Language: C++

#include<iostream>
#include<iomanip>
#include<cassert>
#include<stdexcept>
#include<utility>
#include<functional>
#include<numeric>
#include<cmath>
#include<algorithm>
#include<cstdio>
#include<cstdlib>
#include<array>
#include<stack>
#include<queue>
#include<deque>
#include<vector>
#include<complex>
#include<set>
#include<map>
#include<unordered_map>
#include<unordered_set>
#include<string>
#include<bitset>
#include<memory>
using namespace std;
using ll=__int128;

int main(){
    ll n;
    long long tmp;
    cin>>tmp;
    n=tmp;
    ll x,d;
    cin>>tmp;
    x = tmp;
    cin>>tmp;
    d=tmp;
    if(d==0){
        if(x==0) cout<<1<<endl;
        else{
            cout<<(n*(n-1)/2+1)<<endl;
        }
        return 0;
    }
    map<ll,map<ll,int>> mp;
    for(int i=0;i<=n;i++){
        ll offset = i*x - (n-i)*x;
        ll plus = (n*(n-1)/2 - (n-i)*(n-i-1))*d;
        ll minus = (ll(i)*(i-1) - (n-1)*n/2)*d;
        if(d<0) swap(plus,minus);
        const ll mod = 2*(d<0 ? -d : d);
        ll l = minus + offset;
        ll r = plus + offset + mod;
        ll id = (l%mod+mod)%mod;
        mp[id][(l-id)/mod]++;
        mp[id][(r-id)/mod]--;
    }
    ll res = 0;
    for(auto &imo:mp){
        int sum = 0;
        ll l;
        for(auto &e:imo.second){
            if(sum) res+=e.first-l;
            l=e.first;
            sum+=e.second;
        }
    }
    cout<<(long long)(res)<<endl;
    
    return 0;
}


Compiler output:
a.cc: In function 'int main()':
a.cc:41:17: error: ambiguous overload for 'operator<<' (operand types are 'std::ostream' {aka 'std::basic_ostream<char>'} and 'll' {aka '__int128'})
   41 |             cout<<(n*(n-1)/2+1)<<endl;
      |             ~~~~^~~~~~~~~~~~~~~
      |             |               |
      |             |               ll {aka __int128}
      |             std::ostream {aka std::basic_ostream<char>}
In file included from /usr/include/c++/14/iostream:41,
                 from a.cc:1:
/usr/include/c++/14/ostream:174:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  174 |       operator<<(long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:178:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  178 |       operator<<(unsigned long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:182:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(bool) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  182 |       operator<<(bool __n)
      |       ^~~~~~~~
In file included from /usr/include/c++/14/ostream:1022:
/usr/include/c++/14/bits/ostream.tcc:96:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::basic_ostream<_CharT, _Traits>::operator<<(short int) [with _CharT = char; _Traits = std::char_traits<char>]'
   96 |     basic_ostream<_CharT, _Traits>::
      |     ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:189:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(short unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  189 |       operator<<(unsigned short __n)
      |       ^~~~~~~~
/usr/include/c++/14/bits/ostream.tcc:110:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::basic_ostream<_CharT, _Traits>::operator<<(int) [with _CharT = char; _Traits = std::char_traits<char>]'
  110 |     basic_ostream<_CharT, _Traits>::
      |     ^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/ostream:200:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  200 |       operator<<(unsigned int __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:211:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long long int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  211 |       operator<<(long long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:215:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long long unsigned int) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  215 |       operator<<(unsigned long long __n)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:231:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(double) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  231 |       operator<<(double __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:235:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(float) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  235 |       operator<<(float __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:243:7: note: candidate: 'std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(long double) [with _CharT = char; _Traits = std::char_traits<char>; __ostream_type = std::basic_ostream<char>]'
  243 |       operator<<(long double __f)
      |       ^~~~~~~~
/usr/include/c++/14/ostream:573:5: note: candidate: 'std::basic_ostream<_CharT, _Traits>& std::operator<<(basic_ostream<_CharT, _Traits>&, char) [with _CharT = char; _Traits = char_traits<char>]'
  573 |     operator<<(basic_ostream<_CharT, _Traits>& __out, char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:579:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, char) [with _Traits = char_traits<char>]'
  579 |     operator<<(basic_ostream<char, _Traits>& __out, char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:590:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, signed char) [with _Traits = char_traits<char>]'
  590 |     operator<<(basic_ostream<char, _Traits>& __out, signed char __c)
      |     ^~~~~~~~
/usr/include/c++/14/ostream:595:5: note: candidate: 'std::basic_ostream<char, _Traits>& std::operator<<(basic_ostream<char, _Traits>&, unsigned char) [with _Traits = char_traits<char>]'
  595 |     operator<<(basic_ostream<char, _Traits>& __out, unsigned char __c)
      |     ^~~~~~~~