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Create Matrix with zeros, ones and some numbers.

Asked by HARSH ZALAVADIYA on 22 Mar 2019
Latest activity Commented on by John D'Errico
on 26 Mar 2019
Accepted Answer by Jan
I am struggling to create a following matrix in one go (using as few numbers used as possible). Can someone please help me out?
N =
0 0 0 0 0 1
0 0 0 0 0 1
1 2 3 4 5 1
0 2 4 6 8 1
8 7 2 5 9 1

  6 Comments

Personally, I like this, since it uses fewer numbers, sort of.
dec2base([1 1 123451 24681 872591],10) - '0'
But it depends on whether a multi-digit number is one number, or perhaps 6 numbers. It is fewer characters.
N = [[zeros(2,5); (1:1:5); (0:2:8); 8 7 2 5 9;],[ones(5,1)]]
The shortest I can Make.
Jan
on 25 Mar 2019
@HARSH: A simplification:
N = [[zeros(2,5); 1:5; 0:2:8; 8 7 2 5 9], ones(5,1)]

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2 Answers

Answer by Jan
on 25 Mar 2019
Edited by Jan
on 25 Mar 2019
 Accepted Answer

With 2 "numbers" only:
c = ['0 0 0 0 0 1 ', ...
'0 0 0 0 0 1 ', ...
'1 2 3 4 5 1 ', ...
'0 2 4 6 8 1 ', ...
'8 7 2 5 9 1']
sscanf(c, '%g', [6,5]).'
But it depends on the rules if characters are considered as "numbers". But what does "in one go" mean? Is calling functions like dec2base accepted also? Without dec2base:
floor(rem([1; 1; 123451; 24681; 872591] ./ 10.^(5:-1:0), 10))
Or is this "better":
floor(rem([1; 1; 123451; 24681; 872591] ./ flip(10.^(0:5), 10))

  1 Comment

Jan
on 25 Mar 2019
John's idea uses less numbers.

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Answer by John D'Errico
on 25 Mar 2019
Edited by John D'Errico
on 25 Mar 2019

Far fewer numbers required...
dec2base(hex2dec({'1','1','1E23B','6069','D508F'}),10) - '0'
ans =
0 0 0 0 0 1
0 0 0 0 0 1
1 2 3 4 5 1
0 2 4 6 8 1
8 7 2 5 9 1
Or, this, with even fewer numerics?
dec2base(base2dec({'1','1','2N97','J1L','IPAN'},36),10) - '0'
But more characters than my first solution.
dec2base([1 1 123451 24681 872591],10) - '0'

  2 Comments

Jan
on 26 Mar 2019
+1. {'1', '1', '2N97', 'J1L', 'IPAN'} - this reminds me to programming in ZX81 Basic. I had 1kB of RAM and VAL '1' took less memory that a numerical 1.
True. Though I'm not sure my nostalgia is well placed for those great, wonderful days of decks of punched cards and great spools of paper tape. There was a trick with decks of cards - draw a diagonal line across the top of the card deck, so that if one accidentally dropped the box of cards on the floor, they could be more easily re-odered.
Those were days when everything we did with computers was completely different. Output was onto great reams of computer printout. One day, I made a mistake plotting a simple figure with what was probably a Calcomp plotter. So the next day I received a long roll of Calcomp paper. Good quality paper too, 3 feet wide, and perhaps 100 feet long before they stopped it, with only a long diagonal line drawn down the length. I brought it home to use as a painting dropcloth, useful for many years afterwards.
I don't miss the days that much when my main computer interface was toggling the dip switches on the front panel of a computer. But there was a lot of fun to be had back then too.

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