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