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0000000000000000000000000000000000000000..063ea48aff1cd04c8797d70c3f18214cc4621041 GIT binary patch literal 1072 zcmZSlbuNVg3Rr-&1rQrRu@R7F$_C;vAOi##88~xSTu_mHC((C-4W)UYG%u9q13K;^NDV{}fK2s)cYFHseP-|36WGdu{2VzggC51vYRQfz>^JL3TOrb3*1?pN&7V z#1bwe$gqD^wf@|MmWeiO(^o8+cLFXW)b!-(gusQiyJVNy$xY|Vd3FFw`Hwzj61l)t6Fl(`+e?U z8BlbI8TNiEyXDe zfbqfviZ~!(vSrA$oAtxj_Rn#-6h4ONJ8^mt32+>PnGm;t(hU-jfU;R~6EpK*Y+odH zQetr`RGcF{BU!hgC^Hwz=g!P4Nli~J(oN4TfGKhJaMp7|XyF9$-E#61OP~sbo%8cb zit=;x9199^GLsWaGRt7bbGsy#BJ31dBwlb}jDRZ5C{^HWN5QUOKs>Fodj literal 0 HcmV?d00001 diff --git a/64.hs b/64.hs new file mode 100644 index 0000000..80b423f --- /dev/null +++ b/64.hs @@ -0,0 +1,16 @@ +next :: (Integer, Integer, Integer) -> (Integer, Integer, Integer) +next (a, b, n) = let nextA = (n - b * b) `div` a + nextB = nextA * ceiling((sqrt (fromIntegral n) + fromIntegral b) / fromIntegral nextA - 1) - b + in (nextA, nextB, n) + +hasOddPeriod :: Integer -> Bool +hasOddPeriod n = let sqrtn = floor . sqrt . fromIntegral $ n + initial = (1, sqrtn, n) + in if sqrtn * sqrtn == n + then False + else odd . (+1) . length $ takeWhile (initial /=) (tail $ iterate next initial) + +numOfOddPeriods :: Integer -> Int +numOfOddPeriods n = length $ filter (== True) $ map hasOddPeriod [2..n] + +main = print $ numOfOddPeriods 10000 diff --git a/64.o b/64.o new file mode 100644 index 0000000000000000000000000000000000000000..306a80834da7553d638f0510f92acd9420aff22d GIT binary patch literal 17720 zcmdU#4RBo5b;q9&#cmRioTQDWv{(!xn1CJG4pa#rmTj%PE6cL6<=FTm(pp+c3zBwO zt&9;#QEfiFWn4VdY3n5I#9<~GPiY!Yzs5->sR$5J+My<$G;T9P)YhGd78n6(Dwt6B z{O>#G?SHTK*`CCmY46PH-uHXwopbKF=iYbUdwM9**?w6~O<<)axHBjp84ZF{Ys>9c z*K7^03f>z*yJm?Hw39~?XF5MVU-)QpIxz>SWNGhw^6~ZcYro}=rW0pEnwUwJ60^xe z&z*S%VC}igT;0-EG+nt&>kmlHdiSOdJ=?J9wlD3h4TAdWCcpruSBwPE9{@ShO{WC3rDVx3o=-OC={TH@%m3~zm+S4?9aSk=gbzxY@ACC7T5fFdo5bv88xKNsQ5f5#BLqr1!_8bL!63oi~ zXT5dO35mlD;;^0b;|@P4=gEy3L_$+?#zpD8dBORq_FdlR#eTEp#ZKS8<)@nisgfiI z67&qY6=ujqrfjpg9A*fdcZKtHsSwN82gI)y^DDj3uX4VghMrVuPty!?^)#h$8&ddv zZcZ&oVNB<}<>{=kYY|m$P923(lo|_3dKE7F3{|iw0=GwX?2;!0MrkCLD z3?PC#N3%|_KkMM~_E?wemQF&C7500LK#OZmd|qa8-ElsjXQ1lBZcQhgV8!C7(Of19 z!r^X}R#@1thXk2l_p)ExE`eXA>Z_*t^uO$nWTQWP7v~Q$#MUXKQ%m?6WQ5GL&Za4x)SHE$yRRfm&xmJ>&t(F)l1moM zYf|Jzom;Ld?^`f}^2_o=j!1vqeIk`S^y=cy(rmKya^M@9(s0h@{y_HN6LAU znExwW9(xNpcU|SYhA>LK{P@0feOcw+`B-gESJik!AI8u8znb-FO7Lw>L@Nreuam{v zuJ4wCi|*UEv$AsdWu#_t7d&u;F|dRC527xhWD9n>e;jmYpz5~NBmp0``h zxMyF-jSQZEPEFSmYN?EJHJ*T(lfWj(Xlr+pY}rmVNo6bMtlw0BNIGcRl1tnF0i zW7mbW=(PCk;d#);@u4|TF|VgDZ$d{gzu*4(<~OgejchtTVPV-7i<2GW{`A9l>(DRE zueyWFC4$noUcK4WJ+=fu2KNLm*;Fcqx0Vw?Q$T1ukFcX>Pvhvc!_mzK*T}wePqF zU7`Gr_V3aCp<@4D_E21%tG@vOZfkl4cpj=!l2EcRhY95euli=CQN%IrD2_s0fnR(d zO-TUjZNstBh6$rlc0k<0ovK>aX?&oya-MVkVGQwPk6Q9CoTr_o^23PE(ZrnCcYVIN zd5SEtdHOTme}9hoiT%$T(jl?$*5zT2WB2(sL${QJobZAijqZ$SuUyN|UFU_`dyc>b zDDaENx9xnc&?YJozljRBWaqKR>(rX_*`q})F<&j6LQ}3Im*|f@$6O+Hmsri*nvryN z6iPQ~eTfbH-&MCExxTSwMe~YPL9k-%fstZ*pVY-dSPxmNkQq*|C}s{6gB7mXpDw0@ z75m1<v-AgB7E>VrIpLuI7%4a-&m+}_ea-^92Zg*4@996#09S1>1dA&}w&nV9+KcW0l(RyTwsuQ9b3_R|JcRq50?T zxYj*)@~NlY!4(Vm3o75p!qWb}@+}@e>yB%JlUS^!d@`(p*Iiv3jj!V19oMJ{dc#Bt zw&}Rly1FK4)DFmWa^*_pdF9KLe@OXBbZ?pxLRb!QC!R17b~@MAIj&tmvY46l*j!}cj~FJ z7(GE@^wyrf;oR7GA>-QF(ScmBZPljzJ!6GpFt(~=Lytq!N=B{rsI@6-ZH!u}sMQg* zI-^!s)Y=lY?uuGlqt>>t)wgQn0c&*)^~eT2D6C2)BcJ{USRmc9y1J{W{ zZfBWF+j>@R?TFajQR|aYYrC~J-Ws(AqSj#4%0#W9sMQy>_C>A!sMQj-`c`dji&#GL zb!^qfe1u1$)@anaCu-%wR*%GFFguzp_P8fJIp`VB_xB7G(j)5JzVuk8N1lczvR&gN zJrn%{Ql&&M+`FV0n)0Z+SEgGt>0#)1$_wdX--svKpWW~4Z6D61 zi|S%qZhYTxCi2j`c%YCAJ0W%=8Fb$DBHuHR9xDdrYa+$2ksTfMwA+={9U8l@P(1_- z!d13YNcR=9xzY5nXQ}K{7_PC<#7Mr79SKLO`+2Y;C<9UhkuGQUTI|#*KU(fhxzSvV(8B}$wyU-=+wM|klUCe5}BmHFP ziiJ(N{&5<(stQzwuOH3azkY3d0Q38X{2b1P`8qK&IFb(|q{%grMW~Q6iTnI~^DM6) zPLGXARGsXu&WTlh+wt4Abz%Pa>9Y<~Xd)X4mdC;k;=ph&SMXD(Gdm_pQ_K|7#cEmX zP8ZYJh1nY#k8^%(V!^alRrh9g3}q?s&dD};pD~eb&kgsdF`K0C*50*gS65|+JlWyQ z=wMNowQ`3m){y9Wj9RLzyEC;h5wY?$RThRgsa$`5bm~HbzKy3xT)Z+CFHazxVeRQ* z8Ckn6mOW04hD#-CKdn5ejEJ<$YSgU@a{2T+WX*^yNT%O&p&}vI<#Odz@B~9&y9?vh zTy>*AkR6sxiwwEBID!djrpv_L3d>Gz8_L~}v_LIAjV^E!+a4GzW=1Bmsm(pIHqqH# z>&ptw1T)V_cP^hykM<9Xi-qw~Tq+vvy7Ha|EqP1|@N7DJE-cprO2Om!ue(3p$A@pYr z$-6Ija_rlEEynJhBl4V%;@e$A9Cq!!>{gH4``5H` zKOeFr&-r##x$n=nNuKlV2gKozy+3~4r%fjBoF`XJ@j8F_v7|Wl4n0>Nk5O{ugLQ|ia(Bc|6m+;?LBv= za@b8eiSSQ1$+O)(#5vC=m0R3w9sX02=eYe1ark5J(a$P}KfFG_O7iSay}SoN@$Ift z?#E#_aoDx@^hM>q-A|J|+dZz_?9S-;zC`k_U-CSUGV94(e6G>+@DuX$5SDVA$L+hp zPU0P*sQWvi9R9;6E60?ZpUd>bUlZRf%<}V}NdFd7BK5zLetRc@)3Y)B^%(vZ@vWqP zvAlmkF+XiRT&~<7$6J-7zq}6LPMq^|Epc9lcPcl#dKi308@}DgNY7g5aroz$r^oz% zAx6*liDTUDJITL!+`g0ir*ibSo9s5|D|PeV?B1c=_kV+O=t+{E%_P5$_zvP6&mrZ$ z-OrIc&-bT@qrdi@=W8Cf?>v92-0$zKaAm@%wwVa#XyYTu1UeuUnOy{zfR3 zk|BBS*M8-wa1Hu~@*r{hmI8iMxv&4*%6fdVO}-{$c3%6UvMbjQ;vS|Ixw%?`epn7U(@f1@Spv;K{@pF$j{2n#Cr`&-KyO5+x_kk>4%H< zJ@)sAr%BIOh<6Zwfw=1`9Fy_`kK6apv&tdH_oG)yp2uske(yB@8=+jvI^~ED?AmwT z?H;%9w0$18@3i}s!yg`(hl%&84XJ|96NgVWUZ<3spNAnV<=>V2PB@; zx!LX2bN@hmvoPC_{fP8$QCUJN!B2u*>V-B0PjhK^)e(R`{n`x%qQK&!vg8 zKLygm{yeDM#&=Tn{3h{XWvCt{K0^Gsa`R_O&%H#P{rMN==okC*D(Sz6^uIwoPrOsx zu=@%5S^TGo;~kOlod~)V$m4&RjDL-IEAb@|l!B^NekPxd;Xfq4p5!O=ITxqfh+j?5 zgYCp$B+mY4^?3?f* zZ{jT9OZ&j>r009YTZw-Ri75qkxnB$mi^IfwwT%{`E0y{7mwiA^R4J-1I&-VEz%Yhf?0W5fbjs`- zz`Y#T`}SMa{;UaV?O%^Irdt1PQ97lLq5s%&*!9-`EyDah2?~~d5PugIU$$37z?wZ# zyIybm(OJ9RYTOU}zC(Dm+UGe2Zr7oWf@44S;K%j)W4cel_5fq$_aED#YW7=}$_Xi- LvkSt*1@`|3C>o+d literal 0 HcmV?d00001