You probably solved it by now. I also reminded little about J. I got this basically from imitation of documentation example.
t =: _4 [\ F
cs =: ,.@; +/
cs t
┌───────────────────────────────────────────────────────┐
│ 0 1 1 2│
│ 3 5 8 13│
│ 21 34 55 89│
│ 144 233 377 610│
│ 987 1597 2584 4181│
│ 6765 10946 17711 28657│
│ 46368 75025 121393 196418│
│ 317811 514229 832040 1346269│
│ 2178309 3524578 5702887 9227465│
│ 14930352 24157817 39088169 63245986│
│ 102334155 165580141 267914296 433494437│
│ 701408733 1134903170 1836311903 2971215073│
│ 4807526976 7778742049 12586269025 20365011074│
│ 32951280099 53316291173 86267571272 139583862445│
│ 225851433717 365435296162 591286729879 956722026041│
│1548008755920 2504730781961 4052739537881 6557470319842│
├───────────────────────────────────────────────────────┤
│1812440220360 2932589879121 4745030099481 7677619978602│
└───────────────────────────────────────────────────────┘
pyTony
pyMod
6,312 posts since Apr 2010
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Solved Threads: 987
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Oh yes, J language is powerful but rather cryptic, so I want to salute pyTony for coming up with a solution!
I meant to give you this hint ...
NB. exploring J lists
NB. using J language free from www.jsoftware.com
NB. see http://www.jsoftware.com/help/learning/contents.htm
NB. create a list of integers 0 to 11
mylist =: i. 12
NB. Show the numbers arranged in 4 columns
_4 [\ mylist
0 1 2 3
4 5 6 7
8 9 10 11
NB. sum up each column
+/ _4 [\ mylist
12 15 18 21
vegaseat
DaniWeb's Hypocrite
6,478 posts since Oct 2004
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Yes it is easy to get the sum added, but tough to get it boxed. I still did not unscramble the method used. Simple solution would of course be:
t,+/t
pyTony
pyMod
6,312 posts since Apr 2010
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I got this
data =: i. 3 4
data ; (3 1 $ +/"1 data)
┌─────────┬──┐
│0 1 2 3│ 6│
│4 5 6 7│22│
│8 9 10 11│38│
└─────────┴──┘
d =: ; 3 1 $ +/"1
d data
┌─────────┬──┐
│0 1 2 3│ 6│
│4 5 6 7│22│
│8 9 10 11│38│
└─────────┴──┘
pyTony
pyMod
6,312 posts since Apr 2010
Reputation Points: 879
Solved Threads: 987
Skill Endorsements: 26
Nice J experiment Tony!
J is full of surprises ...
NB. try this ...
+= i. 5
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
vegaseat
DaniWeb's Hypocrite
6,478 posts since Oct 2004
Reputation Points: 1,447
Solved Threads: 1,612
Skill Endorsements: 37
Oh, I got it indexes are same for the diagonal, this seems to also do it:
= i. 5
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
You could of course do tables with two arguments
a =. i.5
a <:/ a
1 1 1 1 1
0 1 1 1 1
0 0 1 1 1
0 0 0 1 1
0 0 0 0 1
a >:/ a
1 0 0 0 0
1 1 0 0 0
1 1 1 0 0
1 1 1 1 0
1 1 1 1 1
a =/ a
1 0 0 0 0
0 1 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 1
pyTony
pyMod
6,312 posts since Apr 2010
Reputation Points: 879
Solved Threads: 987
Skill Endorsements: 26
Laminating experiments
(<'Mo Tu We Th Fr Sa Su') ,:<5 7 $ (30 31,(1 + i. 30),1 2 3)
┌────────────────────┐
│Mo Tu We Th Fr Sa Su│
├────────────────────┤
│30 31 1 2 3 4 5│
│ 6 7 8 9 10 11 12│
│13 14 15 16 17 18 19│
│20 21 22 23 24 25 26│
│27 28 29 30 1 2 3│
└────────────────────┘
pyTony
pyMod
6,312 posts since Apr 2010
Reputation Points: 879
Solved Threads: 987
Skill Endorsements: 26
Breaking down the given fibonacci definition as my own:
sum_2 =: , [: +/_2&{. NB. take last two, sum and append result at end
fib =: 3 : '(sum_2 ^: (y - 1)) 0x 1x' NB. y + 1 values of fibonacci
fibn =: 13 : '{: fib y'
fibn
┌──┬──┬───┐
│[:│{:│fib│
└──┴──┴───┘
fibn 10
55
fib 10
0 1 1 2 3 5 8 13 21 34 55
fibn 10
55
33 3 $ fib 100
0 1 1
2 3 5
8 13 21
34 55 89
144 233 377
610 987 1597
2584 4181 6765
10946 17711 28657
46368 75025 121393
196418 317811 514229
832040 1346269 2178309
3524578 5702887 9227465
14930352 24157817 39088169
63245986 102334155 165580141
267914296 433494437 701408733
1134903170 1836311903 2971215073
4807526976 7778742049 12586269025
20365011074 32951280099 53316291173
86267571272 139583862445 225851433717
365435296162 591286729879 956722026041
1548008755920 2504730781961 4052739537881
6557470319842 10610209857723 17167680177565
27777890035288 44945570212853 72723460248141
117669030460994 190392490709135 308061521170129
498454011879264 806515533049393 1304969544928657
2111485077978050 3416454622906707 5527939700884757
8944394323791464 14472334024676221 23416728348467685
37889062373143906 61305790721611591 99194853094755497
160500643816367088 259695496911122585 420196140727489673
679891637638612258 1100087778366101931 1779979416004714189
2880067194370816120 4660046610375530309 7540113804746346429
12200160415121876738 19740274219868223167 31940434634990099905
51680708854858323072 83621143489848422977 135301852344706746049
pyTony
pyMod
6,312 posts since Apr 2010
Reputation Points: 879
Solved Threads: 987
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