Write a function so that, when given a natural number N, the function returns the value max  n ∈ N : 12 + 22 + · · · + n 2 ≤ N

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Vin Sen Lee
Vin Sen Lee 2016-1-17
评论： Torsten 2022-10-20
Write a function so that, when given a natural number N, the function returns the value max n ∈ N : 12 + 22 + · · · + n 2 ≤ N
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Walter Roberson
Walter Roberson 2017-1-22
So the question is about finding the largest n such that the sum of squares of 1 to n is less than or equal to the original number? Hmmm, plausibly.
It would have been easy enough for the poster to have clarified that when asked a year ago.

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回答（4 个）

Andrei Bobrov
Andrei Bobrov 2016-1-17
your_function = @(n,m,N)sum((n+m):n:N);
use
>> n = 10;
m = 2;
N = 90;
>> your_function(n,m,N)
ans =
376
>>
Torsten
Torsten 2016-1-18
n=floor((-7+sqrt(20*N+49))/10);
Best wishes
Torsten.
Rusty
Rusty 2016-1-17
function [ p ] = rusty( N)
a(1)=12;
i=1;
while sum(a(:))<=N
a(i+1)=a(i)+10;
i=i+1;
end
if sum(a(:))>N
a(end)=[];
end
if isempty(a)
disp('N is less than 12');
return
else
p=(a(end)-2)/10
end
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Rusty
Rusty 2016-1-18
you just go and save this file. now open the command window and write : rusty(36), if N=36, and you will get the answer

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Márcio
Márcio 2022-10-20
Write a function that for a given natural number nn returns the matrix which has 2 rows, in its first row every entry is 1, while in its second row there are the numbers n,n−1,…,1n,n−1,…,1 (in this order).
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Torsten
Torsten 2022-10-20
Ran in:
N = 3624;
v = N:-1:1;
A = [ones(1,2*N);[v,v]]
A = 2×7248
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3624 3623 3622 3621 3620 3619 3618 3617 3616 3615 3614 3613 3612 3611 3610 3609 3608 3607 3606 3605 3604 3603 3602 3601 3600 3599 3598 3597 3596 3595

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