Assign a number of random elements to different variables?

How can I assign integers from 1 to 40 randomly to six different variables such that they don't repeat in any of the arrays and no number gets left out?

The array size of each variable should be random as well.

An approach I have considered is using

v = randperm(40);

a = randi([1,40])

Sat1 = v(1:a)

b = randi([a,40])

Sat2 = v(a+1:b)

c = randi([b,40])

Sat3 = v(b+1:c)

d = randi([c,40])

Sat4 = v(c+1:d)

e = randi([d,40])

Sat5 = v(d+1:e)

f = randi([e,40])

Sat6 = v(e+1:f)

But then the problem is in some generations will lead to empty arrays or even unassigned integers! Any ideas?

Answer 1

[David Hill]

v=randperm(40);
k=[];
while isempty(k)
    a=randi(40,1000,6);%you could change 40 to something smaller if you want to limit the maximum
    b=sum(a,2);
    k=a(b==40,:);
end
k=k(1,:);
c=1;
for m=1:6
    Sat{m}=v(c:c+k(m)-1);
    c=c+k(m);
end

[Jawad Shah]

Thanks for the reply David.

I actually want the output to give me the randomly generated integers (1-40 in this case) distributed among 6 arrays e.g k1,k2,k3,k4,k5 and k6.

Also, each array should have a random size e.g. k1(5) k2(8) k3(3) k4(10) k5(4) k6(10)

[David Hill]

Is that not what I did? Except a stored all your variables in a single cell array (better).

[Jawad Shah]

Yes, it partially does. However, it does not meet the condition that no value should repeat in another array and that all the 40 integers should be allocated as a whole. Unless, I'm misunderstanding your code

[Jawad Shah]

A simple example for allocating integers 1 to 10 in 3 arrays

v = [1 2 3 4 5 6 7 8 9 10]

output:

k1 = [1 4]

k2 = [2 3 5 9 7]

k3 = [8 10 6]

[David Hill]

Did you run my code? I believe it gives you want you want.

[Jawad Shah]

Ok I see what I did wrong, it actually does. Thanks alot!

Answer 2

[Stephen23]

Using one cell array is much better than having lots of separate variables, so that is what this answer does.

>> v = randperm(40);  % random values
>> x = randi(6,1,40); % random indices

Method one: accumarray:

>> c = accumarray(x(:),v(:),[],@(a){a(:).'});

checking:

>> c{:}
ans =
    17    28    36     1
ans =
    35     9    20    37    24     4    21    23    33
ans =
     3    14     6     5    40    32    13    12
ans =
    29    31    38    10    15    16
ans =
    34    27     7    25    30    18    11    22
ans =
     8    19    26     2    39

Method two: arrayfun:

>> c = arrayfun(@(n)v(x==n),1:6,'uni',0);

checking:

>> c{:}
ans =
    28    17     1    36
ans =
    35    33    21    37    23     4    24     9    20
ans =
    32    40     6     3    14     5    13    12
ans =
    16    38    29    31    15    10
ans =
    22    34    11    30     7    25    27    18
ans =
     8    26    19     2    39

[Jawad Shah]

Interesting.... very handy functions. Thank you!