From 68f0bc6cb8af083e38ae499edcea059f136a19fb Mon Sep 17 00:00:00 2001 From: Jonathan Chan Date: Thu, 13 Jul 2017 11:52:55 -0700 Subject: [PATCH] Finished Problem 74; added alternate solution without Map just to compare runtimes --- 74 | Bin 1886228 -> 1886356 bytes 74.hs | 4 ++-- 74.o | Bin 16680 -> 16960 bytes 74_alt | Bin 0 -> 1847964 bytes 74_alt.hi | Bin 0 -> 1089 bytes 74_alt.hs | 39 +++++++++++++++++++++++++++++++++++++++ 74_alt.o | Bin 0 -> 13136 bytes 7 files changed, 41 insertions(+), 2 deletions(-) create mode 100755 74_alt create mode 100644 74_alt.hi create mode 100644 74_alt.hs create mode 100644 74_alt.o diff --git a/74 b/74 index 8efd556431fbe25186efe136a12641ee696c3ccd..47fbf37be0ed49f670b73a4d45d8caf771af12a8 100755 GIT binary patch delta 105806 zcmZrY1z1&0)9mhvOM@UOrJ#fXDvBZsCWwI@*uHjwU07Iv7#wlz?n1rl+KS!Xi7j?_ z{BzE^!0Y$FJ`e7h+1=Th+1c6Ix-+K_m^ov>reKjwS3<-(WU(?#Y)H)xD<{PUw8LS= zO=>_}o=|#X;(bclg-PUj#X@dC&8{e|F$ue(td$#(G0Hc&J(;PrG8AhzSu!)5yt0tl z4zq%Pk*f-s1Z9;6)>Il=p_Jc3(cC9!40Ih$eQqkBTxXI2N~+svNB7J2Dv^=btj(fR+Fr*`S6icpyC)&v zlqy9QI?RpGD6Kn<#gdP_&D~;e1BpikCxv;`v-DFlQ*L0T-Nx1)oe4Ro?DHJMBCFdf zQC>x9zzwB~*9TfM%-Gty3Ly)P;4_rcwg(k^-!kNp66Kp^yFObJWrd~I%3$S>Zx2IL z#39K(N`hZ$S~Xi)>^FoQF}f6Yr-t19TJb%`aDNA4ec*s9SWVxz(dpt=B|cy#^*W%u z3rMrhz+!5~bj+Bjqy(0=X=1`0Kun$e#uI_o#3pQ?UP{H4+^0MWIz+k|SC?!`Yzplu zs4wj?T9kGmQa8RjV zwY0Tj!l>L%QYKg3M~)loR4Ycva-~;fdD73gIMRjC=Bt$@kuJuIQD+G0r!1~fi3~8_ ztTCRDO~&@M{xE8@Sm_Wm&&FYK0W0!i6*AszKc8C9o>V|+iZQv99kU)Wz5s=K=~7j&2_92`@*RT$$CGVJbkA}` zF^=qch>)|!$lfgoNm6F_S!sQKL_y)hN^D;*vPJ3DcN=-7`1FfoGL`B5 zrcl@6%EAFf$#5kqp}%?EH(H0+c%$q|XzH3YOr=xLHzzvX`u=PE`x$;;Q34XXu~NhA zp;txXLHr+se;j)_#2$LvvLcGzfGKp?5XCdWhomb91}wut`Om

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-> 5040 + 8 -> 40320 + 9 -> 362880 + +loops :: Integer -> Maybe Integer +loops n + | n `elem` [169, 363601, 1454] = Just 3 + | n `elem` [871, 872, 45361, 45362] = Just 2 + | n `elem` [1, 2, 145, 40585] = Just 1 + | otherwise = Nothing + +sumOfFactorialOfDigits :: Integer -> Integer +sumOfFactorialOfDigits n = sum $ map (digitFactorial . fromIntegral . digitToInt) $ show n + +getChainLength :: Integer -> Integer +getChainLength n = getChainLengthRec n 1 + +getChainLengthRec :: Integer -> Integer -> Integer +getChainLengthRec n length = + let next = sumOfFactorialOfDigits n + in case loops next of + Just x -> length + x + Nothing -> getChainLengthRec next (length + 1) + +numOfLoops :: Integer -> Integer -> Integer +numOfLoops bound length = foldr (\n num -> num + if getChainLength n == length then 1 else 0) 0 [3..bound] + +main = print $ numOfLoops 1000000 60 diff --git a/74_alt.o b/74_alt.o new file mode 100644 index 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