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 77?
(should map to) SOLUTION:
n o 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 o q s u w y { } ! # % ' ) + - / 1 3 5 7 9 ; = ? A C E G I K M O Q S U W Y n p r t v x z | ~ " $ & ( * , . 0 2 4 6 8 : < > @ B D F H J L N P R T V X p s v y | " % ( + . 1 4 7 : = @ C F I L O R U X n q t w z } # & ) , / 2 5 8 ; > A D G J M P S V Y o r u x { ~ ! $ ' * - 0 3 6 9 < ? B E H K N Q T W q u y } ! % ) - 1 5 9 = A E I M Q U Y p t x | $ ( , 0 4 8 < @ D H L P T X o s w { # ' + / 3 7 ; ? C G K O S W n r v z ~ " & * . 2 6 : > B F J N R V r w | ! & + 0 5 : ? D I N S X p u z $ ) . 3 8 = B G L Q V n s x } " ' , 1 6 ; @ E J O T Y q v { % * / 4 9 > C H M R W o t y ~ # ( - 2 7 < A F K P U s y % + 1 7 = C I O U n t z & , 2 8 > D J P V o u { ! ' - 3 9 ? E K Q W p v | " ( . 4 : @ F L R X q w } # ) / 5 ; A G M S Y r x ~ $ * 0 6 < B H N T t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S Z t { " ) 0 7 > E L S u } % - 5 = E M U p x ( 0 8 @ H P X s { # + 3 ; C K S n v ~ & . 6 > F N V q y ! ) 1 9 A I Q Y t | $ , 4 < D L T o w ' / 7 ? G O W r z " * 2 : B J R v ( 1 : C L U q z # , 5 > G P Y u ~ ' 0 9 B K T p y " + 4 = F O X t } & / 8 A J S o x ! * 3 < E N W s | % . 7 @ I R n w ) 2 ; D M V r { $ - 6 ? H Q w ! + 5 ? I S p z $ . 8 B L V s } ' 1 ; E O Y v * 4 > H R o y # - 7 A K U r | & 0 : D N X u ) 3 = G Q n x " , 6 @ J T q { % / 9 C M W t ~ ( 2 < F P x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O Z x # . 9 D O y % 1 = I U t , 8 D P o { ' 3 ? K W v " . : F R q } ) 5 A M Y x $ 0 < H T s + 7 C O n z & 2 > J V u ! - 9 E Q p | ( 4 @ L X w # / ; G S r ~ * 6 B N z ' 4 A N n { ( 5 B O o | ) 6 C P p } * 7 D Q q ~ + 8 E R r , 9 F S s - : G T t ! . ; H U u " / < I V v # 0 = J W w $ 1 > K X x % 2 ? L Y y & 3 @ M { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L Z { ) 7 E S t " 0 > L | + : I X z ) 8 G V x ' 6 E T v % 4 C R t # 2 A P r ! 0 ? N p . = L n } , ; J Y { * 9 H W y ( 7 F U w & 5 D S u $ 3 B Q s " 1 @ O q / > M o ~ - < K } - = M p 0 @ P s # 3 C S v & 6 F V y ) 9 I Y | , < L o / ? O r " 2 B R u % 5 E U x ( 8 H X { + ; K n ~ . > N q ! 1 A Q t $ 4 D T w ' 7 G W z * : J ~ / @ Q u & 7 H Y } . ? P t % 6 G X | - > O s $ 5 F W { , = N r # 4 E V z + < M q " 3 D U y * ; L p ! 2 C T x ) : K o 1 B S w ( 9 J n 0 A R v ' 8 I 1 C U z , > P u ' 9 K p " 4 F X } / A S x * < N s % 7 I n 2 D V { - ? Q v ( : L q # 5 G Y ~ 0 B T y + = O t & 8 J o ! 3 E W | . @ R w ) ; M r $ 6 H 3 F Y 2 E X ~ 1 D W } 0 C V | / B U { . A T z - @ S y , ? R x + > Q w * = P v ) < O u ( ; N t ' : M s & 9 L r % 8 K q $ 7 J p # 6 I o " 5 H n ! 4 G ! 5 I p $ 8 L s ' ; O v * > R y - A U | 0 D X 3 G n " 6 J q % 9 M t ( < P w + ? S z . B V } 1 E Y 4 H o # 7 K r & : N u ) = Q x , @ T { / C W ~ 2 F " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E Z " 7 L t ) > S { 0 E # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D Z # 9 O x . D $ ; R | 3 J t + B Y # : Q { 2 I s * A X " 9 P z 1 H r ) @ W ! 8 O y 0 G q ( ? V 7 N x / F p ' > U 6 M w . E o & = T ~ 5 L v - D n % < S } 4 K u , C % = U 8 P { 3 K v . F q ) A Y $ < T 7 O z 2 J u - E p ( @ X # ; S ~ 6 N y 1 I t , D o ' ? W " : R } 5 M x 0 H s + C n & > V ! 9 Q | 4 L w / G r * B & ? X $ = V " ; T 9 R ~ 7 P | 5 N z 3 L x 1 J v / H t - F r + D p ) B n ' @ Y % > W # < U ! : S 8 Q } 6 O { 4 M y 2 K w 0 I u . G s , E q * C o ( A ' A n ( B o ) C p * D q + E r , F s - G t . H u / I v 0 J w 1 K x 2 L y 3 M z 4 N { 5 O | 6 P } 7 Q ~ 8 R 9 S : T ! ; U " < V # = W $ > X % ? Y & @ ( C q , G u 0 K y 4 O } 8 S ! < W % @ n ) D r - H v 1 L z 5 P ~ 9 T " = X & A o * E s . I w 2 M { 6 Q : U # > Y ' B p + F t / J x 3 N | 7 R ; V $ ? ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > Z ) E t 0 L { 7 S " > * G w 4 Q ! > n + H x 5 R " ? o , I y 6 S # @ p - J z 7 T $ A q . K { 8 U % B r / L | 9 V & C s 0 M } : W ' D t 1 N ~ ; X ( E u 2 O < Y ) F v 3 P = + I z 8 V ' E v 4 R # A r 0 N = n , J { 9 W ( F w 5 S $ B s 1 O > o - K | : X ) G x 6 T % C t 2 P ! ? p . L } ; Y * H y 7 U & D u 3 Q " @ q / M ~ < , K } < n - L ~ = o . M > p / N ? q 0 O ! @ r 1 P " A s 2 Q # B t 3 R $ C u 4 S % D v 5 T & E w 6 U ' F x 7 V ( G y 8 W ) H z 9 X * I { : Y + J | ; - M @ s 3 S & F y 9 Y , L ? r 2 R % E x 8 X + K ~ > q 1 Q $ D w 7 W * J } = p 0 P # C v 6 V ) I | < o / O " B u 5 U ( H { ; n . N ! A t 4 T ' G z : . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 Z . O # D x 9 / Q & H } ? t 6 X - O $ F { = r 4 V + M " D y ; p 2 T ) K B w 9 n 0 R ' I ~ @ u 7 Y . P % G | > s 5 W , N # E z < q 3 U * L ! C x : o 1 S ( J A v 8 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 Z 0 S ) L " E { > t 7 1 U , P ' K " F } A x < s 7 n 2 V - Q ( L # G ~ B y = t 8 o 3 W . R ) M $ H C z > u 9 p 4 X / S * N % I D { ? v : q 5 Y 0 T + O & J ! E | @ w ; r 6 2 W / T , Q ) N & K # H E } B z ? w < t 9 q 6 n 3 X 0 U - R * O ' L $ I ! F ~ C { @ x = u : r 7 o 4 Y 1 V . S + P ( M % J " G D | A y > v ; s 8 p 5 3 Y 2 X 1 W 0 V / U . T - S , R + Q * P ) O ( N ' M & L % K $ J # I " H ! G F E ~ D } C | B { A z @ y ? x > w = v < u ; t : s 9 r 8 q 7 p 6 o 5 n 4 4 n 5 o 6 p 7 q 8 r 9 s : t ; u < v = w > x ? y @ z A { B | C } D ~ E F G ! H " I # J $ K % L & M ' N ( O ) P * Q + R , S - T . U / V 0 W 1 X 2 Y 3 5 p 8 s ; v > y A | D G " J % M ( P + S . V 1 Y 4 o 7 r : u = x @ { C ~ F ! I $ L ' O * R - U 0 X 3 n 6 q 9 t < w ? z B } E H # K & N ) Q , T / W 2 6 r ; w @ | E ! J & O + T 0 Y 5 q : v ? { D I % N * S / X 4 p 9 u > z C H $ M ) R . W 3 o 8 t = y B ~ G # L ( Q - V 2 n 7 s < x A } F " K ' P , U 1 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 Z 7 t > { E " L ) S 0 8 v A J ( S 1 o : x C ! L * U 3 q < z E # N , W 5 s > | G % P . Y 7 u @ ~ I ' R 0 n 9 w B K ) T 2 p ; y D " M + V 4 r = { F $ O - X 6 t ? } H & Q / 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . Z 9 x D # O . : z G ' T 4 t A ! N . n ; { H ( U 5 u B " O / o < | I ) V 6 v C # P 0 p = } J * W 7 w D $ Q 1 q > ~ K + X 8 x E % R 2 r ? L , Y 9 y F & S 3 s @ M - ; | J + Y : { I * X 9 z H ) W 8 y G ( V 7 x F ' U 6 w E & T 5 v D % S 4 u C $ R 3 t B # Q 2 s A " P 1 r @ ! O 0 q ? N / p > M . o = ~ L - n < } K , < ~ M / q @ " Q 3 u D & U 7 y H * Y ; } L . p ? ! P 2 t C % T 6 x G ) X : | K - o > O 1 s B $ S 5 w F ( W 9 { J , n = N 0 r A # R 4 v E ' V 8 z I + = P 3 v F ) Y < O 2 u E ( X ; ~ N 1 t D ' W : } M 0 s C & V 9 | L / r B % U 8 { K . q A $ T 7 z J - p @ # S 6 y I , o ? " R 5 x H + n > ! Q 4 w G * > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) Z > " S 7 { L 0 t E ) ? $ V ; R 7 | N 3 x J / t F + p B ' Y > # U : Q 6 { M 2 w I . s E * o A & X = " T 9 ~ P 5 z L 1 v H - r D ) n @ % W < ! S 8 } O 4 y K 0 u G , q C ( @ & Y ? % X > $ W = # V < " U ; ! T : S 9 R 8 ~ Q 7 } P 6 | O 5 { N 4 z M 3 y L 2 x K 1 w J 0 v I / u H . t G - s F , r E + q D * p C ) o B ( n A ' A ( o C * q E , s G . u I 0 w K 2 y M 4 { O 6 } Q 8 S : ! U < # W > % Y @ ' n B ) p D + r F - t H / v J 1 x L 3 z N 5 | P 7 ~ R 9 T ; " V = $ X ? & B * r G / w L 4 | Q 9 ! V > & n C + s H 0 x M 5 } R : " W ? ' o D , t I 1 y N 6 ~ S ; # X @ ( p E - u J 2 z O 7 T < $ Y A ) q F . v K 3 { P 8 U = % C , u K 4 } S < % n D - v L 5 ~ T = & o E . w M 6 U > ' p F / x N 7 V ? ( q G 0 y O 8 ! W @ ) r H 1 z P 9 " X A * s I 2 { Q : # Y B + t J 3 | R ; $ D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # Z D . x O 9 # E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " Z E 0 { S > ) t L 7 " F 2 ~ W C / { T @ , x Q = ) u N : & r K 7 # o H 4 Y E 1 } V B . z S ? + w P < ( t M 9 % q J 6 " n G 3 X D 0 | U A - y R > * v O ; ' s L 8 $ p I 5 ! G 4 ! n H 5 " o I 6 # p J 7 $ q K 8 % r L 9 & s M : ' t N ; ( u O < ) v P = * w Q > + x R ? , y S @ - z T A . { U B / | V C 0 } W D 1 ~ X E 2 Y F 3 H 6 $ r M ; ) w R @ . | W E 3 ! o J 8 & t O = + y T B 0 ~ Y G 5 # q L : ( v Q ? - { V D 2 n I 7 % s N < * x S A / } X F 4 " p K 9 ' u P > , z U C 1 I 8 ' v R A 0 n J 9 ( w S B 1 o K : ) x T C 2 ! p L ; * y U D 3 " q M < + z V E 4 # r N = , { W F 5 $ s O > - | X G 6 % t P ? . } Y H 7 & u Q @ / ~ J : * z W G 7 ' w T D 4 $ t Q A 1 ! q N > . ~ n K ; + { X H 8 ( x U E 5 % u R B 2 " r O ? / o L < , | Y I 9 ) y V F 6 & v S C 3 # s P @ 0 p M = - } K < - ~ o M > / q O @ 1 " s Q B 3 $ u S D 5 & w U F 7 ( y W H 9 * { Y J ; , } n L = . p N ? 0 ! r P A 2 # t R C 4 % v T E 6 ' x V G 8 ) z X I : + | L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { Z L > 0 " t S E 7 ) { M @ 3 & y Y L ? 2 % x X K > 1 $ w W J = 0 # v V I < / " u U H ; . ! t T G : - s S F 9 , r R E 8 + ~ q Q D 7 * } p P C 6 ) | o O B 5 ( { n N A 4 ' z N B 6 * ~ r S G ; / # w X L @ 4 ( | p Q E 9 - ! u V J > 2 & z n O C 7 + s T H < 0 $ x Y M A 5 ) } q R F : . " v W K ? 3 ' { o P D 8 , t U I = 1 % y O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x Z O D 9 . # x P F < 2 ( ~ t W M C 9 / % { q T J @ 6 , " x n Q G = 3 ) u X N D : 0 & | r U K A 7 - # y o R H > 4 * v Y O E ; 1 ' } s V L B 8 . $ z p S I ? 5 + ! w Q H ? 6 - $ { r V M D ; 2 ) w n R I @ 7 . % | s W N E < 3 * ! x o S J A 8 / & } t X O F = 4 + " y p T K B 9 0 ' ~ u Y P G > 5 , # z q U L C : 1 ( v R J B : 2 * " z r W O G ? 7 / ' w o T L D < 4 , $ | t Y Q I A 9 1 ) ! y q V N F > 6 . & ~ v n S K C ; 3 + # { s X P H @ 8 0 ( x p U M E = 5 - % } u S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t Z S L E > 7 0 ) " { t T N H B < 6 0 * $ ~ x r Y S M G A ; 5 / ) # } w q X R L F @ : 4 . ( " | v p W Q K E ? 9 3 - ' ! { u o V P J D > 8 2 , & z t n U O I C = 7 1 + % y s U P K F A < 7 2 - ( # ~ y t o W R M H C > 9 4 / * % { v q Y T O J E @ ; 6 1 , ' " } x s n V Q L G B = 8 3 . ) $ z u p X S N I D ? : 5 0 + & ! | w r V R N J F B > : 6 2 . * & " ~ z v r n W S O K G C ? ; 7 3 / + ' # { w s o X T P L H D @ < 8 4 0 , ( $ | x t p Y U Q M I E A = 9 5 1 - ) % ! } y u q W T Q N K H E B ? < 9 6 3 0 - * ' $ ! ~ { x u r o Y V S P M J G D A > ; 8 5 2 / , ) & # } z w t q n X U R O L I F C @ = : 7 4 1 . + ( % " | y v s p X V T R P N L J H F D B @ > < : 8 6 4 2 0 . , * ( & $ " ~ | z x v t r p n Y W U S Q O M K I G E C A ? = ; 9 7 5 3 1 / - + ) ' % # ! } { y w u s q o 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 p o nWinners (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!