddddddddccddf fddddddddddddddddddddddddddddddddddddddddddcceddf ecce fdddddddddddddddddddddddddddddddddbfddddddaccdddf ccccc fddddddddddddddddddddddddddddddddbbbddddddccddddf cccc cc fdddddddddddddddddddddddddddddddfbbbdddddcceddddf accc eca fdddddddddddddddddddddddddddddddbbbbfdddaccdddddf accce cc fddddddddddddddddddddddddddddddgbbdbbdddccddddddf eccce ace fddddddddddddddddddddddddddddddbbddbbddcceddddddf ccca cc fdddddddddddddddddddddddddddddbbgddbbdeccdddddddf cccc cc fddddddddddddddddddddddddddddgbbdddfbgccddddddddf cccc eca fddddddddddddddddddddddddddddbbdddddbbceddddddddf accc cc fdddddddddddddddddddddddddddbbgdddddbbcdddddddddf eccce acefdddddddddddddddddddddddddddbbddddddabgdddddddddf cca ccfddddddddddddddddddddddddddbbfdddddccbbdddddddddf cc ccfdddddddddddddddddddddddddgbbdddddeccbbdddddddddf cc ecadddddddddddddddddddddddddbbddddddccdgbgddddddddf cc ccddddddddddddddddddddddddbbgdddddacaddbbddddddddf cc aceddddddddddddddddddddddfbbddddddccdddbbddddddddf cc ccddddddddddddddddddddddbbddddddccddddbbfdddddddf cc ccdddddddddddddddddddddgbbdddddacaddddfbbdddddddf cc ecaddddddddddddddddddddbbddddddccddddddbbdddddddf cc fccdddddddddddddddddddbbgdddddccdddddddbbdddddddf cc facedddddddddddddddddgbbdddddacadddddddgbgddddddf cc fdccdddddddddddddddddbbddddddccdddddddddbbddddddf cc fdccddddddddddddddddbbgdddddccedddddddddbbddddddf cc bbg fdecadddddddddddddddbbdddddaccddddddddddgbgdddddf fffccfffffff bbbb fddccddddddddddddddbbfdddddccddddddddddddbbdddddf dddccddddddf bbb bb fddaceddddddddddddgbbdddddcceddddddddddddbbdddddf dddccddddddf bbb gbb fdddccddddddddddddbbdddddeccdddddddddddddbbfddddf dddccddddddf bbb bbg fdddccdddddddddddbbgdddddccddddddddddddddfbbddddf dddccddddddf bbb bb fdddecadddddddddfbbdddddccedddddddddddddddbbddddf dddccddddddf bbb bb fddddccdddddddddbbdddddeccddddddddddddddddbbddddf dddccddddddf bbg gbb fddddacedddddddgbbdddddccdddddddddddddddddgbgdddf dddccddddddfbbg bbgfdddddccdddddddbbdddddccaddddddddddddddddddbbdddf dddccddddddbbg bbfdddddccddddddbbgddddeccdddddddddddddddddddbbdddf dddccdddddbbg bbdddddecaddddgbbdddddccddddddddddddddddddddgbgddf dddccdddfbbg gbbdddddccddddbbdddddccadddddddddddddddddddddbbddf dddcaddfbbgf bbgddddaceddbbgddddeccddddddddddddddddddddddbbddf dddcadfbbgdf fbbdddddccddbbdddddccdddddddddddddddddddddddgbgdf dddcagbbfddf fgbbddddccebbfddddacaddddddddddddddddddddddddbbdf ddddgbbfdddf fdbbbdddecabbeddddccdddddddddddddddddddddddddbbdf ddddbbfddddf fddbbgddddbbccccdccddddddddddddddddddddddddddbbff ddddbbdddddf fdddbbdddbbgdaccccaddddddddddddddddddddddddddfbbf ddddbbdddddf fdddgbbdfbbdddddacddddddddddddddddddddddddddddbbf ffffbbffffff fddddbbbbbfdddddddddddddddddddddddddddddddddddbbf bb fdddddbbbbddddddddddddddddddddddddddddddddddddgbg bb fddddddbbddddddddddddddddddddddddddddddddddddddbb bb fddddddddddddddddddddddddddddddddddddddddddddddbb bb fddddddddddddddddddddddddddddddddddddddddddddddgbd bg fdddddddddddddddddddddddddddddddddddddddddddddddbb bg fdddddddddddddddddddddddddddddddddddddddddddddddbb dbg fdddddddddddddddddddddddddddddddddddddddddddddddbb gbd fdddddddddddddddddddddddddddddddddddddddddddddddfbg gb fdddddddddddddddddddddddddddddddddddddddddddddddfbb gb fffffffffffffffffffffffffffffffffffffffffffffffffbb bb dbg bb bb bb bb bb gbg bb bb bb bb bb gb bb bb bb bb bg bb dbg g ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#f248c4ff b,#3b7dd2ff c,#ef03aeff d,#c2d5f0ff e,#f0e4f6ff f,#f025b8ff g,#679adcff ``` ```image accce accce accce accce accce accce accce accce accc accc accc fccc fccc fccc fccc fccc fccc g fccf egb fccf egbb fccf egbbb cccf ebbbbb cccf ebbbbbd cccf dbbbbbd cccf dbbbbbd cccf dbbbbbd cccf dbbbbbd ccca dbbbbbd cccadbbbbbd eeedbbbbbe gbbbbe bbbbe bbbg ebbbg ebbbg dbbbg ``` <!-- end of image --> Darn it! This close-up doesn't show any intersections in area A. Alright, let's concentrate on the next area. Could this be where the intersection is hiding, in area B? <!-- image --> ```palette Key,Color ,#fefefeff a,#ee41c1ff b,#3b7dd2ff c,#ee04aeff d,#b1caecff e,#f68cdaff f,#ecdff4ff g,#74a2deff ``` ```image eccccf fcccce accca eccccf fcccce accca eccccf ff cccce gbbd acccc dbbbg fccccf bbbbb cccca gbbbbbd ecccc fbbbbbbg fcccce gbbbbbbb accca dbbbbgbbbd eccccf fbbbbddbbbg fcccce gbbbg fbbbb accca dbbbbf gbbbf eccccf bbbbg dbbbd fcccce dbbbb fbbbg accca fbbbbd bbbbf eccccf gbbbg gbbbdfcccce dbbbbf dbbbgaccca bbbbd bbbbccccf gbbbb gbbbacce fbbbbd dbbbbca gbbbg bbbbcf dbbbbf fbbbbe fbbbbd aabbbd gbbbg eccbbbg f dbbbbf cccbbbbf e bbbbg acccgbbbd c dbbbb fccccdbbbg ce fbbbbd cccca bbbb ca gbbbg ecccc gbbbd ccf dbbbbf fcccce dbbbg cce bbbbd accca bbbb ccc gbbbb eccccf gbbbf ccce fbbbbd fcccce dbbbg ccca gbbbg accca fbbbb ccccf dbbbbf eccccf gbbbf eccce fbbbbd fcccce dbbbd fcccc gbbbg accca fbbbg accce dbbbbf eccccf bbbb eccca bbbbg fcccce gbbbd ccccf dbbbb accca dbbbg eccce fbbbbd eccccf bbbb fcccc gbbbg fcccce gbbbd accce dbbbbf accca dbbbg eccca bbbbd eccccf fbbbb ccccf gbbbb cccce gbbbf eccce fbbbbd acccc dbbbd fcccc gbbbg eccccf fbbbg accce dbbbbf cccca bbbbf eccca fbbbbd ecccc gbbbd ccccf gbbbg fcccce dbbbg eccce dbbbbf accca bbbb fcccc bbbbg eccccf gbbbd accce dbbbb fcccce dbbbg eccca fbbbbd accca bbbb ccccf gbbbg eccccf gbbbf eccce dbbbbf fcccce dbbbd fcccc bbbbd accca fbbbg accce gbbbb eccccf gbbbf eccca fbbbbd fcccce dbbbd ccccf gbbbg accca fbbbg eccce dbbbbf eccccf bbbb fcccc fbbbbd fcccce gbbbd accce gbbbg accca dbbbg eccca dbbbbf eccccf bbbb ccccf bbbbg fcccce gbbbd d eccce dbbbb accca dbbbg bf fcccc fbbbbd eccccf fbbbb bg accce gbbbg cccce gbbbf bbd eccca dbbbbf acccc dbbbd bbbf ccccf bbbbd fccccf fbbbg bbbbf eccce gbbbb cccca bbbbf bbbbg fcccc fbbbbd ecccc gbbbd dbbbbd accce gbbbg fcccce dbbbg dbbbbf eccca dbbbbf accca bbbb gbbbb ccccf fbbbbd eccccf gbbbd fbbbbg eccce gbbbg fcccce dbbbg dbbbbd fccccedbbbbf accca bbbb gbbbbf accccbbbbg eccccf gbbbf gbbbb ecccabbbbef fcccce dbbbd fbbbbg eccbbbbacccef accca fbbbg dbbbbd gbbbbcccccccefeccccf bbbbf gbbbbf dbbbbaccccccccccccce gbbbd gbbbb bbbbd feaccccccccca fbbbg fbbbbg gbbbb feaccccccf bbbb dbbbbd fbbbbd feacce gbbbd gbbbbf gbbbg ff dbbbg gbbbgdbbbbf bbbb fbbbbbbbbd gbbbf dbbbbbbg dbbbg gbbbbbf fbbbb bbbbg gbbb fbbg dbbb f fbbb bbb gbb dbb bb gb db fb g d f ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 0; B: 2; 0 + 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#ee41c2ff b,#3a7dd2ff c,#ef03aeff d,#a9c5eaff e,#f8a2e0ff f,#e5e3f5ff g,#6d9eddff ``` ```image ce cce ecc cc cca ecc cc aca fcc ccf aca fcc ccf aca fcc f cce ecce bf acc fccccc bbb cc cccc cc fbbb cce acccf eca bbgbf ecc accce cc gbgfbb cc eccce ace bb bb cce eccca cc bbd bbfecc fcccc cc dbb fbgcc cccc eca bb bbce acccf cc gbg bbc eccce ace fbb abd cca cc bbf ccbb cc cc dbb eccbb cc eca bb cc gbd cc cc bbd aca bb cc ace fbb fcc bb cc cc bbf ccf gbf cc cc gbg aca fbg cc eca bb fcc bb cc cc bbd ccf bb cc ace dbb aca dbg cc cc bb cc bb cc cc gbg cce bb cc gbg eca fbb acc dbd cc bbbbf cc bbf cc bb cc bbbfbb ace dbb cce bb cc bbb gbb cc bb ecc gbf cc bbb bbd cc bbd cc fbg cc bbb bbf eca fbb cce bb cc bbg fbb cc bbf ecc bb cc bbg gbb ace gbg cc dbg cc bbg bbd cc bb cce bb cc bbg bbf cc bbd ecc bb cc fbbd fbb eca dbb cc dbd cc fbbd gbb cc bb cca bb ca fbbd bbd ace gbg ecc bb ca fbbd bb cc fbb ccf gbd cadbbf dbb ccebbf aca fbb fdbbf gbb ecabbe fcc bb bbf bbd bbcccafccf gbf bb bb bbdfacccca fbg bb dbb fbb fac bb bb gbgbbf bb bb bbbg dbd bb bb bb bb bb bb gbd bg bb fbg bb dbd gbf dbd fbg gbf bb gbf bb gb dbg bb bb bb bb bb dbd bb bb bb bb bb gbf bb fbb bb bb bg bbf fbg d ``` <!-- end of image -->
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This image seems promising for intersection detection. These spots mark what I'd call 'danger zones' - areas where intersections are more likely. <!-- image --> ```palette Key,Color ,#fefefeff a,#f458c5ff b,#84826cff c,#f1eceeff d,#c6b1b7ff e,#b1d7b1ff f,#e088c2ff g,#99c095ff ``` ```image cc aaac fa aaaf ac faaf fa faac ac c aa ac aa ac aa ac ac af aa aa ac fa aa fa ac ca cc aa ggggagggggbbggggggggggggggggggggggggggggggggggggggggggggggggggggggac eeeeadeeeebbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaa eeeeadeeegbbbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeag eeeeafeeebbebgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaag eeeeaaeeebgebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeg eeeefaeeebeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeg eeeedaeegbeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaeeg eeeeeaeebbeeeebeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaeeg eeeeeaeebeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeaeeeg eeeeeadgbeeeeegbeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeaaeeeg eeeeeafbbeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeebbbgeeeeeeeeeeeeeeedaeeeeg eeeeeaabgeeeeeegbeeeeeeeeeeeeeeeeeeeeeeeebggbeeeeeeeeeeeeeeeaaeeeeg eeeeefabeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeebgebbeeeeeeeeeeeeedaeeeeeg eeeeefabeeeeeeeegbeeeeeeeeeeeeeeeeeeeeeeebeeebbeeeeeeeeeeeeaaeeeeeg eeeeedageeeeeeeeebgeeeeeeeeeeeeeeeeeeeeeebeeeebbeeeeeeeeeedaeeeeeeg eeeeeeaeeeeeeeeeegbeeeeeeeeeeeeeeeeeeeeeebeeeegbgeeeeeeeeeaaeeeeeeg eeeeegaeeeeeeeeeeebgeeeeeeeeeeeeeeeeeeeegbeeeeebbeeeeeeeedaeeeeeeeg eeeeebadeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeegbeeeeeebbeeeeeeeaaeeeeeeeg eeeeebafeeeeeeeeadebgeeeeeeeeeeeeeeeeeeebbeeeeeeebbeeeeedaeeeeeeeeg eeeegbaaeeeeeeeeaaebbeeeeeeeeeeeeeeeeeeebbeeeeeeeebgeeeeaaeeeeeeeeg eeeebbfaeeeeeeeeaaeebgeeeeeeeeeeeeeeeeeebbeeeeeeeegbgeedaeeeeeeeeeg eeeebgdaeeeeeeeeaaaebbeeeeeeeeeeeeeeeeeebgeeeeeeeeebbeeaaeeeeeeeeeg eeeebeeaeeeeeeeeadaeebeeeeeeeeeeeeeeeeeebgeeeeeeeeeebbdaeeeeeeeeeeg eeegbeeaeeeeeeedaeafebbeeeeeeeeeeeeeeeeebgeeeeeeeeeeebafeeeeeeeeeeg eeebbeeadeeeeeefaefaeebeeeeeeeeeeeeeeeeebeeeeeeeeeeeedageeeeeeeeeeg eeebeeeafeeeeeefaeeadebbeeeeeeeeeeeeeeeebeeeeeeeeeeeeafbeeeeeeeeeeg eeeeeeeafeeeeeeaaeeaaeebeeeeeeeeeeeeeeeebeeeeeeeeeeedaebbeeeeeeeeeg eeeeeeeaaeeeeeeafeedaeebbeeeeeeeeeeeeeegbeeeeeeeeeeeafeebbeeeeeeeeg eeeeeeefaeeeeeeadeeeafegbeeeeeeeeeeeeeegbeeeeeeeeeedaeeeebbeeeeeeeg eeeeeeedaeeeeeeaeeeefaeebbeeeeeeeeeeeeegbeeeeeeeeeeafeeeegbgeeeeeeg eeeeeeeeaeeeeeeaeeeeeadegbeeeeeeeeeeeeebbeeeeeeeeefaeeeeeegbeeeeeeg eeeeeeeeaeeeeeeaeeeeeaaeebbeeeeeeeeeeeebbeeeeeeeeeafeeeeeeebbeeeeeg eeeeeeeeadeeeedaeeeeeeaeegbeeeeeeeeeeeebbeeeeeeeefaeeeeeeeeebbeeeeg eeeeeeeeafeeeefaeeeeeeaaeebgeeeeeeeeeeebgeeeeeeeeafeeeeeeeeeebbeeeg eeeeeeeeaaeeeeaaeeeeeedaeegbeeeeeeeeeeebgeeeeeeefaeeeeeeeeeeegbgeeg eeeeeeeefaeeeeafeeeeeeeafeebgeeeeeeeeeebeeeeeeeeafeeeeeeeeeeeebbeeg eeeeeeeedaeeeeafeeeeeeefaeebbeeeeeeeeeebeeeeeeefaeeeeeeeeeeeeeebbeg eeeeeeeedaeeeeadeeeeeeeeadeebgeeeeeeeeebeeeeeeeafeeeeeeeeeeeeeeebbg eeeeeeeeeaeeeeaeeeeeeeeeaaeebbeeeeeeeegbeeeeeefaeeeeeeeeeeeeeeeeebb eeeeeeeeeadeeeaeeeeeeeeedaeeebgeeeeeeegbeeeeeeafeeeeeeeeeeeeeeeeegbc eeeeeeeeeafeedaeeeeeeeeeeafeebbeeeeeeegbeeeeefaeeeeeeeeeeeeeeeeeeebb eeeeeeeeeafeefaeeeeeeeeeefaeeebeeeeeeebbeeeeeafeeeeeeeeeeeeeeeeeeegbb eeeeeeeeeaaeefaeeeeeeeeeeeadeebbeeeeeebbeeeefaeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeefaeeaaeeeeeeeeeeeaaeeebeeeeeebbeeeeadeeeeeeeeeeeeeeeeeeeeg cbd eeeeeeeeedaeeafeeeeeeeeeeeeaeeebbeeeeebgeeefaeeeeeeeeeeeeeeeeeeeeeg dbc eeeeeeeeeeaeeadeeeeeeeeeeeeaaeegbeeeeebgeeeadeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeeaeeadeeeeeeeeeeeedaeeebbeeeebgeefaeeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeeadeaeeeeeeeeeeeeeeafeegbeeeebeeeadeeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeeafeaeeeeeeeeeeeeeefaeeebbeeebeefaeeeeeeeeeeeeeeeeeeeeeeeg cbd eeeeeeeeeeaadaeeeeeeeeeeeeeeeadeegbeeebeeadeeeeeeeeeeeeeeeeeeeeeeeg dbc eeeeeeeeeefafaeeeeeeeeeeeeeeeaaeeebgegbeaaeeeeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeedafaeeeeeeeeeeeeeeedaeeegbegbeadeeeeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeedaaaeeeeeeeeeeeeeeeeafeeebgbbaaeeeeeeeeeeeeeeeeeeeeeeeeeg bg eeeeeeeeeeeaafeeeeeeeeeeeeeeeefaeeebbbbadeeeeeeeeeeeeeeeeeeeeeeeeeg cbd eeeeeeeeeeeaadeeeeeeeeeeeeeeeeeadeeebbaaeeeeeeeeeeeeeeeeeeeeeeeeeeg gbc eeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeaaeeebbadeeeeeeeeeeeeeeeeeeeeeeeeeeg bb eeeeeeeeeeeaaeeeeeeeeeeeeeeeeeeeaeeeeaaeeeeeeeeeeeeeeeeeeeeeeeeeeeg bb cccccccccccaacccccccccccccccccccaacccacccccccccccccccccccccccccccc bg fa ca aa dbc c af ac gb faaa b aac aa ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#f557c6ff b,#847f6bff c,#fab4e5ff d,#d0cfc7ff e,#f5e1edff f,#f883d5ff g,#aaa79aff ``` ```image aaf gbb aaa bbbd faa bbbb a caa bbbb ca caa ebggbd aa eaa gbddbg aa aa ebg dbg caf aa dbd bbe aae fa gbe bbg cac cac dbb dbbg faa cac gbb bbb eaaa eaf bbb gbb faac af bbg ebb aaa fa bbe ebb bbbd eaa fae bb gbd bbbb fac cae dbg ebb bbbb eaa cac gbd bbd bbbbg fac eafebg gbb bbddbbe faa afgbd dbb bbd bbb aaa aabbe bbd bbd gbb aac aabb dbg bbe ebbg eaa aabb dbg bb dbbe eaa aagb bbe bb bbb fac aaag bbg bb gbbg eaa aaa gbbg ebg dbbd eaaa aaa ebbb dbg dbbe faac aaae gbb dbd gbb aaa aaae ebb dbd bbg aac dbaac ebb gbe dbbb fac gbaaf fe gbd gbe gbbe eaf bbaaf eaf ebb gb gbg fac dbgaaa caae bbd bb bbg eaa bbefaa faaa gbbd bg bbb caaf ebb caa faaac dbbg ebg gbbe faac dbb caa faaaa bbb ebg gbg aaf gbb eaa aafaae dbb dbd ebbg aae dbbg aa eaa aaa dbg dbd bbbaae gbbd aa eaa caa bbe gbd gbbaf bbb fae caa aa gbg gbe gaae bbd cac faa eaf bbg bb aaabd bbe cac faa fae bbb bb caaabbe ed eaf aaa caf gbbd bb aaaebbb af aaf aa ebbb ebb aaf bbbg fa aaf aaa ebb dbb caf dbbd fae aac faae gbd dbb aae dbbe cae aac caaf dbb dbb caf gbg cac aae aaa gbd gbb aae bbg eaf aa aa bbd gbb aaa dbbb af aa fac bbg gbb aaf gbbe aa af eaf bbb bbb aae gbg aa eaf fae dbb bbb caf ebbg aac cac aa dbg ebbg caf bbb aac cac aac bbe dbbg aae gbbe aaf fae aaa gbg dbbd caa gbg aaa fa caaf bbd dbbd caaf dbbd faa aa aaa bbb gbbe aaae bbbe faa af caa gbbd gbbe aac gbbb caa eaf aa ebbb gbb eaae bbb eaa cac eaf dbb bbb eaa dbbd eaa cae fae gbd bbg fac dbb aa fae caf dbg bbg eaa bb aa fa aa bbd bbg faa bb fae aa aaa bbe bbd faac d cac eaa faa bbg bbd aaa cac eaa caa bbbe bbd aac eaf caa aae dbbg bbe eaa aa faa aa gbb bb eaa fa faa fac ebb bb fac fae faa eaf gbd bg eaa cac aaf aaf gbd ebg aaa eac eaaf aaa ebb dbg aac eaf eaac caac bbd dbd eaa af caac eaaa bbb dbd fac aa faae caa dbbg gbe fac aae faa aae gbb gbe eaa aac aaa cac dbb gb faa aac aaf aa bbe bb eaaa aaf aaf eaf bbe bg aaf aaf aac aae dbg ebg aac faa aac aaf bbe dbg eaf faaeaae aaa bbg dbd fac caacaa eaaa gbb dbd fac caacaa faa ebb gbecaa eaafaf caa gbd gbefaa aaaac cac gbdbbfaae faaac aa ebbbbaaf faaac fac bbbbaae caaae eaf bbbbaf eaaa aaf dbbaf eaaa aaa baae ``` <!-- 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,#f556c6ff b,#837f6aff c,#fab3e5ff d,#c8c6bdff e,#f2e0ebff f,#f782d4ff g,#a4a192ff ``` ```image ce aaac fa faac ac faaf fa caac ac c fa ac fa ae aa ae ae ac aa af ae fa aa ca ae ea e aa a bb ae ae bbd aa ac ebgb ae af gb be aa aa bd bb ae fa b be aa ca gb bb ea a bg eb aa a be bb bb ea aedb eb bbg aa acbb bg bgbd ea afbd db bdgbe aa fab bg be bb ea cab db b bb aa eag bg b bg ea a db eb ebd aa dae bd db gb ea bac gb db bb aa baf fe bd gb bb ea ebaa aa gb bb bg af gbfa aa be bg dbe ca bdca aaa bb bg gb af b ea aca be bd bbca gb a ea ac bb be baf bg ae ca fa ebe b cad be ac fa ae bb b afbe af af aa eb eb ca gb fa af ea bb eb af bb ca ac af eb db ca bg ea ae ca bg gb af ebd a a ac db gb ca dbe a ea fa bg bg af bb ac ca a db bg ca bb af fa aa bd bd af bg aa fa ca gb bd ca ebd fa af ac bd be ac gb ca ac fa gb b ca bb ea ae ae bd b ac bb a a aa gb eb fa bg ae a ea be db ac dbe ac ea af bb db fa gb af ca ca be gb ac bb fa fa ac bb bb fa bb ca aa fa eb bg ac ebd ea af a bb bd fa dbe a ac aa eb bd ac gb a ae ca bg be fa bb ac a ac db b ac bg ac a fa bg b fa ebd afca ae db eb ac dbe faca aa bd db fa bb cafa ea db db ac bb eaaf af bdgbfa bg aac ca gbbbae ebd aac ac bbaa gb aa fa gbae bb aa a aa bb aa aa ae bg fa ca aa dbe c ac ae gb faaa b aae aa ``` <!-- end of image -->
[ "" ]
I have a feeling there might be some intersections in this image. I need to zoom in on these areas to get a better look. <!-- image --> ```palette Key,Color ,#fefefeff a,#cfc683ff b,#f752bdff c,#f9d2d5ff d,#e4b351ff e,#b1d7b1ff f,#96c996ff g,#dd93beff ``` ```image bg gbc bb bb gbc bb bb gbc bb bb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeegbeeeeeef feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaeeeeeeee feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbddeeeeeee bg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdddeeeeeee cbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdddeeeeeee cbbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaddeeeeeee cbbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbaeddeeeeeee gbbbbbc feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedbbeeddeeeeeee gbbbbb feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbgeeddeeeeeee gbbbbg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeadbbeeeddeeeeeee bbbbbg feeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddbbeeeddeeeeeee cbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddgbgeeeddeeeeeee cbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddabbeeeeadeeeeeee fgbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeddaebbeeeeadeeeeeee feeegbbbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddegbgeeeeadaeeeeee feeeeeegbbbgeeeeeeeeeeeeeeeeeeeeeeeeeeeeaddeebbeeeeeedaeeeeee feeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeeeeeeeaddeeebbeeeeeedaeeeeee feeeeeeaddgbgeeeeeeeeeeeeeeeeeeeeeeeeeeddeeegbgeeeeeeddeeeeee feeeeeddddebbeeeeeeeeeeeeeeeeeeeeeeeeeddeeeebbeeeeeeeddeeeeee feeeddddadagbgeeeeeeeeeeeeeeeeeeeeeeeddaeeeebbeeeeeeeddeeeeee feddddeeedaebbeeeeeeeeeeeeeeeeeeeeeedddeeeegbgeeeeeeeddeeeeee ddddeeeeeddegbbeeeeeeeeeeeeeeeeeeeedddeeeeebbeeeeeeeeddeeeeee cdddaeeeeeeddeebbeeeeeeeeeeeeeeeeeeeaddeeeeeebbeeeeeeeeddeeeeee cdddaeeeeeeeeddeegbbeeeeeeeeeeeeeeeeeaddeeeeeegbgeeeeeeeeddeeeeee ddda feeeeeeeeadaeebbeeeeeeeeeeeeeeeeeddeeeeeeebbeeeeeeeeeddeeeeee dddd feeeeeeeeeddeegbbeeeeeeeeeeeeeeeddaeeeeeeebbeeeeeeeeeddeeeeee addd feeeeeeeeeddeeebbeeeeeeeeeeeeeeddaeeeeeeegbeeeeeeeeeeddeeeeee cdddc feeeeeeeeeddeeeebbeeeeeeeeeeeedddeeeeeeeebbeeeeeeeeeeadeeeeee cddda feeeeeeeeeadaeeebbeeeeeeeeeeedddeeeeeeeeebbeeeeeeeeeeadeeeeee ddda feeeeeeeeeeddeeeebbeeeeeeeeeaddeeeeeeeeegbeeeeeeeeeeeadaeeeee dddd feeeeeeeeeeddeeeebbeeeeeeeeeddeeeeeeeeeebbeeeeeeeeeeeadaeeeee addd feeeeeeeeeeddeeeeebbeeeeeeeddeeeeeeeeeeebbeeeeeeeeeeeedaeeeee cdddc feeeeeeeeeeadeeeeebbeeeeeeddaeeeeeeeeeebbeeeeeeeeeeeeedaeeeee cddda feeeeeeeeeeedaeeeeebbeeeeddaeeeeeeeeeeebbeeeeeeeeeeeeeddeeeee ddda feeeeeeeeeeeddeeeeebbeeedddeeeeeeeeeeeebbeeeeeeeeeeeeeddeeeee dd feeeeeeeeeeeddeeeeeebbeaddeeeeeeeeeeeebbeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeddeeeeeebbaddeeeeeeeeeeeeebbeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeadaeeeeeebbdeeeeeeeeeeeeegbgeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeddeeeeeebbaeeeeeeeeeeeeebbeeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeddeeeeeddbbeeeeeeeeeeeeebbeeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeddeeeeddabbgeeeeeeeeeeegbgeeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeadeeedddeebbeeeeeeeeeeebbeeeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeadaeaddeeebbgeeeeeeeeeebbeeeeeeeeeeeeeeeeddeeeee feeeeeeeeeeeeeddaddeeeeebbeeeeeeeeebbeeeeeeeeeeeeeeeeeadeeeee feeeeeeeeeeeeeddddeeeeeebbgeeeeeeeebbeeeeeeeeeeeeeeeeeadeeeee feeeeeeeeeeeeedddeeeeeeeebbeeeeeeegbgeeeeeeeeeeeeeeeeeadaeeee feeeeeeeeeeeeeddaeeeeeeeegbgeeeeeebbeeeeeeeeeeeeeeeeeeadaeeee feeeeeeeeeeeeeeaeeeeeeeeeebbeeeeeebbeeeeeeeeeeeeeeeeeeedaeeee feeeeeeeeeeeeeeeeeeeeeeeeegbgeeeegbgeeeeeeeeeeeeeeeeeeedaeeee feeeeeeeeeeeeeeeeeeeeeeeeeebbeeeebbeeeeeeeeeeeeeeeeeeeeddeeee feeeeeeeeeeeeeeeeeeeeeeeeeegbgeeebbeeeeeeeeeeeeeeeeeeeeddeeee efffffffffffffffffffffffffffbbffbbfffffffffffffffffffffddffff gbg bb dd bbcbg dd gbbb dd bbb dd cbc dd dd ad ad adc cdc cdc da 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,#ecc882ff b,#f851beff c,#fbb1e1ff d,#e6b351ff e,#f4dfb6ff f,#fbe9e7ff g,#f97accff ``` ```image cbbbc gbbbf bbbb cbbbc gbbbf fbbbg cbbbc fbbbg cbbbc gbbbf bbbg bbbc bbbf fbbg cbbcff gbbadde fbbgddda cbbddddd bbbddddd fbbbddddd bbbddadddf fbbbdeedddf gbbbe eddde ebbbb eddde fdbbbg eddde fdbbbbc fddde adbbbb fddde addbbbg fddda addbbbbf ddda edddbbbb ddda eddddbbbc ddda fddddgbbbf dddd f ddddabbbb addd bbbbgc adddfgbbbf addd bbbbbbgcf eddde bbbg adddf gbbbbbbbbgc eddde cbbbc adddf cgbbbbbbbbgc fddda gbbbf edddf fcbbbbbbbbbgc fdddd fbbbg eddde fcgbbbbbbbbbg ddddd cbbbc eddde fcgbbbbbbbgf addddf gbbbf eddde fcbbbbbbg addddf fbbbg fddde fgbbbbf edddde cbbbc fddde cbbg edddde gbbbf fddda eae bbbf fdddda fbbbg ddda eddddebbbg fdddda cbbbc ddda eddddddabbbbf addddf gbbbf ddda fadddddddddd bbbbf adddde bbbc addd addddddafeddd cbbbg dddde bbb addd edddddde eddd bbbbf eddda fbbg addd edddddde fddd cbbbg fddda cbbc adddf faddddda ddd bbbbf fddda bbb edddf adddddaf addf cbbbg adddf fbbg edddf ddddda edde gbbbc adddf cbbc eddde dddde fdda cbbbg edddd bbb eddde dde ddd gbbbc edddde fbbg eddde a addf cbbbg fdddda gbbc fddde edde gbbbc fdddda bbb fddda fdde cbbbg fddddd cbbb fddda dda gbbbc addddf gbbb ddda add cbbbg addddf bbbb ddda edde fbbb edddde gbbbf dddd fdda gbbc dddda bbbb addd ddd fbbb fddda cbbbc addd dddf gbbc ddddf gbbbf addd ddde fbbb adddf bbbb adddf ddda gbbc addde cbbbc edddf ddda fbbb eddde gbbbf edddf addd bbbc edddd bbbg eddde eddde bbbb fdddda cbbbc eddde eddde gbbbc fdddda gbbbf eddde ddda fbbbb addddf fbbbg fddde dddd gbbbc addddf cbbbc fddda adddf fbbbbf adddde gbbbf fddda fddda fbbbbf edddda cbbbc ddda dddd cbbbg fdddda gbbbf ddda adddf fbbbbf dddda fbbbg addd eddde cbbbg ddddf cbbbc addd fddda bbbbf adddf bbbb addd ddda cbbbg eddde cbbbg addd addd bbbbeddde gbbbc adddf adddf cbbbbdda bbbb edddf eddde bbbbdd cbbbc eddde fddda cbbbbd gbbbf eddde dddd abbbbc bbbg eddde adddf addbbbg bbbc fddde eddde edddbbbb bbb fddde ddda fdddda bbbf gbbc ddda dddd fdddda cbbg bbb ddda adddf addddf gbbc cbbc ddda edddf addddf cbbg gbbf dddd eddde adddde gbbc fbbg addd fddda dddde cbbg cbbc addd ddda eddda bbbc bbb addd adddfddda bbbg cbbb adddf adddddda gbbbc gbbb adddf eddddddf fbbbb bbbb edddf edddddf gbbbc cbbbc eddde fddddd fbbbb gbbbf eddde dddde gbbbc fbbbg eddde ee gbbbc bbbb fddde fbbbb cbbbg fddda gbbbc gbbbf ddda fbbbb bbbb ddda gbbbc cbbbc ddda fbbbb gbbbf dddd gbbbc fbbbg addd ``` <!-- 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,#ecc881ff b,#f851beff c,#fbaadeff d,#e6b350ff e,#f4deb5ff f,#fbe3e6ff g,#fa7ccdff ``` ```image bg cbc bb bb cbc bb bb gbf bb bb gbf bb bg gbf bb fbg gbf bbf fbgda bc bbddd fbbbbc bbddd cbbbbbc fbbedd cbbbbbf bba dd cbbbbbf dbb dd gbbbbgf adbc dd gbbbbg edbb dd fgbbbbg fddbb dd fbbbbbc ddcbc ad fbbbbbc ddebb ad cbbbbbc dda bb edf cbbbbbf ddd cbc ede cbbbc add bb fde bb edd bb fda eddcbg fdd cbc da fdddd bb ddf bb dd dddaedfcbg dde bb dd dddd da bb dda cbc dd adddf dd cbg add bb dd eddde dd bb edd bb dd fddde ad cbg fdd cbf dd ddda fde bb dd bb dd dddd dd fbg ddf bb dd adddf dd bb dde gbf dd eddde dd fbb dda bb ad fddde ede bb add bb adf ddda da fbb edd gbf edf dddd dd bb fdd bb ede adddf dd fbb ddf fbg fde eddde adf bbf dde gbf da eddde fda fbb dda bb da fddda dd bbf dda fbg dd dd dd bb add bb dd ad bbedd bb dd ede bbd cbc dd dd bbf bb dd dd ddbb bb dd dd ddabbf gbf dd ad add bb bb dd ede add gbc fbg ad daedd bb bb ad dddd gbc bb adf dddf bb cbc ede dde gbc bb ede e bb bb fde gbc gbf da bb bb da gbc fbg dd bb bb dd cbc bb dd bbcbc dd cbbb dd bbb dd cbf dd dd ad ad edf ede ede fda ef ``` <!-- end of image -->
[ "" ]
Alright, let's get to work and investigate this image for intersections. It's crucial to examine these regions more closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#69c1e5ff b,#b5e2f5ff c,#b1d7b1ff d,#4cc1f5ff e,#ebf5f3ff f,#96ca96ff g,#8bccd0ff ``` ```image e a ae ge bb bb eg a a a a e a ebgaaaaaaa a ebbgaaaaaagbe ge a ebbaaaaaaabbe ea agaaaaaagbbe a ee ae ea a ae eg a e ae a bg a a eg ade a ge bdb dde bg a bda edd a a bda bda a a edd bdb bb bb dde ade a ae dde dde effffffafffffffffffffffffffffffffffffffffafffffc e edd eccccccggccccccccccccccccccccccccccccccccacccccf bda ecccccccaccccccccccccccccccccccccccccccccacccccf bdb ecccccccacccccccccccccccccccccccccccccccggcccccf adb ecccccccggccccccccccccccccccccccccccccccaccccccf dde eccccccccaccccccccccccccccccccccccccccccaccccccf edd eccccccccaccccccccccccccccccccccccccccccaccccccf bdaccccccccggccccccccccccccccccccccccccccggccccccf bdgcccccccaccccccccccccccccccccccccccccggccccccf ecadgcccccaccccccccccccccccccccccccccccacccccccf ecccddccccggcccccccccccccccccccccccccccacccccccf ecccccddcccacccccccccccccccccccccccccccacccccccf eccccccgdacaccccccccccccccccccccccccccggcccccccf eccccccccgdagcccccccccccccccccccccccccaccccccccf eccccccccccaagccccccccccccccccccccccccaccccccccf ecccccccccccaddcccccccccccccccccccccccaccccccccf ecccccccccccaccddcccccccccccccccccccccaccccccccf eccccccccccccaccgdaccccccccccccccccccggccccccccf eccccccccccccaccccgdaccccccccccccccccacccccccccf eccccccccccccaccccccadgccccccccccccccacccccccccf ecccccccccccccacccccccddcccccccccccccacccccccccf ecccccccccccccacccccccccddccccccccccggcccccccccf ecccccccccccccaccccccccccgdaccccccccggcccccccccf ecccccccccccccggcccccccccccgdaccccccaccccccccccf eccccccccccccccacccccccccccccadgccccaccccccccccf eccccccccccccccacccccccccccccccddcccaccccccccccf eccccccccccccccggccccccccccccccccddggccccccccccf ecccccccccccccccaccccccccccccccccccaaccccccccccf ecccccccccccccccaccccccccccccccccccagdaccccccccf ecccccccccccccccggcccccccccccccccccaccadgccccccf eccccccccccccccccacccccccccccccccccaccccadgccccf eccccccccccccccccaccccccccccccccccggccccccddcccf eccccccccccccccccggcccccccccccccccaccccccccccccf ecccccccccccccccccacccccccccccccccaccccccccccccf ecccccccccccccccccaccccccccccccccacccccccccccccf ecccccccccccccccccggccccccccccccagcccccccccccccf eccccccccccccccccccaccccccccccccaccccccccccccccf eccccccccccccccccccacccccccccccacccccccccccccccf eccccccccccccccccccggcccccccccagcccccccccccccccf ecccccccccccccccccccaccccccccgaccccccccccccccccf ecccccccccccccccccccaccccccccacccccccccccccccccf efccccccccccccccccccggccccccagcccccccccccccccccf eeeeeeeeeeeeeeeeeeeeaeeeeebaeeeeeeeeeeeeeeeeeee a a ge ab ea ba a a aeab eaa a ``` <!-- end of image --> Time to investigate area A up close. <!-- image --> ```palette Key,Color ,#fefefeff a,#66bfe5ff b,#b1dff4ff c,#93d4f0ff d,#4bc1f6ff e,#e8f6fbff f,#79caedff g,#cfebf8ff ``` ```image bab eaa eaf gac fae bab bab cag eaf aae fae eaf bab gac gaf bab fae fag bab aa gaf eaf aae bab cab cag gac fae aae aa fe cab gac ddce gac bab bdddc aae cag ecdddb cag fae efddag gac eaf gfddfg aa gac bdddce cag bab bdddc gac fag ecdddb eaa aa efddag cag eaf gfddfg bac bab bdddcgaa cag bdddfag fae ecddaf aa efaaag gac faddfg bab bacdddce cag eaf bdddce fae fae ecdddb eaf bab efdddg gac eaf gfddfg bab fae gaddfe cag bab bdddce aa gaf ecdddb eaf fae ecdddb bac bab gfddfg cag gaf gaddfe fae aae bdddce aa cab ecdddb gac gac ecdddb bab aae gfddfg cag cab gaddfe fae gac bdddce eaf aae cdddb gac cag ecdddb bab gac gfddfg cag aa gaddfe aa cag bdddce eaf gac bdddbbac eaa ecddaag cag efaaag bac aaddfe eaa gacbdddce fag bab bdddc bac cag ecdddb eaf fae efddag fag eaf gfddfg bab gac bdddce eaf bab bdddc fae cag ecdc bab aa ee eaf bac fae gaae bab fab gaf baf fae gaae bab fab gaf bac aae gaae cab fab gac cac aae gaae cab fab gac cac aae gaae cag fab gac cac aa gaae cag efag ``` <!-- 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,#66bfe5ff b,#b7e2f4ff c,#99d6f1ff d,#4cc1f7ff e,#e7f5fbff f,#7bcbeeff g,#d0ecf8ff ``` ```image g a fe cg bb gc ef a a a a e a gbcaaaaaaa a egbfaaaaaacbg fg a ebcfaaaaafcbe ea fcfaaaaafcge a eg fe ef a fe gf a e ae a gc a a gc fdg a cg cdc dde bc a bdf edd a a gdf bdf a a edd cdb bc bc dde fdg a fe dde dde a a e edd bb a gdf a ef cdc a cb fdg cb a dde a a edd a a gdf cb gc cdc a cg fdg a a dde cg a edd ea a gdf a bc bdag fe fab a adde a feedd ef ef gdf bb a bdc a fe fdb a gf ade a a edd gc ae gdf cg gc bdc a a cdb a a ade a bc ddbc a eaa a abdc bc a cdb a ef fdg a bb dd bb a e a ga a a cb fb a ga a a cb fb a ga a a cg fb ea ga a a fg ag ea ga a a feag eaa a ``` <!-- 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,#9b073eff b,#44eedeff c,#a44b68ff d,#b1d7b1ff e,#81e9d4ff f,#96c697ff g,#b88d94ff ``` ```image ag aac aaa caa daa aag ebe aac bbe aaa bbbe caa bbbb daa bbebb aag ebb bb aac bb bb aaa gac bbe bb gaa aa ebb bb daa aa bb bb aag aad bbb bb aac gac bb bb aaa ffffaaffffffffffbbefffffbbfffffffffffffffffffffff gaa ddddaadddddddddebbddddddbbddddddddddddddddddddddd aa ddddaagddddddddbbdddddddbbddddddddddddddddddddddd aag ddddgacdddddddbbbdddddddbbddddddddddddddddddddddd aaa dddddaadddddddbbddddddddbbddddddddddddddddddddddd caa dddddaaddddddbbeddddddddbbddddddddddddddddddddddd gaa dddddaagddddebbdddddddddbbddddddddddddddddddddddd aad dddddgaaddddbbddddddddddbbddddddddddddddddddddddd aag ddddddaadddbbbddddddddddbbddddddddddddddddddddddd aaa ddddddaaddebbdddddddddddbbddddddddddddddddddddddd caa ddddddaagdbbedddddddddddbbddddddddddddddddddddddd gaa ddddddgaabbbddddddddddddbbddddddddddddddddddddddd aad dddddddaabbdddddddddddddbbddddddddddddddddddddddd aac dddddddaabedddddddddddddbbddddddddddddddddddddddd aaa dddddddaafddddddddddddddbbddddddddddddddddddddddd caa dddddddfaaddddddddddddddbbddddddddddddddddddddddd gaa ddddddbbaaddddddddddddddbbddddddddddddddddddddddd aad ddddddbbaaddddddddddddddbbddddddddddddddddddddddd aac dddddbbecagdddddddddddddbbddddddddddddddddddddddd aaa ddddebbdgaadddddddddddddbbddddddddddddddddddddddd caa ddddbbdddaadddddddddddddbbddddddddddddddddddddddd daa dddbbbdddaadddddddddddddbbddddddddddddddddddddddd aag dddbbddddcagddddddddddddbbddddddddddddddddddddddd aac dddbeddddgaaddddddddddddbbdddddddddddddddddddddddaaa ddddddddddaaddddddddddddbbddddddddddddddddddddddcaa ddddddddddaaddddddddddddbbdddddddddddddddddddddgaa ddddddddddcacdddddddddddbbdddddddddddddddddddddaag ddddddddddgaadddddddddddbbddddddddddddddddddddaac dddddddddddaadddddddddddbbdddddddddddddddddddaaad dddddddddddaadddddddddddbbddddddddddddddddddcaadd dddddddddddcacddddddddddbbdddddddddddddddddgaafdd dddddddddddgaaddddddddddbbeddddddddddddddddaagddd ddddddddddddaaddddddddddbbedddddddddddddddaaadddd ddddddddddddaaddddddddddbbeddddddddddddddaaaddddd ddddddddddddcacdddddddddbbedddddddddddddcaadddddd ddddddddddddfaadddddddddebeddddddddddddfaafdddddd dddddddddddddaadddddddddebeddddddddddddaacdbbbddd dddddddddddddaadddddddddebedddddddddddaaadbbbbbbd dddddddddddddcacddddddddebeddddddddddaaadbbbdebbbe dddddddddddddfaaddddddddebedddddddddcaaebbbddddbbbb ddddddddddddddaaddddddddebeddddddddfaafbbbddddddfbbbe ddddddddddddddaafdddddddebeddddddddaacbbedddddddd ebbb ddddddddddddddcacdddddddebedddddddaaabbdddddddddd bbbe ddddddddddddddfaadddddddebbddddddaaabbddddddddddd ebbb dddddddddddddddaadddddddebbdddddgaabbdddddddddddd bbbb dddddddddddddddaafddddddebbddddfaabeddddddddddddd ebbb dddddddddddddddcacddddddebbddddaacddddddddddddddd bbbb ddddddddddddddddaadddddddbbdddaaadddddddddddddddd bbbe ddddddddddddddddaadddddddbbdecaaddddddddddddddddd bbbb ddddddddddddddddaafddddddbbbfaadddddddddddddddddd bbbe ddddddddddddddddcacddddddbbbaagdddddddddddddddddd ebbb dddddddddddddddddaaddddddbbaacddddddddddddddddddd bbbe dddddddddddddddddaaddddddbaaadddddddddddddddddddd ebbb dddddddddddddddddaagdddddcaaddddddddddddddddddddd bbbb dddddddddddddddddcacddddgaadddddddddddddddddddddd ebbb ddddddddddddddddddaaddddaagdddddddddddddddddddddd bbbb ddddddddddddddddddaadddaacddddddddddddddddddddddd bbbe ddddddddddddddddddaagdaaadddddddddddddddddddddddd bbbb ddddddddddddddddddcaccaaddddddddddddddddddddddddd bbbe dddddddddddddddddddaaaadddddddddddddddddddddddddd ebbb dddddddddddddddddddaaagdddddddddddddddddddddddddd bbbe dddddddddddddddddddaacddddddddddddddddddddddddddd ebe ffffffffffffffffffffcffffffffffffffffffffffffffff ``` <!-- end of image --> This close-up might reveal an intersection in area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#9b063eff b,#44eedeff c,#a9436cff d,#e5c1cfff e,#88f3e9ff f,#c7f9f5ff g,#c3819cff ``` ```image daaa ebbbbf bbb aaad fbbbbe bbbf caag bbbbb bbbf gaac ebbbbf bbbf daaa bbbbe bbbf aaag fbbbe bbbf aaac bbbb bbbf aaaa ebbbf bbbf aaaad fbbbe bbbf caaag ebbb ebbf gaaac fbbbf ebbf daaaa bbbb ebbf aaaad ebbbb ebbf caaag fbbbbe ebbf daaaa ebbbbf ebbf aaaad bbbbe ebbe caaag ebbbbf ebbe gaaac fbbbbe ebbe daaaa bbbbb ebbe aaaad bbbbf ebbe gaaag fbbbe ebbe daaaa ebbb ebbe aaaafbbbe ebbe gaaacbbf ebbe daaaabe ebbe aaaab ebbe caaag fbbe caaac fbbe ebaaaa fbbe fbbaaaa fbbe bbbcaaa fbbe fbbbcaaa fbbe bbbbgaaa fbbe fbbbbe caag fbbb bbbbb gaac fbbb bbbbf daaa fbbb bbbe aaad fbbb ebbbf caag fbbb fbbbe gaac fbbb bbbb daaa fbbb ebbbf aaad fbbb fbbbe caag fbbb ebb daaa bbb fe aaad bbb aaag bbb c aaac bbb ga aaaa bbb daa aaaad bbb daaa caaag bbb caaa gaaac bbb caaaa daaaa bbbf aaaac caaag bbbf aaaad gaaac bbbf caaag daaaa bbbf gaaag aaaad bbbf gaaac caaag bbbf daaaad gaaac bbbf aaaaa daaaa bbbf caaaag aaaad bbbf gaaaac caaag ebbf gaaaac gaaac ebbf daaaaad aaaad ebbf aaaag caaag ebbf gaaac gaaac ebbf daaac daaaa ebbf daaaad aaaa ebbe aaaad ebbe caaa ebbe caaag ebbbbf gaaa ebbe gaaaa fbbbbbbbe daaa ebbe daaaac fbbbbbbbbbbf aaad ebbe daaaaadebbbbbbebbbbbe gaac ebbe caaaagfbbbbbe ebbbb daaa ebbe gaaaacfbbbbbf fbbb aaad ebbe aaaaaebbbbbf eb caag ebbe daaaaebbbbe f gaac ebbe caaagbbbbb daaa ebbe caaacbbbbbf aaad fbbe gaaacbbbbbf gaag fbbe daaaabbbbe daaa fbbe daaaabbbbe aaag fbbe caaaacbbf aaac fbbe gaaaacbb aaaa fbbe daaaaabb aaaad fbbb daaaaabbe caaag fbbb caaaagbf gaaac fbbb caaaacbf daaaa fbbb aaaace aaaad fbbb fbaaaae caaag fbbb fbaaaad gaaac fbbb ebcaaag aaaad fbbb bbgaaac caaag fbbbbbbaaaad gaaac bbbbbaaaaa daaaa bbbbcaaaag aaaad bbbcaaaac caaag bbgaaaac gaaac bbaaaaad daaaa aaaaad aaaad aaaag gaaac daaac daaaa daaaad aaaa caaad caaa caaag gaaa gaaaa daaa daaaaa aaad daaaaad caag caaaad gaac caaaag aaaaaaaa caaaaaad gaaaaag daaaag aaac ``` <!-- end of image --> As I suspected, there's 2 intersections within area A. Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#9b063eff b,#43eedeff c,#b0456eff d,#e8c6d3ff e,#7ff2e8ff f,#c1f9f4ff g,#c886a0ff ``` ```image ag aac aaa caa daa f aag ebe aac bbe aaa bbbe caa fbbbb daa bbebb aag ebbfbb aac bb fbb aaa gac bbe bb gaa aa fbb bb daad aa bbf bb aag aad bbb bb aac gac bb bb aaa aa bbe bb gaa aa ebb bb daad aad bb bb aag gac bbb bb aaa aa fbb bb caa aa bbf bb gaa aad ebb bb daad gac bb bb aag aa bbe bb aaa aa fbb bb caa aag bbf bb gaa gaaebb bb daad aabb bb aac aabe bb aaa cag bb caa baa bb gaa ebaa bb aad bbaa bb aac bbecag bb aaa fbb daa bb caa bb aa bb daa bbb aa bb aad fbb cag bb aac bf daa bb aaa aa bb caa aa bb daa cag bb aag daa bb aac aa bbf aaa aa bbf caa cag bbf daad daa bbf aag aa ebf aac aa ebf aaa cag ebf gaa daa ebf daad aa ebf aag ebbf aa ebe aac bbbbbb cag ebe caa bbb fbbbf daa ebe gaafbbb bbbb aa ebe daaebbe fbbbe aad fbe aacbbf ebbb cac fbe aaabb bbbe daa fbe caabb ebbb aa fbe gaabe bbbe aad fbe daabf fbbbf gac fbb aacf bbbb aa fbb aaa fbbbf aa fbb fcaa bbbb aad fbbegaa fbbbe gac bbbaad ebbb aa bbaac bbbe aa baaa ebbbf aad caa bbbb gac daa fbbbf aa aad bbbb aa aac fbbbf aad aaa bbbb gaccaa fbbbe aaaa ebbb aaag bbbe aac ebe g ``` <!-- end of image -->
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I'm approaching this image with caution. Intersections might be tricky to spot. The image has some tight areas where segments are too close. I should investigate those closely. <!-- image --> ```palette Key,Color ,#fefefeff a,#093136ff b,#868879ff c,#4f291eff d,#b2d7b2ff e,#3a5f5cff f,#98c097ff g,#6d5648ff ``` ```image fdddddddddddddddddddddddddddddddddddddddddddddddddd fdddddddddddddddddddddddddddddddddddddddddddddddddd fddddddddddddddddddddddddddddddddddddddddddddbbdddd fddddddddddddddddddddddddddddddddddddddddddddcccfdd bg fddddddddddddddddddddddddddddddddddddddddddddcccddd ccc fdddddddddddddddddddddddddddddddddddddddddddbcccddd cccb fdddddddddddddddddddddddddddddddddddddddddddcccaedd dccc fddddddddddddddddddddddddddddddddddddddddddecccaddd cccd fdddddddddddddddddddddddddddddddddddddddddaacccdddd bccc fddddddddddddddddddddddddddddddddddddddddaacccgdddd ccc fdddddddddddddddddddddddddddddddddddddddaaacccfdddd gccg ccgddddddddddddddddddddddddddddddddddddddaaaacccddddd ccc ccccdddddddddddddddddddddddddddddddddddddaaaagcccddddd cccb cccccgddddddddddddddddddddddddddddddddddfaaaafcccbddddd dccc cccccccdddddddddddddddddddddddddddddddddfaaaafdcccdddddd cccd ccccfcccgdddddddddddddddddddddddddddddddfaaaaddfcccdddddd bccc gcccb dcccddddddddddddddddddddddddddddddbaaaadddgccgdddddd ccc gcccb cccbddddddddddddddddddddddddddddeaaaaddddcccddddddd gccg gcccb bcccdddddddddddddddddddddddddddeaaaadddddcccddddddd ccc gcccg fcccbdddddddddddddddddddddddddeaaaadddddbccgddddddd cccb gcccg fbcccddddddddddddddddddddddddaaaaaddddddcccfddddddd dccc bcccg fdcccfddddddddddddddddddddddaaaaedddddddcccdddddddd cccd bcccg fdgcccdddddddddddddddddddddaaaaedddddddbcccdddddddd bccc bcccg fddcccddddddddddddddddddddaaaabddddddddcccbdddddddd ccc fcccc fddgcccddddddddddddddddddaaaabdddddddddcccddddddddd gccg fcccc fdddcccdddddddddddddddddaaaafdddddddddfcccddddddddd ccc dcccc fdddcccgddddddddddddddfaaaafddddddddddgccgddddddddd cccb dcccc fdddfcccdddddddddddddfaaaaddddddddddddcccfddddddddd dccc dcccc fddddcccgdddddddddddbaaaadddddddddddddcccdddddddddd cccddcccc fddddfcccddddddddddbaaaadddddddddddddbcccdddddddddd bccccccc fdddddcccbddddddddeaaaaddddddddddddddcccbdddddddddd cccccc fdddddbcccdddddddeaaaadddddddddddddddcccddddddddddd gcccc fddddddcccbdddddaaaaadddddddddddddddfcccddddddddddd ccc fddddddbcccddddaaaaeddddddddddddddddgccgddddddddddd dg fdddddddcccfddaaaaedddddddddddddddddcccdddddddddddd fdddddddgcccdaaaaeddddddddddddddddddcccdddddddddddd fddddddddcccaaaabddddddddddddddddddgccgdddddddddddd fddddddddgcccaafdddddddddddddddddddcccfdddddddddddd fddddddddfcccafddddddddddddddddddddcccddddddddddddd fdddddddfacccgddddddddddddddddddddbcccddddddddddddd fddddddbaaacccddddddddddddddddddddcccbddddddddddddd fdddddbaaaacccgdddddddddddddddddddcccdddddddddddddd fddddeaaaadfcccddddddddddddddddddfcccdddddddddddddd fdddeaaaadddcccbdddddddddddddddddgccgdddddddddddddd fddaaaaaddddbcccdddddddddddddddddcccfdddddddddddddd fdaaaaeddddddcccfddddddddddddddddcccddddddddddddddd faaaaedddddddbcccdddddddddddddddbcccddddddddddddddd aaaaedddddddddcccfddddddddddddddcccbddddddddddddddd aaaabddddddddddgcccddddddddddddddcccdddddddddddddddd aaaafddddddddddddcccdddddddddddddfcccdddddddddddddddd aaaafdddddddddddddgcccddddddddddddgccbdddddddddddddddd daaaafdddddddddddddddcccddddddddddddcccddddddddddddddddd daaaa fdddddddddddddddcccgdddddddddddcccddddddddddddddddd faaaa dffffffffffffffffcccffffffffffgccgfffffffffffffffff daaaa cccb cccd daaaa dccc ccc daaaa cccf fccc daaaa fccc cccf aaaa cccd ccc aaaa bccc ccc aaaa ccc gccb aaaa gccccgbbccc aaaa cccccccccc aaaa gccccccccg aaaa ddfbgg aaaa aaaa aaaad aaaad aaaad aaaad aaaaf aaaaf eaaab eaaab eaaab eaaae eaaae baaae baaae baaaa faaaa daaaa faa f ``` <!-- end of image --> Let's see if area A yields any clues. <!-- image --> ```palette Key,Color ,#fefefeff a,#093036ff b,#968d89ff c,#4f291eff d,#bab7b5ff e,#315156ff f,#dddddcff g,#74615bff ``` ```image bbf fcccccd dccccc gccccg cccccd dcccccf bccccce cccccaae ecccccaad feacccccaf feaccccccf feaacccccd faaaaccccc daaaaacccccd daaaaaacccccf bf baaaaaacccccc cg aaaaaaacccccc ccd gaaaaaaacccccc ccg gaaaaaaabcccccc cccd eaaaaaaadgcccccg cccg feaaaaaaaf ccccccd ccccf feaaaaaaef dccccccf ccccg feaaaaaaef bcccccg cccccf faaaaaaaef ccccccb cccccb daaaaaaaa fccccccf ccccccf daaaaaaaag bcccccc gcccccc baaaaaaaab fccccccd dcccccc baaaaaaaab dcccccc gccccc aaaaaaaad gcccccg dcccccd gaaaaaaad ccccccd cccccg eaaaaaaad dccccccf bcccccd feaaaaaaaf bcccccg cccccg feaaaaaaef gcccccb bcccccf feaaaaaaef fccccccf fcccccg faaaaaaaef bcccccc bcccccf daaaaaaae gcccccg fcccccb daaaaaaaa ccccccd gcccccf daaaaaaaag dcccccc gccccc baaaaaaaab ccccccb dcccccb baaaaaaaab ccccccf cccccc gaaaaaaaad cccccc ccccccd aaaaaaaad cccccb ccccccg eaaaaaaad fcccccd bccccccd feaaaaaaef dccccc ccccccg feaaaaaaef gccccg bccccccf faaaaaaaef cccccd fccccccg daaaaaaae dcccccf bccccccf daaaaaaae bccccg fccccccb daaaaaaag cccccb gccccccf baaaaaaaa fcccccf gcccccc baaaaaaaab gccccb dccccccb gaaaaaaaad cccccd gcccccc eaaaaaaaad dccccc dccccccd aaaaaaaad bccccg ccccccg feaaaaaaaf cccccb bcccccc feaaaaaaef fcccccf cccccc feaaaaaaef bccccc bcccccf faaaaaaaef gccccb fcccccg daaaaaaae fcccccd bcccccf daaaaaaag dccccc fcccccb daaaaaaab gccccc gcccccf baaaaaaaa cccccc fcccccbbaaaaaaaab dcccccc dcccccaaaaaaad ccccccb gcccccaaaaad fccccccf dcccccaaaaf bcccccc fccccccaef gcccccb feacccccef ccccccd faaacccccg dcccccc daaaaccccccf gcccccg daaaaaccccccg ccccccb daaaaaacccccccf fccccccf baaaaaaagccccccb bcccccg baaaaaaaa gccccccf gcccccb gaaaaaaaad fccccccb fccccccd eaaaaaaaad dccccccd gcccccg eaaaaaaaaf gcccccc ccccccd faaaaaaaef dccccccd dccccccf feaaaaaaef ccccccg bcccccg faaaaaaaef bccccccd ccccccb daaaaaaae ccccccg fccccccf daaaaaaag bccccccf bcccccc daaaaaaag fccccccg gcccccb baaaaaaab bcccccc ccccccd aaaaaaab fcccccc cccccc aaaaaaa gcccccf cccccg aaaaaad fcccccb cccccd aaaaad gccccc fcccccf aaef gccccc gccccb aef dcccccd fcccccd ef cccccg dccccc bcccccd gccccg cccccg cccccd bcccccf dcccccf ``` <!-- 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,#093036ff b,#918784ff c,#4f291eff d,#b6b2b0ff e,#3e5d62ff f,#d9d8d8ff g,#74564eff ``` ```image bb cccf bg ccc ccc dccc cccb cccae fccc eccca cccd aaccc bccc aacccg ccc aaacccf gccg ccg aaaaccc ccc cccc aaaabccc cccb cccccg faaaafcccd fccc ccccccc faaaaf ccc cccd ccccbcccb daaaa fccc bccc gcccb fccc daaaa gccb ccc gcccb cccd baaaa ccc gccg gcccb dccc eaaaa ccc ccc gcccg cccd eaaaa bccg cccb gcccg bccc eaaae cccf fccc bcccg cccf aaaae ccc cccd bcccg gccc aaaae dccc bccc bcccg ccc aaaab cccb ccc dcccc gccc aaaad ccc gccg dcccc ccc aaaaf fccc ccc dcccc cccg faaaaf gccg cccb dcccc fccc faaaa cccf fccc fcccc cccb daaaa ccc cccdfcccc fccc baaaa dccc bccccccc cccd eaaaa cccd cccccc dccc eaaaa ccc gcccc cccd eaaae fccc ccc bccc aaaae gccb dg cccf aaaae ccc gccc aaaab ccc cccaaaad bccg gcccaad cccf fcccaf ccc facccg dccc daaaccc cccd baaaacccb ccc baaaa fccc fccc eaaaa cccd gccg eaaaa dccc cccf aaaae cccd ccc aaaae bccc bccc aaaab cccf cccd aaaad gccc ccc aaaad ccc fccc faaaaf gccg gccb faaaaf ccc ccc daaaa cccg ccc daaaa fccc bccg daaaa cccb cccf daaaa fccc ccc faaaa cccd dccc faaaa dccc cccd faaaa cccf ccc faaaa bccc fccc aaaa cccf gccb aaaa gccccgbbccc aaaa cccccccccc aaaa gccccccccg aaaa fdbbgg aaaaf aaaaf aaaaf aaaaf aaaad aaaad aaaad aaaab eaaab eaaab eaaae eaaae eaaae baaae baaae baaaa daaaa faaaa baa d ``` <!-- end of image -->
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I'm on the case! Let's uncover any intersections hidden in this image. I'd describe these as 'hotspots' for potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#a326a5ff b,#e7bbdaff c,#b87ab9ff d,#f1f1f0ff e,#f59f8cff f,#96c996ff g,#b1d6b0ff ``` ```image d a dc a ca c aa cd acd cb adc bb a a bc c a dc bb cd c cd dc a a a a a a a a cb a a dc a dc a a cb a a a cb a a c a a a a a a a c cb cd bb a cd cd a bb a a bb a bb bc a a dc a a c dc a a cb bb a dad a a a a a a a a ad da a a a cc ba a bb a da cc c a a a ad bb a a ad a cd a cc da a a ba ba a dddddcddddddddad cc a fggggcfggggggagf ab a gggggcggggggacgf a dc gggggccggggcaggf a cb gggggccggggagggf ba a ggggggcgggaggggf cc a ggggggcggacggggf ab dddddddddddddddddddddddddddadddddddddd ggggggagcagggggf ad dfggggggggggggggggggggggggggagggggggggf ggggggagaggggggf a dgggggggggggggggggggggggggggagggggggggf e ggggggaagggggggf da dggggggggggggggggggggggggggccgggggggggf ee ggggggaggggggggf cc dggggggggggggggggggggggggggcggggggggggfbed ggggggcggggggggf abdggggggggggggggggggggggggggaggggggggggeb gggggggggggggggf adggggggggggggggggggggggggggaggggggggeef gggegggggggggggf aggggggggggggggggggggggggggaggggggeeggf ggggeggggggggggf dagggggggggggggggggggggggggagggggeggggf gggggeeggggggggf dcaggggggggggggggggggggggggcgggeegggggf fgggggeegggggggf dgacggggggggggggggggggggggccgeegggggggf dddddddbeddddddd dggaggggggggggggggggggggggaeegggggggggf ed dgggagggggggggggggggggggggeeggggggggggf eb dggggaggggggggggggggggggeeagggggggggggf ee dggggcagggggggggggggggeeggagggggggggggf be dgggggacgggggggggggggeegggagggggggggggf ded dggggggaggggggggggggeggggccgggggggggggf eb dgggggggagggggggggeegggggcggggggggggggf ee dggggggggagggggggeeggggggaggggggggggggf be dggggggggcagggggeggggggggaggggggggggggf ded dgggggggggccggeegggggggggaggggggggggggf eb dggggggggggageeggggggggggaggggggggggggf ee dgggggggggggeggggggggggggcggggggggggggf be dgggggggggeegaggggggggggccggggggggggggf de dggggggggeegggagggggggggagggggggggggggf ed dgggggggegggggccggggggggagggggggggggggf ee dgggggeegggggggacgggggggagggggggggggggf be dggggeegggggggggagggggggagggggggggggggf de dgggeggggggggggggaggggggagggggggggggggf ed dgeeggggggggggggggaggggccgggggggggggggf ee deegggggggggggggggcagggcggggggggggggggf be deggggggggggggggggggacggaggggggggggggggf de eedgggggggggggggggggggaggaggggggggggggggf eeb dggggggggggggggggggggagaggggggggggggggf dfffffffffffffffffffffaaffffffffffffffg bc ``` <!-- end of image --> I'm now examining the contents of area A in detail. <!-- image --> ```palette Key,Color ,#fefefeff a,#a11da4ff b,#febbb0ff c,#c87ccaff d,#f4e1efff e,#fe9a8aff f,#deb2dfff g,#b349b5ff ``` ```image ga cac cad fag cad daad cad gaf caf cac faf fag faf daad faf gaf fac cac dac fag dac daad dac gaf ag cac ag fag ag daad gg dgaf ga gac gacag caagd caad caf df bb eeb beed beed deeb deeb beed ``` <!-- end of image --> My analysis shows that the lines in area A do not cross. 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,#a21fa4ff b,#febeb3ff c,#c97fcbff d,#f7e0e7ff e,#fd9788ff f,#deb2dfff g,#b64eb6ff ``` ```image faf cad ga ga ag dac faf caf cad ga ag d dac be fac deee faf deeeb c cad beeb af ga beebd aad ga deeed faad ag dbeeb fag dac beeb cac faf beeed gaf caf deeed daaf caddbeeb daad gabeebd fag geeed cac deeeb gac beegc daaf beebfaf daad deeed cad fag beeb ga cag deebd ga gac deeb ag gaf beed dac daad deeb faf fag deeb caf cag beed cad gac deeb ga gaf deeb ag daad beed dac faad deeb fac cag deeb faf cac beed cad gaf deeb ga daaddeeb ga faeeed ag deeed dac deeeac faf beed gaf caf deeb daaf cad deeb daad ga beed fag ag deeb cac dac beeb gac fac beed daaf faf deeb daad cad beeb fag ga beed cag ga deeb gac ag beeb gaf dac beed daad faf deeb fag caf beeb cag cad eed gac ga b gaf ag daad dac faad fac cag faf cac cad gafga ``` <!-- end of image --> Bingo! This close-up reveals 2 intersections in area B! Answer: A: 0; B: 2; 0 + 2 = 2 I can confirm there's two intersections in there.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#a11ea4ff b,#fec1b8ff c,#c87ccaff d,#f5e1edff e,#fe9989ff f,#deb0dfff g,#b349b5ff ``` ```image d a dc g ca g ga cd acd cf adc ff a a fc g a dc ff cd g cd dc g a a a a a a a cd a g dg a dc a a cf a a g cf a a g a a a a a a g g cf c ff g cd cd a ff a a ff a ff dc a g dc g a g dc a g cf ff a dad g a a a a a a a ad da a g a cc fg a ff a da gc g a a a ad ff a a ad a cd a gc a a g fg fg a g a cc a cd a ad g cd gf a dc ff fg a cf ff a da g dc a cc a dc gf gf a g fg a a gda a g e aa da ff ee ad cg cd bed f gf a deb ad a ee b a a be ed da g ded eb fg dc eb be gf cf ee de ad gbed ed a deb eb da eea be fg be a de gc eb g ed ad de ff eb a be cd ee a eb a be fg de a e cc be a eb adeb a eb ded dc be be a cf de eb da g ed de cc a eb be gf a be eb a a de de a g ed be da ff eb eb cg cd be de gf a de be ad a eeb a a daa fc ``` <!-- end of image -->
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This image looks interesting. I wonder if there are any intersections hidden in there? These zones indicate regions where lines appear to be in close proximity. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4ad4fff b,#e5ddcfff c,#b1d7b0ff d,#e8c485ff e,#f2f3edff f,#c5c3bdff g,#96ca96ff ``` ```image e fff ffff fffff ffffff fffffff ffff fff ffffe fff ffffe fff ffffe fff ffffe fff bfffe bffe bfffbeeeeeebffbeeeeee bfffcccccccccffccccccc bfffccccccccccffccccccc efffbgcccccccccfffcccccc ead effff gcccccccccfffcccccc aaab effff gcccccccccfffcccccc daaa effff gcccccccccfffcccccc aaaa effff gcccccccccfffcdcccc aaad ffff gcccccccccfffdaaccc baaae ffff gcccccccccfffaaadcc daaa ffff gcccccccccffaaaaccc aaaa ffff gcccccccccfaaaacccc aaab ffff gcccccccccdaaaccccc baaa ffff gcccccccccaaadccccc aaaa ffff gccccccccaaaacccccc aaad ffff gcccccccdaaafcccccc eaaae ffffe gcccccccaaaffcccccc daaa ffffe gccccccaaadffcccccc aaaa ffffe gcccccaaaafffcccccc aaad ffffe gccccdaaaccffcccccc baaae bfffe gccccaaacccffcccccc daaa bfffb gcccaaaacccfffccccc aaad bfffb gccaaaaccccfffccccc eaaab bfffb gcdaaacccccfffccccc daaa efffb gcaaadcccccfffccccc aaaa effff gaaaaccccccfffccccc aaad effff aaaagggggggfffggggg eaaae effff baaae fff daaaeeeeeeeeeeeeeeeeeeffff aaad fff egaaaaccccccccccccccccffff aaaa fff eccaaadccccccccccccccffff daaa fffff eccdaaacccccccccccccffffg eaaae fffff ecccaaaacccccccccccffffcg aaad fffff eccccaaaacccccccccffffccg aaaa fffff ecccccaaaccccccccffffcccg daaa fffff ecccccdaaaccccccffffccccg eaaab bffff eccccccaaaaccccffffcccccg aaad bffff ecccccccaaadccffffccccccg aaaa bfffb eccccccccaaacffffcccccccg baaa efffb eccccccccaaaafffccccccccg aaab efffe ecccccccccaaaafcccccccccg aaaa efffe ecccccccccfaaadcccccccccg daaa fff eccccccccffdaaacccccccccg baaae fff ecccccccffffaaaaccccccccg aaad fff ecccccccffffcaaadcccccccg aaaa fff eccccccffffcccaaacccccccg daaa fff ecccccffffccccdaaaccccccg eaaae fff eccccffffccccccaaaacccccg aaad eb ecccffffccccccccaaadccccg aaaa eccffffccccccccccaaaccccg daaa ecffffcccccccccccaaaacccg eaaab effffcccccccccccccaaaaccg aaad ffffcccccccccccccccaaadcg aaaa ffffccccccccccccccccdaaacg baaa ffffggggggggggggggggggaaaac aaab ffff aaad aaaa ffff eaaae daaa ffff daaa baaae ffffe aaaa aaad ffffe aaaaaaa ffffe baaaaa ffffe aaaae bfffe aad bfffb bfffb bfffb efffb effff ffff eff e ``` <!-- end of image --> I'm going to scrutinize area A for any signs of an intersection. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4ad4eff b,#dad8d5ff c,#fbe4c6ff d,#f8d19cff e,#f5f1ebff f,#c5c3bdff g,#f3bc74ff ``` ```image gaaaaaad ff eaaaaaaac fff caaaaaaae ffff daaaaaag bffff gaaaaaad bfffff eaaaaaaae bffffff caaaaaag bfffffff daaaaaad bfffffffb gaaaaaac bfffffffb caaaaaaae bfffffffb daaaaaag bfffffffb gaaaaaad bfffffffb eaaaaaaac efffffffb caaaaaaae efffffffb daaaaaag efffffffb gaaaaaac effffffff eaaaaaaae effffffff caaaaaag effffffff gaaaaaad effffffffe egaaaaaac effffffffe caaaaaaaeeffffffffe daaaaaagffffffffe gaaaaaagffffffe eaaaaaaafffffe caaaaaaafffe daaaaaagfe baaaaaaad bffaaaaaaae bfffgaaaaaag bfffffgaaaaaad bfffffffaaaaaaac bfffffffbcaaaaaaae bfffffffb daaaaaag efffffffb gaaaaaad efffffffb eaaaaaaae efffffffb caaaaaag effffffff daaaaaad effffffff gaaaaaac effffffff eaaaaaaae effffffffe daaaaaag effffffffe gaaaaaad effffffffe eaaaaaaac ffffffffe caaaaaaae ffffffffe daaaaaag ffffffffe gaaaaaac bfffffffe eaaaaaaae bfffffffe caaaaaag fffffffe daaaaaad ffffffb gaaaaaac fffffb caaaaaaae ffffb daaaaaag ``` <!-- end of image --> I've cracked the case! This area contains 1 intersection. I'm ready to analyze the next area. Here's a close-up of the area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#f4ad4eff b,#dcdbd7ff c,#fadebaff d,#f0c790ff e,#f3eee7ff f,#c5c3bdff g,#f1b86cff ``` ```image ffffb bfffffe fffb bfffffe ffb bfffffb fb efffffb b efffffb efffffb efffffb efffffb ffffff ffffff ffffff ffffff ffffff ffffff ec bfffff gad bfffffecaaage bfffffcaaaaaac bfffffgaaaaaac bffffgaaaaaad bfffdaaaaaag bfffaaaaaaae effgaaaaaac efgaaaaaad edaaaaaag eaaaaaaae gaaaaaac daaaaaag caaaaaaaf eaaaaaaadf daaaaaagff caaaaaagfff eaaaaaaaffff gaaaaaadffff daaaaaagfffffe caaaaaagbfffffe eaaaaaaaebfffffe gaaaaaac bfffffe daaaaaad bfffffe caaaaaag bfffffb eaaaaaaae efffffb gaaaaaac efffffb daaaaaag efffffb caaaaaaae efffffb egaaaaaac efffffb daaaaaad fffffb caaaaaag ffffff eaaaaaaae ffffff gaaaaaac ffffff daaaaaad ffffff caaaaaag ffffff ``` <!-- end of image --> There's no doubt about it - I see 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,#f4ad4eff b,#d9d8d4ff c,#fbe3c3ff d,#f5cd98ff e,#f3efeaff f,#c5c3bdff g,#f6bd72ff ``` ```image e ffb ffff fffff ffffff fffffff ffff fff ffff fff ffffe fff ffffe fff bfffe fff bfffe bffe bfffb bffe bfffb bffe bfffb effb efffb effb eag efffb effb aaac effff fff daaa effff fff aaaa ffff fff c aaad ffff fffdag caaae ffff fffaaac gaaa ffff ffaaag aaag ffff faaaa aaac ffff daaa caaa ffff aaad aaaa ffff aaaa aaag ffff gaaaf eaaae ffff eaaaff daaa ffffe aaagffe aaaa ffffe aaaabffe aaad bfffe daaa bffe caaae bfffe eaaac effb gaaa bfffb aaag effb aaag bfffb aaaa effb eaaac bfffb caaa fff daaa efffb aaac fff aaaa efffb aaag fff aaad effff gaaa fff eaaae effff caaae fff gaaa ffff aaad fff aaaa ffff aaaa fff aaac ffff gaaa fffff caaa ffff eaaae fffff gaaa ffff aaad fffff aaag ffff aaaa fffff eaaac ffff daaa fffff daaa ffff eaaac bffff aaaa ffff aaag bffff aaad ffff aaaa bfffb caaaeffffe caaa efffb gaaafffe aaac efffe aaaafe aaag efffe baaad gaaa fff bfdaaa caaae fff bfffaaaa aaad fff bfffb aaag aaaa fff efffb eaaae gaaa fff efffb daaa eaaae fff effff aaaa aaad b effff aaad aaaa ffff caaae daaa ffff gaaa eaaac ffff aaag aaag ffff aaac gaaa ffff daaa caaa ffff aaaa aaac ffff aaad aaag ffff eaaae gaaa ffff gaaa caaae ffff aaaa aaad ffffe aaaaaaa ffffe caaaaa bfffe gaaae bfffe aad bfffb bfffb efffb efffb efffb ffff eff e ``` <!-- 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,#557b7cff b,#95c896ff c,#a2b8acff d,#27525eff e,#8c9092ff f,#d7dfe1ff g,#b1d7b1ff ``` ```image g dc fe fdddg e ca ddf ef ac fddf eg d fdd ec d cdd ce bbbbbbbbbbbbbbbbbbbbbbbbbbbbbdbbbbbbbbbbaddbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbe gggcggggggggggggggggggggggggcdggggggggggggadagggggggggggggggggggggggggggggggeb gggeecggggggggggggggggggggggeaggggggggggggggadaggggggggggggggggggggggggggggecb gggggeegggggggggggggggggggggaeggggggggggggggggadagggggggggggggggggggggggggecgb ggggggcecgggggggggggggggggggdcggggggggggggggggggddeggggggggggggggggggggggeeggb ggggggggeeggggggggggggggggggdgggggggggggggggggggggddbgggggggggggggggggggeegggb gggggggggceeggggggggggggggggdggggggggggggggggggggggcddcggggggggggggggggeeggggb gggggggggggeecggggggggggggggdggggggggggggggggggggggggbddggggggggggggggeegggggb gggagggggggggeeggggggggggggeaggggggggggggggggggggggggggeddgggggggggggeeggggggb gggdbgggggggggcecggggggggggaeggggggggggggggggggggggggggggeddggggggggeegggggggb gggaagggggggggggeegggggggggdcggggggggggggggggggggggggggggggadagggggeeggggggggb gggcdggggggggggggceegggggggdgggggggggggggggggggggggggggggggggadaggeegggggggggb ggggdggggggggggggggeecgggggdgggggggggggggggggggggggggggggggggggadaeggggggggggb ggggdggggggggggggggggeeggggdggggggggggggggggggggggggggggggggggggeddegggggggggb ggggaeggggggggggggggggcecgedgggggggggggggggggggggggggggggggggggeeggddbgggggggb ggggedggggggggggggggggggeeaaggggggggggggggggggggggggggggggggggeeggggcddbgggggb gggggdgggggggggggggggggggcdegggggggggggggggggggggggggggggggggeegggggggbddcgggb gggggdggggggggggggggggggggdeecggggggggggggggggggggggggggggggeeggggggggggbddggb gggggdcgggggggggggggggggggdggeeggggggggggggggggggggggggggggeegggggggggggggdcgb gggggaagggggggggggggggggggdgggcecgggggggggggggggggggggggggeeggggggggggggggedgb gggggcdggggggggggggggggggedgggggeegggggggggggggggggggggggeeggggggggggggggggdgb ggggggdggggggggggggggggggaaggggggceeggggggggggggggggggggeegggggggggggggggggdeb ggggggdggggggggggggggggggdbggggggggeecgggggggggggggggggeeggggggggggggggggggcdb ggggggdegggggggggggggggggdgggggggggggeegggggggggggggggeeggggggggggggggggggggdb ggggggeagggggggggggggggggdggggggggggggcecggggggggggggeegggggggggggggggggggggaa gggggggdgggggggggggggggggdggggggggggggggeeggggggggggeegggggggggggggggggggggggd gggggggdggggggggggggggggbdgggggggggggggggceegggggggeeggggggggggggggggggggggggdf gggggggdcgggggggggggggggaagggggggggggggggggeecggggeeggggggggggggggggggggggggged gggggggaagggggggggggggggdbgggggggggggggggggggeeggeeggggggggggggggggggggggggggbd bbbbbbbbdbbbbbbbbbbbbbbbdbbbbbbbbbbbbbbbbbbbbbeeeebbbbbbbbbbbbbbbbbbbbbbbbbbbgae d d c d d d df dg fd ca ca ee d d df dc d d fd d d d ac d ea fd fd d d ee a d ag df d ca d d d d fd d ca ac ag gd d d d d d df fd ee ca fd ac d d d d ac d ca fd d ca d ac df d ee d fd d d d d ca ag ac ca df d d d d dfd aaa fdc df d ``` <!-- end of image --> Let's put area A under the microscope. <!-- image --> ```palette Key,Color ,#fefefeff a,#567881ff b,#d2d4d7ff c,#9ea2a9ff d,#27525eff e,#8d8892ff f,#eaebedff g,#b4b9bfff ``` ```image dg cddag b b fdf fedda fe feb bd fddaf ce fcec ga badde gef fceeb ag baddc eeg eeef db addc beg geeb fdf gddd beg beeg gd fcdda eeg feee ed eddab beg geeb dd addef ee ceef fdd bdddf bec beeg bdd baddcf bec bd beecf cde gdddg eec db eee adc cddg fec ca bee ddf fdddb ee gd geeb dd fedda fec fdf beec da fddef fec dc fcecf dc addaec da eee dg gaddc dd fgeeb df fedddg ad geeg ga eec ddab cd feec ce fecf fcdda fdf fgedg eef feddf dg edef fec addef ac bdeeg feef bdddf bd cd beegf cee gda db ed feee feef ddf dg ad fcecf fcef adc da dd cecb fee fdd ddf da beeg cef ed adc dc fcec cee dg cda dg eeg eef ca bdd db fcecb cef fd ad ga geeb cee d ed ca feec eef d bd ag fcee ceb b db db eegf ee ac fdf geeb ceb gd cd beeg gee fdf ed feeb eeb dg ad beecf geb da fdd fcecf ee ``` <!-- 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,#65848cff b,#466b75ff c,#a4abb1ff d,#25515dff e,#8e8c95ff f,#e1e4e6ff g,#c0c7cbff ``` ```image g dc fe fdbdg e ca fddg ef bc fddf eg d gddf ec d gdb ce d cdb fe g fd eda e cef ca ade ef fee ac bdc eg geg df bdc ec ee d ddg ec fec d fddf ec cef d fddf ec a ee cb gdd ec dg geg ac cdb ec ca ee df eda ec fd fec d ada ec d cef d bdbc d ee d eddc bc geg gb ee ddg gb eeac ee fddf d fde ee fddf d dcef ee gdd df d ee ee df ee d geg ee cb fd gb ee ce d d ac fec ce bc d df cef ce fd bg d ee ce d cb d geg ce ea d d ee ce d d gb fec ce dg df ee cef ce gd ae dg ee ce d fd d gece ae d d c d d d df bg gd cb ca ee d d bg bc d d fd d d d ac d ea gd fd d d ea b d bg dg d ca d fd d d fd d ca ac bg gb d d d d d df fd ea ca fd bc d d d d bc d gb fd d ca d ac df df ee d fd d d fd d cb bg ac ca df d d d d dfd abb gdc df d ``` <!-- 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. I have a hunch that these areas might contain the intersections we're looking for. <!-- image --> ```palette Key,Color ,#fefefeff a,#429a44ff b,#b3a7e6ff c,#6daf70ff d,#95c896ff e,#b1d7b1ff f,#19841bff g,#ecf1f0ff ``` ```image g cff fff ffa ffe eff cff fff ffa ffe eff bb cff gbb fff bbbg ffa bbbb ffe gbbbb eff bbbbbg cff bbbbbb fff gbb bbb ffa bbb gbb ffe bbb bbg eff gbb bbb cff bbb bbb fff bbb gbb ffa gbb bbg ffe bbb bbb eff bbb bbb cff gbb gbb fff bbb bbg ffa bbb bbb ffe gddddddddddddddddddddddddddddddddebbddddddddbbbdddddddddddddddddddddg eff geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeeg cff geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeg fff geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeg ffa fdeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeeg ffe afffeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeeg eff effffaeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeg cff gaffffdeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeeg fff geefffffeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeg ffa geeecffffceeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeeg gffe geeeeeaffffdeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeg aff geeeeeeefffffeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeeeg fff geeeeeeeecffffceeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeeggffe gbbbbbbbbbbbaffffdeeeeeeeeeeeebbbeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeegaff bbbbbbbbbbbbbbfffffbbbbbbbbbeebbbeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeegfff bbbbbbbbbbbbbbbcffffcbbbbbbbbbbbeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeegffe geeeeeeeeeeeeeeeaffffdbbbbbbbbbeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeeeaff geeeeeeeeeeeeeeeeefffffeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeeffa geeeeeeeeeeeeeeeeeecffffceeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeedffe geeeeeeeeeeeeeeeeeeeeaffffdeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeeeeaff geeeeeeeeeeeeeeeeeeeeedffffaeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeeeffa geeeeeeeeeeeeeeeeeeeeeeecffffceeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeedffg geeeeeeeeeeeeeeeeeeeeeeeeeaffffdeeeeeeeeeeeeeeeeeebbbeeeeeeeeeeeeefff geeeeeeeeeeeeeeeeeeeeeeeeeedffffaeeeeeeeeeeeeeeeeeebbeeeeeeeeeeeeeffa geeeeeeeeeeeeeeeeeeeeeeeeeeeecffffceeeeeeeeeeeeeeeebbeeeeeeeeeeeedffg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaffffdeeeeeeeeeeeeeebbbeeeeeeeeeeefffg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedffffaeeeeeeeeeeeeebbbeeeeeeeeeeeffag geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecffffceeeeeeeeeeeebbeeeeeeeeeedffdg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffffeeeeeeeeeeebbbeeeeeeeeefffeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedffffaeeeeeeeeebbbeeeeeeeeeffaeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecffffceeeeeeebbbeeeeeeeedffdeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffffeeeeeeebbeeeeeeeefffeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedffffaeeeeebbbeeeeeeeffaeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecffffceeebbbeeeeeecffeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffffeebbbeeeeeefffeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedffffaebbeeeeeeffaeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeecffffdbbeeeecffeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeefffffbeeeefffeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedffffaeeeffaeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaffffdcffeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebfffffffeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbdffffaeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeaffeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeg gbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeg gbbbbbb geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeeeeeeg gbbbbbbbbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeebbbbbbbbbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbeeeeebbbbbbbbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbebbbbbbbbbg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbbbbeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbbbbbeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeebbeeeeeeeeg geeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeg gdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddg ``` <!-- end of image --> Eureka! Let's inspect this close up of area A <!-- image --> ```palette Key,Color ,#fefefeff a,#489b4cff b,#b3a5e7ff c,#77b27dff d,#c9bfeeff e,#aed2afff f,#1a841cff g,#e4e6efff ``` ```image gbbbb bbbbd dbbbd bbbbb bbbbg bbbbb dbbbb dbbbb bbbbb gbbbb gbbbbb bbbbg e dbbbbd dbbbg fae bbbbbg dbbbd ffffe bbbbd bbbbg fffffag bbbbg dbbbd fffffffc gbbbb gbbbd cfffffffe dbbbd gbbbb gaffffffag bbbbg bbbbg cffffffff dbbbd gbbbb gaffffffag bbbbg bbbb efffffffcg gbbbb bbbbg cffffffffe dbbbd dbbbd gafffffffg bbbbg gbbbb ffffffffe dbbbd bbbbg gafffffffa bbbbg bbbbd efffffffc gbbbb bbbbb gcfffffffe dbbbb bbbbb ddddddddddddddddddafffffffabgggg bbbbb dbbbb bbbbbbbbbbbbbbbbbbbbbafffffffcbbbbbbbbbbbbbddgggbbbbd gbbbb bbbbbbbbbbbbbbbbbbbbbbbfffffffabbbbbbbbbbbbbbbbbbbbbg bbbbg bbbbbbbbbbbbbbbbbbbbbbbcffffffffcbbbbbbbbbbbbbbbbbbb dbbbd gggggggggggggggggggggggggcfffffffcbbbbbbbbbbbbbbbbbd gbbbb gaffffffadddbbbbbbbbbbbbbg bbbb gcfffffffa dbbbd eaffffffag gbbbb efffffffc bbbbg cfffffffae dbbbg eafffffffg dbbbd efffffffc gbbbb g eafffffffc dbbbd a efffffffc gbbbd gf gcffffffae gbbbb cf afffffffcg bbbbg af effffffff bbbbd gff efffffffcg bbbbb aff cffffffffe dbbbb fff gcfffffffa dbbbb fff eaffffffcg gbbbb fff ffffffffe bbbbg efff eafffffffg gbbbd ffff cfffffffe gbbbb effff gfffffffag bbbbg cfffa eafffffffc dbbbd ffffe cfffffffe gbbbd effffg afffffffcg bbbbg ffffe cffffffff dbbbd effffg gaffffffag gbbbb cfffa efffffffcg bbbbg ffffe cffffffffe dbbbg effffg efffffffcg gbbbb fffff ffffffffe bbbbg fffff gafffffffa bbbbd ffffa efffffffc bbbbd ffffe gcfffffffe bbbbb effff afffffffagbbbbb afffc gcfffffffcbbb effff gfffffffabb afffc effffffffcg gffffe gcfffffffe effff gaffffffag afffc gcfffffffa effff eaffffffaafffc gbcffffffffffe bbafffffffff dbbbafffffff gbbbb gffffa bbbbg eafag dbbbd gbbbb bbbb bbbbd bbbbb bbbbb dbbbb gdb dbbbb gdbbb bbbbg gdbbbbbbbbb dbbbbbbbbbbbbbbbb gbbbbbbbbbbbbbbdg gbbbbbbbbbbbbd bbbbbbbbddg dbdg ``` <!-- end of image --> Aha! I've found 2 intersections inside area A! Answer: A: 2; 2 = 2 The final answer is: two intersections found.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#469b48ff b,#b3a5e7ff c,#74b179ff d,#cac1eeff e,#aacfacff f,#19841bff g,#dee4e8ff ``` ```image g cff fff ffa ffe gff cff fff ffa ffe gff dd cff gbb fff bbbd ffa bbbb ffe gbbbb gff bbbbb cff bbdbbd fff gbb bbb ffa bbb dbb ffe bbd bbg gff gbb bbd cff bbb bbb fff bbd gbb ffa gbb bbg ffe bbb bbb gff bbd dbb cff gbb gbb fff bbb bbd ffa bbd bbb ffe gbb dbb gff bbb bb cff bbd bbd fff gbb bbb ffa fg bbb dbb ffe afff bbd bbg gff effffc gbb bbd cff affffg bbb bbb fff fffff bbd gbb ffa effffc gbb bbg gffe affffg bbb bbb aff fffff bbd dbb fff effffc gbb gbb gffe ddddddddddddaffffbgg bbb bbd aff dbbbbbbbbbbbbbfffffbbbbbbbbdggbbd bbb fff dbbbbbbbbbbbbbbcffffcbbbbbbbbbbb dbb gffe affffddbbbbbbbb bb aff gffffa bbd ffa effffc bbb gffg affffg dbb aff gffffa bbg ffa effffe bbd gffg affffg bbb aff gffffa gbb ffa effffe bbg gffg affffg bbb fff gffffa dbb ffa cffffe gbb effg affffg bbd fff gffffa bbb ffa cffffe dbb effg affff bb fff gffffa bbd ffa cffffe bbb eff fffff gbb fff gffffa bbg ffc cffffcbb eff fffffb fff gffffa ffc cffffeeff bfffffff dbeffffc gbb cff bbd dbb bbb gbbbbbb dbb dbbbbbbbbg bb dbbbbbbbd bbd gbbbbbbbbd bbb dbbbbbbbbg gbbbbbbbbd bbbbbd dbg ``` <!-- end of image -->
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I'm curious to see if this image contains any intersection points. My next step is to analyze the details within each area. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad0aa7ff b,#215803ff c,#96c393ff d,#bf67bbff e,#5f874bff f,#e2c1dfff g,#b0d6b0ff ``` ```image af daa aaad aaaa faaaad aad aa aa aaa aa aa daa daa aaf aaf aa daa aa aaf dad faa aaf aad faa faa aad aaa daa aa aaf aaa aaa aa faa daa aaf aaf aaa daa fcg ebe faa aad cbb bb aad faa ebe bbg daa aad ebc ebb aaf aa bbg bb aaa aaa bbf bbg faa aa bb cbb aaf aaa bb bb aaa aaf bb bbc faa daa bb gbb aad aaf bb bb daa faa fbb bbe aaf aad gbb fbb aaa faa cbe bb faa aad ebe ebe aaf faa bbc bb aaa cggaaagggggggggcbbggggc bbf faa ggggaagggggggggbbeggggg ebb aad ggggaaaggggggggbbgggggg bb daa gggggaagggggggbbegggggg bbg aa gggggdaaggggggbbggggggg cbb aaa ggggggaadggggebbggggggg bb faa ggggggdaaggggbbcggggggg bbc aaf gggggggaadggebbgggggggg gbb aaa ggggggggaaggbbcgggggggg gcccccbbcccccccccccaaccg ggggggggaaacbbggggggggg cgggggbbegggggggggaadggc gggggggggaabbeggggggggg cgggggcbbggggggggdaagggc gggggggggaabbgggggggggg cggggggbbggggggggaaggggc ggggggggggbbegggggggggg cggggggebeggggggaaaggggc ggggggggggbbagggggggggg cgggggggbbgggggdaagggggc gggggggggbbbagggggggggg cgggggggbbcggggaadgggggc gggggggggbbdaaggggggggg cgggggggebbgggaaaggggggc ggggggggebbgaadgggggggg cggggggggbbgggaagggggggc ggggggggbbcgdaagggggggg cggggggggbbcgaadgggggggc gggggggebbgggaadggggggg cggggggggebbaaaggggggggc gggggggbbcggggaaggggggg cgggggggggbbaagggggggggc ggggggcbbgggggaaagggggg cgggggggggbbedgggggggggc ggggggbbeggggggaagggggg cgggggggggabbggggggggggc gggggcbbgggggggaaaggggg cggggggggdabbggggggggggc gggggbbeggggggggaaggggg cggggggggaabbegggggggggc gggggbbgggggggggdaagggg cgggggggaaacbbgggggggggc cgggbbbggggggggggaacggc cggggggaaaggbbgggggggggc bb daa cgggggcaagggbbeggggggggc ebb d cgggggaadgggcbbggggggggc bb cggggaaagggggbbcgggggggc fcebbbbbb cgggdaaggggggebbgggggggc geebbbbbbbbbbbbf cgggaadgggggggbbgggggggc fcebbbbbbbbbbbbbbeg cggaaaggggggggbbcggggggc geebbbbbbbbbbbbbecf cggaagggggggggebbggggggc fcebbbbbbbbbbbbbbeg cgaaaggggggggggbbgcebbbbbbbbbbbbbbecf gdaacccccccccccbbbbbbbbbbbbeg aaf gbbbecf daa aa aaa faa aad daa df ``` <!-- end of image --> Let's see what secrets area A holds. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad08a6ff b,#215702ff c,#c4d2bcff d,#c551c1ff e,#4c6e33ff f,#e6b3e4ff g,#83a072ff ``` ```image bbbbg daaaaf gbbbe faaaad cbbbbc daaaaf bbbbg faaaad gbbbb aaaaa cbbbbc daaaaf ebbbg faaaad gbbbb aaaaa cbbbbc daaaaf ebbbe faaaad gbbbb daaaaf bbbbg faaaad ebbbe aaaaa cbbbbc daaaaf bbbbg faaaad gbbbe aaaaa cbbbbc daaaaf bbbbg faaaad gbbbb daaaaf cbbbbc faaaad ebbbg faaaaa gbbbb daaaaf cbbbbgaaaad ebbbeaaaa gbbbbaaaf bbbbead ebbbbd fabbbbc dabbbbg daaebbbe faaaabbbbc aaaaabbbbg daaaadgbbbb faaaad cbbbbc faaaaaf ebbbg daaaaf gbbbb daaaad cbbbbc faaaaa ebbbe aaaaaf gbbbb daaaad bbbbg faaaad ebbbe faaaaaf cbbbbc daaaaf bbbbg faaaad gbbbe aaaaa cbbbbc daaaaf bbbbg faaaad gbbbb daaaaf cbbbbc faaaad ebbbg aaaaa gbbbb daaaaf cbbbbc cc faaaad ebbbe ccggeebbbb daaaaf gbbbbbbbbbbbbbbb ``` <!-- end of image --> Incredible, there's actually 1 intersection in area A! Time to investigate another area. Let's get to the bottom of what's happening inside area B. <!-- image --> ```palette Key,Color ,#fefefeff a,#ad09a7ff b,#225803ff c,#9cb48eff d,#db94d8ff e,#61844cff f,#e2d9dfff g,#c450bfff ``` ```image aaaag fbbbbc daaaad ebbbb aaaaa fbbbbc daaaad ebbbbf aaaaa fbbbbe daaaad cbbbbf gaaaaf bbbbe faaaag cbbbbf gaaaaf bbbbe faaaag cbbbbc gaaaaf ebbbb aaaag fbbbbc daaaad ebbbb aaaaa fbbbbc daaaad ebbbbf aaaaa fbbbbe daaaad cbbbbf gaaaaf bbbbe faaaag cbbbbf gaaaaf bbbbe faaaag cbbbbc gaaaadebbbb aaaaabbbbc daaabbbbb aaabbbbc daebbbbf abbbbe ebbbbg bbbbbaf cbbbbaag bbbbbaaaf cbbbbaaaag ebbbbdaaaad fbbbbc aaaaa ebbbb daaaad fbbbbc aaaaa ebbbbf daaaad fbbbbe gaaaa cbbbbf faaaag bbbbe gaaaaf cbbbbf faaaag bbbbe gaaaaf cbbbbc faaaag ebbbb daaaad fbbbbc aaaaa ebbbb daaaad fbbbbc aaaaa ebbbbf daaaad fbbbbe gaaaaf cbbbbf faaaag bbbbe gaaaaf cbbbbf faaaag bbbbe gaaaaf ``` <!-- 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,#ad07a7ff b,#225803ff c,#a5bb98ff d,#d581d2ff e,#668951ff f,#e4d1e1ff g,#be3dbaff ``` ```image af gaa aaad aaaa daaaag aad aa aa gaa aa aa daa gaa aad aaf aa daa aa aad dag faa aaf aad faa faa aad aag gaa aa aaf gaa aag aaf daa gaa aad aaf gaa daa fcc ebe faa aad cbb bb aad faa ebe bbf gaa aag ebc ebb aaf faa bbc bb aag aag bbf bbc daa aa bb cbb aad gaa bb bb aaa aaf bb bbc faa daa bb cbb aad aaf bb bb gaa daa fbb bbe aaf aad cbb fbb aag faa cbe bb daa aag ebe ebe aaf aa bbc bb aaa aag fbb bbf faa aa bbe ebb aad gaa bb bb gaa aaf bbe bbc aaf daa bb cbb aag aad ebb bb daa daa bbf bbc aaf aad ebb cbb aaa faa bbf bb faa aagcbb bbe aad aabbc fbb gaa aabb bb aaf bbe ebe aag bba fbb daa bbbaf bbf aaf bbdaa ebb aaa ebb aad bb faa bbf daa bbc aad cbb aad cbbgaa bbf faa bbaa cbb aag bbed bbc aa abb fbb gaa dabb bbe aaf aabbe bb gaa aagfbb bbe aaf gaa bb bb daa faa ebe ebb g aad fbb bbf aaa bbf fcebbbbbb daa ebb ceebbbbbbbbbbbbf aaf bb fcebbbbbbbbbbbbbbec gaa bbc cebbbbbbbbbbbbbbecf aa cbb fcebbbbbbbbbbbbbbec aag bb cebbbbbbbbbbbbbbecf faa bbbbbbbbbbbbec aad cbbbecf gaa aaf aag faa aad daa gf ``` <!-- end of image -->
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I'm examining this image closely. My goal: find any and all intersections. These spots are like clues. Let's see what they reveal about potential intersections. <!-- image --> ```palette Key,Color ,#fefefeff a,#7224c5ff b,#de417fff c,#dbb9e4ff d,#cc8d9bff e,#9772c8ff f,#b1d7b1ff g,#96c797ff ``` ```image cb bb cae bbc aa cbbd aa bbbb cae bbbb aa bbbb aa dbcbb cae bb dbc aae bb cbd gggggaaaaagggggggggggggggggggggggggggggggbbggbbggggggggggggggggggggggf fffffffeaaaaefffffffffffffffffffffffffffbbfffbbffffffffffffffffffffffg fffffffffgaaaaefffffffffffffffffffffffffbbfffbbffffffffffffffffffffffg ffffffffffffaaaaafffffffffffffffffffffffbbfffbbffffffffffffffffffffffg ffffffffffffffeaaaaefffffffffffffffffffdbdfffbbffffffffffffffffffffffg fffffffffffffffffaaaaafffffffffffffffffbbffffdbdfffffffffffffffffffffg fffffffffffffffffffeaaaagffffffffffffffbbffffdbdfffffffffffffffffffffg fffdfffffffffffffffffeaaaaefffffffffffdbdfffffbbfffffffffffffffffffffg fffbbdffffffffffffffffffaaaaafffffffffbbffffffbbfffffffffffffffffffffg fffbbbbfffffffffffffffffffeaaaaeffffffbbffffffbbffffffffffaaaaaefffffg fffffbbbbfffffffffffffffffffeaaaaeffffbbffffffbbffffffffffaaaaaaaaaaae fffffffbbbdffffffffffffffffffffaaaaafdbdffffffbbffffffffffaafffeeaaaaaaaaaec ffffffffdbbbdffffffffffffffffffffeaaabbfffffffdbdffffffffgaefffffffffeaaaaaaaaaaec ffffffffffbbbbfffffffffffffffffffffgaabffffffffbdffffffffeagfffffffffg ceaaaaaaae ffffffffffffbbbbffffffffffffffffffffaadffffffffbbffffffffaaffffffffffg ceac fffffffffffffdbbbdffffffffffffffffffaafffffffffbbffffffffaaffffffffffg fffffffffffffffdbbbdffffffffffffffffaaeffffffffbbffffffffaaffffffffffg fffffffffffffffffbbbbfffffffffffffffbaaffffffffbbffffffffaaffffffffffg fffffffffffffffffffbbbbffffffffffffdbaaffffffffdbffffffffaabdffffffffg ffffffffffffffffffffdbbbdffffffffffbbaaffffffffdbdffffffeabbbbbffffffg ffffffffffffffffffffffdbbbdffffffffbbeafffffffffbbffffffaaffdbbbbdfffg ffffffffffffffffffffffffbbbbffffffdbdgaeffffffffbbfffffdaafffffbbbbbfg ffffffffffffffffffffffffffbbbbffffbbffaaffffffffbbfffffbaafffffffdbbbbd fffffffffffffffffffffffffffdbbbdffbbffaaffffffffbbfffffbaaffffffffffbbbbbc fffffffffffffffffffffffffffffdbbbdbbffaaffffffffbbffffbbaafffffffffffgcbbbbd fffffffffffffffffffffffffffffffbbbbdffeaefffffffdbdfffbbaefffffffffffg bbbbbc fffffffffffffffffffffffffffffffffbbffffaafffffffdbdffdbaagfffffffffffg cbbbbd fffffffffffffffffffffffffffffffffffffffaaffffffffbbffbbaaffffffffffffg bbbbbc fffffffffffffffffffffffffffffffffffffffaaffffffffbbffbbaaffffffffffffg cbbd fffffffffffffffffffffffffffffffffffffffeaefffffffbbfbbfaaffffffffffffg ffffffffffffffffffffffffffffffffffffffffaafffffffbbfbbfaaffffffffffffg ffffffffffffffffffffffffffffffffffffffffaafffffffbbdbdfaeffffffffffffg ffffffffffffffffffffffffffffffffffffffffaafffffffdbbbfeaeffffffffffffg ffffffffffffffffffffffffffffffffffffffffeagffffffdbbbfaafffffffffffffg ffffffffffffffffffffffffffffffffffffffffgaefffffffbbffaafffffffffffffg gggggggggggggggggggggggggggggggggggggggggaagggggggbbggaagggggggggggggf aa aa aa aa cae cae aa eac aa aa aa aa eac aa aa aa aa cae aa eac eac aa cae aa aa aa aa aa aa ae cae cac aa eac aa aa aa aa eac aa aa aa aa cae aa eac eac aa cae aa aa aa aa aa eacae caaac aaa aaa aaa caa aa c ``` <!-- end of image --> Here's a close-up of the area A. <!-- image --> ```palette Key,Color ,#fefefeff a,#7222c5ff b,#df3f7fff c,#c7a7e7ff d,#ee9fbeff e,#9d65d6ff f,#f1d6e8ff g,#e66a9bff ``` ```image caaaaac bbb bbbg aaaaaaac fbbg bbbg feaaaaaaec gbbf gbbb aaaaaaaaf fbbg dbbb ceaaaaaaef dbbd dbbb faaaaaaae gbbf fbbb faaaaaaae fbbb bbb fcaaaaaaac dbbb gbb caaaaaaae gbbb gbbf feaaaaaaec bbbg dbbf ceaaaaaaef bbbf fbbd feaaaaaaec bbb fbbg df ceaaaaaaaf fbbg bbb bbd feaaaaaaec dbbd gbb dbbbbgf ceaaaaaaef fbbg dbbd eaeecf gbbbbbd faaaaaaae dbbd dbbd caaaaaaaeccf dbbbbbbd caaaaaaac gbbf fbbg caaaaaaaaaaaeecc dbbbbbf caaaaaaae bbb bbg eaaaaaaaaaaaaaaaae fgbbbbbd caaaaaaac dbbd gbb aaa fceeaaaaaa dbbbbbd feaaaaaaegbbf dbbf faaa fceaa bbbbbgf fcaaaaabbb dbbd caaa f fgbbbbbg ceaaaabb fbbd caaa bbbbbbd eaabb bbg eaaa dbbbbbg caabg bbb aaaa fgbbbbgf caaad bbbf aaae gbbbbbd aaaf bbbf aaae dbbbbgf daaac bbbd aaac gbbbbbgf gaaae bbbg aaaf fgbbbbb baaae bbbg aaa dbbbbbd fbaaaa gbbb aaag dbbbbbgf dbaaaa gbbb faaabbdf fbbbbbd fbbgaaa dbbb eaabbbbbbbdf dbbbbbbd dbbdaaa fbbb faaacdbbbbbbbgd dbbbbbg gbbfeaaf fbbb daaaf fdbbbbbbbdf fbbbbbgf bbb caac bbb baaa fgbbbbbbgd dbbbbbb dbbb aaa gbbf gbaae fgbbbbbb dbbbbgf gbbb eaaf dbbd fbbaac dbbbbb gbbbbbgf bbbg eaac dbbd dbaaac fgbb fgbbbbb bbbd caae fbbg bbaaaf dg dbbbbbgfbbb aaa bbb bbaaa fgbbbbbbbg eaac gbbf fbbaae fbbbbbbd caac dbbf gbbaae dbbbbbf faae dbbd bbbaac fdf aaaf fbbg gbbeaa aaac bbg fbbgaaa aaae gbb gbbdaaa aaaa gbbf fbbbcaaa eaaa dbbd bbbbeaaa caaa fbbd bbbgeaaa faaa fbbg bbbdaaaa aaa bbgfbbb aaaa caac bbbbbbf aaac faae bbbbbg aaac aaa bbbbbd aaaf eaaf bbbbb aaa faae bbbbf faae aaa gbbb caae ``` <!-- end of image --> Amazing! This area was hiding 2 intersections all along! Answer: A: 2; 2 = 2 After a long analysis, I found two intersections.
2
<!-- image --> ```palette Key,Color ,#fefefeff a,#7222c6ff b,#df3f7eff c,#bb96e3ff d,#ee99baff e,#9457d2ff f,#eacde8ff g,#e56597ff ``` ```image fb f bbf fae bbd aa fbbg aa gbbb fae bbbb aa bbbb aa dbdbb cae bb dbf aac bb fbd eaaae fbg bg caaaac gbf bb faaaae bb bb eaaaaf bb bb caaaac dbd gb faaaae bb dbf eaaaaf bb fbd d caaaac fbg bb fbbf faaaae gbf bb gbbb eaaaaf bb bb aaaaecf bbbg faaaae bb bb aaaaaaaaaaec fbbbd eaaaafdbd gb aa ceaaaaaaaaaef dbbbf caaabb dbd fac fceaaaaaaaaacf gbbb faab fbg caf fcaaaaaaae bbbg aag bb aa feac fbbbd aaf bb aa dbbbf aac bb aa gbbb bae bb aa bbbg dbaa gbf faabd fbbbd bbaa dbd eabbbbbf dbbbf bbeaf bg aa dbbbbd gbbb fbgfae bb faa fbbbbbf bbbg gb aa bb baa dbbbbd fbbbd bb aa bb baa gbbbbf dbbbfbb aa bb gbae dbbbbg gbbbd cac dbf bbac gbbbbf bb aa fbd dbeaf dbbbbg aa bg bbaa gbbbbf aa bb bbaa dbbd cac bb bbfaa ae bb bb aa aa gbdbdfae aa dbbb cac eaf fbbb ea fae bbf aa aa bb aa aa aa ea ae cac cac aa eaf aa aa aa aa cac aa ae aa aa fae aa cac eaf ea fae aa aa aa aa aa ea ae cac cac aa eaf aa aa aa aa cac aa aa aa aa fae aa caf eaf aa fae aa aa aa aa aa eafae caaac aaaf aaa aaa caa aa f ``` <!-- end of image -->
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