Language: C++

#ifndef ___Geometry_Library
#define ___Geometry_Library
??
// ------ Includes ------ //
#include <cmath>
#include <vector>
#include <complex>
#include <utility>
#include <algorithm>
??
// ------ Defines ------ //
typedef long double GType;
typedef std::complex<GType> Point;
typedef std::pair<Point, Point> Segment;
??
// ------ Constants ------ //
const GType EPS = 1.0e-10L;
??
// ------ Functions Level 1 ------ //
GType dot(const Point& p1, const Point& p2) {
	return (std::conj(p1) * p2).real();
}
GType cross(const Point& p1, const Point& p2) {
	return (std::conj(p1) * p2).imag();
}
int ccw(const Point& p1, const Point& p2, const Point& p3) {
	Point v1 = p2 - p1, v2 = p3 - p1;
	if (cross(v1, v2) > EPS) return +1;
	if (cross(v1, v2) < -EPS) return -1;
	if (dot(v1, v2) < -EPS) return +2;
	if (std::norm(v1) < std::norm(v2)) return -2;
	return 0;
}
??
// ------ Functions Level 2 ------ //
bool intersect(const Segment& s1, const Point& p1, bool segflag) {
	if (!segflag) return std::abs(cross(s1.second - p1, s1.first - p1)) < EPS;
	return (std::abs(s1.first - p1) + std::abs(s1.second - p1) - std::abs(s1.second - s1.first)) < EPS;
}
bool intersect(const Segment& s1, const Segment& s2, bool segflag) {
	if (!segflag) return cross(s1.second - s1.first, s2.first - s1.first) * cross(s1.second - s1.first, s2.second - s1.first) < EPS;
	return (ccw(s1.first, s1.second, s2.first) * ccw(s1.first, s1.second, s2.second) < 0 && ccw(s2.first, s2.second, s1.first) * ccw(s2.first, s2.second, s1.second) < 0);
}
Point crosspoint(const Segment& s1, const Segment& s2) {
	GType r1 = cross(s1.second - s1.first, s2.second - s2.first);
	GType r2 = cross(s1.second - s1.first, s1.second - s2.first);
	if (std::abs(r1) < EPS && std::abs(r2) < EPS) return s2.first;
	return s2.first + r2 / r1 * (s2.second - s2.first);
}
??
#endif
??
#include <vector>
#include <iostream>
using namespace std;
int N, M, r, x, y; vector<vector<Point> > v1; vector<Point> v2, v3;
int main() {
	cin >> N >> M;
	v1.resize(N);
	for (int i = 0; i < N; i++) {
		cin >> r;
		for (int j = 0; j < r; j++) {
			cin >> x >> y;
			v1[i].push_back(Point(x, y));
		}
		v3.insert(v3.end(), v1[i].begin(), v1[i].end());
	}
	for (int i = 0; i < M; i++) {
		cin >> x >> y;
		v2.push_back(Point(x, y));
	}
	int ret = 1;
	for (int i1 = 0; i1 < M; i1++) {
		for (int j1 = 0; j1 < v3.size(); j1++) {
			for (int i2 = i1 + 1; i2 < M; i2++) {
				for (int j2 = j1 + 1; j2 < v3.size(); j2++) {
					if (abs(cross(v2[i1] - v3[j1], v2[i2] - v3[j2])) > EPS) {
						Point p1 = crosspoint(make_pair(v2[i1], v3[j1]), make_pair(v2[i2], v3[j2]));
						int res = 0;
						for (int k = 0; k < M; k++) {
							bool ok = true;
							for (int l1 = 0; l1 < N; l1++) {
								for (int l2 = 0; l2 < v1[l1].size(); l2++) {
									if (intersect(make_pair(p1, v2[k]), make_pair(v1[l1][l2], v1[l1][(l2 + 1) % v1[l1].size()]), true)) ok = false;
								}
							}
							if (ok) res++;
						}
						ret = max(ret, res);
					}
				}
			}
		}
	}
	for (int i = 0; i < v3.size(); i++) {
		int res = 0;
		for (int k = 0; k < M; k++) {
			bool ok = true;
			for (int l1 = 0; l1 < N; l1++) {
				for (int l2 = 0; l2 < v1[l1].size(); l2++) {
					Point p2 = v1[l1][l2], p3 = v1[l1][(l2 + 1) % v1[l1].size()];
					if (v3[i] == p2 || v3[i] == p3) continue;
					if (intersect(make_pair(v3[i], v2[k]), make_pair(p2, p3), true)) ok = false;
				}
			}
			if (ok) res++;
		}
		ret = max(ret, res);
	}
	cout << ret << endl;
	return 0;
}

Compiler output:
a.cc:3:1: error: expected unqualified-id before '?' token
    3 | ??
      | ^
In file included from /usr/include/c++/14/cmath:45,
                 from a.cc:5:
/usr/include/c++/14/ext/type_traits.h:164:35: error: 'constexpr const bool __gnu_cxx::__is_null_pointer' redeclared as different kind of entity
  164 |   __is_null_pointer(std::nullptr_t)
      |                                   ^
/usr/include/c++/14/ext/type_traits.h:159:5: note: previous declaration 'template<class _Type> constexpr bool __gnu_cxx::__is_null_pointer(_Type)'
  159 |     __is_null_pointer(_Type)
      |     ^~~~~~~~~~~~~~~~~
/usr/include/c++/14/ext/type_traits.h:164:26: error: 'nullptr_t' is not a member of 'std'
  164 |   __is_null_pointer(std::nullptr_t)
      |                          ^~~~~~~~~
In file included from /usr/include/c++/14/bits/stl_pair.h:60,
                 from /usr/include/c++/14/bits/stl_algobase.h:64,
                 from /usr/include/c++/14/bits/specfun.h:43,
                 from /usr/include/c++/14/cmath:3906:
/usr/include/c++/14/type_traits:666:33: error: 'nullptr_t' is not a member of 'std'
  666 |     struct is_null_pointer<std::nullptr_t>
      |                                 ^~~~~~~~~
/usr/include/c++/14/type_traits:666:42: error: template argument 1 is invalid
  666 |     struct is_null_pointer<std::nullptr_t>
      |                                          ^
/usr/include/c++/14/type_traits:670:48: error: template argument 1 is invalid
  670 |     struct is_null_pointer<const std::nullptr_t>
      |                                                ^
/usr/include/c++/14/type_traits:674:51: error: template argument 1 is invalid
  674 |     struct is_null_pointer<volatile std::nullptr_t>
      |                                                   ^
/usr/include/c++/14/type_traits:678:57: error: template argument 1 is invalid
  678 |     struct is_null_pointer<const volatile std::nullptr_t>
      |                                                         ^
/usr/include/c++/14/type_traits:1429:37: error: 'size_t' is not a member of 'std'; did you mean 'size_t'?
 1429 |     : public integral_constant<std::size_t, alignof(_Tp)>
      |                                     ^~~~~~
In file included from /usr/include/stdlib.h:32,
                 from /usr/include/c++/14/bits/std_abs.h:38,
                 from /usr/include/c++/14/cmath:49:
/usr/lib/gcc/x86_64-linux-gnu/14/include/stddef.h:214:23: note: 'size_t' declared here
  214 | typedef __SIZE_TYPE__ size_t;
      |                       ^~~~~~
/usr/include/c++/14/type_traits:1429:57: error: template argument 1 is invalid
 1429 |     : public integral_constant<std::size_t, alignof(_Tp)>
      |                                                         ^
/usr/include/c++/14/type_traits:1429:57: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1438:37: error: 'size_t' is not a member of 'std'; did you mean 'size_t'?
 1438 |     : public integral_constant<std::size_t, 0> { };
      |                                     ^~~~~~
/usr/lib/gcc/x86_64-linux-gnu/14/include/stddef.h:214:23: note: 'size_t' declared here
  214 | typedef __SIZE_TYPE__ size_t;
      |                       ^~~~~~
/usr/include/c++/14/type_traits:1438:46: error: template argument 1 is invalid
 1438 |     : public integral_constant<std::size_t, 0> { };
      |                                              ^
/usr/include/c++/14/type_traits:1438:46: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1440:26: error: 'std::size_t' has not been declared
 1440 |   template<typename _Tp, std::size_t _Size>
      |                          ^~~
/usr/include/c++/14/type_traits:1441:21: error: '_Size' was not declared in this scope
 1441 |     struct rank<_Tp[_Size]>
      |                     ^~~~~
/usr/include/c++/14/type_traits:1441:27: error: template argument 1 is invalid
 1441 |     struct rank<_Tp[_Size]>
      |                           ^
/usr/include/c++/14/type_traits:1442:37: error: 'size_t' is not a member of 'std'; did you mean 'size_t'?
 1442 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                     ^~~~~~
/usr/lib/gcc/x86_64-linux-gnu/14/include/stddef.h:214:23: note: 'size_t' declared here
  214 | typedef __SIZE_TYPE__ size_t;
      |                       ^~~~~~
/usr/include/c++/14/type_traits:1442:65: error: template argument 1 is invalid
 1442 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                                                 ^
/usr/include/c++/14/type_traits:1442:65: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:1446:37: error: 'size_t' is not a member of 'std'; did you mean 'size_t'?
 1446 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                     ^~~~~~
/usr/lib/gcc/x86_64-linux-gnu/14/include/stddef.h:214:23: note: 'size_t' declared here
  214 | typedef __SIZE_TYPE__ size_t;
      |                       ^~~~~~
/usr/include/c++/14/type_traits:1446:65: error: template argument 1 is invalid
 1446 |     : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
      |                                                                 ^
/usr/include/c++/14/type_traits:1446:65: note: invalid template non-type parameter
/usr/include/c++/14/type_traits:2086:26: error: 'std::size_t' has not been declared
 2086 |   template<typename _Tp, std::size_t _Size>
      |                          ^~~
/usr/include/c++/14/type_traits:2087:30: error: '_Size' was not declared in this scope
 2087 |     struct remove_extent<_Tp[_Size]>
      |                              ^~~~~
/usr/include/c++/14/type_traits:2087:36: error: template argument 1 is invalid
 2087 |     struct remove_extent<_Tp[_Size]>
      |                                    ^
/usr/include/c++/14/type_traits:2099:26: error: 'std::size_t' has not been declared
 2099 |   template<typename _Tp, std::size_t _Size>
      |                          ^~~
/usr/include/c++/14/type_traits:2100:35: error: '_Size' was not declared in this scope
 2100 |     struct remove_all_extents<_Tp[_Size]>
      |                                   ^~~~~
/usr/include/c++/14/type_traits:2100:41: error: template argument 1 is invalid
 2100 |     struct remove_all_extents<_Tp[_Size]>
      |                                         ^
/usr/include/c++/14/type_traits:2171:12: error: 'std::size_t' has not been declared
 2171 |   template<std::size_t _Len>
      |            ^~~
/usr/include/c++/14/type_traits:2176:30: error: '_Len' was not declared in this scope
 2176 |         unsigned char __data[_Len];
      |                              ^~~~
/usr/include/c++/14/type_traits:2194:12: error: 'std::size_t' has not been declared
 2194 |   template<std::size_t _Len, std::size_t _Align =
      |            ^~~
/usr/include/c++/14/type_traits:2194:30: error: 'std::size_t' has not been declared
 2194 |   template<std::size_t _Len, std::size_t _Align =
      |                              ^~~
/usr/include/c++/14/type_traits:2195:55: error: '_Len' was not declared in this scope
 2195 |            __alignof__(typename __aligned_storage_msa<_Len>::__type)>
      |                                                       ^~~~
/usr/include/c++/14/type_traits:2195:59: error: template argument 1 is invalid
 2195 |            __alignof__(typename __aligned_storage_msa<_Len>::__type)>
      |                                                           ^
/usr/include/c++/14/type_traits:2202:30: error: '_Len' was not declared in this scope
 2202 |         unsigned char __data[_Len];
      |                              ^~~~
/usr/include/c++/14/type_traits:2203:44: error: '_Align' was not declared in this scope
 2203 |         struct __attribute__((__aligned__((_Align)))) { } __align;
      |                                            ^~~~~~
In file included from /usr/include/c++/14/bits/stl_algobase.h:65:
/usr/include/c++/14/bits/stl_iterator_base_types.h:125:67: error: 'ptrdiff_t' does not name a type
  125 |   template<typename _Category, typename _Tp, typename _Distance = ptrdiff_t,
      |                                                                   ^~~~~~~~~
/usr/include/c++/14/bits/stl_iterator_base_types.h:1:1: note: 'ptrdiff_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
  +++ |+#include <cstddef>
    1 | // Types used in iterator implementation -*- C++ -*-
/usr/include/c++/14/bits/stl_iterator_base_types.h:214:15: error: 'ptrdiff_t' does not name a type
  214 |       typedef ptrdiff_t                   difference_type;
      |               ^~~~~~~~~
/usr/include/c++/14/bits/stl_iterator_base_types.h:214:15: note: 'ptrdiff_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
/usr/include/c++/14/bits/stl_iterator_base_types.h:225:15: error: 'ptrdiff_t' does not name a type
  225 |       typedef ptrdiff_t                   difference_type;
      |               ^~~~~~~~~
/usr/include/c++/14/bits/stl_iterator_base_types.h:225:15: note: 'ptrdiff_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
In file included from /usr/include/c++/14/bits/stl_algobase.h:66:
/usr/include/c++/14/bits/stl_iterator_base_funcs.h:112:5: error: 'ptrdiff_t' does not name a type
  112 |     ptrdiff_t
      |     ^~~~~~~~~
/usr/include/c++/14/bits/stl_iterator_base_funcs.h:66:1: note: 'ptrdiff_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
   65 | #include <debug/assertions.h>
  +++ |+#include <cstddef>
   66 | #include <bits/stl_iterator_base_types.h>
/usr/include/c++/14/bits/stl_iterator_base_funcs.h:118:5: error: 'ptrdiff_t' does not name a type
  118 |     ptrdiff_t
      |     ^~~~~~~~~
/usr/include/c++/14/bits/stl_iterator_base_funcs.h:118:5: note: 'ptrdiff_t' is defined in header '<cstddef>'; this is probably fixable by adding '#include <cstddef>'
In file included from /usr/include/c++/14/bits/stl_iterator.h:67,
                 from /usr/include/c++/14/bits/stl_algobase.h:67:
/usr/include/c++/14/bits/ptr_traits