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#include <iostream>
#include <cstdlib>
#include <algorithm>
#include <set>
#include <vector>
int main( int argc , char * argv[] ) {
int n = std::atoi( argv[ 1 ] ) ;
if ( n > 20 ) {
std::cerr << "Number entered should be an integer up to 20!" ;
exit( EXIT_FAILURE ) ;
return 1 ;
}
else {
std::set<std::vector<int> > triples ;
for ( int i = 1 ; i < 101 ; i++ ) {
for ( int j = 1 ; j < 101 ; j++ ) {
for ( int k = 1 ; k < 101 ; k++ ) {
if ( n == i || n == j || n == k ) {
if ( i * i + j * j == k * k ) {
std::vector<int> triple { i , j , k } ;
std::sort( triple.begin( ) , triple.end( ) ) ;
triples.insert( triple ) ;
}
}
}
}
}
if ( ! triples.empty( ) ) {
for ( auto & vec : triples ) {
std::cout << '(' ;
for ( auto num : vec ) {
std::cout << num << ' ' ;
}
std::cout << ")\n" ;
}
}
else {
std::cout << -1 << std::endl ;
}
return 0 ;
}
}
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