solution 11
ans:70600674
function solution_11()
nums = [
08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08;
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00;
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65;
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91;
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80;
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50;
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70;
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21;
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72;
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95;
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92;
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57;
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58;
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40;
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66;
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69;
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36;
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16;
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54;
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48;
]
# \
nums_of_left_down = [[nums[n,j],nums[n+1,j+1],nums[n+2,j+2],nums[n+3,j+3]] for n in 1:17,j in 1:17]
# /
nums_of_right_down = [[nums[n,j],nums[n+1,j-1],nums[n+2,j-2],nums[n+3,j-3]] for n in 1:17,j in 4:20]
# -
nums_of_horizon = [nums[n,col:col+3] for n in 1:20,col in 1:17]
# |
nums_of_vertical = [nums[:,col][i:i+3] for col in 1:20,i in 1:17]
reduce(max,
[map(__nums->reduce(*,__nums;init=1),nums_of_left_down)
map(__nums->reduce(*,__nums;init=1),nums_of_right_down)
map(__nums->reduce(*,__nums;init=1),nums_of_horizon)
map(__nums->reduce(*,__nums;init=1),nums_of_vertical)])
end
solution13
ans: 5537376230
function solution_13()
nums = [
37107287533902102798797998220837590246510135740250;
46376937677490009712648124896970078050417018260538;
74324986199524741059474233309513058123726617309629;
91942213363574161572522430563301811072406154908250;
23067588207539346171171980310421047513778063246676;
89261670696623633820136378418383684178734361726757;
28112879812849979408065481931592621691275889832738;
44274228917432520321923589422876796487670272189318;
47451445736001306439091167216856844588711603153276;
70386486105843025439939619828917593665686757934951;
62176457141856560629502157223196586755079324193331;
64906352462741904929101432445813822663347944758178;
92575867718337217661963751590579239728245598838407;
58203565325359399008402633568948830189458628227828;
80181199384826282014278194139940567587151170094390;
35398664372827112653829987240784473053190104293586;
86515506006295864861532075273371959191420517255829;
71693888707715466499115593487603532921714970056938;
54370070576826684624621495650076471787294438377604;
53282654108756828443191190634694037855217779295145;
36123272525000296071075082563815656710885258350721;
45876576172410976447339110607218265236877223636045;
17423706905851860660448207621209813287860733969412;
81142660418086830619328460811191061556940512689692;
51934325451728388641918047049293215058642563049483;
62467221648435076201727918039944693004732956340691;
15732444386908125794514089057706229429197107928209;
55037687525678773091862540744969844508330393682126;
18336384825330154686196124348767681297534375946515;
80386287592878490201521685554828717201219257766954;
78182833757993103614740356856449095527097864797581;
16726320100436897842553539920931837441497806860984;
48403098129077791799088218795327364475675590848030;
87086987551392711854517078544161852424320693150332;
59959406895756536782107074926966537676326235447210;
69793950679652694742597709739166693763042633987085;
41052684708299085211399427365734116182760315001271;
65378607361501080857009149939512557028198746004375;
35829035317434717326932123578154982629742552737307;
94953759765105305946966067683156574377167401875275;
88902802571733229619176668713819931811048770190271;
25267680276078003013678680992525463401061632866526;
36270218540497705585629946580636237993140746255962;
24074486908231174977792365466257246923322810917141;
91430288197103288597806669760892938638285025333403;
34413065578016127815921815005561868836468420090470;
23053081172816430487623791969842487255036638784583;
11487696932154902810424020138335124462181441773470;
63783299490636259666498587618221225225512486764533;
67720186971698544312419572409913959008952310058822;
95548255300263520781532296796249481641953868218774;
76085327132285723110424803456124867697064507995236;
37774242535411291684276865538926205024910326572967;
23701913275725675285653248258265463092207058596522;
29798860272258331913126375147341994889534765745501;
18495701454879288984856827726077713721403798879715;
38298203783031473527721580348144513491373226651381;
34829543829199918180278916522431027392251122869539;
40957953066405232632538044100059654939159879593635;
29746152185502371307642255121183693803580388584903;
41698116222072977186158236678424689157993532961922;
62467957194401269043877107275048102390895523597457;
23189706772547915061505504953922979530901129967519;
86188088225875314529584099251203829009407770775672;
11306739708304724483816533873502340845647058077308;
82959174767140363198008187129011875491310547126581;
97623331044818386269515456334926366572897563400500;
42846280183517070527831839425882145521227251250327;
55121603546981200581762165212827652751691296897789;
32238195734329339946437501907836945765883352399886;
75506164965184775180738168837861091527357929701337;
62177842752192623401942399639168044983993173312731;
32924185707147349566916674687634660915035914677504;
99518671430235219628894890102423325116913619626622;
73267460800591547471830798392868535206946944540724;
76841822524674417161514036427982273348055556214818;
97142617910342598647204516893989422179826088076852;
87783646182799346313767754307809363333018982642090;
10848802521674670883215120185883543223812876952786;
71329612474782464538636993009049310363619763878039;
62184073572399794223406235393808339651327408011116;
66627891981488087797941876876144230030984490851411;
60661826293682836764744779239180335110989069790714;
85786944089552990653640447425576083659976645795096;
66024396409905389607120198219976047599490197230297;
64913982680032973156037120041377903785566085089252;
16730939319872750275468906903707539413042652315011;
94809377245048795150954100921645863754710598436791;
78639167021187492431995700641917969777599028300699;
15368713711936614952811305876380278410754449733078;
40789923115535562561142322423255033685442488917353;
44889911501440648020369068063960672322193204149535;
41503128880339536053299340368006977710650566631954;
81234880673210146739058568557934581403627822703280;
82616570773948327592232845941706525094512325230608;
22918802058777319719839450180888072429661980811197;
77158542502016545090413245809786882778948721859617;
72107838435069186155435662884062257473692284509516;
20849603980134001723930671666823555245252804609722;
53503534226472524250874054075591789781264330331690;
]
sum_nums = reduce(+,nums)
str_nums = string(sum_nums)
collect(Iterators.take(str_nums,10))
end
solution 14
ans: 837799
(defn solution-14 []
"ans: 837799"
(let [f (fn [n]
(if (even? n)
(/ n 2)
(inc (* n 3))))
count-f (fn [n]
(if (= n 1)
4
(loop [n n
c 1]
(if (= n 1)
c
(recur (f n)
(inc c))))))]
(loop [num 1
c (count-f num)
res num]
(if (= num 999999)
res
(let [num' (inc num)
c' (count-f num')]
(if (> c c')
(recur num' c res)
(recur num' c' num')))))))
solution 15
ans: 35345263800
clojure
(defn get-nums [top-nums]
(loop [nums (rest top-nums)
n 0
res [1]]
(if (= n 19)
res
(recur (rest nums)
(inc n)
(conj res (+ (last res)
(first nums)))))))
(defn get-last-nums [top-nums n]
(loop [nums top-nums
count 0]
(if (= count n)
nums
(recur (get-nums nums)
(inc count)))))
(defn solution-15 []
(let [top-nums (cons 0 (take 19 (repeat 1)))]
(last (get-last-nums top-nums 19))))
julia
function solution_15()
get_nums = function get_nums(top_nums,n=1,res=[1])
nums = collect(Iterators.drop(top_nums,1))
if n == 20
res
else
get_nums(nums,
n+1,
push!(res,res[end] + first(nums)))
end
end
get_last_nums = function get_last_nums(top_nums,n,count=1)
nums = top_nums
if count == n
nums
else
get_last_nums(get_nums(nums),n,count+1)
end
end
top_nums = [0,repeat([1],19)...]
last(get_last_nums(top_nums,20))
end
请大家见谅,我是个Clojure爱好者,函数式写惯了,遇到循环的第一反应是尾递归,而不是while
solution 16
ans: 1366
function solution_16()
str_num_to_int = (str::AbstractString)-> begin
char_num_to_int = ch->Int(ch) - Int('0')
map(char_num_to_int,collect(str))
end
num = BigInt(2)^1000
reduce(+,
str_num_to_int(string(num));init=0)
end
solution 18
ans: 1074
clojure
(defn get-nums [nums1 nums2]
;; nums1: - -
;; nums2: - - -
(loop [nums1 nums1
nums2 nums2
res []]
(if (= 1 (count nums2))
res
(recur (rest nums1)
(rest nums2)
(conj res
(+ (first nums1)
(max (first nums2)
(first (rest nums2)))))))))
(defn get-max [nums]
(loop [nums (reverse nums)
res (first nums)]
(if (= 1 (count res))
(first res)
(recur (rest nums)
(get-nums (first (rest nums)) res)))))
function solution_18()
get_nums = function get_nums(nums1,nums2,res=[])
# nums1 - - -
# nums2 - - - -
if length(nums2) == 1
res
else
get_nums(Iterators.drop(nums1,1),
Iterators.drop(nums2,1),
push!(res,first(nums1) + max(first(nums2),first(Iterators.drop(nums2,1)))))
end
end
get_max = function(nums,res=first(nums))
if length(res) == 1
first(res)
else
get_max(Iterators.drop(nums,1),get_nums(first(Iterators.drop(nums,1)),res))
end
end
nums = [
[75],
[95 64],
[17 47 82],
[18 35 87 10],
[20 04 82 47 65],
[19 01 23 75 03 34],
[88 02 77 73 07 63 67],
[99 65 04 28 06 16 70 92],
[41 41 26 56 83 40 80 70 33],
[41 48 72 33 47 32 37 16 94 29],
[53 71 44 65 25 43 91 52 97 51 14],
[70 11 33 28 77 73 17 78 39 68 17 57],
[91 71 52 38 17 14 91 43 58 50 27 29 48],
[63 66 04 68 89 53 67 30 73 16 69 87 40 31],
[04 62 98 27 23 09 70 98 73 93 38 53 60 04 23]]
get_max(Iterators.reverse(nums))
end
solution 20
ans: 648
function solution_20()
fact = function fact(n,a=1)
if n == 1
a
else
fact(n-1,a*n)
end
end
str_num_to_int = (str::AbstractString)-> begin
char_num_to_int = ch->Int(ch) - Int('0')
map(char_num_to_int,collect(str))
end
nums = str_num_to_int(string(fact(BigInt(100))))
reduce(+,nums;init=0)
end