Language: C++

#include <iostream>
#include <unordered_map>
#include <algorithm>
#include <vector>

using namespace std;
int N;

vector<int> p;
bool s[100005];

using pii = pair<long long int, int>;

vector<pii> factor(long long int x) {
    vector<pii> f;
    for(long long int curp: p) {
        int dc = 0;
        while(x % curp == 0) {
            dc ++;
            x /= curp;
        }
        dc %= 3;
        if(dc != 0) {
            f.push_back(make_pair(curp, dc));
        }
    }
    if(x != 1) {
        f.push_back(make_pair(x, 1));
    }
    return f;
}

long long int a[100005];
vector<pii> fa[100005];

unordered_map<vector<pii>, int> m;


vector<pii> dual(vector<pii> x) {
    vector<pii> d = x;
    for(int i = 0; i < d.size(); i++) {
        d[i].second = 3-d[i].second;
    }
    return d;
}
int main() {
    for(int i = 2; i <= 100000; i++) {
        if(!s[i]) {
            p.push_back(i);
            for(int j = i; j <= 100000; j += i) {
                s[j] = true;
            }
        }
    }

    cin >> N;
    for(int i = 0; i < N; i++) {
        cin >> a[i];
    }

    for(int i = 0; i < N; i++) {
        fa[i] = factor(a[i]);
        /*for(auto x: fa[i]) {
            cerr << x.first << " " << x.second << " --- ";
        }
        cerr << "\n";*/
        m[fa[i]]++;
    }
    
    int ans = 0;
    bool one = false;
    for(int i = 0; i < N; i++) {
        if(fa[i].size() == 0) {
            one = true;
            continue;
        }
        vector<pii> flip = dual(fa[i]);
        int c1 = m[flip];
        int c2 = m[fa[i]];
        //cerr << "Trying " << a[i] << " choose " << c1 << " " << c2 << "\n";
        ans += max(c1, c2);
        m[flip] = 0;
        m[fa[i]] = 0;
    }
    if(one) {
        ans++;
    }
    cout << ans << "\n";
    return 0;
}


Compiler output:
a.cc:36:33: error: use of deleted function 'std::unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>::unordered_map() [with _Key = std::vector<std::pair<long long int, int> >; _Tp = int; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _Pred = std::equal_to<std::vector<std::pair<long long int, int> > >; _Alloc = std::allocator<std::pair<const std::vector<std::pair<long long int, int> >, int> >]'
   36 | unordered_map<vector<pii>, int> m;
      |                                 ^
In file included from /usr/include/c++/14/unordered_map:41,
                 from a.cc:2:
/usr/include/c++/14/bits/unordered_map.h:148:7: note: 'std::unordered_map<_Key, _Tp, _Hash, _Pred, _Alloc>::unordered_map() [with _Key = std::vector<std::pair<long long int, int> >; _Tp = int; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _Pred = std::equal_to<std::vector<std::pair<long long int, int> > >; _Alloc = std::allocator<std::pair<const std::vector<std::pair<long long int, int> >, int> >]' is implicitly deleted because the default definition would be ill-formed:
  148 |       unordered_map() = default;
      |       ^~~~~~~~~~~~~
/usr/include/c++/14/bits/unordered_map.h:148:7: error: use of deleted function 'std::_Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal, _Hash, _RangeHash, _Unused, _RehashPolicy, _Traits>::_Hashtable() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _Alloc = std::allocator<std::pair<const std::vector<std::pair<long long int, int> >, int> >; _ExtractKey = std::__detail::_Select1st; _Equal = std::equal_to<std::vector<std::pair<long long int, int> > >; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; _RehashPolicy = std::__detail::_Prime_rehash_policy; _Traits = std::__detail::_Hashtable_traits<true, false, true>]'
In file included from /usr/include/c++/14/bits/unordered_map.h:33:
/usr/include/c++/14/bits/hashtable.h:539:7: note: 'std::_Hashtable<_Key, _Value, _Alloc, _ExtractKey, _Equal, _Hash, _RangeHash, _Unused, _RehashPolicy, _Traits>::_Hashtable() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _Alloc = std::allocator<std::pair<const std::vector<std::pair<long long int, int> >, int> >; _ExtractKey = std::__detail::_Select1st; _Equal = std::equal_to<std::vector<std::pair<long long int, int> > >; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; _RehashPolicy = std::__detail::_Prime_rehash_policy; _Traits = std::__detail::_Hashtable_traits<true, false, true>]' is implicitly deleted because the default definition would be ill-formed:
  539 |       _Hashtable() = default;
      |       ^~~~~~~~~~
/usr/include/c++/14/bits/hashtable.h:539:7: error: use of deleted function 'std::__detail::_Hashtable_base<_Key, _Value, _ExtractKey, _Equal, _Hash, _RangeHash, _Unused, _Traits>::_Hashtable_base() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _ExtractKey = std::__detail::_Select1st; _Equal = std::equal_to<std::vector<std::pair<long long int, int> > >; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; _Traits = std::__detail::_Hashtable_traits<true, false, true>]'
In file included from /usr/include/c++/14/bits/hashtable.h:35:
/usr/include/c++/14/bits/hashtable_policy.h:1731:7: note: 'std::__detail::_Hashtable_base<_Key, _Value, _ExtractKey, _Equal, _Hash, _RangeHash, _Unused, _Traits>::_Hashtable_base() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _ExtractKey = std::__detail::_Select1st; _Equal = std::equal_to<std::vector<std::pair<long long int, int> > >; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; _Traits = std::__detail::_Hashtable_traits<true, false, true>]' is implicitly deleted because the default definition would be ill-formed:
 1731 |       _Hashtable_base() = default;
      |       ^~~~~~~~~~~~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1731:7: error: use of deleted function 'std::__detail::_Hash_code_base<_Key, _Value, _ExtractKey, _Hash, _RangeHash, _Unused, __cache_hash_code>::_Hash_code_base() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _ExtractKey = std::__detail::_Select1st; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; bool __cache_hash_code = true]'
/usr/include/c++/14/bits/hashtable_policy.h: In instantiation of 'std::__detail::_Hashtable_ebo_helper<_Nm, _Tp, true>::_Hashtable_ebo_helper() [with int _Nm = 1; _Tp = std::hash<std::vector<std::pair<long long int, int> > >]':
/usr/include/c++/14/bits/hashtable_policy.h:1328:7:   required from here
 1328 |       _Hash_code_base() = default;
      |       ^~~~~~~~~~~~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1245:49: error: use of deleted function 'std::hash<std::vector<std::pair<long long int, int> > >::hash()'
 1245 |       _Hashtable_ebo_helper() noexcept(noexcept(_Tp())) : _Tp() { }
      |                                                 ^~~~~
In file included from /usr/include/c++/14/string_view:50,
                 from /usr/include/c++/14/bits/basic_string.h:47,
                 from /usr/include/c++/14/string:54,
                 from /usr/include/c++/14/bits/locale_classes.h:40,
                 from /usr/include/c++/14/bits/ios_base.h:41,
                 from /usr/include/c++/14/ios:44,
                 from /usr/include/c++/14/ostream:40,
                 from /usr/include/c++/14/iostream:41,
                 from a.cc:1:
/usr/include/c++/14/bits/functional_hash.h:102:12: note: 'std::hash<std::vector<std::pair<long long int, int> > >::hash()' is implicitly deleted because the default definition would be ill-formed:
  102 |     struct hash : __hash_enum<_Tp>
      |            ^~~~
/usr/include/c++/14/bits/functional_hash.h:102:12: error: no matching function for call to 'std::__hash_enum<std::vector<std::pair<long long int, int> >, false>::__hash_enum()'
/usr/include/c++/14/bits/functional_hash.h:83:7: note: candidate: 'std::__hash_enum<_Tp, <anonymous> >::__hash_enum(std::__hash_enum<_Tp, <anonymous> >&&) [with _Tp = std::vector<std::pair<long long int, int> >; bool <anonymous> = false]'
   83 |       __hash_enum(__hash_enum&&);
      |       ^~~~~~~~~~~
/usr/include/c++/14/bits/functional_hash.h:83:7: note:   candidate expects 1 argument, 0 provided
/usr/include/c++/14/bits/functional_hash.h:102:12: error: 'std::__hash_enum<_Tp, <anonymous> >::~__hash_enum() [with _Tp = std::vector<std::pair<long long int, int> >; bool <anonymous> = false]' is private within this context
  102 |     struct hash : __hash_enum<_Tp>
      |            ^~~~
/usr/include/c++/14/bits/functional_hash.h:84:7: note: declared private here
   84 |       ~__hash_enum();
      |       ^
/usr/include/c++/14/bits/hashtable_policy.h:1245:49: note: use '-fdiagnostics-all-candidates' to display considered candidates
 1245 |       _Hashtable_ebo_helper() noexcept(noexcept(_Tp())) : _Tp() { }
      |                                                 ^~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1328:7: note: 'std::__detail::_Hash_code_base<_Key, _Value, _ExtractKey, _Hash, _RangeHash, _Unused, __cache_hash_code>::_Hash_code_base() [with _Key = std::vector<std::pair<long long int, int> >; _Value = std::pair<const std::vector<std::pair<long long int, int> >, int>; _ExtractKey = std::__detail::_Select1st; _Hash = std::hash<std::vector<std::pair<long long int, int> > >; _RangeHash = std::__detail::_Mod_range_hashing; _Unused = std::__detail::_Default_ranged_hash; bool __cache_hash_code = true]' is implicitly deleted because the default definition would be ill-formed:
 1328 |       _Hash_code_base() = default;
      |       ^~~~~~~~~~~~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1328:7: error: use of deleted function 'std::__detail::_Hashtable_ebo_helper<1, std::hash<std::vector<std::pair<long long int, int> > >, true>::~_Hashtable_ebo_helper()'
/usr/include/c++/14/bits/hashtable_policy.h:1242:12: note: 'std::__detail::_Hashtable_ebo_helper<1, std::hash<std::vector<std::pair<long long int, int> > >, true>::~_Hashtable_ebo_helper()' is implicitly deleted because the default definition would be ill-formed:
 1242 |     struct _Hashtable_ebo_helper<_Nm, _Tp, true>
      |            ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1242:12: error: use of deleted function 'std::hash<std::vector<std::pair<long long int, int> > >::~hash()'
/usr/include/c++/14/bits/functional_hash.h:102:12: note: 'std::hash<std::vector<std::pair<long long int, int> > >::~hash()' is implicitly deleted because the default definition would be ill-formed:
  102 |     struct hash : __hash_enum<_Tp>
      |            ^~~~
/usr/include/c++/14/bits/functional_hash.h:102:12: error: 'std::__hash_enum<_Tp, <anonymous> >::~__hash_enum() [with _Tp = std::vector<std::pair<long long int, int> >; bool <anonymous> = false]' is private within this context
/usr/include/c++/14/bits/functional_hash.h:84:7: note: declared private here
   84 |       ~__hash_enum();
      |       ^
/usr/include/c++/14/bits/hashtable_policy.h:1731:7: note: use '-fdiagnostics-all-candidates' to display considered candidates
 1731 |       _Hashtable_base() = default;
      |       ^~~~~~~~~~~~~~~
/usr/include/c++/14/bits/hashtable_policy.h:1731:7: error: use of deleted function 'std::__detail::_Hash_code_base<std::vector<std::pair<long long int, int> >, std::pair<const std::vector<std::pair<long long int, int> >, int>, std::__det