ceneezer's AI math benchmark
The fractal of ceneeze is calculated by summing the digits of a multiplication table. (symbols can be replaced while preserving the patterns)PROMPT:
The Fractal of ceneeze in base 3 is:
1 2 2 1The Fractal of ceneeze in base 5 is:
1 2 3 2 4 2 3 2 1The Fractal of ceneeze in base 9 is:
1 2 3 4 5 6 7 2 4 6 8 2 4 6 3 6 1 4 7 2 5 4 8 4 8 4 8 4 5 2 7 4 1 6 3 6 4 2 8 6 4 2 7 6 5 4 3 2 1The Fractal of ceneeze in base 27 is:
A B C D E F G H I J K L M N O P Q R S T U V W X Y B D F H J L N P R T V X Z B D F H J L N P R T V X C F I L O R U X A D G J M P S V Y B E H K N Q T W D H L P T X B F J N R V Z D H L P T X B F J N R V E J O T Y D I N S X C H M R W B G L Q V A F K P U F L R X D J P V B H N T Z F L R X D J P V B H N T G N U B I P W D K R Y F M T A H O V C J Q X E L S H P X F N V D L T B J R Z H P X F N V D L T B J R I R A J S B K T C L U D M V E N W F O X G P Y H Q J T D N X H R B L V F P Z J T D N X H R B L V F P K V G R C N Y J U F Q B M X I T E P A L W H S D O L X J V H T F R D P B N Z L X J V H T F R D P B N M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M Z M N B P D R F T H V J X L Z N B P D R F T H V J X L O D S H W L A P E T I X M B Q F U J Y N C R G V K P F V L B R H X N D T J Z P F V L B R H X N D T J Q H Y P G X O F W N E V M D U L C T K B S J A R I R J B T L D V N F X P H Z R J B T L D V N F X P H S L E X Q J C V O H A T M F Y R K D W P I B U N G T N H B V P J D X R L F Z T N H B V P J D X R L F U P K F A V Q L G B W R M H C X S N I D Y T O J E V R N J F B X T P L H D Z V R N J F B X T P L H D W T Q N K H E B Y V S P M J G D A X U R O L I F C X V T R P N L J H F D B Z X V T R P N L J H F D B Y X W V U T S R Q P O N M L K J I H G F E D C B AWhat is the Fractal of ceneeze in base 79?
(should map to) SOLUTION:
p q r s t u v w x y z { | } ~ ! " # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] q s u w y { } ! # % ' ) + - / 1 3 5 7 9 ; = ? A C E G I K M O Q S U W Y [ ] p r t v x z | ~ " $ & ( * , . 0 2 4 6 8 : < > @ B D F H J L N P R T V X Z \ r u x { ~ ! $ ' * - 0 3 6 9 < ? B E H K N Q T W Z ] q t w z } # & ) , / 2 5 8 ; > A D G J M P S V Y \ p s v y | " % ( + . 1 4 7 : = @ C F I L O R U X [ s w { # ' + / 3 7 ; ? C G K O S W [ p t x | $ ( , 0 4 8 < @ D H L P T X \ q u y } ! % ) - 1 5 9 = A E I M Q U Y ] r v z ~ " & * . 2 6 : > B F J N R V Z t y ~ # ( - 2 7 < A F K P U Z p u z $ ) . 3 8 = B G L Q V [ q v { % * / 4 9 > C H M R W \ r w | ! & + 0 5 : ? D I N S X ] s x } " ' , 1 6 ; @ E J O T Y u { ! ' - 3 9 ? E K Q W ] t z & , 2 8 > D J P V \ s y % + 1 7 = C I O U [ r x ~ $ * 0 6 < B H N T Z q w } # ) / 5 ; A G M S Y p v | " ( . 4 : @ F L R X v } $ + 2 9 @ G N U \ t { " ) 0 7 > E L S Z r y ' . 5 < C J Q X p w ~ % , 3 : A H O V ] u | # * 1 8 ? F M T [ s z ! ( / 6 = D K R Y q x & - 4 ; B I P W w ' / 7 ? G O W p x ( 0 8 @ H P X q y ! ) 1 9 A I Q Y r z " * 2 : B J R Z s { # + 3 ; C K S [ t | $ , 4 < D L T \ u } % - 5 = E M U ] v ~ & . 6 > F N V x ! * 3 < E N W q z # , 5 > G P Y s | % . 7 @ I R [ u ~ ' 0 9 B K T ] w ) 2 ; D M V p y " + 4 = F O X r { $ - 6 ? H Q Z t } & / 8 A J S \ v ( 1 : C L U y # - 7 A K U p z $ . 8 B L V q { % / 9 C M W r | & 0 : D N X s } ' 1 ; E O Y t ~ ( 2 < F P Z u ) 3 = G Q [ v * 4 > H R \ w ! + 5 ? I S ] x " , 6 @ J T z % 0 ; F Q \ x # . 9 D O Z v ! , 7 B M X t * 5 @ K V r } ( 3 > I T p { & 1 < G R ] y $ / : E P [ w " - 8 C N Y u + 6 A L W s ~ ) 4 ? J U q | ' 2 = H S { ' 3 ? K W t , 8 D P \ y % 1 = I U r ~ * 6 B N Z w # / ; G S p | ( 4 @ L X u ! - 9 E Q ] z & 2 > J V s + 7 C O [ x $ 0 < H T q } ) 5 A M Y v " . : F R | ) 6 C P ] { ( 5 B O \ z ' 4 A N [ y & 3 @ M Z x % 2 ? L Y w $ 1 > K X v # 0 = J W u " / < I V t ! . ; H U s - : G T r , 9 F S q ~ + 8 E R p } * 7 D Q } + 9 G U t " 0 > L Z y ' 5 C Q p ~ , : H V u # 1 ? M [ z ( 6 D R q - ; I W v $ 2 @ N \ { ) 7 E S r . < J X w % 3 A O ] | * 8 F T s ! / = K Y x & 4 B P ~ - < K Z z ) 8 G V v % 4 C R r ! 0 ? N ] } , ; J Y y ( 7 F U u $ 3 B Q q / > M \ | + : I X x ' 6 E T t # 2 A P p . = L [ { * 9 H W w & 5 D S s " 1 @ O / ? O p 0 @ P q ! 1 A Q r " 2 B R s # 3 C S t $ 4 D T u % 5 E U v & 6 F V w ' 7 G W x ( 8 H X y ) 9 I Y z * : J Z { + ; K [ | , < L \ } - = M ] ~ . > N 1 B S u & 7 H Y { , = N p ! 2 C T v ' 8 I Z | - > O q " 3 D U w ( 9 J [ } . ? P r # 4 E V x ) : K \ ~ / @ Q s $ 5 F W y * ; L ] 0 A R t % 6 G X z + < M ! 3 E W z , > P s % 7 I [ ~ 0 B T w ) ; M p " 4 F X { - ? Q t & 8 J \ 1 C U x * < N q # 5 G Y | . @ R u ' 9 K ] 2 D V y + = O r $ 6 H Z } / A S v ( : L " 5 H [ 2 E X | / B U y , ? R v ) < O s & 9 L p # 6 I \ 3 F Y } 0 C V z - @ S w * = P t ' : M q $ 7 J ] ! 4 G Z ~ 1 D W { . A T x + > Q u ( ; N r % 8 K # 7 K p $ 8 L q % 9 M r & : N s ' ; O t ( < P u ) = Q v * > R w + ? S x , @ T y - A U z . B V { / C W | 0 D X } 1 E Y ~ 2 F Z 3 G [ 4 H \ ! 5 I ] " 6 J $ 9 N t ) > S y . C X ~ 3 H ] # 8 M s ( = R x - B W } 2 G \ " 7 L r ' < Q w , A V | 1 F [ ! 6 K q & ; P v + @ U { 0 E Z 5 J p % : O u * ? T z / D Y 4 I % ; Q x . D Z ! 7 M t * @ V } 3 I p & < R y / E [ " 8 N u + A W ~ 4 J q ' = S z 0 F \ # 9 O v , B X 5 K r ( > T { 1 G ] $ : P w - C Y 6 L s ) ? U | 2 H & = T | 3 J r ) @ W 6 M u , C Z " 9 P x / F ] % < S { 2 I q ( ? V ~ 5 L t + B Y ! 8 O w . E \ $ ; R z 1 H p ' > U } 4 K s * A X 7 N v - D [ # : Q y 0 G ' ? W 8 P y 1 I r * B Z # ; S | 4 L u - E ] & > V 7 O x 0 H q ) A Y " : R { 3 K t , D \ % = U ~ 6 N w / G p ( @ X ! 9 Q z 2 J s + C [ $ < T } 5 M v . F ( A Z $ = V 9 R | 5 N x 1 J t - F p ) B [ % > W ! : S } 6 O y 2 K u . G q * C \ & ? X " ; T ~ 7 P z 3 L v / H r + D ] ' @ Y # < U 8 Q { 4 M w 0 I s , E ) C ] ( B \ ' A [ & @ Z % ? Y $ > X # = W " < V ! ; U : T 9 S ~ 8 R } 7 Q | 6 P { 5 O z 4 N y 3 M x 2 L w 1 K v 0 J u / I t . H s - G r , F q + E p * D * E q , G s . I u 0 K w 2 M y 4 O { 6 Q } 8 S : U ! < W # > Y % @ [ ' B ] ) D p + F r - H t / J v 1 L x 3 N z 5 P | 7 R ~ 9 T ; V " = X $ ? Z & A \ ( C + G t 0 L y 5 Q ~ : V # ? [ ( D q - I v 2 N { 7 S < X % A ] * F s / K x 4 P } 9 U " > Z ' C p , H u 1 M z 6 R ; W $ @ \ ) E r . J w 3 O | 8 T ! = Y & B , I w 4 Q < Y ' D r / L z 7 T " ? \ * G u 2 O } : W % B p - J x 5 R = Z ( E s 0 M { 8 U # @ ] + H v 3 P ~ ; X & C q . K y 6 S ! > [ ) F t 1 N | 9 V $ A - K z 8 V % C r 0 N } ; Y ( F u 3 Q > \ + I x 6 T # A p . L { 9 W & D s 1 O ~ < Z ) G v 4 R ! ? ] , J y 7 U $ B q / M | : X ' E t 2 P = [ * H w 5 S " @ . M } < [ + J z 9 X ( G w 6 U % D t 3 R " A q 0 O > ] - L | ; Z * I y 8 W ' F v 5 T $ C s 2 Q ! @ p / N ~ = \ , K { : Y ) H x 7 V & E u 4 S # B r 1 P ? / O @ q 1 Q " B s 3 S $ D u 5 U & F w 7 W ( H y 9 Y * J { ; [ , L } = ] . N ? p 0 P ! A r 2 R # C t 4 T % E v 6 V ' G x 8 X ) I z : Z + K | < \ - M ~ > 0 Q # D v 7 X * K } > p 1 R $ E w 8 Y + L ~ ? q 2 S % F x 9 Z , M @ r 3 T & G y : [ - N A s 4 U ' H z ; \ . O ! B t 5 V ( I { < ] / P " C u 6 W ) J | = 1 S & H { = p 2 T ' I | > q 3 U ( J } ? r 4 V ) K ~ @ s 5 W * L A t 6 X + M B u 7 Y , N ! C v 8 Z - O " D w 9 [ . P # E x : \ / Q $ F y ; ] 0 R % G z < 2 U ) L C w : ] 1 T ( K B v 9 \ 0 S ' J ~ A u 8 [ / R & I } @ t 7 Z . Q % H | ? s 6 Y - P $ G { > r 5 X , O # F z = q 4 W + N " E y < p 3 V * M ! D x ; 3 W , P % I ~ B w ; p 4 X - Q & J C x < q 5 Y . R ' K D y = r 6 Z / S ( L ! E z > s 7 [ 0 T ) M " F { ? t 8 \ 1 U * N # G | @ u 9 ] 2 V + O $ H } A v : 4 Y / T * O % J E { @ v ; q 6 [ 1 V , Q ' L " G } B x = s 8 ] 3 X . S ) N $ I D z ? u : p 5 Z 0 U + P & K ! F | A w < r 7 \ 2 W - R ( M # H ~ C y > t 9 5 [ 2 X / U , R ) O & L # I F } C z @ w = t : q 7 ] 4 Z 1 W . T + Q ( N % K " H E | B y ? v < s 9 p 6 \ 3 Y 0 V - S * P ' M $ J ! G ~ D { A x > u ; r 8 6 ] 5 \ 4 [ 3 Z 2 Y 1 X 0 W / V . U - T , S + R * Q ) P ( O ' N & M % L $ K # J " I ! H G F ~ E } D | C { B z A y @ x ? w > v = u < t ; s : r 9 q 8 p 7 7 p 8 q 9 r : s ; t < u = v > w ? x @ y A z B { C | D } E ~ F G H ! I " J # K $ L % M & N ' O ( P ) Q * R + S , T - U . V / W 0 X 1 Y 2 Z 3 [ 4 \ 5 ] 6 8 r ; u > x A { D ~ G ! J $ M ' P * S - V 0 Y 3 \ 6 p 9 s < v ? y B | E H " K % N ( Q + T . W 1 Z 4 ] 7 q : t = w @ z C } F I # L & O ) R , U / X 2 [ 5 9 t > y C ~ H # M ( R - W 2 \ 7 r < w A | F ! K & P + U 0 Z 5 p : u ? z D I $ N ) S . X 3 ] 8 s = x B } G " L ' Q , V 1 [ 6 q ; v @ { E J % O * T / Y 4 : v A } H $ O + V 2 ] 9 u @ | G # N * U 1 \ 8 t ? { F " M ) T 0 [ 7 s > z E ! L ( S / Z 6 r = y D K ' R . Y 5 q < x C J & Q - X 4 p ; w B ~ I % P , W 3 ; x D ! M * V 3 p < y E " N + W 4 q = z F # O , X 5 r > { G $ P - Y 6 s ? | H % Q . Z 7 t @ } I & R / [ 8 u A ~ J ' S 0 \ 9 v B K ( T 1 ] : w C L ) U 2 < z G % R 0 ] ; y F $ Q / \ : x E # P . [ 9 w D " O - Z 8 v C ! N , Y 7 u B M + X 6 t A L * W 5 s @ ~ K ) V 4 r ? } J ( U 3 q > | I ' T 2 p = { H & S 1 = | J ) W 6 u C " P / ] < { I ( V 5 t B ! O . \ ; z H ' U 4 s A N - [ : y G & T 3 r @ M , Z 9 x F % S 2 q ? ~ L + Y 8 w E $ R 1 p > } K * X 7 v D # Q 0 > ~ M - \ < | K + Z : z I ) X 8 x G ' V 6 v E % T 4 t C # R 2 r A ! P 0 p ? N . ] = } L , [ ; { J * Y 9 y H ( W 7 w F & U 5 u D $ S 3 s B " Q 1 q @ O / ? P 1 r B # S 4 u E & V 7 x H ) Y : { K , \ = ~ N / p @ ! Q 2 s C $ T 5 v F ' W 8 y I * Z ; | L - ] > O 0 q A " R 3 t D % U 6 w G ( X 9 z J + [ < } M . @ " S 5 w H * [ = P 2 t E ' X : | M / q B $ U 7 y J , ] ? ! R 4 v G ) Z < ~ O 1 s D & W 9 { L . p A # T 6 x I + \ > Q 3 u F ( Y ; } N 0 r C % V 8 z K - A $ V 9 | N 1 t F ) [ > ! S 6 y K . q C & X ; ~ P 3 v H + ] @ # U 8 { M 0 s E ( Z = R 5 x J - p B % W : } O 2 u G * \ ? " T 7 z L / r D ' Y < Q 4 w I , B & Y = ! T 8 | O 3 w J . r E ) \ @ $ W ; R 6 z M 1 u H , p C ' Z > " U 9 } P 4 x K / s F * ] A % X < S 7 { N 2 v I - q D ( [ ? # V : ~ Q 5 y L 0 t G + C ( \ A & Z ? $ X = " V ; T 9 ~ R 7 | P 5 z N 3 x L 1 v J / t H - r F + p D ) ] B ' [ @ % Y > # W < ! U : S 8 } Q 6 { O 4 y M 2 w K 0 u I . s G , q E * D * p E + q F , r G - s H . t I / u J 0 v K 1 w L 2 x M 3 y N 4 z O 5 { P 6 | Q 7 } R 8 ~ S 9 T : U ; ! V < " W = # X > $ Y ? % Z @ & [ A ' \ B ( ] C ) E , s I 0 w M 4 { Q 8 U < # Y @ ' ] D + r H / v L 3 z P 7 ~ T ; " X ? & \ C * q G . u K 2 y O 6 } S : ! W > % [ B ) p F - t J 1 x N 5 | R 9 V = $ Z A ( F . v M 5 } T < $ [ C + s J 2 z Q 9 ! X @ ( p G / w N 6 ~ U = % \ D , t K 3 { R : " Y A ) q H 0 x O 7 V > & ] E - u L 4 | S ; # Z B * r I 1 y P 8 W ? ' G 0 y Q : # [ D - v N 7 X A * s K 4 } U > ' p H 1 z R ; $ \ E . w O 8 ! Y B + t L 5 ~ V ? ( q I 2 { S < % ] F / x P 9 " Z C , u M 6 W @ ) r J 3 | T = & H 2 | U ? ) s L 6 Y C - w P : $ ] G 1 { T > ( r K 5 X B , v O 9 # \ F 0 z S = ' q J 4 ~ W A + u N 8 " [ E / y R < & p I 3 } V @ * t M 7 ! Z D . x Q ; % I 4 Y D / z T ? * u O : % p J 5 Z E 0 { U @ + v P ; & q K 6 ! [ F 1 | V A , w Q < ' r L 7 " \ G 2 } W B - x R = ( s M 8 # ] H 3 ~ X C . y S > ) t N 9 $ J 6 " ] I 5 ! \ H 4 [ G 3 Z F 2 ~ Y E 1 } X D 0 | W C / { V B . z U A - y T @ , x S ? + w R > * v Q = ) u P < ( t O ; ' s N : & r M 9 % q L 8 $ p K 7 # K 8 % r N ; ( u Q > + x T A . { W D 1 ~ Z G 4 ! ] J 7 $ q M : ' t P = * w S @ - z V C 0 } Y F 3 \ I 6 # p L 9 & s O < ) v R ? , y U B / | X E 2 [ H 5 " L : ( v S A / } Z H 6 $ r O = + y V D 2 ] K 9 ' u R @ . | Y G 5 # q N < * x U C 1 \ J 8 & t Q ? - { X F 4 " p M ; ) w T B 0 ~ [ I 7 % s P > , z W E 3 ! M < + z X G 6 % t R A 0 ] L ; * y W F 5 $ s Q @ / ~ \ K : ) x V E 4 # r P ? . } [ J 9 ( w U D 3 " q O > - | Z I 8 ' v T C 2 ! p N = , { Y H 7 & u S B 1 N > . ~ ] M = - } \ L < , | [ K ; + { Z J : * z Y I 9 ) y X H 8 ( x W G 7 ' w V F 6 & v U E 5 % u T D 4 $ t S C 3 # s R B 2 " r Q A 1 ! q P @ 0 p O ? / O @ 1 " s S D 5 & w W H 9 * { [ L = . p P A 2 # t T E 6 ' x X I : + | \ M > / q Q B 3 $ u U F 7 ( y Y J ; , } ] N ? 0 ! r R C 4 % v V G 8 ) z Z K < - ~ P B 4 & x Y K = / ! s T F 8 * | ] O A 3 % w X J < . r S E 7 ) { \ N @ 2 $ v W I ; - q R D 6 ( z [ M ? 1 # u V H : , ~ p Q C 5 ' y Z L > 0 " t U G 9 + } Q D 7 * } p R E 8 + ~ q S F 9 , r T G : - s U H ; . ! t V I < / " u W J = 0 # v X K > 1 $ w Y L ? 2 % x Z M @ 3 & y [ N A 4 ' z \ O B 5 ( { ] P C 6 ) | R F : . " v Y M A 5 ) } q T H < 0 $ x [ O C 7 + s V J > 2 & z ] Q E 9 - ! u X L @ 4 ( | p S G ; / # w Z N B 6 * ~ r U I = 1 % y \ P D 8 , t W K ? 3 ' { S H = 2 ' | q U J ? 4 ) ~ s W L A 6 + u Y N C 8 - " w [ P E : / $ y ] R G < 1 & { p T I > 3 ( } r V K @ 5 * t X M B 7 , ! v Z O D 9 . # x \ Q F ; 0 % z T J @ 6 , " x ] S I ? 5 + ! w \ R H > 4 * v [ Q G = 3 ) u Z P F < 2 ( ~ t Y O E ; 1 ' } s X N D : 0 & | r W M C 9 / % { q V L B 8 . $ z p U K A 7 - # y U L C : 1 ( v \ S J A 8 / & } t Z Q H ? 6 - $ { r X O F = 4 + " y p V M D ; 2 ) w ] T K B 9 0 ' ~ u [ R I @ 7 . % | s Y P G > 5 , # z q W N E < 3 * ! x V N F > 6 . & ~ v ] U M E = 5 - % } u \ T L D < 4 , $ | t [ S K C ; 3 + # { s Z R J B : 2 * " z r Y Q I A 9 1 ) ! y q X P H @ 8 0 ( x p W O G ? 7 / ' w W P I B ; 4 - & x q Y R K D = 6 / ( ! z s [ T M F ? 8 1 * # | u ] V O H A : 3 , % ~ w p X Q J C < 5 . ' y r Z S L E > 7 0 ) " { t \ U N G @ 9 2 + $ } v X R L F @ : 4 . ( " | v p Y S M G A ; 5 / ) # } w q Z T N H B < 6 0 * $ ~ x r [ U O I C = 7 1 + % y s \ V P J D > 8 2 , & z t ] W Q K E ? 9 3 - ' ! { u Y T O J E @ ; 6 1 , ' " } x s ] X S N I D ? : 5 0 + & ! | w r \ W R M H C > 9 4 / * % { v q [ V Q L G B = 8 3 . ) $ z u p Z U P K F A < 7 2 - ( # ~ y t Z V R N J F B > : 6 2 . * & " ~ z v r ] Y U Q M I E A = 9 5 1 - ) % ! } y u q \ X T P L H D @ < 8 4 0 , ( $ | x t p [ W S O K G C ? ; 7 3 / + ' # { w s [ X U R O L I F C @ = : 7 4 1 . + ( % " | y v s p \ Y V S P M J G D A > ; 8 5 2 / , ) & # } z w t q ] Z W T Q N K H E B ? < 9 6 3 0 - * ' $ ! ~ { x u r \ Z X V T R P N L J H F D B @ > < : 8 6 4 2 0 . , * ( & $ " ~ | z x v t r p ] [ Y W U S Q O M K I G E C A ? = ; 9 7 5 3 1 / - + ) ' % # ! } { y w u s q ] \ [ Z Y X W V U T S R Q P O N M L K J I H G F E D C B A @ ? > = < ; : 9 8 7 6 5 4 3 2 1 0 / . - , + * ) ( ' & % $ # " ! ~ } | { z y x w v u t s r q pWinners (tested on hexadecimal for fairness):
Grok3 Deepseek R1 Gemini - even added colors and created a nice mathlab python!Failures!
Llama 4 ChatGPT (3.5?) MOST of humanity!