Finding the max sum of the sub arrays.
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Having a vector a, that contains sub arrays of 4 elements (their amount is unknown), knowing their starting indices in a and ending indices in a in two vectors=
start=[y1 y2 y3.....]
end=[x1 x2 x3.....]
(yet, we don't know how much sub arrays we get, so the length of the start/end vector is unknown, but they are equal). We need to create the vector of the sums like following: sums=[sum(a((y1):(x1))) sum(a((y2):(x2))) ....] and then find the max sum (that's an easy part).
for example:
a=[7 2 6 14 30 15 12 0 20 21 300 67]
start=[2 8]
end=[5 11]
sums=[52 341]
How can we write the code for the general problem?
Only these functions are allowed :
min , max , sum , find , any , all , isempty , sort, length
I can't figure it out without using the matrices, which is forbidden. Any ideas?
4 Comments
Accepted Answer
Valeria
on 6 Dec 2014
1 Comment
Image Analyst
on 6 Dec 2014
You managed to create an error, not solve the problem. Even if you fix the variable names, it's not right because you're not even involving the "a" in any way. Here's your code
a=[7 2 6 14 30 15 12 0 20 21 300 67]
starting=[2 8]
ending=[5 11]
desiredSums=[52 341] % What you want to get
% Now your code:
% Create two helper arrays
ind2=starting+1;
ind3=starting+2;
% So the sum vector will be:
sums=starting+ind2+ind3+ending
And here's the output
desiredSums =
52 341
sums =
14 38
As you can see, your sums do not produce the desired result.
More Answers (3)
Image Analyst
on 5 Dec 2014
Valeria: You simply need to give an index to the sums vector and put that index into the "a" array inside the sum function.
a=[7 2 6 14 30 15 12 0 20 21 300 67]
startingIndexes = [2, 8]
endingIndexes = [5, 11]
for k = 1 : length(startingIndexes)
sums(k) = sum(a( you do this part) )
end
Inside you simply need to give the starting and ending indexes as a function of k. Trivial - I think you can do that part.
Andrei Bobrov
on 6 Dec 2014
Edited: Andrei Bobrov
on 6 Dec 2014
a=[7 2 6 14 30 15 12 0 20 21 300 67];
start=[2 8];
end1 =[5 11];
a1 = cumsum(a);
out = diff(a1([start;end1]))+a(start);
1 Comment
Image Analyst
on 6 Dec 2014
Edited: Image Analyst
on 6 Dec 2014
She already told Matt that she could not use the cumsum() function. And told me that she can't use loops (so that makes it almost impossible to do a cumsum manually). Apparently her professor found a trick where it is possible to get the answer using only the functions min , max , sum , find , any , all , isempty , sort, length , and no matrices (2-D arrays) and no loops of any kind . I'm stumped.
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