IntegersRecreationOne.cpp

#include <iostream>
#include <cmath>
#include <string>
#include <vector>
#include <string_view>
using namespace std;
class SumSquaredDivisors {
public:
    static std::vector<std::pair<long long, long long>> listSquared(long long m, long long n) {
        std::vector<std::pair<long long, long long>> result;
        for (long long i = m; i <= n; ++i) {
            long long sumOfSquares = 0;
            for (long long d = 1; d * d <= i; ++d) {
                if (i % d == 0) {
                    sumOfSquares += d * d;
                    if (d != i / d) {
                        sumOfSquares += (i / d) * (i / d);
                    }
                }
            }
            long long sqrtSum = std::sqrt(sumOfSquares);
            if (sqrtSum * sqrtSum == sumOfSquares) {
                result.push_back({ i, sumOfSquares });
            }
        }
        return result;
    }
};
int main()
{
    SumSquaredDivisors::listSquared(122, 222);
}
/*Description:

1, 246, 2, 123, 3, 82, 6, 41 are the divisors of number 246. Squaring these divisors we get: 1, 60516, 4, 15129, 9, 6724, 36, 1681.
The sum of these squares is 84100 which is 290 * 290.
Task

Find all integers between m and n (m and n integers with 1 <= m <= n) such that the sum of their squared divisors is itself a square.

We will return an array of subarrays or of tuples (in C an array of Pair) or a string.
The subarrays (or tuples or Pairs) will have two elements: first the number the squared divisors of which is a square and then the sum of the squared divisors.
Example:

list_squared(1, 250) --> [[1, 1], [42, 2500], [246, 84100]]
list_squared(42, 250) --> [[42, 2500], [246, 84100]]

The form of the examples may change according to the language, see "Sample Tests".
Note

In Fortran - as in any other language - the returned string is not permitted to contain any redundant trailing whitespace:
you can use dynamically allocated character strings.
Fundamentals
Algorithms*/
//          ／＞　　フ
//　　　　　| 　n　n 彡
//　 　　　／`ミ＿xノ
//　　 　 /　　　 　 |
//　　　 /　 ヽ　　 ﾉ
//　 　 │　　|　|　|
//　／￣|　　 |　|　|
//　| (￣ヽ＿_ヽ_)__)
//　＼二つ
// ITS CAT FOR YOU