Language: C++

#include <bits/stdc++.h>

using namespace std;
using ldbl = long double;
using lpair = pair<__int128, __int128>;

#define ALL(x) x.begin(), x.end()

template<typename T>
constexpr T inf = static_cast<T>(pow(10, static_cast<int>(log10(numeric_limits<T>::max())))) + 7;
constexpr __int128 mod = 1e9+7;

int main() {
	array<__int128, 2> T, A, B;

	for (auto &in: T) {
		cin >> in;
	}
	for (auto &in: A) {
		cin >> in;
	}
	for (auto &in: B) {
		cin >> in;
	}

	array<__int128, 2> sum;
	sum[0] = T[0] * A[0] + T[1] * A[1];
	sum[1] = T[0] * B[0] + T[1] * B[1];

	__int128 diff = sum[0] - sum[1];
	if (diff == 0) {
		cout << "infinity" << endl;
	}
	else {
		__int128 now = diff;
		__int128 ans = 1;
		while (-now + T[0] * max(A[0], B[0]) >= T[0] * min(A[0], B[0])) {
			now += abs(diff);
			ans += 2;
		}
		cout << ans << endl;

		// __int128 ok = -1;
		// __int128 ng = inf<__int128>;
		// while (abs(ok - ng) > 1) {
		// 	__int128 mid = (ok + ng) / 2;
		// 	__int128 check = T[0] * (diff < 0 ? A[0] : B[0]);
		// 	if (check >= mid + T[0] * (diff < 0 ? B[0] : A[0])) {
		// 		ok = mid;
		// 	}
		// 	else {
		// 		ng = mid;
		// 	}
		// }

		// cerr << ok << " " << ng << endl;
		// cout << (ng/diff + (ng%diff > 0))*2 - 1 << endl;
	}

	return 0;
}


Compiler output:
a.cc: In function 'int main()':
a.cc:17:21: error: no match for 'operator>>' (operand types are 'std::istream' {aka 'std::basic_istream<char>'} and '__int128')
   17 |                 cin >> in;
      |                 ~~~ ^~ ~~
      |                 |      |
      |                 |      __int128
      |                 std::istream {aka std::basic_istream<char>}
In file included from /usr/include/c++/14/sstream:40,
                 from /usr/include/c++/14/complex:45,
                 from /usr/include/c++/14/ccomplex:39,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:127,
                 from a.cc:1:
/usr/include/c++/14/istream:170:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(bool&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  170 |       operator>>(bool& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:170:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'bool&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:174:7: note: candidate: 'std::basic_istream<_CharT, _Traits>& std::basic_istream<_CharT, _Traits>::operator>>(short int&) [with _CharT = char; _Traits = std::char_traits<char>]' (near match)
  174 |       operator>>(short& __n);
      |       ^~~~~~~~
/usr/include/c++/14/istream:174:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'short int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:177:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(short unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  177 |       operator>>(unsigned short& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:177:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'short unsigned int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:181:7: note: candidate: 'std::basic_istream<_CharT, _Traits>& std::basic_istream<_CharT, _Traits>::operator>>(int&) [with _CharT = char; _Traits = std::char_traits<char>]' (near match)
  181 |       operator>>(int& __n);
      |       ^~~~~~~~
/usr/include/c++/14/istream:181:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:184:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  184 |       operator>>(unsigned int& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:184:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'unsigned int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:188:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  188 |       operator>>(long& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:188:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'long int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:192:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  192 |       operator>>(unsigned long& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:192:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'long unsigned int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:199:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  199 |       operator>>(long long& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:199:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'long long int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:203:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long long unsigned int&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  203 |       operator>>(unsigned long long& __n)
      |       ^~~~~~~~
/usr/include/c++/14/istream:203:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'long long unsigned int&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:219:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(float&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  219 |       operator>>(float& __f)
      |       ^~~~~~~~
/usr/include/c++/14/istream:219:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'float&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:223:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(double&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  223 |       operator>>(double& __f)
      |       ^~~~~~~~
/usr/include/c++/14/istream:223:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'double&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:227:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(long double&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  227 |       operator>>(long double& __f)
      |       ^~~~~~~~
/usr/include/c++/14/istream:227:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: cannot bind non-const lvalue reference of type 'long double&' to a value of type '__int128'
   17 |                 cin >> in;
      |                        ^~
/usr/include/c++/14/istream:328:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(void*&) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  328 |       operator>>(void*& __p)
      |       ^~~~~~~~
/usr/include/c++/14/istream:328:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: invalid conversion from '__int128' to 'void*' [-fpermissive]
   17 |                 cin >> in;
      |                        ^~
      |                        |
      |                        __int128
a.cc:17:24: error: cannot bind rvalue '(void*)((long int)in)' to 'void*&'
/usr/include/c++/14/istream:122:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(__istream_type& (*)(__istream_type&)) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>]' (near match)
  122 |       operator>>(__istream_type& (*__pf)(__istream_type&))
      |       ^~~~~~~~
/usr/include/c++/14/istream:122:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: invalid conversion from '__int128' to 'std::basic_istream<char>::__istream_type& (*)(std::basic_istream<char>::__istream_type&)' {aka 'std::basic_istream<char>& (*)(std::basic_istream<char>&)'} [-fpermissive]
   17 |                 cin >> in;
      |                        ^~
      |                        |
      |                        __int128
/usr/include/c++/14/istream:126:7: note: candidate: 'std::basic_istream<_CharT, _Traits>::__istream_type& std::basic_istream<_CharT, _Traits>::operator>>(__ios_type& (*)(__ios_type&)) [with _CharT = char; _Traits = std::char_traits<char>; __istream_type = std::basic_istream<char>; __ios_type = std::basic_ios<char>]' (near match)
  126 |       operator>>(__ios_type& (*__pf)(__ios_type&))
      |       ^~~~~~~~
/usr/include/c++/14/istream:126:7: note:   conversion of argument 1 would be ill-formed:
a.cc:17:24: error: invalid conversion from '__int128' to 'std::basic_istream<char>::__ios_type& (*)(std::basic_istream<char>::__ios_type&)' {aka 'std::basic_ios<char>& (*)(std::basic_ios<char>&)'} [-fpermissive]
   17 |                 cin >> in;
      |                        ^~
      |